{"qa_id": "aae6361a3c69442f9e2944d76b3d0fb2", "image_id": "L3-MazeLoop-test_7x7_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T53, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "T53", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "M95", "traversal_path": [{"identifier": "T53", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "I37", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "R78", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "O49", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "K66", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "T33", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "M95", "position": [1, 2], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_000.json"}} {"qa_id": "21506dd4433f404cbf1208df686487e3", "image_id": "L3-MazeLoop-test_7x7_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V35, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "V35", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "S13", "traversal_path": [{"identifier": "V35", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "E04", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "D02", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "S13", "position": [2, 5], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_000.json"}} {"qa_id": "e95c540977674e3a91542b4282352728", "image_id": "L3-MazeLoop-test_7x7_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W92, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "W92", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "T53", "traversal_path": [{"identifier": "W92", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "Z02", "position": [4, 5], "step": 1, "ordinal_position": 2}, {"identifier": "N52", "position": [5, 5], "step": 2, "ordinal_position": 3}, {"identifier": "C55", "position": [5, 4], "step": 3, "ordinal_position": 4}, {"identifier": "E12", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "T53", "position": [5, 2], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 6, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_000.json"}} {"qa_id": "503efd6a56744e119e72d45d73b85b28", "image_id": "L3-MazeLoop-test_7x7_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C55, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "C55", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "E04", "traversal_path": [{"identifier": "C55", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "N52", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "Z02", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "W92", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "S13", "position": [2, 5], "step": 4, "ordinal_position": 5}, {"identifier": "D02", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "E04", "position": [1, 4], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_000.json"}} {"qa_id": "9ae45804a39c4386b12e7c5819e049c3", "image_id": "L3-MazeLoop-test_7x7_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C55, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "C55", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "W92", "traversal_path": [{"identifier": "C55", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "N52", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "Z02", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "W92", "position": [3, 5], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_000.json"}} {"qa_id": "39153b4de9ae4c1a86e7757fafb513ae", "image_id": "L3-MazeLoop-test_7x7_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O49, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 12th position in this traversal?", "start_object_id": "O49", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [12], "ordinal_strings": ["12th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "R78", "traversal_path": [{"identifier": "O49", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "W63", "position": [3, 2], "step": 1, "ordinal_position": 2}, {"identifier": "M70", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "W47", "position": [3, 4], "step": 3, "ordinal_position": 4}, {"identifier": "W92", "position": [3, 5], "step": 4, "ordinal_position": 5}, {"identifier": "Z02", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "N52", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "C55", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "E12", "position": [5, 3], "step": 8, "ordinal_position": 9}, {"identifier": "T53", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "I37", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "R78", "position": [4, 1], "step": 11, "ordinal_position": 12}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 12, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_000.json"}} {"qa_id": "417f0bbea0f94dd2b8947a4ecbf5cfa0", "image_id": "L3-MazeLoop-test_7x7_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M70, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 34th position in this traversal?", "start_object_id": "M70", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [34], "ordinal_strings": ["34th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Z02", "traversal_path": [{"identifier": "M70", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "W47", "position": [3, 4], "step": 1, "ordinal_position": 2}, {"identifier": "W92", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "S13", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "D02", "position": [1, 5], "step": 4, "ordinal_position": 5}, {"identifier": "E04", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "V35", "position": [1, 3], "step": 6, "ordinal_position": 7}, {"identifier": "M95", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "T33", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "K66", "position": [2, 1], "step": 9, "ordinal_position": 10}, {"identifier": "O49", "position": [3, 1], "step": 10, "ordinal_position": 11}, {"identifier": "R78", "position": [4, 1], "step": 11, "ordinal_position": 12}, {"identifier": "I37", "position": [5, 1], "step": 12, "ordinal_position": 13}, {"identifier": "T53", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "E12", "position": [5, 3], "step": 14, "ordinal_position": 15}, {"identifier": "C55", "position": [5, 4], "step": 15, "ordinal_position": 16}, {"identifier": "N52", "position": [5, 5], "step": 16, "ordinal_position": 17}, {"identifier": "Z02", "position": [4, 5], "step": 17, "ordinal_position": 18}, {"identifier": "W92", "position": [3, 5], "step": 18, "ordinal_position": 19}, {"identifier": "S13", "position": [2, 5], "step": 19, "ordinal_position": 20}, {"identifier": "D02", "position": [1, 5], "step": 20, "ordinal_position": 21}, {"identifier": "E04", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "V35", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "M95", "position": [1, 2], "step": 23, "ordinal_position": 24}, {"identifier": "T33", "position": [1, 1], "step": 24, "ordinal_position": 25}, {"identifier": "K66", "position": [2, 1], "step": 25, "ordinal_position": 26}, {"identifier": "O49", "position": [3, 1], "step": 26, "ordinal_position": 27}, {"identifier": "R78", "position": [4, 1], "step": 27, "ordinal_position": 28}, {"identifier": "I37", "position": [5, 1], "step": 28, "ordinal_position": 29}, {"identifier": "T53", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "E12", "position": [5, 3], "step": 30, "ordinal_position": 31}, {"identifier": "C55", "position": [5, 4], "step": 31, "ordinal_position": 32}, {"identifier": "N52", "position": [5, 5], "step": 32, "ordinal_position": 33}, {"identifier": "Z02", "position": [4, 5], "step": 33, "ordinal_position": 34}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 34, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_000.json"}} {"qa_id": "be9240bceabc42e0bea86c43adb2e161", "image_id": "L3-MazeLoop-test_7x7_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W63, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 60th position in this traversal?", "start_object_id": "W63", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [60], "ordinal_strings": ["60th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "D02", "traversal_path": [{"identifier": "W63", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "O49", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "R78", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "I37", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "T53", "position": [5, 2], "step": 4, "ordinal_position": 5}, {"identifier": "E12", "position": [5, 3], "step": 5, "ordinal_position": 6}, {"identifier": "C55", "position": [5, 4], "step": 6, "ordinal_position": 7}, {"identifier": "N52", "position": [5, 5], "step": 7, "ordinal_position": 8}, {"identifier": "Z02", "position": [4, 5], "step": 8, "ordinal_position": 9}, {"identifier": "W92", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "S13", "position": [2, 5], "step": 10, "ordinal_position": 11}, {"identifier": "D02", "position": [1, 5], "step": 11, "ordinal_position": 12}, {"identifier": "E04", "position": [1, 4], "step": 12, "ordinal_position": 13}, {"identifier": "V35", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "M95", "position": [1, 2], "step": 14, "ordinal_position": 15}, {"identifier": "T33", "position": [1, 1], "step": 15, "ordinal_position": 16}, {"identifier": "K66", "position": [2, 1], "step": 16, "ordinal_position": 17}, {"identifier": "O49", "position": [3, 1], "step": 17, "ordinal_position": 18}, {"identifier": "R78", "position": [4, 1], "step": 18, "ordinal_position": 19}, {"identifier": "I37", "position": [5, 1], "step": 19, "ordinal_position": 20}, {"identifier": "T53", "position": [5, 2], "step": 20, "ordinal_position": 21}, {"identifier": "E12", "position": [5, 3], "step": 21, "ordinal_position": 22}, {"identifier": "C55", "position": [5, 4], "step": 22, "ordinal_position": 23}, {"identifier": "N52", "position": [5, 5], "step": 23, "ordinal_position": 24}, {"identifier": "Z02", "position": [4, 5], "step": 24, "ordinal_position": 25}, {"identifier": "W92", "position": [3, 5], "step": 25, "ordinal_position": 26}, {"identifier": "S13", "position": [2, 5], "step": 26, "ordinal_position": 27}, {"identifier": "D02", "position": [1, 5], "step": 27, "ordinal_position": 28}, {"identifier": "E04", "position": [1, 4], "step": 28, "ordinal_position": 29}, {"identifier": "V35", "position": [1, 3], "step": 29, "ordinal_position": 30}, {"identifier": "M95", "position": [1, 2], "step": 30, "ordinal_position": 31}, {"identifier": "T33", "position": [1, 1], "step": 31, "ordinal_position": 32}, {"identifier": "K66", "position": [2, 1], "step": 32, "ordinal_position": 33}, {"identifier": "O49", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "R78", "position": [4, 1], "step": 34, "ordinal_position": 35}, {"identifier": "I37", "position": [5, 1], "step": 35, "ordinal_position": 36}, {"identifier": "T53", "position": [5, 2], "step": 36, "ordinal_position": 37}, {"identifier": "E12", "position": [5, 3], "step": 37, "ordinal_position": 38}, {"identifier": "C55", "position": [5, 4], "step": 38, "ordinal_position": 39}, {"identifier": "N52", "position": [5, 5], "step": 39, "ordinal_position": 40}, {"identifier": "Z02", "position": [4, 5], "step": 40, "ordinal_position": 41}, {"identifier": "W92", "position": [3, 5], "step": 41, "ordinal_position": 42}, {"identifier": "S13", "position": [2, 5], "step": 42, "ordinal_position": 43}, {"identifier": "D02", "position": [1, 5], "step": 43, "ordinal_position": 44}, {"identifier": "E04", "position": [1, 4], "step": 44, "ordinal_position": 45}, {"identifier": "V35", "position": [1, 3], "step": 45, "ordinal_position": 46}, {"identifier": "M95", "position": [1, 2], "step": 46, "ordinal_position": 47}, {"identifier": "T33", "position": [1, 1], "step": 47, "ordinal_position": 48}, {"identifier": "K66", "position": [2, 1], "step": 48, "ordinal_position": 49}, {"identifier": "O49", "position": [3, 1], "step": 49, "ordinal_position": 50}, {"identifier": "R78", "position": [4, 1], "step": 50, "ordinal_position": 51}, {"identifier": "I37", "position": [5, 1], "step": 51, "ordinal_position": 52}, {"identifier": "T53", "position": [5, 2], "step": 52, "ordinal_position": 53}, {"identifier": "E12", "position": [5, 3], "step": 53, "ordinal_position": 54}, {"identifier": "C55", "position": [5, 4], "step": 54, "ordinal_position": 55}, {"identifier": "N52", "position": [5, 5], "step": 55, "ordinal_position": 56}, {"identifier": "Z02", "position": [4, 5], "step": 56, "ordinal_position": 57}, {"identifier": "W92", "position": [3, 5], "step": 57, "ordinal_position": 58}, {"identifier": "S13", "position": [2, 5], "step": 58, "ordinal_position": 59}, {"identifier": "D02", "position": [1, 5], "step": 59, "ordinal_position": 60}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 60, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_000.json"}} {"qa_id": "f082549024264c9584b201abe0c4290e", "image_id": "L3-MazeLoop-test_7x7_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D02, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 57th position in this traversal?", "start_object_id": "D02", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [57], "ordinal_strings": ["57th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "I37", "traversal_path": [{"identifier": "D02", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "E04", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "V35", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "M95", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "T33", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "K66", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "O49", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "R78", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "I37", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "T53", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "E12", "position": [5, 3], "step": 10, "ordinal_position": 11}, {"identifier": "C55", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "N52", "position": [5, 5], "step": 12, "ordinal_position": 13}, {"identifier": "Z02", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "W92", "position": [3, 5], "step": 14, "ordinal_position": 15}, {"identifier": "S13", "position": [2, 5], "step": 15, "ordinal_position": 16}, {"identifier": "D02", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "E04", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "V35", "position": [1, 3], "step": 18, "ordinal_position": 19}, {"identifier": "M95", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "T33", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "K66", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "O49", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "R78", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "I37", "position": [5, 1], "step": 24, "ordinal_position": 25}, {"identifier": "T53", "position": [5, 2], "step": 25, "ordinal_position": 26}, {"identifier": "E12", "position": [5, 3], "step": 26, "ordinal_position": 27}, {"identifier": "C55", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "N52", "position": [5, 5], "step": 28, "ordinal_position": 29}, {"identifier": "Z02", "position": [4, 5], "step": 29, "ordinal_position": 30}, {"identifier": "W92", "position": [3, 5], "step": 30, "ordinal_position": 31}, {"identifier": "S13", "position": [2, 5], "step": 31, "ordinal_position": 32}, {"identifier": "D02", "position": [1, 5], "step": 32, "ordinal_position": 33}, {"identifier": "E04", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "V35", "position": [1, 3], "step": 34, "ordinal_position": 35}, {"identifier": "M95", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "T33", "position": [1, 1], "step": 36, "ordinal_position": 37}, {"identifier": "K66", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "O49", "position": [3, 1], "step": 38, "ordinal_position": 39}, {"identifier": "R78", "position": [4, 1], "step": 39, "ordinal_position": 40}, {"identifier": "I37", "position": [5, 1], "step": 40, "ordinal_position": 41}, {"identifier": "T53", "position": [5, 2], "step": 41, "ordinal_position": 42}, {"identifier": "E12", "position": [5, 3], "step": 42, "ordinal_position": 43}, {"identifier": "C55", "position": [5, 4], "step": 43, "ordinal_position": 44}, {"identifier": "N52", "position": [5, 5], "step": 44, "ordinal_position": 45}, {"identifier": "Z02", "position": [4, 5], "step": 45, "ordinal_position": 46}, {"identifier": "W92", "position": [3, 5], "step": 46, "ordinal_position": 47}, {"identifier": "S13", "position": [2, 5], "step": 47, "ordinal_position": 48}, {"identifier": "D02", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "E04", "position": [1, 4], "step": 49, "ordinal_position": 50}, {"identifier": "V35", "position": [1, 3], "step": 50, "ordinal_position": 51}, {"identifier": "M95", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "T33", "position": [1, 1], "step": 52, "ordinal_position": 53}, {"identifier": "K66", "position": [2, 1], "step": 53, "ordinal_position": 54}, {"identifier": "O49", "position": [3, 1], "step": 54, "ordinal_position": 55}, {"identifier": "R78", "position": [4, 1], "step": 55, "ordinal_position": 56}, {"identifier": "I37", "position": [5, 1], "step": 56, "ordinal_position": 57}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 57, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_000.json"}} {"qa_id": "79c7aaad6dd748f28a927e8478451e90", "image_id": "L3-MazeLoop-test_7x7_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V35, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 49th position in this traversal?", "start_object_id": "V35", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [49], "ordinal_strings": ["49th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "V35", "traversal_path": [{"identifier": "V35", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "E04", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "D02", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "S13", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "W92", "position": [3, 5], "step": 4, "ordinal_position": 5}, {"identifier": "Z02", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "N52", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "C55", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "E12", "position": [5, 3], "step": 8, "ordinal_position": 9}, {"identifier": "T53", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "I37", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "R78", "position": [4, 1], "step": 11, "ordinal_position": 12}, {"identifier": "O49", "position": [3, 1], "step": 12, "ordinal_position": 13}, {"identifier": "K66", "position": [2, 1], "step": 13, "ordinal_position": 14}, {"identifier": "T33", "position": [1, 1], "step": 14, "ordinal_position": 15}, {"identifier": "M95", "position": [1, 2], "step": 15, "ordinal_position": 16}, {"identifier": "V35", "position": [1, 3], "step": 16, "ordinal_position": 17}, {"identifier": "E04", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "D02", "position": [1, 5], "step": 18, "ordinal_position": 19}, {"identifier": "S13", "position": [2, 5], "step": 19, "ordinal_position": 20}, {"identifier": "W92", "position": [3, 5], "step": 20, "ordinal_position": 21}, {"identifier": "Z02", "position": [4, 5], "step": 21, "ordinal_position": 22}, {"identifier": "N52", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "C55", "position": [5, 4], "step": 23, "ordinal_position": 24}, {"identifier": "E12", "position": [5, 3], "step": 24, "ordinal_position": 25}, {"identifier": "T53", "position": [5, 2], "step": 25, "ordinal_position": 26}, {"identifier": "I37", "position": [5, 1], "step": 26, "ordinal_position": 27}, {"identifier": "R78", "position": [4, 1], "step": 27, "ordinal_position": 28}, {"identifier": "O49", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "K66", "position": [2, 1], "step": 29, "ordinal_position": 30}, {"identifier": "T33", "position": [1, 1], "step": 30, "ordinal_position": 31}, {"identifier": "M95", "position": [1, 2], "step": 31, "ordinal_position": 32}, {"identifier": "V35", "position": [1, 3], "step": 32, "ordinal_position": 33}, {"identifier": "E04", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "D02", "position": [1, 5], "step": 34, "ordinal_position": 35}, {"identifier": "S13", "position": [2, 5], "step": 35, "ordinal_position": 36}, {"identifier": "W92", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "Z02", "position": [4, 5], "step": 37, "ordinal_position": 38}, {"identifier": "N52", "position": [5, 5], "step": 38, "ordinal_position": 39}, {"identifier": "C55", "position": [5, 4], "step": 39, "ordinal_position": 40}, {"identifier": "E12", "position": [5, 3], "step": 40, "ordinal_position": 41}, {"identifier": "T53", "position": [5, 2], "step": 41, "ordinal_position": 42}, {"identifier": "I37", "position": [5, 1], "step": 42, "ordinal_position": 43}, {"identifier": "R78", "position": [4, 1], "step": 43, "ordinal_position": 44}, {"identifier": "O49", "position": [3, 1], "step": 44, "ordinal_position": 45}, {"identifier": "K66", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "T33", "position": [1, 1], "step": 46, "ordinal_position": 47}, {"identifier": "M95", "position": [1, 2], "step": 47, "ordinal_position": 48}, {"identifier": "V35", "position": [1, 3], "step": 48, "ordinal_position": 49}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 49, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_000.json"}} {"qa_id": "41ae13e9614a4a9c8daf9927b30ebf29", "image_id": "L3-MazeLoop-test_7x7_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K66, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 288th position in this traversal?", "start_object_id": "K66", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [288], "ordinal_strings": ["288th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "O49", "traversal_path": [{"identifier": "K66", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "T33", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "M95", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "V35", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "E04", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "D02", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "S13", "position": [2, 5], "step": 6, "ordinal_position": 7}, {"identifier": "W92", "position": [3, 5], "step": 7, "ordinal_position": 8}, {"identifier": "Z02", "position": [4, 5], "step": 8, "ordinal_position": 9}, {"identifier": "N52", "position": [5, 5], "step": 9, "ordinal_position": 10}, {"identifier": "C55", "position": [5, 4], "step": 10, "ordinal_position": 11}, {"identifier": "E12", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "T53", "position": [5, 2], "step": 12, "ordinal_position": 13}, {"identifier": "I37", "position": [5, 1], "step": 13, "ordinal_position": 14}, {"identifier": "R78", "position": [4, 1], "step": 14, "ordinal_position": 15}, {"identifier": "O49", "position": [3, 1], "step": 15, "ordinal_position": 16}, {"identifier": "K66", "position": [2, 1], "step": 16, "ordinal_position": 17}, {"identifier": "T33", "position": [1, 1], "step": 17, "ordinal_position": 18}, {"identifier": "M95", "position": [1, 2], "step": 18, "ordinal_position": 19}, {"identifier": "V35", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "E04", "position": [1, 4], "step": 20, "ordinal_position": 21}, {"identifier": "D02", "position": [1, 5], "step": 21, "ordinal_position": 22}, {"identifier": "S13", "position": [2, 5], "step": 22, "ordinal_position": 23}, {"identifier": "W92", "position": [3, 5], "step": 23, "ordinal_position": 24}, {"identifier": "Z02", "position": [4, 5], "step": 24, "ordinal_position": 25}, {"identifier": "N52", "position": [5, 5], "step": 25, "ordinal_position": 26}, {"identifier": "C55", "position": [5, 4], "step": 26, "ordinal_position": 27}, {"identifier": "E12", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "T53", "position": [5, 2], "step": 28, "ordinal_position": 29}, {"identifier": "I37", "position": [5, 1], "step": 29, "ordinal_position": 30}, {"identifier": "R78", "position": [4, 1], "step": 30, "ordinal_position": 31}, {"identifier": "O49", "position": [3, 1], "step": 31, "ordinal_position": 32}, {"identifier": "K66", "position": [2, 1], "step": 32, "ordinal_position": 33}, {"identifier": "T33", "position": [1, 1], "step": 33, "ordinal_position": 34}, {"identifier": "M95", "position": [1, 2], "step": 34, "ordinal_position": 35}, {"identifier": "V35", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "E04", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "D02", "position": [1, 5], "step": 37, "ordinal_position": 38}, {"identifier": "S13", "position": [2, 5], "step": 38, "ordinal_position": 39}, {"identifier": "W92", "position": [3, 5], "step": 39, "ordinal_position": 40}, {"identifier": "Z02", "position": [4, 5], "step": 40, "ordinal_position": 41}, {"identifier": "N52", "position": [5, 5], "step": 41, "ordinal_position": 42}, {"identifier": "C55", "position": [5, 4], "step": 42, "ordinal_position": 43}, {"identifier": "E12", "position": [5, 3], "step": 43, "ordinal_position": 44}, {"identifier": "T53", "position": [5, 2], "step": 44, "ordinal_position": 45}, {"identifier": "I37", "position": [5, 1], "step": 45, "ordinal_position": 46}, {"identifier": "R78", "position": [4, 1], "step": 46, "ordinal_position": 47}, {"identifier": "O49", "position": [3, 1], "step": 47, "ordinal_position": 48}, {"identifier": "K66", "position": [2, 1], "step": 48, "ordinal_position": 49}, {"identifier": "T33", "position": [1, 1], "step": 49, "ordinal_position": 50}, {"identifier": "M95", "position": [1, 2], "step": 50, "ordinal_position": 51}, {"identifier": "V35", "position": [1, 3], "step": 51, "ordinal_position": 52}, {"identifier": "E04", "position": [1, 4], "step": 52, "ordinal_position": 53}, {"identifier": "D02", "position": [1, 5], "step": 53, "ordinal_position": 54}, {"identifier": "S13", "position": [2, 5], "step": 54, "ordinal_position": 55}, {"identifier": "W92", "position": [3, 5], "step": 55, "ordinal_position": 56}, {"identifier": "Z02", "position": [4, 5], "step": 56, "ordinal_position": 57}, {"identifier": "N52", "position": [5, 5], "step": 57, "ordinal_position": 58}, {"identifier": "C55", "position": [5, 4], "step": 58, "ordinal_position": 59}, {"identifier": "E12", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "T53", "position": [5, 2], "step": 60, "ordinal_position": 61}, {"identifier": "I37", "position": [5, 1], "step": 61, "ordinal_position": 62}, {"identifier": "R78", "position": [4, 1], "step": 62, "ordinal_position": 63}, {"identifier": "O49", "position": [3, 1], "step": 63, "ordinal_position": 64}, {"identifier": "K66", "position": [2, 1], "step": 64, "ordinal_position": 65}, {"identifier": "T33", "position": [1, 1], "step": 65, "ordinal_position": 66}, {"identifier": "M95", "position": [1, 2], "step": 66, "ordinal_position": 67}, {"identifier": "V35", "position": [1, 3], "step": 67, "ordinal_position": 68}, {"identifier": "E04", "position": [1, 4], "step": 68, "ordinal_position": 69}, {"identifier": "D02", "position": [1, 5], "step": 69, "ordinal_position": 70}, {"identifier": "S13", "position": [2, 5], "step": 70, "ordinal_position": 71}, {"identifier": "W92", "position": [3, 5], "step": 71, "ordinal_position": 72}, {"identifier": "Z02", "position": [4, 5], "step": 72, "ordinal_position": 73}, {"identifier": "N52", "position": [5, 5], "step": 73, "ordinal_position": 74}, {"identifier": "C55", "position": [5, 4], "step": 74, "ordinal_position": 75}, {"identifier": "E12", "position": [5, 3], "step": 75, "ordinal_position": 76}, {"identifier": "T53", "position": [5, 2], "step": 76, "ordinal_position": 77}, {"identifier": "I37", "position": [5, 1], "step": 77, "ordinal_position": 78}, {"identifier": "R78", "position": [4, 1], "step": 78, "ordinal_position": 79}, {"identifier": "O49", "position": [3, 1], "step": 79, "ordinal_position": 80}, {"identifier": "K66", "position": [2, 1], "step": 80, "ordinal_position": 81}, {"identifier": "T33", "position": [1, 1], "step": 81, "ordinal_position": 82}, {"identifier": "M95", "position": [1, 2], "step": 82, "ordinal_position": 83}, {"identifier": "V35", "position": [1, 3], "step": 83, "ordinal_position": 84}, {"identifier": "E04", "position": [1, 4], "step": 84, "ordinal_position": 85}, {"identifier": "D02", "position": [1, 5], "step": 85, "ordinal_position": 86}, {"identifier": "S13", "position": [2, 5], "step": 86, "ordinal_position": 87}, {"identifier": "W92", "position": [3, 5], "step": 87, "ordinal_position": 88}, {"identifier": "Z02", "position": [4, 5], "step": 88, "ordinal_position": 89}, {"identifier": "N52", "position": [5, 5], "step": 89, "ordinal_position": 90}, {"identifier": "C55", "position": [5, 4], "step": 90, "ordinal_position": 91}, {"identifier": "E12", "position": [5, 3], "step": 91, "ordinal_position": 92}, {"identifier": "T53", "position": [5, 2], "step": 92, "ordinal_position": 93}, {"identifier": "I37", "position": [5, 1], "step": 93, "ordinal_position": 94}, {"identifier": "R78", "position": [4, 1], "step": 94, "ordinal_position": 95}, {"identifier": "O49", "position": [3, 1], "step": 95, "ordinal_position": 96}, {"identifier": "K66", "position": [2, 1], "step": 96, "ordinal_position": 97}, {"identifier": "T33", "position": [1, 1], "step": 97, "ordinal_position": 98}, {"identifier": "M95", "position": [1, 2], "step": 98, "ordinal_position": 99}, {"identifier": "V35", "position": [1, 3], "step": 99, "ordinal_position": 100}, {"identifier": "E04", "position": [1, 4], "step": 100, "ordinal_position": 101}, {"identifier": "D02", "position": [1, 5], "step": 101, "ordinal_position": 102}, {"identifier": "S13", "position": [2, 5], "step": 102, "ordinal_position": 103}, {"identifier": "W92", "position": [3, 5], "step": 103, "ordinal_position": 104}, {"identifier": "Z02", "position": [4, 5], "step": 104, "ordinal_position": 105}, {"identifier": "N52", "position": [5, 5], "step": 105, "ordinal_position": 106}, {"identifier": "C55", "position": [5, 4], "step": 106, "ordinal_position": 107}, {"identifier": "E12", "position": [5, 3], "step": 107, "ordinal_position": 108}, {"identifier": "T53", "position": [5, 2], "step": 108, "ordinal_position": 109}, {"identifier": "I37", "position": [5, 1], "step": 109, "ordinal_position": 110}, {"identifier": "R78", "position": [4, 1], "step": 110, "ordinal_position": 111}, {"identifier": "O49", "position": [3, 1], "step": 111, "ordinal_position": 112}, {"identifier": "K66", "position": [2, 1], "step": 112, "ordinal_position": 113}, {"identifier": "T33", "position": [1, 1], "step": 113, "ordinal_position": 114}, {"identifier": "M95", "position": [1, 2], "step": 114, "ordinal_position": 115}, {"identifier": "V35", "position": [1, 3], "step": 115, "ordinal_position": 116}, {"identifier": "E04", "position": [1, 4], "step": 116, "ordinal_position": 117}, {"identifier": "D02", "position": [1, 5], "step": 117, "ordinal_position": 118}, {"identifier": "S13", "position": [2, 5], "step": 118, "ordinal_position": 119}, {"identifier": "W92", "position": [3, 5], "step": 119, "ordinal_position": 120}, {"identifier": "Z02", "position": [4, 5], "step": 120, "ordinal_position": 121}, {"identifier": "N52", "position": [5, 5], "step": 121, "ordinal_position": 122}, {"identifier": "C55", "position": [5, 4], "step": 122, "ordinal_position": 123}, {"identifier": "E12", "position": [5, 3], "step": 123, "ordinal_position": 124}, {"identifier": "T53", "position": [5, 2], "step": 124, "ordinal_position": 125}, {"identifier": "I37", "position": [5, 1], "step": 125, "ordinal_position": 126}, {"identifier": "R78", "position": [4, 1], "step": 126, "ordinal_position": 127}, {"identifier": "O49", "position": [3, 1], "step": 127, "ordinal_position": 128}, {"identifier": "K66", "position": [2, 1], "step": 128, "ordinal_position": 129}, {"identifier": "T33", "position": [1, 1], "step": 129, "ordinal_position": 130}, {"identifier": "M95", "position": [1, 2], "step": 130, "ordinal_position": 131}, {"identifier": "V35", 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230}, {"identifier": "S13", "position": [2, 5], "step": 230, "ordinal_position": 231}, {"identifier": "W92", "position": [3, 5], "step": 231, "ordinal_position": 232}, {"identifier": "Z02", "position": [4, 5], "step": 232, "ordinal_position": 233}, {"identifier": "N52", "position": [5, 5], "step": 233, "ordinal_position": 234}, {"identifier": "C55", "position": [5, 4], "step": 234, "ordinal_position": 235}, {"identifier": "E12", "position": [5, 3], "step": 235, "ordinal_position": 236}, {"identifier": "T53", "position": [5, 2], "step": 236, "ordinal_position": 237}, {"identifier": "I37", "position": [5, 1], "step": 237, "ordinal_position": 238}, {"identifier": "R78", "position": [4, 1], "step": 238, "ordinal_position": 239}, {"identifier": "O49", "position": [3, 1], "step": 239, "ordinal_position": 240}, {"identifier": "K66", "position": [2, 1], "step": 240, "ordinal_position": 241}, {"identifier": "T33", "position": [1, 1], "step": 241, "ordinal_position": 242}, {"identifier": "M95", "position": [1, 2], "step": 242, "ordinal_position": 243}, {"identifier": "V35", "position": [1, 3], "step": 243, "ordinal_position": 244}, {"identifier": "E04", "position": [1, 4], "step": 244, "ordinal_position": 245}, {"identifier": "D02", "position": [1, 5], "step": 245, "ordinal_position": 246}, {"identifier": "S13", "position": [2, 5], "step": 246, "ordinal_position": 247}, {"identifier": "W92", "position": [3, 5], "step": 247, "ordinal_position": 248}, {"identifier": "Z02", "position": [4, 5], "step": 248, "ordinal_position": 249}, {"identifier": "N52", "position": [5, 5], "step": 249, "ordinal_position": 250}, {"identifier": "C55", "position": [5, 4], "step": 250, "ordinal_position": 251}, {"identifier": "E12", "position": [5, 3], "step": 251, "ordinal_position": 252}, {"identifier": "T53", "position": [5, 2], "step": 252, "ordinal_position": 253}, {"identifier": "I37", "position": [5, 1], "step": 253, "ordinal_position": 254}, {"identifier": "R78", "position": [4, 1], "step": 254, "ordinal_position": 255}, {"identifier": "O49", "position": [3, 1], "step": 255, "ordinal_position": 256}, {"identifier": "K66", "position": [2, 1], "step": 256, "ordinal_position": 257}, {"identifier": "T33", "position": [1, 1], "step": 257, "ordinal_position": 258}, {"identifier": "M95", "position": [1, 2], "step": 258, "ordinal_position": 259}, {"identifier": "V35", "position": [1, 3], "step": 259, "ordinal_position": 260}, {"identifier": "E04", "position": [1, 4], "step": 260, "ordinal_position": 261}, {"identifier": "D02", "position": [1, 5], "step": 261, "ordinal_position": 262}, {"identifier": "S13", "position": [2, 5], "step": 262, "ordinal_position": 263}, {"identifier": "W92", "position": [3, 5], "step": 263, "ordinal_position": 264}, {"identifier": "Z02", "position": [4, 5], "step": 264, "ordinal_position": 265}, {"identifier": "N52", "position": [5, 5], "step": 265, "ordinal_position": 266}, {"identifier": "C55", "position": [5, 4], "step": 266, "ordinal_position": 267}, {"identifier": "E12", "position": [5, 3], "step": 267, "ordinal_position": 268}, {"identifier": "T53", "position": [5, 2], "step": 268, "ordinal_position": 269}, {"identifier": "I37", "position": [5, 1], "step": 269, "ordinal_position": 270}, {"identifier": "R78", "position": [4, 1], "step": 270, "ordinal_position": 271}, {"identifier": "O49", "position": [3, 1], "step": 271, "ordinal_position": 272}, {"identifier": "K66", "position": [2, 1], "step": 272, "ordinal_position": 273}, {"identifier": "T33", "position": [1, 1], "step": 273, "ordinal_position": 274}, {"identifier": "M95", "position": [1, 2], "step": 274, "ordinal_position": 275}, {"identifier": "V35", "position": [1, 3], "step": 275, "ordinal_position": 276}, {"identifier": "E04", "position": [1, 4], "step": 276, "ordinal_position": 277}, {"identifier": "D02", "position": [1, 5], "step": 277, "ordinal_position": 278}, {"identifier": "S13", "position": [2, 5], "step": 278, "ordinal_position": 279}, {"identifier": "W92", "position": [3, 5], "step": 279, "ordinal_position": 280}, {"identifier": "Z02", "position": [4, 5], "step": 280, "ordinal_position": 281}, {"identifier": "N52", "position": [5, 5], "step": 281, "ordinal_position": 282}, {"identifier": "C55", "position": [5, 4], "step": 282, "ordinal_position": 283}, {"identifier": "E12", "position": [5, 3], "step": 283, "ordinal_position": 284}, {"identifier": "T53", "position": [5, 2], "step": 284, "ordinal_position": 285}, {"identifier": "I37", "position": [5, 1], "step": 285, "ordinal_position": 286}, {"identifier": "R78", "position": [4, 1], "step": 286, "ordinal_position": 287}, {"identifier": "O49", "position": [3, 1], "step": 287, "ordinal_position": 288}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 288, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_000.json"}} {"qa_id": "b5a007126e0c4e548ed3406645da3606", "image_id": "L3-MazeLoop-test_7x7_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M70, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 260th position in this traversal?", "start_object_id": "M70", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [260], "ordinal_strings": ["260th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Z02", "traversal_path": [{"identifier": "M70", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "W47", "position": [3, 4], "step": 1, "ordinal_position": 2}, {"identifier": "W92", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "Z02", "position": [4, 5], "step": 3, "ordinal_position": 4}, {"identifier": "N52", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "C55", "position": [5, 4], "step": 5, "ordinal_position": 6}, {"identifier": "E12", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "T53", "position": [5, 2], "step": 7, "ordinal_position": 8}, {"identifier": "I37", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "R78", "position": [4, 1], "step": 9, "ordinal_position": 10}, {"identifier": "O49", "position": [3, 1], "step": 10, "ordinal_position": 11}, {"identifier": "K66", "position": [2, 1], "step": 11, "ordinal_position": 12}, {"identifier": "T33", "position": [1, 1], "step": 12, "ordinal_position": 13}, {"identifier": "M95", "position": [1, 2], "step": 13, "ordinal_position": 14}, {"identifier": "V35", "position": [1, 3], "step": 14, "ordinal_position": 15}, {"identifier": "E04", "position": [1, 4], "step": 15, "ordinal_position": 16}, {"identifier": "D02", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "S13", "position": [2, 5], "step": 17, "ordinal_position": 18}, {"identifier": "W92", "position": [3, 5], "step": 18, "ordinal_position": 19}, {"identifier": "Z02", "position": [4, 5], "step": 19, "ordinal_position": 20}, {"identifier": "N52", "position": [5, 5], "step": 20, "ordinal_position": 21}, {"identifier": "C55", "position": [5, 4], "step": 21, "ordinal_position": 22}, {"identifier": "E12", "position": [5, 3], "step": 22, "ordinal_position": 23}, {"identifier": "T53", "position": [5, 2], "step": 23, "ordinal_position": 24}, {"identifier": "I37", "position": [5, 1], "step": 24, "ordinal_position": 25}, {"identifier": "R78", "position": [4, 1], "step": 25, "ordinal_position": 26}, {"identifier": "O49", "position": [3, 1], "step": 26, "ordinal_position": 27}, {"identifier": "K66", "position": [2, 1], "step": 27, "ordinal_position": 28}, {"identifier": "T33", "position": [1, 1], "step": 28, "ordinal_position": 29}, {"identifier": "M95", "position": [1, 2], "step": 29, "ordinal_position": 30}, {"identifier": "V35", "position": [1, 3], "step": 30, "ordinal_position": 31}, {"identifier": "E04", "position": [1, 4], "step": 31, "ordinal_position": 32}, {"identifier": "D02", "position": [1, 5], "step": 32, "ordinal_position": 33}, {"identifier": "S13", "position": [2, 5], "step": 33, "ordinal_position": 34}, {"identifier": "W92", "position": [3, 5], "step": 34, "ordinal_position": 35}, {"identifier": "Z02", "position": [4, 5], "step": 35, "ordinal_position": 36}, {"identifier": "N52", "position": [5, 5], "step": 36, "ordinal_position": 37}, {"identifier": "C55", "position": [5, 4], "step": 37, "ordinal_position": 38}, {"identifier": "E12", "position": [5, 3], "step": 38, "ordinal_position": 39}, {"identifier": "T53", "position": [5, 2], "step": 39, "ordinal_position": 40}, {"identifier": "I37", "position": [5, 1], "step": 40, "ordinal_position": 41}, {"identifier": "R78", "position": [4, 1], "step": 41, "ordinal_position": 42}, {"identifier": "O49", "position": [3, 1], "step": 42, "ordinal_position": 43}, {"identifier": "K66", "position": [2, 1], "step": 43, "ordinal_position": 44}, {"identifier": "T33", "position": [1, 1], "step": 44, "ordinal_position": 45}, {"identifier": "M95", "position": [1, 2], "step": 45, "ordinal_position": 46}, {"identifier": "V35", "position": [1, 3], "step": 46, "ordinal_position": 47}, {"identifier": "E04", "position": [1, 4], "step": 47, "ordinal_position": 48}, {"identifier": "D02", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "S13", "position": [2, 5], "step": 49, "ordinal_position": 50}, {"identifier": "W92", "position": [3, 5], "step": 50, "ordinal_position": 51}, {"identifier": "Z02", "position": [4, 5], "step": 51, "ordinal_position": 52}, {"identifier": "N52", "position": [5, 5], "step": 52, "ordinal_position": 53}, {"identifier": "C55", "position": [5, 4], "step": 53, "ordinal_position": 54}, {"identifier": "E12", "position": [5, 3], "step": 54, "ordinal_position": 55}, {"identifier": "T53", "position": [5, 2], "step": 55, "ordinal_position": 56}, {"identifier": "I37", "position": [5, 1], "step": 56, "ordinal_position": 57}, {"identifier": "R78", "position": [4, 1], "step": 57, "ordinal_position": 58}, {"identifier": "O49", "position": [3, 1], "step": 58, "ordinal_position": 59}, {"identifier": "K66", "position": [2, 1], "step": 59, "ordinal_position": 60}, {"identifier": "T33", "position": [1, 1], "step": 60, "ordinal_position": 61}, {"identifier": "M95", "position": [1, 2], "step": 61, "ordinal_position": 62}, {"identifier": "V35", "position": [1, 3], "step": 62, "ordinal_position": 63}, {"identifier": "E04", "position": [1, 4], "step": 63, "ordinal_position": 64}, {"identifier": "D02", "position": [1, 5], "step": 64, "ordinal_position": 65}, {"identifier": "S13", "position": [2, 5], "step": 65, "ordinal_position": 66}, {"identifier": "W92", "position": [3, 5], "step": 66, "ordinal_position": 67}, {"identifier": "Z02", "position": [4, 5], "step": 67, "ordinal_position": 68}, {"identifier": "N52", "position": [5, 5], "step": 68, "ordinal_position": 69}, {"identifier": "C55", "position": [5, 4], "step": 69, "ordinal_position": 70}, {"identifier": "E12", "position": [5, 3], "step": 70, "ordinal_position": 71}, {"identifier": "T53", "position": [5, 2], "step": 71, "ordinal_position": 72}, {"identifier": "I37", "position": [5, 1], "step": 72, "ordinal_position": 73}, {"identifier": 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"ordinal_position": 86}, {"identifier": "E12", "position": [5, 3], "step": 86, "ordinal_position": 87}, {"identifier": "T53", "position": [5, 2], "step": 87, "ordinal_position": 88}, {"identifier": "I37", "position": [5, 1], "step": 88, "ordinal_position": 89}, {"identifier": "R78", "position": [4, 1], "step": 89, "ordinal_position": 90}, {"identifier": "O49", "position": [3, 1], "step": 90, "ordinal_position": 91}, {"identifier": "K66", "position": [2, 1], "step": 91, "ordinal_position": 92}, {"identifier": "T33", "position": [1, 1], "step": 92, "ordinal_position": 93}, {"identifier": "M95", "position": [1, 2], "step": 93, "ordinal_position": 94}, {"identifier": "V35", "position": [1, 3], "step": 94, "ordinal_position": 95}, {"identifier": "E04", "position": [1, 4], "step": 95, "ordinal_position": 96}, {"identifier": "D02", "position": [1, 5], "step": 96, "ordinal_position": 97}, {"identifier": "S13", "position": [2, 5], "step": 97, "ordinal_position": 98}, {"identifier": "W92", 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"position": [5, 2], "step": 135, "ordinal_position": 136}, {"identifier": "I37", "position": [5, 1], "step": 136, "ordinal_position": 137}, {"identifier": "R78", "position": [4, 1], "step": 137, "ordinal_position": 138}, {"identifier": "O49", "position": [3, 1], "step": 138, "ordinal_position": 139}, {"identifier": "K66", "position": [2, 1], "step": 139, "ordinal_position": 140}, {"identifier": "T33", "position": [1, 1], "step": 140, "ordinal_position": 141}, {"identifier": "M95", "position": [1, 2], "step": 141, "ordinal_position": 142}, {"identifier": "V35", "position": [1, 3], "step": 142, "ordinal_position": 143}, {"identifier": "E04", "position": [1, 4], "step": 143, "ordinal_position": 144}, {"identifier": "D02", "position": [1, 5], "step": 144, "ordinal_position": 145}, {"identifier": "S13", "position": [2, 5], "step": 145, "ordinal_position": 146}, {"identifier": "W92", "position": [3, 5], "step": 146, "ordinal_position": 147}, {"identifier": "Z02", "position": [4, 5], "step": 147, "ordinal_position": 148}, {"identifier": "N52", "position": [5, 5], "step": 148, "ordinal_position": 149}, {"identifier": "C55", "position": [5, 4], "step": 149, "ordinal_position": 150}, {"identifier": "E12", "position": [5, 3], "step": 150, "ordinal_position": 151}, {"identifier": "T53", "position": [5, 2], "step": 151, "ordinal_position": 152}, {"identifier": "I37", "position": [5, 1], "step": 152, "ordinal_position": 153}, {"identifier": "R78", "position": [4, 1], "step": 153, "ordinal_position": 154}, {"identifier": "O49", "position": [3, 1], "step": 154, "ordinal_position": 155}, {"identifier": "K66", "position": [2, 1], "step": 155, "ordinal_position": 156}, {"identifier": "T33", "position": [1, 1], "step": 156, "ordinal_position": 157}, {"identifier": "M95", "position": [1, 2], "step": 157, "ordinal_position": 158}, {"identifier": "V35", "position": [1, 3], "step": 158, "ordinal_position": 159}, {"identifier": "E04", "position": [1, 4], "step": 159, "ordinal_position": 160}, {"identifier": "D02", "position": [1, 5], "step": 160, "ordinal_position": 161}, {"identifier": "S13", "position": [2, 5], "step": 161, "ordinal_position": 162}, {"identifier": "W92", "position": [3, 5], "step": 162, "ordinal_position": 163}, {"identifier": "Z02", "position": [4, 5], "step": 163, "ordinal_position": 164}, {"identifier": "N52", "position": [5, 5], "step": 164, "ordinal_position": 165}, {"identifier": "C55", "position": [5, 4], "step": 165, "ordinal_position": 166}, {"identifier": "E12", "position": [5, 3], "step": 166, "ordinal_position": 167}, {"identifier": "T53", "position": [5, 2], "step": 167, "ordinal_position": 168}, {"identifier": "I37", "position": [5, 1], "step": 168, "ordinal_position": 169}, {"identifier": "R78", "position": [4, 1], "step": 169, "ordinal_position": 170}, {"identifier": "O49", "position": [3, 1], "step": 170, "ordinal_position": 171}, {"identifier": "K66", "position": [2, 1], "step": 171, "ordinal_position": 172}, {"identifier": "T33", "position": [1, 1], "step": 172, "ordinal_position": 173}, {"identifier": "M95", "position": [1, 2], "step": 173, "ordinal_position": 174}, {"identifier": "V35", "position": [1, 3], "step": 174, "ordinal_position": 175}, {"identifier": "E04", "position": [1, 4], "step": 175, "ordinal_position": 176}, {"identifier": "D02", "position": [1, 5], "step": 176, "ordinal_position": 177}, {"identifier": "S13", "position": [2, 5], "step": 177, "ordinal_position": 178}, {"identifier": "W92", "position": [3, 5], "step": 178, "ordinal_position": 179}, {"identifier": "Z02", "position": [4, 5], "step": 179, "ordinal_position": 180}, {"identifier": "N52", "position": [5, 5], "step": 180, "ordinal_position": 181}, {"identifier": "C55", "position": [5, 4], "step": 181, "ordinal_position": 182}, {"identifier": "E12", "position": [5, 3], "step": 182, "ordinal_position": 183}, {"identifier": "T53", "position": [5, 2], "step": 183, "ordinal_position": 184}, {"identifier": "I37", "position": [5, 1], "step": 184, "ordinal_position": 185}, {"identifier": "R78", "position": [4, 1], "step": 185, "ordinal_position": 186}, {"identifier": "O49", "position": [3, 1], "step": 186, "ordinal_position": 187}, {"identifier": "K66", "position": [2, 1], "step": 187, "ordinal_position": 188}, {"identifier": "T33", "position": [1, 1], "step": 188, "ordinal_position": 189}, {"identifier": "M95", "position": [1, 2], "step": 189, "ordinal_position": 190}, {"identifier": "V35", "position": [1, 3], "step": 190, "ordinal_position": 191}, {"identifier": "E04", "position": [1, 4], "step": 191, "ordinal_position": 192}, {"identifier": "D02", "position": [1, 5], "step": 192, "ordinal_position": 193}, {"identifier": "S13", "position": [2, 5], "step": 193, "ordinal_position": 194}, {"identifier": "W92", "position": [3, 5], "step": 194, "ordinal_position": 195}, {"identifier": "Z02", "position": [4, 5], "step": 195, "ordinal_position": 196}, {"identifier": "N52", "position": [5, 5], "step": 196, "ordinal_position": 197}, {"identifier": "C55", "position": [5, 4], "step": 197, "ordinal_position": 198}, {"identifier": "E12", "position": [5, 3], "step": 198, "ordinal_position": 199}, {"identifier": "T53", "position": [5, 2], "step": 199, "ordinal_position": 200}, {"identifier": "I37", "position": [5, 1], "step": 200, "ordinal_position": 201}, {"identifier": "R78", "position": [4, 1], "step": 201, "ordinal_position": 202}, {"identifier": "O49", "position": [3, 1], "step": 202, "ordinal_position": 203}, {"identifier": "K66", "position": [2, 1], "step": 203, "ordinal_position": 204}, {"identifier": "T33", "position": [1, 1], "step": 204, "ordinal_position": 205}, {"identifier": "M95", "position": [1, 2], "step": 205, "ordinal_position": 206}, {"identifier": "V35", "position": [1, 3], "step": 206, "ordinal_position": 207}, {"identifier": "E04", "position": [1, 4], "step": 207, "ordinal_position": 208}, {"identifier": "D02", "position": [1, 5], "step": 208, "ordinal_position": 209}, {"identifier": "S13", "position": [2, 5], "step": 209, "ordinal_position": 210}, {"identifier": "W92", "position": [3, 5], "step": 210, "ordinal_position": 211}, {"identifier": "Z02", "position": [4, 5], "step": 211, "ordinal_position": 212}, {"identifier": "N52", "position": [5, 5], "step": 212, "ordinal_position": 213}, {"identifier": "C55", "position": [5, 4], "step": 213, "ordinal_position": 214}, {"identifier": "E12", "position": [5, 3], "step": 214, "ordinal_position": 215}, {"identifier": "T53", "position": [5, 2], "step": 215, "ordinal_position": 216}, {"identifier": "I37", "position": [5, 1], "step": 216, "ordinal_position": 217}, {"identifier": "R78", "position": [4, 1], "step": 217, "ordinal_position": 218}, {"identifier": "O49", "position": [3, 1], "step": 218, "ordinal_position": 219}, {"identifier": "K66", "position": [2, 1], "step": 219, "ordinal_position": 220}, {"identifier": "T33", "position": [1, 1], "step": 220, "ordinal_position": 221}, {"identifier": "M95", "position": [1, 2], "step": 221, "ordinal_position": 222}, {"identifier": "V35", "position": [1, 3], "step": 222, "ordinal_position": 223}, {"identifier": "E04", "position": [1, 4], "step": 223, "ordinal_position": 224}, {"identifier": "D02", "position": [1, 5], "step": 224, "ordinal_position": 225}, {"identifier": "S13", "position": [2, 5], "step": 225, "ordinal_position": 226}, {"identifier": "W92", "position": [3, 5], "step": 226, "ordinal_position": 227}, {"identifier": "Z02", "position": [4, 5], "step": 227, "ordinal_position": 228}, {"identifier": "N52", "position": [5, 5], "step": 228, "ordinal_position": 229}, {"identifier": "C55", "position": [5, 4], "step": 229, "ordinal_position": 230}, {"identifier": "E12", "position": [5, 3], "step": 230, "ordinal_position": 231}, {"identifier": "T53", "position": [5, 2], "step": 231, "ordinal_position": 232}, {"identifier": "I37", "position": [5, 1], "step": 232, "ordinal_position": 233}, {"identifier": "R78", "position": [4, 1], "step": 233, "ordinal_position": 234}, {"identifier": "O49", "position": [3, 1], "step": 234, "ordinal_position": 235}, {"identifier": "K66", "position": [2, 1], "step": 235, "ordinal_position": 236}, {"identifier": "T33", "position": [1, 1], "step": 236, "ordinal_position": 237}, {"identifier": "M95", "position": [1, 2], "step": 237, "ordinal_position": 238}, {"identifier": "V35", "position": [1, 3], "step": 238, "ordinal_position": 239}, {"identifier": "E04", "position": [1, 4], "step": 239, "ordinal_position": 240}, {"identifier": "D02", "position": [1, 5], "step": 240, "ordinal_position": 241}, {"identifier": "S13", "position": [2, 5], "step": 241, "ordinal_position": 242}, {"identifier": "W92", "position": [3, 5], "step": 242, "ordinal_position": 243}, {"identifier": "Z02", "position": [4, 5], "step": 243, "ordinal_position": 244}, {"identifier": "N52", "position": [5, 5], "step": 244, "ordinal_position": 245}, {"identifier": "C55", "position": [5, 4], "step": 245, "ordinal_position": 246}, {"identifier": "E12", "position": [5, 3], "step": 246, "ordinal_position": 247}, {"identifier": "T53", "position": [5, 2], "step": 247, "ordinal_position": 248}, {"identifier": "I37", "position": [5, 1], "step": 248, "ordinal_position": 249}, {"identifier": "R78", "position": [4, 1], "step": 249, "ordinal_position": 250}, {"identifier": "O49", "position": [3, 1], "step": 250, "ordinal_position": 251}, {"identifier": "K66", "position": [2, 1], "step": 251, "ordinal_position": 252}, {"identifier": "T33", "position": [1, 1], "step": 252, "ordinal_position": 253}, {"identifier": "M95", "position": [1, 2], "step": 253, "ordinal_position": 254}, {"identifier": "V35", "position": [1, 3], "step": 254, "ordinal_position": 255}, {"identifier": "E04", "position": [1, 4], "step": 255, "ordinal_position": 256}, {"identifier": "D02", "position": [1, 5], "step": 256, "ordinal_position": 257}, {"identifier": "S13", "position": [2, 5], "step": 257, "ordinal_position": 258}, {"identifier": "W92", "position": [3, 5], "step": 258, "ordinal_position": 259}, {"identifier": "Z02", "position": [4, 5], "step": 259, "ordinal_position": 260}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 260, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_000.json"}} {"qa_id": "ee385b4f0c154a5c90249eaba6b6bf57", "image_id": "L3-MazeLoop-test_7x7_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N52, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 269th position in this traversal?", "start_object_id": "N52", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [269], "ordinal_strings": ["269th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "D02", "traversal_path": [{"identifier": "N52", "position": [5, 5], "step": 0, "ordinal_position": 1}, {"identifier": "C55", "position": [5, 4], "step": 1, "ordinal_position": 2}, {"identifier": "E12", "position": [5, 3], "step": 2, "ordinal_position": 3}, {"identifier": "T53", "position": [5, 2], "step": 3, "ordinal_position": 4}, {"identifier": "I37", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "R78", "position": [4, 1], "step": 5, "ordinal_position": 6}, {"identifier": "O49", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "K66", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "T33", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "M95", "position": [1, 2], "step": 9, "ordinal_position": 10}, {"identifier": "V35", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "E04", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "D02", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "S13", "position": [2, 5], "step": 13, "ordinal_position": 14}, {"identifier": "W92", "position": [3, 5], "step": 14, "ordinal_position": 15}, {"identifier": "Z02", "position": [4, 5], "step": 15, "ordinal_position": 16}, {"identifier": "N52", "position": [5, 5], "step": 16, "ordinal_position": 17}, {"identifier": "C55", "position": [5, 4], "step": 17, "ordinal_position": 18}, {"identifier": "E12", "position": [5, 3], "step": 18, "ordinal_position": 19}, {"identifier": "T53", "position": [5, 2], "step": 19, "ordinal_position": 20}, {"identifier": "I37", "position": [5, 1], "step": 20, "ordinal_position": 21}, {"identifier": "R78", "position": [4, 1], "step": 21, "ordinal_position": 22}, {"identifier": "O49", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "K66", "position": [2, 1], "step": 23, "ordinal_position": 24}, {"identifier": "T33", "position": [1, 1], "step": 24, "ordinal_position": 25}, {"identifier": "M95", "position": [1, 2], "step": 25, "ordinal_position": 26}, {"identifier": "V35", "position": [1, 3], "step": 26, "ordinal_position": 27}, {"identifier": "E04", "position": [1, 4], "step": 27, "ordinal_position": 28}, {"identifier": "D02", "position": [1, 5], "step": 28, "ordinal_position": 29}, {"identifier": "S13", "position": [2, 5], "step": 29, "ordinal_position": 30}, {"identifier": "W92", "position": [3, 5], "step": 30, "ordinal_position": 31}, {"identifier": "Z02", "position": [4, 5], "step": 31, "ordinal_position": 32}, {"identifier": "N52", "position": [5, 5], "step": 32, "ordinal_position": 33}, {"identifier": "C55", "position": [5, 4], "step": 33, "ordinal_position": 34}, {"identifier": "E12", "position": [5, 3], "step": 34, "ordinal_position": 35}, {"identifier": "T53", "position": [5, 2], "step": 35, "ordinal_position": 36}, {"identifier": "I37", "position": [5, 1], "step": 36, "ordinal_position": 37}, {"identifier": "R78", "position": [4, 1], "step": 37, "ordinal_position": 38}, {"identifier": "O49", "position": [3, 1], "step": 38, "ordinal_position": 39}, {"identifier": "K66", "position": [2, 1], "step": 39, "ordinal_position": 40}, {"identifier": "T33", "position": [1, 1], "step": 40, "ordinal_position": 41}, {"identifier": "M95", "position": [1, 2], "step": 41, "ordinal_position": 42}, {"identifier": "V35", "position": [1, 3], "step": 42, "ordinal_position": 43}, {"identifier": "E04", "position": [1, 4], "step": 43, "ordinal_position": 44}, {"identifier": "D02", "position": [1, 5], "step": 44, "ordinal_position": 45}, {"identifier": "S13", "position": [2, 5], "step": 45, "ordinal_position": 46}, {"identifier": "W92", "position": [3, 5], "step": 46, "ordinal_position": 47}, {"identifier": "Z02", "position": [4, 5], "step": 47, "ordinal_position": 48}, {"identifier": "N52", "position": [5, 5], "step": 48, "ordinal_position": 49}, {"identifier": "C55", "position": [5, 4], "step": 49, "ordinal_position": 50}, {"identifier": "E12", "position": [5, 3], "step": 50, "ordinal_position": 51}, {"identifier": "T53", "position": [5, 2], "step": 51, "ordinal_position": 52}, {"identifier": "I37", "position": [5, 1], "step": 52, "ordinal_position": 53}, {"identifier": "R78", "position": [4, 1], "step": 53, "ordinal_position": 54}, {"identifier": "O49", "position": [3, 1], "step": 54, "ordinal_position": 55}, {"identifier": "K66", "position": [2, 1], "step": 55, "ordinal_position": 56}, {"identifier": "T33", "position": [1, 1], "step": 56, "ordinal_position": 57}, {"identifier": "M95", "position": [1, 2], "step": 57, "ordinal_position": 58}, {"identifier": "V35", "position": [1, 3], "step": 58, "ordinal_position": 59}, {"identifier": "E04", "position": [1, 4], "step": 59, "ordinal_position": 60}, {"identifier": "D02", "position": [1, 5], "step": 60, "ordinal_position": 61}, {"identifier": "S13", "position": [2, 5], "step": 61, "ordinal_position": 62}, {"identifier": "W92", "position": [3, 5], "step": 62, "ordinal_position": 63}, {"identifier": "Z02", "position": [4, 5], "step": 63, "ordinal_position": 64}, {"identifier": "N52", "position": [5, 5], "step": 64, "ordinal_position": 65}, {"identifier": "C55", "position": [5, 4], "step": 65, "ordinal_position": 66}, {"identifier": "E12", "position": [5, 3], "step": 66, "ordinal_position": 67}, {"identifier": "T53", "position": [5, 2], "step": 67, "ordinal_position": 68}, {"identifier": "I37", "position": [5, 1], "step": 68, "ordinal_position": 69}, {"identifier": "R78", "position": [4, 1], "step": 69, "ordinal_position": 70}, {"identifier": "O49", "position": [3, 1], "step": 70, "ordinal_position": 71}, {"identifier": "K66", "position": [2, 1], "step": 71, "ordinal_position": 72}, {"identifier": "T33", "position": [1, 1], "step": 72, "ordinal_position": 73}, {"identifier": "M95", "position": [1, 2], "step": 73, "ordinal_position": 74}, {"identifier": "V35", "position": [1, 3], "step": 74, "ordinal_position": 75}, {"identifier": "E04", "position": [1, 4], "step": 75, "ordinal_position": 76}, {"identifier": "D02", "position": [1, 5], "step": 76, "ordinal_position": 77}, {"identifier": "S13", "position": [2, 5], "step": 77, "ordinal_position": 78}, {"identifier": "W92", "position": [3, 5], "step": 78, "ordinal_position": 79}, {"identifier": "Z02", "position": [4, 5], "step": 79, "ordinal_position": 80}, {"identifier": "N52", "position": [5, 5], "step": 80, "ordinal_position": 81}, {"identifier": "C55", "position": [5, 4], "step": 81, "ordinal_position": 82}, {"identifier": "E12", "position": [5, 3], "step": 82, "ordinal_position": 83}, {"identifier": "T53", "position": [5, 2], "step": 83, "ordinal_position": 84}, {"identifier": "I37", "position": [5, 1], "step": 84, "ordinal_position": 85}, {"identifier": "R78", "position": [4, 1], "step": 85, "ordinal_position": 86}, {"identifier": "O49", "position": [3, 1], "step": 86, "ordinal_position": 87}, {"identifier": "K66", "position": [2, 1], "step": 87, "ordinal_position": 88}, {"identifier": "T33", "position": [1, 1], "step": 88, "ordinal_position": 89}, {"identifier": "M95", "position": [1, 2], "step": 89, "ordinal_position": 90}, {"identifier": "V35", "position": [1, 3], "step": 90, "ordinal_position": 91}, {"identifier": "E04", "position": [1, 4], "step": 91, "ordinal_position": 92}, {"identifier": "D02", "position": [1, 5], "step": 92, "ordinal_position": 93}, {"identifier": "S13", "position": [2, 5], "step": 93, "ordinal_position": 94}, {"identifier": "W92", "position": [3, 5], "step": 94, "ordinal_position": 95}, {"identifier": "Z02", "position": [4, 5], "step": 95, "ordinal_position": 96}, {"identifier": "N52", "position": [5, 5], "step": 96, "ordinal_position": 97}, {"identifier": "C55", "position": [5, 4], "step": 97, "ordinal_position": 98}, {"identifier": "E12", "position": [5, 3], "step": 98, "ordinal_position": 99}, {"identifier": "T53", "position": [5, 2], "step": 99, "ordinal_position": 100}, {"identifier": "I37", "position": [5, 1], "step": 100, "ordinal_position": 101}, {"identifier": "R78", "position": [4, 1], "step": 101, "ordinal_position": 102}, {"identifier": "O49", "position": [3, 1], "step": 102, "ordinal_position": 103}, {"identifier": "K66", "position": [2, 1], "step": 103, "ordinal_position": 104}, {"identifier": "T33", "position": [1, 1], "step": 104, "ordinal_position": 105}, {"identifier": "M95", "position": [1, 2], "step": 105, "ordinal_position": 106}, {"identifier": "V35", "position": [1, 3], "step": 106, "ordinal_position": 107}, {"identifier": "E04", "position": [1, 4], "step": 107, "ordinal_position": 108}, {"identifier": "D02", "position": [1, 5], "step": 108, "ordinal_position": 109}, {"identifier": "S13", "position": [2, 5], "step": 109, "ordinal_position": 110}, {"identifier": "W92", "position": [3, 5], "step": 110, "ordinal_position": 111}, {"identifier": "Z02", "position": [4, 5], "step": 111, "ordinal_position": 112}, {"identifier": "N52", "position": [5, 5], "step": 112, "ordinal_position": 113}, {"identifier": "C55", "position": [5, 4], "step": 113, "ordinal_position": 114}, {"identifier": "E12", "position": [5, 3], "step": 114, "ordinal_position": 115}, {"identifier": "T53", "position": [5, 2], "step": 115, "ordinal_position": 116}, {"identifier": "I37", "position": [5, 1], "step": 116, "ordinal_position": 117}, {"identifier": "R78", "position": [4, 1], "step": 117, "ordinal_position": 118}, {"identifier": "O49", "position": [3, 1], "step": 118, "ordinal_position": 119}, {"identifier": "K66", "position": [2, 1], "step": 119, "ordinal_position": 120}, {"identifier": "T33", "position": [1, 1], "step": 120, "ordinal_position": 121}, {"identifier": "M95", "position": [1, 2], "step": 121, "ordinal_position": 122}, {"identifier": "V35", "position": [1, 3], "step": 122, "ordinal_position": 123}, {"identifier": "E04", "position": [1, 4], "step": 123, "ordinal_position": 124}, {"identifier": "D02", "position": [1, 5], "step": 124, "ordinal_position": 125}, {"identifier": "S13", "position": [2, 5], "step": 125, "ordinal_position": 126}, {"identifier": "W92", "position": [3, 5], "step": 126, "ordinal_position": 127}, {"identifier": "Z02", "position": [4, 5], "step": 127, "ordinal_position": 128}, {"identifier": "N52", "position": [5, 5], "step": 128, "ordinal_position": 129}, {"identifier": "C55", "position": [5, 4], "step": 129, "ordinal_position": 130}, {"identifier": "E12", "position": [5, 3], "step": 130, "ordinal_position": 131}, {"identifier": "T53", "position": [5, 2], "step": 131, "ordinal_position": 132}, {"identifier": "I37", "position": [5, 1], "step": 132, "ordinal_position": 133}, {"identifier": "R78", "position": [4, 1], "step": 133, "ordinal_position": 134}, {"identifier": "O49", "position": [3, 1], "step": 134, "ordinal_position": 135}, {"identifier": "K66", "position": [2, 1], "step": 135, "ordinal_position": 136}, {"identifier": "T33", "position": [1, 1], "step": 136, "ordinal_position": 137}, {"identifier": "M95", "position": [1, 2], "step": 137, "ordinal_position": 138}, {"identifier": "V35", "position": [1, 3], "step": 138, "ordinal_position": 139}, {"identifier": "E04", "position": [1, 4], "step": 139, "ordinal_position": 140}, {"identifier": "D02", "position": [1, 5], "step": 140, "ordinal_position": 141}, {"identifier": "S13", "position": [2, 5], "step": 141, "ordinal_position": 142}, {"identifier": "W92", "position": [3, 5], "step": 142, "ordinal_position": 143}, {"identifier": "Z02", "position": [4, 5], "step": 143, "ordinal_position": 144}, {"identifier": "N52", "position": [5, 5], "step": 144, "ordinal_position": 145}, {"identifier": "C55", "position": [5, 4], "step": 145, "ordinal_position": 146}, {"identifier": "E12", "position": [5, 3], "step": 146, "ordinal_position": 147}, {"identifier": "T53", "position": [5, 2], "step": 147, "ordinal_position": 148}, {"identifier": "I37", "position": [5, 1], "step": 148, "ordinal_position": 149}, {"identifier": "R78", "position": [4, 1], "step": 149, "ordinal_position": 150}, {"identifier": "O49", "position": [3, 1], "step": 150, "ordinal_position": 151}, {"identifier": "K66", "position": [2, 1], "step": 151, "ordinal_position": 152}, {"identifier": "T33", "position": [1, 1], "step": 152, "ordinal_position": 153}, {"identifier": "M95", "position": [1, 2], "step": 153, "ordinal_position": 154}, {"identifier": "V35", "position": [1, 3], "step": 154, "ordinal_position": 155}, {"identifier": "E04", "position": [1, 4], "step": 155, "ordinal_position": 156}, {"identifier": "D02", "position": [1, 5], "step": 156, "ordinal_position": 157}, {"identifier": "S13", "position": [2, 5], "step": 157, "ordinal_position": 158}, {"identifier": "W92", "position": [3, 5], "step": 158, "ordinal_position": 159}, {"identifier": "Z02", "position": [4, 5], "step": 159, "ordinal_position": 160}, {"identifier": "N52", "position": [5, 5], "step": 160, "ordinal_position": 161}, {"identifier": "C55", "position": [5, 4], "step": 161, "ordinal_position": 162}, {"identifier": "E12", "position": [5, 3], "step": 162, "ordinal_position": 163}, {"identifier": "T53", "position": [5, 2], "step": 163, "ordinal_position": 164}, {"identifier": "I37", "position": [5, 1], "step": 164, "ordinal_position": 165}, {"identifier": "R78", "position": [4, 1], "step": 165, "ordinal_position": 166}, {"identifier": "O49", "position": [3, 1], "step": 166, "ordinal_position": 167}, {"identifier": "K66", "position": [2, 1], "step": 167, "ordinal_position": 168}, {"identifier": "T33", "position": [1, 1], "step": 168, "ordinal_position": 169}, {"identifier": "M95", "position": [1, 2], "step": 169, "ordinal_position": 170}, {"identifier": "V35", "position": [1, 3], "step": 170, "ordinal_position": 171}, {"identifier": "E04", "position": [1, 4], "step": 171, "ordinal_position": 172}, {"identifier": "D02", "position": [1, 5], "step": 172, "ordinal_position": 173}, {"identifier": "S13", "position": [2, 5], "step": 173, "ordinal_position": 174}, {"identifier": "W92", "position": [3, 5], "step": 174, "ordinal_position": 175}, {"identifier": "Z02", "position": [4, 5], "step": 175, "ordinal_position": 176}, {"identifier": "N52", "position": [5, 5], "step": 176, "ordinal_position": 177}, {"identifier": "C55", "position": [5, 4], "step": 177, "ordinal_position": 178}, {"identifier": "E12", "position": [5, 3], "step": 178, "ordinal_position": 179}, {"identifier": "T53", "position": [5, 2], "step": 179, "ordinal_position": 180}, {"identifier": "I37", "position": [5, 1], "step": 180, "ordinal_position": 181}, {"identifier": "R78", "position": [4, 1], "step": 181, "ordinal_position": 182}, {"identifier": "O49", "position": [3, 1], "step": 182, "ordinal_position": 183}, {"identifier": "K66", "position": [2, 1], "step": 183, "ordinal_position": 184}, {"identifier": "T33", "position": [1, 1], "step": 184, "ordinal_position": 185}, {"identifier": "M95", "position": [1, 2], "step": 185, "ordinal_position": 186}, {"identifier": "V35", "position": [1, 3], "step": 186, "ordinal_position": 187}, {"identifier": "E04", "position": [1, 4], "step": 187, "ordinal_position": 188}, {"identifier": "D02", "position": [1, 5], "step": 188, "ordinal_position": 189}, {"identifier": "S13", "position": [2, 5], "step": 189, "ordinal_position": 190}, {"identifier": "W92", "position": [3, 5], "step": 190, "ordinal_position": 191}, {"identifier": "Z02", "position": [4, 5], "step": 191, "ordinal_position": 192}, {"identifier": "N52", "position": [5, 5], "step": 192, "ordinal_position": 193}, {"identifier": "C55", "position": [5, 4], "step": 193, "ordinal_position": 194}, {"identifier": "E12", "position": [5, 3], "step": 194, "ordinal_position": 195}, {"identifier": "T53", "position": [5, 2], "step": 195, "ordinal_position": 196}, {"identifier": "I37", "position": [5, 1], "step": 196, "ordinal_position": 197}, {"identifier": "R78", "position": [4, 1], "step": 197, "ordinal_position": 198}, {"identifier": "O49", "position": [3, 1], "step": 198, "ordinal_position": 199}, {"identifier": "K66", "position": [2, 1], "step": 199, "ordinal_position": 200}, {"identifier": "T33", "position": [1, 1], "step": 200, "ordinal_position": 201}, {"identifier": "M95", "position": [1, 2], "step": 201, "ordinal_position": 202}, {"identifier": "V35", "position": [1, 3], "step": 202, "ordinal_position": 203}, {"identifier": "E04", "position": [1, 4], "step": 203, "ordinal_position": 204}, {"identifier": "D02", "position": [1, 5], "step": 204, "ordinal_position": 205}, {"identifier": "S13", "position": [2, 5], "step": 205, "ordinal_position": 206}, {"identifier": "W92", "position": [3, 5], "step": 206, "ordinal_position": 207}, {"identifier": "Z02", "position": [4, 5], "step": 207, "ordinal_position": 208}, {"identifier": "N52", "position": [5, 5], "step": 208, "ordinal_position": 209}, {"identifier": "C55", "position": [5, 4], "step": 209, "ordinal_position": 210}, {"identifier": "E12", "position": [5, 3], "step": 210, "ordinal_position": 211}, {"identifier": "T53", "position": [5, 2], "step": 211, "ordinal_position": 212}, {"identifier": "I37", "position": [5, 1], "step": 212, "ordinal_position": 213}, {"identifier": "R78", "position": [4, 1], "step": 213, "ordinal_position": 214}, {"identifier": "O49", "position": [3, 1], "step": 214, "ordinal_position": 215}, {"identifier": "K66", "position": [2, 1], "step": 215, "ordinal_position": 216}, {"identifier": "T33", "position": [1, 1], "step": 216, "ordinal_position": 217}, {"identifier": "M95", "position": [1, 2], "step": 217, "ordinal_position": 218}, {"identifier": "V35", "position": [1, 3], "step": 218, "ordinal_position": 219}, {"identifier": "E04", "position": [1, 4], "step": 219, "ordinal_position": 220}, {"identifier": "D02", "position": [1, 5], "step": 220, "ordinal_position": 221}, {"identifier": "S13", "position": [2, 5], "step": 221, "ordinal_position": 222}, {"identifier": "W92", "position": [3, 5], "step": 222, "ordinal_position": 223}, {"identifier": "Z02", "position": [4, 5], "step": 223, "ordinal_position": 224}, {"identifier": "N52", "position": [5, 5], "step": 224, "ordinal_position": 225}, {"identifier": "C55", "position": [5, 4], "step": 225, "ordinal_position": 226}, {"identifier": "E12", "position": [5, 3], "step": 226, "ordinal_position": 227}, {"identifier": "T53", "position": [5, 2], "step": 227, "ordinal_position": 228}, {"identifier": "I37", "position": [5, 1], "step": 228, "ordinal_position": 229}, {"identifier": "R78", "position": [4, 1], "step": 229, "ordinal_position": 230}, {"identifier": "O49", "position": [3, 1], "step": 230, "ordinal_position": 231}, {"identifier": "K66", "position": [2, 1], "step": 231, "ordinal_position": 232}, {"identifier": "T33", "position": [1, 1], "step": 232, "ordinal_position": 233}, {"identifier": "M95", "position": [1, 2], "step": 233, "ordinal_position": 234}, {"identifier": "V35", "position": [1, 3], "step": 234, "ordinal_position": 235}, {"identifier": "E04", "position": [1, 4], "step": 235, "ordinal_position": 236}, {"identifier": "D02", "position": [1, 5], "step": 236, "ordinal_position": 237}, {"identifier": "S13", "position": [2, 5], "step": 237, "ordinal_position": 238}, {"identifier": "W92", "position": [3, 5], "step": 238, "ordinal_position": 239}, {"identifier": "Z02", "position": [4, 5], "step": 239, "ordinal_position": 240}, {"identifier": "N52", "position": [5, 5], "step": 240, "ordinal_position": 241}, {"identifier": "C55", "position": [5, 4], "step": 241, "ordinal_position": 242}, {"identifier": "E12", "position": [5, 3], "step": 242, "ordinal_position": 243}, {"identifier": "T53", "position": [5, 2], "step": 243, "ordinal_position": 244}, {"identifier": "I37", "position": [5, 1], "step": 244, "ordinal_position": 245}, {"identifier": "R78", "position": [4, 1], "step": 245, "ordinal_position": 246}, {"identifier": "O49", "position": [3, 1], "step": 246, "ordinal_position": 247}, {"identifier": "K66", "position": [2, 1], "step": 247, "ordinal_position": 248}, {"identifier": "T33", "position": [1, 1], "step": 248, "ordinal_position": 249}, {"identifier": "M95", "position": [1, 2], "step": 249, "ordinal_position": 250}, {"identifier": "V35", "position": [1, 3], "step": 250, "ordinal_position": 251}, {"identifier": "E04", "position": [1, 4], "step": 251, "ordinal_position": 252}, {"identifier": "D02", "position": [1, 5], "step": 252, "ordinal_position": 253}, {"identifier": "S13", "position": [2, 5], "step": 253, "ordinal_position": 254}, {"identifier": "W92", "position": [3, 5], "step": 254, "ordinal_position": 255}, {"identifier": "Z02", "position": [4, 5], "step": 255, "ordinal_position": 256}, {"identifier": "N52", "position": [5, 5], "step": 256, "ordinal_position": 257}, {"identifier": "C55", "position": [5, 4], "step": 257, "ordinal_position": 258}, {"identifier": "E12", "position": [5, 3], "step": 258, "ordinal_position": 259}, {"identifier": "T53", "position": [5, 2], "step": 259, "ordinal_position": 260}, {"identifier": "I37", "position": [5, 1], "step": 260, "ordinal_position": 261}, {"identifier": "R78", "position": [4, 1], "step": 261, "ordinal_position": 262}, {"identifier": "O49", "position": [3, 1], "step": 262, "ordinal_position": 263}, {"identifier": "K66", "position": [2, 1], "step": 263, "ordinal_position": 264}, {"identifier": "T33", "position": [1, 1], "step": 264, "ordinal_position": 265}, {"identifier": "M95", "position": [1, 2], "step": 265, "ordinal_position": 266}, {"identifier": "V35", "position": [1, 3], "step": 266, "ordinal_position": 267}, {"identifier": "E04", "position": [1, 4], "step": 267, "ordinal_position": 268}, {"identifier": "D02", "position": [1, 5], "step": 268, "ordinal_position": 269}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 269, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_000.json"}} {"qa_id": "6b028234eb43432e8e3466fac7c1fa40", "image_id": "L3-MazeLoop-test_7x7_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O49, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 162nd position in this traversal?", "start_object_id": "O49", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [162], "ordinal_strings": ["162nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K66", "traversal_path": [{"identifier": "O49", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "K66", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "T33", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "M95", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "V35", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "E04", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "D02", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "S13", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "W92", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "Z02", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "N52", "position": [5, 5], "step": 10, "ordinal_position": 11}, {"identifier": "C55", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "E12", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "T53", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "I37", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "R78", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "O49", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "K66", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "T33", "position": [1, 1], "step": 18, "ordinal_position": 19}, {"identifier": "M95", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "V35", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "E04", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "D02", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "S13", "position": [2, 5], "step": 23, "ordinal_position": 24}, {"identifier": "W92", "position": [3, 5], "step": 24, "ordinal_position": 25}, {"identifier": "Z02", "position": [4, 5], "step": 25, "ordinal_position": 26}, {"identifier": "N52", "position": [5, 5], "step": 26, "ordinal_position": 27}, {"identifier": "C55", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "E12", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "T53", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "I37", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "R78", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "O49", "position": [3, 1], "step": 32, "ordinal_position": 33}, {"identifier": "K66", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "T33", "position": [1, 1], "step": 34, "ordinal_position": 35}, {"identifier": "M95", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "V35", "position": [1, 3], "step": 36, "ordinal_position": 37}, {"identifier": "E04", "position": [1, 4], "step": 37, "ordinal_position": 38}, {"identifier": "D02", "position": [1, 5], "step": 38, "ordinal_position": 39}, {"identifier": "S13", "position": [2, 5], "step": 39, "ordinal_position": 40}, {"identifier": "W92", "position": [3, 5], "step": 40, "ordinal_position": 41}, {"identifier": "Z02", "position": [4, 5], "step": 41, "ordinal_position": 42}, {"identifier": "N52", "position": [5, 5], 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[4, 5], "step": 105, "ordinal_position": 106}, {"identifier": "N52", "position": [5, 5], "step": 106, "ordinal_position": 107}, {"identifier": "C55", "position": [5, 4], "step": 107, "ordinal_position": 108}, {"identifier": "E12", "position": [5, 3], "step": 108, "ordinal_position": 109}, {"identifier": "T53", "position": [5, 2], "step": 109, "ordinal_position": 110}, {"identifier": "I37", "position": [5, 1], "step": 110, "ordinal_position": 111}, {"identifier": "R78", "position": [4, 1], "step": 111, "ordinal_position": 112}, {"identifier": "O49", "position": [3, 1], "step": 112, "ordinal_position": 113}, {"identifier": "K66", "position": [2, 1], "step": 113, "ordinal_position": 114}, {"identifier": "T33", "position": [1, 1], "step": 114, "ordinal_position": 115}, {"identifier": "M95", "position": [1, 2], "step": 115, "ordinal_position": 116}, {"identifier": "V35", "position": [1, 3], "step": 116, "ordinal_position": 117}, {"identifier": "E04", "position": [1, 4], "step": 117, "ordinal_position": 118}, {"identifier": "D02", "position": [1, 5], "step": 118, "ordinal_position": 119}, {"identifier": "S13", "position": [2, 5], "step": 119, "ordinal_position": 120}, {"identifier": "W92", "position": [3, 5], "step": 120, "ordinal_position": 121}, {"identifier": "Z02", "position": [4, 5], "step": 121, "ordinal_position": 122}, {"identifier": "N52", "position": [5, 5], "step": 122, "ordinal_position": 123}, {"identifier": "C55", "position": [5, 4], "step": 123, "ordinal_position": 124}, {"identifier": "E12", "position": [5, 3], "step": 124, "ordinal_position": 125}, {"identifier": "T53", "position": [5, 2], "step": 125, "ordinal_position": 126}, {"identifier": "I37", "position": [5, 1], "step": 126, "ordinal_position": 127}, {"identifier": "R78", "position": [4, 1], "step": 127, "ordinal_position": 128}, {"identifier": "O49", "position": [3, 1], "step": 128, "ordinal_position": 129}, {"identifier": "K66", "position": [2, 1], "step": 129, "ordinal_position": 130}, {"identifier": "T33", "position": [1, 1], "step": 130, "ordinal_position": 131}, {"identifier": "M95", "position": [1, 2], "step": 131, "ordinal_position": 132}, {"identifier": "V35", "position": [1, 3], "step": 132, "ordinal_position": 133}, {"identifier": "E04", "position": [1, 4], "step": 133, "ordinal_position": 134}, {"identifier": "D02", "position": [1, 5], "step": 134, "ordinal_position": 135}, {"identifier": "S13", "position": [2, 5], "step": 135, "ordinal_position": 136}, {"identifier": "W92", "position": [3, 5], "step": 136, "ordinal_position": 137}, {"identifier": "Z02", "position": [4, 5], "step": 137, "ordinal_position": 138}, {"identifier": "N52", "position": [5, 5], "step": 138, "ordinal_position": 139}, {"identifier": "C55", "position": [5, 4], "step": 139, "ordinal_position": 140}, {"identifier": "E12", "position": [5, 3], "step": 140, "ordinal_position": 141}, {"identifier": "T53", "position": [5, 2], "step": 141, "ordinal_position": 142}, {"identifier": "I37", "position": [5, 1], "step": 142, "ordinal_position": 143}, {"identifier": "R78", "position": [4, 1], "step": 143, "ordinal_position": 144}, {"identifier": "O49", "position": [3, 1], "step": 144, "ordinal_position": 145}, {"identifier": "K66", "position": [2, 1], "step": 145, "ordinal_position": 146}, {"identifier": "T33", "position": [1, 1], "step": 146, "ordinal_position": 147}, {"identifier": "M95", "position": [1, 2], "step": 147, "ordinal_position": 148}, {"identifier": "V35", "position": [1, 3], "step": 148, "ordinal_position": 149}, {"identifier": "E04", "position": [1, 4], "step": 149, "ordinal_position": 150}, {"identifier": "D02", "position": [1, 5], "step": 150, "ordinal_position": 151}, {"identifier": "S13", "position": [2, 5], "step": 151, "ordinal_position": 152}, {"identifier": "W92", "position": [3, 5], "step": 152, "ordinal_position": 153}, {"identifier": "Z02", "position": [4, 5], "step": 153, "ordinal_position": 154}, {"identifier": "N52", "position": [5, 5], "step": 154, "ordinal_position": 155}, {"identifier": "C55", "position": [5, 4], "step": 155, "ordinal_position": 156}, {"identifier": "E12", "position": [5, 3], "step": 156, "ordinal_position": 157}, {"identifier": "T53", "position": [5, 2], "step": 157, "ordinal_position": 158}, {"identifier": "I37", "position": [5, 1], "step": 158, "ordinal_position": 159}, {"identifier": "R78", "position": [4, 1], "step": 159, "ordinal_position": 160}, {"identifier": "O49", "position": [3, 1], "step": 160, "ordinal_position": 161}, {"identifier": "K66", "position": [2, 1], "step": 161, "ordinal_position": 162}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 162, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_000.json"}} {"qa_id": "7548494645814a4ba2081e18b2621302", "image_id": "L3-MazeLoop-test_7x7_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R78, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 298th position in this traversal?", "start_object_id": "R78", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [298], "ordinal_strings": ["298th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "W92", "traversal_path": [{"identifier": "R78", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "O49", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "K66", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "T33", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "M95", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "V35", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "E04", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "D02", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "S13", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "W92", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "Z02", "position": [4, 5], "step": 10, "ordinal_position": 11}, {"identifier": "N52", "position": [5, 5], "step": 11, "ordinal_position": 12}, {"identifier": "C55", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "E12", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "T53", "position": [5, 2], "step": 14, "ordinal_position": 15}, {"identifier": "I37", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "R78", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "O49", "position": [3, 1], "step": 17, "ordinal_position": 18}, {"identifier": "K66", "position": [2, 1], "step": 18, "ordinal_position": 19}, {"identifier": "T33", "position": [1, 1], "step": 19, "ordinal_position": 20}, {"identifier": "M95", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "V35", "position": [1, 3], "step": 21, "ordinal_position": 22}, {"identifier": "E04", "position": [1, 4], "step": 22, "ordinal_position": 23}, {"identifier": "D02", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "S13", "position": [2, 5], "step": 24, "ordinal_position": 25}, {"identifier": "W92", "position": [3, 5], "step": 25, "ordinal_position": 26}, {"identifier": "Z02", "position": [4, 5], "step": 26, "ordinal_position": 27}, {"identifier": "N52", "position": [5, 5], "step": 27, "ordinal_position": 28}, {"identifier": "C55", "position": [5, 4], "step": 28, "ordinal_position": 29}, {"identifier": "E12", "position": [5, 3], "step": 29, "ordinal_position": 30}, {"identifier": "T53", "position": [5, 2], "step": 30, "ordinal_position": 31}, {"identifier": "I37", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "R78", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "O49", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "K66", "position": [2, 1], "step": 34, "ordinal_position": 35}, {"identifier": "T33", "position": [1, 1], "step": 35, "ordinal_position": 36}, {"identifier": "M95", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "V35", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "E04", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "D02", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "S13", "position": [2, 5], "step": 40, "ordinal_position": 41}, {"identifier": "W92", "position": [3, 5], "step": 41, "ordinal_position": 42}, {"identifier": "Z02", "position": [4, 5], "step": 42, "ordinal_position": 43}, {"identifier": "N52", "position": [5, 5], "step": 43, "ordinal_position": 44}, {"identifier": "C55", "position": [5, 4], "step": 44, "ordinal_position": 45}, {"identifier": "E12", "position": [5, 3], "step": 45, "ordinal_position": 46}, {"identifier": "T53", "position": [5, 2], "step": 46, "ordinal_position": 47}, {"identifier": "I37", "position": [5, 1], "step": 47, "ordinal_position": 48}, {"identifier": "R78", "position": [4, 1], "step": 48, "ordinal_position": 49}, {"identifier": "O49", "position": [3, 1], "step": 49, "ordinal_position": 50}, {"identifier": "K66", "position": [2, 1], "step": 50, "ordinal_position": 51}, {"identifier": "T33", "position": [1, 1], "step": 51, "ordinal_position": 52}, {"identifier": "M95", "position": [1, 2], "step": 52, "ordinal_position": 53}, {"identifier": "V35", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "E04", "position": [1, 4], "step": 54, "ordinal_position": 55}, {"identifier": "D02", "position": [1, 5], "step": 55, "ordinal_position": 56}, {"identifier": "S13", "position": [2, 5], "step": 56, "ordinal_position": 57}, {"identifier": "W92", "position": [3, 5], "step": 57, "ordinal_position": 58}, {"identifier": "Z02", "position": [4, 5], "step": 58, "ordinal_position": 59}, {"identifier": "N52", "position": [5, 5], "step": 59, "ordinal_position": 60}, {"identifier": "C55", "position": [5, 4], "step": 60, "ordinal_position": 61}, {"identifier": "E12", "position": [5, 3], "step": 61, "ordinal_position": 62}, {"identifier": "T53", "position": [5, 2], "step": 62, "ordinal_position": 63}, {"identifier": "I37", "position": [5, 1], "step": 63, "ordinal_position": 64}, {"identifier": "R78", "position": [4, 1], "step": 64, "ordinal_position": 65}, {"identifier": "O49", "position": [3, 1], "step": 65, "ordinal_position": 66}, {"identifier": "K66", "position": [2, 1], "step": 66, "ordinal_position": 67}, {"identifier": "T33", "position": [1, 1], "step": 67, "ordinal_position": 68}, {"identifier": "M95", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "V35", "position": [1, 3], "step": 69, "ordinal_position": 70}, {"identifier": "E04", "position": [1, 4], "step": 70, "ordinal_position": 71}, {"identifier": "D02", "position": [1, 5], "step": 71, "ordinal_position": 72}, {"identifier": "S13", "position": [2, 5], "step": 72, "ordinal_position": 73}, {"identifier": "W92", "position": [3, 5], "step": 73, "ordinal_position": 74}, {"identifier": "Z02", "position": [4, 5], "step": 74, "ordinal_position": 75}, {"identifier": "N52", "position": [5, 5], "step": 75, "ordinal_position": 76}, {"identifier": "C55", "position": [5, 4], "step": 76, "ordinal_position": 77}, {"identifier": "E12", "position": [5, 3], "step": 77, "ordinal_position": 78}, {"identifier": "T53", "position": [5, 2], "step": 78, "ordinal_position": 79}, {"identifier": "I37", "position": [5, 1], "step": 79, "ordinal_position": 80}, {"identifier": "R78", "position": [4, 1], "step": 80, "ordinal_position": 81}, {"identifier": "O49", "position": [3, 1], "step": 81, "ordinal_position": 82}, {"identifier": "K66", "position": [2, 1], "step": 82, "ordinal_position": 83}, {"identifier": "T33", "position": [1, 1], "step": 83, "ordinal_position": 84}, {"identifier": "M95", "position": [1, 2], "step": 84, "ordinal_position": 85}, {"identifier": "V35", "position": [1, 3], "step": 85, "ordinal_position": 86}, {"identifier": "E04", "position": [1, 4], "step": 86, "ordinal_position": 87}, {"identifier": "D02", 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100}, {"identifier": "M95", "position": [1, 2], "step": 100, "ordinal_position": 101}, {"identifier": "V35", "position": [1, 3], "step": 101, "ordinal_position": 102}, {"identifier": "E04", "position": [1, 4], "step": 102, "ordinal_position": 103}, {"identifier": "D02", "position": [1, 5], "step": 103, "ordinal_position": 104}, {"identifier": "S13", "position": [2, 5], "step": 104, "ordinal_position": 105}, {"identifier": "W92", "position": [3, 5], "step": 105, "ordinal_position": 106}, {"identifier": "Z02", "position": [4, 5], "step": 106, "ordinal_position": 107}, {"identifier": "N52", "position": [5, 5], "step": 107, "ordinal_position": 108}, {"identifier": "C55", "position": [5, 4], "step": 108, "ordinal_position": 109}, {"identifier": "E12", "position": [5, 3], "step": 109, "ordinal_position": 110}, {"identifier": "T53", "position": [5, 2], "step": 110, "ordinal_position": 111}, {"identifier": "I37", "position": [5, 1], "step": 111, "ordinal_position": 112}, {"identifier": "R78", "position": [4, 1], "step": 112, "ordinal_position": 113}, {"identifier": "O49", "position": [3, 1], "step": 113, "ordinal_position": 114}, {"identifier": "K66", "position": [2, 1], "step": 114, "ordinal_position": 115}, {"identifier": "T33", "position": [1, 1], "step": 115, "ordinal_position": 116}, {"identifier": "M95", "position": [1, 2], "step": 116, "ordinal_position": 117}, {"identifier": "V35", "position": [1, 3], "step": 117, "ordinal_position": 118}, {"identifier": "E04", "position": [1, 4], "step": 118, "ordinal_position": 119}, {"identifier": "D02", "position": [1, 5], "step": 119, "ordinal_position": 120}, {"identifier": "S13", "position": [2, 5], "step": 120, "ordinal_position": 121}, {"identifier": "W92", "position": [3, 5], "step": 121, "ordinal_position": 122}, {"identifier": "Z02", "position": [4, 5], "step": 122, "ordinal_position": 123}, {"identifier": "N52", "position": [5, 5], "step": 123, "ordinal_position": 124}, {"identifier": "C55", "position": [5, 4], "step": 124, "ordinal_position": 125}, {"identifier": "E12", "position": [5, 3], "step": 125, "ordinal_position": 126}, {"identifier": "T53", "position": [5, 2], "step": 126, "ordinal_position": 127}, {"identifier": "I37", "position": [5, 1], "step": 127, "ordinal_position": 128}, {"identifier": "R78", "position": [4, 1], "step": 128, "ordinal_position": 129}, {"identifier": "O49", "position": [3, 1], "step": 129, "ordinal_position": 130}, {"identifier": "K66", "position": [2, 1], "step": 130, "ordinal_position": 131}, {"identifier": "T33", "position": [1, 1], "step": 131, "ordinal_position": 132}, {"identifier": "M95", "position": [1, 2], "step": 132, "ordinal_position": 133}, {"identifier": "V35", "position": [1, 3], "step": 133, "ordinal_position": 134}, {"identifier": "E04", "position": [1, 4], "step": 134, "ordinal_position": 135}, {"identifier": "D02", "position": [1, 5], "step": 135, "ordinal_position": 136}, {"identifier": "S13", "position": [2, 5], "step": 136, "ordinal_position": 137}, {"identifier": "W92", "position": [3, 5], "step": 137, "ordinal_position": 138}, {"identifier": "Z02", "position": [4, 5], "step": 138, "ordinal_position": 139}, {"identifier": "N52", "position": [5, 5], "step": 139, "ordinal_position": 140}, {"identifier": "C55", "position": [5, 4], "step": 140, "ordinal_position": 141}, {"identifier": "E12", "position": [5, 3], "step": 141, "ordinal_position": 142}, {"identifier": "T53", "position": [5, 2], "step": 142, "ordinal_position": 143}, {"identifier": "I37", "position": [5, 1], "step": 143, "ordinal_position": 144}, {"identifier": "R78", "position": [4, 1], "step": 144, "ordinal_position": 145}, {"identifier": "O49", "position": [3, 1], "step": 145, "ordinal_position": 146}, {"identifier": "K66", "position": [2, 1], "step": 146, "ordinal_position": 147}, {"identifier": "T33", "position": [1, 1], "step": 147, "ordinal_position": 148}, {"identifier": "M95", "position": [1, 2], "step": 148, "ordinal_position": 149}, {"identifier": "V35", "position": [1, 3], "step": 149, "ordinal_position": 150}, {"identifier": "E04", "position": [1, 4], "step": 150, "ordinal_position": 151}, {"identifier": "D02", "position": [1, 5], "step": 151, "ordinal_position": 152}, {"identifier": "S13", "position": [2, 5], "step": 152, "ordinal_position": 153}, {"identifier": "W92", "position": [3, 5], "step": 153, "ordinal_position": 154}, {"identifier": "Z02", "position": [4, 5], "step": 154, "ordinal_position": 155}, {"identifier": "N52", "position": [5, 5], "step": 155, "ordinal_position": 156}, {"identifier": "C55", "position": [5, 4], "step": 156, "ordinal_position": 157}, {"identifier": "E12", "position": [5, 3], "step": 157, "ordinal_position": 158}, {"identifier": "T53", "position": [5, 2], "step": 158, "ordinal_position": 159}, {"identifier": "I37", "position": [5, 1], "step": 159, "ordinal_position": 160}, {"identifier": "R78", "position": [4, 1], "step": 160, "ordinal_position": 161}, {"identifier": "O49", "position": [3, 1], "step": 161, "ordinal_position": 162}, {"identifier": "K66", "position": [2, 1], "step": 162, "ordinal_position": 163}, {"identifier": "T33", "position": [1, 1], "step": 163, "ordinal_position": 164}, {"identifier": "M95", "position": [1, 2], "step": 164, "ordinal_position": 165}, {"identifier": "V35", "position": [1, 3], "step": 165, "ordinal_position": 166}, {"identifier": "E04", "position": [1, 4], "step": 166, "ordinal_position": 167}, {"identifier": "D02", "position": [1, 5], "step": 167, "ordinal_position": 168}, {"identifier": "S13", "position": [2, 5], "step": 168, "ordinal_position": 169}, {"identifier": "W92", "position": [3, 5], "step": 169, "ordinal_position": 170}, {"identifier": "Z02", "position": [4, 5], "step": 170, "ordinal_position": 171}, {"identifier": "N52", "position": [5, 5], "step": 171, "ordinal_position": 172}, {"identifier": "C55", "position": [5, 4], "step": 172, "ordinal_position": 173}, {"identifier": "E12", "position": [5, 3], "step": 173, "ordinal_position": 174}, {"identifier": "T53", "position": [5, 2], "step": 174, "ordinal_position": 175}, {"identifier": "I37", "position": [5, 1], "step": 175, "ordinal_position": 176}, {"identifier": "R78", "position": [4, 1], "step": 176, "ordinal_position": 177}, {"identifier": "O49", "position": [3, 1], "step": 177, "ordinal_position": 178}, {"identifier": "K66", "position": [2, 1], "step": 178, "ordinal_position": 179}, {"identifier": "T33", "position": [1, 1], "step": 179, "ordinal_position": 180}, {"identifier": "M95", "position": [1, 2], "step": 180, "ordinal_position": 181}, {"identifier": "V35", "position": [1, 3], "step": 181, "ordinal_position": 182}, {"identifier": "E04", "position": [1, 4], "step": 182, "ordinal_position": 183}, {"identifier": "D02", "position": [1, 5], "step": 183, "ordinal_position": 184}, {"identifier": "S13", "position": [2, 5], "step": 184, "ordinal_position": 185}, {"identifier": "W92", "position": [3, 5], "step": 185, "ordinal_position": 186}, {"identifier": "Z02", "position": [4, 5], "step": 186, "ordinal_position": 187}, {"identifier": "N52", "position": [5, 5], "step": 187, "ordinal_position": 188}, {"identifier": "C55", "position": [5, 4], "step": 188, "ordinal_position": 189}, {"identifier": "E12", "position": [5, 3], "step": 189, "ordinal_position": 190}, {"identifier": "T53", "position": [5, 2], "step": 190, "ordinal_position": 191}, {"identifier": "I37", "position": [5, 1], "step": 191, "ordinal_position": 192}, {"identifier": "R78", "position": [4, 1], "step": 192, "ordinal_position": 193}, {"identifier": "O49", "position": [3, 1], "step": 193, "ordinal_position": 194}, {"identifier": "K66", "position": [2, 1], "step": 194, "ordinal_position": 195}, {"identifier": "T33", "position": [1, 1], "step": 195, "ordinal_position": 196}, {"identifier": "M95", "position": [1, 2], "step": 196, "ordinal_position": 197}, {"identifier": "V35", "position": [1, 3], "step": 197, "ordinal_position": 198}, {"identifier": "E04", "position": [1, 4], "step": 198, "ordinal_position": 199}, {"identifier": "D02", "position": [1, 5], "step": 199, "ordinal_position": 200}, {"identifier": "S13", "position": [2, 5], "step": 200, "ordinal_position": 201}, {"identifier": "W92", "position": [3, 5], "step": 201, "ordinal_position": 202}, {"identifier": "Z02", "position": [4, 5], "step": 202, "ordinal_position": 203}, {"identifier": "N52", "position": [5, 5], "step": 203, "ordinal_position": 204}, {"identifier": "C55", "position": [5, 4], "step": 204, "ordinal_position": 205}, {"identifier": "E12", "position": [5, 3], "step": 205, "ordinal_position": 206}, {"identifier": "T53", "position": [5, 2], "step": 206, "ordinal_position": 207}, {"identifier": "I37", "position": [5, 1], "step": 207, "ordinal_position": 208}, {"identifier": "R78", "position": [4, 1], "step": 208, "ordinal_position": 209}, {"identifier": "O49", "position": [3, 1], "step": 209, "ordinal_position": 210}, {"identifier": "K66", "position": [2, 1], "step": 210, "ordinal_position": 211}, {"identifier": "T33", "position": [1, 1], "step": 211, "ordinal_position": 212}, {"identifier": "M95", "position": [1, 2], "step": 212, "ordinal_position": 213}, {"identifier": "V35", "position": [1, 3], "step": 213, "ordinal_position": 214}, {"identifier": "E04", "position": [1, 4], "step": 214, "ordinal_position": 215}, {"identifier": "D02", "position": [1, 5], "step": 215, "ordinal_position": 216}, {"identifier": "S13", "position": [2, 5], "step": 216, "ordinal_position": 217}, {"identifier": "W92", "position": [3, 5], "step": 217, "ordinal_position": 218}, {"identifier": "Z02", "position": [4, 5], "step": 218, "ordinal_position": 219}, {"identifier": "N52", "position": [5, 5], "step": 219, "ordinal_position": 220}, {"identifier": "C55", "position": [5, 4], "step": 220, "ordinal_position": 221}, {"identifier": "E12", "position": [5, 3], "step": 221, "ordinal_position": 222}, {"identifier": "T53", "position": [5, 2], "step": 222, "ordinal_position": 223}, {"identifier": "I37", "position": [5, 1], "step": 223, "ordinal_position": 224}, {"identifier": "R78", "position": [4, 1], "step": 224, "ordinal_position": 225}, {"identifier": "O49", "position": [3, 1], "step": 225, "ordinal_position": 226}, {"identifier": "K66", "position": [2, 1], "step": 226, "ordinal_position": 227}, {"identifier": "T33", "position": [1, 1], "step": 227, "ordinal_position": 228}, {"identifier": "M95", "position": [1, 2], "step": 228, "ordinal_position": 229}, {"identifier": "V35", "position": [1, 3], "step": 229, "ordinal_position": 230}, {"identifier": "E04", "position": [1, 4], "step": 230, "ordinal_position": 231}, {"identifier": "D02", "position": [1, 5], "step": 231, "ordinal_position": 232}, {"identifier": "S13", "position": [2, 5], "step": 232, "ordinal_position": 233}, {"identifier": "W92", "position": [3, 5], "step": 233, "ordinal_position": 234}, {"identifier": "Z02", "position": [4, 5], "step": 234, "ordinal_position": 235}, {"identifier": "N52", "position": [5, 5], "step": 235, "ordinal_position": 236}, {"identifier": "C55", "position": [5, 4], "step": 236, "ordinal_position": 237}, {"identifier": "E12", "position": [5, 3], "step": 237, "ordinal_position": 238}, {"identifier": "T53", "position": [5, 2], "step": 238, "ordinal_position": 239}, {"identifier": "I37", "position": [5, 1], "step": 239, "ordinal_position": 240}, {"identifier": "R78", "position": [4, 1], "step": 240, "ordinal_position": 241}, {"identifier": "O49", "position": [3, 1], "step": 241, "ordinal_position": 242}, {"identifier": "K66", "position": [2, 1], "step": 242, "ordinal_position": 243}, {"identifier": "T33", "position": [1, 1], "step": 243, "ordinal_position": 244}, {"identifier": "M95", "position": [1, 2], "step": 244, "ordinal_position": 245}, {"identifier": "V35", "position": [1, 3], "step": 245, "ordinal_position": 246}, {"identifier": "E04", "position": [1, 4], "step": 246, "ordinal_position": 247}, {"identifier": "D02", "position": [1, 5], "step": 247, "ordinal_position": 248}, {"identifier": "S13", "position": [2, 5], "step": 248, "ordinal_position": 249}, {"identifier": "W92", "position": [3, 5], "step": 249, "ordinal_position": 250}, {"identifier": "Z02", "position": [4, 5], "step": 250, "ordinal_position": 251}, {"identifier": "N52", "position": [5, 5], "step": 251, "ordinal_position": 252}, {"identifier": "C55", "position": [5, 4], "step": 252, "ordinal_position": 253}, {"identifier": "E12", "position": [5, 3], "step": 253, "ordinal_position": 254}, {"identifier": "T53", "position": [5, 2], "step": 254, "ordinal_position": 255}, {"identifier": "I37", "position": [5, 1], "step": 255, "ordinal_position": 256}, {"identifier": "R78", "position": [4, 1], "step": 256, "ordinal_position": 257}, {"identifier": "O49", "position": [3, 1], "step": 257, "ordinal_position": 258}, {"identifier": "K66", "position": [2, 1], "step": 258, "ordinal_position": 259}, {"identifier": "T33", "position": [1, 1], "step": 259, "ordinal_position": 260}, {"identifier": "M95", "position": [1, 2], "step": 260, "ordinal_position": 261}, {"identifier": "V35", "position": [1, 3], "step": 261, "ordinal_position": 262}, {"identifier": "E04", "position": [1, 4], "step": 262, "ordinal_position": 263}, {"identifier": "D02", "position": [1, 5], "step": 263, "ordinal_position": 264}, {"identifier": "S13", "position": [2, 5], "step": 264, "ordinal_position": 265}, {"identifier": "W92", "position": [3, 5], "step": 265, "ordinal_position": 266}, {"identifier": "Z02", "position": [4, 5], "step": 266, "ordinal_position": 267}, {"identifier": "N52", "position": [5, 5], "step": 267, "ordinal_position": 268}, {"identifier": "C55", "position": [5, 4], "step": 268, "ordinal_position": 269}, {"identifier": "E12", "position": [5, 3], "step": 269, "ordinal_position": 270}, {"identifier": "T53", "position": [5, 2], "step": 270, "ordinal_position": 271}, {"identifier": "I37", "position": [5, 1], "step": 271, "ordinal_position": 272}, {"identifier": "R78", "position": [4, 1], "step": 272, "ordinal_position": 273}, {"identifier": "O49", "position": [3, 1], "step": 273, "ordinal_position": 274}, {"identifier": "K66", "position": [2, 1], "step": 274, "ordinal_position": 275}, {"identifier": "T33", "position": [1, 1], "step": 275, "ordinal_position": 276}, {"identifier": "M95", "position": [1, 2], "step": 276, "ordinal_position": 277}, {"identifier": "V35", "position": [1, 3], "step": 277, "ordinal_position": 278}, {"identifier": "E04", "position": [1, 4], "step": 278, "ordinal_position": 279}, {"identifier": "D02", "position": [1, 5], "step": 279, "ordinal_position": 280}, {"identifier": "S13", "position": [2, 5], "step": 280, "ordinal_position": 281}, {"identifier": "W92", "position": [3, 5], "step": 281, "ordinal_position": 282}, {"identifier": "Z02", "position": [4, 5], "step": 282, "ordinal_position": 283}, {"identifier": "N52", "position": [5, 5], "step": 283, "ordinal_position": 284}, {"identifier": "C55", "position": [5, 4], "step": 284, "ordinal_position": 285}, {"identifier": "E12", "position": [5, 3], "step": 285, "ordinal_position": 286}, {"identifier": "T53", "position": [5, 2], "step": 286, "ordinal_position": 287}, {"identifier": "I37", "position": [5, 1], "step": 287, "ordinal_position": 288}, {"identifier": "R78", "position": [4, 1], "step": 288, "ordinal_position": 289}, {"identifier": "O49", "position": [3, 1], "step": 289, "ordinal_position": 290}, {"identifier": "K66", "position": [2, 1], "step": 290, "ordinal_position": 291}, {"identifier": "T33", "position": [1, 1], "step": 291, "ordinal_position": 292}, {"identifier": "M95", "position": [1, 2], "step": 292, "ordinal_position": 293}, {"identifier": "V35", "position": [1, 3], "step": 293, "ordinal_position": 294}, {"identifier": "E04", "position": [1, 4], "step": 294, "ordinal_position": 295}, {"identifier": "D02", "position": [1, 5], "step": 295, "ordinal_position": 296}, {"identifier": "S13", "position": [2, 5], "step": 296, "ordinal_position": 297}, {"identifier": "W92", "position": [3, 5], "step": 297, "ordinal_position": 298}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 298, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_000.json"}} {"qa_id": "9018bbaf0b854778b2339a7329944277", "image_id": "L3-MazeLoop-test_7x7_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A91, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "A91", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "S24", "traversal_path": [{"identifier": "A91", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "N00", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "K90", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "B18", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "S24", "position": [1, 4], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_001.json"}} {"qa_id": "b330e1e8064044598482f4f6cd059db7", "image_id": "L3-MazeLoop-test_7x7_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K90, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "K90", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "I87", "traversal_path": [{"identifier": "K90", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "B18", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "S24", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "I87", "position": [1, 5], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_001.json"}} {"qa_id": "e4bb2299a3404be1b9a1bd38a817dc45", "image_id": "L3-MazeLoop-test_7x7_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I87, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "I87", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "N00", "traversal_path": [{"identifier": "I87", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "S24", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "B18", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "K90", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "N00", "position": [1, 1], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_001.json"}} {"qa_id": "4e309a036a36416ea68699890cba7a30", "image_id": "L3-MazeLoop-test_7x7_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P61, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "P61", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "A91", "traversal_path": [{"identifier": "P61", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "A37", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "W17", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "U30", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "V61", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "R93", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "A91", "position": [2, 1], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_001.json"}} {"qa_id": "fce6bc0b00be47ea85e2cfd472fd8a8f", "image_id": "L3-MazeLoop-test_7x7_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B04, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "B04", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "A91", "traversal_path": [{"identifier": "B04", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "I87", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "S24", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "B18", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "K90", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "N00", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "A91", "position": [2, 1], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_001.json"}} {"qa_id": "2cf6558906a6435a84915da922ceb20d", "image_id": "L3-MazeLoop-test_7x7_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B18, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 30th position in this traversal?", "start_object_id": "B18", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [30], "ordinal_strings": ["30th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "A91", "traversal_path": [{"identifier": "B18", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "S24", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "I87", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "B04", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "B25", "position": [3, 5], "step": 4, "ordinal_position": 5}, {"identifier": "J37", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "Y21", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "P61", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "A37", "position": [5, 3], "step": 8, "ordinal_position": 9}, {"identifier": "W17", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "U30", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "V61", "position": [4, 1], "step": 11, "ordinal_position": 12}, {"identifier": "R93", "position": [3, 1], "step": 12, "ordinal_position": 13}, {"identifier": "A91", "position": [2, 1], "step": 13, "ordinal_position": 14}, {"identifier": "N00", "position": [1, 1], "step": 14, "ordinal_position": 15}, {"identifier": "K90", "position": [1, 2], "step": 15, "ordinal_position": 16}, {"identifier": "B18", "position": [1, 3], "step": 16, "ordinal_position": 17}, {"identifier": "S24", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "I87", "position": [1, 5], "step": 18, "ordinal_position": 19}, {"identifier": "B04", "position": [2, 5], "step": 19, "ordinal_position": 20}, {"identifier": "B25", "position": [3, 5], "step": 20, "ordinal_position": 21}, {"identifier": "J37", "position": [4, 5], "step": 21, "ordinal_position": 22}, {"identifier": "Y21", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "P61", "position": [5, 4], "step": 23, "ordinal_position": 24}, {"identifier": "A37", "position": [5, 3], "step": 24, "ordinal_position": 25}, {"identifier": "W17", "position": [5, 2], "step": 25, "ordinal_position": 26}, {"identifier": "U30", "position": [5, 1], "step": 26, "ordinal_position": 27}, {"identifier": "V61", "position": [4, 1], "step": 27, "ordinal_position": 28}, {"identifier": "R93", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "A91", "position": [2, 1], "step": 29, "ordinal_position": 30}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 30, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_001.json"}} {"qa_id": "f057ae05c7264ba98c59b45c8a34cad2", "image_id": "L3-MazeLoop-test_7x7_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P61, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 59th position in this traversal?", "start_object_id": "P61", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [59], "ordinal_strings": ["59th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "S24", "traversal_path": [{"identifier": "P61", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "A37", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "W17", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "U30", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "V61", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "R93", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "A91", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "N00", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "K90", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "B18", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "S24", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "I87", "position": [1, 5], "step": 11, "ordinal_position": 12}, {"identifier": "B04", "position": [2, 5], "step": 12, "ordinal_position": 13}, {"identifier": "B25", "position": [3, 5], "step": 13, "ordinal_position": 14}, {"identifier": "J37", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "Y21", "position": [5, 5], "step": 15, "ordinal_position": 16}, {"identifier": "P61", "position": [5, 4], "step": 16, "ordinal_position": 17}, {"identifier": "A37", "position": [5, 3], "step": 17, "ordinal_position": 18}, {"identifier": "W17", "position": [5, 2], "step": 18, "ordinal_position": 19}, {"identifier": "U30", "position": [5, 1], "step": 19, "ordinal_position": 20}, {"identifier": "V61", "position": [4, 1], "step": 20, "ordinal_position": 21}, {"identifier": "R93", "position": [3, 1], "step": 21, "ordinal_position": 22}, {"identifier": "A91", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "N00", "position": [1, 1], "step": 23, "ordinal_position": 24}, {"identifier": "K90", "position": [1, 2], "step": 24, "ordinal_position": 25}, {"identifier": "B18", "position": [1, 3], "step": 25, "ordinal_position": 26}, {"identifier": "S24", "position": [1, 4], "step": 26, "ordinal_position": 27}, {"identifier": "I87", "position": [1, 5], "step": 27, "ordinal_position": 28}, {"identifier": "B04", "position": [2, 5], "step": 28, "ordinal_position": 29}, {"identifier": "B25", "position": [3, 5], "step": 29, "ordinal_position": 30}, {"identifier": "J37", "position": [4, 5], "step": 30, "ordinal_position": 31}, {"identifier": "Y21", "position": [5, 5], "step": 31, "ordinal_position": 32}, {"identifier": "P61", "position": [5, 4], "step": 32, "ordinal_position": 33}, {"identifier": "A37", "position": [5, 3], "step": 33, "ordinal_position": 34}, {"identifier": "W17", "position": [5, 2], "step": 34, "ordinal_position": 35}, {"identifier": "U30", "position": [5, 1], "step": 35, "ordinal_position": 36}, {"identifier": "V61", "position": [4, 1], "step": 36, "ordinal_position": 37}, {"identifier": "R93", "position": [3, 1], "step": 37, "ordinal_position": 38}, {"identifier": "A91", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "N00", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "K90", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "B18", "position": [1, 3], "step": 41, "ordinal_position": 42}, {"identifier": "S24", "position": [1, 4], "step": 42, "ordinal_position": 43}, {"identifier": "I87", "position": [1, 5], "step": 43, "ordinal_position": 44}, {"identifier": "B04", "position": [2, 5], "step": 44, "ordinal_position": 45}, {"identifier": "B25", "position": [3, 5], "step": 45, "ordinal_position": 46}, {"identifier": "J37", "position": [4, 5], "step": 46, "ordinal_position": 47}, {"identifier": "Y21", "position": [5, 5], "step": 47, "ordinal_position": 48}, {"identifier": "P61", "position": [5, 4], "step": 48, "ordinal_position": 49}, {"identifier": "A37", "position": [5, 3], "step": 49, "ordinal_position": 50}, {"identifier": "W17", "position": [5, 2], "step": 50, "ordinal_position": 51}, {"identifier": "U30", "position": [5, 1], "step": 51, "ordinal_position": 52}, {"identifier": "V61", "position": [4, 1], "step": 52, "ordinal_position": 53}, {"identifier": "R93", "position": [3, 1], "step": 53, "ordinal_position": 54}, {"identifier": "A91", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "N00", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "K90", "position": [1, 2], "step": 56, "ordinal_position": 57}, {"identifier": "B18", "position": [1, 3], "step": 57, "ordinal_position": 58}, {"identifier": "S24", "position": [1, 4], "step": 58, "ordinal_position": 59}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 59, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_001.json"}} {"qa_id": "104fe3d2efee411d8d65d9fca55fcd64", "image_id": "L3-MazeLoop-test_7x7_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K90, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 22nd position in this traversal?", "start_object_id": "K90", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [22], "ordinal_strings": ["22nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "U30", "traversal_path": [{"identifier": "K90", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "N00", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "A91", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "R93", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "V61", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "U30", "position": [5, 1], "step": 5, "ordinal_position": 6}, {"identifier": "W17", "position": [5, 2], "step": 6, "ordinal_position": 7}, {"identifier": "A37", "position": [5, 3], "step": 7, "ordinal_position": 8}, {"identifier": "P61", "position": [5, 4], "step": 8, "ordinal_position": 9}, {"identifier": "Y21", "position": [5, 5], "step": 9, "ordinal_position": 10}, {"identifier": "J37", "position": [4, 5], "step": 10, "ordinal_position": 11}, {"identifier": "B25", "position": [3, 5], "step": 11, "ordinal_position": 12}, {"identifier": "B04", "position": [2, 5], "step": 12, "ordinal_position": 13}, {"identifier": "I87", "position": [1, 5], "step": 13, "ordinal_position": 14}, {"identifier": "S24", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "B18", "position": [1, 3], "step": 15, "ordinal_position": 16}, {"identifier": "K90", "position": [1, 2], "step": 16, "ordinal_position": 17}, {"identifier": "N00", "position": [1, 1], "step": 17, "ordinal_position": 18}, {"identifier": "A91", "position": [2, 1], "step": 18, "ordinal_position": 19}, {"identifier": "R93", "position": [3, 1], "step": 19, "ordinal_position": 20}, {"identifier": "V61", "position": [4, 1], "step": 20, "ordinal_position": 21}, {"identifier": "U30", "position": [5, 1], "step": 21, "ordinal_position": 22}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 22, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_001.json"}} {"qa_id": "8e8bdd2f679c4817826984a2a4546f81", "image_id": "L3-MazeLoop-test_7x7_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B25, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 36th position in this traversal?", "start_object_id": "B25", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [36], "ordinal_strings": ["36th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "P61", "traversal_path": [{"identifier": "B25", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "J37", "position": [4, 5], "step": 1, "ordinal_position": 2}, {"identifier": "Y21", "position": [5, 5], "step": 2, "ordinal_position": 3}, {"identifier": "P61", "position": [5, 4], "step": 3, "ordinal_position": 4}, {"identifier": "A37", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "W17", "position": [5, 2], "step": 5, "ordinal_position": 6}, {"identifier": "U30", "position": [5, 1], "step": 6, "ordinal_position": 7}, {"identifier": "V61", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "R93", "position": [3, 1], "step": 8, "ordinal_position": 9}, {"identifier": "A91", "position": [2, 1], "step": 9, "ordinal_position": 10}, {"identifier": "N00", "position": [1, 1], "step": 10, "ordinal_position": 11}, {"identifier": "K90", "position": [1, 2], "step": 11, "ordinal_position": 12}, {"identifier": "B18", "position": [1, 3], "step": 12, "ordinal_position": 13}, {"identifier": "S24", "position": [1, 4], "step": 13, "ordinal_position": 14}, {"identifier": "I87", "position": [1, 5], "step": 14, "ordinal_position": 15}, {"identifier": "B04", "position": [2, 5], "step": 15, "ordinal_position": 16}, {"identifier": "B25", "position": [3, 5], "step": 16, "ordinal_position": 17}, {"identifier": "J37", "position": [4, 5], "step": 17, "ordinal_position": 18}, {"identifier": "Y21", "position": [5, 5], "step": 18, "ordinal_position": 19}, {"identifier": "P61", "position": [5, 4], "step": 19, "ordinal_position": 20}, {"identifier": "A37", "position": [5, 3], "step": 20, "ordinal_position": 21}, {"identifier": "W17", "position": [5, 2], "step": 21, "ordinal_position": 22}, {"identifier": "U30", "position": [5, 1], "step": 22, "ordinal_position": 23}, {"identifier": "V61", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "R93", "position": [3, 1], "step": 24, "ordinal_position": 25}, {"identifier": "A91", "position": [2, 1], "step": 25, "ordinal_position": 26}, {"identifier": "N00", "position": [1, 1], "step": 26, "ordinal_position": 27}, {"identifier": "K90", "position": [1, 2], "step": 27, "ordinal_position": 28}, {"identifier": "B18", "position": [1, 3], "step": 28, "ordinal_position": 29}, {"identifier": "S24", "position": [1, 4], "step": 29, "ordinal_position": 30}, {"identifier": "I87", "position": [1, 5], "step": 30, "ordinal_position": 31}, {"identifier": "B04", "position": [2, 5], "step": 31, "ordinal_position": 32}, {"identifier": "B25", "position": [3, 5], "step": 32, "ordinal_position": 33}, {"identifier": "J37", "position": [4, 5], "step": 33, "ordinal_position": 34}, {"identifier": "Y21", "position": [5, 5], "step": 34, "ordinal_position": 35}, {"identifier": "P61", "position": [5, 4], "step": 35, "ordinal_position": 36}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 36, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_001.json"}} {"qa_id": "10a4a3e33ad941b0bdbd7f25bd6bdb50", "image_id": "L3-MazeLoop-test_7x7_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W17, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 22nd position in this traversal?", "start_object_id": "W17", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [22], "ordinal_strings": ["22nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "N00", "traversal_path": [{"identifier": "W17", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "U30", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "V61", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "R93", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "A91", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "N00", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "K90", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "B18", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "S24", "position": [1, 4], "step": 8, "ordinal_position": 9}, {"identifier": "I87", "position": [1, 5], "step": 9, "ordinal_position": 10}, {"identifier": "B04", "position": [2, 5], "step": 10, "ordinal_position": 11}, {"identifier": "B25", "position": [3, 5], "step": 11, "ordinal_position": 12}, {"identifier": "J37", "position": [4, 5], "step": 12, "ordinal_position": 13}, {"identifier": "Y21", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "P61", "position": [5, 4], "step": 14, "ordinal_position": 15}, {"identifier": "A37", "position": [5, 3], "step": 15, "ordinal_position": 16}, {"identifier": "W17", "position": [5, 2], "step": 16, "ordinal_position": 17}, {"identifier": "U30", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "V61", "position": [4, 1], "step": 18, "ordinal_position": 19}, {"identifier": "R93", "position": [3, 1], "step": 19, "ordinal_position": 20}, {"identifier": "A91", "position": [2, 1], "step": 20, "ordinal_position": 21}, {"identifier": "N00", "position": [1, 1], "step": 21, "ordinal_position": 22}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 22, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_001.json"}} {"qa_id": "b9ea0d3afd2440b484772db6343a9fd7", "image_id": "L3-MazeLoop-test_7x7_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B04, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 254th position in this traversal?", "start_object_id": "B04", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [254], "ordinal_strings": ["254th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "B18", "traversal_path": [{"identifier": "B04", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "B25", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "J37", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "Y21", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "P61", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "A37", "position": [5, 3], "step": 5, "ordinal_position": 6}, {"identifier": "W17", "position": [5, 2], "step": 6, "ordinal_position": 7}, {"identifier": "U30", "position": [5, 1], "step": 7, "ordinal_position": 8}, {"identifier": "V61", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "R93", "position": [3, 1], "step": 9, "ordinal_position": 10}, {"identifier": "A91", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "N00", "position": [1, 1], "step": 11, "ordinal_position": 12}, {"identifier": "K90", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "B18", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "S24", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "I87", "position": [1, 5], "step": 15, "ordinal_position": 16}, {"identifier": "B04", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "B25", "position": [3, 5], "step": 17, "ordinal_position": 18}, {"identifier": "J37", "position": [4, 5], "step": 18, "ordinal_position": 19}, {"identifier": "Y21", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "P61", "position": [5, 4], "step": 20, "ordinal_position": 21}, {"identifier": "A37", "position": [5, 3], "step": 21, "ordinal_position": 22}, {"identifier": "W17", "position": [5, 2], "step": 22, "ordinal_position": 23}, {"identifier": "U30", "position": [5, 1], "step": 23, "ordinal_position": 24}, {"identifier": "V61", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "R93", "position": [3, 1], "step": 25, "ordinal_position": 26}, {"identifier": "A91", "position": [2, 1], "step": 26, "ordinal_position": 27}, {"identifier": "N00", "position": [1, 1], "step": 27, "ordinal_position": 28}, {"identifier": "K90", "position": [1, 2], "step": 28, "ordinal_position": 29}, {"identifier": "B18", "position": [1, 3], "step": 29, "ordinal_position": 30}, {"identifier": "S24", "position": [1, 4], "step": 30, "ordinal_position": 31}, {"identifier": "I87", "position": [1, 5], "step": 31, "ordinal_position": 32}, {"identifier": "B04", "position": [2, 5], "step": 32, "ordinal_position": 33}, {"identifier": "B25", "position": [3, 5], "step": 33, "ordinal_position": 34}, {"identifier": "J37", "position": [4, 5], "step": 34, "ordinal_position": 35}, {"identifier": "Y21", "position": [5, 5], "step": 35, "ordinal_position": 36}, {"identifier": "P61", "position": [5, 4], "step": 36, "ordinal_position": 37}, {"identifier": "A37", "position": [5, 3], "step": 37, "ordinal_position": 38}, {"identifier": "W17", "position": [5, 2], "step": 38, "ordinal_position": 39}, {"identifier": "U30", "position": [5, 1], "step": 39, "ordinal_position": 40}, {"identifier": "V61", "position": [4, 1], "step": 40, "ordinal_position": 41}, {"identifier": "R93", "position": [3, 1], "step": 41, "ordinal_position": 42}, {"identifier": "A91", "position": [2, 1], "step": 42, "ordinal_position": 43}, {"identifier": "N00", "position": [1, 1], "step": 43, "ordinal_position": 44}, {"identifier": "K90", "position": [1, 2], "step": 44, "ordinal_position": 45}, {"identifier": "B18", "position": [1, 3], "step": 45, "ordinal_position": 46}, {"identifier": "S24", "position": [1, 4], "step": 46, "ordinal_position": 47}, {"identifier": "I87", "position": [1, 5], "step": 47, "ordinal_position": 48}, {"identifier": "B04", "position": [2, 5], "step": 48, "ordinal_position": 49}, {"identifier": "B25", "position": [3, 5], "step": 49, "ordinal_position": 50}, {"identifier": "J37", "position": [4, 5], "step": 50, "ordinal_position": 51}, {"identifier": "Y21", "position": [5, 5], "step": 51, "ordinal_position": 52}, {"identifier": "P61", "position": [5, 4], "step": 52, "ordinal_position": 53}, {"identifier": "A37", "position": [5, 3], "step": 53, "ordinal_position": 54}, {"identifier": "W17", "position": [5, 2], "step": 54, "ordinal_position": 55}, {"identifier": "U30", "position": [5, 1], "step": 55, "ordinal_position": 56}, {"identifier": "V61", "position": [4, 1], "step": 56, "ordinal_position": 57}, {"identifier": "R93", "position": [3, 1], "step": 57, "ordinal_position": 58}, {"identifier": "A91", "position": [2, 1], "step": 58, "ordinal_position": 59}, {"identifier": "N00", "position": [1, 1], "step": 59, "ordinal_position": 60}, {"identifier": "K90", "position": [1, 2], "step": 60, "ordinal_position": 61}, {"identifier": "B18", "position": [1, 3], "step": 61, "ordinal_position": 62}, {"identifier": "S24", "position": [1, 4], "step": 62, "ordinal_position": 63}, {"identifier": "I87", "position": [1, 5], "step": 63, "ordinal_position": 64}, {"identifier": "B04", "position": [2, 5], "step": 64, "ordinal_position": 65}, {"identifier": "B25", "position": [3, 5], "step": 65, "ordinal_position": 66}, {"identifier": "J37", "position": [4, 5], "step": 66, "ordinal_position": 67}, {"identifier": "Y21", "position": [5, 5], "step": 67, "ordinal_position": 68}, {"identifier": "P61", "position": [5, 4], "step": 68, "ordinal_position": 69}, {"identifier": "A37", "position": [5, 3], "step": 69, "ordinal_position": 70}, {"identifier": "W17", "position": [5, 2], "step": 70, "ordinal_position": 71}, {"identifier": "U30", "position": [5, 1], "step": 71, "ordinal_position": 72}, {"identifier": "V61", "position": [4, 1], "step": 72, "ordinal_position": 73}, {"identifier": "R93", "position": [3, 1], "step": 73, "ordinal_position": 74}, {"identifier": "A91", "position": [2, 1], "step": 74, "ordinal_position": 75}, {"identifier": "N00", "position": [1, 1], "step": 75, "ordinal_position": 76}, {"identifier": "K90", "position": [1, 2], "step": 76, "ordinal_position": 77}, {"identifier": "B18", "position": [1, 3], "step": 77, "ordinal_position": 78}, {"identifier": "S24", "position": [1, 4], "step": 78, "ordinal_position": 79}, {"identifier": "I87", "position": [1, 5], "step": 79, "ordinal_position": 80}, {"identifier": "B04", "position": [2, 5], "step": 80, "ordinal_position": 81}, {"identifier": "B25", "position": [3, 5], "step": 81, "ordinal_position": 82}, {"identifier": "J37", "position": [4, 5], "step": 82, "ordinal_position": 83}, {"identifier": "Y21", "position": [5, 5], "step": 83, "ordinal_position": 84}, {"identifier": "P61", "position": [5, 4], "step": 84, "ordinal_position": 85}, {"identifier": "A37", "position": [5, 3], "step": 85, "ordinal_position": 86}, {"identifier": "W17", "position": [5, 2], "step": 86, "ordinal_position": 87}, {"identifier": "U30", "position": [5, 1], "step": 87, "ordinal_position": 88}, {"identifier": "V61", "position": [4, 1], "step": 88, "ordinal_position": 89}, {"identifier": "R93", "position": [3, 1], "step": 89, "ordinal_position": 90}, {"identifier": "A91", "position": [2, 1], "step": 90, "ordinal_position": 91}, {"identifier": "N00", "position": [1, 1], "step": 91, "ordinal_position": 92}, {"identifier": "K90", "position": [1, 2], "step": 92, "ordinal_position": 93}, {"identifier": "B18", "position": [1, 3], "step": 93, "ordinal_position": 94}, {"identifier": "S24", "position": [1, 4], "step": 94, "ordinal_position": 95}, {"identifier": "I87", "position": [1, 5], "step": 95, "ordinal_position": 96}, {"identifier": "B04", "position": [2, 5], "step": 96, "ordinal_position": 97}, {"identifier": "B25", "position": [3, 5], "step": 97, "ordinal_position": 98}, {"identifier": "J37", "position": [4, 5], "step": 98, "ordinal_position": 99}, {"identifier": "Y21", "position": [5, 5], "step": 99, "ordinal_position": 100}, {"identifier": "P61", "position": [5, 4], "step": 100, "ordinal_position": 101}, {"identifier": "A37", "position": [5, 3], "step": 101, "ordinal_position": 102}, {"identifier": "W17", "position": [5, 2], "step": 102, "ordinal_position": 103}, {"identifier": "U30", "position": [5, 1], "step": 103, "ordinal_position": 104}, {"identifier": "V61", "position": [4, 1], "step": 104, "ordinal_position": 105}, {"identifier": "R93", "position": [3, 1], "step": 105, "ordinal_position": 106}, {"identifier": "A91", "position": [2, 1], "step": 106, "ordinal_position": 107}, {"identifier": "N00", "position": [1, 1], "step": 107, "ordinal_position": 108}, {"identifier": "K90", "position": [1, 2], "step": 108, "ordinal_position": 109}, {"identifier": "B18", "position": [1, 3], "step": 109, "ordinal_position": 110}, {"identifier": "S24", "position": [1, 4], "step": 110, "ordinal_position": 111}, {"identifier": "I87", "position": [1, 5], "step": 111, "ordinal_position": 112}, {"identifier": "B04", "position": [2, 5], "step": 112, "ordinal_position": 113}, {"identifier": "B25", "position": [3, 5], "step": 113, "ordinal_position": 114}, {"identifier": "J37", "position": [4, 5], "step": 114, "ordinal_position": 115}, {"identifier": "Y21", "position": [5, 5], "step": 115, "ordinal_position": 116}, {"identifier": "P61", "position": [5, 4], "step": 116, "ordinal_position": 117}, {"identifier": "A37", "position": [5, 3], "step": 117, "ordinal_position": 118}, {"identifier": "W17", "position": [5, 2], "step": 118, "ordinal_position": 119}, {"identifier": "U30", "position": [5, 1], "step": 119, "ordinal_position": 120}, {"identifier": "V61", "position": [4, 1], "step": 120, "ordinal_position": 121}, {"identifier": "R93", "position": [3, 1], "step": 121, "ordinal_position": 122}, {"identifier": "A91", "position": [2, 1], "step": 122, "ordinal_position": 123}, {"identifier": "N00", "position": [1, 1], "step": 123, "ordinal_position": 124}, {"identifier": "K90", "position": [1, 2], "step": 124, "ordinal_position": 125}, {"identifier": "B18", "position": [1, 3], "step": 125, "ordinal_position": 126}, {"identifier": "S24", "position": [1, 4], "step": 126, "ordinal_position": 127}, {"identifier": "I87", "position": [1, 5], "step": 127, "ordinal_position": 128}, {"identifier": "B04", "position": [2, 5], "step": 128, "ordinal_position": 129}, {"identifier": "B25", "position": [3, 5], "step": 129, "ordinal_position": 130}, {"identifier": "J37", "position": [4, 5], "step": 130, "ordinal_position": 131}, {"identifier": "Y21", "position": [5, 5], "step": 131, "ordinal_position": 132}, {"identifier": "P61", "position": [5, 4], "step": 132, "ordinal_position": 133}, {"identifier": "A37", "position": [5, 3], "step": 133, "ordinal_position": 134}, {"identifier": "W17", "position": [5, 2], "step": 134, "ordinal_position": 135}, {"identifier": "U30", "position": [5, 1], "step": 135, "ordinal_position": 136}, {"identifier": "V61", "position": [4, 1], "step": 136, "ordinal_position": 137}, {"identifier": "R93", "position": [3, 1], "step": 137, "ordinal_position": 138}, {"identifier": "A91", "position": [2, 1], "step": 138, "ordinal_position": 139}, {"identifier": "N00", "position": [1, 1], "step": 139, "ordinal_position": 140}, {"identifier": "K90", "position": [1, 2], "step": 140, "ordinal_position": 141}, {"identifier": "B18", "position": [1, 3], "step": 141, "ordinal_position": 142}, {"identifier": "S24", "position": [1, 4], "step": 142, "ordinal_position": 143}, {"identifier": "I87", "position": [1, 5], "step": 143, "ordinal_position": 144}, {"identifier": "B04", "position": [2, 5], "step": 144, "ordinal_position": 145}, {"identifier": "B25", "position": [3, 5], "step": 145, "ordinal_position": 146}, {"identifier": "J37", "position": [4, 5], "step": 146, "ordinal_position": 147}, {"identifier": "Y21", "position": [5, 5], "step": 147, "ordinal_position": 148}, {"identifier": "P61", "position": [5, 4], "step": 148, "ordinal_position": 149}, {"identifier": "A37", "position": [5, 3], "step": 149, "ordinal_position": 150}, {"identifier": "W17", "position": [5, 2], "step": 150, "ordinal_position": 151}, {"identifier": "U30", "position": [5, 1], "step": 151, "ordinal_position": 152}, {"identifier": "V61", "position": [4, 1], "step": 152, "ordinal_position": 153}, {"identifier": "R93", "position": [3, 1], "step": 153, "ordinal_position": 154}, {"identifier": "A91", "position": [2, 1], "step": 154, "ordinal_position": 155}, {"identifier": "N00", "position": [1, 1], "step": 155, "ordinal_position": 156}, {"identifier": "K90", "position": [1, 2], "step": 156, "ordinal_position": 157}, {"identifier": "B18", "position": [1, 3], "step": 157, "ordinal_position": 158}, {"identifier": "S24", "position": [1, 4], "step": 158, "ordinal_position": 159}, {"identifier": "I87", "position": [1, 5], "step": 159, "ordinal_position": 160}, {"identifier": "B04", "position": [2, 5], "step": 160, "ordinal_position": 161}, {"identifier": "B25", "position": [3, 5], "step": 161, "ordinal_position": 162}, {"identifier": "J37", "position": [4, 5], "step": 162, "ordinal_position": 163}, {"identifier": "Y21", "position": [5, 5], "step": 163, "ordinal_position": 164}, {"identifier": "P61", "position": [5, 4], "step": 164, "ordinal_position": 165}, {"identifier": "A37", "position": [5, 3], "step": 165, "ordinal_position": 166}, {"identifier": "W17", "position": [5, 2], "step": 166, "ordinal_position": 167}, {"identifier": "U30", "position": [5, 1], "step": 167, "ordinal_position": 168}, {"identifier": "V61", "position": [4, 1], "step": 168, "ordinal_position": 169}, {"identifier": "R93", "position": [3, 1], "step": 169, "ordinal_position": 170}, {"identifier": "A91", "position": [2, 1], "step": 170, "ordinal_position": 171}, {"identifier": "N00", "position": [1, 1], "step": 171, "ordinal_position": 172}, {"identifier": "K90", "position": [1, 2], "step": 172, "ordinal_position": 173}, {"identifier": "B18", "position": [1, 3], "step": 173, "ordinal_position": 174}, {"identifier": "S24", "position": [1, 4], "step": 174, "ordinal_position": 175}, {"identifier": "I87", "position": [1, 5], "step": 175, "ordinal_position": 176}, {"identifier": "B04", "position": [2, 5], "step": 176, "ordinal_position": 177}, {"identifier": "B25", "position": [3, 5], "step": 177, "ordinal_position": 178}, {"identifier": "J37", "position": [4, 5], "step": 178, "ordinal_position": 179}, {"identifier": "Y21", "position": [5, 5], "step": 179, "ordinal_position": 180}, {"identifier": "P61", "position": [5, 4], "step": 180, "ordinal_position": 181}, {"identifier": "A37", "position": [5, 3], "step": 181, "ordinal_position": 182}, {"identifier": "W17", "position": [5, 2], "step": 182, "ordinal_position": 183}, {"identifier": "U30", "position": [5, 1], "step": 183, "ordinal_position": 184}, {"identifier": "V61", "position": [4, 1], "step": 184, "ordinal_position": 185}, {"identifier": "R93", "position": [3, 1], "step": 185, "ordinal_position": 186}, {"identifier": "A91", "position": [2, 1], "step": 186, "ordinal_position": 187}, {"identifier": "N00", "position": [1, 1], "step": 187, "ordinal_position": 188}, {"identifier": "K90", "position": [1, 2], "step": 188, "ordinal_position": 189}, {"identifier": "B18", "position": [1, 3], "step": 189, "ordinal_position": 190}, {"identifier": "S24", "position": [1, 4], "step": 190, "ordinal_position": 191}, {"identifier": "I87", "position": [1, 5], "step": 191, "ordinal_position": 192}, {"identifier": "B04", "position": [2, 5], "step": 192, "ordinal_position": 193}, {"identifier": "B25", "position": [3, 5], "step": 193, "ordinal_position": 194}, {"identifier": "J37", "position": [4, 5], "step": 194, "ordinal_position": 195}, {"identifier": "Y21", "position": [5, 5], "step": 195, "ordinal_position": 196}, {"identifier": "P61", "position": [5, 4], "step": 196, "ordinal_position": 197}, {"identifier": "A37", "position": [5, 3], "step": 197, "ordinal_position": 198}, {"identifier": "W17", "position": [5, 2], "step": 198, "ordinal_position": 199}, {"identifier": "U30", "position": [5, 1], "step": 199, "ordinal_position": 200}, {"identifier": "V61", "position": [4, 1], "step": 200, "ordinal_position": 201}, {"identifier": "R93", "position": [3, 1], "step": 201, "ordinal_position": 202}, {"identifier": "A91", "position": [2, 1], "step": 202, "ordinal_position": 203}, {"identifier": "N00", "position": [1, 1], "step": 203, "ordinal_position": 204}, {"identifier": "K90", "position": [1, 2], "step": 204, "ordinal_position": 205}, {"identifier": "B18", "position": [1, 3], "step": 205, "ordinal_position": 206}, {"identifier": "S24", "position": [1, 4], "step": 206, "ordinal_position": 207}, {"identifier": "I87", "position": [1, 5], "step": 207, "ordinal_position": 208}, {"identifier": "B04", "position": [2, 5], "step": 208, "ordinal_position": 209}, {"identifier": "B25", "position": [3, 5], "step": 209, "ordinal_position": 210}, {"identifier": "J37", "position": [4, 5], "step": 210, "ordinal_position": 211}, {"identifier": "Y21", "position": [5, 5], "step": 211, "ordinal_position": 212}, {"identifier": "P61", "position": [5, 4], "step": 212, "ordinal_position": 213}, {"identifier": "A37", "position": [5, 3], "step": 213, "ordinal_position": 214}, {"identifier": "W17", "position": [5, 2], "step": 214, "ordinal_position": 215}, {"identifier": "U30", "position": [5, 1], "step": 215, "ordinal_position": 216}, {"identifier": "V61", "position": [4, 1], "step": 216, "ordinal_position": 217}, {"identifier": "R93", "position": [3, 1], "step": 217, "ordinal_position": 218}, {"identifier": "A91", "position": [2, 1], "step": 218, "ordinal_position": 219}, {"identifier": "N00", "position": [1, 1], "step": 219, "ordinal_position": 220}, {"identifier": "K90", "position": [1, 2], "step": 220, "ordinal_position": 221}, {"identifier": "B18", "position": [1, 3], "step": 221, "ordinal_position": 222}, {"identifier": "S24", "position": [1, 4], "step": 222, "ordinal_position": 223}, {"identifier": "I87", "position": [1, 5], "step": 223, "ordinal_position": 224}, {"identifier": "B04", "position": [2, 5], "step": 224, "ordinal_position": 225}, {"identifier": "B25", "position": [3, 5], "step": 225, "ordinal_position": 226}, {"identifier": "J37", "position": [4, 5], "step": 226, "ordinal_position": 227}, {"identifier": "Y21", "position": [5, 5], "step": 227, "ordinal_position": 228}, {"identifier": "P61", "position": [5, 4], "step": 228, "ordinal_position": 229}, {"identifier": "A37", "position": [5, 3], "step": 229, "ordinal_position": 230}, {"identifier": "W17", "position": [5, 2], "step": 230, "ordinal_position": 231}, {"identifier": "U30", "position": [5, 1], "step": 231, "ordinal_position": 232}, {"identifier": "V61", "position": [4, 1], "step": 232, "ordinal_position": 233}, {"identifier": "R93", "position": [3, 1], "step": 233, "ordinal_position": 234}, {"identifier": "A91", "position": [2, 1], "step": 234, "ordinal_position": 235}, {"identifier": "N00", "position": [1, 1], "step": 235, "ordinal_position": 236}, {"identifier": "K90", "position": [1, 2], "step": 236, "ordinal_position": 237}, {"identifier": "B18", "position": [1, 3], "step": 237, "ordinal_position": 238}, {"identifier": "S24", "position": [1, 4], "step": 238, "ordinal_position": 239}, {"identifier": "I87", "position": [1, 5], "step": 239, "ordinal_position": 240}, {"identifier": "B04", "position": [2, 5], "step": 240, "ordinal_position": 241}, {"identifier": "B25", "position": [3, 5], "step": 241, "ordinal_position": 242}, {"identifier": "J37", "position": [4, 5], "step": 242, "ordinal_position": 243}, {"identifier": "Y21", "position": [5, 5], "step": 243, "ordinal_position": 244}, {"identifier": "P61", "position": [5, 4], "step": 244, "ordinal_position": 245}, {"identifier": "A37", "position": [5, 3], "step": 245, "ordinal_position": 246}, {"identifier": "W17", "position": [5, 2], "step": 246, "ordinal_position": 247}, {"identifier": "U30", "position": [5, 1], "step": 247, "ordinal_position": 248}, {"identifier": "V61", "position": [4, 1], "step": 248, "ordinal_position": 249}, {"identifier": "R93", "position": [3, 1], "step": 249, "ordinal_position": 250}, {"identifier": "A91", "position": [2, 1], "step": 250, "ordinal_position": 251}, {"identifier": "N00", "position": [1, 1], "step": 251, "ordinal_position": 252}, {"identifier": "K90", "position": [1, 2], "step": 252, "ordinal_position": 253}, {"identifier": "B18", "position": [1, 3], "step": 253, "ordinal_position": 254}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 254, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_001.json"}} {"qa_id": "cf00fd907b0d491fb0c457e35116d3f1", "image_id": "L3-MazeLoop-test_7x7_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J08, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 119th position in this traversal?", "start_object_id": "J08", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [119], "ordinal_strings": ["119th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "R93", "traversal_path": [{"identifier": "J08", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "E18", "position": [4, 3], "step": 1, "ordinal_position": 2}, {"identifier": "A37", "position": [5, 3], "step": 2, "ordinal_position": 3}, {"identifier": "W17", "position": [5, 2], "step": 3, "ordinal_position": 4}, {"identifier": "U30", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "V61", "position": [4, 1], "step": 5, "ordinal_position": 6}, {"identifier": "R93", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "A91", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "N00", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "K90", "position": [1, 2], "step": 9, "ordinal_position": 10}, {"identifier": "B18", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "S24", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "I87", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "B04", "position": [2, 5], "step": 13, "ordinal_position": 14}, {"identifier": "B25", "position": [3, 5], "step": 14, "ordinal_position": 15}, {"identifier": "J37", "position": [4, 5], "step": 15, "ordinal_position": 16}, {"identifier": "Y21", "position": [5, 5], "step": 16, "ordinal_position": 17}, {"identifier": "P61", "position": [5, 4], "step": 17, "ordinal_position": 18}, {"identifier": "A37", "position": [5, 3], "step": 18, "ordinal_position": 19}, {"identifier": "W17", "position": [5, 2], "step": 19, "ordinal_position": 20}, {"identifier": "U30", "position": [5, 1], "step": 20, "ordinal_position": 21}, {"identifier": "V61", "position": [4, 1], "step": 21, "ordinal_position": 22}, {"identifier": "R93", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "A91", "position": [2, 1], "step": 23, "ordinal_position": 24}, {"identifier": "N00", "position": [1, 1], "step": 24, "ordinal_position": 25}, {"identifier": "K90", "position": [1, 2], "step": 25, "ordinal_position": 26}, {"identifier": "B18", "position": [1, 3], "step": 26, "ordinal_position": 27}, {"identifier": "S24", "position": [1, 4], "step": 27, "ordinal_position": 28}, {"identifier": "I87", "position": [1, 5], "step": 28, "ordinal_position": 29}, {"identifier": "B04", "position": [2, 5], "step": 29, "ordinal_position": 30}, {"identifier": "B25", "position": [3, 5], "step": 30, "ordinal_position": 31}, {"identifier": "J37", "position": [4, 5], "step": 31, "ordinal_position": 32}, {"identifier": "Y21", "position": [5, 5], "step": 32, "ordinal_position": 33}, {"identifier": "P61", "position": [5, 4], "step": 33, "ordinal_position": 34}, {"identifier": "A37", "position": [5, 3], "step": 34, "ordinal_position": 35}, {"identifier": "W17", "position": [5, 2], "step": 35, "ordinal_position": 36}, {"identifier": "U30", "position": [5, 1], "step": 36, "ordinal_position": 37}, {"identifier": "V61", "position": [4, 1], "step": 37, "ordinal_position": 38}, {"identifier": "R93", "position": [3, 1], "step": 38, "ordinal_position": 39}, {"identifier": "A91", "position": [2, 1], "step": 39, "ordinal_position": 40}, {"identifier": "N00", "position": [1, 1], "step": 40, "ordinal_position": 41}, {"identifier": "K90", "position": [1, 2], "step": 41, "ordinal_position": 42}, {"identifier": "B18", "position": [1, 3], "step": 42, "ordinal_position": 43}, {"identifier": "S24", "position": [1, 4], "step": 43, "ordinal_position": 44}, {"identifier": "I87", "position": [1, 5], "step": 44, "ordinal_position": 45}, {"identifier": "B04", "position": [2, 5], "step": 45, "ordinal_position": 46}, {"identifier": "B25", "position": [3, 5], "step": 46, "ordinal_position": 47}, {"identifier": "J37", "position": [4, 5], "step": 47, "ordinal_position": 48}, {"identifier": "Y21", "position": [5, 5], "step": 48, "ordinal_position": 49}, {"identifier": "P61", "position": [5, 4], "step": 49, "ordinal_position": 50}, {"identifier": "A37", "position": [5, 3], "step": 50, "ordinal_position": 51}, {"identifier": "W17", "position": [5, 2], "step": 51, "ordinal_position": 52}, {"identifier": "U30", "position": [5, 1], "step": 52, "ordinal_position": 53}, {"identifier": "V61", "position": [4, 1], "step": 53, "ordinal_position": 54}, {"identifier": "R93", "position": [3, 1], "step": 54, "ordinal_position": 55}, {"identifier": "A91", "position": [2, 1], "step": 55, "ordinal_position": 56}, {"identifier": "N00", "position": [1, 1], "step": 56, "ordinal_position": 57}, {"identifier": "K90", "position": [1, 2], "step": 57, "ordinal_position": 58}, {"identifier": "B18", "position": [1, 3], "step": 58, "ordinal_position": 59}, {"identifier": "S24", "position": [1, 4], "step": 59, "ordinal_position": 60}, {"identifier": "I87", "position": [1, 5], "step": 60, "ordinal_position": 61}, {"identifier": "B04", "position": [2, 5], "step": 61, "ordinal_position": 62}, {"identifier": "B25", "position": [3, 5], "step": 62, "ordinal_position": 63}, {"identifier": "J37", "position": [4, 5], "step": 63, "ordinal_position": 64}, {"identifier": "Y21", "position": [5, 5], "step": 64, "ordinal_position": 65}, {"identifier": "P61", "position": [5, 4], "step": 65, "ordinal_position": 66}, {"identifier": "A37", "position": [5, 3], "step": 66, "ordinal_position": 67}, {"identifier": "W17", "position": [5, 2], "step": 67, "ordinal_position": 68}, {"identifier": "U30", "position": [5, 1], "step": 68, "ordinal_position": 69}, {"identifier": "V61", "position": [4, 1], "step": 69, "ordinal_position": 70}, {"identifier": "R93", "position": [3, 1], "step": 70, "ordinal_position": 71}, {"identifier": "A91", "position": [2, 1], "step": 71, "ordinal_position": 72}, {"identifier": "N00", "position": [1, 1], "step": 72, "ordinal_position": 73}, {"identifier": "K90", "position": [1, 2], "step": 73, "ordinal_position": 74}, {"identifier": "B18", "position": [1, 3], "step": 74, "ordinal_position": 75}, {"identifier": "S24", "position": [1, 4], "step": 75, "ordinal_position": 76}, {"identifier": "I87", "position": [1, 5], "step": 76, "ordinal_position": 77}, {"identifier": "B04", "position": [2, 5], "step": 77, "ordinal_position": 78}, {"identifier": "B25", "position": [3, 5], "step": 78, "ordinal_position": 79}, {"identifier": "J37", "position": [4, 5], "step": 79, "ordinal_position": 80}, {"identifier": "Y21", "position": [5, 5], "step": 80, "ordinal_position": 81}, {"identifier": "P61", "position": [5, 4], "step": 81, "ordinal_position": 82}, {"identifier": "A37", "position": [5, 3], "step": 82, "ordinal_position": 83}, {"identifier": "W17", "position": [5, 2], "step": 83, "ordinal_position": 84}, {"identifier": "U30", "position": [5, 1], "step": 84, "ordinal_position": 85}, {"identifier": "V61", "position": [4, 1], "step": 85, "ordinal_position": 86}, {"identifier": "R93", "position": [3, 1], "step": 86, "ordinal_position": 87}, {"identifier": "A91", "position": [2, 1], "step": 87, "ordinal_position": 88}, {"identifier": "N00", "position": [1, 1], "step": 88, "ordinal_position": 89}, {"identifier": "K90", "position": [1, 2], "step": 89, "ordinal_position": 90}, {"identifier": "B18", "position": [1, 3], "step": 90, "ordinal_position": 91}, {"identifier": "S24", "position": [1, 4], "step": 91, "ordinal_position": 92}, {"identifier": "I87", "position": [1, 5], "step": 92, "ordinal_position": 93}, {"identifier": "B04", "position": [2, 5], "step": 93, "ordinal_position": 94}, {"identifier": "B25", "position": [3, 5], "step": 94, "ordinal_position": 95}, {"identifier": "J37", "position": [4, 5], "step": 95, "ordinal_position": 96}, {"identifier": "Y21", "position": [5, 5], "step": 96, "ordinal_position": 97}, {"identifier": "P61", "position": [5, 4], "step": 97, "ordinal_position": 98}, {"identifier": "A37", "position": [5, 3], "step": 98, "ordinal_position": 99}, {"identifier": "W17", "position": [5, 2], "step": 99, "ordinal_position": 100}, {"identifier": "U30", "position": [5, 1], "step": 100, "ordinal_position": 101}, {"identifier": "V61", "position": [4, 1], "step": 101, "ordinal_position": 102}, {"identifier": "R93", "position": [3, 1], "step": 102, "ordinal_position": 103}, {"identifier": "A91", "position": [2, 1], "step": 103, "ordinal_position": 104}, {"identifier": "N00", "position": [1, 1], "step": 104, "ordinal_position": 105}, {"identifier": "K90", "position": [1, 2], "step": 105, "ordinal_position": 106}, {"identifier": "B18", "position": [1, 3], "step": 106, "ordinal_position": 107}, {"identifier": "S24", "position": [1, 4], "step": 107, "ordinal_position": 108}, {"identifier": "I87", "position": [1, 5], "step": 108, "ordinal_position": 109}, {"identifier": "B04", "position": [2, 5], "step": 109, "ordinal_position": 110}, {"identifier": "B25", "position": [3, 5], "step": 110, "ordinal_position": 111}, {"identifier": "J37", "position": [4, 5], "step": 111, "ordinal_position": 112}, {"identifier": "Y21", "position": [5, 5], "step": 112, "ordinal_position": 113}, {"identifier": "P61", "position": [5, 4], "step": 113, "ordinal_position": 114}, {"identifier": "A37", "position": [5, 3], "step": 114, "ordinal_position": 115}, {"identifier": "W17", "position": [5, 2], "step": 115, "ordinal_position": 116}, {"identifier": "U30", "position": [5, 1], "step": 116, "ordinal_position": 117}, {"identifier": "V61", "position": [4, 1], "step": 117, "ordinal_position": 118}, {"identifier": "R93", "position": [3, 1], "step": 118, "ordinal_position": 119}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 119, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_001.json"}} {"qa_id": "d3047268e3564b989b32e6acbf51b4e3", "image_id": "L3-MazeLoop-test_7x7_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R28, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 226th position in this traversal?", "start_object_id": "R28", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [226], "ordinal_strings": ["226th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "B25", "traversal_path": [{"identifier": "R28", "position": [3, 4], "step": 0, "ordinal_position": 1}, {"identifier": "B25", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "B04", "position": [2, 5], "step": 2, "ordinal_position": 3}, {"identifier": "I87", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "S24", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "B18", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "K90", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "N00", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "A91", "position": [2, 1], "step": 8, "ordinal_position": 9}, {"identifier": "R93", "position": [3, 1], "step": 9, "ordinal_position": 10}, {"identifier": "V61", "position": [4, 1], "step": 10, "ordinal_position": 11}, {"identifier": "U30", "position": [5, 1], "step": 11, "ordinal_position": 12}, {"identifier": "W17", "position": [5, 2], "step": 12, "ordinal_position": 13}, {"identifier": "A37", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "P61", "position": [5, 4], "step": 14, "ordinal_position": 15}, {"identifier": "Y21", "position": [5, 5], "step": 15, "ordinal_position": 16}, {"identifier": "J37", "position": [4, 5], "step": 16, "ordinal_position": 17}, {"identifier": "B25", "position": [3, 5], "step": 17, "ordinal_position": 18}, {"identifier": "B04", "position": [2, 5], "step": 18, "ordinal_position": 19}, {"identifier": "I87", "position": [1, 5], "step": 19, "ordinal_position": 20}, {"identifier": "S24", "position": [1, 4], "step": 20, "ordinal_position": 21}, {"identifier": "B18", "position": [1, 3], "step": 21, "ordinal_position": 22}, {"identifier": "K90", "position": [1, 2], "step": 22, "ordinal_position": 23}, {"identifier": "N00", "position": [1, 1], "step": 23, "ordinal_position": 24}, {"identifier": "A91", "position": [2, 1], "step": 24, "ordinal_position": 25}, {"identifier": "R93", "position": [3, 1], "step": 25, "ordinal_position": 26}, {"identifier": "V61", "position": [4, 1], "step": 26, "ordinal_position": 27}, {"identifier": "U30", "position": [5, 1], "step": 27, "ordinal_position": 28}, {"identifier": "W17", "position": [5, 2], "step": 28, "ordinal_position": 29}, {"identifier": "A37", "position": [5, 3], "step": 29, "ordinal_position": 30}, {"identifier": "P61", "position": [5, 4], "step": 30, "ordinal_position": 31}, {"identifier": "Y21", "position": [5, 5], "step": 31, "ordinal_position": 32}, {"identifier": "J37", "position": [4, 5], "step": 32, "ordinal_position": 33}, {"identifier": "B25", "position": [3, 5], "step": 33, "ordinal_position": 34}, {"identifier": "B04", "position": [2, 5], "step": 34, "ordinal_position": 35}, {"identifier": "I87", "position": [1, 5], "step": 35, "ordinal_position": 36}, {"identifier": "S24", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "B18", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "K90", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "N00", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "A91", "position": [2, 1], "step": 40, "ordinal_position": 41}, {"identifier": "R93", "position": [3, 1], "step": 41, "ordinal_position": 42}, {"identifier": "V61", "position": [4, 1], "step": 42, "ordinal_position": 43}, {"identifier": "U30", "position": [5, 1], "step": 43, "ordinal_position": 44}, {"identifier": "W17", "position": [5, 2], "step": 44, "ordinal_position": 45}, {"identifier": "A37", "position": [5, 3], "step": 45, "ordinal_position": 46}, {"identifier": "P61", "position": [5, 4], "step": 46, "ordinal_position": 47}, {"identifier": "Y21", "position": [5, 5], "step": 47, "ordinal_position": 48}, {"identifier": "J37", "position": [4, 5], "step": 48, "ordinal_position": 49}, {"identifier": "B25", "position": [3, 5], "step": 49, "ordinal_position": 50}, {"identifier": "B04", "position": [2, 5], "step": 50, "ordinal_position": 51}, {"identifier": "I87", "position": [1, 5], "step": 51, "ordinal_position": 52}, {"identifier": "S24", "position": [1, 4], "step": 52, "ordinal_position": 53}, {"identifier": "B18", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "K90", "position": [1, 2], "step": 54, "ordinal_position": 55}, {"identifier": "N00", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "A91", "position": [2, 1], "step": 56, "ordinal_position": 57}, {"identifier": "R93", "position": [3, 1], "step": 57, "ordinal_position": 58}, {"identifier": "V61", "position": [4, 1], "step": 58, "ordinal_position": 59}, {"identifier": "U30", "position": [5, 1], "step": 59, "ordinal_position": 60}, {"identifier": "W17", "position": [5, 2], "step": 60, "ordinal_position": 61}, {"identifier": "A37", "position": [5, 3], "step": 61, "ordinal_position": 62}, {"identifier": "P61", "position": [5, 4], "step": 62, "ordinal_position": 63}, {"identifier": "Y21", "position": [5, 5], "step": 63, "ordinal_position": 64}, {"identifier": "J37", "position": [4, 5], "step": 64, "ordinal_position": 65}, {"identifier": "B25", "position": [3, 5], "step": 65, "ordinal_position": 66}, {"identifier": "B04", "position": [2, 5], "step": 66, "ordinal_position": 67}, {"identifier": "I87", "position": [1, 5], "step": 67, "ordinal_position": 68}, {"identifier": "S24", "position": [1, 4], "step": 68, "ordinal_position": 69}, {"identifier": "B18", "position": [1, 3], "step": 69, "ordinal_position": 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"position": [1, 4], "step": 132, "ordinal_position": 133}, {"identifier": "B18", "position": [1, 3], "step": 133, "ordinal_position": 134}, {"identifier": "K90", "position": [1, 2], "step": 134, "ordinal_position": 135}, {"identifier": "N00", "position": [1, 1], "step": 135, "ordinal_position": 136}, {"identifier": "A91", "position": [2, 1], "step": 136, "ordinal_position": 137}, {"identifier": "R93", "position": [3, 1], "step": 137, "ordinal_position": 138}, {"identifier": "V61", "position": [4, 1], "step": 138, "ordinal_position": 139}, {"identifier": "U30", "position": [5, 1], "step": 139, "ordinal_position": 140}, {"identifier": "W17", "position": [5, 2], "step": 140, "ordinal_position": 141}, {"identifier": "A37", "position": [5, 3], "step": 141, "ordinal_position": 142}, {"identifier": "P61", "position": [5, 4], "step": 142, "ordinal_position": 143}, {"identifier": "Y21", "position": [5, 5], "step": 143, "ordinal_position": 144}, {"identifier": "J37", "position": [4, 5], "step": 144, "ordinal_position": 145}, {"identifier": "B25", "position": [3, 5], "step": 145, "ordinal_position": 146}, {"identifier": "B04", "position": [2, 5], "step": 146, "ordinal_position": 147}, {"identifier": "I87", "position": [1, 5], "step": 147, "ordinal_position": 148}, {"identifier": "S24", "position": [1, 4], "step": 148, "ordinal_position": 149}, {"identifier": "B18", "position": [1, 3], "step": 149, "ordinal_position": 150}, {"identifier": "K90", "position": [1, 2], "step": 150, "ordinal_position": 151}, {"identifier": "N00", "position": [1, 1], "step": 151, "ordinal_position": 152}, {"identifier": "A91", "position": [2, 1], "step": 152, "ordinal_position": 153}, {"identifier": "R93", "position": [3, 1], "step": 153, "ordinal_position": 154}, {"identifier": "V61", "position": [4, 1], "step": 154, "ordinal_position": 155}, {"identifier": "U30", "position": [5, 1], "step": 155, "ordinal_position": 156}, {"identifier": "W17", "position": [5, 2], "step": 156, "ordinal_position": 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"position": [3, 1], "step": 169, "ordinal_position": 170}, {"identifier": "V61", "position": [4, 1], "step": 170, "ordinal_position": 171}, {"identifier": "U30", "position": [5, 1], "step": 171, "ordinal_position": 172}, {"identifier": "W17", "position": [5, 2], "step": 172, "ordinal_position": 173}, {"identifier": "A37", "position": [5, 3], "step": 173, "ordinal_position": 174}, {"identifier": "P61", "position": [5, 4], "step": 174, "ordinal_position": 175}, {"identifier": "Y21", "position": [5, 5], "step": 175, "ordinal_position": 176}, {"identifier": "J37", "position": [4, 5], "step": 176, "ordinal_position": 177}, {"identifier": "B25", "position": [3, 5], "step": 177, "ordinal_position": 178}, {"identifier": "B04", "position": [2, 5], "step": 178, "ordinal_position": 179}, {"identifier": "I87", "position": [1, 5], "step": 179, "ordinal_position": 180}, {"identifier": "S24", "position": [1, 4], "step": 180, "ordinal_position": 181}, {"identifier": "B18", "position": [1, 3], "step": 181, "ordinal_position": 182}, {"identifier": "K90", "position": [1, 2], "step": 182, "ordinal_position": 183}, {"identifier": "N00", "position": [1, 1], "step": 183, "ordinal_position": 184}, {"identifier": "A91", "position": [2, 1], "step": 184, "ordinal_position": 185}, {"identifier": "R93", "position": [3, 1], "step": 185, "ordinal_position": 186}, {"identifier": "V61", "position": [4, 1], "step": 186, "ordinal_position": 187}, {"identifier": "U30", "position": [5, 1], "step": 187, "ordinal_position": 188}, {"identifier": "W17", "position": [5, 2], "step": 188, "ordinal_position": 189}, {"identifier": "A37", "position": [5, 3], "step": 189, "ordinal_position": 190}, {"identifier": "P61", "position": [5, 4], "step": 190, "ordinal_position": 191}, {"identifier": "Y21", "position": [5, 5], "step": 191, "ordinal_position": 192}, {"identifier": "J37", "position": [4, 5], "step": 192, "ordinal_position": 193}, {"identifier": "B25", "position": [3, 5], "step": 193, "ordinal_position": 194}, {"identifier": "B04", "position": [2, 5], "step": 194, "ordinal_position": 195}, {"identifier": "I87", "position": [1, 5], "step": 195, "ordinal_position": 196}, {"identifier": "S24", "position": [1, 4], "step": 196, "ordinal_position": 197}, {"identifier": "B18", "position": [1, 3], "step": 197, "ordinal_position": 198}, {"identifier": "K90", "position": [1, 2], "step": 198, "ordinal_position": 199}, {"identifier": "N00", "position": [1, 1], "step": 199, "ordinal_position": 200}, {"identifier": "A91", "position": [2, 1], "step": 200, "ordinal_position": 201}, {"identifier": "R93", "position": [3, 1], "step": 201, "ordinal_position": 202}, {"identifier": "V61", "position": [4, 1], "step": 202, "ordinal_position": 203}, {"identifier": "U30", "position": [5, 1], "step": 203, "ordinal_position": 204}, {"identifier": "W17", "position": [5, 2], "step": 204, "ordinal_position": 205}, {"identifier": "A37", "position": [5, 3], "step": 205, "ordinal_position": 206}, {"identifier": "P61", "position": [5, 4], "step": 206, "ordinal_position": 207}, {"identifier": "Y21", "position": [5, 5], "step": 207, "ordinal_position": 208}, {"identifier": "J37", "position": [4, 5], "step": 208, "ordinal_position": 209}, {"identifier": "B25", "position": [3, 5], "step": 209, "ordinal_position": 210}, {"identifier": "B04", "position": [2, 5], "step": 210, "ordinal_position": 211}, {"identifier": "I87", "position": [1, 5], "step": 211, "ordinal_position": 212}, {"identifier": "S24", "position": [1, 4], "step": 212, "ordinal_position": 213}, {"identifier": "B18", "position": [1, 3], "step": 213, "ordinal_position": 214}, {"identifier": "K90", "position": [1, 2], "step": 214, "ordinal_position": 215}, {"identifier": "N00", "position": [1, 1], "step": 215, "ordinal_position": 216}, {"identifier": "A91", "position": [2, 1], "step": 216, "ordinal_position": 217}, {"identifier": "R93", "position": [3, 1], "step": 217, "ordinal_position": 218}, {"identifier": "V61", "position": [4, 1], "step": 218, "ordinal_position": 219}, {"identifier": "U30", "position": [5, 1], "step": 219, "ordinal_position": 220}, {"identifier": "W17", "position": [5, 2], "step": 220, "ordinal_position": 221}, {"identifier": "A37", "position": [5, 3], "step": 221, "ordinal_position": 222}, {"identifier": "P61", "position": [5, 4], "step": 222, "ordinal_position": 223}, {"identifier": "Y21", "position": [5, 5], "step": 223, "ordinal_position": 224}, {"identifier": "J37", "position": [4, 5], "step": 224, "ordinal_position": 225}, {"identifier": "B25", "position": [3, 5], "step": 225, "ordinal_position": 226}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 226, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_001.json"}} {"qa_id": "f185a711dd1b4576be792a18e77a2299", "image_id": "L3-MazeLoop-test_7x7_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P61, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 263rd position in this traversal?", "start_object_id": "P61", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [263], "ordinal_strings": ["263rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "S24", "traversal_path": [{"identifier": "P61", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "Y21", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "J37", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "B25", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "B04", "position": [2, 5], "step": 4, "ordinal_position": 5}, {"identifier": "I87", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "S24", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "B18", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "K90", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "N00", "position": [1, 1], "step": 9, "ordinal_position": 10}, {"identifier": "A91", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "R93", "position": [3, 1], "step": 11, "ordinal_position": 12}, {"identifier": "V61", "position": [4, 1], "step": 12, "ordinal_position": 13}, {"identifier": "U30", "position": [5, 1], "step": 13, "ordinal_position": 14}, {"identifier": "W17", "position": [5, 2], "step": 14, "ordinal_position": 15}, {"identifier": "A37", "position": [5, 3], "step": 15, "ordinal_position": 16}, {"identifier": "P61", "position": [5, 4], "step": 16, "ordinal_position": 17}, {"identifier": "Y21", "position": [5, 5], "step": 17, "ordinal_position": 18}, {"identifier": "J37", "position": [4, 5], "step": 18, "ordinal_position": 19}, {"identifier": "B25", "position": [3, 5], "step": 19, "ordinal_position": 20}, {"identifier": "B04", "position": [2, 5], "step": 20, "ordinal_position": 21}, {"identifier": "I87", "position": [1, 5], "step": 21, "ordinal_position": 22}, {"identifier": "S24", "position": [1, 4], "step": 22, "ordinal_position": 23}, {"identifier": "B18", "position": [1, 3], "step": 23, "ordinal_position": 24}, {"identifier": "K90", "position": [1, 2], "step": 24, "ordinal_position": 25}, {"identifier": "N00", "position": [1, 1], "step": 25, "ordinal_position": 26}, {"identifier": "A91", "position": [2, 1], "step": 26, "ordinal_position": 27}, {"identifier": "R93", "position": [3, 1], "step": 27, "ordinal_position": 28}, {"identifier": "V61", "position": [4, 1], "step": 28, "ordinal_position": 29}, {"identifier": "U30", "position": [5, 1], "step": 29, "ordinal_position": 30}, {"identifier": "W17", "position": [5, 2], "step": 30, "ordinal_position": 31}, {"identifier": "A37", "position": [5, 3], "step": 31, "ordinal_position": 32}, {"identifier": "P61", "position": [5, 4], "step": 32, "ordinal_position": 33}, {"identifier": "Y21", "position": [5, 5], "step": 33, "ordinal_position": 34}, {"identifier": "J37", "position": [4, 5], "step": 34, "ordinal_position": 35}, {"identifier": "B25", "position": [3, 5], "step": 35, "ordinal_position": 36}, {"identifier": "B04", "position": [2, 5], "step": 36, "ordinal_position": 37}, {"identifier": "I87", "position": [1, 5], "step": 37, "ordinal_position": 38}, {"identifier": "S24", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "B18", "position": [1, 3], "step": 39, "ordinal_position": 40}, {"identifier": "K90", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "N00", "position": [1, 1], "step": 41, "ordinal_position": 42}, {"identifier": "A91", "position": [2, 1], "step": 42, "ordinal_position": 43}, {"identifier": "R93", "position": [3, 1], "step": 43, "ordinal_position": 44}, {"identifier": "V61", "position": [4, 1], "step": 44, "ordinal_position": 45}, {"identifier": "U30", "position": [5, 1], "step": 45, "ordinal_position": 46}, {"identifier": "W17", "position": [5, 2], "step": 46, "ordinal_position": 47}, {"identifier": "A37", "position": [5, 3], "step": 47, "ordinal_position": 48}, {"identifier": "P61", "position": [5, 4], "step": 48, "ordinal_position": 49}, {"identifier": "Y21", "position": [5, 5], "step": 49, "ordinal_position": 50}, {"identifier": "J37", "position": [4, 5], "step": 50, "ordinal_position": 51}, {"identifier": "B25", "position": [3, 5], "step": 51, "ordinal_position": 52}, {"identifier": "B04", "position": [2, 5], "step": 52, "ordinal_position": 53}, {"identifier": "I87", "position": [1, 5], "step": 53, "ordinal_position": 54}, {"identifier": "S24", "position": [1, 4], "step": 54, "ordinal_position": 55}, {"identifier": "B18", "position": [1, 3], "step": 55, "ordinal_position": 56}, {"identifier": "K90", "position": [1, 2], "step": 56, "ordinal_position": 57}, {"identifier": "N00", "position": [1, 1], "step": 57, "ordinal_position": 58}, {"identifier": "A91", "position": [2, 1], "step": 58, "ordinal_position": 59}, {"identifier": "R93", "position": [3, 1], "step": 59, "ordinal_position": 60}, {"identifier": "V61", "position": [4, 1], "step": 60, "ordinal_position": 61}, {"identifier": "U30", "position": [5, 1], "step": 61, "ordinal_position": 62}, {"identifier": "W17", "position": [5, 2], "step": 62, "ordinal_position": 63}, {"identifier": "A37", "position": [5, 3], "step": 63, "ordinal_position": 64}, {"identifier": "P61", "position": [5, 4], "step": 64, "ordinal_position": 65}, {"identifier": "Y21", "position": [5, 5], "step": 65, "ordinal_position": 66}, {"identifier": "J37", "position": [4, 5], "step": 66, "ordinal_position": 67}, {"identifier": "B25", "position": [3, 5], "step": 67, "ordinal_position": 68}, {"identifier": "B04", "position": [2, 5], "step": 68, "ordinal_position": 69}, {"identifier": "I87", "position": [1, 5], "step": 69, "ordinal_position": 70}, {"identifier": "S24", "position": [1, 4], "step": 70, "ordinal_position": 71}, {"identifier": "B18", "position": [1, 3], "step": 71, "ordinal_position": 72}, {"identifier": "K90", "position": [1, 2], "step": 72, "ordinal_position": 73}, {"identifier": "N00", "position": [1, 1], "step": 73, "ordinal_position": 74}, {"identifier": "A91", "position": [2, 1], "step": 74, "ordinal_position": 75}, {"identifier": "R93", "position": [3, 1], "step": 75, "ordinal_position": 76}, {"identifier": "V61", "position": [4, 1], "step": 76, "ordinal_position": 77}, {"identifier": "U30", "position": [5, 1], "step": 77, "ordinal_position": 78}, {"identifier": "W17", "position": [5, 2], "step": 78, "ordinal_position": 79}, {"identifier": "A37", "position": [5, 3], "step": 79, "ordinal_position": 80}, {"identifier": "P61", "position": [5, 4], "step": 80, "ordinal_position": 81}, {"identifier": "Y21", "position": [5, 5], "step": 81, "ordinal_position": 82}, {"identifier": "J37", "position": [4, 5], "step": 82, "ordinal_position": 83}, {"identifier": "B25", "position": [3, 5], "step": 83, "ordinal_position": 84}, {"identifier": "B04", "position": [2, 5], "step": 84, "ordinal_position": 85}, {"identifier": "I87", "position": [1, 5], "step": 85, "ordinal_position": 86}, {"identifier": "S24", "position": [1, 4], "step": 86, "ordinal_position": 87}, {"identifier": "B18", "position": [1, 3], "step": 87, "ordinal_position": 88}, {"identifier": "K90", "position": [1, 2], "step": 88, "ordinal_position": 89}, {"identifier": "N00", "position": [1, 1], "step": 89, "ordinal_position": 90}, {"identifier": "A91", "position": [2, 1], "step": 90, "ordinal_position": 91}, {"identifier": "R93", "position": [3, 1], "step": 91, "ordinal_position": 92}, {"identifier": "V61", "position": [4, 1], "step": 92, "ordinal_position": 93}, {"identifier": "U30", "position": [5, 1], "step": 93, "ordinal_position": 94}, {"identifier": "W17", "position": [5, 2], "step": 94, "ordinal_position": 95}, {"identifier": "A37", "position": [5, 3], "step": 95, "ordinal_position": 96}, {"identifier": "P61", "position": [5, 4], "step": 96, "ordinal_position": 97}, {"identifier": "Y21", "position": [5, 5], "step": 97, "ordinal_position": 98}, {"identifier": "J37", "position": [4, 5], "step": 98, "ordinal_position": 99}, {"identifier": "B25", "position": [3, 5], "step": 99, "ordinal_position": 100}, {"identifier": "B04", "position": [2, 5], "step": 100, "ordinal_position": 101}, {"identifier": "I87", "position": [1, 5], "step": 101, "ordinal_position": 102}, {"identifier": "S24", "position": [1, 4], "step": 102, "ordinal_position": 103}, {"identifier": "B18", "position": [1, 3], "step": 103, "ordinal_position": 104}, {"identifier": "K90", "position": [1, 2], "step": 104, "ordinal_position": 105}, {"identifier": "N00", "position": [1, 1], "step": 105, "ordinal_position": 106}, {"identifier": "A91", "position": [2, 1], "step": 106, "ordinal_position": 107}, {"identifier": "R93", "position": [3, 1], "step": 107, "ordinal_position": 108}, {"identifier": "V61", "position": [4, 1], "step": 108, "ordinal_position": 109}, {"identifier": "U30", "position": [5, 1], "step": 109, "ordinal_position": 110}, {"identifier": "W17", "position": [5, 2], "step": 110, "ordinal_position": 111}, {"identifier": "A37", "position": [5, 3], "step": 111, "ordinal_position": 112}, {"identifier": "P61", "position": [5, 4], "step": 112, "ordinal_position": 113}, {"identifier": "Y21", "position": [5, 5], "step": 113, "ordinal_position": 114}, {"identifier": "J37", "position": [4, 5], "step": 114, "ordinal_position": 115}, {"identifier": "B25", "position": [3, 5], "step": 115, "ordinal_position": 116}, {"identifier": "B04", "position": [2, 5], "step": 116, "ordinal_position": 117}, {"identifier": "I87", "position": [1, 5], "step": 117, "ordinal_position": 118}, {"identifier": "S24", "position": [1, 4], "step": 118, "ordinal_position": 119}, {"identifier": "B18", "position": [1, 3], "step": 119, "ordinal_position": 120}, {"identifier": "K90", "position": [1, 2], "step": 120, "ordinal_position": 121}, {"identifier": "N00", "position": [1, 1], "step": 121, "ordinal_position": 122}, {"identifier": "A91", "position": [2, 1], "step": 122, "ordinal_position": 123}, {"identifier": "R93", "position": [3, 1], "step": 123, "ordinal_position": 124}, {"identifier": "V61", "position": [4, 1], "step": 124, "ordinal_position": 125}, {"identifier": "U30", "position": [5, 1], "step": 125, "ordinal_position": 126}, {"identifier": "W17", "position": [5, 2], "step": 126, "ordinal_position": 127}, {"identifier": "A37", "position": [5, 3], "step": 127, "ordinal_position": 128}, {"identifier": "P61", "position": [5, 4], "step": 128, "ordinal_position": 129}, {"identifier": "Y21", "position": [5, 5], "step": 129, "ordinal_position": 130}, {"identifier": "J37", "position": [4, 5], "step": 130, "ordinal_position": 131}, {"identifier": "B25", "position": [3, 5], "step": 131, "ordinal_position": 132}, {"identifier": "B04", "position": [2, 5], "step": 132, "ordinal_position": 133}, {"identifier": "I87", "position": [1, 5], "step": 133, "ordinal_position": 134}, {"identifier": "S24", "position": [1, 4], "step": 134, "ordinal_position": 135}, {"identifier": "B18", "position": [1, 3], "step": 135, "ordinal_position": 136}, {"identifier": "K90", "position": [1, 2], "step": 136, "ordinal_position": 137}, {"identifier": "N00", "position": [1, 1], "step": 137, "ordinal_position": 138}, {"identifier": "A91", "position": [2, 1], "step": 138, "ordinal_position": 139}, {"identifier": "R93", "position": [3, 1], "step": 139, "ordinal_position": 140}, {"identifier": "V61", "position": [4, 1], "step": 140, "ordinal_position": 141}, {"identifier": "U30", "position": [5, 1], "step": 141, "ordinal_position": 142}, {"identifier": "W17", "position": [5, 2], "step": 142, "ordinal_position": 143}, {"identifier": "A37", "position": [5, 3], "step": 143, "ordinal_position": 144}, {"identifier": "P61", "position": [5, 4], "step": 144, "ordinal_position": 145}, {"identifier": "Y21", "position": [5, 5], "step": 145, "ordinal_position": 146}, {"identifier": "J37", "position": [4, 5], "step": 146, "ordinal_position": 147}, {"identifier": "B25", "position": [3, 5], "step": 147, "ordinal_position": 148}, {"identifier": "B04", "position": [2, 5], "step": 148, "ordinal_position": 149}, {"identifier": "I87", "position": [1, 5], "step": 149, "ordinal_position": 150}, {"identifier": "S24", "position": [1, 4], "step": 150, "ordinal_position": 151}, {"identifier": "B18", "position": [1, 3], "step": 151, "ordinal_position": 152}, {"identifier": "K90", "position": [1, 2], "step": 152, "ordinal_position": 153}, {"identifier": "N00", "position": [1, 1], "step": 153, "ordinal_position": 154}, {"identifier": "A91", "position": [2, 1], "step": 154, "ordinal_position": 155}, {"identifier": "R93", "position": [3, 1], "step": 155, "ordinal_position": 156}, {"identifier": "V61", "position": [4, 1], "step": 156, "ordinal_position": 157}, {"identifier": "U30", "position": [5, 1], "step": 157, "ordinal_position": 158}, {"identifier": "W17", "position": [5, 2], "step": 158, "ordinal_position": 159}, {"identifier": "A37", "position": [5, 3], "step": 159, "ordinal_position": 160}, {"identifier": "P61", "position": [5, 4], "step": 160, "ordinal_position": 161}, {"identifier": "Y21", "position": [5, 5], "step": 161, "ordinal_position": 162}, {"identifier": "J37", "position": [4, 5], "step": 162, "ordinal_position": 163}, {"identifier": "B25", "position": [3, 5], "step": 163, "ordinal_position": 164}, {"identifier": "B04", "position": [2, 5], "step": 164, "ordinal_position": 165}, {"identifier": "I87", "position": [1, 5], "step": 165, "ordinal_position": 166}, {"identifier": "S24", "position": [1, 4], "step": 166, "ordinal_position": 167}, {"identifier": "B18", "position": [1, 3], "step": 167, "ordinal_position": 168}, {"identifier": "K90", "position": [1, 2], "step": 168, "ordinal_position": 169}, {"identifier": "N00", "position": [1, 1], "step": 169, "ordinal_position": 170}, {"identifier": "A91", "position": [2, 1], "step": 170, "ordinal_position": 171}, {"identifier": "R93", "position": [3, 1], "step": 171, "ordinal_position": 172}, {"identifier": "V61", "position": [4, 1], "step": 172, "ordinal_position": 173}, {"identifier": "U30", "position": [5, 1], "step": 173, "ordinal_position": 174}, {"identifier": "W17", "position": [5, 2], "step": 174, "ordinal_position": 175}, {"identifier": "A37", "position": [5, 3], "step": 175, "ordinal_position": 176}, {"identifier": "P61", "position": [5, 4], "step": 176, "ordinal_position": 177}, {"identifier": "Y21", "position": [5, 5], "step": 177, "ordinal_position": 178}, {"identifier": "J37", "position": [4, 5], "step": 178, "ordinal_position": 179}, {"identifier": "B25", "position": [3, 5], "step": 179, "ordinal_position": 180}, {"identifier": "B04", "position": [2, 5], "step": 180, "ordinal_position": 181}, {"identifier": "I87", "position": [1, 5], "step": 181, "ordinal_position": 182}, {"identifier": "S24", "position": [1, 4], "step": 182, "ordinal_position": 183}, {"identifier": "B18", "position": [1, 3], "step": 183, "ordinal_position": 184}, {"identifier": "K90", "position": [1, 2], "step": 184, "ordinal_position": 185}, {"identifier": "N00", "position": [1, 1], "step": 185, "ordinal_position": 186}, {"identifier": "A91", "position": [2, 1], "step": 186, "ordinal_position": 187}, {"identifier": "R93", "position": [3, 1], "step": 187, "ordinal_position": 188}, {"identifier": "V61", "position": [4, 1], "step": 188, "ordinal_position": 189}, {"identifier": "U30", "position": [5, 1], "step": 189, "ordinal_position": 190}, {"identifier": "W17", "position": [5, 2], "step": 190, "ordinal_position": 191}, {"identifier": "A37", "position": [5, 3], "step": 191, "ordinal_position": 192}, {"identifier": "P61", "position": [5, 4], "step": 192, "ordinal_position": 193}, {"identifier": "Y21", "position": [5, 5], "step": 193, "ordinal_position": 194}, {"identifier": "J37", "position": [4, 5], "step": 194, "ordinal_position": 195}, {"identifier": "B25", "position": [3, 5], "step": 195, "ordinal_position": 196}, {"identifier": "B04", "position": [2, 5], "step": 196, "ordinal_position": 197}, {"identifier": "I87", "position": [1, 5], "step": 197, "ordinal_position": 198}, {"identifier": "S24", "position": [1, 4], "step": 198, "ordinal_position": 199}, {"identifier": "B18", "position": [1, 3], "step": 199, "ordinal_position": 200}, {"identifier": "K90", "position": [1, 2], "step": 200, "ordinal_position": 201}, {"identifier": "N00", "position": [1, 1], "step": 201, "ordinal_position": 202}, {"identifier": "A91", "position": [2, 1], "step": 202, "ordinal_position": 203}, {"identifier": "R93", "position": [3, 1], "step": 203, "ordinal_position": 204}, {"identifier": "V61", "position": [4, 1], "step": 204, "ordinal_position": 205}, {"identifier": "U30", "position": [5, 1], "step": 205, "ordinal_position": 206}, {"identifier": "W17", "position": [5, 2], "step": 206, "ordinal_position": 207}, {"identifier": "A37", "position": [5, 3], "step": 207, "ordinal_position": 208}, {"identifier": "P61", "position": [5, 4], "step": 208, "ordinal_position": 209}, {"identifier": "Y21", "position": [5, 5], "step": 209, "ordinal_position": 210}, {"identifier": "J37", "position": [4, 5], "step": 210, "ordinal_position": 211}, {"identifier": "B25", "position": [3, 5], "step": 211, "ordinal_position": 212}, {"identifier": "B04", "position": [2, 5], "step": 212, "ordinal_position": 213}, {"identifier": "I87", "position": [1, 5], "step": 213, "ordinal_position": 214}, {"identifier": "S24", "position": [1, 4], "step": 214, "ordinal_position": 215}, {"identifier": "B18", "position": [1, 3], "step": 215, "ordinal_position": 216}, {"identifier": "K90", "position": [1, 2], "step": 216, "ordinal_position": 217}, {"identifier": "N00", "position": [1, 1], "step": 217, "ordinal_position": 218}, {"identifier": "A91", "position": [2, 1], "step": 218, "ordinal_position": 219}, {"identifier": "R93", "position": [3, 1], "step": 219, "ordinal_position": 220}, {"identifier": "V61", "position": [4, 1], "step": 220, "ordinal_position": 221}, {"identifier": "U30", "position": [5, 1], "step": 221, "ordinal_position": 222}, {"identifier": "W17", "position": [5, 2], "step": 222, "ordinal_position": 223}, {"identifier": "A37", "position": [5, 3], "step": 223, "ordinal_position": 224}, {"identifier": "P61", "position": [5, 4], "step": 224, "ordinal_position": 225}, {"identifier": "Y21", "position": [5, 5], "step": 225, "ordinal_position": 226}, {"identifier": "J37", "position": [4, 5], "step": 226, "ordinal_position": 227}, {"identifier": "B25", "position": [3, 5], "step": 227, "ordinal_position": 228}, {"identifier": "B04", "position": [2, 5], "step": 228, "ordinal_position": 229}, {"identifier": "I87", "position": [1, 5], "step": 229, "ordinal_position": 230}, {"identifier": "S24", "position": [1, 4], "step": 230, "ordinal_position": 231}, {"identifier": "B18", "position": [1, 3], "step": 231, "ordinal_position": 232}, {"identifier": "K90", "position": [1, 2], "step": 232, "ordinal_position": 233}, {"identifier": "N00", "position": [1, 1], "step": 233, "ordinal_position": 234}, {"identifier": "A91", "position": [2, 1], "step": 234, "ordinal_position": 235}, {"identifier": "R93", "position": [3, 1], "step": 235, "ordinal_position": 236}, {"identifier": "V61", "position": [4, 1], "step": 236, "ordinal_position": 237}, {"identifier": "U30", "position": [5, 1], "step": 237, "ordinal_position": 238}, {"identifier": "W17", "position": [5, 2], "step": 238, "ordinal_position": 239}, {"identifier": "A37", "position": [5, 3], "step": 239, "ordinal_position": 240}, {"identifier": "P61", "position": [5, 4], "step": 240, "ordinal_position": 241}, {"identifier": "Y21", "position": [5, 5], "step": 241, "ordinal_position": 242}, {"identifier": "J37", "position": [4, 5], "step": 242, "ordinal_position": 243}, {"identifier": "B25", "position": [3, 5], "step": 243, "ordinal_position": 244}, {"identifier": "B04", "position": [2, 5], "step": 244, "ordinal_position": 245}, {"identifier": "I87", "position": [1, 5], "step": 245, "ordinal_position": 246}, {"identifier": "S24", "position": [1, 4], "step": 246, "ordinal_position": 247}, {"identifier": "B18", "position": [1, 3], "step": 247, "ordinal_position": 248}, {"identifier": "K90", "position": [1, 2], "step": 248, "ordinal_position": 249}, {"identifier": "N00", "position": [1, 1], "step": 249, "ordinal_position": 250}, {"identifier": "A91", "position": [2, 1], "step": 250, "ordinal_position": 251}, {"identifier": "R93", "position": [3, 1], "step": 251, "ordinal_position": 252}, {"identifier": "V61", "position": [4, 1], "step": 252, "ordinal_position": 253}, {"identifier": "U30", "position": [5, 1], "step": 253, "ordinal_position": 254}, {"identifier": "W17", "position": [5, 2], "step": 254, "ordinal_position": 255}, {"identifier": "A37", "position": [5, 3], "step": 255, "ordinal_position": 256}, {"identifier": "P61", "position": [5, 4], "step": 256, "ordinal_position": 257}, {"identifier": "Y21", "position": [5, 5], "step": 257, "ordinal_position": 258}, {"identifier": "J37", "position": [4, 5], "step": 258, "ordinal_position": 259}, {"identifier": "B25", "position": [3, 5], "step": 259, "ordinal_position": 260}, {"identifier": "B04", "position": [2, 5], "step": 260, "ordinal_position": 261}, {"identifier": "I87", "position": [1, 5], "step": 261, "ordinal_position": 262}, {"identifier": "S24", "position": [1, 4], "step": 262, "ordinal_position": 263}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 263, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_001.json"}} {"qa_id": "c07cad045d8247578d83948e0235c166", "image_id": "L3-MazeLoop-test_7x7_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W17, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 151st position in this traversal?", "start_object_id": "W17", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [151], "ordinal_strings": ["151st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K90", "traversal_path": [{"identifier": "W17", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "U30", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "V61", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "R93", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "A91", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "N00", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "K90", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "B18", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "S24", "position": [1, 4], "step": 8, "ordinal_position": 9}, {"identifier": "I87", "position": [1, 5], "step": 9, "ordinal_position": 10}, {"identifier": "B04", "position": [2, 5], "step": 10, "ordinal_position": 11}, {"identifier": "B25", "position": [3, 5], "step": 11, "ordinal_position": 12}, {"identifier": "J37", "position": [4, 5], "step": 12, "ordinal_position": 13}, {"identifier": "Y21", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "P61", "position": [5, 4], "step": 14, "ordinal_position": 15}, {"identifier": "A37", "position": [5, 3], "step": 15, "ordinal_position": 16}, {"identifier": "W17", "position": [5, 2], "step": 16, "ordinal_position": 17}, {"identifier": "U30", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "V61", "position": [4, 1], "step": 18, "ordinal_position": 19}, {"identifier": "R93", "position": [3, 1], "step": 19, "ordinal_position": 20}, {"identifier": "A91", "position": [2, 1], "step": 20, "ordinal_position": 21}, {"identifier": "N00", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "K90", "position": [1, 2], "step": 22, "ordinal_position": 23}, {"identifier": "B18", "position": [1, 3], "step": 23, "ordinal_position": 24}, {"identifier": "S24", "position": [1, 4], "step": 24, "ordinal_position": 25}, {"identifier": "I87", "position": [1, 5], "step": 25, "ordinal_position": 26}, {"identifier": "B04", "position": [2, 5], "step": 26, "ordinal_position": 27}, {"identifier": "B25", "position": [3, 5], "step": 27, "ordinal_position": 28}, {"identifier": "J37", "position": [4, 5], "step": 28, "ordinal_position": 29}, {"identifier": "Y21", "position": [5, 5], "step": 29, "ordinal_position": 30}, {"identifier": "P61", "position": [5, 4], "step": 30, "ordinal_position": 31}, {"identifier": "A37", "position": [5, 3], "step": 31, "ordinal_position": 32}, {"identifier": "W17", "position": [5, 2], "step": 32, "ordinal_position": 33}, {"identifier": "U30", "position": [5, 1], "step": 33, "ordinal_position": 34}, {"identifier": "V61", "position": [4, 1], "step": 34, "ordinal_position": 35}, {"identifier": "R93", "position": [3, 1], "step": 35, "ordinal_position": 36}, {"identifier": "A91", "position": [2, 1], "step": 36, "ordinal_position": 37}, {"identifier": "N00", "position": [1, 1], "step": 37, "ordinal_position": 38}, {"identifier": "K90", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "B18", "position": [1, 3], "step": 39, "ordinal_position": 40}, {"identifier": "S24", "position": [1, 4], "step": 40, "ordinal_position": 41}, {"identifier": "I87", "position": [1, 5], "step": 41, "ordinal_position": 42}, {"identifier": "B04", "position": [2, 5], "step": 42, "ordinal_position": 43}, {"identifier": "B25", "position": [3, 5], "step": 43, "ordinal_position": 44}, {"identifier": "J37", "position": [4, 5], "step": 44, "ordinal_position": 45}, {"identifier": "Y21", "position": [5, 5], "step": 45, "ordinal_position": 46}, {"identifier": "P61", "position": [5, 4], "step": 46, "ordinal_position": 47}, {"identifier": "A37", "position": [5, 3], "step": 47, "ordinal_position": 48}, {"identifier": "W17", "position": [5, 2], "step": 48, "ordinal_position": 49}, {"identifier": "U30", "position": [5, 1], "step": 49, "ordinal_position": 50}, {"identifier": "V61", "position": [4, 1], "step": 50, "ordinal_position": 51}, {"identifier": "R93", "position": [3, 1], "step": 51, "ordinal_position": 52}, {"identifier": "A91", "position": [2, 1], "step": 52, "ordinal_position": 53}, {"identifier": "N00", "position": [1, 1], "step": 53, "ordinal_position": 54}, {"identifier": "K90", "position": [1, 2], "step": 54, "ordinal_position": 55}, {"identifier": "B18", "position": [1, 3], "step": 55, "ordinal_position": 56}, {"identifier": "S24", "position": [1, 4], "step": 56, "ordinal_position": 57}, {"identifier": "I87", "position": [1, 5], "step": 57, "ordinal_position": 58}, {"identifier": "B04", "position": [2, 5], "step": 58, "ordinal_position": 59}, {"identifier": "B25", "position": [3, 5], "step": 59, "ordinal_position": 60}, {"identifier": "J37", "position": [4, 5], "step": 60, "ordinal_position": 61}, {"identifier": "Y21", "position": [5, 5], "step": 61, "ordinal_position": 62}, {"identifier": "P61", "position": [5, 4], "step": 62, "ordinal_position": 63}, {"identifier": "A37", "position": [5, 3], "step": 63, "ordinal_position": 64}, {"identifier": "W17", "position": [5, 2], "step": 64, "ordinal_position": 65}, {"identifier": "U30", "position": [5, 1], "step": 65, "ordinal_position": 66}, {"identifier": "V61", "position": [4, 1], "step": 66, "ordinal_position": 67}, {"identifier": "R93", "position": [3, 1], "step": 67, "ordinal_position": 68}, {"identifier": "A91", "position": [2, 1], "step": 68, "ordinal_position": 69}, {"identifier": "N00", "position": [1, 1], "step": 69, "ordinal_position": 70}, {"identifier": "K90", "position": [1, 2], "step": 70, "ordinal_position": 71}, {"identifier": "B18", "position": [1, 3], "step": 71, "ordinal_position": 72}, {"identifier": "S24", "position": [1, 4], "step": 72, "ordinal_position": 73}, {"identifier": "I87", "position": [1, 5], "step": 73, "ordinal_position": 74}, {"identifier": "B04", "position": [2, 5], "step": 74, "ordinal_position": 75}, {"identifier": "B25", "position": [3, 5], "step": 75, "ordinal_position": 76}, {"identifier": "J37", "position": [4, 5], "step": 76, "ordinal_position": 77}, {"identifier": "Y21", "position": [5, 5], "step": 77, "ordinal_position": 78}, {"identifier": "P61", "position": [5, 4], "step": 78, "ordinal_position": 79}, {"identifier": "A37", "position": [5, 3], "step": 79, "ordinal_position": 80}, {"identifier": "W17", "position": [5, 2], "step": 80, "ordinal_position": 81}, {"identifier": "U30", "position": [5, 1], "step": 81, "ordinal_position": 82}, {"identifier": "V61", "position": [4, 1], "step": 82, "ordinal_position": 83}, {"identifier": "R93", "position": [3, 1], "step": 83, "ordinal_position": 84}, {"identifier": "A91", "position": [2, 1], "step": 84, "ordinal_position": 85}, {"identifier": "N00", "position": [1, 1], "step": 85, "ordinal_position": 86}, {"identifier": "K90", "position": [1, 2], "step": 86, "ordinal_position": 87}, {"identifier": "B18", "position": [1, 3], "step": 87, "ordinal_position": 88}, {"identifier": "S24", "position": [1, 4], "step": 88, "ordinal_position": 89}, {"identifier": "I87", "position": [1, 5], "step": 89, "ordinal_position": 90}, {"identifier": "B04", "position": [2, 5], "step": 90, "ordinal_position": 91}, {"identifier": "B25", "position": [3, 5], "step": 91, "ordinal_position": 92}, {"identifier": "J37", "position": [4, 5], "step": 92, "ordinal_position": 93}, {"identifier": "Y21", "position": [5, 5], "step": 93, "ordinal_position": 94}, {"identifier": "P61", "position": [5, 4], "step": 94, "ordinal_position": 95}, {"identifier": "A37", "position": [5, 3], "step": 95, "ordinal_position": 96}, {"identifier": "W17", "position": [5, 2], "step": 96, "ordinal_position": 97}, {"identifier": "U30", "position": [5, 1], "step": 97, "ordinal_position": 98}, {"identifier": "V61", "position": [4, 1], "step": 98, "ordinal_position": 99}, {"identifier": "R93", "position": [3, 1], "step": 99, "ordinal_position": 100}, {"identifier": "A91", "position": [2, 1], "step": 100, "ordinal_position": 101}, {"identifier": "N00", "position": [1, 1], "step": 101, "ordinal_position": 102}, {"identifier": "K90", "position": [1, 2], "step": 102, "ordinal_position": 103}, {"identifier": "B18", "position": [1, 3], "step": 103, "ordinal_position": 104}, {"identifier": "S24", "position": [1, 4], "step": 104, "ordinal_position": 105}, {"identifier": "I87", "position": [1, 5], "step": 105, "ordinal_position": 106}, {"identifier": "B04", "position": [2, 5], "step": 106, "ordinal_position": 107}, {"identifier": "B25", "position": [3, 5], "step": 107, "ordinal_position": 108}, {"identifier": "J37", "position": [4, 5], "step": 108, "ordinal_position": 109}, {"identifier": "Y21", "position": [5, 5], "step": 109, "ordinal_position": 110}, {"identifier": "P61", "position": [5, 4], "step": 110, "ordinal_position": 111}, {"identifier": "A37", "position": [5, 3], "step": 111, "ordinal_position": 112}, {"identifier": "W17", "position": [5, 2], "step": 112, "ordinal_position": 113}, {"identifier": "U30", "position": [5, 1], "step": 113, "ordinal_position": 114}, {"identifier": "V61", "position": [4, 1], "step": 114, "ordinal_position": 115}, {"identifier": "R93", "position": [3, 1], "step": 115, "ordinal_position": 116}, {"identifier": "A91", "position": [2, 1], "step": 116, "ordinal_position": 117}, {"identifier": "N00", "position": [1, 1], "step": 117, "ordinal_position": 118}, {"identifier": "K90", "position": [1, 2], "step": 118, "ordinal_position": 119}, {"identifier": "B18", "position": [1, 3], "step": 119, "ordinal_position": 120}, {"identifier": "S24", "position": [1, 4], "step": 120, "ordinal_position": 121}, {"identifier": "I87", "position": [1, 5], "step": 121, "ordinal_position": 122}, {"identifier": "B04", "position": [2, 5], "step": 122, "ordinal_position": 123}, {"identifier": "B25", "position": [3, 5], "step": 123, "ordinal_position": 124}, {"identifier": "J37", "position": [4, 5], "step": 124, "ordinal_position": 125}, {"identifier": "Y21", "position": [5, 5], "step": 125, "ordinal_position": 126}, {"identifier": "P61", "position": [5, 4], "step": 126, "ordinal_position": 127}, {"identifier": "A37", "position": [5, 3], "step": 127, "ordinal_position": 128}, {"identifier": "W17", "position": [5, 2], "step": 128, "ordinal_position": 129}, {"identifier": "U30", "position": [5, 1], "step": 129, "ordinal_position": 130}, {"identifier": "V61", "position": [4, 1], "step": 130, "ordinal_position": 131}, {"identifier": "R93", "position": [3, 1], "step": 131, "ordinal_position": 132}, {"identifier": "A91", "position": [2, 1], "step": 132, "ordinal_position": 133}, {"identifier": "N00", "position": [1, 1], "step": 133, "ordinal_position": 134}, {"identifier": "K90", "position": [1, 2], "step": 134, "ordinal_position": 135}, {"identifier": "B18", "position": [1, 3], "step": 135, "ordinal_position": 136}, {"identifier": "S24", "position": [1, 4], "step": 136, "ordinal_position": 137}, {"identifier": "I87", "position": [1, 5], "step": 137, "ordinal_position": 138}, {"identifier": "B04", "position": [2, 5], "step": 138, "ordinal_position": 139}, {"identifier": "B25", "position": [3, 5], "step": 139, "ordinal_position": 140}, {"identifier": "J37", "position": [4, 5], "step": 140, "ordinal_position": 141}, {"identifier": "Y21", "position": [5, 5], "step": 141, "ordinal_position": 142}, {"identifier": "P61", "position": [5, 4], "step": 142, "ordinal_position": 143}, {"identifier": "A37", "position": [5, 3], "step": 143, "ordinal_position": 144}, {"identifier": "W17", "position": [5, 2], "step": 144, "ordinal_position": 145}, {"identifier": "U30", "position": [5, 1], "step": 145, "ordinal_position": 146}, {"identifier": "V61", "position": [4, 1], "step": 146, "ordinal_position": 147}, {"identifier": "R93", "position": [3, 1], "step": 147, "ordinal_position": 148}, {"identifier": "A91", "position": [2, 1], "step": 148, "ordinal_position": 149}, {"identifier": "N00", "position": [1, 1], "step": 149, "ordinal_position": 150}, {"identifier": "K90", "position": [1, 2], "step": 150, "ordinal_position": 151}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 151, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_001.json"}} {"qa_id": "531f014c98934db5800d7bb9cd2189ab", "image_id": "L3-MazeLoop-test_7x7_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R35, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "R35", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "P23", "traversal_path": [{"identifier": "R35", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "V53", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "H26", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "U56", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "G73", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "P56", "position": [5, 3], "step": 5, "ordinal_position": 6}, {"identifier": "P23", "position": [5, 2], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_002.json"}} {"qa_id": "773cd9addcdc44ecaf8c00f59632696d", "image_id": "L3-MazeLoop-test_7x7_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U85, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "U85", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "V53", "traversal_path": [{"identifier": "U85", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "W95", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "W28", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "R35", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "V53", "position": [3, 5], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_002.json"}} {"qa_id": "781ebbf1f0d642d4a9938acff4d233d6", "image_id": "L3-MazeLoop-test_7x7_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B47, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "B47", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "J44", "traversal_path": [{"identifier": "B47", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "S22", "position": [2, 3], "step": 1, "ordinal_position": 2}, {"identifier": "U85", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "K98", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "B12", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "J44", "position": [2, 1], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 6, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_002.json"}} {"qa_id": "f222ceb81b4c44e1a4cec68e916f0250", "image_id": "L3-MazeLoop-test_7x7_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O91, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "O91", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "W95", "traversal_path": [{"identifier": "O91", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "J67", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "J44", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "B12", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "K98", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "U85", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "W95", "position": [1, 4], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_002.json"}} {"qa_id": "4b41aed09cbc4a48b76e49f62e66790e", "image_id": "L3-MazeLoop-test_7x7_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V53, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "V53", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "P56", "traversal_path": [{"identifier": "V53", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "H26", "position": [4, 5], "step": 1, "ordinal_position": 2}, {"identifier": "U56", "position": [5, 5], "step": 2, "ordinal_position": 3}, {"identifier": "G73", "position": [5, 4], "step": 3, "ordinal_position": 4}, {"identifier": "P56", "position": [5, 3], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_002.json"}} {"qa_id": "6994a1d4fbb648b3964f93fa5547542b", "image_id": "L3-MazeLoop-test_7x7_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B12, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 23rd position in this traversal?", "start_object_id": "B12", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [23], "ordinal_strings": ["23rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "P56", "traversal_path": [{"identifier": "B12", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "J44", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "J67", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "O91", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "N04", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "P23", "position": [5, 2], "step": 5, "ordinal_position": 6}, {"identifier": "P56", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "G73", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "U56", "position": [5, 5], "step": 8, "ordinal_position": 9}, {"identifier": "H26", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "V53", "position": [3, 5], "step": 10, "ordinal_position": 11}, {"identifier": "R35", "position": [2, 5], "step": 11, "ordinal_position": 12}, {"identifier": "W28", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "W95", "position": [1, 4], "step": 13, "ordinal_position": 14}, {"identifier": "U85", "position": [1, 3], "step": 14, "ordinal_position": 15}, {"identifier": "K98", "position": [1, 2], "step": 15, "ordinal_position": 16}, {"identifier": "B12", "position": [1, 1], "step": 16, "ordinal_position": 17}, {"identifier": "J44", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "J67", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "O91", "position": [4, 1], "step": 19, "ordinal_position": 20}, {"identifier": "N04", "position": [5, 1], "step": 20, "ordinal_position": 21}, {"identifier": "P23", "position": [5, 2], "step": 21, "ordinal_position": 22}, {"identifier": "P56", "position": [5, 3], "step": 22, "ordinal_position": 23}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 23, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_002.json"}} {"qa_id": "24b9af15eada4e8b9b633937d7f9df0c", "image_id": "L3-MazeLoop-test_7x7_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W28, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 39th position in this traversal?", "start_object_id": "W28", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [39], "ordinal_strings": ["39th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "J67", "traversal_path": [{"identifier": "W28", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "W95", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "U85", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "K98", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "B12", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "J44", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "J67", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "O91", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "N04", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "P23", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "P56", "position": [5, 3], "step": 10, "ordinal_position": 11}, {"identifier": "G73", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "U56", "position": [5, 5], "step": 12, "ordinal_position": 13}, {"identifier": "H26", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "V53", "position": [3, 5], "step": 14, "ordinal_position": 15}, {"identifier": "R35", "position": [2, 5], "step": 15, "ordinal_position": 16}, {"identifier": "W28", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "W95", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "U85", "position": [1, 3], "step": 18, "ordinal_position": 19}, {"identifier": "K98", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "B12", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "J44", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "J67", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "O91", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "N04", "position": [5, 1], "step": 24, "ordinal_position": 25}, {"identifier": "P23", "position": [5, 2], "step": 25, "ordinal_position": 26}, {"identifier": "P56", "position": [5, 3], "step": 26, "ordinal_position": 27}, {"identifier": "G73", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "U56", "position": [5, 5], "step": 28, "ordinal_position": 29}, {"identifier": "H26", "position": [4, 5], "step": 29, "ordinal_position": 30}, {"identifier": "V53", "position": [3, 5], "step": 30, "ordinal_position": 31}, {"identifier": "R35", "position": [2, 5], "step": 31, "ordinal_position": 32}, {"identifier": "W28", "position": [1, 5], "step": 32, "ordinal_position": 33}, {"identifier": "W95", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "U85", "position": [1, 3], "step": 34, "ordinal_position": 35}, {"identifier": "K98", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "B12", "position": [1, 1], "step": 36, "ordinal_position": 37}, {"identifier": "J44", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "J67", "position": [3, 1], "step": 38, "ordinal_position": 39}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 39, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_002.json"}} {"qa_id": "2759f0432ac04b88aaf8724606f0a30b", "image_id": "L3-MazeLoop-test_7x7_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J67, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 18th position in this traversal?", "start_object_id": "J67", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [18], "ordinal_strings": ["18th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "O91", "traversal_path": [{"identifier": "J67", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "O91", "position": [4, 1], "step": 1, "ordinal_position": 2}, {"identifier": "N04", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "P23", "position": [5, 2], "step": 3, "ordinal_position": 4}, {"identifier": "P56", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "G73", "position": [5, 4], "step": 5, "ordinal_position": 6}, {"identifier": "U56", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "H26", "position": [4, 5], "step": 7, "ordinal_position": 8}, {"identifier": "V53", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "R35", "position": [2, 5], "step": 9, "ordinal_position": 10}, {"identifier": "W28", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "W95", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "U85", "position": [1, 3], "step": 12, "ordinal_position": 13}, {"identifier": "K98", "position": [1, 2], "step": 13, "ordinal_position": 14}, {"identifier": "B12", "position": [1, 1], "step": 14, "ordinal_position": 15}, {"identifier": "J44", "position": [2, 1], "step": 15, "ordinal_position": 16}, {"identifier": "J67", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "O91", "position": [4, 1], "step": 17, "ordinal_position": 18}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 18, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_002.json"}} {"qa_id": "7abe4fa13a754a308b2864c526881d9f", "image_id": "L3-MazeLoop-test_7x7_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W28, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 82nd position in this traversal?", "start_object_id": "W28", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [82], "ordinal_strings": ["82nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "W95", "traversal_path": [{"identifier": "W28", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "W95", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "U85", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "K98", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "B12", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "J44", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "J67", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "O91", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "N04", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "P23", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "P56", "position": [5, 3], "step": 10, "ordinal_position": 11}, {"identifier": "G73", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "U56", "position": [5, 5], "step": 12, "ordinal_position": 13}, {"identifier": "H26", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "V53", "position": [3, 5], "step": 14, "ordinal_position": 15}, {"identifier": "R35", "position": [2, 5], "step": 15, "ordinal_position": 16}, {"identifier": "W28", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "W95", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "U85", "position": [1, 3], "step": 18, "ordinal_position": 19}, {"identifier": "K98", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "B12", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "J44", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "J67", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "O91", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "N04", "position": [5, 1], "step": 24, "ordinal_position": 25}, {"identifier": "P23", "position": [5, 2], "step": 25, "ordinal_position": 26}, {"identifier": "P56", "position": [5, 3], "step": 26, "ordinal_position": 27}, {"identifier": "G73", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "U56", "position": [5, 5], "step": 28, "ordinal_position": 29}, {"identifier": "H26", "position": [4, 5], "step": 29, "ordinal_position": 30}, {"identifier": "V53", "position": [3, 5], "step": 30, "ordinal_position": 31}, {"identifier": "R35", "position": [2, 5], "step": 31, "ordinal_position": 32}, {"identifier": "W28", "position": [1, 5], "step": 32, "ordinal_position": 33}, {"identifier": "W95", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "U85", "position": [1, 3], "step": 34, "ordinal_position": 35}, {"identifier": "K98", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "B12", "position": [1, 1], "step": 36, "ordinal_position": 37}, {"identifier": "J44", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "J67", "position": [3, 1], "step": 38, "ordinal_position": 39}, {"identifier": "O91", "position": [4, 1], "step": 39, "ordinal_position": 40}, {"identifier": "N04", "position": [5, 1], "step": 40, "ordinal_position": 41}, {"identifier": "P23", "position": [5, 2], "step": 41, "ordinal_position": 42}, {"identifier": "P56", "position": [5, 3], "step": 42, "ordinal_position": 43}, {"identifier": "G73", "position": [5, 4], "step": 43, "ordinal_position": 44}, {"identifier": "U56", "position": [5, 5], "step": 44, "ordinal_position": 45}, {"identifier": "H26", "position": [4, 5], "step": 45, "ordinal_position": 46}, {"identifier": "V53", "position": [3, 5], "step": 46, "ordinal_position": 47}, {"identifier": "R35", "position": [2, 5], "step": 47, "ordinal_position": 48}, {"identifier": "W28", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "W95", "position": [1, 4], "step": 49, "ordinal_position": 50}, {"identifier": "U85", "position": [1, 3], "step": 50, "ordinal_position": 51}, {"identifier": "K98", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "B12", "position": [1, 1], "step": 52, "ordinal_position": 53}, {"identifier": "J44", "position": [2, 1], "step": 53, "ordinal_position": 54}, {"identifier": "J67", "position": [3, 1], "step": 54, "ordinal_position": 55}, {"identifier": "O91", "position": [4, 1], "step": 55, "ordinal_position": 56}, {"identifier": "N04", "position": [5, 1], "step": 56, "ordinal_position": 57}, {"identifier": "P23", "position": [5, 2], "step": 57, "ordinal_position": 58}, {"identifier": "P56", "position": [5, 3], "step": 58, "ordinal_position": 59}, {"identifier": "G73", "position": [5, 4], "step": 59, "ordinal_position": 60}, {"identifier": "U56", "position": [5, 5], "step": 60, "ordinal_position": 61}, {"identifier": "H26", "position": [4, 5], "step": 61, "ordinal_position": 62}, {"identifier": "V53", "position": [3, 5], "step": 62, "ordinal_position": 63}, {"identifier": "R35", "position": [2, 5], "step": 63, "ordinal_position": 64}, {"identifier": "W28", "position": [1, 5], "step": 64, "ordinal_position": 65}, {"identifier": "W95", "position": [1, 4], "step": 65, "ordinal_position": 66}, {"identifier": "U85", "position": [1, 3], "step": 66, "ordinal_position": 67}, {"identifier": "K98", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "B12", "position": [1, 1], "step": 68, "ordinal_position": 69}, {"identifier": "J44", "position": [2, 1], "step": 69, "ordinal_position": 70}, {"identifier": "J67", "position": [3, 1], "step": 70, "ordinal_position": 71}, {"identifier": "O91", "position": [4, 1], "step": 71, "ordinal_position": 72}, {"identifier": "N04", "position": [5, 1], "step": 72, "ordinal_position": 73}, {"identifier": "P23", "position": [5, 2], "step": 73, "ordinal_position": 74}, {"identifier": "P56", "position": [5, 3], "step": 74, "ordinal_position": 75}, {"identifier": "G73", "position": [5, 4], "step": 75, "ordinal_position": 76}, {"identifier": "U56", "position": [5, 5], "step": 76, "ordinal_position": 77}, {"identifier": "H26", "position": [4, 5], "step": 77, "ordinal_position": 78}, {"identifier": "V53", "position": [3, 5], "step": 78, "ordinal_position": 79}, {"identifier": "R35", "position": [2, 5], "step": 79, "ordinal_position": 80}, {"identifier": "W28", "position": [1, 5], "step": 80, "ordinal_position": 81}, {"identifier": "W95", "position": [1, 4], "step": 81, "ordinal_position": 82}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 82, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_002.json"}} {"qa_id": "9ba372f65e50407d9dc2c4d227f965ce", "image_id": "L3-MazeLoop-test_7x7_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P56, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 15th position in this traversal?", "start_object_id": "P56", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [15], "ordinal_strings": ["15th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "U56", "traversal_path": [{"identifier": "P56", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "P23", "position": [5, 2], "step": 1, "ordinal_position": 2}, {"identifier": "N04", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "O91", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "J67", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "J44", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "B12", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "K98", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "U85", "position": [1, 3], "step": 8, "ordinal_position": 9}, {"identifier": "W95", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "W28", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "R35", "position": [2, 5], "step": 11, "ordinal_position": 12}, {"identifier": "V53", "position": [3, 5], "step": 12, "ordinal_position": 13}, {"identifier": "H26", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "U56", "position": [5, 5], "step": 14, "ordinal_position": 15}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 15, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_002.json"}} {"qa_id": "7b771f8695254e778d6967db4ae4c5b3", "image_id": "L3-MazeLoop-test_7x7_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J44, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 284th position in this traversal?", "start_object_id": "J44", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [284], "ordinal_strings": ["284th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "P56", "traversal_path": [{"identifier": "J44", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "B12", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "K98", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "U85", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "W95", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "W28", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "R35", "position": [2, 5], "step": 6, "ordinal_position": 7}, {"identifier": "V53", "position": [3, 5], "step": 7, "ordinal_position": 8}, {"identifier": "H26", "position": [4, 5], "step": 8, "ordinal_position": 9}, {"identifier": "U56", "position": [5, 5], "step": 9, "ordinal_position": 10}, {"identifier": "G73", "position": [5, 4], "step": 10, "ordinal_position": 11}, {"identifier": "P56", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "P23", "position": [5, 2], "step": 12, "ordinal_position": 13}, {"identifier": "N04", "position": [5, 1], "step": 13, "ordinal_position": 14}, {"identifier": "O91", "position": [4, 1], "step": 14, "ordinal_position": 15}, {"identifier": "J67", "position": [3, 1], "step": 15, "ordinal_position": 16}, {"identifier": "J44", "position": [2, 1], "step": 16, "ordinal_position": 17}, {"identifier": "B12", "position": [1, 1], "step": 17, "ordinal_position": 18}, {"identifier": "K98", "position": [1, 2], "step": 18, "ordinal_position": 19}, {"identifier": "U85", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "W95", "position": [1, 4], "step": 20, "ordinal_position": 21}, {"identifier": "W28", "position": [1, 5], "step": 21, "ordinal_position": 22}, {"identifier": "R35", "position": [2, 5], "step": 22, "ordinal_position": 23}, {"identifier": "V53", "position": [3, 5], "step": 23, "ordinal_position": 24}, {"identifier": "H26", "position": [4, 5], "step": 24, "ordinal_position": 25}, {"identifier": "U56", "position": [5, 5], "step": 25, "ordinal_position": 26}, {"identifier": "G73", "position": [5, 4], "step": 26, "ordinal_position": 27}, {"identifier": "P56", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "P23", "position": [5, 2], "step": 28, "ordinal_position": 29}, {"identifier": "N04", "position": [5, 1], "step": 29, "ordinal_position": 30}, {"identifier": "O91", "position": [4, 1], "step": 30, "ordinal_position": 31}, {"identifier": "J67", "position": [3, 1], "step": 31, "ordinal_position": 32}, {"identifier": "J44", "position": [2, 1], "step": 32, "ordinal_position": 33}, {"identifier": "B12", "position": [1, 1], "step": 33, "ordinal_position": 34}, {"identifier": "K98", "position": [1, 2], "step": 34, "ordinal_position": 35}, {"identifier": "U85", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "W95", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "W28", "position": [1, 5], "step": 37, "ordinal_position": 38}, {"identifier": "R35", "position": [2, 5], "step": 38, "ordinal_position": 39}, {"identifier": "V53", "position": [3, 5], "step": 39, "ordinal_position": 40}, {"identifier": "H26", "position": [4, 5], "step": 40, "ordinal_position": 41}, {"identifier": "U56", "position": [5, 5], "step": 41, "ordinal_position": 42}, {"identifier": "G73", "position": [5, 4], "step": 42, "ordinal_position": 43}, {"identifier": "P56", "position": [5, 3], "step": 43, "ordinal_position": 44}, {"identifier": "P23", "position": [5, 2], "step": 44, "ordinal_position": 45}, {"identifier": "N04", "position": [5, 1], "step": 45, "ordinal_position": 46}, {"identifier": "O91", "position": [4, 1], "step": 46, "ordinal_position": 47}, {"identifier": "J67", "position": [3, 1], "step": 47, "ordinal_position": 48}, {"identifier": "J44", "position": [2, 1], "step": 48, "ordinal_position": 49}, {"identifier": "B12", "position": [1, 1], "step": 49, "ordinal_position": 50}, {"identifier": "K98", "position": [1, 2], "step": 50, "ordinal_position": 51}, {"identifier": "U85", "position": [1, 3], "step": 51, "ordinal_position": 52}, {"identifier": "W95", "position": [1, 4], "step": 52, "ordinal_position": 53}, {"identifier": "W28", "position": [1, 5], "step": 53, "ordinal_position": 54}, {"identifier": "R35", "position": [2, 5], "step": 54, "ordinal_position": 55}, {"identifier": "V53", "position": [3, 5], "step": 55, "ordinal_position": 56}, {"identifier": "H26", "position": [4, 5], "step": 56, "ordinal_position": 57}, {"identifier": "U56", "position": [5, 5], "step": 57, "ordinal_position": 58}, {"identifier": "G73", "position": [5, 4], "step": 58, "ordinal_position": 59}, {"identifier": "P56", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "P23", "position": [5, 2], "step": 60, "ordinal_position": 61}, {"identifier": "N04", "position": [5, 1], "step": 61, "ordinal_position": 62}, {"identifier": "O91", "position": [4, 1], "step": 62, "ordinal_position": 63}, {"identifier": "J67", "position": [3, 1], "step": 63, "ordinal_position": 64}, {"identifier": "J44", "position": [2, 1], "step": 64, "ordinal_position": 65}, {"identifier": "B12", "position": [1, 1], "step": 65, "ordinal_position": 66}, {"identifier": "K98", "position": [1, 2], "step": 66, "ordinal_position": 67}, {"identifier": "U85", "position": [1, 3], "step": 67, "ordinal_position": 68}, {"identifier": "W95", "position": [1, 4], "step": 68, "ordinal_position": 69}, {"identifier": "W28", "position": [1, 5], "step": 69, "ordinal_position": 70}, {"identifier": "R35", "position": [2, 5], "step": 70, "ordinal_position": 71}, {"identifier": "V53", "position": [3, 5], "step": 71, "ordinal_position": 72}, {"identifier": "H26", "position": [4, 5], "step": 72, "ordinal_position": 73}, {"identifier": "U56", "position": [5, 5], "step": 73, "ordinal_position": 74}, {"identifier": "G73", "position": [5, 4], "step": 74, "ordinal_position": 75}, {"identifier": "P56", "position": [5, 3], "step": 75, "ordinal_position": 76}, {"identifier": "P23", "position": [5, 2], "step": 76, "ordinal_position": 77}, {"identifier": "N04", "position": [5, 1], "step": 77, "ordinal_position": 78}, {"identifier": "O91", "position": [4, 1], "step": 78, "ordinal_position": 79}, {"identifier": "J67", "position": [3, 1], "step": 79, "ordinal_position": 80}, {"identifier": "J44", "position": [2, 1], "step": 80, "ordinal_position": 81}, {"identifier": "B12", "position": [1, 1], "step": 81, "ordinal_position": 82}, {"identifier": "K98", "position": [1, 2], "step": 82, "ordinal_position": 83}, {"identifier": "U85", "position": [1, 3], "step": 83, "ordinal_position": 84}, {"identifier": "W95", "position": [1, 4], "step": 84, "ordinal_position": 85}, {"identifier": "W28", "position": [1, 5], "step": 85, "ordinal_position": 86}, {"identifier": "R35", "position": [2, 5], "step": 86, "ordinal_position": 87}, {"identifier": "V53", "position": [3, 5], "step": 87, "ordinal_position": 88}, {"identifier": "H26", "position": [4, 5], "step": 88, "ordinal_position": 89}, {"identifier": "U56", "position": [5, 5], "step": 89, "ordinal_position": 90}, {"identifier": "G73", "position": [5, 4], "step": 90, "ordinal_position": 91}, {"identifier": "P56", "position": [5, 3], "step": 91, "ordinal_position": 92}, {"identifier": "P23", "position": [5, 2], "step": 92, "ordinal_position": 93}, {"identifier": "N04", "position": [5, 1], "step": 93, "ordinal_position": 94}, {"identifier": "O91", "position": [4, 1], "step": 94, "ordinal_position": 95}, {"identifier": "J67", "position": [3, 1], "step": 95, "ordinal_position": 96}, {"identifier": "J44", "position": [2, 1], "step": 96, "ordinal_position": 97}, {"identifier": "B12", "position": [1, 1], "step": 97, "ordinal_position": 98}, {"identifier": "K98", 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110, "ordinal_position": 111}, {"identifier": "J67", "position": [3, 1], "step": 111, "ordinal_position": 112}, {"identifier": "J44", "position": [2, 1], "step": 112, "ordinal_position": 113}, {"identifier": "B12", "position": [1, 1], "step": 113, "ordinal_position": 114}, {"identifier": "K98", "position": [1, 2], "step": 114, "ordinal_position": 115}, {"identifier": "U85", "position": [1, 3], "step": 115, "ordinal_position": 116}, {"identifier": "W95", "position": [1, 4], "step": 116, "ordinal_position": 117}, {"identifier": "W28", "position": [1, 5], "step": 117, "ordinal_position": 118}, {"identifier": "R35", "position": [2, 5], "step": 118, "ordinal_position": 119}, {"identifier": "V53", "position": [3, 5], "step": 119, "ordinal_position": 120}, {"identifier": "H26", "position": [4, 5], "step": 120, "ordinal_position": 121}, {"identifier": "U56", "position": [5, 5], "step": 121, "ordinal_position": 122}, {"identifier": "G73", "position": [5, 4], "step": 122, "ordinal_position": 123}, {"identifier": "P56", "position": [5, 3], "step": 123, "ordinal_position": 124}, {"identifier": "P23", "position": [5, 2], "step": 124, "ordinal_position": 125}, {"identifier": "N04", "position": [5, 1], "step": 125, "ordinal_position": 126}, {"identifier": "O91", "position": [4, 1], "step": 126, "ordinal_position": 127}, {"identifier": "J67", "position": [3, 1], "step": 127, "ordinal_position": 128}, {"identifier": "J44", "position": [2, 1], "step": 128, "ordinal_position": 129}, {"identifier": "B12", "position": [1, 1], "step": 129, "ordinal_position": 130}, {"identifier": "K98", "position": [1, 2], "step": 130, "ordinal_position": 131}, {"identifier": "U85", "position": [1, 3], "step": 131, "ordinal_position": 132}, {"identifier": "W95", "position": [1, 4], "step": 132, "ordinal_position": 133}, {"identifier": "W28", "position": [1, 5], "step": 133, "ordinal_position": 134}, {"identifier": "R35", "position": [2, 5], "step": 134, "ordinal_position": 135}, {"identifier": "V53", 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147, "ordinal_position": 148}, {"identifier": "W95", "position": [1, 4], "step": 148, "ordinal_position": 149}, {"identifier": "W28", "position": [1, 5], "step": 149, "ordinal_position": 150}, {"identifier": "R35", "position": [2, 5], "step": 150, "ordinal_position": 151}, {"identifier": "V53", "position": [3, 5], "step": 151, "ordinal_position": 152}, {"identifier": "H26", "position": [4, 5], "step": 152, "ordinal_position": 153}, {"identifier": "U56", "position": [5, 5], "step": 153, "ordinal_position": 154}, {"identifier": "G73", "position": [5, 4], "step": 154, "ordinal_position": 155}, {"identifier": "P56", "position": [5, 3], "step": 155, "ordinal_position": 156}, {"identifier": "P23", "position": [5, 2], "step": 156, "ordinal_position": 157}, {"identifier": "N04", "position": [5, 1], "step": 157, "ordinal_position": 158}, {"identifier": "O91", "position": [4, 1], "step": 158, "ordinal_position": 159}, {"identifier": "J67", "position": [3, 1], "step": 159, "ordinal_position": 160}, {"identifier": "J44", "position": [2, 1], "step": 160, "ordinal_position": 161}, {"identifier": "B12", "position": [1, 1], "step": 161, "ordinal_position": 162}, {"identifier": "K98", "position": [1, 2], "step": 162, "ordinal_position": 163}, {"identifier": "U85", "position": [1, 3], "step": 163, "ordinal_position": 164}, {"identifier": "W95", "position": [1, 4], "step": 164, "ordinal_position": 165}, {"identifier": "W28", "position": [1, 5], "step": 165, "ordinal_position": 166}, {"identifier": "R35", "position": [2, 5], "step": 166, "ordinal_position": 167}, {"identifier": "V53", "position": [3, 5], "step": 167, "ordinal_position": 168}, {"identifier": "H26", "position": [4, 5], "step": 168, "ordinal_position": 169}, {"identifier": "U56", "position": [5, 5], "step": 169, "ordinal_position": 170}, {"identifier": "G73", "position": [5, 4], "step": 170, "ordinal_position": 171}, {"identifier": "P56", "position": [5, 3], "step": 171, "ordinal_position": 172}, {"identifier": "P23", "position": [5, 2], "step": 172, "ordinal_position": 173}, {"identifier": "N04", "position": [5, 1], "step": 173, "ordinal_position": 174}, {"identifier": "O91", "position": [4, 1], "step": 174, "ordinal_position": 175}, {"identifier": "J67", "position": [3, 1], "step": 175, "ordinal_position": 176}, {"identifier": "J44", "position": [2, 1], "step": 176, "ordinal_position": 177}, {"identifier": "B12", "position": [1, 1], "step": 177, "ordinal_position": 178}, {"identifier": "K98", "position": [1, 2], "step": 178, "ordinal_position": 179}, {"identifier": "U85", "position": [1, 3], "step": 179, "ordinal_position": 180}, {"identifier": "W95", "position": [1, 4], "step": 180, "ordinal_position": 181}, {"identifier": "W28", "position": [1, 5], "step": 181, "ordinal_position": 182}, {"identifier": "R35", "position": [2, 5], "step": 182, "ordinal_position": 183}, {"identifier": "V53", "position": [3, 5], "step": 183, "ordinal_position": 184}, {"identifier": "H26", "position": [4, 5], "step": 184, "ordinal_position": 185}, {"identifier": "U56", "position": [5, 5], "step": 185, "ordinal_position": 186}, {"identifier": "G73", "position": [5, 4], "step": 186, "ordinal_position": 187}, {"identifier": "P56", "position": [5, 3], "step": 187, "ordinal_position": 188}, {"identifier": "P23", "position": [5, 2], "step": 188, "ordinal_position": 189}, {"identifier": "N04", "position": [5, 1], "step": 189, "ordinal_position": 190}, {"identifier": "O91", "position": [4, 1], "step": 190, "ordinal_position": 191}, {"identifier": "J67", "position": [3, 1], "step": 191, "ordinal_position": 192}, {"identifier": "J44", "position": [2, 1], "step": 192, "ordinal_position": 193}, {"identifier": "B12", "position": [1, 1], "step": 193, "ordinal_position": 194}, {"identifier": "K98", "position": [1, 2], "step": 194, "ordinal_position": 195}, {"identifier": "U85", "position": [1, 3], "step": 195, "ordinal_position": 196}, {"identifier": "W95", "position": [1, 4], "step": 196, "ordinal_position": 197}, {"identifier": "W28", "position": [1, 5], "step": 197, "ordinal_position": 198}, {"identifier": "R35", "position": [2, 5], "step": 198, "ordinal_position": 199}, {"identifier": "V53", "position": [3, 5], "step": 199, "ordinal_position": 200}, {"identifier": "H26", "position": [4, 5], "step": 200, "ordinal_position": 201}, {"identifier": "U56", "position": [5, 5], "step": 201, "ordinal_position": 202}, {"identifier": "G73", "position": [5, 4], "step": 202, "ordinal_position": 203}, {"identifier": "P56", "position": [5, 3], "step": 203, "ordinal_position": 204}, {"identifier": "P23", "position": [5, 2], "step": 204, "ordinal_position": 205}, {"identifier": "N04", "position": [5, 1], "step": 205, "ordinal_position": 206}, {"identifier": "O91", "position": [4, 1], "step": 206, "ordinal_position": 207}, {"identifier": "J67", "position": [3, 1], "step": 207, "ordinal_position": 208}, {"identifier": "J44", "position": [2, 1], "step": 208, "ordinal_position": 209}, {"identifier": "B12", "position": [1, 1], "step": 209, "ordinal_position": 210}, {"identifier": "K98", "position": [1, 2], "step": 210, "ordinal_position": 211}, {"identifier": "U85", "position": [1, 3], "step": 211, "ordinal_position": 212}, {"identifier": "W95", "position": [1, 4], "step": 212, "ordinal_position": 213}, {"identifier": "W28", "position": [1, 5], "step": 213, "ordinal_position": 214}, {"identifier": "R35", "position": [2, 5], "step": 214, "ordinal_position": 215}, {"identifier": "V53", "position": [3, 5], "step": 215, "ordinal_position": 216}, {"identifier": "H26", "position": [4, 5], "step": 216, "ordinal_position": 217}, {"identifier": "U56", "position": [5, 5], "step": 217, "ordinal_position": 218}, {"identifier": "G73", "position": [5, 4], "step": 218, "ordinal_position": 219}, {"identifier": "P56", "position": [5, 3], "step": 219, "ordinal_position": 220}, {"identifier": "P23", "position": [5, 2], "step": 220, "ordinal_position": 221}, {"identifier": "N04", "position": [5, 1], "step": 221, "ordinal_position": 222}, {"identifier": "O91", "position": [4, 1], "step": 222, "ordinal_position": 223}, {"identifier": "J67", "position": [3, 1], "step": 223, "ordinal_position": 224}, {"identifier": "J44", "position": [2, 1], "step": 224, "ordinal_position": 225}, {"identifier": "B12", "position": [1, 1], "step": 225, "ordinal_position": 226}, {"identifier": "K98", "position": [1, 2], "step": 226, "ordinal_position": 227}, {"identifier": "U85", "position": [1, 3], "step": 227, "ordinal_position": 228}, {"identifier": "W95", "position": [1, 4], "step": 228, "ordinal_position": 229}, {"identifier": "W28", "position": [1, 5], "step": 229, "ordinal_position": 230}, {"identifier": "R35", "position": [2, 5], "step": 230, "ordinal_position": 231}, {"identifier": "V53", "position": [3, 5], "step": 231, "ordinal_position": 232}, {"identifier": "H26", "position": [4, 5], "step": 232, "ordinal_position": 233}, {"identifier": "U56", "position": [5, 5], "step": 233, "ordinal_position": 234}, {"identifier": "G73", "position": [5, 4], "step": 234, "ordinal_position": 235}, {"identifier": "P56", "position": [5, 3], "step": 235, "ordinal_position": 236}, {"identifier": "P23", "position": [5, 2], "step": 236, "ordinal_position": 237}, {"identifier": "N04", "position": [5, 1], "step": 237, "ordinal_position": 238}, {"identifier": "O91", "position": [4, 1], "step": 238, "ordinal_position": 239}, {"identifier": "J67", "position": [3, 1], "step": 239, "ordinal_position": 240}, {"identifier": "J44", "position": [2, 1], "step": 240, "ordinal_position": 241}, {"identifier": "B12", "position": [1, 1], "step": 241, "ordinal_position": 242}, {"identifier": "K98", "position": [1, 2], "step": 242, "ordinal_position": 243}, {"identifier": "U85", "position": [1, 3], "step": 243, "ordinal_position": 244}, {"identifier": "W95", "position": [1, 4], "step": 244, "ordinal_position": 245}, {"identifier": "W28", "position": [1, 5], "step": 245, "ordinal_position": 246}, {"identifier": "R35", "position": [2, 5], "step": 246, "ordinal_position": 247}, {"identifier": "V53", "position": [3, 5], "step": 247, "ordinal_position": 248}, {"identifier": "H26", "position": [4, 5], "step": 248, "ordinal_position": 249}, {"identifier": "U56", "position": [5, 5], "step": 249, "ordinal_position": 250}, {"identifier": "G73", "position": [5, 4], "step": 250, "ordinal_position": 251}, {"identifier": "P56", "position": [5, 3], "step": 251, "ordinal_position": 252}, {"identifier": "P23", "position": [5, 2], "step": 252, "ordinal_position": 253}, {"identifier": "N04", "position": [5, 1], "step": 253, "ordinal_position": 254}, {"identifier": "O91", "position": [4, 1], "step": 254, "ordinal_position": 255}, {"identifier": "J67", "position": [3, 1], "step": 255, "ordinal_position": 256}, {"identifier": "J44", "position": [2, 1], "step": 256, "ordinal_position": 257}, {"identifier": "B12", "position": [1, 1], "step": 257, "ordinal_position": 258}, {"identifier": "K98", "position": [1, 2], "step": 258, "ordinal_position": 259}, {"identifier": "U85", "position": [1, 3], "step": 259, "ordinal_position": 260}, {"identifier": "W95", "position": [1, 4], "step": 260, "ordinal_position": 261}, {"identifier": "W28", "position": [1, 5], "step": 261, "ordinal_position": 262}, {"identifier": "R35", "position": [2, 5], "step": 262, "ordinal_position": 263}, {"identifier": "V53", "position": [3, 5], "step": 263, "ordinal_position": 264}, {"identifier": "H26", "position": [4, 5], "step": 264, "ordinal_position": 265}, {"identifier": "U56", "position": [5, 5], "step": 265, "ordinal_position": 266}, {"identifier": "G73", "position": [5, 4], "step": 266, "ordinal_position": 267}, {"identifier": "P56", "position": [5, 3], "step": 267, "ordinal_position": 268}, {"identifier": "P23", "position": [5, 2], "step": 268, "ordinal_position": 269}, {"identifier": "N04", "position": [5, 1], "step": 269, "ordinal_position": 270}, {"identifier": "O91", "position": [4, 1], "step": 270, "ordinal_position": 271}, {"identifier": "J67", "position": [3, 1], "step": 271, "ordinal_position": 272}, {"identifier": "J44", "position": [2, 1], "step": 272, "ordinal_position": 273}, {"identifier": "B12", "position": [1, 1], "step": 273, "ordinal_position": 274}, {"identifier": "K98", "position": [1, 2], "step": 274, "ordinal_position": 275}, {"identifier": "U85", "position": [1, 3], "step": 275, "ordinal_position": 276}, {"identifier": "W95", "position": [1, 4], "step": 276, "ordinal_position": 277}, {"identifier": "W28", "position": [1, 5], "step": 277, "ordinal_position": 278}, {"identifier": "R35", "position": [2, 5], "step": 278, "ordinal_position": 279}, {"identifier": "V53", "position": [3, 5], "step": 279, "ordinal_position": 280}, {"identifier": "H26", "position": [4, 5], "step": 280, "ordinal_position": 281}, {"identifier": "U56", "position": [5, 5], "step": 281, "ordinal_position": 282}, {"identifier": "G73", "position": [5, 4], "step": 282, "ordinal_position": 283}, {"identifier": "P56", "position": [5, 3], "step": 283, "ordinal_position": 284}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 284, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_002.json"}} {"qa_id": "8a621793bb764505b23cd8283204683f", "image_id": "L3-MazeLoop-test_7x7_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O91, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 274th position in this traversal?", "start_object_id": "O91", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [274], "ordinal_strings": ["274th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "J67", "traversal_path": [{"identifier": "O91", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "J67", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "J44", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "B12", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "K98", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "U85", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "W95", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "W28", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "R35", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "V53", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "H26", "position": [4, 5], "step": 10, "ordinal_position": 11}, {"identifier": "U56", "position": [5, 5], "step": 11, "ordinal_position": 12}, {"identifier": "G73", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "P56", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "P23", "position": [5, 2], "step": 14, "ordinal_position": 15}, {"identifier": "N04", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "O91", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "J67", "position": [3, 1], "step": 17, "ordinal_position": 18}, {"identifier": "J44", "position": [2, 1], "step": 18, "ordinal_position": 19}, {"identifier": "B12", "position": [1, 1], "step": 19, "ordinal_position": 20}, {"identifier": "K98", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "U85", "position": [1, 3], "step": 21, "ordinal_position": 22}, {"identifier": "W95", "position": [1, 4], "step": 22, "ordinal_position": 23}, {"identifier": "W28", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "R35", "position": [2, 5], "step": 24, "ordinal_position": 25}, {"identifier": "V53", "position": [3, 5], "step": 25, "ordinal_position": 26}, {"identifier": "H26", "position": [4, 5], "step": 26, "ordinal_position": 27}, {"identifier": "U56", "position": [5, 5], "step": 27, "ordinal_position": 28}, {"identifier": "G73", "position": [5, 4], "step": 28, "ordinal_position": 29}, {"identifier": "P56", "position": [5, 3], "step": 29, "ordinal_position": 30}, {"identifier": "P23", "position": [5, 2], "step": 30, "ordinal_position": 31}, {"identifier": "N04", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "O91", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "J67", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "J44", "position": [2, 1], "step": 34, "ordinal_position": 35}, {"identifier": "B12", "position": [1, 1], "step": 35, "ordinal_position": 36}, {"identifier": "K98", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "U85", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "W95", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "W28", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "R35", "position": [2, 5], "step": 40, "ordinal_position": 41}, {"identifier": "V53", "position": [3, 5], "step": 41, "ordinal_position": 42}, {"identifier": "H26", "position": [4, 5], "step": 42, "ordinal_position": 43}, {"identifier": "U56", "position": [5, 5], "step": 43, "ordinal_position": 44}, {"identifier": "G73", "position": [5, 4], "step": 44, "ordinal_position": 45}, {"identifier": "P56", "position": [5, 3], "step": 45, "ordinal_position": 46}, {"identifier": "P23", "position": [5, 2], "step": 46, "ordinal_position": 47}, {"identifier": "N04", "position": [5, 1], "step": 47, "ordinal_position": 48}, {"identifier": "O91", "position": [4, 1], "step": 48, "ordinal_position": 49}, {"identifier": "J67", "position": [3, 1], "step": 49, "ordinal_position": 50}, {"identifier": "J44", "position": [2, 1], "step": 50, "ordinal_position": 51}, {"identifier": "B12", "position": [1, 1], "step": 51, "ordinal_position": 52}, {"identifier": "K98", "position": [1, 2], "step": 52, "ordinal_position": 53}, {"identifier": "U85", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "W95", "position": [1, 4], "step": 54, "ordinal_position": 55}, {"identifier": "W28", "position": [1, 5], "step": 55, "ordinal_position": 56}, {"identifier": "R35", "position": [2, 5], "step": 56, "ordinal_position": 57}, {"identifier": "V53", "position": [3, 5], "step": 57, "ordinal_position": 58}, {"identifier": "H26", "position": [4, 5], "step": 58, "ordinal_position": 59}, {"identifier": "U56", "position": [5, 5], "step": 59, "ordinal_position": 60}, {"identifier": "G73", "position": [5, 4], "step": 60, "ordinal_position": 61}, {"identifier": "P56", "position": [5, 3], "step": 61, "ordinal_position": 62}, {"identifier": "P23", "position": [5, 2], "step": 62, "ordinal_position": 63}, {"identifier": "N04", "position": [5, 1], "step": 63, "ordinal_position": 64}, {"identifier": "O91", "position": [4, 1], "step": 64, "ordinal_position": 65}, {"identifier": "J67", "position": [3, 1], "step": 65, "ordinal_position": 66}, {"identifier": "J44", "position": [2, 1], "step": 66, "ordinal_position": 67}, {"identifier": "B12", "position": [1, 1], "step": 67, "ordinal_position": 68}, {"identifier": "K98", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "U85", "position": [1, 3], "step": 69, "ordinal_position": 70}, {"identifier": "W95", "position": [1, 4], "step": 70, "ordinal_position": 71}, {"identifier": "W28", "position": [1, 5], "step": 71, "ordinal_position": 72}, {"identifier": "R35", "position": [2, 5], "step": 72, "ordinal_position": 73}, {"identifier": "V53", "position": [3, 5], "step": 73, "ordinal_position": 74}, {"identifier": "H26", "position": [4, 5], "step": 74, "ordinal_position": 75}, {"identifier": "U56", "position": [5, 5], "step": 75, "ordinal_position": 76}, {"identifier": "G73", "position": [5, 4], "step": 76, "ordinal_position": 77}, {"identifier": "P56", "position": [5, 3], "step": 77, "ordinal_position": 78}, {"identifier": "P23", "position": [5, 2], "step": 78, "ordinal_position": 79}, {"identifier": "N04", "position": [5, 1], "step": 79, "ordinal_position": 80}, {"identifier": "O91", "position": [4, 1], "step": 80, "ordinal_position": 81}, {"identifier": "J67", "position": [3, 1], "step": 81, "ordinal_position": 82}, {"identifier": "J44", "position": [2, 1], "step": 82, "ordinal_position": 83}, {"identifier": "B12", "position": [1, 1], "step": 83, "ordinal_position": 84}, {"identifier": "K98", "position": [1, 2], "step": 84, "ordinal_position": 85}, {"identifier": "U85", "position": [1, 3], "step": 85, "ordinal_position": 86}, {"identifier": "W95", "position": [1, 4], "step": 86, "ordinal_position": 87}, {"identifier": "W28", "position": [1, 5], "step": 87, "ordinal_position": 88}, {"identifier": "R35", "position": [2, 5], "step": 88, "ordinal_position": 89}, {"identifier": "V53", "position": [3, 5], "step": 89, "ordinal_position": 90}, {"identifier": "H26", "position": [4, 5], "step": 90, "ordinal_position": 91}, {"identifier": "U56", "position": [5, 5], "step": 91, "ordinal_position": 92}, {"identifier": "G73", "position": [5, 4], "step": 92, "ordinal_position": 93}, {"identifier": "P56", "position": [5, 3], "step": 93, "ordinal_position": 94}, {"identifier": "P23", "position": [5, 2], "step": 94, "ordinal_position": 95}, {"identifier": "N04", "position": [5, 1], "step": 95, "ordinal_position": 96}, {"identifier": "O91", "position": [4, 1], "step": 96, "ordinal_position": 97}, {"identifier": "J67", "position": [3, 1], "step": 97, "ordinal_position": 98}, {"identifier": "J44", "position": [2, 1], "step": 98, "ordinal_position": 99}, {"identifier": "B12", "position": [1, 1], "step": 99, "ordinal_position": 100}, {"identifier": "K98", "position": [1, 2], "step": 100, "ordinal_position": 101}, {"identifier": "U85", "position": [1, 3], "step": 101, "ordinal_position": 102}, {"identifier": "W95", "position": [1, 4], "step": 102, "ordinal_position": 103}, {"identifier": "W28", "position": [1, 5], "step": 103, "ordinal_position": 104}, {"identifier": "R35", "position": [2, 5], "step": 104, "ordinal_position": 105}, {"identifier": "V53", "position": [3, 5], "step": 105, "ordinal_position": 106}, {"identifier": "H26", "position": [4, 5], "step": 106, "ordinal_position": 107}, {"identifier": "U56", "position": [5, 5], "step": 107, "ordinal_position": 108}, {"identifier": "G73", "position": [5, 4], "step": 108, "ordinal_position": 109}, {"identifier": "P56", "position": [5, 3], "step": 109, "ordinal_position": 110}, {"identifier": "P23", "position": [5, 2], "step": 110, "ordinal_position": 111}, {"identifier": "N04", "position": [5, 1], "step": 111, "ordinal_position": 112}, {"identifier": "O91", "position": [4, 1], "step": 112, "ordinal_position": 113}, {"identifier": "J67", "position": [3, 1], "step": 113, "ordinal_position": 114}, {"identifier": "J44", "position": [2, 1], "step": 114, "ordinal_position": 115}, {"identifier": "B12", "position": [1, 1], "step": 115, "ordinal_position": 116}, {"identifier": "K98", "position": [1, 2], "step": 116, "ordinal_position": 117}, {"identifier": "U85", "position": [1, 3], "step": 117, "ordinal_position": 118}, {"identifier": "W95", "position": [1, 4], "step": 118, "ordinal_position": 119}, {"identifier": "W28", "position": [1, 5], "step": 119, "ordinal_position": 120}, {"identifier": "R35", "position": [2, 5], "step": 120, "ordinal_position": 121}, {"identifier": "V53", "position": [3, 5], "step": 121, "ordinal_position": 122}, {"identifier": "H26", "position": [4, 5], "step": 122, "ordinal_position": 123}, {"identifier": "U56", "position": [5, 5], "step": 123, "ordinal_position": 124}, {"identifier": "G73", "position": [5, 4], "step": 124, "ordinal_position": 125}, {"identifier": "P56", "position": [5, 3], "step": 125, "ordinal_position": 126}, {"identifier": "P23", "position": [5, 2], "step": 126, "ordinal_position": 127}, {"identifier": "N04", "position": [5, 1], "step": 127, "ordinal_position": 128}, {"identifier": "O91", "position": [4, 1], "step": 128, "ordinal_position": 129}, {"identifier": "J67", "position": [3, 1], "step": 129, "ordinal_position": 130}, {"identifier": "J44", "position": [2, 1], "step": 130, "ordinal_position": 131}, {"identifier": "B12", "position": [1, 1], "step": 131, "ordinal_position": 132}, {"identifier": "K98", "position": [1, 2], "step": 132, "ordinal_position": 133}, {"identifier": "U85", "position": [1, 3], "step": 133, "ordinal_position": 134}, {"identifier": "W95", "position": [1, 4], "step": 134, "ordinal_position": 135}, {"identifier": "W28", "position": [1, 5], "step": 135, "ordinal_position": 136}, {"identifier": "R35", "position": [2, 5], "step": 136, "ordinal_position": 137}, {"identifier": "V53", "position": [3, 5], "step": 137, "ordinal_position": 138}, {"identifier": "H26", "position": [4, 5], "step": 138, "ordinal_position": 139}, {"identifier": "U56", "position": [5, 5], "step": 139, "ordinal_position": 140}, {"identifier": "G73", "position": [5, 4], "step": 140, "ordinal_position": 141}, {"identifier": "P56", "position": [5, 3], "step": 141, "ordinal_position": 142}, {"identifier": "P23", "position": [5, 2], "step": 142, "ordinal_position": 143}, {"identifier": "N04", "position": [5, 1], "step": 143, "ordinal_position": 144}, {"identifier": "O91", "position": [4, 1], "step": 144, "ordinal_position": 145}, {"identifier": "J67", "position": [3, 1], "step": 145, "ordinal_position": 146}, {"identifier": "J44", "position": [2, 1], "step": 146, "ordinal_position": 147}, {"identifier": "B12", "position": [1, 1], "step": 147, "ordinal_position": 148}, {"identifier": "K98", "position": [1, 2], "step": 148, "ordinal_position": 149}, {"identifier": "U85", "position": [1, 3], "step": 149, "ordinal_position": 150}, {"identifier": "W95", "position": [1, 4], "step": 150, "ordinal_position": 151}, {"identifier": "W28", "position": [1, 5], "step": 151, "ordinal_position": 152}, {"identifier": "R35", "position": [2, 5], "step": 152, "ordinal_position": 153}, {"identifier": "V53", "position": [3, 5], "step": 153, "ordinal_position": 154}, {"identifier": "H26", "position": [4, 5], "step": 154, "ordinal_position": 155}, {"identifier": "U56", "position": [5, 5], "step": 155, "ordinal_position": 156}, {"identifier": "G73", "position": [5, 4], "step": 156, "ordinal_position": 157}, {"identifier": "P56", "position": [5, 3], "step": 157, "ordinal_position": 158}, {"identifier": "P23", "position": [5, 2], "step": 158, "ordinal_position": 159}, {"identifier": "N04", "position": [5, 1], "step": 159, "ordinal_position": 160}, {"identifier": "O91", "position": [4, 1], "step": 160, "ordinal_position": 161}, {"identifier": "J67", "position": [3, 1], "step": 161, "ordinal_position": 162}, {"identifier": "J44", "position": [2, 1], "step": 162, "ordinal_position": 163}, {"identifier": "B12", "position": [1, 1], "step": 163, "ordinal_position": 164}, {"identifier": "K98", "position": [1, 2], "step": 164, "ordinal_position": 165}, {"identifier": "U85", "position": [1, 3], "step": 165, "ordinal_position": 166}, {"identifier": "W95", "position": [1, 4], "step": 166, "ordinal_position": 167}, {"identifier": "W28", "position": [1, 5], "step": 167, "ordinal_position": 168}, {"identifier": "R35", "position": [2, 5], "step": 168, "ordinal_position": 169}, {"identifier": "V53", "position": [3, 5], "step": 169, "ordinal_position": 170}, {"identifier": "H26", "position": [4, 5], "step": 170, "ordinal_position": 171}, {"identifier": "U56", "position": [5, 5], "step": 171, "ordinal_position": 172}, {"identifier": "G73", "position": [5, 4], "step": 172, "ordinal_position": 173}, {"identifier": "P56", "position": [5, 3], "step": 173, "ordinal_position": 174}, {"identifier": "P23", "position": [5, 2], "step": 174, "ordinal_position": 175}, {"identifier": "N04", "position": [5, 1], "step": 175, "ordinal_position": 176}, {"identifier": "O91", "position": [4, 1], "step": 176, "ordinal_position": 177}, {"identifier": "J67", "position": [3, 1], "step": 177, "ordinal_position": 178}, {"identifier": "J44", "position": [2, 1], "step": 178, "ordinal_position": 179}, {"identifier": "B12", "position": [1, 1], "step": 179, "ordinal_position": 180}, {"identifier": "K98", "position": [1, 2], "step": 180, "ordinal_position": 181}, {"identifier": "U85", "position": [1, 3], "step": 181, "ordinal_position": 182}, {"identifier": "W95", "position": [1, 4], "step": 182, "ordinal_position": 183}, {"identifier": "W28", "position": [1, 5], "step": 183, "ordinal_position": 184}, {"identifier": "R35", "position": [2, 5], "step": 184, "ordinal_position": 185}, {"identifier": "V53", "position": [3, 5], "step": 185, "ordinal_position": 186}, {"identifier": "H26", "position": [4, 5], "step": 186, "ordinal_position": 187}, {"identifier": "U56", "position": [5, 5], "step": 187, "ordinal_position": 188}, {"identifier": "G73", "position": [5, 4], "step": 188, "ordinal_position": 189}, {"identifier": "P56", "position": [5, 3], "step": 189, "ordinal_position": 190}, {"identifier": "P23", "position": [5, 2], "step": 190, "ordinal_position": 191}, {"identifier": "N04", "position": [5, 1], "step": 191, "ordinal_position": 192}, {"identifier": "O91", "position": [4, 1], "step": 192, "ordinal_position": 193}, {"identifier": "J67", "position": [3, 1], "step": 193, "ordinal_position": 194}, {"identifier": "J44", "position": [2, 1], "step": 194, "ordinal_position": 195}, {"identifier": "B12", "position": [1, 1], "step": 195, "ordinal_position": 196}, {"identifier": "K98", "position": [1, 2], "step": 196, "ordinal_position": 197}, {"identifier": "U85", "position": [1, 3], "step": 197, "ordinal_position": 198}, {"identifier": "W95", "position": [1, 4], "step": 198, "ordinal_position": 199}, {"identifier": "W28", "position": [1, 5], "step": 199, "ordinal_position": 200}, {"identifier": "R35", "position": [2, 5], "step": 200, "ordinal_position": 201}, {"identifier": "V53", "position": [3, 5], "step": 201, "ordinal_position": 202}, {"identifier": "H26", "position": [4, 5], "step": 202, "ordinal_position": 203}, {"identifier": "U56", "position": [5, 5], "step": 203, "ordinal_position": 204}, {"identifier": "G73", "position": [5, 4], "step": 204, "ordinal_position": 205}, {"identifier": "P56", "position": [5, 3], "step": 205, "ordinal_position": 206}, {"identifier": "P23", "position": [5, 2], "step": 206, "ordinal_position": 207}, {"identifier": "N04", "position": [5, 1], "step": 207, "ordinal_position": 208}, {"identifier": "O91", "position": [4, 1], "step": 208, "ordinal_position": 209}, {"identifier": "J67", "position": [3, 1], "step": 209, "ordinal_position": 210}, {"identifier": "J44", "position": [2, 1], "step": 210, "ordinal_position": 211}, {"identifier": "B12", "position": [1, 1], "step": 211, "ordinal_position": 212}, {"identifier": "K98", "position": [1, 2], "step": 212, "ordinal_position": 213}, {"identifier": "U85", "position": [1, 3], "step": 213, "ordinal_position": 214}, {"identifier": "W95", "position": [1, 4], "step": 214, "ordinal_position": 215}, {"identifier": "W28", "position": [1, 5], "step": 215, "ordinal_position": 216}, {"identifier": "R35", "position": [2, 5], "step": 216, "ordinal_position": 217}, {"identifier": "V53", "position": [3, 5], "step": 217, "ordinal_position": 218}, {"identifier": "H26", "position": [4, 5], "step": 218, "ordinal_position": 219}, {"identifier": "U56", "position": [5, 5], "step": 219, "ordinal_position": 220}, {"identifier": "G73", "position": [5, 4], "step": 220, "ordinal_position": 221}, {"identifier": "P56", "position": [5, 3], "step": 221, "ordinal_position": 222}, {"identifier": "P23", "position": [5, 2], "step": 222, "ordinal_position": 223}, {"identifier": "N04", "position": [5, 1], "step": 223, "ordinal_position": 224}, {"identifier": "O91", "position": [4, 1], "step": 224, "ordinal_position": 225}, {"identifier": "J67", "position": [3, 1], "step": 225, "ordinal_position": 226}, {"identifier": "J44", "position": [2, 1], "step": 226, "ordinal_position": 227}, {"identifier": "B12", "position": [1, 1], "step": 227, "ordinal_position": 228}, {"identifier": "K98", "position": [1, 2], "step": 228, "ordinal_position": 229}, {"identifier": "U85", "position": [1, 3], "step": 229, "ordinal_position": 230}, {"identifier": "W95", "position": [1, 4], "step": 230, "ordinal_position": 231}, {"identifier": "W28", "position": [1, 5], "step": 231, "ordinal_position": 232}, {"identifier": "R35", "position": [2, 5], "step": 232, "ordinal_position": 233}, {"identifier": "V53", "position": [3, 5], "step": 233, "ordinal_position": 234}, {"identifier": "H26", "position": [4, 5], "step": 234, "ordinal_position": 235}, {"identifier": "U56", "position": [5, 5], "step": 235, "ordinal_position": 236}, {"identifier": "G73", "position": [5, 4], "step": 236, "ordinal_position": 237}, {"identifier": "P56", "position": [5, 3], "step": 237, "ordinal_position": 238}, {"identifier": "P23", "position": [5, 2], "step": 238, "ordinal_position": 239}, {"identifier": "N04", "position": [5, 1], "step": 239, "ordinal_position": 240}, {"identifier": "O91", "position": [4, 1], "step": 240, "ordinal_position": 241}, {"identifier": "J67", "position": [3, 1], "step": 241, "ordinal_position": 242}, {"identifier": "J44", "position": [2, 1], "step": 242, "ordinal_position": 243}, {"identifier": "B12", "position": [1, 1], "step": 243, "ordinal_position": 244}, {"identifier": "K98", "position": [1, 2], "step": 244, "ordinal_position": 245}, {"identifier": "U85", "position": [1, 3], "step": 245, "ordinal_position": 246}, {"identifier": "W95", "position": [1, 4], "step": 246, "ordinal_position": 247}, {"identifier": "W28", "position": [1, 5], "step": 247, "ordinal_position": 248}, {"identifier": "R35", "position": [2, 5], "step": 248, "ordinal_position": 249}, {"identifier": "V53", "position": [3, 5], "step": 249, "ordinal_position": 250}, {"identifier": "H26", "position": [4, 5], "step": 250, "ordinal_position": 251}, {"identifier": "U56", "position": [5, 5], "step": 251, "ordinal_position": 252}, {"identifier": "G73", "position": [5, 4], "step": 252, "ordinal_position": 253}, {"identifier": "P56", "position": [5, 3], "step": 253, "ordinal_position": 254}, {"identifier": "P23", "position": [5, 2], "step": 254, "ordinal_position": 255}, {"identifier": "N04", "position": [5, 1], "step": 255, "ordinal_position": 256}, {"identifier": "O91", "position": [4, 1], "step": 256, "ordinal_position": 257}, {"identifier": "J67", "position": [3, 1], "step": 257, "ordinal_position": 258}, {"identifier": "J44", "position": [2, 1], "step": 258, "ordinal_position": 259}, {"identifier": "B12", "position": [1, 1], "step": 259, "ordinal_position": 260}, {"identifier": "K98", "position": [1, 2], "step": 260, "ordinal_position": 261}, {"identifier": "U85", "position": [1, 3], "step": 261, "ordinal_position": 262}, {"identifier": "W95", "position": [1, 4], "step": 262, "ordinal_position": 263}, {"identifier": "W28", "position": [1, 5], "step": 263, "ordinal_position": 264}, {"identifier": "R35", "position": [2, 5], "step": 264, "ordinal_position": 265}, {"identifier": "V53", "position": [3, 5], "step": 265, "ordinal_position": 266}, {"identifier": "H26", "position": [4, 5], "step": 266, "ordinal_position": 267}, {"identifier": "U56", "position": [5, 5], "step": 267, "ordinal_position": 268}, {"identifier": "G73", "position": [5, 4], "step": 268, "ordinal_position": 269}, {"identifier": "P56", "position": [5, 3], "step": 269, "ordinal_position": 270}, {"identifier": "P23", "position": [5, 2], "step": 270, "ordinal_position": 271}, {"identifier": "N04", "position": [5, 1], "step": 271, "ordinal_position": 272}, {"identifier": "O91", "position": [4, 1], "step": 272, "ordinal_position": 273}, {"identifier": "J67", "position": [3, 1], "step": 273, "ordinal_position": 274}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 274, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_002.json"}} {"qa_id": "b67d981ad6734eb5b831083cc5873338", "image_id": "L3-MazeLoop-test_7x7_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J44, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 240th position in this traversal?", "start_object_id": "J44", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [240], "ordinal_strings": ["240th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "J67", 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12, "ordinal_position": 13}, {"identifier": "N04", "position": [5, 1], "step": 13, "ordinal_position": 14}, {"identifier": "O91", "position": [4, 1], "step": 14, "ordinal_position": 15}, {"identifier": "J67", "position": [3, 1], "step": 15, "ordinal_position": 16}, {"identifier": "J44", "position": [2, 1], "step": 16, "ordinal_position": 17}, {"identifier": "B12", "position": [1, 1], "step": 17, "ordinal_position": 18}, {"identifier": "K98", "position": [1, 2], "step": 18, "ordinal_position": 19}, {"identifier": "U85", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "W95", "position": [1, 4], "step": 20, "ordinal_position": 21}, {"identifier": "W28", "position": [1, 5], "step": 21, "ordinal_position": 22}, {"identifier": "R35", "position": [2, 5], "step": 22, "ordinal_position": 23}, {"identifier": "V53", "position": [3, 5], "step": 23, "ordinal_position": 24}, {"identifier": "H26", "position": [4, 5], "step": 24, "ordinal_position": 25}, {"identifier": "U56", "position": [5, 5], "step": 25, "ordinal_position": 26}, {"identifier": "G73", "position": [5, 4], "step": 26, "ordinal_position": 27}, {"identifier": "P56", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "P23", "position": [5, 2], "step": 28, "ordinal_position": 29}, {"identifier": "N04", "position": [5, 1], "step": 29, "ordinal_position": 30}, {"identifier": "O91", "position": [4, 1], "step": 30, "ordinal_position": 31}, {"identifier": "J67", "position": [3, 1], "step": 31, "ordinal_position": 32}, {"identifier": "J44", "position": [2, 1], "step": 32, "ordinal_position": 33}, {"identifier": "B12", "position": [1, 1], "step": 33, "ordinal_position": 34}, {"identifier": "K98", "position": [1, 2], "step": 34, "ordinal_position": 35}, {"identifier": "U85", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "W95", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "W28", "position": [1, 5], "step": 37, "ordinal_position": 38}, {"identifier": "R35", "position": [2, 5], "step": 38, "ordinal_position": 39}, {"identifier": "V53", "position": [3, 5], "step": 39, "ordinal_position": 40}, {"identifier": "H26", "position": [4, 5], "step": 40, "ordinal_position": 41}, {"identifier": "U56", "position": [5, 5], "step": 41, "ordinal_position": 42}, {"identifier": "G73", "position": [5, 4], "step": 42, "ordinal_position": 43}, {"identifier": "P56", "position": [5, 3], "step": 43, "ordinal_position": 44}, {"identifier": "P23", "position": [5, 2], "step": 44, "ordinal_position": 45}, {"identifier": "N04", "position": [5, 1], "step": 45, "ordinal_position": 46}, {"identifier": "O91", "position": [4, 1], "step": 46, "ordinal_position": 47}, {"identifier": "J67", "position": [3, 1], "step": 47, "ordinal_position": 48}, {"identifier": "J44", "position": [2, 1], "step": 48, "ordinal_position": 49}, {"identifier": "B12", "position": [1, 1], "step": 49, "ordinal_position": 50}, {"identifier": "K98", "position": [1, 2], 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"J67", "position": [3, 1], "step": 63, "ordinal_position": 64}, {"identifier": "J44", "position": [2, 1], "step": 64, "ordinal_position": 65}, {"identifier": "B12", "position": [1, 1], "step": 65, "ordinal_position": 66}, {"identifier": "K98", "position": [1, 2], "step": 66, "ordinal_position": 67}, {"identifier": "U85", "position": [1, 3], "step": 67, "ordinal_position": 68}, {"identifier": "W95", "position": [1, 4], "step": 68, "ordinal_position": 69}, {"identifier": "W28", "position": [1, 5], "step": 69, "ordinal_position": 70}, {"identifier": "R35", "position": [2, 5], "step": 70, "ordinal_position": 71}, {"identifier": "V53", "position": [3, 5], "step": 71, "ordinal_position": 72}, {"identifier": "H26", "position": [4, 5], "step": 72, "ordinal_position": 73}, {"identifier": "U56", "position": [5, 5], "step": 73, "ordinal_position": 74}, {"identifier": "G73", "position": [5, 4], "step": 74, "ordinal_position": 75}, {"identifier": "P56", "position": [5, 3], "step": 75, 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211, "ordinal_position": 212}, {"identifier": "W95", "position": [1, 4], "step": 212, "ordinal_position": 213}, {"identifier": "W28", "position": [1, 5], "step": 213, "ordinal_position": 214}, {"identifier": "R35", "position": [2, 5], "step": 214, "ordinal_position": 215}, {"identifier": "V53", "position": [3, 5], "step": 215, "ordinal_position": 216}, {"identifier": "H26", "position": [4, 5], "step": 216, "ordinal_position": 217}, {"identifier": "U56", "position": [5, 5], "step": 217, "ordinal_position": 218}, {"identifier": "G73", "position": [5, 4], "step": 218, "ordinal_position": 219}, {"identifier": "P56", "position": [5, 3], "step": 219, "ordinal_position": 220}, {"identifier": "P23", "position": [5, 2], "step": 220, "ordinal_position": 221}, {"identifier": "N04", "position": [5, 1], "step": 221, "ordinal_position": 222}, {"identifier": "O91", "position": [4, 1], "step": 222, "ordinal_position": 223}, {"identifier": "J67", "position": [3, 1], "step": 223, "ordinal_position": 224}, {"identifier": "J44", "position": [2, 1], "step": 224, "ordinal_position": 225}, {"identifier": "B12", "position": [1, 1], "step": 225, "ordinal_position": 226}, {"identifier": "K98", "position": [1, 2], "step": 226, "ordinal_position": 227}, {"identifier": "U85", "position": [1, 3], "step": 227, "ordinal_position": 228}, {"identifier": "W95", "position": [1, 4], "step": 228, "ordinal_position": 229}, {"identifier": "W28", "position": [1, 5], "step": 229, "ordinal_position": 230}, {"identifier": "R35", "position": [2, 5], "step": 230, "ordinal_position": 231}, {"identifier": "V53", "position": [3, 5], "step": 231, "ordinal_position": 232}, {"identifier": "H26", "position": [4, 5], "step": 232, "ordinal_position": 233}, {"identifier": "U56", "position": [5, 5], "step": 233, "ordinal_position": 234}, {"identifier": "G73", "position": [5, 4], "step": 234, "ordinal_position": 235}, {"identifier": "P56", "position": [5, 3], "step": 235, "ordinal_position": 236}, {"identifier": "P23", "position": [5, 2], "step": 236, "ordinal_position": 237}, {"identifier": "N04", "position": [5, 1], "step": 237, "ordinal_position": 238}, {"identifier": "O91", "position": [4, 1], "step": 238, "ordinal_position": 239}, {"identifier": "J67", "position": [3, 1], "step": 239, "ordinal_position": 240}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 240, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_002.json"}} {"qa_id": "fa11ade970c4446e802901969fbb05bf", "image_id": "L3-MazeLoop-test_7x7_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W95, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 167th position in this traversal?", "start_object_id": "W95", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [167], "ordinal_strings": ["167th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "G73", "traversal_path": [{"identifier": "W95", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "W28", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "R35", "position": [2, 5], "step": 2, "ordinal_position": 3}, {"identifier": "V53", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "H26", "position": [4, 5], "step": 4, "ordinal_position": 5}, {"identifier": "U56", "position": [5, 5], "step": 5, "ordinal_position": 6}, {"identifier": "G73", "position": [5, 4], "step": 6, "ordinal_position": 7}, {"identifier": "P56", "position": [5, 3], "step": 7, "ordinal_position": 8}, {"identifier": "P23", "position": [5, 2], "step": 8, "ordinal_position": 9}, {"identifier": "N04", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "O91", "position": [4, 1], "step": 10, "ordinal_position": 11}, {"identifier": "J67", "position": [3, 1], "step": 11, "ordinal_position": 12}, {"identifier": "J44", "position": [2, 1], "step": 12, "ordinal_position": 13}, {"identifier": "B12", "position": [1, 1], "step": 13, "ordinal_position": 14}, {"identifier": "K98", "position": [1, 2], "step": 14, "ordinal_position": 15}, {"identifier": "U85", "position": [1, 3], "step": 15, "ordinal_position": 16}, {"identifier": "W95", "position": [1, 4], "step": 16, "ordinal_position": 17}, {"identifier": "W28", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "R35", "position": [2, 5], "step": 18, "ordinal_position": 19}, {"identifier": "V53", "position": [3, 5], "step": 19, "ordinal_position": 20}, {"identifier": "H26", "position": [4, 5], "step": 20, "ordinal_position": 21}, {"identifier": "U56", "position": [5, 5], "step": 21, "ordinal_position": 22}, {"identifier": "G73", "position": [5, 4], "step": 22, "ordinal_position": 23}, {"identifier": "P56", "position": [5, 3], "step": 23, "ordinal_position": 24}, {"identifier": "P23", "position": [5, 2], "step": 24, "ordinal_position": 25}, {"identifier": "N04", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "O91", "position": [4, 1], "step": 26, "ordinal_position": 27}, {"identifier": "J67", "position": [3, 1], "step": 27, "ordinal_position": 28}, {"identifier": "J44", "position": [2, 1], "step": 28, "ordinal_position": 29}, {"identifier": "B12", "position": [1, 1], "step": 29, "ordinal_position": 30}, {"identifier": "K98", "position": [1, 2], "step": 30, "ordinal_position": 31}, {"identifier": "U85", "position": [1, 3], "step": 31, "ordinal_position": 32}, {"identifier": "W95", "position": [1, 4], "step": 32, "ordinal_position": 33}, {"identifier": "W28", "position": [1, 5], "step": 33, "ordinal_position": 34}, {"identifier": "R35", "position": [2, 5], "step": 34, "ordinal_position": 35}, {"identifier": "V53", "position": [3, 5], "step": 35, "ordinal_position": 36}, {"identifier": "H26", "position": [4, 5], "step": 36, "ordinal_position": 37}, {"identifier": "U56", "position": [5, 5], "step": 37, "ordinal_position": 38}, {"identifier": "G73", "position": [5, 4], "step": 38, "ordinal_position": 39}, {"identifier": "P56", "position": [5, 3], "step": 39, "ordinal_position": 40}, {"identifier": "P23", "position": [5, 2], "step": 40, "ordinal_position": 41}, {"identifier": "N04", "position": [5, 1], "step": 41, "ordinal_position": 42}, {"identifier": "O91", "position": [4, 1], "step": 42, "ordinal_position": 43}, {"identifier": "J67", "position": [3, 1], "step": 43, "ordinal_position": 44}, {"identifier": "J44", "position": [2, 1], "step": 44, "ordinal_position": 45}, {"identifier": "B12", "position": [1, 1], "step": 45, "ordinal_position": 46}, {"identifier": "K98", "position": [1, 2], "step": 46, "ordinal_position": 47}, {"identifier": "U85", "position": [1, 3], "step": 47, "ordinal_position": 48}, {"identifier": "W95", "position": [1, 4], "step": 48, "ordinal_position": 49}, {"identifier": "W28", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "R35", "position": [2, 5], "step": 50, "ordinal_position": 51}, {"identifier": "V53", "position": [3, 5], "step": 51, "ordinal_position": 52}, {"identifier": "H26", "position": [4, 5], "step": 52, "ordinal_position": 53}, {"identifier": "U56", "position": [5, 5], "step": 53, "ordinal_position": 54}, {"identifier": "G73", "position": [5, 4], "step": 54, "ordinal_position": 55}, {"identifier": "P56", "position": [5, 3], "step": 55, "ordinal_position": 56}, {"identifier": "P23", "position": [5, 2], "step": 56, "ordinal_position": 57}, {"identifier": "N04", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "O91", "position": [4, 1], "step": 58, "ordinal_position": 59}, {"identifier": "J67", "position": [3, 1], "step": 59, "ordinal_position": 60}, {"identifier": "J44", "position": [2, 1], "step": 60, "ordinal_position": 61}, {"identifier": "B12", "position": [1, 1], "step": 61, "ordinal_position": 62}, {"identifier": "K98", "position": [1, 2], "step": 62, "ordinal_position": 63}, {"identifier": "U85", "position": [1, 3], "step": 63, "ordinal_position": 64}, {"identifier": "W95", "position": [1, 4], "step": 64, "ordinal_position": 65}, {"identifier": "W28", "position": [1, 5], "step": 65, "ordinal_position": 66}, {"identifier": "R35", "position": [2, 5], "step": 66, "ordinal_position": 67}, {"identifier": "V53", "position": [3, 5], "step": 67, "ordinal_position": 68}, {"identifier": "H26", "position": [4, 5], "step": 68, "ordinal_position": 69}, {"identifier": "U56", "position": [5, 5], "step": 69, "ordinal_position": 70}, {"identifier": "G73", "position": [5, 4], "step": 70, "ordinal_position": 71}, {"identifier": "P56", "position": [5, 3], "step": 71, "ordinal_position": 72}, {"identifier": "P23", "position": [5, 2], "step": 72, "ordinal_position": 73}, {"identifier": "N04", "position": [5, 1], "step": 73, "ordinal_position": 74}, {"identifier": "O91", "position": [4, 1], "step": 74, "ordinal_position": 75}, {"identifier": "J67", "position": [3, 1], "step": 75, "ordinal_position": 76}, {"identifier": "J44", "position": [2, 1], "step": 76, "ordinal_position": 77}, {"identifier": "B12", "position": [1, 1], "step": 77, "ordinal_position": 78}, {"identifier": "K98", "position": [1, 2], "step": 78, "ordinal_position": 79}, {"identifier": "U85", "position": [1, 3], "step": 79, "ordinal_position": 80}, {"identifier": "W95", "position": [1, 4], "step": 80, "ordinal_position": 81}, {"identifier": "W28", "position": [1, 5], "step": 81, "ordinal_position": 82}, {"identifier": "R35", "position": [2, 5], "step": 82, "ordinal_position": 83}, {"identifier": "V53", "position": [3, 5], "step": 83, "ordinal_position": 84}, {"identifier": "H26", "position": [4, 5], "step": 84, "ordinal_position": 85}, {"identifier": "U56", "position": [5, 5], "step": 85, "ordinal_position": 86}, {"identifier": "G73", "position": [5, 4], "step": 86, "ordinal_position": 87}, {"identifier": "P56", "position": [5, 3], "step": 87, "ordinal_position": 88}, {"identifier": "P23", "position": [5, 2], "step": 88, "ordinal_position": 89}, {"identifier": "N04", "position": [5, 1], "step": 89, "ordinal_position": 90}, {"identifier": "O91", "position": [4, 1], "step": 90, "ordinal_position": 91}, {"identifier": "J67", "position": [3, 1], "step": 91, "ordinal_position": 92}, {"identifier": "J44", "position": [2, 1], "step": 92, "ordinal_position": 93}, {"identifier": "B12", "position": [1, 1], "step": 93, "ordinal_position": 94}, {"identifier": "K98", "position": [1, 2], "step": 94, "ordinal_position": 95}, {"identifier": "U85", "position": [1, 3], "step": 95, "ordinal_position": 96}, {"identifier": "W95", "position": [1, 4], "step": 96, "ordinal_position": 97}, {"identifier": "W28", "position": [1, 5], "step": 97, "ordinal_position": 98}, {"identifier": "R35", "position": [2, 5], "step": 98, "ordinal_position": 99}, {"identifier": "V53", "position": [3, 5], "step": 99, "ordinal_position": 100}, {"identifier": "H26", "position": [4, 5], "step": 100, "ordinal_position": 101}, {"identifier": "U56", "position": [5, 5], "step": 101, "ordinal_position": 102}, {"identifier": "G73", "position": [5, 4], "step": 102, "ordinal_position": 103}, {"identifier": "P56", "position": [5, 3], "step": 103, "ordinal_position": 104}, {"identifier": "P23", "position": [5, 2], "step": 104, "ordinal_position": 105}, {"identifier": "N04", "position": [5, 1], "step": 105, "ordinal_position": 106}, {"identifier": "O91", "position": [4, 1], "step": 106, "ordinal_position": 107}, {"identifier": "J67", "position": [3, 1], "step": 107, "ordinal_position": 108}, {"identifier": "J44", "position": [2, 1], "step": 108, "ordinal_position": 109}, {"identifier": "B12", "position": [1, 1], "step": 109, "ordinal_position": 110}, {"identifier": "K98", "position": [1, 2], "step": 110, "ordinal_position": 111}, {"identifier": "U85", "position": [1, 3], "step": 111, "ordinal_position": 112}, {"identifier": "W95", "position": [1, 4], "step": 112, "ordinal_position": 113}, {"identifier": "W28", "position": [1, 5], "step": 113, "ordinal_position": 114}, {"identifier": "R35", "position": [2, 5], "step": 114, "ordinal_position": 115}, {"identifier": "V53", "position": [3, 5], "step": 115, "ordinal_position": 116}, {"identifier": "H26", "position": [4, 5], "step": 116, "ordinal_position": 117}, {"identifier": "U56", "position": [5, 5], "step": 117, "ordinal_position": 118}, {"identifier": "G73", "position": [5, 4], "step": 118, "ordinal_position": 119}, {"identifier": "P56", "position": [5, 3], "step": 119, "ordinal_position": 120}, {"identifier": "P23", "position": [5, 2], "step": 120, "ordinal_position": 121}, {"identifier": "N04", "position": [5, 1], "step": 121, "ordinal_position": 122}, {"identifier": "O91", "position": [4, 1], "step": 122, "ordinal_position": 123}, {"identifier": "J67", "position": [3, 1], "step": 123, "ordinal_position": 124}, {"identifier": "J44", "position": [2, 1], "step": 124, "ordinal_position": 125}, {"identifier": "B12", "position": [1, 1], "step": 125, "ordinal_position": 126}, {"identifier": "K98", "position": [1, 2], "step": 126, "ordinal_position": 127}, {"identifier": "U85", "position": [1, 3], "step": 127, "ordinal_position": 128}, {"identifier": "W95", "position": [1, 4], "step": 128, "ordinal_position": 129}, {"identifier": "W28", "position": [1, 5], "step": 129, "ordinal_position": 130}, {"identifier": "R35", "position": [2, 5], "step": 130, "ordinal_position": 131}, {"identifier": "V53", "position": [3, 5], "step": 131, "ordinal_position": 132}, {"identifier": "H26", "position": [4, 5], "step": 132, "ordinal_position": 133}, {"identifier": "U56", "position": [5, 5], "step": 133, "ordinal_position": 134}, {"identifier": "G73", "position": [5, 4], "step": 134, "ordinal_position": 135}, {"identifier": "P56", "position": [5, 3], "step": 135, "ordinal_position": 136}, {"identifier": "P23", "position": [5, 2], "step": 136, "ordinal_position": 137}, {"identifier": "N04", "position": [5, 1], "step": 137, "ordinal_position": 138}, {"identifier": "O91", "position": [4, 1], "step": 138, "ordinal_position": 139}, {"identifier": "J67", "position": [3, 1], "step": 139, "ordinal_position": 140}, {"identifier": "J44", "position": [2, 1], "step": 140, "ordinal_position": 141}, {"identifier": "B12", "position": [1, 1], "step": 141, "ordinal_position": 142}, {"identifier": "K98", "position": [1, 2], "step": 142, "ordinal_position": 143}, {"identifier": "U85", "position": [1, 3], "step": 143, "ordinal_position": 144}, {"identifier": "W95", "position": [1, 4], "step": 144, "ordinal_position": 145}, {"identifier": "W28", "position": [1, 5], "step": 145, "ordinal_position": 146}, {"identifier": "R35", "position": [2, 5], "step": 146, "ordinal_position": 147}, {"identifier": "V53", "position": [3, 5], "step": 147, "ordinal_position": 148}, {"identifier": "H26", "position": [4, 5], "step": 148, "ordinal_position": 149}, {"identifier": "U56", "position": [5, 5], "step": 149, "ordinal_position": 150}, {"identifier": "G73", "position": [5, 4], "step": 150, "ordinal_position": 151}, {"identifier": "P56", "position": [5, 3], "step": 151, "ordinal_position": 152}, {"identifier": "P23", "position": [5, 2], "step": 152, "ordinal_position": 153}, {"identifier": "N04", "position": [5, 1], "step": 153, "ordinal_position": 154}, {"identifier": "O91", "position": [4, 1], "step": 154, "ordinal_position": 155}, {"identifier": "J67", "position": [3, 1], "step": 155, "ordinal_position": 156}, {"identifier": "J44", "position": [2, 1], "step": 156, "ordinal_position": 157}, {"identifier": "B12", "position": [1, 1], "step": 157, "ordinal_position": 158}, {"identifier": "K98", "position": [1, 2], "step": 158, "ordinal_position": 159}, {"identifier": "U85", "position": [1, 3], "step": 159, "ordinal_position": 160}, {"identifier": "W95", "position": [1, 4], "step": 160, "ordinal_position": 161}, {"identifier": "W28", "position": [1, 5], "step": 161, "ordinal_position": 162}, {"identifier": "R35", "position": [2, 5], "step": 162, "ordinal_position": 163}, {"identifier": "V53", "position": [3, 5], "step": 163, "ordinal_position": 164}, {"identifier": "H26", "position": [4, 5], "step": 164, "ordinal_position": 165}, {"identifier": "U56", "position": [5, 5], "step": 165, "ordinal_position": 166}, {"identifier": "G73", "position": [5, 4], "step": 166, "ordinal_position": 167}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 167, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_002.json"}} {"qa_id": "913ec6c931c84a88993c1139041d5dfa", "image_id": "L3-MazeLoop-test_7x7_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G73, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 196th position in this traversal?", "start_object_id": "G73", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [196], "ordinal_strings": ["196th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "V53", "traversal_path": [{"identifier": "G73", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "U56", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "H26", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "V53", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "R35", "position": [2, 5], "step": 4, "ordinal_position": 5}, {"identifier": "W28", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "W95", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "U85", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "K98", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "B12", "position": [1, 1], "step": 9, "ordinal_position": 10}, {"identifier": "J44", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "J67", "position": [3, 1], "step": 11, "ordinal_position": 12}, {"identifier": "O91", "position": [4, 1], "step": 12, "ordinal_position": 13}, {"identifier": "N04", "position": [5, 1], "step": 13, "ordinal_position": 14}, {"identifier": "P23", "position": [5, 2], "step": 14, "ordinal_position": 15}, {"identifier": "P56", "position": [5, 3], "step": 15, "ordinal_position": 16}, {"identifier": "G73", "position": [5, 4], "step": 16, "ordinal_position": 17}, {"identifier": "U56", "position": [5, 5], "step": 17, "ordinal_position": 18}, {"identifier": "H26", "position": [4, 5], "step": 18, "ordinal_position": 19}, {"identifier": "V53", "position": [3, 5], "step": 19, "ordinal_position": 20}, {"identifier": "R35", "position": [2, 5], "step": 20, "ordinal_position": 21}, {"identifier": "W28", "position": [1, 5], "step": 21, "ordinal_position": 22}, {"identifier": "W95", "position": [1, 4], "step": 22, "ordinal_position": 23}, {"identifier": "U85", "position": [1, 3], "step": 23, "ordinal_position": 24}, {"identifier": "K98", "position": [1, 2], "step": 24, "ordinal_position": 25}, {"identifier": "B12", "position": [1, 1], "step": 25, "ordinal_position": 26}, {"identifier": "J44", "position": [2, 1], "step": 26, "ordinal_position": 27}, {"identifier": "J67", "position": [3, 1], "step": 27, "ordinal_position": 28}, {"identifier": "O91", "position": [4, 1], "step": 28, "ordinal_position": 29}, {"identifier": "N04", "position": [5, 1], "step": 29, "ordinal_position": 30}, {"identifier": "P23", "position": [5, 2], "step": 30, "ordinal_position": 31}, {"identifier": "P56", "position": [5, 3], "step": 31, "ordinal_position": 32}, {"identifier": "G73", "position": [5, 4], "step": 32, "ordinal_position": 33}, {"identifier": "U56", "position": [5, 5], "step": 33, "ordinal_position": 34}, {"identifier": "H26", "position": [4, 5], "step": 34, "ordinal_position": 35}, {"identifier": "V53", "position": [3, 5], "step": 35, "ordinal_position": 36}, {"identifier": "R35", "position": [2, 5], "step": 36, "ordinal_position": 37}, {"identifier": "W28", "position": [1, 5], "step": 37, "ordinal_position": 38}, {"identifier": "W95", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "U85", "position": [1, 3], "step": 39, "ordinal_position": 40}, {"identifier": "K98", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "B12", "position": [1, 1], "step": 41, "ordinal_position": 42}, {"identifier": "J44", "position": [2, 1], "step": 42, "ordinal_position": 43}, {"identifier": "J67", "position": [3, 1], "step": 43, "ordinal_position": 44}, {"identifier": "O91", "position": [4, 1], "step": 44, "ordinal_position": 45}, {"identifier": "N04", "position": [5, 1], "step": 45, "ordinal_position": 46}, {"identifier": "P23", "position": [5, 2], "step": 46, "ordinal_position": 47}, {"identifier": "P56", "position": [5, 3], "step": 47, "ordinal_position": 48}, {"identifier": "G73", "position": [5, 4], "step": 48, "ordinal_position": 49}, {"identifier": "U56", "position": [5, 5], "step": 49, "ordinal_position": 50}, {"identifier": "H26", "position": [4, 5], "step": 50, "ordinal_position": 51}, {"identifier": "V53", "position": [3, 5], "step": 51, "ordinal_position": 52}, {"identifier": "R35", "position": [2, 5], "step": 52, "ordinal_position": 53}, {"identifier": "W28", "position": [1, 5], "step": 53, "ordinal_position": 54}, {"identifier": "W95", "position": [1, 4], "step": 54, "ordinal_position": 55}, {"identifier": "U85", "position": [1, 3], "step": 55, "ordinal_position": 56}, {"identifier": "K98", "position": [1, 2], "step": 56, "ordinal_position": 57}, {"identifier": "B12", "position": [1, 1], "step": 57, "ordinal_position": 58}, {"identifier": "J44", "position": [2, 1], "step": 58, "ordinal_position": 59}, {"identifier": "J67", "position": [3, 1], "step": 59, "ordinal_position": 60}, {"identifier": "O91", "position": [4, 1], "step": 60, "ordinal_position": 61}, {"identifier": "N04", "position": [5, 1], "step": 61, "ordinal_position": 62}, {"identifier": "P23", "position": [5, 2], "step": 62, "ordinal_position": 63}, {"identifier": "P56", "position": [5, 3], "step": 63, "ordinal_position": 64}, {"identifier": "G73", "position": [5, 4], "step": 64, "ordinal_position": 65}, {"identifier": "U56", "position": [5, 5], "step": 65, "ordinal_position": 66}, {"identifier": "H26", "position": [4, 5], "step": 66, "ordinal_position": 67}, {"identifier": "V53", "position": [3, 5], "step": 67, "ordinal_position": 68}, {"identifier": "R35", "position": [2, 5], "step": 68, "ordinal_position": 69}, {"identifier": "W28", "position": [1, 5], "step": 69, "ordinal_position": 70}, {"identifier": "W95", "position": [1, 4], "step": 70, "ordinal_position": 71}, {"identifier": "U85", "position": [1, 3], "step": 71, "ordinal_position": 72}, {"identifier": "K98", "position": [1, 2], "step": 72, "ordinal_position": 73}, {"identifier": "B12", "position": [1, 1], "step": 73, "ordinal_position": 74}, {"identifier": "J44", "position": [2, 1], "step": 74, "ordinal_position": 75}, {"identifier": "J67", "position": [3, 1], "step": 75, "ordinal_position": 76}, {"identifier": "O91", "position": [4, 1], "step": 76, "ordinal_position": 77}, {"identifier": "N04", "position": [5, 1], "step": 77, "ordinal_position": 78}, {"identifier": "P23", "position": [5, 2], "step": 78, "ordinal_position": 79}, {"identifier": "P56", "position": [5, 3], "step": 79, "ordinal_position": 80}, {"identifier": "G73", "position": [5, 4], "step": 80, "ordinal_position": 81}, {"identifier": "U56", "position": [5, 5], "step": 81, "ordinal_position": 82}, {"identifier": "H26", "position": [4, 5], "step": 82, "ordinal_position": 83}, {"identifier": "V53", "position": [3, 5], "step": 83, "ordinal_position": 84}, {"identifier": "R35", "position": [2, 5], "step": 84, "ordinal_position": 85}, {"identifier": "W28", "position": [1, 5], "step": 85, "ordinal_position": 86}, {"identifier": "W95", "position": [1, 4], "step": 86, "ordinal_position": 87}, {"identifier": "U85", "position": [1, 3], "step": 87, "ordinal_position": 88}, {"identifier": "K98", "position": [1, 2], "step": 88, "ordinal_position": 89}, {"identifier": "B12", "position": [1, 1], "step": 89, "ordinal_position": 90}, {"identifier": "J44", "position": [2, 1], "step": 90, "ordinal_position": 91}, {"identifier": "J67", "position": [3, 1], "step": 91, "ordinal_position": 92}, {"identifier": "O91", "position": [4, 1], "step": 92, "ordinal_position": 93}, {"identifier": "N04", "position": [5, 1], "step": 93, "ordinal_position": 94}, {"identifier": "P23", "position": [5, 2], "step": 94, "ordinal_position": 95}, {"identifier": "P56", "position": [5, 3], "step": 95, "ordinal_position": 96}, {"identifier": "G73", "position": [5, 4], "step": 96, "ordinal_position": 97}, {"identifier": "U56", "position": [5, 5], "step": 97, "ordinal_position": 98}, {"identifier": "H26", "position": [4, 5], "step": 98, "ordinal_position": 99}, {"identifier": "V53", "position": [3, 5], "step": 99, "ordinal_position": 100}, {"identifier": "R35", "position": [2, 5], "step": 100, "ordinal_position": 101}, {"identifier": "W28", "position": [1, 5], "step": 101, "ordinal_position": 102}, {"identifier": "W95", "position": [1, 4], "step": 102, "ordinal_position": 103}, {"identifier": "U85", "position": [1, 3], "step": 103, "ordinal_position": 104}, {"identifier": "K98", "position": [1, 2], "step": 104, "ordinal_position": 105}, {"identifier": "B12", "position": [1, 1], "step": 105, "ordinal_position": 106}, {"identifier": "J44", "position": [2, 1], "step": 106, "ordinal_position": 107}, {"identifier": "J67", "position": [3, 1], "step": 107, "ordinal_position": 108}, {"identifier": "O91", "position": [4, 1], "step": 108, "ordinal_position": 109}, {"identifier": "N04", "position": [5, 1], "step": 109, "ordinal_position": 110}, {"identifier": "P23", "position": [5, 2], "step": 110, "ordinal_position": 111}, {"identifier": "P56", "position": [5, 3], "step": 111, "ordinal_position": 112}, {"identifier": "G73", "position": [5, 4], "step": 112, "ordinal_position": 113}, {"identifier": "U56", "position": [5, 5], "step": 113, "ordinal_position": 114}, {"identifier": "H26", "position": [4, 5], "step": 114, "ordinal_position": 115}, {"identifier": "V53", "position": [3, 5], "step": 115, "ordinal_position": 116}, {"identifier": "R35", "position": [2, 5], "step": 116, "ordinal_position": 117}, {"identifier": "W28", "position": [1, 5], "step": 117, "ordinal_position": 118}, {"identifier": "W95", "position": [1, 4], "step": 118, "ordinal_position": 119}, {"identifier": "U85", "position": [1, 3], "step": 119, "ordinal_position": 120}, {"identifier": "K98", "position": [1, 2], "step": 120, "ordinal_position": 121}, {"identifier": "B12", "position": [1, 1], "step": 121, "ordinal_position": 122}, {"identifier": "J44", "position": [2, 1], "step": 122, "ordinal_position": 123}, {"identifier": "J67", "position": [3, 1], "step": 123, "ordinal_position": 124}, {"identifier": "O91", "position": [4, 1], "step": 124, "ordinal_position": 125}, {"identifier": "N04", "position": [5, 1], "step": 125, "ordinal_position": 126}, {"identifier": "P23", "position": [5, 2], "step": 126, "ordinal_position": 127}, {"identifier": "P56", "position": [5, 3], "step": 127, "ordinal_position": 128}, {"identifier": "G73", "position": [5, 4], "step": 128, "ordinal_position": 129}, {"identifier": "U56", "position": [5, 5], "step": 129, "ordinal_position": 130}, {"identifier": "H26", "position": [4, 5], "step": 130, "ordinal_position": 131}, {"identifier": "V53", "position": [3, 5], "step": 131, "ordinal_position": 132}, {"identifier": "R35", "position": [2, 5], "step": 132, "ordinal_position": 133}, {"identifier": "W28", "position": [1, 5], "step": 133, "ordinal_position": 134}, {"identifier": "W95", "position": [1, 4], "step": 134, "ordinal_position": 135}, {"identifier": "U85", "position": [1, 3], "step": 135, "ordinal_position": 136}, {"identifier": "K98", "position": [1, 2], "step": 136, "ordinal_position": 137}, {"identifier": "B12", "position": [1, 1], "step": 137, "ordinal_position": 138}, {"identifier": "J44", "position": [2, 1], "step": 138, "ordinal_position": 139}, {"identifier": "J67", "position": [3, 1], "step": 139, "ordinal_position": 140}, {"identifier": "O91", "position": [4, 1], "step": 140, "ordinal_position": 141}, {"identifier": "N04", "position": [5, 1], "step": 141, "ordinal_position": 142}, {"identifier": "P23", "position": [5, 2], "step": 142, "ordinal_position": 143}, {"identifier": "P56", "position": [5, 3], "step": 143, "ordinal_position": 144}, {"identifier": "G73", "position": [5, 4], "step": 144, "ordinal_position": 145}, {"identifier": "U56", "position": [5, 5], "step": 145, "ordinal_position": 146}, {"identifier": "H26", "position": [4, 5], "step": 146, "ordinal_position": 147}, {"identifier": "V53", "position": [3, 5], "step": 147, "ordinal_position": 148}, {"identifier": "R35", "position": [2, 5], "step": 148, "ordinal_position": 149}, {"identifier": "W28", "position": [1, 5], "step": 149, "ordinal_position": 150}, {"identifier": "W95", "position": [1, 4], "step": 150, "ordinal_position": 151}, {"identifier": "U85", "position": [1, 3], "step": 151, "ordinal_position": 152}, {"identifier": "K98", "position": [1, 2], "step": 152, "ordinal_position": 153}, {"identifier": "B12", "position": [1, 1], "step": 153, "ordinal_position": 154}, {"identifier": "J44", "position": [2, 1], "step": 154, "ordinal_position": 155}, {"identifier": "J67", "position": [3, 1], "step": 155, "ordinal_position": 156}, {"identifier": "O91", "position": [4, 1], "step": 156, "ordinal_position": 157}, {"identifier": "N04", "position": [5, 1], "step": 157, "ordinal_position": 158}, {"identifier": "P23", "position": [5, 2], "step": 158, "ordinal_position": 159}, {"identifier": "P56", "position": [5, 3], "step": 159, "ordinal_position": 160}, {"identifier": "G73", "position": [5, 4], "step": 160, "ordinal_position": 161}, {"identifier": "U56", "position": [5, 5], "step": 161, "ordinal_position": 162}, {"identifier": "H26", "position": [4, 5], "step": 162, "ordinal_position": 163}, {"identifier": "V53", "position": [3, 5], "step": 163, "ordinal_position": 164}, {"identifier": "R35", "position": [2, 5], "step": 164, "ordinal_position": 165}, {"identifier": "W28", "position": [1, 5], "step": 165, "ordinal_position": 166}, {"identifier": "W95", "position": [1, 4], "step": 166, "ordinal_position": 167}, {"identifier": "U85", "position": [1, 3], "step": 167, "ordinal_position": 168}, {"identifier": "K98", "position": [1, 2], "step": 168, "ordinal_position": 169}, {"identifier": "B12", "position": [1, 1], "step": 169, "ordinal_position": 170}, {"identifier": "J44", "position": [2, 1], "step": 170, "ordinal_position": 171}, {"identifier": "J67", "position": [3, 1], "step": 171, "ordinal_position": 172}, {"identifier": "O91", "position": [4, 1], "step": 172, "ordinal_position": 173}, {"identifier": "N04", "position": [5, 1], "step": 173, "ordinal_position": 174}, {"identifier": "P23", "position": [5, 2], "step": 174, "ordinal_position": 175}, {"identifier": "P56", "position": [5, 3], "step": 175, "ordinal_position": 176}, {"identifier": "G73", "position": [5, 4], "step": 176, "ordinal_position": 177}, {"identifier": "U56", "position": [5, 5], "step": 177, "ordinal_position": 178}, {"identifier": "H26", "position": [4, 5], "step": 178, "ordinal_position": 179}, {"identifier": "V53", "position": [3, 5], "step": 179, "ordinal_position": 180}, {"identifier": "R35", "position": [2, 5], "step": 180, "ordinal_position": 181}, {"identifier": "W28", "position": [1, 5], "step": 181, "ordinal_position": 182}, {"identifier": "W95", "position": [1, 4], "step": 182, "ordinal_position": 183}, {"identifier": "U85", "position": [1, 3], "step": 183, "ordinal_position": 184}, {"identifier": "K98", "position": [1, 2], "step": 184, "ordinal_position": 185}, {"identifier": "B12", "position": [1, 1], "step": 185, "ordinal_position": 186}, {"identifier": "J44", "position": [2, 1], "step": 186, "ordinal_position": 187}, {"identifier": "J67", "position": [3, 1], "step": 187, "ordinal_position": 188}, {"identifier": "O91", "position": [4, 1], "step": 188, "ordinal_position": 189}, {"identifier": "N04", "position": [5, 1], "step": 189, "ordinal_position": 190}, {"identifier": "P23", "position": [5, 2], "step": 190, "ordinal_position": 191}, {"identifier": "P56", "position": [5, 3], "step": 191, "ordinal_position": 192}, {"identifier": "G73", "position": [5, 4], "step": 192, "ordinal_position": 193}, {"identifier": "U56", "position": [5, 5], "step": 193, "ordinal_position": 194}, {"identifier": "H26", "position": [4, 5], "step": 194, "ordinal_position": 195}, {"identifier": "V53", "position": [3, 5], "step": 195, "ordinal_position": 196}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 196, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_002.json"}} {"qa_id": "1f049ea8ef0848e7a45123bf72c45984", "image_id": "L3-MazeLoop-test_7x7_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B27, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "B27", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "G21", "traversal_path": [{"identifier": "B27", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "T51", "position": [5, 2], "step": 1, "ordinal_position": 2}, {"identifier": "L03", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "W51", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "G21", "position": [3, 1], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_003.json"}} {"qa_id": "3287485065734bbb91f54c6e7219f1fd", "image_id": "L3-MazeLoop-test_7x7_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B27, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "B27", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "G52", "traversal_path": [{"identifier": "B27", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "G52", "position": [4, 3], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 2, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_003.json"}} {"qa_id": "3fc23e790e1849a79621571bad08ba63", "image_id": "L3-MazeLoop-test_7x7_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q26, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "Q26", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "M33", "traversal_path": [{"identifier": "Q26", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "Y36", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "V42", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "M33", "position": [1, 5], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_003.json"}} {"qa_id": "0a47b4c230b74ec7953d151c88b7ba13", "image_id": "L3-MazeLoop-test_7x7_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M33, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "M33", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Q26", "traversal_path": [{"identifier": "M33", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "V42", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "Y36", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "Q26", "position": [1, 2], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_003.json"}} {"qa_id": "2d80ef9a8ce04b18b77f0d3908d0d1b4", "image_id": "L3-MazeLoop-test_7x7_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P97, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "P97", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "W51", "traversal_path": [{"identifier": "P97", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "A62", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "G21", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "W51", "position": [4, 1], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_003.json"}} {"qa_id": "bb0e595b5a1a47be9ced06a8ebfc0717", "image_id": "L3-MazeLoop-test_7x7_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G52, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 70th position in this traversal?", "start_object_id": "G52", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [70], "ordinal_strings": ["70th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "P97", "traversal_path": [{"identifier": "G52", "position": [4, 3], "step": 0, "ordinal_position": 1}, {"identifier": "B75", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "W15", "position": [2, 3], "step": 2, "ordinal_position": 3}, {"identifier": "Y36", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "Q26", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "P97", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "A62", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "G21", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "W51", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "L03", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "T51", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "B27", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "C62", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "Y21", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "T36", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "J49", "position": [3, 5], "step": 15, "ordinal_position": 16}, {"identifier": "G16", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "M33", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "V42", "position": [1, 4], "step": 18, "ordinal_position": 19}, {"identifier": "Y36", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "Q26", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "P97", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "A62", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "G21", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "W51", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "L03", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "T51", "position": [5, 2], "step": 26, "ordinal_position": 27}, {"identifier": "B27", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "C62", "position": [5, 4], "step": 28, "ordinal_position": 29}, {"identifier": "Y21", "position": [5, 5], "step": 29, "ordinal_position": 30}, {"identifier": "T36", "position": [4, 5], "step": 30, "ordinal_position": 31}, {"identifier": "J49", "position": [3, 5], "step": 31, "ordinal_position": 32}, {"identifier": "G16", "position": [2, 5], "step": 32, "ordinal_position": 33}, {"identifier": "M33", "position": [1, 5], "step": 33, "ordinal_position": 34}, {"identifier": "V42", "position": [1, 4], "step": 34, "ordinal_position": 35}, {"identifier": "Y36", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "Q26", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "P97", "position": [1, 1], "step": 37, "ordinal_position": 38}, {"identifier": "A62", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "G21", "position": [3, 1], "step": 39, "ordinal_position": 40}, {"identifier": "W51", "position": [4, 1], "step": 40, "ordinal_position": 41}, {"identifier": "L03", "position": [5, 1], "step": 41, "ordinal_position": 42}, {"identifier": "T51", "position": [5, 2], "step": 42, "ordinal_position": 43}, {"identifier": "B27", "position": [5, 3], "step": 43, "ordinal_position": 44}, {"identifier": "C62", "position": [5, 4], "step": 44, "ordinal_position": 45}, {"identifier": "Y21", "position": [5, 5], "step": 45, "ordinal_position": 46}, {"identifier": "T36", "position": [4, 5], "step": 46, "ordinal_position": 47}, {"identifier": "J49", "position": [3, 5], "step": 47, "ordinal_position": 48}, {"identifier": "G16", "position": [2, 5], "step": 48, "ordinal_position": 49}, {"identifier": "M33", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "V42", "position": [1, 4], "step": 50, "ordinal_position": 51}, {"identifier": "Y36", "position": [1, 3], "step": 51, "ordinal_position": 52}, {"identifier": "Q26", "position": [1, 2], "step": 52, "ordinal_position": 53}, {"identifier": "P97", "position": [1, 1], "step": 53, "ordinal_position": 54}, {"identifier": "A62", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "G21", "position": [3, 1], "step": 55, "ordinal_position": 56}, {"identifier": "W51", "position": [4, 1], "step": 56, "ordinal_position": 57}, {"identifier": "L03", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "T51", "position": [5, 2], "step": 58, "ordinal_position": 59}, {"identifier": "B27", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "C62", "position": [5, 4], "step": 60, "ordinal_position": 61}, {"identifier": "Y21", "position": [5, 5], "step": 61, "ordinal_position": 62}, {"identifier": "T36", "position": [4, 5], "step": 62, "ordinal_position": 63}, {"identifier": "J49", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "G16", "position": [2, 5], "step": 64, "ordinal_position": 65}, {"identifier": "M33", "position": [1, 5], "step": 65, "ordinal_position": 66}, {"identifier": "V42", "position": [1, 4], "step": 66, "ordinal_position": 67}, {"identifier": "Y36", "position": [1, 3], "step": 67, "ordinal_position": 68}, {"identifier": "Q26", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "P97", "position": [1, 1], "step": 69, "ordinal_position": 70}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 70, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_003.json"}} {"qa_id": "4866c56f9b614032bf635adeba7bbbd7", "image_id": "L3-MazeLoop-test_7x7_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B27, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 73rd position in this traversal?", "start_object_id": "B27", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [73], "ordinal_strings": ["73rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Y36", "traversal_path": [{"identifier": "B27", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "T51", "position": [5, 2], "step": 1, "ordinal_position": 2}, {"identifier": "L03", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "W51", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "G21", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "A62", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "P97", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Q26", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "Y36", "position": [1, 3], "step": 8, "ordinal_position": 9}, {"identifier": "V42", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "M33", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "G16", "position": [2, 5], "step": 11, "ordinal_position": 12}, {"identifier": "J49", "position": [3, 5], "step": 12, "ordinal_position": 13}, {"identifier": "T36", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "Y21", "position": [5, 5], "step": 14, "ordinal_position": 15}, {"identifier": "C62", "position": [5, 4], "step": 15, "ordinal_position": 16}, {"identifier": "B27", "position": [5, 3], "step": 16, "ordinal_position": 17}, {"identifier": "T51", "position": [5, 2], "step": 17, "ordinal_position": 18}, {"identifier": "L03", "position": [5, 1], "step": 18, "ordinal_position": 19}, {"identifier": "W51", "position": [4, 1], "step": 19, "ordinal_position": 20}, {"identifier": "G21", "position": [3, 1], "step": 20, "ordinal_position": 21}, {"identifier": "A62", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "P97", "position": [1, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Q26", "position": [1, 2], "step": 23, "ordinal_position": 24}, {"identifier": "Y36", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "V42", "position": [1, 4], "step": 25, "ordinal_position": 26}, {"identifier": "M33", "position": [1, 5], "step": 26, "ordinal_position": 27}, {"identifier": "G16", "position": [2, 5], "step": 27, "ordinal_position": 28}, {"identifier": "J49", "position": [3, 5], "step": 28, "ordinal_position": 29}, {"identifier": "T36", "position": [4, 5], "step": 29, "ordinal_position": 30}, {"identifier": "Y21", "position": [5, 5], "step": 30, "ordinal_position": 31}, {"identifier": "C62", "position": [5, 4], "step": 31, "ordinal_position": 32}, {"identifier": "B27", "position": [5, 3], "step": 32, "ordinal_position": 33}, {"identifier": "T51", "position": [5, 2], "step": 33, "ordinal_position": 34}, {"identifier": "L03", "position": [5, 1], "step": 34, "ordinal_position": 35}, {"identifier": "W51", "position": [4, 1], "step": 35, "ordinal_position": 36}, {"identifier": "G21", "position": [3, 1], "step": 36, "ordinal_position": 37}, {"identifier": "A62", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "P97", "position": [1, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Q26", "position": [1, 2], "step": 39, "ordinal_position": 40}, {"identifier": "Y36", "position": [1, 3], "step": 40, "ordinal_position": 41}, {"identifier": "V42", "position": [1, 4], "step": 41, "ordinal_position": 42}, {"identifier": "M33", "position": [1, 5], "step": 42, "ordinal_position": 43}, {"identifier": "G16", "position": [2, 5], "step": 43, "ordinal_position": 44}, {"identifier": "J49", "position": [3, 5], "step": 44, "ordinal_position": 45}, {"identifier": "T36", "position": [4, 5], "step": 45, "ordinal_position": 46}, {"identifier": "Y21", "position": [5, 5], "step": 46, "ordinal_position": 47}, {"identifier": "C62", "position": [5, 4], "step": 47, "ordinal_position": 48}, {"identifier": "B27", "position": [5, 3], "step": 48, "ordinal_position": 49}, {"identifier": "T51", "position": [5, 2], "step": 49, "ordinal_position": 50}, {"identifier": "L03", "position": [5, 1], "step": 50, "ordinal_position": 51}, {"identifier": "W51", "position": [4, 1], "step": 51, "ordinal_position": 52}, {"identifier": "G21", "position": [3, 1], "step": 52, "ordinal_position": 53}, {"identifier": "A62", "position": [2, 1], "step": 53, "ordinal_position": 54}, {"identifier": "P97", "position": [1, 1], "step": 54, "ordinal_position": 55}, {"identifier": "Q26", "position": [1, 2], "step": 55, "ordinal_position": 56}, {"identifier": "Y36", "position": [1, 3], "step": 56, "ordinal_position": 57}, {"identifier": "V42", "position": [1, 4], "step": 57, "ordinal_position": 58}, {"identifier": "M33", "position": [1, 5], "step": 58, "ordinal_position": 59}, {"identifier": "G16", "position": [2, 5], "step": 59, "ordinal_position": 60}, {"identifier": "J49", "position": [3, 5], "step": 60, "ordinal_position": 61}, {"identifier": "T36", "position": [4, 5], "step": 61, "ordinal_position": 62}, {"identifier": "Y21", "position": [5, 5], "step": 62, "ordinal_position": 63}, {"identifier": "C62", "position": [5, 4], "step": 63, "ordinal_position": 64}, {"identifier": "B27", "position": [5, 3], "step": 64, "ordinal_position": 65}, {"identifier": "T51", "position": [5, 2], "step": 65, "ordinal_position": 66}, {"identifier": "L03", "position": [5, 1], "step": 66, "ordinal_position": 67}, {"identifier": "W51", "position": [4, 1], "step": 67, "ordinal_position": 68}, {"identifier": "G21", "position": [3, 1], "step": 68, "ordinal_position": 69}, {"identifier": "A62", "position": [2, 1], "step": 69, "ordinal_position": 70}, {"identifier": "P97", "position": [1, 1], "step": 70, "ordinal_position": 71}, {"identifier": "Q26", "position": [1, 2], "step": 71, "ordinal_position": 72}, {"identifier": "Y36", "position": [1, 3], "step": 72, "ordinal_position": 73}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 73, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_003.json"}} {"qa_id": "4f9539a73c4243a99de04dff478dcaa8", "image_id": "L3-MazeLoop-test_7x7_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T36, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 28th position in this traversal?", "start_object_id": "T36", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [28], "ordinal_strings": ["28th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Y36", "traversal_path": [{"identifier": "T36", "position": [4, 5], "step": 0, "ordinal_position": 1}, {"identifier": "Y21", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "C62", "position": [5, 4], "step": 2, "ordinal_position": 3}, {"identifier": "B27", "position": [5, 3], "step": 3, "ordinal_position": 4}, {"identifier": "T51", "position": [5, 2], "step": 4, "ordinal_position": 5}, {"identifier": "L03", "position": [5, 1], "step": 5, "ordinal_position": 6}, {"identifier": "W51", "position": [4, 1], "step": 6, "ordinal_position": 7}, {"identifier": "G21", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "A62", "position": [2, 1], "step": 8, "ordinal_position": 9}, {"identifier": "P97", "position": [1, 1], "step": 9, "ordinal_position": 10}, {"identifier": "Q26", "position": [1, 2], "step": 10, "ordinal_position": 11}, {"identifier": "Y36", "position": [1, 3], "step": 11, "ordinal_position": 12}, {"identifier": "V42", "position": [1, 4], "step": 12, "ordinal_position": 13}, {"identifier": "M33", "position": [1, 5], "step": 13, "ordinal_position": 14}, {"identifier": "G16", "position": [2, 5], "step": 14, "ordinal_position": 15}, {"identifier": "J49", "position": [3, 5], "step": 15, "ordinal_position": 16}, {"identifier": "T36", "position": [4, 5], "step": 16, "ordinal_position": 17}, {"identifier": "Y21", "position": [5, 5], "step": 17, "ordinal_position": 18}, {"identifier": "C62", "position": [5, 4], "step": 18, "ordinal_position": 19}, {"identifier": "B27", "position": [5, 3], "step": 19, "ordinal_position": 20}, {"identifier": "T51", "position": [5, 2], "step": 20, "ordinal_position": 21}, {"identifier": "L03", "position": [5, 1], "step": 21, "ordinal_position": 22}, {"identifier": "W51", "position": [4, 1], "step": 22, "ordinal_position": 23}, {"identifier": "G21", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "A62", "position": [2, 1], "step": 24, "ordinal_position": 25}, {"identifier": "P97", "position": [1, 1], "step": 25, "ordinal_position": 26}, {"identifier": "Q26", "position": [1, 2], "step": 26, "ordinal_position": 27}, {"identifier": "Y36", "position": [1, 3], "step": 27, "ordinal_position": 28}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 28, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_003.json"}} {"qa_id": "d906d80e1cac401ebf19e5b7c94efc85", "image_id": "L3-MazeLoop-test_7x7_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B27, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 64th position in this traversal?", "start_object_id": "B27", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [64], "ordinal_strings": ["64th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "C62", "traversal_path": [{"identifier": "B27", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "T51", "position": [5, 2], "step": 1, "ordinal_position": 2}, {"identifier": "L03", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "W51", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "G21", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "A62", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "P97", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Q26", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "Y36", "position": [1, 3], "step": 8, "ordinal_position": 9}, {"identifier": "V42", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "M33", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "G16", "position": [2, 5], "step": 11, "ordinal_position": 12}, {"identifier": "J49", "position": [3, 5], "step": 12, "ordinal_position": 13}, {"identifier": "T36", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "Y21", "position": [5, 5], "step": 14, "ordinal_position": 15}, {"identifier": "C62", "position": [5, 4], "step": 15, "ordinal_position": 16}, {"identifier": "B27", "position": [5, 3], "step": 16, "ordinal_position": 17}, {"identifier": "T51", "position": [5, 2], "step": 17, "ordinal_position": 18}, {"identifier": "L03", "position": [5, 1], "step": 18, "ordinal_position": 19}, {"identifier": "W51", "position": [4, 1], "step": 19, "ordinal_position": 20}, {"identifier": "G21", "position": [3, 1], "step": 20, "ordinal_position": 21}, {"identifier": "A62", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "P97", "position": [1, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Q26", "position": [1, 2], "step": 23, "ordinal_position": 24}, {"identifier": "Y36", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "V42", "position": [1, 4], "step": 25, "ordinal_position": 26}, {"identifier": "M33", "position": [1, 5], "step": 26, "ordinal_position": 27}, {"identifier": "G16", "position": [2, 5], "step": 27, "ordinal_position": 28}, {"identifier": "J49", "position": [3, 5], "step": 28, "ordinal_position": 29}, {"identifier": "T36", "position": [4, 5], "step": 29, "ordinal_position": 30}, {"identifier": "Y21", "position": [5, 5], "step": 30, "ordinal_position": 31}, {"identifier": "C62", "position": [5, 4], "step": 31, "ordinal_position": 32}, {"identifier": "B27", "position": [5, 3], "step": 32, "ordinal_position": 33}, {"identifier": "T51", "position": [5, 2], "step": 33, "ordinal_position": 34}, {"identifier": "L03", "position": [5, 1], "step": 34, "ordinal_position": 35}, {"identifier": "W51", "position": [4, 1], "step": 35, "ordinal_position": 36}, {"identifier": "G21", "position": [3, 1], "step": 36, "ordinal_position": 37}, {"identifier": "A62", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "P97", "position": [1, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Q26", "position": [1, 2], "step": 39, "ordinal_position": 40}, {"identifier": "Y36", "position": [1, 3], "step": 40, "ordinal_position": 41}, {"identifier": "V42", "position": [1, 4], "step": 41, "ordinal_position": 42}, {"identifier": "M33", "position": [1, 5], "step": 42, "ordinal_position": 43}, {"identifier": "G16", "position": [2, 5], "step": 43, "ordinal_position": 44}, {"identifier": "J49", "position": [3, 5], "step": 44, "ordinal_position": 45}, {"identifier": "T36", "position": [4, 5], "step": 45, "ordinal_position": 46}, {"identifier": "Y21", "position": [5, 5], "step": 46, "ordinal_position": 47}, {"identifier": "C62", "position": [5, 4], "step": 47, "ordinal_position": 48}, {"identifier": "B27", "position": [5, 3], "step": 48, "ordinal_position": 49}, {"identifier": "T51", "position": [5, 2], "step": 49, "ordinal_position": 50}, {"identifier": "L03", "position": [5, 1], "step": 50, "ordinal_position": 51}, {"identifier": "W51", "position": [4, 1], "step": 51, "ordinal_position": 52}, {"identifier": "G21", "position": [3, 1], "step": 52, "ordinal_position": 53}, {"identifier": "A62", "position": [2, 1], "step": 53, "ordinal_position": 54}, {"identifier": "P97", "position": [1, 1], "step": 54, "ordinal_position": 55}, {"identifier": "Q26", "position": [1, 2], "step": 55, "ordinal_position": 56}, {"identifier": "Y36", "position": [1, 3], "step": 56, "ordinal_position": 57}, {"identifier": "V42", "position": [1, 4], "step": 57, "ordinal_position": 58}, {"identifier": "M33", "position": [1, 5], "step": 58, "ordinal_position": 59}, {"identifier": "G16", "position": [2, 5], "step": 59, "ordinal_position": 60}, {"identifier": "J49", "position": [3, 5], "step": 60, "ordinal_position": 61}, {"identifier": "T36", "position": [4, 5], "step": 61, "ordinal_position": 62}, {"identifier": "Y21", "position": [5, 5], "step": 62, "ordinal_position": 63}, {"identifier": "C62", "position": [5, 4], "step": 63, "ordinal_position": 64}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 64, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_003.json"}} {"qa_id": "654d55cb21274ca5a6afd6dec55fcaf2", "image_id": "L3-MazeLoop-test_7x7_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G16, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 56th position in this traversal?", "start_object_id": "G16", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [56], "ordinal_strings": ["56th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "L03", "traversal_path": [{"identifier": "G16", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "J49", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "T36", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "Y21", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "C62", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "B27", "position": [5, 3], "step": 5, "ordinal_position": 6}, {"identifier": "T51", "position": [5, 2], "step": 6, "ordinal_position": 7}, {"identifier": "L03", "position": [5, 1], "step": 7, "ordinal_position": 8}, {"identifier": "W51", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "G21", "position": [3, 1], "step": 9, "ordinal_position": 10}, {"identifier": "A62", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "P97", "position": [1, 1], "step": 11, "ordinal_position": 12}, {"identifier": "Q26", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "Y36", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "V42", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "M33", "position": [1, 5], "step": 15, "ordinal_position": 16}, {"identifier": "G16", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "J49", "position": [3, 5], "step": 17, "ordinal_position": 18}, {"identifier": "T36", "position": [4, 5], "step": 18, "ordinal_position": 19}, {"identifier": "Y21", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "C62", "position": [5, 4], "step": 20, "ordinal_position": 21}, {"identifier": "B27", "position": [5, 3], "step": 21, "ordinal_position": 22}, {"identifier": "T51", "position": [5, 2], "step": 22, "ordinal_position": 23}, {"identifier": "L03", "position": [5, 1], "step": 23, "ordinal_position": 24}, {"identifier": "W51", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "G21", "position": [3, 1], "step": 25, "ordinal_position": 26}, {"identifier": "A62", "position": [2, 1], "step": 26, "ordinal_position": 27}, {"identifier": "P97", "position": [1, 1], "step": 27, "ordinal_position": 28}, {"identifier": "Q26", "position": [1, 2], "step": 28, "ordinal_position": 29}, {"identifier": "Y36", "position": [1, 3], "step": 29, "ordinal_position": 30}, {"identifier": "V42", "position": [1, 4], "step": 30, "ordinal_position": 31}, {"identifier": "M33", "position": [1, 5], "step": 31, "ordinal_position": 32}, {"identifier": "G16", "position": [2, 5], "step": 32, "ordinal_position": 33}, {"identifier": "J49", "position": [3, 5], "step": 33, "ordinal_position": 34}, {"identifier": "T36", "position": [4, 5], "step": 34, "ordinal_position": 35}, {"identifier": "Y21", "position": [5, 5], "step": 35, "ordinal_position": 36}, {"identifier": "C62", "position": [5, 4], "step": 36, "ordinal_position": 37}, {"identifier": "B27", "position": [5, 3], "step": 37, "ordinal_position": 38}, {"identifier": "T51", "position": [5, 2], "step": 38, "ordinal_position": 39}, {"identifier": "L03", "position": [5, 1], "step": 39, "ordinal_position": 40}, {"identifier": "W51", "position": [4, 1], "step": 40, "ordinal_position": 41}, {"identifier": "G21", "position": [3, 1], "step": 41, "ordinal_position": 42}, {"identifier": "A62", "position": [2, 1], "step": 42, "ordinal_position": 43}, {"identifier": "P97", "position": [1, 1], "step": 43, "ordinal_position": 44}, {"identifier": "Q26", "position": [1, 2], "step": 44, "ordinal_position": 45}, {"identifier": "Y36", "position": [1, 3], "step": 45, "ordinal_position": 46}, {"identifier": "V42", "position": [1, 4], "step": 46, "ordinal_position": 47}, {"identifier": "M33", "position": [1, 5], "step": 47, "ordinal_position": 48}, {"identifier": "G16", "position": [2, 5], "step": 48, "ordinal_position": 49}, {"identifier": "J49", "position": [3, 5], "step": 49, "ordinal_position": 50}, {"identifier": "T36", "position": [4, 5], "step": 50, "ordinal_position": 51}, {"identifier": "Y21", "position": [5, 5], "step": 51, "ordinal_position": 52}, {"identifier": "C62", "position": [5, 4], "step": 52, "ordinal_position": 53}, {"identifier": "B27", "position": [5, 3], "step": 53, "ordinal_position": 54}, {"identifier": "T51", "position": [5, 2], "step": 54, "ordinal_position": 55}, {"identifier": "L03", "position": [5, 1], "step": 55, "ordinal_position": 56}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 56, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_003.json"}} {"qa_id": "11b5f51ae3df44dd8afa6a0135c57a3f", "image_id": "L3-MazeLoop-test_7x7_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V42, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 190th position in this traversal?", "start_object_id": "V42", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [190], "ordinal_strings": ["190th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "P97", "traversal_path": [{"identifier": "V42", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "M33", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "G16", "position": [2, 5], "step": 2, "ordinal_position": 3}, {"identifier": "J49", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "T36", "position": [4, 5], "step": 4, "ordinal_position": 5}, {"identifier": "Y21", "position": [5, 5], "step": 5, "ordinal_position": 6}, {"identifier": "C62", "position": [5, 4], "step": 6, "ordinal_position": 7}, {"identifier": "B27", "position": [5, 3], "step": 7, "ordinal_position": 8}, {"identifier": "T51", "position": [5, 2], "step": 8, "ordinal_position": 9}, {"identifier": "L03", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "W51", "position": [4, 1], "step": 10, "ordinal_position": 11}, {"identifier": "G21", "position": [3, 1], "step": 11, "ordinal_position": 12}, {"identifier": "A62", "position": [2, 1], "step": 12, "ordinal_position": 13}, {"identifier": "P97", "position": [1, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Q26", "position": [1, 2], "step": 14, "ordinal_position": 15}, {"identifier": "Y36", "position": [1, 3], "step": 15, "ordinal_position": 16}, {"identifier": "V42", "position": [1, 4], "step": 16, "ordinal_position": 17}, {"identifier": "M33", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "G16", "position": [2, 5], "step": 18, "ordinal_position": 19}, {"identifier": "J49", "position": [3, 5], "step": 19, "ordinal_position": 20}, {"identifier": "T36", "position": [4, 5], "step": 20, "ordinal_position": 21}, {"identifier": "Y21", "position": [5, 5], "step": 21, "ordinal_position": 22}, {"identifier": "C62", "position": [5, 4], "step": 22, "ordinal_position": 23}, {"identifier": "B27", "position": [5, 3], "step": 23, "ordinal_position": 24}, {"identifier": "T51", "position": [5, 2], "step": 24, "ordinal_position": 25}, {"identifier": "L03", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "W51", "position": [4, 1], "step": 26, "ordinal_position": 27}, {"identifier": "G21", "position": [3, 1], "step": 27, "ordinal_position": 28}, {"identifier": "A62", "position": [2, 1], "step": 28, "ordinal_position": 29}, {"identifier": "P97", "position": [1, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Q26", "position": [1, 2], "step": 30, "ordinal_position": 31}, {"identifier": "Y36", "position": [1, 3], "step": 31, "ordinal_position": 32}, {"identifier": "V42", "position": [1, 4], "step": 32, "ordinal_position": 33}, {"identifier": "M33", "position": [1, 5], "step": 33, "ordinal_position": 34}, {"identifier": "G16", "position": [2, 5], "step": 34, "ordinal_position": 35}, {"identifier": "J49", "position": [3, 5], "step": 35, "ordinal_position": 36}, {"identifier": "T36", "position": [4, 5], "step": 36, "ordinal_position": 37}, {"identifier": "Y21", "position": [5, 5], "step": 37, "ordinal_position": 38}, {"identifier": "C62", "position": [5, 4], "step": 38, "ordinal_position": 39}, {"identifier": "B27", "position": [5, 3], "step": 39, "ordinal_position": 40}, {"identifier": "T51", "position": [5, 2], "step": 40, "ordinal_position": 41}, {"identifier": "L03", "position": [5, 1], "step": 41, "ordinal_position": 42}, {"identifier": "W51", "position": [4, 1], "step": 42, "ordinal_position": 43}, {"identifier": "G21", "position": [3, 1], "step": 43, "ordinal_position": 44}, {"identifier": "A62", "position": [2, 1], "step": 44, "ordinal_position": 45}, {"identifier": "P97", "position": [1, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Q26", "position": [1, 2], "step": 46, "ordinal_position": 47}, {"identifier": "Y36", "position": [1, 3], "step": 47, "ordinal_position": 48}, {"identifier": "V42", "position": [1, 4], "step": 48, "ordinal_position": 49}, {"identifier": "M33", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "G16", "position": [2, 5], "step": 50, "ordinal_position": 51}, {"identifier": "J49", "position": [3, 5], "step": 51, "ordinal_position": 52}, {"identifier": "T36", "position": [4, 5], "step": 52, "ordinal_position": 53}, {"identifier": "Y21", "position": [5, 5], "step": 53, "ordinal_position": 54}, {"identifier": "C62", "position": [5, 4], "step": 54, "ordinal_position": 55}, {"identifier": "B27", "position": [5, 3], "step": 55, "ordinal_position": 56}, {"identifier": "T51", "position": [5, 2], "step": 56, "ordinal_position": 57}, {"identifier": "L03", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "W51", "position": [4, 1], "step": 58, "ordinal_position": 59}, {"identifier": "G21", "position": [3, 1], "step": 59, "ordinal_position": 60}, {"identifier": "A62", "position": [2, 1], "step": 60, "ordinal_position": 61}, {"identifier": "P97", "position": [1, 1], "step": 61, "ordinal_position": 62}, {"identifier": "Q26", "position": [1, 2], "step": 62, "ordinal_position": 63}, {"identifier": "Y36", "position": [1, 3], "step": 63, "ordinal_position": 64}, {"identifier": "V42", "position": [1, 4], "step": 64, "ordinal_position": 65}, {"identifier": "M33", "position": [1, 5], "step": 65, "ordinal_position": 66}, {"identifier": "G16", "position": [2, 5], "step": 66, "ordinal_position": 67}, {"identifier": "J49", "position": [3, 5], "step": 67, "ordinal_position": 68}, {"identifier": "T36", "position": [4, 5], "step": 68, "ordinal_position": 69}, {"identifier": "Y21", "position": [5, 5], "step": 69, "ordinal_position": 70}, {"identifier": "C62", "position": [5, 4], "step": 70, "ordinal_position": 71}, {"identifier": "B27", "position": [5, 3], "step": 71, "ordinal_position": 72}, {"identifier": "T51", "position": [5, 2], "step": 72, "ordinal_position": 73}, {"identifier": "L03", "position": [5, 1], "step": 73, "ordinal_position": 74}, {"identifier": "W51", "position": [4, 1], "step": 74, "ordinal_position": 75}, {"identifier": "G21", "position": [3, 1], "step": 75, "ordinal_position": 76}, {"identifier": "A62", "position": [2, 1], "step": 76, "ordinal_position": 77}, {"identifier": "P97", "position": [1, 1], "step": 77, "ordinal_position": 78}, {"identifier": "Q26", "position": [1, 2], "step": 78, "ordinal_position": 79}, {"identifier": "Y36", "position": [1, 3], "step": 79, "ordinal_position": 80}, {"identifier": "V42", "position": [1, 4], "step": 80, "ordinal_position": 81}, {"identifier": "M33", "position": [1, 5], "step": 81, "ordinal_position": 82}, {"identifier": "G16", "position": [2, 5], "step": 82, "ordinal_position": 83}, {"identifier": "J49", "position": [3, 5], "step": 83, "ordinal_position": 84}, {"identifier": "T36", "position": [4, 5], "step": 84, "ordinal_position": 85}, {"identifier": "Y21", "position": [5, 5], "step": 85, "ordinal_position": 86}, {"identifier": "C62", "position": [5, 4], "step": 86, "ordinal_position": 87}, {"identifier": "B27", "position": [5, 3], "step": 87, "ordinal_position": 88}, {"identifier": "T51", "position": [5, 2], "step": 88, "ordinal_position": 89}, {"identifier": "L03", "position": [5, 1], "step": 89, "ordinal_position": 90}, {"identifier": "W51", "position": [4, 1], "step": 90, "ordinal_position": 91}, {"identifier": "G21", "position": [3, 1], "step": 91, "ordinal_position": 92}, {"identifier": "A62", "position": [2, 1], "step": 92, "ordinal_position": 93}, {"identifier": "P97", "position": [1, 1], "step": 93, "ordinal_position": 94}, {"identifier": "Q26", "position": [1, 2], "step": 94, "ordinal_position": 95}, {"identifier": "Y36", "position": [1, 3], "step": 95, "ordinal_position": 96}, {"identifier": "V42", "position": [1, 4], "step": 96, "ordinal_position": 97}, {"identifier": "M33", "position": [1, 5], "step": 97, "ordinal_position": 98}, {"identifier": "G16", "position": [2, 5], "step": 98, "ordinal_position": 99}, {"identifier": "J49", "position": [3, 5], "step": 99, "ordinal_position": 100}, {"identifier": "T36", "position": [4, 5], "step": 100, "ordinal_position": 101}, {"identifier": "Y21", "position": [5, 5], "step": 101, "ordinal_position": 102}, {"identifier": "C62", "position": [5, 4], "step": 102, "ordinal_position": 103}, {"identifier": "B27", "position": [5, 3], "step": 103, "ordinal_position": 104}, {"identifier": "T51", "position": [5, 2], "step": 104, "ordinal_position": 105}, {"identifier": "L03", "position": [5, 1], "step": 105, "ordinal_position": 106}, {"identifier": "W51", "position": [4, 1], "step": 106, "ordinal_position": 107}, {"identifier": "G21", "position": [3, 1], "step": 107, "ordinal_position": 108}, {"identifier": "A62", "position": [2, 1], "step": 108, "ordinal_position": 109}, {"identifier": "P97", "position": [1, 1], "step": 109, "ordinal_position": 110}, {"identifier": "Q26", "position": [1, 2], "step": 110, "ordinal_position": 111}, {"identifier": "Y36", "position": [1, 3], "step": 111, "ordinal_position": 112}, {"identifier": "V42", "position": [1, 4], "step": 112, "ordinal_position": 113}, {"identifier": "M33", "position": [1, 5], "step": 113, "ordinal_position": 114}, {"identifier": "G16", "position": [2, 5], "step": 114, "ordinal_position": 115}, {"identifier": "J49", "position": [3, 5], "step": 115, "ordinal_position": 116}, {"identifier": "T36", "position": [4, 5], "step": 116, "ordinal_position": 117}, {"identifier": "Y21", "position": [5, 5], "step": 117, "ordinal_position": 118}, {"identifier": "C62", "position": [5, 4], "step": 118, "ordinal_position": 119}, {"identifier": "B27", "position": [5, 3], "step": 119, "ordinal_position": 120}, {"identifier": "T51", "position": [5, 2], "step": 120, "ordinal_position": 121}, {"identifier": "L03", "position": [5, 1], "step": 121, "ordinal_position": 122}, {"identifier": "W51", "position": [4, 1], "step": 122, "ordinal_position": 123}, {"identifier": "G21", "position": [3, 1], "step": 123, "ordinal_position": 124}, {"identifier": "A62", "position": [2, 1], "step": 124, "ordinal_position": 125}, {"identifier": "P97", "position": [1, 1], "step": 125, "ordinal_position": 126}, {"identifier": "Q26", "position": [1, 2], "step": 126, "ordinal_position": 127}, {"identifier": "Y36", "position": [1, 3], "step": 127, "ordinal_position": 128}, {"identifier": "V42", "position": [1, 4], "step": 128, "ordinal_position": 129}, {"identifier": "M33", "position": [1, 5], "step": 129, "ordinal_position": 130}, {"identifier": "G16", "position": [2, 5], "step": 130, "ordinal_position": 131}, {"identifier": "J49", "position": [3, 5], "step": 131, "ordinal_position": 132}, {"identifier": "T36", "position": [4, 5], "step": 132, "ordinal_position": 133}, {"identifier": "Y21", "position": [5, 5], "step": 133, "ordinal_position": 134}, {"identifier": "C62", "position": [5, 4], "step": 134, "ordinal_position": 135}, {"identifier": "B27", "position": [5, 3], "step": 135, "ordinal_position": 136}, {"identifier": "T51", "position": [5, 2], "step": 136, "ordinal_position": 137}, {"identifier": "L03", "position": [5, 1], "step": 137, "ordinal_position": 138}, {"identifier": "W51", "position": [4, 1], "step": 138, "ordinal_position": 139}, {"identifier": "G21", "position": [3, 1], "step": 139, "ordinal_position": 140}, {"identifier": "A62", "position": [2, 1], "step": 140, "ordinal_position": 141}, {"identifier": "P97", "position": [1, 1], "step": 141, "ordinal_position": 142}, {"identifier": "Q26", "position": [1, 2], "step": 142, "ordinal_position": 143}, {"identifier": "Y36", "position": [1, 3], "step": 143, "ordinal_position": 144}, {"identifier": "V42", "position": [1, 4], "step": 144, "ordinal_position": 145}, {"identifier": "M33", "position": [1, 5], "step": 145, "ordinal_position": 146}, {"identifier": "G16", "position": [2, 5], "step": 146, "ordinal_position": 147}, {"identifier": "J49", "position": [3, 5], "step": 147, "ordinal_position": 148}, {"identifier": "T36", "position": [4, 5], "step": 148, "ordinal_position": 149}, {"identifier": "Y21", "position": [5, 5], "step": 149, "ordinal_position": 150}, {"identifier": "C62", "position": [5, 4], "step": 150, "ordinal_position": 151}, {"identifier": "B27", "position": [5, 3], "step": 151, "ordinal_position": 152}, {"identifier": "T51", "position": [5, 2], "step": 152, "ordinal_position": 153}, {"identifier": "L03", "position": [5, 1], "step": 153, "ordinal_position": 154}, {"identifier": "W51", "position": [4, 1], "step": 154, "ordinal_position": 155}, {"identifier": "G21", "position": [3, 1], "step": 155, "ordinal_position": 156}, {"identifier": "A62", "position": [2, 1], "step": 156, "ordinal_position": 157}, {"identifier": "P97", "position": [1, 1], "step": 157, "ordinal_position": 158}, {"identifier": "Q26", "position": [1, 2], "step": 158, "ordinal_position": 159}, {"identifier": "Y36", "position": [1, 3], "step": 159, "ordinal_position": 160}, {"identifier": "V42", "position": [1, 4], "step": 160, "ordinal_position": 161}, {"identifier": "M33", "position": [1, 5], "step": 161, "ordinal_position": 162}, {"identifier": "G16", "position": [2, 5], "step": 162, "ordinal_position": 163}, {"identifier": "J49", "position": [3, 5], "step": 163, "ordinal_position": 164}, {"identifier": "T36", "position": [4, 5], "step": 164, "ordinal_position": 165}, {"identifier": "Y21", "position": [5, 5], "step": 165, "ordinal_position": 166}, {"identifier": "C62", "position": [5, 4], "step": 166, "ordinal_position": 167}, {"identifier": "B27", "position": [5, 3], "step": 167, "ordinal_position": 168}, {"identifier": "T51", "position": [5, 2], "step": 168, "ordinal_position": 169}, {"identifier": "L03", "position": [5, 1], "step": 169, "ordinal_position": 170}, {"identifier": "W51", "position": [4, 1], "step": 170, "ordinal_position": 171}, {"identifier": "G21", "position": [3, 1], "step": 171, "ordinal_position": 172}, {"identifier": "A62", "position": [2, 1], "step": 172, "ordinal_position": 173}, {"identifier": "P97", "position": [1, 1], "step": 173, "ordinal_position": 174}, {"identifier": "Q26", "position": [1, 2], "step": 174, "ordinal_position": 175}, {"identifier": "Y36", "position": [1, 3], "step": 175, "ordinal_position": 176}, {"identifier": "V42", "position": [1, 4], "step": 176, "ordinal_position": 177}, {"identifier": "M33", "position": [1, 5], "step": 177, "ordinal_position": 178}, {"identifier": "G16", "position": [2, 5], "step": 178, "ordinal_position": 179}, {"identifier": "J49", "position": [3, 5], "step": 179, "ordinal_position": 180}, {"identifier": "T36", "position": [4, 5], "step": 180, "ordinal_position": 181}, {"identifier": "Y21", "position": [5, 5], "step": 181, "ordinal_position": 182}, {"identifier": "C62", "position": [5, 4], "step": 182, "ordinal_position": 183}, {"identifier": "B27", "position": [5, 3], "step": 183, "ordinal_position": 184}, {"identifier": "T51", "position": [5, 2], "step": 184, "ordinal_position": 185}, {"identifier": "L03", "position": [5, 1], "step": 185, "ordinal_position": 186}, {"identifier": "W51", "position": [4, 1], "step": 186, "ordinal_position": 187}, {"identifier": "G21", "position": [3, 1], "step": 187, "ordinal_position": 188}, {"identifier": "A62", "position": [2, 1], "step": 188, "ordinal_position": 189}, {"identifier": "P97", "position": [1, 1], "step": 189, "ordinal_position": 190}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 190, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_003.json"}} {"qa_id": "7cbcf352ab3449e1a32792f2a517db7d", "image_id": "L3-MazeLoop-test_7x7_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L03, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 277th position in this traversal?", "start_object_id": "L03", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [277], "ordinal_strings": ["277th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "P97", "traversal_path": [{"identifier": "L03", "position": [5, 1], "step": 0, "ordinal_position": 1}, {"identifier": "W51", "position": [4, 1], "step": 1, "ordinal_position": 2}, {"identifier": "G21", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "A62", "position": [2, 1], "step": 3, "ordinal_position": 4}, {"identifier": "P97", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Q26", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "Y36", "position": [1, 3], "step": 6, "ordinal_position": 7}, {"identifier": "V42", "position": [1, 4], "step": 7, "ordinal_position": 8}, {"identifier": "M33", "position": [1, 5], "step": 8, "ordinal_position": 9}, {"identifier": "G16", "position": [2, 5], "step": 9, "ordinal_position": 10}, {"identifier": "J49", "position": [3, 5], "step": 10, "ordinal_position": 11}, {"identifier": "T36", "position": [4, 5], "step": 11, "ordinal_position": 12}, {"identifier": "Y21", "position": [5, 5], "step": 12, "ordinal_position": 13}, {"identifier": "C62", "position": [5, 4], "step": 13, "ordinal_position": 14}, {"identifier": "B27", "position": [5, 3], "step": 14, "ordinal_position": 15}, {"identifier": "T51", "position": [5, 2], "step": 15, "ordinal_position": 16}, {"identifier": "L03", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "W51", "position": [4, 1], "step": 17, "ordinal_position": 18}, {"identifier": "G21", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "A62", "position": [2, 1], "step": 19, "ordinal_position": 20}, {"identifier": "P97", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Q26", "position": [1, 2], "step": 21, "ordinal_position": 22}, {"identifier": "Y36", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "V42", "position": [1, 4], "step": 23, "ordinal_position": 24}, {"identifier": "M33", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "G16", "position": [2, 5], "step": 25, "ordinal_position": 26}, {"identifier": "J49", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "T36", "position": [4, 5], "step": 27, "ordinal_position": 28}, {"identifier": "Y21", "position": [5, 5], "step": 28, "ordinal_position": 29}, {"identifier": "C62", "position": [5, 4], "step": 29, "ordinal_position": 30}, {"identifier": "B27", "position": [5, 3], "step": 30, "ordinal_position": 31}, {"identifier": "T51", "position": [5, 2], "step": 31, "ordinal_position": 32}, {"identifier": "L03", "position": [5, 1], "step": 32, "ordinal_position": 33}, {"identifier": "W51", "position": [4, 1], "step": 33, "ordinal_position": 34}, {"identifier": "G21", "position": [3, 1], "step": 34, "ordinal_position": 35}, {"identifier": "A62", "position": [2, 1], "step": 35, "ordinal_position": 36}, {"identifier": "P97", "position": [1, 1], "step": 36, "ordinal_position": 37}, {"identifier": "Q26", "position": [1, 2], "step": 37, "ordinal_position": 38}, {"identifier": "Y36", "position": [1, 3], "step": 38, "ordinal_position": 39}, {"identifier": "V42", "position": [1, 4], "step": 39, "ordinal_position": 40}, {"identifier": "M33", "position": [1, 5], "step": 40, "ordinal_position": 41}, {"identifier": "G16", "position": [2, 5], "step": 41, "ordinal_position": 42}, {"identifier": "J49", "position": [3, 5], "step": 42, "ordinal_position": 43}, {"identifier": "T36", "position": [4, 5], "step": 43, "ordinal_position": 44}, {"identifier": "Y21", "position": [5, 5], "step": 44, "ordinal_position": 45}, {"identifier": "C62", "position": [5, 4], "step": 45, "ordinal_position": 46}, {"identifier": "B27", "position": [5, 3], "step": 46, "ordinal_position": 47}, {"identifier": "T51", "position": [5, 2], "step": 47, "ordinal_position": 48}, {"identifier": "L03", "position": [5, 1], "step": 48, "ordinal_position": 49}, {"identifier": "W51", "position": [4, 1], "step": 49, "ordinal_position": 50}, {"identifier": "G21", "position": [3, 1], "step": 50, "ordinal_position": 51}, {"identifier": "A62", "position": [2, 1], "step": 51, "ordinal_position": 52}, {"identifier": "P97", "position": [1, 1], "step": 52, "ordinal_position": 53}, {"identifier": "Q26", "position": [1, 2], "step": 53, "ordinal_position": 54}, {"identifier": "Y36", "position": [1, 3], "step": 54, "ordinal_position": 55}, {"identifier": "V42", "position": [1, 4], "step": 55, "ordinal_position": 56}, {"identifier": "M33", "position": [1, 5], "step": 56, "ordinal_position": 57}, {"identifier": "G16", "position": [2, 5], "step": 57, "ordinal_position": 58}, {"identifier": "J49", "position": [3, 5], "step": 58, "ordinal_position": 59}, {"identifier": "T36", "position": [4, 5], "step": 59, "ordinal_position": 60}, {"identifier": "Y21", "position": [5, 5], "step": 60, "ordinal_position": 61}, {"identifier": "C62", "position": [5, 4], "step": 61, "ordinal_position": 62}, {"identifier": "B27", "position": [5, 3], "step": 62, "ordinal_position": 63}, {"identifier": "T51", "position": [5, 2], "step": 63, "ordinal_position": 64}, {"identifier": "L03", "position": [5, 1], "step": 64, "ordinal_position": 65}, {"identifier": "W51", "position": [4, 1], "step": 65, "ordinal_position": 66}, {"identifier": "G21", "position": [3, 1], "step": 66, "ordinal_position": 67}, {"identifier": "A62", "position": [2, 1], "step": 67, "ordinal_position": 68}, {"identifier": "P97", "position": [1, 1], "step": 68, "ordinal_position": 69}, {"identifier": "Q26", "position": [1, 2], "step": 69, "ordinal_position": 70}, {"identifier": "Y36", "position": [1, 3], "step": 70, "ordinal_position": 71}, {"identifier": "V42", "position": [1, 4], "step": 71, "ordinal_position": 72}, {"identifier": "M33", "position": [1, 5], "step": 72, "ordinal_position": 73}, {"identifier": "G16", "position": [2, 5], "step": 73, "ordinal_position": 74}, {"identifier": "J49", "position": [3, 5], "step": 74, "ordinal_position": 75}, {"identifier": "T36", "position": [4, 5], "step": 75, "ordinal_position": 76}, {"identifier": "Y21", "position": [5, 5], "step": 76, "ordinal_position": 77}, {"identifier": "C62", "position": [5, 4], "step": 77, "ordinal_position": 78}, {"identifier": "B27", "position": [5, 3], "step": 78, "ordinal_position": 79}, {"identifier": "T51", "position": [5, 2], "step": 79, "ordinal_position": 80}, {"identifier": "L03", "position": [5, 1], "step": 80, "ordinal_position": 81}, {"identifier": "W51", "position": [4, 1], "step": 81, "ordinal_position": 82}, {"identifier": "G21", "position": [3, 1], "step": 82, "ordinal_position": 83}, {"identifier": "A62", "position": [2, 1], "step": 83, "ordinal_position": 84}, {"identifier": "P97", "position": [1, 1], "step": 84, "ordinal_position": 85}, {"identifier": "Q26", "position": [1, 2], "step": 85, "ordinal_position": 86}, {"identifier": "Y36", "position": [1, 3], "step": 86, "ordinal_position": 87}, {"identifier": "V42", "position": [1, 4], "step": 87, "ordinal_position": 88}, {"identifier": "M33", "position": [1, 5], "step": 88, "ordinal_position": 89}, {"identifier": "G16", "position": [2, 5], "step": 89, "ordinal_position": 90}, {"identifier": "J49", "position": [3, 5], "step": 90, "ordinal_position": 91}, {"identifier": "T36", "position": [4, 5], "step": 91, "ordinal_position": 92}, {"identifier": "Y21", "position": [5, 5], "step": 92, "ordinal_position": 93}, {"identifier": "C62", "position": [5, 4], "step": 93, "ordinal_position": 94}, {"identifier": "B27", "position": [5, 3], "step": 94, "ordinal_position": 95}, {"identifier": "T51", "position": [5, 2], "step": 95, "ordinal_position": 96}, {"identifier": "L03", "position": [5, 1], "step": 96, "ordinal_position": 97}, {"identifier": "W51", "position": [4, 1], "step": 97, "ordinal_position": 98}, {"identifier": "G21", "position": [3, 1], "step": 98, "ordinal_position": 99}, {"identifier": "A62", "position": [2, 1], "step": 99, "ordinal_position": 100}, {"identifier": "P97", "position": [1, 1], "step": 100, "ordinal_position": 101}, {"identifier": "Q26", "position": [1, 2], "step": 101, "ordinal_position": 102}, {"identifier": "Y36", "position": [1, 3], "step": 102, "ordinal_position": 103}, {"identifier": "V42", "position": [1, 4], "step": 103, "ordinal_position": 104}, {"identifier": "M33", "position": [1, 5], "step": 104, "ordinal_position": 105}, {"identifier": "G16", "position": [2, 5], "step": 105, "ordinal_position": 106}, {"identifier": "J49", "position": [3, 5], "step": 106, "ordinal_position": 107}, {"identifier": "T36", "position": [4, 5], "step": 107, "ordinal_position": 108}, {"identifier": "Y21", "position": [5, 5], "step": 108, "ordinal_position": 109}, {"identifier": "C62", "position": [5, 4], "step": 109, "ordinal_position": 110}, {"identifier": "B27", "position": [5, 3], "step": 110, "ordinal_position": 111}, {"identifier": "T51", "position": [5, 2], "step": 111, "ordinal_position": 112}, {"identifier": "L03", "position": [5, 1], "step": 112, "ordinal_position": 113}, {"identifier": "W51", "position": [4, 1], "step": 113, "ordinal_position": 114}, {"identifier": "G21", "position": [3, 1], "step": 114, "ordinal_position": 115}, {"identifier": "A62", "position": [2, 1], "step": 115, "ordinal_position": 116}, {"identifier": "P97", "position": [1, 1], "step": 116, "ordinal_position": 117}, {"identifier": "Q26", "position": [1, 2], "step": 117, "ordinal_position": 118}, {"identifier": "Y36", "position": [1, 3], "step": 118, "ordinal_position": 119}, {"identifier": "V42", "position": [1, 4], "step": 119, "ordinal_position": 120}, {"identifier": "M33", "position": [1, 5], "step": 120, "ordinal_position": 121}, {"identifier": "G16", "position": [2, 5], "step": 121, "ordinal_position": 122}, {"identifier": "J49", "position": [3, 5], "step": 122, "ordinal_position": 123}, {"identifier": "T36", "position": [4, 5], "step": 123, "ordinal_position": 124}, {"identifier": "Y21", "position": [5, 5], "step": 124, "ordinal_position": 125}, {"identifier": "C62", "position": [5, 4], "step": 125, "ordinal_position": 126}, {"identifier": "B27", "position": [5, 3], "step": 126, "ordinal_position": 127}, {"identifier": "T51", "position": [5, 2], "step": 127, "ordinal_position": 128}, {"identifier": "L03", "position": [5, 1], "step": 128, "ordinal_position": 129}, {"identifier": "W51", "position": [4, 1], "step": 129, "ordinal_position": 130}, {"identifier": "G21", "position": [3, 1], "step": 130, "ordinal_position": 131}, {"identifier": "A62", "position": [2, 1], "step": 131, "ordinal_position": 132}, {"identifier": "P97", "position": [1, 1], "step": 132, "ordinal_position": 133}, {"identifier": "Q26", "position": [1, 2], "step": 133, "ordinal_position": 134}, {"identifier": "Y36", "position": [1, 3], "step": 134, "ordinal_position": 135}, {"identifier": "V42", "position": [1, 4], "step": 135, "ordinal_position": 136}, {"identifier": "M33", "position": [1, 5], "step": 136, "ordinal_position": 137}, {"identifier": "G16", "position": [2, 5], "step": 137, "ordinal_position": 138}, {"identifier": "J49", "position": [3, 5], "step": 138, "ordinal_position": 139}, {"identifier": "T36", "position": [4, 5], "step": 139, "ordinal_position": 140}, {"identifier": "Y21", "position": [5, 5], "step": 140, "ordinal_position": 141}, {"identifier": "C62", "position": [5, 4], "step": 141, "ordinal_position": 142}, {"identifier": "B27", "position": [5, 3], "step": 142, "ordinal_position": 143}, {"identifier": "T51", "position": [5, 2], "step": 143, "ordinal_position": 144}, {"identifier": "L03", "position": [5, 1], "step": 144, "ordinal_position": 145}, {"identifier": "W51", "position": [4, 1], "step": 145, "ordinal_position": 146}, {"identifier": "G21", "position": [3, 1], "step": 146, "ordinal_position": 147}, {"identifier": "A62", "position": [2, 1], "step": 147, "ordinal_position": 148}, {"identifier": "P97", "position": [1, 1], "step": 148, "ordinal_position": 149}, {"identifier": "Q26", "position": [1, 2], "step": 149, "ordinal_position": 150}, {"identifier": "Y36", "position": [1, 3], "step": 150, "ordinal_position": 151}, {"identifier": "V42", "position": [1, 4], "step": 151, "ordinal_position": 152}, {"identifier": "M33", "position": [1, 5], "step": 152, "ordinal_position": 153}, {"identifier": "G16", "position": [2, 5], "step": 153, "ordinal_position": 154}, {"identifier": "J49", "position": [3, 5], "step": 154, "ordinal_position": 155}, {"identifier": "T36", "position": [4, 5], "step": 155, "ordinal_position": 156}, {"identifier": "Y21", "position": [5, 5], "step": 156, "ordinal_position": 157}, {"identifier": "C62", "position": [5, 4], "step": 157, "ordinal_position": 158}, {"identifier": "B27", "position": [5, 3], "step": 158, "ordinal_position": 159}, {"identifier": "T51", "position": [5, 2], "step": 159, "ordinal_position": 160}, {"identifier": "L03", "position": [5, 1], "step": 160, "ordinal_position": 161}, {"identifier": "W51", "position": [4, 1], "step": 161, "ordinal_position": 162}, {"identifier": "G21", "position": [3, 1], "step": 162, "ordinal_position": 163}, {"identifier": "A62", "position": [2, 1], "step": 163, "ordinal_position": 164}, {"identifier": "P97", "position": [1, 1], "step": 164, "ordinal_position": 165}, {"identifier": "Q26", "position": [1, 2], "step": 165, "ordinal_position": 166}, {"identifier": "Y36", "position": [1, 3], "step": 166, "ordinal_position": 167}, {"identifier": "V42", "position": [1, 4], "step": 167, "ordinal_position": 168}, {"identifier": "M33", "position": [1, 5], "step": 168, "ordinal_position": 169}, {"identifier": "G16", "position": [2, 5], "step": 169, "ordinal_position": 170}, {"identifier": "J49", "position": [3, 5], "step": 170, "ordinal_position": 171}, {"identifier": "T36", "position": [4, 5], "step": 171, "ordinal_position": 172}, {"identifier": "Y21", "position": [5, 5], "step": 172, "ordinal_position": 173}, {"identifier": "C62", "position": [5, 4], "step": 173, "ordinal_position": 174}, {"identifier": "B27", "position": [5, 3], "step": 174, "ordinal_position": 175}, {"identifier": "T51", "position": [5, 2], "step": 175, "ordinal_position": 176}, {"identifier": "L03", "position": [5, 1], "step": 176, "ordinal_position": 177}, {"identifier": "W51", "position": [4, 1], "step": 177, "ordinal_position": 178}, {"identifier": "G21", "position": [3, 1], "step": 178, "ordinal_position": 179}, {"identifier": "A62", "position": [2, 1], "step": 179, "ordinal_position": 180}, {"identifier": "P97", "position": [1, 1], "step": 180, "ordinal_position": 181}, {"identifier": "Q26", "position": [1, 2], "step": 181, "ordinal_position": 182}, {"identifier": "Y36", "position": [1, 3], "step": 182, "ordinal_position": 183}, {"identifier": "V42", "position": [1, 4], "step": 183, "ordinal_position": 184}, {"identifier": "M33", "position": [1, 5], "step": 184, "ordinal_position": 185}, {"identifier": "G16", "position": [2, 5], "step": 185, "ordinal_position": 186}, {"identifier": "J49", "position": [3, 5], "step": 186, "ordinal_position": 187}, {"identifier": "T36", "position": [4, 5], "step": 187, "ordinal_position": 188}, {"identifier": "Y21", "position": [5, 5], "step": 188, "ordinal_position": 189}, {"identifier": "C62", "position": [5, 4], "step": 189, "ordinal_position": 190}, {"identifier": "B27", "position": [5, 3], "step": 190, "ordinal_position": 191}, {"identifier": "T51", "position": [5, 2], "step": 191, "ordinal_position": 192}, {"identifier": "L03", "position": [5, 1], "step": 192, "ordinal_position": 193}, {"identifier": "W51", "position": [4, 1], "step": 193, "ordinal_position": 194}, {"identifier": "G21", "position": [3, 1], "step": 194, "ordinal_position": 195}, {"identifier": "A62", "position": [2, 1], "step": 195, "ordinal_position": 196}, {"identifier": "P97", "position": [1, 1], "step": 196, "ordinal_position": 197}, {"identifier": "Q26", "position": [1, 2], "step": 197, "ordinal_position": 198}, {"identifier": "Y36", "position": [1, 3], "step": 198, "ordinal_position": 199}, {"identifier": "V42", "position": [1, 4], "step": 199, "ordinal_position": 200}, {"identifier": "M33", "position": [1, 5], "step": 200, "ordinal_position": 201}, {"identifier": "G16", "position": [2, 5], "step": 201, "ordinal_position": 202}, {"identifier": "J49", "position": [3, 5], "step": 202, "ordinal_position": 203}, {"identifier": "T36", "position": [4, 5], "step": 203, "ordinal_position": 204}, {"identifier": "Y21", "position": [5, 5], "step": 204, "ordinal_position": 205}, {"identifier": "C62", "position": [5, 4], "step": 205, "ordinal_position": 206}, {"identifier": "B27", 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218, "ordinal_position": 219}, {"identifier": "T36", "position": [4, 5], "step": 219, "ordinal_position": 220}, {"identifier": "Y21", "position": [5, 5], "step": 220, "ordinal_position": 221}, {"identifier": "C62", "position": [5, 4], "step": 221, "ordinal_position": 222}, {"identifier": "B27", "position": [5, 3], "step": 222, "ordinal_position": 223}, {"identifier": "T51", "position": [5, 2], "step": 223, "ordinal_position": 224}, {"identifier": "L03", "position": [5, 1], "step": 224, "ordinal_position": 225}, {"identifier": "W51", "position": [4, 1], "step": 225, "ordinal_position": 226}, {"identifier": "G21", "position": [3, 1], "step": 226, "ordinal_position": 227}, {"identifier": "A62", "position": [2, 1], "step": 227, "ordinal_position": 228}, {"identifier": "P97", "position": [1, 1], "step": 228, "ordinal_position": 229}, {"identifier": "Q26", "position": [1, 2], "step": 229, "ordinal_position": 230}, {"identifier": "Y36", "position": [1, 3], "step": 230, "ordinal_position": 231}, {"identifier": "V42", "position": [1, 4], "step": 231, "ordinal_position": 232}, {"identifier": "M33", "position": [1, 5], "step": 232, "ordinal_position": 233}, {"identifier": "G16", "position": [2, 5], "step": 233, "ordinal_position": 234}, {"identifier": "J49", "position": [3, 5], "step": 234, "ordinal_position": 235}, {"identifier": "T36", "position": [4, 5], "step": 235, "ordinal_position": 236}, {"identifier": "Y21", "position": [5, 5], "step": 236, "ordinal_position": 237}, {"identifier": "C62", "position": [5, 4], "step": 237, "ordinal_position": 238}, {"identifier": "B27", "position": [5, 3], "step": 238, "ordinal_position": 239}, {"identifier": "T51", "position": [5, 2], "step": 239, "ordinal_position": 240}, {"identifier": "L03", "position": [5, 1], "step": 240, "ordinal_position": 241}, {"identifier": "W51", "position": [4, 1], "step": 241, "ordinal_position": 242}, {"identifier": "G21", "position": [3, 1], "step": 242, "ordinal_position": 243}, {"identifier": "A62", "position": [2, 1], "step": 243, "ordinal_position": 244}, {"identifier": "P97", "position": [1, 1], "step": 244, "ordinal_position": 245}, {"identifier": "Q26", "position": [1, 2], "step": 245, "ordinal_position": 246}, {"identifier": "Y36", "position": [1, 3], "step": 246, "ordinal_position": 247}, {"identifier": "V42", "position": [1, 4], "step": 247, "ordinal_position": 248}, {"identifier": "M33", "position": [1, 5], "step": 248, "ordinal_position": 249}, {"identifier": "G16", "position": [2, 5], "step": 249, "ordinal_position": 250}, {"identifier": "J49", "position": [3, 5], "step": 250, "ordinal_position": 251}, {"identifier": "T36", "position": [4, 5], "step": 251, "ordinal_position": 252}, {"identifier": "Y21", "position": [5, 5], "step": 252, "ordinal_position": 253}, {"identifier": "C62", "position": [5, 4], "step": 253, "ordinal_position": 254}, {"identifier": "B27", "position": [5, 3], "step": 254, "ordinal_position": 255}, {"identifier": "T51", "position": [5, 2], "step": 255, "ordinal_position": 256}, {"identifier": "L03", "position": [5, 1], "step": 256, "ordinal_position": 257}, {"identifier": "W51", "position": [4, 1], "step": 257, "ordinal_position": 258}, {"identifier": "G21", "position": [3, 1], "step": 258, "ordinal_position": 259}, {"identifier": "A62", "position": [2, 1], "step": 259, "ordinal_position": 260}, {"identifier": "P97", "position": [1, 1], "step": 260, "ordinal_position": 261}, {"identifier": "Q26", "position": [1, 2], "step": 261, "ordinal_position": 262}, {"identifier": "Y36", "position": [1, 3], "step": 262, "ordinal_position": 263}, {"identifier": "V42", "position": [1, 4], "step": 263, "ordinal_position": 264}, {"identifier": "M33", "position": [1, 5], "step": 264, "ordinal_position": 265}, {"identifier": "G16", "position": [2, 5], "step": 265, "ordinal_position": 266}, {"identifier": "J49", "position": [3, 5], "step": 266, "ordinal_position": 267}, {"identifier": "T36", "position": [4, 5], "step": 267, "ordinal_position": 268}, {"identifier": "Y21", "position": [5, 5], "step": 268, "ordinal_position": 269}, {"identifier": "C62", "position": [5, 4], "step": 269, "ordinal_position": 270}, {"identifier": "B27", "position": [5, 3], "step": 270, "ordinal_position": 271}, {"identifier": "T51", "position": [5, 2], "step": 271, "ordinal_position": 272}, {"identifier": "L03", "position": [5, 1], "step": 272, "ordinal_position": 273}, {"identifier": "W51", "position": [4, 1], "step": 273, "ordinal_position": 274}, {"identifier": "G21", "position": [3, 1], "step": 274, "ordinal_position": 275}, {"identifier": "A62", "position": [2, 1], "step": 275, "ordinal_position": 276}, {"identifier": "P97", "position": [1, 1], "step": 276, "ordinal_position": 277}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 277, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_003.json"}} {"qa_id": "d4bf93c409f54b7aa98189caea4cefbe", "image_id": "L3-MazeLoop-test_7x7_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M33, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 206th position in this traversal?", "start_object_id": "M33", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [206], "ordinal_strings": ["206th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Q26", "traversal_path": [{"identifier": "M33", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "G16", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "J49", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "T36", "position": [4, 5], "step": 3, "ordinal_position": 4}, {"identifier": "Y21", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "C62", "position": [5, 4], "step": 5, "ordinal_position": 6}, {"identifier": "B27", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "T51", "position": [5, 2], "step": 7, "ordinal_position": 8}, {"identifier": "L03", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "W51", "position": [4, 1], "step": 9, "ordinal_position": 10}, {"identifier": "G21", "position": [3, 1], "step": 10, "ordinal_position": 11}, {"identifier": "A62", "position": [2, 1], "step": 11, "ordinal_position": 12}, {"identifier": "P97", "position": [1, 1], "step": 12, "ordinal_position": 13}, {"identifier": "Q26", "position": [1, 2], "step": 13, "ordinal_position": 14}, {"identifier": "Y36", "position": [1, 3], "step": 14, "ordinal_position": 15}, {"identifier": "V42", "position": [1, 4], "step": 15, "ordinal_position": 16}, {"identifier": "M33", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "G16", "position": [2, 5], "step": 17, "ordinal_position": 18}, {"identifier": "J49", "position": [3, 5], "step": 18, "ordinal_position": 19}, {"identifier": "T36", "position": [4, 5], "step": 19, "ordinal_position": 20}, {"identifier": "Y21", "position": [5, 5], "step": 20, "ordinal_position": 21}, {"identifier": "C62", "position": [5, 4], "step": 21, "ordinal_position": 22}, {"identifier": "B27", "position": [5, 3], "step": 22, "ordinal_position": 23}, {"identifier": "T51", "position": [5, 2], "step": 23, "ordinal_position": 24}, {"identifier": "L03", "position": [5, 1], "step": 24, "ordinal_position": 25}, {"identifier": "W51", "position": [4, 1], "step": 25, "ordinal_position": 26}, {"identifier": "G21", "position": [3, 1], "step": 26, "ordinal_position": 27}, {"identifier": "A62", "position": [2, 1], "step": 27, "ordinal_position": 28}, {"identifier": "P97", "position": [1, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Q26", "position": [1, 2], "step": 29, "ordinal_position": 30}, {"identifier": "Y36", "position": [1, 3], "step": 30, "ordinal_position": 31}, {"identifier": "V42", "position": [1, 4], "step": 31, "ordinal_position": 32}, {"identifier": "M33", "position": [1, 5], "step": 32, "ordinal_position": 33}, {"identifier": "G16", "position": [2, 5], "step": 33, "ordinal_position": 34}, {"identifier": "J49", "position": [3, 5], "step": 34, "ordinal_position": 35}, {"identifier": "T36", "position": [4, 5], "step": 35, "ordinal_position": 36}, {"identifier": "Y21", "position": [5, 5], "step": 36, "ordinal_position": 37}, {"identifier": "C62", "position": [5, 4], "step": 37, "ordinal_position": 38}, {"identifier": "B27", "position": [5, 3], "step": 38, "ordinal_position": 39}, {"identifier": "T51", "position": [5, 2], "step": 39, "ordinal_position": 40}, {"identifier": "L03", "position": [5, 1], "step": 40, "ordinal_position": 41}, {"identifier": "W51", "position": [4, 1], "step": 41, "ordinal_position": 42}, {"identifier": "G21", "position": [3, 1], "step": 42, "ordinal_position": 43}, {"identifier": "A62", "position": [2, 1], "step": 43, "ordinal_position": 44}, {"identifier": "P97", "position": [1, 1], "step": 44, "ordinal_position": 45}, {"identifier": "Q26", "position": [1, 2], "step": 45, "ordinal_position": 46}, {"identifier": "Y36", "position": [1, 3], "step": 46, "ordinal_position": 47}, {"identifier": "V42", "position": [1, 4], "step": 47, "ordinal_position": 48}, {"identifier": "M33", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "G16", "position": [2, 5], "step": 49, "ordinal_position": 50}, {"identifier": "J49", "position": [3, 5], "step": 50, "ordinal_position": 51}, {"identifier": "T36", "position": [4, 5], "step": 51, "ordinal_position": 52}, {"identifier": "Y21", "position": [5, 5], "step": 52, "ordinal_position": 53}, {"identifier": "C62", "position": [5, 4], "step": 53, "ordinal_position": 54}, {"identifier": "B27", "position": [5, 3], "step": 54, "ordinal_position": 55}, {"identifier": "T51", "position": [5, 2], "step": 55, "ordinal_position": 56}, {"identifier": "L03", "position": [5, 1], "step": 56, "ordinal_position": 57}, {"identifier": "W51", "position": [4, 1], "step": 57, "ordinal_position": 58}, {"identifier": "G21", "position": [3, 1], "step": 58, "ordinal_position": 59}, {"identifier": "A62", "position": [2, 1], "step": 59, "ordinal_position": 60}, {"identifier": "P97", "position": [1, 1], "step": 60, "ordinal_position": 61}, {"identifier": "Q26", "position": [1, 2], "step": 61, "ordinal_position": 62}, {"identifier": "Y36", "position": [1, 3], "step": 62, "ordinal_position": 63}, {"identifier": "V42", "position": [1, 4], "step": 63, "ordinal_position": 64}, {"identifier": "M33", "position": [1, 5], "step": 64, "ordinal_position": 65}, {"identifier": "G16", "position": [2, 5], "step": 65, "ordinal_position": 66}, {"identifier": "J49", "position": [3, 5], "step": 66, "ordinal_position": 67}, {"identifier": "T36", "position": [4, 5], "step": 67, "ordinal_position": 68}, {"identifier": "Y21", "position": [5, 5], "step": 68, "ordinal_position": 69}, {"identifier": "C62", "position": [5, 4], "step": 69, "ordinal_position": 70}, {"identifier": "B27", "position": [5, 3], "step": 70, "ordinal_position": 71}, {"identifier": "T51", "position": [5, 2], "step": 71, "ordinal_position": 72}, {"identifier": "L03", "position": [5, 1], "step": 72, "ordinal_position": 73}, {"identifier": 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123}, {"identifier": "A62", "position": [2, 1], "step": 123, "ordinal_position": 124}, {"identifier": "P97", "position": [1, 1], "step": 124, "ordinal_position": 125}, {"identifier": "Q26", "position": [1, 2], "step": 125, "ordinal_position": 126}, {"identifier": "Y36", "position": [1, 3], "step": 126, "ordinal_position": 127}, {"identifier": "V42", "position": [1, 4], "step": 127, "ordinal_position": 128}, {"identifier": "M33", "position": [1, 5], "step": 128, "ordinal_position": 129}, {"identifier": "G16", "position": [2, 5], "step": 129, "ordinal_position": 130}, {"identifier": "J49", "position": [3, 5], "step": 130, "ordinal_position": 131}, {"identifier": "T36", "position": [4, 5], "step": 131, "ordinal_position": 132}, {"identifier": "Y21", "position": [5, 5], "step": 132, "ordinal_position": 133}, {"identifier": "C62", "position": [5, 4], "step": 133, "ordinal_position": 134}, {"identifier": "B27", "position": [5, 3], "step": 134, "ordinal_position": 135}, {"identifier": "T51", "position": [5, 2], "step": 135, "ordinal_position": 136}, {"identifier": "L03", "position": [5, 1], "step": 136, "ordinal_position": 137}, {"identifier": "W51", "position": [4, 1], "step": 137, "ordinal_position": 138}, {"identifier": "G21", "position": [3, 1], "step": 138, "ordinal_position": 139}, {"identifier": "A62", "position": [2, 1], "step": 139, "ordinal_position": 140}, {"identifier": "P97", "position": [1, 1], "step": 140, "ordinal_position": 141}, {"identifier": "Q26", "position": [1, 2], "step": 141, "ordinal_position": 142}, {"identifier": "Y36", "position": [1, 3], "step": 142, "ordinal_position": 143}, {"identifier": "V42", "position": [1, 4], "step": 143, "ordinal_position": 144}, {"identifier": "M33", "position": [1, 5], "step": 144, "ordinal_position": 145}, {"identifier": "G16", "position": [2, 5], "step": 145, "ordinal_position": 146}, {"identifier": "J49", "position": [3, 5], "step": 146, "ordinal_position": 147}, {"identifier": "T36", "position": [4, 5], "step": 147, "ordinal_position": 148}, {"identifier": "Y21", "position": [5, 5], "step": 148, "ordinal_position": 149}, {"identifier": "C62", "position": [5, 4], "step": 149, "ordinal_position": 150}, {"identifier": "B27", "position": [5, 3], "step": 150, "ordinal_position": 151}, {"identifier": "T51", "position": [5, 2], "step": 151, "ordinal_position": 152}, {"identifier": "L03", "position": [5, 1], "step": 152, "ordinal_position": 153}, {"identifier": "W51", "position": [4, 1], "step": 153, "ordinal_position": 154}, {"identifier": "G21", "position": [3, 1], "step": 154, "ordinal_position": 155}, {"identifier": "A62", "position": [2, 1], "step": 155, "ordinal_position": 156}, {"identifier": "P97", "position": [1, 1], "step": 156, "ordinal_position": 157}, {"identifier": "Q26", "position": [1, 2], "step": 157, "ordinal_position": 158}, {"identifier": "Y36", "position": [1, 3], "step": 158, "ordinal_position": 159}, {"identifier": "V42", "position": [1, 4], "step": 159, "ordinal_position": 160}, {"identifier": "M33", "position": [1, 5], "step": 160, "ordinal_position": 161}, {"identifier": "G16", "position": [2, 5], "step": 161, "ordinal_position": 162}, {"identifier": "J49", "position": [3, 5], "step": 162, "ordinal_position": 163}, {"identifier": "T36", "position": [4, 5], "step": 163, "ordinal_position": 164}, {"identifier": "Y21", "position": [5, 5], "step": 164, "ordinal_position": 165}, {"identifier": "C62", "position": [5, 4], "step": 165, "ordinal_position": 166}, {"identifier": "B27", "position": [5, 3], "step": 166, "ordinal_position": 167}, {"identifier": "T51", "position": [5, 2], "step": 167, "ordinal_position": 168}, {"identifier": "L03", "position": [5, 1], "step": 168, "ordinal_position": 169}, {"identifier": "W51", "position": [4, 1], "step": 169, "ordinal_position": 170}, {"identifier": "G21", "position": [3, 1], "step": 170, "ordinal_position": 171}, {"identifier": "A62", "position": [2, 1], "step": 171, "ordinal_position": 172}, {"identifier": "P97", "position": [1, 1], "step": 172, "ordinal_position": 173}, {"identifier": "Q26", "position": [1, 2], "step": 173, "ordinal_position": 174}, {"identifier": "Y36", "position": [1, 3], "step": 174, "ordinal_position": 175}, {"identifier": "V42", "position": [1, 4], "step": 175, "ordinal_position": 176}, {"identifier": "M33", "position": [1, 5], "step": 176, "ordinal_position": 177}, {"identifier": "G16", "position": [2, 5], "step": 177, "ordinal_position": 178}, {"identifier": "J49", "position": [3, 5], "step": 178, "ordinal_position": 179}, {"identifier": "T36", "position": [4, 5], "step": 179, "ordinal_position": 180}, {"identifier": "Y21", "position": [5, 5], "step": 180, "ordinal_position": 181}, {"identifier": "C62", "position": [5, 4], "step": 181, "ordinal_position": 182}, {"identifier": "B27", "position": [5, 3], "step": 182, "ordinal_position": 183}, {"identifier": "T51", "position": [5, 2], "step": 183, "ordinal_position": 184}, {"identifier": "L03", "position": [5, 1], "step": 184, "ordinal_position": 185}, {"identifier": "W51", "position": [4, 1], "step": 185, "ordinal_position": 186}, {"identifier": "G21", "position": [3, 1], "step": 186, "ordinal_position": 187}, {"identifier": "A62", "position": [2, 1], "step": 187, "ordinal_position": 188}, {"identifier": "P97", "position": [1, 1], "step": 188, "ordinal_position": 189}, {"identifier": "Q26", "position": [1, 2], "step": 189, "ordinal_position": 190}, {"identifier": "Y36", "position": [1, 3], "step": 190, "ordinal_position": 191}, {"identifier": "V42", "position": [1, 4], "step": 191, "ordinal_position": 192}, {"identifier": "M33", "position": [1, 5], "step": 192, "ordinal_position": 193}, {"identifier": "G16", "position": [2, 5], "step": 193, "ordinal_position": 194}, {"identifier": "J49", "position": [3, 5], "step": 194, "ordinal_position": 195}, {"identifier": "T36", "position": [4, 5], "step": 195, "ordinal_position": 196}, {"identifier": "Y21", "position": [5, 5], "step": 196, "ordinal_position": 197}, {"identifier": "C62", "position": [5, 4], "step": 197, "ordinal_position": 198}, {"identifier": "B27", "position": [5, 3], "step": 198, "ordinal_position": 199}, {"identifier": "T51", "position": [5, 2], "step": 199, "ordinal_position": 200}, {"identifier": "L03", "position": [5, 1], "step": 200, "ordinal_position": 201}, {"identifier": "W51", "position": [4, 1], "step": 201, "ordinal_position": 202}, {"identifier": "G21", "position": [3, 1], "step": 202, "ordinal_position": 203}, {"identifier": "A62", "position": [2, 1], "step": 203, "ordinal_position": 204}, {"identifier": "P97", "position": [1, 1], "step": 204, "ordinal_position": 205}, {"identifier": "Q26", "position": [1, 2], "step": 205, "ordinal_position": 206}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 206, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_003.json"}} {"qa_id": "309d1e631f924b7bafcf0dd3a5d9a41a", "image_id": "L3-MazeLoop-test_7x7_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T51, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 153rd position in this traversal?", "start_object_id": "T51", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [153], "ordinal_strings": ["153rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "V42", "traversal_path": [{"identifier": "T51", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "B27", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "C62", "position": [5, 4], "step": 2, "ordinal_position": 3}, {"identifier": "Y21", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "T36", "position": [4, 5], "step": 4, "ordinal_position": 5}, {"identifier": "J49", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "G16", "position": [2, 5], "step": 6, "ordinal_position": 7}, {"identifier": "M33", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "V42", "position": [1, 4], "step": 8, "ordinal_position": 9}, {"identifier": "Y36", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "Q26", "position": [1, 2], "step": 10, "ordinal_position": 11}, {"identifier": "P97", "position": [1, 1], "step": 11, "ordinal_position": 12}, {"identifier": "A62", "position": [2, 1], "step": 12, "ordinal_position": 13}, {"identifier": "G21", "position": [3, 1], "step": 13, "ordinal_position": 14}, {"identifier": "W51", "position": [4, 1], "step": 14, "ordinal_position": 15}, {"identifier": "L03", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "T51", "position": [5, 2], "step": 16, "ordinal_position": 17}, {"identifier": "B27", "position": [5, 3], "step": 17, "ordinal_position": 18}, {"identifier": "C62", "position": [5, 4], "step": 18, "ordinal_position": 19}, {"identifier": "Y21", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "T36", "position": [4, 5], "step": 20, "ordinal_position": 21}, {"identifier": "J49", "position": [3, 5], "step": 21, "ordinal_position": 22}, {"identifier": "G16", "position": [2, 5], "step": 22, "ordinal_position": 23}, {"identifier": "M33", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "V42", "position": [1, 4], "step": 24, "ordinal_position": 25}, {"identifier": "Y36", "position": [1, 3], "step": 25, "ordinal_position": 26}, {"identifier": "Q26", "position": [1, 2], "step": 26, "ordinal_position": 27}, {"identifier": "P97", "position": [1, 1], "step": 27, "ordinal_position": 28}, {"identifier": "A62", "position": [2, 1], "step": 28, "ordinal_position": 29}, {"identifier": "G21", "position": [3, 1], "step": 29, "ordinal_position": 30}, {"identifier": "W51", "position": [4, 1], "step": 30, "ordinal_position": 31}, {"identifier": "L03", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "T51", "position": [5, 2], "step": 32, "ordinal_position": 33}, {"identifier": "B27", "position": [5, 3], "step": 33, "ordinal_position": 34}, {"identifier": "C62", "position": [5, 4], "step": 34, "ordinal_position": 35}, {"identifier": "Y21", "position": [5, 5], "step": 35, "ordinal_position": 36}, {"identifier": "T36", "position": [4, 5], "step": 36, "ordinal_position": 37}, {"identifier": "J49", "position": [3, 5], "step": 37, "ordinal_position": 38}, {"identifier": "G16", "position": [2, 5], "step": 38, "ordinal_position": 39}, {"identifier": "M33", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "V42", "position": [1, 4], "step": 40, "ordinal_position": 41}, {"identifier": "Y36", "position": [1, 3], "step": 41, "ordinal_position": 42}, {"identifier": "Q26", "position": [1, 2], "step": 42, "ordinal_position": 43}, {"identifier": "P97", "position": [1, 1], "step": 43, "ordinal_position": 44}, {"identifier": "A62", "position": [2, 1], "step": 44, "ordinal_position": 45}, {"identifier": "G21", "position": [3, 1], "step": 45, "ordinal_position": 46}, {"identifier": "W51", "position": [4, 1], "step": 46, "ordinal_position": 47}, {"identifier": "L03", "position": [5, 1], "step": 47, "ordinal_position": 48}, {"identifier": "T51", "position": [5, 2], "step": 48, "ordinal_position": 49}, {"identifier": "B27", "position": [5, 3], "step": 49, "ordinal_position": 50}, {"identifier": "C62", "position": [5, 4], "step": 50, "ordinal_position": 51}, {"identifier": "Y21", "position": [5, 5], "step": 51, "ordinal_position": 52}, {"identifier": "T36", "position": [4, 5], "step": 52, "ordinal_position": 53}, {"identifier": "J49", "position": [3, 5], "step": 53, "ordinal_position": 54}, {"identifier": "G16", "position": [2, 5], "step": 54, "ordinal_position": 55}, {"identifier": "M33", "position": [1, 5], "step": 55, "ordinal_position": 56}, {"identifier": "V42", "position": [1, 4], "step": 56, "ordinal_position": 57}, {"identifier": "Y36", "position": [1, 3], "step": 57, "ordinal_position": 58}, {"identifier": "Q26", "position": [1, 2], "step": 58, "ordinal_position": 59}, {"identifier": "P97", "position": [1, 1], "step": 59, "ordinal_position": 60}, {"identifier": "A62", "position": [2, 1], "step": 60, "ordinal_position": 61}, {"identifier": "G21", "position": [3, 1], "step": 61, "ordinal_position": 62}, {"identifier": "W51", "position": [4, 1], "step": 62, "ordinal_position": 63}, {"identifier": "L03", "position": [5, 1], "step": 63, "ordinal_position": 64}, {"identifier": "T51", "position": [5, 2], "step": 64, "ordinal_position": 65}, {"identifier": "B27", "position": [5, 3], "step": 65, "ordinal_position": 66}, {"identifier": "C62", "position": [5, 4], "step": 66, "ordinal_position": 67}, {"identifier": "Y21", "position": [5, 5], "step": 67, "ordinal_position": 68}, {"identifier": "T36", "position": [4, 5], "step": 68, "ordinal_position": 69}, {"identifier": "J49", "position": [3, 5], "step": 69, "ordinal_position": 70}, {"identifier": "G16", "position": [2, 5], "step": 70, "ordinal_position": 71}, {"identifier": "M33", "position": [1, 5], "step": 71, "ordinal_position": 72}, {"identifier": "V42", "position": [1, 4], "step": 72, "ordinal_position": 73}, {"identifier": "Y36", "position": [1, 3], "step": 73, "ordinal_position": 74}, {"identifier": "Q26", "position": [1, 2], "step": 74, "ordinal_position": 75}, {"identifier": "P97", "position": [1, 1], "step": 75, "ordinal_position": 76}, {"identifier": "A62", "position": [2, 1], "step": 76, "ordinal_position": 77}, {"identifier": "G21", "position": [3, 1], "step": 77, "ordinal_position": 78}, {"identifier": "W51", "position": [4, 1], "step": 78, "ordinal_position": 79}, {"identifier": "L03", "position": [5, 1], "step": 79, "ordinal_position": 80}, {"identifier": "T51", "position": [5, 2], "step": 80, "ordinal_position": 81}, {"identifier": "B27", "position": [5, 3], "step": 81, "ordinal_position": 82}, {"identifier": "C62", "position": [5, 4], "step": 82, "ordinal_position": 83}, {"identifier": "Y21", "position": [5, 5], "step": 83, "ordinal_position": 84}, {"identifier": "T36", "position": [4, 5], "step": 84, "ordinal_position": 85}, {"identifier": "J49", "position": [3, 5], "step": 85, "ordinal_position": 86}, {"identifier": "G16", "position": [2, 5], "step": 86, "ordinal_position": 87}, {"identifier": "M33", "position": [1, 5], "step": 87, "ordinal_position": 88}, {"identifier": "V42", "position": [1, 4], "step": 88, "ordinal_position": 89}, {"identifier": "Y36", "position": [1, 3], "step": 89, "ordinal_position": 90}, {"identifier": "Q26", "position": [1, 2], "step": 90, "ordinal_position": 91}, {"identifier": "P97", "position": [1, 1], "step": 91, "ordinal_position": 92}, {"identifier": "A62", "position": [2, 1], "step": 92, "ordinal_position": 93}, {"identifier": "G21", "position": [3, 1], "step": 93, "ordinal_position": 94}, {"identifier": "W51", "position": [4, 1], "step": 94, "ordinal_position": 95}, {"identifier": "L03", "position": [5, 1], "step": 95, "ordinal_position": 96}, {"identifier": "T51", "position": [5, 2], "step": 96, "ordinal_position": 97}, {"identifier": "B27", "position": [5, 3], "step": 97, "ordinal_position": 98}, {"identifier": "C62", "position": [5, 4], "step": 98, "ordinal_position": 99}, {"identifier": "Y21", "position": [5, 5], "step": 99, "ordinal_position": 100}, {"identifier": "T36", "position": [4, 5], "step": 100, "ordinal_position": 101}, {"identifier": "J49", "position": [3, 5], "step": 101, "ordinal_position": 102}, {"identifier": "G16", "position": [2, 5], "step": 102, "ordinal_position": 103}, {"identifier": "M33", "position": [1, 5], "step": 103, "ordinal_position": 104}, {"identifier": "V42", "position": [1, 4], "step": 104, "ordinal_position": 105}, {"identifier": "Y36", "position": [1, 3], "step": 105, "ordinal_position": 106}, {"identifier": "Q26", "position": [1, 2], "step": 106, "ordinal_position": 107}, {"identifier": "P97", "position": [1, 1], "step": 107, "ordinal_position": 108}, {"identifier": "A62", "position": [2, 1], "step": 108, "ordinal_position": 109}, {"identifier": "G21", "position": [3, 1], "step": 109, "ordinal_position": 110}, {"identifier": "W51", "position": [4, 1], "step": 110, "ordinal_position": 111}, {"identifier": "L03", "position": [5, 1], "step": 111, "ordinal_position": 112}, {"identifier": "T51", "position": [5, 2], "step": 112, "ordinal_position": 113}, {"identifier": "B27", "position": [5, 3], "step": 113, "ordinal_position": 114}, {"identifier": "C62", "position": [5, 4], "step": 114, "ordinal_position": 115}, {"identifier": "Y21", "position": [5, 5], "step": 115, "ordinal_position": 116}, {"identifier": "T36", "position": [4, 5], "step": 116, "ordinal_position": 117}, {"identifier": "J49", "position": [3, 5], "step": 117, "ordinal_position": 118}, {"identifier": "G16", "position": [2, 5], "step": 118, "ordinal_position": 119}, {"identifier": "M33", "position": [1, 5], "step": 119, "ordinal_position": 120}, {"identifier": "V42", "position": [1, 4], "step": 120, "ordinal_position": 121}, {"identifier": "Y36", "position": [1, 3], "step": 121, "ordinal_position": 122}, {"identifier": "Q26", "position": [1, 2], "step": 122, "ordinal_position": 123}, {"identifier": "P97", "position": [1, 1], "step": 123, "ordinal_position": 124}, {"identifier": "A62", "position": [2, 1], "step": 124, "ordinal_position": 125}, {"identifier": "G21", "position": [3, 1], "step": 125, "ordinal_position": 126}, {"identifier": "W51", "position": [4, 1], "step": 126, "ordinal_position": 127}, {"identifier": "L03", "position": [5, 1], "step": 127, "ordinal_position": 128}, {"identifier": "T51", "position": [5, 2], "step": 128, "ordinal_position": 129}, {"identifier": "B27", "position": [5, 3], "step": 129, "ordinal_position": 130}, {"identifier": "C62", "position": [5, 4], "step": 130, "ordinal_position": 131}, {"identifier": "Y21", "position": [5, 5], "step": 131, "ordinal_position": 132}, {"identifier": "T36", "position": [4, 5], "step": 132, "ordinal_position": 133}, {"identifier": "J49", "position": [3, 5], "step": 133, "ordinal_position": 134}, {"identifier": "G16", "position": [2, 5], "step": 134, "ordinal_position": 135}, {"identifier": "M33", "position": [1, 5], "step": 135, "ordinal_position": 136}, {"identifier": "V42", "position": [1, 4], "step": 136, "ordinal_position": 137}, {"identifier": "Y36", "position": [1, 3], "step": 137, "ordinal_position": 138}, {"identifier": "Q26", "position": [1, 2], "step": 138, "ordinal_position": 139}, {"identifier": "P97", "position": [1, 1], "step": 139, "ordinal_position": 140}, {"identifier": "A62", "position": [2, 1], "step": 140, "ordinal_position": 141}, {"identifier": "G21", "position": [3, 1], "step": 141, "ordinal_position": 142}, {"identifier": "W51", "position": [4, 1], "step": 142, "ordinal_position": 143}, {"identifier": "L03", "position": [5, 1], "step": 143, "ordinal_position": 144}, {"identifier": "T51", "position": [5, 2], "step": 144, "ordinal_position": 145}, {"identifier": "B27", "position": [5, 3], "step": 145, "ordinal_position": 146}, {"identifier": "C62", "position": [5, 4], "step": 146, "ordinal_position": 147}, {"identifier": "Y21", "position": [5, 5], "step": 147, "ordinal_position": 148}, {"identifier": "T36", "position": [4, 5], "step": 148, "ordinal_position": 149}, {"identifier": "J49", "position": [3, 5], "step": 149, "ordinal_position": 150}, {"identifier": "G16", "position": [2, 5], "step": 150, "ordinal_position": 151}, {"identifier": "M33", "position": [1, 5], "step": 151, "ordinal_position": 152}, {"identifier": "V42", "position": [1, 4], "step": 152, "ordinal_position": 153}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 153, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_003.json"}} {"qa_id": "a3e034b50f2d43119a1e995424170085", "image_id": "L3-MazeLoop-test_7x7_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M33, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 112th position in this traversal?", "start_object_id": "M33", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [112], "ordinal_strings": ["112th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "G16", "traversal_path": [{"identifier": "M33", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "V42", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "Y36", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "Q26", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "P97", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "A62", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "G21", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "W51", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "L03", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "T51", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "B27", "position": [5, 3], "step": 10, "ordinal_position": 11}, {"identifier": "C62", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "Y21", "position": [5, 5], "step": 12, "ordinal_position": 13}, {"identifier": "T36", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "J49", "position": [3, 5], "step": 14, "ordinal_position": 15}, {"identifier": "G16", "position": [2, 5], "step": 15, "ordinal_position": 16}, {"identifier": "M33", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "V42", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "Y36", "position": [1, 3], "step": 18, "ordinal_position": 19}, {"identifier": "Q26", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "P97", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "A62", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "G21", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "W51", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "L03", "position": [5, 1], "step": 24, "ordinal_position": 25}, {"identifier": "T51", "position": [5, 2], "step": 25, "ordinal_position": 26}, {"identifier": "B27", "position": [5, 3], "step": 26, "ordinal_position": 27}, {"identifier": "C62", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "Y21", "position": [5, 5], "step": 28, "ordinal_position": 29}, {"identifier": "T36", "position": [4, 5], "step": 29, "ordinal_position": 30}, {"identifier": "J49", "position": [3, 5], "step": 30, "ordinal_position": 31}, {"identifier": "G16", "position": [2, 5], "step": 31, "ordinal_position": 32}, {"identifier": "M33", "position": [1, 5], "step": 32, "ordinal_position": 33}, {"identifier": "V42", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "Y36", "position": [1, 3], "step": 34, "ordinal_position": 35}, {"identifier": "Q26", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "P97", "position": [1, 1], "step": 36, "ordinal_position": 37}, {"identifier": "A62", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "G21", "position": [3, 1], "step": 38, "ordinal_position": 39}, {"identifier": "W51", "position": [4, 1], "step": 39, "ordinal_position": 40}, {"identifier": "L03", "position": [5, 1], "step": 40, "ordinal_position": 41}, {"identifier": "T51", "position": [5, 2], "step": 41, "ordinal_position": 42}, {"identifier": "B27", "position": [5, 3], "step": 42, "ordinal_position": 43}, {"identifier": "C62", "position": [5, 4], "step": 43, "ordinal_position": 44}, {"identifier": "Y21", "position": [5, 5], "step": 44, "ordinal_position": 45}, {"identifier": "T36", "position": [4, 5], "step": 45, "ordinal_position": 46}, {"identifier": "J49", "position": [3, 5], "step": 46, "ordinal_position": 47}, {"identifier": "G16", "position": [2, 5], "step": 47, "ordinal_position": 48}, {"identifier": "M33", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "V42", "position": [1, 4], "step": 49, "ordinal_position": 50}, {"identifier": "Y36", "position": [1, 3], "step": 50, "ordinal_position": 51}, {"identifier": "Q26", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "P97", "position": [1, 1], "step": 52, "ordinal_position": 53}, {"identifier": "A62", "position": [2, 1], "step": 53, "ordinal_position": 54}, {"identifier": "G21", "position": [3, 1], "step": 54, "ordinal_position": 55}, {"identifier": "W51", "position": [4, 1], "step": 55, "ordinal_position": 56}, {"identifier": "L03", "position": [5, 1], "step": 56, "ordinal_position": 57}, {"identifier": "T51", "position": [5, 2], "step": 57, "ordinal_position": 58}, {"identifier": "B27", "position": [5, 3], "step": 58, "ordinal_position": 59}, {"identifier": "C62", "position": [5, 4], "step": 59, "ordinal_position": 60}, {"identifier": "Y21", "position": [5, 5], "step": 60, "ordinal_position": 61}, {"identifier": "T36", "position": [4, 5], "step": 61, "ordinal_position": 62}, {"identifier": "J49", "position": [3, 5], "step": 62, "ordinal_position": 63}, {"identifier": "G16", "position": [2, 5], "step": 63, "ordinal_position": 64}, {"identifier": "M33", "position": [1, 5], "step": 64, "ordinal_position": 65}, {"identifier": "V42", "position": [1, 4], "step": 65, "ordinal_position": 66}, {"identifier": "Y36", "position": [1, 3], "step": 66, "ordinal_position": 67}, {"identifier": "Q26", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "P97", "position": [1, 1], "step": 68, "ordinal_position": 69}, {"identifier": "A62", "position": [2, 1], "step": 69, "ordinal_position": 70}, {"identifier": "G21", "position": [3, 1], "step": 70, "ordinal_position": 71}, {"identifier": "W51", "position": [4, 1], "step": 71, "ordinal_position": 72}, {"identifier": "L03", "position": [5, 1], "step": 72, "ordinal_position": 73}, {"identifier": "T51", "position": [5, 2], "step": 73, "ordinal_position": 74}, {"identifier": "B27", "position": [5, 3], "step": 74, "ordinal_position": 75}, {"identifier": "C62", "position": [5, 4], "step": 75, "ordinal_position": 76}, {"identifier": "Y21", "position": [5, 5], "step": 76, "ordinal_position": 77}, {"identifier": "T36", "position": [4, 5], "step": 77, "ordinal_position": 78}, {"identifier": "J49", "position": [3, 5], "step": 78, "ordinal_position": 79}, {"identifier": "G16", "position": [2, 5], "step": 79, "ordinal_position": 80}, {"identifier": "M33", "position": [1, 5], "step": 80, "ordinal_position": 81}, {"identifier": "V42", "position": [1, 4], "step": 81, "ordinal_position": 82}, {"identifier": "Y36", "position": [1, 3], "step": 82, "ordinal_position": 83}, {"identifier": "Q26", "position": [1, 2], "step": 83, "ordinal_position": 84}, {"identifier": "P97", "position": [1, 1], "step": 84, "ordinal_position": 85}, {"identifier": "A62", "position": [2, 1], "step": 85, "ordinal_position": 86}, {"identifier": "G21", "position": [3, 1], "step": 86, "ordinal_position": 87}, {"identifier": "W51", "position": [4, 1], "step": 87, "ordinal_position": 88}, {"identifier": "L03", "position": [5, 1], "step": 88, "ordinal_position": 89}, {"identifier": "T51", "position": [5, 2], "step": 89, "ordinal_position": 90}, {"identifier": "B27", "position": [5, 3], "step": 90, "ordinal_position": 91}, {"identifier": "C62", "position": [5, 4], "step": 91, "ordinal_position": 92}, {"identifier": "Y21", "position": [5, 5], "step": 92, "ordinal_position": 93}, {"identifier": "T36", "position": [4, 5], "step": 93, "ordinal_position": 94}, {"identifier": "J49", "position": [3, 5], "step": 94, "ordinal_position": 95}, {"identifier": "G16", "position": [2, 5], "step": 95, "ordinal_position": 96}, {"identifier": "M33", "position": [1, 5], "step": 96, "ordinal_position": 97}, {"identifier": "V42", "position": [1, 4], "step": 97, "ordinal_position": 98}, {"identifier": "Y36", "position": [1, 3], "step": 98, "ordinal_position": 99}, {"identifier": "Q26", "position": [1, 2], "step": 99, "ordinal_position": 100}, {"identifier": "P97", "position": [1, 1], "step": 100, "ordinal_position": 101}, {"identifier": "A62", "position": [2, 1], "step": 101, "ordinal_position": 102}, {"identifier": "G21", "position": [3, 1], "step": 102, "ordinal_position": 103}, {"identifier": "W51", "position": [4, 1], "step": 103, "ordinal_position": 104}, {"identifier": "L03", "position": [5, 1], "step": 104, "ordinal_position": 105}, {"identifier": "T51", "position": [5, 2], "step": 105, "ordinal_position": 106}, {"identifier": "B27", "position": [5, 3], "step": 106, "ordinal_position": 107}, {"identifier": "C62", "position": [5, 4], "step": 107, "ordinal_position": 108}, {"identifier": "Y21", "position": [5, 5], "step": 108, "ordinal_position": 109}, {"identifier": "T36", "position": [4, 5], "step": 109, "ordinal_position": 110}, {"identifier": "J49", "position": [3, 5], "step": 110, "ordinal_position": 111}, {"identifier": "G16", "position": [2, 5], "step": 111, "ordinal_position": 112}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 112, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_003.json"}} {"qa_id": "79b7484505fb4b78a8ce142e17ad356e", "image_id": "L3-MazeLoop-test_7x7_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y81, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "Y81", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "I78", "traversal_path": [{"identifier": "Y81", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "D55", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Z68", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "K72", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "M69", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "P88", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "I78", "position": [1, 5], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_004.json"}} {"qa_id": "c8fcb051492f4f68840149b8257356c6", "image_id": "L3-MazeLoop-test_7x7_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E34, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "E34", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Z68", "traversal_path": [{"identifier": "E34", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "P25", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "I78", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "P88", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "M69", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "K72", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "Z68", "position": [1, 1], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_004.json"}} {"qa_id": "c18ccdf3dc4c4249ab0a542db1c30721", "image_id": "L3-MazeLoop-test_7x7_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K19, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "K19", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Z68", "traversal_path": [{"identifier": "K19", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "L86", "position": [3, 2], "step": 1, "ordinal_position": 2}, {"identifier": "Y81", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "D55", "position": [2, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Z68", "position": [1, 1], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_004.json"}} {"qa_id": "d9209507fd6b48ea96800c3eba21a6d9", "image_id": "L3-MazeLoop-test_7x7_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E34, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "E34", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Z68", "traversal_path": [{"identifier": "E34", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "P25", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "I78", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "P88", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "M69", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "K72", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "Z68", "position": [1, 1], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_004.json"}} {"qa_id": "df143d31401b495d808fd84d0cf8fbe6", "image_id": "L3-MazeLoop-test_7x7_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D55, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "D55", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Y81", "traversal_path": [{"identifier": "D55", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Y81", "position": [3, 1], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 2, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_004.json"}} {"qa_id": "7799c5578e464b14b4a840bcb1c55cf7", "image_id": "L3-MazeLoop-test_7x7_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L13, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 17th position in this traversal?", "start_object_id": "L13", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [17], "ordinal_strings": ["17th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K72", "traversal_path": [{"identifier": "L13", "position": [4, 3], "step": 0, "ordinal_position": 1}, {"identifier": "K19", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "L86", "position": [3, 2], "step": 2, "ordinal_position": 3}, {"identifier": "Y81", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "U72", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "G75", "position": [5, 1], "step": 5, "ordinal_position": 6}, {"identifier": "H28", "position": [5, 2], "step": 6, "ordinal_position": 7}, {"identifier": "K66", "position": [5, 3], "step": 7, "ordinal_position": 8}, {"identifier": "B05", "position": [5, 4], "step": 8, "ordinal_position": 9}, {"identifier": "N82", "position": [5, 5], "step": 9, "ordinal_position": 10}, {"identifier": "H92", "position": [4, 5], "step": 10, "ordinal_position": 11}, {"identifier": "E34", "position": [3, 5], "step": 11, "ordinal_position": 12}, {"identifier": "P25", "position": [2, 5], "step": 12, "ordinal_position": 13}, {"identifier": "I78", "position": [1, 5], "step": 13, "ordinal_position": 14}, {"identifier": "P88", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "M69", "position": [1, 3], "step": 15, "ordinal_position": 16}, {"identifier": "K72", "position": [1, 2], "step": 16, "ordinal_position": 17}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 17, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_004.json"}} {"qa_id": "b89500cbbb5a4311b1c36e55c31d7f72", "image_id": "L3-MazeLoop-test_7x7_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P88, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 81st position in this traversal?", "start_object_id": "P88", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [81], "ordinal_strings": ["81st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "P88", "traversal_path": [{"identifier": "P88", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "I78", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "P25", "position": [2, 5], "step": 2, "ordinal_position": 3}, {"identifier": "E34", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "H92", "position": [4, 5], "step": 4, "ordinal_position": 5}, {"identifier": "N82", "position": [5, 5], "step": 5, "ordinal_position": 6}, {"identifier": "B05", "position": [5, 4], "step": 6, "ordinal_position": 7}, {"identifier": "K66", "position": [5, 3], "step": 7, "ordinal_position": 8}, {"identifier": "H28", "position": [5, 2], "step": 8, "ordinal_position": 9}, {"identifier": "G75", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "U72", "position": [4, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Y81", "position": [3, 1], "step": 11, "ordinal_position": 12}, {"identifier": "D55", "position": [2, 1], "step": 12, "ordinal_position": 13}, {"identifier": "Z68", "position": [1, 1], "step": 13, "ordinal_position": 14}, {"identifier": "K72", "position": [1, 2], "step": 14, "ordinal_position": 15}, {"identifier": "M69", "position": [1, 3], "step": 15, "ordinal_position": 16}, {"identifier": "P88", "position": [1, 4], "step": 16, "ordinal_position": 17}, {"identifier": "I78", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "P25", "position": [2, 5], "step": 18, "ordinal_position": 19}, {"identifier": "E34", "position": [3, 5], "step": 19, "ordinal_position": 20}, {"identifier": "H92", "position": [4, 5], "step": 20, "ordinal_position": 21}, {"identifier": "N82", "position": [5, 5], "step": 21, "ordinal_position": 22}, {"identifier": "B05", "position": [5, 4], "step": 22, "ordinal_position": 23}, {"identifier": "K66", "position": [5, 3], "step": 23, "ordinal_position": 24}, {"identifier": "H28", "position": [5, 2], "step": 24, "ordinal_position": 25}, {"identifier": "G75", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "U72", "position": [4, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Y81", "position": [3, 1], "step": 27, "ordinal_position": 28}, {"identifier": "D55", "position": [2, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Z68", "position": [1, 1], "step": 29, "ordinal_position": 30}, {"identifier": "K72", "position": [1, 2], "step": 30, "ordinal_position": 31}, {"identifier": "M69", "position": [1, 3], "step": 31, "ordinal_position": 32}, {"identifier": "P88", "position": [1, 4], "step": 32, "ordinal_position": 33}, {"identifier": "I78", "position": [1, 5], "step": 33, "ordinal_position": 34}, {"identifier": "P25", "position": [2, 5], "step": 34, "ordinal_position": 35}, {"identifier": "E34", "position": [3, 5], "step": 35, "ordinal_position": 36}, {"identifier": "H92", "position": [4, 5], "step": 36, "ordinal_position": 37}, {"identifier": "N82", "position": [5, 5], "step": 37, "ordinal_position": 38}, {"identifier": "B05", "position": [5, 4], "step": 38, "ordinal_position": 39}, {"identifier": "K66", "position": [5, 3], "step": 39, "ordinal_position": 40}, {"identifier": "H28", "position": [5, 2], "step": 40, "ordinal_position": 41}, {"identifier": "G75", "position": [5, 1], "step": 41, "ordinal_position": 42}, {"identifier": "U72", "position": [4, 1], "step": 42, "ordinal_position": 43}, {"identifier": "Y81", "position": [3, 1], "step": 43, "ordinal_position": 44}, {"identifier": "D55", "position": [2, 1], "step": 44, "ordinal_position": 45}, {"identifier": "Z68", "position": [1, 1], "step": 45, "ordinal_position": 46}, {"identifier": "K72", "position": [1, 2], "step": 46, "ordinal_position": 47}, {"identifier": "M69", "position": [1, 3], "step": 47, "ordinal_position": 48}, {"identifier": "P88", "position": [1, 4], "step": 48, "ordinal_position": 49}, {"identifier": "I78", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "P25", "position": [2, 5], "step": 50, "ordinal_position": 51}, {"identifier": "E34", "position": [3, 5], "step": 51, "ordinal_position": 52}, {"identifier": "H92", "position": [4, 5], "step": 52, "ordinal_position": 53}, {"identifier": "N82", "position": [5, 5], "step": 53, "ordinal_position": 54}, {"identifier": "B05", "position": [5, 4], "step": 54, "ordinal_position": 55}, {"identifier": "K66", "position": [5, 3], "step": 55, "ordinal_position": 56}, {"identifier": "H28", "position": [5, 2], "step": 56, "ordinal_position": 57}, {"identifier": "G75", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "U72", "position": [4, 1], "step": 58, "ordinal_position": 59}, {"identifier": "Y81", "position": [3, 1], "step": 59, "ordinal_position": 60}, {"identifier": "D55", "position": [2, 1], "step": 60, "ordinal_position": 61}, {"identifier": "Z68", "position": [1, 1], "step": 61, "ordinal_position": 62}, {"identifier": "K72", "position": [1, 2], "step": 62, "ordinal_position": 63}, {"identifier": "M69", "position": [1, 3], "step": 63, "ordinal_position": 64}, {"identifier": "P88", "position": [1, 4], "step": 64, "ordinal_position": 65}, {"identifier": "I78", "position": [1, 5], "step": 65, "ordinal_position": 66}, {"identifier": "P25", "position": [2, 5], "step": 66, "ordinal_position": 67}, {"identifier": "E34", "position": [3, 5], "step": 67, "ordinal_position": 68}, {"identifier": "H92", "position": [4, 5], "step": 68, "ordinal_position": 69}, {"identifier": "N82", "position": [5, 5], "step": 69, "ordinal_position": 70}, {"identifier": "B05", "position": [5, 4], "step": 70, "ordinal_position": 71}, {"identifier": "K66", "position": [5, 3], "step": 71, "ordinal_position": 72}, {"identifier": "H28", "position": [5, 2], "step": 72, "ordinal_position": 73}, {"identifier": "G75", "position": [5, 1], "step": 73, "ordinal_position": 74}, {"identifier": "U72", "position": [4, 1], "step": 74, "ordinal_position": 75}, {"identifier": "Y81", "position": [3, 1], "step": 75, "ordinal_position": 76}, {"identifier": "D55", "position": [2, 1], "step": 76, "ordinal_position": 77}, {"identifier": "Z68", "position": [1, 1], "step": 77, "ordinal_position": 78}, {"identifier": "K72", "position": [1, 2], "step": 78, "ordinal_position": 79}, {"identifier": "M69", "position": [1, 3], "step": 79, "ordinal_position": 80}, {"identifier": "P88", "position": [1, 4], "step": 80, "ordinal_position": 81}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 81, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_004.json"}} {"qa_id": "14435e971c904ce28a1bc6f166549274", "image_id": "L3-MazeLoop-test_7x7_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z68, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 94th position in this traversal?", "start_object_id": "Z68", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [94], "ordinal_strings": ["94th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "U72", "traversal_path": [{"identifier": "Z68", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "K72", "position": [1, 2], "step": 1, "ordinal_position": 2}, {"identifier": "M69", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "P88", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "I78", "position": [1, 5], "step": 4, "ordinal_position": 5}, {"identifier": "P25", "position": [2, 5], "step": 5, "ordinal_position": 6}, {"identifier": "E34", "position": [3, 5], "step": 6, "ordinal_position": 7}, {"identifier": "H92", "position": [4, 5], "step": 7, "ordinal_position": 8}, {"identifier": "N82", "position": [5, 5], "step": 8, "ordinal_position": 9}, {"identifier": "B05", "position": [5, 4], "step": 9, "ordinal_position": 10}, {"identifier": "K66", "position": [5, 3], "step": 10, "ordinal_position": 11}, {"identifier": "H28", "position": [5, 2], "step": 11, "ordinal_position": 12}, {"identifier": "G75", "position": [5, 1], "step": 12, "ordinal_position": 13}, {"identifier": "U72", "position": [4, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Y81", "position": [3, 1], "step": 14, "ordinal_position": 15}, {"identifier": "D55", "position": [2, 1], "step": 15, "ordinal_position": 16}, {"identifier": "Z68", "position": [1, 1], "step": 16, "ordinal_position": 17}, {"identifier": "K72", "position": [1, 2], "step": 17, "ordinal_position": 18}, {"identifier": "M69", "position": [1, 3], "step": 18, "ordinal_position": 19}, {"identifier": "P88", "position": [1, 4], "step": 19, "ordinal_position": 20}, {"identifier": "I78", "position": [1, 5], "step": 20, "ordinal_position": 21}, {"identifier": "P25", "position": [2, 5], "step": 21, "ordinal_position": 22}, {"identifier": "E34", "position": [3, 5], "step": 22, "ordinal_position": 23}, {"identifier": "H92", "position": [4, 5], "step": 23, "ordinal_position": 24}, {"identifier": "N82", "position": [5, 5], "step": 24, "ordinal_position": 25}, {"identifier": "B05", "position": [5, 4], "step": 25, "ordinal_position": 26}, {"identifier": "K66", "position": [5, 3], "step": 26, "ordinal_position": 27}, {"identifier": "H28", "position": [5, 2], "step": 27, "ordinal_position": 28}, {"identifier": "G75", "position": [5, 1], "step": 28, "ordinal_position": 29}, {"identifier": "U72", "position": [4, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Y81", "position": [3, 1], "step": 30, "ordinal_position": 31}, {"identifier": "D55", "position": [2, 1], "step": 31, "ordinal_position": 32}, {"identifier": "Z68", "position": [1, 1], "step": 32, "ordinal_position": 33}, {"identifier": "K72", "position": [1, 2], "step": 33, "ordinal_position": 34}, {"identifier": "M69", "position": [1, 3], "step": 34, "ordinal_position": 35}, {"identifier": "P88", "position": [1, 4], "step": 35, "ordinal_position": 36}, {"identifier": "I78", "position": [1, 5], "step": 36, "ordinal_position": 37}, {"identifier": "P25", "position": [2, 5], "step": 37, "ordinal_position": 38}, {"identifier": "E34", "position": [3, 5], "step": 38, "ordinal_position": 39}, {"identifier": "H92", "position": [4, 5], "step": 39, "ordinal_position": 40}, {"identifier": "N82", "position": [5, 5], "step": 40, "ordinal_position": 41}, {"identifier": "B05", "position": [5, 4], "step": 41, "ordinal_position": 42}, {"identifier": "K66", "position": [5, 3], "step": 42, "ordinal_position": 43}, {"identifier": "H28", "position": [5, 2], "step": 43, "ordinal_position": 44}, {"identifier": "G75", "position": [5, 1], "step": 44, "ordinal_position": 45}, {"identifier": "U72", "position": [4, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Y81", "position": [3, 1], "step": 46, "ordinal_position": 47}, {"identifier": "D55", "position": [2, 1], "step": 47, "ordinal_position": 48}, {"identifier": "Z68", "position": [1, 1], "step": 48, "ordinal_position": 49}, {"identifier": "K72", "position": [1, 2], "step": 49, "ordinal_position": 50}, {"identifier": "M69", "position": [1, 3], "step": 50, "ordinal_position": 51}, {"identifier": "P88", "position": [1, 4], "step": 51, "ordinal_position": 52}, {"identifier": "I78", "position": [1, 5], "step": 52, "ordinal_position": 53}, {"identifier": "P25", "position": [2, 5], "step": 53, "ordinal_position": 54}, {"identifier": "E34", "position": [3, 5], "step": 54, "ordinal_position": 55}, {"identifier": "H92", "position": [4, 5], "step": 55, "ordinal_position": 56}, {"identifier": "N82", "position": [5, 5], "step": 56, "ordinal_position": 57}, {"identifier": "B05", "position": [5, 4], "step": 57, "ordinal_position": 58}, {"identifier": "K66", "position": [5, 3], "step": 58, "ordinal_position": 59}, {"identifier": "H28", "position": [5, 2], "step": 59, "ordinal_position": 60}, {"identifier": "G75", "position": [5, 1], "step": 60, "ordinal_position": 61}, {"identifier": "U72", "position": [4, 1], "step": 61, "ordinal_position": 62}, {"identifier": "Y81", "position": [3, 1], "step": 62, "ordinal_position": 63}, {"identifier": "D55", "position": [2, 1], "step": 63, "ordinal_position": 64}, {"identifier": "Z68", "position": [1, 1], "step": 64, "ordinal_position": 65}, {"identifier": "K72", "position": [1, 2], "step": 65, "ordinal_position": 66}, {"identifier": "M69", "position": [1, 3], "step": 66, "ordinal_position": 67}, {"identifier": "P88", "position": [1, 4], "step": 67, "ordinal_position": 68}, {"identifier": "I78", "position": [1, 5], "step": 68, "ordinal_position": 69}, {"identifier": "P25", "position": [2, 5], "step": 69, "ordinal_position": 70}, {"identifier": "E34", "position": [3, 5], "step": 70, "ordinal_position": 71}, {"identifier": "H92", "position": [4, 5], "step": 71, "ordinal_position": 72}, {"identifier": "N82", "position": [5, 5], "step": 72, "ordinal_position": 73}, {"identifier": "B05", "position": [5, 4], "step": 73, "ordinal_position": 74}, {"identifier": "K66", "position": [5, 3], "step": 74, "ordinal_position": 75}, {"identifier": "H28", "position": [5, 2], "step": 75, "ordinal_position": 76}, {"identifier": "G75", "position": [5, 1], "step": 76, "ordinal_position": 77}, {"identifier": "U72", "position": [4, 1], "step": 77, "ordinal_position": 78}, {"identifier": "Y81", "position": [3, 1], "step": 78, "ordinal_position": 79}, {"identifier": "D55", "position": [2, 1], "step": 79, "ordinal_position": 80}, {"identifier": "Z68", "position": [1, 1], "step": 80, "ordinal_position": 81}, {"identifier": "K72", "position": [1, 2], "step": 81, "ordinal_position": 82}, {"identifier": "M69", "position": [1, 3], "step": 82, "ordinal_position": 83}, {"identifier": "P88", "position": [1, 4], "step": 83, "ordinal_position": 84}, {"identifier": "I78", "position": [1, 5], "step": 84, "ordinal_position": 85}, {"identifier": "P25", "position": [2, 5], "step": 85, "ordinal_position": 86}, {"identifier": "E34", "position": [3, 5], "step": 86, "ordinal_position": 87}, {"identifier": "H92", "position": [4, 5], "step": 87, "ordinal_position": 88}, {"identifier": "N82", "position": [5, 5], "step": 88, "ordinal_position": 89}, {"identifier": "B05", "position": [5, 4], "step": 89, "ordinal_position": 90}, {"identifier": "K66", "position": [5, 3], "step": 90, "ordinal_position": 91}, {"identifier": "H28", "position": [5, 2], "step": 91, "ordinal_position": 92}, {"identifier": "G75", "position": [5, 1], "step": 92, "ordinal_position": 93}, {"identifier": "U72", "position": [4, 1], "step": 93, "ordinal_position": 94}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 94, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_004.json"}} {"qa_id": "2973939e17344a0d8ae8cc9fd2de8c23", "image_id": "L3-MazeLoop-test_7x7_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P25, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 48th position in this traversal?", "start_object_id": "P25", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [48], "ordinal_strings": ["48th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "I78", "traversal_path": [{"identifier": "P25", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "E34", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "H92", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "N82", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "B05", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "K66", "position": [5, 3], "step": 5, "ordinal_position": 6}, {"identifier": "H28", "position": [5, 2], "step": 6, "ordinal_position": 7}, {"identifier": "G75", "position": [5, 1], "step": 7, "ordinal_position": 8}, {"identifier": "U72", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Y81", "position": [3, 1], "step": 9, "ordinal_position": 10}, {"identifier": "D55", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Z68", "position": [1, 1], "step": 11, "ordinal_position": 12}, {"identifier": "K72", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "M69", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "P88", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "I78", "position": [1, 5], "step": 15, "ordinal_position": 16}, {"identifier": "P25", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "E34", "position": [3, 5], "step": 17, "ordinal_position": 18}, {"identifier": "H92", "position": [4, 5], "step": 18, "ordinal_position": 19}, {"identifier": "N82", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "B05", "position": [5, 4], "step": 20, "ordinal_position": 21}, {"identifier": "K66", "position": [5, 3], "step": 21, "ordinal_position": 22}, {"identifier": "H28", "position": [5, 2], "step": 22, "ordinal_position": 23}, {"identifier": "G75", "position": [5, 1], "step": 23, "ordinal_position": 24}, {"identifier": "U72", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "Y81", "position": [3, 1], "step": 25, "ordinal_position": 26}, {"identifier": "D55", "position": [2, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Z68", "position": [1, 1], "step": 27, "ordinal_position": 28}, {"identifier": "K72", "position": [1, 2], "step": 28, "ordinal_position": 29}, {"identifier": "M69", "position": [1, 3], "step": 29, "ordinal_position": 30}, {"identifier": "P88", "position": [1, 4], "step": 30, "ordinal_position": 31}, {"identifier": "I78", "position": [1, 5], "step": 31, "ordinal_position": 32}, {"identifier": "P25", "position": [2, 5], "step": 32, "ordinal_position": 33}, {"identifier": "E34", "position": [3, 5], "step": 33, "ordinal_position": 34}, {"identifier": "H92", "position": [4, 5], "step": 34, "ordinal_position": 35}, {"identifier": "N82", "position": [5, 5], "step": 35, "ordinal_position": 36}, {"identifier": "B05", "position": [5, 4], "step": 36, "ordinal_position": 37}, {"identifier": "K66", "position": [5, 3], "step": 37, "ordinal_position": 38}, {"identifier": "H28", "position": [5, 2], "step": 38, "ordinal_position": 39}, {"identifier": "G75", "position": [5, 1], "step": 39, "ordinal_position": 40}, {"identifier": "U72", "position": [4, 1], "step": 40, "ordinal_position": 41}, {"identifier": "Y81", "position": [3, 1], "step": 41, "ordinal_position": 42}, {"identifier": "D55", "position": [2, 1], "step": 42, "ordinal_position": 43}, {"identifier": "Z68", "position": [1, 1], "step": 43, "ordinal_position": 44}, {"identifier": "K72", "position": [1, 2], "step": 44, "ordinal_position": 45}, {"identifier": "M69", "position": [1, 3], "step": 45, "ordinal_position": 46}, {"identifier": "P88", "position": [1, 4], "step": 46, "ordinal_position": 47}, {"identifier": "I78", "position": [1, 5], "step": 47, "ordinal_position": 48}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 48, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_004.json"}} {"qa_id": "8b34237ffe1342bbb6ef4a59965e3d70", "image_id": "L3-MazeLoop-test_7x7_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B05, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 80th position in this traversal?", "start_object_id": "B05", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [80], "ordinal_strings": ["80th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "N82", "traversal_path": [{"identifier": "B05", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "K66", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "H28", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "G75", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "U72", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Y81", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "D55", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Z68", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "K72", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "M69", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "P88", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "I78", "position": [1, 5], "step": 11, "ordinal_position": 12}, {"identifier": "P25", "position": [2, 5], "step": 12, "ordinal_position": 13}, {"identifier": "E34", "position": [3, 5], "step": 13, "ordinal_position": 14}, {"identifier": "H92", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "N82", "position": [5, 5], "step": 15, "ordinal_position": 16}, {"identifier": "B05", "position": [5, 4], "step": 16, "ordinal_position": 17}, {"identifier": "K66", "position": [5, 3], "step": 17, "ordinal_position": 18}, {"identifier": "H28", "position": [5, 2], "step": 18, "ordinal_position": 19}, {"identifier": "G75", "position": [5, 1], "step": 19, "ordinal_position": 20}, {"identifier": "U72", "position": [4, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Y81", "position": [3, 1], "step": 21, "ordinal_position": 22}, {"identifier": "D55", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Z68", "position": [1, 1], "step": 23, "ordinal_position": 24}, {"identifier": "K72", "position": [1, 2], "step": 24, "ordinal_position": 25}, {"identifier": "M69", "position": [1, 3], "step": 25, "ordinal_position": 26}, {"identifier": "P88", "position": [1, 4], "step": 26, "ordinal_position": 27}, {"identifier": "I78", "position": [1, 5], "step": 27, "ordinal_position": 28}, {"identifier": "P25", "position": [2, 5], "step": 28, "ordinal_position": 29}, {"identifier": "E34", "position": [3, 5], "step": 29, "ordinal_position": 30}, {"identifier": "H92", "position": [4, 5], "step": 30, "ordinal_position": 31}, {"identifier": "N82", "position": [5, 5], "step": 31, "ordinal_position": 32}, {"identifier": "B05", "position": [5, 4], "step": 32, "ordinal_position": 33}, {"identifier": "K66", "position": [5, 3], "step": 33, "ordinal_position": 34}, {"identifier": "H28", "position": [5, 2], "step": 34, "ordinal_position": 35}, {"identifier": "G75", "position": [5, 1], "step": 35, "ordinal_position": 36}, {"identifier": "U72", "position": [4, 1], "step": 36, "ordinal_position": 37}, {"identifier": "Y81", "position": [3, 1], "step": 37, "ordinal_position": 38}, {"identifier": "D55", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Z68", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "K72", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "M69", "position": [1, 3], "step": 41, "ordinal_position": 42}, {"identifier": "P88", "position": [1, 4], "step": 42, "ordinal_position": 43}, {"identifier": "I78", "position": [1, 5], "step": 43, "ordinal_position": 44}, {"identifier": "P25", "position": [2, 5], "step": 44, "ordinal_position": 45}, {"identifier": "E34", "position": [3, 5], "step": 45, "ordinal_position": 46}, {"identifier": "H92", "position": [4, 5], "step": 46, "ordinal_position": 47}, {"identifier": "N82", "position": [5, 5], "step": 47, "ordinal_position": 48}, {"identifier": "B05", "position": [5, 4], "step": 48, "ordinal_position": 49}, {"identifier": "K66", "position": [5, 3], "step": 49, "ordinal_position": 50}, {"identifier": "H28", "position": [5, 2], "step": 50, "ordinal_position": 51}, {"identifier": "G75", "position": [5, 1], "step": 51, "ordinal_position": 52}, {"identifier": "U72", "position": [4, 1], "step": 52, "ordinal_position": 53}, {"identifier": "Y81", "position": [3, 1], "step": 53, "ordinal_position": 54}, {"identifier": "D55", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "Z68", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "K72", "position": [1, 2], "step": 56, "ordinal_position": 57}, {"identifier": "M69", "position": [1, 3], "step": 57, "ordinal_position": 58}, {"identifier": "P88", "position": [1, 4], "step": 58, "ordinal_position": 59}, {"identifier": "I78", "position": [1, 5], "step": 59, "ordinal_position": 60}, {"identifier": "P25", "position": [2, 5], "step": 60, "ordinal_position": 61}, {"identifier": "E34", "position": [3, 5], "step": 61, "ordinal_position": 62}, {"identifier": "H92", "position": [4, 5], "step": 62, "ordinal_position": 63}, {"identifier": "N82", "position": [5, 5], "step": 63, "ordinal_position": 64}, {"identifier": "B05", "position": [5, 4], "step": 64, "ordinal_position": 65}, {"identifier": "K66", "position": [5, 3], "step": 65, "ordinal_position": 66}, {"identifier": "H28", "position": [5, 2], "step": 66, "ordinal_position": 67}, {"identifier": "G75", "position": [5, 1], "step": 67, "ordinal_position": 68}, {"identifier": "U72", "position": [4, 1], "step": 68, "ordinal_position": 69}, {"identifier": "Y81", "position": [3, 1], "step": 69, "ordinal_position": 70}, {"identifier": "D55", "position": [2, 1], "step": 70, "ordinal_position": 71}, {"identifier": "Z68", "position": [1, 1], "step": 71, "ordinal_position": 72}, {"identifier": "K72", "position": [1, 2], "step": 72, "ordinal_position": 73}, {"identifier": "M69", "position": [1, 3], "step": 73, "ordinal_position": 74}, {"identifier": "P88", "position": [1, 4], "step": 74, "ordinal_position": 75}, {"identifier": "I78", "position": [1, 5], "step": 75, "ordinal_position": 76}, {"identifier": "P25", "position": [2, 5], "step": 76, "ordinal_position": 77}, {"identifier": "E34", "position": [3, 5], "step": 77, "ordinal_position": 78}, {"identifier": "H92", "position": [4, 5], "step": 78, "ordinal_position": 79}, {"identifier": "N82", "position": [5, 5], "step": 79, "ordinal_position": 80}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 80, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_004.json"}} {"qa_id": "dee0bf2274b04745a71dea4de66586c2", "image_id": "L3-MazeLoop-test_7x7_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H92, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 268th position in this traversal?", "start_object_id": "H92", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [268], "ordinal_strings": ["268th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "G75", "traversal_path": [{"identifier": "H92", "position": [4, 5], "step": 0, "ordinal_position": 1}, {"identifier": "E34", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "P25", "position": [2, 5], "step": 2, "ordinal_position": 3}, {"identifier": "I78", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "P88", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "M69", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "K72", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "Z68", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "D55", "position": [2, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Y81", "position": [3, 1], "step": 9, "ordinal_position": 10}, {"identifier": "U72", "position": [4, 1], "step": 10, "ordinal_position": 11}, {"identifier": "G75", "position": [5, 1], "step": 11, "ordinal_position": 12}, {"identifier": "H28", "position": [5, 2], "step": 12, "ordinal_position": 13}, {"identifier": "K66", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "B05", "position": [5, 4], "step": 14, "ordinal_position": 15}, {"identifier": "N82", "position": [5, 5], "step": 15, "ordinal_position": 16}, {"identifier": "H92", "position": [4, 5], "step": 16, "ordinal_position": 17}, {"identifier": "E34", "position": [3, 5], "step": 17, "ordinal_position": 18}, {"identifier": "P25", "position": [2, 5], "step": 18, "ordinal_position": 19}, {"identifier": "I78", "position": [1, 5], "step": 19, "ordinal_position": 20}, {"identifier": "P88", "position": [1, 4], "step": 20, "ordinal_position": 21}, {"identifier": "M69", "position": [1, 3], "step": 21, "ordinal_position": 22}, {"identifier": "K72", "position": [1, 2], "step": 22, "ordinal_position": 23}, {"identifier": "Z68", "position": [1, 1], "step": 23, "ordinal_position": 24}, {"identifier": "D55", "position": [2, 1], "step": 24, "ordinal_position": 25}, {"identifier": "Y81", "position": [3, 1], "step": 25, "ordinal_position": 26}, {"identifier": "U72", "position": [4, 1], "step": 26, "ordinal_position": 27}, {"identifier": "G75", "position": [5, 1], "step": 27, "ordinal_position": 28}, {"identifier": "H28", "position": [5, 2], "step": 28, "ordinal_position": 29}, {"identifier": "K66", "position": [5, 3], "step": 29, "ordinal_position": 30}, {"identifier": "B05", "position": [5, 4], "step": 30, "ordinal_position": 31}, {"identifier": "N82", "position": [5, 5], "step": 31, "ordinal_position": 32}, {"identifier": "H92", "position": [4, 5], "step": 32, "ordinal_position": 33}, {"identifier": "E34", "position": [3, 5], "step": 33, "ordinal_position": 34}, {"identifier": "P25", "position": [2, 5], "step": 34, "ordinal_position": 35}, {"identifier": "I78", "position": [1, 5], "step": 35, "ordinal_position": 36}, {"identifier": "P88", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "M69", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "K72", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "Z68", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "D55", "position": [2, 1], "step": 40, "ordinal_position": 41}, {"identifier": "Y81", "position": [3, 1], "step": 41, "ordinal_position": 42}, {"identifier": "U72", "position": [4, 1], "step": 42, "ordinal_position": 43}, {"identifier": "G75", "position": [5, 1], "step": 43, "ordinal_position": 44}, {"identifier": "H28", "position": [5, 2], "step": 44, "ordinal_position": 45}, {"identifier": "K66", "position": [5, 3], "step": 45, "ordinal_position": 46}, {"identifier": "B05", "position": [5, 4], "step": 46, "ordinal_position": 47}, {"identifier": "N82", "position": [5, 5], "step": 47, "ordinal_position": 48}, {"identifier": "H92", "position": [4, 5], "step": 48, "ordinal_position": 49}, {"identifier": "E34", "position": [3, 5], "step": 49, "ordinal_position": 50}, {"identifier": "P25", "position": [2, 5], "step": 50, "ordinal_position": 51}, {"identifier": "I78", "position": [1, 5], "step": 51, "ordinal_position": 52}, {"identifier": "P88", "position": [1, 4], "step": 52, "ordinal_position": 53}, {"identifier": "M69", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "K72", "position": [1, 2], "step": 54, "ordinal_position": 55}, {"identifier": "Z68", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "D55", "position": [2, 1], "step": 56, "ordinal_position": 57}, {"identifier": "Y81", "position": [3, 1], "step": 57, "ordinal_position": 58}, {"identifier": "U72", "position": [4, 1], "step": 58, "ordinal_position": 59}, {"identifier": "G75", "position": [5, 1], "step": 59, "ordinal_position": 60}, {"identifier": "H28", "position": [5, 2], "step": 60, "ordinal_position": 61}, {"identifier": "K66", "position": [5, 3], "step": 61, "ordinal_position": 62}, {"identifier": "B05", "position": [5, 4], "step": 62, "ordinal_position": 63}, {"identifier": "N82", "position": [5, 5], "step": 63, "ordinal_position": 64}, {"identifier": "H92", "position": [4, 5], "step": 64, "ordinal_position": 65}, {"identifier": "E34", "position": [3, 5], "step": 65, "ordinal_position": 66}, {"identifier": "P25", "position": [2, 5], "step": 66, "ordinal_position": 67}, {"identifier": "I78", "position": [1, 5], "step": 67, "ordinal_position": 68}, {"identifier": "P88", "position": [1, 4], "step": 68, "ordinal_position": 69}, {"identifier": "M69", "position": [1, 3], "step": 69, "ordinal_position": 70}, {"identifier": "K72", "position": [1, 2], "step": 70, "ordinal_position": 71}, {"identifier": "Z68", "position": [1, 1], "step": 71, "ordinal_position": 72}, {"identifier": "D55", "position": [2, 1], "step": 72, "ordinal_position": 73}, {"identifier": "Y81", "position": [3, 1], "step": 73, "ordinal_position": 74}, {"identifier": "U72", "position": [4, 1], "step": 74, "ordinal_position": 75}, {"identifier": "G75", "position": [5, 1], "step": 75, "ordinal_position": 76}, {"identifier": "H28", "position": [5, 2], "step": 76, "ordinal_position": 77}, {"identifier": "K66", "position": [5, 3], "step": 77, "ordinal_position": 78}, {"identifier": "B05", "position": [5, 4], "step": 78, "ordinal_position": 79}, {"identifier": "N82", "position": [5, 5], "step": 79, "ordinal_position": 80}, {"identifier": "H92", "position": [4, 5], "step": 80, "ordinal_position": 81}, {"identifier": "E34", "position": [3, 5], "step": 81, "ordinal_position": 82}, {"identifier": "P25", "position": [2, 5], "step": 82, "ordinal_position": 83}, {"identifier": "I78", "position": [1, 5], "step": 83, "ordinal_position": 84}, {"identifier": "P88", "position": [1, 4], "step": 84, "ordinal_position": 85}, {"identifier": "M69", "position": [1, 3], "step": 85, "ordinal_position": 86}, {"identifier": "K72", "position": [1, 2], "step": 86, "ordinal_position": 87}, {"identifier": "Z68", "position": [1, 1], "step": 87, "ordinal_position": 88}, {"identifier": "D55", "position": [2, 1], "step": 88, "ordinal_position": 89}, {"identifier": "Y81", "position": [3, 1], "step": 89, "ordinal_position": 90}, {"identifier": "U72", "position": [4, 1], "step": 90, "ordinal_position": 91}, {"identifier": "G75", "position": [5, 1], "step": 91, "ordinal_position": 92}, {"identifier": "H28", "position": [5, 2], "step": 92, "ordinal_position": 93}, {"identifier": "K66", "position": [5, 3], "step": 93, "ordinal_position": 94}, {"identifier": "B05", "position": [5, 4], "step": 94, "ordinal_position": 95}, {"identifier": "N82", "position": [5, 5], "step": 95, "ordinal_position": 96}, {"identifier": "H92", "position": [4, 5], "step": 96, "ordinal_position": 97}, {"identifier": "E34", "position": [3, 5], "step": 97, "ordinal_position": 98}, {"identifier": "P25", "position": [2, 5], "step": 98, "ordinal_position": 99}, {"identifier": "I78", "position": [1, 5], "step": 99, "ordinal_position": 100}, {"identifier": "P88", "position": [1, 4], "step": 100, "ordinal_position": 101}, {"identifier": "M69", "position": [1, 3], "step": 101, "ordinal_position": 102}, {"identifier": "K72", "position": [1, 2], "step": 102, "ordinal_position": 103}, {"identifier": "Z68", "position": [1, 1], "step": 103, "ordinal_position": 104}, {"identifier": "D55", "position": [2, 1], "step": 104, "ordinal_position": 105}, {"identifier": "Y81", "position": [3, 1], "step": 105, "ordinal_position": 106}, {"identifier": "U72", "position": [4, 1], "step": 106, "ordinal_position": 107}, {"identifier": "G75", "position": [5, 1], "step": 107, "ordinal_position": 108}, {"identifier": "H28", "position": [5, 2], "step": 108, "ordinal_position": 109}, {"identifier": "K66", "position": [5, 3], "step": 109, "ordinal_position": 110}, {"identifier": "B05", "position": [5, 4], "step": 110, "ordinal_position": 111}, {"identifier": "N82", "position": [5, 5], "step": 111, "ordinal_position": 112}, {"identifier": "H92", "position": [4, 5], "step": 112, "ordinal_position": 113}, {"identifier": "E34", "position": [3, 5], "step": 113, "ordinal_position": 114}, {"identifier": "P25", "position": [2, 5], "step": 114, "ordinal_position": 115}, {"identifier": "I78", "position": [1, 5], "step": 115, "ordinal_position": 116}, {"identifier": "P88", "position": [1, 4], "step": 116, "ordinal_position": 117}, {"identifier": "M69", "position": [1, 3], "step": 117, "ordinal_position": 118}, {"identifier": "K72", "position": [1, 2], "step": 118, "ordinal_position": 119}, {"identifier": "Z68", "position": [1, 1], "step": 119, "ordinal_position": 120}, {"identifier": "D55", "position": [2, 1], "step": 120, "ordinal_position": 121}, {"identifier": "Y81", "position": [3, 1], "step": 121, "ordinal_position": 122}, {"identifier": "U72", "position": [4, 1], "step": 122, "ordinal_position": 123}, {"identifier": "G75", "position": [5, 1], "step": 123, "ordinal_position": 124}, {"identifier": "H28", "position": [5, 2], "step": 124, "ordinal_position": 125}, {"identifier": "K66", "position": [5, 3], "step": 125, "ordinal_position": 126}, {"identifier": "B05", "position": [5, 4], "step": 126, "ordinal_position": 127}, {"identifier": "N82", "position": [5, 5], "step": 127, "ordinal_position": 128}, {"identifier": "H92", "position": [4, 5], "step": 128, "ordinal_position": 129}, {"identifier": "E34", "position": [3, 5], "step": 129, "ordinal_position": 130}, {"identifier": "P25", "position": [2, 5], "step": 130, "ordinal_position": 131}, {"identifier": "I78", "position": [1, 5], "step": 131, "ordinal_position": 132}, {"identifier": "P88", "position": [1, 4], "step": 132, "ordinal_position": 133}, {"identifier": "M69", "position": [1, 3], "step": 133, "ordinal_position": 134}, {"identifier": "K72", "position": [1, 2], "step": 134, "ordinal_position": 135}, {"identifier": "Z68", "position": [1, 1], "step": 135, "ordinal_position": 136}, {"identifier": "D55", "position": [2, 1], "step": 136, "ordinal_position": 137}, {"identifier": "Y81", "position": [3, 1], "step": 137, "ordinal_position": 138}, {"identifier": "U72", "position": [4, 1], "step": 138, "ordinal_position": 139}, {"identifier": "G75", "position": [5, 1], "step": 139, "ordinal_position": 140}, {"identifier": "H28", "position": [5, 2], "step": 140, "ordinal_position": 141}, {"identifier": "K66", "position": [5, 3], "step": 141, "ordinal_position": 142}, {"identifier": "B05", "position": [5, 4], "step": 142, "ordinal_position": 143}, {"identifier": "N82", "position": [5, 5], "step": 143, "ordinal_position": 144}, {"identifier": "H92", "position": [4, 5], "step": 144, "ordinal_position": 145}, {"identifier": "E34", "position": [3, 5], "step": 145, "ordinal_position": 146}, {"identifier": "P25", "position": [2, 5], "step": 146, "ordinal_position": 147}, {"identifier": "I78", "position": [1, 5], "step": 147, "ordinal_position": 148}, {"identifier": "P88", "position": [1, 4], "step": 148, "ordinal_position": 149}, {"identifier": "M69", "position": [1, 3], "step": 149, "ordinal_position": 150}, {"identifier": "K72", "position": [1, 2], "step": 150, "ordinal_position": 151}, {"identifier": "Z68", "position": [1, 1], "step": 151, "ordinal_position": 152}, {"identifier": "D55", "position": [2, 1], "step": 152, "ordinal_position": 153}, {"identifier": "Y81", "position": [3, 1], "step": 153, "ordinal_position": 154}, {"identifier": "U72", "position": [4, 1], "step": 154, "ordinal_position": 155}, {"identifier": "G75", "position": [5, 1], "step": 155, "ordinal_position": 156}, {"identifier": "H28", "position": [5, 2], "step": 156, "ordinal_position": 157}, {"identifier": "K66", "position": [5, 3], "step": 157, "ordinal_position": 158}, {"identifier": "B05", "position": [5, 4], "step": 158, "ordinal_position": 159}, {"identifier": "N82", 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171, "ordinal_position": 172}, {"identifier": "H28", "position": [5, 2], "step": 172, "ordinal_position": 173}, {"identifier": "K66", "position": [5, 3], "step": 173, "ordinal_position": 174}, {"identifier": "B05", "position": [5, 4], "step": 174, "ordinal_position": 175}, {"identifier": "N82", "position": [5, 5], "step": 175, "ordinal_position": 176}, {"identifier": "H92", "position": [4, 5], "step": 176, "ordinal_position": 177}, {"identifier": "E34", "position": [3, 5], "step": 177, "ordinal_position": 178}, {"identifier": "P25", "position": [2, 5], "step": 178, "ordinal_position": 179}, {"identifier": "I78", "position": [1, 5], "step": 179, "ordinal_position": 180}, {"identifier": "P88", "position": [1, 4], "step": 180, "ordinal_position": 181}, {"identifier": "M69", "position": [1, 3], "step": 181, "ordinal_position": 182}, {"identifier": "K72", "position": [1, 2], "step": 182, "ordinal_position": 183}, {"identifier": "Z68", "position": [1, 1], "step": 183, "ordinal_position": 184}, {"identifier": "D55", "position": [2, 1], "step": 184, "ordinal_position": 185}, {"identifier": "Y81", "position": [3, 1], "step": 185, "ordinal_position": 186}, {"identifier": "U72", "position": [4, 1], "step": 186, "ordinal_position": 187}, {"identifier": "G75", "position": [5, 1], "step": 187, "ordinal_position": 188}, {"identifier": "H28", "position": [5, 2], "step": 188, "ordinal_position": 189}, {"identifier": "K66", "position": [5, 3], "step": 189, "ordinal_position": 190}, {"identifier": "B05", "position": [5, 4], "step": 190, "ordinal_position": 191}, {"identifier": "N82", "position": [5, 5], "step": 191, "ordinal_position": 192}, {"identifier": "H92", "position": [4, 5], "step": 192, "ordinal_position": 193}, {"identifier": "E34", "position": [3, 5], "step": 193, "ordinal_position": 194}, {"identifier": "P25", "position": [2, 5], "step": 194, "ordinal_position": 195}, {"identifier": "I78", "position": [1, 5], "step": 195, "ordinal_position": 196}, {"identifier": "P88", 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208, "ordinal_position": 209}, {"identifier": "E34", "position": [3, 5], "step": 209, "ordinal_position": 210}, {"identifier": "P25", "position": [2, 5], "step": 210, "ordinal_position": 211}, {"identifier": "I78", "position": [1, 5], "step": 211, "ordinal_position": 212}, {"identifier": "P88", "position": [1, 4], "step": 212, "ordinal_position": 213}, {"identifier": "M69", "position": [1, 3], "step": 213, "ordinal_position": 214}, {"identifier": "K72", "position": [1, 2], "step": 214, "ordinal_position": 215}, {"identifier": "Z68", "position": [1, 1], "step": 215, "ordinal_position": 216}, {"identifier": "D55", "position": [2, 1], "step": 216, "ordinal_position": 217}, {"identifier": "Y81", "position": [3, 1], "step": 217, "ordinal_position": 218}, {"identifier": "U72", "position": [4, 1], "step": 218, "ordinal_position": 219}, {"identifier": "G75", "position": [5, 1], "step": 219, "ordinal_position": 220}, {"identifier": "H28", "position": [5, 2], "step": 220, "ordinal_position": 221}, {"identifier": "K66", "position": [5, 3], "step": 221, "ordinal_position": 222}, {"identifier": "B05", "position": [5, 4], "step": 222, "ordinal_position": 223}, {"identifier": "N82", "position": [5, 5], "step": 223, "ordinal_position": 224}, {"identifier": "H92", "position": [4, 5], "step": 224, "ordinal_position": 225}, {"identifier": "E34", "position": [3, 5], "step": 225, "ordinal_position": 226}, {"identifier": "P25", "position": [2, 5], "step": 226, "ordinal_position": 227}, {"identifier": "I78", "position": [1, 5], "step": 227, "ordinal_position": 228}, {"identifier": "P88", "position": [1, 4], "step": 228, "ordinal_position": 229}, {"identifier": "M69", "position": [1, 3], "step": 229, "ordinal_position": 230}, {"identifier": "K72", "position": [1, 2], "step": 230, "ordinal_position": 231}, {"identifier": "Z68", "position": [1, 1], "step": 231, "ordinal_position": 232}, {"identifier": "D55", "position": [2, 1], "step": 232, "ordinal_position": 233}, {"identifier": "Y81", "position": [3, 1], "step": 233, "ordinal_position": 234}, {"identifier": "U72", "position": [4, 1], "step": 234, "ordinal_position": 235}, {"identifier": "G75", "position": [5, 1], "step": 235, "ordinal_position": 236}, {"identifier": "H28", "position": [5, 2], "step": 236, "ordinal_position": 237}, {"identifier": "K66", "position": [5, 3], "step": 237, "ordinal_position": 238}, {"identifier": "B05", "position": [5, 4], "step": 238, "ordinal_position": 239}, {"identifier": "N82", "position": [5, 5], "step": 239, "ordinal_position": 240}, {"identifier": "H92", "position": [4, 5], "step": 240, "ordinal_position": 241}, {"identifier": "E34", "position": [3, 5], "step": 241, "ordinal_position": 242}, {"identifier": "P25", "position": [2, 5], "step": 242, "ordinal_position": 243}, {"identifier": "I78", "position": [1, 5], "step": 243, "ordinal_position": 244}, {"identifier": "P88", "position": [1, 4], "step": 244, "ordinal_position": 245}, {"identifier": "M69", "position": [1, 3], "step": 245, "ordinal_position": 246}, {"identifier": "K72", "position": [1, 2], "step": 246, "ordinal_position": 247}, {"identifier": "Z68", "position": [1, 1], "step": 247, "ordinal_position": 248}, {"identifier": "D55", "position": [2, 1], "step": 248, "ordinal_position": 249}, {"identifier": "Y81", "position": [3, 1], "step": 249, "ordinal_position": 250}, {"identifier": "U72", "position": [4, 1], "step": 250, "ordinal_position": 251}, {"identifier": "G75", "position": [5, 1], "step": 251, "ordinal_position": 252}, {"identifier": "H28", "position": [5, 2], "step": 252, "ordinal_position": 253}, {"identifier": "K66", "position": [5, 3], "step": 253, "ordinal_position": 254}, {"identifier": "B05", "position": [5, 4], "step": 254, "ordinal_position": 255}, {"identifier": "N82", "position": [5, 5], "step": 255, "ordinal_position": 256}, {"identifier": "H92", "position": [4, 5], "step": 256, "ordinal_position": 257}, {"identifier": "E34", "position": [3, 5], "step": 257, "ordinal_position": 258}, {"identifier": "P25", "position": [2, 5], "step": 258, "ordinal_position": 259}, {"identifier": "I78", "position": [1, 5], "step": 259, "ordinal_position": 260}, {"identifier": "P88", "position": [1, 4], "step": 260, "ordinal_position": 261}, {"identifier": "M69", "position": [1, 3], "step": 261, "ordinal_position": 262}, {"identifier": "K72", "position": [1, 2], "step": 262, "ordinal_position": 263}, {"identifier": "Z68", "position": [1, 1], "step": 263, "ordinal_position": 264}, {"identifier": "D55", "position": [2, 1], "step": 264, "ordinal_position": 265}, {"identifier": "Y81", "position": [3, 1], "step": 265, "ordinal_position": 266}, {"identifier": "U72", "position": [4, 1], "step": 266, "ordinal_position": 267}, {"identifier": "G75", "position": [5, 1], "step": 267, "ordinal_position": 268}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 268, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_004.json"}} {"qa_id": "545797972d3b4a1795c313aaab426fe4", "image_id": "L3-MazeLoop-test_7x7_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I78, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 260th position in this traversal?", "start_object_id": "I78", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [260], "ordinal_strings": ["260th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K72", "traversal_path": [{"identifier": "I78", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "P88", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "M69", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "K72", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "Z68", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "D55", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Y81", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "U72", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "G75", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "H28", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "K66", "position": [5, 3], "step": 10, "ordinal_position": 11}, {"identifier": "B05", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "N82", "position": [5, 5], "step": 12, "ordinal_position": 13}, {"identifier": "H92", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "E34", "position": [3, 5], "step": 14, "ordinal_position": 15}, {"identifier": "P25", "position": [2, 5], "step": 15, "ordinal_position": 16}, {"identifier": "I78", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "P88", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "M69", "position": [1, 3], "step": 18, "ordinal_position": 19}, {"identifier": "K72", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "Z68", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "D55", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Y81", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "U72", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "G75", "position": [5, 1], "step": 24, "ordinal_position": 25}, {"identifier": "H28", "position": [5, 2], "step": 25, "ordinal_position": 26}, {"identifier": "K66", "position": [5, 3], "step": 26, "ordinal_position": 27}, {"identifier": "B05", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "N82", "position": [5, 5], "step": 28, "ordinal_position": 29}, {"identifier": "H92", "position": [4, 5], "step": 29, "ordinal_position": 30}, {"identifier": "E34", "position": [3, 5], "step": 30, "ordinal_position": 31}, {"identifier": "P25", "position": [2, 5], "step": 31, "ordinal_position": 32}, {"identifier": "I78", "position": [1, 5], "step": 32, "ordinal_position": 33}, {"identifier": "P88", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "M69", "position": [1, 3], "step": 34, "ordinal_position": 35}, {"identifier": "K72", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "Z68", "position": [1, 1], "step": 36, "ordinal_position": 37}, {"identifier": "D55", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "Y81", "position": [3, 1], "step": 38, "ordinal_position": 39}, {"identifier": "U72", "position": [4, 1], "step": 39, "ordinal_position": 40}, {"identifier": "G75", "position": [5, 1], "step": 40, "ordinal_position": 41}, {"identifier": "H28", "position": [5, 2], "step": 41, "ordinal_position": 42}, {"identifier": "K66", "position": [5, 3], "step": 42, "ordinal_position": 43}, {"identifier": "B05", "position": [5, 4], "step": 43, "ordinal_position": 44}, {"identifier": "N82", "position": [5, 5], "step": 44, "ordinal_position": 45}, {"identifier": "H92", "position": [4, 5], "step": 45, "ordinal_position": 46}, {"identifier": "E34", "position": [3, 5], "step": 46, "ordinal_position": 47}, {"identifier": "P25", "position": [2, 5], "step": 47, "ordinal_position": 48}, {"identifier": "I78", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "P88", "position": [1, 4], "step": 49, "ordinal_position": 50}, {"identifier": "M69", "position": [1, 3], "step": 50, "ordinal_position": 51}, {"identifier": "K72", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "Z68", "position": [1, 1], "step": 52, "ordinal_position": 53}, {"identifier": "D55", "position": [2, 1], "step": 53, "ordinal_position": 54}, {"identifier": "Y81", "position": [3, 1], "step": 54, "ordinal_position": 55}, {"identifier": "U72", "position": [4, 1], "step": 55, "ordinal_position": 56}, {"identifier": "G75", "position": [5, 1], "step": 56, "ordinal_position": 57}, {"identifier": "H28", "position": [5, 2], "step": 57, "ordinal_position": 58}, {"identifier": "K66", "position": [5, 3], "step": 58, "ordinal_position": 59}, {"identifier": "B05", "position": [5, 4], "step": 59, "ordinal_position": 60}, {"identifier": "N82", "position": [5, 5], "step": 60, "ordinal_position": 61}, {"identifier": "H92", "position": [4, 5], "step": 61, "ordinal_position": 62}, {"identifier": "E34", "position": [3, 5], "step": 62, "ordinal_position": 63}, {"identifier": "P25", "position": [2, 5], "step": 63, "ordinal_position": 64}, {"identifier": "I78", "position": [1, 5], "step": 64, "ordinal_position": 65}, {"identifier": "P88", "position": [1, 4], "step": 65, "ordinal_position": 66}, {"identifier": "M69", "position": [1, 3], "step": 66, "ordinal_position": 67}, {"identifier": "K72", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "Z68", "position": [1, 1], "step": 68, "ordinal_position": 69}, {"identifier": "D55", "position": [2, 1], "step": 69, "ordinal_position": 70}, {"identifier": "Y81", "position": [3, 1], "step": 70, "ordinal_position": 71}, {"identifier": "U72", "position": [4, 1], "step": 71, "ordinal_position": 72}, {"identifier": "G75", "position": [5, 1], "step": 72, "ordinal_position": 73}, {"identifier": "H28", "position": [5, 2], "step": 73, "ordinal_position": 74}, {"identifier": "K66", "position": [5, 3], "step": 74, "ordinal_position": 75}, {"identifier": "B05", "position": [5, 4], "step": 75, "ordinal_position": 76}, {"identifier": "N82", "position": [5, 5], "step": 76, "ordinal_position": 77}, {"identifier": "H92", "position": [4, 5], "step": 77, "ordinal_position": 78}, {"identifier": "E34", "position": [3, 5], "step": 78, "ordinal_position": 79}, {"identifier": "P25", "position": [2, 5], "step": 79, "ordinal_position": 80}, {"identifier": "I78", "position": [1, 5], "step": 80, "ordinal_position": 81}, {"identifier": "P88", "position": [1, 4], "step": 81, "ordinal_position": 82}, {"identifier": "M69", "position": [1, 3], "step": 82, "ordinal_position": 83}, {"identifier": "K72", "position": [1, 2], "step": 83, "ordinal_position": 84}, {"identifier": "Z68", "position": [1, 1], "step": 84, "ordinal_position": 85}, {"identifier": "D55", "position": [2, 1], "step": 85, "ordinal_position": 86}, {"identifier": "Y81", "position": [3, 1], "step": 86, "ordinal_position": 87}, {"identifier": "U72", "position": [4, 1], "step": 87, "ordinal_position": 88}, {"identifier": "G75", "position": [5, 1], "step": 88, "ordinal_position": 89}, {"identifier": "H28", "position": [5, 2], "step": 89, "ordinal_position": 90}, {"identifier": "K66", "position": [5, 3], "step": 90, "ordinal_position": 91}, {"identifier": "B05", "position": [5, 4], "step": 91, "ordinal_position": 92}, {"identifier": "N82", "position": [5, 5], "step": 92, "ordinal_position": 93}, {"identifier": "H92", "position": [4, 5], "step": 93, "ordinal_position": 94}, {"identifier": "E34", "position": [3, 5], "step": 94, "ordinal_position": 95}, {"identifier": "P25", "position": [2, 5], "step": 95, "ordinal_position": 96}, {"identifier": "I78", "position": [1, 5], "step": 96, "ordinal_position": 97}, {"identifier": "P88", "position": [1, 4], "step": 97, "ordinal_position": 98}, {"identifier": "M69", "position": [1, 3], "step": 98, "ordinal_position": 99}, {"identifier": "K72", "position": [1, 2], "step": 99, "ordinal_position": 100}, {"identifier": "Z68", "position": [1, 1], "step": 100, "ordinal_position": 101}, {"identifier": "D55", "position": [2, 1], "step": 101, "ordinal_position": 102}, {"identifier": "Y81", "position": [3, 1], "step": 102, "ordinal_position": 103}, {"identifier": "U72", "position": [4, 1], "step": 103, "ordinal_position": 104}, {"identifier": "G75", "position": [5, 1], "step": 104, "ordinal_position": 105}, {"identifier": "H28", "position": [5, 2], "step": 105, "ordinal_position": 106}, {"identifier": "K66", "position": [5, 3], "step": 106, "ordinal_position": 107}, {"identifier": "B05", "position": [5, 4], "step": 107, "ordinal_position": 108}, {"identifier": "N82", "position": [5, 5], "step": 108, "ordinal_position": 109}, {"identifier": "H92", "position": [4, 5], "step": 109, "ordinal_position": 110}, {"identifier": "E34", "position": [3, 5], "step": 110, "ordinal_position": 111}, {"identifier": "P25", "position": [2, 5], "step": 111, "ordinal_position": 112}, {"identifier": "I78", "position": [1, 5], "step": 112, "ordinal_position": 113}, {"identifier": "P88", "position": [1, 4], "step": 113, "ordinal_position": 114}, {"identifier": "M69", "position": [1, 3], "step": 114, "ordinal_position": 115}, {"identifier": "K72", "position": [1, 2], "step": 115, "ordinal_position": 116}, {"identifier": "Z68", "position": [1, 1], "step": 116, "ordinal_position": 117}, {"identifier": "D55", "position": [2, 1], "step": 117, "ordinal_position": 118}, {"identifier": "Y81", "position": [3, 1], "step": 118, "ordinal_position": 119}, {"identifier": "U72", "position": [4, 1], "step": 119, "ordinal_position": 120}, {"identifier": "G75", "position": [5, 1], "step": 120, "ordinal_position": 121}, {"identifier": "H28", "position": [5, 2], "step": 121, "ordinal_position": 122}, {"identifier": "K66", "position": [5, 3], "step": 122, "ordinal_position": 123}, {"identifier": "B05", "position": [5, 4], "step": 123, "ordinal_position": 124}, {"identifier": "N82", "position": [5, 5], "step": 124, "ordinal_position": 125}, {"identifier": "H92", "position": [4, 5], "step": 125, "ordinal_position": 126}, {"identifier": "E34", "position": [3, 5], "step": 126, "ordinal_position": 127}, {"identifier": "P25", "position": [2, 5], "step": 127, "ordinal_position": 128}, {"identifier": "I78", "position": [1, 5], "step": 128, "ordinal_position": 129}, {"identifier": "P88", "position": [1, 4], "step": 129, "ordinal_position": 130}, {"identifier": "M69", "position": [1, 3], "step": 130, "ordinal_position": 131}, {"identifier": "K72", "position": [1, 2], "step": 131, "ordinal_position": 132}, {"identifier": "Z68", "position": [1, 1], "step": 132, "ordinal_position": 133}, {"identifier": "D55", "position": [2, 1], "step": 133, "ordinal_position": 134}, {"identifier": "Y81", "position": [3, 1], "step": 134, "ordinal_position": 135}, {"identifier": "U72", "position": [4, 1], "step": 135, "ordinal_position": 136}, {"identifier": "G75", "position": [5, 1], "step": 136, "ordinal_position": 137}, {"identifier": "H28", "position": [5, 2], "step": 137, "ordinal_position": 138}, {"identifier": "K66", "position": [5, 3], "step": 138, "ordinal_position": 139}, {"identifier": "B05", "position": [5, 4], "step": 139, "ordinal_position": 140}, {"identifier": "N82", "position": [5, 5], "step": 140, "ordinal_position": 141}, {"identifier": "H92", "position": [4, 5], "step": 141, "ordinal_position": 142}, {"identifier": "E34", "position": [3, 5], "step": 142, "ordinal_position": 143}, {"identifier": "P25", "position": [2, 5], "step": 143, "ordinal_position": 144}, {"identifier": "I78", "position": [1, 5], "step": 144, "ordinal_position": 145}, {"identifier": "P88", "position": [1, 4], "step": 145, "ordinal_position": 146}, {"identifier": "M69", "position": [1, 3], "step": 146, "ordinal_position": 147}, {"identifier": "K72", "position": [1, 2], "step": 147, "ordinal_position": 148}, {"identifier": "Z68", "position": [1, 1], "step": 148, "ordinal_position": 149}, {"identifier": "D55", "position": [2, 1], "step": 149, "ordinal_position": 150}, {"identifier": "Y81", "position": [3, 1], "step": 150, "ordinal_position": 151}, {"identifier": "U72", "position": [4, 1], "step": 151, "ordinal_position": 152}, {"identifier": "G75", "position": [5, 1], "step": 152, "ordinal_position": 153}, {"identifier": "H28", "position": [5, 2], "step": 153, "ordinal_position": 154}, {"identifier": "K66", "position": [5, 3], "step": 154, "ordinal_position": 155}, {"identifier": "B05", "position": [5, 4], "step": 155, "ordinal_position": 156}, {"identifier": "N82", "position": [5, 5], "step": 156, "ordinal_position": 157}, {"identifier": "H92", "position": [4, 5], "step": 157, "ordinal_position": 158}, {"identifier": "E34", "position": [3, 5], "step": 158, "ordinal_position": 159}, {"identifier": "P25", "position": [2, 5], "step": 159, "ordinal_position": 160}, {"identifier": "I78", "position": [1, 5], "step": 160, "ordinal_position": 161}, {"identifier": "P88", "position": [1, 4], "step": 161, "ordinal_position": 162}, {"identifier": "M69", "position": [1, 3], "step": 162, "ordinal_position": 163}, {"identifier": "K72", "position": [1, 2], "step": 163, "ordinal_position": 164}, {"identifier": "Z68", "position": [1, 1], "step": 164, "ordinal_position": 165}, {"identifier": "D55", "position": [2, 1], "step": 165, "ordinal_position": 166}, {"identifier": "Y81", "position": [3, 1], "step": 166, "ordinal_position": 167}, {"identifier": "U72", "position": [4, 1], "step": 167, "ordinal_position": 168}, {"identifier": "G75", "position": [5, 1], "step": 168, "ordinal_position": 169}, {"identifier": "H28", "position": [5, 2], "step": 169, "ordinal_position": 170}, {"identifier": "K66", "position": [5, 3], "step": 170, "ordinal_position": 171}, {"identifier": "B05", "position": [5, 4], "step": 171, "ordinal_position": 172}, {"identifier": "N82", "position": [5, 5], "step": 172, "ordinal_position": 173}, {"identifier": "H92", "position": [4, 5], "step": 173, "ordinal_position": 174}, {"identifier": "E34", "position": [3, 5], "step": 174, "ordinal_position": 175}, {"identifier": "P25", "position": [2, 5], "step": 175, "ordinal_position": 176}, {"identifier": "I78", "position": [1, 5], "step": 176, "ordinal_position": 177}, {"identifier": "P88", "position": [1, 4], "step": 177, "ordinal_position": 178}, {"identifier": "M69", "position": [1, 3], "step": 178, "ordinal_position": 179}, {"identifier": "K72", "position": [1, 2], "step": 179, "ordinal_position": 180}, {"identifier": "Z68", "position": [1, 1], "step": 180, "ordinal_position": 181}, {"identifier": "D55", "position": [2, 1], "step": 181, "ordinal_position": 182}, {"identifier": "Y81", "position": [3, 1], "step": 182, "ordinal_position": 183}, {"identifier": "U72", "position": [4, 1], "step": 183, "ordinal_position": 184}, {"identifier": "G75", "position": [5, 1], "step": 184, "ordinal_position": 185}, {"identifier": "H28", "position": [5, 2], "step": 185, "ordinal_position": 186}, {"identifier": "K66", "position": [5, 3], "step": 186, "ordinal_position": 187}, {"identifier": "B05", "position": [5, 4], "step": 187, "ordinal_position": 188}, {"identifier": "N82", "position": [5, 5], "step": 188, "ordinal_position": 189}, {"identifier": "H92", "position": [4, 5], "step": 189, "ordinal_position": 190}, {"identifier": "E34", "position": [3, 5], "step": 190, "ordinal_position": 191}, {"identifier": "P25", "position": [2, 5], "step": 191, "ordinal_position": 192}, {"identifier": "I78", "position": [1, 5], "step": 192, "ordinal_position": 193}, {"identifier": "P88", "position": [1, 4], "step": 193, "ordinal_position": 194}, {"identifier": "M69", "position": [1, 3], "step": 194, "ordinal_position": 195}, {"identifier": "K72", "position": [1, 2], "step": 195, "ordinal_position": 196}, {"identifier": "Z68", "position": [1, 1], "step": 196, "ordinal_position": 197}, {"identifier": "D55", "position": [2, 1], "step": 197, "ordinal_position": 198}, {"identifier": "Y81", "position": [3, 1], "step": 198, "ordinal_position": 199}, {"identifier": "U72", "position": [4, 1], "step": 199, "ordinal_position": 200}, {"identifier": "G75", "position": [5, 1], "step": 200, "ordinal_position": 201}, {"identifier": "H28", "position": [5, 2], "step": 201, "ordinal_position": 202}, {"identifier": "K66", "position": [5, 3], "step": 202, "ordinal_position": 203}, {"identifier": "B05", "position": [5, 4], "step": 203, "ordinal_position": 204}, {"identifier": "N82", "position": [5, 5], "step": 204, "ordinal_position": 205}, {"identifier": "H92", "position": [4, 5], "step": 205, "ordinal_position": 206}, {"identifier": "E34", "position": [3, 5], "step": 206, "ordinal_position": 207}, {"identifier": "P25", "position": [2, 5], "step": 207, "ordinal_position": 208}, {"identifier": "I78", "position": [1, 5], "step": 208, "ordinal_position": 209}, {"identifier": "P88", "position": [1, 4], "step": 209, "ordinal_position": 210}, {"identifier": "M69", "position": [1, 3], "step": 210, "ordinal_position": 211}, {"identifier": "K72", "position": [1, 2], "step": 211, "ordinal_position": 212}, {"identifier": "Z68", "position": [1, 1], "step": 212, "ordinal_position": 213}, {"identifier": "D55", "position": [2, 1], "step": 213, "ordinal_position": 214}, {"identifier": "Y81", "position": [3, 1], "step": 214, "ordinal_position": 215}, {"identifier": "U72", "position": [4, 1], "step": 215, "ordinal_position": 216}, {"identifier": "G75", "position": [5, 1], "step": 216, "ordinal_position": 217}, {"identifier": "H28", "position": [5, 2], "step": 217, "ordinal_position": 218}, {"identifier": "K66", "position": [5, 3], "step": 218, "ordinal_position": 219}, {"identifier": "B05", "position": [5, 4], "step": 219, "ordinal_position": 220}, {"identifier": "N82", "position": [5, 5], "step": 220, "ordinal_position": 221}, {"identifier": "H92", "position": [4, 5], "step": 221, "ordinal_position": 222}, {"identifier": "E34", "position": [3, 5], "step": 222, "ordinal_position": 223}, {"identifier": "P25", "position": [2, 5], "step": 223, "ordinal_position": 224}, {"identifier": "I78", "position": [1, 5], "step": 224, "ordinal_position": 225}, {"identifier": "P88", "position": [1, 4], "step": 225, "ordinal_position": 226}, {"identifier": "M69", "position": [1, 3], "step": 226, "ordinal_position": 227}, {"identifier": "K72", "position": [1, 2], "step": 227, "ordinal_position": 228}, {"identifier": "Z68", "position": [1, 1], "step": 228, "ordinal_position": 229}, {"identifier": "D55", "position": [2, 1], "step": 229, "ordinal_position": 230}, {"identifier": "Y81", "position": [3, 1], "step": 230, "ordinal_position": 231}, {"identifier": "U72", "position": [4, 1], "step": 231, "ordinal_position": 232}, {"identifier": "G75", "position": [5, 1], "step": 232, "ordinal_position": 233}, {"identifier": "H28", "position": [5, 2], "step": 233, "ordinal_position": 234}, {"identifier": "K66", "position": [5, 3], "step": 234, "ordinal_position": 235}, {"identifier": "B05", "position": [5, 4], "step": 235, "ordinal_position": 236}, {"identifier": "N82", "position": [5, 5], "step": 236, "ordinal_position": 237}, {"identifier": "H92", "position": [4, 5], "step": 237, "ordinal_position": 238}, {"identifier": "E34", "position": [3, 5], "step": 238, "ordinal_position": 239}, {"identifier": "P25", "position": [2, 5], "step": 239, "ordinal_position": 240}, {"identifier": "I78", "position": [1, 5], "step": 240, "ordinal_position": 241}, {"identifier": "P88", "position": [1, 4], "step": 241, "ordinal_position": 242}, {"identifier": "M69", "position": [1, 3], "step": 242, "ordinal_position": 243}, {"identifier": "K72", "position": [1, 2], "step": 243, "ordinal_position": 244}, {"identifier": "Z68", "position": [1, 1], "step": 244, "ordinal_position": 245}, {"identifier": "D55", "position": [2, 1], "step": 245, "ordinal_position": 246}, {"identifier": "Y81", "position": [3, 1], "step": 246, "ordinal_position": 247}, {"identifier": "U72", "position": [4, 1], "step": 247, "ordinal_position": 248}, {"identifier": "G75", "position": [5, 1], "step": 248, "ordinal_position": 249}, {"identifier": "H28", "position": [5, 2], "step": 249, "ordinal_position": 250}, {"identifier": "K66", "position": [5, 3], "step": 250, "ordinal_position": 251}, {"identifier": "B05", "position": [5, 4], "step": 251, "ordinal_position": 252}, {"identifier": "N82", "position": [5, 5], "step": 252, "ordinal_position": 253}, {"identifier": "H92", "position": [4, 5], "step": 253, "ordinal_position": 254}, {"identifier": "E34", "position": [3, 5], "step": 254, "ordinal_position": 255}, {"identifier": "P25", "position": [2, 5], "step": 255, "ordinal_position": 256}, {"identifier": "I78", "position": [1, 5], "step": 256, "ordinal_position": 257}, {"identifier": "P88", "position": [1, 4], "step": 257, "ordinal_position": 258}, {"identifier": "M69", "position": [1, 3], "step": 258, "ordinal_position": 259}, {"identifier": "K72", "position": [1, 2], "step": 259, "ordinal_position": 260}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 260, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_004.json"}} {"qa_id": "b2f4e6f8f13c4157b88844da25c86d2b", "image_id": "L3-MazeLoop-test_7x7_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P25, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 236th position in this traversal?", "start_object_id": "P25", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [236], "ordinal_strings": ["236th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Z68", "traversal_path": [{"identifier": "P25", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "E34", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "H92", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "N82", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "B05", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "K66", "position": [5, 3], "step": 5, "ordinal_position": 6}, {"identifier": "H28", "position": [5, 2], "step": 6, "ordinal_position": 7}, {"identifier": "G75", "position": [5, 1], "step": 7, "ordinal_position": 8}, {"identifier": "U72", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Y81", "position": [3, 1], "step": 9, "ordinal_position": 10}, {"identifier": "D55", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Z68", "position": [1, 1], "step": 11, "ordinal_position": 12}, {"identifier": "K72", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "M69", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "P88", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "I78", "position": [1, 5], "step": 15, "ordinal_position": 16}, {"identifier": "P25", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "E34", "position": [3, 5], "step": 17, "ordinal_position": 18}, {"identifier": "H92", "position": [4, 5], "step": 18, "ordinal_position": 19}, {"identifier": "N82", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "B05", "position": [5, 4], "step": 20, "ordinal_position": 21}, {"identifier": "K66", "position": [5, 3], "step": 21, "ordinal_position": 22}, {"identifier": "H28", "position": [5, 2], "step": 22, "ordinal_position": 23}, {"identifier": "G75", "position": [5, 1], "step": 23, "ordinal_position": 24}, {"identifier": "U72", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "Y81", "position": [3, 1], "step": 25, "ordinal_position": 26}, {"identifier": "D55", "position": [2, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Z68", "position": [1, 1], "step": 27, "ordinal_position": 28}, {"identifier": "K72", "position": [1, 2], "step": 28, "ordinal_position": 29}, {"identifier": "M69", "position": [1, 3], "step": 29, "ordinal_position": 30}, {"identifier": "P88", "position": [1, 4], "step": 30, "ordinal_position": 31}, {"identifier": "I78", "position": [1, 5], "step": 31, "ordinal_position": 32}, {"identifier": "P25", "position": [2, 5], "step": 32, "ordinal_position": 33}, {"identifier": "E34", "position": [3, 5], "step": 33, "ordinal_position": 34}, {"identifier": "H92", "position": [4, 5], "step": 34, "ordinal_position": 35}, {"identifier": "N82", "position": [5, 5], "step": 35, "ordinal_position": 36}, {"identifier": "B05", "position": [5, 4], "step": 36, "ordinal_position": 37}, {"identifier": "K66", "position": [5, 3], "step": 37, "ordinal_position": 38}, {"identifier": "H28", "position": [5, 2], "step": 38, "ordinal_position": 39}, {"identifier": "G75", "position": [5, 1], "step": 39, "ordinal_position": 40}, {"identifier": "U72", "position": [4, 1], "step": 40, "ordinal_position": 41}, {"identifier": "Y81", "position": [3, 1], "step": 41, "ordinal_position": 42}, {"identifier": "D55", "position": [2, 1], "step": 42, "ordinal_position": 43}, {"identifier": "Z68", "position": [1, 1], "step": 43, "ordinal_position": 44}, {"identifier": "K72", "position": [1, 2], "step": 44, "ordinal_position": 45}, {"identifier": "M69", "position": [1, 3], "step": 45, "ordinal_position": 46}, {"identifier": "P88", "position": [1, 4], "step": 46, "ordinal_position": 47}, {"identifier": "I78", "position": [1, 5], "step": 47, "ordinal_position": 48}, {"identifier": "P25", "position": [2, 5], "step": 48, "ordinal_position": 49}, {"identifier": "E34", "position": [3, 5], "step": 49, "ordinal_position": 50}, {"identifier": "H92", "position": [4, 5], "step": 50, "ordinal_position": 51}, {"identifier": "N82", "position": [5, 5], "step": 51, "ordinal_position": 52}, {"identifier": "B05", "position": [5, 4], "step": 52, "ordinal_position": 53}, {"identifier": "K66", "position": [5, 3], "step": 53, "ordinal_position": 54}, {"identifier": "H28", "position": [5, 2], "step": 54, "ordinal_position": 55}, {"identifier": "G75", "position": [5, 1], "step": 55, "ordinal_position": 56}, {"identifier": "U72", "position": [4, 1], "step": 56, "ordinal_position": 57}, {"identifier": "Y81", "position": [3, 1], "step": 57, "ordinal_position": 58}, {"identifier": "D55", "position": [2, 1], "step": 58, "ordinal_position": 59}, {"identifier": "Z68", "position": [1, 1], "step": 59, "ordinal_position": 60}, {"identifier": "K72", "position": [1, 2], "step": 60, "ordinal_position": 61}, {"identifier": "M69", "position": [1, 3], "step": 61, "ordinal_position": 62}, {"identifier": "P88", "position": [1, 4], "step": 62, "ordinal_position": 63}, {"identifier": "I78", "position": [1, 5], "step": 63, "ordinal_position": 64}, {"identifier": "P25", "position": [2, 5], "step": 64, "ordinal_position": 65}, {"identifier": "E34", "position": [3, 5], "step": 65, "ordinal_position": 66}, {"identifier": "H92", "position": [4, 5], "step": 66, "ordinal_position": 67}, {"identifier": "N82", "position": [5, 5], "step": 67, "ordinal_position": 68}, {"identifier": "B05", "position": [5, 4], "step": 68, "ordinal_position": 69}, {"identifier": "K66", "position": [5, 3], "step": 69, "ordinal_position": 70}, {"identifier": "H28", "position": [5, 2], "step": 70, "ordinal_position": 71}, {"identifier": "G75", "position": [5, 1], "step": 71, "ordinal_position": 72}, {"identifier": "U72", "position": [4, 1], "step": 72, "ordinal_position": 73}, {"identifier": "Y81", "position": [3, 1], "step": 73, "ordinal_position": 74}, {"identifier": "D55", "position": [2, 1], "step": 74, "ordinal_position": 75}, {"identifier": "Z68", "position": [1, 1], "step": 75, "ordinal_position": 76}, {"identifier": "K72", "position": [1, 2], "step": 76, "ordinal_position": 77}, {"identifier": "M69", "position": [1, 3], "step": 77, "ordinal_position": 78}, {"identifier": "P88", "position": [1, 4], "step": 78, "ordinal_position": 79}, {"identifier": "I78", "position": [1, 5], "step": 79, "ordinal_position": 80}, {"identifier": "P25", "position": [2, 5], "step": 80, "ordinal_position": 81}, {"identifier": "E34", "position": [3, 5], "step": 81, "ordinal_position": 82}, {"identifier": "H92", "position": [4, 5], "step": 82, "ordinal_position": 83}, {"identifier": "N82", "position": [5, 5], "step": 83, "ordinal_position": 84}, {"identifier": "B05", "position": [5, 4], "step": 84, "ordinal_position": 85}, {"identifier": "K66", "position": [5, 3], "step": 85, "ordinal_position": 86}, {"identifier": "H28", "position": [5, 2], "step": 86, "ordinal_position": 87}, {"identifier": "G75", "position": [5, 1], "step": 87, "ordinal_position": 88}, {"identifier": "U72", "position": [4, 1], "step": 88, "ordinal_position": 89}, {"identifier": "Y81", "position": [3, 1], "step": 89, "ordinal_position": 90}, {"identifier": "D55", "position": [2, 1], "step": 90, "ordinal_position": 91}, {"identifier": "Z68", "position": [1, 1], "step": 91, "ordinal_position": 92}, {"identifier": "K72", "position": [1, 2], "step": 92, "ordinal_position": 93}, {"identifier": 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"ordinal_position": 106}, {"identifier": "D55", "position": [2, 1], "step": 106, "ordinal_position": 107}, {"identifier": "Z68", "position": [1, 1], "step": 107, "ordinal_position": 108}, {"identifier": "K72", "position": [1, 2], "step": 108, "ordinal_position": 109}, {"identifier": "M69", "position": [1, 3], "step": 109, "ordinal_position": 110}, {"identifier": "P88", "position": [1, 4], "step": 110, "ordinal_position": 111}, {"identifier": "I78", "position": [1, 5], "step": 111, "ordinal_position": 112}, {"identifier": "P25", "position": [2, 5], "step": 112, "ordinal_position": 113}, {"identifier": "E34", "position": [3, 5], "step": 113, "ordinal_position": 114}, {"identifier": "H92", "position": [4, 5], "step": 114, "ordinal_position": 115}, {"identifier": "N82", "position": [5, 5], "step": 115, "ordinal_position": 116}, {"identifier": "B05", "position": [5, 4], "step": 116, "ordinal_position": 117}, {"identifier": "K66", "position": [5, 3], "step": 117, "ordinal_position": 118}, {"identifier": "H28", "position": [5, 2], "step": 118, "ordinal_position": 119}, {"identifier": "G75", "position": [5, 1], "step": 119, "ordinal_position": 120}, {"identifier": "U72", "position": [4, 1], "step": 120, "ordinal_position": 121}, {"identifier": "Y81", "position": [3, 1], "step": 121, "ordinal_position": 122}, {"identifier": "D55", "position": [2, 1], "step": 122, "ordinal_position": 123}, {"identifier": "Z68", "position": [1, 1], "step": 123, "ordinal_position": 124}, {"identifier": "K72", "position": [1, 2], "step": 124, "ordinal_position": 125}, {"identifier": "M69", "position": [1, 3], "step": 125, "ordinal_position": 126}, {"identifier": "P88", "position": [1, 4], "step": 126, "ordinal_position": 127}, {"identifier": "I78", "position": [1, 5], "step": 127, "ordinal_position": 128}, {"identifier": "P25", "position": [2, 5], "step": 128, "ordinal_position": 129}, {"identifier": "E34", "position": [3, 5], "step": 129, "ordinal_position": 130}, {"identifier": "H92", 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142, "ordinal_position": 143}, {"identifier": "I78", "position": [1, 5], "step": 143, "ordinal_position": 144}, {"identifier": "P25", "position": [2, 5], "step": 144, "ordinal_position": 145}, {"identifier": "E34", "position": [3, 5], "step": 145, "ordinal_position": 146}, {"identifier": "H92", "position": [4, 5], "step": 146, "ordinal_position": 147}, {"identifier": "N82", "position": [5, 5], "step": 147, "ordinal_position": 148}, {"identifier": "B05", "position": [5, 4], "step": 148, "ordinal_position": 149}, {"identifier": "K66", "position": [5, 3], "step": 149, "ordinal_position": 150}, {"identifier": "H28", "position": [5, 2], "step": 150, "ordinal_position": 151}, {"identifier": "G75", "position": [5, 1], "step": 151, "ordinal_position": 152}, {"identifier": "U72", "position": [4, 1], "step": 152, "ordinal_position": 153}, {"identifier": "Y81", "position": [3, 1], "step": 153, "ordinal_position": 154}, {"identifier": "D55", "position": [2, 1], "step": 154, "ordinal_position": 155}, {"identifier": "Z68", "position": [1, 1], "step": 155, "ordinal_position": 156}, {"identifier": "K72", "position": [1, 2], "step": 156, "ordinal_position": 157}, {"identifier": "M69", "position": [1, 3], "step": 157, "ordinal_position": 158}, {"identifier": "P88", "position": [1, 4], "step": 158, "ordinal_position": 159}, {"identifier": "I78", "position": [1, 5], "step": 159, "ordinal_position": 160}, {"identifier": "P25", "position": [2, 5], "step": 160, "ordinal_position": 161}, {"identifier": "E34", "position": [3, 5], "step": 161, "ordinal_position": 162}, {"identifier": "H92", "position": [4, 5], "step": 162, "ordinal_position": 163}, {"identifier": "N82", "position": [5, 5], "step": 163, "ordinal_position": 164}, {"identifier": "B05", "position": [5, 4], "step": 164, "ordinal_position": 165}, {"identifier": "K66", "position": [5, 3], "step": 165, "ordinal_position": 166}, {"identifier": "H28", "position": [5, 2], "step": 166, "ordinal_position": 167}, {"identifier": "G75", 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179, "ordinal_position": 180}, {"identifier": "B05", "position": [5, 4], "step": 180, "ordinal_position": 181}, {"identifier": "K66", "position": [5, 3], "step": 181, "ordinal_position": 182}, {"identifier": "H28", "position": [5, 2], "step": 182, "ordinal_position": 183}, {"identifier": "G75", "position": [5, 1], "step": 183, "ordinal_position": 184}, {"identifier": "U72", "position": [4, 1], "step": 184, "ordinal_position": 185}, {"identifier": "Y81", "position": [3, 1], "step": 185, "ordinal_position": 186}, {"identifier": "D55", "position": [2, 1], "step": 186, "ordinal_position": 187}, {"identifier": "Z68", "position": [1, 1], "step": 187, "ordinal_position": 188}, {"identifier": "K72", "position": [1, 2], "step": 188, "ordinal_position": 189}, {"identifier": "M69", "position": [1, 3], "step": 189, "ordinal_position": 190}, {"identifier": "P88", "position": [1, 4], "step": 190, "ordinal_position": 191}, {"identifier": "I78", "position": [1, 5], "step": 191, "ordinal_position": 192}, {"identifier": "P25", "position": [2, 5], "step": 192, "ordinal_position": 193}, {"identifier": "E34", "position": [3, 5], "step": 193, "ordinal_position": 194}, {"identifier": "H92", "position": [4, 5], "step": 194, "ordinal_position": 195}, {"identifier": "N82", "position": [5, 5], "step": 195, "ordinal_position": 196}, {"identifier": "B05", "position": [5, 4], "step": 196, "ordinal_position": 197}, {"identifier": "K66", "position": [5, 3], "step": 197, "ordinal_position": 198}, {"identifier": "H28", "position": [5, 2], "step": 198, "ordinal_position": 199}, {"identifier": "G75", "position": [5, 1], "step": 199, "ordinal_position": 200}, {"identifier": "U72", "position": [4, 1], "step": 200, "ordinal_position": 201}, {"identifier": "Y81", "position": [3, 1], "step": 201, "ordinal_position": 202}, {"identifier": "D55", "position": [2, 1], "step": 202, "ordinal_position": 203}, {"identifier": "Z68", "position": [1, 1], "step": 203, "ordinal_position": 204}, {"identifier": "K72", "position": [1, 2], "step": 204, "ordinal_position": 205}, {"identifier": "M69", "position": [1, 3], "step": 205, "ordinal_position": 206}, {"identifier": "P88", "position": [1, 4], "step": 206, "ordinal_position": 207}, {"identifier": "I78", "position": [1, 5], "step": 207, "ordinal_position": 208}, {"identifier": "P25", "position": [2, 5], "step": 208, "ordinal_position": 209}, {"identifier": "E34", "position": [3, 5], "step": 209, "ordinal_position": 210}, {"identifier": "H92", "position": [4, 5], "step": 210, "ordinal_position": 211}, {"identifier": "N82", "position": [5, 5], "step": 211, "ordinal_position": 212}, {"identifier": "B05", "position": [5, 4], "step": 212, "ordinal_position": 213}, {"identifier": "K66", "position": [5, 3], "step": 213, "ordinal_position": 214}, {"identifier": "H28", "position": [5, 2], "step": 214, "ordinal_position": 215}, {"identifier": "G75", "position": [5, 1], "step": 215, "ordinal_position": 216}, {"identifier": "U72", "position": [4, 1], "step": 216, "ordinal_position": 217}, {"identifier": "Y81", "position": [3, 1], "step": 217, "ordinal_position": 218}, {"identifier": "D55", "position": [2, 1], "step": 218, "ordinal_position": 219}, {"identifier": "Z68", "position": [1, 1], "step": 219, "ordinal_position": 220}, {"identifier": "K72", "position": [1, 2], "step": 220, "ordinal_position": 221}, {"identifier": "M69", "position": [1, 3], "step": 221, "ordinal_position": 222}, {"identifier": "P88", "position": [1, 4], "step": 222, "ordinal_position": 223}, {"identifier": "I78", "position": [1, 5], "step": 223, "ordinal_position": 224}, {"identifier": "P25", "position": [2, 5], "step": 224, "ordinal_position": 225}, {"identifier": "E34", "position": [3, 5], "step": 225, "ordinal_position": 226}, {"identifier": "H92", "position": [4, 5], "step": 226, "ordinal_position": 227}, {"identifier": "N82", "position": [5, 5], "step": 227, "ordinal_position": 228}, {"identifier": "B05", "position": [5, 4], "step": 228, "ordinal_position": 229}, {"identifier": "K66", "position": [5, 3], "step": 229, "ordinal_position": 230}, {"identifier": "H28", "position": [5, 2], "step": 230, "ordinal_position": 231}, {"identifier": "G75", "position": [5, 1], "step": 231, "ordinal_position": 232}, {"identifier": "U72", "position": [4, 1], "step": 232, "ordinal_position": 233}, {"identifier": "Y81", "position": [3, 1], "step": 233, "ordinal_position": 234}, {"identifier": "D55", "position": [2, 1], "step": 234, "ordinal_position": 235}, {"identifier": "Z68", "position": [1, 1], "step": 235, "ordinal_position": 236}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 236, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_004.json"}} {"qa_id": "aea7d9bd369f437dbbd3926d05ecce34", "image_id": "L3-MazeLoop-test_7x7_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D55, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 228th position in this traversal?", "start_object_id": "D55", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [228], "ordinal_strings": ["228th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "M69", "traversal_path": [{"identifier": "D55", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Z68", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "K72", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "M69", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "P88", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "I78", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "P25", "position": [2, 5], "step": 6, "ordinal_position": 7}, {"identifier": "E34", "position": [3, 5], "step": 7, "ordinal_position": 8}, {"identifier": "H92", "position": [4, 5], "step": 8, "ordinal_position": 9}, {"identifier": "N82", "position": [5, 5], "step": 9, "ordinal_position": 10}, {"identifier": "B05", "position": [5, 4], "step": 10, "ordinal_position": 11}, {"identifier": "K66", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "H28", "position": [5, 2], "step": 12, "ordinal_position": 13}, {"identifier": "G75", "position": [5, 1], "step": 13, "ordinal_position": 14}, {"identifier": "U72", "position": [4, 1], "step": 14, "ordinal_position": 15}, {"identifier": "Y81", "position": [3, 1], "step": 15, "ordinal_position": 16}, {"identifier": "D55", "position": [2, 1], "step": 16, "ordinal_position": 17}, {"identifier": "Z68", "position": [1, 1], "step": 17, "ordinal_position": 18}, {"identifier": "K72", "position": [1, 2], "step": 18, "ordinal_position": 19}, {"identifier": "M69", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "P88", "position": [1, 4], "step": 20, "ordinal_position": 21}, {"identifier": "I78", "position": [1, 5], "step": 21, "ordinal_position": 22}, {"identifier": "P25", "position": [2, 5], "step": 22, "ordinal_position": 23}, {"identifier": "E34", "position": [3, 5], "step": 23, "ordinal_position": 24}, {"identifier": "H92", "position": [4, 5], "step": 24, "ordinal_position": 25}, {"identifier": "N82", "position": [5, 5], "step": 25, "ordinal_position": 26}, {"identifier": "B05", "position": [5, 4], "step": 26, "ordinal_position": 27}, {"identifier": "K66", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "H28", "position": [5, 2], "step": 28, "ordinal_position": 29}, {"identifier": "G75", "position": [5, 1], "step": 29, "ordinal_position": 30}, {"identifier": "U72", "position": [4, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Y81", "position": [3, 1], "step": 31, "ordinal_position": 32}, {"identifier": "D55", "position": [2, 1], "step": 32, "ordinal_position": 33}, {"identifier": "Z68", "position": [1, 1], "step": 33, "ordinal_position": 34}, {"identifier": "K72", "position": [1, 2], "step": 34, "ordinal_position": 35}, {"identifier": "M69", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "P88", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "I78", "position": [1, 5], "step": 37, "ordinal_position": 38}, {"identifier": "P25", "position": [2, 5], "step": 38, "ordinal_position": 39}, {"identifier": "E34", "position": [3, 5], "step": 39, "ordinal_position": 40}, {"identifier": "H92", "position": [4, 5], "step": 40, "ordinal_position": 41}, {"identifier": "N82", "position": [5, 5], "step": 41, "ordinal_position": 42}, {"identifier": "B05", "position": [5, 4], "step": 42, "ordinal_position": 43}, {"identifier": "K66", "position": [5, 3], "step": 43, "ordinal_position": 44}, {"identifier": "H28", "position": [5, 2], "step": 44, "ordinal_position": 45}, {"identifier": "G75", "position": [5, 1], "step": 45, "ordinal_position": 46}, {"identifier": "U72", "position": [4, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Y81", "position": [3, 1], "step": 47, "ordinal_position": 48}, {"identifier": "D55", "position": [2, 1], "step": 48, "ordinal_position": 49}, {"identifier": "Z68", "position": [1, 1], "step": 49, "ordinal_position": 50}, {"identifier": "K72", "position": [1, 2], "step": 50, "ordinal_position": 51}, {"identifier": "M69", "position": [1, 3], "step": 51, "ordinal_position": 52}, {"identifier": "P88", "position": [1, 4], "step": 52, "ordinal_position": 53}, {"identifier": "I78", "position": [1, 5], "step": 53, "ordinal_position": 54}, {"identifier": "P25", "position": [2, 5], "step": 54, "ordinal_position": 55}, {"identifier": "E34", "position": [3, 5], "step": 55, "ordinal_position": 56}, {"identifier": "H92", "position": [4, 5], "step": 56, "ordinal_position": 57}, {"identifier": "N82", "position": [5, 5], "step": 57, "ordinal_position": 58}, {"identifier": "B05", "position": [5, 4], "step": 58, "ordinal_position": 59}, {"identifier": "K66", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "H28", "position": [5, 2], "step": 60, "ordinal_position": 61}, {"identifier": "G75", "position": [5, 1], "step": 61, "ordinal_position": 62}, {"identifier": "U72", "position": [4, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Y81", "position": [3, 1], "step": 63, "ordinal_position": 64}, {"identifier": "D55", "position": [2, 1], "step": 64, "ordinal_position": 65}, {"identifier": "Z68", "position": [1, 1], "step": 65, "ordinal_position": 66}, {"identifier": "K72", "position": [1, 2], "step": 66, "ordinal_position": 67}, {"identifier": "M69", "position": [1, 3], "step": 67, "ordinal_position": 68}, {"identifier": "P88", "position": [1, 4], "step": 68, "ordinal_position": 69}, {"identifier": "I78", "position": [1, 5], "step": 69, "ordinal_position": 70}, {"identifier": "P25", "position": [2, 5], "step": 70, "ordinal_position": 71}, {"identifier": "E34", "position": [3, 5], "step": 71, "ordinal_position": 72}, {"identifier": "H92", "position": [4, 5], "step": 72, "ordinal_position": 73}, {"identifier": "N82", "position": [5, 5], "step": 73, "ordinal_position": 74}, {"identifier": "B05", "position": [5, 4], "step": 74, "ordinal_position": 75}, {"identifier": "K66", "position": [5, 3], 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"ordinal_position": 101}, {"identifier": "I78", "position": [1, 5], "step": 101, "ordinal_position": 102}, {"identifier": "P25", "position": [2, 5], "step": 102, "ordinal_position": 103}, {"identifier": "E34", "position": [3, 5], "step": 103, "ordinal_position": 104}, {"identifier": "H92", "position": [4, 5], "step": 104, "ordinal_position": 105}, {"identifier": "N82", "position": [5, 5], "step": 105, "ordinal_position": 106}, {"identifier": "B05", "position": [5, 4], "step": 106, "ordinal_position": 107}, {"identifier": "K66", "position": [5, 3], "step": 107, "ordinal_position": 108}, {"identifier": "H28", "position": [5, 2], "step": 108, "ordinal_position": 109}, {"identifier": "G75", "position": [5, 1], "step": 109, "ordinal_position": 110}, {"identifier": "U72", "position": [4, 1], "step": 110, "ordinal_position": 111}, {"identifier": "Y81", "position": [3, 1], "step": 111, "ordinal_position": 112}, {"identifier": "D55", "position": [2, 1], "step": 112, "ordinal_position": 113}, {"identifier": "Z68", "position": [1, 1], "step": 113, "ordinal_position": 114}, {"identifier": "K72", "position": [1, 2], "step": 114, "ordinal_position": 115}, {"identifier": "M69", "position": [1, 3], "step": 115, "ordinal_position": 116}, {"identifier": "P88", "position": [1, 4], "step": 116, "ordinal_position": 117}, {"identifier": "I78", "position": [1, 5], "step": 117, "ordinal_position": 118}, {"identifier": "P25", "position": [2, 5], "step": 118, "ordinal_position": 119}, {"identifier": "E34", "position": [3, 5], "step": 119, "ordinal_position": 120}, {"identifier": "H92", "position": [4, 5], "step": 120, "ordinal_position": 121}, {"identifier": "N82", "position": [5, 5], "step": 121, "ordinal_position": 122}, {"identifier": "B05", "position": [5, 4], "step": 122, "ordinal_position": 123}, {"identifier": "K66", "position": [5, 3], "step": 123, "ordinal_position": 124}, {"identifier": "H28", "position": [5, 2], "step": 124, "ordinal_position": 125}, {"identifier": "G75", "position": [5, 1], "step": 125, "ordinal_position": 126}, {"identifier": "U72", "position": [4, 1], "step": 126, "ordinal_position": 127}, {"identifier": "Y81", "position": [3, 1], "step": 127, "ordinal_position": 128}, {"identifier": "D55", "position": [2, 1], "step": 128, "ordinal_position": 129}, {"identifier": "Z68", "position": [1, 1], "step": 129, "ordinal_position": 130}, {"identifier": "K72", "position": [1, 2], "step": 130, "ordinal_position": 131}, {"identifier": "M69", "position": [1, 3], "step": 131, "ordinal_position": 132}, {"identifier": "P88", "position": [1, 4], "step": 132, "ordinal_position": 133}, {"identifier": "I78", "position": [1, 5], "step": 133, "ordinal_position": 134}, {"identifier": "P25", "position": [2, 5], "step": 134, "ordinal_position": 135}, {"identifier": "E34", "position": [3, 5], "step": 135, "ordinal_position": 136}, {"identifier": "H92", "position": [4, 5], "step": 136, "ordinal_position": 137}, {"identifier": "N82", "position": [5, 5], "step": 137, "ordinal_position": 138}, {"identifier": "B05", "position": [5, 4], "step": 138, "ordinal_position": 139}, {"identifier": "K66", "position": [5, 3], "step": 139, "ordinal_position": 140}, {"identifier": "H28", "position": [5, 2], "step": 140, "ordinal_position": 141}, {"identifier": "G75", "position": [5, 1], "step": 141, "ordinal_position": 142}, {"identifier": "U72", "position": [4, 1], "step": 142, "ordinal_position": 143}, {"identifier": "Y81", "position": [3, 1], "step": 143, "ordinal_position": 144}, {"identifier": "D55", "position": [2, 1], "step": 144, "ordinal_position": 145}, {"identifier": "Z68", "position": [1, 1], "step": 145, "ordinal_position": 146}, {"identifier": "K72", "position": [1, 2], "step": 146, "ordinal_position": 147}, {"identifier": "M69", "position": [1, 3], "step": 147, "ordinal_position": 148}, {"identifier": "P88", "position": [1, 4], "step": 148, "ordinal_position": 149}, {"identifier": "I78", "position": [1, 5], "step": 149, "ordinal_position": 150}, {"identifier": "P25", "position": [2, 5], "step": 150, "ordinal_position": 151}, {"identifier": "E34", "position": [3, 5], "step": 151, "ordinal_position": 152}, {"identifier": "H92", "position": [4, 5], "step": 152, "ordinal_position": 153}, {"identifier": "N82", "position": [5, 5], "step": 153, "ordinal_position": 154}, {"identifier": "B05", "position": [5, 4], "step": 154, "ordinal_position": 155}, {"identifier": "K66", "position": [5, 3], "step": 155, "ordinal_position": 156}, {"identifier": "H28", "position": [5, 2], "step": 156, "ordinal_position": 157}, {"identifier": "G75", "position": [5, 1], "step": 157, "ordinal_position": 158}, {"identifier": "U72", "position": [4, 1], "step": 158, "ordinal_position": 159}, {"identifier": "Y81", "position": [3, 1], "step": 159, "ordinal_position": 160}, {"identifier": "D55", "position": [2, 1], "step": 160, "ordinal_position": 161}, {"identifier": "Z68", "position": [1, 1], "step": 161, "ordinal_position": 162}, {"identifier": "K72", "position": [1, 2], "step": 162, "ordinal_position": 163}, {"identifier": "M69", "position": [1, 3], "step": 163, "ordinal_position": 164}, {"identifier": "P88", "position": [1, 4], "step": 164, "ordinal_position": 165}, {"identifier": "I78", "position": [1, 5], "step": 165, "ordinal_position": 166}, {"identifier": "P25", "position": [2, 5], "step": 166, "ordinal_position": 167}, {"identifier": "E34", "position": [3, 5], "step": 167, "ordinal_position": 168}, {"identifier": "H92", "position": [4, 5], "step": 168, "ordinal_position": 169}, {"identifier": "N82", "position": [5, 5], "step": 169, "ordinal_position": 170}, {"identifier": "B05", "position": [5, 4], "step": 170, "ordinal_position": 171}, {"identifier": "K66", "position": [5, 3], "step": 171, "ordinal_position": 172}, {"identifier": "H28", "position": [5, 2], "step": 172, "ordinal_position": 173}, {"identifier": "G75", "position": [5, 1], "step": 173, "ordinal_position": 174}, {"identifier": "U72", "position": [4, 1], "step": 174, "ordinal_position": 175}, {"identifier": "Y81", "position": [3, 1], "step": 175, "ordinal_position": 176}, {"identifier": "D55", "position": [2, 1], "step": 176, "ordinal_position": 177}, {"identifier": "Z68", "position": [1, 1], "step": 177, "ordinal_position": 178}, {"identifier": "K72", "position": [1, 2], "step": 178, "ordinal_position": 179}, {"identifier": "M69", "position": [1, 3], "step": 179, "ordinal_position": 180}, {"identifier": "P88", "position": [1, 4], "step": 180, "ordinal_position": 181}, {"identifier": "I78", "position": [1, 5], "step": 181, "ordinal_position": 182}, {"identifier": "P25", "position": [2, 5], "step": 182, "ordinal_position": 183}, {"identifier": "E34", "position": [3, 5], "step": 183, "ordinal_position": 184}, {"identifier": "H92", "position": [4, 5], "step": 184, "ordinal_position": 185}, {"identifier": "N82", "position": [5, 5], "step": 185, "ordinal_position": 186}, {"identifier": "B05", "position": [5, 4], "step": 186, "ordinal_position": 187}, {"identifier": "K66", "position": [5, 3], "step": 187, "ordinal_position": 188}, {"identifier": "H28", "position": [5, 2], "step": 188, "ordinal_position": 189}, {"identifier": "G75", "position": [5, 1], "step": 189, "ordinal_position": 190}, {"identifier": "U72", "position": [4, 1], "step": 190, "ordinal_position": 191}, {"identifier": "Y81", "position": [3, 1], "step": 191, "ordinal_position": 192}, {"identifier": "D55", "position": [2, 1], "step": 192, "ordinal_position": 193}, {"identifier": "Z68", "position": [1, 1], "step": 193, "ordinal_position": 194}, {"identifier": "K72", "position": [1, 2], "step": 194, "ordinal_position": 195}, {"identifier": "M69", "position": [1, 3], "step": 195, "ordinal_position": 196}, {"identifier": "P88", "position": [1, 4], "step": 196, "ordinal_position": 197}, {"identifier": "I78", "position": [1, 5], "step": 197, "ordinal_position": 198}, {"identifier": "P25", "position": [2, 5], "step": 198, "ordinal_position": 199}, {"identifier": "E34", "position": [3, 5], "step": 199, "ordinal_position": 200}, {"identifier": "H92", "position": [4, 5], "step": 200, "ordinal_position": 201}, {"identifier": "N82", "position": [5, 5], "step": 201, "ordinal_position": 202}, {"identifier": "B05", "position": [5, 4], "step": 202, "ordinal_position": 203}, {"identifier": "K66", "position": [5, 3], "step": 203, "ordinal_position": 204}, {"identifier": "H28", "position": [5, 2], "step": 204, "ordinal_position": 205}, {"identifier": "G75", "position": [5, 1], "step": 205, "ordinal_position": 206}, {"identifier": "U72", "position": [4, 1], "step": 206, "ordinal_position": 207}, {"identifier": "Y81", "position": [3, 1], "step": 207, "ordinal_position": 208}, {"identifier": "D55", "position": [2, 1], "step": 208, "ordinal_position": 209}, {"identifier": "Z68", "position": [1, 1], "step": 209, "ordinal_position": 210}, {"identifier": "K72", "position": [1, 2], "step": 210, "ordinal_position": 211}, {"identifier": "M69", "position": [1, 3], "step": 211, "ordinal_position": 212}, {"identifier": "P88", "position": [1, 4], "step": 212, "ordinal_position": 213}, {"identifier": "I78", "position": [1, 5], "step": 213, "ordinal_position": 214}, {"identifier": "P25", "position": [2, 5], "step": 214, "ordinal_position": 215}, {"identifier": "E34", "position": [3, 5], "step": 215, "ordinal_position": 216}, {"identifier": "H92", "position": [4, 5], "step": 216, "ordinal_position": 217}, {"identifier": "N82", "position": [5, 5], "step": 217, "ordinal_position": 218}, {"identifier": "B05", "position": [5, 4], "step": 218, "ordinal_position": 219}, {"identifier": "K66", "position": [5, 3], "step": 219, "ordinal_position": 220}, {"identifier": "H28", "position": [5, 2], "step": 220, "ordinal_position": 221}, {"identifier": "G75", "position": [5, 1], "step": 221, "ordinal_position": 222}, {"identifier": "U72", "position": [4, 1], "step": 222, "ordinal_position": 223}, {"identifier": "Y81", "position": [3, 1], "step": 223, "ordinal_position": 224}, {"identifier": "D55", "position": [2, 1], "step": 224, "ordinal_position": 225}, {"identifier": "Z68", "position": [1, 1], "step": 225, "ordinal_position": 226}, {"identifier": "K72", "position": [1, 2], "step": 226, "ordinal_position": 227}, {"identifier": "M69", "position": [1, 3], "step": 227, "ordinal_position": 228}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 228, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_004.json"}} {"qa_id": "8a1260b18b47447ebf5078c8cbdb5671", "image_id": "L3-MazeLoop-test_7x7_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G75, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 100th position in this traversal?", "start_object_id": "G75", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [100], "ordinal_strings": ["100th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "B05", "traversal_path": [{"identifier": "G75", "position": [5, 1], "step": 0, "ordinal_position": 1}, {"identifier": "H28", "position": [5, 2], "step": 1, "ordinal_position": 2}, {"identifier": "K66", "position": [5, 3], "step": 2, "ordinal_position": 3}, {"identifier": "B05", "position": [5, 4], "step": 3, "ordinal_position": 4}, {"identifier": "N82", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "H92", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "E34", "position": [3, 5], "step": 6, "ordinal_position": 7}, {"identifier": "P25", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "I78", "position": [1, 5], "step": 8, "ordinal_position": 9}, {"identifier": "P88", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "M69", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "K72", "position": [1, 2], "step": 11, "ordinal_position": 12}, {"identifier": "Z68", "position": [1, 1], "step": 12, "ordinal_position": 13}, {"identifier": "D55", "position": [2, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Y81", "position": [3, 1], "step": 14, "ordinal_position": 15}, {"identifier": "U72", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "G75", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "H28", "position": [5, 2], "step": 17, "ordinal_position": 18}, {"identifier": "K66", "position": [5, 3], "step": 18, "ordinal_position": 19}, {"identifier": "B05", "position": [5, 4], "step": 19, "ordinal_position": 20}, {"identifier": "N82", "position": [5, 5], "step": 20, "ordinal_position": 21}, {"identifier": "H92", "position": [4, 5], "step": 21, "ordinal_position": 22}, {"identifier": "E34", "position": [3, 5], "step": 22, "ordinal_position": 23}, {"identifier": "P25", "position": [2, 5], "step": 23, "ordinal_position": 24}, {"identifier": "I78", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "P88", "position": [1, 4], "step": 25, "ordinal_position": 26}, {"identifier": "M69", "position": [1, 3], "step": 26, "ordinal_position": 27}, {"identifier": "K72", "position": [1, 2], "step": 27, "ordinal_position": 28}, {"identifier": "Z68", "position": [1, 1], "step": 28, "ordinal_position": 29}, {"identifier": "D55", "position": [2, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Y81", "position": [3, 1], "step": 30, "ordinal_position": 31}, {"identifier": "U72", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "G75", "position": [5, 1], "step": 32, "ordinal_position": 33}, {"identifier": "H28", "position": [5, 2], "step": 33, "ordinal_position": 34}, {"identifier": "K66", "position": [5, 3], "step": 34, "ordinal_position": 35}, {"identifier": "B05", "position": [5, 4], "step": 35, "ordinal_position": 36}, {"identifier": "N82", "position": [5, 5], "step": 36, "ordinal_position": 37}, {"identifier": "H92", "position": [4, 5], "step": 37, "ordinal_position": 38}, {"identifier": "E34", "position": [3, 5], "step": 38, "ordinal_position": 39}, {"identifier": "P25", "position": [2, 5], "step": 39, "ordinal_position": 40}, {"identifier": "I78", "position": [1, 5], "step": 40, "ordinal_position": 41}, {"identifier": "P88", "position": [1, 4], "step": 41, "ordinal_position": 42}, {"identifier": "M69", "position": [1, 3], "step": 42, "ordinal_position": 43}, {"identifier": "K72", "position": [1, 2], "step": 43, "ordinal_position": 44}, {"identifier": "Z68", "position": [1, 1], "step": 44, "ordinal_position": 45}, {"identifier": "D55", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Y81", "position": [3, 1], "step": 46, "ordinal_position": 47}, {"identifier": "U72", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "G75", "position": [5, 1], "step": 48, "ordinal_position": 49}, {"identifier": "H28", "position": [5, 2], "step": 49, "ordinal_position": 50}, {"identifier": "K66", "position": [5, 3], "step": 50, "ordinal_position": 51}, {"identifier": "B05", "position": [5, 4], "step": 51, "ordinal_position": 52}, {"identifier": "N82", "position": [5, 5], "step": 52, "ordinal_position": 53}, {"identifier": "H92", "position": [4, 5], "step": 53, "ordinal_position": 54}, {"identifier": "E34", "position": [3, 5], "step": 54, "ordinal_position": 55}, {"identifier": "P25", "position": [2, 5], "step": 55, "ordinal_position": 56}, {"identifier": "I78", "position": [1, 5], "step": 56, "ordinal_position": 57}, {"identifier": "P88", "position": [1, 4], "step": 57, "ordinal_position": 58}, {"identifier": "M69", "position": [1, 3], "step": 58, "ordinal_position": 59}, {"identifier": "K72", "position": [1, 2], "step": 59, "ordinal_position": 60}, {"identifier": "Z68", "position": [1, 1], "step": 60, "ordinal_position": 61}, {"identifier": "D55", "position": [2, 1], "step": 61, "ordinal_position": 62}, {"identifier": "Y81", "position": [3, 1], "step": 62, "ordinal_position": 63}, {"identifier": "U72", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "G75", "position": [5, 1], "step": 64, "ordinal_position": 65}, {"identifier": "H28", "position": [5, 2], "step": 65, "ordinal_position": 66}, {"identifier": "K66", "position": [5, 3], "step": 66, "ordinal_position": 67}, {"identifier": "B05", "position": [5, 4], "step": 67, "ordinal_position": 68}, {"identifier": "N82", "position": [5, 5], "step": 68, "ordinal_position": 69}, {"identifier": "H92", "position": [4, 5], "step": 69, "ordinal_position": 70}, {"identifier": "E34", "position": [3, 5], "step": 70, "ordinal_position": 71}, {"identifier": "P25", "position": [2, 5], "step": 71, "ordinal_position": 72}, {"identifier": "I78", "position": [1, 5], "step": 72, "ordinal_position": 73}, {"identifier": "P88", "position": [1, 4], "step": 73, "ordinal_position": 74}, {"identifier": "M69", "position": [1, 3], "step": 74, "ordinal_position": 75}, {"identifier": "K72", "position": [1, 2], "step": 75, "ordinal_position": 76}, {"identifier": "Z68", "position": [1, 1], "step": 76, "ordinal_position": 77}, {"identifier": "D55", "position": [2, 1], "step": 77, "ordinal_position": 78}, {"identifier": "Y81", "position": [3, 1], "step": 78, "ordinal_position": 79}, {"identifier": "U72", "position": [4, 1], "step": 79, "ordinal_position": 80}, {"identifier": "G75", "position": [5, 1], "step": 80, "ordinal_position": 81}, {"identifier": "H28", "position": [5, 2], "step": 81, "ordinal_position": 82}, {"identifier": "K66", "position": [5, 3], "step": 82, "ordinal_position": 83}, {"identifier": "B05", "position": [5, 4], "step": 83, "ordinal_position": 84}, {"identifier": "N82", "position": [5, 5], "step": 84, "ordinal_position": 85}, {"identifier": "H92", "position": [4, 5], "step": 85, "ordinal_position": 86}, {"identifier": "E34", "position": [3, 5], "step": 86, "ordinal_position": 87}, {"identifier": "P25", "position": [2, 5], "step": 87, "ordinal_position": 88}, {"identifier": "I78", "position": [1, 5], "step": 88, "ordinal_position": 89}, {"identifier": "P88", "position": [1, 4], "step": 89, "ordinal_position": 90}, {"identifier": "M69", "position": [1, 3], "step": 90, "ordinal_position": 91}, {"identifier": "K72", "position": [1, 2], "step": 91, "ordinal_position": 92}, {"identifier": "Z68", "position": [1, 1], "step": 92, "ordinal_position": 93}, {"identifier": "D55", "position": [2, 1], "step": 93, "ordinal_position": 94}, {"identifier": "Y81", "position": [3, 1], "step": 94, "ordinal_position": 95}, {"identifier": "U72", "position": [4, 1], "step": 95, "ordinal_position": 96}, {"identifier": "G75", "position": [5, 1], "step": 96, "ordinal_position": 97}, {"identifier": "H28", "position": [5, 2], "step": 97, "ordinal_position": 98}, {"identifier": "K66", "position": [5, 3], "step": 98, "ordinal_position": 99}, {"identifier": "B05", "position": [5, 4], "step": 99, "ordinal_position": 100}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 100, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_004.json"}} {"qa_id": "4c45cbccb23a4f52af7eea7d601ae278", "image_id": "L3-MazeLoop-test_7x7_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L44, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "L44", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "A53", "traversal_path": [{"identifier": "L44", "position": [4, 5], "step": 0, "ordinal_position": 1}, {"identifier": "H45", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "F18", "position": [5, 4], "step": 2, "ordinal_position": 3}, {"identifier": "F68", "position": [5, 3], "step": 3, "ordinal_position": 4}, {"identifier": "A53", "position": [5, 2], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_005.json"}} {"qa_id": "5378e63c011647d091870f11b6114b42", "image_id": "L3-MazeLoop-test_7x7_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z31, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "Z31", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "I87", "traversal_path": [{"identifier": "Z31", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "G53", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "P95", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "F41", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "I87", "position": [1, 2], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_005.json"}} {"qa_id": "8d63e02e46ec48a7aca37adc3d6e6077", "image_id": "L3-MazeLoop-test_7x7_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I87, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "I87", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "L44", "traversal_path": [{"identifier": "I87", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "S22", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "A21", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "Q71", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "C94", "position": [2, 5], "step": 4, "ordinal_position": 5}, {"identifier": "A07", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "L44", "position": [4, 5], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_005.json"}} {"qa_id": "89b0b0191a8644d3a69c256587a03dfe", "image_id": "L3-MazeLoop-test_7x7_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F68, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "F68", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Q71", "traversal_path": [{"identifier": "F68", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "F18", "position": [5, 4], "step": 1, "ordinal_position": 2}, {"identifier": "H45", "position": [5, 5], "step": 2, "ordinal_position": 3}, {"identifier": "L44", "position": [4, 5], "step": 3, "ordinal_position": 4}, {"identifier": "A07", "position": [3, 5], "step": 4, "ordinal_position": 5}, {"identifier": "C94", "position": [2, 5], "step": 5, "ordinal_position": 6}, {"identifier": "Q71", "position": [1, 5], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_005.json"}} {"qa_id": "0342241957ff40679eb3834fdaacc2ef", "image_id": "L3-MazeLoop-test_7x7_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G53, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "G53", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "I87", "traversal_path": [{"identifier": "G53", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "P95", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "F41", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "I87", "position": [1, 2], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_005.json"}} {"qa_id": "8110457e14b8419e92f1ee348e03b27d", "image_id": "L3-MazeLoop-test_7x7_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H45, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 32nd position in this traversal?", "start_object_id": "H45", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [32], "ordinal_strings": ["32nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "L44", "traversal_path": [{"identifier": "H45", "position": [5, 5], "step": 0, "ordinal_position": 1}, {"identifier": "F18", "position": [5, 4], "step": 1, "ordinal_position": 2}, {"identifier": "F68", "position": [5, 3], "step": 2, "ordinal_position": 3}, {"identifier": "A53", "position": [5, 2], "step": 3, "ordinal_position": 4}, {"identifier": "X50", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Z31", "position": [4, 1], "step": 5, "ordinal_position": 6}, {"identifier": "G53", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "P95", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "F41", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "I87", "position": [1, 2], "step": 9, "ordinal_position": 10}, {"identifier": "S22", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "A21", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "Q71", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "C94", "position": [2, 5], "step": 13, "ordinal_position": 14}, {"identifier": "A07", "position": [3, 5], "step": 14, "ordinal_position": 15}, {"identifier": "L44", "position": [4, 5], "step": 15, "ordinal_position": 16}, {"identifier": "H45", "position": [5, 5], "step": 16, "ordinal_position": 17}, {"identifier": "F18", "position": [5, 4], "step": 17, "ordinal_position": 18}, {"identifier": "F68", "position": [5, 3], "step": 18, "ordinal_position": 19}, {"identifier": "A53", "position": [5, 2], "step": 19, "ordinal_position": 20}, {"identifier": "X50", "position": [5, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Z31", "position": [4, 1], "step": 21, "ordinal_position": 22}, {"identifier": "G53", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "P95", "position": [2, 1], "step": 23, "ordinal_position": 24}, {"identifier": "F41", "position": [1, 1], "step": 24, "ordinal_position": 25}, {"identifier": "I87", "position": [1, 2], "step": 25, "ordinal_position": 26}, {"identifier": "S22", "position": [1, 3], "step": 26, "ordinal_position": 27}, {"identifier": "A21", "position": [1, 4], "step": 27, "ordinal_position": 28}, {"identifier": "Q71", "position": [1, 5], "step": 28, "ordinal_position": 29}, {"identifier": "C94", "position": [2, 5], "step": 29, "ordinal_position": 30}, {"identifier": "A07", "position": [3, 5], "step": 30, "ordinal_position": 31}, {"identifier": "L44", "position": [4, 5], "step": 31, "ordinal_position": 32}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 32, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_005.json"}} {"qa_id": "acb4b51049a244cdbe2a1949ff7df98b", "image_id": "L3-MazeLoop-test_7x7_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C94, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 82nd position in this traversal?", "start_object_id": "C94", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [82], "ordinal_strings": ["82nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Q71", "traversal_path": [{"identifier": "C94", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "Q71", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "A21", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "S22", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "I87", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "F41", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "P95", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "G53", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "Z31", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "X50", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "A53", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "F68", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "F18", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "H45", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "L44", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "A07", "position": [3, 5], "step": 15, "ordinal_position": 16}, {"identifier": "C94", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "Q71", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "A21", "position": [1, 4], "step": 18, "ordinal_position": 19}, {"identifier": "S22", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "I87", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "F41", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "P95", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "G53", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "Z31", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "X50", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "A53", "position": [5, 2], "step": 26, "ordinal_position": 27}, {"identifier": "F68", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "F18", "position": [5, 4], "step": 28, "ordinal_position": 29}, {"identifier": "H45", "position": [5, 5], "step": 29, "ordinal_position": 30}, {"identifier": "L44", "position": [4, 5], "step": 30, "ordinal_position": 31}, {"identifier": "A07", "position": [3, 5], "step": 31, "ordinal_position": 32}, {"identifier": "C94", "position": [2, 5], "step": 32, "ordinal_position": 33}, {"identifier": "Q71", "position": [1, 5], "step": 33, "ordinal_position": 34}, {"identifier": "A21", "position": [1, 4], "step": 34, "ordinal_position": 35}, {"identifier": "S22", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "I87", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "F41", "position": [1, 1], "step": 37, "ordinal_position": 38}, {"identifier": "P95", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "G53", "position": [3, 1], "step": 39, "ordinal_position": 40}, {"identifier": "Z31", "position": [4, 1], "step": 40, "ordinal_position": 41}, {"identifier": "X50", "position": [5, 1], "step": 41, "ordinal_position": 42}, {"identifier": "A53", "position": [5, 2], "step": 42, "ordinal_position": 43}, {"identifier": "F68", "position": [5, 3], "step": 43, "ordinal_position": 44}, {"identifier": "F18", "position": [5, 4], "step": 44, "ordinal_position": 45}, {"identifier": "H45", "position": [5, 5], "step": 45, "ordinal_position": 46}, {"identifier": "L44", "position": [4, 5], "step": 46, "ordinal_position": 47}, {"identifier": "A07", "position": [3, 5], "step": 47, "ordinal_position": 48}, {"identifier": "C94", "position": [2, 5], "step": 48, "ordinal_position": 49}, {"identifier": "Q71", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "A21", "position": [1, 4], "step": 50, "ordinal_position": 51}, {"identifier": "S22", "position": [1, 3], "step": 51, "ordinal_position": 52}, {"identifier": "I87", "position": [1, 2], "step": 52, "ordinal_position": 53}, {"identifier": "F41", "position": [1, 1], "step": 53, "ordinal_position": 54}, {"identifier": "P95", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "G53", "position": [3, 1], "step": 55, "ordinal_position": 56}, {"identifier": "Z31", "position": [4, 1], "step": 56, "ordinal_position": 57}, {"identifier": "X50", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "A53", "position": [5, 2], "step": 58, "ordinal_position": 59}, {"identifier": "F68", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "F18", "position": [5, 4], "step": 60, "ordinal_position": 61}, {"identifier": "H45", "position": [5, 5], "step": 61, "ordinal_position": 62}, {"identifier": "L44", "position": [4, 5], "step": 62, "ordinal_position": 63}, {"identifier": "A07", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "C94", "position": [2, 5], "step": 64, "ordinal_position": 65}, {"identifier": "Q71", "position": [1, 5], "step": 65, "ordinal_position": 66}, {"identifier": "A21", "position": [1, 4], "step": 66, "ordinal_position": 67}, {"identifier": "S22", "position": [1, 3], "step": 67, "ordinal_position": 68}, {"identifier": "I87", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "F41", "position": [1, 1], "step": 69, "ordinal_position": 70}, {"identifier": "P95", "position": [2, 1], "step": 70, "ordinal_position": 71}, {"identifier": "G53", "position": [3, 1], "step": 71, "ordinal_position": 72}, {"identifier": "Z31", "position": [4, 1], "step": 72, "ordinal_position": 73}, {"identifier": "X50", "position": [5, 1], "step": 73, "ordinal_position": 74}, {"identifier": "A53", "position": [5, 2], "step": 74, "ordinal_position": 75}, {"identifier": "F68", "position": [5, 3], "step": 75, "ordinal_position": 76}, {"identifier": "F18", "position": [5, 4], "step": 76, "ordinal_position": 77}, {"identifier": "H45", "position": [5, 5], "step": 77, "ordinal_position": 78}, {"identifier": "L44", "position": [4, 5], "step": 78, "ordinal_position": 79}, {"identifier": "A07", "position": [3, 5], "step": 79, "ordinal_position": 80}, {"identifier": "C94", "position": [2, 5], "step": 80, "ordinal_position": 81}, {"identifier": "Q71", "position": [1, 5], "step": 81, "ordinal_position": 82}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 82, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_005.json"}} {"qa_id": "5244137a896d4a16876491610b90f837", "image_id": "L3-MazeLoop-test_7x7_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A53, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 41st position in this traversal?", "start_object_id": "A53", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [41], "ordinal_strings": ["41st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "A21", "traversal_path": [{"identifier": "A53", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "X50", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Z31", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "G53", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "P95", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "F41", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "I87", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "S22", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "A21", "position": [1, 4], "step": 8, "ordinal_position": 9}, {"identifier": "Q71", "position": [1, 5], "step": 9, "ordinal_position": 10}, {"identifier": "C94", "position": [2, 5], "step": 10, "ordinal_position": 11}, {"identifier": "A07", "position": [3, 5], "step": 11, "ordinal_position": 12}, {"identifier": "L44", "position": [4, 5], "step": 12, "ordinal_position": 13}, {"identifier": "H45", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "F18", "position": [5, 4], "step": 14, "ordinal_position": 15}, {"identifier": "F68", "position": [5, 3], "step": 15, "ordinal_position": 16}, {"identifier": "A53", "position": [5, 2], "step": 16, "ordinal_position": 17}, {"identifier": "X50", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "Z31", "position": [4, 1], "step": 18, "ordinal_position": 19}, {"identifier": "G53", "position": [3, 1], "step": 19, "ordinal_position": 20}, {"identifier": "P95", "position": [2, 1], "step": 20, "ordinal_position": 21}, {"identifier": "F41", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "I87", "position": [1, 2], "step": 22, "ordinal_position": 23}, {"identifier": "S22", "position": [1, 3], "step": 23, "ordinal_position": 24}, {"identifier": "A21", "position": [1, 4], "step": 24, "ordinal_position": 25}, {"identifier": "Q71", "position": [1, 5], "step": 25, "ordinal_position": 26}, {"identifier": "C94", "position": [2, 5], "step": 26, "ordinal_position": 27}, {"identifier": "A07", "position": [3, 5], "step": 27, "ordinal_position": 28}, {"identifier": "L44", "position": [4, 5], "step": 28, "ordinal_position": 29}, {"identifier": "H45", "position": [5, 5], "step": 29, "ordinal_position": 30}, {"identifier": "F18", "position": [5, 4], "step": 30, "ordinal_position": 31}, {"identifier": "F68", "position": [5, 3], "step": 31, "ordinal_position": 32}, {"identifier": "A53", "position": [5, 2], "step": 32, "ordinal_position": 33}, {"identifier": "X50", "position": [5, 1], "step": 33, "ordinal_position": 34}, {"identifier": "Z31", "position": [4, 1], "step": 34, "ordinal_position": 35}, {"identifier": "G53", "position": [3, 1], "step": 35, "ordinal_position": 36}, {"identifier": "P95", "position": [2, 1], "step": 36, "ordinal_position": 37}, {"identifier": "F41", "position": [1, 1], "step": 37, "ordinal_position": 38}, {"identifier": "I87", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "S22", "position": [1, 3], "step": 39, "ordinal_position": 40}, {"identifier": "A21", "position": [1, 4], "step": 40, "ordinal_position": 41}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 41, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_005.json"}} {"qa_id": "f74bbe01db6244c7944fd3f61a9ca69e", "image_id": "L3-MazeLoop-test_7x7_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P95, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 80th position in this traversal?", "start_object_id": "P95", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [80], "ordinal_strings": ["80th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "G53", "traversal_path": [{"identifier": "P95", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "F41", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "I87", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "S22", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "A21", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "Q71", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "C94", "position": [2, 5], "step": 6, "ordinal_position": 7}, {"identifier": "A07", "position": [3, 5], "step": 7, "ordinal_position": 8}, {"identifier": "L44", "position": [4, 5], "step": 8, "ordinal_position": 9}, {"identifier": "H45", "position": [5, 5], "step": 9, "ordinal_position": 10}, {"identifier": "F18", "position": [5, 4], "step": 10, "ordinal_position": 11}, {"identifier": "F68", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "A53", "position": [5, 2], "step": 12, "ordinal_position": 13}, {"identifier": "X50", "position": [5, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Z31", "position": [4, 1], "step": 14, "ordinal_position": 15}, {"identifier": "G53", "position": [3, 1], "step": 15, "ordinal_position": 16}, {"identifier": "P95", "position": [2, 1], "step": 16, "ordinal_position": 17}, {"identifier": "F41", "position": [1, 1], "step": 17, "ordinal_position": 18}, {"identifier": "I87", "position": [1, 2], "step": 18, "ordinal_position": 19}, {"identifier": "S22", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "A21", "position": [1, 4], "step": 20, "ordinal_position": 21}, {"identifier": "Q71", "position": [1, 5], "step": 21, "ordinal_position": 22}, {"identifier": "C94", "position": [2, 5], "step": 22, "ordinal_position": 23}, {"identifier": "A07", "position": [3, 5], "step": 23, "ordinal_position": 24}, {"identifier": "L44", "position": [4, 5], "step": 24, "ordinal_position": 25}, {"identifier": "H45", "position": [5, 5], "step": 25, "ordinal_position": 26}, {"identifier": "F18", "position": [5, 4], "step": 26, "ordinal_position": 27}, {"identifier": "F68", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "A53", "position": [5, 2], "step": 28, "ordinal_position": 29}, {"identifier": "X50", "position": [5, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Z31", "position": [4, 1], "step": 30, "ordinal_position": 31}, {"identifier": "G53", "position": [3, 1], "step": 31, "ordinal_position": 32}, {"identifier": "P95", "position": [2, 1], "step": 32, "ordinal_position": 33}, {"identifier": "F41", "position": [1, 1], "step": 33, "ordinal_position": 34}, {"identifier": "I87", "position": [1, 2], "step": 34, "ordinal_position": 35}, {"identifier": "S22", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "A21", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "Q71", "position": [1, 5], "step": 37, "ordinal_position": 38}, {"identifier": "C94", "position": [2, 5], "step": 38, "ordinal_position": 39}, {"identifier": "A07", "position": [3, 5], "step": 39, "ordinal_position": 40}, {"identifier": "L44", "position": [4, 5], "step": 40, "ordinal_position": 41}, {"identifier": "H45", "position": [5, 5], "step": 41, "ordinal_position": 42}, {"identifier": "F18", "position": [5, 4], "step": 42, "ordinal_position": 43}, {"identifier": "F68", "position": [5, 3], "step": 43, "ordinal_position": 44}, {"identifier": "A53", "position": [5, 2], "step": 44, "ordinal_position": 45}, {"identifier": "X50", "position": [5, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Z31", "position": [4, 1], "step": 46, "ordinal_position": 47}, {"identifier": "G53", "position": [3, 1], "step": 47, "ordinal_position": 48}, {"identifier": "P95", "position": [2, 1], "step": 48, "ordinal_position": 49}, {"identifier": "F41", "position": [1, 1], "step": 49, "ordinal_position": 50}, {"identifier": "I87", "position": [1, 2], "step": 50, "ordinal_position": 51}, {"identifier": "S22", "position": [1, 3], "step": 51, "ordinal_position": 52}, {"identifier": "A21", "position": [1, 4], "step": 52, "ordinal_position": 53}, {"identifier": "Q71", "position": [1, 5], "step": 53, "ordinal_position": 54}, {"identifier": "C94", "position": [2, 5], "step": 54, "ordinal_position": 55}, {"identifier": "A07", "position": [3, 5], "step": 55, "ordinal_position": 56}, {"identifier": "L44", "position": [4, 5], "step": 56, "ordinal_position": 57}, {"identifier": "H45", "position": [5, 5], "step": 57, "ordinal_position": 58}, {"identifier": "F18", "position": [5, 4], "step": 58, "ordinal_position": 59}, {"identifier": "F68", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "A53", "position": [5, 2], "step": 60, "ordinal_position": 61}, {"identifier": "X50", "position": [5, 1], "step": 61, "ordinal_position": 62}, {"identifier": "Z31", "position": [4, 1], "step": 62, "ordinal_position": 63}, {"identifier": "G53", "position": [3, 1], "step": 63, "ordinal_position": 64}, {"identifier": "P95", "position": [2, 1], "step": 64, "ordinal_position": 65}, {"identifier": "F41", "position": [1, 1], "step": 65, "ordinal_position": 66}, {"identifier": "I87", "position": [1, 2], "step": 66, "ordinal_position": 67}, {"identifier": "S22", "position": [1, 3], "step": 67, "ordinal_position": 68}, {"identifier": "A21", "position": [1, 4], "step": 68, "ordinal_position": 69}, {"identifier": "Q71", "position": [1, 5], "step": 69, "ordinal_position": 70}, {"identifier": "C94", "position": [2, 5], "step": 70, "ordinal_position": 71}, {"identifier": "A07", "position": [3, 5], "step": 71, "ordinal_position": 72}, {"identifier": "L44", "position": [4, 5], "step": 72, "ordinal_position": 73}, {"identifier": "H45", "position": [5, 5], "step": 73, "ordinal_position": 74}, {"identifier": "F18", "position": [5, 4], "step": 74, "ordinal_position": 75}, {"identifier": "F68", "position": [5, 3], "step": 75, "ordinal_position": 76}, {"identifier": "A53", "position": [5, 2], "step": 76, "ordinal_position": 77}, {"identifier": "X50", "position": [5, 1], "step": 77, "ordinal_position": 78}, {"identifier": "Z31", "position": [4, 1], "step": 78, "ordinal_position": 79}, {"identifier": "G53", "position": [3, 1], "step": 79, "ordinal_position": 80}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 80, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_005.json"}} {"qa_id": "483d1385ee5b4c8881741fc1da96d132", "image_id": "L3-MazeLoop-test_7x7_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G53, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 97th position in this traversal?", "start_object_id": "G53", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [97], "ordinal_strings": ["97th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "G53", "traversal_path": [{"identifier": "G53", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "P95", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "F41", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "I87", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "S22", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "A21", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "Q71", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "C94", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "A07", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "L44", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "H45", "position": [5, 5], "step": 10, "ordinal_position": 11}, {"identifier": "F18", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "F68", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "A53", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "X50", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "Z31", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "G53", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "P95", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "F41", "position": [1, 1], "step": 18, "ordinal_position": 19}, {"identifier": "I87", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "S22", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "A21", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "Q71", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "C94", "position": [2, 5], "step": 23, "ordinal_position": 24}, {"identifier": "A07", "position": [3, 5], "step": 24, "ordinal_position": 25}, {"identifier": "L44", "position": [4, 5], "step": 25, "ordinal_position": 26}, {"identifier": "H45", "position": [5, 5], "step": 26, "ordinal_position": 27}, {"identifier": "F18", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "F68", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "A53", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "X50", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Z31", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "G53", "position": [3, 1], "step": 32, "ordinal_position": 33}, {"identifier": "P95", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "F41", "position": [1, 1], "step": 34, "ordinal_position": 35}, {"identifier": "I87", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "S22", "position": [1, 3], "step": 36, "ordinal_position": 37}, {"identifier": "A21", "position": [1, 4], "step": 37, "ordinal_position": 38}, {"identifier": "Q71", "position": [1, 5], "step": 38, "ordinal_position": 39}, {"identifier": "C94", "position": [2, 5], "step": 39, "ordinal_position": 40}, {"identifier": "A07", "position": [3, 5], "step": 40, "ordinal_position": 41}, {"identifier": "L44", "position": [4, 5], "step": 41, "ordinal_position": 42}, {"identifier": "H45", "position": [5, 5], "step": 42, "ordinal_position": 43}, {"identifier": "F18", "position": [5, 4], "step": 43, "ordinal_position": 44}, {"identifier": "F68", "position": [5, 3], "step": 44, "ordinal_position": 45}, {"identifier": "A53", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "X50", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Z31", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "G53", "position": [3, 1], "step": 48, "ordinal_position": 49}, {"identifier": "P95", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "F41", "position": [1, 1], "step": 50, "ordinal_position": 51}, {"identifier": "I87", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "S22", "position": [1, 3], "step": 52, "ordinal_position": 53}, {"identifier": "A21", "position": [1, 4], "step": 53, "ordinal_position": 54}, {"identifier": "Q71", "position": [1, 5], "step": 54, "ordinal_position": 55}, {"identifier": "C94", "position": [2, 5], "step": 55, "ordinal_position": 56}, {"identifier": "A07", "position": [3, 5], "step": 56, "ordinal_position": 57}, {"identifier": "L44", "position": [4, 5], "step": 57, "ordinal_position": 58}, {"identifier": "H45", "position": [5, 5], "step": 58, "ordinal_position": 59}, {"identifier": "F18", "position": [5, 4], "step": 59, "ordinal_position": 60}, {"identifier": "F68", "position": [5, 3], "step": 60, "ordinal_position": 61}, {"identifier": "A53", "position": [5, 2], "step": 61, "ordinal_position": 62}, {"identifier": "X50", "position": [5, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Z31", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "G53", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "P95", "position": [2, 1], "step": 65, "ordinal_position": 66}, {"identifier": "F41", "position": [1, 1], "step": 66, "ordinal_position": 67}, {"identifier": "I87", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "S22", "position": [1, 3], "step": 68, "ordinal_position": 69}, {"identifier": "A21", "position": [1, 4], "step": 69, "ordinal_position": 70}, {"identifier": "Q71", "position": [1, 5], "step": 70, "ordinal_position": 71}, {"identifier": "C94", "position": [2, 5], "step": 71, "ordinal_position": 72}, {"identifier": "A07", "position": [3, 5], "step": 72, "ordinal_position": 73}, {"identifier": "L44", "position": [4, 5], "step": 73, "ordinal_position": 74}, {"identifier": "H45", "position": [5, 5], "step": 74, "ordinal_position": 75}, {"identifier": "F18", "position": [5, 4], "step": 75, "ordinal_position": 76}, {"identifier": "F68", "position": [5, 3], "step": 76, "ordinal_position": 77}, {"identifier": "A53", "position": [5, 2], "step": 77, "ordinal_position": 78}, {"identifier": "X50", "position": [5, 1], "step": 78, "ordinal_position": 79}, {"identifier": "Z31", "position": [4, 1], "step": 79, "ordinal_position": 80}, {"identifier": "G53", "position": [3, 1], "step": 80, "ordinal_position": 81}, {"identifier": "P95", "position": [2, 1], "step": 81, "ordinal_position": 82}, {"identifier": "F41", "position": [1, 1], "step": 82, "ordinal_position": 83}, {"identifier": "I87", "position": [1, 2], "step": 83, "ordinal_position": 84}, {"identifier": "S22", "position": [1, 3], "step": 84, "ordinal_position": 85}, {"identifier": "A21", "position": [1, 4], "step": 85, "ordinal_position": 86}, {"identifier": "Q71", "position": [1, 5], "step": 86, "ordinal_position": 87}, {"identifier": "C94", "position": [2, 5], "step": 87, "ordinal_position": 88}, {"identifier": "A07", "position": [3, 5], "step": 88, "ordinal_position": 89}, {"identifier": "L44", "position": [4, 5], "step": 89, "ordinal_position": 90}, {"identifier": "H45", "position": [5, 5], "step": 90, "ordinal_position": 91}, {"identifier": "F18", "position": [5, 4], "step": 91, "ordinal_position": 92}, {"identifier": "F68", "position": [5, 3], "step": 92, "ordinal_position": 93}, {"identifier": "A53", "position": [5, 2], "step": 93, "ordinal_position": 94}, {"identifier": "X50", "position": [5, 1], "step": 94, "ordinal_position": 95}, {"identifier": "Z31", "position": [4, 1], "step": 95, "ordinal_position": 96}, {"identifier": "G53", "position": [3, 1], "step": 96, "ordinal_position": 97}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 97, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_005.json"}} {"qa_id": "4f4289049cd74e08b22822a9ec5c12af", "image_id": "L3-MazeLoop-test_7x7_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A07, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 112th position in this traversal?", "start_object_id": "A07", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [112], "ordinal_strings": ["112th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "C94", "traversal_path": [{"identifier": "A07", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "L44", "position": [4, 5], "step": 1, "ordinal_position": 2}, {"identifier": "H45", "position": [5, 5], "step": 2, "ordinal_position": 3}, {"identifier": "F18", "position": [5, 4], "step": 3, "ordinal_position": 4}, {"identifier": "F68", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "A53", "position": [5, 2], "step": 5, "ordinal_position": 6}, {"identifier": "X50", "position": [5, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Z31", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "G53", "position": [3, 1], "step": 8, "ordinal_position": 9}, {"identifier": "P95", "position": [2, 1], "step": 9, "ordinal_position": 10}, {"identifier": "F41", "position": [1, 1], "step": 10, "ordinal_position": 11}, {"identifier": "I87", "position": [1, 2], "step": 11, "ordinal_position": 12}, {"identifier": "S22", "position": [1, 3], "step": 12, "ordinal_position": 13}, {"identifier": "A21", "position": [1, 4], "step": 13, "ordinal_position": 14}, {"identifier": "Q71", "position": [1, 5], "step": 14, "ordinal_position": 15}, {"identifier": "C94", "position": [2, 5], "step": 15, "ordinal_position": 16}, {"identifier": "A07", "position": [3, 5], "step": 16, "ordinal_position": 17}, {"identifier": "L44", "position": [4, 5], "step": 17, "ordinal_position": 18}, {"identifier": "H45", "position": [5, 5], "step": 18, "ordinal_position": 19}, {"identifier": "F18", "position": [5, 4], "step": 19, "ordinal_position": 20}, {"identifier": "F68", "position": [5, 3], "step": 20, "ordinal_position": 21}, {"identifier": "A53", "position": [5, 2], "step": 21, "ordinal_position": 22}, {"identifier": "X50", "position": [5, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Z31", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "G53", "position": [3, 1], "step": 24, "ordinal_position": 25}, {"identifier": "P95", "position": [2, 1], "step": 25, "ordinal_position": 26}, {"identifier": "F41", "position": [1, 1], "step": 26, "ordinal_position": 27}, {"identifier": "I87", "position": [1, 2], "step": 27, "ordinal_position": 28}, {"identifier": "S22", "position": [1, 3], "step": 28, "ordinal_position": 29}, {"identifier": "A21", "position": [1, 4], "step": 29, "ordinal_position": 30}, {"identifier": "Q71", "position": [1, 5], "step": 30, "ordinal_position": 31}, {"identifier": "C94", "position": [2, 5], "step": 31, "ordinal_position": 32}, {"identifier": "A07", "position": [3, 5], "step": 32, "ordinal_position": 33}, {"identifier": "L44", "position": [4, 5], "step": 33, "ordinal_position": 34}, {"identifier": "H45", "position": [5, 5], "step": 34, "ordinal_position": 35}, {"identifier": "F18", "position": [5, 4], "step": 35, "ordinal_position": 36}, {"identifier": "F68", "position": [5, 3], "step": 36, "ordinal_position": 37}, {"identifier": "A53", "position": [5, 2], "step": 37, "ordinal_position": 38}, {"identifier": "X50", "position": [5, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Z31", "position": [4, 1], "step": 39, "ordinal_position": 40}, {"identifier": "G53", "position": [3, 1], "step": 40, "ordinal_position": 41}, {"identifier": "P95", "position": [2, 1], "step": 41, "ordinal_position": 42}, {"identifier": "F41", "position": [1, 1], "step": 42, "ordinal_position": 43}, {"identifier": "I87", "position": [1, 2], "step": 43, "ordinal_position": 44}, {"identifier": "S22", "position": [1, 3], "step": 44, "ordinal_position": 45}, {"identifier": "A21", "position": [1, 4], "step": 45, "ordinal_position": 46}, {"identifier": "Q71", "position": [1, 5], "step": 46, "ordinal_position": 47}, {"identifier": "C94", "position": [2, 5], "step": 47, "ordinal_position": 48}, {"identifier": "A07", "position": [3, 5], "step": 48, "ordinal_position": 49}, {"identifier": "L44", "position": [4, 5], "step": 49, "ordinal_position": 50}, {"identifier": "H45", "position": [5, 5], "step": 50, "ordinal_position": 51}, {"identifier": "F18", "position": [5, 4], "step": 51, "ordinal_position": 52}, {"identifier": "F68", "position": [5, 3], "step": 52, "ordinal_position": 53}, {"identifier": "A53", "position": [5, 2], "step": 53, "ordinal_position": 54}, {"identifier": "X50", "position": [5, 1], "step": 54, "ordinal_position": 55}, {"identifier": "Z31", "position": [4, 1], "step": 55, "ordinal_position": 56}, {"identifier": "G53", "position": [3, 1], "step": 56, "ordinal_position": 57}, {"identifier": "P95", "position": [2, 1], "step": 57, "ordinal_position": 58}, {"identifier": "F41", "position": [1, 1], "step": 58, "ordinal_position": 59}, {"identifier": "I87", "position": [1, 2], "step": 59, "ordinal_position": 60}, {"identifier": "S22", "position": [1, 3], "step": 60, "ordinal_position": 61}, {"identifier": "A21", "position": [1, 4], "step": 61, "ordinal_position": 62}, {"identifier": "Q71", "position": [1, 5], "step": 62, "ordinal_position": 63}, {"identifier": "C94", "position": [2, 5], "step": 63, "ordinal_position": 64}, {"identifier": "A07", "position": [3, 5], "step": 64, "ordinal_position": 65}, {"identifier": "L44", "position": [4, 5], "step": 65, "ordinal_position": 66}, {"identifier": "H45", "position": [5, 5], "step": 66, "ordinal_position": 67}, {"identifier": "F18", "position": [5, 4], "step": 67, "ordinal_position": 68}, {"identifier": "F68", "position": [5, 3], "step": 68, "ordinal_position": 69}, {"identifier": "A53", "position": [5, 2], "step": 69, "ordinal_position": 70}, {"identifier": "X50", "position": [5, 1], "step": 70, "ordinal_position": 71}, {"identifier": "Z31", "position": [4, 1], "step": 71, "ordinal_position": 72}, {"identifier": "G53", "position": [3, 1], "step": 72, "ordinal_position": 73}, {"identifier": "P95", "position": [2, 1], "step": 73, "ordinal_position": 74}, {"identifier": "F41", "position": [1, 1], "step": 74, "ordinal_position": 75}, {"identifier": "I87", "position": [1, 2], "step": 75, "ordinal_position": 76}, {"identifier": "S22", "position": [1, 3], "step": 76, "ordinal_position": 77}, {"identifier": "A21", "position": [1, 4], "step": 77, "ordinal_position": 78}, {"identifier": "Q71", "position": [1, 5], "step": 78, "ordinal_position": 79}, {"identifier": "C94", "position": [2, 5], "step": 79, "ordinal_position": 80}, {"identifier": "A07", "position": [3, 5], "step": 80, "ordinal_position": 81}, {"identifier": "L44", "position": [4, 5], "step": 81, "ordinal_position": 82}, {"identifier": "H45", "position": [5, 5], "step": 82, "ordinal_position": 83}, {"identifier": "F18", "position": [5, 4], "step": 83, "ordinal_position": 84}, {"identifier": "F68", "position": [5, 3], "step": 84, "ordinal_position": 85}, {"identifier": "A53", "position": [5, 2], "step": 85, "ordinal_position": 86}, {"identifier": "X50", "position": [5, 1], "step": 86, "ordinal_position": 87}, {"identifier": "Z31", "position": [4, 1], "step": 87, "ordinal_position": 88}, {"identifier": "G53", "position": [3, 1], "step": 88, "ordinal_position": 89}, {"identifier": "P95", "position": [2, 1], "step": 89, "ordinal_position": 90}, {"identifier": "F41", "position": [1, 1], "step": 90, "ordinal_position": 91}, {"identifier": "I87", "position": [1, 2], "step": 91, "ordinal_position": 92}, {"identifier": "S22", "position": [1, 3], "step": 92, "ordinal_position": 93}, {"identifier": "A21", "position": [1, 4], "step": 93, "ordinal_position": 94}, {"identifier": "Q71", "position": [1, 5], "step": 94, "ordinal_position": 95}, {"identifier": "C94", "position": [2, 5], "step": 95, "ordinal_position": 96}, {"identifier": "A07", "position": [3, 5], "step": 96, "ordinal_position": 97}, {"identifier": "L44", "position": [4, 5], "step": 97, "ordinal_position": 98}, {"identifier": "H45", "position": [5, 5], "step": 98, "ordinal_position": 99}, {"identifier": "F18", "position": [5, 4], "step": 99, "ordinal_position": 100}, {"identifier": "F68", "position": [5, 3], "step": 100, "ordinal_position": 101}, {"identifier": "A53", "position": [5, 2], "step": 101, "ordinal_position": 102}, {"identifier": "X50", "position": [5, 1], "step": 102, "ordinal_position": 103}, {"identifier": "Z31", "position": [4, 1], "step": 103, "ordinal_position": 104}, {"identifier": "G53", "position": [3, 1], "step": 104, "ordinal_position": 105}, {"identifier": "P95", "position": [2, 1], "step": 105, "ordinal_position": 106}, {"identifier": "F41", "position": [1, 1], "step": 106, "ordinal_position": 107}, {"identifier": "I87", "position": [1, 2], "step": 107, "ordinal_position": 108}, {"identifier": "S22", "position": [1, 3], "step": 108, "ordinal_position": 109}, {"identifier": "A21", "position": [1, 4], "step": 109, "ordinal_position": 110}, {"identifier": "Q71", "position": [1, 5], "step": 110, "ordinal_position": 111}, {"identifier": "C94", "position": [2, 5], "step": 111, "ordinal_position": 112}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 112, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_005.json"}} {"qa_id": "b8971511441d43d9961f7793460b19cf", "image_id": "L3-MazeLoop-test_7x7_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G53, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 139th position in this traversal?", "start_object_id": "G53", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [139], "ordinal_strings": ["139th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "H45", "traversal_path": [{"identifier": "G53", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "P95", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "F41", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "I87", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "S22", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "A21", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "Q71", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "C94", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "A07", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "L44", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "H45", "position": [5, 5], "step": 10, "ordinal_position": 11}, {"identifier": "F18", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "F68", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "A53", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "X50", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "Z31", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "G53", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "P95", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "F41", "position": [1, 1], "step": 18, "ordinal_position": 19}, {"identifier": "I87", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "S22", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "A21", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "Q71", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "C94", "position": [2, 5], "step": 23, "ordinal_position": 24}, {"identifier": "A07", "position": [3, 5], "step": 24, "ordinal_position": 25}, {"identifier": "L44", "position": [4, 5], "step": 25, "ordinal_position": 26}, {"identifier": "H45", "position": [5, 5], "step": 26, "ordinal_position": 27}, {"identifier": "F18", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "F68", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "A53", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "X50", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Z31", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "G53", "position": [3, 1], "step": 32, "ordinal_position": 33}, {"identifier": "P95", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "F41", "position": [1, 1], "step": 34, "ordinal_position": 35}, {"identifier": "I87", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "S22", "position": [1, 3], "step": 36, "ordinal_position": 37}, {"identifier": "A21", "position": [1, 4], "step": 37, "ordinal_position": 38}, {"identifier": "Q71", "position": [1, 5], "step": 38, "ordinal_position": 39}, {"identifier": "C94", "position": [2, 5], "step": 39, "ordinal_position": 40}, {"identifier": "A07", "position": [3, 5], "step": 40, "ordinal_position": 41}, {"identifier": "L44", "position": [4, 5], "step": 41, "ordinal_position": 42}, {"identifier": "H45", "position": [5, 5], "step": 42, "ordinal_position": 43}, {"identifier": "F18", "position": [5, 4], "step": 43, "ordinal_position": 44}, {"identifier": "F68", "position": [5, 3], "step": 44, "ordinal_position": 45}, {"identifier": "A53", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "X50", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Z31", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "G53", "position": [3, 1], "step": 48, "ordinal_position": 49}, {"identifier": "P95", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "F41", "position": [1, 1], "step": 50, "ordinal_position": 51}, {"identifier": "I87", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "S22", "position": [1, 3], "step": 52, "ordinal_position": 53}, {"identifier": "A21", "position": [1, 4], "step": 53, "ordinal_position": 54}, {"identifier": "Q71", "position": [1, 5], "step": 54, "ordinal_position": 55}, {"identifier": "C94", "position": [2, 5], "step": 55, "ordinal_position": 56}, {"identifier": "A07", "position": [3, 5], "step": 56, "ordinal_position": 57}, {"identifier": "L44", "position": [4, 5], "step": 57, "ordinal_position": 58}, {"identifier": "H45", "position": [5, 5], "step": 58, "ordinal_position": 59}, {"identifier": "F18", "position": [5, 4], "step": 59, "ordinal_position": 60}, {"identifier": "F68", "position": [5, 3], "step": 60, "ordinal_position": 61}, {"identifier": "A53", "position": [5, 2], "step": 61, "ordinal_position": 62}, {"identifier": "X50", "position": [5, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Z31", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "G53", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "P95", "position": [2, 1], "step": 65, "ordinal_position": 66}, {"identifier": "F41", "position": [1, 1], "step": 66, "ordinal_position": 67}, {"identifier": "I87", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "S22", "position": [1, 3], "step": 68, "ordinal_position": 69}, {"identifier": "A21", "position": [1, 4], "step": 69, "ordinal_position": 70}, {"identifier": "Q71", "position": [1, 5], "step": 70, "ordinal_position": 71}, {"identifier": "C94", "position": [2, 5], "step": 71, "ordinal_position": 72}, {"identifier": "A07", "position": [3, 5], "step": 72, "ordinal_position": 73}, {"identifier": "L44", "position": [4, 5], "step": 73, "ordinal_position": 74}, {"identifier": "H45", "position": [5, 5], "step": 74, "ordinal_position": 75}, {"identifier": "F18", "position": [5, 4], "step": 75, "ordinal_position": 76}, {"identifier": "F68", "position": [5, 3], "step": 76, "ordinal_position": 77}, {"identifier": "A53", "position": [5, 2], "step": 77, "ordinal_position": 78}, {"identifier": "X50", "position": [5, 1], "step": 78, "ordinal_position": 79}, {"identifier": "Z31", "position": [4, 1], "step": 79, "ordinal_position": 80}, {"identifier": "G53", "position": [3, 1], "step": 80, "ordinal_position": 81}, {"identifier": "P95", "position": [2, 1], "step": 81, "ordinal_position": 82}, {"identifier": "F41", "position": [1, 1], "step": 82, "ordinal_position": 83}, {"identifier": "I87", "position": [1, 2], "step": 83, "ordinal_position": 84}, {"identifier": "S22", "position": [1, 3], "step": 84, "ordinal_position": 85}, {"identifier": "A21", "position": [1, 4], "step": 85, "ordinal_position": 86}, {"identifier": "Q71", "position": [1, 5], "step": 86, "ordinal_position": 87}, {"identifier": "C94", "position": [2, 5], "step": 87, "ordinal_position": 88}, {"identifier": "A07", "position": [3, 5], "step": 88, "ordinal_position": 89}, {"identifier": "L44", "position": [4, 5], "step": 89, "ordinal_position": 90}, {"identifier": "H45", "position": [5, 5], "step": 90, "ordinal_position": 91}, {"identifier": "F18", "position": [5, 4], "step": 91, "ordinal_position": 92}, {"identifier": "F68", "position": [5, 3], "step": 92, "ordinal_position": 93}, {"identifier": "A53", "position": [5, 2], "step": 93, "ordinal_position": 94}, {"identifier": "X50", "position": [5, 1], "step": 94, "ordinal_position": 95}, {"identifier": "Z31", "position": [4, 1], "step": 95, "ordinal_position": 96}, {"identifier": "G53", "position": [3, 1], "step": 96, "ordinal_position": 97}, {"identifier": "P95", "position": [2, 1], "step": 97, "ordinal_position": 98}, {"identifier": "F41", "position": [1, 1], "step": 98, "ordinal_position": 99}, {"identifier": "I87", "position": [1, 2], "step": 99, "ordinal_position": 100}, {"identifier": "S22", "position": [1, 3], "step": 100, "ordinal_position": 101}, {"identifier": "A21", "position": [1, 4], "step": 101, "ordinal_position": 102}, {"identifier": "Q71", "position": [1, 5], "step": 102, "ordinal_position": 103}, {"identifier": "C94", "position": [2, 5], "step": 103, "ordinal_position": 104}, {"identifier": "A07", "position": [3, 5], "step": 104, "ordinal_position": 105}, {"identifier": "L44", "position": [4, 5], "step": 105, "ordinal_position": 106}, {"identifier": "H45", "position": [5, 5], "step": 106, "ordinal_position": 107}, {"identifier": "F18", "position": [5, 4], "step": 107, "ordinal_position": 108}, {"identifier": "F68", "position": [5, 3], "step": 108, "ordinal_position": 109}, {"identifier": "A53", "position": [5, 2], "step": 109, "ordinal_position": 110}, {"identifier": "X50", "position": [5, 1], "step": 110, "ordinal_position": 111}, {"identifier": "Z31", "position": [4, 1], "step": 111, "ordinal_position": 112}, {"identifier": "G53", "position": [3, 1], "step": 112, "ordinal_position": 113}, {"identifier": "P95", "position": [2, 1], "step": 113, "ordinal_position": 114}, {"identifier": "F41", "position": [1, 1], "step": 114, "ordinal_position": 115}, {"identifier": "I87", "position": [1, 2], "step": 115, "ordinal_position": 116}, {"identifier": "S22", "position": [1, 3], "step": 116, "ordinal_position": 117}, {"identifier": "A21", "position": [1, 4], "step": 117, "ordinal_position": 118}, {"identifier": "Q71", "position": [1, 5], "step": 118, "ordinal_position": 119}, {"identifier": "C94", "position": [2, 5], "step": 119, "ordinal_position": 120}, {"identifier": "A07", "position": [3, 5], "step": 120, "ordinal_position": 121}, {"identifier": "L44", "position": [4, 5], "step": 121, "ordinal_position": 122}, {"identifier": "H45", "position": [5, 5], "step": 122, "ordinal_position": 123}, {"identifier": "F18", "position": [5, 4], "step": 123, "ordinal_position": 124}, {"identifier": "F68", "position": [5, 3], "step": 124, "ordinal_position": 125}, {"identifier": "A53", "position": [5, 2], "step": 125, "ordinal_position": 126}, {"identifier": "X50", "position": [5, 1], "step": 126, "ordinal_position": 127}, {"identifier": "Z31", "position": [4, 1], "step": 127, "ordinal_position": 128}, {"identifier": "G53", "position": [3, 1], "step": 128, "ordinal_position": 129}, {"identifier": "P95", "position": [2, 1], "step": 129, "ordinal_position": 130}, {"identifier": "F41", "position": [1, 1], "step": 130, "ordinal_position": 131}, {"identifier": "I87", "position": [1, 2], "step": 131, "ordinal_position": 132}, {"identifier": "S22", "position": [1, 3], "step": 132, "ordinal_position": 133}, {"identifier": "A21", "position": [1, 4], "step": 133, "ordinal_position": 134}, {"identifier": "Q71", "position": [1, 5], "step": 134, "ordinal_position": 135}, {"identifier": "C94", "position": [2, 5], "step": 135, "ordinal_position": 136}, {"identifier": "A07", "position": [3, 5], "step": 136, "ordinal_position": 137}, {"identifier": "L44", "position": [4, 5], "step": 137, "ordinal_position": 138}, {"identifier": "H45", "position": [5, 5], "step": 138, "ordinal_position": 139}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 139, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_005.json"}} {"qa_id": "673cc2735e104c5ca9fecb09be4db488", "image_id": "L3-MazeLoop-test_7x7_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C94, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 287th position in this traversal?", "start_object_id": "C94", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [287], "ordinal_strings": ["287th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "L44", "traversal_path": [{"identifier": "C94", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "Q71", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "A21", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "S22", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "I87", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "F41", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "P95", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "G53", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "Z31", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "X50", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "A53", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "F68", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "F18", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "H45", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "L44", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "A07", "position": [3, 5], "step": 15, "ordinal_position": 16}, {"identifier": "C94", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "Q71", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "A21", "position": [1, 4], "step": 18, "ordinal_position": 19}, {"identifier": "S22", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "I87", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "F41", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "P95", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "G53", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "Z31", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "X50", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "A53", "position": [5, 2], "step": 26, "ordinal_position": 27}, {"identifier": "F68", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "F18", "position": [5, 4], "step": 28, "ordinal_position": 29}, {"identifier": "H45", "position": [5, 5], "step": 29, "ordinal_position": 30}, {"identifier": "L44", "position": [4, 5], "step": 30, "ordinal_position": 31}, {"identifier": "A07", "position": [3, 5], "step": 31, "ordinal_position": 32}, {"identifier": "C94", "position": [2, 5], "step": 32, "ordinal_position": 33}, {"identifier": "Q71", "position": [1, 5], "step": 33, "ordinal_position": 34}, {"identifier": "A21", "position": [1, 4], "step": 34, "ordinal_position": 35}, {"identifier": "S22", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "I87", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "F41", "position": [1, 1], "step": 37, "ordinal_position": 38}, {"identifier": "P95", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "G53", "position": [3, 1], "step": 39, "ordinal_position": 40}, {"identifier": "Z31", "position": [4, 1], "step": 40, "ordinal_position": 41}, {"identifier": "X50", "position": [5, 1], "step": 41, "ordinal_position": 42}, {"identifier": "A53", "position": [5, 2], "step": 42, "ordinal_position": 43}, {"identifier": "F68", "position": [5, 3], "step": 43, "ordinal_position": 44}, {"identifier": "F18", "position": [5, 4], "step": 44, "ordinal_position": 45}, {"identifier": "H45", "position": [5, 5], "step": 45, "ordinal_position": 46}, {"identifier": "L44", "position": [4, 5], "step": 46, "ordinal_position": 47}, {"identifier": "A07", "position": [3, 5], "step": 47, "ordinal_position": 48}, {"identifier": "C94", "position": [2, 5], "step": 48, "ordinal_position": 49}, {"identifier": "Q71", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "A21", "position": [1, 4], "step": 50, "ordinal_position": 51}, {"identifier": "S22", "position": [1, 3], "step": 51, "ordinal_position": 52}, {"identifier": "I87", "position": [1, 2], "step": 52, "ordinal_position": 53}, {"identifier": "F41", "position": [1, 1], "step": 53, "ordinal_position": 54}, {"identifier": "P95", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "G53", "position": [3, 1], "step": 55, "ordinal_position": 56}, {"identifier": "Z31", "position": [4, 1], "step": 56, "ordinal_position": 57}, {"identifier": "X50", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "A53", "position": [5, 2], "step": 58, "ordinal_position": 59}, {"identifier": "F68", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "F18", "position": [5, 4], "step": 60, "ordinal_position": 61}, {"identifier": "H45", "position": [5, 5], "step": 61, "ordinal_position": 62}, {"identifier": "L44", "position": [4, 5], "step": 62, "ordinal_position": 63}, {"identifier": "A07", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "C94", "position": [2, 5], "step": 64, "ordinal_position": 65}, {"identifier": "Q71", "position": [1, 5], "step": 65, "ordinal_position": 66}, {"identifier": "A21", "position": [1, 4], "step": 66, "ordinal_position": 67}, {"identifier": "S22", "position": [1, 3], "step": 67, "ordinal_position": 68}, {"identifier": "I87", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "F41", "position": [1, 1], "step": 69, "ordinal_position": 70}, {"identifier": "P95", "position": [2, 1], "step": 70, "ordinal_position": 71}, {"identifier": "G53", "position": [3, 1], "step": 71, "ordinal_position": 72}, {"identifier": "Z31", "position": [4, 1], "step": 72, "ordinal_position": 73}, {"identifier": "X50", "position": [5, 1], "step": 73, "ordinal_position": 74}, {"identifier": "A53", "position": [5, 2], "step": 74, "ordinal_position": 75}, {"identifier": "F68", "position": [5, 3], "step": 75, "ordinal_position": 76}, {"identifier": "F18", "position": [5, 4], "step": 76, "ordinal_position": 77}, {"identifier": "H45", "position": [5, 5], "step": 77, "ordinal_position": 78}, {"identifier": "L44", "position": [4, 5], "step": 78, "ordinal_position": 79}, {"identifier": "A07", "position": [3, 5], "step": 79, "ordinal_position": 80}, {"identifier": "C94", "position": [2, 5], "step": 80, "ordinal_position": 81}, {"identifier": "Q71", "position": [1, 5], "step": 81, "ordinal_position": 82}, {"identifier": "A21", "position": [1, 4], "step": 82, "ordinal_position": 83}, {"identifier": "S22", "position": [1, 3], "step": 83, "ordinal_position": 84}, {"identifier": "I87", "position": [1, 2], "step": 84, "ordinal_position": 85}, {"identifier": "F41", "position": [1, 1], "step": 85, "ordinal_position": 86}, {"identifier": "P95", "position": [2, 1], "step": 86, "ordinal_position": 87}, {"identifier": "G53", "position": [3, 1], "step": 87, "ordinal_position": 88}, {"identifier": "Z31", "position": [4, 1], "step": 88, "ordinal_position": 89}, {"identifier": "X50", "position": [5, 1], "step": 89, "ordinal_position": 90}, {"identifier": "A53", "position": [5, 2], "step": 90, "ordinal_position": 91}, {"identifier": "F68", "position": [5, 3], "step": 91, "ordinal_position": 92}, {"identifier": "F18", "position": [5, 4], "step": 92, "ordinal_position": 93}, {"identifier": "H45", "position": [5, 5], "step": 93, "ordinal_position": 94}, {"identifier": "L44", "position": [4, 5], "step": 94, "ordinal_position": 95}, {"identifier": "A07", "position": [3, 5], "step": 95, "ordinal_position": 96}, {"identifier": "C94", "position": [2, 5], "step": 96, "ordinal_position": 97}, {"identifier": "Q71", "position": [1, 5], "step": 97, "ordinal_position": 98}, {"identifier": "A21", "position": [1, 4], "step": 98, "ordinal_position": 99}, {"identifier": "S22", "position": [1, 3], "step": 99, "ordinal_position": 100}, {"identifier": "I87", "position": [1, 2], "step": 100, "ordinal_position": 101}, {"identifier": "F41", "position": [1, 1], "step": 101, "ordinal_position": 102}, {"identifier": "P95", "position": [2, 1], "step": 102, "ordinal_position": 103}, {"identifier": "G53", "position": [3, 1], "step": 103, "ordinal_position": 104}, {"identifier": "Z31", "position": [4, 1], "step": 104, "ordinal_position": 105}, {"identifier": "X50", "position": [5, 1], "step": 105, "ordinal_position": 106}, {"identifier": "A53", "position": [5, 2], "step": 106, "ordinal_position": 107}, {"identifier": "F68", "position": [5, 3], "step": 107, "ordinal_position": 108}, {"identifier": "F18", "position": [5, 4], "step": 108, "ordinal_position": 109}, {"identifier": "H45", "position": [5, 5], "step": 109, "ordinal_position": 110}, {"identifier": "L44", "position": [4, 5], "step": 110, "ordinal_position": 111}, {"identifier": "A07", "position": [3, 5], "step": 111, "ordinal_position": 112}, {"identifier": "C94", "position": [2, 5], "step": 112, "ordinal_position": 113}, {"identifier": "Q71", "position": [1, 5], "step": 113, "ordinal_position": 114}, {"identifier": "A21", "position": [1, 4], "step": 114, "ordinal_position": 115}, {"identifier": "S22", "position": [1, 3], "step": 115, "ordinal_position": 116}, {"identifier": "I87", "position": [1, 2], "step": 116, "ordinal_position": 117}, {"identifier": "F41", "position": [1, 1], "step": 117, "ordinal_position": 118}, {"identifier": "P95", "position": [2, 1], "step": 118, "ordinal_position": 119}, {"identifier": "G53", "position": [3, 1], "step": 119, "ordinal_position": 120}, {"identifier": "Z31", "position": [4, 1], "step": 120, "ordinal_position": 121}, {"identifier": "X50", "position": [5, 1], "step": 121, "ordinal_position": 122}, {"identifier": "A53", "position": [5, 2], "step": 122, "ordinal_position": 123}, {"identifier": "F68", "position": [5, 3], "step": 123, "ordinal_position": 124}, {"identifier": "F18", "position": [5, 4], "step": 124, "ordinal_position": 125}, {"identifier": "H45", "position": [5, 5], "step": 125, "ordinal_position": 126}, {"identifier": "L44", "position": [4, 5], "step": 126, "ordinal_position": 127}, {"identifier": "A07", "position": [3, 5], "step": 127, "ordinal_position": 128}, {"identifier": "C94", "position": [2, 5], "step": 128, "ordinal_position": 129}, {"identifier": "Q71", "position": [1, 5], "step": 129, "ordinal_position": 130}, {"identifier": "A21", "position": [1, 4], "step": 130, "ordinal_position": 131}, {"identifier": "S22", "position": [1, 3], "step": 131, "ordinal_position": 132}, {"identifier": "I87", "position": [1, 2], "step": 132, "ordinal_position": 133}, {"identifier": "F41", "position": [1, 1], "step": 133, "ordinal_position": 134}, {"identifier": "P95", "position": [2, 1], "step": 134, "ordinal_position": 135}, {"identifier": "G53", "position": [3, 1], "step": 135, "ordinal_position": 136}, {"identifier": "Z31", "position": [4, 1], "step": 136, "ordinal_position": 137}, {"identifier": "X50", "position": [5, 1], "step": 137, "ordinal_position": 138}, {"identifier": "A53", "position": [5, 2], "step": 138, "ordinal_position": 139}, {"identifier": "F68", "position": [5, 3], "step": 139, "ordinal_position": 140}, {"identifier": "F18", "position": [5, 4], "step": 140, "ordinal_position": 141}, {"identifier": "H45", "position": [5, 5], "step": 141, "ordinal_position": 142}, {"identifier": "L44", "position": [4, 5], "step": 142, "ordinal_position": 143}, {"identifier": "A07", "position": [3, 5], "step": 143, "ordinal_position": 144}, {"identifier": "C94", "position": [2, 5], "step": 144, "ordinal_position": 145}, {"identifier": "Q71", "position": [1, 5], "step": 145, "ordinal_position": 146}, {"identifier": "A21", "position": [1, 4], "step": 146, "ordinal_position": 147}, {"identifier": "S22", "position": [1, 3], "step": 147, "ordinal_position": 148}, {"identifier": "I87", "position": [1, 2], "step": 148, "ordinal_position": 149}, {"identifier": "F41", "position": [1, 1], "step": 149, "ordinal_position": 150}, {"identifier": "P95", "position": [2, 1], "step": 150, "ordinal_position": 151}, {"identifier": "G53", "position": [3, 1], "step": 151, "ordinal_position": 152}, {"identifier": "Z31", "position": [4, 1], "step": 152, "ordinal_position": 153}, {"identifier": "X50", "position": [5, 1], "step": 153, "ordinal_position": 154}, {"identifier": "A53", "position": [5, 2], "step": 154, "ordinal_position": 155}, {"identifier": "F68", "position": [5, 3], "step": 155, "ordinal_position": 156}, {"identifier": "F18", "position": [5, 4], "step": 156, "ordinal_position": 157}, {"identifier": "H45", "position": [5, 5], "step": 157, "ordinal_position": 158}, {"identifier": "L44", "position": [4, 5], "step": 158, "ordinal_position": 159}, {"identifier": "A07", "position": [3, 5], "step": 159, "ordinal_position": 160}, {"identifier": "C94", "position": [2, 5], "step": 160, "ordinal_position": 161}, {"identifier": "Q71", "position": [1, 5], "step": 161, "ordinal_position": 162}, {"identifier": "A21", "position": [1, 4], "step": 162, "ordinal_position": 163}, {"identifier": "S22", "position": [1, 3], "step": 163, "ordinal_position": 164}, {"identifier": "I87", "position": [1, 2], "step": 164, "ordinal_position": 165}, {"identifier": "F41", "position": [1, 1], "step": 165, "ordinal_position": 166}, {"identifier": "P95", "position": [2, 1], "step": 166, "ordinal_position": 167}, {"identifier": "G53", "position": [3, 1], "step": 167, "ordinal_position": 168}, {"identifier": "Z31", "position": [4, 1], "step": 168, "ordinal_position": 169}, {"identifier": "X50", "position": [5, 1], "step": 169, "ordinal_position": 170}, {"identifier": "A53", "position": [5, 2], "step": 170, "ordinal_position": 171}, {"identifier": "F68", "position": [5, 3], "step": 171, "ordinal_position": 172}, {"identifier": "F18", 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184, "ordinal_position": 185}, {"identifier": "X50", "position": [5, 1], "step": 185, "ordinal_position": 186}, {"identifier": "A53", "position": [5, 2], "step": 186, "ordinal_position": 187}, {"identifier": "F68", "position": [5, 3], "step": 187, "ordinal_position": 188}, {"identifier": "F18", "position": [5, 4], "step": 188, "ordinal_position": 189}, {"identifier": "H45", "position": [5, 5], "step": 189, "ordinal_position": 190}, {"identifier": "L44", "position": [4, 5], "step": 190, "ordinal_position": 191}, {"identifier": "A07", "position": [3, 5], "step": 191, "ordinal_position": 192}, {"identifier": "C94", "position": [2, 5], "step": 192, "ordinal_position": 193}, {"identifier": "Q71", "position": [1, 5], "step": 193, "ordinal_position": 194}, {"identifier": "A21", "position": [1, 4], "step": 194, "ordinal_position": 195}, {"identifier": "S22", "position": [1, 3], "step": 195, "ordinal_position": 196}, {"identifier": "I87", "position": [1, 2], "step": 196, "ordinal_position": 197}, {"identifier": "F41", "position": [1, 1], "step": 197, "ordinal_position": 198}, {"identifier": "P95", "position": [2, 1], "step": 198, "ordinal_position": 199}, {"identifier": "G53", "position": [3, 1], "step": 199, "ordinal_position": 200}, {"identifier": "Z31", "position": [4, 1], "step": 200, "ordinal_position": 201}, {"identifier": "X50", "position": [5, 1], "step": 201, "ordinal_position": 202}, {"identifier": "A53", "position": [5, 2], "step": 202, "ordinal_position": 203}, {"identifier": "F68", "position": [5, 3], "step": 203, "ordinal_position": 204}, {"identifier": "F18", "position": [5, 4], "step": 204, "ordinal_position": 205}, {"identifier": "H45", "position": [5, 5], "step": 205, "ordinal_position": 206}, {"identifier": "L44", "position": [4, 5], "step": 206, "ordinal_position": 207}, {"identifier": "A07", "position": [3, 5], "step": 207, "ordinal_position": 208}, {"identifier": "C94", "position": [2, 5], "step": 208, "ordinal_position": 209}, {"identifier": "Q71", "position": [1, 5], "step": 209, "ordinal_position": 210}, {"identifier": "A21", "position": [1, 4], "step": 210, "ordinal_position": 211}, {"identifier": "S22", "position": [1, 3], "step": 211, "ordinal_position": 212}, {"identifier": "I87", "position": [1, 2], "step": 212, "ordinal_position": 213}, {"identifier": "F41", "position": [1, 1], "step": 213, "ordinal_position": 214}, {"identifier": "P95", "position": [2, 1], "step": 214, "ordinal_position": 215}, {"identifier": "G53", "position": [3, 1], "step": 215, "ordinal_position": 216}, {"identifier": "Z31", "position": [4, 1], "step": 216, "ordinal_position": 217}, {"identifier": "X50", "position": [5, 1], "step": 217, "ordinal_position": 218}, {"identifier": "A53", "position": [5, 2], "step": 218, "ordinal_position": 219}, {"identifier": "F68", "position": [5, 3], "step": 219, "ordinal_position": 220}, {"identifier": "F18", "position": [5, 4], "step": 220, "ordinal_position": 221}, {"identifier": "H45", "position": [5, 5], "step": 221, "ordinal_position": 222}, {"identifier": "L44", "position": [4, 5], "step": 222, "ordinal_position": 223}, {"identifier": "A07", "position": [3, 5], "step": 223, "ordinal_position": 224}, {"identifier": "C94", "position": [2, 5], "step": 224, "ordinal_position": 225}, {"identifier": "Q71", "position": [1, 5], "step": 225, "ordinal_position": 226}, {"identifier": "A21", "position": [1, 4], "step": 226, "ordinal_position": 227}, {"identifier": "S22", "position": [1, 3], "step": 227, "ordinal_position": 228}, {"identifier": "I87", "position": [1, 2], "step": 228, "ordinal_position": 229}, {"identifier": "F41", "position": [1, 1], "step": 229, "ordinal_position": 230}, {"identifier": "P95", "position": [2, 1], "step": 230, "ordinal_position": 231}, {"identifier": "G53", "position": [3, 1], "step": 231, "ordinal_position": 232}, {"identifier": "Z31", "position": [4, 1], "step": 232, "ordinal_position": 233}, {"identifier": "X50", "position": [5, 1], "step": 233, "ordinal_position": 234}, {"identifier": "A53", "position": [5, 2], "step": 234, "ordinal_position": 235}, {"identifier": "F68", "position": [5, 3], "step": 235, "ordinal_position": 236}, {"identifier": "F18", "position": [5, 4], "step": 236, "ordinal_position": 237}, {"identifier": "H45", "position": [5, 5], "step": 237, "ordinal_position": 238}, {"identifier": "L44", "position": [4, 5], "step": 238, "ordinal_position": 239}, {"identifier": "A07", "position": [3, 5], "step": 239, "ordinal_position": 240}, {"identifier": "C94", "position": [2, 5], "step": 240, "ordinal_position": 241}, {"identifier": "Q71", "position": [1, 5], "step": 241, "ordinal_position": 242}, {"identifier": "A21", "position": [1, 4], "step": 242, "ordinal_position": 243}, {"identifier": "S22", "position": [1, 3], "step": 243, "ordinal_position": 244}, {"identifier": "I87", "position": [1, 2], "step": 244, "ordinal_position": 245}, {"identifier": "F41", "position": [1, 1], "step": 245, "ordinal_position": 246}, {"identifier": "P95", "position": [2, 1], "step": 246, "ordinal_position": 247}, {"identifier": "G53", "position": [3, 1], "step": 247, "ordinal_position": 248}, {"identifier": "Z31", "position": [4, 1], "step": 248, "ordinal_position": 249}, {"identifier": "X50", "position": [5, 1], "step": 249, "ordinal_position": 250}, {"identifier": "A53", "position": [5, 2], "step": 250, "ordinal_position": 251}, {"identifier": "F68", "position": [5, 3], "step": 251, "ordinal_position": 252}, {"identifier": "F18", "position": [5, 4], "step": 252, "ordinal_position": 253}, {"identifier": "H45", "position": [5, 5], "step": 253, "ordinal_position": 254}, {"identifier": "L44", "position": [4, 5], "step": 254, "ordinal_position": 255}, {"identifier": "A07", "position": [3, 5], "step": 255, "ordinal_position": 256}, {"identifier": "C94", "position": [2, 5], "step": 256, "ordinal_position": 257}, {"identifier": "Q71", "position": [1, 5], "step": 257, "ordinal_position": 258}, {"identifier": "A21", "position": [1, 4], "step": 258, "ordinal_position": 259}, {"identifier": "S22", "position": [1, 3], "step": 259, "ordinal_position": 260}, {"identifier": "I87", "position": [1, 2], "step": 260, "ordinal_position": 261}, {"identifier": "F41", "position": [1, 1], "step": 261, "ordinal_position": 262}, {"identifier": "P95", "position": [2, 1], "step": 262, "ordinal_position": 263}, {"identifier": "G53", "position": [3, 1], "step": 263, "ordinal_position": 264}, {"identifier": "Z31", "position": [4, 1], "step": 264, "ordinal_position": 265}, {"identifier": "X50", "position": [5, 1], "step": 265, "ordinal_position": 266}, {"identifier": "A53", "position": [5, 2], "step": 266, "ordinal_position": 267}, {"identifier": "F68", "position": [5, 3], "step": 267, "ordinal_position": 268}, {"identifier": "F18", "position": [5, 4], "step": 268, "ordinal_position": 269}, {"identifier": "H45", "position": [5, 5], "step": 269, "ordinal_position": 270}, {"identifier": "L44", "position": [4, 5], "step": 270, "ordinal_position": 271}, {"identifier": "A07", "position": [3, 5], "step": 271, "ordinal_position": 272}, {"identifier": "C94", "position": [2, 5], "step": 272, "ordinal_position": 273}, {"identifier": "Q71", "position": [1, 5], "step": 273, "ordinal_position": 274}, {"identifier": "A21", "position": [1, 4], "step": 274, "ordinal_position": 275}, {"identifier": "S22", "position": [1, 3], "step": 275, "ordinal_position": 276}, {"identifier": "I87", "position": [1, 2], "step": 276, "ordinal_position": 277}, {"identifier": "F41", "position": [1, 1], "step": 277, "ordinal_position": 278}, {"identifier": "P95", "position": [2, 1], "step": 278, "ordinal_position": 279}, {"identifier": "G53", "position": [3, 1], "step": 279, "ordinal_position": 280}, {"identifier": "Z31", "position": [4, 1], "step": 280, "ordinal_position": 281}, {"identifier": "X50", "position": [5, 1], "step": 281, "ordinal_position": 282}, {"identifier": "A53", "position": [5, 2], "step": 282, "ordinal_position": 283}, {"identifier": "F68", "position": [5, 3], "step": 283, "ordinal_position": 284}, {"identifier": "F18", "position": [5, 4], "step": 284, "ordinal_position": 285}, {"identifier": "H45", "position": [5, 5], "step": 285, "ordinal_position": 286}, {"identifier": "L44", "position": [4, 5], "step": 286, "ordinal_position": 287}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 287, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_005.json"}} {"qa_id": "d9ad9de589124c94900b75902cb74f74", "image_id": "L3-MazeLoop-test_7x7_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X50, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 216th position in this traversal?", "start_object_id": "X50", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [216], "ordinal_strings": ["216th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "C94", "traversal_path": [{"identifier": "X50", "position": [5, 1], "step": 0, "ordinal_position": 1}, {"identifier": "A53", "position": [5, 2], "step": 1, "ordinal_position": 2}, {"identifier": "F68", "position": [5, 3], "step": 2, "ordinal_position": 3}, {"identifier": "F18", "position": [5, 4], "step": 3, "ordinal_position": 4}, {"identifier": "H45", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "L44", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "A07", "position": [3, 5], "step": 6, "ordinal_position": 7}, {"identifier": "C94", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "Q71", "position": [1, 5], "step": 8, "ordinal_position": 9}, {"identifier": "A21", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "S22", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "I87", "position": [1, 2], "step": 11, "ordinal_position": 12}, {"identifier": "F41", "position": [1, 1], "step": 12, "ordinal_position": 13}, {"identifier": "P95", "position": [2, 1], "step": 13, "ordinal_position": 14}, {"identifier": "G53", "position": [3, 1], "step": 14, "ordinal_position": 15}, {"identifier": "Z31", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "X50", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "A53", "position": [5, 2], "step": 17, "ordinal_position": 18}, {"identifier": "F68", "position": [5, 3], "step": 18, "ordinal_position": 19}, {"identifier": "F18", "position": [5, 4], "step": 19, "ordinal_position": 20}, {"identifier": "H45", "position": [5, 5], "step": 20, "ordinal_position": 21}, {"identifier": "L44", "position": [4, 5], "step": 21, "ordinal_position": 22}, {"identifier": "A07", "position": [3, 5], "step": 22, "ordinal_position": 23}, {"identifier": "C94", "position": [2, 5], "step": 23, "ordinal_position": 24}, {"identifier": "Q71", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "A21", "position": [1, 4], "step": 25, "ordinal_position": 26}, {"identifier": "S22", "position": [1, 3], "step": 26, "ordinal_position": 27}, {"identifier": "I87", "position": [1, 2], "step": 27, "ordinal_position": 28}, {"identifier": "F41", "position": [1, 1], "step": 28, "ordinal_position": 29}, {"identifier": "P95", "position": [2, 1], "step": 29, "ordinal_position": 30}, {"identifier": "G53", "position": [3, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Z31", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "X50", "position": [5, 1], "step": 32, "ordinal_position": 33}, {"identifier": "A53", "position": [5, 2], "step": 33, "ordinal_position": 34}, {"identifier": "F68", "position": [5, 3], "step": 34, "ordinal_position": 35}, {"identifier": "F18", "position": [5, 4], "step": 35, "ordinal_position": 36}, {"identifier": "H45", "position": [5, 5], "step": 36, "ordinal_position": 37}, {"identifier": "L44", "position": [4, 5], "step": 37, "ordinal_position": 38}, {"identifier": "A07", "position": [3, 5], "step": 38, "ordinal_position": 39}, {"identifier": "C94", "position": [2, 5], "step": 39, "ordinal_position": 40}, {"identifier": "Q71", "position": [1, 5], "step": 40, "ordinal_position": 41}, {"identifier": "A21", "position": [1, 4], "step": 41, "ordinal_position": 42}, {"identifier": "S22", "position": [1, 3], "step": 42, "ordinal_position": 43}, {"identifier": "I87", "position": [1, 2], "step": 43, "ordinal_position": 44}, {"identifier": "F41", "position": [1, 1], "step": 44, "ordinal_position": 45}, {"identifier": "P95", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "G53", "position": [3, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Z31", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "X50", "position": [5, 1], "step": 48, "ordinal_position": 49}, {"identifier": "A53", "position": [5, 2], "step": 49, "ordinal_position": 50}, {"identifier": "F68", "position": [5, 3], "step": 50, "ordinal_position": 51}, {"identifier": "F18", "position": [5, 4], "step": 51, "ordinal_position": 52}, {"identifier": "H45", "position": [5, 5], "step": 52, "ordinal_position": 53}, {"identifier": "L44", "position": [4, 5], "step": 53, "ordinal_position": 54}, {"identifier": "A07", "position": [3, 5], "step": 54, "ordinal_position": 55}, {"identifier": "C94", "position": [2, 5], "step": 55, "ordinal_position": 56}, {"identifier": "Q71", "position": [1, 5], "step": 56, "ordinal_position": 57}, {"identifier": "A21", "position": [1, 4], "step": 57, "ordinal_position": 58}, {"identifier": "S22", "position": [1, 3], "step": 58, "ordinal_position": 59}, {"identifier": "I87", "position": [1, 2], "step": 59, "ordinal_position": 60}, {"identifier": "F41", "position": [1, 1], "step": 60, "ordinal_position": 61}, {"identifier": "P95", "position": [2, 1], "step": 61, "ordinal_position": 62}, {"identifier": "G53", "position": [3, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Z31", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "X50", "position": [5, 1], "step": 64, "ordinal_position": 65}, {"identifier": "A53", "position": [5, 2], "step": 65, "ordinal_position": 66}, {"identifier": "F68", "position": [5, 3], "step": 66, "ordinal_position": 67}, {"identifier": "F18", "position": [5, 4], "step": 67, "ordinal_position": 68}, {"identifier": "H45", "position": [5, 5], "step": 68, "ordinal_position": 69}, {"identifier": "L44", "position": [4, 5], "step": 69, "ordinal_position": 70}, {"identifier": "A07", "position": [3, 5], "step": 70, "ordinal_position": 71}, {"identifier": "C94", "position": [2, 5], "step": 71, "ordinal_position": 72}, {"identifier": "Q71", "position": [1, 5], "step": 72, "ordinal_position": 73}, {"identifier": "A21", "position": [1, 4], "step": 73, "ordinal_position": 74}, {"identifier": "S22", "position": [1, 3], "step": 74, "ordinal_position": 75}, {"identifier": "I87", "position": [1, 2], "step": 75, "ordinal_position": 76}, {"identifier": "F41", "position": [1, 1], "step": 76, "ordinal_position": 77}, {"identifier": "P95", "position": [2, 1], "step": 77, "ordinal_position": 78}, {"identifier": "G53", "position": [3, 1], "step": 78, "ordinal_position": 79}, {"identifier": "Z31", "position": [4, 1], "step": 79, "ordinal_position": 80}, {"identifier": "X50", "position": [5, 1], "step": 80, "ordinal_position": 81}, {"identifier": "A53", "position": [5, 2], "step": 81, "ordinal_position": 82}, {"identifier": "F68", "position": [5, 3], "step": 82, "ordinal_position": 83}, {"identifier": "F18", "position": [5, 4], "step": 83, "ordinal_position": 84}, {"identifier": "H45", "position": [5, 5], "step": 84, "ordinal_position": 85}, {"identifier": "L44", "position": [4, 5], "step": 85, "ordinal_position": 86}, {"identifier": "A07", "position": [3, 5], "step": 86, "ordinal_position": 87}, {"identifier": "C94", "position": [2, 5], "step": 87, "ordinal_position": 88}, {"identifier": "Q71", "position": [1, 5], "step": 88, "ordinal_position": 89}, {"identifier": "A21", "position": [1, 4], "step": 89, "ordinal_position": 90}, {"identifier": "S22", "position": [1, 3], "step": 90, "ordinal_position": 91}, {"identifier": "I87", "position": [1, 2], "step": 91, "ordinal_position": 92}, {"identifier": "F41", "position": [1, 1], "step": 92, "ordinal_position": 93}, {"identifier": "P95", "position": [2, 1], "step": 93, "ordinal_position": 94}, {"identifier": "G53", "position": [3, 1], "step": 94, "ordinal_position": 95}, {"identifier": "Z31", "position": [4, 1], "step": 95, "ordinal_position": 96}, {"identifier": "X50", "position": [5, 1], "step": 96, "ordinal_position": 97}, {"identifier": "A53", "position": [5, 2], "step": 97, "ordinal_position": 98}, {"identifier": "F68", "position": [5, 3], "step": 98, "ordinal_position": 99}, {"identifier": "F18", "position": [5, 4], "step": 99, "ordinal_position": 100}, {"identifier": "H45", "position": [5, 5], "step": 100, "ordinal_position": 101}, {"identifier": "L44", "position": [4, 5], "step": 101, "ordinal_position": 102}, {"identifier": "A07", "position": [3, 5], "step": 102, "ordinal_position": 103}, {"identifier": "C94", "position": [2, 5], "step": 103, "ordinal_position": 104}, {"identifier": "Q71", "position": [1, 5], "step": 104, "ordinal_position": 105}, {"identifier": "A21", "position": [1, 4], "step": 105, "ordinal_position": 106}, {"identifier": "S22", "position": [1, 3], "step": 106, "ordinal_position": 107}, {"identifier": "I87", "position": [1, 2], "step": 107, "ordinal_position": 108}, {"identifier": "F41", "position": [1, 1], "step": 108, "ordinal_position": 109}, {"identifier": "P95", "position": [2, 1], "step": 109, "ordinal_position": 110}, {"identifier": "G53", "position": [3, 1], "step": 110, "ordinal_position": 111}, {"identifier": "Z31", "position": [4, 1], "step": 111, "ordinal_position": 112}, {"identifier": "X50", "position": [5, 1], "step": 112, "ordinal_position": 113}, {"identifier": "A53", "position": [5, 2], "step": 113, "ordinal_position": 114}, {"identifier": "F68", "position": [5, 3], "step": 114, "ordinal_position": 115}, {"identifier": "F18", "position": [5, 4], "step": 115, "ordinal_position": 116}, {"identifier": "H45", "position": [5, 5], "step": 116, "ordinal_position": 117}, {"identifier": "L44", "position": [4, 5], "step": 117, "ordinal_position": 118}, {"identifier": "A07", "position": [3, 5], "step": 118, "ordinal_position": 119}, {"identifier": "C94", "position": [2, 5], "step": 119, "ordinal_position": 120}, {"identifier": "Q71", "position": [1, 5], "step": 120, "ordinal_position": 121}, {"identifier": "A21", "position": [1, 4], "step": 121, "ordinal_position": 122}, {"identifier": "S22", "position": [1, 3], "step": 122, "ordinal_position": 123}, {"identifier": "I87", "position": [1, 2], "step": 123, "ordinal_position": 124}, {"identifier": "F41", "position": [1, 1], "step": 124, "ordinal_position": 125}, {"identifier": "P95", "position": [2, 1], "step": 125, "ordinal_position": 126}, {"identifier": "G53", "position": [3, 1], "step": 126, "ordinal_position": 127}, {"identifier": "Z31", "position": [4, 1], "step": 127, "ordinal_position": 128}, {"identifier": "X50", "position": [5, 1], "step": 128, "ordinal_position": 129}, {"identifier": "A53", "position": [5, 2], "step": 129, "ordinal_position": 130}, {"identifier": "F68", "position": [5, 3], "step": 130, "ordinal_position": 131}, {"identifier": "F18", "position": [5, 4], "step": 131, "ordinal_position": 132}, {"identifier": "H45", "position": [5, 5], "step": 132, "ordinal_position": 133}, {"identifier": "L44", "position": [4, 5], "step": 133, "ordinal_position": 134}, {"identifier": "A07", "position": [3, 5], "step": 134, "ordinal_position": 135}, {"identifier": "C94", "position": [2, 5], "step": 135, "ordinal_position": 136}, {"identifier": "Q71", "position": [1, 5], "step": 136, "ordinal_position": 137}, {"identifier": "A21", "position": [1, 4], "step": 137, "ordinal_position": 138}, {"identifier": "S22", "position": [1, 3], "step": 138, "ordinal_position": 139}, {"identifier": "I87", "position": [1, 2], "step": 139, "ordinal_position": 140}, {"identifier": "F41", "position": [1, 1], "step": 140, "ordinal_position": 141}, {"identifier": "P95", "position": [2, 1], "step": 141, "ordinal_position": 142}, {"identifier": "G53", "position": [3, 1], "step": 142, "ordinal_position": 143}, {"identifier": "Z31", "position": [4, 1], "step": 143, "ordinal_position": 144}, {"identifier": "X50", "position": [5, 1], "step": 144, "ordinal_position": 145}, {"identifier": "A53", "position": [5, 2], "step": 145, "ordinal_position": 146}, {"identifier": "F68", "position": [5, 3], "step": 146, "ordinal_position": 147}, {"identifier": "F18", "position": [5, 4], "step": 147, "ordinal_position": 148}, {"identifier": "H45", "position": [5, 5], "step": 148, "ordinal_position": 149}, {"identifier": "L44", "position": [4, 5], "step": 149, "ordinal_position": 150}, {"identifier": "A07", "position": [3, 5], "step": 150, "ordinal_position": 151}, {"identifier": "C94", "position": [2, 5], "step": 151, "ordinal_position": 152}, {"identifier": "Q71", "position": [1, 5], "step": 152, "ordinal_position": 153}, {"identifier": "A21", "position": [1, 4], "step": 153, "ordinal_position": 154}, {"identifier": "S22", "position": [1, 3], "step": 154, "ordinal_position": 155}, {"identifier": "I87", "position": [1, 2], "step": 155, "ordinal_position": 156}, {"identifier": "F41", "position": [1, 1], "step": 156, "ordinal_position": 157}, {"identifier": "P95", "position": [2, 1], "step": 157, "ordinal_position": 158}, {"identifier": "G53", "position": [3, 1], "step": 158, "ordinal_position": 159}, {"identifier": "Z31", "position": [4, 1], "step": 159, "ordinal_position": 160}, {"identifier": "X50", "position": [5, 1], "step": 160, "ordinal_position": 161}, {"identifier": "A53", "position": [5, 2], "step": 161, "ordinal_position": 162}, {"identifier": "F68", "position": [5, 3], "step": 162, "ordinal_position": 163}, {"identifier": "F18", "position": [5, 4], "step": 163, "ordinal_position": 164}, {"identifier": "H45", "position": [5, 5], "step": 164, "ordinal_position": 165}, {"identifier": "L44", "position": [4, 5], "step": 165, "ordinal_position": 166}, {"identifier": "A07", "position": [3, 5], "step": 166, "ordinal_position": 167}, {"identifier": "C94", "position": [2, 5], "step": 167, "ordinal_position": 168}, {"identifier": "Q71", "position": [1, 5], "step": 168, "ordinal_position": 169}, {"identifier": "A21", "position": [1, 4], "step": 169, "ordinal_position": 170}, {"identifier": "S22", "position": [1, 3], "step": 170, "ordinal_position": 171}, {"identifier": "I87", "position": [1, 2], "step": 171, "ordinal_position": 172}, {"identifier": "F41", "position": [1, 1], "step": 172, "ordinal_position": 173}, {"identifier": "P95", "position": [2, 1], "step": 173, "ordinal_position": 174}, {"identifier": "G53", "position": [3, 1], "step": 174, "ordinal_position": 175}, {"identifier": "Z31", "position": [4, 1], "step": 175, "ordinal_position": 176}, {"identifier": "X50", "position": [5, 1], "step": 176, "ordinal_position": 177}, {"identifier": "A53", "position": [5, 2], "step": 177, "ordinal_position": 178}, {"identifier": "F68", "position": [5, 3], "step": 178, "ordinal_position": 179}, {"identifier": "F18", "position": [5, 4], "step": 179, "ordinal_position": 180}, {"identifier": "H45", "position": [5, 5], "step": 180, "ordinal_position": 181}, {"identifier": "L44", "position": [4, 5], "step": 181, "ordinal_position": 182}, {"identifier": "A07", "position": [3, 5], "step": 182, "ordinal_position": 183}, {"identifier": "C94", "position": [2, 5], "step": 183, "ordinal_position": 184}, {"identifier": "Q71", "position": [1, 5], "step": 184, "ordinal_position": 185}, {"identifier": "A21", "position": [1, 4], "step": 185, "ordinal_position": 186}, {"identifier": "S22", "position": [1, 3], "step": 186, "ordinal_position": 187}, {"identifier": "I87", "position": [1, 2], "step": 187, "ordinal_position": 188}, {"identifier": "F41", "position": [1, 1], "step": 188, "ordinal_position": 189}, {"identifier": "P95", "position": [2, 1], "step": 189, "ordinal_position": 190}, {"identifier": "G53", "position": [3, 1], "step": 190, "ordinal_position": 191}, {"identifier": "Z31", "position": [4, 1], "step": 191, "ordinal_position": 192}, {"identifier": "X50", "position": [5, 1], "step": 192, "ordinal_position": 193}, {"identifier": "A53", "position": [5, 2], "step": 193, "ordinal_position": 194}, {"identifier": "F68", "position": [5, 3], "step": 194, "ordinal_position": 195}, {"identifier": "F18", "position": [5, 4], "step": 195, "ordinal_position": 196}, {"identifier": "H45", "position": [5, 5], "step": 196, "ordinal_position": 197}, {"identifier": "L44", "position": [4, 5], "step": 197, "ordinal_position": 198}, {"identifier": "A07", "position": [3, 5], "step": 198, "ordinal_position": 199}, {"identifier": "C94", "position": [2, 5], "step": 199, "ordinal_position": 200}, {"identifier": "Q71", "position": [1, 5], "step": 200, "ordinal_position": 201}, {"identifier": "A21", "position": [1, 4], "step": 201, "ordinal_position": 202}, {"identifier": "S22", "position": [1, 3], "step": 202, "ordinal_position": 203}, {"identifier": "I87", "position": [1, 2], "step": 203, "ordinal_position": 204}, {"identifier": "F41", "position": [1, 1], "step": 204, "ordinal_position": 205}, {"identifier": "P95", "position": [2, 1], "step": 205, "ordinal_position": 206}, {"identifier": "G53", "position": [3, 1], "step": 206, "ordinal_position": 207}, {"identifier": "Z31", "position": [4, 1], "step": 207, "ordinal_position": 208}, {"identifier": "X50", "position": [5, 1], "step": 208, "ordinal_position": 209}, {"identifier": "A53", "position": [5, 2], "step": 209, "ordinal_position": 210}, {"identifier": "F68", "position": [5, 3], "step": 210, "ordinal_position": 211}, {"identifier": "F18", "position": [5, 4], "step": 211, "ordinal_position": 212}, {"identifier": "H45", "position": [5, 5], "step": 212, "ordinal_position": 213}, {"identifier": "L44", "position": [4, 5], "step": 213, "ordinal_position": 214}, {"identifier": "A07", "position": [3, 5], "step": 214, "ordinal_position": 215}, {"identifier": "C94", "position": [2, 5], "step": 215, "ordinal_position": 216}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 216, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_005.json"}} {"qa_id": "3a2cab70d7754f7bbd4897966dcfe8b7", "image_id": "L3-MazeLoop-test_7x7_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I57, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 145th position in this traversal?", "start_object_id": "I57", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [145], "ordinal_strings": ["145th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "H45", "traversal_path": [{"identifier": "I57", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "Z29", "position": [3, 4], "step": 1, "ordinal_position": 2}, {"identifier": "A07", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "C94", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "Q71", "position": [1, 5], "step": 4, "ordinal_position": 5}, {"identifier": "A21", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "S22", "position": [1, 3], "step": 6, "ordinal_position": 7}, {"identifier": "I87", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "F41", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "P95", "position": [2, 1], "step": 9, "ordinal_position": 10}, {"identifier": "G53", "position": [3, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Z31", "position": [4, 1], "step": 11, "ordinal_position": 12}, {"identifier": "X50", "position": [5, 1], "step": 12, "ordinal_position": 13}, {"identifier": "A53", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "F68", "position": [5, 3], "step": 14, "ordinal_position": 15}, {"identifier": "F18", "position": [5, 4], "step": 15, "ordinal_position": 16}, {"identifier": "H45", "position": [5, 5], "step": 16, "ordinal_position": 17}, {"identifier": "L44", "position": [4, 5], "step": 17, "ordinal_position": 18}, {"identifier": "A07", "position": [3, 5], "step": 18, "ordinal_position": 19}, {"identifier": "C94", "position": [2, 5], "step": 19, "ordinal_position": 20}, {"identifier": "Q71", "position": [1, 5], "step": 20, "ordinal_position": 21}, {"identifier": "A21", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "S22", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "I87", "position": [1, 2], "step": 23, "ordinal_position": 24}, {"identifier": "F41", "position": [1, 1], "step": 24, "ordinal_position": 25}, {"identifier": "P95", "position": [2, 1], "step": 25, "ordinal_position": 26}, {"identifier": "G53", "position": [3, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Z31", "position": [4, 1], "step": 27, "ordinal_position": 28}, {"identifier": "X50", "position": [5, 1], "step": 28, "ordinal_position": 29}, {"identifier": "A53", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "F68", "position": [5, 3], "step": 30, "ordinal_position": 31}, {"identifier": "F18", "position": [5, 4], "step": 31, "ordinal_position": 32}, {"identifier": "H45", "position": [5, 5], "step": 32, "ordinal_position": 33}, {"identifier": "L44", "position": [4, 5], "step": 33, "ordinal_position": 34}, {"identifier": "A07", "position": [3, 5], "step": 34, "ordinal_position": 35}, {"identifier": "C94", "position": [2, 5], "step": 35, "ordinal_position": 36}, {"identifier": "Q71", "position": [1, 5], "step": 36, "ordinal_position": 37}, {"identifier": "A21", "position": [1, 4], "step": 37, "ordinal_position": 38}, {"identifier": "S22", "position": [1, 3], "step": 38, "ordinal_position": 39}, {"identifier": "I87", "position": [1, 2], "step": 39, "ordinal_position": 40}, {"identifier": "F41", "position": [1, 1], "step": 40, "ordinal_position": 41}, {"identifier": "P95", "position": [2, 1], "step": 41, "ordinal_position": 42}, {"identifier": "G53", "position": [3, 1], "step": 42, "ordinal_position": 43}, {"identifier": "Z31", "position": [4, 1], "step": 43, "ordinal_position": 44}, {"identifier": "X50", "position": [5, 1], "step": 44, "ordinal_position": 45}, {"identifier": "A53", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "F68", "position": [5, 3], "step": 46, "ordinal_position": 47}, {"identifier": "F18", "position": [5, 4], "step": 47, "ordinal_position": 48}, {"identifier": "H45", "position": [5, 5], "step": 48, "ordinal_position": 49}, {"identifier": "L44", "position": [4, 5], "step": 49, "ordinal_position": 50}, {"identifier": "A07", "position": [3, 5], "step": 50, "ordinal_position": 51}, {"identifier": "C94", "position": [2, 5], "step": 51, "ordinal_position": 52}, {"identifier": "Q71", "position": [1, 5], "step": 52, "ordinal_position": 53}, {"identifier": "A21", "position": [1, 4], "step": 53, "ordinal_position": 54}, {"identifier": "S22", "position": [1, 3], "step": 54, "ordinal_position": 55}, {"identifier": "I87", "position": [1, 2], "step": 55, "ordinal_position": 56}, {"identifier": "F41", "position": [1, 1], "step": 56, "ordinal_position": 57}, {"identifier": "P95", "position": [2, 1], "step": 57, "ordinal_position": 58}, {"identifier": "G53", "position": [3, 1], "step": 58, "ordinal_position": 59}, {"identifier": "Z31", "position": [4, 1], "step": 59, "ordinal_position": 60}, {"identifier": "X50", "position": [5, 1], "step": 60, "ordinal_position": 61}, {"identifier": "A53", "position": [5, 2], "step": 61, "ordinal_position": 62}, {"identifier": "F68", "position": [5, 3], "step": 62, "ordinal_position": 63}, {"identifier": "F18", "position": [5, 4], "step": 63, "ordinal_position": 64}, {"identifier": "H45", "position": [5, 5], "step": 64, "ordinal_position": 65}, {"identifier": "L44", "position": [4, 5], "step": 65, "ordinal_position": 66}, {"identifier": "A07", "position": [3, 5], "step": 66, "ordinal_position": 67}, {"identifier": "C94", "position": [2, 5], "step": 67, "ordinal_position": 68}, {"identifier": "Q71", "position": [1, 5], "step": 68, "ordinal_position": 69}, {"identifier": "A21", "position": [1, 4], "step": 69, "ordinal_position": 70}, {"identifier": "S22", "position": [1, 3], "step": 70, "ordinal_position": 71}, {"identifier": "I87", "position": [1, 2], "step": 71, "ordinal_position": 72}, {"identifier": "F41", "position": [1, 1], "step": 72, "ordinal_position": 73}, {"identifier": "P95", "position": [2, 1], "step": 73, "ordinal_position": 74}, {"identifier": "G53", "position": [3, 1], "step": 74, "ordinal_position": 75}, {"identifier": "Z31", "position": [4, 1], "step": 75, "ordinal_position": 76}, {"identifier": "X50", "position": [5, 1], "step": 76, "ordinal_position": 77}, {"identifier": "A53", "position": [5, 2], "step": 77, "ordinal_position": 78}, {"identifier": "F68", "position": [5, 3], "step": 78, "ordinal_position": 79}, {"identifier": "F18", "position": [5, 4], "step": 79, "ordinal_position": 80}, {"identifier": "H45", "position": [5, 5], "step": 80, "ordinal_position": 81}, {"identifier": "L44", "position": [4, 5], "step": 81, "ordinal_position": 82}, {"identifier": "A07", "position": [3, 5], "step": 82, "ordinal_position": 83}, {"identifier": "C94", "position": [2, 5], "step": 83, "ordinal_position": 84}, {"identifier": "Q71", "position": [1, 5], "step": 84, "ordinal_position": 85}, {"identifier": "A21", "position": [1, 4], "step": 85, "ordinal_position": 86}, {"identifier": "S22", "position": [1, 3], "step": 86, "ordinal_position": 87}, {"identifier": "I87", "position": [1, 2], "step": 87, "ordinal_position": 88}, {"identifier": "F41", "position": [1, 1], "step": 88, "ordinal_position": 89}, {"identifier": "P95", "position": [2, 1], "step": 89, "ordinal_position": 90}, {"identifier": "G53", "position": [3, 1], "step": 90, "ordinal_position": 91}, {"identifier": "Z31", "position": [4, 1], "step": 91, "ordinal_position": 92}, {"identifier": "X50", "position": [5, 1], "step": 92, "ordinal_position": 93}, {"identifier": "A53", "position": [5, 2], "step": 93, "ordinal_position": 94}, {"identifier": "F68", "position": [5, 3], "step": 94, "ordinal_position": 95}, {"identifier": "F18", "position": [5, 4], "step": 95, "ordinal_position": 96}, {"identifier": "H45", "position": [5, 5], "step": 96, "ordinal_position": 97}, {"identifier": "L44", "position": [4, 5], "step": 97, "ordinal_position": 98}, {"identifier": "A07", "position": [3, 5], "step": 98, "ordinal_position": 99}, {"identifier": "C94", "position": [2, 5], "step": 99, "ordinal_position": 100}, {"identifier": "Q71", "position": [1, 5], "step": 100, "ordinal_position": 101}, {"identifier": "A21", "position": [1, 4], "step": 101, "ordinal_position": 102}, {"identifier": "S22", "position": [1, 3], "step": 102, "ordinal_position": 103}, {"identifier": "I87", "position": [1, 2], "step": 103, "ordinal_position": 104}, {"identifier": "F41", "position": [1, 1], "step": 104, "ordinal_position": 105}, {"identifier": "P95", "position": [2, 1], "step": 105, "ordinal_position": 106}, {"identifier": "G53", "position": [3, 1], "step": 106, "ordinal_position": 107}, {"identifier": "Z31", "position": [4, 1], "step": 107, "ordinal_position": 108}, {"identifier": "X50", "position": [5, 1], "step": 108, "ordinal_position": 109}, {"identifier": "A53", "position": [5, 2], "step": 109, "ordinal_position": 110}, {"identifier": "F68", "position": [5, 3], "step": 110, "ordinal_position": 111}, {"identifier": "F18", "position": [5, 4], "step": 111, "ordinal_position": 112}, {"identifier": "H45", "position": [5, 5], "step": 112, "ordinal_position": 113}, {"identifier": "L44", "position": [4, 5], "step": 113, "ordinal_position": 114}, {"identifier": "A07", "position": [3, 5], "step": 114, "ordinal_position": 115}, {"identifier": "C94", "position": [2, 5], "step": 115, "ordinal_position": 116}, {"identifier": "Q71", "position": [1, 5], "step": 116, "ordinal_position": 117}, {"identifier": "A21", "position": [1, 4], "step": 117, "ordinal_position": 118}, {"identifier": "S22", "position": [1, 3], "step": 118, "ordinal_position": 119}, {"identifier": "I87", "position": [1, 2], "step": 119, "ordinal_position": 120}, {"identifier": "F41", "position": [1, 1], "step": 120, "ordinal_position": 121}, {"identifier": "P95", "position": [2, 1], "step": 121, "ordinal_position": 122}, {"identifier": "G53", "position": [3, 1], "step": 122, "ordinal_position": 123}, {"identifier": "Z31", "position": [4, 1], "step": 123, "ordinal_position": 124}, {"identifier": "X50", "position": [5, 1], "step": 124, "ordinal_position": 125}, {"identifier": "A53", "position": [5, 2], "step": 125, "ordinal_position": 126}, {"identifier": "F68", "position": [5, 3], "step": 126, "ordinal_position": 127}, {"identifier": "F18", "position": [5, 4], "step": 127, "ordinal_position": 128}, {"identifier": "H45", "position": [5, 5], "step": 128, "ordinal_position": 129}, {"identifier": "L44", "position": [4, 5], "step": 129, "ordinal_position": 130}, {"identifier": "A07", "position": [3, 5], "step": 130, "ordinal_position": 131}, {"identifier": "C94", "position": [2, 5], "step": 131, "ordinal_position": 132}, {"identifier": "Q71", "position": [1, 5], "step": 132, "ordinal_position": 133}, {"identifier": "A21", "position": [1, 4], "step": 133, "ordinal_position": 134}, {"identifier": "S22", "position": [1, 3], "step": 134, "ordinal_position": 135}, {"identifier": "I87", "position": [1, 2], "step": 135, "ordinal_position": 136}, {"identifier": "F41", "position": [1, 1], "step": 136, "ordinal_position": 137}, {"identifier": "P95", "position": [2, 1], "step": 137, "ordinal_position": 138}, {"identifier": "G53", "position": [3, 1], "step": 138, "ordinal_position": 139}, {"identifier": "Z31", "position": [4, 1], "step": 139, "ordinal_position": 140}, {"identifier": "X50", "position": [5, 1], "step": 140, "ordinal_position": 141}, {"identifier": "A53", "position": [5, 2], "step": 141, "ordinal_position": 142}, {"identifier": "F68", "position": [5, 3], "step": 142, "ordinal_position": 143}, {"identifier": "F18", "position": [5, 4], "step": 143, "ordinal_position": 144}, {"identifier": "H45", "position": [5, 5], "step": 144, "ordinal_position": 145}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 145, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_005.json"}} {"qa_id": "32f784810da244339528a56db6db525b", "image_id": "L3-MazeLoop-test_7x7_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N74, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "N74", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "D60", "traversal_path": [{"identifier": "N74", "position": [2, 3], "step": 0, "ordinal_position": 1}, {"identifier": "S23", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "D60", "position": [1, 2], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 3, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_006.json"}} {"qa_id": "2636752e55fe40ceb31d7e88289621ed", "image_id": "L3-MazeLoop-test_7x7_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I07, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "I07", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K25", "traversal_path": [{"identifier": "I07", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "K87", "position": [3, 2], "step": 1, "ordinal_position": 2}, {"identifier": "D81", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "N74", "position": [2, 3], "step": 3, "ordinal_position": 4}, {"identifier": "S23", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "D60", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "K25", "position": [1, 1], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_006.json"}} {"qa_id": "e17c34380afc4529a7746010dfb8728f", "image_id": "L3-MazeLoop-test_7x7_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O83, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "O83", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Y98", "traversal_path": [{"identifier": "O83", "position": [4, 5], "step": 0, "ordinal_position": 1}, {"identifier": "Y98", "position": [3, 5], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 2, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_006.json"}} {"qa_id": "8a16790a19ff44b59f2383cfca4a014c", "image_id": "L3-MazeLoop-test_7x7_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S23, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "S23", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Y98", "traversal_path": [{"identifier": "S23", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "X07", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "Q79", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "D84", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "Y98", "position": [3, 5], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_006.json"}} {"qa_id": "863ebbc416204b99884b08935dd96797", "image_id": "L3-MazeLoop-test_7x7_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y98, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "Y98", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "W67", "traversal_path": [{"identifier": "Y98", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "O83", "position": [4, 5], "step": 1, "ordinal_position": 2}, {"identifier": "L92", "position": [5, 5], "step": 2, "ordinal_position": 3}, {"identifier": "W67", "position": [5, 4], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_006.json"}} {"qa_id": "186233b0d94e45dda5a5d03e05beafd6", "image_id": "L3-MazeLoop-test_7x7_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K87, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 17th position in this traversal?", "start_object_id": "K87", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [17], "ordinal_strings": ["17th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "D84", "traversal_path": [{"identifier": "K87", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "D81", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "N74", "position": [2, 3], "step": 2, "ordinal_position": 3}, {"identifier": "S23", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "D60", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "K25", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "W08", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "I07", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "H90", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "W04", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "R39", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "D85", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "W67", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "L92", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "O83", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "Y98", "position": [3, 5], "step": 15, "ordinal_position": 16}, {"identifier": "D84", "position": [2, 5], "step": 16, "ordinal_position": 17}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 17, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_006.json"}} {"qa_id": "91a4bdb5f73245e99f022da8ac053c75", "image_id": "L3-MazeLoop-test_7x7_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W04, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 16th position in this traversal?", "start_object_id": "W04", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [16], "ordinal_strings": ["16th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "R39", "traversal_path": [{"identifier": "W04", "position": [5, 1], "step": 0, "ordinal_position": 1}, {"identifier": "H90", "position": [4, 1], "step": 1, "ordinal_position": 2}, {"identifier": "I07", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "W08", "position": [2, 1], "step": 3, "ordinal_position": 4}, {"identifier": "K25", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "D60", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "S23", "position": [1, 3], "step": 6, "ordinal_position": 7}, {"identifier": "X07", "position": [1, 4], "step": 7, "ordinal_position": 8}, {"identifier": "Q79", "position": [1, 5], "step": 8, "ordinal_position": 9}, {"identifier": "D84", "position": [2, 5], "step": 9, "ordinal_position": 10}, {"identifier": "Y98", "position": [3, 5], "step": 10, "ordinal_position": 11}, {"identifier": "O83", "position": [4, 5], "step": 11, "ordinal_position": 12}, {"identifier": "L92", "position": [5, 5], "step": 12, "ordinal_position": 13}, {"identifier": "W67", "position": [5, 4], "step": 13, "ordinal_position": 14}, {"identifier": "D85", "position": [5, 3], "step": 14, "ordinal_position": 15}, {"identifier": "R39", "position": [5, 2], "step": 15, "ordinal_position": 16}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 16, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_006.json"}} {"qa_id": "8bbca149c2354650bfd8187b6938277f", "image_id": "L3-MazeLoop-test_7x7_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q79, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 40th position in this traversal?", "start_object_id": "Q79", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [40], "ordinal_strings": ["40th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "R39", "traversal_path": [{"identifier": "Q79", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "D84", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "Y98", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "O83", "position": [4, 5], "step": 3, "ordinal_position": 4}, {"identifier": "L92", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "W67", "position": [5, 4], "step": 5, "ordinal_position": 6}, {"identifier": "D85", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "R39", "position": [5, 2], "step": 7, "ordinal_position": 8}, {"identifier": "W04", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "H90", "position": [4, 1], "step": 9, "ordinal_position": 10}, {"identifier": "I07", "position": [3, 1], "step": 10, "ordinal_position": 11}, {"identifier": "W08", "position": [2, 1], "step": 11, "ordinal_position": 12}, {"identifier": "K25", "position": [1, 1], "step": 12, "ordinal_position": 13}, {"identifier": "D60", "position": [1, 2], "step": 13, "ordinal_position": 14}, {"identifier": "S23", "position": [1, 3], "step": 14, "ordinal_position": 15}, {"identifier": "X07", "position": [1, 4], "step": 15, "ordinal_position": 16}, {"identifier": "Q79", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "D84", "position": [2, 5], "step": 17, "ordinal_position": 18}, {"identifier": "Y98", "position": [3, 5], "step": 18, "ordinal_position": 19}, {"identifier": "O83", "position": [4, 5], "step": 19, "ordinal_position": 20}, {"identifier": "L92", "position": [5, 5], "step": 20, "ordinal_position": 21}, {"identifier": "W67", "position": [5, 4], "step": 21, "ordinal_position": 22}, {"identifier": "D85", "position": [5, 3], "step": 22, "ordinal_position": 23}, {"identifier": "R39", "position": [5, 2], "step": 23, "ordinal_position": 24}, {"identifier": "W04", "position": [5, 1], "step": 24, "ordinal_position": 25}, {"identifier": "H90", "position": [4, 1], "step": 25, "ordinal_position": 26}, {"identifier": "I07", "position": [3, 1], "step": 26, "ordinal_position": 27}, {"identifier": "W08", "position": [2, 1], "step": 27, "ordinal_position": 28}, {"identifier": "K25", "position": [1, 1], "step": 28, "ordinal_position": 29}, {"identifier": "D60", "position": [1, 2], "step": 29, "ordinal_position": 30}, {"identifier": "S23", "position": [1, 3], "step": 30, "ordinal_position": 31}, {"identifier": "X07", "position": [1, 4], "step": 31, "ordinal_position": 32}, {"identifier": "Q79", "position": [1, 5], "step": 32, "ordinal_position": 33}, {"identifier": "D84", "position": [2, 5], "step": 33, "ordinal_position": 34}, {"identifier": "Y98", "position": [3, 5], "step": 34, "ordinal_position": 35}, {"identifier": "O83", "position": [4, 5], "step": 35, "ordinal_position": 36}, {"identifier": "L92", "position": [5, 5], "step": 36, "ordinal_position": 37}, {"identifier": "W67", "position": [5, 4], "step": 37, "ordinal_position": 38}, {"identifier": "D85", "position": [5, 3], "step": 38, "ordinal_position": 39}, {"identifier": "R39", "position": [5, 2], "step": 39, "ordinal_position": 40}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 40, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_006.json"}} {"qa_id": "19b158535e7e430186f198d22fa3158f", "image_id": "L3-MazeLoop-test_7x7_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D85, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 97th position in this traversal?", "start_object_id": "D85", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [97], "ordinal_strings": ["97th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "D85", "traversal_path": [{"identifier": "D85", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "R39", "position": [5, 2], "step": 1, "ordinal_position": 2}, {"identifier": "W04", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "H90", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "I07", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "W08", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "K25", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "D60", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "S23", "position": [1, 3], "step": 8, "ordinal_position": 9}, {"identifier": "X07", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "Q79", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "D84", "position": [2, 5], "step": 11, "ordinal_position": 12}, {"identifier": "Y98", "position": [3, 5], "step": 12, "ordinal_position": 13}, {"identifier": "O83", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "L92", "position": [5, 5], "step": 14, "ordinal_position": 15}, {"identifier": "W67", "position": [5, 4], "step": 15, "ordinal_position": 16}, {"identifier": "D85", "position": [5, 3], "step": 16, "ordinal_position": 17}, {"identifier": "R39", "position": [5, 2], "step": 17, "ordinal_position": 18}, {"identifier": "W04", "position": [5, 1], "step": 18, "ordinal_position": 19}, {"identifier": "H90", "position": [4, 1], "step": 19, "ordinal_position": 20}, {"identifier": "I07", "position": [3, 1], "step": 20, "ordinal_position": 21}, {"identifier": "W08", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "K25", "position": [1, 1], "step": 22, "ordinal_position": 23}, {"identifier": "D60", "position": [1, 2], "step": 23, "ordinal_position": 24}, {"identifier": "S23", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "X07", "position": [1, 4], "step": 25, "ordinal_position": 26}, {"identifier": "Q79", "position": [1, 5], "step": 26, "ordinal_position": 27}, {"identifier": "D84", "position": [2, 5], "step": 27, "ordinal_position": 28}, {"identifier": "Y98", "position": [3, 5], "step": 28, "ordinal_position": 29}, {"identifier": "O83", "position": [4, 5], "step": 29, "ordinal_position": 30}, {"identifier": "L92", "position": [5, 5], "step": 30, "ordinal_position": 31}, {"identifier": "W67", "position": [5, 4], "step": 31, "ordinal_position": 32}, {"identifier": "D85", "position": [5, 3], "step": 32, "ordinal_position": 33}, {"identifier": "R39", "position": [5, 2], "step": 33, "ordinal_position": 34}, {"identifier": "W04", "position": [5, 1], "step": 34, "ordinal_position": 35}, {"identifier": "H90", "position": [4, 1], "step": 35, "ordinal_position": 36}, {"identifier": "I07", "position": [3, 1], "step": 36, "ordinal_position": 37}, {"identifier": "W08", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "K25", "position": [1, 1], "step": 38, "ordinal_position": 39}, {"identifier": "D60", "position": [1, 2], "step": 39, "ordinal_position": 40}, {"identifier": "S23", "position": [1, 3], "step": 40, "ordinal_position": 41}, {"identifier": "X07", "position": [1, 4], "step": 41, "ordinal_position": 42}, {"identifier": "Q79", "position": [1, 5], "step": 42, "ordinal_position": 43}, {"identifier": "D84", "position": [2, 5], "step": 43, "ordinal_position": 44}, {"identifier": "Y98", "position": [3, 5], "step": 44, "ordinal_position": 45}, {"identifier": "O83", "position": [4, 5], "step": 45, "ordinal_position": 46}, {"identifier": "L92", "position": [5, 5], "step": 46, "ordinal_position": 47}, {"identifier": "W67", "position": [5, 4], "step": 47, "ordinal_position": 48}, {"identifier": "D85", "position": [5, 3], "step": 48, "ordinal_position": 49}, {"identifier": "R39", "position": [5, 2], "step": 49, "ordinal_position": 50}, {"identifier": "W04", "position": [5, 1], "step": 50, "ordinal_position": 51}, {"identifier": "H90", "position": [4, 1], "step": 51, "ordinal_position": 52}, {"identifier": "I07", "position": [3, 1], "step": 52, "ordinal_position": 53}, {"identifier": "W08", "position": [2, 1], "step": 53, "ordinal_position": 54}, {"identifier": "K25", "position": [1, 1], "step": 54, "ordinal_position": 55}, {"identifier": "D60", "position": [1, 2], "step": 55, "ordinal_position": 56}, {"identifier": "S23", "position": [1, 3], "step": 56, "ordinal_position": 57}, {"identifier": "X07", "position": [1, 4], "step": 57, "ordinal_position": 58}, {"identifier": "Q79", "position": [1, 5], "step": 58, "ordinal_position": 59}, {"identifier": "D84", "position": [2, 5], "step": 59, "ordinal_position": 60}, {"identifier": "Y98", "position": [3, 5], "step": 60, "ordinal_position": 61}, {"identifier": "O83", "position": [4, 5], "step": 61, "ordinal_position": 62}, {"identifier": "L92", "position": [5, 5], "step": 62, "ordinal_position": 63}, {"identifier": "W67", "position": [5, 4], "step": 63, "ordinal_position": 64}, {"identifier": "D85", "position": [5, 3], "step": 64, "ordinal_position": 65}, {"identifier": "R39", "position": [5, 2], "step": 65, "ordinal_position": 66}, {"identifier": "W04", "position": [5, 1], "step": 66, "ordinal_position": 67}, {"identifier": "H90", "position": [4, 1], "step": 67, "ordinal_position": 68}, {"identifier": "I07", "position": [3, 1], "step": 68, "ordinal_position": 69}, {"identifier": "W08", "position": [2, 1], "step": 69, "ordinal_position": 70}, {"identifier": "K25", "position": [1, 1], "step": 70, "ordinal_position": 71}, {"identifier": "D60", "position": [1, 2], "step": 71, "ordinal_position": 72}, {"identifier": "S23", "position": [1, 3], "step": 72, "ordinal_position": 73}, {"identifier": "X07", "position": [1, 4], "step": 73, "ordinal_position": 74}, {"identifier": "Q79", "position": [1, 5], "step": 74, "ordinal_position": 75}, {"identifier": "D84", "position": [2, 5], "step": 75, "ordinal_position": 76}, {"identifier": "Y98", "position": [3, 5], "step": 76, "ordinal_position": 77}, {"identifier": "O83", "position": [4, 5], "step": 77, "ordinal_position": 78}, {"identifier": "L92", "position": [5, 5], "step": 78, "ordinal_position": 79}, {"identifier": "W67", "position": [5, 4], "step": 79, "ordinal_position": 80}, {"identifier": "D85", "position": [5, 3], "step": 80, "ordinal_position": 81}, {"identifier": "R39", "position": [5, 2], "step": 81, "ordinal_position": 82}, {"identifier": "W04", "position": [5, 1], "step": 82, "ordinal_position": 83}, {"identifier": "H90", "position": [4, 1], "step": 83, "ordinal_position": 84}, {"identifier": "I07", "position": [3, 1], "step": 84, "ordinal_position": 85}, {"identifier": "W08", "position": [2, 1], "step": 85, "ordinal_position": 86}, {"identifier": "K25", "position": [1, 1], "step": 86, "ordinal_position": 87}, {"identifier": "D60", "position": [1, 2], "step": 87, "ordinal_position": 88}, {"identifier": "S23", "position": [1, 3], "step": 88, "ordinal_position": 89}, {"identifier": "X07", "position": [1, 4], "step": 89, "ordinal_position": 90}, {"identifier": "Q79", "position": [1, 5], "step": 90, "ordinal_position": 91}, {"identifier": "D84", "position": [2, 5], "step": 91, "ordinal_position": 92}, {"identifier": "Y98", "position": [3, 5], "step": 92, "ordinal_position": 93}, {"identifier": "O83", "position": [4, 5], "step": 93, "ordinal_position": 94}, {"identifier": "L92", "position": [5, 5], "step": 94, "ordinal_position": 95}, {"identifier": "W67", "position": [5, 4], "step": 95, "ordinal_position": 96}, {"identifier": "D85", "position": [5, 3], "step": 96, "ordinal_position": 97}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 97, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_006.json"}} {"qa_id": "ddb184fa0ce943ddb14654922011e0fe", "image_id": "L3-MazeLoop-test_7x7_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K25, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 60th position in this traversal?", "start_object_id": "K25", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [60], "ordinal_strings": ["60th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "D84", "traversal_path": [{"identifier": "K25", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "W08", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "I07", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "H90", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "W04", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "R39", "position": [5, 2], "step": 5, "ordinal_position": 6}, {"identifier": "D85", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "W67", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "L92", "position": [5, 5], "step": 8, "ordinal_position": 9}, {"identifier": "O83", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "Y98", "position": [3, 5], "step": 10, "ordinal_position": 11}, {"identifier": "D84", "position": [2, 5], "step": 11, "ordinal_position": 12}, {"identifier": "Q79", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "X07", "position": [1, 4], "step": 13, "ordinal_position": 14}, {"identifier": "S23", "position": [1, 3], "step": 14, "ordinal_position": 15}, {"identifier": "D60", "position": [1, 2], "step": 15, "ordinal_position": 16}, {"identifier": "K25", "position": [1, 1], "step": 16, "ordinal_position": 17}, {"identifier": "W08", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "I07", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "H90", "position": [4, 1], "step": 19, "ordinal_position": 20}, {"identifier": "W04", "position": [5, 1], "step": 20, "ordinal_position": 21}, {"identifier": "R39", "position": [5, 2], "step": 21, "ordinal_position": 22}, {"identifier": "D85", "position": [5, 3], "step": 22, "ordinal_position": 23}, {"identifier": "W67", "position": [5, 4], "step": 23, "ordinal_position": 24}, {"identifier": "L92", "position": [5, 5], "step": 24, "ordinal_position": 25}, {"identifier": "O83", "position": [4, 5], "step": 25, "ordinal_position": 26}, {"identifier": "Y98", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "D84", "position": [2, 5], "step": 27, "ordinal_position": 28}, {"identifier": "Q79", "position": [1, 5], "step": 28, "ordinal_position": 29}, {"identifier": "X07", "position": [1, 4], "step": 29, "ordinal_position": 30}, {"identifier": "S23", "position": [1, 3], "step": 30, "ordinal_position": 31}, {"identifier": "D60", "position": [1, 2], "step": 31, "ordinal_position": 32}, {"identifier": "K25", "position": [1, 1], "step": 32, "ordinal_position": 33}, {"identifier": "W08", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "I07", "position": [3, 1], "step": 34, "ordinal_position": 35}, {"identifier": "H90", "position": [4, 1], "step": 35, "ordinal_position": 36}, {"identifier": "W04", "position": [5, 1], "step": 36, "ordinal_position": 37}, {"identifier": "R39", "position": [5, 2], "step": 37, "ordinal_position": 38}, {"identifier": "D85", "position": [5, 3], "step": 38, "ordinal_position": 39}, {"identifier": "W67", "position": [5, 4], "step": 39, "ordinal_position": 40}, {"identifier": "L92", "position": [5, 5], "step": 40, "ordinal_position": 41}, {"identifier": "O83", "position": [4, 5], "step": 41, "ordinal_position": 42}, {"identifier": "Y98", "position": [3, 5], "step": 42, "ordinal_position": 43}, {"identifier": "D84", "position": [2, 5], "step": 43, "ordinal_position": 44}, {"identifier": "Q79", "position": [1, 5], "step": 44, "ordinal_position": 45}, {"identifier": "X07", "position": [1, 4], "step": 45, "ordinal_position": 46}, {"identifier": "S23", "position": [1, 3], "step": 46, "ordinal_position": 47}, {"identifier": "D60", "position": [1, 2], "step": 47, "ordinal_position": 48}, {"identifier": "K25", "position": [1, 1], "step": 48, "ordinal_position": 49}, {"identifier": "W08", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "I07", "position": [3, 1], "step": 50, "ordinal_position": 51}, {"identifier": "H90", "position": [4, 1], "step": 51, "ordinal_position": 52}, {"identifier": "W04", "position": [5, 1], "step": 52, "ordinal_position": 53}, {"identifier": "R39", "position": [5, 2], "step": 53, "ordinal_position": 54}, {"identifier": "D85", "position": [5, 3], "step": 54, "ordinal_position": 55}, {"identifier": "W67", "position": [5, 4], "step": 55, "ordinal_position": 56}, {"identifier": "L92", "position": [5, 5], "step": 56, "ordinal_position": 57}, {"identifier": "O83", "position": [4, 5], "step": 57, "ordinal_position": 58}, {"identifier": "Y98", "position": [3, 5], "step": 58, "ordinal_position": 59}, {"identifier": "D84", "position": [2, 5], "step": 59, "ordinal_position": 60}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 60, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_006.json"}} {"qa_id": "dbfc053f3c2f470aa4a1128706fab594", "image_id": "L3-MazeLoop-test_7x7_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K25, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 291st position in this traversal?", "start_object_id": "K25", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [291], "ordinal_strings": ["291st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "I07", "traversal_path": [{"identifier": "K25", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "W08", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "I07", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "H90", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "W04", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "R39", "position": [5, 2], "step": 5, "ordinal_position": 6}, {"identifier": "D85", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "W67", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "L92", "position": [5, 5], "step": 8, "ordinal_position": 9}, {"identifier": "O83", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "Y98", "position": [3, 5], "step": 10, "ordinal_position": 11}, {"identifier": "D84", "position": [2, 5], "step": 11, "ordinal_position": 12}, {"identifier": "Q79", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "X07", "position": [1, 4], "step": 13, "ordinal_position": 14}, {"identifier": "S23", "position": [1, 3], "step": 14, "ordinal_position": 15}, {"identifier": "D60", "position": [1, 2], "step": 15, "ordinal_position": 16}, {"identifier": "K25", "position": [1, 1], "step": 16, "ordinal_position": 17}, {"identifier": "W08", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "I07", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "H90", "position": [4, 1], "step": 19, "ordinal_position": 20}, {"identifier": "W04", "position": [5, 1], "step": 20, "ordinal_position": 21}, {"identifier": "R39", "position": [5, 2], "step": 21, "ordinal_position": 22}, {"identifier": "D85", "position": [5, 3], "step": 22, "ordinal_position": 23}, {"identifier": "W67", "position": [5, 4], "step": 23, "ordinal_position": 24}, {"identifier": "L92", "position": [5, 5], "step": 24, "ordinal_position": 25}, {"identifier": "O83", "position": [4, 5], "step": 25, "ordinal_position": 26}, {"identifier": "Y98", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "D84", "position": [2, 5], "step": 27, "ordinal_position": 28}, {"identifier": "Q79", "position": [1, 5], "step": 28, "ordinal_position": 29}, {"identifier": "X07", "position": [1, 4], "step": 29, "ordinal_position": 30}, {"identifier": "S23", "position": [1, 3], "step": 30, "ordinal_position": 31}, {"identifier": "D60", "position": [1, 2], "step": 31, "ordinal_position": 32}, {"identifier": "K25", "position": [1, 1], "step": 32, "ordinal_position": 33}, {"identifier": "W08", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "I07", "position": [3, 1], "step": 34, "ordinal_position": 35}, {"identifier": "H90", "position": [4, 1], "step": 35, "ordinal_position": 36}, {"identifier": "W04", "position": [5, 1], "step": 36, "ordinal_position": 37}, {"identifier": "R39", "position": [5, 2], "step": 37, "ordinal_position": 38}, {"identifier": "D85", "position": [5, 3], "step": 38, "ordinal_position": 39}, {"identifier": "W67", "position": [5, 4], "step": 39, "ordinal_position": 40}, {"identifier": "L92", "position": [5, 5], "step": 40, "ordinal_position": 41}, {"identifier": "O83", "position": [4, 5], "step": 41, "ordinal_position": 42}, {"identifier": "Y98", "position": [3, 5], "step": 42, "ordinal_position": 43}, {"identifier": "D84", "position": [2, 5], "step": 43, "ordinal_position": 44}, {"identifier": "Q79", "position": [1, 5], "step": 44, "ordinal_position": 45}, {"identifier": "X07", "position": [1, 4], "step": 45, "ordinal_position": 46}, {"identifier": "S23", "position": [1, 3], "step": 46, "ordinal_position": 47}, {"identifier": "D60", "position": [1, 2], "step": 47, "ordinal_position": 48}, {"identifier": "K25", "position": [1, 1], "step": 48, "ordinal_position": 49}, {"identifier": "W08", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "I07", "position": [3, 1], "step": 50, "ordinal_position": 51}, {"identifier": "H90", "position": [4, 1], "step": 51, "ordinal_position": 52}, {"identifier": "W04", "position": [5, 1], "step": 52, "ordinal_position": 53}, {"identifier": "R39", "position": [5, 2], "step": 53, "ordinal_position": 54}, {"identifier": "D85", "position": [5, 3], "step": 54, "ordinal_position": 55}, {"identifier": "W67", "position": [5, 4], "step": 55, "ordinal_position": 56}, {"identifier": "L92", "position": [5, 5], "step": 56, "ordinal_position": 57}, {"identifier": "O83", "position": [4, 5], "step": 57, "ordinal_position": 58}, {"identifier": "Y98", "position": [3, 5], "step": 58, "ordinal_position": 59}, {"identifier": "D84", "position": [2, 5], "step": 59, "ordinal_position": 60}, {"identifier": "Q79", "position": [1, 5], "step": 60, "ordinal_position": 61}, {"identifier": "X07", "position": [1, 4], "step": 61, "ordinal_position": 62}, {"identifier": "S23", "position": [1, 3], "step": 62, "ordinal_position": 63}, {"identifier": "D60", "position": [1, 2], "step": 63, "ordinal_position": 64}, {"identifier": "K25", "position": [1, 1], "step": 64, "ordinal_position": 65}, {"identifier": "W08", "position": [2, 1], "step": 65, "ordinal_position": 66}, {"identifier": "I07", "position": [3, 1], "step": 66, "ordinal_position": 67}, {"identifier": "H90", "position": [4, 1], "step": 67, "ordinal_position": 68}, {"identifier": "W04", "position": [5, 1], "step": 68, "ordinal_position": 69}, {"identifier": "R39", "position": [5, 2], "step": 69, "ordinal_position": 70}, {"identifier": "D85", "position": [5, 3], "step": 70, "ordinal_position": 71}, {"identifier": "W67", "position": [5, 4], "step": 71, "ordinal_position": 72}, {"identifier": "L92", "position": [5, 5], "step": 72, "ordinal_position": 73}, {"identifier": "O83", "position": [4, 5], "step": 73, "ordinal_position": 74}, {"identifier": "Y98", "position": [3, 5], "step": 74, "ordinal_position": 75}, {"identifier": "D84", "position": [2, 5], "step": 75, "ordinal_position": 76}, {"identifier": "Q79", "position": [1, 5], "step": 76, "ordinal_position": 77}, {"identifier": "X07", "position": [1, 4], "step": 77, "ordinal_position": 78}, {"identifier": "S23", "position": [1, 3], "step": 78, "ordinal_position": 79}, {"identifier": "D60", "position": [1, 2], "step": 79, "ordinal_position": 80}, {"identifier": "K25", "position": [1, 1], "step": 80, "ordinal_position": 81}, {"identifier": "W08", "position": [2, 1], "step": 81, "ordinal_position": 82}, {"identifier": "I07", "position": [3, 1], "step": 82, "ordinal_position": 83}, {"identifier": "H90", "position": [4, 1], "step": 83, "ordinal_position": 84}, {"identifier": "W04", "position": [5, 1], "step": 84, "ordinal_position": 85}, {"identifier": "R39", "position": [5, 2], "step": 85, "ordinal_position": 86}, {"identifier": "D85", "position": [5, 3], "step": 86, "ordinal_position": 87}, {"identifier": "W67", "position": [5, 4], "step": 87, "ordinal_position": 88}, {"identifier": "L92", "position": [5, 5], "step": 88, "ordinal_position": 89}, {"identifier": "O83", "position": [4, 5], "step": 89, "ordinal_position": 90}, {"identifier": "Y98", "position": [3, 5], "step": 90, "ordinal_position": 91}, {"identifier": "D84", "position": [2, 5], "step": 91, "ordinal_position": 92}, {"identifier": "Q79", "position": [1, 5], "step": 92, "ordinal_position": 93}, {"identifier": "X07", "position": [1, 4], "step": 93, "ordinal_position": 94}, {"identifier": "S23", "position": [1, 3], "step": 94, "ordinal_position": 95}, {"identifier": "D60", "position": [1, 2], "step": 95, "ordinal_position": 96}, {"identifier": "K25", "position": [1, 1], "step": 96, "ordinal_position": 97}, {"identifier": "W08", "position": [2, 1], "step": 97, "ordinal_position": 98}, {"identifier": "I07", "position": [3, 1], "step": 98, "ordinal_position": 99}, {"identifier": "H90", "position": [4, 1], "step": 99, "ordinal_position": 100}, {"identifier": "W04", "position": [5, 1], "step": 100, "ordinal_position": 101}, {"identifier": "R39", "position": [5, 2], "step": 101, "ordinal_position": 102}, {"identifier": "D85", "position": [5, 3], "step": 102, "ordinal_position": 103}, {"identifier": "W67", "position": [5, 4], "step": 103, "ordinal_position": 104}, {"identifier": "L92", "position": [5, 5], "step": 104, "ordinal_position": 105}, {"identifier": "O83", "position": [4, 5], "step": 105, "ordinal_position": 106}, {"identifier": "Y98", "position": [3, 5], "step": 106, "ordinal_position": 107}, {"identifier": "D84", "position": [2, 5], "step": 107, "ordinal_position": 108}, {"identifier": "Q79", "position": [1, 5], "step": 108, "ordinal_position": 109}, {"identifier": "X07", "position": [1, 4], "step": 109, "ordinal_position": 110}, {"identifier": "S23", "position": [1, 3], "step": 110, "ordinal_position": 111}, {"identifier": "D60", "position": [1, 2], "step": 111, "ordinal_position": 112}, {"identifier": "K25", "position": [1, 1], "step": 112, "ordinal_position": 113}, {"identifier": "W08", "position": [2, 1], "step": 113, "ordinal_position": 114}, {"identifier": "I07", "position": [3, 1], "step": 114, "ordinal_position": 115}, {"identifier": "H90", "position": [4, 1], "step": 115, "ordinal_position": 116}, {"identifier": "W04", "position": [5, 1], "step": 116, "ordinal_position": 117}, {"identifier": "R39", "position": [5, 2], "step": 117, "ordinal_position": 118}, {"identifier": "D85", "position": [5, 3], "step": 118, "ordinal_position": 119}, {"identifier": "W67", "position": [5, 4], "step": 119, "ordinal_position": 120}, {"identifier": "L92", "position": [5, 5], "step": 120, "ordinal_position": 121}, {"identifier": "O83", "position": [4, 5], "step": 121, "ordinal_position": 122}, {"identifier": "Y98", "position": [3, 5], "step": 122, "ordinal_position": 123}, {"identifier": "D84", "position": [2, 5], "step": 123, "ordinal_position": 124}, {"identifier": "Q79", "position": [1, 5], "step": 124, "ordinal_position": 125}, {"identifier": "X07", "position": [1, 4], "step": 125, "ordinal_position": 126}, {"identifier": "S23", "position": [1, 3], "step": 126, "ordinal_position": 127}, {"identifier": "D60", "position": [1, 2], "step": 127, "ordinal_position": 128}, {"identifier": "K25", "position": [1, 1], "step": 128, "ordinal_position": 129}, {"identifier": "W08", "position": [2, 1], "step": 129, "ordinal_position": 130}, {"identifier": "I07", "position": [3, 1], "step": 130, "ordinal_position": 131}, {"identifier": "H90", "position": [4, 1], "step": 131, "ordinal_position": 132}, {"identifier": "W04", "position": [5, 1], "step": 132, "ordinal_position": 133}, {"identifier": "R39", "position": [5, 2], "step": 133, "ordinal_position": 134}, {"identifier": "D85", "position": [5, 3], "step": 134, "ordinal_position": 135}, {"identifier": "W67", "position": [5, 4], "step": 135, "ordinal_position": 136}, {"identifier": "L92", "position": [5, 5], "step": 136, "ordinal_position": 137}, {"identifier": "O83", "position": [4, 5], "step": 137, "ordinal_position": 138}, {"identifier": "Y98", "position": [3, 5], "step": 138, "ordinal_position": 139}, {"identifier": "D84", "position": [2, 5], "step": 139, "ordinal_position": 140}, {"identifier": "Q79", "position": [1, 5], "step": 140, "ordinal_position": 141}, {"identifier": "X07", "position": [1, 4], "step": 141, "ordinal_position": 142}, {"identifier": "S23", "position": [1, 3], "step": 142, "ordinal_position": 143}, {"identifier": "D60", "position": [1, 2], "step": 143, "ordinal_position": 144}, {"identifier": "K25", "position": [1, 1], "step": 144, "ordinal_position": 145}, {"identifier": "W08", "position": [2, 1], "step": 145, "ordinal_position": 146}, {"identifier": "I07", "position": [3, 1], "step": 146, "ordinal_position": 147}, {"identifier": "H90", "position": [4, 1], "step": 147, "ordinal_position": 148}, {"identifier": "W04", "position": [5, 1], "step": 148, "ordinal_position": 149}, {"identifier": "R39", "position": [5, 2], "step": 149, "ordinal_position": 150}, {"identifier": "D85", "position": [5, 3], "step": 150, "ordinal_position": 151}, {"identifier": "W67", "position": [5, 4], "step": 151, "ordinal_position": 152}, {"identifier": "L92", "position": [5, 5], "step": 152, "ordinal_position": 153}, {"identifier": "O83", "position": [4, 5], "step": 153, "ordinal_position": 154}, {"identifier": "Y98", "position": [3, 5], "step": 154, "ordinal_position": 155}, {"identifier": "D84", "position": [2, 5], "step": 155, "ordinal_position": 156}, {"identifier": "Q79", "position": [1, 5], "step": 156, "ordinal_position": 157}, {"identifier": "X07", "position": [1, 4], "step": 157, "ordinal_position": 158}, {"identifier": "S23", "position": [1, 3], "step": 158, "ordinal_position": 159}, {"identifier": "D60", "position": [1, 2], "step": 159, "ordinal_position": 160}, {"identifier": "K25", "position": [1, 1], "step": 160, "ordinal_position": 161}, {"identifier": "W08", "position": [2, 1], "step": 161, "ordinal_position": 162}, {"identifier": "I07", "position": [3, 1], "step": 162, "ordinal_position": 163}, {"identifier": "H90", 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175, "ordinal_position": 176}, {"identifier": "K25", "position": [1, 1], "step": 176, "ordinal_position": 177}, {"identifier": "W08", "position": [2, 1], "step": 177, "ordinal_position": 178}, {"identifier": "I07", "position": [3, 1], "step": 178, "ordinal_position": 179}, {"identifier": "H90", "position": [4, 1], "step": 179, "ordinal_position": 180}, {"identifier": "W04", "position": [5, 1], "step": 180, "ordinal_position": 181}, {"identifier": "R39", "position": [5, 2], "step": 181, "ordinal_position": 182}, {"identifier": "D85", "position": [5, 3], "step": 182, "ordinal_position": 183}, {"identifier": "W67", "position": [5, 4], "step": 183, "ordinal_position": 184}, {"identifier": "L92", "position": [5, 5], "step": 184, "ordinal_position": 185}, {"identifier": "O83", "position": [4, 5], "step": 185, "ordinal_position": 186}, {"identifier": "Y98", "position": [3, 5], "step": 186, "ordinal_position": 187}, {"identifier": "D84", "position": [2, 5], "step": 187, "ordinal_position": 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"position": [5, 5], "step": 200, "ordinal_position": 201}, {"identifier": "O83", "position": [4, 5], "step": 201, "ordinal_position": 202}, {"identifier": "Y98", "position": [3, 5], "step": 202, "ordinal_position": 203}, {"identifier": "D84", "position": [2, 5], "step": 203, "ordinal_position": 204}, {"identifier": "Q79", "position": [1, 5], "step": 204, "ordinal_position": 205}, {"identifier": "X07", "position": [1, 4], "step": 205, "ordinal_position": 206}, {"identifier": "S23", "position": [1, 3], "step": 206, "ordinal_position": 207}, {"identifier": "D60", "position": [1, 2], "step": 207, "ordinal_position": 208}, {"identifier": "K25", "position": [1, 1], "step": 208, "ordinal_position": 209}, {"identifier": "W08", "position": [2, 1], "step": 209, "ordinal_position": 210}, {"identifier": "I07", "position": [3, 1], "step": 210, "ordinal_position": 211}, {"identifier": "H90", "position": [4, 1], "step": 211, "ordinal_position": 212}, {"identifier": "W04", "position": [5, 1], "step": 212, "ordinal_position": 213}, {"identifier": "R39", "position": [5, 2], "step": 213, "ordinal_position": 214}, {"identifier": "D85", "position": [5, 3], "step": 214, "ordinal_position": 215}, {"identifier": "W67", "position": [5, 4], "step": 215, "ordinal_position": 216}, {"identifier": "L92", "position": [5, 5], "step": 216, "ordinal_position": 217}, {"identifier": "O83", "position": [4, 5], "step": 217, "ordinal_position": 218}, {"identifier": "Y98", "position": [3, 5], "step": 218, "ordinal_position": 219}, {"identifier": "D84", "position": [2, 5], "step": 219, "ordinal_position": 220}, {"identifier": "Q79", "position": [1, 5], "step": 220, "ordinal_position": 221}, {"identifier": "X07", "position": [1, 4], "step": 221, "ordinal_position": 222}, {"identifier": "S23", "position": [1, 3], "step": 222, "ordinal_position": 223}, {"identifier": "D60", "position": [1, 2], "step": 223, "ordinal_position": 224}, {"identifier": "K25", "position": [1, 1], "step": 224, "ordinal_position": 225}, {"identifier": "W08", "position": [2, 1], "step": 225, "ordinal_position": 226}, {"identifier": "I07", "position": [3, 1], "step": 226, "ordinal_position": 227}, {"identifier": "H90", "position": [4, 1], "step": 227, "ordinal_position": 228}, {"identifier": "W04", "position": [5, 1], "step": 228, "ordinal_position": 229}, {"identifier": "R39", "position": [5, 2], "step": 229, "ordinal_position": 230}, {"identifier": "D85", "position": [5, 3], "step": 230, "ordinal_position": 231}, {"identifier": "W67", "position": [5, 4], "step": 231, "ordinal_position": 232}, {"identifier": "L92", "position": [5, 5], "step": 232, "ordinal_position": 233}, {"identifier": "O83", "position": [4, 5], "step": 233, "ordinal_position": 234}, {"identifier": "Y98", "position": [3, 5], "step": 234, "ordinal_position": 235}, {"identifier": "D84", "position": [2, 5], "step": 235, "ordinal_position": 236}, {"identifier": "Q79", "position": [1, 5], "step": 236, "ordinal_position": 237}, {"identifier": "X07", "position": [1, 4], "step": 237, "ordinal_position": 238}, {"identifier": "S23", "position": [1, 3], "step": 238, "ordinal_position": 239}, {"identifier": "D60", "position": [1, 2], "step": 239, "ordinal_position": 240}, {"identifier": "K25", "position": [1, 1], "step": 240, "ordinal_position": 241}, {"identifier": "W08", "position": [2, 1], "step": 241, "ordinal_position": 242}, {"identifier": "I07", "position": [3, 1], "step": 242, "ordinal_position": 243}, {"identifier": "H90", "position": [4, 1], "step": 243, "ordinal_position": 244}, {"identifier": "W04", "position": [5, 1], "step": 244, "ordinal_position": 245}, {"identifier": "R39", "position": [5, 2], "step": 245, "ordinal_position": 246}, {"identifier": "D85", "position": [5, 3], "step": 246, "ordinal_position": 247}, {"identifier": "W67", "position": [5, 4], "step": 247, "ordinal_position": 248}, {"identifier": "L92", "position": [5, 5], "step": 248, "ordinal_position": 249}, {"identifier": "O83", "position": [4, 5], "step": 249, "ordinal_position": 250}, {"identifier": "Y98", "position": [3, 5], "step": 250, "ordinal_position": 251}, {"identifier": "D84", "position": [2, 5], "step": 251, "ordinal_position": 252}, {"identifier": "Q79", "position": [1, 5], "step": 252, "ordinal_position": 253}, {"identifier": "X07", "position": [1, 4], "step": 253, "ordinal_position": 254}, {"identifier": "S23", "position": [1, 3], "step": 254, "ordinal_position": 255}, {"identifier": "D60", "position": [1, 2], "step": 255, "ordinal_position": 256}, {"identifier": "K25", "position": [1, 1], "step": 256, "ordinal_position": 257}, {"identifier": "W08", "position": [2, 1], "step": 257, "ordinal_position": 258}, {"identifier": "I07", "position": [3, 1], "step": 258, "ordinal_position": 259}, {"identifier": "H90", "position": [4, 1], "step": 259, "ordinal_position": 260}, {"identifier": "W04", "position": [5, 1], "step": 260, "ordinal_position": 261}, {"identifier": "R39", "position": [5, 2], "step": 261, "ordinal_position": 262}, {"identifier": "D85", "position": [5, 3], "step": 262, "ordinal_position": 263}, {"identifier": "W67", "position": [5, 4], "step": 263, "ordinal_position": 264}, {"identifier": "L92", "position": [5, 5], "step": 264, "ordinal_position": 265}, {"identifier": "O83", "position": [4, 5], "step": 265, "ordinal_position": 266}, {"identifier": "Y98", "position": [3, 5], "step": 266, "ordinal_position": 267}, {"identifier": "D84", "position": [2, 5], "step": 267, "ordinal_position": 268}, {"identifier": "Q79", "position": [1, 5], "step": 268, "ordinal_position": 269}, {"identifier": "X07", "position": [1, 4], "step": 269, "ordinal_position": 270}, {"identifier": "S23", "position": [1, 3], "step": 270, "ordinal_position": 271}, {"identifier": "D60", "position": [1, 2], "step": 271, "ordinal_position": 272}, {"identifier": "K25", "position": [1, 1], "step": 272, "ordinal_position": 273}, {"identifier": "W08", "position": [2, 1], "step": 273, "ordinal_position": 274}, {"identifier": "I07", "position": [3, 1], "step": 274, "ordinal_position": 275}, {"identifier": "H90", "position": [4, 1], "step": 275, "ordinal_position": 276}, {"identifier": "W04", "position": [5, 1], "step": 276, "ordinal_position": 277}, {"identifier": "R39", "position": [5, 2], "step": 277, "ordinal_position": 278}, {"identifier": "D85", "position": [5, 3], "step": 278, "ordinal_position": 279}, {"identifier": "W67", "position": [5, 4], "step": 279, "ordinal_position": 280}, {"identifier": "L92", "position": [5, 5], "step": 280, "ordinal_position": 281}, {"identifier": "O83", "position": [4, 5], "step": 281, "ordinal_position": 282}, {"identifier": "Y98", "position": [3, 5], "step": 282, "ordinal_position": 283}, {"identifier": "D84", "position": [2, 5], "step": 283, "ordinal_position": 284}, {"identifier": "Q79", "position": [1, 5], "step": 284, "ordinal_position": 285}, {"identifier": "X07", "position": [1, 4], "step": 285, "ordinal_position": 286}, {"identifier": "S23", "position": [1, 3], "step": 286, "ordinal_position": 287}, {"identifier": "D60", "position": [1, 2], "step": 287, "ordinal_position": 288}, {"identifier": "K25", "position": [1, 1], "step": 288, "ordinal_position": 289}, {"identifier": "W08", "position": [2, 1], "step": 289, "ordinal_position": 290}, {"identifier": "I07", "position": [3, 1], "step": 290, "ordinal_position": 291}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 291, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_006.json"}} {"qa_id": "062de32e571e4fe4aec4f642f644fd61", "image_id": "L3-MazeLoop-test_7x7_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H90, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 200th position in this traversal?", "start_object_id": "H90", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [200], "ordinal_strings": ["200th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Q79", "traversal_path": [{"identifier": "H90", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "I07", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "W08", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "K25", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "D60", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "S23", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "X07", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "Q79", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "D84", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "Y98", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "O83", "position": [4, 5], "step": 10, "ordinal_position": 11}, {"identifier": "L92", "position": [5, 5], "step": 11, "ordinal_position": 12}, {"identifier": "W67", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "D85", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "R39", "position": [5, 2], "step": 14, "ordinal_position": 15}, {"identifier": "W04", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "H90", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "I07", "position": [3, 1], "step": 17, "ordinal_position": 18}, {"identifier": "W08", "position": [2, 1], "step": 18, "ordinal_position": 19}, {"identifier": "K25", "position": [1, 1], "step": 19, "ordinal_position": 20}, {"identifier": "D60", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "S23", "position": [1, 3], "step": 21, "ordinal_position": 22}, {"identifier": "X07", "position": [1, 4], "step": 22, "ordinal_position": 23}, {"identifier": "Q79", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "D84", "position": [2, 5], "step": 24, "ordinal_position": 25}, {"identifier": "Y98", "position": [3, 5], "step": 25, "ordinal_position": 26}, {"identifier": "O83", "position": [4, 5], "step": 26, "ordinal_position": 27}, {"identifier": "L92", "position": [5, 5], "step": 27, "ordinal_position": 28}, {"identifier": "W67", "position": [5, 4], "step": 28, "ordinal_position": 29}, {"identifier": "D85", "position": [5, 3], "step": 29, "ordinal_position": 30}, {"identifier": "R39", "position": [5, 2], "step": 30, "ordinal_position": 31}, {"identifier": "W04", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "H90", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "I07", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "W08", "position": [2, 1], "step": 34, "ordinal_position": 35}, {"identifier": "K25", "position": [1, 1], "step": 35, "ordinal_position": 36}, {"identifier": "D60", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "S23", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "X07", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "Q79", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "D84", "position": [2, 5], "step": 40, "ordinal_position": 41}, {"identifier": "Y98", "position": [3, 5], "step": 41, "ordinal_position": 42}, {"identifier": "O83", "position": [4, 5], "step": 42, "ordinal_position": 43}, {"identifier": "L92", "position": [5, 5], "step": 43, "ordinal_position": 44}, {"identifier": "W67", "position": [5, 4], "step": 44, "ordinal_position": 45}, {"identifier": "D85", "position": [5, 3], "step": 45, "ordinal_position": 46}, {"identifier": "R39", "position": [5, 2], "step": 46, "ordinal_position": 47}, {"identifier": "W04", "position": [5, 1], "step": 47, "ordinal_position": 48}, {"identifier": "H90", "position": [4, 1], "step": 48, "ordinal_position": 49}, {"identifier": "I07", "position": [3, 1], "step": 49, "ordinal_position": 50}, {"identifier": "W08", "position": [2, 1], "step": 50, "ordinal_position": 51}, {"identifier": "K25", "position": [1, 1], "step": 51, "ordinal_position": 52}, {"identifier": "D60", "position": [1, 2], "step": 52, "ordinal_position": 53}, {"identifier": "S23", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "X07", "position": [1, 4], "step": 54, "ordinal_position": 55}, {"identifier": "Q79", "position": [1, 5], "step": 55, "ordinal_position": 56}, {"identifier": "D84", "position": [2, 5], "step": 56, "ordinal_position": 57}, {"identifier": "Y98", "position": [3, 5], "step": 57, "ordinal_position": 58}, {"identifier": "O83", "position": [4, 5], "step": 58, "ordinal_position": 59}, {"identifier": "L92", "position": [5, 5], "step": 59, "ordinal_position": 60}, {"identifier": "W67", "position": [5, 4], "step": 60, "ordinal_position": 61}, {"identifier": "D85", "position": [5, 3], "step": 61, "ordinal_position": 62}, {"identifier": "R39", "position": [5, 2], "step": 62, "ordinal_position": 63}, {"identifier": "W04", "position": [5, 1], "step": 63, "ordinal_position": 64}, {"identifier": "H90", "position": [4, 1], "step": 64, "ordinal_position": 65}, {"identifier": "I07", "position": [3, 1], "step": 65, "ordinal_position": 66}, {"identifier": "W08", "position": [2, 1], "step": 66, "ordinal_position": 67}, {"identifier": "K25", "position": [1, 1], "step": 67, "ordinal_position": 68}, {"identifier": "D60", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "S23", "position": [1, 3], "step": 69, "ordinal_position": 70}, {"identifier": "X07", "position": [1, 4], "step": 70, "ordinal_position": 71}, {"identifier": "Q79", "position": [1, 5], "step": 71, "ordinal_position": 72}, {"identifier": "D84", "position": [2, 5], "step": 72, "ordinal_position": 73}, {"identifier": "Y98", "position": [3, 5], "step": 73, "ordinal_position": 74}, {"identifier": "O83", "position": [4, 5], "step": 74, "ordinal_position": 75}, {"identifier": "L92", "position": [5, 5], "step": 75, "ordinal_position": 76}, {"identifier": "W67", "position": [5, 4], "step": 76, "ordinal_position": 77}, {"identifier": "D85", "position": [5, 3], "step": 77, "ordinal_position": 78}, {"identifier": "R39", "position": [5, 2], "step": 78, "ordinal_position": 79}, {"identifier": "W04", "position": [5, 1], "step": 79, "ordinal_position": 80}, {"identifier": "H90", "position": [4, 1], "step": 80, "ordinal_position": 81}, {"identifier": "I07", "position": [3, 1], "step": 81, "ordinal_position": 82}, {"identifier": "W08", "position": [2, 1], "step": 82, "ordinal_position": 83}, {"identifier": "K25", "position": [1, 1], "step": 83, "ordinal_position": 84}, {"identifier": "D60", "position": [1, 2], "step": 84, "ordinal_position": 85}, {"identifier": "S23", "position": [1, 3], "step": 85, "ordinal_position": 86}, {"identifier": "X07", "position": [1, 4], "step": 86, "ordinal_position": 87}, {"identifier": "Q79", "position": [1, 5], "step": 87, "ordinal_position": 88}, {"identifier": "D84", "position": [2, 5], "step": 88, "ordinal_position": 89}, {"identifier": "Y98", "position": [3, 5], "step": 89, "ordinal_position": 90}, {"identifier": "O83", "position": [4, 5], "step": 90, "ordinal_position": 91}, {"identifier": "L92", "position": [5, 5], "step": 91, "ordinal_position": 92}, {"identifier": "W67", "position": [5, 4], "step": 92, "ordinal_position": 93}, {"identifier": "D85", "position": [5, 3], "step": 93, "ordinal_position": 94}, {"identifier": "R39", "position": [5, 2], "step": 94, "ordinal_position": 95}, {"identifier": "W04", "position": [5, 1], "step": 95, "ordinal_position": 96}, {"identifier": "H90", "position": [4, 1], "step": 96, "ordinal_position": 97}, {"identifier": "I07", "position": [3, 1], "step": 97, "ordinal_position": 98}, {"identifier": "W08", "position": [2, 1], "step": 98, "ordinal_position": 99}, {"identifier": "K25", "position": [1, 1], "step": 99, "ordinal_position": 100}, {"identifier": "D60", "position": [1, 2], "step": 100, "ordinal_position": 101}, {"identifier": "S23", "position": [1, 3], "step": 101, "ordinal_position": 102}, {"identifier": "X07", "position": [1, 4], "step": 102, "ordinal_position": 103}, {"identifier": "Q79", "position": [1, 5], "step": 103, "ordinal_position": 104}, {"identifier": "D84", "position": [2, 5], "step": 104, "ordinal_position": 105}, {"identifier": "Y98", "position": [3, 5], "step": 105, "ordinal_position": 106}, {"identifier": "O83", "position": [4, 5], "step": 106, "ordinal_position": 107}, {"identifier": "L92", "position": [5, 5], "step": 107, "ordinal_position": 108}, {"identifier": "W67", "position": [5, 4], "step": 108, "ordinal_position": 109}, {"identifier": "D85", "position": [5, 3], "step": 109, "ordinal_position": 110}, {"identifier": "R39", "position": [5, 2], "step": 110, "ordinal_position": 111}, {"identifier": "W04", "position": [5, 1], "step": 111, "ordinal_position": 112}, {"identifier": "H90", "position": [4, 1], "step": 112, "ordinal_position": 113}, {"identifier": "I07", "position": [3, 1], "step": 113, "ordinal_position": 114}, {"identifier": "W08", "position": [2, 1], "step": 114, "ordinal_position": 115}, {"identifier": "K25", "position": [1, 1], "step": 115, "ordinal_position": 116}, {"identifier": "D60", "position": [1, 2], "step": 116, "ordinal_position": 117}, {"identifier": "S23", "position": [1, 3], "step": 117, "ordinal_position": 118}, {"identifier": "X07", "position": [1, 4], "step": 118, "ordinal_position": 119}, {"identifier": "Q79", "position": [1, 5], "step": 119, "ordinal_position": 120}, {"identifier": "D84", "position": [2, 5], "step": 120, "ordinal_position": 121}, {"identifier": "Y98", "position": [3, 5], "step": 121, "ordinal_position": 122}, {"identifier": "O83", "position": [4, 5], "step": 122, "ordinal_position": 123}, {"identifier": "L92", "position": [5, 5], "step": 123, "ordinal_position": 124}, {"identifier": "W67", "position": [5, 4], "step": 124, "ordinal_position": 125}, {"identifier": "D85", "position": [5, 3], "step": 125, "ordinal_position": 126}, {"identifier": "R39", "position": [5, 2], "step": 126, "ordinal_position": 127}, {"identifier": "W04", "position": [5, 1], "step": 127, "ordinal_position": 128}, {"identifier": "H90", "position": [4, 1], "step": 128, "ordinal_position": 129}, {"identifier": "I07", "position": [3, 1], "step": 129, "ordinal_position": 130}, {"identifier": "W08", "position": [2, 1], "step": 130, "ordinal_position": 131}, {"identifier": "K25", "position": [1, 1], "step": 131, "ordinal_position": 132}, {"identifier": "D60", "position": [1, 2], "step": 132, "ordinal_position": 133}, {"identifier": "S23", "position": [1, 3], "step": 133, "ordinal_position": 134}, {"identifier": "X07", "position": [1, 4], "step": 134, "ordinal_position": 135}, {"identifier": "Q79", "position": [1, 5], "step": 135, "ordinal_position": 136}, {"identifier": "D84", "position": [2, 5], "step": 136, "ordinal_position": 137}, {"identifier": "Y98", "position": [3, 5], "step": 137, "ordinal_position": 138}, {"identifier": "O83", "position": [4, 5], "step": 138, "ordinal_position": 139}, {"identifier": "L92", "position": [5, 5], "step": 139, "ordinal_position": 140}, {"identifier": "W67", "position": [5, 4], "step": 140, "ordinal_position": 141}, {"identifier": "D85", "position": [5, 3], "step": 141, "ordinal_position": 142}, {"identifier": "R39", "position": [5, 2], "step": 142, "ordinal_position": 143}, {"identifier": "W04", "position": [5, 1], "step": 143, "ordinal_position": 144}, {"identifier": "H90", "position": [4, 1], "step": 144, "ordinal_position": 145}, {"identifier": "I07", "position": [3, 1], "step": 145, "ordinal_position": 146}, {"identifier": "W08", "position": [2, 1], "step": 146, "ordinal_position": 147}, {"identifier": "K25", "position": [1, 1], "step": 147, "ordinal_position": 148}, {"identifier": "D60", "position": [1, 2], "step": 148, "ordinal_position": 149}, {"identifier": "S23", "position": [1, 3], "step": 149, "ordinal_position": 150}, {"identifier": "X07", "position": [1, 4], "step": 150, "ordinal_position": 151}, {"identifier": "Q79", "position": [1, 5], "step": 151, "ordinal_position": 152}, {"identifier": "D84", "position": [2, 5], "step": 152, "ordinal_position": 153}, {"identifier": "Y98", "position": [3, 5], "step": 153, "ordinal_position": 154}, {"identifier": "O83", "position": [4, 5], "step": 154, "ordinal_position": 155}, {"identifier": "L92", "position": [5, 5], "step": 155, "ordinal_position": 156}, {"identifier": "W67", "position": [5, 4], "step": 156, "ordinal_position": 157}, {"identifier": "D85", "position": [5, 3], "step": 157, "ordinal_position": 158}, {"identifier": "R39", "position": [5, 2], "step": 158, "ordinal_position": 159}, {"identifier": "W04", "position": [5, 1], "step": 159, "ordinal_position": 160}, {"identifier": "H90", "position": [4, 1], "step": 160, "ordinal_position": 161}, {"identifier": "I07", "position": [3, 1], "step": 161, "ordinal_position": 162}, {"identifier": "W08", "position": [2, 1], "step": 162, "ordinal_position": 163}, {"identifier": "K25", "position": [1, 1], "step": 163, "ordinal_position": 164}, {"identifier": "D60", "position": [1, 2], "step": 164, "ordinal_position": 165}, {"identifier": "S23", "position": [1, 3], "step": 165, "ordinal_position": 166}, {"identifier": "X07", "position": [1, 4], "step": 166, "ordinal_position": 167}, {"identifier": "Q79", "position": [1, 5], "step": 167, "ordinal_position": 168}, {"identifier": "D84", "position": [2, 5], "step": 168, "ordinal_position": 169}, {"identifier": "Y98", "position": [3, 5], "step": 169, "ordinal_position": 170}, {"identifier": "O83", "position": [4, 5], "step": 170, "ordinal_position": 171}, {"identifier": "L92", "position": [5, 5], "step": 171, "ordinal_position": 172}, {"identifier": "W67", "position": [5, 4], "step": 172, "ordinal_position": 173}, {"identifier": "D85", "position": [5, 3], "step": 173, "ordinal_position": 174}, {"identifier": "R39", "position": [5, 2], "step": 174, "ordinal_position": 175}, {"identifier": "W04", "position": [5, 1], "step": 175, "ordinal_position": 176}, {"identifier": "H90", "position": [4, 1], "step": 176, "ordinal_position": 177}, {"identifier": "I07", "position": [3, 1], "step": 177, "ordinal_position": 178}, {"identifier": "W08", "position": [2, 1], "step": 178, "ordinal_position": 179}, {"identifier": "K25", "position": [1, 1], "step": 179, "ordinal_position": 180}, {"identifier": "D60", "position": [1, 2], "step": 180, "ordinal_position": 181}, {"identifier": "S23", "position": [1, 3], "step": 181, "ordinal_position": 182}, {"identifier": "X07", "position": [1, 4], "step": 182, "ordinal_position": 183}, {"identifier": "Q79", "position": [1, 5], "step": 183, "ordinal_position": 184}, {"identifier": "D84", "position": [2, 5], "step": 184, "ordinal_position": 185}, {"identifier": "Y98", "position": [3, 5], "step": 185, "ordinal_position": 186}, {"identifier": "O83", "position": [4, 5], "step": 186, "ordinal_position": 187}, {"identifier": "L92", "position": [5, 5], "step": 187, "ordinal_position": 188}, {"identifier": "W67", "position": [5, 4], "step": 188, "ordinal_position": 189}, {"identifier": "D85", "position": [5, 3], "step": 189, "ordinal_position": 190}, {"identifier": "R39", "position": [5, 2], "step": 190, "ordinal_position": 191}, {"identifier": "W04", "position": [5, 1], "step": 191, "ordinal_position": 192}, {"identifier": "H90", "position": [4, 1], "step": 192, "ordinal_position": 193}, {"identifier": "I07", "position": [3, 1], "step": 193, "ordinal_position": 194}, {"identifier": "W08", "position": [2, 1], "step": 194, "ordinal_position": 195}, {"identifier": "K25", "position": [1, 1], "step": 195, "ordinal_position": 196}, {"identifier": "D60", "position": [1, 2], "step": 196, "ordinal_position": 197}, {"identifier": "S23", "position": [1, 3], "step": 197, "ordinal_position": 198}, {"identifier": "X07", "position": [1, 4], "step": 198, "ordinal_position": 199}, {"identifier": "Q79", "position": [1, 5], "step": 199, "ordinal_position": 200}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 200, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_006.json"}} {"qa_id": "33908c1064064a808535655b55c8cd8a", "image_id": "L3-MazeLoop-test_7x7_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K87, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 122nd position in this traversal?", "start_object_id": "K87", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [122], "ordinal_strings": ["122nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Y98", "traversal_path": [{"identifier": "K87", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "I07", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "W08", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "K25", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "D60", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "S23", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "X07", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "Q79", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "D84", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "Y98", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "O83", "position": [4, 5], "step": 10, "ordinal_position": 11}, {"identifier": "L92", "position": [5, 5], "step": 11, "ordinal_position": 12}, {"identifier": "W67", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "D85", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "R39", "position": [5, 2], "step": 14, "ordinal_position": 15}, {"identifier": "W04", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "H90", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "I07", "position": [3, 1], "step": 17, "ordinal_position": 18}, {"identifier": "W08", "position": [2, 1], "step": 18, "ordinal_position": 19}, {"identifier": "K25", "position": [1, 1], "step": 19, "ordinal_position": 20}, {"identifier": "D60", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "S23", "position": [1, 3], "step": 21, "ordinal_position": 22}, {"identifier": "X07", "position": [1, 4], "step": 22, "ordinal_position": 23}, {"identifier": "Q79", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "D84", "position": [2, 5], "step": 24, "ordinal_position": 25}, {"identifier": "Y98", "position": [3, 5], "step": 25, "ordinal_position": 26}, {"identifier": "O83", "position": [4, 5], "step": 26, "ordinal_position": 27}, {"identifier": "L92", "position": [5, 5], "step": 27, "ordinal_position": 28}, {"identifier": "W67", "position": [5, 4], "step": 28, "ordinal_position": 29}, {"identifier": "D85", "position": [5, 3], "step": 29, "ordinal_position": 30}, {"identifier": "R39", "position": [5, 2], "step": 30, "ordinal_position": 31}, {"identifier": "W04", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "H90", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "I07", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "W08", "position": [2, 1], "step": 34, "ordinal_position": 35}, {"identifier": "K25", "position": [1, 1], "step": 35, "ordinal_position": 36}, {"identifier": "D60", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "S23", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "X07", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "Q79", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "D84", "position": [2, 5], "step": 40, "ordinal_position": 41}, {"identifier": "Y98", "position": [3, 5], "step": 41, "ordinal_position": 42}, {"identifier": "O83", "position": [4, 5], "step": 42, "ordinal_position": 43}, {"identifier": "L92", "position": [5, 5], "step": 43, "ordinal_position": 44}, {"identifier": "W67", "position": [5, 4], "step": 44, "ordinal_position": 45}, {"identifier": "D85", "position": [5, 3], "step": 45, "ordinal_position": 46}, {"identifier": "R39", "position": [5, 2], "step": 46, "ordinal_position": 47}, {"identifier": "W04", "position": [5, 1], "step": 47, "ordinal_position": 48}, {"identifier": "H90", "position": [4, 1], "step": 48, "ordinal_position": 49}, {"identifier": "I07", "position": [3, 1], "step": 49, "ordinal_position": 50}, {"identifier": "W08", "position": [2, 1], "step": 50, "ordinal_position": 51}, {"identifier": "K25", "position": [1, 1], "step": 51, "ordinal_position": 52}, {"identifier": "D60", "position": [1, 2], "step": 52, "ordinal_position": 53}, {"identifier": "S23", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "X07", "position": [1, 4], "step": 54, "ordinal_position": 55}, {"identifier": "Q79", "position": [1, 5], "step": 55, "ordinal_position": 56}, {"identifier": "D84", "position": [2, 5], "step": 56, "ordinal_position": 57}, {"identifier": "Y98", "position": [3, 5], "step": 57, "ordinal_position": 58}, {"identifier": "O83", "position": [4, 5], "step": 58, "ordinal_position": 59}, {"identifier": "L92", "position": [5, 5], "step": 59, "ordinal_position": 60}, {"identifier": "W67", "position": [5, 4], "step": 60, "ordinal_position": 61}, {"identifier": "D85", "position": [5, 3], "step": 61, "ordinal_position": 62}, {"identifier": "R39", "position": [5, 2], "step": 62, "ordinal_position": 63}, {"identifier": "W04", "position": [5, 1], "step": 63, "ordinal_position": 64}, {"identifier": "H90", "position": [4, 1], "step": 64, "ordinal_position": 65}, {"identifier": "I07", "position": [3, 1], "step": 65, "ordinal_position": 66}, {"identifier": "W08", "position": [2, 1], "step": 66, "ordinal_position": 67}, {"identifier": "K25", "position": [1, 1], "step": 67, "ordinal_position": 68}, {"identifier": "D60", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "S23", "position": [1, 3], "step": 69, "ordinal_position": 70}, {"identifier": "X07", "position": [1, 4], "step": 70, "ordinal_position": 71}, {"identifier": "Q79", "position": [1, 5], "step": 71, "ordinal_position": 72}, {"identifier": "D84", "position": [2, 5], "step": 72, "ordinal_position": 73}, {"identifier": "Y98", "position": [3, 5], "step": 73, "ordinal_position": 74}, {"identifier": "O83", "position": [4, 5], "step": 74, "ordinal_position": 75}, {"identifier": "L92", "position": [5, 5], "step": 75, "ordinal_position": 76}, {"identifier": "W67", "position": [5, 4], "step": 76, "ordinal_position": 77}, {"identifier": "D85", "position": [5, 3], "step": 77, "ordinal_position": 78}, {"identifier": "R39", "position": [5, 2], "step": 78, "ordinal_position": 79}, {"identifier": "W04", "position": [5, 1], "step": 79, "ordinal_position": 80}, {"identifier": "H90", "position": [4, 1], "step": 80, "ordinal_position": 81}, {"identifier": "I07", "position": [3, 1], "step": 81, "ordinal_position": 82}, {"identifier": "W08", "position": [2, 1], "step": 82, "ordinal_position": 83}, {"identifier": "K25", "position": [1, 1], "step": 83, "ordinal_position": 84}, {"identifier": "D60", "position": [1, 2], "step": 84, "ordinal_position": 85}, {"identifier": "S23", "position": [1, 3], "step": 85, "ordinal_position": 86}, {"identifier": "X07", "position": [1, 4], "step": 86, "ordinal_position": 87}, {"identifier": "Q79", "position": [1, 5], "step": 87, "ordinal_position": 88}, {"identifier": "D84", "position": [2, 5], "step": 88, "ordinal_position": 89}, {"identifier": "Y98", "position": [3, 5], "step": 89, "ordinal_position": 90}, {"identifier": "O83", "position": [4, 5], "step": 90, "ordinal_position": 91}, {"identifier": "L92", "position": [5, 5], "step": 91, "ordinal_position": 92}, {"identifier": "W67", "position": [5, 4], "step": 92, "ordinal_position": 93}, {"identifier": "D85", "position": [5, 3], "step": 93, "ordinal_position": 94}, {"identifier": "R39", "position": [5, 2], "step": 94, "ordinal_position": 95}, {"identifier": "W04", "position": [5, 1], "step": 95, "ordinal_position": 96}, {"identifier": "H90", "position": [4, 1], "step": 96, "ordinal_position": 97}, {"identifier": "I07", "position": [3, 1], "step": 97, "ordinal_position": 98}, {"identifier": "W08", "position": [2, 1], "step": 98, "ordinal_position": 99}, {"identifier": "K25", "position": [1, 1], "step": 99, "ordinal_position": 100}, {"identifier": "D60", "position": [1, 2], "step": 100, "ordinal_position": 101}, {"identifier": "S23", "position": [1, 3], "step": 101, "ordinal_position": 102}, {"identifier": "X07", "position": [1, 4], "step": 102, "ordinal_position": 103}, {"identifier": "Q79", "position": [1, 5], "step": 103, "ordinal_position": 104}, {"identifier": "D84", "position": [2, 5], "step": 104, "ordinal_position": 105}, {"identifier": "Y98", "position": [3, 5], "step": 105, "ordinal_position": 106}, {"identifier": "O83", "position": [4, 5], "step": 106, "ordinal_position": 107}, {"identifier": "L92", "position": [5, 5], "step": 107, "ordinal_position": 108}, {"identifier": "W67", "position": [5, 4], "step": 108, "ordinal_position": 109}, {"identifier": "D85", "position": [5, 3], "step": 109, "ordinal_position": 110}, {"identifier": "R39", "position": [5, 2], "step": 110, "ordinal_position": 111}, {"identifier": "W04", "position": [5, 1], "step": 111, "ordinal_position": 112}, {"identifier": "H90", "position": [4, 1], "step": 112, "ordinal_position": 113}, {"identifier": "I07", "position": [3, 1], "step": 113, "ordinal_position": 114}, {"identifier": "W08", "position": [2, 1], "step": 114, "ordinal_position": 115}, {"identifier": "K25", "position": [1, 1], "step": 115, "ordinal_position": 116}, {"identifier": "D60", "position": [1, 2], "step": 116, "ordinal_position": 117}, {"identifier": "S23", "position": [1, 3], "step": 117, "ordinal_position": 118}, {"identifier": "X07", "position": [1, 4], "step": 118, "ordinal_position": 119}, {"identifier": "Q79", "position": [1, 5], "step": 119, "ordinal_position": 120}, {"identifier": "D84", "position": [2, 5], "step": 120, "ordinal_position": 121}, {"identifier": "Y98", "position": [3, 5], "step": 121, "ordinal_position": 122}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 122, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_006.json"}} {"qa_id": "f6335ed07f2e41b8853e6e075c1ec409", "image_id": "L3-MazeLoop-test_7x7_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W67, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 161st position in this traversal?", "start_object_id": "W67", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [161], "ordinal_strings": ["161st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "W67", "traversal_path": [{"identifier": "W67", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "D85", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "R39", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "W04", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "H90", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "I07", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "W08", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "K25", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "D60", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "S23", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "X07", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "Q79", "position": [1, 5], "step": 11, "ordinal_position": 12}, {"identifier": "D84", "position": [2, 5], "step": 12, "ordinal_position": 13}, {"identifier": "Y98", "position": [3, 5], "step": 13, "ordinal_position": 14}, {"identifier": "O83", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "L92", "position": [5, 5], "step": 15, "ordinal_position": 16}, {"identifier": "W67", "position": [5, 4], "step": 16, "ordinal_position": 17}, {"identifier": "D85", "position": [5, 3], "step": 17, "ordinal_position": 18}, {"identifier": "R39", "position": [5, 2], "step": 18, "ordinal_position": 19}, {"identifier": "W04", "position": [5, 1], "step": 19, "ordinal_position": 20}, {"identifier": "H90", "position": [4, 1], "step": 20, "ordinal_position": 21}, {"identifier": "I07", "position": [3, 1], "step": 21, "ordinal_position": 22}, {"identifier": "W08", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "K25", "position": [1, 1], "step": 23, "ordinal_position": 24}, {"identifier": "D60", "position": [1, 2], "step": 24, "ordinal_position": 25}, {"identifier": "S23", "position": [1, 3], "step": 25, "ordinal_position": 26}, {"identifier": "X07", "position": [1, 4], "step": 26, "ordinal_position": 27}, {"identifier": "Q79", "position": [1, 5], "step": 27, "ordinal_position": 28}, {"identifier": "D84", "position": [2, 5], "step": 28, "ordinal_position": 29}, {"identifier": "Y98", "position": [3, 5], "step": 29, "ordinal_position": 30}, {"identifier": "O83", "position": [4, 5], "step": 30, "ordinal_position": 31}, {"identifier": "L92", "position": [5, 5], "step": 31, "ordinal_position": 32}, {"identifier": "W67", "position": [5, 4], "step": 32, "ordinal_position": 33}, {"identifier": "D85", "position": [5, 3], "step": 33, "ordinal_position": 34}, {"identifier": "R39", "position": [5, 2], "step": 34, "ordinal_position": 35}, {"identifier": "W04", "position": [5, 1], "step": 35, "ordinal_position": 36}, {"identifier": "H90", "position": [4, 1], "step": 36, "ordinal_position": 37}, {"identifier": "I07", "position": [3, 1], "step": 37, "ordinal_position": 38}, {"identifier": "W08", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "K25", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "D60", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "S23", "position": [1, 3], "step": 41, "ordinal_position": 42}, {"identifier": "X07", "position": [1, 4], "step": 42, "ordinal_position": 43}, {"identifier": "Q79", "position": [1, 5], "step": 43, "ordinal_position": 44}, {"identifier": "D84", "position": [2, 5], "step": 44, "ordinal_position": 45}, {"identifier": "Y98", "position": [3, 5], "step": 45, "ordinal_position": 46}, {"identifier": "O83", "position": [4, 5], "step": 46, "ordinal_position": 47}, {"identifier": "L92", "position": [5, 5], "step": 47, "ordinal_position": 48}, {"identifier": "W67", "position": [5, 4], "step": 48, "ordinal_position": 49}, {"identifier": "D85", "position": [5, 3], "step": 49, "ordinal_position": 50}, {"identifier": "R39", "position": [5, 2], "step": 50, "ordinal_position": 51}, {"identifier": "W04", "position": [5, 1], "step": 51, "ordinal_position": 52}, {"identifier": "H90", "position": [4, 1], "step": 52, "ordinal_position": 53}, {"identifier": "I07", "position": [3, 1], "step": 53, "ordinal_position": 54}, {"identifier": "W08", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "K25", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "D60", "position": [1, 2], "step": 56, "ordinal_position": 57}, {"identifier": "S23", "position": [1, 3], "step": 57, "ordinal_position": 58}, {"identifier": "X07", "position": [1, 4], "step": 58, "ordinal_position": 59}, {"identifier": "Q79", "position": [1, 5], "step": 59, "ordinal_position": 60}, {"identifier": "D84", "position": [2, 5], "step": 60, "ordinal_position": 61}, {"identifier": "Y98", "position": [3, 5], "step": 61, "ordinal_position": 62}, {"identifier": "O83", "position": [4, 5], "step": 62, "ordinal_position": 63}, {"identifier": "L92", "position": [5, 5], "step": 63, "ordinal_position": 64}, {"identifier": "W67", "position": [5, 4], "step": 64, "ordinal_position": 65}, {"identifier": "D85", "position": [5, 3], "step": 65, "ordinal_position": 66}, {"identifier": "R39", "position": [5, 2], "step": 66, "ordinal_position": 67}, {"identifier": "W04", "position": [5, 1], "step": 67, "ordinal_position": 68}, {"identifier": "H90", "position": [4, 1], "step": 68, "ordinal_position": 69}, {"identifier": "I07", "position": [3, 1], "step": 69, "ordinal_position": 70}, {"identifier": "W08", "position": [2, 1], "step": 70, "ordinal_position": 71}, {"identifier": "K25", "position": [1, 1], "step": 71, "ordinal_position": 72}, {"identifier": "D60", "position": [1, 2], "step": 72, "ordinal_position": 73}, {"identifier": "S23", "position": [1, 3], "step": 73, "ordinal_position": 74}, {"identifier": "X07", "position": [1, 4], "step": 74, "ordinal_position": 75}, {"identifier": "Q79", "position": [1, 5], "step": 75, "ordinal_position": 76}, {"identifier": "D84", "position": [2, 5], "step": 76, "ordinal_position": 77}, {"identifier": "Y98", "position": [3, 5], "step": 77, "ordinal_position": 78}, {"identifier": "O83", "position": [4, 5], "step": 78, "ordinal_position": 79}, {"identifier": "L92", "position": [5, 5], "step": 79, "ordinal_position": 80}, {"identifier": "W67", "position": [5, 4], "step": 80, "ordinal_position": 81}, {"identifier": "D85", "position": [5, 3], "step": 81, "ordinal_position": 82}, {"identifier": "R39", "position": [5, 2], "step": 82, "ordinal_position": 83}, {"identifier": "W04", "position": [5, 1], "step": 83, "ordinal_position": 84}, {"identifier": "H90", "position": [4, 1], "step": 84, "ordinal_position": 85}, {"identifier": "I07", "position": [3, 1], "step": 85, "ordinal_position": 86}, {"identifier": "W08", "position": [2, 1], "step": 86, "ordinal_position": 87}, {"identifier": "K25", "position": [1, 1], "step": 87, "ordinal_position": 88}, {"identifier": "D60", "position": [1, 2], "step": 88, "ordinal_position": 89}, {"identifier": "S23", "position": [1, 3], "step": 89, "ordinal_position": 90}, {"identifier": "X07", "position": [1, 4], "step": 90, "ordinal_position": 91}, {"identifier": "Q79", "position": [1, 5], "step": 91, "ordinal_position": 92}, {"identifier": "D84", "position": [2, 5], "step": 92, "ordinal_position": 93}, {"identifier": "Y98", "position": [3, 5], "step": 93, "ordinal_position": 94}, {"identifier": "O83", "position": [4, 5], "step": 94, "ordinal_position": 95}, {"identifier": "L92", "position": [5, 5], "step": 95, "ordinal_position": 96}, {"identifier": "W67", "position": [5, 4], "step": 96, "ordinal_position": 97}, {"identifier": "D85", "position": [5, 3], "step": 97, "ordinal_position": 98}, {"identifier": "R39", "position": [5, 2], "step": 98, "ordinal_position": 99}, {"identifier": "W04", "position": [5, 1], "step": 99, "ordinal_position": 100}, {"identifier": "H90", "position": [4, 1], "step": 100, "ordinal_position": 101}, {"identifier": "I07", "position": [3, 1], "step": 101, "ordinal_position": 102}, {"identifier": "W08", "position": [2, 1], "step": 102, "ordinal_position": 103}, {"identifier": "K25", "position": [1, 1], "step": 103, "ordinal_position": 104}, {"identifier": "D60", "position": [1, 2], "step": 104, "ordinal_position": 105}, {"identifier": "S23", "position": [1, 3], "step": 105, "ordinal_position": 106}, {"identifier": "X07", "position": [1, 4], "step": 106, "ordinal_position": 107}, {"identifier": "Q79", "position": [1, 5], "step": 107, "ordinal_position": 108}, {"identifier": "D84", "position": [2, 5], "step": 108, "ordinal_position": 109}, {"identifier": "Y98", "position": [3, 5], "step": 109, "ordinal_position": 110}, {"identifier": "O83", "position": [4, 5], "step": 110, "ordinal_position": 111}, {"identifier": "L92", "position": [5, 5], "step": 111, "ordinal_position": 112}, {"identifier": "W67", "position": [5, 4], "step": 112, "ordinal_position": 113}, {"identifier": "D85", "position": [5, 3], "step": 113, "ordinal_position": 114}, {"identifier": "R39", "position": [5, 2], "step": 114, "ordinal_position": 115}, {"identifier": "W04", "position": [5, 1], "step": 115, "ordinal_position": 116}, {"identifier": "H90", "position": [4, 1], "step": 116, "ordinal_position": 117}, {"identifier": "I07", "position": [3, 1], "step": 117, "ordinal_position": 118}, {"identifier": "W08", "position": [2, 1], "step": 118, "ordinal_position": 119}, {"identifier": "K25", "position": [1, 1], "step": 119, "ordinal_position": 120}, {"identifier": "D60", "position": [1, 2], "step": 120, "ordinal_position": 121}, {"identifier": "S23", "position": [1, 3], "step": 121, "ordinal_position": 122}, {"identifier": "X07", "position": [1, 4], "step": 122, "ordinal_position": 123}, {"identifier": "Q79", "position": [1, 5], "step": 123, "ordinal_position": 124}, {"identifier": "D84", "position": [2, 5], "step": 124, "ordinal_position": 125}, {"identifier": "Y98", "position": [3, 5], "step": 125, "ordinal_position": 126}, {"identifier": "O83", "position": [4, 5], "step": 126, "ordinal_position": 127}, {"identifier": "L92", "position": [5, 5], "step": 127, "ordinal_position": 128}, {"identifier": "W67", "position": [5, 4], "step": 128, "ordinal_position": 129}, {"identifier": "D85", "position": [5, 3], "step": 129, "ordinal_position": 130}, {"identifier": "R39", "position": [5, 2], "step": 130, "ordinal_position": 131}, {"identifier": "W04", "position": [5, 1], "step": 131, "ordinal_position": 132}, {"identifier": "H90", "position": [4, 1], "step": 132, "ordinal_position": 133}, {"identifier": "I07", "position": [3, 1], "step": 133, "ordinal_position": 134}, {"identifier": "W08", "position": [2, 1], "step": 134, "ordinal_position": 135}, {"identifier": "K25", "position": [1, 1], "step": 135, "ordinal_position": 136}, {"identifier": "D60", "position": [1, 2], "step": 136, "ordinal_position": 137}, {"identifier": "S23", "position": [1, 3], "step": 137, "ordinal_position": 138}, {"identifier": "X07", "position": [1, 4], "step": 138, "ordinal_position": 139}, {"identifier": "Q79", "position": [1, 5], "step": 139, "ordinal_position": 140}, {"identifier": "D84", "position": [2, 5], "step": 140, "ordinal_position": 141}, {"identifier": "Y98", "position": [3, 5], "step": 141, "ordinal_position": 142}, {"identifier": "O83", "position": [4, 5], "step": 142, "ordinal_position": 143}, {"identifier": "L92", "position": [5, 5], "step": 143, "ordinal_position": 144}, {"identifier": "W67", "position": [5, 4], "step": 144, "ordinal_position": 145}, {"identifier": "D85", "position": [5, 3], "step": 145, "ordinal_position": 146}, {"identifier": "R39", "position": [5, 2], "step": 146, "ordinal_position": 147}, {"identifier": "W04", "position": [5, 1], "step": 147, "ordinal_position": 148}, {"identifier": "H90", "position": [4, 1], "step": 148, "ordinal_position": 149}, {"identifier": "I07", "position": [3, 1], "step": 149, "ordinal_position": 150}, {"identifier": "W08", "position": [2, 1], "step": 150, "ordinal_position": 151}, {"identifier": "K25", "position": [1, 1], "step": 151, "ordinal_position": 152}, {"identifier": "D60", "position": [1, 2], "step": 152, "ordinal_position": 153}, {"identifier": "S23", "position": [1, 3], "step": 153, "ordinal_position": 154}, {"identifier": "X07", "position": [1, 4], "step": 154, "ordinal_position": 155}, {"identifier": "Q79", "position": [1, 5], "step": 155, "ordinal_position": 156}, {"identifier": "D84", "position": [2, 5], "step": 156, "ordinal_position": 157}, {"identifier": "Y98", "position": [3, 5], "step": 157, "ordinal_position": 158}, {"identifier": "O83", "position": [4, 5], "step": 158, "ordinal_position": 159}, {"identifier": "L92", "position": [5, 5], "step": 159, "ordinal_position": 160}, {"identifier": "W67", "position": [5, 4], "step": 160, "ordinal_position": 161}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 161, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_006.json"}} {"qa_id": "5e059ab5c65342ce8f6488cbf26eb340", "image_id": "L3-MazeLoop-test_7x7_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y98, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 212th position in this traversal?", "start_object_id": "Y98", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [212], "ordinal_strings": ["212th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "W67", "traversal_path": [{"identifier": "Y98", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "O83", "position": [4, 5], "step": 1, "ordinal_position": 2}, {"identifier": "L92", "position": [5, 5], "step": 2, "ordinal_position": 3}, {"identifier": "W67", "position": [5, 4], "step": 3, "ordinal_position": 4}, {"identifier": "D85", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "R39", "position": [5, 2], "step": 5, "ordinal_position": 6}, {"identifier": "W04", "position": [5, 1], "step": 6, "ordinal_position": 7}, {"identifier": "H90", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "I07", "position": [3, 1], "step": 8, "ordinal_position": 9}, {"identifier": "W08", "position": [2, 1], "step": 9, "ordinal_position": 10}, {"identifier": "K25", "position": [1, 1], "step": 10, "ordinal_position": 11}, {"identifier": "D60", "position": [1, 2], "step": 11, "ordinal_position": 12}, {"identifier": "S23", "position": [1, 3], "step": 12, "ordinal_position": 13}, {"identifier": "X07", "position": [1, 4], "step": 13, "ordinal_position": 14}, {"identifier": "Q79", "position": [1, 5], "step": 14, "ordinal_position": 15}, {"identifier": "D84", "position": [2, 5], "step": 15, "ordinal_position": 16}, {"identifier": "Y98", "position": [3, 5], "step": 16, "ordinal_position": 17}, {"identifier": "O83", "position": [4, 5], "step": 17, "ordinal_position": 18}, {"identifier": "L92", "position": [5, 5], "step": 18, "ordinal_position": 19}, {"identifier": "W67", "position": [5, 4], "step": 19, "ordinal_position": 20}, {"identifier": "D85", "position": [5, 3], "step": 20, "ordinal_position": 21}, {"identifier": "R39", "position": [5, 2], "step": 21, "ordinal_position": 22}, {"identifier": "W04", "position": [5, 1], "step": 22, "ordinal_position": 23}, {"identifier": "H90", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "I07", "position": [3, 1], "step": 24, "ordinal_position": 25}, {"identifier": "W08", "position": [2, 1], "step": 25, "ordinal_position": 26}, {"identifier": "K25", "position": [1, 1], "step": 26, "ordinal_position": 27}, {"identifier": "D60", "position": [1, 2], "step": 27, "ordinal_position": 28}, {"identifier": "S23", "position": [1, 3], "step": 28, "ordinal_position": 29}, {"identifier": "X07", "position": [1, 4], "step": 29, "ordinal_position": 30}, {"identifier": "Q79", "position": [1, 5], "step": 30, "ordinal_position": 31}, {"identifier": "D84", "position": [2, 5], "step": 31, "ordinal_position": 32}, {"identifier": "Y98", "position": [3, 5], "step": 32, "ordinal_position": 33}, {"identifier": "O83", "position": [4, 5], "step": 33, "ordinal_position": 34}, {"identifier": "L92", "position": [5, 5], "step": 34, "ordinal_position": 35}, {"identifier": "W67", "position": [5, 4], "step": 35, "ordinal_position": 36}, {"identifier": "D85", "position": [5, 3], "step": 36, "ordinal_position": 37}, {"identifier": "R39", "position": [5, 2], "step": 37, "ordinal_position": 38}, {"identifier": "W04", "position": [5, 1], "step": 38, "ordinal_position": 39}, {"identifier": "H90", "position": [4, 1], "step": 39, "ordinal_position": 40}, {"identifier": "I07", "position": [3, 1], "step": 40, "ordinal_position": 41}, {"identifier": "W08", "position": [2, 1], "step": 41, "ordinal_position": 42}, {"identifier": "K25", "position": [1, 1], "step": 42, "ordinal_position": 43}, {"identifier": "D60", "position": [1, 2], "step": 43, "ordinal_position": 44}, {"identifier": "S23", "position": [1, 3], "step": 44, "ordinal_position": 45}, {"identifier": "X07", "position": [1, 4], "step": 45, "ordinal_position": 46}, {"identifier": "Q79", "position": [1, 5], "step": 46, "ordinal_position": 47}, {"identifier": "D84", "position": [2, 5], "step": 47, "ordinal_position": 48}, {"identifier": "Y98", "position": [3, 5], "step": 48, "ordinal_position": 49}, {"identifier": "O83", "position": [4, 5], "step": 49, "ordinal_position": 50}, {"identifier": "L92", "position": [5, 5], "step": 50, "ordinal_position": 51}, {"identifier": "W67", "position": [5, 4], "step": 51, "ordinal_position": 52}, {"identifier": "D85", "position": [5, 3], "step": 52, "ordinal_position": 53}, {"identifier": "R39", "position": [5, 2], "step": 53, "ordinal_position": 54}, {"identifier": "W04", "position": [5, 1], "step": 54, "ordinal_position": 55}, {"identifier": "H90", "position": [4, 1], "step": 55, "ordinal_position": 56}, {"identifier": "I07", "position": [3, 1], "step": 56, "ordinal_position": 57}, {"identifier": "W08", "position": [2, 1], "step": 57, "ordinal_position": 58}, {"identifier": "K25", "position": [1, 1], "step": 58, "ordinal_position": 59}, {"identifier": "D60", "position": [1, 2], "step": 59, "ordinal_position": 60}, {"identifier": "S23", "position": [1, 3], "step": 60, "ordinal_position": 61}, {"identifier": "X07", "position": [1, 4], "step": 61, "ordinal_position": 62}, {"identifier": "Q79", "position": [1, 5], "step": 62, "ordinal_position": 63}, {"identifier": "D84", "position": [2, 5], "step": 63, "ordinal_position": 64}, {"identifier": "Y98", "position": [3, 5], "step": 64, "ordinal_position": 65}, {"identifier": "O83", "position": [4, 5], "step": 65, "ordinal_position": 66}, {"identifier": "L92", "position": [5, 5], "step": 66, "ordinal_position": 67}, {"identifier": "W67", "position": [5, 4], "step": 67, "ordinal_position": 68}, {"identifier": "D85", "position": [5, 3], "step": 68, "ordinal_position": 69}, {"identifier": "R39", "position": [5, 2], "step": 69, "ordinal_position": 70}, {"identifier": "W04", "position": [5, 1], "step": 70, "ordinal_position": 71}, {"identifier": "H90", "position": [4, 1], "step": 71, "ordinal_position": 72}, {"identifier": "I07", "position": [3, 1], "step": 72, "ordinal_position": 73}, {"identifier": "W08", "position": [2, 1], "step": 73, "ordinal_position": 74}, {"identifier": "K25", "position": [1, 1], "step": 74, "ordinal_position": 75}, {"identifier": "D60", "position": [1, 2], "step": 75, "ordinal_position": 76}, {"identifier": "S23", "position": [1, 3], "step": 76, "ordinal_position": 77}, {"identifier": "X07", "position": [1, 4], "step": 77, "ordinal_position": 78}, {"identifier": "Q79", "position": [1, 5], "step": 78, "ordinal_position": 79}, {"identifier": "D84", "position": [2, 5], "step": 79, "ordinal_position": 80}, {"identifier": "Y98", "position": [3, 5], "step": 80, "ordinal_position": 81}, {"identifier": "O83", "position": [4, 5], "step": 81, "ordinal_position": 82}, {"identifier": "L92", "position": [5, 5], "step": 82, "ordinal_position": 83}, {"identifier": "W67", "position": [5, 4], "step": 83, "ordinal_position": 84}, {"identifier": "D85", "position": [5, 3], "step": 84, "ordinal_position": 85}, {"identifier": "R39", "position": [5, 2], "step": 85, "ordinal_position": 86}, {"identifier": "W04", "position": [5, 1], "step": 86, "ordinal_position": 87}, {"identifier": "H90", "position": [4, 1], "step": 87, "ordinal_position": 88}, {"identifier": "I07", "position": [3, 1], "step": 88, "ordinal_position": 89}, {"identifier": "W08", "position": [2, 1], "step": 89, "ordinal_position": 90}, {"identifier": "K25", "position": [1, 1], "step": 90, "ordinal_position": 91}, {"identifier": "D60", "position": [1, 2], "step": 91, "ordinal_position": 92}, {"identifier": "S23", "position": [1, 3], "step": 92, "ordinal_position": 93}, {"identifier": "X07", "position": [1, 4], "step": 93, "ordinal_position": 94}, {"identifier": "Q79", "position": [1, 5], "step": 94, "ordinal_position": 95}, {"identifier": "D84", "position": [2, 5], "step": 95, "ordinal_position": 96}, {"identifier": "Y98", "position": [3, 5], "step": 96, "ordinal_position": 97}, {"identifier": "O83", "position": [4, 5], "step": 97, "ordinal_position": 98}, {"identifier": "L92", "position": [5, 5], "step": 98, "ordinal_position": 99}, {"identifier": "W67", "position": [5, 4], "step": 99, "ordinal_position": 100}, {"identifier": "D85", "position": [5, 3], "step": 100, "ordinal_position": 101}, {"identifier": "R39", "position": [5, 2], "step": 101, "ordinal_position": 102}, {"identifier": "W04", "position": [5, 1], "step": 102, "ordinal_position": 103}, {"identifier": "H90", "position": [4, 1], "step": 103, "ordinal_position": 104}, {"identifier": "I07", "position": [3, 1], "step": 104, "ordinal_position": 105}, {"identifier": "W08", "position": [2, 1], "step": 105, "ordinal_position": 106}, {"identifier": "K25", "position": [1, 1], "step": 106, "ordinal_position": 107}, {"identifier": "D60", "position": [1, 2], "step": 107, "ordinal_position": 108}, {"identifier": "S23", "position": [1, 3], "step": 108, "ordinal_position": 109}, {"identifier": "X07", "position": [1, 4], "step": 109, "ordinal_position": 110}, {"identifier": "Q79", "position": [1, 5], "step": 110, "ordinal_position": 111}, {"identifier": "D84", "position": [2, 5], "step": 111, "ordinal_position": 112}, {"identifier": "Y98", "position": [3, 5], "step": 112, "ordinal_position": 113}, {"identifier": "O83", "position": [4, 5], "step": 113, "ordinal_position": 114}, {"identifier": "L92", "position": [5, 5], "step": 114, "ordinal_position": 115}, {"identifier": "W67", "position": [5, 4], "step": 115, "ordinal_position": 116}, {"identifier": "D85", "position": [5, 3], "step": 116, "ordinal_position": 117}, {"identifier": "R39", "position": [5, 2], "step": 117, "ordinal_position": 118}, {"identifier": "W04", "position": [5, 1], "step": 118, "ordinal_position": 119}, {"identifier": "H90", "position": [4, 1], "step": 119, "ordinal_position": 120}, {"identifier": "I07", "position": [3, 1], "step": 120, "ordinal_position": 121}, {"identifier": "W08", "position": [2, 1], "step": 121, "ordinal_position": 122}, {"identifier": "K25", "position": [1, 1], "step": 122, "ordinal_position": 123}, {"identifier": "D60", "position": [1, 2], "step": 123, "ordinal_position": 124}, {"identifier": "S23", "position": [1, 3], "step": 124, "ordinal_position": 125}, {"identifier": "X07", "position": [1, 4], "step": 125, "ordinal_position": 126}, {"identifier": "Q79", "position": [1, 5], "step": 126, "ordinal_position": 127}, {"identifier": "D84", "position": [2, 5], "step": 127, "ordinal_position": 128}, {"identifier": "Y98", "position": [3, 5], "step": 128, "ordinal_position": 129}, {"identifier": "O83", "position": [4, 5], "step": 129, "ordinal_position": 130}, {"identifier": "L92", "position": [5, 5], "step": 130, "ordinal_position": 131}, {"identifier": "W67", "position": [5, 4], "step": 131, "ordinal_position": 132}, {"identifier": "D85", "position": [5, 3], "step": 132, "ordinal_position": 133}, {"identifier": "R39", "position": [5, 2], "step": 133, "ordinal_position": 134}, {"identifier": "W04", "position": [5, 1], "step": 134, "ordinal_position": 135}, {"identifier": "H90", "position": [4, 1], "step": 135, "ordinal_position": 136}, {"identifier": "I07", "position": [3, 1], "step": 136, "ordinal_position": 137}, {"identifier": "W08", "position": [2, 1], "step": 137, "ordinal_position": 138}, {"identifier": "K25", "position": [1, 1], "step": 138, "ordinal_position": 139}, {"identifier": "D60", "position": [1, 2], "step": 139, "ordinal_position": 140}, {"identifier": "S23", "position": [1, 3], "step": 140, "ordinal_position": 141}, {"identifier": "X07", "position": [1, 4], "step": 141, "ordinal_position": 142}, {"identifier": "Q79", "position": [1, 5], "step": 142, "ordinal_position": 143}, {"identifier": "D84", "position": [2, 5], "step": 143, "ordinal_position": 144}, {"identifier": "Y98", "position": [3, 5], "step": 144, "ordinal_position": 145}, {"identifier": "O83", "position": [4, 5], "step": 145, "ordinal_position": 146}, {"identifier": "L92", "position": [5, 5], "step": 146, "ordinal_position": 147}, {"identifier": "W67", "position": [5, 4], "step": 147, "ordinal_position": 148}, {"identifier": "D85", "position": [5, 3], "step": 148, "ordinal_position": 149}, {"identifier": "R39", "position": [5, 2], "step": 149, "ordinal_position": 150}, {"identifier": "W04", "position": [5, 1], "step": 150, "ordinal_position": 151}, {"identifier": "H90", "position": [4, 1], "step": 151, "ordinal_position": 152}, {"identifier": "I07", "position": [3, 1], "step": 152, "ordinal_position": 153}, {"identifier": "W08", "position": [2, 1], "step": 153, "ordinal_position": 154}, {"identifier": "K25", "position": [1, 1], "step": 154, "ordinal_position": 155}, {"identifier": "D60", "position": [1, 2], "step": 155, "ordinal_position": 156}, {"identifier": "S23", "position": [1, 3], "step": 156, "ordinal_position": 157}, {"identifier": "X07", "position": [1, 4], "step": 157, "ordinal_position": 158}, {"identifier": "Q79", "position": [1, 5], "step": 158, "ordinal_position": 159}, {"identifier": "D84", "position": [2, 5], "step": 159, "ordinal_position": 160}, {"identifier": "Y98", "position": [3, 5], "step": 160, "ordinal_position": 161}, {"identifier": "O83", "position": [4, 5], "step": 161, "ordinal_position": 162}, {"identifier": "L92", "position": [5, 5], "step": 162, "ordinal_position": 163}, {"identifier": "W67", "position": [5, 4], "step": 163, "ordinal_position": 164}, {"identifier": "D85", "position": [5, 3], "step": 164, "ordinal_position": 165}, {"identifier": "R39", "position": [5, 2], "step": 165, "ordinal_position": 166}, {"identifier": "W04", "position": [5, 1], "step": 166, "ordinal_position": 167}, {"identifier": "H90", "position": [4, 1], "step": 167, "ordinal_position": 168}, {"identifier": "I07", "position": [3, 1], "step": 168, "ordinal_position": 169}, {"identifier": "W08", "position": [2, 1], "step": 169, "ordinal_position": 170}, {"identifier": "K25", "position": [1, 1], "step": 170, "ordinal_position": 171}, {"identifier": "D60", "position": [1, 2], "step": 171, "ordinal_position": 172}, {"identifier": "S23", "position": [1, 3], "step": 172, "ordinal_position": 173}, {"identifier": "X07", "position": [1, 4], "step": 173, "ordinal_position": 174}, {"identifier": "Q79", "position": [1, 5], "step": 174, "ordinal_position": 175}, {"identifier": "D84", "position": [2, 5], "step": 175, "ordinal_position": 176}, {"identifier": "Y98", "position": [3, 5], "step": 176, "ordinal_position": 177}, {"identifier": "O83", "position": [4, 5], "step": 177, "ordinal_position": 178}, {"identifier": "L92", "position": [5, 5], "step": 178, "ordinal_position": 179}, {"identifier": "W67", "position": [5, 4], "step": 179, "ordinal_position": 180}, {"identifier": "D85", "position": [5, 3], "step": 180, "ordinal_position": 181}, {"identifier": "R39", "position": [5, 2], "step": 181, "ordinal_position": 182}, {"identifier": "W04", "position": [5, 1], "step": 182, "ordinal_position": 183}, {"identifier": "H90", "position": [4, 1], "step": 183, "ordinal_position": 184}, {"identifier": "I07", "position": [3, 1], "step": 184, "ordinal_position": 185}, {"identifier": "W08", "position": [2, 1], "step": 185, "ordinal_position": 186}, {"identifier": "K25", "position": [1, 1], "step": 186, "ordinal_position": 187}, {"identifier": "D60", "position": [1, 2], "step": 187, "ordinal_position": 188}, {"identifier": "S23", "position": [1, 3], "step": 188, "ordinal_position": 189}, {"identifier": "X07", "position": [1, 4], "step": 189, "ordinal_position": 190}, {"identifier": "Q79", "position": [1, 5], "step": 190, "ordinal_position": 191}, {"identifier": "D84", "position": [2, 5], "step": 191, "ordinal_position": 192}, {"identifier": "Y98", "position": [3, 5], "step": 192, "ordinal_position": 193}, {"identifier": "O83", "position": [4, 5], "step": 193, "ordinal_position": 194}, {"identifier": "L92", "position": [5, 5], "step": 194, "ordinal_position": 195}, {"identifier": "W67", "position": [5, 4], "step": 195, "ordinal_position": 196}, {"identifier": "D85", "position": [5, 3], "step": 196, "ordinal_position": 197}, {"identifier": "R39", "position": [5, 2], "step": 197, "ordinal_position": 198}, {"identifier": "W04", "position": [5, 1], "step": 198, "ordinal_position": 199}, {"identifier": "H90", "position": [4, 1], "step": 199, "ordinal_position": 200}, {"identifier": "I07", "position": [3, 1], "step": 200, "ordinal_position": 201}, {"identifier": "W08", "position": [2, 1], "step": 201, "ordinal_position": 202}, {"identifier": "K25", "position": [1, 1], "step": 202, "ordinal_position": 203}, {"identifier": "D60", "position": [1, 2], "step": 203, "ordinal_position": 204}, {"identifier": "S23", "position": [1, 3], "step": 204, "ordinal_position": 205}, {"identifier": "X07", "position": [1, 4], "step": 205, "ordinal_position": 206}, {"identifier": "Q79", "position": [1, 5], "step": 206, "ordinal_position": 207}, {"identifier": "D84", "position": [2, 5], "step": 207, "ordinal_position": 208}, {"identifier": "Y98", "position": [3, 5], "step": 208, "ordinal_position": 209}, {"identifier": "O83", "position": [4, 5], "step": 209, "ordinal_position": 210}, {"identifier": "L92", "position": [5, 5], "step": 210, "ordinal_position": 211}, {"identifier": "W67", "position": [5, 4], "step": 211, "ordinal_position": 212}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 212, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_006.json"}} {"qa_id": "ab9ab947ca0e4ca38b682420d77af8d4", "image_id": "L3-MazeLoop-test_7x7_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J14, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "J14", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "X87", "traversal_path": [{"identifier": "J14", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "B90", "position": [3, 4], "step": 1, "ordinal_position": 2}, {"identifier": "X87", "position": [3, 3], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 3, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_007.json"}} {"qa_id": "4cefdb58fb844741b904e89f418b8a24", "image_id": "L3-MazeLoop-test_7x7_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X87, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "X87", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "C03", "traversal_path": [{"identifier": "X87", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "X98", "position": [2, 3], "step": 1, "ordinal_position": 2}, {"identifier": "X16", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "D71", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "X63", "position": [1, 5], "step": 4, "ordinal_position": 5}, {"identifier": "C03", "position": [2, 5], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 6, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_007.json"}} {"qa_id": "34bcfb66c1234b21ab5ae536b666ceec", "image_id": "L3-MazeLoop-test_7x7_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C03, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "C03", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "J14", "traversal_path": [{"identifier": "C03", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "J14", "position": [3, 5], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 2, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_007.json"}} {"qa_id": "fd9288f092fc4f76bbf4dbcce9c42d08", "image_id": "L3-MazeLoop-test_7x7_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X87, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "X87", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "X63", "traversal_path": [{"identifier": "X87", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "B90", "position": [3, 4], "step": 1, "ordinal_position": 2}, {"identifier": "J14", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "C03", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "X63", "position": [1, 5], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_007.json"}} {"qa_id": "45bd78dfe05b4f68aa8ffba2b2b3ab2c", "image_id": "L3-MazeLoop-test_7x7_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W57, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "W57", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "C53", "traversal_path": [{"identifier": "W57", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "J05", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Z69", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "C53", "position": [1, 2], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_007.json"}} {"qa_id": "2a974be570e14f0b839e365f73a9f986", "image_id": "L3-MazeLoop-test_7x7_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X16, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 91st position in this traversal?", "start_object_id": "X16", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [91], "ordinal_strings": ["91st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "W80", "traversal_path": [{"identifier": "X16", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "D71", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "X63", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "C03", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "J14", "position": [3, 5], "step": 4, "ordinal_position": 5}, {"identifier": "C42", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "R38", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "Q24", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "F45", "position": [5, 3], "step": 8, "ordinal_position": 9}, {"identifier": "F07", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "W80", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Z83", "position": [4, 1], "step": 11, "ordinal_position": 12}, {"identifier": "W57", "position": [3, 1], "step": 12, "ordinal_position": 13}, {"identifier": "J05", "position": [2, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Z69", "position": [1, 1], "step": 14, "ordinal_position": 15}, {"identifier": "C53", "position": [1, 2], "step": 15, "ordinal_position": 16}, {"identifier": "X16", "position": [1, 3], "step": 16, "ordinal_position": 17}, {"identifier": "D71", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "X63", "position": [1, 5], "step": 18, "ordinal_position": 19}, {"identifier": "C03", "position": [2, 5], "step": 19, "ordinal_position": 20}, {"identifier": "J14", "position": [3, 5], "step": 20, "ordinal_position": 21}, {"identifier": "C42", "position": [4, 5], "step": 21, "ordinal_position": 22}, {"identifier": "R38", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "Q24", "position": [5, 4], "step": 23, "ordinal_position": 24}, {"identifier": "F45", "position": [5, 3], "step": 24, "ordinal_position": 25}, {"identifier": "F07", "position": [5, 2], "step": 25, "ordinal_position": 26}, {"identifier": "W80", "position": [5, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Z83", "position": [4, 1], "step": 27, "ordinal_position": 28}, {"identifier": "W57", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "J05", "position": [2, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Z69", "position": [1, 1], "step": 30, "ordinal_position": 31}, {"identifier": "C53", "position": [1, 2], "step": 31, "ordinal_position": 32}, {"identifier": "X16", "position": [1, 3], "step": 32, "ordinal_position": 33}, {"identifier": "D71", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "X63", "position": [1, 5], "step": 34, "ordinal_position": 35}, {"identifier": "C03", "position": [2, 5], "step": 35, "ordinal_position": 36}, {"identifier": "J14", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "C42", "position": [4, 5], "step": 37, "ordinal_position": 38}, {"identifier": "R38", "position": [5, 5], "step": 38, "ordinal_position": 39}, {"identifier": "Q24", "position": [5, 4], "step": 39, "ordinal_position": 40}, {"identifier": "F45", "position": [5, 3], "step": 40, "ordinal_position": 41}, {"identifier": "F07", "position": [5, 2], "step": 41, "ordinal_position": 42}, {"identifier": "W80", "position": [5, 1], "step": 42, "ordinal_position": 43}, {"identifier": "Z83", "position": [4, 1], "step": 43, "ordinal_position": 44}, {"identifier": "W57", "position": [3, 1], "step": 44, "ordinal_position": 45}, {"identifier": "J05", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Z69", "position": [1, 1], "step": 46, "ordinal_position": 47}, {"identifier": "C53", "position": [1, 2], "step": 47, "ordinal_position": 48}, {"identifier": "X16", "position": [1, 3], "step": 48, "ordinal_position": 49}, {"identifier": "D71", "position": [1, 4], "step": 49, "ordinal_position": 50}, {"identifier": "X63", "position": [1, 5], "step": 50, "ordinal_position": 51}, {"identifier": "C03", "position": [2, 5], "step": 51, "ordinal_position": 52}, {"identifier": "J14", "position": [3, 5], "step": 52, "ordinal_position": 53}, {"identifier": "C42", "position": [4, 5], "step": 53, "ordinal_position": 54}, {"identifier": "R38", "position": [5, 5], "step": 54, "ordinal_position": 55}, {"identifier": "Q24", "position": [5, 4], "step": 55, "ordinal_position": 56}, {"identifier": "F45", "position": [5, 3], "step": 56, "ordinal_position": 57}, {"identifier": "F07", "position": [5, 2], "step": 57, "ordinal_position": 58}, {"identifier": "W80", "position": [5, 1], "step": 58, "ordinal_position": 59}, {"identifier": "Z83", "position": [4, 1], "step": 59, "ordinal_position": 60}, {"identifier": "W57", "position": [3, 1], "step": 60, "ordinal_position": 61}, {"identifier": "J05", "position": [2, 1], "step": 61, "ordinal_position": 62}, {"identifier": "Z69", "position": [1, 1], "step": 62, "ordinal_position": 63}, {"identifier": "C53", "position": [1, 2], "step": 63, "ordinal_position": 64}, {"identifier": "X16", "position": [1, 3], "step": 64, "ordinal_position": 65}, {"identifier": "D71", "position": [1, 4], "step": 65, "ordinal_position": 66}, {"identifier": "X63", "position": [1, 5], "step": 66, "ordinal_position": 67}, {"identifier": "C03", "position": [2, 5], "step": 67, "ordinal_position": 68}, {"identifier": "J14", "position": [3, 5], "step": 68, "ordinal_position": 69}, {"identifier": "C42", "position": [4, 5], "step": 69, "ordinal_position": 70}, {"identifier": "R38", "position": [5, 5], "step": 70, "ordinal_position": 71}, {"identifier": "Q24", "position": [5, 4], "step": 71, "ordinal_position": 72}, {"identifier": "F45", "position": [5, 3], "step": 72, "ordinal_position": 73}, {"identifier": "F07", "position": [5, 2], "step": 73, "ordinal_position": 74}, {"identifier": "W80", "position": [5, 1], "step": 74, "ordinal_position": 75}, {"identifier": "Z83", "position": [4, 1], "step": 75, "ordinal_position": 76}, {"identifier": "W57", "position": [3, 1], "step": 76, "ordinal_position": 77}, {"identifier": "J05", "position": [2, 1], "step": 77, "ordinal_position": 78}, {"identifier": "Z69", "position": [1, 1], "step": 78, "ordinal_position": 79}, {"identifier": "C53", "position": [1, 2], "step": 79, "ordinal_position": 80}, {"identifier": "X16", "position": [1, 3], "step": 80, "ordinal_position": 81}, {"identifier": "D71", "position": [1, 4], "step": 81, "ordinal_position": 82}, {"identifier": "X63", "position": [1, 5], "step": 82, "ordinal_position": 83}, {"identifier": "C03", "position": [2, 5], "step": 83, "ordinal_position": 84}, {"identifier": "J14", "position": [3, 5], "step": 84, "ordinal_position": 85}, {"identifier": "C42", "position": [4, 5], "step": 85, "ordinal_position": 86}, {"identifier": "R38", "position": [5, 5], "step": 86, "ordinal_position": 87}, {"identifier": "Q24", "position": [5, 4], "step": 87, "ordinal_position": 88}, {"identifier": "F45", "position": [5, 3], "step": 88, "ordinal_position": 89}, {"identifier": "F07", "position": [5, 2], "step": 89, "ordinal_position": 90}, {"identifier": "W80", "position": [5, 1], "step": 90, "ordinal_position": 91}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 91, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_007.json"}} {"qa_id": "602e3953008540d7b3d9d517b922b249", "image_id": "L3-MazeLoop-test_7x7_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F07, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 63rd position in this traversal?", "start_object_id": "F07", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [63], "ordinal_strings": ["63rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Q24", "traversal_path": [{"identifier": "F07", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "W80", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Z83", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "W57", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "J05", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Z69", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "C53", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "X16", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "D71", "position": [1, 4], "step": 8, "ordinal_position": 9}, {"identifier": "X63", "position": [1, 5], "step": 9, "ordinal_position": 10}, {"identifier": "C03", "position": [2, 5], "step": 10, "ordinal_position": 11}, {"identifier": "J14", "position": [3, 5], "step": 11, "ordinal_position": 12}, {"identifier": "C42", "position": [4, 5], "step": 12, "ordinal_position": 13}, {"identifier": "R38", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "Q24", "position": [5, 4], "step": 14, "ordinal_position": 15}, {"identifier": "F45", "position": [5, 3], "step": 15, "ordinal_position": 16}, {"identifier": "F07", "position": [5, 2], "step": 16, "ordinal_position": 17}, {"identifier": "W80", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "Z83", "position": [4, 1], "step": 18, "ordinal_position": 19}, {"identifier": "W57", "position": [3, 1], "step": 19, "ordinal_position": 20}, {"identifier": "J05", "position": [2, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Z69", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "C53", "position": [1, 2], "step": 22, "ordinal_position": 23}, {"identifier": "X16", "position": [1, 3], "step": 23, "ordinal_position": 24}, {"identifier": "D71", "position": [1, 4], "step": 24, "ordinal_position": 25}, {"identifier": "X63", "position": [1, 5], "step": 25, "ordinal_position": 26}, {"identifier": "C03", "position": [2, 5], "step": 26, "ordinal_position": 27}, {"identifier": "J14", "position": [3, 5], "step": 27, "ordinal_position": 28}, {"identifier": "C42", "position": [4, 5], "step": 28, "ordinal_position": 29}, {"identifier": "R38", "position": [5, 5], "step": 29, "ordinal_position": 30}, {"identifier": "Q24", "position": [5, 4], "step": 30, "ordinal_position": 31}, {"identifier": "F45", "position": [5, 3], "step": 31, "ordinal_position": 32}, {"identifier": "F07", "position": [5, 2], "step": 32, "ordinal_position": 33}, {"identifier": "W80", "position": [5, 1], "step": 33, "ordinal_position": 34}, {"identifier": "Z83", "position": [4, 1], "step": 34, "ordinal_position": 35}, {"identifier": "W57", "position": [3, 1], "step": 35, "ordinal_position": 36}, {"identifier": "J05", "position": [2, 1], "step": 36, "ordinal_position": 37}, {"identifier": "Z69", "position": [1, 1], "step": 37, "ordinal_position": 38}, {"identifier": "C53", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "X16", "position": [1, 3], "step": 39, "ordinal_position": 40}, {"identifier": "D71", "position": [1, 4], "step": 40, "ordinal_position": 41}, {"identifier": "X63", "position": [1, 5], "step": 41, "ordinal_position": 42}, {"identifier": "C03", "position": [2, 5], "step": 42, "ordinal_position": 43}, {"identifier": "J14", "position": [3, 5], "step": 43, "ordinal_position": 44}, {"identifier": "C42", "position": [4, 5], "step": 44, "ordinal_position": 45}, {"identifier": "R38", "position": [5, 5], "step": 45, "ordinal_position": 46}, {"identifier": "Q24", "position": [5, 4], "step": 46, "ordinal_position": 47}, {"identifier": "F45", "position": [5, 3], "step": 47, "ordinal_position": 48}, {"identifier": "F07", "position": [5, 2], "step": 48, "ordinal_position": 49}, {"identifier": "W80", "position": [5, 1], "step": 49, "ordinal_position": 50}, {"identifier": "Z83", "position": [4, 1], "step": 50, "ordinal_position": 51}, {"identifier": "W57", "position": [3, 1], "step": 51, "ordinal_position": 52}, {"identifier": "J05", "position": [2, 1], "step": 52, "ordinal_position": 53}, {"identifier": "Z69", "position": [1, 1], "step": 53, "ordinal_position": 54}, {"identifier": "C53", "position": [1, 2], "step": 54, "ordinal_position": 55}, {"identifier": "X16", "position": [1, 3], "step": 55, "ordinal_position": 56}, {"identifier": "D71", "position": [1, 4], "step": 56, "ordinal_position": 57}, {"identifier": "X63", "position": [1, 5], "step": 57, "ordinal_position": 58}, {"identifier": "C03", "position": [2, 5], "step": 58, "ordinal_position": 59}, {"identifier": "J14", "position": [3, 5], "step": 59, "ordinal_position": 60}, {"identifier": "C42", "position": [4, 5], "step": 60, "ordinal_position": 61}, {"identifier": "R38", "position": [5, 5], "step": 61, "ordinal_position": 62}, {"identifier": "Q24", "position": [5, 4], "step": 62, "ordinal_position": 63}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 63, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_007.json"}} {"qa_id": "09ef944a2ad54be1975f2a79bef6bc4a", "image_id": "L3-MazeLoop-test_7x7_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C03, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 28th position in this traversal?", "start_object_id": "C03", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [28], "ordinal_strings": ["28th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "F45", "traversal_path": [{"identifier": "C03", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "X63", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "D71", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "X16", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "C53", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "Z69", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "J05", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "W57", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "Z83", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "W80", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "F07", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "F45", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "Q24", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "R38", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "C42", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "J14", "position": [3, 5], "step": 15, "ordinal_position": 16}, {"identifier": "C03", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "X63", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "D71", "position": [1, 4], "step": 18, "ordinal_position": 19}, {"identifier": "X16", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "C53", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "Z69", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "J05", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "W57", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "Z83", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "W80", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "F07", "position": [5, 2], "step": 26, "ordinal_position": 27}, {"identifier": "F45", "position": [5, 3], "step": 27, "ordinal_position": 28}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 28, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_007.json"}} {"qa_id": "774bee63f238418188d7c69b3e3c3c8c", "image_id": "L3-MazeLoop-test_7x7_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J14, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 89th position in this traversal?", "start_object_id": "J14", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [89], "ordinal_strings": ["89th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "W57", "traversal_path": [{"identifier": "J14", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "C42", "position": [4, 5], "step": 1, "ordinal_position": 2}, {"identifier": "R38", "position": [5, 5], "step": 2, "ordinal_position": 3}, {"identifier": "Q24", "position": [5, 4], "step": 3, "ordinal_position": 4}, {"identifier": "F45", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "F07", "position": [5, 2], "step": 5, "ordinal_position": 6}, {"identifier": "W80", "position": [5, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Z83", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "W57", "position": [3, 1], "step": 8, "ordinal_position": 9}, {"identifier": "J05", "position": [2, 1], "step": 9, "ordinal_position": 10}, {"identifier": "Z69", "position": [1, 1], "step": 10, "ordinal_position": 11}, {"identifier": "C53", "position": [1, 2], "step": 11, "ordinal_position": 12}, {"identifier": "X16", "position": [1, 3], "step": 12, "ordinal_position": 13}, {"identifier": "D71", "position": [1, 4], "step": 13, "ordinal_position": 14}, {"identifier": "X63", "position": [1, 5], "step": 14, "ordinal_position": 15}, {"identifier": "C03", "position": [2, 5], "step": 15, "ordinal_position": 16}, {"identifier": "J14", "position": [3, 5], "step": 16, "ordinal_position": 17}, {"identifier": "C42", "position": [4, 5], "step": 17, "ordinal_position": 18}, {"identifier": "R38", "position": [5, 5], "step": 18, "ordinal_position": 19}, {"identifier": "Q24", "position": [5, 4], "step": 19, "ordinal_position": 20}, {"identifier": "F45", "position": [5, 3], "step": 20, "ordinal_position": 21}, {"identifier": "F07", "position": [5, 2], "step": 21, "ordinal_position": 22}, {"identifier": "W80", "position": [5, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Z83", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "W57", "position": [3, 1], "step": 24, "ordinal_position": 25}, {"identifier": "J05", "position": [2, 1], "step": 25, "ordinal_position": 26}, {"identifier": "Z69", "position": [1, 1], "step": 26, "ordinal_position": 27}, {"identifier": "C53", "position": [1, 2], "step": 27, "ordinal_position": 28}, {"identifier": "X16", "position": [1, 3], "step": 28, "ordinal_position": 29}, {"identifier": "D71", "position": [1, 4], "step": 29, "ordinal_position": 30}, {"identifier": "X63", "position": [1, 5], "step": 30, "ordinal_position": 31}, {"identifier": "C03", "position": [2, 5], "step": 31, "ordinal_position": 32}, {"identifier": "J14", "position": [3, 5], "step": 32, "ordinal_position": 33}, {"identifier": "C42", "position": [4, 5], "step": 33, "ordinal_position": 34}, {"identifier": "R38", "position": [5, 5], "step": 34, "ordinal_position": 35}, {"identifier": "Q24", "position": [5, 4], "step": 35, "ordinal_position": 36}, {"identifier": "F45", "position": [5, 3], "step": 36, "ordinal_position": 37}, {"identifier": "F07", "position": [5, 2], "step": 37, "ordinal_position": 38}, {"identifier": "W80", "position": [5, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Z83", "position": [4, 1], "step": 39, "ordinal_position": 40}, {"identifier": "W57", "position": [3, 1], "step": 40, "ordinal_position": 41}, {"identifier": "J05", "position": [2, 1], "step": 41, "ordinal_position": 42}, {"identifier": "Z69", "position": [1, 1], "step": 42, "ordinal_position": 43}, {"identifier": "C53", "position": [1, 2], "step": 43, "ordinal_position": 44}, {"identifier": "X16", "position": [1, 3], "step": 44, "ordinal_position": 45}, {"identifier": "D71", "position": [1, 4], "step": 45, "ordinal_position": 46}, {"identifier": "X63", "position": [1, 5], "step": 46, "ordinal_position": 47}, {"identifier": "C03", "position": [2, 5], "step": 47, "ordinal_position": 48}, {"identifier": "J14", "position": [3, 5], "step": 48, "ordinal_position": 49}, {"identifier": "C42", "position": [4, 5], "step": 49, "ordinal_position": 50}, {"identifier": "R38", "position": [5, 5], "step": 50, "ordinal_position": 51}, {"identifier": "Q24", "position": [5, 4], "step": 51, "ordinal_position": 52}, {"identifier": "F45", "position": [5, 3], "step": 52, "ordinal_position": 53}, {"identifier": "F07", "position": [5, 2], "step": 53, "ordinal_position": 54}, {"identifier": "W80", "position": [5, 1], "step": 54, "ordinal_position": 55}, {"identifier": "Z83", "position": [4, 1], "step": 55, "ordinal_position": 56}, {"identifier": "W57", "position": [3, 1], "step": 56, "ordinal_position": 57}, {"identifier": "J05", "position": [2, 1], "step": 57, "ordinal_position": 58}, {"identifier": "Z69", "position": [1, 1], "step": 58, "ordinal_position": 59}, {"identifier": "C53", "position": [1, 2], "step": 59, "ordinal_position": 60}, {"identifier": "X16", "position": [1, 3], "step": 60, "ordinal_position": 61}, {"identifier": "D71", "position": [1, 4], "step": 61, "ordinal_position": 62}, {"identifier": "X63", "position": [1, 5], "step": 62, "ordinal_position": 63}, {"identifier": "C03", "position": [2, 5], "step": 63, "ordinal_position": 64}, {"identifier": "J14", "position": [3, 5], "step": 64, "ordinal_position": 65}, {"identifier": "C42", "position": [4, 5], "step": 65, "ordinal_position": 66}, {"identifier": "R38", "position": [5, 5], "step": 66, "ordinal_position": 67}, {"identifier": "Q24", "position": [5, 4], "step": 67, "ordinal_position": 68}, {"identifier": "F45", "position": [5, 3], "step": 68, "ordinal_position": 69}, {"identifier": "F07", "position": [5, 2], "step": 69, "ordinal_position": 70}, {"identifier": "W80", "position": [5, 1], "step": 70, "ordinal_position": 71}, {"identifier": "Z83", "position": [4, 1], "step": 71, "ordinal_position": 72}, {"identifier": "W57", "position": [3, 1], "step": 72, "ordinal_position": 73}, {"identifier": "J05", "position": [2, 1], "step": 73, "ordinal_position": 74}, {"identifier": "Z69", "position": [1, 1], "step": 74, "ordinal_position": 75}, {"identifier": "C53", "position": [1, 2], "step": 75, "ordinal_position": 76}, {"identifier": "X16", "position": [1, 3], "step": 76, "ordinal_position": 77}, {"identifier": "D71", "position": [1, 4], "step": 77, "ordinal_position": 78}, {"identifier": "X63", "position": [1, 5], "step": 78, "ordinal_position": 79}, {"identifier": "C03", "position": [2, 5], "step": 79, "ordinal_position": 80}, {"identifier": "J14", "position": [3, 5], "step": 80, "ordinal_position": 81}, {"identifier": "C42", "position": [4, 5], "step": 81, "ordinal_position": 82}, {"identifier": "R38", "position": [5, 5], "step": 82, "ordinal_position": 83}, {"identifier": "Q24", "position": [5, 4], "step": 83, "ordinal_position": 84}, {"identifier": "F45", "position": [5, 3], "step": 84, "ordinal_position": 85}, {"identifier": "F07", "position": [5, 2], "step": 85, "ordinal_position": 86}, {"identifier": "W80", "position": [5, 1], "step": 86, "ordinal_position": 87}, {"identifier": "Z83", "position": [4, 1], "step": 87, "ordinal_position": 88}, {"identifier": "W57", "position": [3, 1], "step": 88, "ordinal_position": 89}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 89, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_007.json"}} {"qa_id": "36716a55c1cf4a8cb2a4b7cbd748f953", "image_id": "L3-MazeLoop-test_7x7_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X63, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 69th position in this traversal?", "start_object_id": "X63", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [69], "ordinal_strings": ["69th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "R38", "traversal_path": [{"identifier": "X63", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "C03", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "J14", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "C42", "position": [4, 5], "step": 3, "ordinal_position": 4}, {"identifier": "R38", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "Q24", "position": [5, 4], "step": 5, "ordinal_position": 6}, {"identifier": "F45", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "F07", "position": [5, 2], "step": 7, "ordinal_position": 8}, {"identifier": "W80", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Z83", "position": [4, 1], "step": 9, "ordinal_position": 10}, {"identifier": "W57", "position": [3, 1], "step": 10, "ordinal_position": 11}, {"identifier": "J05", "position": [2, 1], "step": 11, "ordinal_position": 12}, {"identifier": "Z69", "position": [1, 1], "step": 12, "ordinal_position": 13}, {"identifier": "C53", "position": [1, 2], "step": 13, "ordinal_position": 14}, {"identifier": "X16", "position": [1, 3], "step": 14, "ordinal_position": 15}, {"identifier": "D71", "position": [1, 4], "step": 15, "ordinal_position": 16}, {"identifier": "X63", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "C03", "position": [2, 5], "step": 17, "ordinal_position": 18}, {"identifier": "J14", "position": [3, 5], "step": 18, "ordinal_position": 19}, {"identifier": "C42", "position": [4, 5], "step": 19, "ordinal_position": 20}, {"identifier": "R38", "position": [5, 5], "step": 20, "ordinal_position": 21}, {"identifier": "Q24", "position": [5, 4], "step": 21, "ordinal_position": 22}, {"identifier": "F45", "position": [5, 3], "step": 22, "ordinal_position": 23}, {"identifier": "F07", "position": [5, 2], "step": 23, "ordinal_position": 24}, {"identifier": "W80", "position": [5, 1], "step": 24, "ordinal_position": 25}, {"identifier": "Z83", "position": [4, 1], "step": 25, "ordinal_position": 26}, {"identifier": "W57", "position": [3, 1], "step": 26, "ordinal_position": 27}, {"identifier": "J05", "position": [2, 1], "step": 27, "ordinal_position": 28}, {"identifier": "Z69", "position": [1, 1], "step": 28, "ordinal_position": 29}, {"identifier": "C53", "position": [1, 2], "step": 29, "ordinal_position": 30}, {"identifier": "X16", "position": [1, 3], "step": 30, "ordinal_position": 31}, {"identifier": "D71", "position": [1, 4], "step": 31, "ordinal_position": 32}, {"identifier": "X63", "position": [1, 5], "step": 32, "ordinal_position": 33}, {"identifier": "C03", "position": [2, 5], "step": 33, "ordinal_position": 34}, {"identifier": "J14", "position": [3, 5], "step": 34, "ordinal_position": 35}, {"identifier": "C42", "position": [4, 5], "step": 35, "ordinal_position": 36}, {"identifier": "R38", "position": [5, 5], "step": 36, "ordinal_position": 37}, {"identifier": "Q24", "position": [5, 4], "step": 37, "ordinal_position": 38}, {"identifier": "F45", "position": [5, 3], "step": 38, "ordinal_position": 39}, {"identifier": "F07", "position": [5, 2], "step": 39, "ordinal_position": 40}, {"identifier": "W80", "position": [5, 1], "step": 40, "ordinal_position": 41}, {"identifier": "Z83", "position": [4, 1], "step": 41, "ordinal_position": 42}, {"identifier": "W57", "position": [3, 1], "step": 42, "ordinal_position": 43}, {"identifier": "J05", "position": [2, 1], "step": 43, "ordinal_position": 44}, {"identifier": "Z69", "position": [1, 1], "step": 44, "ordinal_position": 45}, {"identifier": "C53", "position": [1, 2], "step": 45, "ordinal_position": 46}, {"identifier": "X16", "position": [1, 3], "step": 46, "ordinal_position": 47}, {"identifier": "D71", "position": [1, 4], "step": 47, "ordinal_position": 48}, {"identifier": "X63", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "C03", "position": [2, 5], "step": 49, "ordinal_position": 50}, {"identifier": "J14", "position": [3, 5], "step": 50, "ordinal_position": 51}, {"identifier": "C42", "position": [4, 5], "step": 51, "ordinal_position": 52}, {"identifier": "R38", "position": [5, 5], "step": 52, "ordinal_position": 53}, {"identifier": "Q24", "position": [5, 4], "step": 53, "ordinal_position": 54}, {"identifier": "F45", "position": [5, 3], "step": 54, "ordinal_position": 55}, {"identifier": "F07", "position": [5, 2], "step": 55, "ordinal_position": 56}, {"identifier": "W80", "position": [5, 1], "step": 56, "ordinal_position": 57}, {"identifier": "Z83", "position": [4, 1], "step": 57, "ordinal_position": 58}, {"identifier": "W57", "position": [3, 1], "step": 58, "ordinal_position": 59}, {"identifier": "J05", "position": [2, 1], "step": 59, "ordinal_position": 60}, {"identifier": "Z69", "position": [1, 1], "step": 60, "ordinal_position": 61}, {"identifier": "C53", "position": [1, 2], "step": 61, "ordinal_position": 62}, {"identifier": "X16", "position": [1, 3], "step": 62, "ordinal_position": 63}, {"identifier": "D71", "position": [1, 4], "step": 63, "ordinal_position": 64}, {"identifier": "X63", "position": [1, 5], "step": 64, "ordinal_position": 65}, {"identifier": "C03", "position": [2, 5], "step": 65, "ordinal_position": 66}, {"identifier": "J14", "position": [3, 5], "step": 66, "ordinal_position": 67}, {"identifier": "C42", "position": [4, 5], "step": 67, "ordinal_position": 68}, {"identifier": "R38", "position": [5, 5], "step": 68, "ordinal_position": 69}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 69, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_007.json"}} {"qa_id": "40f68b0083ff42ea9f391d6bfbcbb072", "image_id": "L3-MazeLoop-test_7x7_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J05, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 212th position in this traversal?", "start_object_id": "J05", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [212], "ordinal_strings": ["212th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "W80", "traversal_path": [{"identifier": "J05", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "W57", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Z83", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "W80", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "F07", "position": [5, 2], "step": 4, "ordinal_position": 5}, {"identifier": "F45", "position": [5, 3], "step": 5, "ordinal_position": 6}, {"identifier": "Q24", "position": [5, 4], "step": 6, "ordinal_position": 7}, {"identifier": "R38", "position": [5, 5], "step": 7, "ordinal_position": 8}, {"identifier": "C42", "position": [4, 5], "step": 8, "ordinal_position": 9}, {"identifier": "J14", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "C03", "position": [2, 5], "step": 10, "ordinal_position": 11}, {"identifier": "X63", "position": [1, 5], "step": 11, "ordinal_position": 12}, {"identifier": "D71", "position": [1, 4], "step": 12, "ordinal_position": 13}, {"identifier": "X16", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "C53", "position": [1, 2], "step": 14, "ordinal_position": 15}, {"identifier": "Z69", "position": [1, 1], "step": 15, "ordinal_position": 16}, {"identifier": "J05", "position": [2, 1], "step": 16, "ordinal_position": 17}, {"identifier": "W57", "position": [3, 1], "step": 17, "ordinal_position": 18}, {"identifier": "Z83", "position": [4, 1], "step": 18, "ordinal_position": 19}, {"identifier": "W80", "position": [5, 1], "step": 19, "ordinal_position": 20}, {"identifier": "F07", "position": [5, 2], "step": 20, "ordinal_position": 21}, {"identifier": "F45", "position": [5, 3], "step": 21, "ordinal_position": 22}, {"identifier": "Q24", "position": [5, 4], "step": 22, "ordinal_position": 23}, {"identifier": "R38", "position": [5, 5], "step": 23, "ordinal_position": 24}, {"identifier": "C42", "position": [4, 5], "step": 24, "ordinal_position": 25}, {"identifier": "J14", "position": [3, 5], "step": 25, "ordinal_position": 26}, {"identifier": "C03", "position": [2, 5], "step": 26, "ordinal_position": 27}, {"identifier": "X63", "position": [1, 5], "step": 27, "ordinal_position": 28}, {"identifier": "D71", "position": [1, 4], "step": 28, "ordinal_position": 29}, {"identifier": "X16", "position": [1, 3], "step": 29, "ordinal_position": 30}, {"identifier": "C53", "position": [1, 2], "step": 30, "ordinal_position": 31}, {"identifier": "Z69", "position": [1, 1], "step": 31, "ordinal_position": 32}, {"identifier": "J05", "position": [2, 1], "step": 32, "ordinal_position": 33}, {"identifier": "W57", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "Z83", "position": [4, 1], "step": 34, "ordinal_position": 35}, {"identifier": "W80", "position": [5, 1], "step": 35, "ordinal_position": 36}, {"identifier": "F07", "position": [5, 2], "step": 36, "ordinal_position": 37}, {"identifier": "F45", "position": [5, 3], "step": 37, "ordinal_position": 38}, {"identifier": "Q24", "position": [5, 4], "step": 38, "ordinal_position": 39}, {"identifier": "R38", "position": [5, 5], "step": 39, "ordinal_position": 40}, {"identifier": "C42", "position": [4, 5], "step": 40, "ordinal_position": 41}, {"identifier": "J14", "position": [3, 5], "step": 41, "ordinal_position": 42}, {"identifier": "C03", "position": [2, 5], "step": 42, "ordinal_position": 43}, {"identifier": "X63", "position": [1, 5], "step": 43, "ordinal_position": 44}, {"identifier": "D71", "position": [1, 4], "step": 44, "ordinal_position": 45}, {"identifier": "X16", "position": [1, 3], "step": 45, "ordinal_position": 46}, {"identifier": "C53", "position": [1, 2], "step": 46, "ordinal_position": 47}, {"identifier": "Z69", "position": [1, 1], "step": 47, "ordinal_position": 48}, {"identifier": "J05", "position": [2, 1], "step": 48, "ordinal_position": 49}, {"identifier": "W57", "position": [3, 1], "step": 49, "ordinal_position": 50}, {"identifier": "Z83", "position": [4, 1], "step": 50, "ordinal_position": 51}, {"identifier": "W80", "position": [5, 1], "step": 51, "ordinal_position": 52}, {"identifier": "F07", "position": [5, 2], "step": 52, "ordinal_position": 53}, {"identifier": "F45", "position": [5, 3], "step": 53, "ordinal_position": 54}, {"identifier": "Q24", "position": [5, 4], "step": 54, "ordinal_position": 55}, {"identifier": "R38", "position": [5, 5], "step": 55, "ordinal_position": 56}, {"identifier": "C42", "position": [4, 5], "step": 56, "ordinal_position": 57}, {"identifier": "J14", "position": [3, 5], "step": 57, "ordinal_position": 58}, {"identifier": "C03", "position": [2, 5], "step": 58, "ordinal_position": 59}, {"identifier": "X63", "position": [1, 5], "step": 59, "ordinal_position": 60}, {"identifier": "D71", "position": [1, 4], "step": 60, "ordinal_position": 61}, {"identifier": "X16", "position": [1, 3], "step": 61, "ordinal_position": 62}, {"identifier": "C53", "position": [1, 2], "step": 62, "ordinal_position": 63}, {"identifier": "Z69", "position": [1, 1], "step": 63, "ordinal_position": 64}, {"identifier": "J05", "position": [2, 1], "step": 64, "ordinal_position": 65}, {"identifier": "W57", "position": [3, 1], "step": 65, "ordinal_position": 66}, {"identifier": "Z83", "position": [4, 1], "step": 66, "ordinal_position": 67}, {"identifier": "W80", "position": [5, 1], "step": 67, "ordinal_position": 68}, {"identifier": "F07", "position": [5, 2], "step": 68, "ordinal_position": 69}, {"identifier": "F45", "position": [5, 3], "step": 69, "ordinal_position": 70}, {"identifier": "Q24", "position": [5, 4], "step": 70, "ordinal_position": 71}, {"identifier": "R38", "position": [5, 5], "step": 71, "ordinal_position": 72}, {"identifier": "C42", "position": [4, 5], "step": 72, "ordinal_position": 73}, {"identifier": "J14", "position": [3, 5], "step": 73, "ordinal_position": 74}, {"identifier": "C03", "position": [2, 5], "step": 74, "ordinal_position": 75}, {"identifier": "X63", "position": [1, 5], "step": 75, "ordinal_position": 76}, {"identifier": "D71", "position": [1, 4], "step": 76, "ordinal_position": 77}, {"identifier": "X16", "position": [1, 3], "step": 77, "ordinal_position": 78}, {"identifier": "C53", "position": [1, 2], "step": 78, "ordinal_position": 79}, {"identifier": "Z69", "position": [1, 1], "step": 79, "ordinal_position": 80}, {"identifier": "J05", "position": [2, 1], "step": 80, "ordinal_position": 81}, {"identifier": "W57", "position": [3, 1], "step": 81, "ordinal_position": 82}, {"identifier": "Z83", "position": [4, 1], "step": 82, "ordinal_position": 83}, {"identifier": "W80", "position": [5, 1], "step": 83, "ordinal_position": 84}, {"identifier": "F07", "position": [5, 2], "step": 84, "ordinal_position": 85}, {"identifier": "F45", "position": [5, 3], "step": 85, "ordinal_position": 86}, {"identifier": "Q24", "position": [5, 4], "step": 86, "ordinal_position": 87}, {"identifier": "R38", "position": [5, 5], "step": 87, "ordinal_position": 88}, {"identifier": "C42", "position": [4, 5], "step": 88, "ordinal_position": 89}, {"identifier": "J14", "position": [3, 5], "step": 89, "ordinal_position": 90}, {"identifier": "C03", "position": [2, 5], "step": 90, "ordinal_position": 91}, {"identifier": "X63", "position": [1, 5], "step": 91, "ordinal_position": 92}, {"identifier": "D71", "position": [1, 4], "step": 92, "ordinal_position": 93}, {"identifier": "X16", "position": [1, 3], "step": 93, "ordinal_position": 94}, {"identifier": "C53", "position": [1, 2], "step": 94, "ordinal_position": 95}, {"identifier": "Z69", "position": [1, 1], "step": 95, "ordinal_position": 96}, {"identifier": "J05", "position": [2, 1], "step": 96, "ordinal_position": 97}, {"identifier": "W57", "position": [3, 1], "step": 97, "ordinal_position": 98}, {"identifier": "Z83", "position": [4, 1], "step": 98, "ordinal_position": 99}, {"identifier": "W80", "position": [5, 1], "step": 99, "ordinal_position": 100}, {"identifier": "F07", "position": [5, 2], "step": 100, "ordinal_position": 101}, {"identifier": "F45", "position": [5, 3], "step": 101, "ordinal_position": 102}, {"identifier": "Q24", "position": [5, 4], "step": 102, "ordinal_position": 103}, {"identifier": "R38", "position": [5, 5], "step": 103, "ordinal_position": 104}, {"identifier": "C42", "position": [4, 5], "step": 104, "ordinal_position": 105}, {"identifier": "J14", "position": [3, 5], "step": 105, "ordinal_position": 106}, {"identifier": "C03", "position": [2, 5], "step": 106, "ordinal_position": 107}, {"identifier": "X63", "position": [1, 5], "step": 107, "ordinal_position": 108}, {"identifier": "D71", "position": [1, 4], "step": 108, "ordinal_position": 109}, {"identifier": "X16", "position": [1, 3], "step": 109, "ordinal_position": 110}, {"identifier": "C53", "position": [1, 2], "step": 110, "ordinal_position": 111}, {"identifier": "Z69", "position": [1, 1], "step": 111, "ordinal_position": 112}, {"identifier": "J05", "position": [2, 1], "step": 112, "ordinal_position": 113}, {"identifier": "W57", "position": [3, 1], "step": 113, "ordinal_position": 114}, {"identifier": "Z83", "position": [4, 1], "step": 114, "ordinal_position": 115}, {"identifier": "W80", "position": [5, 1], "step": 115, "ordinal_position": 116}, {"identifier": "F07", "position": [5, 2], "step": 116, "ordinal_position": 117}, {"identifier": "F45", "position": [5, 3], "step": 117, "ordinal_position": 118}, {"identifier": "Q24", "position": [5, 4], "step": 118, "ordinal_position": 119}, {"identifier": "R38", "position": [5, 5], "step": 119, "ordinal_position": 120}, {"identifier": "C42", "position": [4, 5], "step": 120, "ordinal_position": 121}, {"identifier": "J14", "position": [3, 5], "step": 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134}, {"identifier": "Q24", "position": [5, 4], "step": 134, "ordinal_position": 135}, {"identifier": "R38", "position": [5, 5], "step": 135, "ordinal_position": 136}, {"identifier": "C42", "position": [4, 5], "step": 136, "ordinal_position": 137}, {"identifier": "J14", "position": [3, 5], "step": 137, "ordinal_position": 138}, {"identifier": "C03", "position": [2, 5], "step": 138, "ordinal_position": 139}, {"identifier": "X63", "position": [1, 5], "step": 139, "ordinal_position": 140}, {"identifier": "D71", "position": [1, 4], "step": 140, "ordinal_position": 141}, {"identifier": "X16", "position": [1, 3], "step": 141, "ordinal_position": 142}, {"identifier": "C53", "position": [1, 2], "step": 142, "ordinal_position": 143}, {"identifier": "Z69", "position": [1, 1], "step": 143, "ordinal_position": 144}, {"identifier": "J05", "position": [2, 1], "step": 144, "ordinal_position": 145}, {"identifier": "W57", "position": [3, 1], "step": 145, "ordinal_position": 146}, {"identifier": "Z83", "position": [4, 1], "step": 146, "ordinal_position": 147}, {"identifier": "W80", "position": [5, 1], "step": 147, "ordinal_position": 148}, {"identifier": "F07", "position": [5, 2], "step": 148, "ordinal_position": 149}, {"identifier": "F45", "position": [5, 3], "step": 149, "ordinal_position": 150}, {"identifier": "Q24", "position": [5, 4], "step": 150, "ordinal_position": 151}, {"identifier": "R38", "position": [5, 5], "step": 151, "ordinal_position": 152}, {"identifier": "C42", "position": [4, 5], "step": 152, "ordinal_position": 153}, {"identifier": "J14", "position": [3, 5], "step": 153, "ordinal_position": 154}, {"identifier": "C03", "position": [2, 5], "step": 154, "ordinal_position": 155}, {"identifier": "X63", "position": [1, 5], "step": 155, "ordinal_position": 156}, {"identifier": "D71", "position": [1, 4], "step": 156, "ordinal_position": 157}, {"identifier": "X16", "position": [1, 3], "step": 157, "ordinal_position": 158}, {"identifier": "C53", "position": [1, 2], "step": 158, "ordinal_position": 159}, {"identifier": "Z69", "position": [1, 1], "step": 159, "ordinal_position": 160}, {"identifier": "J05", "position": [2, 1], "step": 160, "ordinal_position": 161}, {"identifier": "W57", "position": [3, 1], "step": 161, "ordinal_position": 162}, {"identifier": "Z83", "position": [4, 1], "step": 162, "ordinal_position": 163}, {"identifier": "W80", "position": [5, 1], "step": 163, "ordinal_position": 164}, {"identifier": "F07", "position": [5, 2], "step": 164, "ordinal_position": 165}, {"identifier": "F45", "position": [5, 3], "step": 165, "ordinal_position": 166}, {"identifier": "Q24", "position": [5, 4], "step": 166, "ordinal_position": 167}, {"identifier": "R38", "position": [5, 5], "step": 167, "ordinal_position": 168}, {"identifier": "C42", "position": [4, 5], "step": 168, "ordinal_position": 169}, {"identifier": "J14", "position": [3, 5], "step": 169, "ordinal_position": 170}, {"identifier": "C03", "position": [2, 5], "step": 170, "ordinal_position": 171}, {"identifier": "X63", "position": [1, 5], "step": 171, "ordinal_position": 172}, {"identifier": "D71", "position": [1, 4], "step": 172, "ordinal_position": 173}, {"identifier": "X16", "position": [1, 3], "step": 173, "ordinal_position": 174}, {"identifier": "C53", "position": [1, 2], "step": 174, "ordinal_position": 175}, {"identifier": "Z69", "position": [1, 1], "step": 175, "ordinal_position": 176}, {"identifier": "J05", "position": [2, 1], "step": 176, "ordinal_position": 177}, {"identifier": "W57", "position": [3, 1], "step": 177, "ordinal_position": 178}, {"identifier": "Z83", "position": [4, 1], "step": 178, "ordinal_position": 179}, {"identifier": "W80", "position": [5, 1], "step": 179, "ordinal_position": 180}, {"identifier": "F07", "position": [5, 2], "step": 180, "ordinal_position": 181}, {"identifier": "F45", "position": [5, 3], "step": 181, "ordinal_position": 182}, {"identifier": "Q24", "position": [5, 4], "step": 182, "ordinal_position": 183}, {"identifier": "R38", "position": [5, 5], "step": 183, "ordinal_position": 184}, {"identifier": "C42", "position": [4, 5], "step": 184, "ordinal_position": 185}, {"identifier": "J14", "position": [3, 5], "step": 185, "ordinal_position": 186}, {"identifier": "C03", "position": [2, 5], "step": 186, "ordinal_position": 187}, {"identifier": "X63", "position": [1, 5], "step": 187, "ordinal_position": 188}, {"identifier": "D71", "position": [1, 4], "step": 188, "ordinal_position": 189}, {"identifier": "X16", "position": [1, 3], "step": 189, "ordinal_position": 190}, {"identifier": "C53", "position": [1, 2], "step": 190, "ordinal_position": 191}, {"identifier": "Z69", "position": [1, 1], "step": 191, "ordinal_position": 192}, {"identifier": "J05", "position": [2, 1], "step": 192, "ordinal_position": 193}, {"identifier": "W57", "position": [3, 1], "step": 193, "ordinal_position": 194}, {"identifier": "Z83", "position": [4, 1], "step": 194, "ordinal_position": 195}, {"identifier": "W80", "position": [5, 1], "step": 195, "ordinal_position": 196}, {"identifier": "F07", "position": [5, 2], "step": 196, "ordinal_position": 197}, {"identifier": "F45", "position": [5, 3], "step": 197, "ordinal_position": 198}, {"identifier": "Q24", "position": [5, 4], "step": 198, "ordinal_position": 199}, {"identifier": "R38", "position": [5, 5], "step": 199, "ordinal_position": 200}, {"identifier": "C42", "position": [4, 5], "step": 200, "ordinal_position": 201}, {"identifier": "J14", "position": [3, 5], "step": 201, "ordinal_position": 202}, {"identifier": "C03", "position": [2, 5], "step": 202, "ordinal_position": 203}, {"identifier": "X63", "position": [1, 5], "step": 203, "ordinal_position": 204}, {"identifier": "D71", "position": [1, 4], "step": 204, "ordinal_position": 205}, {"identifier": "X16", "position": [1, 3], "step": 205, "ordinal_position": 206}, {"identifier": "C53", "position": [1, 2], "step": 206, "ordinal_position": 207}, {"identifier": "Z69", "position": [1, 1], "step": 207, "ordinal_position": 208}, {"identifier": "J05", "position": [2, 1], "step": 208, "ordinal_position": 209}, {"identifier": "W57", "position": [3, 1], "step": 209, "ordinal_position": 210}, {"identifier": "Z83", "position": [4, 1], "step": 210, "ordinal_position": 211}, {"identifier": "W80", "position": [5, 1], "step": 211, "ordinal_position": 212}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 212, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_007.json"}} {"qa_id": "8411e27bfa004976be07b0e7942c8f7c", "image_id": "L3-MazeLoop-test_7x7_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F07, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 220th position in this traversal?", "start_object_id": "F07", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [220], "ordinal_strings": ["220th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Z69", "traversal_path": [{"identifier": "F07", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "F45", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "Q24", "position": [5, 4], "step": 2, "ordinal_position": 3}, {"identifier": "R38", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "C42", "position": [4, 5], "step": 4, "ordinal_position": 5}, {"identifier": "J14", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "C03", "position": [2, 5], "step": 6, "ordinal_position": 7}, {"identifier": "X63", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "D71", "position": [1, 4], "step": 8, "ordinal_position": 9}, {"identifier": "X16", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "C53", "position": [1, 2], "step": 10, "ordinal_position": 11}, {"identifier": "Z69", "position": [1, 1], "step": 11, "ordinal_position": 12}, {"identifier": "J05", "position": [2, 1], "step": 12, "ordinal_position": 13}, {"identifier": "W57", "position": [3, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Z83", "position": [4, 1], "step": 14, "ordinal_position": 15}, {"identifier": "W80", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "F07", "position": [5, 2], "step": 16, "ordinal_position": 17}, {"identifier": "F45", "position": [5, 3], "step": 17, "ordinal_position": 18}, {"identifier": "Q24", "position": [5, 4], "step": 18, "ordinal_position": 19}, {"identifier": "R38", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "C42", "position": [4, 5], "step": 20, "ordinal_position": 21}, {"identifier": "J14", "position": [3, 5], "step": 21, "ordinal_position": 22}, {"identifier": "C03", "position": [2, 5], "step": 22, "ordinal_position": 23}, {"identifier": "X63", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "D71", "position": [1, 4], "step": 24, "ordinal_position": 25}, {"identifier": "X16", "position": [1, 3], "step": 25, "ordinal_position": 26}, {"identifier": "C53", "position": [1, 2], "step": 26, "ordinal_position": 27}, {"identifier": "Z69", "position": [1, 1], "step": 27, "ordinal_position": 28}, {"identifier": "J05", "position": [2, 1], "step": 28, "ordinal_position": 29}, {"identifier": "W57", "position": [3, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Z83", "position": [4, 1], "step": 30, "ordinal_position": 31}, {"identifier": "W80", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "F07", "position": [5, 2], "step": 32, "ordinal_position": 33}, {"identifier": "F45", "position": [5, 3], "step": 33, "ordinal_position": 34}, {"identifier": "Q24", "position": [5, 4], "step": 34, "ordinal_position": 35}, {"identifier": "R38", "position": [5, 5], "step": 35, "ordinal_position": 36}, {"identifier": "C42", "position": [4, 5], "step": 36, "ordinal_position": 37}, {"identifier": "J14", "position": [3, 5], "step": 37, "ordinal_position": 38}, {"identifier": "C03", "position": [2, 5], "step": 38, "ordinal_position": 39}, {"identifier": "X63", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "D71", "position": [1, 4], "step": 40, "ordinal_position": 41}, {"identifier": "X16", "position": [1, 3], "step": 41, "ordinal_position": 42}, {"identifier": "C53", "position": [1, 2], "step": 42, "ordinal_position": 43}, {"identifier": "Z69", "position": [1, 1], "step": 43, "ordinal_position": 44}, {"identifier": "J05", "position": [2, 1], "step": 44, "ordinal_position": 45}, {"identifier": "W57", "position": [3, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Z83", "position": [4, 1], "step": 46, "ordinal_position": 47}, {"identifier": "W80", "position": [5, 1], "step": 47, "ordinal_position": 48}, {"identifier": "F07", "position": [5, 2], "step": 48, "ordinal_position": 49}, {"identifier": "F45", "position": [5, 3], "step": 49, "ordinal_position": 50}, {"identifier": "Q24", "position": [5, 4], "step": 50, "ordinal_position": 51}, {"identifier": "R38", "position": [5, 5], "step": 51, "ordinal_position": 52}, {"identifier": "C42", "position": [4, 5], "step": 52, "ordinal_position": 53}, {"identifier": "J14", 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66}, {"identifier": "Q24", "position": [5, 4], "step": 66, "ordinal_position": 67}, {"identifier": "R38", "position": [5, 5], "step": 67, "ordinal_position": 68}, {"identifier": "C42", "position": [4, 5], "step": 68, "ordinal_position": 69}, {"identifier": "J14", "position": [3, 5], "step": 69, "ordinal_position": 70}, {"identifier": "C03", "position": [2, 5], "step": 70, "ordinal_position": 71}, {"identifier": "X63", "position": [1, 5], "step": 71, "ordinal_position": 72}, {"identifier": "D71", "position": [1, 4], "step": 72, "ordinal_position": 73}, {"identifier": "X16", "position": [1, 3], "step": 73, "ordinal_position": 74}, {"identifier": "C53", "position": [1, 2], "step": 74, "ordinal_position": 75}, {"identifier": "Z69", "position": [1, 1], "step": 75, "ordinal_position": 76}, {"identifier": "J05", "position": [2, 1], "step": 76, "ordinal_position": 77}, {"identifier": "W57", "position": [3, 1], "step": 77, "ordinal_position": 78}, {"identifier": "Z83", "position": [4, 1], 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"position": [5, 2], "step": 128, "ordinal_position": 129}, {"identifier": "F45", "position": [5, 3], "step": 129, "ordinal_position": 130}, {"identifier": "Q24", "position": [5, 4], "step": 130, "ordinal_position": 131}, {"identifier": "R38", "position": [5, 5], "step": 131, "ordinal_position": 132}, {"identifier": "C42", "position": [4, 5], "step": 132, "ordinal_position": 133}, {"identifier": "J14", "position": [3, 5], "step": 133, "ordinal_position": 134}, {"identifier": "C03", "position": [2, 5], "step": 134, "ordinal_position": 135}, {"identifier": "X63", "position": [1, 5], "step": 135, "ordinal_position": 136}, {"identifier": "D71", "position": [1, 4], "step": 136, "ordinal_position": 137}, {"identifier": "X16", "position": [1, 3], "step": 137, "ordinal_position": 138}, {"identifier": "C53", "position": [1, 2], "step": 138, "ordinal_position": 139}, {"identifier": "Z69", "position": [1, 1], "step": 139, "ordinal_position": 140}, {"identifier": "J05", "position": [2, 1], "step": 140, "ordinal_position": 141}, {"identifier": "W57", "position": [3, 1], "step": 141, "ordinal_position": 142}, {"identifier": "Z83", "position": [4, 1], "step": 142, "ordinal_position": 143}, {"identifier": "W80", "position": [5, 1], "step": 143, "ordinal_position": 144}, {"identifier": "F07", "position": [5, 2], "step": 144, "ordinal_position": 145}, {"identifier": "F45", "position": [5, 3], "step": 145, "ordinal_position": 146}, {"identifier": "Q24", "position": [5, 4], "step": 146, "ordinal_position": 147}, {"identifier": "R38", "position": [5, 5], "step": 147, "ordinal_position": 148}, {"identifier": "C42", "position": [4, 5], "step": 148, "ordinal_position": 149}, {"identifier": "J14", "position": [3, 5], "step": 149, "ordinal_position": 150}, {"identifier": "C03", "position": [2, 5], "step": 150, "ordinal_position": 151}, {"identifier": "X63", "position": [1, 5], "step": 151, "ordinal_position": 152}, {"identifier": "D71", "position": [1, 4], "step": 152, "ordinal_position": 153}, {"identifier": "X16", "position": [1, 3], "step": 153, "ordinal_position": 154}, {"identifier": "C53", "position": [1, 2], "step": 154, "ordinal_position": 155}, {"identifier": "Z69", "position": [1, 1], "step": 155, "ordinal_position": 156}, {"identifier": "J05", "position": [2, 1], "step": 156, "ordinal_position": 157}, {"identifier": "W57", "position": [3, 1], "step": 157, "ordinal_position": 158}, {"identifier": "Z83", "position": [4, 1], "step": 158, "ordinal_position": 159}, {"identifier": "W80", "position": [5, 1], "step": 159, "ordinal_position": 160}, {"identifier": "F07", "position": [5, 2], "step": 160, "ordinal_position": 161}, {"identifier": "F45", "position": [5, 3], "step": 161, "ordinal_position": 162}, {"identifier": "Q24", "position": [5, 4], "step": 162, "ordinal_position": 163}, {"identifier": "R38", "position": [5, 5], "step": 163, "ordinal_position": 164}, {"identifier": "C42", "position": [4, 5], "step": 164, "ordinal_position": 165}, {"identifier": "J14", "position": [3, 5], "step": 165, "ordinal_position": 166}, {"identifier": "C03", "position": [2, 5], "step": 166, "ordinal_position": 167}, {"identifier": "X63", "position": [1, 5], "step": 167, "ordinal_position": 168}, {"identifier": "D71", "position": [1, 4], "step": 168, "ordinal_position": 169}, {"identifier": "X16", "position": [1, 3], "step": 169, "ordinal_position": 170}, {"identifier": "C53", "position": [1, 2], "step": 170, "ordinal_position": 171}, {"identifier": "Z69", "position": [1, 1], "step": 171, "ordinal_position": 172}, {"identifier": "J05", "position": [2, 1], "step": 172, "ordinal_position": 173}, {"identifier": "W57", "position": [3, 1], "step": 173, "ordinal_position": 174}, {"identifier": "Z83", "position": [4, 1], "step": 174, "ordinal_position": 175}, {"identifier": "W80", "position": [5, 1], "step": 175, "ordinal_position": 176}, {"identifier": "F07", "position": [5, 2], "step": 176, "ordinal_position": 177}, {"identifier": "F45", "position": [5, 3], "step": 177, "ordinal_position": 178}, {"identifier": "Q24", "position": [5, 4], "step": 178, "ordinal_position": 179}, {"identifier": "R38", "position": [5, 5], "step": 179, "ordinal_position": 180}, {"identifier": "C42", "position": [4, 5], "step": 180, "ordinal_position": 181}, {"identifier": "J14", "position": [3, 5], "step": 181, "ordinal_position": 182}, {"identifier": "C03", "position": [2, 5], "step": 182, "ordinal_position": 183}, {"identifier": "X63", "position": [1, 5], "step": 183, "ordinal_position": 184}, {"identifier": "D71", "position": [1, 4], "step": 184, "ordinal_position": 185}, {"identifier": "X16", "position": [1, 3], "step": 185, "ordinal_position": 186}, {"identifier": "C53", "position": [1, 2], "step": 186, "ordinal_position": 187}, {"identifier": "Z69", "position": [1, 1], "step": 187, "ordinal_position": 188}, {"identifier": "J05", "position": [2, 1], "step": 188, "ordinal_position": 189}, {"identifier": "W57", "position": [3, 1], "step": 189, "ordinal_position": 190}, {"identifier": "Z83", "position": [4, 1], "step": 190, "ordinal_position": 191}, {"identifier": "W80", "position": [5, 1], "step": 191, "ordinal_position": 192}, {"identifier": "F07", "position": [5, 2], "step": 192, "ordinal_position": 193}, {"identifier": "F45", "position": [5, 3], "step": 193, "ordinal_position": 194}, {"identifier": "Q24", "position": [5, 4], "step": 194, "ordinal_position": 195}, {"identifier": "R38", "position": [5, 5], "step": 195, "ordinal_position": 196}, {"identifier": "C42", "position": [4, 5], "step": 196, "ordinal_position": 197}, {"identifier": "J14", "position": [3, 5], "step": 197, "ordinal_position": 198}, {"identifier": "C03", "position": [2, 5], "step": 198, "ordinal_position": 199}, {"identifier": "X63", "position": [1, 5], "step": 199, "ordinal_position": 200}, {"identifier": "D71", "position": [1, 4], "step": 200, "ordinal_position": 201}, {"identifier": "X16", "position": [1, 3], "step": 201, "ordinal_position": 202}, {"identifier": "C53", "position": [1, 2], "step": 202, "ordinal_position": 203}, {"identifier": "Z69", "position": [1, 1], "step": 203, "ordinal_position": 204}, {"identifier": "J05", "position": [2, 1], "step": 204, "ordinal_position": 205}, {"identifier": "W57", "position": [3, 1], "step": 205, "ordinal_position": 206}, {"identifier": "Z83", "position": [4, 1], "step": 206, "ordinal_position": 207}, {"identifier": "W80", "position": [5, 1], "step": 207, "ordinal_position": 208}, {"identifier": "F07", "position": [5, 2], "step": 208, "ordinal_position": 209}, {"identifier": "F45", "position": [5, 3], "step": 209, "ordinal_position": 210}, {"identifier": "Q24", "position": [5, 4], "step": 210, "ordinal_position": 211}, {"identifier": "R38", "position": [5, 5], "step": 211, "ordinal_position": 212}, {"identifier": "C42", "position": [4, 5], "step": 212, "ordinal_position": 213}, {"identifier": "J14", "position": [3, 5], "step": 213, "ordinal_position": 214}, {"identifier": "C03", "position": [2, 5], "step": 214, "ordinal_position": 215}, {"identifier": "X63", "position": [1, 5], "step": 215, "ordinal_position": 216}, {"identifier": "D71", "position": [1, 4], "step": 216, "ordinal_position": 217}, {"identifier": "X16", "position": [1, 3], "step": 217, "ordinal_position": 218}, {"identifier": "C53", "position": [1, 2], "step": 218, "ordinal_position": 219}, {"identifier": "Z69", "position": [1, 1], "step": 219, "ordinal_position": 220}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 220, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_007.json"}} {"qa_id": "17f54bbf268d414f99fe6ea4be9fe47f", "image_id": "L3-MazeLoop-test_7x7_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C42, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 158th position in this traversal?", "start_object_id": "C42", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [158], "ordinal_strings": ["158th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "F45", "traversal_path": [{"identifier": "C42", "position": [4, 5], "step": 0, "ordinal_position": 1}, {"identifier": "J14", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "C03", "position": [2, 5], "step": 2, "ordinal_position": 3}, {"identifier": "X63", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "D71", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "X16", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "C53", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "Z69", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "J05", "position": [2, 1], "step": 8, "ordinal_position": 9}, {"identifier": "W57", "position": [3, 1], "step": 9, "ordinal_position": 10}, {"identifier": "Z83", "position": [4, 1], "step": 10, "ordinal_position": 11}, {"identifier": "W80", "position": [5, 1], "step": 11, "ordinal_position": 12}, {"identifier": "F07", "position": [5, 2], "step": 12, "ordinal_position": 13}, {"identifier": "F45", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "Q24", "position": [5, 4], "step": 14, "ordinal_position": 15}, {"identifier": "R38", "position": [5, 5], "step": 15, "ordinal_position": 16}, {"identifier": "C42", "position": [4, 5], "step": 16, "ordinal_position": 17}, {"identifier": "J14", "position": [3, 5], "step": 17, "ordinal_position": 18}, {"identifier": "C03", "position": [2, 5], "step": 18, "ordinal_position": 19}, {"identifier": "X63", "position": [1, 5], "step": 19, "ordinal_position": 20}, {"identifier": "D71", "position": [1, 4], "step": 20, "ordinal_position": 21}, {"identifier": "X16", "position": [1, 3], "step": 21, "ordinal_position": 22}, {"identifier": "C53", "position": [1, 2], "step": 22, "ordinal_position": 23}, {"identifier": "Z69", "position": [1, 1], "step": 23, "ordinal_position": 24}, {"identifier": "J05", "position": [2, 1], "step": 24, "ordinal_position": 25}, {"identifier": "W57", "position": [3, 1], "step": 25, "ordinal_position": 26}, {"identifier": "Z83", "position": [4, 1], "step": 26, "ordinal_position": 27}, {"identifier": "W80", "position": [5, 1], "step": 27, "ordinal_position": 28}, {"identifier": "F07", "position": [5, 2], "step": 28, "ordinal_position": 29}, {"identifier": "F45", "position": [5, 3], "step": 29, "ordinal_position": 30}, {"identifier": "Q24", "position": [5, 4], "step": 30, "ordinal_position": 31}, {"identifier": "R38", "position": [5, 5], "step": 31, "ordinal_position": 32}, {"identifier": "C42", "position": [4, 5], "step": 32, "ordinal_position": 33}, {"identifier": "J14", "position": [3, 5], "step": 33, "ordinal_position": 34}, {"identifier": "C03", "position": [2, 5], "step": 34, "ordinal_position": 35}, {"identifier": "X63", "position": [1, 5], "step": 35, "ordinal_position": 36}, {"identifier": "D71", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "X16", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "C53", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "Z69", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "J05", "position": [2, 1], "step": 40, "ordinal_position": 41}, {"identifier": "W57", "position": [3, 1], "step": 41, "ordinal_position": 42}, {"identifier": "Z83", "position": [4, 1], "step": 42, "ordinal_position": 43}, {"identifier": "W80", "position": [5, 1], "step": 43, "ordinal_position": 44}, {"identifier": "F07", "position": [5, 2], "step": 44, "ordinal_position": 45}, {"identifier": "F45", "position": [5, 3], "step": 45, "ordinal_position": 46}, {"identifier": "Q24", "position": [5, 4], "step": 46, "ordinal_position": 47}, {"identifier": "R38", "position": [5, 5], "step": 47, "ordinal_position": 48}, {"identifier": "C42", "position": [4, 5], "step": 48, "ordinal_position": 49}, {"identifier": "J14", "position": [3, 5], "step": 49, "ordinal_position": 50}, {"identifier": "C03", "position": [2, 5], "step": 50, "ordinal_position": 51}, {"identifier": "X63", "position": [1, 5], "step": 51, "ordinal_position": 52}, {"identifier": "D71", "position": [1, 4], "step": 52, "ordinal_position": 53}, {"identifier": "X16", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "C53", "position": [1, 2], "step": 54, "ordinal_position": 55}, {"identifier": "Z69", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "J05", "position": [2, 1], "step": 56, "ordinal_position": 57}, {"identifier": "W57", "position": [3, 1], "step": 57, "ordinal_position": 58}, {"identifier": "Z83", "position": [4, 1], "step": 58, "ordinal_position": 59}, {"identifier": "W80", "position": [5, 1], "step": 59, "ordinal_position": 60}, {"identifier": "F07", "position": [5, 2], "step": 60, "ordinal_position": 61}, {"identifier": "F45", "position": [5, 3], "step": 61, "ordinal_position": 62}, {"identifier": "Q24", "position": [5, 4], "step": 62, "ordinal_position": 63}, {"identifier": "R38", "position": [5, 5], "step": 63, "ordinal_position": 64}, {"identifier": "C42", "position": [4, 5], "step": 64, "ordinal_position": 65}, {"identifier": "J14", "position": [3, 5], "step": 65, "ordinal_position": 66}, {"identifier": "C03", "position": [2, 5], "step": 66, "ordinal_position": 67}, {"identifier": "X63", "position": [1, 5], "step": 67, "ordinal_position": 68}, {"identifier": "D71", "position": [1, 4], "step": 68, "ordinal_position": 69}, {"identifier": "X16", "position": [1, 3], "step": 69, "ordinal_position": 70}, {"identifier": "C53", "position": [1, 2], "step": 70, "ordinal_position": 71}, {"identifier": "Z69", "position": [1, 1], "step": 71, "ordinal_position": 72}, {"identifier": "J05", "position": [2, 1], "step": 72, "ordinal_position": 73}, {"identifier": "W57", "position": [3, 1], "step": 73, "ordinal_position": 74}, {"identifier": "Z83", "position": [4, 1], "step": 74, "ordinal_position": 75}, {"identifier": "W80", "position": [5, 1], "step": 75, "ordinal_position": 76}, {"identifier": "F07", "position": [5, 2], "step": 76, "ordinal_position": 77}, {"identifier": "F45", "position": [5, 3], "step": 77, "ordinal_position": 78}, {"identifier": "Q24", "position": [5, 4], "step": 78, "ordinal_position": 79}, {"identifier": "R38", "position": [5, 5], "step": 79, "ordinal_position": 80}, {"identifier": "C42", "position": [4, 5], "step": 80, "ordinal_position": 81}, {"identifier": "J14", "position": [3, 5], "step": 81, "ordinal_position": 82}, {"identifier": "C03", "position": [2, 5], "step": 82, "ordinal_position": 83}, {"identifier": "X63", "position": [1, 5], "step": 83, "ordinal_position": 84}, {"identifier": "D71", "position": [1, 4], "step": 84, "ordinal_position": 85}, {"identifier": "X16", "position": [1, 3], "step": 85, "ordinal_position": 86}, {"identifier": "C53", "position": [1, 2], "step": 86, "ordinal_position": 87}, {"identifier": "Z69", "position": [1, 1], "step": 87, "ordinal_position": 88}, {"identifier": "J05", "position": [2, 1], "step": 88, "ordinal_position": 89}, {"identifier": "W57", "position": [3, 1], "step": 89, "ordinal_position": 90}, {"identifier": "Z83", "position": [4, 1], "step": 90, "ordinal_position": 91}, {"identifier": "W80", "position": [5, 1], "step": 91, "ordinal_position": 92}, {"identifier": "F07", "position": [5, 2], "step": 92, "ordinal_position": 93}, {"identifier": "F45", "position": [5, 3], "step": 93, "ordinal_position": 94}, {"identifier": "Q24", "position": [5, 4], "step": 94, "ordinal_position": 95}, {"identifier": "R38", "position": [5, 5], "step": 95, "ordinal_position": 96}, {"identifier": "C42", "position": [4, 5], "step": 96, "ordinal_position": 97}, {"identifier": "J14", "position": [3, 5], "step": 97, "ordinal_position": 98}, {"identifier": "C03", "position": [2, 5], "step": 98, "ordinal_position": 99}, {"identifier": "X63", "position": [1, 5], "step": 99, "ordinal_position": 100}, {"identifier": "D71", "position": [1, 4], "step": 100, "ordinal_position": 101}, {"identifier": "X16", "position": [1, 3], "step": 101, "ordinal_position": 102}, {"identifier": "C53", "position": [1, 2], "step": 102, "ordinal_position": 103}, {"identifier": "Z69", "position": [1, 1], "step": 103, "ordinal_position": 104}, {"identifier": "J05", "position": [2, 1], "step": 104, "ordinal_position": 105}, {"identifier": "W57", "position": [3, 1], "step": 105, "ordinal_position": 106}, {"identifier": "Z83", "position": [4, 1], "step": 106, "ordinal_position": 107}, {"identifier": "W80", "position": [5, 1], "step": 107, "ordinal_position": 108}, {"identifier": "F07", "position": [5, 2], "step": 108, "ordinal_position": 109}, {"identifier": "F45", "position": [5, 3], "step": 109, "ordinal_position": 110}, {"identifier": "Q24", "position": [5, 4], "step": 110, "ordinal_position": 111}, {"identifier": "R38", "position": [5, 5], "step": 111, "ordinal_position": 112}, {"identifier": "C42", "position": [4, 5], "step": 112, "ordinal_position": 113}, {"identifier": "J14", "position": [3, 5], "step": 113, "ordinal_position": 114}, {"identifier": "C03", "position": [2, 5], "step": 114, "ordinal_position": 115}, {"identifier": "X63", "position": [1, 5], "step": 115, "ordinal_position": 116}, {"identifier": "D71", "position": [1, 4], "step": 116, "ordinal_position": 117}, {"identifier": "X16", "position": [1, 3], "step": 117, "ordinal_position": 118}, {"identifier": "C53", "position": [1, 2], "step": 118, "ordinal_position": 119}, {"identifier": "Z69", "position": [1, 1], "step": 119, "ordinal_position": 120}, {"identifier": "J05", "position": [2, 1], "step": 120, "ordinal_position": 121}, {"identifier": "W57", "position": [3, 1], "step": 121, "ordinal_position": 122}, {"identifier": "Z83", "position": [4, 1], "step": 122, "ordinal_position": 123}, {"identifier": "W80", "position": [5, 1], "step": 123, "ordinal_position": 124}, {"identifier": "F07", "position": [5, 2], "step": 124, "ordinal_position": 125}, {"identifier": "F45", "position": [5, 3], "step": 125, "ordinal_position": 126}, {"identifier": "Q24", "position": [5, 4], "step": 126, "ordinal_position": 127}, {"identifier": "R38", "position": [5, 5], "step": 127, "ordinal_position": 128}, {"identifier": "C42", "position": [4, 5], "step": 128, "ordinal_position": 129}, {"identifier": "J14", "position": [3, 5], "step": 129, "ordinal_position": 130}, {"identifier": "C03", "position": [2, 5], "step": 130, "ordinal_position": 131}, {"identifier": "X63", "position": [1, 5], "step": 131, "ordinal_position": 132}, {"identifier": "D71", "position": [1, 4], "step": 132, "ordinal_position": 133}, {"identifier": "X16", "position": [1, 3], "step": 133, "ordinal_position": 134}, {"identifier": "C53", "position": [1, 2], "step": 134, "ordinal_position": 135}, {"identifier": "Z69", "position": [1, 1], "step": 135, "ordinal_position": 136}, {"identifier": "J05", "position": [2, 1], "step": 136, "ordinal_position": 137}, {"identifier": "W57", "position": [3, 1], "step": 137, "ordinal_position": 138}, {"identifier": "Z83", "position": [4, 1], "step": 138, "ordinal_position": 139}, {"identifier": "W80", "position": [5, 1], "step": 139, "ordinal_position": 140}, {"identifier": "F07", "position": [5, 2], "step": 140, "ordinal_position": 141}, {"identifier": "F45", "position": [5, 3], "step": 141, "ordinal_position": 142}, {"identifier": "Q24", "position": [5, 4], "step": 142, "ordinal_position": 143}, {"identifier": "R38", "position": [5, 5], "step": 143, "ordinal_position": 144}, {"identifier": "C42", "position": [4, 5], "step": 144, "ordinal_position": 145}, {"identifier": "J14", "position": [3, 5], "step": 145, "ordinal_position": 146}, {"identifier": "C03", "position": [2, 5], "step": 146, "ordinal_position": 147}, {"identifier": "X63", "position": [1, 5], "step": 147, "ordinal_position": 148}, {"identifier": "D71", "position": [1, 4], "step": 148, "ordinal_position": 149}, {"identifier": "X16", "position": [1, 3], "step": 149, "ordinal_position": 150}, {"identifier": "C53", "position": [1, 2], "step": 150, "ordinal_position": 151}, {"identifier": "Z69", "position": [1, 1], "step": 151, "ordinal_position": 152}, {"identifier": "J05", "position": [2, 1], "step": 152, "ordinal_position": 153}, {"identifier": "W57", "position": [3, 1], "step": 153, "ordinal_position": 154}, {"identifier": "Z83", "position": [4, 1], "step": 154, "ordinal_position": 155}, {"identifier": "W80", "position": [5, 1], "step": 155, "ordinal_position": 156}, {"identifier": "F07", "position": [5, 2], "step": 156, "ordinal_position": 157}, {"identifier": "F45", "position": [5, 3], "step": 157, "ordinal_position": 158}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 158, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_007.json"}} {"qa_id": "a9b75fdc245b4ec3988be5b801b867b9", "image_id": "L3-MazeLoop-test_7x7_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W57, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 191st position in this traversal?", "start_object_id": "W57", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [191], "ordinal_strings": ["191st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "W80", "traversal_path": [{"identifier": "W57", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "J05", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Z69", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "C53", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "X16", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "D71", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "X63", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "C03", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "J14", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "C42", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "R38", "position": [5, 5], "step": 10, "ordinal_position": 11}, {"identifier": "Q24", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "F45", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "F07", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "W80", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "Z83", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "W57", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "J05", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "Z69", "position": [1, 1], "step": 18, "ordinal_position": 19}, {"identifier": "C53", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "X16", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "D71", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "X63", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "C03", "position": [2, 5], "step": 23, "ordinal_position": 24}, {"identifier": "J14", "position": [3, 5], "step": 24, "ordinal_position": 25}, {"identifier": "C42", "position": [4, 5], "step": 25, "ordinal_position": 26}, {"identifier": "R38", "position": [5, 5], "step": 26, "ordinal_position": 27}, {"identifier": "Q24", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "F45", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "F07", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "W80", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Z83", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "W57", "position": [3, 1], "step": 32, "ordinal_position": 33}, {"identifier": "J05", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "Z69", "position": [1, 1], "step": 34, "ordinal_position": 35}, {"identifier": "C53", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "X16", "position": [1, 3], "step": 36, "ordinal_position": 37}, {"identifier": "D71", "position": [1, 4], "step": 37, "ordinal_position": 38}, {"identifier": "X63", "position": [1, 5], "step": 38, "ordinal_position": 39}, {"identifier": "C03", "position": [2, 5], "step": 39, "ordinal_position": 40}, {"identifier": "J14", "position": [3, 5], "step": 40, "ordinal_position": 41}, {"identifier": "C42", "position": [4, 5], "step": 41, "ordinal_position": 42}, {"identifier": "R38", "position": [5, 5], "step": 42, "ordinal_position": 43}, {"identifier": "Q24", "position": [5, 4], "step": 43, "ordinal_position": 44}, {"identifier": "F45", "position": [5, 3], "step": 44, "ordinal_position": 45}, {"identifier": "F07", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "W80", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Z83", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "W57", "position": [3, 1], "step": 48, "ordinal_position": 49}, {"identifier": "J05", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "Z69", "position": [1, 1], "step": 50, "ordinal_position": 51}, {"identifier": "C53", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "X16", "position": [1, 3], "step": 52, "ordinal_position": 53}, {"identifier": "D71", "position": [1, 4], "step": 53, "ordinal_position": 54}, {"identifier": "X63", "position": [1, 5], "step": 54, "ordinal_position": 55}, {"identifier": "C03", "position": [2, 5], "step": 55, "ordinal_position": 56}, {"identifier": "J14", "position": [3, 5], "step": 56, "ordinal_position": 57}, {"identifier": "C42", "position": [4, 5], "step": 57, "ordinal_position": 58}, {"identifier": "R38", "position": [5, 5], "step": 58, "ordinal_position": 59}, {"identifier": "Q24", "position": [5, 4], "step": 59, "ordinal_position": 60}, {"identifier": "F45", "position": [5, 3], "step": 60, "ordinal_position": 61}, {"identifier": "F07", "position": [5, 2], "step": 61, "ordinal_position": 62}, {"identifier": "W80", "position": [5, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Z83", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "W57", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "J05", "position": [2, 1], "step": 65, "ordinal_position": 66}, {"identifier": "Z69", "position": [1, 1], "step": 66, "ordinal_position": 67}, {"identifier": "C53", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "X16", "position": [1, 3], "step": 68, "ordinal_position": 69}, {"identifier": "D71", "position": [1, 4], "step": 69, "ordinal_position": 70}, {"identifier": "X63", "position": [1, 5], "step": 70, "ordinal_position": 71}, {"identifier": "C03", "position": [2, 5], "step": 71, "ordinal_position": 72}, {"identifier": "J14", "position": [3, 5], "step": 72, "ordinal_position": 73}, {"identifier": "C42", "position": [4, 5], "step": 73, "ordinal_position": 74}, {"identifier": "R38", "position": [5, 5], "step": 74, "ordinal_position": 75}, {"identifier": "Q24", "position": [5, 4], "step": 75, "ordinal_position": 76}, {"identifier": "F45", "position": [5, 3], "step": 76, "ordinal_position": 77}, {"identifier": "F07", "position": [5, 2], "step": 77, "ordinal_position": 78}, {"identifier": "W80", "position": [5, 1], "step": 78, "ordinal_position": 79}, {"identifier": "Z83", "position": [4, 1], "step": 79, "ordinal_position": 80}, {"identifier": "W57", "position": [3, 1], "step": 80, "ordinal_position": 81}, {"identifier": "J05", "position": [2, 1], "step": 81, "ordinal_position": 82}, {"identifier": "Z69", "position": [1, 1], "step": 82, "ordinal_position": 83}, {"identifier": "C53", "position": [1, 2], "step": 83, "ordinal_position": 84}, {"identifier": "X16", "position": [1, 3], "step": 84, "ordinal_position": 85}, {"identifier": "D71", "position": [1, 4], "step": 85, "ordinal_position": 86}, {"identifier": "X63", "position": [1, 5], "step": 86, "ordinal_position": 87}, {"identifier": "C03", "position": [2, 5], "step": 87, "ordinal_position": 88}, {"identifier": "J14", "position": [3, 5], "step": 88, "ordinal_position": 89}, {"identifier": "C42", "position": [4, 5], "step": 89, "ordinal_position": 90}, {"identifier": "R38", "position": [5, 5], "step": 90, "ordinal_position": 91}, {"identifier": "Q24", "position": [5, 4], "step": 91, "ordinal_position": 92}, {"identifier": "F45", "position": [5, 3], "step": 92, "ordinal_position": 93}, {"identifier": "F07", "position": [5, 2], "step": 93, "ordinal_position": 94}, {"identifier": "W80", "position": [5, 1], "step": 94, "ordinal_position": 95}, {"identifier": "Z83", "position": [4, 1], "step": 95, "ordinal_position": 96}, {"identifier": "W57", "position": [3, 1], "step": 96, "ordinal_position": 97}, {"identifier": "J05", "position": [2, 1], "step": 97, "ordinal_position": 98}, {"identifier": "Z69", "position": [1, 1], "step": 98, "ordinal_position": 99}, {"identifier": "C53", "position": [1, 2], "step": 99, "ordinal_position": 100}, {"identifier": "X16", "position": [1, 3], "step": 100, "ordinal_position": 101}, {"identifier": "D71", "position": [1, 4], "step": 101, "ordinal_position": 102}, {"identifier": "X63", "position": [1, 5], "step": 102, "ordinal_position": 103}, {"identifier": "C03", "position": [2, 5], "step": 103, "ordinal_position": 104}, {"identifier": "J14", "position": [3, 5], "step": 104, "ordinal_position": 105}, {"identifier": "C42", "position": [4, 5], "step": 105, "ordinal_position": 106}, {"identifier": "R38", "position": [5, 5], "step": 106, "ordinal_position": 107}, {"identifier": "Q24", "position": [5, 4], "step": 107, "ordinal_position": 108}, {"identifier": "F45", "position": [5, 3], "step": 108, "ordinal_position": 109}, {"identifier": "F07", "position": [5, 2], "step": 109, "ordinal_position": 110}, {"identifier": "W80", "position": [5, 1], "step": 110, "ordinal_position": 111}, {"identifier": "Z83", "position": [4, 1], "step": 111, "ordinal_position": 112}, {"identifier": "W57", "position": [3, 1], "step": 112, "ordinal_position": 113}, {"identifier": "J05", "position": [2, 1], "step": 113, "ordinal_position": 114}, {"identifier": "Z69", "position": [1, 1], "step": 114, "ordinal_position": 115}, {"identifier": "C53", "position": [1, 2], "step": 115, "ordinal_position": 116}, {"identifier": "X16", "position": [1, 3], "step": 116, "ordinal_position": 117}, {"identifier": "D71", "position": [1, 4], "step": 117, "ordinal_position": 118}, {"identifier": "X63", "position": [1, 5], "step": 118, "ordinal_position": 119}, {"identifier": "C03", "position": [2, 5], "step": 119, "ordinal_position": 120}, {"identifier": "J14", "position": [3, 5], "step": 120, "ordinal_position": 121}, {"identifier": "C42", "position": [4, 5], "step": 121, "ordinal_position": 122}, {"identifier": "R38", "position": [5, 5], "step": 122, "ordinal_position": 123}, {"identifier": "Q24", "position": [5, 4], "step": 123, "ordinal_position": 124}, {"identifier": "F45", "position": [5, 3], "step": 124, "ordinal_position": 125}, {"identifier": "F07", "position": [5, 2], "step": 125, "ordinal_position": 126}, {"identifier": "W80", "position": [5, 1], "step": 126, "ordinal_position": 127}, {"identifier": "Z83", "position": [4, 1], "step": 127, "ordinal_position": 128}, {"identifier": "W57", "position": [3, 1], "step": 128, "ordinal_position": 129}, {"identifier": "J05", "position": [2, 1], "step": 129, "ordinal_position": 130}, {"identifier": "Z69", "position": [1, 1], "step": 130, "ordinal_position": 131}, {"identifier": "C53", "position": [1, 2], "step": 131, "ordinal_position": 132}, {"identifier": "X16", "position": [1, 3], "step": 132, "ordinal_position": 133}, {"identifier": "D71", "position": [1, 4], "step": 133, "ordinal_position": 134}, {"identifier": "X63", "position": [1, 5], "step": 134, "ordinal_position": 135}, {"identifier": "C03", "position": [2, 5], "step": 135, "ordinal_position": 136}, {"identifier": "J14", "position": [3, 5], "step": 136, "ordinal_position": 137}, {"identifier": "C42", "position": [4, 5], "step": 137, "ordinal_position": 138}, {"identifier": "R38", "position": [5, 5], "step": 138, "ordinal_position": 139}, {"identifier": "Q24", "position": [5, 4], "step": 139, "ordinal_position": 140}, {"identifier": "F45", "position": [5, 3], "step": 140, "ordinal_position": 141}, {"identifier": "F07", "position": [5, 2], "step": 141, "ordinal_position": 142}, {"identifier": "W80", "position": [5, 1], "step": 142, "ordinal_position": 143}, {"identifier": "Z83", "position": [4, 1], "step": 143, "ordinal_position": 144}, {"identifier": "W57", "position": [3, 1], "step": 144, "ordinal_position": 145}, {"identifier": "J05", "position": [2, 1], "step": 145, "ordinal_position": 146}, {"identifier": "Z69", "position": [1, 1], "step": 146, "ordinal_position": 147}, {"identifier": "C53", "position": [1, 2], "step": 147, "ordinal_position": 148}, {"identifier": "X16", "position": [1, 3], "step": 148, "ordinal_position": 149}, {"identifier": "D71", "position": [1, 4], "step": 149, "ordinal_position": 150}, {"identifier": "X63", "position": [1, 5], "step": 150, "ordinal_position": 151}, {"identifier": "C03", "position": [2, 5], "step": 151, "ordinal_position": 152}, {"identifier": "J14", "position": [3, 5], "step": 152, "ordinal_position": 153}, {"identifier": "C42", "position": [4, 5], "step": 153, "ordinal_position": 154}, {"identifier": "R38", "position": [5, 5], "step": 154, "ordinal_position": 155}, {"identifier": "Q24", "position": [5, 4], "step": 155, "ordinal_position": 156}, {"identifier": "F45", "position": [5, 3], "step": 156, "ordinal_position": 157}, {"identifier": "F07", "position": [5, 2], "step": 157, "ordinal_position": 158}, {"identifier": "W80", "position": [5, 1], "step": 158, "ordinal_position": 159}, {"identifier": "Z83", "position": [4, 1], "step": 159, "ordinal_position": 160}, {"identifier": "W57", "position": [3, 1], "step": 160, "ordinal_position": 161}, {"identifier": "J05", "position": [2, 1], "step": 161, "ordinal_position": 162}, {"identifier": "Z69", "position": [1, 1], "step": 162, "ordinal_position": 163}, {"identifier": "C53", "position": [1, 2], "step": 163, "ordinal_position": 164}, {"identifier": "X16", "position": [1, 3], "step": 164, "ordinal_position": 165}, {"identifier": "D71", "position": [1, 4], "step": 165, "ordinal_position": 166}, {"identifier": "X63", "position": [1, 5], "step": 166, "ordinal_position": 167}, {"identifier": "C03", "position": [2, 5], "step": 167, "ordinal_position": 168}, {"identifier": "J14", "position": [3, 5], "step": 168, "ordinal_position": 169}, {"identifier": "C42", "position": [4, 5], "step": 169, "ordinal_position": 170}, {"identifier": "R38", "position": [5, 5], "step": 170, "ordinal_position": 171}, {"identifier": "Q24", "position": [5, 4], "step": 171, "ordinal_position": 172}, {"identifier": "F45", "position": [5, 3], "step": 172, "ordinal_position": 173}, {"identifier": "F07", "position": [5, 2], "step": 173, "ordinal_position": 174}, {"identifier": "W80", "position": [5, 1], "step": 174, "ordinal_position": 175}, {"identifier": "Z83", "position": [4, 1], "step": 175, "ordinal_position": 176}, {"identifier": "W57", "position": [3, 1], "step": 176, "ordinal_position": 177}, {"identifier": "J05", "position": [2, 1], "step": 177, "ordinal_position": 178}, {"identifier": "Z69", "position": [1, 1], "step": 178, "ordinal_position": 179}, {"identifier": "C53", "position": [1, 2], "step": 179, "ordinal_position": 180}, {"identifier": "X16", "position": [1, 3], "step": 180, "ordinal_position": 181}, {"identifier": "D71", "position": [1, 4], "step": 181, "ordinal_position": 182}, {"identifier": "X63", "position": [1, 5], "step": 182, "ordinal_position": 183}, {"identifier": "C03", "position": [2, 5], "step": 183, "ordinal_position": 184}, {"identifier": "J14", "position": [3, 5], "step": 184, "ordinal_position": 185}, {"identifier": "C42", "position": [4, 5], "step": 185, "ordinal_position": 186}, {"identifier": "R38", "position": [5, 5], "step": 186, "ordinal_position": 187}, {"identifier": "Q24", "position": [5, 4], "step": 187, "ordinal_position": 188}, {"identifier": "F45", "position": [5, 3], "step": 188, "ordinal_position": 189}, {"identifier": "F07", "position": [5, 2], "step": 189, "ordinal_position": 190}, {"identifier": "W80", "position": [5, 1], "step": 190, "ordinal_position": 191}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 191, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_007.json"}} {"qa_id": "f58fa9aa10ac41a79a25731d448bed52", "image_id": "L3-MazeLoop-test_7x7_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X63, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 118th position in this traversal?", "start_object_id": "X63", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [118], "ordinal_strings": ["118th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Q24", "traversal_path": [{"identifier": "X63", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "C03", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "J14", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "C42", "position": [4, 5], "step": 3, "ordinal_position": 4}, {"identifier": "R38", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "Q24", "position": [5, 4], "step": 5, "ordinal_position": 6}, {"identifier": "F45", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "F07", "position": [5, 2], "step": 7, "ordinal_position": 8}, {"identifier": "W80", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Z83", "position": [4, 1], "step": 9, "ordinal_position": 10}, {"identifier": "W57", "position": [3, 1], "step": 10, "ordinal_position": 11}, {"identifier": "J05", "position": [2, 1], "step": 11, "ordinal_position": 12}, {"identifier": "Z69", "position": [1, 1], "step": 12, "ordinal_position": 13}, {"identifier": "C53", "position": [1, 2], "step": 13, "ordinal_position": 14}, {"identifier": "X16", "position": [1, 3], "step": 14, "ordinal_position": 15}, {"identifier": "D71", "position": [1, 4], "step": 15, "ordinal_position": 16}, {"identifier": "X63", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "C03", "position": [2, 5], "step": 17, "ordinal_position": 18}, {"identifier": "J14", "position": [3, 5], "step": 18, "ordinal_position": 19}, {"identifier": "C42", "position": [4, 5], "step": 19, "ordinal_position": 20}, {"identifier": "R38", "position": [5, 5], "step": 20, "ordinal_position": 21}, {"identifier": "Q24", "position": [5, 4], "step": 21, "ordinal_position": 22}, {"identifier": "F45", "position": [5, 3], "step": 22, "ordinal_position": 23}, {"identifier": "F07", "position": [5, 2], "step": 23, "ordinal_position": 24}, {"identifier": "W80", "position": [5, 1], "step": 24, "ordinal_position": 25}, {"identifier": "Z83", "position": [4, 1], "step": 25, "ordinal_position": 26}, {"identifier": "W57", "position": [3, 1], "step": 26, "ordinal_position": 27}, {"identifier": "J05", "position": [2, 1], "step": 27, "ordinal_position": 28}, {"identifier": "Z69", "position": [1, 1], "step": 28, "ordinal_position": 29}, {"identifier": "C53", "position": [1, 2], "step": 29, "ordinal_position": 30}, {"identifier": "X16", "position": [1, 3], "step": 30, "ordinal_position": 31}, {"identifier": "D71", "position": [1, 4], "step": 31, "ordinal_position": 32}, {"identifier": "X63", "position": [1, 5], "step": 32, "ordinal_position": 33}, {"identifier": "C03", "position": [2, 5], "step": 33, "ordinal_position": 34}, {"identifier": "J14", "position": [3, 5], "step": 34, "ordinal_position": 35}, {"identifier": "C42", "position": [4, 5], "step": 35, "ordinal_position": 36}, {"identifier": "R38", "position": [5, 5], "step": 36, "ordinal_position": 37}, {"identifier": "Q24", "position": [5, 4], "step": 37, "ordinal_position": 38}, {"identifier": "F45", "position": [5, 3], "step": 38, "ordinal_position": 39}, {"identifier": "F07", "position": [5, 2], "step": 39, "ordinal_position": 40}, {"identifier": "W80", "position": [5, 1], "step": 40, "ordinal_position": 41}, {"identifier": "Z83", "position": [4, 1], "step": 41, "ordinal_position": 42}, {"identifier": "W57", "position": [3, 1], "step": 42, "ordinal_position": 43}, {"identifier": "J05", "position": [2, 1], "step": 43, "ordinal_position": 44}, {"identifier": "Z69", "position": [1, 1], "step": 44, "ordinal_position": 45}, {"identifier": "C53", "position": [1, 2], "step": 45, "ordinal_position": 46}, {"identifier": "X16", "position": [1, 3], "step": 46, "ordinal_position": 47}, {"identifier": "D71", "position": [1, 4], "step": 47, "ordinal_position": 48}, {"identifier": "X63", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "C03", "position": [2, 5], "step": 49, "ordinal_position": 50}, {"identifier": "J14", "position": [3, 5], "step": 50, "ordinal_position": 51}, {"identifier": "C42", "position": [4, 5], "step": 51, "ordinal_position": 52}, {"identifier": "R38", "position": [5, 5], "step": 52, "ordinal_position": 53}, {"identifier": "Q24", "position": [5, 4], "step": 53, "ordinal_position": 54}, {"identifier": "F45", "position": [5, 3], "step": 54, "ordinal_position": 55}, {"identifier": "F07", "position": [5, 2], "step": 55, "ordinal_position": 56}, {"identifier": "W80", "position": [5, 1], "step": 56, "ordinal_position": 57}, {"identifier": "Z83", "position": [4, 1], "step": 57, "ordinal_position": 58}, {"identifier": "W57", "position": [3, 1], "step": 58, "ordinal_position": 59}, {"identifier": "J05", "position": [2, 1], "step": 59, "ordinal_position": 60}, {"identifier": "Z69", "position": [1, 1], "step": 60, "ordinal_position": 61}, {"identifier": "C53", "position": [1, 2], "step": 61, "ordinal_position": 62}, {"identifier": "X16", "position": [1, 3], "step": 62, "ordinal_position": 63}, {"identifier": "D71", "position": [1, 4], "step": 63, "ordinal_position": 64}, {"identifier": "X63", "position": [1, 5], "step": 64, "ordinal_position": 65}, {"identifier": "C03", "position": [2, 5], "step": 65, "ordinal_position": 66}, {"identifier": "J14", "position": [3, 5], "step": 66, "ordinal_position": 67}, {"identifier": "C42", "position": [4, 5], "step": 67, "ordinal_position": 68}, {"identifier": "R38", "position": [5, 5], "step": 68, "ordinal_position": 69}, {"identifier": "Q24", "position": [5, 4], "step": 69, "ordinal_position": 70}, {"identifier": "F45", "position": [5, 3], "step": 70, "ordinal_position": 71}, {"identifier": "F07", "position": [5, 2], "step": 71, "ordinal_position": 72}, {"identifier": "W80", "position": [5, 1], "step": 72, "ordinal_position": 73}, {"identifier": "Z83", "position": [4, 1], "step": 73, "ordinal_position": 74}, {"identifier": "W57", "position": [3, 1], "step": 74, "ordinal_position": 75}, {"identifier": "J05", "position": [2, 1], "step": 75, "ordinal_position": 76}, {"identifier": "Z69", "position": [1, 1], "step": 76, "ordinal_position": 77}, {"identifier": "C53", "position": [1, 2], "step": 77, "ordinal_position": 78}, {"identifier": "X16", "position": [1, 3], "step": 78, "ordinal_position": 79}, {"identifier": "D71", "position": [1, 4], "step": 79, "ordinal_position": 80}, {"identifier": "X63", "position": [1, 5], "step": 80, "ordinal_position": 81}, {"identifier": "C03", "position": [2, 5], "step": 81, "ordinal_position": 82}, {"identifier": "J14", "position": [3, 5], "step": 82, "ordinal_position": 83}, {"identifier": "C42", "position": [4, 5], "step": 83, "ordinal_position": 84}, {"identifier": "R38", "position": [5, 5], "step": 84, "ordinal_position": 85}, {"identifier": "Q24", "position": [5, 4], "step": 85, "ordinal_position": 86}, {"identifier": "F45", "position": [5, 3], "step": 86, "ordinal_position": 87}, {"identifier": "F07", "position": [5, 2], "step": 87, "ordinal_position": 88}, {"identifier": "W80", "position": [5, 1], "step": 88, "ordinal_position": 89}, {"identifier": "Z83", "position": [4, 1], "step": 89, "ordinal_position": 90}, {"identifier": "W57", "position": [3, 1], "step": 90, "ordinal_position": 91}, {"identifier": "J05", "position": [2, 1], "step": 91, "ordinal_position": 92}, {"identifier": "Z69", "position": [1, 1], "step": 92, "ordinal_position": 93}, {"identifier": "C53", "position": [1, 2], "step": 93, "ordinal_position": 94}, {"identifier": "X16", "position": [1, 3], "step": 94, "ordinal_position": 95}, {"identifier": "D71", "position": [1, 4], "step": 95, "ordinal_position": 96}, {"identifier": "X63", "position": [1, 5], "step": 96, "ordinal_position": 97}, {"identifier": "C03", "position": [2, 5], "step": 97, "ordinal_position": 98}, {"identifier": "J14", "position": [3, 5], "step": 98, "ordinal_position": 99}, {"identifier": "C42", "position": [4, 5], "step": 99, "ordinal_position": 100}, {"identifier": "R38", "position": [5, 5], "step": 100, "ordinal_position": 101}, {"identifier": "Q24", "position": [5, 4], "step": 101, "ordinal_position": 102}, {"identifier": "F45", "position": [5, 3], "step": 102, "ordinal_position": 103}, {"identifier": "F07", "position": [5, 2], "step": 103, "ordinal_position": 104}, {"identifier": "W80", "position": [5, 1], "step": 104, "ordinal_position": 105}, {"identifier": "Z83", "position": [4, 1], "step": 105, "ordinal_position": 106}, {"identifier": "W57", "position": [3, 1], "step": 106, "ordinal_position": 107}, {"identifier": "J05", "position": [2, 1], "step": 107, "ordinal_position": 108}, {"identifier": "Z69", "position": [1, 1], "step": 108, "ordinal_position": 109}, {"identifier": "C53", "position": [1, 2], "step": 109, "ordinal_position": 110}, {"identifier": "X16", "position": [1, 3], "step": 110, "ordinal_position": 111}, {"identifier": "D71", "position": [1, 4], "step": 111, "ordinal_position": 112}, {"identifier": "X63", "position": [1, 5], "step": 112, "ordinal_position": 113}, {"identifier": "C03", "position": [2, 5], "step": 113, "ordinal_position": 114}, {"identifier": "J14", "position": [3, 5], "step": 114, "ordinal_position": 115}, {"identifier": "C42", "position": [4, 5], "step": 115, "ordinal_position": 116}, {"identifier": "R38", "position": [5, 5], "step": 116, "ordinal_position": 117}, {"identifier": "Q24", "position": [5, 4], "step": 117, "ordinal_position": 118}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 118, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_007.json"}} {"qa_id": "7c54e53e37174ad7bfff1cb3fe920508", "image_id": "L3-MazeLoop-test_7x7_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P99, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "P99", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "X47", "traversal_path": [{"identifier": "P99", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "Q49", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "P52", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "T86", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "X47", "position": [5, 4], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_008.json"}} {"qa_id": "46ba6cf33a294ec89d8b229e22afac95", "image_id": "L3-MazeLoop-test_7x7_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V30, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "V30", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K92", "traversal_path": [{"identifier": "V30", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "H87", "position": [3, 2], "step": 1, "ordinal_position": 2}, {"identifier": "U27", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "J59", "position": [2, 3], "step": 3, "ordinal_position": 4}, {"identifier": "A81", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "D97", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "K92", "position": [1, 5], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_008.json"}} {"qa_id": "123a79c83fe14d34b0a9697f5188df33", "image_id": "L3-MazeLoop-test_7x7_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A81, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "A81", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Q69", "traversal_path": [{"identifier": "A81", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "D66", "position": [1, 2], "step": 1, "ordinal_position": 2}, {"identifier": "T42", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Q69", "position": [2, 1], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_008.json"}} {"qa_id": "80f38276ebd247a38e17d1c36a922924", "image_id": "L3-MazeLoop-test_7x7_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T42, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "T42", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "D97", "traversal_path": [{"identifier": "T42", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "D66", "position": [1, 2], "step": 1, "ordinal_position": 2}, {"identifier": "A81", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "D97", "position": [1, 4], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_008.json"}} {"qa_id": "e99d175d187a4e008ed559dc9ec2ae96", "image_id": "L3-MazeLoop-test_7x7_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D97, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "D97", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Q69", "traversal_path": [{"identifier": "D97", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "A81", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "D66", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "T42", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Q69", "position": [2, 1], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_008.json"}} {"qa_id": "177621be7d804c3ebc4813cd0603bc0a", "image_id": "L3-MazeLoop-test_7x7_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K92, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 32nd position in this traversal?", "start_object_id": "K92", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [32], "ordinal_strings": ["32nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "D97", "traversal_path": [{"identifier": "K92", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "P99", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "Q49", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "P52", "position": [4, 5], "step": 3, "ordinal_position": 4}, {"identifier": "T86", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "X47", "position": [5, 4], "step": 5, "ordinal_position": 6}, {"identifier": "C58", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "P82", "position": [5, 2], "step": 7, "ordinal_position": 8}, {"identifier": "K58", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "E65", "position": [4, 1], "step": 9, "ordinal_position": 10}, {"identifier": "V30", "position": [3, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Q69", "position": [2, 1], "step": 11, "ordinal_position": 12}, {"identifier": "T42", "position": [1, 1], "step": 12, "ordinal_position": 13}, {"identifier": "D66", "position": [1, 2], "step": 13, "ordinal_position": 14}, {"identifier": "A81", "position": [1, 3], "step": 14, "ordinal_position": 15}, {"identifier": "D97", "position": [1, 4], "step": 15, "ordinal_position": 16}, {"identifier": "K92", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "P99", "position": [2, 5], "step": 17, "ordinal_position": 18}, {"identifier": "Q49", "position": [3, 5], "step": 18, "ordinal_position": 19}, {"identifier": "P52", "position": [4, 5], "step": 19, "ordinal_position": 20}, {"identifier": "T86", "position": [5, 5], "step": 20, "ordinal_position": 21}, {"identifier": "X47", "position": [5, 4], "step": 21, "ordinal_position": 22}, {"identifier": "C58", "position": [5, 3], "step": 22, "ordinal_position": 23}, {"identifier": "P82", "position": [5, 2], "step": 23, "ordinal_position": 24}, {"identifier": "K58", "position": [5, 1], "step": 24, "ordinal_position": 25}, {"identifier": "E65", "position": [4, 1], "step": 25, "ordinal_position": 26}, {"identifier": "V30", "position": [3, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Q69", "position": [2, 1], "step": 27, "ordinal_position": 28}, {"identifier": "T42", "position": [1, 1], "step": 28, "ordinal_position": 29}, {"identifier": "D66", "position": [1, 2], "step": 29, "ordinal_position": 30}, {"identifier": "A81", "position": [1, 3], "step": 30, "ordinal_position": 31}, {"identifier": "D97", "position": [1, 4], "step": 31, "ordinal_position": 32}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 32, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_008.json"}} {"qa_id": "138d94638ec448b2829a7a932f5ac921", "image_id": "L3-MazeLoop-test_7x7_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X47, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 37th position in this traversal?", "start_object_id": "X47", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [37], "ordinal_strings": ["37th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "E65", "traversal_path": [{"identifier": "X47", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "C58", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "P82", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "K58", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "E65", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "V30", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Q69", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "T42", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "D66", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "A81", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "D97", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "K92", "position": [1, 5], "step": 11, "ordinal_position": 12}, {"identifier": "P99", "position": [2, 5], "step": 12, "ordinal_position": 13}, {"identifier": "Q49", "position": [3, 5], "step": 13, "ordinal_position": 14}, {"identifier": "P52", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "T86", "position": [5, 5], "step": 15, "ordinal_position": 16}, {"identifier": "X47", "position": [5, 4], "step": 16, "ordinal_position": 17}, {"identifier": "C58", "position": [5, 3], "step": 17, "ordinal_position": 18}, {"identifier": "P82", "position": [5, 2], "step": 18, "ordinal_position": 19}, {"identifier": "K58", "position": [5, 1], "step": 19, "ordinal_position": 20}, {"identifier": "E65", "position": [4, 1], "step": 20, "ordinal_position": 21}, {"identifier": "V30", "position": [3, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Q69", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "T42", "position": [1, 1], "step": 23, "ordinal_position": 24}, {"identifier": "D66", "position": [1, 2], "step": 24, "ordinal_position": 25}, {"identifier": "A81", "position": [1, 3], "step": 25, "ordinal_position": 26}, {"identifier": "D97", "position": [1, 4], "step": 26, "ordinal_position": 27}, {"identifier": "K92", "position": [1, 5], "step": 27, "ordinal_position": 28}, {"identifier": "P99", "position": [2, 5], "step": 28, "ordinal_position": 29}, {"identifier": "Q49", "position": [3, 5], "step": 29, "ordinal_position": 30}, {"identifier": "P52", "position": [4, 5], "step": 30, "ordinal_position": 31}, {"identifier": "T86", "position": [5, 5], "step": 31, "ordinal_position": 32}, {"identifier": "X47", "position": [5, 4], "step": 32, "ordinal_position": 33}, {"identifier": "C58", "position": [5, 3], "step": 33, "ordinal_position": 34}, {"identifier": "P82", "position": [5, 2], "step": 34, "ordinal_position": 35}, {"identifier": "K58", "position": [5, 1], "step": 35, "ordinal_position": 36}, {"identifier": "E65", "position": [4, 1], "step": 36, "ordinal_position": 37}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 37, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_008.json"}} {"qa_id": "f3d96d19aeb5475893c0dfa99b1fd016", "image_id": "L3-MazeLoop-test_7x7_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P99, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 26th position in this traversal?", "start_object_id": "P99", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [26], "ordinal_strings": ["26th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K58", "traversal_path": [{"identifier": "P99", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "K92", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "D97", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "A81", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "D66", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "T42", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Q69", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "V30", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "E65", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "K58", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "P82", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "C58", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "X47", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "T86", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "P52", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "Q49", "position": [3, 5], "step": 15, "ordinal_position": 16}, {"identifier": "P99", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "K92", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "D97", "position": [1, 4], "step": 18, "ordinal_position": 19}, {"identifier": "A81", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "D66", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "T42", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Q69", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "V30", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "E65", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "K58", "position": [5, 1], "step": 25, "ordinal_position": 26}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 26, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_008.json"}} {"qa_id": "dbaf8272074e4dd9b8d11d9c4a1dc01e", "image_id": "L3-MazeLoop-test_7x7_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P82, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 27th position in this traversal?", "start_object_id": "P82", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [27], "ordinal_strings": ["27th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "D66", "traversal_path": [{"identifier": "P82", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "C58", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "X47", "position": [5, 4], "step": 2, "ordinal_position": 3}, {"identifier": "T86", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "P52", "position": [4, 5], "step": 4, "ordinal_position": 5}, {"identifier": "Q49", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "P99", "position": [2, 5], "step": 6, "ordinal_position": 7}, {"identifier": "K92", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "D97", "position": [1, 4], "step": 8, "ordinal_position": 9}, {"identifier": "A81", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "D66", "position": [1, 2], "step": 10, "ordinal_position": 11}, {"identifier": "T42", "position": [1, 1], "step": 11, "ordinal_position": 12}, {"identifier": "Q69", "position": [2, 1], "step": 12, "ordinal_position": 13}, {"identifier": "V30", "position": [3, 1], "step": 13, "ordinal_position": 14}, {"identifier": "E65", "position": [4, 1], "step": 14, "ordinal_position": 15}, {"identifier": "K58", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "P82", "position": [5, 2], "step": 16, "ordinal_position": 17}, {"identifier": "C58", "position": [5, 3], "step": 17, "ordinal_position": 18}, {"identifier": "X47", "position": [5, 4], "step": 18, "ordinal_position": 19}, {"identifier": "T86", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "P52", "position": [4, 5], "step": 20, "ordinal_position": 21}, {"identifier": "Q49", "position": [3, 5], "step": 21, "ordinal_position": 22}, {"identifier": "P99", "position": [2, 5], "step": 22, "ordinal_position": 23}, {"identifier": "K92", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "D97", "position": [1, 4], "step": 24, "ordinal_position": 25}, {"identifier": "A81", "position": [1, 3], "step": 25, "ordinal_position": 26}, {"identifier": "D66", "position": [1, 2], "step": 26, "ordinal_position": 27}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 27, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_008.json"}} {"qa_id": "a3fab39adb5347808159760567696fab", "image_id": "L3-MazeLoop-test_7x7_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V30, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 92nd position in this traversal?", "start_object_id": "V30", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [92], "ordinal_strings": ["92nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "X47", "traversal_path": [{"identifier": "V30", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Q69", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "T42", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "D66", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "A81", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "D97", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "K92", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "P99", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "Q49", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "P52", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "T86", "position": [5, 5], "step": 10, "ordinal_position": 11}, {"identifier": "X47", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "C58", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "P82", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "K58", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "E65", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "V30", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "Q69", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "T42", "position": [1, 1], "step": 18, "ordinal_position": 19}, {"identifier": "D66", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "A81", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "D97", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "K92", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "P99", "position": [2, 5], "step": 23, "ordinal_position": 24}, {"identifier": "Q49", "position": [3, 5], "step": 24, "ordinal_position": 25}, {"identifier": "P52", "position": [4, 5], "step": 25, "ordinal_position": 26}, {"identifier": "T86", "position": [5, 5], "step": 26, "ordinal_position": 27}, {"identifier": "X47", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "C58", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "P82", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "K58", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "E65", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "V30", "position": [3, 1], "step": 32, "ordinal_position": 33}, {"identifier": "Q69", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "T42", "position": [1, 1], "step": 34, "ordinal_position": 35}, {"identifier": "D66", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "A81", "position": [1, 3], "step": 36, "ordinal_position": 37}, {"identifier": "D97", "position": [1, 4], "step": 37, "ordinal_position": 38}, {"identifier": "K92", "position": [1, 5], "step": 38, "ordinal_position": 39}, {"identifier": "P99", "position": [2, 5], "step": 39, "ordinal_position": 40}, {"identifier": "Q49", "position": [3, 5], "step": 40, "ordinal_position": 41}, {"identifier": "P52", "position": [4, 5], "step": 41, "ordinal_position": 42}, {"identifier": "T86", "position": [5, 5], "step": 42, "ordinal_position": 43}, {"identifier": "X47", "position": [5, 4], "step": 43, "ordinal_position": 44}, {"identifier": "C58", "position": [5, 3], "step": 44, "ordinal_position": 45}, {"identifier": "P82", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "K58", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "E65", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "V30", "position": [3, 1], "step": 48, "ordinal_position": 49}, {"identifier": "Q69", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "T42", "position": [1, 1], "step": 50, "ordinal_position": 51}, {"identifier": "D66", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "A81", "position": [1, 3], "step": 52, "ordinal_position": 53}, {"identifier": "D97", "position": [1, 4], "step": 53, "ordinal_position": 54}, {"identifier": "K92", "position": [1, 5], "step": 54, "ordinal_position": 55}, {"identifier": "P99", "position": [2, 5], "step": 55, "ordinal_position": 56}, {"identifier": "Q49", "position": [3, 5], "step": 56, "ordinal_position": 57}, {"identifier": "P52", "position": [4, 5], "step": 57, "ordinal_position": 58}, {"identifier": "T86", "position": [5, 5], "step": 58, "ordinal_position": 59}, {"identifier": "X47", "position": [5, 4], "step": 59, "ordinal_position": 60}, {"identifier": "C58", "position": [5, 3], "step": 60, "ordinal_position": 61}, {"identifier": "P82", "position": [5, 2], "step": 61, "ordinal_position": 62}, {"identifier": "K58", "position": [5, 1], "step": 62, "ordinal_position": 63}, {"identifier": "E65", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "V30", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "Q69", "position": [2, 1], "step": 65, "ordinal_position": 66}, {"identifier": "T42", "position": [1, 1], "step": 66, "ordinal_position": 67}, {"identifier": "D66", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "A81", "position": [1, 3], "step": 68, "ordinal_position": 69}, {"identifier": "D97", "position": [1, 4], "step": 69, "ordinal_position": 70}, {"identifier": "K92", "position": [1, 5], "step": 70, "ordinal_position": 71}, {"identifier": "P99", "position": [2, 5], "step": 71, "ordinal_position": 72}, {"identifier": "Q49", "position": [3, 5], "step": 72, "ordinal_position": 73}, {"identifier": "P52", "position": [4, 5], "step": 73, "ordinal_position": 74}, {"identifier": "T86", "position": [5, 5], "step": 74, "ordinal_position": 75}, {"identifier": "X47", "position": [5, 4], "step": 75, "ordinal_position": 76}, {"identifier": "C58", "position": [5, 3], "step": 76, "ordinal_position": 77}, {"identifier": "P82", "position": [5, 2], "step": 77, "ordinal_position": 78}, {"identifier": "K58", "position": [5, 1], "step": 78, "ordinal_position": 79}, {"identifier": "E65", "position": [4, 1], "step": 79, "ordinal_position": 80}, {"identifier": "V30", "position": [3, 1], "step": 80, "ordinal_position": 81}, {"identifier": "Q69", "position": [2, 1], "step": 81, "ordinal_position": 82}, {"identifier": "T42", "position": [1, 1], "step": 82, "ordinal_position": 83}, {"identifier": "D66", "position": [1, 2], "step": 83, "ordinal_position": 84}, {"identifier": "A81", "position": [1, 3], "step": 84, "ordinal_position": 85}, {"identifier": "D97", "position": [1, 4], "step": 85, "ordinal_position": 86}, {"identifier": "K92", "position": [1, 5], "step": 86, "ordinal_position": 87}, {"identifier": "P99", "position": [2, 5], "step": 87, "ordinal_position": 88}, {"identifier": "Q49", "position": [3, 5], "step": 88, "ordinal_position": 89}, {"identifier": "P52", "position": [4, 5], "step": 89, "ordinal_position": 90}, {"identifier": "T86", "position": [5, 5], "step": 90, "ordinal_position": 91}, {"identifier": "X47", "position": [5, 4], "step": 91, "ordinal_position": 92}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 92, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_008.json"}} {"qa_id": "ef4be07b6aee4c86ba044cd3e68bb324", "image_id": "L3-MazeLoop-test_7x7_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K58, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 138th position in this traversal?", "start_object_id": "K58", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [138], "ordinal_strings": ["138th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "P99", "traversal_path": [{"identifier": "K58", "position": [5, 1], "step": 0, "ordinal_position": 1}, {"identifier": "E65", "position": [4, 1], "step": 1, "ordinal_position": 2}, {"identifier": "V30", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Q69", "position": [2, 1], "step": 3, "ordinal_position": 4}, {"identifier": "T42", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "D66", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "A81", "position": [1, 3], "step": 6, "ordinal_position": 7}, {"identifier": "D97", "position": [1, 4], "step": 7, "ordinal_position": 8}, {"identifier": "K92", "position": [1, 5], "step": 8, "ordinal_position": 9}, {"identifier": "P99", "position": [2, 5], "step": 9, "ordinal_position": 10}, {"identifier": "Q49", "position": [3, 5], "step": 10, "ordinal_position": 11}, {"identifier": "P52", "position": [4, 5], "step": 11, "ordinal_position": 12}, {"identifier": "T86", "position": [5, 5], "step": 12, "ordinal_position": 13}, {"identifier": "X47", "position": [5, 4], "step": 13, "ordinal_position": 14}, {"identifier": "C58", "position": [5, 3], "step": 14, "ordinal_position": 15}, {"identifier": "P82", "position": [5, 2], "step": 15, "ordinal_position": 16}, {"identifier": "K58", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "E65", "position": [4, 1], "step": 17, "ordinal_position": 18}, {"identifier": "V30", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "Q69", "position": [2, 1], "step": 19, "ordinal_position": 20}, {"identifier": "T42", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "D66", "position": [1, 2], "step": 21, "ordinal_position": 22}, {"identifier": "A81", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "D97", "position": [1, 4], "step": 23, "ordinal_position": 24}, {"identifier": "K92", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "P99", "position": [2, 5], "step": 25, "ordinal_position": 26}, {"identifier": "Q49", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "P52", "position": [4, 5], "step": 27, "ordinal_position": 28}, {"identifier": "T86", "position": [5, 5], "step": 28, "ordinal_position": 29}, {"identifier": "X47", "position": [5, 4], "step": 29, "ordinal_position": 30}, {"identifier": "C58", "position": [5, 3], "step": 30, "ordinal_position": 31}, {"identifier": "P82", "position": [5, 2], "step": 31, "ordinal_position": 32}, {"identifier": "K58", "position": [5, 1], "step": 32, "ordinal_position": 33}, {"identifier": "E65", "position": [4, 1], "step": 33, "ordinal_position": 34}, {"identifier": "V30", "position": [3, 1], "step": 34, "ordinal_position": 35}, {"identifier": "Q69", "position": [2, 1], "step": 35, "ordinal_position": 36}, {"identifier": "T42", "position": [1, 1], "step": 36, "ordinal_position": 37}, {"identifier": "D66", "position": [1, 2], "step": 37, "ordinal_position": 38}, {"identifier": "A81", "position": [1, 3], "step": 38, "ordinal_position": 39}, {"identifier": "D97", "position": [1, 4], "step": 39, "ordinal_position": 40}, {"identifier": "K92", "position": [1, 5], "step": 40, "ordinal_position": 41}, {"identifier": "P99", "position": [2, 5], "step": 41, "ordinal_position": 42}, {"identifier": "Q49", "position": [3, 5], "step": 42, "ordinal_position": 43}, {"identifier": "P52", "position": [4, 5], "step": 43, "ordinal_position": 44}, {"identifier": "T86", "position": [5, 5], "step": 44, "ordinal_position": 45}, {"identifier": "X47", "position": [5, 4], "step": 45, "ordinal_position": 46}, {"identifier": "C58", "position": [5, 3], "step": 46, "ordinal_position": 47}, {"identifier": "P82", "position": [5, 2], "step": 47, "ordinal_position": 48}, {"identifier": "K58", "position": [5, 1], "step": 48, "ordinal_position": 49}, {"identifier": "E65", "position": [4, 1], "step": 49, "ordinal_position": 50}, {"identifier": "V30", "position": [3, 1], "step": 50, "ordinal_position": 51}, {"identifier": "Q69", "position": [2, 1], "step": 51, "ordinal_position": 52}, {"identifier": "T42", "position": [1, 1], "step": 52, "ordinal_position": 53}, {"identifier": "D66", "position": [1, 2], "step": 53, "ordinal_position": 54}, {"identifier": "A81", "position": [1, 3], "step": 54, "ordinal_position": 55}, {"identifier": "D97", "position": [1, 4], "step": 55, "ordinal_position": 56}, {"identifier": "K92", "position": [1, 5], "step": 56, "ordinal_position": 57}, {"identifier": "P99", "position": [2, 5], "step": 57, "ordinal_position": 58}, {"identifier": "Q49", "position": [3, 5], "step": 58, "ordinal_position": 59}, {"identifier": "P52", "position": [4, 5], "step": 59, "ordinal_position": 60}, {"identifier": "T86", "position": [5, 5], "step": 60, "ordinal_position": 61}, {"identifier": "X47", "position": [5, 4], "step": 61, "ordinal_position": 62}, {"identifier": "C58", "position": [5, 3], "step": 62, "ordinal_position": 63}, {"identifier": "P82", "position": [5, 2], "step": 63, "ordinal_position": 64}, {"identifier": "K58", "position": [5, 1], "step": 64, "ordinal_position": 65}, {"identifier": "E65", "position": [4, 1], "step": 65, "ordinal_position": 66}, {"identifier": "V30", "position": [3, 1], "step": 66, "ordinal_position": 67}, {"identifier": "Q69", "position": [2, 1], "step": 67, "ordinal_position": 68}, {"identifier": "T42", "position": [1, 1], "step": 68, "ordinal_position": 69}, {"identifier": "D66", "position": [1, 2], "step": 69, "ordinal_position": 70}, {"identifier": "A81", "position": [1, 3], "step": 70, "ordinal_position": 71}, {"identifier": "D97", "position": [1, 4], "step": 71, "ordinal_position": 72}, {"identifier": "K92", "position": [1, 5], "step": 72, "ordinal_position": 73}, {"identifier": "P99", "position": [2, 5], "step": 73, "ordinal_position": 74}, {"identifier": "Q49", "position": [3, 5], "step": 74, "ordinal_position": 75}, {"identifier": "P52", "position": [4, 5], "step": 75, "ordinal_position": 76}, {"identifier": "T86", "position": [5, 5], "step": 76, "ordinal_position": 77}, {"identifier": "X47", "position": [5, 4], "step": 77, "ordinal_position": 78}, {"identifier": "C58", "position": [5, 3], "step": 78, "ordinal_position": 79}, {"identifier": "P82", "position": [5, 2], "step": 79, "ordinal_position": 80}, {"identifier": "K58", "position": [5, 1], "step": 80, "ordinal_position": 81}, {"identifier": "E65", "position": [4, 1], "step": 81, "ordinal_position": 82}, {"identifier": "V30", "position": [3, 1], "step": 82, "ordinal_position": 83}, {"identifier": "Q69", "position": [2, 1], "step": 83, "ordinal_position": 84}, {"identifier": "T42", "position": [1, 1], "step": 84, "ordinal_position": 85}, {"identifier": "D66", "position": [1, 2], "step": 85, "ordinal_position": 86}, {"identifier": "A81", "position": [1, 3], "step": 86, "ordinal_position": 87}, {"identifier": "D97", "position": [1, 4], "step": 87, "ordinal_position": 88}, {"identifier": "K92", "position": [1, 5], "step": 88, "ordinal_position": 89}, {"identifier": "P99", "position": [2, 5], "step": 89, "ordinal_position": 90}, {"identifier": "Q49", "position": [3, 5], "step": 90, "ordinal_position": 91}, {"identifier": "P52", "position": [4, 5], "step": 91, "ordinal_position": 92}, {"identifier": "T86", "position": [5, 5], "step": 92, "ordinal_position": 93}, {"identifier": "X47", "position": [5, 4], "step": 93, "ordinal_position": 94}, {"identifier": "C58", "position": [5, 3], "step": 94, "ordinal_position": 95}, {"identifier": "P82", "position": [5, 2], "step": 95, "ordinal_position": 96}, {"identifier": "K58", "position": [5, 1], "step": 96, "ordinal_position": 97}, {"identifier": "E65", "position": [4, 1], "step": 97, "ordinal_position": 98}, {"identifier": "V30", "position": [3, 1], "step": 98, "ordinal_position": 99}, {"identifier": "Q69", "position": [2, 1], "step": 99, "ordinal_position": 100}, {"identifier": "T42", "position": [1, 1], "step": 100, "ordinal_position": 101}, {"identifier": "D66", "position": [1, 2], "step": 101, "ordinal_position": 102}, {"identifier": "A81", "position": [1, 3], "step": 102, "ordinal_position": 103}, {"identifier": "D97", "position": [1, 4], "step": 103, "ordinal_position": 104}, {"identifier": "K92", "position": [1, 5], "step": 104, "ordinal_position": 105}, {"identifier": "P99", "position": [2, 5], "step": 105, "ordinal_position": 106}, {"identifier": "Q49", "position": [3, 5], "step": 106, "ordinal_position": 107}, {"identifier": "P52", "position": [4, 5], "step": 107, "ordinal_position": 108}, {"identifier": "T86", "position": [5, 5], "step": 108, "ordinal_position": 109}, {"identifier": "X47", "position": [5, 4], "step": 109, "ordinal_position": 110}, {"identifier": "C58", "position": [5, 3], "step": 110, "ordinal_position": 111}, {"identifier": "P82", "position": [5, 2], "step": 111, "ordinal_position": 112}, {"identifier": "K58", "position": [5, 1], "step": 112, "ordinal_position": 113}, {"identifier": "E65", "position": [4, 1], "step": 113, "ordinal_position": 114}, {"identifier": "V30", "position": [3, 1], "step": 114, "ordinal_position": 115}, {"identifier": "Q69", "position": [2, 1], "step": 115, "ordinal_position": 116}, {"identifier": "T42", "position": [1, 1], "step": 116, "ordinal_position": 117}, {"identifier": "D66", "position": [1, 2], "step": 117, "ordinal_position": 118}, {"identifier": "A81", "position": [1, 3], "step": 118, "ordinal_position": 119}, {"identifier": "D97", "position": [1, 4], "step": 119, "ordinal_position": 120}, {"identifier": "K92", "position": [1, 5], "step": 120, "ordinal_position": 121}, {"identifier": "P99", "position": [2, 5], "step": 121, "ordinal_position": 122}, {"identifier": "Q49", "position": [3, 5], "step": 122, "ordinal_position": 123}, {"identifier": "P52", "position": [4, 5], "step": 123, "ordinal_position": 124}, {"identifier": "T86", "position": [5, 5], "step": 124, "ordinal_position": 125}, {"identifier": "X47", "position": [5, 4], "step": 125, "ordinal_position": 126}, {"identifier": "C58", "position": [5, 3], "step": 126, "ordinal_position": 127}, {"identifier": "P82", "position": [5, 2], "step": 127, "ordinal_position": 128}, {"identifier": "K58", "position": [5, 1], "step": 128, "ordinal_position": 129}, {"identifier": "E65", "position": [4, 1], "step": 129, "ordinal_position": 130}, {"identifier": "V30", "position": [3, 1], "step": 130, "ordinal_position": 131}, {"identifier": "Q69", "position": [2, 1], "step": 131, "ordinal_position": 132}, {"identifier": "T42", "position": [1, 1], "step": 132, "ordinal_position": 133}, {"identifier": "D66", "position": [1, 2], "step": 133, "ordinal_position": 134}, {"identifier": "A81", "position": [1, 3], "step": 134, "ordinal_position": 135}, {"identifier": "D97", "position": [1, 4], "step": 135, "ordinal_position": 136}, {"identifier": "K92", "position": [1, 5], "step": 136, "ordinal_position": 137}, {"identifier": "P99", "position": [2, 5], "step": 137, "ordinal_position": 138}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 138, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_008.json"}} {"qa_id": "d10663a75e544c26a7d92ba17b0c385e", "image_id": "L3-MazeLoop-test_7x7_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K92, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 106th position in this traversal?", "start_object_id": "K92", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [106], "ordinal_strings": ["106th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "P82", "traversal_path": [{"identifier": "K92", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "D97", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "A81", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "D66", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "T42", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Q69", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "V30", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "E65", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "K58", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "P82", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "C58", "position": [5, 3], "step": 10, "ordinal_position": 11}, {"identifier": "X47", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "T86", "position": [5, 5], "step": 12, "ordinal_position": 13}, {"identifier": "P52", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "Q49", "position": [3, 5], "step": 14, "ordinal_position": 15}, {"identifier": "P99", "position": [2, 5], "step": 15, "ordinal_position": 16}, {"identifier": "K92", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "D97", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "A81", "position": [1, 3], "step": 18, "ordinal_position": 19}, {"identifier": "D66", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "T42", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Q69", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "V30", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "E65", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "K58", "position": [5, 1], "step": 24, "ordinal_position": 25}, {"identifier": "P82", "position": [5, 2], "step": 25, "ordinal_position": 26}, {"identifier": "C58", "position": [5, 3], "step": 26, "ordinal_position": 27}, {"identifier": "X47", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "T86", "position": [5, 5], "step": 28, "ordinal_position": 29}, {"identifier": "P52", "position": [4, 5], "step": 29, "ordinal_position": 30}, {"identifier": "Q49", "position": [3, 5], "step": 30, "ordinal_position": 31}, {"identifier": "P99", "position": [2, 5], "step": 31, "ordinal_position": 32}, {"identifier": "K92", "position": [1, 5], "step": 32, "ordinal_position": 33}, {"identifier": "D97", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "A81", "position": [1, 3], "step": 34, "ordinal_position": 35}, {"identifier": "D66", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "T42", "position": [1, 1], "step": 36, "ordinal_position": 37}, {"identifier": "Q69", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "V30", "position": [3, 1], "step": 38, "ordinal_position": 39}, {"identifier": "E65", "position": [4, 1], "step": 39, "ordinal_position": 40}, {"identifier": "K58", "position": [5, 1], "step": 40, "ordinal_position": 41}, {"identifier": "P82", "position": [5, 2], "step": 41, "ordinal_position": 42}, {"identifier": "C58", "position": [5, 3], "step": 42, "ordinal_position": 43}, {"identifier": "X47", "position": [5, 4], "step": 43, "ordinal_position": 44}, {"identifier": "T86", "position": [5, 5], "step": 44, "ordinal_position": 45}, {"identifier": "P52", "position": [4, 5], "step": 45, "ordinal_position": 46}, {"identifier": "Q49", "position": [3, 5], "step": 46, "ordinal_position": 47}, {"identifier": "P99", "position": [2, 5], "step": 47, "ordinal_position": 48}, {"identifier": "K92", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "D97", "position": [1, 4], "step": 49, "ordinal_position": 50}, {"identifier": "A81", "position": [1, 3], "step": 50, "ordinal_position": 51}, {"identifier": "D66", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "T42", "position": [1, 1], "step": 52, "ordinal_position": 53}, {"identifier": "Q69", "position": [2, 1], "step": 53, "ordinal_position": 54}, {"identifier": "V30", "position": [3, 1], "step": 54, "ordinal_position": 55}, {"identifier": "E65", "position": [4, 1], "step": 55, "ordinal_position": 56}, {"identifier": "K58", "position": [5, 1], "step": 56, "ordinal_position": 57}, {"identifier": "P82", "position": [5, 2], "step": 57, "ordinal_position": 58}, {"identifier": "C58", "position": [5, 3], "step": 58, "ordinal_position": 59}, {"identifier": "X47", "position": [5, 4], "step": 59, "ordinal_position": 60}, {"identifier": "T86", "position": [5, 5], "step": 60, "ordinal_position": 61}, {"identifier": "P52", "position": [4, 5], "step": 61, "ordinal_position": 62}, {"identifier": "Q49", "position": [3, 5], "step": 62, "ordinal_position": 63}, {"identifier": "P99", "position": [2, 5], "step": 63, "ordinal_position": 64}, {"identifier": "K92", "position": [1, 5], "step": 64, "ordinal_position": 65}, {"identifier": "D97", "position": [1, 4], "step": 65, "ordinal_position": 66}, {"identifier": "A81", "position": [1, 3], "step": 66, "ordinal_position": 67}, {"identifier": "D66", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "T42", "position": [1, 1], "step": 68, "ordinal_position": 69}, {"identifier": "Q69", "position": [2, 1], "step": 69, "ordinal_position": 70}, {"identifier": "V30", "position": [3, 1], "step": 70, "ordinal_position": 71}, {"identifier": "E65", "position": [4, 1], "step": 71, "ordinal_position": 72}, {"identifier": "K58", "position": [5, 1], "step": 72, "ordinal_position": 73}, {"identifier": "P82", "position": [5, 2], "step": 73, "ordinal_position": 74}, {"identifier": "C58", "position": [5, 3], "step": 74, "ordinal_position": 75}, {"identifier": "X47", "position": [5, 4], "step": 75, "ordinal_position": 76}, {"identifier": "T86", "position": [5, 5], "step": 76, "ordinal_position": 77}, {"identifier": "P52", "position": [4, 5], "step": 77, "ordinal_position": 78}, {"identifier": "Q49", "position": [3, 5], "step": 78, "ordinal_position": 79}, {"identifier": "P99", "position": [2, 5], "step": 79, "ordinal_position": 80}, {"identifier": "K92", "position": [1, 5], "step": 80, "ordinal_position": 81}, {"identifier": "D97", "position": [1, 4], "step": 81, "ordinal_position": 82}, {"identifier": "A81", "position": [1, 3], "step": 82, "ordinal_position": 83}, {"identifier": "D66", "position": [1, 2], "step": 83, "ordinal_position": 84}, {"identifier": "T42", "position": [1, 1], "step": 84, "ordinal_position": 85}, {"identifier": "Q69", "position": [2, 1], "step": 85, "ordinal_position": 86}, {"identifier": "V30", "position": [3, 1], "step": 86, "ordinal_position": 87}, {"identifier": "E65", "position": [4, 1], "step": 87, "ordinal_position": 88}, {"identifier": "K58", "position": [5, 1], "step": 88, "ordinal_position": 89}, {"identifier": "P82", "position": [5, 2], "step": 89, "ordinal_position": 90}, {"identifier": "C58", "position": [5, 3], "step": 90, "ordinal_position": 91}, {"identifier": "X47", "position": [5, 4], "step": 91, "ordinal_position": 92}, {"identifier": "T86", "position": [5, 5], "step": 92, "ordinal_position": 93}, {"identifier": "P52", "position": [4, 5], "step": 93, "ordinal_position": 94}, {"identifier": "Q49", "position": [3, 5], "step": 94, "ordinal_position": 95}, {"identifier": "P99", "position": [2, 5], "step": 95, "ordinal_position": 96}, {"identifier": "K92", "position": [1, 5], "step": 96, "ordinal_position": 97}, {"identifier": "D97", "position": [1, 4], "step": 97, "ordinal_position": 98}, {"identifier": "A81", "position": [1, 3], "step": 98, "ordinal_position": 99}, {"identifier": "D66", "position": [1, 2], "step": 99, "ordinal_position": 100}, {"identifier": "T42", "position": [1, 1], "step": 100, "ordinal_position": 101}, {"identifier": "Q69", "position": [2, 1], "step": 101, "ordinal_position": 102}, {"identifier": "V30", "position": [3, 1], "step": 102, "ordinal_position": 103}, {"identifier": "E65", "position": [4, 1], "step": 103, "ordinal_position": 104}, {"identifier": "K58", "position": [5, 1], "step": 104, "ordinal_position": 105}, {"identifier": "P82", "position": [5, 2], "step": 105, "ordinal_position": 106}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 106, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_008.json"}} {"qa_id": "4c2da2080b22482380f8244dc214cf8f", "image_id": "L3-MazeLoop-test_7x7_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A81, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 225th position in this traversal?", "start_object_id": "A81", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [225], "ordinal_strings": ["225th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "C58", "traversal_path": [{"identifier": "A81", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "J59", "position": [2, 3], "step": 1, "ordinal_position": 2}, {"identifier": "U27", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "H87", "position": [3, 2], "step": 3, "ordinal_position": 4}, {"identifier": "V30", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Q69", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "T42", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "D66", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "A81", "position": [1, 3], "step": 8, "ordinal_position": 9}, {"identifier": "D97", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "K92", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "P99", "position": [2, 5], "step": 11, "ordinal_position": 12}, {"identifier": "Q49", "position": [3, 5], "step": 12, "ordinal_position": 13}, {"identifier": "P52", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "T86", "position": [5, 5], "step": 14, "ordinal_position": 15}, {"identifier": "X47", "position": [5, 4], "step": 15, "ordinal_position": 16}, {"identifier": "C58", "position": [5, 3], "step": 16, "ordinal_position": 17}, {"identifier": "P82", "position": [5, 2], "step": 17, "ordinal_position": 18}, {"identifier": "K58", "position": [5, 1], "step": 18, "ordinal_position": 19}, {"identifier": "E65", "position": [4, 1], "step": 19, "ordinal_position": 20}, {"identifier": "V30", "position": [3, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Q69", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "T42", "position": [1, 1], "step": 22, "ordinal_position": 23}, {"identifier": "D66", "position": [1, 2], "step": 23, "ordinal_position": 24}, {"identifier": "A81", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "D97", "position": [1, 4], "step": 25, "ordinal_position": 26}, {"identifier": "K92", "position": [1, 5], "step": 26, "ordinal_position": 27}, {"identifier": "P99", "position": [2, 5], "step": 27, "ordinal_position": 28}, {"identifier": "Q49", "position": [3, 5], "step": 28, "ordinal_position": 29}, {"identifier": "P52", "position": [4, 5], "step": 29, "ordinal_position": 30}, {"identifier": "T86", "position": [5, 5], "step": 30, "ordinal_position": 31}, {"identifier": "X47", "position": [5, 4], "step": 31, "ordinal_position": 32}, {"identifier": "C58", "position": [5, 3], "step": 32, "ordinal_position": 33}, {"identifier": "P82", "position": [5, 2], "step": 33, "ordinal_position": 34}, {"identifier": "K58", "position": [5, 1], "step": 34, "ordinal_position": 35}, {"identifier": "E65", "position": [4, 1], "step": 35, "ordinal_position": 36}, {"identifier": "V30", "position": [3, 1], "step": 36, "ordinal_position": 37}, {"identifier": "Q69", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "T42", "position": [1, 1], "step": 38, "ordinal_position": 39}, {"identifier": "D66", "position": [1, 2], "step": 39, "ordinal_position": 40}, {"identifier": "A81", "position": [1, 3], "step": 40, "ordinal_position": 41}, {"identifier": "D97", "position": [1, 4], "step": 41, "ordinal_position": 42}, {"identifier": "K92", "position": [1, 5], "step": 42, "ordinal_position": 43}, {"identifier": "P99", "position": [2, 5], "step": 43, "ordinal_position": 44}, {"identifier": "Q49", "position": [3, 5], "step": 44, "ordinal_position": 45}, {"identifier": "P52", "position": [4, 5], "step": 45, "ordinal_position": 46}, {"identifier": "T86", "position": [5, 5], "step": 46, "ordinal_position": 47}, {"identifier": "X47", "position": [5, 4], "step": 47, "ordinal_position": 48}, {"identifier": "C58", "position": [5, 3], "step": 48, "ordinal_position": 49}, {"identifier": "P82", "position": [5, 2], "step": 49, "ordinal_position": 50}, {"identifier": "K58", "position": [5, 1], "step": 50, "ordinal_position": 51}, {"identifier": "E65", "position": [4, 1], "step": 51, "ordinal_position": 52}, {"identifier": "V30", "position": [3, 1], "step": 52, "ordinal_position": 53}, {"identifier": "Q69", "position": [2, 1], "step": 53, "ordinal_position": 54}, {"identifier": "T42", "position": [1, 1], "step": 54, "ordinal_position": 55}, {"identifier": "D66", "position": [1, 2], "step": 55, "ordinal_position": 56}, {"identifier": "A81", "position": [1, 3], "step": 56, "ordinal_position": 57}, {"identifier": "D97", "position": [1, 4], "step": 57, "ordinal_position": 58}, {"identifier": "K92", "position": [1, 5], "step": 58, "ordinal_position": 59}, {"identifier": "P99", "position": [2, 5], "step": 59, "ordinal_position": 60}, {"identifier": "Q49", "position": [3, 5], "step": 60, "ordinal_position": 61}, {"identifier": "P52", "position": [4, 5], "step": 61, "ordinal_position": 62}, {"identifier": "T86", "position": [5, 5], "step": 62, "ordinal_position": 63}, {"identifier": "X47", "position": [5, 4], "step": 63, "ordinal_position": 64}, {"identifier": "C58", "position": [5, 3], "step": 64, "ordinal_position": 65}, {"identifier": "P82", "position": [5, 2], "step": 65, "ordinal_position": 66}, {"identifier": "K58", "position": [5, 1], "step": 66, "ordinal_position": 67}, {"identifier": "E65", "position": [4, 1], "step": 67, "ordinal_position": 68}, {"identifier": "V30", "position": [3, 1], "step": 68, "ordinal_position": 69}, {"identifier": "Q69", "position": [2, 1], "step": 69, "ordinal_position": 70}, {"identifier": "T42", "position": [1, 1], "step": 70, "ordinal_position": 71}, {"identifier": "D66", "position": [1, 2], "step": 71, "ordinal_position": 72}, {"identifier": "A81", "position": [1, 3], "step": 72, "ordinal_position": 73}, {"identifier": "D97", "position": [1, 4], "step": 73, "ordinal_position": 74}, {"identifier": "K92", "position": [1, 5], "step": 74, "ordinal_position": 75}, {"identifier": "P99", "position": [2, 5], "step": 75, "ordinal_position": 76}, {"identifier": "Q49", "position": [3, 5], "step": 76, "ordinal_position": 77}, {"identifier": "P52", "position": [4, 5], "step": 77, "ordinal_position": 78}, {"identifier": "T86", "position": [5, 5], "step": 78, "ordinal_position": 79}, {"identifier": "X47", "position": [5, 4], "step": 79, "ordinal_position": 80}, {"identifier": "C58", "position": [5, 3], "step": 80, "ordinal_position": 81}, {"identifier": "P82", "position": [5, 2], "step": 81, "ordinal_position": 82}, {"identifier": "K58", "position": [5, 1], "step": 82, "ordinal_position": 83}, {"identifier": "E65", "position": [4, 1], "step": 83, "ordinal_position": 84}, {"identifier": "V30", "position": [3, 1], "step": 84, "ordinal_position": 85}, {"identifier": "Q69", "position": [2, 1], "step": 85, "ordinal_position": 86}, {"identifier": "T42", "position": [1, 1], "step": 86, "ordinal_position": 87}, {"identifier": "D66", "position": [1, 2], "step": 87, "ordinal_position": 88}, {"identifier": "A81", "position": [1, 3], "step": 88, "ordinal_position": 89}, {"identifier": "D97", "position": [1, 4], "step": 89, "ordinal_position": 90}, {"identifier": "K92", "position": [1, 5], "step": 90, "ordinal_position": 91}, {"identifier": "P99", "position": [2, 5], "step": 91, "ordinal_position": 92}, {"identifier": "Q49", "position": [3, 5], "step": 92, "ordinal_position": 93}, {"identifier": "P52", "position": [4, 5], "step": 93, "ordinal_position": 94}, {"identifier": "T86", "position": [5, 5], "step": 94, "ordinal_position": 95}, {"identifier": "X47", "position": [5, 4], "step": 95, "ordinal_position": 96}, {"identifier": "C58", "position": [5, 3], "step": 96, "ordinal_position": 97}, {"identifier": "P82", "position": [5, 2], "step": 97, "ordinal_position": 98}, {"identifier": "K58", "position": [5, 1], "step": 98, "ordinal_position": 99}, {"identifier": "E65", "position": [4, 1], "step": 99, "ordinal_position": 100}, {"identifier": "V30", "position": [3, 1], "step": 100, "ordinal_position": 101}, {"identifier": "Q69", "position": [2, 1], "step": 101, "ordinal_position": 102}, {"identifier": "T42", "position": [1, 1], "step": 102, "ordinal_position": 103}, {"identifier": "D66", "position": [1, 2], "step": 103, "ordinal_position": 104}, {"identifier": "A81", "position": [1, 3], "step": 104, "ordinal_position": 105}, {"identifier": "D97", "position": [1, 4], "step": 105, "ordinal_position": 106}, {"identifier": "K92", "position": [1, 5], "step": 106, "ordinal_position": 107}, {"identifier": "P99", "position": [2, 5], "step": 107, "ordinal_position": 108}, {"identifier": "Q49", "position": [3, 5], "step": 108, "ordinal_position": 109}, {"identifier": "P52", "position": [4, 5], "step": 109, "ordinal_position": 110}, {"identifier": "T86", "position": [5, 5], "step": 110, "ordinal_position": 111}, {"identifier": "X47", "position": [5, 4], "step": 111, "ordinal_position": 112}, {"identifier": "C58", "position": [5, 3], "step": 112, "ordinal_position": 113}, {"identifier": "P82", "position": [5, 2], "step": 113, "ordinal_position": 114}, {"identifier": "K58", "position": [5, 1], "step": 114, "ordinal_position": 115}, {"identifier": "E65", "position": [4, 1], "step": 115, "ordinal_position": 116}, {"identifier": "V30", "position": [3, 1], "step": 116, "ordinal_position": 117}, {"identifier": "Q69", "position": [2, 1], "step": 117, "ordinal_position": 118}, {"identifier": "T42", "position": [1, 1], "step": 118, "ordinal_position": 119}, {"identifier": "D66", "position": [1, 2], "step": 119, "ordinal_position": 120}, {"identifier": "A81", "position": [1, 3], "step": 120, "ordinal_position": 121}, {"identifier": "D97", "position": [1, 4], "step": 121, "ordinal_position": 122}, {"identifier": "K92", "position": [1, 5], "step": 122, "ordinal_position": 123}, {"identifier": "P99", "position": [2, 5], "step": 123, "ordinal_position": 124}, {"identifier": "Q49", "position": [3, 5], "step": 124, "ordinal_position": 125}, {"identifier": "P52", "position": [4, 5], "step": 125, "ordinal_position": 126}, {"identifier": "T86", "position": [5, 5], "step": 126, "ordinal_position": 127}, {"identifier": "X47", "position": [5, 4], "step": 127, "ordinal_position": 128}, {"identifier": "C58", "position": [5, 3], "step": 128, "ordinal_position": 129}, {"identifier": "P82", "position": [5, 2], "step": 129, "ordinal_position": 130}, {"identifier": "K58", "position": [5, 1], "step": 130, "ordinal_position": 131}, {"identifier": "E65", "position": [4, 1], "step": 131, "ordinal_position": 132}, {"identifier": "V30", "position": [3, 1], "step": 132, "ordinal_position": 133}, {"identifier": "Q69", "position": [2, 1], "step": 133, "ordinal_position": 134}, {"identifier": "T42", "position": [1, 1], "step": 134, "ordinal_position": 135}, {"identifier": "D66", "position": [1, 2], "step": 135, "ordinal_position": 136}, {"identifier": "A81", "position": [1, 3], "step": 136, "ordinal_position": 137}, {"identifier": "D97", "position": [1, 4], "step": 137, "ordinal_position": 138}, {"identifier": "K92", "position": [1, 5], "step": 138, "ordinal_position": 139}, {"identifier": "P99", "position": [2, 5], "step": 139, "ordinal_position": 140}, {"identifier": "Q49", "position": [3, 5], "step": 140, "ordinal_position": 141}, {"identifier": "P52", "position": [4, 5], "step": 141, "ordinal_position": 142}, {"identifier": "T86", "position": [5, 5], "step": 142, "ordinal_position": 143}, {"identifier": "X47", "position": [5, 4], "step": 143, "ordinal_position": 144}, {"identifier": "C58", "position": [5, 3], "step": 144, "ordinal_position": 145}, {"identifier": "P82", "position": [5, 2], "step": 145, "ordinal_position": 146}, {"identifier": "K58", "position": [5, 1], "step": 146, "ordinal_position": 147}, {"identifier": "E65", "position": [4, 1], "step": 147, "ordinal_position": 148}, {"identifier": "V30", "position": [3, 1], "step": 148, "ordinal_position": 149}, {"identifier": "Q69", "position": [2, 1], "step": 149, "ordinal_position": 150}, {"identifier": "T42", "position": [1, 1], "step": 150, "ordinal_position": 151}, {"identifier": "D66", "position": [1, 2], "step": 151, "ordinal_position": 152}, {"identifier": "A81", "position": [1, 3], "step": 152, "ordinal_position": 153}, {"identifier": "D97", "position": [1, 4], "step": 153, "ordinal_position": 154}, {"identifier": "K92", "position": [1, 5], "step": 154, "ordinal_position": 155}, {"identifier": "P99", "position": [2, 5], "step": 155, "ordinal_position": 156}, {"identifier": "Q49", "position": [3, 5], "step": 156, "ordinal_position": 157}, {"identifier": "P52", "position": [4, 5], "step": 157, "ordinal_position": 158}, {"identifier": "T86", "position": [5, 5], "step": 158, "ordinal_position": 159}, {"identifier": "X47", "position": [5, 4], "step": 159, "ordinal_position": 160}, {"identifier": "C58", "position": [5, 3], "step": 160, "ordinal_position": 161}, {"identifier": "P82", "position": [5, 2], "step": 161, "ordinal_position": 162}, {"identifier": "K58", "position": [5, 1], "step": 162, "ordinal_position": 163}, {"identifier": "E65", "position": [4, 1], "step": 163, "ordinal_position": 164}, {"identifier": "V30", "position": [3, 1], "step": 164, "ordinal_position": 165}, {"identifier": "Q69", "position": [2, 1], "step": 165, "ordinal_position": 166}, {"identifier": "T42", "position": [1, 1], "step": 166, "ordinal_position": 167}, {"identifier": "D66", "position": [1, 2], "step": 167, "ordinal_position": 168}, {"identifier": "A81", "position": [1, 3], "step": 168, "ordinal_position": 169}, {"identifier": "D97", "position": [1, 4], "step": 169, "ordinal_position": 170}, {"identifier": "K92", "position": [1, 5], "step": 170, "ordinal_position": 171}, {"identifier": "P99", "position": [2, 5], "step": 171, "ordinal_position": 172}, {"identifier": "Q49", "position": [3, 5], "step": 172, "ordinal_position": 173}, {"identifier": "P52", "position": [4, 5], "step": 173, "ordinal_position": 174}, {"identifier": "T86", "position": [5, 5], "step": 174, "ordinal_position": 175}, {"identifier": "X47", "position": [5, 4], "step": 175, "ordinal_position": 176}, {"identifier": "C58", "position": [5, 3], "step": 176, "ordinal_position": 177}, {"identifier": "P82", "position": [5, 2], "step": 177, "ordinal_position": 178}, {"identifier": "K58", "position": [5, 1], "step": 178, "ordinal_position": 179}, {"identifier": "E65", "position": [4, 1], "step": 179, "ordinal_position": 180}, {"identifier": "V30", "position": [3, 1], "step": 180, "ordinal_position": 181}, {"identifier": "Q69", "position": [2, 1], "step": 181, "ordinal_position": 182}, {"identifier": "T42", "position": [1, 1], "step": 182, "ordinal_position": 183}, {"identifier": "D66", "position": [1, 2], "step": 183, "ordinal_position": 184}, {"identifier": "A81", "position": [1, 3], "step": 184, "ordinal_position": 185}, {"identifier": "D97", "position": [1, 4], "step": 185, "ordinal_position": 186}, {"identifier": "K92", "position": [1, 5], "step": 186, "ordinal_position": 187}, {"identifier": "P99", "position": [2, 5], "step": 187, "ordinal_position": 188}, {"identifier": "Q49", "position": [3, 5], "step": 188, "ordinal_position": 189}, {"identifier": "P52", "position": [4, 5], "step": 189, "ordinal_position": 190}, {"identifier": "T86", "position": [5, 5], "step": 190, "ordinal_position": 191}, {"identifier": "X47", "position": [5, 4], "step": 191, "ordinal_position": 192}, {"identifier": "C58", "position": [5, 3], "step": 192, "ordinal_position": 193}, {"identifier": "P82", "position": [5, 2], "step": 193, "ordinal_position": 194}, {"identifier": "K58", "position": [5, 1], "step": 194, "ordinal_position": 195}, {"identifier": "E65", "position": [4, 1], "step": 195, "ordinal_position": 196}, {"identifier": "V30", "position": [3, 1], "step": 196, "ordinal_position": 197}, {"identifier": "Q69", "position": [2, 1], "step": 197, "ordinal_position": 198}, {"identifier": "T42", "position": [1, 1], "step": 198, "ordinal_position": 199}, {"identifier": "D66", "position": [1, 2], "step": 199, "ordinal_position": 200}, {"identifier": "A81", "position": [1, 3], "step": 200, "ordinal_position": 201}, {"identifier": "D97", "position": [1, 4], "step": 201, "ordinal_position": 202}, {"identifier": "K92", "position": [1, 5], "step": 202, "ordinal_position": 203}, {"identifier": "P99", "position": [2, 5], "step": 203, "ordinal_position": 204}, {"identifier": "Q49", "position": [3, 5], "step": 204, "ordinal_position": 205}, {"identifier": "P52", "position": [4, 5], "step": 205, "ordinal_position": 206}, {"identifier": "T86", "position": [5, 5], "step": 206, "ordinal_position": 207}, {"identifier": "X47", "position": [5, 4], "step": 207, "ordinal_position": 208}, {"identifier": "C58", "position": [5, 3], "step": 208, "ordinal_position": 209}, {"identifier": "P82", "position": [5, 2], "step": 209, "ordinal_position": 210}, {"identifier": "K58", "position": [5, 1], "step": 210, "ordinal_position": 211}, {"identifier": "E65", "position": [4, 1], "step": 211, "ordinal_position": 212}, {"identifier": "V30", "position": [3, 1], "step": 212, "ordinal_position": 213}, {"identifier": "Q69", "position": [2, 1], "step": 213, "ordinal_position": 214}, {"identifier": "T42", "position": [1, 1], "step": 214, "ordinal_position": 215}, {"identifier": "D66", "position": [1, 2], "step": 215, "ordinal_position": 216}, {"identifier": "A81", "position": [1, 3], "step": 216, "ordinal_position": 217}, {"identifier": "D97", "position": [1, 4], "step": 217, "ordinal_position": 218}, {"identifier": "K92", "position": [1, 5], "step": 218, "ordinal_position": 219}, {"identifier": "P99", "position": [2, 5], "step": 219, "ordinal_position": 220}, {"identifier": "Q49", "position": [3, 5], "step": 220, "ordinal_position": 221}, {"identifier": "P52", "position": [4, 5], "step": 221, "ordinal_position": 222}, {"identifier": "T86", "position": [5, 5], "step": 222, "ordinal_position": 223}, {"identifier": "X47", "position": [5, 4], "step": 223, "ordinal_position": 224}, {"identifier": "C58", "position": [5, 3], "step": 224, "ordinal_position": 225}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 225, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_008.json"}} {"qa_id": "939354fef71b44b5a361afc7dd71c11f", "image_id": "L3-MazeLoop-test_7x7_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T86, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 300th position in this traversal?", "start_object_id": "T86", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [300], "ordinal_strings": ["300th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "E65", "traversal_path": [{"identifier": "T86", "position": [5, 5], "step": 0, "ordinal_position": 1}, {"identifier": "P52", "position": [4, 5], "step": 1, "ordinal_position": 2}, 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287, "ordinal_position": 288}, {"identifier": "T86", "position": [5, 5], "step": 288, "ordinal_position": 289}, {"identifier": "P52", "position": [4, 5], "step": 289, "ordinal_position": 290}, {"identifier": "Q49", "position": [3, 5], "step": 290, "ordinal_position": 291}, {"identifier": "P99", "position": [2, 5], "step": 291, "ordinal_position": 292}, {"identifier": "K92", "position": [1, 5], "step": 292, "ordinal_position": 293}, {"identifier": "D97", "position": [1, 4], "step": 293, "ordinal_position": 294}, {"identifier": "A81", "position": [1, 3], "step": 294, "ordinal_position": 295}, {"identifier": "D66", "position": [1, 2], "step": 295, "ordinal_position": 296}, {"identifier": "T42", "position": [1, 1], "step": 296, "ordinal_position": 297}, {"identifier": "Q69", "position": [2, 1], "step": 297, "ordinal_position": 298}, {"identifier": "V30", "position": [3, 1], "step": 298, "ordinal_position": 299}, {"identifier": "E65", "position": [4, 1], "step": 299, "ordinal_position": 300}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 300, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_008.json"}} {"qa_id": "8a3c34e617174626aa14817dd97e4cde", "image_id": "L3-MazeLoop-test_7x7_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A81, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 234th position in this traversal?", "start_object_id": "A81", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [234], "ordinal_strings": ["234th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "P82", "traversal_path": [{"identifier": "A81", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "D97", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "K92", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "P99", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "Q49", "position": [3, 5], "step": 4, "ordinal_position": 5}, {"identifier": "P52", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "T86", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "X47", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "C58", "position": [5, 3], "step": 8, "ordinal_position": 9}, {"identifier": "P82", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "K58", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "E65", "position": [4, 1], "step": 11, "ordinal_position": 12}, {"identifier": "V30", "position": [3, 1], "step": 12, "ordinal_position": 13}, {"identifier": "Q69", "position": [2, 1], "step": 13, "ordinal_position": 14}, {"identifier": "T42", "position": [1, 1], "step": 14, "ordinal_position": 15}, {"identifier": "D66", "position": [1, 2], "step": 15, "ordinal_position": 16}, {"identifier": "A81", "position": [1, 3], "step": 16, "ordinal_position": 17}, {"identifier": "D97", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "K92", "position": [1, 5], "step": 18, "ordinal_position": 19}, {"identifier": "P99", "position": [2, 5], "step": 19, "ordinal_position": 20}, {"identifier": "Q49", "position": [3, 5], "step": 20, "ordinal_position": 21}, {"identifier": "P52", "position": [4, 5], "step": 21, "ordinal_position": 22}, {"identifier": "T86", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "X47", "position": [5, 4], "step": 23, "ordinal_position": 24}, {"identifier": "C58", "position": [5, 3], "step": 24, "ordinal_position": 25}, {"identifier": "P82", "position": [5, 2], "step": 25, "ordinal_position": 26}, {"identifier": "K58", "position": [5, 1], "step": 26, "ordinal_position": 27}, {"identifier": "E65", "position": [4, 1], "step": 27, "ordinal_position": 28}, {"identifier": "V30", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Q69", "position": [2, 1], "step": 29, "ordinal_position": 30}, {"identifier": "T42", "position": [1, 1], "step": 30, "ordinal_position": 31}, {"identifier": "D66", "position": [1, 2], "step": 31, "ordinal_position": 32}, {"identifier": "A81", "position": [1, 3], "step": 32, "ordinal_position": 33}, {"identifier": "D97", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "K92", "position": [1, 5], "step": 34, "ordinal_position": 35}, {"identifier": "P99", "position": [2, 5], "step": 35, "ordinal_position": 36}, {"identifier": "Q49", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "P52", "position": [4, 5], "step": 37, "ordinal_position": 38}, {"identifier": "T86", "position": [5, 5], "step": 38, "ordinal_position": 39}, {"identifier": "X47", "position": [5, 4], "step": 39, "ordinal_position": 40}, {"identifier": "C58", "position": [5, 3], "step": 40, "ordinal_position": 41}, {"identifier": "P82", "position": [5, 2], "step": 41, "ordinal_position": 42}, {"identifier": "K58", "position": [5, 1], "step": 42, "ordinal_position": 43}, {"identifier": "E65", "position": [4, 1], "step": 43, "ordinal_position": 44}, {"identifier": "V30", "position": [3, 1], "step": 44, "ordinal_position": 45}, {"identifier": "Q69", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "T42", "position": [1, 1], "step": 46, "ordinal_position": 47}, {"identifier": "D66", "position": [1, 2], "step": 47, "ordinal_position": 48}, {"identifier": "A81", "position": [1, 3], "step": 48, "ordinal_position": 49}, {"identifier": "D97", "position": [1, 4], "step": 49, "ordinal_position": 50}, {"identifier": "K92", "position": [1, 5], "step": 50, "ordinal_position": 51}, {"identifier": "P99", "position": [2, 5], "step": 51, "ordinal_position": 52}, {"identifier": "Q49", "position": [3, 5], "step": 52, "ordinal_position": 53}, {"identifier": "P52", "position": [4, 5], "step": 53, "ordinal_position": 54}, {"identifier": "T86", "position": [5, 5], "step": 54, "ordinal_position": 55}, {"identifier": "X47", "position": [5, 4], "step": 55, "ordinal_position": 56}, {"identifier": "C58", "position": [5, 3], "step": 56, "ordinal_position": 57}, {"identifier": "P82", "position": [5, 2], "step": 57, "ordinal_position": 58}, {"identifier": "K58", "position": [5, 1], "step": 58, "ordinal_position": 59}, {"identifier": "E65", "position": [4, 1], "step": 59, "ordinal_position": 60}, {"identifier": "V30", "position": [3, 1], "step": 60, "ordinal_position": 61}, {"identifier": "Q69", "position": [2, 1], "step": 61, "ordinal_position": 62}, {"identifier": "T42", "position": [1, 1], "step": 62, "ordinal_position": 63}, {"identifier": "D66", "position": [1, 2], "step": 63, "ordinal_position": 64}, {"identifier": "A81", "position": [1, 3], "step": 64, "ordinal_position": 65}, {"identifier": "D97", "position": [1, 4], "step": 65, "ordinal_position": 66}, {"identifier": "K92", "position": [1, 5], "step": 66, "ordinal_position": 67}, {"identifier": "P99", "position": [2, 5], "step": 67, "ordinal_position": 68}, {"identifier": "Q49", "position": [3, 5], "step": 68, "ordinal_position": 69}, {"identifier": "P52", "position": [4, 5], "step": 69, "ordinal_position": 70}, {"identifier": "T86", "position": [5, 5], "step": 70, "ordinal_position": 71}, {"identifier": "X47", "position": [5, 4], "step": 71, "ordinal_position": 72}, {"identifier": "C58", "position": [5, 3], "step": 72, "ordinal_position": 73}, {"identifier": "P82", "position": [5, 2], "step": 73, "ordinal_position": 74}, {"identifier": "K58", "position": [5, 1], "step": 74, "ordinal_position": 75}, {"identifier": "E65", "position": [4, 1], "step": 75, "ordinal_position": 76}, {"identifier": "V30", "position": [3, 1], "step": 76, "ordinal_position": 77}, {"identifier": "Q69", "position": [2, 1], "step": 77, "ordinal_position": 78}, {"identifier": "T42", "position": [1, 1], "step": 78, "ordinal_position": 79}, {"identifier": "D66", "position": [1, 2], "step": 79, "ordinal_position": 80}, {"identifier": "A81", "position": [1, 3], "step": 80, "ordinal_position": 81}, {"identifier": "D97", "position": [1, 4], "step": 81, "ordinal_position": 82}, {"identifier": "K92", "position": [1, 5], "step": 82, "ordinal_position": 83}, {"identifier": "P99", "position": [2, 5], "step": 83, "ordinal_position": 84}, {"identifier": "Q49", "position": [3, 5], "step": 84, "ordinal_position": 85}, {"identifier": "P52", "position": [4, 5], "step": 85, "ordinal_position": 86}, {"identifier": "T86", "position": [5, 5], "step": 86, "ordinal_position": 87}, {"identifier": "X47", "position": [5, 4], "step": 87, "ordinal_position": 88}, {"identifier": "C58", "position": [5, 3], "step": 88, "ordinal_position": 89}, {"identifier": "P82", "position": [5, 2], "step": 89, "ordinal_position": 90}, {"identifier": "K58", "position": [5, 1], "step": 90, "ordinal_position": 91}, {"identifier": "E65", "position": [4, 1], "step": 91, "ordinal_position": 92}, {"identifier": "V30", "position": [3, 1], "step": 92, "ordinal_position": 93}, {"identifier": "Q69", "position": [2, 1], "step": 93, "ordinal_position": 94}, {"identifier": "T42", "position": [1, 1], "step": 94, "ordinal_position": 95}, {"identifier": "D66", "position": [1, 2], "step": 95, "ordinal_position": 96}, {"identifier": "A81", "position": [1, 3], "step": 96, "ordinal_position": 97}, {"identifier": "D97", "position": [1, 4], "step": 97, "ordinal_position": 98}, {"identifier": "K92", "position": [1, 5], "step": 98, "ordinal_position": 99}, {"identifier": "P99", "position": [2, 5], "step": 99, "ordinal_position": 100}, {"identifier": "Q49", "position": [3, 5], "step": 100, "ordinal_position": 101}, {"identifier": "P52", "position": [4, 5], "step": 101, "ordinal_position": 102}, {"identifier": "T86", "position": [5, 5], "step": 102, "ordinal_position": 103}, {"identifier": "X47", "position": [5, 4], "step": 103, "ordinal_position": 104}, {"identifier": "C58", "position": [5, 3], "step": 104, "ordinal_position": 105}, {"identifier": "P82", "position": [5, 2], "step": 105, "ordinal_position": 106}, {"identifier": "K58", "position": [5, 1], "step": 106, "ordinal_position": 107}, {"identifier": "E65", "position": [4, 1], "step": 107, "ordinal_position": 108}, {"identifier": "V30", "position": [3, 1], "step": 108, "ordinal_position": 109}, {"identifier": "Q69", "position": [2, 1], "step": 109, "ordinal_position": 110}, {"identifier": "T42", "position": [1, 1], "step": 110, "ordinal_position": 111}, {"identifier": "D66", "position": [1, 2], "step": 111, "ordinal_position": 112}, {"identifier": "A81", "position": [1, 3], "step": 112, "ordinal_position": 113}, {"identifier": "D97", "position": [1, 4], "step": 113, "ordinal_position": 114}, {"identifier": "K92", "position": [1, 5], "step": 114, "ordinal_position": 115}, {"identifier": "P99", "position": [2, 5], "step": 115, "ordinal_position": 116}, {"identifier": "Q49", "position": [3, 5], "step": 116, "ordinal_position": 117}, {"identifier": "P52", "position": [4, 5], "step": 117, "ordinal_position": 118}, {"identifier": "T86", "position": [5, 5], "step": 118, "ordinal_position": 119}, {"identifier": "X47", "position": [5, 4], "step": 119, "ordinal_position": 120}, {"identifier": "C58", "position": [5, 3], "step": 120, "ordinal_position": 121}, {"identifier": "P82", "position": [5, 2], "step": 121, "ordinal_position": 122}, {"identifier": "K58", "position": [5, 1], "step": 122, "ordinal_position": 123}, {"identifier": "E65", "position": [4, 1], "step": 123, "ordinal_position": 124}, {"identifier": "V30", "position": [3, 1], "step": 124, "ordinal_position": 125}, {"identifier": "Q69", "position": [2, 1], "step": 125, "ordinal_position": 126}, {"identifier": "T42", "position": [1, 1], "step": 126, "ordinal_position": 127}, {"identifier": "D66", "position": [1, 2], "step": 127, "ordinal_position": 128}, {"identifier": "A81", "position": [1, 3], "step": 128, "ordinal_position": 129}, {"identifier": "D97", "position": [1, 4], "step": 129, "ordinal_position": 130}, {"identifier": "K92", "position": [1, 5], "step": 130, "ordinal_position": 131}, {"identifier": "P99", "position": [2, 5], "step": 131, "ordinal_position": 132}, {"identifier": "Q49", 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144, "ordinal_position": 145}, {"identifier": "D97", "position": [1, 4], "step": 145, "ordinal_position": 146}, {"identifier": "K92", "position": [1, 5], "step": 146, "ordinal_position": 147}, {"identifier": "P99", "position": [2, 5], "step": 147, "ordinal_position": 148}, {"identifier": "Q49", "position": [3, 5], "step": 148, "ordinal_position": 149}, {"identifier": "P52", "position": [4, 5], "step": 149, "ordinal_position": 150}, {"identifier": "T86", "position": [5, 5], "step": 150, "ordinal_position": 151}, {"identifier": "X47", "position": [5, 4], "step": 151, "ordinal_position": 152}, {"identifier": "C58", "position": [5, 3], "step": 152, "ordinal_position": 153}, {"identifier": "P82", "position": [5, 2], "step": 153, "ordinal_position": 154}, {"identifier": "K58", "position": [5, 1], "step": 154, "ordinal_position": 155}, {"identifier": "E65", "position": [4, 1], "step": 155, "ordinal_position": 156}, {"identifier": "V30", "position": [3, 1], "step": 156, "ordinal_position": 157}, {"identifier": "Q69", "position": [2, 1], "step": 157, "ordinal_position": 158}, {"identifier": "T42", "position": [1, 1], "step": 158, "ordinal_position": 159}, {"identifier": "D66", "position": [1, 2], "step": 159, "ordinal_position": 160}, {"identifier": "A81", "position": [1, 3], "step": 160, "ordinal_position": 161}, {"identifier": "D97", "position": [1, 4], "step": 161, "ordinal_position": 162}, {"identifier": "K92", "position": [1, 5], "step": 162, "ordinal_position": 163}, {"identifier": "P99", "position": [2, 5], "step": 163, "ordinal_position": 164}, {"identifier": "Q49", "position": [3, 5], "step": 164, "ordinal_position": 165}, {"identifier": "P52", "position": [4, 5], "step": 165, "ordinal_position": 166}, {"identifier": "T86", "position": [5, 5], "step": 166, "ordinal_position": 167}, {"identifier": "X47", "position": [5, 4], "step": 167, "ordinal_position": 168}, {"identifier": "C58", "position": [5, 3], "step": 168, "ordinal_position": 169}, {"identifier": "P82", 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181, "ordinal_position": 182}, {"identifier": "T86", "position": [5, 5], "step": 182, "ordinal_position": 183}, {"identifier": "X47", "position": [5, 4], "step": 183, "ordinal_position": 184}, {"identifier": "C58", "position": [5, 3], "step": 184, "ordinal_position": 185}, {"identifier": "P82", "position": [5, 2], "step": 185, "ordinal_position": 186}, {"identifier": "K58", "position": [5, 1], "step": 186, "ordinal_position": 187}, {"identifier": "E65", "position": [4, 1], "step": 187, "ordinal_position": 188}, {"identifier": "V30", "position": [3, 1], "step": 188, "ordinal_position": 189}, {"identifier": "Q69", "position": [2, 1], "step": 189, "ordinal_position": 190}, {"identifier": "T42", "position": [1, 1], "step": 190, "ordinal_position": 191}, {"identifier": "D66", "position": [1, 2], "step": 191, "ordinal_position": 192}, {"identifier": "A81", "position": [1, 3], "step": 192, "ordinal_position": 193}, {"identifier": "D97", "position": [1, 4], "step": 193, "ordinal_position": 194}, {"identifier": "K92", "position": [1, 5], "step": 194, "ordinal_position": 195}, {"identifier": "P99", "position": [2, 5], "step": 195, "ordinal_position": 196}, {"identifier": "Q49", "position": [3, 5], "step": 196, "ordinal_position": 197}, {"identifier": "P52", "position": [4, 5], "step": 197, "ordinal_position": 198}, {"identifier": "T86", "position": [5, 5], "step": 198, "ordinal_position": 199}, {"identifier": "X47", "position": [5, 4], "step": 199, "ordinal_position": 200}, {"identifier": "C58", "position": [5, 3], "step": 200, "ordinal_position": 201}, {"identifier": "P82", "position": [5, 2], "step": 201, "ordinal_position": 202}, {"identifier": "K58", "position": [5, 1], "step": 202, "ordinal_position": 203}, {"identifier": "E65", "position": [4, 1], "step": 203, "ordinal_position": 204}, {"identifier": "V30", "position": [3, 1], "step": 204, "ordinal_position": 205}, {"identifier": "Q69", "position": [2, 1], "step": 205, "ordinal_position": 206}, {"identifier": "T42", "position": [1, 1], "step": 206, "ordinal_position": 207}, {"identifier": "D66", "position": [1, 2], "step": 207, "ordinal_position": 208}, {"identifier": "A81", "position": [1, 3], "step": 208, "ordinal_position": 209}, {"identifier": "D97", "position": [1, 4], "step": 209, "ordinal_position": 210}, {"identifier": "K92", "position": [1, 5], "step": 210, "ordinal_position": 211}, {"identifier": "P99", "position": [2, 5], "step": 211, "ordinal_position": 212}, {"identifier": "Q49", "position": [3, 5], "step": 212, "ordinal_position": 213}, {"identifier": "P52", "position": [4, 5], "step": 213, "ordinal_position": 214}, {"identifier": "T86", "position": [5, 5], "step": 214, "ordinal_position": 215}, {"identifier": "X47", "position": [5, 4], "step": 215, "ordinal_position": 216}, {"identifier": "C58", "position": [5, 3], "step": 216, "ordinal_position": 217}, {"identifier": "P82", "position": [5, 2], "step": 217, "ordinal_position": 218}, {"identifier": "K58", "position": [5, 1], "step": 218, "ordinal_position": 219}, {"identifier": "E65", "position": [4, 1], "step": 219, "ordinal_position": 220}, {"identifier": "V30", "position": [3, 1], "step": 220, "ordinal_position": 221}, {"identifier": "Q69", "position": [2, 1], "step": 221, "ordinal_position": 222}, {"identifier": "T42", "position": [1, 1], "step": 222, "ordinal_position": 223}, {"identifier": "D66", "position": [1, 2], "step": 223, "ordinal_position": 224}, {"identifier": "A81", "position": [1, 3], "step": 224, "ordinal_position": 225}, {"identifier": "D97", "position": [1, 4], "step": 225, "ordinal_position": 226}, {"identifier": "K92", "position": [1, 5], "step": 226, "ordinal_position": 227}, {"identifier": "P99", "position": [2, 5], "step": 227, "ordinal_position": 228}, {"identifier": "Q49", "position": [3, 5], "step": 228, "ordinal_position": 229}, {"identifier": "P52", "position": [4, 5], "step": 229, "ordinal_position": 230}, {"identifier": "T86", "position": [5, 5], "step": 230, "ordinal_position": 231}, {"identifier": "X47", "position": [5, 4], "step": 231, "ordinal_position": 232}, {"identifier": "C58", "position": [5, 3], "step": 232, "ordinal_position": 233}, {"identifier": "P82", "position": [5, 2], "step": 233, "ordinal_position": 234}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 234, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_008.json"}} {"qa_id": "5a729a2c739b48399c00bb9315224210", "image_id": "L3-MazeLoop-test_7x7_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G89, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "G89", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "J74", "traversal_path": [{"identifier": "G89", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "D59", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "J74", "position": [2, 5], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 3, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_009.json"}} {"qa_id": "b6c7d59973b74fc586a30893157c17f8", "image_id": "L3-MazeLoop-test_7x7_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C59, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "C59", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "I39", "traversal_path": [{"identifier": "C59", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "E54", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "L92", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "G93", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "I39", "position": [5, 1], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_009.json"}} {"qa_id": "c706ca3eb61244baaeff197c2817d5bb", "image_id": "L3-MazeLoop-test_7x7_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J18, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "J18", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "G89", "traversal_path": [{"identifier": "J18", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "G89", "position": [1, 4], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 2, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_009.json"}} {"qa_id": "2e75bd81afe840f5982e6ecd0ba78854", "image_id": "L3-MazeLoop-test_7x7_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P71, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "P71", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "R27", "traversal_path": [{"identifier": "P71", "position": [4, 3], "step": 0, "ordinal_position": 1}, {"identifier": "R27", "position": [5, 3], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 2, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_009.json"}} {"qa_id": "d99a6f9abdad4de4a06805794524278b", "image_id": "L3-MazeLoop-test_7x7_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R30, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "R30", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "I39", "traversal_path": [{"identifier": "R30", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "S51", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "P71", "position": [4, 3], "step": 2, "ordinal_position": 3}, {"identifier": "R27", "position": [5, 3], "step": 3, "ordinal_position": 4}, {"identifier": "F42", "position": [5, 2], "step": 4, "ordinal_position": 5}, {"identifier": "I39", "position": [5, 1], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 6, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_009.json"}} {"qa_id": "ed899a2ce22d470fa4386faebc2501c8", "image_id": "L3-MazeLoop-test_7x7_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R27, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 85th position in this traversal?", "start_object_id": "R27", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [85], "ordinal_strings": ["85th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "L92", "traversal_path": [{"identifier": "R27", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "F42", "position": [5, 2], "step": 1, "ordinal_position": 2}, {"identifier": "I39", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "G93", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "L92", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "E54", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "C59", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Y18", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "J18", "position": [1, 3], "step": 8, "ordinal_position": 9}, {"identifier": "G89", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "D59", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "J74", "position": [2, 5], "step": 11, "ordinal_position": 12}, {"identifier": "U73", "position": [3, 5], "step": 12, "ordinal_position": 13}, {"identifier": "G43", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "C10", "position": [5, 5], "step": 14, "ordinal_position": 15}, {"identifier": "E16", "position": [5, 4], "step": 15, "ordinal_position": 16}, {"identifier": "R27", "position": [5, 3], "step": 16, "ordinal_position": 17}, {"identifier": "F42", "position": [5, 2], "step": 17, "ordinal_position": 18}, {"identifier": "I39", "position": [5, 1], "step": 18, "ordinal_position": 19}, {"identifier": "G93", "position": [4, 1], "step": 19, "ordinal_position": 20}, {"identifier": "L92", "position": [3, 1], "step": 20, "ordinal_position": 21}, {"identifier": "E54", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "C59", "position": [1, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Y18", "position": [1, 2], "step": 23, "ordinal_position": 24}, {"identifier": "J18", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "G89", "position": [1, 4], "step": 25, "ordinal_position": 26}, {"identifier": "D59", "position": [1, 5], "step": 26, "ordinal_position": 27}, {"identifier": "J74", "position": [2, 5], "step": 27, "ordinal_position": 28}, {"identifier": "U73", "position": [3, 5], "step": 28, "ordinal_position": 29}, {"identifier": "G43", "position": [4, 5], "step": 29, "ordinal_position": 30}, {"identifier": "C10", "position": [5, 5], "step": 30, "ordinal_position": 31}, {"identifier": "E16", "position": [5, 4], "step": 31, "ordinal_position": 32}, {"identifier": "R27", "position": [5, 3], "step": 32, "ordinal_position": 33}, {"identifier": "F42", "position": [5, 2], "step": 33, "ordinal_position": 34}, {"identifier": "I39", "position": [5, 1], "step": 34, "ordinal_position": 35}, {"identifier": "G93", "position": [4, 1], "step": 35, "ordinal_position": 36}, {"identifier": "L92", "position": [3, 1], "step": 36, "ordinal_position": 37}, {"identifier": "E54", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "C59", "position": [1, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Y18", "position": [1, 2], "step": 39, "ordinal_position": 40}, {"identifier": "J18", "position": [1, 3], "step": 40, "ordinal_position": 41}, {"identifier": "G89", "position": [1, 4], "step": 41, "ordinal_position": 42}, {"identifier": "D59", "position": [1, 5], "step": 42, "ordinal_position": 43}, {"identifier": "J74", "position": [2, 5], "step": 43, "ordinal_position": 44}, {"identifier": "U73", "position": [3, 5], "step": 44, "ordinal_position": 45}, {"identifier": "G43", "position": [4, 5], "step": 45, "ordinal_position": 46}, {"identifier": "C10", "position": [5, 5], "step": 46, "ordinal_position": 47}, {"identifier": "E16", "position": [5, 4], "step": 47, "ordinal_position": 48}, {"identifier": "R27", "position": [5, 3], "step": 48, "ordinal_position": 49}, {"identifier": "F42", "position": [5, 2], "step": 49, "ordinal_position": 50}, {"identifier": "I39", "position": [5, 1], "step": 50, "ordinal_position": 51}, {"identifier": "G93", "position": [4, 1], "step": 51, "ordinal_position": 52}, {"identifier": "L92", "position": [3, 1], "step": 52, "ordinal_position": 53}, {"identifier": "E54", "position": [2, 1], "step": 53, "ordinal_position": 54}, {"identifier": "C59", "position": [1, 1], "step": 54, "ordinal_position": 55}, {"identifier": "Y18", "position": [1, 2], "step": 55, "ordinal_position": 56}, {"identifier": "J18", "position": [1, 3], "step": 56, "ordinal_position": 57}, {"identifier": "G89", "position": [1, 4], "step": 57, "ordinal_position": 58}, {"identifier": "D59", "position": [1, 5], "step": 58, "ordinal_position": 59}, {"identifier": "J74", "position": [2, 5], "step": 59, "ordinal_position": 60}, {"identifier": "U73", "position": [3, 5], "step": 60, "ordinal_position": 61}, {"identifier": "G43", "position": [4, 5], "step": 61, "ordinal_position": 62}, {"identifier": "C10", "position": [5, 5], "step": 62, "ordinal_position": 63}, {"identifier": "E16", "position": [5, 4], "step": 63, "ordinal_position": 64}, {"identifier": "R27", "position": [5, 3], "step": 64, "ordinal_position": 65}, {"identifier": "F42", "position": [5, 2], "step": 65, "ordinal_position": 66}, {"identifier": "I39", "position": [5, 1], "step": 66, "ordinal_position": 67}, {"identifier": "G93", "position": [4, 1], "step": 67, "ordinal_position": 68}, {"identifier": "L92", "position": [3, 1], "step": 68, "ordinal_position": 69}, {"identifier": "E54", "position": [2, 1], "step": 69, "ordinal_position": 70}, {"identifier": "C59", "position": [1, 1], "step": 70, "ordinal_position": 71}, {"identifier": "Y18", "position": [1, 2], "step": 71, "ordinal_position": 72}, {"identifier": "J18", "position": [1, 3], "step": 72, "ordinal_position": 73}, {"identifier": "G89", "position": [1, 4], "step": 73, "ordinal_position": 74}, {"identifier": "D59", "position": [1, 5], "step": 74, "ordinal_position": 75}, {"identifier": "J74", "position": [2, 5], "step": 75, "ordinal_position": 76}, {"identifier": "U73", "position": [3, 5], "step": 76, "ordinal_position": 77}, {"identifier": "G43", "position": [4, 5], "step": 77, "ordinal_position": 78}, {"identifier": "C10", "position": [5, 5], "step": 78, "ordinal_position": 79}, {"identifier": "E16", "position": [5, 4], "step": 79, "ordinal_position": 80}, {"identifier": "R27", "position": [5, 3], "step": 80, "ordinal_position": 81}, {"identifier": "F42", "position": [5, 2], "step": 81, "ordinal_position": 82}, {"identifier": "I39", "position": [5, 1], "step": 82, "ordinal_position": 83}, {"identifier": "G93", "position": [4, 1], "step": 83, "ordinal_position": 84}, {"identifier": "L92", "position": [3, 1], "step": 84, "ordinal_position": 85}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 85, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_009.json"}} {"qa_id": "4a82fa889b1b4b9aa021221d39504fc9", "image_id": "L3-MazeLoop-test_7x7_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R30, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 21st position in this traversal?", "start_object_id": "R30", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [21], "ordinal_strings": ["21st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Y18", "traversal_path": [{"identifier": "R30", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "L92", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "E54", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "C59", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Y18", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "J18", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "G89", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "D59", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "J74", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "U73", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "G43", "position": [4, 5], "step": 10, "ordinal_position": 11}, {"identifier": "C10", "position": [5, 5], "step": 11, "ordinal_position": 12}, {"identifier": "E16", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "R27", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "F42", "position": [5, 2], "step": 14, "ordinal_position": 15}, {"identifier": "I39", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "G93", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "L92", "position": [3, 1], "step": 17, "ordinal_position": 18}, {"identifier": "E54", "position": [2, 1], "step": 18, "ordinal_position": 19}, {"identifier": "C59", "position": [1, 1], "step": 19, "ordinal_position": 20}, {"identifier": "Y18", "position": [1, 2], "step": 20, "ordinal_position": 21}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 21, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_009.json"}} {"qa_id": "4d75c7d73d9146b797b8249c73ba4417", "image_id": "L3-MazeLoop-test_7x7_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D59, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 97th position in this traversal?", "start_object_id": "D59", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [97], "ordinal_strings": ["97th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "D59", "traversal_path": [{"identifier": "D59", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "G89", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "J18", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "Y18", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "C59", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "E54", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "L92", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "G93", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "I39", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "F42", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "R27", "position": [5, 3], "step": 10, "ordinal_position": 11}, {"identifier": "E16", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "C10", "position": [5, 5], "step": 12, "ordinal_position": 13}, {"identifier": "G43", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "U73", "position": [3, 5], "step": 14, "ordinal_position": 15}, {"identifier": "J74", "position": [2, 5], "step": 15, "ordinal_position": 16}, {"identifier": "D59", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "G89", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "J18", "position": [1, 3], "step": 18, "ordinal_position": 19}, {"identifier": "Y18", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "C59", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "E54", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "L92", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "G93", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "I39", "position": [5, 1], "step": 24, "ordinal_position": 25}, {"identifier": "F42", "position": [5, 2], "step": 25, "ordinal_position": 26}, {"identifier": "R27", "position": [5, 3], "step": 26, "ordinal_position": 27}, {"identifier": "E16", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "C10", "position": [5, 5], "step": 28, "ordinal_position": 29}, {"identifier": "G43", "position": [4, 5], "step": 29, "ordinal_position": 30}, {"identifier": "U73", "position": [3, 5], "step": 30, "ordinal_position": 31}, {"identifier": "J74", "position": [2, 5], "step": 31, "ordinal_position": 32}, {"identifier": "D59", "position": [1, 5], "step": 32, "ordinal_position": 33}, {"identifier": "G89", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "J18", "position": [1, 3], "step": 34, "ordinal_position": 35}, {"identifier": "Y18", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "C59", "position": [1, 1], "step": 36, "ordinal_position": 37}, {"identifier": "E54", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "L92", "position": [3, 1], "step": 38, "ordinal_position": 39}, {"identifier": "G93", "position": [4, 1], "step": 39, "ordinal_position": 40}, {"identifier": "I39", "position": [5, 1], "step": 40, "ordinal_position": 41}, {"identifier": "F42", "position": [5, 2], "step": 41, "ordinal_position": 42}, {"identifier": "R27", "position": [5, 3], "step": 42, "ordinal_position": 43}, {"identifier": "E16", "position": [5, 4], "step": 43, "ordinal_position": 44}, {"identifier": "C10", "position": [5, 5], "step": 44, "ordinal_position": 45}, {"identifier": "G43", "position": [4, 5], "step": 45, "ordinal_position": 46}, {"identifier": "U73", "position": [3, 5], "step": 46, "ordinal_position": 47}, {"identifier": "J74", "position": [2, 5], "step": 47, "ordinal_position": 48}, {"identifier": "D59", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "G89", "position": [1, 4], "step": 49, "ordinal_position": 50}, {"identifier": "J18", "position": [1, 3], "step": 50, "ordinal_position": 51}, {"identifier": "Y18", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "C59", "position": [1, 1], "step": 52, "ordinal_position": 53}, {"identifier": "E54", "position": [2, 1], "step": 53, "ordinal_position": 54}, {"identifier": "L92", "position": [3, 1], "step": 54, "ordinal_position": 55}, {"identifier": "G93", "position": [4, 1], "step": 55, "ordinal_position": 56}, {"identifier": "I39", "position": [5, 1], "step": 56, "ordinal_position": 57}, {"identifier": "F42", "position": [5, 2], "step": 57, "ordinal_position": 58}, {"identifier": "R27", "position": [5, 3], "step": 58, "ordinal_position": 59}, {"identifier": "E16", "position": [5, 4], "step": 59, "ordinal_position": 60}, {"identifier": "C10", "position": [5, 5], "step": 60, "ordinal_position": 61}, {"identifier": "G43", "position": [4, 5], "step": 61, "ordinal_position": 62}, {"identifier": "U73", "position": [3, 5], "step": 62, "ordinal_position": 63}, {"identifier": "J74", "position": [2, 5], "step": 63, "ordinal_position": 64}, {"identifier": "D59", "position": [1, 5], "step": 64, "ordinal_position": 65}, {"identifier": "G89", "position": [1, 4], "step": 65, "ordinal_position": 66}, {"identifier": "J18", "position": [1, 3], "step": 66, "ordinal_position": 67}, {"identifier": "Y18", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "C59", "position": [1, 1], "step": 68, "ordinal_position": 69}, {"identifier": "E54", "position": [2, 1], "step": 69, "ordinal_position": 70}, {"identifier": "L92", "position": [3, 1], "step": 70, "ordinal_position": 71}, {"identifier": "G93", "position": [4, 1], "step": 71, "ordinal_position": 72}, {"identifier": "I39", "position": [5, 1], "step": 72, "ordinal_position": 73}, {"identifier": "F42", "position": [5, 2], "step": 73, "ordinal_position": 74}, {"identifier": "R27", "position": [5, 3], "step": 74, "ordinal_position": 75}, {"identifier": "E16", "position": [5, 4], "step": 75, "ordinal_position": 76}, {"identifier": "C10", "position": [5, 5], "step": 76, "ordinal_position": 77}, {"identifier": "G43", "position": [4, 5], "step": 77, "ordinal_position": 78}, {"identifier": "U73", "position": [3, 5], "step": 78, "ordinal_position": 79}, {"identifier": "J74", "position": [2, 5], "step": 79, "ordinal_position": 80}, {"identifier": "D59", "position": [1, 5], "step": 80, "ordinal_position": 81}, {"identifier": "G89", "position": [1, 4], "step": 81, "ordinal_position": 82}, {"identifier": "J18", "position": [1, 3], "step": 82, "ordinal_position": 83}, {"identifier": "Y18", "position": [1, 2], "step": 83, "ordinal_position": 84}, {"identifier": "C59", "position": [1, 1], "step": 84, "ordinal_position": 85}, {"identifier": "E54", "position": [2, 1], "step": 85, "ordinal_position": 86}, {"identifier": "L92", "position": [3, 1], "step": 86, "ordinal_position": 87}, {"identifier": "G93", "position": [4, 1], "step": 87, "ordinal_position": 88}, {"identifier": "I39", "position": [5, 1], "step": 88, "ordinal_position": 89}, {"identifier": "F42", "position": [5, 2], "step": 89, "ordinal_position": 90}, {"identifier": "R27", "position": [5, 3], "step": 90, "ordinal_position": 91}, {"identifier": "E16", "position": [5, 4], "step": 91, "ordinal_position": 92}, {"identifier": "C10", "position": [5, 5], "step": 92, "ordinal_position": 93}, {"identifier": "G43", "position": [4, 5], "step": 93, "ordinal_position": 94}, {"identifier": "U73", "position": [3, 5], "step": 94, "ordinal_position": 95}, {"identifier": "J74", "position": [2, 5], "step": 95, "ordinal_position": 96}, {"identifier": "D59", "position": [1, 5], "step": 96, "ordinal_position": 97}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 97, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_009.json"}} {"qa_id": "1b76011312aa4a508d485dd89449309e", "image_id": "L3-MazeLoop-test_7x7_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y18, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 23rd position in this traversal?", "start_object_id": "Y18", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [23], "ordinal_strings": ["23rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "G43", "traversal_path": [{"identifier": "Y18", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "J18", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "G89", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "D59", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "J74", "position": [2, 5], "step": 4, "ordinal_position": 5}, {"identifier": "U73", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "G43", "position": [4, 5], "step": 6, "ordinal_position": 7}, {"identifier": "C10", "position": [5, 5], "step": 7, "ordinal_position": 8}, {"identifier": "E16", "position": [5, 4], "step": 8, "ordinal_position": 9}, {"identifier": "R27", "position": [5, 3], "step": 9, "ordinal_position": 10}, {"identifier": "F42", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "I39", "position": [5, 1], "step": 11, "ordinal_position": 12}, {"identifier": "G93", "position": [4, 1], "step": 12, "ordinal_position": 13}, {"identifier": "L92", "position": [3, 1], "step": 13, "ordinal_position": 14}, {"identifier": "E54", "position": [2, 1], "step": 14, "ordinal_position": 15}, {"identifier": "C59", "position": [1, 1], "step": 15, "ordinal_position": 16}, {"identifier": "Y18", "position": [1, 2], "step": 16, "ordinal_position": 17}, {"identifier": "J18", "position": [1, 3], "step": 17, "ordinal_position": 18}, {"identifier": "G89", "position": [1, 4], "step": 18, "ordinal_position": 19}, {"identifier": "D59", "position": [1, 5], "step": 19, "ordinal_position": 20}, {"identifier": "J74", "position": [2, 5], "step": 20, "ordinal_position": 21}, {"identifier": "U73", "position": [3, 5], "step": 21, "ordinal_position": 22}, {"identifier": "G43", "position": [4, 5], "step": 22, "ordinal_position": 23}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 23, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_009.json"}} {"qa_id": "91ed3ff5cb80476a8b2bdc596d825040", "image_id": "L3-MazeLoop-test_7x7_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C10, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 11th position in this traversal?", "start_object_id": "C10", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [11], "ordinal_strings": ["11th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "J18", "traversal_path": [{"identifier": "C10", "position": [5, 5], "step": 0, "ordinal_position": 1}, {"identifier": "E16", "position": [5, 4], "step": 1, "ordinal_position": 2}, {"identifier": "R27", "position": [5, 3], "step": 2, "ordinal_position": 3}, {"identifier": "F42", "position": [5, 2], "step": 3, "ordinal_position": 4}, {"identifier": "I39", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "G93", "position": [4, 1], "step": 5, "ordinal_position": 6}, {"identifier": "L92", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "E54", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "C59", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Y18", "position": [1, 2], "step": 9, "ordinal_position": 10}, {"identifier": "J18", "position": [1, 3], "step": 10, "ordinal_position": 11}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 11, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_009.json"}} {"qa_id": "004864cf5b0445119f9f1ea3d3771920", "image_id": "L3-MazeLoop-test_7x7_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P71, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 272nd position in this traversal?", "start_object_id": "P71", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [272], "ordinal_strings": ["272nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "R27", "traversal_path": [{"identifier": "P71", "position": [4, 3], "step": 0, "ordinal_position": 1}, {"identifier": "S51", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "R30", "position": [3, 2], "step": 2, "ordinal_position": 3}, {"identifier": "L92", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "E54", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "C59", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Y18", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "J18", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "G89", "position": [1, 4], "step": 8, "ordinal_position": 9}, {"identifier": "D59", "position": [1, 5], "step": 9, "ordinal_position": 10}, {"identifier": "J74", "position": [2, 5], "step": 10, "ordinal_position": 11}, {"identifier": "U73", "position": [3, 5], "step": 11, "ordinal_position": 12}, {"identifier": "G43", "position": [4, 5], "step": 12, "ordinal_position": 13}, {"identifier": "C10", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "E16", "position": [5, 4], "step": 14, "ordinal_position": 15}, {"identifier": "R27", "position": [5, 3], "step": 15, "ordinal_position": 16}, {"identifier": "F42", "position": [5, 2], "step": 16, "ordinal_position": 17}, {"identifier": "I39", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "G93", "position": [4, 1], "step": 18, "ordinal_position": 19}, {"identifier": "L92", "position": [3, 1], "step": 19, "ordinal_position": 20}, {"identifier": "E54", "position": [2, 1], "step": 20, "ordinal_position": 21}, {"identifier": "C59", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Y18", "position": [1, 2], "step": 22, "ordinal_position": 23}, {"identifier": "J18", "position": [1, 3], "step": 23, "ordinal_position": 24}, {"identifier": "G89", "position": [1, 4], "step": 24, "ordinal_position": 25}, {"identifier": "D59", "position": [1, 5], "step": 25, "ordinal_position": 26}, {"identifier": "J74", "position": [2, 5], "step": 26, "ordinal_position": 27}, {"identifier": "U73", "position": [3, 5], "step": 27, "ordinal_position": 28}, {"identifier": "G43", "position": [4, 5], "step": 28, "ordinal_position": 29}, {"identifier": "C10", "position": [5, 5], "step": 29, "ordinal_position": 30}, {"identifier": "E16", "position": [5, 4], "step": 30, "ordinal_position": 31}, {"identifier": "R27", "position": [5, 3], "step": 31, "ordinal_position": 32}, {"identifier": "F42", "position": [5, 2], "step": 32, "ordinal_position": 33}, {"identifier": "I39", "position": [5, 1], "step": 33, "ordinal_position": 34}, {"identifier": "G93", "position": [4, 1], "step": 34, "ordinal_position": 35}, {"identifier": "L92", "position": [3, 1], "step": 35, "ordinal_position": 36}, {"identifier": "E54", "position": [2, 1], "step": 36, "ordinal_position": 37}, {"identifier": "C59", "position": [1, 1], "step": 37, "ordinal_position": 38}, {"identifier": "Y18", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "J18", "position": [1, 3], "step": 39, "ordinal_position": 40}, {"identifier": "G89", "position": [1, 4], "step": 40, "ordinal_position": 41}, {"identifier": "D59", "position": [1, 5], "step": 41, "ordinal_position": 42}, {"identifier": "J74", "position": [2, 5], "step": 42, "ordinal_position": 43}, {"identifier": "U73", "position": [3, 5], "step": 43, "ordinal_position": 44}, {"identifier": "G43", "position": [4, 5], "step": 44, "ordinal_position": 45}, {"identifier": "C10", "position": [5, 5], "step": 45, "ordinal_position": 46}, {"identifier": "E16", "position": [5, 4], "step": 46, "ordinal_position": 47}, {"identifier": "R27", "position": [5, 3], "step": 47, "ordinal_position": 48}, {"identifier": "F42", "position": [5, 2], "step": 48, "ordinal_position": 49}, {"identifier": "I39", "position": [5, 1], "step": 49, "ordinal_position": 50}, {"identifier": "G93", "position": [4, 1], "step": 50, "ordinal_position": 51}, {"identifier": "L92", "position": [3, 1], "step": 51, "ordinal_position": 52}, {"identifier": "E54", "position": [2, 1], "step": 52, "ordinal_position": 53}, {"identifier": "C59", "position": [1, 1], "step": 53, "ordinal_position": 54}, {"identifier": "Y18", "position": [1, 2], "step": 54, "ordinal_position": 55}, {"identifier": "J18", "position": [1, 3], "step": 55, "ordinal_position": 56}, {"identifier": "G89", "position": [1, 4], "step": 56, "ordinal_position": 57}, {"identifier": "D59", "position": [1, 5], "step": 57, "ordinal_position": 58}, {"identifier": "J74", "position": [2, 5], "step": 58, "ordinal_position": 59}, {"identifier": "U73", "position": [3, 5], "step": 59, "ordinal_position": 60}, {"identifier": "G43", "position": [4, 5], "step": 60, "ordinal_position": 61}, {"identifier": "C10", "position": [5, 5], "step": 61, "ordinal_position": 62}, {"identifier": "E16", "position": [5, 4], "step": 62, "ordinal_position": 63}, {"identifier": "R27", "position": [5, 3], "step": 63, "ordinal_position": 64}, {"identifier": "F42", "position": [5, 2], "step": 64, "ordinal_position": 65}, {"identifier": "I39", "position": [5, 1], "step": 65, "ordinal_position": 66}, {"identifier": "G93", "position": [4, 1], "step": 66, "ordinal_position": 67}, {"identifier": "L92", "position": [3, 1], "step": 67, "ordinal_position": 68}, {"identifier": "E54", "position": [2, 1], "step": 68, "ordinal_position": 69}, {"identifier": "C59", "position": [1, 1], "step": 69, "ordinal_position": 70}, {"identifier": "Y18", "position": [1, 2], "step": 70, "ordinal_position": 71}, {"identifier": "J18", "position": [1, 3], "step": 71, "ordinal_position": 72}, {"identifier": "G89", "position": [1, 4], "step": 72, "ordinal_position": 73}, {"identifier": "D59", "position": [1, 5], "step": 73, "ordinal_position": 74}, {"identifier": "J74", "position": [2, 5], "step": 74, "ordinal_position": 75}, {"identifier": "U73", "position": [3, 5], "step": 75, "ordinal_position": 76}, {"identifier": "G43", "position": [4, 5], "step": 76, "ordinal_position": 77}, {"identifier": "C10", "position": [5, 5], "step": 77, "ordinal_position": 78}, {"identifier": "E16", "position": [5, 4], "step": 78, "ordinal_position": 79}, {"identifier": "R27", "position": [5, 3], "step": 79, "ordinal_position": 80}, {"identifier": "F42", "position": [5, 2], "step": 80, "ordinal_position": 81}, {"identifier": "I39", "position": [5, 1], "step": 81, "ordinal_position": 82}, {"identifier": "G93", "position": [4, 1], "step": 82, "ordinal_position": 83}, {"identifier": "L92", "position": [3, 1], "step": 83, "ordinal_position": 84}, {"identifier": "E54", "position": [2, 1], "step": 84, "ordinal_position": 85}, {"identifier": "C59", "position": [1, 1], "step": 85, "ordinal_position": 86}, {"identifier": "Y18", "position": [1, 2], "step": 86, "ordinal_position": 87}, {"identifier": "J18", "position": [1, 3], "step": 87, "ordinal_position": 88}, {"identifier": "G89", "position": [1, 4], "step": 88, "ordinal_position": 89}, {"identifier": "D59", "position": [1, 5], "step": 89, "ordinal_position": 90}, {"identifier": "J74", "position": [2, 5], "step": 90, "ordinal_position": 91}, {"identifier": "U73", "position": [3, 5], "step": 91, "ordinal_position": 92}, {"identifier": "G43", "position": [4, 5], "step": 92, "ordinal_position": 93}, {"identifier": "C10", "position": [5, 5], "step": 93, "ordinal_position": 94}, {"identifier": "E16", "position": [5, 4], "step": 94, "ordinal_position": 95}, {"identifier": "R27", "position": [5, 3], "step": 95, "ordinal_position": 96}, {"identifier": "F42", "position": [5, 2], "step": 96, "ordinal_position": 97}, {"identifier": "I39", "position": [5, 1], "step": 97, "ordinal_position": 98}, {"identifier": "G93", "position": [4, 1], "step": 98, "ordinal_position": 99}, {"identifier": "L92", "position": [3, 1], "step": 99, "ordinal_position": 100}, {"identifier": "E54", "position": [2, 1], "step": 100, "ordinal_position": 101}, {"identifier": "C59", "position": [1, 1], "step": 101, "ordinal_position": 102}, {"identifier": "Y18", "position": [1, 2], "step": 102, "ordinal_position": 103}, {"identifier": "J18", "position": [1, 3], "step": 103, "ordinal_position": 104}, {"identifier": "G89", "position": [1, 4], "step": 104, "ordinal_position": 105}, {"identifier": "D59", "position": [1, 5], "step": 105, "ordinal_position": 106}, {"identifier": "J74", "position": [2, 5], "step": 106, "ordinal_position": 107}, {"identifier": "U73", "position": [3, 5], "step": 107, "ordinal_position": 108}, {"identifier": "G43", "position": [4, 5], "step": 108, "ordinal_position": 109}, {"identifier": "C10", "position": [5, 5], "step": 109, "ordinal_position": 110}, {"identifier": "E16", "position": [5, 4], "step": 110, "ordinal_position": 111}, {"identifier": "R27", "position": [5, 3], "step": 111, "ordinal_position": 112}, {"identifier": "F42", "position": [5, 2], "step": 112, "ordinal_position": 113}, {"identifier": "I39", "position": [5, 1], "step": 113, "ordinal_position": 114}, {"identifier": "G93", "position": [4, 1], "step": 114, "ordinal_position": 115}, {"identifier": "L92", "position": [3, 1], "step": 115, "ordinal_position": 116}, {"identifier": "E54", "position": [2, 1], "step": 116, "ordinal_position": 117}, {"identifier": "C59", "position": [1, 1], "step": 117, "ordinal_position": 118}, {"identifier": "Y18", "position": [1, 2], "step": 118, "ordinal_position": 119}, {"identifier": "J18", "position": [1, 3], "step": 119, "ordinal_position": 120}, {"identifier": "G89", "position": [1, 4], "step": 120, "ordinal_position": 121}, {"identifier": "D59", 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133, "ordinal_position": 134}, {"identifier": "Y18", "position": [1, 2], "step": 134, "ordinal_position": 135}, {"identifier": "J18", "position": [1, 3], "step": 135, "ordinal_position": 136}, {"identifier": "G89", "position": [1, 4], "step": 136, "ordinal_position": 137}, {"identifier": "D59", "position": [1, 5], "step": 137, "ordinal_position": 138}, {"identifier": "J74", "position": [2, 5], "step": 138, "ordinal_position": 139}, {"identifier": "U73", "position": [3, 5], "step": 139, "ordinal_position": 140}, {"identifier": "G43", "position": [4, 5], "step": 140, "ordinal_position": 141}, {"identifier": "C10", "position": [5, 5], "step": 141, "ordinal_position": 142}, {"identifier": "E16", "position": [5, 4], "step": 142, "ordinal_position": 143}, {"identifier": "R27", "position": [5, 3], "step": 143, "ordinal_position": 144}, {"identifier": "F42", "position": [5, 2], "step": 144, "ordinal_position": 145}, {"identifier": "I39", "position": [5, 1], "step": 145, "ordinal_position": 146}, {"identifier": "G93", "position": [4, 1], "step": 146, "ordinal_position": 147}, {"identifier": "L92", "position": [3, 1], "step": 147, "ordinal_position": 148}, {"identifier": "E54", "position": [2, 1], "step": 148, "ordinal_position": 149}, {"identifier": "C59", "position": [1, 1], "step": 149, "ordinal_position": 150}, {"identifier": "Y18", "position": [1, 2], "step": 150, "ordinal_position": 151}, {"identifier": "J18", "position": [1, 3], "step": 151, "ordinal_position": 152}, {"identifier": "G89", "position": [1, 4], "step": 152, "ordinal_position": 153}, {"identifier": "D59", "position": [1, 5], "step": 153, "ordinal_position": 154}, {"identifier": "J74", "position": [2, 5], "step": 154, "ordinal_position": 155}, {"identifier": "U73", "position": [3, 5], "step": 155, "ordinal_position": 156}, {"identifier": "G43", "position": [4, 5], "step": 156, "ordinal_position": 157}, {"identifier": "C10", "position": [5, 5], "step": 157, "ordinal_position": 158}, {"identifier": "E16", "position": [5, 4], "step": 158, "ordinal_position": 159}, {"identifier": "R27", "position": [5, 3], "step": 159, "ordinal_position": 160}, {"identifier": "F42", "position": [5, 2], "step": 160, "ordinal_position": 161}, {"identifier": "I39", "position": [5, 1], "step": 161, "ordinal_position": 162}, {"identifier": "G93", "position": [4, 1], "step": 162, "ordinal_position": 163}, {"identifier": "L92", "position": [3, 1], "step": 163, "ordinal_position": 164}, {"identifier": "E54", "position": [2, 1], "step": 164, "ordinal_position": 165}, {"identifier": "C59", "position": [1, 1], "step": 165, "ordinal_position": 166}, {"identifier": "Y18", "position": [1, 2], "step": 166, "ordinal_position": 167}, {"identifier": "J18", "position": [1, 3], "step": 167, "ordinal_position": 168}, {"identifier": "G89", "position": [1, 4], "step": 168, "ordinal_position": 169}, {"identifier": "D59", "position": [1, 5], "step": 169, "ordinal_position": 170}, {"identifier": "J74", "position": [2, 5], "step": 170, "ordinal_position": 171}, {"identifier": "U73", "position": [3, 5], "step": 171, "ordinal_position": 172}, {"identifier": "G43", "position": [4, 5], "step": 172, "ordinal_position": 173}, {"identifier": "C10", "position": [5, 5], "step": 173, "ordinal_position": 174}, {"identifier": "E16", "position": [5, 4], "step": 174, "ordinal_position": 175}, {"identifier": "R27", "position": [5, 3], "step": 175, "ordinal_position": 176}, {"identifier": "F42", "position": [5, 2], "step": 176, "ordinal_position": 177}, {"identifier": "I39", "position": [5, 1], "step": 177, "ordinal_position": 178}, {"identifier": "G93", "position": [4, 1], "step": 178, "ordinal_position": 179}, {"identifier": "L92", "position": [3, 1], "step": 179, "ordinal_position": 180}, {"identifier": "E54", "position": [2, 1], "step": 180, "ordinal_position": 181}, {"identifier": "C59", "position": [1, 1], "step": 181, "ordinal_position": 182}, {"identifier": "Y18", "position": [1, 2], "step": 182, "ordinal_position": 183}, {"identifier": "J18", "position": [1, 3], "step": 183, "ordinal_position": 184}, {"identifier": "G89", "position": [1, 4], "step": 184, "ordinal_position": 185}, {"identifier": "D59", "position": [1, 5], "step": 185, "ordinal_position": 186}, {"identifier": "J74", "position": [2, 5], "step": 186, "ordinal_position": 187}, {"identifier": "U73", "position": [3, 5], "step": 187, "ordinal_position": 188}, {"identifier": "G43", "position": [4, 5], "step": 188, "ordinal_position": 189}, {"identifier": "C10", "position": [5, 5], "step": 189, "ordinal_position": 190}, {"identifier": "E16", "position": [5, 4], "step": 190, "ordinal_position": 191}, {"identifier": "R27", "position": [5, 3], "step": 191, "ordinal_position": 192}, {"identifier": "F42", "position": [5, 2], "step": 192, "ordinal_position": 193}, {"identifier": "I39", "position": [5, 1], "step": 193, "ordinal_position": 194}, {"identifier": "G93", "position": [4, 1], "step": 194, "ordinal_position": 195}, {"identifier": "L92", "position": [3, 1], "step": 195, "ordinal_position": 196}, {"identifier": "E54", "position": [2, 1], "step": 196, "ordinal_position": 197}, {"identifier": "C59", "position": [1, 1], "step": 197, "ordinal_position": 198}, {"identifier": "Y18", "position": [1, 2], "step": 198, "ordinal_position": 199}, {"identifier": "J18", "position": [1, 3], "step": 199, "ordinal_position": 200}, {"identifier": "G89", "position": [1, 4], "step": 200, "ordinal_position": 201}, {"identifier": "D59", "position": [1, 5], "step": 201, "ordinal_position": 202}, {"identifier": "J74", "position": [2, 5], "step": 202, "ordinal_position": 203}, {"identifier": "U73", "position": [3, 5], "step": 203, "ordinal_position": 204}, {"identifier": "G43", "position": [4, 5], "step": 204, "ordinal_position": 205}, {"identifier": "C10", "position": [5, 5], "step": 205, "ordinal_position": 206}, {"identifier": "E16", "position": [5, 4], "step": 206, "ordinal_position": 207}, {"identifier": "R27", "position": [5, 3], "step": 207, "ordinal_position": 208}, {"identifier": "F42", "position": [5, 2], "step": 208, "ordinal_position": 209}, {"identifier": "I39", "position": [5, 1], "step": 209, "ordinal_position": 210}, {"identifier": "G93", "position": [4, 1], "step": 210, "ordinal_position": 211}, {"identifier": "L92", "position": [3, 1], "step": 211, "ordinal_position": 212}, {"identifier": "E54", "position": [2, 1], "step": 212, "ordinal_position": 213}, {"identifier": "C59", "position": [1, 1], "step": 213, "ordinal_position": 214}, {"identifier": "Y18", "position": [1, 2], "step": 214, "ordinal_position": 215}, {"identifier": "J18", "position": [1, 3], "step": 215, "ordinal_position": 216}, {"identifier": "G89", "position": [1, 4], "step": 216, "ordinal_position": 217}, {"identifier": "D59", "position": [1, 5], "step": 217, "ordinal_position": 218}, {"identifier": "J74", "position": [2, 5], "step": 218, "ordinal_position": 219}, {"identifier": "U73", "position": [3, 5], "step": 219, "ordinal_position": 220}, {"identifier": "G43", "position": [4, 5], "step": 220, "ordinal_position": 221}, {"identifier": "C10", "position": [5, 5], "step": 221, "ordinal_position": 222}, {"identifier": "E16", "position": [5, 4], "step": 222, "ordinal_position": 223}, {"identifier": "R27", "position": [5, 3], "step": 223, "ordinal_position": 224}, {"identifier": "F42", "position": [5, 2], "step": 224, "ordinal_position": 225}, {"identifier": "I39", "position": [5, 1], "step": 225, "ordinal_position": 226}, {"identifier": "G93", "position": [4, 1], "step": 226, "ordinal_position": 227}, {"identifier": "L92", "position": [3, 1], "step": 227, "ordinal_position": 228}, {"identifier": "E54", "position": [2, 1], "step": 228, "ordinal_position": 229}, {"identifier": "C59", "position": [1, 1], "step": 229, "ordinal_position": 230}, {"identifier": "Y18", "position": [1, 2], "step": 230, "ordinal_position": 231}, {"identifier": "J18", "position": [1, 3], "step": 231, "ordinal_position": 232}, {"identifier": "G89", "position": [1, 4], "step": 232, "ordinal_position": 233}, {"identifier": "D59", "position": [1, 5], "step": 233, "ordinal_position": 234}, {"identifier": "J74", "position": [2, 5], "step": 234, "ordinal_position": 235}, {"identifier": "U73", "position": [3, 5], "step": 235, "ordinal_position": 236}, {"identifier": "G43", "position": [4, 5], "step": 236, "ordinal_position": 237}, {"identifier": "C10", "position": [5, 5], "step": 237, "ordinal_position": 238}, {"identifier": "E16", "position": [5, 4], "step": 238, "ordinal_position": 239}, {"identifier": "R27", "position": [5, 3], "step": 239, "ordinal_position": 240}, {"identifier": "F42", "position": [5, 2], "step": 240, "ordinal_position": 241}, {"identifier": "I39", "position": [5, 1], "step": 241, "ordinal_position": 242}, {"identifier": "G93", "position": [4, 1], "step": 242, "ordinal_position": 243}, {"identifier": "L92", "position": [3, 1], "step": 243, "ordinal_position": 244}, {"identifier": "E54", "position": [2, 1], "step": 244, "ordinal_position": 245}, {"identifier": "C59", "position": [1, 1], "step": 245, "ordinal_position": 246}, {"identifier": "Y18", "position": [1, 2], "step": 246, "ordinal_position": 247}, {"identifier": "J18", "position": [1, 3], "step": 247, "ordinal_position": 248}, {"identifier": "G89", "position": [1, 4], "step": 248, "ordinal_position": 249}, {"identifier": "D59", "position": [1, 5], "step": 249, "ordinal_position": 250}, {"identifier": "J74", "position": [2, 5], "step": 250, "ordinal_position": 251}, {"identifier": "U73", "position": [3, 5], "step": 251, "ordinal_position": 252}, {"identifier": "G43", "position": [4, 5], "step": 252, "ordinal_position": 253}, {"identifier": "C10", "position": [5, 5], "step": 253, "ordinal_position": 254}, {"identifier": "E16", "position": [5, 4], "step": 254, "ordinal_position": 255}, {"identifier": "R27", "position": [5, 3], "step": 255, "ordinal_position": 256}, {"identifier": "F42", "position": [5, 2], "step": 256, "ordinal_position": 257}, {"identifier": "I39", "position": [5, 1], "step": 257, "ordinal_position": 258}, {"identifier": "G93", "position": [4, 1], "step": 258, "ordinal_position": 259}, {"identifier": "L92", "position": [3, 1], "step": 259, "ordinal_position": 260}, {"identifier": "E54", "position": [2, 1], "step": 260, "ordinal_position": 261}, {"identifier": "C59", "position": [1, 1], "step": 261, "ordinal_position": 262}, {"identifier": "Y18", "position": [1, 2], "step": 262, "ordinal_position": 263}, {"identifier": "J18", "position": [1, 3], "step": 263, "ordinal_position": 264}, {"identifier": "G89", "position": [1, 4], "step": 264, "ordinal_position": 265}, {"identifier": "D59", "position": [1, 5], "step": 265, "ordinal_position": 266}, {"identifier": "J74", "position": [2, 5], "step": 266, "ordinal_position": 267}, {"identifier": "U73", "position": [3, 5], "step": 267, "ordinal_position": 268}, {"identifier": "G43", "position": [4, 5], "step": 268, "ordinal_position": 269}, {"identifier": "C10", "position": [5, 5], "step": 269, "ordinal_position": 270}, {"identifier": "E16", "position": [5, 4], "step": 270, "ordinal_position": 271}, {"identifier": "R27", "position": [5, 3], "step": 271, "ordinal_position": 272}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 272, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_009.json"}} {"qa_id": "f8aebfd9ba0a46f0bc3cd47ba4fa16e8", "image_id": "L3-MazeLoop-test_7x7_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J18, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 116th position in this traversal?", "start_object_id": "J18", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [116], "ordinal_strings": ["116th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "E54", "traversal_path": [{"identifier": "J18", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "Y18", "position": [1, 2], "step": 1, "ordinal_position": 2}, {"identifier": "C59", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "E54", "position": [2, 1], "step": 3, "ordinal_position": 4}, {"identifier": "L92", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "G93", "position": [4, 1], "step": 5, "ordinal_position": 6}, {"identifier": "I39", "position": [5, 1], "step": 6, "ordinal_position": 7}, {"identifier": "F42", "position": [5, 2], "step": 7, "ordinal_position": 8}, {"identifier": "R27", "position": [5, 3], "step": 8, "ordinal_position": 9}, {"identifier": "E16", "position": [5, 4], "step": 9, "ordinal_position": 10}, {"identifier": "C10", "position": [5, 5], "step": 10, "ordinal_position": 11}, {"identifier": "G43", "position": [4, 5], "step": 11, "ordinal_position": 12}, {"identifier": "U73", "position": [3, 5], "step": 12, "ordinal_position": 13}, {"identifier": "J74", "position": [2, 5], "step": 13, "ordinal_position": 14}, {"identifier": "D59", "position": [1, 5], "step": 14, "ordinal_position": 15}, {"identifier": "G89", "position": [1, 4], "step": 15, "ordinal_position": 16}, {"identifier": "J18", "position": [1, 3], "step": 16, "ordinal_position": 17}, {"identifier": "Y18", "position": [1, 2], "step": 17, "ordinal_position": 18}, {"identifier": "C59", "position": [1, 1], "step": 18, "ordinal_position": 19}, {"identifier": "E54", "position": [2, 1], "step": 19, "ordinal_position": 20}, {"identifier": "L92", "position": [3, 1], "step": 20, "ordinal_position": 21}, {"identifier": "G93", "position": [4, 1], "step": 21, "ordinal_position": 22}, {"identifier": "I39", "position": [5, 1], "step": 22, "ordinal_position": 23}, {"identifier": "F42", "position": [5, 2], "step": 23, "ordinal_position": 24}, {"identifier": "R27", "position": [5, 3], "step": 24, "ordinal_position": 25}, {"identifier": "E16", "position": [5, 4], "step": 25, "ordinal_position": 26}, {"identifier": "C10", "position": [5, 5], "step": 26, "ordinal_position": 27}, {"identifier": "G43", "position": [4, 5], "step": 27, "ordinal_position": 28}, {"identifier": "U73", "position": [3, 5], "step": 28, "ordinal_position": 29}, {"identifier": "J74", "position": [2, 5], "step": 29, "ordinal_position": 30}, {"identifier": "D59", "position": [1, 5], "step": 30, "ordinal_position": 31}, {"identifier": "G89", "position": [1, 4], "step": 31, "ordinal_position": 32}, {"identifier": "J18", "position": [1, 3], "step": 32, "ordinal_position": 33}, {"identifier": "Y18", "position": [1, 2], "step": 33, "ordinal_position": 34}, {"identifier": "C59", "position": [1, 1], "step": 34, "ordinal_position": 35}, {"identifier": "E54", "position": [2, 1], "step": 35, "ordinal_position": 36}, {"identifier": "L92", "position": [3, 1], "step": 36, "ordinal_position": 37}, {"identifier": "G93", "position": [4, 1], "step": 37, "ordinal_position": 38}, {"identifier": "I39", "position": [5, 1], "step": 38, "ordinal_position": 39}, {"identifier": "F42", "position": [5, 2], "step": 39, "ordinal_position": 40}, {"identifier": "R27", "position": [5, 3], "step": 40, "ordinal_position": 41}, {"identifier": "E16", "position": [5, 4], "step": 41, "ordinal_position": 42}, {"identifier": "C10", "position": [5, 5], "step": 42, "ordinal_position": 43}, {"identifier": "G43", "position": [4, 5], "step": 43, "ordinal_position": 44}, {"identifier": "U73", "position": [3, 5], "step": 44, "ordinal_position": 45}, {"identifier": "J74", "position": [2, 5], "step": 45, "ordinal_position": 46}, {"identifier": "D59", "position": [1, 5], "step": 46, "ordinal_position": 47}, {"identifier": "G89", "position": [1, 4], "step": 47, "ordinal_position": 48}, {"identifier": "J18", "position": [1, 3], "step": 48, "ordinal_position": 49}, {"identifier": "Y18", "position": [1, 2], "step": 49, "ordinal_position": 50}, {"identifier": "C59", "position": [1, 1], "step": 50, "ordinal_position": 51}, {"identifier": "E54", "position": [2, 1], "step": 51, "ordinal_position": 52}, {"identifier": "L92", "position": [3, 1], "step": 52, "ordinal_position": 53}, {"identifier": "G93", "position": [4, 1], "step": 53, "ordinal_position": 54}, {"identifier": "I39", "position": [5, 1], "step": 54, "ordinal_position": 55}, {"identifier": "F42", "position": [5, 2], "step": 55, "ordinal_position": 56}, {"identifier": "R27", "position": [5, 3], "step": 56, "ordinal_position": 57}, {"identifier": "E16", "position": [5, 4], "step": 57, "ordinal_position": 58}, {"identifier": "C10", "position": [5, 5], "step": 58, "ordinal_position": 59}, {"identifier": "G43", "position": [4, 5], "step": 59, "ordinal_position": 60}, {"identifier": "U73", "position": [3, 5], "step": 60, "ordinal_position": 61}, {"identifier": "J74", "position": [2, 5], "step": 61, "ordinal_position": 62}, {"identifier": "D59", "position": [1, 5], "step": 62, "ordinal_position": 63}, {"identifier": "G89", "position": [1, 4], "step": 63, "ordinal_position": 64}, {"identifier": "J18", "position": [1, 3], "step": 64, "ordinal_position": 65}, {"identifier": "Y18", "position": [1, 2], "step": 65, "ordinal_position": 66}, {"identifier": "C59", "position": [1, 1], "step": 66, "ordinal_position": 67}, {"identifier": "E54", "position": [2, 1], "step": 67, "ordinal_position": 68}, {"identifier": "L92", "position": [3, 1], "step": 68, "ordinal_position": 69}, {"identifier": "G93", "position": [4, 1], "step": 69, "ordinal_position": 70}, {"identifier": "I39", "position": [5, 1], "step": 70, "ordinal_position": 71}, {"identifier": "F42", "position": [5, 2], "step": 71, "ordinal_position": 72}, {"identifier": "R27", "position": [5, 3], "step": 72, "ordinal_position": 73}, {"identifier": "E16", "position": [5, 4], "step": 73, "ordinal_position": 74}, {"identifier": "C10", "position": [5, 5], "step": 74, "ordinal_position": 75}, {"identifier": "G43", "position": [4, 5], "step": 75, "ordinal_position": 76}, {"identifier": "U73", "position": [3, 5], "step": 76, "ordinal_position": 77}, {"identifier": "J74", "position": [2, 5], "step": 77, "ordinal_position": 78}, {"identifier": "D59", "position": [1, 5], "step": 78, "ordinal_position": 79}, {"identifier": "G89", "position": [1, 4], "step": 79, "ordinal_position": 80}, {"identifier": "J18", "position": [1, 3], "step": 80, "ordinal_position": 81}, {"identifier": "Y18", "position": [1, 2], "step": 81, "ordinal_position": 82}, {"identifier": "C59", "position": [1, 1], "step": 82, "ordinal_position": 83}, {"identifier": "E54", "position": [2, 1], "step": 83, "ordinal_position": 84}, {"identifier": "L92", "position": [3, 1], "step": 84, "ordinal_position": 85}, {"identifier": "G93", "position": [4, 1], "step": 85, "ordinal_position": 86}, {"identifier": "I39", "position": [5, 1], "step": 86, "ordinal_position": 87}, {"identifier": "F42", "position": [5, 2], "step": 87, "ordinal_position": 88}, {"identifier": "R27", "position": [5, 3], "step": 88, "ordinal_position": 89}, {"identifier": "E16", "position": [5, 4], "step": 89, "ordinal_position": 90}, {"identifier": "C10", "position": [5, 5], "step": 90, "ordinal_position": 91}, {"identifier": "G43", "position": [4, 5], "step": 91, "ordinal_position": 92}, {"identifier": "U73", "position": [3, 5], "step": 92, "ordinal_position": 93}, {"identifier": "J74", "position": [2, 5], "step": 93, "ordinal_position": 94}, {"identifier": "D59", "position": [1, 5], "step": 94, "ordinal_position": 95}, {"identifier": "G89", "position": [1, 4], "step": 95, "ordinal_position": 96}, {"identifier": "J18", "position": [1, 3], "step": 96, "ordinal_position": 97}, {"identifier": "Y18", "position": [1, 2], "step": 97, "ordinal_position": 98}, {"identifier": "C59", "position": [1, 1], "step": 98, "ordinal_position": 99}, {"identifier": "E54", "position": [2, 1], "step": 99, "ordinal_position": 100}, {"identifier": "L92", "position": [3, 1], "step": 100, "ordinal_position": 101}, {"identifier": "G93", "position": [4, 1], "step": 101, "ordinal_position": 102}, {"identifier": "I39", "position": [5, 1], "step": 102, "ordinal_position": 103}, {"identifier": "F42", "position": [5, 2], "step": 103, "ordinal_position": 104}, {"identifier": "R27", "position": [5, 3], "step": 104, "ordinal_position": 105}, {"identifier": "E16", "position": [5, 4], "step": 105, "ordinal_position": 106}, {"identifier": "C10", "position": [5, 5], "step": 106, "ordinal_position": 107}, {"identifier": "G43", "position": [4, 5], "step": 107, "ordinal_position": 108}, {"identifier": "U73", "position": [3, 5], "step": 108, "ordinal_position": 109}, {"identifier": "J74", "position": [2, 5], "step": 109, "ordinal_position": 110}, {"identifier": "D59", "position": [1, 5], "step": 110, "ordinal_position": 111}, {"identifier": "G89", "position": [1, 4], "step": 111, "ordinal_position": 112}, {"identifier": "J18", "position": [1, 3], "step": 112, "ordinal_position": 113}, {"identifier": "Y18", "position": [1, 2], "step": 113, "ordinal_position": 114}, {"identifier": "C59", "position": [1, 1], "step": 114, "ordinal_position": 115}, {"identifier": "E54", "position": [2, 1], "step": 115, "ordinal_position": 116}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 116, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_009.json"}} {"qa_id": "7e259476b6a5457ab446168bd6b90830", "image_id": "L3-MazeLoop-test_7x7_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G43, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 283rd position in this traversal?", "start_object_id": "G43", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [283], "ordinal_strings": ["283rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Y18", "traversal_path": [{"identifier": "G43", "position": [4, 5], "step": 0, "ordinal_position": 1}, {"identifier": "C10", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "E16", "position": [5, 4], "step": 2, "ordinal_position": 3}, {"identifier": "R27", "position": [5, 3], "step": 3, "ordinal_position": 4}, {"identifier": "F42", "position": [5, 2], "step": 4, "ordinal_position": 5}, {"identifier": "I39", "position": [5, 1], "step": 5, "ordinal_position": 6}, {"identifier": "G93", "position": [4, 1], "step": 6, "ordinal_position": 7}, {"identifier": "L92", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "E54", "position": [2, 1], "step": 8, "ordinal_position": 9}, {"identifier": "C59", "position": [1, 1], "step": 9, "ordinal_position": 10}, {"identifier": "Y18", "position": [1, 2], "step": 10, "ordinal_position": 11}, {"identifier": "J18", "position": [1, 3], "step": 11, "ordinal_position": 12}, {"identifier": "G89", "position": [1, 4], "step": 12, "ordinal_position": 13}, {"identifier": "D59", "position": [1, 5], "step": 13, "ordinal_position": 14}, {"identifier": "J74", "position": [2, 5], "step": 14, "ordinal_position": 15}, {"identifier": "U73", "position": [3, 5], "step": 15, "ordinal_position": 16}, {"identifier": "G43", "position": [4, 5], "step": 16, "ordinal_position": 17}, {"identifier": "C10", "position": [5, 5], "step": 17, "ordinal_position": 18}, {"identifier": "E16", "position": [5, 4], "step": 18, "ordinal_position": 19}, {"identifier": "R27", "position": [5, 3], "step": 19, "ordinal_position": 20}, {"identifier": "F42", "position": [5, 2], "step": 20, "ordinal_position": 21}, {"identifier": "I39", "position": [5, 1], "step": 21, "ordinal_position": 22}, {"identifier": "G93", "position": [4, 1], "step": 22, "ordinal_position": 23}, {"identifier": "L92", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "E54", "position": [2, 1], "step": 24, "ordinal_position": 25}, {"identifier": "C59", "position": [1, 1], "step": 25, "ordinal_position": 26}, {"identifier": "Y18", "position": [1, 2], "step": 26, "ordinal_position": 27}, {"identifier": "J18", "position": [1, 3], "step": 27, "ordinal_position": 28}, {"identifier": "G89", "position": [1, 4], "step": 28, "ordinal_position": 29}, {"identifier": "D59", "position": [1, 5], "step": 29, "ordinal_position": 30}, {"identifier": "J74", "position": [2, 5], "step": 30, "ordinal_position": 31}, {"identifier": "U73", "position": [3, 5], "step": 31, "ordinal_position": 32}, {"identifier": "G43", "position": [4, 5], "step": 32, "ordinal_position": 33}, {"identifier": "C10", "position": [5, 5], "step": 33, "ordinal_position": 34}, {"identifier": "E16", "position": [5, 4], "step": 34, "ordinal_position": 35}, {"identifier": "R27", "position": [5, 3], "step": 35, "ordinal_position": 36}, {"identifier": "F42", "position": [5, 2], "step": 36, "ordinal_position": 37}, {"identifier": "I39", "position": [5, 1], "step": 37, "ordinal_position": 38}, {"identifier": "G93", "position": [4, 1], "step": 38, "ordinal_position": 39}, {"identifier": "L92", "position": [3, 1], "step": 39, "ordinal_position": 40}, {"identifier": "E54", "position": [2, 1], "step": 40, "ordinal_position": 41}, {"identifier": "C59", "position": [1, 1], "step": 41, "ordinal_position": 42}, {"identifier": "Y18", "position": [1, 2], "step": 42, "ordinal_position": 43}, {"identifier": "J18", "position": [1, 3], "step": 43, "ordinal_position": 44}, {"identifier": "G89", "position": [1, 4], "step": 44, "ordinal_position": 45}, {"identifier": "D59", "position": [1, 5], "step": 45, "ordinal_position": 46}, {"identifier": "J74", "position": [2, 5], "step": 46, "ordinal_position": 47}, {"identifier": "U73", "position": [3, 5], "step": 47, "ordinal_position": 48}, {"identifier": "G43", "position": [4, 5], "step": 48, "ordinal_position": 49}, {"identifier": "C10", "position": [5, 5], "step": 49, "ordinal_position": 50}, {"identifier": "E16", "position": [5, 4], "step": 50, "ordinal_position": 51}, {"identifier": "R27", "position": [5, 3], "step": 51, "ordinal_position": 52}, {"identifier": "F42", "position": [5, 2], "step": 52, "ordinal_position": 53}, {"identifier": "I39", "position": [5, 1], "step": 53, "ordinal_position": 54}, {"identifier": "G93", "position": [4, 1], "step": 54, "ordinal_position": 55}, {"identifier": "L92", "position": [3, 1], "step": 55, "ordinal_position": 56}, {"identifier": "E54", "position": [2, 1], "step": 56, "ordinal_position": 57}, {"identifier": "C59", "position": [1, 1], "step": 57, "ordinal_position": 58}, {"identifier": "Y18", "position": [1, 2], "step": 58, "ordinal_position": 59}, {"identifier": "J18", "position": [1, 3], "step": 59, "ordinal_position": 60}, {"identifier": "G89", "position": [1, 4], "step": 60, "ordinal_position": 61}, {"identifier": "D59", "position": [1, 5], "step": 61, "ordinal_position": 62}, {"identifier": "J74", "position": [2, 5], "step": 62, "ordinal_position": 63}, {"identifier": "U73", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "G43", "position": [4, 5], "step": 64, "ordinal_position": 65}, {"identifier": "C10", "position": [5, 5], "step": 65, "ordinal_position": 66}, {"identifier": "E16", "position": [5, 4], "step": 66, "ordinal_position": 67}, {"identifier": "R27", "position": [5, 3], "step": 67, "ordinal_position": 68}, {"identifier": "F42", "position": [5, 2], "step": 68, "ordinal_position": 69}, {"identifier": "I39", "position": [5, 1], "step": 69, "ordinal_position": 70}, {"identifier": "G93", "position": [4, 1], "step": 70, "ordinal_position": 71}, {"identifier": "L92", "position": [3, 1], "step": 71, "ordinal_position": 72}, {"identifier": "E54", "position": [2, 1], "step": 72, "ordinal_position": 73}, {"identifier": "C59", "position": [1, 1], "step": 73, "ordinal_position": 74}, {"identifier": "Y18", "position": [1, 2], "step": 74, "ordinal_position": 75}, {"identifier": "J18", "position": [1, 3], "step": 75, "ordinal_position": 76}, {"identifier": "G89", "position": [1, 4], "step": 76, "ordinal_position": 77}, {"identifier": "D59", "position": [1, 5], "step": 77, "ordinal_position": 78}, {"identifier": "J74", "position": [2, 5], "step": 78, "ordinal_position": 79}, {"identifier": "U73", "position": [3, 5], "step": 79, "ordinal_position": 80}, {"identifier": "G43", "position": [4, 5], "step": 80, "ordinal_position": 81}, {"identifier": "C10", "position": [5, 5], "step": 81, "ordinal_position": 82}, {"identifier": "E16", "position": [5, 4], "step": 82, "ordinal_position": 83}, {"identifier": "R27", "position": [5, 3], "step": 83, "ordinal_position": 84}, {"identifier": "F42", "position": [5, 2], "step": 84, "ordinal_position": 85}, {"identifier": "I39", "position": [5, 1], "step": 85, "ordinal_position": 86}, {"identifier": "G93", "position": [4, 1], "step": 86, "ordinal_position": 87}, {"identifier": "L92", "position": [3, 1], "step": 87, "ordinal_position": 88}, {"identifier": "E54", "position": [2, 1], "step": 88, "ordinal_position": 89}, {"identifier": "C59", "position": [1, 1], "step": 89, "ordinal_position": 90}, {"identifier": "Y18", "position": [1, 2], "step": 90, "ordinal_position": 91}, {"identifier": "J18", "position": [1, 3], "step": 91, "ordinal_position": 92}, {"identifier": "G89", "position": [1, 4], "step": 92, "ordinal_position": 93}, {"identifier": "D59", "position": [1, 5], "step": 93, "ordinal_position": 94}, {"identifier": "J74", "position": [2, 5], "step": 94, "ordinal_position": 95}, {"identifier": "U73", "position": [3, 5], "step": 95, "ordinal_position": 96}, {"identifier": "G43", "position": [4, 5], "step": 96, "ordinal_position": 97}, {"identifier": "C10", "position": [5, 5], "step": 97, "ordinal_position": 98}, {"identifier": "E16", "position": [5, 4], "step": 98, "ordinal_position": 99}, {"identifier": "R27", "position": [5, 3], "step": 99, "ordinal_position": 100}, {"identifier": "F42", "position": [5, 2], "step": 100, "ordinal_position": 101}, {"identifier": "I39", "position": [5, 1], "step": 101, "ordinal_position": 102}, {"identifier": "G93", "position": [4, 1], "step": 102, "ordinal_position": 103}, {"identifier": "L92", "position": [3, 1], "step": 103, "ordinal_position": 104}, {"identifier": "E54", "position": [2, 1], "step": 104, "ordinal_position": 105}, {"identifier": "C59", "position": [1, 1], "step": 105, "ordinal_position": 106}, {"identifier": "Y18", "position": [1, 2], "step": 106, "ordinal_position": 107}, {"identifier": "J18", "position": [1, 3], "step": 107, "ordinal_position": 108}, {"identifier": "G89", "position": [1, 4], "step": 108, "ordinal_position": 109}, {"identifier": "D59", "position": [1, 5], "step": 109, "ordinal_position": 110}, {"identifier": "J74", "position": [2, 5], "step": 110, "ordinal_position": 111}, {"identifier": "U73", "position": [3, 5], "step": 111, "ordinal_position": 112}, {"identifier": "G43", "position": [4, 5], "step": 112, "ordinal_position": 113}, {"identifier": "C10", "position": [5, 5], "step": 113, "ordinal_position": 114}, {"identifier": "E16", "position": [5, 4], "step": 114, "ordinal_position": 115}, {"identifier": "R27", "position": [5, 3], "step": 115, "ordinal_position": 116}, {"identifier": "F42", "position": [5, 2], "step": 116, "ordinal_position": 117}, {"identifier": "I39", "position": [5, 1], "step": 117, "ordinal_position": 118}, {"identifier": "G93", "position": [4, 1], "step": 118, "ordinal_position": 119}, {"identifier": "L92", "position": [3, 1], "step": 119, "ordinal_position": 120}, {"identifier": "E54", "position": [2, 1], "step": 120, "ordinal_position": 121}, {"identifier": "C59", 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133, "ordinal_position": 134}, {"identifier": "G93", "position": [4, 1], "step": 134, "ordinal_position": 135}, {"identifier": "L92", "position": [3, 1], "step": 135, "ordinal_position": 136}, {"identifier": "E54", "position": [2, 1], "step": 136, "ordinal_position": 137}, {"identifier": "C59", "position": [1, 1], "step": 137, "ordinal_position": 138}, {"identifier": "Y18", "position": [1, 2], "step": 138, "ordinal_position": 139}, {"identifier": "J18", "position": [1, 3], "step": 139, "ordinal_position": 140}, {"identifier": "G89", "position": [1, 4], "step": 140, "ordinal_position": 141}, {"identifier": "D59", "position": [1, 5], "step": 141, "ordinal_position": 142}, {"identifier": "J74", "position": [2, 5], "step": 142, "ordinal_position": 143}, {"identifier": "U73", "position": [3, 5], "step": 143, "ordinal_position": 144}, {"identifier": "G43", "position": [4, 5], "step": 144, "ordinal_position": 145}, {"identifier": "C10", "position": [5, 5], "step": 145, "ordinal_position": 146}, {"identifier": "E16", "position": [5, 4], "step": 146, "ordinal_position": 147}, {"identifier": "R27", "position": [5, 3], "step": 147, "ordinal_position": 148}, {"identifier": "F42", "position": [5, 2], "step": 148, "ordinal_position": 149}, {"identifier": "I39", "position": [5, 1], "step": 149, "ordinal_position": 150}, {"identifier": "G93", "position": [4, 1], "step": 150, "ordinal_position": 151}, {"identifier": "L92", "position": [3, 1], "step": 151, "ordinal_position": 152}, {"identifier": "E54", "position": [2, 1], "step": 152, "ordinal_position": 153}, {"identifier": "C59", "position": [1, 1], "step": 153, "ordinal_position": 154}, {"identifier": "Y18", "position": [1, 2], "step": 154, "ordinal_position": 155}, {"identifier": "J18", "position": [1, 3], "step": 155, "ordinal_position": 156}, {"identifier": "G89", "position": [1, 4], "step": 156, "ordinal_position": 157}, {"identifier": "D59", "position": [1, 5], "step": 157, "ordinal_position": 158}, {"identifier": "J74", "position": [2, 5], "step": 158, "ordinal_position": 159}, {"identifier": "U73", "position": [3, 5], "step": 159, "ordinal_position": 160}, {"identifier": "G43", "position": [4, 5], "step": 160, "ordinal_position": 161}, {"identifier": "C10", "position": [5, 5], "step": 161, "ordinal_position": 162}, {"identifier": "E16", "position": [5, 4], "step": 162, "ordinal_position": 163}, {"identifier": "R27", "position": [5, 3], "step": 163, "ordinal_position": 164}, {"identifier": "F42", "position": [5, 2], "step": 164, "ordinal_position": 165}, {"identifier": "I39", "position": [5, 1], "step": 165, "ordinal_position": 166}, {"identifier": "G93", "position": [4, 1], "step": 166, "ordinal_position": 167}, {"identifier": "L92", "position": [3, 1], "step": 167, "ordinal_position": 168}, {"identifier": "E54", "position": [2, 1], "step": 168, "ordinal_position": 169}, {"identifier": "C59", "position": [1, 1], "step": 169, "ordinal_position": 170}, {"identifier": "Y18", "position": [1, 2], "step": 170, "ordinal_position": 171}, {"identifier": "J18", "position": [1, 3], "step": 171, "ordinal_position": 172}, {"identifier": "G89", "position": [1, 4], "step": 172, "ordinal_position": 173}, {"identifier": "D59", "position": [1, 5], "step": 173, "ordinal_position": 174}, {"identifier": "J74", "position": [2, 5], "step": 174, "ordinal_position": 175}, {"identifier": "U73", "position": [3, 5], "step": 175, "ordinal_position": 176}, {"identifier": "G43", "position": [4, 5], "step": 176, "ordinal_position": 177}, {"identifier": "C10", "position": [5, 5], "step": 177, "ordinal_position": 178}, {"identifier": "E16", "position": [5, 4], "step": 178, "ordinal_position": 179}, {"identifier": "R27", "position": [5, 3], "step": 179, "ordinal_position": 180}, {"identifier": "F42", "position": [5, 2], "step": 180, "ordinal_position": 181}, {"identifier": "I39", "position": [5, 1], "step": 181, "ordinal_position": 182}, {"identifier": "G93", "position": [4, 1], "step": 182, "ordinal_position": 183}, {"identifier": "L92", "position": [3, 1], "step": 183, "ordinal_position": 184}, {"identifier": "E54", "position": [2, 1], "step": 184, "ordinal_position": 185}, {"identifier": "C59", "position": [1, 1], "step": 185, "ordinal_position": 186}, {"identifier": "Y18", "position": [1, 2], "step": 186, "ordinal_position": 187}, {"identifier": "J18", "position": [1, 3], "step": 187, "ordinal_position": 188}, {"identifier": "G89", "position": [1, 4], "step": 188, "ordinal_position": 189}, {"identifier": "D59", "position": [1, 5], "step": 189, "ordinal_position": 190}, {"identifier": "J74", "position": [2, 5], "step": 190, "ordinal_position": 191}, {"identifier": "U73", "position": [3, 5], "step": 191, "ordinal_position": 192}, {"identifier": "G43", "position": [4, 5], "step": 192, "ordinal_position": 193}, {"identifier": "C10", "position": [5, 5], "step": 193, "ordinal_position": 194}, {"identifier": "E16", "position": [5, 4], "step": 194, "ordinal_position": 195}, {"identifier": "R27", "position": [5, 3], "step": 195, "ordinal_position": 196}, {"identifier": "F42", "position": [5, 2], "step": 196, "ordinal_position": 197}, {"identifier": "I39", "position": [5, 1], "step": 197, "ordinal_position": 198}, {"identifier": "G93", "position": [4, 1], "step": 198, "ordinal_position": 199}, {"identifier": "L92", "position": [3, 1], "step": 199, "ordinal_position": 200}, {"identifier": "E54", "position": [2, 1], "step": 200, "ordinal_position": 201}, {"identifier": "C59", "position": [1, 1], "step": 201, "ordinal_position": 202}, {"identifier": "Y18", "position": [1, 2], "step": 202, "ordinal_position": 203}, {"identifier": "J18", "position": [1, 3], "step": 203, "ordinal_position": 204}, {"identifier": "G89", "position": [1, 4], "step": 204, "ordinal_position": 205}, {"identifier": "D59", "position": [1, 5], "step": 205, "ordinal_position": 206}, {"identifier": "J74", "position": [2, 5], "step": 206, "ordinal_position": 207}, {"identifier": "U73", "position": [3, 5], "step": 207, "ordinal_position": 208}, {"identifier": "G43", "position": [4, 5], "step": 208, "ordinal_position": 209}, {"identifier": "C10", "position": [5, 5], "step": 209, "ordinal_position": 210}, {"identifier": "E16", "position": [5, 4], "step": 210, "ordinal_position": 211}, {"identifier": "R27", "position": [5, 3], "step": 211, "ordinal_position": 212}, {"identifier": "F42", "position": [5, 2], "step": 212, "ordinal_position": 213}, {"identifier": "I39", "position": [5, 1], "step": 213, "ordinal_position": 214}, {"identifier": "G93", "position": [4, 1], "step": 214, "ordinal_position": 215}, {"identifier": "L92", "position": [3, 1], "step": 215, "ordinal_position": 216}, {"identifier": "E54", "position": [2, 1], "step": 216, "ordinal_position": 217}, {"identifier": "C59", "position": [1, 1], "step": 217, "ordinal_position": 218}, {"identifier": "Y18", "position": [1, 2], "step": 218, "ordinal_position": 219}, {"identifier": "J18", "position": [1, 3], "step": 219, "ordinal_position": 220}, {"identifier": "G89", "position": [1, 4], "step": 220, "ordinal_position": 221}, {"identifier": "D59", "position": [1, 5], "step": 221, "ordinal_position": 222}, {"identifier": "J74", "position": [2, 5], "step": 222, "ordinal_position": 223}, {"identifier": "U73", "position": [3, 5], "step": 223, "ordinal_position": 224}, {"identifier": "G43", "position": [4, 5], "step": 224, "ordinal_position": 225}, {"identifier": "C10", "position": [5, 5], "step": 225, "ordinal_position": 226}, {"identifier": "E16", "position": [5, 4], "step": 226, "ordinal_position": 227}, {"identifier": "R27", "position": [5, 3], "step": 227, "ordinal_position": 228}, {"identifier": "F42", "position": [5, 2], "step": 228, "ordinal_position": 229}, {"identifier": "I39", "position": [5, 1], "step": 229, "ordinal_position": 230}, {"identifier": "G93", "position": [4, 1], "step": 230, "ordinal_position": 231}, {"identifier": "L92", "position": [3, 1], "step": 231, "ordinal_position": 232}, {"identifier": "E54", "position": [2, 1], "step": 232, "ordinal_position": 233}, {"identifier": "C59", "position": [1, 1], "step": 233, "ordinal_position": 234}, {"identifier": "Y18", "position": [1, 2], "step": 234, "ordinal_position": 235}, {"identifier": "J18", "position": [1, 3], "step": 235, "ordinal_position": 236}, {"identifier": "G89", "position": [1, 4], "step": 236, "ordinal_position": 237}, {"identifier": "D59", "position": [1, 5], "step": 237, "ordinal_position": 238}, {"identifier": "J74", "position": [2, 5], "step": 238, "ordinal_position": 239}, {"identifier": "U73", "position": [3, 5], "step": 239, "ordinal_position": 240}, {"identifier": "G43", "position": [4, 5], "step": 240, "ordinal_position": 241}, {"identifier": "C10", "position": [5, 5], "step": 241, "ordinal_position": 242}, {"identifier": "E16", "position": [5, 4], "step": 242, "ordinal_position": 243}, {"identifier": "R27", "position": [5, 3], "step": 243, "ordinal_position": 244}, {"identifier": "F42", "position": [5, 2], "step": 244, "ordinal_position": 245}, {"identifier": "I39", "position": [5, 1], "step": 245, "ordinal_position": 246}, {"identifier": "G93", "position": [4, 1], "step": 246, "ordinal_position": 247}, {"identifier": "L92", "position": [3, 1], "step": 247, "ordinal_position": 248}, {"identifier": "E54", "position": [2, 1], "step": 248, "ordinal_position": 249}, {"identifier": "C59", "position": [1, 1], "step": 249, "ordinal_position": 250}, {"identifier": "Y18", "position": [1, 2], "step": 250, "ordinal_position": 251}, {"identifier": "J18", "position": [1, 3], "step": 251, "ordinal_position": 252}, {"identifier": "G89", "position": [1, 4], "step": 252, "ordinal_position": 253}, {"identifier": "D59", "position": [1, 5], "step": 253, "ordinal_position": 254}, {"identifier": "J74", "position": [2, 5], "step": 254, "ordinal_position": 255}, {"identifier": "U73", "position": [3, 5], "step": 255, "ordinal_position": 256}, {"identifier": "G43", "position": [4, 5], "step": 256, "ordinal_position": 257}, {"identifier": "C10", "position": [5, 5], "step": 257, "ordinal_position": 258}, {"identifier": "E16", "position": [5, 4], "step": 258, "ordinal_position": 259}, {"identifier": "R27", "position": [5, 3], "step": 259, "ordinal_position": 260}, {"identifier": "F42", "position": [5, 2], "step": 260, "ordinal_position": 261}, {"identifier": "I39", "position": [5, 1], "step": 261, "ordinal_position": 262}, {"identifier": "G93", "position": [4, 1], "step": 262, "ordinal_position": 263}, {"identifier": "L92", "position": [3, 1], "step": 263, "ordinal_position": 264}, {"identifier": "E54", "position": [2, 1], "step": 264, "ordinal_position": 265}, {"identifier": "C59", "position": [1, 1], "step": 265, "ordinal_position": 266}, {"identifier": "Y18", "position": [1, 2], "step": 266, "ordinal_position": 267}, {"identifier": "J18", "position": [1, 3], "step": 267, "ordinal_position": 268}, {"identifier": "G89", "position": [1, 4], "step": 268, "ordinal_position": 269}, {"identifier": "D59", "position": [1, 5], "step": 269, "ordinal_position": 270}, {"identifier": "J74", "position": [2, 5], "step": 270, "ordinal_position": 271}, {"identifier": "U73", "position": [3, 5], "step": 271, "ordinal_position": 272}, {"identifier": "G43", "position": [4, 5], "step": 272, "ordinal_position": 273}, {"identifier": "C10", "position": [5, 5], "step": 273, "ordinal_position": 274}, {"identifier": "E16", "position": [5, 4], "step": 274, "ordinal_position": 275}, {"identifier": "R27", "position": [5, 3], "step": 275, "ordinal_position": 276}, {"identifier": "F42", "position": [5, 2], "step": 276, "ordinal_position": 277}, {"identifier": "I39", "position": [5, 1], "step": 277, "ordinal_position": 278}, {"identifier": "G93", "position": [4, 1], "step": 278, "ordinal_position": 279}, {"identifier": "L92", "position": [3, 1], "step": 279, "ordinal_position": 280}, {"identifier": "E54", "position": [2, 1], "step": 280, "ordinal_position": 281}, {"identifier": "C59", "position": [1, 1], "step": 281, "ordinal_position": 282}, {"identifier": "Y18", "position": [1, 2], "step": 282, "ordinal_position": 283}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 283, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_009.json"}} {"qa_id": "c2073e5599bf4296b77d26c63d7a99d7", "image_id": "L3-MazeLoop-test_7x7_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G93, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 243rd position in this traversal?", "start_object_id": "G93", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [243], "ordinal_strings": ["243rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "F42", "traversal_path": [{"identifier": "G93", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "I39", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "F42", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "R27", "position": [5, 3], "step": 3, "ordinal_position": 4}, {"identifier": "E16", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "C10", "position": [5, 5], "step": 5, "ordinal_position": 6}, {"identifier": "G43", "position": [4, 5], "step": 6, "ordinal_position": 7}, {"identifier": "U73", "position": [3, 5], "step": 7, "ordinal_position": 8}, {"identifier": "J74", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "D59", "position": [1, 5], "step": 9, "ordinal_position": 10}, {"identifier": "G89", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "J18", "position": [1, 3], "step": 11, "ordinal_position": 12}, {"identifier": "Y18", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "C59", "position": [1, 1], "step": 13, "ordinal_position": 14}, {"identifier": "E54", "position": [2, 1], "step": 14, "ordinal_position": 15}, {"identifier": "L92", "position": [3, 1], "step": 15, "ordinal_position": 16}, {"identifier": "G93", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "I39", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "F42", "position": [5, 2], "step": 18, "ordinal_position": 19}, {"identifier": "R27", "position": [5, 3], "step": 19, "ordinal_position": 20}, {"identifier": "E16", "position": [5, 4], "step": 20, "ordinal_position": 21}, {"identifier": "C10", "position": [5, 5], "step": 21, "ordinal_position": 22}, {"identifier": "G43", "position": [4, 5], "step": 22, "ordinal_position": 23}, {"identifier": "U73", "position": [3, 5], "step": 23, "ordinal_position": 24}, {"identifier": "J74", "position": [2, 5], "step": 24, "ordinal_position": 25}, {"identifier": "D59", "position": [1, 5], "step": 25, "ordinal_position": 26}, {"identifier": "G89", "position": [1, 4], "step": 26, "ordinal_position": 27}, {"identifier": "J18", "position": [1, 3], "step": 27, "ordinal_position": 28}, {"identifier": "Y18", "position": [1, 2], "step": 28, "ordinal_position": 29}, {"identifier": "C59", "position": [1, 1], "step": 29, "ordinal_position": 30}, {"identifier": "E54", "position": [2, 1], "step": 30, "ordinal_position": 31}, {"identifier": "L92", "position": [3, 1], "step": 31, "ordinal_position": 32}, {"identifier": "G93", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "I39", "position": [5, 1], "step": 33, "ordinal_position": 34}, {"identifier": "F42", "position": [5, 2], "step": 34, "ordinal_position": 35}, {"identifier": "R27", "position": [5, 3], "step": 35, "ordinal_position": 36}, {"identifier": "E16", "position": [5, 4], "step": 36, "ordinal_position": 37}, {"identifier": "C10", "position": [5, 5], "step": 37, "ordinal_position": 38}, {"identifier": "G43", "position": [4, 5], "step": 38, "ordinal_position": 39}, {"identifier": "U73", "position": [3, 5], "step": 39, "ordinal_position": 40}, {"identifier": "J74", "position": [2, 5], "step": 40, "ordinal_position": 41}, {"identifier": "D59", "position": [1, 5], "step": 41, "ordinal_position": 42}, {"identifier": "G89", "position": [1, 4], "step": 42, "ordinal_position": 43}, {"identifier": "J18", "position": [1, 3], "step": 43, "ordinal_position": 44}, {"identifier": "Y18", "position": [1, 2], "step": 44, "ordinal_position": 45}, {"identifier": "C59", "position": [1, 1], "step": 45, "ordinal_position": 46}, {"identifier": "E54", "position": [2, 1], "step": 46, "ordinal_position": 47}, {"identifier": "L92", "position": [3, 1], "step": 47, "ordinal_position": 48}, {"identifier": "G93", "position": [4, 1], "step": 48, "ordinal_position": 49}, {"identifier": "I39", "position": [5, 1], "step": 49, "ordinal_position": 50}, {"identifier": "F42", "position": [5, 2], "step": 50, "ordinal_position": 51}, {"identifier": "R27", "position": [5, 3], "step": 51, "ordinal_position": 52}, {"identifier": "E16", "position": [5, 4], "step": 52, "ordinal_position": 53}, {"identifier": "C10", "position": [5, 5], "step": 53, "ordinal_position": 54}, {"identifier": "G43", "position": [4, 5], "step": 54, "ordinal_position": 55}, {"identifier": "U73", "position": [3, 5], "step": 55, "ordinal_position": 56}, {"identifier": "J74", "position": [2, 5], "step": 56, "ordinal_position": 57}, {"identifier": "D59", "position": [1, 5], "step": 57, "ordinal_position": 58}, {"identifier": "G89", "position": [1, 4], "step": 58, "ordinal_position": 59}, {"identifier": "J18", "position": [1, 3], "step": 59, "ordinal_position": 60}, {"identifier": "Y18", "position": [1, 2], "step": 60, "ordinal_position": 61}, {"identifier": "C59", "position": [1, 1], "step": 61, "ordinal_position": 62}, {"identifier": "E54", "position": [2, 1], "step": 62, "ordinal_position": 63}, {"identifier": "L92", "position": [3, 1], "step": 63, "ordinal_position": 64}, {"identifier": "G93", "position": [4, 1], "step": 64, "ordinal_position": 65}, {"identifier": "I39", "position": [5, 1], "step": 65, "ordinal_position": 66}, {"identifier": "F42", "position": [5, 2], "step": 66, "ordinal_position": 67}, {"identifier": "R27", "position": [5, 3], "step": 67, "ordinal_position": 68}, {"identifier": "E16", "position": [5, 4], "step": 68, "ordinal_position": 69}, {"identifier": "C10", "position": [5, 5], "step": 69, "ordinal_position": 70}, {"identifier": "G43", "position": [4, 5], "step": 70, "ordinal_position": 71}, {"identifier": "U73", "position": [3, 5], "step": 71, "ordinal_position": 72}, {"identifier": "J74", "position": [2, 5], "step": 72, "ordinal_position": 73}, {"identifier": "D59", "position": [1, 5], "step": 73, "ordinal_position": 74}, {"identifier": "G89", "position": [1, 4], "step": 74, "ordinal_position": 75}, {"identifier": "J18", "position": [1, 3], "step": 75, "ordinal_position": 76}, {"identifier": "Y18", "position": [1, 2], "step": 76, "ordinal_position": 77}, {"identifier": "C59", "position": [1, 1], "step": 77, "ordinal_position": 78}, {"identifier": "E54", "position": [2, 1], "step": 78, "ordinal_position": 79}, {"identifier": "L92", "position": [3, 1], "step": 79, "ordinal_position": 80}, {"identifier": "G93", "position": [4, 1], "step": 80, "ordinal_position": 81}, {"identifier": "I39", "position": [5, 1], "step": 81, "ordinal_position": 82}, {"identifier": "F42", "position": [5, 2], "step": 82, "ordinal_position": 83}, {"identifier": "R27", "position": [5, 3], "step": 83, "ordinal_position": 84}, {"identifier": "E16", "position": [5, 4], "step": 84, "ordinal_position": 85}, {"identifier": "C10", "position": [5, 5], "step": 85, "ordinal_position": 86}, {"identifier": "G43", "position": [4, 5], "step": 86, "ordinal_position": 87}, {"identifier": "U73", "position": [3, 5], "step": 87, "ordinal_position": 88}, {"identifier": "J74", "position": [2, 5], "step": 88, "ordinal_position": 89}, {"identifier": "D59", "position": [1, 5], "step": 89, "ordinal_position": 90}, {"identifier": "G89", "position": [1, 4], "step": 90, "ordinal_position": 91}, {"identifier": "J18", "position": [1, 3], "step": 91, "ordinal_position": 92}, {"identifier": "Y18", "position": [1, 2], "step": 92, "ordinal_position": 93}, {"identifier": "C59", "position": [1, 1], "step": 93, "ordinal_position": 94}, {"identifier": "E54", "position": [2, 1], "step": 94, "ordinal_position": 95}, {"identifier": "L92", "position": [3, 1], "step": 95, "ordinal_position": 96}, {"identifier": "G93", "position": [4, 1], "step": 96, "ordinal_position": 97}, {"identifier": "I39", "position": [5, 1], "step": 97, "ordinal_position": 98}, {"identifier": "F42", "position": [5, 2], "step": 98, "ordinal_position": 99}, {"identifier": "R27", "position": [5, 3], "step": 99, "ordinal_position": 100}, {"identifier": "E16", "position": [5, 4], "step": 100, "ordinal_position": 101}, {"identifier": "C10", "position": [5, 5], "step": 101, "ordinal_position": 102}, {"identifier": "G43", "position": [4, 5], "step": 102, "ordinal_position": 103}, {"identifier": "U73", "position": [3, 5], "step": 103, "ordinal_position": 104}, {"identifier": "J74", "position": [2, 5], "step": 104, "ordinal_position": 105}, {"identifier": "D59", "position": [1, 5], "step": 105, "ordinal_position": 106}, {"identifier": "G89", "position": [1, 4], "step": 106, "ordinal_position": 107}, {"identifier": "J18", "position": [1, 3], "step": 107, "ordinal_position": 108}, {"identifier": "Y18", "position": [1, 2], "step": 108, "ordinal_position": 109}, {"identifier": "C59", "position": [1, 1], "step": 109, "ordinal_position": 110}, {"identifier": "E54", "position": [2, 1], "step": 110, "ordinal_position": 111}, {"identifier": "L92", "position": [3, 1], "step": 111, "ordinal_position": 112}, {"identifier": "G93", "position": [4, 1], "step": 112, "ordinal_position": 113}, {"identifier": "I39", "position": [5, 1], "step": 113, "ordinal_position": 114}, {"identifier": "F42", "position": [5, 2], "step": 114, "ordinal_position": 115}, {"identifier": "R27", "position": [5, 3], "step": 115, "ordinal_position": 116}, {"identifier": "E16", "position": [5, 4], "step": 116, "ordinal_position": 117}, {"identifier": "C10", "position": [5, 5], "step": 117, "ordinal_position": 118}, {"identifier": "G43", "position": [4, 5], "step": 118, "ordinal_position": 119}, {"identifier": "U73", "position": [3, 5], "step": 119, "ordinal_position": 120}, {"identifier": "J74", "position": [2, 5], "step": 120, "ordinal_position": 121}, {"identifier": "D59", "position": [1, 5], "step": 121, "ordinal_position": 122}, {"identifier": "G89", "position": [1, 4], "step": 122, "ordinal_position": 123}, {"identifier": "J18", "position": [1, 3], "step": 123, "ordinal_position": 124}, {"identifier": "Y18", "position": [1, 2], "step": 124, "ordinal_position": 125}, {"identifier": "C59", "position": [1, 1], "step": 125, "ordinal_position": 126}, {"identifier": "E54", "position": [2, 1], "step": 126, "ordinal_position": 127}, {"identifier": "L92", "position": [3, 1], "step": 127, "ordinal_position": 128}, {"identifier": "G93", "position": [4, 1], "step": 128, "ordinal_position": 129}, {"identifier": "I39", "position": [5, 1], "step": 129, "ordinal_position": 130}, {"identifier": "F42", "position": [5, 2], "step": 130, "ordinal_position": 131}, {"identifier": "R27", "position": [5, 3], "step": 131, "ordinal_position": 132}, {"identifier": "E16", "position": [5, 4], "step": 132, "ordinal_position": 133}, {"identifier": "C10", "position": [5, 5], "step": 133, "ordinal_position": 134}, {"identifier": "G43", "position": [4, 5], "step": 134, "ordinal_position": 135}, {"identifier": "U73", "position": [3, 5], "step": 135, "ordinal_position": 136}, {"identifier": "J74", "position": [2, 5], "step": 136, "ordinal_position": 137}, {"identifier": "D59", "position": [1, 5], "step": 137, "ordinal_position": 138}, {"identifier": "G89", "position": [1, 4], "step": 138, "ordinal_position": 139}, {"identifier": "J18", "position": [1, 3], "step": 139, "ordinal_position": 140}, {"identifier": "Y18", "position": [1, 2], "step": 140, "ordinal_position": 141}, {"identifier": "C59", "position": [1, 1], "step": 141, "ordinal_position": 142}, {"identifier": "E54", "position": [2, 1], "step": 142, "ordinal_position": 143}, {"identifier": "L92", "position": [3, 1], "step": 143, "ordinal_position": 144}, {"identifier": "G93", "position": [4, 1], "step": 144, "ordinal_position": 145}, {"identifier": "I39", "position": [5, 1], "step": 145, "ordinal_position": 146}, {"identifier": "F42", "position": [5, 2], "step": 146, "ordinal_position": 147}, {"identifier": "R27", "position": [5, 3], "step": 147, "ordinal_position": 148}, {"identifier": "E16", "position": [5, 4], "step": 148, "ordinal_position": 149}, {"identifier": "C10", "position": [5, 5], "step": 149, "ordinal_position": 150}, {"identifier": "G43", "position": [4, 5], "step": 150, "ordinal_position": 151}, {"identifier": "U73", "position": [3, 5], "step": 151, "ordinal_position": 152}, {"identifier": "J74", "position": [2, 5], "step": 152, "ordinal_position": 153}, {"identifier": "D59", "position": [1, 5], "step": 153, "ordinal_position": 154}, {"identifier": "G89", "position": [1, 4], "step": 154, "ordinal_position": 155}, {"identifier": "J18", "position": [1, 3], "step": 155, "ordinal_position": 156}, {"identifier": "Y18", "position": [1, 2], "step": 156, "ordinal_position": 157}, {"identifier": "C59", "position": [1, 1], "step": 157, "ordinal_position": 158}, {"identifier": "E54", "position": [2, 1], "step": 158, "ordinal_position": 159}, {"identifier": "L92", "position": [3, 1], "step": 159, "ordinal_position": 160}, {"identifier": "G93", "position": [4, 1], "step": 160, "ordinal_position": 161}, {"identifier": "I39", "position": [5, 1], "step": 161, "ordinal_position": 162}, {"identifier": "F42", "position": [5, 2], "step": 162, "ordinal_position": 163}, {"identifier": "R27", "position": [5, 3], "step": 163, "ordinal_position": 164}, {"identifier": "E16", "position": [5, 4], "step": 164, "ordinal_position": 165}, {"identifier": "C10", "position": [5, 5], "step": 165, "ordinal_position": 166}, {"identifier": "G43", "position": [4, 5], "step": 166, "ordinal_position": 167}, {"identifier": "U73", "position": [3, 5], "step": 167, "ordinal_position": 168}, {"identifier": "J74", "position": [2, 5], "step": 168, "ordinal_position": 169}, {"identifier": "D59", "position": [1, 5], "step": 169, "ordinal_position": 170}, {"identifier": "G89", "position": [1, 4], "step": 170, "ordinal_position": 171}, {"identifier": "J18", "position": [1, 3], "step": 171, "ordinal_position": 172}, {"identifier": "Y18", "position": [1, 2], "step": 172, "ordinal_position": 173}, {"identifier": "C59", "position": [1, 1], "step": 173, "ordinal_position": 174}, {"identifier": "E54", "position": [2, 1], "step": 174, "ordinal_position": 175}, {"identifier": "L92", "position": [3, 1], "step": 175, "ordinal_position": 176}, {"identifier": "G93", "position": [4, 1], "step": 176, "ordinal_position": 177}, {"identifier": "I39", "position": [5, 1], "step": 177, "ordinal_position": 178}, {"identifier": "F42", "position": [5, 2], "step": 178, "ordinal_position": 179}, {"identifier": "R27", "position": [5, 3], "step": 179, "ordinal_position": 180}, {"identifier": "E16", "position": [5, 4], "step": 180, "ordinal_position": 181}, {"identifier": "C10", "position": [5, 5], "step": 181, "ordinal_position": 182}, {"identifier": "G43", "position": [4, 5], "step": 182, "ordinal_position": 183}, {"identifier": "U73", "position": [3, 5], "step": 183, "ordinal_position": 184}, {"identifier": "J74", "position": [2, 5], "step": 184, "ordinal_position": 185}, {"identifier": "D59", "position": [1, 5], "step": 185, "ordinal_position": 186}, {"identifier": "G89", "position": [1, 4], "step": 186, "ordinal_position": 187}, {"identifier": "J18", "position": [1, 3], "step": 187, "ordinal_position": 188}, {"identifier": "Y18", "position": [1, 2], "step": 188, "ordinal_position": 189}, {"identifier": "C59", "position": [1, 1], "step": 189, "ordinal_position": 190}, {"identifier": "E54", "position": [2, 1], "step": 190, "ordinal_position": 191}, {"identifier": "L92", "position": [3, 1], "step": 191, "ordinal_position": 192}, {"identifier": "G93", "position": [4, 1], "step": 192, "ordinal_position": 193}, {"identifier": "I39", "position": [5, 1], "step": 193, "ordinal_position": 194}, {"identifier": "F42", "position": [5, 2], "step": 194, "ordinal_position": 195}, {"identifier": "R27", "position": [5, 3], "step": 195, "ordinal_position": 196}, {"identifier": "E16", "position": [5, 4], "step": 196, "ordinal_position": 197}, {"identifier": "C10", "position": [5, 5], "step": 197, "ordinal_position": 198}, {"identifier": "G43", "position": [4, 5], "step": 198, "ordinal_position": 199}, {"identifier": "U73", "position": [3, 5], "step": 199, "ordinal_position": 200}, {"identifier": "J74", "position": [2, 5], "step": 200, "ordinal_position": 201}, {"identifier": "D59", "position": [1, 5], "step": 201, "ordinal_position": 202}, {"identifier": "G89", "position": [1, 4], "step": 202, "ordinal_position": 203}, {"identifier": "J18", "position": [1, 3], "step": 203, "ordinal_position": 204}, {"identifier": "Y18", "position": [1, 2], "step": 204, "ordinal_position": 205}, {"identifier": "C59", "position": [1, 1], "step": 205, "ordinal_position": 206}, {"identifier": "E54", "position": [2, 1], "step": 206, "ordinal_position": 207}, {"identifier": "L92", "position": [3, 1], "step": 207, "ordinal_position": 208}, {"identifier": "G93", "position": [4, 1], "step": 208, "ordinal_position": 209}, {"identifier": "I39", "position": [5, 1], "step": 209, "ordinal_position": 210}, {"identifier": "F42", "position": [5, 2], "step": 210, "ordinal_position": 211}, {"identifier": "R27", "position": [5, 3], "step": 211, "ordinal_position": 212}, {"identifier": "E16", "position": [5, 4], "step": 212, "ordinal_position": 213}, {"identifier": "C10", "position": [5, 5], "step": 213, "ordinal_position": 214}, {"identifier": "G43", "position": [4, 5], "step": 214, "ordinal_position": 215}, {"identifier": "U73", "position": [3, 5], "step": 215, "ordinal_position": 216}, {"identifier": "J74", "position": [2, 5], "step": 216, "ordinal_position": 217}, {"identifier": "D59", "position": [1, 5], "step": 217, "ordinal_position": 218}, {"identifier": "G89", "position": [1, 4], "step": 218, "ordinal_position": 219}, {"identifier": "J18", "position": [1, 3], "step": 219, "ordinal_position": 220}, {"identifier": "Y18", "position": [1, 2], "step": 220, "ordinal_position": 221}, {"identifier": "C59", "position": [1, 1], "step": 221, "ordinal_position": 222}, {"identifier": "E54", "position": [2, 1], "step": 222, "ordinal_position": 223}, {"identifier": "L92", "position": [3, 1], "step": 223, "ordinal_position": 224}, {"identifier": "G93", "position": [4, 1], "step": 224, "ordinal_position": 225}, {"identifier": "I39", "position": [5, 1], "step": 225, "ordinal_position": 226}, {"identifier": "F42", "position": [5, 2], "step": 226, "ordinal_position": 227}, {"identifier": "R27", "position": [5, 3], "step": 227, "ordinal_position": 228}, {"identifier": "E16", "position": [5, 4], "step": 228, "ordinal_position": 229}, {"identifier": "C10", "position": [5, 5], "step": 229, "ordinal_position": 230}, {"identifier": "G43", "position": [4, 5], "step": 230, "ordinal_position": 231}, {"identifier": "U73", "position": [3, 5], "step": 231, "ordinal_position": 232}, {"identifier": "J74", "position": [2, 5], "step": 232, "ordinal_position": 233}, {"identifier": "D59", "position": [1, 5], "step": 233, "ordinal_position": 234}, {"identifier": "G89", "position": [1, 4], "step": 234, "ordinal_position": 235}, {"identifier": "J18", "position": [1, 3], "step": 235, "ordinal_position": 236}, {"identifier": "Y18", "position": [1, 2], "step": 236, "ordinal_position": 237}, {"identifier": "C59", "position": [1, 1], "step": 237, "ordinal_position": 238}, {"identifier": "E54", "position": [2, 1], "step": 238, "ordinal_position": 239}, {"identifier": "L92", "position": [3, 1], "step": 239, "ordinal_position": 240}, {"identifier": "G93", "position": [4, 1], "step": 240, "ordinal_position": 241}, {"identifier": "I39", "position": [5, 1], "step": 241, "ordinal_position": 242}, {"identifier": "F42", "position": [5, 2], "step": 242, "ordinal_position": 243}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 243, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_009.json"}} {"qa_id": "03f514c105db4d5484d0602287af890a", "image_id": "L3-MazeLoop-test_7x7_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C59, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 289th position in this traversal?", "start_object_id": "C59", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [289], "ordinal_strings": ["289th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "C59", "traversal_path": [{"identifier": "C59", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "E54", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "L92", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "G93", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "I39", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "F42", "position": [5, 2], "step": 5, "ordinal_position": 6}, {"identifier": "R27", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "E16", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "C10", "position": [5, 5], "step": 8, "ordinal_position": 9}, {"identifier": "G43", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "U73", "position": [3, 5], "step": 10, "ordinal_position": 11}, {"identifier": "J74", "position": [2, 5], "step": 11, "ordinal_position": 12}, {"identifier": "D59", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "G89", "position": [1, 4], "step": 13, "ordinal_position": 14}, {"identifier": "J18", "position": [1, 3], "step": 14, "ordinal_position": 15}, {"identifier": "Y18", "position": [1, 2], "step": 15, "ordinal_position": 16}, {"identifier": "C59", "position": [1, 1], "step": 16, "ordinal_position": 17}, {"identifier": "E54", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "L92", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "G93", "position": [4, 1], "step": 19, "ordinal_position": 20}, {"identifier": "I39", "position": [5, 1], "step": 20, "ordinal_position": 21}, {"identifier": "F42", "position": [5, 2], "step": 21, "ordinal_position": 22}, {"identifier": "R27", "position": [5, 3], "step": 22, "ordinal_position": 23}, {"identifier": "E16", "position": [5, 4], "step": 23, "ordinal_position": 24}, {"identifier": "C10", "position": [5, 5], "step": 24, "ordinal_position": 25}, {"identifier": "G43", "position": [4, 5], "step": 25, "ordinal_position": 26}, {"identifier": "U73", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "J74", "position": [2, 5], "step": 27, "ordinal_position": 28}, {"identifier": "D59", "position": [1, 5], "step": 28, "ordinal_position": 29}, {"identifier": "G89", "position": [1, 4], "step": 29, "ordinal_position": 30}, {"identifier": "J18", "position": [1, 3], "step": 30, "ordinal_position": 31}, {"identifier": "Y18", "position": [1, 2], "step": 31, "ordinal_position": 32}, {"identifier": "C59", "position": [1, 1], "step": 32, "ordinal_position": 33}, {"identifier": "E54", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "L92", "position": [3, 1], "step": 34, "ordinal_position": 35}, {"identifier": "G93", "position": [4, 1], "step": 35, "ordinal_position": 36}, {"identifier": "I39", "position": [5, 1], "step": 36, "ordinal_position": 37}, {"identifier": "F42", "position": [5, 2], "step": 37, "ordinal_position": 38}, {"identifier": "R27", "position": [5, 3], "step": 38, "ordinal_position": 39}, {"identifier": "E16", "position": [5, 4], "step": 39, "ordinal_position": 40}, {"identifier": "C10", "position": [5, 5], "step": 40, "ordinal_position": 41}, {"identifier": "G43", "position": [4, 5], "step": 41, "ordinal_position": 42}, {"identifier": "U73", "position": [3, 5], "step": 42, "ordinal_position": 43}, {"identifier": "J74", "position": [2, 5], "step": 43, "ordinal_position": 44}, {"identifier": "D59", "position": [1, 5], "step": 44, "ordinal_position": 45}, {"identifier": "G89", "position": [1, 4], "step": 45, "ordinal_position": 46}, {"identifier": "J18", "position": [1, 3], "step": 46, "ordinal_position": 47}, {"identifier": "Y18", "position": [1, 2], "step": 47, "ordinal_position": 48}, {"identifier": "C59", "position": [1, 1], "step": 48, "ordinal_position": 49}, {"identifier": "E54", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "L92", "position": [3, 1], "step": 50, "ordinal_position": 51}, {"identifier": "G93", "position": [4, 1], "step": 51, "ordinal_position": 52}, {"identifier": "I39", "position": [5, 1], "step": 52, "ordinal_position": 53}, {"identifier": "F42", "position": [5, 2], "step": 53, "ordinal_position": 54}, {"identifier": "R27", "position": [5, 3], "step": 54, "ordinal_position": 55}, {"identifier": "E16", "position": [5, 4], "step": 55, "ordinal_position": 56}, {"identifier": "C10", "position": [5, 5], "step": 56, "ordinal_position": 57}, {"identifier": "G43", "position": [4, 5], "step": 57, "ordinal_position": 58}, {"identifier": "U73", "position": [3, 5], "step": 58, "ordinal_position": 59}, {"identifier": "J74", "position": [2, 5], "step": 59, "ordinal_position": 60}, {"identifier": "D59", "position": [1, 5], "step": 60, "ordinal_position": 61}, {"identifier": "G89", "position": [1, 4], "step": 61, "ordinal_position": 62}, {"identifier": "J18", "position": [1, 3], "step": 62, "ordinal_position": 63}, {"identifier": "Y18", "position": [1, 2], "step": 63, "ordinal_position": 64}, {"identifier": "C59", "position": [1, 1], "step": 64, "ordinal_position": 65}, {"identifier": "E54", "position": [2, 1], "step": 65, "ordinal_position": 66}, {"identifier": "L92", "position": [3, 1], "step": 66, "ordinal_position": 67}, {"identifier": "G93", "position": [4, 1], "step": 67, "ordinal_position": 68}, {"identifier": "I39", "position": [5, 1], "step": 68, "ordinal_position": 69}, {"identifier": "F42", "position": [5, 2], "step": 69, "ordinal_position": 70}, {"identifier": "R27", "position": [5, 3], "step": 70, "ordinal_position": 71}, {"identifier": "E16", "position": [5, 4], "step": 71, "ordinal_position": 72}, {"identifier": "C10", "position": [5, 5], "step": 72, "ordinal_position": 73}, {"identifier": "G43", "position": [4, 5], "step": 73, "ordinal_position": 74}, {"identifier": "U73", "position": [3, 5], "step": 74, "ordinal_position": 75}, {"identifier": "J74", "position": [2, 5], "step": 75, "ordinal_position": 76}, {"identifier": "D59", "position": [1, 5], "step": 76, "ordinal_position": 77}, {"identifier": "G89", "position": [1, 4], "step": 77, "ordinal_position": 78}, {"identifier": "J18", "position": [1, 3], "step": 78, "ordinal_position": 79}, {"identifier": "Y18", "position": [1, 2], "step": 79, "ordinal_position": 80}, {"identifier": "C59", "position": [1, 1], "step": 80, "ordinal_position": 81}, {"identifier": "E54", "position": [2, 1], "step": 81, "ordinal_position": 82}, {"identifier": "L92", "position": [3, 1], "step": 82, "ordinal_position": 83}, {"identifier": "G93", "position": [4, 1], "step": 83, "ordinal_position": 84}, {"identifier": "I39", "position": [5, 1], "step": 84, "ordinal_position": 85}, {"identifier": "F42", "position": [5, 2], "step": 85, "ordinal_position": 86}, {"identifier": "R27", "position": [5, 3], "step": 86, "ordinal_position": 87}, {"identifier": "E16", "position": [5, 4], "step": 87, "ordinal_position": 88}, {"identifier": "C10", "position": [5, 5], "step": 88, "ordinal_position": 89}, {"identifier": "G43", "position": [4, 5], "step": 89, "ordinal_position": 90}, {"identifier": "U73", "position": [3, 5], "step": 90, "ordinal_position": 91}, {"identifier": "J74", "position": [2, 5], "step": 91, "ordinal_position": 92}, {"identifier": "D59", "position": [1, 5], "step": 92, "ordinal_position": 93}, {"identifier": "G89", "position": [1, 4], "step": 93, "ordinal_position": 94}, {"identifier": "J18", "position": [1, 3], "step": 94, "ordinal_position": 95}, {"identifier": "Y18", "position": [1, 2], "step": 95, "ordinal_position": 96}, {"identifier": "C59", "position": [1, 1], "step": 96, "ordinal_position": 97}, {"identifier": "E54", "position": [2, 1], "step": 97, "ordinal_position": 98}, {"identifier": "L92", "position": [3, 1], "step": 98, "ordinal_position": 99}, {"identifier": "G93", "position": [4, 1], "step": 99, "ordinal_position": 100}, {"identifier": "I39", "position": [5, 1], "step": 100, "ordinal_position": 101}, {"identifier": "F42", "position": [5, 2], "step": 101, "ordinal_position": 102}, {"identifier": "R27", "position": [5, 3], "step": 102, "ordinal_position": 103}, {"identifier": "E16", "position": [5, 4], "step": 103, "ordinal_position": 104}, {"identifier": "C10", "position": [5, 5], "step": 104, "ordinal_position": 105}, {"identifier": "G43", "position": [4, 5], "step": 105, "ordinal_position": 106}, {"identifier": "U73", "position": [3, 5], "step": 106, "ordinal_position": 107}, {"identifier": "J74", "position": [2, 5], "step": 107, "ordinal_position": 108}, {"identifier": "D59", "position": [1, 5], "step": 108, "ordinal_position": 109}, {"identifier": "G89", "position": [1, 4], "step": 109, "ordinal_position": 110}, {"identifier": "J18", "position": [1, 3], "step": 110, "ordinal_position": 111}, {"identifier": "Y18", "position": [1, 2], "step": 111, "ordinal_position": 112}, {"identifier": "C59", "position": [1, 1], "step": 112, "ordinal_position": 113}, {"identifier": "E54", "position": [2, 1], "step": 113, "ordinal_position": 114}, {"identifier": "L92", "position": [3, 1], "step": 114, "ordinal_position": 115}, {"identifier": "G93", "position": [4, 1], "step": 115, "ordinal_position": 116}, {"identifier": "I39", "position": [5, 1], "step": 116, "ordinal_position": 117}, {"identifier": "F42", "position": [5, 2], "step": 117, "ordinal_position": 118}, {"identifier": "R27", "position": [5, 3], "step": 118, "ordinal_position": 119}, {"identifier": "E16", "position": [5, 4], "step": 119, "ordinal_position": 120}, {"identifier": "C10", "position": [5, 5], "step": 120, "ordinal_position": 121}, {"identifier": "G43", "position": [4, 5], "step": 121, "ordinal_position": 122}, {"identifier": "U73", "position": [3, 5], "step": 122, "ordinal_position": 123}, {"identifier": "J74", "position": [2, 5], "step": 123, "ordinal_position": 124}, {"identifier": "D59", "position": [1, 5], "step": 124, "ordinal_position": 125}, {"identifier": "G89", "position": [1, 4], "step": 125, "ordinal_position": 126}, {"identifier": "J18", "position": [1, 3], "step": 126, "ordinal_position": 127}, {"identifier": "Y18", "position": [1, 2], "step": 127, "ordinal_position": 128}, {"identifier": "C59", "position": [1, 1], "step": 128, "ordinal_position": 129}, {"identifier": "E54", "position": [2, 1], "step": 129, "ordinal_position": 130}, {"identifier": "L92", "position": [3, 1], "step": 130, "ordinal_position": 131}, {"identifier": "G93", "position": [4, 1], "step": 131, "ordinal_position": 132}, {"identifier": "I39", "position": [5, 1], "step": 132, "ordinal_position": 133}, {"identifier": "F42", "position": [5, 2], "step": 133, "ordinal_position": 134}, {"identifier": "R27", "position": [5, 3], "step": 134, "ordinal_position": 135}, {"identifier": "E16", "position": [5, 4], "step": 135, "ordinal_position": 136}, {"identifier": "C10", "position": [5, 5], "step": 136, "ordinal_position": 137}, {"identifier": "G43", "position": [4, 5], "step": 137, "ordinal_position": 138}, {"identifier": "U73", "position": [3, 5], "step": 138, "ordinal_position": 139}, {"identifier": "J74", "position": [2, 5], "step": 139, "ordinal_position": 140}, {"identifier": "D59", "position": [1, 5], "step": 140, "ordinal_position": 141}, {"identifier": "G89", "position": [1, 4], "step": 141, "ordinal_position": 142}, {"identifier": "J18", "position": [1, 3], "step": 142, "ordinal_position": 143}, {"identifier": "Y18", "position": [1, 2], "step": 143, "ordinal_position": 144}, {"identifier": "C59", "position": [1, 1], "step": 144, "ordinal_position": 145}, {"identifier": "E54", "position": [2, 1], "step": 145, "ordinal_position": 146}, {"identifier": "L92", "position": [3, 1], "step": 146, "ordinal_position": 147}, {"identifier": "G93", "position": [4, 1], "step": 147, "ordinal_position": 148}, {"identifier": "I39", "position": [5, 1], "step": 148, "ordinal_position": 149}, {"identifier": "F42", "position": [5, 2], "step": 149, "ordinal_position": 150}, {"identifier": "R27", "position": [5, 3], "step": 150, "ordinal_position": 151}, {"identifier": "E16", "position": [5, 4], "step": 151, "ordinal_position": 152}, {"identifier": "C10", "position": [5, 5], "step": 152, "ordinal_position": 153}, {"identifier": "G43", "position": [4, 5], "step": 153, "ordinal_position": 154}, {"identifier": "U73", "position": [3, 5], "step": 154, "ordinal_position": 155}, {"identifier": "J74", "position": [2, 5], "step": 155, "ordinal_position": 156}, {"identifier": "D59", "position": [1, 5], "step": 156, "ordinal_position": 157}, {"identifier": "G89", "position": [1, 4], "step": 157, "ordinal_position": 158}, {"identifier": "J18", "position": [1, 3], "step": 158, "ordinal_position": 159}, {"identifier": "Y18", "position": [1, 2], "step": 159, "ordinal_position": 160}, {"identifier": "C59", "position": [1, 1], "step": 160, "ordinal_position": 161}, {"identifier": "E54", "position": [2, 1], "step": 161, "ordinal_position": 162}, {"identifier": "L92", "position": [3, 1], "step": 162, "ordinal_position": 163}, {"identifier": "G93", "position": [4, 1], "step": 163, "ordinal_position": 164}, {"identifier": "I39", "position": [5, 1], "step": 164, "ordinal_position": 165}, {"identifier": "F42", "position": [5, 2], "step": 165, "ordinal_position": 166}, {"identifier": "R27", "position": [5, 3], "step": 166, "ordinal_position": 167}, {"identifier": "E16", "position": [5, 4], "step": 167, "ordinal_position": 168}, {"identifier": "C10", "position": [5, 5], "step": 168, "ordinal_position": 169}, {"identifier": "G43", "position": [4, 5], "step": 169, "ordinal_position": 170}, {"identifier": "U73", "position": [3, 5], "step": 170, "ordinal_position": 171}, {"identifier": "J74", "position": [2, 5], "step": 171, "ordinal_position": 172}, {"identifier": "D59", "position": [1, 5], "step": 172, "ordinal_position": 173}, {"identifier": "G89", "position": [1, 4], "step": 173, "ordinal_position": 174}, {"identifier": "J18", "position": [1, 3], "step": 174, "ordinal_position": 175}, {"identifier": "Y18", "position": [1, 2], "step": 175, "ordinal_position": 176}, {"identifier": "C59", "position": [1, 1], "step": 176, "ordinal_position": 177}, {"identifier": "E54", "position": [2, 1], "step": 177, "ordinal_position": 178}, {"identifier": "L92", "position": [3, 1], "step": 178, "ordinal_position": 179}, {"identifier": "G93", "position": [4, 1], "step": 179, "ordinal_position": 180}, {"identifier": "I39", "position": [5, 1], "step": 180, "ordinal_position": 181}, {"identifier": "F42", "position": [5, 2], "step": 181, "ordinal_position": 182}, {"identifier": "R27", "position": [5, 3], "step": 182, "ordinal_position": 183}, {"identifier": "E16", "position": [5, 4], "step": 183, "ordinal_position": 184}, {"identifier": "C10", "position": [5, 5], "step": 184, "ordinal_position": 185}, {"identifier": "G43", "position": [4, 5], "step": 185, "ordinal_position": 186}, {"identifier": "U73", "position": [3, 5], "step": 186, "ordinal_position": 187}, {"identifier": "J74", "position": [2, 5], "step": 187, "ordinal_position": 188}, {"identifier": "D59", "position": [1, 5], "step": 188, "ordinal_position": 189}, {"identifier": "G89", "position": [1, 4], "step": 189, "ordinal_position": 190}, {"identifier": "J18", "position": [1, 3], "step": 190, "ordinal_position": 191}, {"identifier": "Y18", "position": [1, 2], "step": 191, "ordinal_position": 192}, {"identifier": "C59", "position": [1, 1], "step": 192, "ordinal_position": 193}, {"identifier": "E54", "position": [2, 1], "step": 193, "ordinal_position": 194}, {"identifier": "L92", "position": [3, 1], "step": 194, "ordinal_position": 195}, {"identifier": "G93", "position": [4, 1], "step": 195, "ordinal_position": 196}, {"identifier": "I39", "position": [5, 1], "step": 196, "ordinal_position": 197}, {"identifier": "F42", "position": [5, 2], "step": 197, "ordinal_position": 198}, {"identifier": "R27", "position": [5, 3], "step": 198, "ordinal_position": 199}, {"identifier": "E16", "position": [5, 4], "step": 199, "ordinal_position": 200}, {"identifier": "C10", "position": [5, 5], "step": 200, "ordinal_position": 201}, {"identifier": "G43", "position": [4, 5], "step": 201, "ordinal_position": 202}, {"identifier": "U73", "position": [3, 5], "step": 202, "ordinal_position": 203}, {"identifier": "J74", "position": [2, 5], "step": 203, "ordinal_position": 204}, {"identifier": "D59", "position": [1, 5], "step": 204, "ordinal_position": 205}, {"identifier": "G89", "position": [1, 4], "step": 205, "ordinal_position": 206}, {"identifier": "J18", "position": [1, 3], "step": 206, "ordinal_position": 207}, {"identifier": "Y18", "position": [1, 2], "step": 207, "ordinal_position": 208}, {"identifier": "C59", "position": [1, 1], "step": 208, "ordinal_position": 209}, {"identifier": "E54", "position": [2, 1], "step": 209, "ordinal_position": 210}, {"identifier": "L92", "position": [3, 1], "step": 210, "ordinal_position": 211}, {"identifier": "G93", "position": [4, 1], "step": 211, "ordinal_position": 212}, {"identifier": "I39", "position": [5, 1], "step": 212, "ordinal_position": 213}, {"identifier": "F42", "position": [5, 2], "step": 213, "ordinal_position": 214}, {"identifier": "R27", "position": [5, 3], "step": 214, "ordinal_position": 215}, {"identifier": "E16", "position": [5, 4], "step": 215, "ordinal_position": 216}, {"identifier": "C10", "position": [5, 5], "step": 216, "ordinal_position": 217}, {"identifier": "G43", "position": [4, 5], "step": 217, "ordinal_position": 218}, {"identifier": "U73", "position": [3, 5], "step": 218, "ordinal_position": 219}, {"identifier": "J74", "position": [2, 5], "step": 219, "ordinal_position": 220}, {"identifier": "D59", "position": [1, 5], "step": 220, "ordinal_position": 221}, {"identifier": "G89", "position": [1, 4], "step": 221, "ordinal_position": 222}, {"identifier": "J18", "position": [1, 3], "step": 222, "ordinal_position": 223}, {"identifier": "Y18", "position": [1, 2], "step": 223, "ordinal_position": 224}, {"identifier": "C59", "position": [1, 1], "step": 224, "ordinal_position": 225}, {"identifier": "E54", "position": [2, 1], "step": 225, "ordinal_position": 226}, {"identifier": "L92", "position": [3, 1], "step": 226, "ordinal_position": 227}, {"identifier": "G93", "position": [4, 1], "step": 227, "ordinal_position": 228}, {"identifier": "I39", "position": [5, 1], "step": 228, "ordinal_position": 229}, {"identifier": "F42", "position": [5, 2], "step": 229, "ordinal_position": 230}, {"identifier": "R27", "position": [5, 3], "step": 230, "ordinal_position": 231}, {"identifier": "E16", "position": [5, 4], "step": 231, "ordinal_position": 232}, {"identifier": "C10", "position": [5, 5], "step": 232, "ordinal_position": 233}, {"identifier": "G43", "position": [4, 5], "step": 233, "ordinal_position": 234}, {"identifier": "U73", "position": [3, 5], "step": 234, "ordinal_position": 235}, {"identifier": "J74", "position": [2, 5], "step": 235, "ordinal_position": 236}, {"identifier": "D59", "position": [1, 5], "step": 236, "ordinal_position": 237}, {"identifier": "G89", "position": [1, 4], "step": 237, "ordinal_position": 238}, {"identifier": "J18", "position": [1, 3], "step": 238, "ordinal_position": 239}, {"identifier": "Y18", "position": [1, 2], "step": 239, "ordinal_position": 240}, {"identifier": "C59", "position": [1, 1], "step": 240, "ordinal_position": 241}, {"identifier": "E54", "position": [2, 1], "step": 241, "ordinal_position": 242}, {"identifier": "L92", "position": [3, 1], "step": 242, "ordinal_position": 243}, {"identifier": "G93", "position": [4, 1], "step": 243, "ordinal_position": 244}, {"identifier": "I39", "position": [5, 1], "step": 244, "ordinal_position": 245}, {"identifier": "F42", "position": [5, 2], "step": 245, "ordinal_position": 246}, {"identifier": "R27", "position": [5, 3], "step": 246, "ordinal_position": 247}, {"identifier": "E16", "position": [5, 4], "step": 247, "ordinal_position": 248}, {"identifier": "C10", "position": [5, 5], "step": 248, "ordinal_position": 249}, {"identifier": "G43", "position": [4, 5], "step": 249, "ordinal_position": 250}, {"identifier": "U73", "position": [3, 5], "step": 250, "ordinal_position": 251}, {"identifier": "J74", "position": [2, 5], "step": 251, "ordinal_position": 252}, {"identifier": "D59", "position": [1, 5], "step": 252, "ordinal_position": 253}, {"identifier": "G89", "position": [1, 4], "step": 253, "ordinal_position": 254}, {"identifier": "J18", "position": [1, 3], "step": 254, "ordinal_position": 255}, {"identifier": "Y18", "position": [1, 2], "step": 255, "ordinal_position": 256}, {"identifier": "C59", "position": [1, 1], "step": 256, "ordinal_position": 257}, {"identifier": "E54", "position": [2, 1], "step": 257, "ordinal_position": 258}, {"identifier": "L92", "position": [3, 1], "step": 258, "ordinal_position": 259}, {"identifier": "G93", "position": [4, 1], "step": 259, "ordinal_position": 260}, {"identifier": "I39", "position": [5, 1], "step": 260, "ordinal_position": 261}, {"identifier": "F42", "position": [5, 2], "step": 261, "ordinal_position": 262}, {"identifier": "R27", "position": [5, 3], "step": 262, "ordinal_position": 263}, {"identifier": "E16", "position": [5, 4], "step": 263, "ordinal_position": 264}, {"identifier": "C10", "position": [5, 5], "step": 264, "ordinal_position": 265}, {"identifier": "G43", "position": [4, 5], "step": 265, "ordinal_position": 266}, {"identifier": "U73", "position": [3, 5], "step": 266, "ordinal_position": 267}, {"identifier": "J74", "position": [2, 5], "step": 267, "ordinal_position": 268}, {"identifier": "D59", "position": [1, 5], "step": 268, "ordinal_position": 269}, {"identifier": "G89", "position": [1, 4], "step": 269, "ordinal_position": 270}, {"identifier": "J18", "position": [1, 3], "step": 270, "ordinal_position": 271}, {"identifier": "Y18", "position": [1, 2], "step": 271, "ordinal_position": 272}, {"identifier": "C59", "position": [1, 1], "step": 272, "ordinal_position": 273}, {"identifier": "E54", "position": [2, 1], "step": 273, "ordinal_position": 274}, {"identifier": "L92", "position": [3, 1], "step": 274, "ordinal_position": 275}, {"identifier": "G93", "position": [4, 1], "step": 275, "ordinal_position": 276}, {"identifier": "I39", "position": [5, 1], "step": 276, "ordinal_position": 277}, {"identifier": "F42", "position": [5, 2], "step": 277, "ordinal_position": 278}, {"identifier": "R27", "position": [5, 3], "step": 278, "ordinal_position": 279}, {"identifier": "E16", "position": [5, 4], "step": 279, "ordinal_position": 280}, {"identifier": "C10", "position": [5, 5], "step": 280, "ordinal_position": 281}, {"identifier": "G43", "position": [4, 5], "step": 281, "ordinal_position": 282}, {"identifier": "U73", "position": [3, 5], "step": 282, "ordinal_position": 283}, {"identifier": "J74", "position": [2, 5], "step": 283, "ordinal_position": 284}, {"identifier": "D59", "position": [1, 5], "step": 284, "ordinal_position": 285}, {"identifier": "G89", "position": [1, 4], "step": 285, "ordinal_position": 286}, {"identifier": "J18", "position": [1, 3], "step": 286, "ordinal_position": 287}, {"identifier": "Y18", "position": [1, 2], "step": 287, "ordinal_position": 288}, {"identifier": "C59", "position": [1, 1], "step": 288, "ordinal_position": 289}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 289, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_009.json"}} {"qa_id": "063c5610d12a4ac093f8ed3b248ea274", "image_id": "L3-MazeLoop-test_7x7_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F68, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "F68", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "M41", "traversal_path": [{"identifier": "F68", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "F44", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "P36", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "K74", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "O85", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "S71", "position": [5, 1], "step": 5, "ordinal_position": 6}, {"identifier": "M41", "position": [5, 2], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_010.json"}} {"qa_id": "bb4de20f14ac442ba2f232f875d8def0", "image_id": "L3-MazeLoop-test_7x7_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O54, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "O54", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K74", "traversal_path": [{"identifier": "O54", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "J80", "position": [2, 3], "step": 1, "ordinal_position": 2}, {"identifier": "Y70", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "B82", "position": [3, 2], "step": 3, "ordinal_position": 4}, {"identifier": "K74", "position": [3, 1], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_010.json"}} {"qa_id": "f497cdd3026e4ebc8ab7a6b6312ace19", "image_id": "L3-MazeLoop-test_7x7_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B82, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "B82", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "R25", "traversal_path": [{"identifier": "B82", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "Y70", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "J80", "position": [2, 3], "step": 2, "ordinal_position": 3}, {"identifier": "O54", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "P63", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "R25", "position": [1, 5], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 6, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_010.json"}} {"qa_id": "eba51e0fb0c341a298e6617843cf43f1", "image_id": "L3-MazeLoop-test_7x7_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J80, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "J80", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "F44", "traversal_path": [{"identifier": "J80", "position": [2, 3], "step": 0, "ordinal_position": 1}, {"identifier": "O54", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "F68", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "F44", "position": [1, 1], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_010.json"}} {"qa_id": "15fdf90babab44f98a5332a42ec8ffbb", "image_id": "L3-MazeLoop-test_7x7_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B82, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "B82", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "P63", "traversal_path": [{"identifier": "B82", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "K74", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "P36", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "F44", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "F68", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "O54", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "P63", "position": [1, 4], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_010.json"}} {"qa_id": "234fac89969946578ed614e413a02565", "image_id": "L3-MazeLoop-test_7x7_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O85, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 80th position in this traversal?", "start_object_id": "O85", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [80], "ordinal_strings": ["80th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K74", "traversal_path": [{"identifier": "O85", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "S71", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "M41", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "H15", "position": [5, 3], "step": 3, "ordinal_position": 4}, {"identifier": "Z12", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "B81", "position": [5, 5], "step": 5, "ordinal_position": 6}, {"identifier": "R21", "position": [4, 5], "step": 6, "ordinal_position": 7}, {"identifier": "L61", "position": [3, 5], "step": 7, "ordinal_position": 8}, {"identifier": "S00", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "R25", "position": [1, 5], "step": 9, "ordinal_position": 10}, {"identifier": "P63", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "O54", "position": [1, 3], "step": 11, "ordinal_position": 12}, {"identifier": "F68", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "F44", "position": [1, 1], "step": 13, "ordinal_position": 14}, {"identifier": "P36", "position": [2, 1], "step": 14, "ordinal_position": 15}, {"identifier": "K74", "position": [3, 1], "step": 15, "ordinal_position": 16}, {"identifier": "O85", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "S71", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "M41", "position": [5, 2], "step": 18, "ordinal_position": 19}, {"identifier": "H15", "position": [5, 3], "step": 19, "ordinal_position": 20}, {"identifier": "Z12", "position": [5, 4], "step": 20, "ordinal_position": 21}, {"identifier": "B81", "position": [5, 5], "step": 21, "ordinal_position": 22}, {"identifier": "R21", "position": [4, 5], "step": 22, "ordinal_position": 23}, {"identifier": "L61", "position": [3, 5], "step": 23, "ordinal_position": 24}, {"identifier": "S00", "position": [2, 5], "step": 24, "ordinal_position": 25}, {"identifier": "R25", "position": [1, 5], "step": 25, "ordinal_position": 26}, {"identifier": "P63", "position": [1, 4], "step": 26, "ordinal_position": 27}, {"identifier": "O54", "position": [1, 3], "step": 27, "ordinal_position": 28}, {"identifier": "F68", "position": [1, 2], "step": 28, "ordinal_position": 29}, {"identifier": "F44", "position": [1, 1], "step": 29, "ordinal_position": 30}, {"identifier": "P36", "position": [2, 1], "step": 30, "ordinal_position": 31}, {"identifier": "K74", "position": [3, 1], "step": 31, "ordinal_position": 32}, {"identifier": "O85", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "S71", "position": [5, 1], "step": 33, "ordinal_position": 34}, {"identifier": "M41", "position": [5, 2], "step": 34, "ordinal_position": 35}, {"identifier": "H15", "position": [5, 3], "step": 35, "ordinal_position": 36}, {"identifier": "Z12", "position": [5, 4], "step": 36, "ordinal_position": 37}, {"identifier": "B81", "position": [5, 5], "step": 37, "ordinal_position": 38}, {"identifier": "R21", "position": [4, 5], "step": 38, "ordinal_position": 39}, {"identifier": "L61", "position": [3, 5], "step": 39, "ordinal_position": 40}, {"identifier": "S00", "position": [2, 5], "step": 40, "ordinal_position": 41}, {"identifier": "R25", "position": [1, 5], "step": 41, "ordinal_position": 42}, {"identifier": "P63", "position": [1, 4], "step": 42, "ordinal_position": 43}, {"identifier": "O54", "position": [1, 3], "step": 43, "ordinal_position": 44}, {"identifier": "F68", "position": [1, 2], "step": 44, "ordinal_position": 45}, {"identifier": "F44", "position": [1, 1], "step": 45, "ordinal_position": 46}, {"identifier": "P36", "position": [2, 1], "step": 46, "ordinal_position": 47}, {"identifier": "K74", "position": [3, 1], "step": 47, "ordinal_position": 48}, {"identifier": "O85", "position": [4, 1], "step": 48, "ordinal_position": 49}, {"identifier": "S71", "position": [5, 1], "step": 49, "ordinal_position": 50}, {"identifier": "M41", "position": [5, 2], "step": 50, "ordinal_position": 51}, {"identifier": "H15", "position": [5, 3], "step": 51, "ordinal_position": 52}, {"identifier": "Z12", "position": [5, 4], "step": 52, "ordinal_position": 53}, {"identifier": "B81", "position": [5, 5], "step": 53, "ordinal_position": 54}, {"identifier": "R21", "position": [4, 5], "step": 54, "ordinal_position": 55}, {"identifier": "L61", "position": [3, 5], "step": 55, "ordinal_position": 56}, {"identifier": "S00", "position": [2, 5], "step": 56, "ordinal_position": 57}, {"identifier": "R25", "position": [1, 5], "step": 57, "ordinal_position": 58}, {"identifier": "P63", "position": [1, 4], "step": 58, "ordinal_position": 59}, {"identifier": "O54", "position": [1, 3], "step": 59, "ordinal_position": 60}, {"identifier": "F68", "position": [1, 2], "step": 60, "ordinal_position": 61}, {"identifier": "F44", "position": [1, 1], "step": 61, "ordinal_position": 62}, {"identifier": "P36", "position": [2, 1], "step": 62, "ordinal_position": 63}, {"identifier": "K74", "position": [3, 1], "step": 63, "ordinal_position": 64}, {"identifier": "O85", "position": [4, 1], "step": 64, "ordinal_position": 65}, {"identifier": "S71", "position": [5, 1], "step": 65, "ordinal_position": 66}, {"identifier": "M41", "position": [5, 2], "step": 66, "ordinal_position": 67}, {"identifier": "H15", "position": [5, 3], "step": 67, "ordinal_position": 68}, {"identifier": "Z12", "position": [5, 4], "step": 68, "ordinal_position": 69}, {"identifier": "B81", "position": [5, 5], "step": 69, "ordinal_position": 70}, {"identifier": "R21", "position": [4, 5], "step": 70, "ordinal_position": 71}, {"identifier": "L61", "position": [3, 5], "step": 71, "ordinal_position": 72}, {"identifier": "S00", "position": [2, 5], "step": 72, "ordinal_position": 73}, {"identifier": "R25", "position": [1, 5], "step": 73, "ordinal_position": 74}, {"identifier": "P63", "position": [1, 4], "step": 74, "ordinal_position": 75}, {"identifier": "O54", "position": [1, 3], "step": 75, "ordinal_position": 76}, {"identifier": "F68", "position": [1, 2], "step": 76, "ordinal_position": 77}, {"identifier": "F44", "position": [1, 1], "step": 77, "ordinal_position": 78}, {"identifier": "P36", "position": [2, 1], "step": 78, "ordinal_position": 79}, {"identifier": "K74", "position": [3, 1], "step": 79, "ordinal_position": 80}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 80, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_010.json"}} {"qa_id": "0c6ef2ca5d5c4e21a72a96d1a9fa671a", "image_id": "L3-MazeLoop-test_7x7_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z12, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 61st position in this traversal?", "start_object_id": "Z12", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [61], "ordinal_strings": ["61st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "O85", "traversal_path": [{"identifier": "Z12", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "B81", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "R21", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "L61", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "S00", "position": [2, 5], "step": 4, "ordinal_position": 5}, {"identifier": "R25", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "P63", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "O54", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "F68", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "F44", "position": [1, 1], "step": 9, "ordinal_position": 10}, {"identifier": "P36", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "K74", "position": [3, 1], "step": 11, "ordinal_position": 12}, {"identifier": "O85", "position": [4, 1], "step": 12, "ordinal_position": 13}, {"identifier": "S71", "position": [5, 1], "step": 13, "ordinal_position": 14}, {"identifier": "M41", "position": [5, 2], "step": 14, "ordinal_position": 15}, {"identifier": "H15", "position": [5, 3], "step": 15, "ordinal_position": 16}, {"identifier": "Z12", "position": [5, 4], "step": 16, "ordinal_position": 17}, {"identifier": "B81", "position": [5, 5], "step": 17, "ordinal_position": 18}, {"identifier": "R21", "position": [4, 5], "step": 18, "ordinal_position": 19}, {"identifier": "L61", "position": [3, 5], "step": 19, "ordinal_position": 20}, {"identifier": "S00", "position": [2, 5], "step": 20, "ordinal_position": 21}, {"identifier": "R25", "position": [1, 5], "step": 21, "ordinal_position": 22}, {"identifier": "P63", "position": [1, 4], "step": 22, "ordinal_position": 23}, {"identifier": "O54", "position": [1, 3], "step": 23, "ordinal_position": 24}, {"identifier": "F68", "position": [1, 2], "step": 24, "ordinal_position": 25}, {"identifier": "F44", "position": [1, 1], "step": 25, "ordinal_position": 26}, {"identifier": "P36", "position": [2, 1], "step": 26, "ordinal_position": 27}, {"identifier": "K74", "position": [3, 1], "step": 27, "ordinal_position": 28}, {"identifier": "O85", "position": [4, 1], "step": 28, "ordinal_position": 29}, {"identifier": "S71", "position": [5, 1], "step": 29, "ordinal_position": 30}, {"identifier": "M41", "position": [5, 2], "step": 30, "ordinal_position": 31}, {"identifier": "H15", "position": [5, 3], "step": 31, "ordinal_position": 32}, {"identifier": "Z12", "position": [5, 4], "step": 32, "ordinal_position": 33}, {"identifier": "B81", "position": [5, 5], "step": 33, "ordinal_position": 34}, {"identifier": "R21", "position": [4, 5], "step": 34, "ordinal_position": 35}, {"identifier": "L61", "position": [3, 5], "step": 35, "ordinal_position": 36}, {"identifier": "S00", "position": [2, 5], "step": 36, "ordinal_position": 37}, {"identifier": "R25", "position": [1, 5], "step": 37, "ordinal_position": 38}, {"identifier": "P63", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "O54", "position": [1, 3], "step": 39, "ordinal_position": 40}, {"identifier": "F68", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "F44", "position": [1, 1], "step": 41, "ordinal_position": 42}, {"identifier": "P36", "position": [2, 1], "step": 42, "ordinal_position": 43}, {"identifier": "K74", "position": [3, 1], "step": 43, "ordinal_position": 44}, {"identifier": "O85", "position": [4, 1], "step": 44, "ordinal_position": 45}, {"identifier": "S71", "position": [5, 1], "step": 45, "ordinal_position": 46}, {"identifier": "M41", "position": [5, 2], "step": 46, "ordinal_position": 47}, {"identifier": "H15", "position": [5, 3], "step": 47, "ordinal_position": 48}, {"identifier": "Z12", "position": [5, 4], "step": 48, "ordinal_position": 49}, {"identifier": "B81", "position": [5, 5], "step": 49, "ordinal_position": 50}, {"identifier": "R21", "position": [4, 5], "step": 50, "ordinal_position": 51}, {"identifier": "L61", "position": [3, 5], "step": 51, "ordinal_position": 52}, {"identifier": "S00", "position": [2, 5], "step": 52, "ordinal_position": 53}, {"identifier": "R25", "position": [1, 5], "step": 53, "ordinal_position": 54}, {"identifier": "P63", "position": [1, 4], "step": 54, "ordinal_position": 55}, {"identifier": "O54", "position": [1, 3], "step": 55, "ordinal_position": 56}, {"identifier": "F68", "position": [1, 2], "step": 56, "ordinal_position": 57}, {"identifier": "F44", "position": [1, 1], "step": 57, "ordinal_position": 58}, {"identifier": "P36", "position": [2, 1], "step": 58, "ordinal_position": 59}, {"identifier": "K74", "position": [3, 1], "step": 59, "ordinal_position": 60}, {"identifier": "O85", "position": [4, 1], "step": 60, "ordinal_position": 61}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 61, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_010.json"}} {"qa_id": "18882020d9f3418197d451d02176e656", "image_id": "L3-MazeLoop-test_7x7_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O85, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 36th position in this traversal?", "start_object_id": "O85", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [36], "ordinal_strings": ["36th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "H15", "traversal_path": [{"identifier": "O85", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "S71", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "M41", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "H15", "position": [5, 3], "step": 3, "ordinal_position": 4}, {"identifier": "Z12", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "B81", "position": [5, 5], "step": 5, "ordinal_position": 6}, {"identifier": "R21", "position": [4, 5], "step": 6, "ordinal_position": 7}, {"identifier": "L61", "position": [3, 5], "step": 7, "ordinal_position": 8}, {"identifier": "S00", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "R25", "position": [1, 5], "step": 9, "ordinal_position": 10}, {"identifier": "P63", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "O54", "position": [1, 3], "step": 11, "ordinal_position": 12}, {"identifier": "F68", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "F44", "position": [1, 1], "step": 13, "ordinal_position": 14}, {"identifier": "P36", "position": [2, 1], "step": 14, "ordinal_position": 15}, {"identifier": "K74", "position": [3, 1], "step": 15, "ordinal_position": 16}, {"identifier": "O85", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "S71", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "M41", "position": [5, 2], "step": 18, "ordinal_position": 19}, {"identifier": "H15", "position": [5, 3], "step": 19, "ordinal_position": 20}, {"identifier": "Z12", "position": [5, 4], "step": 20, "ordinal_position": 21}, {"identifier": "B81", "position": [5, 5], "step": 21, "ordinal_position": 22}, {"identifier": "R21", "position": [4, 5], "step": 22, "ordinal_position": 23}, {"identifier": "L61", "position": [3, 5], "step": 23, "ordinal_position": 24}, {"identifier": "S00", "position": [2, 5], "step": 24, "ordinal_position": 25}, {"identifier": "R25", "position": [1, 5], "step": 25, "ordinal_position": 26}, {"identifier": "P63", "position": [1, 4], "step": 26, "ordinal_position": 27}, {"identifier": "O54", "position": [1, 3], "step": 27, "ordinal_position": 28}, {"identifier": "F68", "position": [1, 2], "step": 28, "ordinal_position": 29}, {"identifier": "F44", "position": [1, 1], "step": 29, "ordinal_position": 30}, {"identifier": "P36", "position": [2, 1], "step": 30, "ordinal_position": 31}, {"identifier": "K74", "position": [3, 1], "step": 31, "ordinal_position": 32}, {"identifier": "O85", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "S71", "position": [5, 1], "step": 33, "ordinal_position": 34}, {"identifier": "M41", "position": [5, 2], "step": 34, "ordinal_position": 35}, {"identifier": "H15", "position": [5, 3], "step": 35, "ordinal_position": 36}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 36, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_010.json"}} {"qa_id": "9df0e29c53094a22973dfb26e1ea7919", "image_id": "L3-MazeLoop-test_7x7_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O54, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 61st position in this traversal?", "start_object_id": "O54", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [61], "ordinal_strings": ["61st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "L61", "traversal_path": [{"identifier": "O54", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "F68", "position": [1, 2], "step": 1, "ordinal_position": 2}, {"identifier": "F44", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "P36", "position": [2, 1], "step": 3, "ordinal_position": 4}, {"identifier": "K74", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "O85", "position": [4, 1], "step": 5, "ordinal_position": 6}, {"identifier": "S71", "position": [5, 1], "step": 6, "ordinal_position": 7}, {"identifier": "M41", "position": [5, 2], "step": 7, "ordinal_position": 8}, {"identifier": "H15", "position": [5, 3], "step": 8, "ordinal_position": 9}, {"identifier": "Z12", "position": [5, 4], "step": 9, "ordinal_position": 10}, {"identifier": "B81", "position": [5, 5], "step": 10, "ordinal_position": 11}, {"identifier": "R21", "position": [4, 5], "step": 11, "ordinal_position": 12}, {"identifier": "L61", "position": [3, 5], "step": 12, "ordinal_position": 13}, {"identifier": "S00", "position": [2, 5], "step": 13, "ordinal_position": 14}, {"identifier": "R25", "position": [1, 5], "step": 14, "ordinal_position": 15}, {"identifier": "P63", "position": [1, 4], "step": 15, "ordinal_position": 16}, {"identifier": "O54", "position": [1, 3], "step": 16, "ordinal_position": 17}, {"identifier": "F68", "position": [1, 2], "step": 17, "ordinal_position": 18}, {"identifier": "F44", "position": [1, 1], "step": 18, "ordinal_position": 19}, {"identifier": "P36", "position": [2, 1], "step": 19, "ordinal_position": 20}, {"identifier": "K74", "position": [3, 1], "step": 20, "ordinal_position": 21}, {"identifier": "O85", "position": [4, 1], "step": 21, "ordinal_position": 22}, {"identifier": "S71", "position": [5, 1], "step": 22, "ordinal_position": 23}, {"identifier": "M41", "position": [5, 2], "step": 23, "ordinal_position": 24}, {"identifier": "H15", "position": [5, 3], "step": 24, "ordinal_position": 25}, {"identifier": "Z12", "position": [5, 4], "step": 25, "ordinal_position": 26}, {"identifier": "B81", "position": [5, 5], "step": 26, "ordinal_position": 27}, {"identifier": "R21", "position": [4, 5], "step": 27, "ordinal_position": 28}, {"identifier": "L61", "position": [3, 5], "step": 28, "ordinal_position": 29}, {"identifier": "S00", "position": [2, 5], "step": 29, "ordinal_position": 30}, {"identifier": "R25", "position": [1, 5], "step": 30, "ordinal_position": 31}, {"identifier": "P63", "position": [1, 4], "step": 31, "ordinal_position": 32}, {"identifier": "O54", "position": [1, 3], "step": 32, "ordinal_position": 33}, {"identifier": "F68", "position": [1, 2], "step": 33, "ordinal_position": 34}, {"identifier": "F44", "position": [1, 1], "step": 34, "ordinal_position": 35}, {"identifier": "P36", "position": [2, 1], "step": 35, "ordinal_position": 36}, {"identifier": "K74", "position": [3, 1], "step": 36, "ordinal_position": 37}, {"identifier": "O85", "position": [4, 1], "step": 37, "ordinal_position": 38}, {"identifier": "S71", "position": [5, 1], "step": 38, "ordinal_position": 39}, {"identifier": "M41", "position": [5, 2], "step": 39, "ordinal_position": 40}, {"identifier": "H15", "position": [5, 3], "step": 40, "ordinal_position": 41}, {"identifier": "Z12", "position": [5, 4], "step": 41, "ordinal_position": 42}, {"identifier": "B81", "position": [5, 5], "step": 42, "ordinal_position": 43}, {"identifier": "R21", "position": [4, 5], "step": 43, "ordinal_position": 44}, {"identifier": "L61", "position": [3, 5], "step": 44, "ordinal_position": 45}, {"identifier": "S00", "position": [2, 5], "step": 45, "ordinal_position": 46}, {"identifier": "R25", "position": [1, 5], "step": 46, "ordinal_position": 47}, {"identifier": "P63", "position": [1, 4], "step": 47, "ordinal_position": 48}, {"identifier": "O54", "position": [1, 3], "step": 48, "ordinal_position": 49}, {"identifier": "F68", "position": [1, 2], "step": 49, "ordinal_position": 50}, {"identifier": "F44", "position": [1, 1], "step": 50, "ordinal_position": 51}, {"identifier": "P36", "position": [2, 1], "step": 51, "ordinal_position": 52}, {"identifier": "K74", "position": [3, 1], "step": 52, "ordinal_position": 53}, {"identifier": "O85", "position": [4, 1], "step": 53, "ordinal_position": 54}, {"identifier": "S71", "position": [5, 1], "step": 54, "ordinal_position": 55}, {"identifier": "M41", "position": [5, 2], "step": 55, "ordinal_position": 56}, {"identifier": "H15", "position": [5, 3], "step": 56, "ordinal_position": 57}, {"identifier": "Z12", "position": [5, 4], "step": 57, "ordinal_position": 58}, {"identifier": "B81", "position": [5, 5], "step": 58, "ordinal_position": 59}, {"identifier": "R21", "position": [4, 5], "step": 59, "ordinal_position": 60}, {"identifier": "L61", "position": [3, 5], "step": 60, "ordinal_position": 61}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 61, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_010.json"}} {"qa_id": "732bd0653fbf42688f1416b213db9b5a", "image_id": "L3-MazeLoop-test_7x7_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K74, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 91st position in this traversal?", "start_object_id": "K74", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [91], "ordinal_strings": ["91st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "B81", "traversal_path": [{"identifier": "K74", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "B82", "position": [3, 2], "step": 1, "ordinal_position": 2}, {"identifier": "Y70", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "J80", "position": [2, 3], "step": 3, "ordinal_position": 4}, {"identifier": "O54", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "P63", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "R25", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "S00", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "L61", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "R21", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "B81", "position": [5, 5], "step": 10, "ordinal_position": 11}, {"identifier": "Z12", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "H15", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "M41", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "S71", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "O85", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "K74", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "P36", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "F44", "position": [1, 1], "step": 18, "ordinal_position": 19}, {"identifier": "F68", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "O54", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "P63", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "R25", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "S00", "position": [2, 5], "step": 23, "ordinal_position": 24}, {"identifier": "L61", "position": [3, 5], "step": 24, "ordinal_position": 25}, {"identifier": "R21", "position": [4, 5], "step": 25, "ordinal_position": 26}, {"identifier": "B81", "position": [5, 5], "step": 26, "ordinal_position": 27}, {"identifier": "Z12", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "H15", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "M41", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "S71", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "O85", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "K74", "position": [3, 1], "step": 32, "ordinal_position": 33}, {"identifier": "P36", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "F44", "position": [1, 1], "step": 34, "ordinal_position": 35}, {"identifier": "F68", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "O54", "position": [1, 3], "step": 36, "ordinal_position": 37}, {"identifier": "P63", "position": [1, 4], "step": 37, "ordinal_position": 38}, {"identifier": "R25", "position": [1, 5], "step": 38, "ordinal_position": 39}, {"identifier": "S00", "position": [2, 5], "step": 39, "ordinal_position": 40}, {"identifier": "L61", "position": [3, 5], "step": 40, "ordinal_position": 41}, {"identifier": "R21", "position": [4, 5], "step": 41, "ordinal_position": 42}, {"identifier": "B81", "position": [5, 5], "step": 42, "ordinal_position": 43}, {"identifier": "Z12", "position": [5, 4], "step": 43, "ordinal_position": 44}, {"identifier": "H15", "position": [5, 3], "step": 44, "ordinal_position": 45}, {"identifier": "M41", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "S71", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "O85", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "K74", "position": [3, 1], "step": 48, "ordinal_position": 49}, {"identifier": "P36", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "F44", "position": [1, 1], "step": 50, "ordinal_position": 51}, {"identifier": "F68", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "O54", "position": [1, 3], "step": 52, "ordinal_position": 53}, {"identifier": "P63", "position": [1, 4], "step": 53, "ordinal_position": 54}, {"identifier": "R25", "position": [1, 5], "step": 54, "ordinal_position": 55}, {"identifier": "S00", "position": [2, 5], "step": 55, "ordinal_position": 56}, {"identifier": "L61", "position": [3, 5], "step": 56, "ordinal_position": 57}, {"identifier": "R21", "position": [4, 5], "step": 57, "ordinal_position": 58}, {"identifier": "B81", "position": [5, 5], "step": 58, "ordinal_position": 59}, {"identifier": "Z12", "position": [5, 4], "step": 59, "ordinal_position": 60}, {"identifier": "H15", "position": [5, 3], "step": 60, "ordinal_position": 61}, {"identifier": "M41", "position": [5, 2], "step": 61, "ordinal_position": 62}, {"identifier": "S71", "position": [5, 1], "step": 62, "ordinal_position": 63}, {"identifier": "O85", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "K74", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "P36", "position": [2, 1], "step": 65, "ordinal_position": 66}, {"identifier": "F44", "position": [1, 1], "step": 66, "ordinal_position": 67}, {"identifier": "F68", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "O54", "position": [1, 3], "step": 68, "ordinal_position": 69}, {"identifier": "P63", "position": [1, 4], "step": 69, "ordinal_position": 70}, {"identifier": "R25", "position": [1, 5], "step": 70, "ordinal_position": 71}, {"identifier": "S00", "position": [2, 5], "step": 71, "ordinal_position": 72}, {"identifier": "L61", "position": [3, 5], "step": 72, "ordinal_position": 73}, {"identifier": "R21", "position": [4, 5], "step": 73, "ordinal_position": 74}, {"identifier": "B81", "position": [5, 5], "step": 74, "ordinal_position": 75}, {"identifier": "Z12", "position": [5, 4], "step": 75, "ordinal_position": 76}, {"identifier": "H15", "position": [5, 3], "step": 76, "ordinal_position": 77}, {"identifier": "M41", "position": [5, 2], "step": 77, "ordinal_position": 78}, {"identifier": "S71", "position": [5, 1], "step": 78, "ordinal_position": 79}, {"identifier": "O85", "position": [4, 1], "step": 79, "ordinal_position": 80}, {"identifier": "K74", "position": [3, 1], "step": 80, "ordinal_position": 81}, {"identifier": "P36", "position": [2, 1], "step": 81, "ordinal_position": 82}, {"identifier": "F44", "position": [1, 1], "step": 82, "ordinal_position": 83}, {"identifier": "F68", "position": [1, 2], "step": 83, "ordinal_position": 84}, {"identifier": "O54", "position": [1, 3], "step": 84, "ordinal_position": 85}, {"identifier": "P63", "position": [1, 4], "step": 85, "ordinal_position": 86}, {"identifier": "R25", "position": [1, 5], "step": 86, "ordinal_position": 87}, {"identifier": "S00", "position": [2, 5], "step": 87, "ordinal_position": 88}, {"identifier": "L61", "position": [3, 5], "step": 88, "ordinal_position": 89}, {"identifier": "R21", "position": [4, 5], "step": 89, "ordinal_position": 90}, {"identifier": "B81", "position": [5, 5], "step": 90, "ordinal_position": 91}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 91, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_010.json"}} {"qa_id": "6f3a37ee5c784651b44cfec47dddabe2", "image_id": "L3-MazeLoop-test_7x7_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S71, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 148th position in this traversal?", "start_object_id": "S71", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [148], "ordinal_strings": ["148th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Z12", "traversal_path": [{"identifier": "S71", "position": [5, 1], "step": 0, "ordinal_position": 1}, {"identifier": "M41", "position": [5, 2], "step": 1, "ordinal_position": 2}, {"identifier": "H15", "position": [5, 3], "step": 2, "ordinal_position": 3}, {"identifier": "Z12", "position": [5, 4], "step": 3, "ordinal_position": 4}, {"identifier": "B81", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "R21", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "L61", "position": [3, 5], "step": 6, "ordinal_position": 7}, {"identifier": "S00", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "R25", "position": [1, 5], "step": 8, "ordinal_position": 9}, {"identifier": "P63", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "O54", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "F68", "position": [1, 2], "step": 11, "ordinal_position": 12}, {"identifier": "F44", "position": [1, 1], "step": 12, "ordinal_position": 13}, {"identifier": "P36", "position": [2, 1], "step": 13, "ordinal_position": 14}, {"identifier": "K74", "position": [3, 1], "step": 14, "ordinal_position": 15}, {"identifier": "O85", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "S71", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "M41", "position": [5, 2], "step": 17, "ordinal_position": 18}, {"identifier": "H15", "position": [5, 3], "step": 18, "ordinal_position": 19}, {"identifier": "Z12", "position": [5, 4], "step": 19, "ordinal_position": 20}, {"identifier": "B81", "position": [5, 5], "step": 20, "ordinal_position": 21}, {"identifier": "R21", "position": [4, 5], "step": 21, "ordinal_position": 22}, {"identifier": "L61", "position": [3, 5], "step": 22, "ordinal_position": 23}, {"identifier": "S00", "position": [2, 5], "step": 23, "ordinal_position": 24}, {"identifier": "R25", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "P63", "position": [1, 4], "step": 25, "ordinal_position": 26}, {"identifier": "O54", "position": [1, 3], "step": 26, "ordinal_position": 27}, {"identifier": "F68", "position": [1, 2], "step": 27, "ordinal_position": 28}, {"identifier": "F44", "position": [1, 1], "step": 28, "ordinal_position": 29}, {"identifier": "P36", "position": [2, 1], "step": 29, "ordinal_position": 30}, {"identifier": "K74", "position": [3, 1], "step": 30, "ordinal_position": 31}, {"identifier": "O85", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "S71", "position": [5, 1], "step": 32, "ordinal_position": 33}, {"identifier": "M41", "position": [5, 2], "step": 33, "ordinal_position": 34}, {"identifier": "H15", "position": [5, 3], "step": 34, "ordinal_position": 35}, {"identifier": "Z12", "position": [5, 4], "step": 35, "ordinal_position": 36}, {"identifier": "B81", "position": [5, 5], "step": 36, "ordinal_position": 37}, {"identifier": "R21", "position": [4, 5], "step": 37, "ordinal_position": 38}, {"identifier": "L61", "position": [3, 5], "step": 38, "ordinal_position": 39}, {"identifier": "S00", "position": [2, 5], "step": 39, "ordinal_position": 40}, {"identifier": "R25", "position": [1, 5], "step": 40, "ordinal_position": 41}, {"identifier": "P63", "position": [1, 4], "step": 41, "ordinal_position": 42}, {"identifier": "O54", "position": [1, 3], "step": 42, "ordinal_position": 43}, {"identifier": "F68", "position": [1, 2], "step": 43, "ordinal_position": 44}, {"identifier": "F44", "position": [1, 1], "step": 44, "ordinal_position": 45}, {"identifier": "P36", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "K74", "position": [3, 1], "step": 46, "ordinal_position": 47}, {"identifier": "O85", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "S71", "position": [5, 1], "step": 48, "ordinal_position": 49}, {"identifier": "M41", "position": [5, 2], "step": 49, "ordinal_position": 50}, {"identifier": "H15", "position": [5, 3], "step": 50, "ordinal_position": 51}, {"identifier": "Z12", "position": [5, 4], "step": 51, "ordinal_position": 52}, {"identifier": "B81", "position": [5, 5], "step": 52, "ordinal_position": 53}, {"identifier": "R21", "position": [4, 5], "step": 53, "ordinal_position": 54}, {"identifier": "L61", "position": [3, 5], "step": 54, "ordinal_position": 55}, {"identifier": "S00", "position": [2, 5], "step": 55, "ordinal_position": 56}, {"identifier": "R25", "position": [1, 5], "step": 56, "ordinal_position": 57}, {"identifier": "P63", "position": [1, 4], "step": 57, "ordinal_position": 58}, {"identifier": "O54", "position": [1, 3], "step": 58, "ordinal_position": 59}, {"identifier": "F68", "position": [1, 2], "step": 59, "ordinal_position": 60}, {"identifier": "F44", "position": [1, 1], "step": 60, "ordinal_position": 61}, {"identifier": "P36", "position": [2, 1], "step": 61, "ordinal_position": 62}, {"identifier": "K74", "position": [3, 1], "step": 62, "ordinal_position": 63}, {"identifier": "O85", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "S71", "position": [5, 1], "step": 64, "ordinal_position": 65}, {"identifier": "M41", "position": [5, 2], "step": 65, "ordinal_position": 66}, {"identifier": "H15", "position": [5, 3], "step": 66, "ordinal_position": 67}, {"identifier": "Z12", "position": [5, 4], "step": 67, "ordinal_position": 68}, {"identifier": "B81", "position": [5, 5], "step": 68, "ordinal_position": 69}, {"identifier": "R21", "position": [4, 5], "step": 69, "ordinal_position": 70}, {"identifier": "L61", "position": [3, 5], "step": 70, "ordinal_position": 71}, {"identifier": "S00", "position": [2, 5], "step": 71, "ordinal_position": 72}, {"identifier": "R25", "position": [1, 5], "step": 72, "ordinal_position": 73}, {"identifier": "P63", "position": [1, 4], "step": 73, "ordinal_position": 74}, {"identifier": "O54", "position": [1, 3], "step": 74, "ordinal_position": 75}, {"identifier": "F68", "position": [1, 2], "step": 75, "ordinal_position": 76}, {"identifier": "F44", "position": [1, 1], "step": 76, "ordinal_position": 77}, {"identifier": "P36", "position": [2, 1], "step": 77, "ordinal_position": 78}, {"identifier": "K74", "position": [3, 1], "step": 78, "ordinal_position": 79}, {"identifier": "O85", "position": [4, 1], "step": 79, "ordinal_position": 80}, {"identifier": "S71", "position": [5, 1], "step": 80, "ordinal_position": 81}, {"identifier": "M41", "position": [5, 2], "step": 81, "ordinal_position": 82}, {"identifier": "H15", "position": [5, 3], "step": 82, "ordinal_position": 83}, {"identifier": "Z12", "position": [5, 4], "step": 83, "ordinal_position": 84}, {"identifier": "B81", "position": [5, 5], "step": 84, "ordinal_position": 85}, {"identifier": "R21", "position": [4, 5], "step": 85, "ordinal_position": 86}, {"identifier": "L61", "position": [3, 5], "step": 86, "ordinal_position": 87}, {"identifier": "S00", "position": [2, 5], "step": 87, "ordinal_position": 88}, {"identifier": "R25", "position": [1, 5], "step": 88, "ordinal_position": 89}, {"identifier": "P63", "position": [1, 4], "step": 89, "ordinal_position": 90}, {"identifier": "O54", "position": [1, 3], "step": 90, "ordinal_position": 91}, {"identifier": "F68", "position": [1, 2], "step": 91, "ordinal_position": 92}, {"identifier": "F44", "position": [1, 1], "step": 92, "ordinal_position": 93}, {"identifier": "P36", "position": [2, 1], "step": 93, "ordinal_position": 94}, {"identifier": "K74", "position": [3, 1], "step": 94, "ordinal_position": 95}, {"identifier": "O85", "position": [4, 1], "step": 95, "ordinal_position": 96}, {"identifier": "S71", "position": [5, 1], "step": 96, "ordinal_position": 97}, {"identifier": "M41", "position": [5, 2], "step": 97, "ordinal_position": 98}, {"identifier": "H15", "position": [5, 3], "step": 98, "ordinal_position": 99}, {"identifier": "Z12", "position": [5, 4], "step": 99, "ordinal_position": 100}, {"identifier": "B81", "position": [5, 5], "step": 100, "ordinal_position": 101}, {"identifier": "R21", "position": [4, 5], "step": 101, "ordinal_position": 102}, {"identifier": "L61", "position": [3, 5], "step": 102, "ordinal_position": 103}, {"identifier": "S00", "position": [2, 5], "step": 103, "ordinal_position": 104}, {"identifier": "R25", "position": [1, 5], "step": 104, "ordinal_position": 105}, {"identifier": "P63", "position": [1, 4], "step": 105, "ordinal_position": 106}, {"identifier": "O54", "position": [1, 3], "step": 106, "ordinal_position": 107}, {"identifier": "F68", "position": [1, 2], "step": 107, "ordinal_position": 108}, {"identifier": "F44", "position": [1, 1], "step": 108, "ordinal_position": 109}, {"identifier": "P36", "position": [2, 1], "step": 109, "ordinal_position": 110}, {"identifier": "K74", "position": [3, 1], "step": 110, "ordinal_position": 111}, {"identifier": "O85", "position": [4, 1], "step": 111, "ordinal_position": 112}, {"identifier": "S71", "position": [5, 1], "step": 112, "ordinal_position": 113}, {"identifier": "M41", "position": [5, 2], "step": 113, "ordinal_position": 114}, {"identifier": "H15", "position": [5, 3], "step": 114, "ordinal_position": 115}, {"identifier": "Z12", "position": [5, 4], "step": 115, "ordinal_position": 116}, {"identifier": "B81", "position": [5, 5], "step": 116, "ordinal_position": 117}, {"identifier": "R21", "position": [4, 5], "step": 117, "ordinal_position": 118}, {"identifier": "L61", "position": [3, 5], "step": 118, "ordinal_position": 119}, {"identifier": "S00", "position": [2, 5], "step": 119, "ordinal_position": 120}, {"identifier": "R25", "position": [1, 5], "step": 120, "ordinal_position": 121}, {"identifier": "P63", "position": [1, 4], "step": 121, "ordinal_position": 122}, {"identifier": "O54", "position": [1, 3], "step": 122, "ordinal_position": 123}, {"identifier": "F68", "position": [1, 2], "step": 123, "ordinal_position": 124}, {"identifier": "F44", "position": [1, 1], "step": 124, "ordinal_position": 125}, {"identifier": "P36", "position": [2, 1], "step": 125, "ordinal_position": 126}, {"identifier": "K74", "position": [3, 1], "step": 126, "ordinal_position": 127}, {"identifier": "O85", "position": [4, 1], "step": 127, "ordinal_position": 128}, {"identifier": "S71", "position": [5, 1], "step": 128, "ordinal_position": 129}, {"identifier": "M41", "position": [5, 2], "step": 129, "ordinal_position": 130}, {"identifier": "H15", "position": [5, 3], "step": 130, "ordinal_position": 131}, {"identifier": "Z12", "position": [5, 4], "step": 131, "ordinal_position": 132}, {"identifier": "B81", "position": [5, 5], "step": 132, "ordinal_position": 133}, {"identifier": "R21", "position": [4, 5], "step": 133, "ordinal_position": 134}, {"identifier": "L61", "position": [3, 5], "step": 134, "ordinal_position": 135}, {"identifier": "S00", "position": [2, 5], "step": 135, "ordinal_position": 136}, {"identifier": "R25", "position": [1, 5], "step": 136, "ordinal_position": 137}, {"identifier": "P63", "position": [1, 4], "step": 137, "ordinal_position": 138}, {"identifier": "O54", "position": [1, 3], "step": 138, "ordinal_position": 139}, {"identifier": "F68", "position": [1, 2], "step": 139, "ordinal_position": 140}, {"identifier": "F44", "position": [1, 1], "step": 140, "ordinal_position": 141}, {"identifier": "P36", "position": [2, 1], "step": 141, "ordinal_position": 142}, {"identifier": "K74", "position": [3, 1], "step": 142, "ordinal_position": 143}, {"identifier": "O85", "position": [4, 1], "step": 143, "ordinal_position": 144}, {"identifier": "S71", "position": [5, 1], "step": 144, "ordinal_position": 145}, {"identifier": "M41", "position": [5, 2], "step": 145, "ordinal_position": 146}, {"identifier": "H15", "position": [5, 3], "step": 146, "ordinal_position": 147}, {"identifier": "Z12", "position": [5, 4], "step": 147, "ordinal_position": 148}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 148, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_010.json"}} {"qa_id": "6ad424122a3540488617262686f25a68", "image_id": "L3-MazeLoop-test_7x7_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B81, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 273rd position in this traversal?", "start_object_id": "B81", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [273], "ordinal_strings": ["273rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "B81", "traversal_path": [{"identifier": "B81", "position": [5, 5], "step": 0, "ordinal_position": 1}, {"identifier": "R21", "position": [4, 5], "step": 1, "ordinal_position": 2}, {"identifier": "L61", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "S00", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "R25", "position": [1, 5], "step": 4, "ordinal_position": 5}, {"identifier": "P63", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "O54", "position": [1, 3], "step": 6, "ordinal_position": 7}, {"identifier": "F68", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "F44", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "P36", "position": [2, 1], "step": 9, "ordinal_position": 10}, {"identifier": "K74", "position": [3, 1], "step": 10, "ordinal_position": 11}, {"identifier": "O85", "position": [4, 1], "step": 11, "ordinal_position": 12}, {"identifier": "S71", "position": [5, 1], "step": 12, "ordinal_position": 13}, {"identifier": "M41", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "H15", "position": [5, 3], "step": 14, "ordinal_position": 15}, {"identifier": "Z12", "position": [5, 4], "step": 15, "ordinal_position": 16}, {"identifier": "B81", "position": [5, 5], "step": 16, "ordinal_position": 17}, {"identifier": "R21", "position": [4, 5], "step": 17, "ordinal_position": 18}, {"identifier": "L61", "position": [3, 5], "step": 18, "ordinal_position": 19}, {"identifier": "S00", "position": [2, 5], "step": 19, "ordinal_position": 20}, {"identifier": "R25", "position": [1, 5], "step": 20, "ordinal_position": 21}, {"identifier": "P63", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "O54", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "F68", "position": [1, 2], "step": 23, "ordinal_position": 24}, {"identifier": "F44", "position": [1, 1], "step": 24, "ordinal_position": 25}, {"identifier": "P36", "position": [2, 1], "step": 25, "ordinal_position": 26}, {"identifier": "K74", "position": [3, 1], "step": 26, "ordinal_position": 27}, {"identifier": "O85", "position": [4, 1], "step": 27, "ordinal_position": 28}, {"identifier": "S71", "position": [5, 1], "step": 28, "ordinal_position": 29}, {"identifier": "M41", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "H15", "position": [5, 3], "step": 30, "ordinal_position": 31}, {"identifier": "Z12", "position": [5, 4], "step": 31, "ordinal_position": 32}, {"identifier": "B81", "position": [5, 5], "step": 32, "ordinal_position": 33}, {"identifier": "R21", "position": [4, 5], "step": 33, "ordinal_position": 34}, {"identifier": "L61", "position": [3, 5], "step": 34, "ordinal_position": 35}, {"identifier": "S00", "position": [2, 5], "step": 35, "ordinal_position": 36}, {"identifier": "R25", "position": [1, 5], "step": 36, "ordinal_position": 37}, {"identifier": "P63", "position": [1, 4], "step": 37, "ordinal_position": 38}, {"identifier": "O54", "position": [1, 3], "step": 38, "ordinal_position": 39}, {"identifier": "F68", "position": [1, 2], "step": 39, "ordinal_position": 40}, {"identifier": "F44", "position": [1, 1], "step": 40, "ordinal_position": 41}, {"identifier": "P36", "position": [2, 1], "step": 41, "ordinal_position": 42}, {"identifier": "K74", "position": [3, 1], "step": 42, "ordinal_position": 43}, {"identifier": "O85", "position": [4, 1], "step": 43, "ordinal_position": 44}, {"identifier": "S71", "position": [5, 1], "step": 44, "ordinal_position": 45}, {"identifier": "M41", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "H15", "position": [5, 3], "step": 46, "ordinal_position": 47}, {"identifier": "Z12", "position": [5, 4], "step": 47, "ordinal_position": 48}, {"identifier": "B81", "position": [5, 5], "step": 48, "ordinal_position": 49}, {"identifier": "R21", "position": [4, 5], "step": 49, "ordinal_position": 50}, {"identifier": "L61", "position": [3, 5], "step": 50, "ordinal_position": 51}, {"identifier": "S00", "position": [2, 5], "step": 51, "ordinal_position": 52}, {"identifier": "R25", "position": [1, 5], "step": 52, "ordinal_position": 53}, {"identifier": "P63", "position": [1, 4], "step": 53, "ordinal_position": 54}, {"identifier": "O54", "position": [1, 3], "step": 54, "ordinal_position": 55}, {"identifier": "F68", "position": [1, 2], "step": 55, "ordinal_position": 56}, {"identifier": "F44", "position": [1, 1], "step": 56, "ordinal_position": 57}, {"identifier": "P36", "position": [2, 1], "step": 57, "ordinal_position": 58}, {"identifier": "K74", "position": [3, 1], "step": 58, "ordinal_position": 59}, {"identifier": "O85", "position": [4, 1], "step": 59, "ordinal_position": 60}, {"identifier": "S71", "position": [5, 1], "step": 60, "ordinal_position": 61}, {"identifier": "M41", "position": [5, 2], "step": 61, "ordinal_position": 62}, {"identifier": "H15", "position": [5, 3], "step": 62, "ordinal_position": 63}, {"identifier": "Z12", "position": [5, 4], "step": 63, "ordinal_position": 64}, {"identifier": "B81", "position": [5, 5], "step": 64, "ordinal_position": 65}, {"identifier": "R21", "position": [4, 5], "step": 65, "ordinal_position": 66}, {"identifier": "L61", "position": [3, 5], "step": 66, "ordinal_position": 67}, {"identifier": "S00", "position": [2, 5], "step": 67, "ordinal_position": 68}, {"identifier": "R25", "position": [1, 5], "step": 68, "ordinal_position": 69}, {"identifier": "P63", "position": [1, 4], "step": 69, "ordinal_position": 70}, {"identifier": "O54", "position": [1, 3], "step": 70, "ordinal_position": 71}, {"identifier": "F68", "position": [1, 2], "step": 71, "ordinal_position": 72}, {"identifier": "F44", "position": [1, 1], "step": 72, "ordinal_position": 73}, {"identifier": "P36", "position": [2, 1], "step": 73, "ordinal_position": 74}, {"identifier": "K74", "position": [3, 1], "step": 74, "ordinal_position": 75}, {"identifier": "O85", "position": [4, 1], "step": 75, "ordinal_position": 76}, {"identifier": "S71", "position": [5, 1], "step": 76, "ordinal_position": 77}, {"identifier": "M41", "position": [5, 2], "step": 77, "ordinal_position": 78}, {"identifier": "H15", "position": [5, 3], "step": 78, "ordinal_position": 79}, {"identifier": "Z12", "position": [5, 4], "step": 79, "ordinal_position": 80}, {"identifier": "B81", "position": [5, 5], "step": 80, "ordinal_position": 81}, {"identifier": "R21", "position": [4, 5], "step": 81, "ordinal_position": 82}, {"identifier": "L61", "position": [3, 5], "step": 82, "ordinal_position": 83}, {"identifier": "S00", "position": [2, 5], "step": 83, "ordinal_position": 84}, {"identifier": "R25", "position": [1, 5], "step": 84, 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"position": [4, 5], "step": 97, "ordinal_position": 98}, {"identifier": "L61", "position": [3, 5], "step": 98, "ordinal_position": 99}, {"identifier": "S00", "position": [2, 5], "step": 99, "ordinal_position": 100}, {"identifier": "R25", "position": [1, 5], "step": 100, "ordinal_position": 101}, {"identifier": "P63", "position": [1, 4], "step": 101, "ordinal_position": 102}, {"identifier": "O54", "position": [1, 3], "step": 102, "ordinal_position": 103}, {"identifier": "F68", "position": [1, 2], "step": 103, "ordinal_position": 104}, {"identifier": "F44", "position": [1, 1], "step": 104, "ordinal_position": 105}, {"identifier": "P36", "position": [2, 1], "step": 105, "ordinal_position": 106}, {"identifier": "K74", "position": [3, 1], "step": 106, "ordinal_position": 107}, {"identifier": "O85", "position": [4, 1], "step": 107, "ordinal_position": 108}, {"identifier": "S71", "position": [5, 1], "step": 108, "ordinal_position": 109}, {"identifier": "M41", "position": [5, 2], "step": 109, 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146, "ordinal_position": 147}, {"identifier": "S00", "position": [2, 5], "step": 147, "ordinal_position": 148}, {"identifier": "R25", "position": [1, 5], "step": 148, "ordinal_position": 149}, {"identifier": "P63", "position": [1, 4], "step": 149, "ordinal_position": 150}, {"identifier": "O54", "position": [1, 3], "step": 150, "ordinal_position": 151}, {"identifier": "F68", "position": [1, 2], "step": 151, "ordinal_position": 152}, {"identifier": "F44", "position": [1, 1], "step": 152, "ordinal_position": 153}, {"identifier": "P36", "position": [2, 1], "step": 153, "ordinal_position": 154}, {"identifier": "K74", "position": [3, 1], "step": 154, "ordinal_position": 155}, {"identifier": "O85", "position": [4, 1], "step": 155, "ordinal_position": 156}, {"identifier": "S71", "position": [5, 1], "step": 156, "ordinal_position": 157}, {"identifier": "M41", "position": [5, 2], "step": 157, "ordinal_position": 158}, {"identifier": "H15", "position": [5, 3], "step": 158, "ordinal_position": 159}, {"identifier": "Z12", "position": [5, 4], "step": 159, "ordinal_position": 160}, {"identifier": "B81", "position": [5, 5], "step": 160, "ordinal_position": 161}, {"identifier": "R21", "position": [4, 5], "step": 161, "ordinal_position": 162}, {"identifier": "L61", "position": [3, 5], "step": 162, "ordinal_position": 163}, {"identifier": "S00", "position": [2, 5], "step": 163, "ordinal_position": 164}, {"identifier": "R25", "position": [1, 5], "step": 164, "ordinal_position": 165}, {"identifier": "P63", "position": [1, 4], "step": 165, "ordinal_position": 166}, {"identifier": "O54", "position": [1, 3], "step": 166, "ordinal_position": 167}, {"identifier": "F68", "position": [1, 2], "step": 167, "ordinal_position": 168}, {"identifier": "F44", "position": [1, 1], "step": 168, "ordinal_position": 169}, {"identifier": "P36", "position": [2, 1], "step": 169, "ordinal_position": 170}, {"identifier": "K74", "position": [3, 1], "step": 170, "ordinal_position": 171}, {"identifier": "O85", "position": [4, 1], "step": 171, "ordinal_position": 172}, {"identifier": "S71", "position": [5, 1], "step": 172, "ordinal_position": 173}, {"identifier": "M41", "position": [5, 2], "step": 173, "ordinal_position": 174}, {"identifier": "H15", "position": [5, 3], "step": 174, "ordinal_position": 175}, {"identifier": "Z12", "position": [5, 4], "step": 175, "ordinal_position": 176}, {"identifier": "B81", "position": [5, 5], "step": 176, "ordinal_position": 177}, {"identifier": "R21", "position": [4, 5], "step": 177, "ordinal_position": 178}, {"identifier": "L61", "position": [3, 5], "step": 178, "ordinal_position": 179}, {"identifier": "S00", "position": [2, 5], "step": 179, "ordinal_position": 180}, {"identifier": "R25", "position": [1, 5], "step": 180, "ordinal_position": 181}, {"identifier": "P63", "position": [1, 4], "step": 181, "ordinal_position": 182}, {"identifier": "O54", "position": [1, 3], "step": 182, "ordinal_position": 183}, {"identifier": "F68", "position": [1, 2], "step": 183, "ordinal_position": 184}, {"identifier": "F44", "position": [1, 1], "step": 184, "ordinal_position": 185}, {"identifier": "P36", "position": [2, 1], "step": 185, "ordinal_position": 186}, {"identifier": "K74", "position": [3, 1], "step": 186, "ordinal_position": 187}, {"identifier": "O85", "position": [4, 1], "step": 187, "ordinal_position": 188}, {"identifier": "S71", "position": [5, 1], "step": 188, "ordinal_position": 189}, {"identifier": "M41", "position": [5, 2], "step": 189, "ordinal_position": 190}, {"identifier": "H15", "position": [5, 3], "step": 190, "ordinal_position": 191}, {"identifier": "Z12", "position": [5, 4], "step": 191, "ordinal_position": 192}, {"identifier": "B81", "position": [5, 5], "step": 192, "ordinal_position": 193}, {"identifier": "R21", "position": [4, 5], "step": 193, "ordinal_position": 194}, {"identifier": "L61", "position": [3, 5], "step": 194, "ordinal_position": 195}, {"identifier": "S00", "position": [2, 5], "step": 195, "ordinal_position": 196}, {"identifier": "R25", "position": [1, 5], "step": 196, "ordinal_position": 197}, {"identifier": "P63", "position": [1, 4], "step": 197, "ordinal_position": 198}, {"identifier": "O54", "position": [1, 3], "step": 198, "ordinal_position": 199}, {"identifier": "F68", "position": [1, 2], "step": 199, "ordinal_position": 200}, {"identifier": "F44", "position": [1, 1], "step": 200, "ordinal_position": 201}, {"identifier": "P36", "position": [2, 1], "step": 201, "ordinal_position": 202}, {"identifier": "K74", "position": [3, 1], "step": 202, "ordinal_position": 203}, {"identifier": "O85", "position": [4, 1], "step": 203, "ordinal_position": 204}, {"identifier": "S71", "position": [5, 1], "step": 204, "ordinal_position": 205}, {"identifier": "M41", "position": [5, 2], "step": 205, "ordinal_position": 206}, {"identifier": "H15", "position": [5, 3], "step": 206, "ordinal_position": 207}, {"identifier": "Z12", "position": [5, 4], "step": 207, "ordinal_position": 208}, {"identifier": "B81", "position": [5, 5], "step": 208, "ordinal_position": 209}, {"identifier": "R21", "position": [4, 5], "step": 209, "ordinal_position": 210}, {"identifier": "L61", "position": [3, 5], "step": 210, "ordinal_position": 211}, {"identifier": "S00", "position": [2, 5], "step": 211, "ordinal_position": 212}, {"identifier": "R25", "position": [1, 5], "step": 212, "ordinal_position": 213}, {"identifier": "P63", "position": [1, 4], "step": 213, "ordinal_position": 214}, {"identifier": "O54", "position": [1, 3], "step": 214, "ordinal_position": 215}, {"identifier": "F68", "position": [1, 2], "step": 215, "ordinal_position": 216}, {"identifier": "F44", "position": [1, 1], "step": 216, "ordinal_position": 217}, {"identifier": "P36", "position": [2, 1], "step": 217, "ordinal_position": 218}, {"identifier": "K74", "position": [3, 1], "step": 218, "ordinal_position": 219}, {"identifier": "O85", "position": [4, 1], "step": 219, "ordinal_position": 220}, {"identifier": "S71", "position": [5, 1], "step": 220, "ordinal_position": 221}, {"identifier": "M41", "position": [5, 2], "step": 221, "ordinal_position": 222}, {"identifier": "H15", "position": [5, 3], "step": 222, "ordinal_position": 223}, {"identifier": "Z12", "position": [5, 4], "step": 223, "ordinal_position": 224}, {"identifier": "B81", "position": [5, 5], "step": 224, "ordinal_position": 225}, {"identifier": "R21", "position": [4, 5], "step": 225, "ordinal_position": 226}, {"identifier": "L61", "position": [3, 5], "step": 226, "ordinal_position": 227}, {"identifier": "S00", "position": [2, 5], "step": 227, "ordinal_position": 228}, {"identifier": "R25", "position": [1, 5], "step": 228, "ordinal_position": 229}, {"identifier": "P63", "position": [1, 4], "step": 229, "ordinal_position": 230}, {"identifier": "O54", "position": [1, 3], "step": 230, "ordinal_position": 231}, {"identifier": "F68", "position": [1, 2], "step": 231, "ordinal_position": 232}, {"identifier": "F44", "position": [1, 1], "step": 232, "ordinal_position": 233}, {"identifier": "P36", "position": [2, 1], "step": 233, "ordinal_position": 234}, {"identifier": "K74", "position": [3, 1], "step": 234, "ordinal_position": 235}, {"identifier": "O85", "position": [4, 1], "step": 235, "ordinal_position": 236}, {"identifier": "S71", "position": [5, 1], "step": 236, "ordinal_position": 237}, {"identifier": "M41", "position": [5, 2], "step": 237, "ordinal_position": 238}, {"identifier": "H15", "position": [5, 3], "step": 238, "ordinal_position": 239}, {"identifier": "Z12", "position": [5, 4], "step": 239, "ordinal_position": 240}, {"identifier": "B81", "position": [5, 5], "step": 240, "ordinal_position": 241}, {"identifier": "R21", "position": [4, 5], "step": 241, "ordinal_position": 242}, {"identifier": "L61", "position": [3, 5], "step": 242, "ordinal_position": 243}, {"identifier": "S00", "position": [2, 5], "step": 243, "ordinal_position": 244}, {"identifier": "R25", "position": [1, 5], "step": 244, "ordinal_position": 245}, {"identifier": "P63", "position": [1, 4], "step": 245, "ordinal_position": 246}, {"identifier": "O54", "position": [1, 3], "step": 246, "ordinal_position": 247}, {"identifier": "F68", "position": [1, 2], "step": 247, "ordinal_position": 248}, {"identifier": "F44", "position": [1, 1], "step": 248, "ordinal_position": 249}, {"identifier": "P36", "position": [2, 1], "step": 249, "ordinal_position": 250}, {"identifier": "K74", "position": [3, 1], "step": 250, "ordinal_position": 251}, {"identifier": "O85", "position": [4, 1], "step": 251, "ordinal_position": 252}, {"identifier": "S71", "position": [5, 1], "step": 252, "ordinal_position": 253}, {"identifier": "M41", "position": [5, 2], "step": 253, "ordinal_position": 254}, {"identifier": "H15", "position": [5, 3], "step": 254, "ordinal_position": 255}, {"identifier": "Z12", "position": [5, 4], "step": 255, "ordinal_position": 256}, {"identifier": "B81", "position": [5, 5], "step": 256, "ordinal_position": 257}, {"identifier": "R21", "position": [4, 5], "step": 257, "ordinal_position": 258}, {"identifier": "L61", "position": [3, 5], "step": 258, "ordinal_position": 259}, {"identifier": "S00", "position": [2, 5], "step": 259, "ordinal_position": 260}, {"identifier": "R25", "position": [1, 5], "step": 260, "ordinal_position": 261}, {"identifier": "P63", "position": [1, 4], "step": 261, "ordinal_position": 262}, {"identifier": "O54", "position": [1, 3], "step": 262, "ordinal_position": 263}, {"identifier": "F68", "position": [1, 2], "step": 263, "ordinal_position": 264}, {"identifier": "F44", "position": [1, 1], "step": 264, "ordinal_position": 265}, {"identifier": "P36", "position": [2, 1], "step": 265, "ordinal_position": 266}, {"identifier": "K74", "position": [3, 1], "step": 266, "ordinal_position": 267}, {"identifier": "O85", "position": [4, 1], "step": 267, "ordinal_position": 268}, {"identifier": "S71", "position": [5, 1], "step": 268, "ordinal_position": 269}, {"identifier": "M41", "position": [5, 2], "step": 269, "ordinal_position": 270}, {"identifier": "H15", "position": [5, 3], "step": 270, "ordinal_position": 271}, {"identifier": "Z12", "position": [5, 4], "step": 271, "ordinal_position": 272}, {"identifier": "B81", "position": [5, 5], "step": 272, "ordinal_position": 273}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 273, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_010.json"}} {"qa_id": "807ddd0c5de64c9cbbf8e043791e1385", "image_id": "L3-MazeLoop-test_7x7_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P36, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 144th position in this traversal?", "start_object_id": "P36", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [144], "ordinal_strings": ["144th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "F44", "traversal_path": [{"identifier": "P36", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "K74", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "O85", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "S71", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "M41", "position": [5, 2], "step": 4, "ordinal_position": 5}, {"identifier": "H15", "position": [5, 3], "step": 5, "ordinal_position": 6}, {"identifier": "Z12", "position": [5, 4], "step": 6, "ordinal_position": 7}, {"identifier": "B81", "position": [5, 5], "step": 7, "ordinal_position": 8}, {"identifier": "R21", "position": [4, 5], "step": 8, "ordinal_position": 9}, {"identifier": "L61", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "S00", "position": [2, 5], "step": 10, "ordinal_position": 11}, {"identifier": "R25", "position": [1, 5], "step": 11, "ordinal_position": 12}, {"identifier": "P63", "position": [1, 4], "step": 12, "ordinal_position": 13}, {"identifier": "O54", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "F68", "position": [1, 2], "step": 14, "ordinal_position": 15}, {"identifier": "F44", "position": [1, 1], "step": 15, "ordinal_position": 16}, {"identifier": "P36", "position": [2, 1], "step": 16, "ordinal_position": 17}, {"identifier": "K74", "position": [3, 1], "step": 17, "ordinal_position": 18}, {"identifier": "O85", "position": [4, 1], "step": 18, "ordinal_position": 19}, {"identifier": "S71", "position": [5, 1], "step": 19, "ordinal_position": 20}, {"identifier": "M41", "position": [5, 2], "step": 20, "ordinal_position": 21}, {"identifier": "H15", "position": [5, 3], "step": 21, "ordinal_position": 22}, {"identifier": "Z12", "position": [5, 4], "step": 22, "ordinal_position": 23}, {"identifier": "B81", "position": [5, 5], "step": 23, "ordinal_position": 24}, {"identifier": "R21", "position": [4, 5], "step": 24, "ordinal_position": 25}, {"identifier": "L61", "position": [3, 5], "step": 25, "ordinal_position": 26}, {"identifier": "S00", "position": [2, 5], "step": 26, "ordinal_position": 27}, {"identifier": "R25", "position": [1, 5], "step": 27, "ordinal_position": 28}, {"identifier": "P63", "position": [1, 4], "step": 28, "ordinal_position": 29}, {"identifier": "O54", "position": [1, 3], "step": 29, "ordinal_position": 30}, {"identifier": "F68", "position": [1, 2], "step": 30, "ordinal_position": 31}, {"identifier": "F44", "position": [1, 1], "step": 31, "ordinal_position": 32}, {"identifier": "P36", "position": [2, 1], "step": 32, "ordinal_position": 33}, {"identifier": "K74", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "O85", "position": [4, 1], "step": 34, "ordinal_position": 35}, {"identifier": "S71", "position": [5, 1], "step": 35, "ordinal_position": 36}, {"identifier": "M41", "position": [5, 2], "step": 36, "ordinal_position": 37}, {"identifier": "H15", "position": [5, 3], "step": 37, "ordinal_position": 38}, {"identifier": "Z12", "position": [5, 4], "step": 38, "ordinal_position": 39}, {"identifier": "B81", "position": [5, 5], "step": 39, "ordinal_position": 40}, {"identifier": "R21", "position": [4, 5], "step": 40, "ordinal_position": 41}, {"identifier": "L61", "position": [3, 5], "step": 41, "ordinal_position": 42}, {"identifier": "S00", "position": [2, 5], "step": 42, "ordinal_position": 43}, {"identifier": "R25", "position": [1, 5], "step": 43, "ordinal_position": 44}, {"identifier": "P63", "position": [1, 4], "step": 44, "ordinal_position": 45}, {"identifier": "O54", "position": [1, 3], "step": 45, "ordinal_position": 46}, {"identifier": "F68", "position": [1, 2], "step": 46, "ordinal_position": 47}, {"identifier": "F44", "position": [1, 1], "step": 47, "ordinal_position": 48}, {"identifier": "P36", "position": [2, 1], "step": 48, "ordinal_position": 49}, {"identifier": "K74", "position": [3, 1], "step": 49, "ordinal_position": 50}, {"identifier": "O85", "position": [4, 1], "step": 50, "ordinal_position": 51}, {"identifier": "S71", "position": [5, 1], "step": 51, "ordinal_position": 52}, {"identifier": "M41", "position": [5, 2], "step": 52, "ordinal_position": 53}, {"identifier": "H15", "position": [5, 3], "step": 53, "ordinal_position": 54}, {"identifier": "Z12", "position": [5, 4], "step": 54, "ordinal_position": 55}, {"identifier": "B81", "position": [5, 5], "step": 55, "ordinal_position": 56}, {"identifier": "R21", "position": [4, 5], "step": 56, "ordinal_position": 57}, {"identifier": "L61", "position": [3, 5], "step": 57, "ordinal_position": 58}, {"identifier": "S00", "position": [2, 5], "step": 58, "ordinal_position": 59}, {"identifier": "R25", "position": [1, 5], "step": 59, "ordinal_position": 60}, {"identifier": "P63", "position": [1, 4], "step": 60, "ordinal_position": 61}, {"identifier": "O54", "position": [1, 3], "step": 61, "ordinal_position": 62}, {"identifier": "F68", "position": [1, 2], "step": 62, "ordinal_position": 63}, {"identifier": "F44", "position": [1, 1], "step": 63, "ordinal_position": 64}, {"identifier": "P36", "position": [2, 1], "step": 64, "ordinal_position": 65}, {"identifier": "K74", "position": [3, 1], "step": 65, "ordinal_position": 66}, {"identifier": "O85", "position": [4, 1], "step": 66, "ordinal_position": 67}, {"identifier": "S71", "position": [5, 1], "step": 67, "ordinal_position": 68}, {"identifier": "M41", "position": [5, 2], "step": 68, "ordinal_position": 69}, {"identifier": "H15", "position": [5, 3], "step": 69, "ordinal_position": 70}, {"identifier": "Z12", "position": [5, 4], "step": 70, "ordinal_position": 71}, {"identifier": "B81", "position": [5, 5], "step": 71, "ordinal_position": 72}, {"identifier": "R21", "position": [4, 5], "step": 72, "ordinal_position": 73}, {"identifier": "L61", "position": [3, 5], "step": 73, "ordinal_position": 74}, {"identifier": "S00", "position": [2, 5], "step": 74, "ordinal_position": 75}, {"identifier": "R25", "position": [1, 5], "step": 75, "ordinal_position": 76}, {"identifier": "P63", "position": [1, 4], "step": 76, "ordinal_position": 77}, {"identifier": "O54", "position": [1, 3], "step": 77, "ordinal_position": 78}, {"identifier": "F68", "position": [1, 2], "step": 78, "ordinal_position": 79}, {"identifier": "F44", "position": [1, 1], "step": 79, "ordinal_position": 80}, {"identifier": "P36", "position": [2, 1], "step": 80, "ordinal_position": 81}, {"identifier": "K74", "position": [3, 1], "step": 81, "ordinal_position": 82}, {"identifier": "O85", "position": [4, 1], "step": 82, "ordinal_position": 83}, {"identifier": "S71", "position": [5, 1], "step": 83, "ordinal_position": 84}, {"identifier": "M41", "position": [5, 2], "step": 84, "ordinal_position": 85}, {"identifier": "H15", "position": [5, 3], "step": 85, "ordinal_position": 86}, {"identifier": "Z12", "position": [5, 4], "step": 86, "ordinal_position": 87}, {"identifier": "B81", "position": [5, 5], "step": 87, "ordinal_position": 88}, {"identifier": "R21", "position": [4, 5], "step": 88, "ordinal_position": 89}, {"identifier": "L61", "position": [3, 5], "step": 89, "ordinal_position": 90}, {"identifier": "S00", "position": [2, 5], "step": 90, "ordinal_position": 91}, {"identifier": "R25", "position": [1, 5], "step": 91, "ordinal_position": 92}, {"identifier": 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"ordinal_position": 105}, {"identifier": "L61", "position": [3, 5], "step": 105, "ordinal_position": 106}, {"identifier": "S00", "position": [2, 5], "step": 106, "ordinal_position": 107}, {"identifier": "R25", "position": [1, 5], "step": 107, "ordinal_position": 108}, {"identifier": "P63", "position": [1, 4], "step": 108, "ordinal_position": 109}, {"identifier": "O54", "position": [1, 3], "step": 109, "ordinal_position": 110}, {"identifier": "F68", "position": [1, 2], "step": 110, "ordinal_position": 111}, {"identifier": "F44", "position": [1, 1], "step": 111, "ordinal_position": 112}, {"identifier": "P36", "position": [2, 1], "step": 112, "ordinal_position": 113}, {"identifier": "K74", "position": [3, 1], "step": 113, "ordinal_position": 114}, {"identifier": "O85", "position": [4, 1], "step": 114, "ordinal_position": 115}, {"identifier": "S71", "position": [5, 1], "step": 115, "ordinal_position": 116}, {"identifier": "M41", "position": [5, 2], "step": 116, "ordinal_position": 117}, {"identifier": "H15", "position": [5, 3], "step": 117, "ordinal_position": 118}, {"identifier": "Z12", "position": [5, 4], "step": 118, "ordinal_position": 119}, {"identifier": "B81", "position": [5, 5], "step": 119, "ordinal_position": 120}, {"identifier": "R21", "position": [4, 5], "step": 120, "ordinal_position": 121}, {"identifier": "L61", "position": [3, 5], "step": 121, "ordinal_position": 122}, {"identifier": "S00", "position": [2, 5], "step": 122, "ordinal_position": 123}, {"identifier": "R25", "position": [1, 5], "step": 123, "ordinal_position": 124}, {"identifier": "P63", "position": [1, 4], "step": 124, "ordinal_position": 125}, {"identifier": "O54", "position": [1, 3], "step": 125, "ordinal_position": 126}, {"identifier": "F68", "position": [1, 2], "step": 126, "ordinal_position": 127}, {"identifier": "F44", "position": [1, 1], "step": 127, "ordinal_position": 128}, {"identifier": "P36", "position": [2, 1], "step": 128, "ordinal_position": 129}, {"identifier": "K74", "position": [3, 1], "step": 129, "ordinal_position": 130}, {"identifier": "O85", "position": [4, 1], "step": 130, "ordinal_position": 131}, {"identifier": "S71", "position": [5, 1], "step": 131, "ordinal_position": 132}, {"identifier": "M41", "position": [5, 2], "step": 132, "ordinal_position": 133}, {"identifier": "H15", "position": [5, 3], "step": 133, "ordinal_position": 134}, {"identifier": "Z12", "position": [5, 4], "step": 134, "ordinal_position": 135}, {"identifier": "B81", "position": [5, 5], "step": 135, "ordinal_position": 136}, {"identifier": "R21", "position": [4, 5], "step": 136, "ordinal_position": 137}, {"identifier": "L61", "position": [3, 5], "step": 137, "ordinal_position": 138}, {"identifier": "S00", "position": [2, 5], "step": 138, "ordinal_position": 139}, {"identifier": "R25", "position": [1, 5], "step": 139, "ordinal_position": 140}, {"identifier": "P63", "position": [1, 4], "step": 140, "ordinal_position": 141}, {"identifier": "O54", "position": [1, 3], "step": 141, "ordinal_position": 142}, {"identifier": "F68", "position": [1, 2], "step": 142, "ordinal_position": 143}, {"identifier": "F44", "position": [1, 1], "step": 143, "ordinal_position": 144}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 144, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_010.json"}} {"qa_id": "06404959f749482dbd72366f405c3d08", "image_id": "L3-MazeLoop-test_7x7_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F68, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 283rd position in this traversal?", "start_object_id": "F68", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [283], "ordinal_strings": ["283rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "R21", "traversal_path": [{"identifier": "F68", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "F44", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "P36", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "K74", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "O85", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "S71", "position": [5, 1], "step": 5, "ordinal_position": 6}, {"identifier": "M41", "position": [5, 2], "step": 6, "ordinal_position": 7}, {"identifier": "H15", "position": [5, 3], "step": 7, "ordinal_position": 8}, {"identifier": "Z12", "position": [5, 4], "step": 8, "ordinal_position": 9}, {"identifier": "B81", "position": [5, 5], "step": 9, "ordinal_position": 10}, {"identifier": "R21", "position": [4, 5], "step": 10, "ordinal_position": 11}, {"identifier": "L61", "position": [3, 5], "step": 11, "ordinal_position": 12}, {"identifier": "S00", "position": [2, 5], "step": 12, "ordinal_position": 13}, {"identifier": "R25", "position": [1, 5], "step": 13, "ordinal_position": 14}, {"identifier": "P63", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "O54", "position": [1, 3], "step": 15, "ordinal_position": 16}, {"identifier": "F68", "position": [1, 2], "step": 16, "ordinal_position": 17}, {"identifier": "F44", "position": [1, 1], "step": 17, "ordinal_position": 18}, {"identifier": "P36", "position": [2, 1], "step": 18, "ordinal_position": 19}, {"identifier": "K74", "position": [3, 1], "step": 19, "ordinal_position": 20}, {"identifier": "O85", "position": [4, 1], "step": 20, "ordinal_position": 21}, {"identifier": "S71", "position": [5, 1], "step": 21, "ordinal_position": 22}, {"identifier": "M41", "position": [5, 2], "step": 22, "ordinal_position": 23}, {"identifier": "H15", "position": [5, 3], "step": 23, "ordinal_position": 24}, {"identifier": "Z12", "position": [5, 4], "step": 24, "ordinal_position": 25}, {"identifier": "B81", "position": [5, 5], "step": 25, "ordinal_position": 26}, {"identifier": "R21", "position": [4, 5], "step": 26, "ordinal_position": 27}, {"identifier": "L61", "position": [3, 5], "step": 27, "ordinal_position": 28}, {"identifier": "S00", "position": [2, 5], "step": 28, "ordinal_position": 29}, {"identifier": "R25", "position": [1, 5], "step": 29, "ordinal_position": 30}, {"identifier": "P63", "position": [1, 4], "step": 30, "ordinal_position": 31}, {"identifier": "O54", "position": [1, 3], "step": 31, "ordinal_position": 32}, {"identifier": "F68", "position": [1, 2], "step": 32, "ordinal_position": 33}, {"identifier": "F44", "position": [1, 1], "step": 33, "ordinal_position": 34}, {"identifier": "P36", "position": [2, 1], "step": 34, "ordinal_position": 35}, {"identifier": "K74", "position": [3, 1], "step": 35, "ordinal_position": 36}, {"identifier": "O85", "position": [4, 1], "step": 36, "ordinal_position": 37}, {"identifier": "S71", "position": [5, 1], "step": 37, "ordinal_position": 38}, {"identifier": "M41", "position": [5, 2], "step": 38, "ordinal_position": 39}, {"identifier": "H15", "position": [5, 3], "step": 39, "ordinal_position": 40}, {"identifier": "Z12", "position": [5, 4], "step": 40, "ordinal_position": 41}, {"identifier": "B81", "position": [5, 5], "step": 41, "ordinal_position": 42}, {"identifier": "R21", "position": [4, 5], "step": 42, "ordinal_position": 43}, {"identifier": "L61", "position": [3, 5], "step": 43, "ordinal_position": 44}, {"identifier": "S00", "position": [2, 5], "step": 44, "ordinal_position": 45}, {"identifier": "R25", "position": [1, 5], "step": 45, "ordinal_position": 46}, {"identifier": "P63", "position": [1, 4], "step": 46, "ordinal_position": 47}, {"identifier": "O54", "position": [1, 3], "step": 47, "ordinal_position": 48}, {"identifier": "F68", "position": [1, 2], "step": 48, "ordinal_position": 49}, {"identifier": "F44", "position": [1, 1], "step": 49, "ordinal_position": 50}, {"identifier": "P36", "position": [2, 1], "step": 50, "ordinal_position": 51}, {"identifier": "K74", "position": [3, 1], "step": 51, "ordinal_position": 52}, {"identifier": "O85", "position": [4, 1], "step": 52, "ordinal_position": 53}, {"identifier": "S71", "position": [5, 1], "step": 53, "ordinal_position": 54}, {"identifier": "M41", "position": [5, 2], "step": 54, "ordinal_position": 55}, {"identifier": "H15", "position": [5, 3], "step": 55, "ordinal_position": 56}, {"identifier": "Z12", "position": [5, 4], "step": 56, "ordinal_position": 57}, {"identifier": "B81", "position": [5, 5], "step": 57, "ordinal_position": 58}, {"identifier": "R21", "position": [4, 5], "step": 58, "ordinal_position": 59}, {"identifier": "L61", "position": [3, 5], "step": 59, "ordinal_position": 60}, {"identifier": "S00", "position": [2, 5], "step": 60, "ordinal_position": 61}, {"identifier": "R25", "position": [1, 5], "step": 61, "ordinal_position": 62}, {"identifier": "P63", "position": [1, 4], "step": 62, "ordinal_position": 63}, {"identifier": "O54", "position": [1, 3], "step": 63, "ordinal_position": 64}, {"identifier": "F68", "position": [1, 2], "step": 64, "ordinal_position": 65}, {"identifier": "F44", "position": [1, 1], "step": 65, "ordinal_position": 66}, {"identifier": "P36", "position": [2, 1], "step": 66, "ordinal_position": 67}, {"identifier": "K74", "position": [3, 1], "step": 67, "ordinal_position": 68}, {"identifier": "O85", "position": [4, 1], "step": 68, "ordinal_position": 69}, {"identifier": "S71", "position": [5, 1], "step": 69, "ordinal_position": 70}, {"identifier": "M41", "position": [5, 2], "step": 70, "ordinal_position": 71}, {"identifier": "H15", "position": [5, 3], "step": 71, "ordinal_position": 72}, {"identifier": "Z12", "position": [5, 4], "step": 72, "ordinal_position": 73}, {"identifier": "B81", "position": [5, 5], "step": 73, "ordinal_position": 74}, {"identifier": "R21", "position": [4, 5], "step": 74, "ordinal_position": 75}, {"identifier": "L61", "position": [3, 5], "step": 75, "ordinal_position": 76}, {"identifier": "S00", "position": [2, 5], "step": 76, "ordinal_position": 77}, {"identifier": "R25", "position": [1, 5], "step": 77, "ordinal_position": 78}, {"identifier": "P63", "position": [1, 4], "step": 78, "ordinal_position": 79}, {"identifier": "O54", "position": [1, 3], "step": 79, "ordinal_position": 80}, {"identifier": "F68", "position": [1, 2], "step": 80, "ordinal_position": 81}, {"identifier": "F44", "position": [1, 1], "step": 81, "ordinal_position": 82}, {"identifier": "P36", "position": [2, 1], "step": 82, "ordinal_position": 83}, {"identifier": "K74", "position": [3, 1], "step": 83, "ordinal_position": 84}, {"identifier": "O85", "position": [4, 1], "step": 84, "ordinal_position": 85}, {"identifier": "S71", "position": [5, 1], "step": 85, "ordinal_position": 86}, {"identifier": "M41", "position": [5, 2], "step": 86, "ordinal_position": 87}, {"identifier": "H15", "position": [5, 3], "step": 87, "ordinal_position": 88}, {"identifier": "Z12", "position": [5, 4], "step": 88, "ordinal_position": 89}, {"identifier": "B81", "position": [5, 5], "step": 89, "ordinal_position": 90}, {"identifier": "R21", "position": [4, 5], "step": 90, "ordinal_position": 91}, {"identifier": "L61", "position": [3, 5], "step": 91, "ordinal_position": 92}, {"identifier": "S00", "position": [2, 5], "step": 92, "ordinal_position": 93}, {"identifier": "R25", "position": [1, 5], "step": 93, "ordinal_position": 94}, {"identifier": "P63", "position": [1, 4], "step": 94, "ordinal_position": 95}, {"identifier": "O54", "position": [1, 3], "step": 95, "ordinal_position": 96}, {"identifier": "F68", "position": [1, 2], "step": 96, "ordinal_position": 97}, {"identifier": "F44", "position": [1, 1], "step": 97, "ordinal_position": 98}, {"identifier": "P36", "position": [2, 1], "step": 98, "ordinal_position": 99}, {"identifier": "K74", "position": [3, 1], "step": 99, "ordinal_position": 100}, {"identifier": "O85", "position": [4, 1], "step": 100, "ordinal_position": 101}, {"identifier": "S71", "position": [5, 1], "step": 101, "ordinal_position": 102}, {"identifier": "M41", "position": [5, 2], "step": 102, "ordinal_position": 103}, {"identifier": "H15", "position": [5, 3], "step": 103, "ordinal_position": 104}, {"identifier": "Z12", "position": [5, 4], "step": 104, "ordinal_position": 105}, {"identifier": "B81", "position": [5, 5], "step": 105, "ordinal_position": 106}, {"identifier": "R21", "position": [4, 5], "step": 106, "ordinal_position": 107}, {"identifier": "L61", "position": [3, 5], "step": 107, "ordinal_position": 108}, {"identifier": "S00", "position": [2, 5], "step": 108, "ordinal_position": 109}, {"identifier": "R25", "position": [1, 5], "step": 109, "ordinal_position": 110}, {"identifier": "P63", "position": [1, 4], "step": 110, "ordinal_position": 111}, {"identifier": "O54", "position": [1, 3], "step": 111, "ordinal_position": 112}, {"identifier": "F68", "position": [1, 2], "step": 112, "ordinal_position": 113}, {"identifier": "F44", "position": [1, 1], "step": 113, "ordinal_position": 114}, {"identifier": "P36", "position": [2, 1], "step": 114, "ordinal_position": 115}, {"identifier": "K74", "position": [3, 1], "step": 115, "ordinal_position": 116}, {"identifier": "O85", "position": [4, 1], "step": 116, "ordinal_position": 117}, {"identifier": "S71", "position": [5, 1], "step": 117, "ordinal_position": 118}, {"identifier": "M41", "position": [5, 2], "step": 118, "ordinal_position": 119}, {"identifier": "H15", "position": [5, 3], "step": 119, "ordinal_position": 120}, {"identifier": "Z12", "position": [5, 4], "step": 120, "ordinal_position": 121}, {"identifier": "B81", "position": [5, 5], "step": 121, "ordinal_position": 122}, {"identifier": "R21", "position": [4, 5], "step": 122, "ordinal_position": 123}, {"identifier": "L61", "position": [3, 5], "step": 123, "ordinal_position": 124}, {"identifier": "S00", "position": [2, 5], "step": 124, "ordinal_position": 125}, {"identifier": "R25", "position": [1, 5], "step": 125, "ordinal_position": 126}, {"identifier": "P63", "position": [1, 4], "step": 126, "ordinal_position": 127}, {"identifier": "O54", "position": [1, 3], "step": 127, "ordinal_position": 128}, {"identifier": "F68", "position": [1, 2], "step": 128, "ordinal_position": 129}, {"identifier": "F44", "position": [1, 1], "step": 129, "ordinal_position": 130}, {"identifier": "P36", "position": [2, 1], "step": 130, "ordinal_position": 131}, {"identifier": "K74", "position": [3, 1], "step": 131, "ordinal_position": 132}, {"identifier": "O85", "position": [4, 1], "step": 132, "ordinal_position": 133}, {"identifier": "S71", "position": [5, 1], "step": 133, "ordinal_position": 134}, {"identifier": "M41", "position": [5, 2], "step": 134, "ordinal_position": 135}, {"identifier": "H15", "position": [5, 3], "step": 135, "ordinal_position": 136}, {"identifier": "Z12", "position": [5, 4], "step": 136, "ordinal_position": 137}, {"identifier": "B81", "position": [5, 5], "step": 137, "ordinal_position": 138}, {"identifier": "R21", "position": [4, 5], "step": 138, "ordinal_position": 139}, {"identifier": "L61", "position": [3, 5], "step": 139, "ordinal_position": 140}, {"identifier": "S00", "position": [2, 5], "step": 140, "ordinal_position": 141}, {"identifier": "R25", "position": [1, 5], "step": 141, "ordinal_position": 142}, {"identifier": "P63", "position": [1, 4], "step": 142, "ordinal_position": 143}, {"identifier": "O54", "position": [1, 3], "step": 143, "ordinal_position": 144}, {"identifier": "F68", "position": [1, 2], "step": 144, "ordinal_position": 145}, {"identifier": "F44", "position": [1, 1], "step": 145, "ordinal_position": 146}, {"identifier": "P36", "position": [2, 1], "step": 146, "ordinal_position": 147}, {"identifier": "K74", "position": [3, 1], "step": 147, "ordinal_position": 148}, {"identifier": "O85", "position": [4, 1], "step": 148, "ordinal_position": 149}, {"identifier": "S71", "position": [5, 1], "step": 149, "ordinal_position": 150}, {"identifier": "M41", "position": [5, 2], "step": 150, "ordinal_position": 151}, {"identifier": "H15", "position": [5, 3], "step": 151, "ordinal_position": 152}, {"identifier": "Z12", "position": [5, 4], "step": 152, "ordinal_position": 153}, {"identifier": "B81", "position": [5, 5], "step": 153, "ordinal_position": 154}, {"identifier": "R21", "position": [4, 5], "step": 154, "ordinal_position": 155}, {"identifier": "L61", "position": [3, 5], "step": 155, "ordinal_position": 156}, {"identifier": "S00", "position": [2, 5], "step": 156, "ordinal_position": 157}, {"identifier": "R25", "position": [1, 5], "step": 157, "ordinal_position": 158}, {"identifier": "P63", "position": [1, 4], "step": 158, "ordinal_position": 159}, {"identifier": "O54", "position": [1, 3], "step": 159, "ordinal_position": 160}, {"identifier": "F68", "position": [1, 2], "step": 160, "ordinal_position": 161}, {"identifier": "F44", "position": [1, 1], "step": 161, "ordinal_position": 162}, {"identifier": "P36", "position": [2, 1], "step": 162, "ordinal_position": 163}, {"identifier": "K74", "position": [3, 1], "step": 163, "ordinal_position": 164}, {"identifier": "O85", "position": [4, 1], "step": 164, "ordinal_position": 165}, {"identifier": "S71", "position": [5, 1], "step": 165, "ordinal_position": 166}, {"identifier": "M41", "position": [5, 2], "step": 166, "ordinal_position": 167}, {"identifier": "H15", "position": [5, 3], "step": 167, "ordinal_position": 168}, {"identifier": "Z12", "position": [5, 4], "step": 168, "ordinal_position": 169}, {"identifier": "B81", "position": [5, 5], "step": 169, "ordinal_position": 170}, {"identifier": "R21", "position": [4, 5], "step": 170, "ordinal_position": 171}, {"identifier": "L61", "position": [3, 5], "step": 171, "ordinal_position": 172}, {"identifier": "S00", "position": [2, 5], "step": 172, "ordinal_position": 173}, {"identifier": "R25", "position": [1, 5], "step": 173, "ordinal_position": 174}, {"identifier": "P63", "position": [1, 4], "step": 174, "ordinal_position": 175}, {"identifier": "O54", "position": [1, 3], "step": 175, "ordinal_position": 176}, {"identifier": "F68", "position": [1, 2], "step": 176, "ordinal_position": 177}, {"identifier": "F44", "position": [1, 1], "step": 177, "ordinal_position": 178}, {"identifier": "P36", "position": [2, 1], "step": 178, "ordinal_position": 179}, {"identifier": "K74", 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"position": [5, 4], "step": 216, "ordinal_position": 217}, {"identifier": "B81", "position": [5, 5], "step": 217, "ordinal_position": 218}, {"identifier": "R21", "position": [4, 5], "step": 218, "ordinal_position": 219}, {"identifier": "L61", "position": [3, 5], "step": 219, "ordinal_position": 220}, {"identifier": "S00", "position": [2, 5], "step": 220, "ordinal_position": 221}, {"identifier": "R25", "position": [1, 5], "step": 221, "ordinal_position": 222}, {"identifier": "P63", "position": [1, 4], "step": 222, "ordinal_position": 223}, {"identifier": "O54", "position": [1, 3], "step": 223, "ordinal_position": 224}, {"identifier": "F68", "position": [1, 2], "step": 224, "ordinal_position": 225}, {"identifier": "F44", "position": [1, 1], "step": 225, "ordinal_position": 226}, {"identifier": "P36", "position": [2, 1], "step": 226, "ordinal_position": 227}, {"identifier": "K74", "position": [3, 1], "step": 227, "ordinal_position": 228}, {"identifier": "O85", "position": [4, 1], "step": 228, "ordinal_position": 229}, {"identifier": "S71", "position": [5, 1], "step": 229, "ordinal_position": 230}, {"identifier": "M41", "position": [5, 2], "step": 230, "ordinal_position": 231}, {"identifier": "H15", "position": [5, 3], "step": 231, "ordinal_position": 232}, {"identifier": "Z12", "position": [5, 4], "step": 232, "ordinal_position": 233}, {"identifier": "B81", "position": [5, 5], "step": 233, "ordinal_position": 234}, {"identifier": "R21", "position": [4, 5], "step": 234, "ordinal_position": 235}, {"identifier": "L61", "position": [3, 5], "step": 235, "ordinal_position": 236}, {"identifier": "S00", "position": [2, 5], "step": 236, "ordinal_position": 237}, {"identifier": "R25", "position": [1, 5], "step": 237, "ordinal_position": 238}, {"identifier": "P63", "position": [1, 4], "step": 238, "ordinal_position": 239}, {"identifier": "O54", "position": [1, 3], "step": 239, "ordinal_position": 240}, {"identifier": "F68", "position": [1, 2], "step": 240, "ordinal_position": 241}, {"identifier": "F44", "position": [1, 1], "step": 241, "ordinal_position": 242}, {"identifier": "P36", "position": [2, 1], "step": 242, "ordinal_position": 243}, {"identifier": "K74", "position": [3, 1], "step": 243, "ordinal_position": 244}, {"identifier": "O85", "position": [4, 1], "step": 244, "ordinal_position": 245}, {"identifier": "S71", "position": [5, 1], "step": 245, "ordinal_position": 246}, {"identifier": "M41", "position": [5, 2], "step": 246, "ordinal_position": 247}, {"identifier": "H15", "position": [5, 3], "step": 247, "ordinal_position": 248}, {"identifier": "Z12", "position": [5, 4], "step": 248, "ordinal_position": 249}, {"identifier": "B81", "position": [5, 5], "step": 249, "ordinal_position": 250}, {"identifier": "R21", "position": [4, 5], "step": 250, "ordinal_position": 251}, {"identifier": "L61", "position": [3, 5], "step": 251, "ordinal_position": 252}, {"identifier": "S00", "position": [2, 5], "step": 252, "ordinal_position": 253}, {"identifier": "R25", "position": [1, 5], "step": 253, "ordinal_position": 254}, {"identifier": "P63", "position": [1, 4], "step": 254, "ordinal_position": 255}, {"identifier": "O54", "position": [1, 3], "step": 255, "ordinal_position": 256}, {"identifier": "F68", "position": [1, 2], "step": 256, "ordinal_position": 257}, {"identifier": "F44", "position": [1, 1], "step": 257, "ordinal_position": 258}, {"identifier": "P36", "position": [2, 1], "step": 258, "ordinal_position": 259}, {"identifier": "K74", "position": [3, 1], "step": 259, "ordinal_position": 260}, {"identifier": "O85", "position": [4, 1], "step": 260, "ordinal_position": 261}, {"identifier": "S71", "position": [5, 1], "step": 261, "ordinal_position": 262}, {"identifier": "M41", "position": [5, 2], "step": 262, "ordinal_position": 263}, {"identifier": "H15", "position": [5, 3], "step": 263, "ordinal_position": 264}, {"identifier": "Z12", "position": [5, 4], "step": 264, "ordinal_position": 265}, {"identifier": "B81", "position": [5, 5], "step": 265, "ordinal_position": 266}, {"identifier": "R21", "position": [4, 5], "step": 266, "ordinal_position": 267}, {"identifier": "L61", "position": [3, 5], "step": 267, "ordinal_position": 268}, {"identifier": "S00", "position": [2, 5], "step": 268, "ordinal_position": 269}, {"identifier": "R25", "position": [1, 5], "step": 269, "ordinal_position": 270}, {"identifier": "P63", "position": [1, 4], "step": 270, "ordinal_position": 271}, {"identifier": "O54", "position": [1, 3], "step": 271, "ordinal_position": 272}, {"identifier": "F68", "position": [1, 2], "step": 272, "ordinal_position": 273}, {"identifier": "F44", "position": [1, 1], "step": 273, "ordinal_position": 274}, {"identifier": "P36", "position": [2, 1], "step": 274, "ordinal_position": 275}, {"identifier": "K74", "position": [3, 1], "step": 275, "ordinal_position": 276}, {"identifier": "O85", "position": [4, 1], "step": 276, "ordinal_position": 277}, {"identifier": "S71", "position": [5, 1], "step": 277, "ordinal_position": 278}, {"identifier": "M41", "position": [5, 2], "step": 278, "ordinal_position": 279}, {"identifier": "H15", "position": [5, 3], "step": 279, "ordinal_position": 280}, {"identifier": "Z12", "position": [5, 4], "step": 280, "ordinal_position": 281}, {"identifier": "B81", "position": [5, 5], "step": 281, "ordinal_position": 282}, {"identifier": "R21", "position": [4, 5], "step": 282, "ordinal_position": 283}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 283, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_010.json"}} {"qa_id": "5f259de2924f476ab5ea96c89df8df28", "image_id": "L3-MazeLoop-test_7x7_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K74, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 239th position in this traversal?", "start_object_id": "K74", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [239], "ordinal_strings": ["239th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "S71", "traversal_path": [{"identifier": "K74", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "P36", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "F44", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "F68", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "O54", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "P63", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "R25", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "S00", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "L61", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "R21", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "B81", "position": [5, 5], "step": 10, "ordinal_position": 11}, {"identifier": "Z12", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "H15", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "M41", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "S71", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "O85", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "K74", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "P36", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "F44", "position": [1, 1], "step": 18, "ordinal_position": 19}, {"identifier": "F68", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "O54", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "P63", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "R25", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "S00", "position": [2, 5], "step": 23, "ordinal_position": 24}, {"identifier": "L61", "position": [3, 5], "step": 24, "ordinal_position": 25}, {"identifier": "R21", "position": [4, 5], "step": 25, "ordinal_position": 26}, {"identifier": "B81", "position": [5, 5], "step": 26, "ordinal_position": 27}, {"identifier": "Z12", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "H15", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "M41", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "S71", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "O85", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "K74", "position": [3, 1], "step": 32, "ordinal_position": 33}, {"identifier": "P36", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "F44", "position": [1, 1], "step": 34, "ordinal_position": 35}, {"identifier": "F68", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "O54", "position": [1, 3], "step": 36, "ordinal_position": 37}, {"identifier": "P63", "position": [1, 4], "step": 37, "ordinal_position": 38}, {"identifier": "R25", "position": [1, 5], "step": 38, "ordinal_position": 39}, {"identifier": "S00", "position": [2, 5], "step": 39, "ordinal_position": 40}, {"identifier": "L61", "position": [3, 5], "step": 40, "ordinal_position": 41}, {"identifier": "R21", "position": [4, 5], "step": 41, "ordinal_position": 42}, {"identifier": "B81", "position": [5, 5], "step": 42, "ordinal_position": 43}, {"identifier": "Z12", "position": [5, 4], "step": 43, "ordinal_position": 44}, {"identifier": "H15", "position": [5, 3], "step": 44, "ordinal_position": 45}, {"identifier": "M41", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "S71", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "O85", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "K74", "position": [3, 1], "step": 48, "ordinal_position": 49}, {"identifier": "P36", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "F44", "position": [1, 1], "step": 50, "ordinal_position": 51}, {"identifier": "F68", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "O54", "position": [1, 3], "step": 52, "ordinal_position": 53}, {"identifier": "P63", "position": [1, 4], "step": 53, "ordinal_position": 54}, {"identifier": "R25", "position": [1, 5], "step": 54, "ordinal_position": 55}, {"identifier": "S00", "position": [2, 5], "step": 55, "ordinal_position": 56}, {"identifier": "L61", "position": [3, 5], "step": 56, "ordinal_position": 57}, {"identifier": "R21", "position": [4, 5], "step": 57, "ordinal_position": 58}, {"identifier": "B81", "position": [5, 5], "step": 58, "ordinal_position": 59}, {"identifier": "Z12", "position": [5, 4], "step": 59, "ordinal_position": 60}, {"identifier": "H15", "position": [5, 3], "step": 60, "ordinal_position": 61}, {"identifier": "M41", "position": [5, 2], "step": 61, "ordinal_position": 62}, {"identifier": "S71", "position": [5, 1], "step": 62, "ordinal_position": 63}, {"identifier": "O85", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "K74", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "P36", "position": [2, 1], "step": 65, "ordinal_position": 66}, {"identifier": "F44", "position": [1, 1], "step": 66, "ordinal_position": 67}, {"identifier": "F68", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "O54", "position": [1, 3], "step": 68, "ordinal_position": 69}, {"identifier": "P63", "position": [1, 4], "step": 69, "ordinal_position": 70}, {"identifier": "R25", "position": [1, 5], "step": 70, "ordinal_position": 71}, {"identifier": "S00", "position": [2, 5], "step": 71, "ordinal_position": 72}, {"identifier": "L61", "position": [3, 5], "step": 72, "ordinal_position": 73}, {"identifier": "R21", "position": [4, 5], "step": 73, "ordinal_position": 74}, {"identifier": "B81", "position": [5, 5], "step": 74, "ordinal_position": 75}, {"identifier": "Z12", "position": [5, 4], "step": 75, "ordinal_position": 76}, {"identifier": "H15", "position": [5, 3], "step": 76, "ordinal_position": 77}, {"identifier": "M41", "position": [5, 2], "step": 77, "ordinal_position": 78}, {"identifier": "S71", "position": [5, 1], "step": 78, "ordinal_position": 79}, {"identifier": "O85", "position": [4, 1], "step": 79, "ordinal_position": 80}, {"identifier": "K74", "position": [3, 1], "step": 80, "ordinal_position": 81}, {"identifier": "P36", "position": [2, 1], "step": 81, "ordinal_position": 82}, {"identifier": "F44", "position": [1, 1], "step": 82, "ordinal_position": 83}, {"identifier": "F68", "position": [1, 2], "step": 83, "ordinal_position": 84}, {"identifier": "O54", "position": [1, 3], "step": 84, "ordinal_position": 85}, {"identifier": "P63", "position": [1, 4], "step": 85, "ordinal_position": 86}, {"identifier": "R25", "position": [1, 5], "step": 86, "ordinal_position": 87}, {"identifier": "S00", "position": [2, 5], "step": 87, "ordinal_position": 88}, {"identifier": "L61", "position": [3, 5], "step": 88, "ordinal_position": 89}, {"identifier": "R21", "position": [4, 5], "step": 89, "ordinal_position": 90}, {"identifier": "B81", "position": [5, 5], "step": 90, "ordinal_position": 91}, {"identifier": "Z12", "position": [5, 4], "step": 91, "ordinal_position": 92}, {"identifier": "H15", "position": [5, 3], "step": 92, "ordinal_position": 93}, {"identifier": "M41", "position": [5, 2], "step": 93, "ordinal_position": 94}, {"identifier": "S71", "position": [5, 1], "step": 94, "ordinal_position": 95}, {"identifier": "O85", "position": [4, 1], "step": 95, "ordinal_position": 96}, {"identifier": "K74", "position": [3, 1], "step": 96, "ordinal_position": 97}, {"identifier": "P36", "position": [2, 1], "step": 97, "ordinal_position": 98}, {"identifier": "F44", "position": [1, 1], "step": 98, "ordinal_position": 99}, {"identifier": "F68", "position": [1, 2], "step": 99, "ordinal_position": 100}, {"identifier": "O54", "position": [1, 3], "step": 100, "ordinal_position": 101}, {"identifier": "P63", "position": [1, 4], "step": 101, "ordinal_position": 102}, {"identifier": "R25", "position": [1, 5], "step": 102, "ordinal_position": 103}, {"identifier": "S00", "position": [2, 5], "step": 103, "ordinal_position": 104}, {"identifier": "L61", "position": [3, 5], "step": 104, "ordinal_position": 105}, {"identifier": "R21", "position": [4, 5], "step": 105, "ordinal_position": 106}, {"identifier": "B81", "position": [5, 5], "step": 106, "ordinal_position": 107}, {"identifier": "Z12", "position": [5, 4], "step": 107, "ordinal_position": 108}, {"identifier": "H15", "position": [5, 3], "step": 108, "ordinal_position": 109}, {"identifier": "M41", "position": [5, 2], "step": 109, "ordinal_position": 110}, {"identifier": "S71", "position": [5, 1], "step": 110, "ordinal_position": 111}, {"identifier": "O85", "position": [4, 1], "step": 111, "ordinal_position": 112}, {"identifier": "K74", "position": [3, 1], "step": 112, "ordinal_position": 113}, {"identifier": "P36", "position": [2, 1], "step": 113, "ordinal_position": 114}, {"identifier": "F44", "position": [1, 1], "step": 114, "ordinal_position": 115}, {"identifier": "F68", "position": [1, 2], "step": 115, "ordinal_position": 116}, {"identifier": "O54", "position": [1, 3], "step": 116, "ordinal_position": 117}, {"identifier": "P63", "position": [1, 4], "step": 117, "ordinal_position": 118}, {"identifier": "R25", "position": [1, 5], "step": 118, "ordinal_position": 119}, {"identifier": "S00", "position": [2, 5], "step": 119, "ordinal_position": 120}, {"identifier": "L61", "position": [3, 5], "step": 120, "ordinal_position": 121}, {"identifier": "R21", "position": [4, 5], "step": 121, "ordinal_position": 122}, {"identifier": "B81", "position": [5, 5], "step": 122, "ordinal_position": 123}, {"identifier": "Z12", "position": [5, 4], "step": 123, "ordinal_position": 124}, {"identifier": "H15", "position": [5, 3], "step": 124, "ordinal_position": 125}, {"identifier": "M41", "position": [5, 2], "step": 125, "ordinal_position": 126}, {"identifier": "S71", "position": [5, 1], "step": 126, "ordinal_position": 127}, {"identifier": "O85", "position": [4, 1], "step": 127, "ordinal_position": 128}, {"identifier": "K74", "position": [3, 1], "step": 128, "ordinal_position": 129}, {"identifier": "P36", "position": [2, 1], "step": 129, "ordinal_position": 130}, {"identifier": "F44", "position": [1, 1], "step": 130, "ordinal_position": 131}, {"identifier": "F68", "position": [1, 2], "step": 131, "ordinal_position": 132}, {"identifier": "O54", "position": [1, 3], "step": 132, "ordinal_position": 133}, {"identifier": "P63", "position": [1, 4], "step": 133, "ordinal_position": 134}, {"identifier": "R25", "position": [1, 5], "step": 134, "ordinal_position": 135}, {"identifier": "S00", "position": [2, 5], "step": 135, "ordinal_position": 136}, {"identifier": "L61", "position": [3, 5], "step": 136, "ordinal_position": 137}, {"identifier": "R21", "position": [4, 5], "step": 137, "ordinal_position": 138}, {"identifier": "B81", "position": [5, 5], "step": 138, "ordinal_position": 139}, {"identifier": "Z12", "position": [5, 4], "step": 139, "ordinal_position": 140}, {"identifier": "H15", "position": [5, 3], "step": 140, "ordinal_position": 141}, {"identifier": "M41", "position": [5, 2], "step": 141, "ordinal_position": 142}, {"identifier": "S71", "position": [5, 1], "step": 142, "ordinal_position": 143}, {"identifier": "O85", "position": [4, 1], "step": 143, "ordinal_position": 144}, {"identifier": "K74", "position": [3, 1], "step": 144, "ordinal_position": 145}, {"identifier": "P36", "position": [2, 1], "step": 145, "ordinal_position": 146}, {"identifier": "F44", "position": [1, 1], "step": 146, "ordinal_position": 147}, {"identifier": "F68", "position": [1, 2], "step": 147, "ordinal_position": 148}, {"identifier": "O54", "position": [1, 3], "step": 148, "ordinal_position": 149}, {"identifier": "P63", "position": [1, 4], "step": 149, "ordinal_position": 150}, {"identifier": "R25", "position": [1, 5], "step": 150, "ordinal_position": 151}, {"identifier": "S00", "position": [2, 5], "step": 151, "ordinal_position": 152}, {"identifier": "L61", "position": [3, 5], "step": 152, "ordinal_position": 153}, {"identifier": "R21", "position": [4, 5], "step": 153, "ordinal_position": 154}, {"identifier": "B81", "position": [5, 5], "step": 154, "ordinal_position": 155}, {"identifier": "Z12", "position": [5, 4], "step": 155, "ordinal_position": 156}, {"identifier": "H15", "position": [5, 3], "step": 156, "ordinal_position": 157}, {"identifier": "M41", "position": [5, 2], "step": 157, "ordinal_position": 158}, {"identifier": "S71", "position": [5, 1], "step": 158, "ordinal_position": 159}, {"identifier": "O85", "position": [4, 1], "step": 159, "ordinal_position": 160}, {"identifier": "K74", "position": [3, 1], "step": 160, "ordinal_position": 161}, {"identifier": "P36", "position": [2, 1], "step": 161, "ordinal_position": 162}, {"identifier": "F44", "position": [1, 1], "step": 162, "ordinal_position": 163}, {"identifier": "F68", "position": [1, 2], "step": 163, "ordinal_position": 164}, {"identifier": "O54", "position": [1, 3], "step": 164, "ordinal_position": 165}, {"identifier": "P63", "position": [1, 4], "step": 165, "ordinal_position": 166}, {"identifier": "R25", "position": [1, 5], "step": 166, "ordinal_position": 167}, {"identifier": "S00", "position": [2, 5], "step": 167, "ordinal_position": 168}, {"identifier": "L61", "position": [3, 5], "step": 168, "ordinal_position": 169}, {"identifier": "R21", "position": [4, 5], "step": 169, "ordinal_position": 170}, {"identifier": "B81", "position": [5, 5], "step": 170, "ordinal_position": 171}, {"identifier": "Z12", "position": [5, 4], "step": 171, "ordinal_position": 172}, {"identifier": "H15", "position": [5, 3], "step": 172, "ordinal_position": 173}, {"identifier": "M41", "position": [5, 2], "step": 173, "ordinal_position": 174}, {"identifier": "S71", "position": [5, 1], "step": 174, "ordinal_position": 175}, {"identifier": "O85", "position": [4, 1], "step": 175, "ordinal_position": 176}, {"identifier": "K74", "position": [3, 1], "step": 176, "ordinal_position": 177}, {"identifier": "P36", "position": [2, 1], "step": 177, "ordinal_position": 178}, {"identifier": "F44", "position": [1, 1], "step": 178, "ordinal_position": 179}, {"identifier": "F68", "position": [1, 2], "step": 179, "ordinal_position": 180}, {"identifier": "O54", "position": [1, 3], "step": 180, "ordinal_position": 181}, {"identifier": "P63", "position": [1, 4], "step": 181, "ordinal_position": 182}, {"identifier": "R25", "position": [1, 5], "step": 182, "ordinal_position": 183}, {"identifier": "S00", "position": [2, 5], "step": 183, "ordinal_position": 184}, {"identifier": "L61", "position": [3, 5], "step": 184, "ordinal_position": 185}, {"identifier": "R21", "position": [4, 5], "step": 185, "ordinal_position": 186}, {"identifier": "B81", "position": [5, 5], "step": 186, "ordinal_position": 187}, {"identifier": "Z12", "position": [5, 4], "step": 187, "ordinal_position": 188}, {"identifier": "H15", "position": [5, 3], "step": 188, "ordinal_position": 189}, {"identifier": "M41", "position": [5, 2], "step": 189, "ordinal_position": 190}, {"identifier": "S71", "position": [5, 1], "step": 190, "ordinal_position": 191}, {"identifier": "O85", "position": [4, 1], "step": 191, "ordinal_position": 192}, {"identifier": "K74", "position": [3, 1], "step": 192, "ordinal_position": 193}, {"identifier": "P36", "position": [2, 1], "step": 193, "ordinal_position": 194}, {"identifier": "F44", "position": [1, 1], "step": 194, "ordinal_position": 195}, {"identifier": "F68", "position": [1, 2], "step": 195, "ordinal_position": 196}, {"identifier": "O54", "position": [1, 3], "step": 196, "ordinal_position": 197}, {"identifier": "P63", "position": [1, 4], "step": 197, "ordinal_position": 198}, {"identifier": "R25", "position": [1, 5], "step": 198, "ordinal_position": 199}, {"identifier": "S00", "position": [2, 5], "step": 199, "ordinal_position": 200}, {"identifier": "L61", "position": [3, 5], "step": 200, "ordinal_position": 201}, {"identifier": "R21", "position": [4, 5], "step": 201, "ordinal_position": 202}, {"identifier": "B81", "position": [5, 5], "step": 202, "ordinal_position": 203}, {"identifier": "Z12", "position": [5, 4], "step": 203, "ordinal_position": 204}, {"identifier": "H15", "position": [5, 3], "step": 204, "ordinal_position": 205}, {"identifier": "M41", "position": [5, 2], "step": 205, "ordinal_position": 206}, {"identifier": "S71", "position": [5, 1], "step": 206, "ordinal_position": 207}, {"identifier": "O85", "position": [4, 1], "step": 207, "ordinal_position": 208}, {"identifier": "K74", "position": [3, 1], "step": 208, "ordinal_position": 209}, {"identifier": "P36", "position": [2, 1], "step": 209, "ordinal_position": 210}, {"identifier": "F44", "position": [1, 1], "step": 210, "ordinal_position": 211}, {"identifier": "F68", "position": [1, 2], "step": 211, "ordinal_position": 212}, {"identifier": "O54", "position": [1, 3], "step": 212, "ordinal_position": 213}, {"identifier": "P63", "position": [1, 4], "step": 213, "ordinal_position": 214}, {"identifier": "R25", "position": [1, 5], "step": 214, "ordinal_position": 215}, {"identifier": "S00", "position": [2, 5], "step": 215, "ordinal_position": 216}, {"identifier": "L61", "position": [3, 5], "step": 216, "ordinal_position": 217}, {"identifier": "R21", "position": [4, 5], "step": 217, "ordinal_position": 218}, {"identifier": "B81", "position": [5, 5], "step": 218, "ordinal_position": 219}, {"identifier": "Z12", "position": [5, 4], "step": 219, "ordinal_position": 220}, {"identifier": "H15", "position": [5, 3], "step": 220, "ordinal_position": 221}, {"identifier": "M41", "position": [5, 2], "step": 221, "ordinal_position": 222}, {"identifier": "S71", "position": [5, 1], "step": 222, "ordinal_position": 223}, {"identifier": "O85", "position": [4, 1], "step": 223, "ordinal_position": 224}, {"identifier": "K74", "position": [3, 1], "step": 224, "ordinal_position": 225}, {"identifier": "P36", "position": [2, 1], "step": 225, "ordinal_position": 226}, {"identifier": "F44", "position": [1, 1], "step": 226, "ordinal_position": 227}, {"identifier": "F68", "position": [1, 2], "step": 227, "ordinal_position": 228}, {"identifier": "O54", "position": [1, 3], "step": 228, "ordinal_position": 229}, {"identifier": "P63", "position": [1, 4], "step": 229, "ordinal_position": 230}, {"identifier": "R25", "position": [1, 5], "step": 230, "ordinal_position": 231}, {"identifier": "S00", "position": [2, 5], "step": 231, "ordinal_position": 232}, {"identifier": "L61", "position": [3, 5], "step": 232, "ordinal_position": 233}, {"identifier": "R21", "position": [4, 5], "step": 233, "ordinal_position": 234}, {"identifier": "B81", "position": [5, 5], "step": 234, "ordinal_position": 235}, {"identifier": "Z12", "position": [5, 4], "step": 235, "ordinal_position": 236}, {"identifier": "H15", "position": [5, 3], "step": 236, "ordinal_position": 237}, {"identifier": "M41", "position": [5, 2], "step": 237, "ordinal_position": 238}, {"identifier": "S71", "position": [5, 1], "step": 238, "ordinal_position": 239}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 239, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_010.json"}} {"qa_id": "c3a07d07410c46da8c32d53a43046837", "image_id": "L3-MazeLoop-test_7x7_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y20, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "Y20", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "N36", "traversal_path": [{"identifier": "Y20", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "C43", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "T00", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "S04", "position": [4, 5], "step": 3, "ordinal_position": 4}, {"identifier": "N36", "position": [5, 5], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_011.json"}} {"qa_id": "dcce4d82e48a491eb376a853e87c1ae3", "image_id": "L3-MazeLoop-test_7x7_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y38, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "Y38", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "C58", "traversal_path": [{"identifier": "Y38", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "A61", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Z21", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "B46", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "H79", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Q22", "position": [5, 1], "step": 5, "ordinal_position": 6}, {"identifier": "C58", "position": [5, 2], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_011.json"}} {"qa_id": "a55d09cf671442aab3430ae59b3c0f5c", "image_id": "L3-MazeLoop-test_7x7_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G45, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "G45", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "A61", "traversal_path": [{"identifier": "G45", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "B23", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "Y38", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "A61", "position": [1, 1], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_011.json"}} {"qa_id": "e56ee6c3754a4fa8bdb56980f552164e", "image_id": "L3-MazeLoop-test_7x7_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y56, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "Y56", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "H79", "traversal_path": [{"identifier": "Y56", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "Z52", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "C58", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "Q22", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "H79", "position": [4, 1], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_011.json"}} {"qa_id": "9ffe184eedfa47cfa62f23799d73933c", "image_id": "L3-MazeLoop-test_7x7_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y20, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "Y20", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "B23", "traversal_path": [{"identifier": "Y20", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "G45", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "B23", "position": [1, 3], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 3, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_011.json"}} {"qa_id": "3e7b5a9733d741dfadb13cb61056df6f", "image_id": "L3-MazeLoop-test_7x7_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B46, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 54th position in this traversal?", "start_object_id": "B46", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [54], "ordinal_strings": ["54th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Y56", "traversal_path": [{"identifier": "B46", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "S55", "position": [3, 2], "step": 1, "ordinal_position": 2}, {"identifier": "J90", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "V64", "position": [4, 3], "step": 3, "ordinal_position": 4}, {"identifier": "Z52", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "Y56", "position": [5, 4], "step": 5, "ordinal_position": 6}, {"identifier": "N36", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "S04", "position": [4, 5], "step": 7, "ordinal_position": 8}, {"identifier": "T00", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "C43", "position": [2, 5], "step": 9, "ordinal_position": 10}, {"identifier": "Y20", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "G45", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "B23", "position": [1, 3], "step": 12, "ordinal_position": 13}, {"identifier": "Y38", "position": [1, 2], "step": 13, "ordinal_position": 14}, {"identifier": "A61", "position": [1, 1], "step": 14, "ordinal_position": 15}, {"identifier": "Z21", "position": [2, 1], "step": 15, "ordinal_position": 16}, {"identifier": "B46", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "H79", "position": [4, 1], "step": 17, "ordinal_position": 18}, {"identifier": "Q22", "position": [5, 1], "step": 18, "ordinal_position": 19}, {"identifier": "C58", "position": [5, 2], "step": 19, "ordinal_position": 20}, {"identifier": "Z52", "position": [5, 3], "step": 20, "ordinal_position": 21}, {"identifier": "Y56", "position": [5, 4], "step": 21, "ordinal_position": 22}, {"identifier": "N36", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "S04", "position": [4, 5], "step": 23, "ordinal_position": 24}, {"identifier": "T00", "position": [3, 5], "step": 24, "ordinal_position": 25}, {"identifier": "C43", "position": [2, 5], "step": 25, "ordinal_position": 26}, {"identifier": "Y20", "position": [1, 5], "step": 26, "ordinal_position": 27}, {"identifier": "G45", "position": [1, 4], "step": 27, "ordinal_position": 28}, {"identifier": "B23", "position": [1, 3], "step": 28, "ordinal_position": 29}, {"identifier": "Y38", "position": [1, 2], "step": 29, "ordinal_position": 30}, {"identifier": "A61", "position": [1, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Z21", "position": [2, 1], "step": 31, "ordinal_position": 32}, {"identifier": "B46", "position": [3, 1], "step": 32, "ordinal_position": 33}, {"identifier": "H79", "position": [4, 1], "step": 33, "ordinal_position": 34}, {"identifier": "Q22", "position": [5, 1], "step": 34, "ordinal_position": 35}, {"identifier": "C58", "position": [5, 2], "step": 35, "ordinal_position": 36}, {"identifier": "Z52", "position": [5, 3], "step": 36, "ordinal_position": 37}, {"identifier": "Y56", "position": [5, 4], "step": 37, "ordinal_position": 38}, {"identifier": "N36", "position": [5, 5], "step": 38, "ordinal_position": 39}, {"identifier": "S04", "position": [4, 5], "step": 39, "ordinal_position": 40}, {"identifier": "T00", "position": [3, 5], "step": 40, "ordinal_position": 41}, {"identifier": "C43", "position": [2, 5], "step": 41, "ordinal_position": 42}, {"identifier": "Y20", "position": [1, 5], "step": 42, "ordinal_position": 43}, {"identifier": "G45", "position": [1, 4], "step": 43, "ordinal_position": 44}, {"identifier": "B23", "position": [1, 3], "step": 44, "ordinal_position": 45}, {"identifier": "Y38", "position": [1, 2], "step": 45, "ordinal_position": 46}, {"identifier": "A61", "position": [1, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Z21", "position": [2, 1], "step": 47, "ordinal_position": 48}, {"identifier": "B46", "position": [3, 1], "step": 48, "ordinal_position": 49}, {"identifier": "H79", "position": [4, 1], "step": 49, "ordinal_position": 50}, {"identifier": "Q22", "position": [5, 1], "step": 50, "ordinal_position": 51}, {"identifier": "C58", "position": [5, 2], "step": 51, "ordinal_position": 52}, {"identifier": "Z52", "position": [5, 3], "step": 52, "ordinal_position": 53}, {"identifier": "Y56", "position": [5, 4], "step": 53, "ordinal_position": 54}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 54, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_011.json"}} {"qa_id": "4428ff4357524159ab5219bdcc933ee3", "image_id": "L3-MazeLoop-test_7x7_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B23, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 58th position in this traversal?", "start_object_id": "B23", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [58], "ordinal_strings": ["58th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "C58", "traversal_path": [{"identifier": "B23", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "G45", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "Y20", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "C43", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "T00", "position": [3, 5], "step": 4, "ordinal_position": 5}, {"identifier": "S04", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "N36", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "Y56", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "Z52", "position": [5, 3], "step": 8, "ordinal_position": 9}, {"identifier": "C58", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "Q22", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "H79", "position": [4, 1], "step": 11, "ordinal_position": 12}, {"identifier": "B46", "position": [3, 1], "step": 12, "ordinal_position": 13}, {"identifier": "Z21", "position": [2, 1], "step": 13, "ordinal_position": 14}, {"identifier": "A61", "position": [1, 1], "step": 14, "ordinal_position": 15}, {"identifier": "Y38", "position": [1, 2], "step": 15, "ordinal_position": 16}, {"identifier": "B23", "position": [1, 3], "step": 16, "ordinal_position": 17}, {"identifier": "G45", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "Y20", "position": [1, 5], "step": 18, "ordinal_position": 19}, {"identifier": "C43", "position": [2, 5], "step": 19, "ordinal_position": 20}, {"identifier": "T00", "position": [3, 5], "step": 20, "ordinal_position": 21}, {"identifier": "S04", "position": [4, 5], "step": 21, "ordinal_position": 22}, {"identifier": "N36", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "Y56", "position": [5, 4], "step": 23, "ordinal_position": 24}, {"identifier": "Z52", "position": [5, 3], "step": 24, "ordinal_position": 25}, {"identifier": "C58", "position": [5, 2], "step": 25, "ordinal_position": 26}, {"identifier": "Q22", "position": [5, 1], "step": 26, "ordinal_position": 27}, {"identifier": "H79", "position": [4, 1], "step": 27, "ordinal_position": 28}, {"identifier": "B46", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Z21", "position": [2, 1], "step": 29, "ordinal_position": 30}, {"identifier": "A61", "position": [1, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Y38", "position": [1, 2], "step": 31, "ordinal_position": 32}, {"identifier": "B23", "position": [1, 3], "step": 32, "ordinal_position": 33}, {"identifier": "G45", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "Y20", "position": [1, 5], "step": 34, "ordinal_position": 35}, {"identifier": "C43", "position": [2, 5], "step": 35, "ordinal_position": 36}, {"identifier": "T00", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "S04", "position": [4, 5], "step": 37, "ordinal_position": 38}, {"identifier": "N36", "position": [5, 5], "step": 38, "ordinal_position": 39}, {"identifier": "Y56", "position": [5, 4], "step": 39, "ordinal_position": 40}, {"identifier": "Z52", "position": [5, 3], "step": 40, "ordinal_position": 41}, {"identifier": "C58", "position": [5, 2], "step": 41, "ordinal_position": 42}, {"identifier": "Q22", "position": [5, 1], "step": 42, "ordinal_position": 43}, {"identifier": "H79", "position": [4, 1], "step": 43, "ordinal_position": 44}, {"identifier": "B46", "position": [3, 1], "step": 44, "ordinal_position": 45}, {"identifier": "Z21", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "A61", "position": [1, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Y38", "position": [1, 2], "step": 47, "ordinal_position": 48}, {"identifier": "B23", "position": [1, 3], "step": 48, "ordinal_position": 49}, {"identifier": "G45", "position": [1, 4], "step": 49, "ordinal_position": 50}, {"identifier": "Y20", "position": [1, 5], "step": 50, "ordinal_position": 51}, {"identifier": "C43", "position": [2, 5], "step": 51, "ordinal_position": 52}, {"identifier": "T00", "position": [3, 5], "step": 52, "ordinal_position": 53}, {"identifier": "S04", "position": [4, 5], "step": 53, "ordinal_position": 54}, {"identifier": "N36", "position": [5, 5], "step": 54, "ordinal_position": 55}, {"identifier": "Y56", "position": [5, 4], "step": 55, "ordinal_position": 56}, {"identifier": "Z52", "position": [5, 3], "step": 56, "ordinal_position": 57}, {"identifier": "C58", "position": [5, 2], "step": 57, "ordinal_position": 58}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 58, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_011.json"}} {"qa_id": "1c21d6894c3c4260a7c20d9886fc73e2", "image_id": "L3-MazeLoop-test_7x7_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z52, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 75th position in this traversal?", "start_object_id": "Z52", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [75], "ordinal_strings": ["75th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Y20", "traversal_path": [{"identifier": "Z52", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "V64", "position": [4, 3], "step": 1, "ordinal_position": 2}, {"identifier": "J90", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "S55", "position": [3, 2], "step": 3, "ordinal_position": 4}, {"identifier": "B46", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Z21", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "A61", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Y38", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "B23", "position": [1, 3], "step": 8, "ordinal_position": 9}, {"identifier": "G45", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "Y20", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "C43", "position": [2, 5], "step": 11, "ordinal_position": 12}, {"identifier": "T00", "position": [3, 5], "step": 12, "ordinal_position": 13}, {"identifier": "S04", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "N36", "position": [5, 5], "step": 14, "ordinal_position": 15}, {"identifier": "Y56", "position": [5, 4], "step": 15, "ordinal_position": 16}, {"identifier": "Z52", "position": [5, 3], "step": 16, "ordinal_position": 17}, {"identifier": "C58", "position": [5, 2], "step": 17, "ordinal_position": 18}, {"identifier": "Q22", "position": [5, 1], "step": 18, "ordinal_position": 19}, {"identifier": "H79", "position": [4, 1], "step": 19, "ordinal_position": 20}, {"identifier": "B46", "position": [3, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Z21", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "A61", "position": [1, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Y38", "position": [1, 2], "step": 23, "ordinal_position": 24}, {"identifier": "B23", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "G45", "position": [1, 4], "step": 25, "ordinal_position": 26}, {"identifier": "Y20", "position": [1, 5], "step": 26, "ordinal_position": 27}, {"identifier": "C43", "position": [2, 5], "step": 27, "ordinal_position": 28}, {"identifier": "T00", "position": [3, 5], "step": 28, "ordinal_position": 29}, {"identifier": "S04", "position": [4, 5], "step": 29, "ordinal_position": 30}, {"identifier": "N36", "position": [5, 5], "step": 30, "ordinal_position": 31}, {"identifier": "Y56", "position": [5, 4], "step": 31, "ordinal_position": 32}, {"identifier": "Z52", "position": [5, 3], "step": 32, "ordinal_position": 33}, {"identifier": "C58", "position": [5, 2], "step": 33, "ordinal_position": 34}, {"identifier": "Q22", "position": [5, 1], "step": 34, "ordinal_position": 35}, {"identifier": "H79", "position": [4, 1], "step": 35, "ordinal_position": 36}, {"identifier": "B46", "position": [3, 1], "step": 36, "ordinal_position": 37}, {"identifier": "Z21", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "A61", "position": [1, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Y38", "position": [1, 2], "step": 39, "ordinal_position": 40}, {"identifier": "B23", "position": [1, 3], "step": 40, "ordinal_position": 41}, {"identifier": "G45", "position": [1, 4], "step": 41, "ordinal_position": 42}, {"identifier": "Y20", "position": [1, 5], "step": 42, "ordinal_position": 43}, {"identifier": "C43", "position": [2, 5], "step": 43, "ordinal_position": 44}, {"identifier": "T00", "position": [3, 5], "step": 44, "ordinal_position": 45}, {"identifier": "S04", "position": [4, 5], "step": 45, "ordinal_position": 46}, {"identifier": "N36", "position": [5, 5], "step": 46, "ordinal_position": 47}, {"identifier": "Y56", "position": [5, 4], "step": 47, "ordinal_position": 48}, {"identifier": "Z52", "position": [5, 3], "step": 48, "ordinal_position": 49}, {"identifier": "C58", "position": [5, 2], "step": 49, "ordinal_position": 50}, {"identifier": "Q22", "position": [5, 1], "step": 50, "ordinal_position": 51}, {"identifier": "H79", "position": [4, 1], "step": 51, "ordinal_position": 52}, {"identifier": "B46", "position": [3, 1], "step": 52, "ordinal_position": 53}, {"identifier": "Z21", "position": [2, 1], "step": 53, "ordinal_position": 54}, {"identifier": "A61", "position": [1, 1], "step": 54, "ordinal_position": 55}, {"identifier": "Y38", "position": [1, 2], "step": 55, "ordinal_position": 56}, {"identifier": "B23", "position": [1, 3], "step": 56, "ordinal_position": 57}, {"identifier": "G45", "position": [1, 4], "step": 57, "ordinal_position": 58}, {"identifier": "Y20", "position": [1, 5], "step": 58, "ordinal_position": 59}, {"identifier": "C43", "position": [2, 5], "step": 59, "ordinal_position": 60}, {"identifier": "T00", "position": [3, 5], "step": 60, "ordinal_position": 61}, {"identifier": "S04", "position": [4, 5], "step": 61, "ordinal_position": 62}, {"identifier": "N36", "position": [5, 5], "step": 62, "ordinal_position": 63}, {"identifier": "Y56", "position": [5, 4], "step": 63, "ordinal_position": 64}, {"identifier": "Z52", "position": [5, 3], "step": 64, "ordinal_position": 65}, {"identifier": "C58", "position": [5, 2], "step": 65, "ordinal_position": 66}, {"identifier": "Q22", "position": [5, 1], "step": 66, "ordinal_position": 67}, {"identifier": "H79", "position": [4, 1], "step": 67, "ordinal_position": 68}, {"identifier": "B46", "position": [3, 1], "step": 68, "ordinal_position": 69}, {"identifier": "Z21", "position": [2, 1], "step": 69, "ordinal_position": 70}, {"identifier": "A61", "position": [1, 1], "step": 70, "ordinal_position": 71}, {"identifier": "Y38", "position": [1, 2], "step": 71, "ordinal_position": 72}, {"identifier": "B23", "position": [1, 3], "step": 72, "ordinal_position": 73}, {"identifier": "G45", "position": [1, 4], "step": 73, "ordinal_position": 74}, {"identifier": "Y20", "position": [1, 5], "step": 74, "ordinal_position": 75}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 75, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_011.json"}} {"qa_id": "e1d0ff135aa24c1891a413f26571aa9d", "image_id": "L3-MazeLoop-test_7x7_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G45, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 73rd position in this traversal?", "start_object_id": "G45", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [73], "ordinal_strings": ["73rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "C58", "traversal_path": [{"identifier": "G45", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "B23", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "Y38", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "A61", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Z21", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "B46", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "H79", "position": [4, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Q22", "position": [5, 1], "step": 7, "ordinal_position": 8}, {"identifier": "C58", "position": [5, 2], "step": 8, "ordinal_position": 9}, {"identifier": "Z52", "position": [5, 3], "step": 9, "ordinal_position": 10}, {"identifier": "Y56", "position": [5, 4], "step": 10, "ordinal_position": 11}, {"identifier": "N36", "position": [5, 5], "step": 11, "ordinal_position": 12}, {"identifier": "S04", "position": [4, 5], "step": 12, "ordinal_position": 13}, {"identifier": "T00", "position": [3, 5], "step": 13, "ordinal_position": 14}, {"identifier": "C43", "position": [2, 5], "step": 14, "ordinal_position": 15}, {"identifier": "Y20", "position": [1, 5], "step": 15, "ordinal_position": 16}, {"identifier": "G45", "position": [1, 4], "step": 16, "ordinal_position": 17}, {"identifier": "B23", "position": [1, 3], "step": 17, "ordinal_position": 18}, {"identifier": "Y38", "position": [1, 2], "step": 18, "ordinal_position": 19}, {"identifier": "A61", "position": [1, 1], "step": 19, "ordinal_position": 20}, {"identifier": "Z21", "position": [2, 1], "step": 20, "ordinal_position": 21}, {"identifier": "B46", "position": [3, 1], "step": 21, "ordinal_position": 22}, {"identifier": "H79", "position": [4, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Q22", "position": [5, 1], "step": 23, "ordinal_position": 24}, {"identifier": "C58", "position": [5, 2], "step": 24, "ordinal_position": 25}, {"identifier": "Z52", "position": [5, 3], "step": 25, "ordinal_position": 26}, {"identifier": "Y56", "position": [5, 4], "step": 26, "ordinal_position": 27}, {"identifier": "N36", "position": [5, 5], "step": 27, "ordinal_position": 28}, {"identifier": "S04", "position": [4, 5], "step": 28, "ordinal_position": 29}, {"identifier": "T00", "position": [3, 5], "step": 29, "ordinal_position": 30}, {"identifier": "C43", "position": [2, 5], "step": 30, "ordinal_position": 31}, {"identifier": "Y20", "position": [1, 5], "step": 31, "ordinal_position": 32}, {"identifier": "G45", "position": [1, 4], "step": 32, "ordinal_position": 33}, {"identifier": "B23", "position": [1, 3], "step": 33, "ordinal_position": 34}, {"identifier": "Y38", "position": [1, 2], "step": 34, "ordinal_position": 35}, {"identifier": "A61", "position": [1, 1], "step": 35, "ordinal_position": 36}, {"identifier": "Z21", "position": [2, 1], "step": 36, "ordinal_position": 37}, {"identifier": "B46", "position": [3, 1], "step": 37, "ordinal_position": 38}, {"identifier": "H79", "position": [4, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Q22", "position": [5, 1], "step": 39, "ordinal_position": 40}, {"identifier": "C58", "position": [5, 2], "step": 40, "ordinal_position": 41}, {"identifier": "Z52", "position": [5, 3], "step": 41, "ordinal_position": 42}, {"identifier": "Y56", "position": [5, 4], "step": 42, "ordinal_position": 43}, {"identifier": "N36", "position": [5, 5], "step": 43, "ordinal_position": 44}, {"identifier": "S04", "position": [4, 5], "step": 44, "ordinal_position": 45}, {"identifier": "T00", "position": [3, 5], "step": 45, "ordinal_position": 46}, {"identifier": "C43", "position": [2, 5], "step": 46, "ordinal_position": 47}, {"identifier": "Y20", "position": [1, 5], "step": 47, "ordinal_position": 48}, {"identifier": "G45", "position": [1, 4], "step": 48, "ordinal_position": 49}, {"identifier": "B23", "position": [1, 3], "step": 49, "ordinal_position": 50}, {"identifier": "Y38", "position": [1, 2], "step": 50, "ordinal_position": 51}, {"identifier": "A61", "position": [1, 1], "step": 51, "ordinal_position": 52}, {"identifier": "Z21", "position": [2, 1], "step": 52, "ordinal_position": 53}, {"identifier": "B46", "position": [3, 1], "step": 53, "ordinal_position": 54}, {"identifier": "H79", "position": [4, 1], "step": 54, "ordinal_position": 55}, {"identifier": "Q22", "position": [5, 1], "step": 55, "ordinal_position": 56}, {"identifier": "C58", "position": [5, 2], "step": 56, "ordinal_position": 57}, {"identifier": "Z52", "position": [5, 3], "step": 57, "ordinal_position": 58}, {"identifier": "Y56", "position": [5, 4], "step": 58, "ordinal_position": 59}, {"identifier": "N36", "position": [5, 5], "step": 59, "ordinal_position": 60}, {"identifier": "S04", "position": [4, 5], "step": 60, "ordinal_position": 61}, {"identifier": "T00", "position": [3, 5], "step": 61, "ordinal_position": 62}, {"identifier": "C43", "position": [2, 5], "step": 62, "ordinal_position": 63}, {"identifier": "Y20", "position": [1, 5], "step": 63, "ordinal_position": 64}, {"identifier": "G45", "position": [1, 4], "step": 64, "ordinal_position": 65}, {"identifier": "B23", "position": [1, 3], "step": 65, "ordinal_position": 66}, {"identifier": "Y38", "position": [1, 2], "step": 66, "ordinal_position": 67}, {"identifier": "A61", "position": [1, 1], "step": 67, "ordinal_position": 68}, {"identifier": "Z21", "position": [2, 1], "step": 68, "ordinal_position": 69}, {"identifier": "B46", "position": [3, 1], "step": 69, "ordinal_position": 70}, {"identifier": "H79", "position": [4, 1], "step": 70, "ordinal_position": 71}, {"identifier": "Q22", "position": [5, 1], "step": 71, "ordinal_position": 72}, {"identifier": "C58", "position": [5, 2], "step": 72, "ordinal_position": 73}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 73, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_011.json"}} {"qa_id": "e98866c870ad4c3ea2dda51ad73fb3eb", "image_id": "L3-MazeLoop-test_7x7_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y56, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 79th position in this traversal?", "start_object_id": "Y56", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [79], "ordinal_strings": ["79th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "S04", "traversal_path": [{"identifier": "Y56", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "Z52", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "C58", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "Q22", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "H79", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "B46", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Z21", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "A61", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "Y38", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "B23", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "G45", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "Y20", "position": [1, 5], "step": 11, "ordinal_position": 12}, {"identifier": "C43", "position": [2, 5], "step": 12, "ordinal_position": 13}, {"identifier": "T00", "position": [3, 5], "step": 13, "ordinal_position": 14}, {"identifier": "S04", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "N36", "position": [5, 5], "step": 15, "ordinal_position": 16}, {"identifier": "Y56", "position": [5, 4], "step": 16, "ordinal_position": 17}, {"identifier": "Z52", "position": [5, 3], "step": 17, "ordinal_position": 18}, {"identifier": "C58", "position": [5, 2], "step": 18, "ordinal_position": 19}, {"identifier": "Q22", "position": [5, 1], "step": 19, "ordinal_position": 20}, {"identifier": "H79", "position": [4, 1], "step": 20, "ordinal_position": 21}, {"identifier": "B46", "position": [3, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Z21", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "A61", "position": [1, 1], "step": 23, "ordinal_position": 24}, {"identifier": "Y38", "position": [1, 2], "step": 24, "ordinal_position": 25}, {"identifier": "B23", "position": [1, 3], "step": 25, "ordinal_position": 26}, {"identifier": "G45", "position": [1, 4], "step": 26, "ordinal_position": 27}, {"identifier": "Y20", "position": [1, 5], "step": 27, "ordinal_position": 28}, {"identifier": "C43", "position": [2, 5], "step": 28, "ordinal_position": 29}, {"identifier": "T00", "position": [3, 5], "step": 29, "ordinal_position": 30}, {"identifier": "S04", "position": [4, 5], "step": 30, "ordinal_position": 31}, {"identifier": "N36", "position": [5, 5], "step": 31, "ordinal_position": 32}, {"identifier": "Y56", "position": [5, 4], "step": 32, "ordinal_position": 33}, {"identifier": "Z52", "position": [5, 3], "step": 33, "ordinal_position": 34}, {"identifier": "C58", "position": [5, 2], "step": 34, "ordinal_position": 35}, {"identifier": "Q22", "position": [5, 1], "step": 35, "ordinal_position": 36}, {"identifier": "H79", "position": [4, 1], "step": 36, "ordinal_position": 37}, {"identifier": "B46", "position": [3, 1], "step": 37, "ordinal_position": 38}, {"identifier": "Z21", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "A61", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "Y38", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "B23", "position": [1, 3], "step": 41, "ordinal_position": 42}, {"identifier": "G45", "position": [1, 4], "step": 42, "ordinal_position": 43}, {"identifier": "Y20", "position": [1, 5], "step": 43, "ordinal_position": 44}, {"identifier": "C43", "position": [2, 5], "step": 44, "ordinal_position": 45}, {"identifier": "T00", "position": [3, 5], "step": 45, "ordinal_position": 46}, {"identifier": "S04", "position": [4, 5], "step": 46, "ordinal_position": 47}, {"identifier": "N36", "position": [5, 5], "step": 47, "ordinal_position": 48}, {"identifier": "Y56", "position": [5, 4], "step": 48, "ordinal_position": 49}, {"identifier": "Z52", "position": [5, 3], "step": 49, "ordinal_position": 50}, {"identifier": "C58", "position": [5, 2], "step": 50, "ordinal_position": 51}, {"identifier": "Q22", "position": [5, 1], "step": 51, "ordinal_position": 52}, {"identifier": "H79", "position": [4, 1], "step": 52, "ordinal_position": 53}, {"identifier": "B46", "position": [3, 1], "step": 53, "ordinal_position": 54}, {"identifier": "Z21", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "A61", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "Y38", "position": [1, 2], "step": 56, "ordinal_position": 57}, {"identifier": "B23", "position": [1, 3], "step": 57, "ordinal_position": 58}, {"identifier": "G45", "position": [1, 4], "step": 58, "ordinal_position": 59}, {"identifier": "Y20", "position": [1, 5], "step": 59, "ordinal_position": 60}, {"identifier": "C43", "position": [2, 5], "step": 60, "ordinal_position": 61}, {"identifier": "T00", "position": [3, 5], "step": 61, "ordinal_position": 62}, {"identifier": "S04", "position": [4, 5], "step": 62, "ordinal_position": 63}, {"identifier": "N36", "position": [5, 5], "step": 63, "ordinal_position": 64}, {"identifier": "Y56", "position": [5, 4], "step": 64, "ordinal_position": 65}, {"identifier": "Z52", "position": [5, 3], "step": 65, "ordinal_position": 66}, {"identifier": "C58", "position": [5, 2], "step": 66, "ordinal_position": 67}, {"identifier": "Q22", "position": [5, 1], "step": 67, "ordinal_position": 68}, {"identifier": "H79", "position": [4, 1], "step": 68, "ordinal_position": 69}, {"identifier": "B46", "position": [3, 1], "step": 69, "ordinal_position": 70}, {"identifier": "Z21", "position": [2, 1], "step": 70, "ordinal_position": 71}, {"identifier": "A61", "position": [1, 1], "step": 71, "ordinal_position": 72}, {"identifier": "Y38", "position": [1, 2], "step": 72, "ordinal_position": 73}, {"identifier": "B23", "position": [1, 3], "step": 73, "ordinal_position": 74}, {"identifier": "G45", "position": [1, 4], "step": 74, "ordinal_position": 75}, {"identifier": "Y20", "position": [1, 5], "step": 75, "ordinal_position": 76}, {"identifier": "C43", "position": [2, 5], "step": 76, "ordinal_position": 77}, {"identifier": "T00", "position": [3, 5], "step": 77, "ordinal_position": 78}, {"identifier": "S04", "position": [4, 5], "step": 78, "ordinal_position": 79}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 79, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_011.json"}} {"qa_id": "fa7d05d696df41c4a5ba8c72c277c6cc", "image_id": "L3-MazeLoop-test_7x7_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y20, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 287th position in this traversal?", "start_object_id": "Y20", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [287], "ordinal_strings": ["287th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "B23", "traversal_path": [{"identifier": "Y20", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "C43", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "T00", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "S04", "position": [4, 5], "step": 3, "ordinal_position": 4}, {"identifier": "N36", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "Y56", "position": [5, 4], "step": 5, "ordinal_position": 6}, {"identifier": "Z52", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "C58", "position": [5, 2], "step": 7, "ordinal_position": 8}, {"identifier": "Q22", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "H79", "position": [4, 1], "step": 9, "ordinal_position": 10}, {"identifier": "B46", "position": [3, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Z21", "position": [2, 1], "step": 11, "ordinal_position": 12}, {"identifier": "A61", "position": [1, 1], "step": 12, "ordinal_position": 13}, {"identifier": "Y38", "position": [1, 2], "step": 13, "ordinal_position": 14}, {"identifier": "B23", "position": [1, 3], "step": 14, "ordinal_position": 15}, {"identifier": "G45", "position": [1, 4], "step": 15, "ordinal_position": 16}, {"identifier": "Y20", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "C43", "position": [2, 5], "step": 17, "ordinal_position": 18}, {"identifier": "T00", "position": [3, 5], "step": 18, "ordinal_position": 19}, {"identifier": "S04", "position": [4, 5], "step": 19, "ordinal_position": 20}, {"identifier": "N36", "position": [5, 5], "step": 20, "ordinal_position": 21}, {"identifier": "Y56", "position": [5, 4], "step": 21, "ordinal_position": 22}, {"identifier": "Z52", "position": [5, 3], "step": 22, "ordinal_position": 23}, {"identifier": "C58", "position": [5, 2], "step": 23, "ordinal_position": 24}, {"identifier": "Q22", "position": [5, 1], "step": 24, "ordinal_position": 25}, {"identifier": "H79", "position": [4, 1], "step": 25, "ordinal_position": 26}, {"identifier": "B46", "position": [3, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Z21", "position": [2, 1], "step": 27, "ordinal_position": 28}, {"identifier": "A61", "position": [1, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Y38", "position": [1, 2], "step": 29, "ordinal_position": 30}, {"identifier": "B23", "position": [1, 3], "step": 30, "ordinal_position": 31}, {"identifier": "G45", "position": [1, 4], "step": 31, "ordinal_position": 32}, {"identifier": "Y20", "position": [1, 5], "step": 32, "ordinal_position": 33}, {"identifier": "C43", "position": [2, 5], "step": 33, "ordinal_position": 34}, {"identifier": "T00", "position": [3, 5], "step": 34, "ordinal_position": 35}, {"identifier": "S04", "position": [4, 5], "step": 35, "ordinal_position": 36}, {"identifier": "N36", "position": [5, 5], "step": 36, "ordinal_position": 37}, {"identifier": "Y56", "position": [5, 4], "step": 37, "ordinal_position": 38}, {"identifier": "Z52", "position": [5, 3], "step": 38, "ordinal_position": 39}, {"identifier": "C58", "position": [5, 2], "step": 39, "ordinal_position": 40}, {"identifier": "Q22", "position": [5, 1], "step": 40, "ordinal_position": 41}, {"identifier": "H79", "position": [4, 1], "step": 41, "ordinal_position": 42}, {"identifier": "B46", "position": [3, 1], "step": 42, "ordinal_position": 43}, {"identifier": "Z21", "position": [2, 1], "step": 43, "ordinal_position": 44}, {"identifier": "A61", "position": [1, 1], "step": 44, "ordinal_position": 45}, {"identifier": "Y38", "position": [1, 2], "step": 45, "ordinal_position": 46}, {"identifier": "B23", "position": [1, 3], "step": 46, "ordinal_position": 47}, {"identifier": "G45", "position": [1, 4], "step": 47, "ordinal_position": 48}, {"identifier": "Y20", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "C43", "position": [2, 5], "step": 49, "ordinal_position": 50}, {"identifier": "T00", "position": [3, 5], "step": 50, "ordinal_position": 51}, {"identifier": "S04", "position": [4, 5], "step": 51, "ordinal_position": 52}, {"identifier": "N36", "position": [5, 5], "step": 52, "ordinal_position": 53}, {"identifier": "Y56", "position": [5, 4], "step": 53, "ordinal_position": 54}, {"identifier": "Z52", "position": [5, 3], "step": 54, "ordinal_position": 55}, {"identifier": "C58", "position": [5, 2], "step": 55, "ordinal_position": 56}, {"identifier": "Q22", "position": [5, 1], "step": 56, "ordinal_position": 57}, {"identifier": "H79", "position": [4, 1], "step": 57, "ordinal_position": 58}, {"identifier": "B46", "position": [3, 1], "step": 58, "ordinal_position": 59}, {"identifier": "Z21", "position": [2, 1], "step": 59, "ordinal_position": 60}, {"identifier": "A61", "position": [1, 1], "step": 60, "ordinal_position": 61}, {"identifier": "Y38", "position": [1, 2], "step": 61, "ordinal_position": 62}, {"identifier": "B23", "position": [1, 3], "step": 62, "ordinal_position": 63}, {"identifier": "G45", "position": [1, 4], "step": 63, "ordinal_position": 64}, {"identifier": "Y20", "position": [1, 5], "step": 64, "ordinal_position": 65}, {"identifier": "C43", "position": [2, 5], "step": 65, "ordinal_position": 66}, {"identifier": "T00", "position": [3, 5], "step": 66, "ordinal_position": 67}, {"identifier": "S04", "position": [4, 5], "step": 67, "ordinal_position": 68}, {"identifier": "N36", "position": [5, 5], "step": 68, "ordinal_position": 69}, {"identifier": "Y56", "position": [5, 4], "step": 69, "ordinal_position": 70}, {"identifier": "Z52", "position": [5, 3], "step": 70, "ordinal_position": 71}, {"identifier": "C58", "position": [5, 2], "step": 71, "ordinal_position": 72}, {"identifier": "Q22", "position": [5, 1], "step": 72, "ordinal_position": 73}, {"identifier": "H79", "position": [4, 1], "step": 73, "ordinal_position": 74}, {"identifier": "B46", "position": [3, 1], "step": 74, "ordinal_position": 75}, {"identifier": "Z21", "position": [2, 1], "step": 75, "ordinal_position": 76}, {"identifier": "A61", "position": [1, 1], "step": 76, "ordinal_position": 77}, {"identifier": "Y38", "position": [1, 2], "step": 77, "ordinal_position": 78}, {"identifier": "B23", "position": [1, 3], "step": 78, "ordinal_position": 79}, {"identifier": "G45", "position": [1, 4], "step": 79, "ordinal_position": 80}, {"identifier": "Y20", 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93}, {"identifier": "Y38", "position": [1, 2], "step": 93, "ordinal_position": 94}, {"identifier": "B23", "position": [1, 3], "step": 94, "ordinal_position": 95}, {"identifier": "G45", "position": [1, 4], "step": 95, "ordinal_position": 96}, {"identifier": "Y20", "position": [1, 5], "step": 96, "ordinal_position": 97}, {"identifier": "C43", "position": [2, 5], "step": 97, "ordinal_position": 98}, {"identifier": "T00", "position": [3, 5], "step": 98, "ordinal_position": 99}, {"identifier": "S04", "position": [4, 5], "step": 99, "ordinal_position": 100}, {"identifier": "N36", "position": [5, 5], "step": 100, "ordinal_position": 101}, {"identifier": "Y56", "position": [5, 4], "step": 101, "ordinal_position": 102}, {"identifier": "Z52", "position": [5, 3], "step": 102, "ordinal_position": 103}, {"identifier": "C58", "position": [5, 2], "step": 103, "ordinal_position": 104}, {"identifier": "Q22", "position": [5, 1], "step": 104, "ordinal_position": 105}, {"identifier": "H79", "position": 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"ordinal_position": 118}, {"identifier": "Z52", "position": [5, 3], "step": 118, "ordinal_position": 119}, {"identifier": "C58", "position": [5, 2], "step": 119, "ordinal_position": 120}, {"identifier": "Q22", "position": [5, 1], "step": 120, "ordinal_position": 121}, {"identifier": "H79", "position": [4, 1], "step": 121, "ordinal_position": 122}, {"identifier": "B46", "position": [3, 1], "step": 122, "ordinal_position": 123}, {"identifier": "Z21", "position": [2, 1], "step": 123, "ordinal_position": 124}, {"identifier": "A61", "position": [1, 1], "step": 124, "ordinal_position": 125}, {"identifier": "Y38", "position": [1, 2], "step": 125, "ordinal_position": 126}, {"identifier": "B23", "position": [1, 3], "step": 126, "ordinal_position": 127}, {"identifier": "G45", "position": [1, 4], "step": 127, "ordinal_position": 128}, {"identifier": "Y20", "position": [1, 5], "step": 128, "ordinal_position": 129}, {"identifier": "C43", "position": [2, 5], "step": 129, "ordinal_position": 130}, {"identifier": "T00", "position": [3, 5], "step": 130, "ordinal_position": 131}, {"identifier": "S04", "position": [4, 5], "step": 131, "ordinal_position": 132}, {"identifier": "N36", "position": [5, 5], "step": 132, "ordinal_position": 133}, {"identifier": "Y56", "position": [5, 4], "step": 133, "ordinal_position": 134}, {"identifier": "Z52", "position": [5, 3], "step": 134, "ordinal_position": 135}, {"identifier": "C58", "position": [5, 2], "step": 135, "ordinal_position": 136}, {"identifier": "Q22", "position": [5, 1], "step": 136, "ordinal_position": 137}, {"identifier": "H79", "position": [4, 1], "step": 137, "ordinal_position": 138}, {"identifier": "B46", "position": [3, 1], "step": 138, "ordinal_position": 139}, {"identifier": "Z21", "position": [2, 1], "step": 139, "ordinal_position": 140}, {"identifier": "A61", "position": [1, 1], "step": 140, "ordinal_position": 141}, {"identifier": "Y38", "position": [1, 2], "step": 141, "ordinal_position": 142}, {"identifier": "B23", "position": [1, 3], "step": 142, "ordinal_position": 143}, {"identifier": "G45", "position": [1, 4], "step": 143, "ordinal_position": 144}, {"identifier": "Y20", "position": [1, 5], "step": 144, "ordinal_position": 145}, {"identifier": "C43", "position": [2, 5], "step": 145, "ordinal_position": 146}, {"identifier": "T00", "position": [3, 5], "step": 146, "ordinal_position": 147}, {"identifier": "S04", "position": [4, 5], "step": 147, "ordinal_position": 148}, {"identifier": "N36", "position": [5, 5], "step": 148, "ordinal_position": 149}, {"identifier": "Y56", "position": [5, 4], "step": 149, "ordinal_position": 150}, {"identifier": "Z52", "position": [5, 3], "step": 150, "ordinal_position": 151}, {"identifier": "C58", "position": [5, 2], "step": 151, "ordinal_position": 152}, {"identifier": "Q22", "position": [5, 1], "step": 152, "ordinal_position": 153}, {"identifier": "H79", "position": [4, 1], "step": 153, "ordinal_position": 154}, {"identifier": "B46", "position": [3, 1], "step": 154, "ordinal_position": 155}, {"identifier": "Z21", "position": [2, 1], "step": 155, "ordinal_position": 156}, {"identifier": "A61", "position": [1, 1], "step": 156, "ordinal_position": 157}, {"identifier": "Y38", "position": [1, 2], "step": 157, "ordinal_position": 158}, {"identifier": "B23", "position": [1, 3], "step": 158, "ordinal_position": 159}, {"identifier": "G45", "position": [1, 4], "step": 159, "ordinal_position": 160}, {"identifier": "Y20", "position": [1, 5], "step": 160, "ordinal_position": 161}, {"identifier": "C43", "position": [2, 5], "step": 161, "ordinal_position": 162}, {"identifier": "T00", "position": [3, 5], "step": 162, "ordinal_position": 163}, {"identifier": "S04", "position": [4, 5], "step": 163, "ordinal_position": 164}, {"identifier": "N36", "position": [5, 5], "step": 164, "ordinal_position": 165}, {"identifier": "Y56", "position": [5, 4], "step": 165, "ordinal_position": 166}, {"identifier": "Z52", "position": [5, 3], "step": 166, "ordinal_position": 167}, {"identifier": "C58", "position": [5, 2], "step": 167, "ordinal_position": 168}, {"identifier": "Q22", "position": [5, 1], "step": 168, "ordinal_position": 169}, {"identifier": "H79", "position": [4, 1], "step": 169, "ordinal_position": 170}, {"identifier": "B46", "position": [3, 1], "step": 170, "ordinal_position": 171}, {"identifier": "Z21", "position": [2, 1], "step": 171, "ordinal_position": 172}, {"identifier": "A61", "position": [1, 1], "step": 172, "ordinal_position": 173}, {"identifier": "Y38", "position": [1, 2], "step": 173, "ordinal_position": 174}, {"identifier": "B23", "position": [1, 3], "step": 174, "ordinal_position": 175}, {"identifier": "G45", "position": [1, 4], "step": 175, "ordinal_position": 176}, {"identifier": "Y20", "position": [1, 5], "step": 176, "ordinal_position": 177}, {"identifier": "C43", "position": [2, 5], "step": 177, "ordinal_position": 178}, {"identifier": "T00", "position": [3, 5], "step": 178, "ordinal_position": 179}, {"identifier": "S04", 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191, "ordinal_position": 192}, {"identifier": "Y20", "position": [1, 5], "step": 192, "ordinal_position": 193}, {"identifier": "C43", "position": [2, 5], "step": 193, "ordinal_position": 194}, {"identifier": "T00", "position": [3, 5], "step": 194, "ordinal_position": 195}, {"identifier": "S04", "position": [4, 5], "step": 195, "ordinal_position": 196}, {"identifier": "N36", "position": [5, 5], "step": 196, "ordinal_position": 197}, {"identifier": "Y56", "position": [5, 4], "step": 197, "ordinal_position": 198}, {"identifier": "Z52", "position": [5, 3], "step": 198, "ordinal_position": 199}, {"identifier": "C58", "position": [5, 2], "step": 199, "ordinal_position": 200}, {"identifier": "Q22", "position": [5, 1], "step": 200, "ordinal_position": 201}, {"identifier": "H79", "position": [4, 1], "step": 201, "ordinal_position": 202}, {"identifier": "B46", "position": [3, 1], "step": 202, "ordinal_position": 203}, {"identifier": "Z21", "position": [2, 1], "step": 203, "ordinal_position": 204}, {"identifier": "A61", "position": [1, 1], "step": 204, "ordinal_position": 205}, {"identifier": "Y38", "position": [1, 2], "step": 205, "ordinal_position": 206}, {"identifier": "B23", "position": [1, 3], "step": 206, "ordinal_position": 207}, {"identifier": "G45", "position": [1, 4], "step": 207, "ordinal_position": 208}, {"identifier": "Y20", "position": [1, 5], "step": 208, "ordinal_position": 209}, {"identifier": "C43", "position": [2, 5], "step": 209, "ordinal_position": 210}, {"identifier": "T00", "position": [3, 5], "step": 210, "ordinal_position": 211}, {"identifier": "S04", "position": [4, 5], "step": 211, "ordinal_position": 212}, {"identifier": "N36", "position": [5, 5], "step": 212, "ordinal_position": 213}, {"identifier": "Y56", "position": [5, 4], "step": 213, "ordinal_position": 214}, {"identifier": "Z52", "position": [5, 3], "step": 214, "ordinal_position": 215}, {"identifier": "C58", "position": [5, 2], "step": 215, "ordinal_position": 216}, {"identifier": "Q22", "position": [5, 1], "step": 216, "ordinal_position": 217}, {"identifier": "H79", "position": [4, 1], "step": 217, "ordinal_position": 218}, {"identifier": "B46", "position": [3, 1], "step": 218, "ordinal_position": 219}, {"identifier": "Z21", "position": [2, 1], "step": 219, "ordinal_position": 220}, {"identifier": "A61", "position": [1, 1], "step": 220, "ordinal_position": 221}, {"identifier": "Y38", "position": [1, 2], "step": 221, "ordinal_position": 222}, {"identifier": "B23", "position": [1, 3], "step": 222, "ordinal_position": 223}, {"identifier": "G45", "position": [1, 4], "step": 223, "ordinal_position": 224}, {"identifier": "Y20", "position": [1, 5], "step": 224, "ordinal_position": 225}, {"identifier": "C43", "position": [2, 5], "step": 225, "ordinal_position": 226}, {"identifier": "T00", "position": [3, 5], "step": 226, "ordinal_position": 227}, {"identifier": "S04", "position": [4, 5], "step": 227, "ordinal_position": 228}, {"identifier": "N36", "position": [5, 5], "step": 228, "ordinal_position": 229}, {"identifier": "Y56", "position": [5, 4], "step": 229, "ordinal_position": 230}, {"identifier": "Z52", "position": [5, 3], "step": 230, "ordinal_position": 231}, {"identifier": "C58", "position": [5, 2], "step": 231, "ordinal_position": 232}, {"identifier": "Q22", "position": [5, 1], "step": 232, "ordinal_position": 233}, {"identifier": "H79", "position": [4, 1], "step": 233, "ordinal_position": 234}, {"identifier": "B46", "position": [3, 1], "step": 234, "ordinal_position": 235}, {"identifier": "Z21", "position": [2, 1], "step": 235, "ordinal_position": 236}, {"identifier": "A61", "position": [1, 1], "step": 236, "ordinal_position": 237}, {"identifier": "Y38", "position": [1, 2], "step": 237, "ordinal_position": 238}, {"identifier": "B23", "position": [1, 3], "step": 238, "ordinal_position": 239}, {"identifier": "G45", "position": [1, 4], "step": 239, "ordinal_position": 240}, {"identifier": "Y20", "position": [1, 5], "step": 240, "ordinal_position": 241}, {"identifier": "C43", "position": [2, 5], "step": 241, "ordinal_position": 242}, {"identifier": "T00", "position": [3, 5], "step": 242, "ordinal_position": 243}, {"identifier": "S04", "position": [4, 5], "step": 243, "ordinal_position": 244}, {"identifier": "N36", "position": [5, 5], "step": 244, "ordinal_position": 245}, {"identifier": "Y56", "position": [5, 4], "step": 245, "ordinal_position": 246}, {"identifier": "Z52", "position": [5, 3], "step": 246, "ordinal_position": 247}, {"identifier": "C58", "position": [5, 2], "step": 247, "ordinal_position": 248}, {"identifier": "Q22", "position": [5, 1], "step": 248, "ordinal_position": 249}, {"identifier": "H79", "position": [4, 1], "step": 249, "ordinal_position": 250}, {"identifier": "B46", "position": [3, 1], "step": 250, "ordinal_position": 251}, {"identifier": "Z21", "position": [2, 1], "step": 251, "ordinal_position": 252}, {"identifier": "A61", "position": [1, 1], "step": 252, "ordinal_position": 253}, {"identifier": "Y38", "position": [1, 2], "step": 253, "ordinal_position": 254}, {"identifier": "B23", "position": [1, 3], "step": 254, "ordinal_position": 255}, {"identifier": "G45", "position": [1, 4], "step": 255, "ordinal_position": 256}, {"identifier": "Y20", "position": [1, 5], "step": 256, "ordinal_position": 257}, {"identifier": "C43", "position": [2, 5], "step": 257, "ordinal_position": 258}, {"identifier": "T00", "position": [3, 5], "step": 258, "ordinal_position": 259}, {"identifier": "S04", "position": [4, 5], "step": 259, "ordinal_position": 260}, {"identifier": "N36", "position": [5, 5], "step": 260, "ordinal_position": 261}, {"identifier": "Y56", "position": [5, 4], "step": 261, "ordinal_position": 262}, {"identifier": "Z52", "position": [5, 3], "step": 262, "ordinal_position": 263}, {"identifier": "C58", "position": [5, 2], "step": 263, "ordinal_position": 264}, {"identifier": "Q22", "position": [5, 1], "step": 264, "ordinal_position": 265}, {"identifier": "H79", "position": [4, 1], "step": 265, "ordinal_position": 266}, {"identifier": "B46", "position": [3, 1], "step": 266, "ordinal_position": 267}, {"identifier": "Z21", "position": [2, 1], "step": 267, "ordinal_position": 268}, {"identifier": "A61", "position": [1, 1], "step": 268, "ordinal_position": 269}, {"identifier": "Y38", "position": [1, 2], "step": 269, "ordinal_position": 270}, {"identifier": "B23", "position": [1, 3], "step": 270, "ordinal_position": 271}, {"identifier": "G45", "position": [1, 4], "step": 271, "ordinal_position": 272}, {"identifier": "Y20", "position": [1, 5], "step": 272, "ordinal_position": 273}, {"identifier": "C43", "position": [2, 5], "step": 273, "ordinal_position": 274}, {"identifier": "T00", "position": [3, 5], "step": 274, "ordinal_position": 275}, {"identifier": "S04", "position": [4, 5], "step": 275, "ordinal_position": 276}, {"identifier": "N36", "position": [5, 5], "step": 276, "ordinal_position": 277}, {"identifier": "Y56", "position": [5, 4], "step": 277, "ordinal_position": 278}, {"identifier": "Z52", "position": [5, 3], "step": 278, "ordinal_position": 279}, {"identifier": "C58", "position": [5, 2], "step": 279, "ordinal_position": 280}, {"identifier": "Q22", "position": [5, 1], "step": 280, "ordinal_position": 281}, {"identifier": "H79", "position": [4, 1], "step": 281, "ordinal_position": 282}, {"identifier": "B46", "position": [3, 1], "step": 282, "ordinal_position": 283}, {"identifier": "Z21", "position": [2, 1], "step": 283, "ordinal_position": 284}, {"identifier": "A61", "position": [1, 1], "step": 284, "ordinal_position": 285}, {"identifier": "Y38", "position": [1, 2], "step": 285, "ordinal_position": 286}, {"identifier": "B23", "position": [1, 3], "step": 286, "ordinal_position": 287}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 287, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_011.json"}} {"qa_id": "8751664c9c9a4e349e0b34dd77525750", "image_id": "L3-MazeLoop-test_7x7_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B23, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 262nd position in this traversal?", "start_object_id": "B23", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [262], "ordinal_strings": ["262nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "S04", "traversal_path": [{"identifier": "B23", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "G45", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "Y20", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "C43", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "T00", "position": [3, 5], "step": 4, "ordinal_position": 5}, {"identifier": "S04", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "N36", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "Y56", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "Z52", "position": [5, 3], "step": 8, "ordinal_position": 9}, {"identifier": "C58", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "Q22", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "H79", "position": [4, 1], "step": 11, "ordinal_position": 12}, {"identifier": "B46", "position": [3, 1], "step": 12, "ordinal_position": 13}, {"identifier": "Z21", "position": [2, 1], "step": 13, "ordinal_position": 14}, {"identifier": "A61", "position": [1, 1], "step": 14, "ordinal_position": 15}, {"identifier": "Y38", "position": [1, 2], "step": 15, "ordinal_position": 16}, {"identifier": "B23", "position": [1, 3], "step": 16, "ordinal_position": 17}, {"identifier": "G45", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "Y20", "position": [1, 5], "step": 18, "ordinal_position": 19}, {"identifier": "C43", "position": [2, 5], "step": 19, "ordinal_position": 20}, {"identifier": "T00", "position": [3, 5], "step": 20, "ordinal_position": 21}, {"identifier": "S04", "position": [4, 5], "step": 21, "ordinal_position": 22}, {"identifier": "N36", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "Y56", "position": [5, 4], "step": 23, "ordinal_position": 24}, {"identifier": "Z52", "position": [5, 3], "step": 24, "ordinal_position": 25}, {"identifier": "C58", "position": [5, 2], "step": 25, "ordinal_position": 26}, {"identifier": "Q22", "position": [5, 1], "step": 26, "ordinal_position": 27}, {"identifier": "H79", "position": [4, 1], "step": 27, "ordinal_position": 28}, {"identifier": "B46", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Z21", "position": [2, 1], "step": 29, "ordinal_position": 30}, {"identifier": "A61", "position": [1, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Y38", "position": [1, 2], "step": 31, "ordinal_position": 32}, {"identifier": "B23", "position": [1, 3], "step": 32, "ordinal_position": 33}, {"identifier": "G45", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "Y20", "position": [1, 5], "step": 34, "ordinal_position": 35}, {"identifier": "C43", "position": [2, 5], "step": 35, "ordinal_position": 36}, {"identifier": "T00", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "S04", "position": [4, 5], "step": 37, "ordinal_position": 38}, {"identifier": "N36", "position": [5, 5], "step": 38, "ordinal_position": 39}, {"identifier": "Y56", "position": [5, 4], "step": 39, "ordinal_position": 40}, {"identifier": "Z52", "position": [5, 3], "step": 40, "ordinal_position": 41}, {"identifier": "C58", "position": [5, 2], "step": 41, "ordinal_position": 42}, {"identifier": "Q22", "position": [5, 1], "step": 42, "ordinal_position": 43}, {"identifier": "H79", "position": [4, 1], "step": 43, "ordinal_position": 44}, {"identifier": "B46", "position": [3, 1], "step": 44, "ordinal_position": 45}, {"identifier": "Z21", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "A61", "position": [1, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Y38", "position": [1, 2], "step": 47, "ordinal_position": 48}, {"identifier": "B23", "position": [1, 3], "step": 48, "ordinal_position": 49}, {"identifier": "G45", "position": [1, 4], "step": 49, "ordinal_position": 50}, {"identifier": "Y20", "position": [1, 5], "step": 50, "ordinal_position": 51}, {"identifier": "C43", "position": [2, 5], "step": 51, "ordinal_position": 52}, {"identifier": "T00", "position": [3, 5], "step": 52, "ordinal_position": 53}, {"identifier": "S04", "position": [4, 5], "step": 53, "ordinal_position": 54}, {"identifier": "N36", "position": [5, 5], "step": 54, "ordinal_position": 55}, {"identifier": "Y56", "position": [5, 4], "step": 55, "ordinal_position": 56}, {"identifier": "Z52", "position": [5, 3], "step": 56, "ordinal_position": 57}, {"identifier": "C58", "position": [5, 2], "step": 57, "ordinal_position": 58}, {"identifier": "Q22", "position": [5, 1], "step": 58, "ordinal_position": 59}, {"identifier": "H79", "position": [4, 1], "step": 59, "ordinal_position": 60}, {"identifier": "B46", "position": [3, 1], "step": 60, "ordinal_position": 61}, {"identifier": "Z21", "position": [2, 1], "step": 61, "ordinal_position": 62}, {"identifier": "A61", "position": [1, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Y38", "position": [1, 2], "step": 63, "ordinal_position": 64}, {"identifier": "B23", "position": [1, 3], "step": 64, "ordinal_position": 65}, {"identifier": "G45", "position": [1, 4], "step": 65, "ordinal_position": 66}, {"identifier": "Y20", "position": [1, 5], "step": 66, "ordinal_position": 67}, {"identifier": "C43", "position": [2, 5], "step": 67, "ordinal_position": 68}, {"identifier": "T00", "position": [3, 5], "step": 68, "ordinal_position": 69}, {"identifier": "S04", "position": [4, 5], "step": 69, "ordinal_position": 70}, {"identifier": "N36", "position": [5, 5], "step": 70, "ordinal_position": 71}, {"identifier": "Y56", "position": [5, 4], "step": 71, "ordinal_position": 72}, {"identifier": "Z52", "position": [5, 3], "step": 72, "ordinal_position": 73}, {"identifier": "C58", "position": [5, 2], "step": 73, "ordinal_position": 74}, {"identifier": "Q22", "position": [5, 1], "step": 74, "ordinal_position": 75}, {"identifier": "H79", "position": [4, 1], "step": 75, "ordinal_position": 76}, {"identifier": "B46", "position": [3, 1], "step": 76, "ordinal_position": 77}, {"identifier": "Z21", "position": [2, 1], "step": 77, "ordinal_position": 78}, {"identifier": "A61", "position": [1, 1], "step": 78, "ordinal_position": 79}, {"identifier": "Y38", "position": [1, 2], "step": 79, "ordinal_position": 80}, {"identifier": "B23", "position": [1, 3], "step": 80, "ordinal_position": 81}, {"identifier": "G45", "position": [1, 4], "step": 81, "ordinal_position": 82}, {"identifier": "Y20", "position": [1, 5], "step": 82, "ordinal_position": 83}, {"identifier": "C43", "position": [2, 5], "step": 83, "ordinal_position": 84}, {"identifier": "T00", "position": [3, 5], "step": 84, "ordinal_position": 85}, {"identifier": "S04", "position": [4, 5], "step": 85, 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123}, {"identifier": "H79", "position": [4, 1], "step": 123, "ordinal_position": 124}, {"identifier": "B46", "position": [3, 1], "step": 124, "ordinal_position": 125}, {"identifier": "Z21", "position": [2, 1], "step": 125, "ordinal_position": 126}, {"identifier": "A61", "position": [1, 1], "step": 126, "ordinal_position": 127}, {"identifier": "Y38", "position": [1, 2], "step": 127, "ordinal_position": 128}, {"identifier": "B23", "position": [1, 3], "step": 128, "ordinal_position": 129}, {"identifier": "G45", "position": [1, 4], "step": 129, "ordinal_position": 130}, {"identifier": "Y20", "position": [1, 5], "step": 130, "ordinal_position": 131}, {"identifier": "C43", "position": [2, 5], "step": 131, "ordinal_position": 132}, {"identifier": "T00", "position": [3, 5], "step": 132, "ordinal_position": 133}, {"identifier": "S04", "position": [4, 5], "step": 133, "ordinal_position": 134}, {"identifier": "N36", "position": [5, 5], "step": 134, "ordinal_position": 135}, {"identifier": "Y56", "position": [5, 4], "step": 135, "ordinal_position": 136}, {"identifier": "Z52", "position": [5, 3], "step": 136, "ordinal_position": 137}, {"identifier": "C58", "position": [5, 2], "step": 137, "ordinal_position": 138}, {"identifier": "Q22", "position": [5, 1], "step": 138, "ordinal_position": 139}, {"identifier": "H79", "position": [4, 1], "step": 139, "ordinal_position": 140}, {"identifier": "B46", "position": [3, 1], "step": 140, "ordinal_position": 141}, {"identifier": "Z21", "position": [2, 1], "step": 141, "ordinal_position": 142}, {"identifier": "A61", "position": [1, 1], "step": 142, "ordinal_position": 143}, {"identifier": "Y38", "position": [1, 2], "step": 143, "ordinal_position": 144}, {"identifier": "B23", "position": [1, 3], "step": 144, "ordinal_position": 145}, {"identifier": "G45", "position": [1, 4], "step": 145, "ordinal_position": 146}, {"identifier": "Y20", "position": [1, 5], "step": 146, "ordinal_position": 147}, {"identifier": "C43", "position": [2, 5], "step": 147, "ordinal_position": 148}, {"identifier": "T00", "position": [3, 5], "step": 148, "ordinal_position": 149}, {"identifier": "S04", "position": [4, 5], "step": 149, "ordinal_position": 150}, {"identifier": "N36", "position": [5, 5], "step": 150, "ordinal_position": 151}, {"identifier": "Y56", "position": [5, 4], "step": 151, "ordinal_position": 152}, {"identifier": "Z52", "position": [5, 3], "step": 152, "ordinal_position": 153}, {"identifier": "C58", "position": [5, 2], "step": 153, "ordinal_position": 154}, {"identifier": "Q22", "position": [5, 1], "step": 154, "ordinal_position": 155}, {"identifier": "H79", "position": [4, 1], "step": 155, "ordinal_position": 156}, {"identifier": "B46", "position": [3, 1], "step": 156, "ordinal_position": 157}, {"identifier": "Z21", "position": [2, 1], "step": 157, "ordinal_position": 158}, {"identifier": "A61", "position": [1, 1], "step": 158, "ordinal_position": 159}, {"identifier": "Y38", "position": [1, 2], "step": 159, "ordinal_position": 160}, {"identifier": "B23", "position": [1, 3], "step": 160, "ordinal_position": 161}, {"identifier": "G45", "position": [1, 4], "step": 161, "ordinal_position": 162}, {"identifier": "Y20", "position": [1, 5], "step": 162, "ordinal_position": 163}, {"identifier": "C43", "position": [2, 5], "step": 163, "ordinal_position": 164}, {"identifier": "T00", "position": [3, 5], "step": 164, "ordinal_position": 165}, {"identifier": "S04", "position": [4, 5], "step": 165, "ordinal_position": 166}, {"identifier": "N36", "position": [5, 5], "step": 166, "ordinal_position": 167}, {"identifier": "Y56", "position": [5, 4], "step": 167, "ordinal_position": 168}, {"identifier": "Z52", "position": [5, 3], "step": 168, "ordinal_position": 169}, {"identifier": "C58", "position": [5, 2], "step": 169, "ordinal_position": 170}, {"identifier": "Q22", "position": [5, 1], "step": 170, "ordinal_position": 171}, {"identifier": "H79", "position": [4, 1], "step": 171, "ordinal_position": 172}, {"identifier": "B46", "position": [3, 1], "step": 172, "ordinal_position": 173}, {"identifier": "Z21", "position": [2, 1], "step": 173, "ordinal_position": 174}, {"identifier": "A61", "position": [1, 1], "step": 174, "ordinal_position": 175}, {"identifier": "Y38", "position": [1, 2], "step": 175, "ordinal_position": 176}, {"identifier": "B23", "position": [1, 3], "step": 176, "ordinal_position": 177}, {"identifier": "G45", "position": [1, 4], "step": 177, "ordinal_position": 178}, {"identifier": "Y20", "position": [1, 5], "step": 178, "ordinal_position": 179}, {"identifier": "C43", "position": [2, 5], "step": 179, "ordinal_position": 180}, {"identifier": "T00", "position": [3, 5], "step": 180, "ordinal_position": 181}, {"identifier": "S04", "position": [4, 5], "step": 181, "ordinal_position": 182}, {"identifier": "N36", "position": [5, 5], "step": 182, "ordinal_position": 183}, {"identifier": "Y56", "position": [5, 4], "step": 183, "ordinal_position": 184}, {"identifier": "Z52", "position": [5, 3], "step": 184, "ordinal_position": 185}, {"identifier": "C58", "position": [5, 2], "step": 185, "ordinal_position": 186}, {"identifier": "Q22", "position": [5, 1], "step": 186, "ordinal_position": 187}, {"identifier": "H79", "position": [4, 1], "step": 187, "ordinal_position": 188}, {"identifier": "B46", "position": [3, 1], "step": 188, "ordinal_position": 189}, {"identifier": "Z21", "position": [2, 1], "step": 189, "ordinal_position": 190}, {"identifier": "A61", "position": [1, 1], "step": 190, "ordinal_position": 191}, {"identifier": "Y38", "position": [1, 2], "step": 191, "ordinal_position": 192}, {"identifier": "B23", "position": [1, 3], "step": 192, "ordinal_position": 193}, {"identifier": "G45", "position": [1, 4], "step": 193, "ordinal_position": 194}, {"identifier": "Y20", "position": [1, 5], "step": 194, "ordinal_position": 195}, {"identifier": "C43", "position": [2, 5], "step": 195, "ordinal_position": 196}, {"identifier": "T00", "position": [3, 5], "step": 196, "ordinal_position": 197}, {"identifier": "S04", "position": [4, 5], "step": 197, "ordinal_position": 198}, {"identifier": "N36", "position": [5, 5], "step": 198, "ordinal_position": 199}, {"identifier": "Y56", "position": [5, 4], "step": 199, "ordinal_position": 200}, {"identifier": "Z52", "position": [5, 3], "step": 200, "ordinal_position": 201}, {"identifier": "C58", "position": [5, 2], "step": 201, "ordinal_position": 202}, {"identifier": "Q22", "position": [5, 1], "step": 202, "ordinal_position": 203}, {"identifier": "H79", "position": [4, 1], "step": 203, "ordinal_position": 204}, {"identifier": "B46", "position": [3, 1], "step": 204, "ordinal_position": 205}, {"identifier": "Z21", "position": [2, 1], "step": 205, "ordinal_position": 206}, {"identifier": "A61", "position": [1, 1], "step": 206, "ordinal_position": 207}, {"identifier": "Y38", "position": [1, 2], "step": 207, "ordinal_position": 208}, {"identifier": "B23", "position": [1, 3], "step": 208, "ordinal_position": 209}, {"identifier": "G45", "position": [1, 4], "step": 209, "ordinal_position": 210}, {"identifier": "Y20", "position": [1, 5], "step": 210, "ordinal_position": 211}, {"identifier": "C43", "position": [2, 5], "step": 211, "ordinal_position": 212}, {"identifier": "T00", "position": [3, 5], "step": 212, "ordinal_position": 213}, {"identifier": "S04", "position": [4, 5], "step": 213, "ordinal_position": 214}, {"identifier": "N36", "position": [5, 5], "step": 214, "ordinal_position": 215}, {"identifier": "Y56", "position": [5, 4], "step": 215, "ordinal_position": 216}, {"identifier": "Z52", "position": [5, 3], "step": 216, "ordinal_position": 217}, {"identifier": "C58", "position": [5, 2], "step": 217, "ordinal_position": 218}, {"identifier": "Q22", "position": [5, 1], "step": 218, "ordinal_position": 219}, {"identifier": "H79", "position": [4, 1], "step": 219, "ordinal_position": 220}, {"identifier": "B46", "position": [3, 1], "step": 220, "ordinal_position": 221}, {"identifier": "Z21", "position": [2, 1], "step": 221, "ordinal_position": 222}, {"identifier": "A61", "position": [1, 1], "step": 222, "ordinal_position": 223}, {"identifier": "Y38", "position": [1, 2], "step": 223, "ordinal_position": 224}, {"identifier": "B23", "position": [1, 3], "step": 224, "ordinal_position": 225}, {"identifier": "G45", "position": [1, 4], "step": 225, "ordinal_position": 226}, {"identifier": "Y20", "position": [1, 5], "step": 226, "ordinal_position": 227}, {"identifier": "C43", "position": [2, 5], "step": 227, "ordinal_position": 228}, {"identifier": "T00", "position": [3, 5], "step": 228, "ordinal_position": 229}, {"identifier": "S04", "position": [4, 5], "step": 229, "ordinal_position": 230}, {"identifier": "N36", "position": [5, 5], "step": 230, "ordinal_position": 231}, {"identifier": "Y56", "position": [5, 4], "step": 231, "ordinal_position": 232}, {"identifier": "Z52", "position": [5, 3], "step": 232, "ordinal_position": 233}, {"identifier": "C58", "position": [5, 2], "step": 233, "ordinal_position": 234}, {"identifier": "Q22", "position": [5, 1], "step": 234, "ordinal_position": 235}, {"identifier": "H79", "position": [4, 1], "step": 235, "ordinal_position": 236}, {"identifier": "B46", "position": [3, 1], "step": 236, "ordinal_position": 237}, {"identifier": "Z21", "position": [2, 1], "step": 237, "ordinal_position": 238}, {"identifier": "A61", "position": [1, 1], "step": 238, "ordinal_position": 239}, {"identifier": "Y38", "position": [1, 2], "step": 239, "ordinal_position": 240}, {"identifier": "B23", "position": [1, 3], "step": 240, "ordinal_position": 241}, {"identifier": "G45", "position": [1, 4], "step": 241, "ordinal_position": 242}, {"identifier": "Y20", "position": [1, 5], "step": 242, "ordinal_position": 243}, {"identifier": "C43", "position": [2, 5], "step": 243, "ordinal_position": 244}, {"identifier": "T00", "position": [3, 5], "step": 244, "ordinal_position": 245}, {"identifier": "S04", "position": [4, 5], "step": 245, "ordinal_position": 246}, {"identifier": "N36", "position": [5, 5], "step": 246, "ordinal_position": 247}, {"identifier": "Y56", "position": [5, 4], "step": 247, "ordinal_position": 248}, {"identifier": "Z52", "position": [5, 3], "step": 248, "ordinal_position": 249}, {"identifier": "C58", "position": [5, 2], "step": 249, "ordinal_position": 250}, {"identifier": "Q22", "position": [5, 1], "step": 250, "ordinal_position": 251}, {"identifier": "H79", "position": [4, 1], "step": 251, "ordinal_position": 252}, {"identifier": "B46", "position": [3, 1], "step": 252, "ordinal_position": 253}, {"identifier": "Z21", "position": [2, 1], "step": 253, "ordinal_position": 254}, {"identifier": "A61", "position": [1, 1], "step": 254, "ordinal_position": 255}, {"identifier": "Y38", "position": [1, 2], "step": 255, "ordinal_position": 256}, {"identifier": "B23", "position": [1, 3], "step": 256, "ordinal_position": 257}, {"identifier": "G45", "position": [1, 4], "step": 257, "ordinal_position": 258}, {"identifier": "Y20", "position": [1, 5], "step": 258, "ordinal_position": 259}, {"identifier": "C43", "position": [2, 5], "step": 259, "ordinal_position": 260}, {"identifier": "T00", "position": [3, 5], "step": 260, "ordinal_position": 261}, {"identifier": "S04", "position": [4, 5], "step": 261, "ordinal_position": 262}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 262, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_011.json"}} {"qa_id": "36adb2ad380f4f48aa413afffe4d1d16", "image_id": "L3-MazeLoop-test_7x7_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H79, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 173rd position in this traversal?", "start_object_id": "H79", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [173], "ordinal_strings": ["173rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Y38", "traversal_path": [{"identifier": "H79", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Q22", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "C58", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "Z52", "position": [5, 3], "step": 3, "ordinal_position": 4}, {"identifier": "Y56", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "N36", "position": [5, 5], "step": 5, "ordinal_position": 6}, {"identifier": "S04", "position": [4, 5], "step": 6, "ordinal_position": 7}, {"identifier": "T00", "position": [3, 5], "step": 7, "ordinal_position": 8}, {"identifier": "C43", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "Y20", "position": [1, 5], "step": 9, "ordinal_position": 10}, {"identifier": "G45", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "B23", "position": [1, 3], "step": 11, "ordinal_position": 12}, {"identifier": "Y38", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "A61", "position": [1, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Z21", "position": [2, 1], "step": 14, "ordinal_position": 15}, {"identifier": "B46", "position": [3, 1], "step": 15, "ordinal_position": 16}, {"identifier": "H79", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "Q22", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "C58", "position": [5, 2], "step": 18, "ordinal_position": 19}, {"identifier": "Z52", "position": [5, 3], "step": 19, "ordinal_position": 20}, {"identifier": "Y56", "position": [5, 4], "step": 20, "ordinal_position": 21}, {"identifier": "N36", "position": [5, 5], "step": 21, "ordinal_position": 22}, {"identifier": "S04", "position": [4, 5], "step": 22, "ordinal_position": 23}, {"identifier": "T00", "position": [3, 5], "step": 23, "ordinal_position": 24}, {"identifier": "C43", "position": [2, 5], "step": 24, "ordinal_position": 25}, {"identifier": "Y20", "position": [1, 5], "step": 25, "ordinal_position": 26}, {"identifier": "G45", "position": [1, 4], "step": 26, "ordinal_position": 27}, {"identifier": "B23", "position": [1, 3], "step": 27, "ordinal_position": 28}, {"identifier": "Y38", "position": [1, 2], "step": 28, "ordinal_position": 29}, {"identifier": "A61", "position": [1, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Z21", "position": [2, 1], "step": 30, "ordinal_position": 31}, {"identifier": "B46", "position": [3, 1], "step": 31, "ordinal_position": 32}, {"identifier": "H79", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "Q22", "position": [5, 1], "step": 33, "ordinal_position": 34}, {"identifier": "C58", "position": [5, 2], "step": 34, "ordinal_position": 35}, {"identifier": "Z52", "position": [5, 3], "step": 35, "ordinal_position": 36}, {"identifier": "Y56", "position": [5, 4], "step": 36, "ordinal_position": 37}, {"identifier": "N36", "position": [5, 5], "step": 37, "ordinal_position": 38}, {"identifier": "S04", "position": [4, 5], "step": 38, "ordinal_position": 39}, {"identifier": "T00", "position": [3, 5], "step": 39, "ordinal_position": 40}, {"identifier": "C43", "position": [2, 5], "step": 40, "ordinal_position": 41}, {"identifier": "Y20", "position": [1, 5], "step": 41, "ordinal_position": 42}, {"identifier": "G45", "position": [1, 4], "step": 42, "ordinal_position": 43}, {"identifier": "B23", "position": [1, 3], "step": 43, "ordinal_position": 44}, {"identifier": "Y38", "position": [1, 2], "step": 44, "ordinal_position": 45}, {"identifier": "A61", "position": [1, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Z21", "position": [2, 1], "step": 46, "ordinal_position": 47}, {"identifier": "B46", "position": [3, 1], "step": 47, "ordinal_position": 48}, {"identifier": "H79", "position": [4, 1], "step": 48, "ordinal_position": 49}, {"identifier": "Q22", "position": [5, 1], "step": 49, "ordinal_position": 50}, {"identifier": "C58", "position": [5, 2], "step": 50, "ordinal_position": 51}, {"identifier": "Z52", "position": [5, 3], "step": 51, "ordinal_position": 52}, {"identifier": "Y56", "position": [5, 4], "step": 52, "ordinal_position": 53}, {"identifier": "N36", "position": [5, 5], "step": 53, "ordinal_position": 54}, {"identifier": "S04", "position": [4, 5], "step": 54, "ordinal_position": 55}, {"identifier": "T00", "position": [3, 5], "step": 55, "ordinal_position": 56}, {"identifier": "C43", "position": [2, 5], "step": 56, "ordinal_position": 57}, {"identifier": "Y20", "position": [1, 5], "step": 57, "ordinal_position": 58}, {"identifier": "G45", "position": [1, 4], "step": 58, "ordinal_position": 59}, {"identifier": "B23", "position": [1, 3], "step": 59, "ordinal_position": 60}, {"identifier": "Y38", "position": [1, 2], "step": 60, "ordinal_position": 61}, {"identifier": "A61", "position": [1, 1], "step": 61, "ordinal_position": 62}, {"identifier": "Z21", "position": [2, 1], "step": 62, "ordinal_position": 63}, {"identifier": "B46", "position": [3, 1], "step": 63, "ordinal_position": 64}, {"identifier": "H79", "position": [4, 1], "step": 64, "ordinal_position": 65}, {"identifier": "Q22", "position": [5, 1], "step": 65, "ordinal_position": 66}, {"identifier": "C58", "position": [5, 2], "step": 66, "ordinal_position": 67}, {"identifier": "Z52", "position": [5, 3], "step": 67, "ordinal_position": 68}, {"identifier": "Y56", "position": [5, 4], "step": 68, "ordinal_position": 69}, {"identifier": "N36", "position": [5, 5], "step": 69, "ordinal_position": 70}, {"identifier": "S04", "position": [4, 5], "step": 70, "ordinal_position": 71}, {"identifier": "T00", "position": [3, 5], "step": 71, "ordinal_position": 72}, {"identifier": "C43", "position": [2, 5], "step": 72, "ordinal_position": 73}, {"identifier": "Y20", "position": [1, 5], "step": 73, "ordinal_position": 74}, {"identifier": "G45", "position": [1, 4], "step": 74, "ordinal_position": 75}, {"identifier": "B23", "position": [1, 3], "step": 75, "ordinal_position": 76}, {"identifier": "Y38", "position": [1, 2], "step": 76, "ordinal_position": 77}, {"identifier": "A61", "position": [1, 1], "step": 77, "ordinal_position": 78}, {"identifier": "Z21", "position": [2, 1], "step": 78, "ordinal_position": 79}, {"identifier": "B46", "position": [3, 1], "step": 79, "ordinal_position": 80}, {"identifier": "H79", "position": [4, 1], "step": 80, "ordinal_position": 81}, {"identifier": "Q22", "position": [5, 1], "step": 81, "ordinal_position": 82}, {"identifier": "C58", "position": [5, 2], "step": 82, "ordinal_position": 83}, {"identifier": "Z52", "position": [5, 3], "step": 83, "ordinal_position": 84}, {"identifier": "Y56", "position": [5, 4], "step": 84, "ordinal_position": 85}, {"identifier": "N36", "position": [5, 5], "step": 85, "ordinal_position": 86}, {"identifier": "S04", "position": [4, 5], "step": 86, "ordinal_position": 87}, {"identifier": "T00", "position": [3, 5], "step": 87, "ordinal_position": 88}, {"identifier": "C43", "position": [2, 5], "step": 88, "ordinal_position": 89}, {"identifier": "Y20", "position": [1, 5], "step": 89, "ordinal_position": 90}, {"identifier": "G45", "position": [1, 4], "step": 90, "ordinal_position": 91}, {"identifier": "B23", "position": [1, 3], "step": 91, "ordinal_position": 92}, {"identifier": "Y38", "position": [1, 2], "step": 92, "ordinal_position": 93}, {"identifier": "A61", "position": [1, 1], "step": 93, "ordinal_position": 94}, {"identifier": "Z21", "position": [2, 1], "step": 94, "ordinal_position": 95}, {"identifier": "B46", "position": [3, 1], "step": 95, "ordinal_position": 96}, {"identifier": "H79", "position": [4, 1], "step": 96, "ordinal_position": 97}, {"identifier": "Q22", "position": [5, 1], "step": 97, "ordinal_position": 98}, {"identifier": "C58", "position": [5, 2], "step": 98, "ordinal_position": 99}, {"identifier": "Z52", "position": [5, 3], "step": 99, "ordinal_position": 100}, {"identifier": "Y56", "position": [5, 4], "step": 100, "ordinal_position": 101}, {"identifier": "N36", "position": [5, 5], "step": 101, "ordinal_position": 102}, {"identifier": "S04", "position": [4, 5], "step": 102, "ordinal_position": 103}, {"identifier": "T00", "position": [3, 5], "step": 103, "ordinal_position": 104}, {"identifier": "C43", "position": [2, 5], "step": 104, "ordinal_position": 105}, {"identifier": "Y20", "position": [1, 5], "step": 105, "ordinal_position": 106}, {"identifier": "G45", "position": [1, 4], "step": 106, "ordinal_position": 107}, {"identifier": "B23", "position": [1, 3], "step": 107, "ordinal_position": 108}, {"identifier": "Y38", "position": [1, 2], "step": 108, "ordinal_position": 109}, {"identifier": "A61", "position": [1, 1], "step": 109, "ordinal_position": 110}, {"identifier": "Z21", "position": [2, 1], "step": 110, "ordinal_position": 111}, {"identifier": "B46", "position": [3, 1], "step": 111, "ordinal_position": 112}, {"identifier": "H79", "position": [4, 1], "step": 112, "ordinal_position": 113}, {"identifier": "Q22", "position": [5, 1], "step": 113, "ordinal_position": 114}, {"identifier": "C58", "position": [5, 2], "step": 114, "ordinal_position": 115}, {"identifier": "Z52", "position": [5, 3], "step": 115, "ordinal_position": 116}, {"identifier": "Y56", "position": [5, 4], "step": 116, "ordinal_position": 117}, {"identifier": "N36", "position": [5, 5], "step": 117, "ordinal_position": 118}, {"identifier": "S04", "position": [4, 5], "step": 118, "ordinal_position": 119}, {"identifier": "T00", "position": [3, 5], "step": 119, "ordinal_position": 120}, {"identifier": "C43", "position": [2, 5], "step": 120, "ordinal_position": 121}, {"identifier": "Y20", "position": [1, 5], "step": 121, "ordinal_position": 122}, {"identifier": "G45", "position": [1, 4], "step": 122, "ordinal_position": 123}, {"identifier": "B23", "position": [1, 3], "step": 123, "ordinal_position": 124}, {"identifier": "Y38", "position": [1, 2], "step": 124, "ordinal_position": 125}, {"identifier": "A61", "position": [1, 1], "step": 125, "ordinal_position": 126}, {"identifier": "Z21", "position": [2, 1], "step": 126, "ordinal_position": 127}, {"identifier": "B46", "position": [3, 1], "step": 127, "ordinal_position": 128}, {"identifier": "H79", "position": [4, 1], "step": 128, "ordinal_position": 129}, {"identifier": "Q22", "position": [5, 1], "step": 129, "ordinal_position": 130}, {"identifier": "C58", "position": [5, 2], "step": 130, "ordinal_position": 131}, {"identifier": "Z52", "position": [5, 3], "step": 131, "ordinal_position": 132}, {"identifier": "Y56", "position": [5, 4], "step": 132, "ordinal_position": 133}, {"identifier": "N36", "position": [5, 5], "step": 133, "ordinal_position": 134}, {"identifier": "S04", "position": [4, 5], "step": 134, "ordinal_position": 135}, {"identifier": "T00", "position": [3, 5], "step": 135, "ordinal_position": 136}, {"identifier": "C43", "position": [2, 5], "step": 136, "ordinal_position": 137}, {"identifier": "Y20", "position": [1, 5], "step": 137, "ordinal_position": 138}, {"identifier": "G45", "position": [1, 4], "step": 138, "ordinal_position": 139}, {"identifier": "B23", "position": [1, 3], "step": 139, "ordinal_position": 140}, {"identifier": "Y38", "position": [1, 2], "step": 140, "ordinal_position": 141}, {"identifier": "A61", "position": [1, 1], "step": 141, "ordinal_position": 142}, {"identifier": "Z21", "position": [2, 1], "step": 142, "ordinal_position": 143}, {"identifier": "B46", "position": [3, 1], "step": 143, "ordinal_position": 144}, {"identifier": "H79", "position": [4, 1], "step": 144, "ordinal_position": 145}, {"identifier": "Q22", "position": [5, 1], "step": 145, "ordinal_position": 146}, {"identifier": "C58", "position": [5, 2], "step": 146, "ordinal_position": 147}, {"identifier": "Z52", "position": [5, 3], "step": 147, "ordinal_position": 148}, {"identifier": "Y56", "position": [5, 4], "step": 148, "ordinal_position": 149}, {"identifier": "N36", "position": [5, 5], "step": 149, "ordinal_position": 150}, {"identifier": "S04", "position": [4, 5], "step": 150, "ordinal_position": 151}, {"identifier": "T00", "position": [3, 5], "step": 151, "ordinal_position": 152}, {"identifier": "C43", "position": [2, 5], "step": 152, "ordinal_position": 153}, {"identifier": "Y20", "position": [1, 5], "step": 153, "ordinal_position": 154}, {"identifier": "G45", "position": [1, 4], "step": 154, "ordinal_position": 155}, {"identifier": "B23", "position": [1, 3], "step": 155, "ordinal_position": 156}, {"identifier": "Y38", "position": [1, 2], "step": 156, "ordinal_position": 157}, {"identifier": "A61", "position": [1, 1], "step": 157, "ordinal_position": 158}, {"identifier": "Z21", "position": [2, 1], "step": 158, "ordinal_position": 159}, {"identifier": "B46", "position": [3, 1], "step": 159, "ordinal_position": 160}, {"identifier": "H79", "position": [4, 1], "step": 160, "ordinal_position": 161}, {"identifier": "Q22", "position": [5, 1], "step": 161, "ordinal_position": 162}, {"identifier": "C58", "position": [5, 2], "step": 162, "ordinal_position": 163}, {"identifier": "Z52", "position": [5, 3], "step": 163, "ordinal_position": 164}, {"identifier": "Y56", "position": [5, 4], "step": 164, "ordinal_position": 165}, {"identifier": "N36", "position": [5, 5], "step": 165, "ordinal_position": 166}, {"identifier": "S04", "position": [4, 5], "step": 166, "ordinal_position": 167}, {"identifier": "T00", "position": [3, 5], "step": 167, "ordinal_position": 168}, {"identifier": "C43", "position": [2, 5], "step": 168, "ordinal_position": 169}, {"identifier": "Y20", "position": [1, 5], "step": 169, "ordinal_position": 170}, {"identifier": "G45", "position": [1, 4], "step": 170, "ordinal_position": 171}, {"identifier": "B23", "position": [1, 3], "step": 171, "ordinal_position": 172}, {"identifier": "Y38", "position": [1, 2], "step": 172, "ordinal_position": 173}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 173, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_011.json"}} {"qa_id": "26ca76dd9d124bc99408c97dbb32467a", "image_id": "L3-MazeLoop-test_7x7_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T00, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 116th position in this traversal?", "start_object_id": "T00", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [116], "ordinal_strings": ["116th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Y56", "traversal_path": [{"identifier": "T00", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "S04", "position": [4, 5], "step": 1, "ordinal_position": 2}, {"identifier": "N36", "position": [5, 5], "step": 2, "ordinal_position": 3}, {"identifier": "Y56", "position": [5, 4], "step": 3, "ordinal_position": 4}, {"identifier": "Z52", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "C58", "position": [5, 2], "step": 5, "ordinal_position": 6}, {"identifier": "Q22", "position": [5, 1], "step": 6, "ordinal_position": 7}, {"identifier": "H79", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "B46", "position": [3, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Z21", "position": [2, 1], "step": 9, "ordinal_position": 10}, {"identifier": "A61", "position": [1, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Y38", "position": [1, 2], "step": 11, "ordinal_position": 12}, {"identifier": "B23", "position": [1, 3], "step": 12, "ordinal_position": 13}, {"identifier": "G45", "position": [1, 4], "step": 13, "ordinal_position": 14}, {"identifier": "Y20", "position": [1, 5], "step": 14, "ordinal_position": 15}, {"identifier": "C43", "position": [2, 5], "step": 15, "ordinal_position": 16}, {"identifier": "T00", "position": [3, 5], "step": 16, "ordinal_position": 17}, {"identifier": "S04", "position": [4, 5], "step": 17, "ordinal_position": 18}, {"identifier": "N36", "position": [5, 5], "step": 18, "ordinal_position": 19}, {"identifier": "Y56", "position": [5, 4], "step": 19, "ordinal_position": 20}, {"identifier": "Z52", "position": [5, 3], "step": 20, "ordinal_position": 21}, {"identifier": "C58", "position": [5, 2], "step": 21, "ordinal_position": 22}, {"identifier": "Q22", "position": [5, 1], "step": 22, "ordinal_position": 23}, {"identifier": "H79", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "B46", "position": [3, 1], "step": 24, "ordinal_position": 25}, {"identifier": "Z21", "position": [2, 1], "step": 25, "ordinal_position": 26}, {"identifier": "A61", "position": [1, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Y38", "position": [1, 2], "step": 27, "ordinal_position": 28}, {"identifier": "B23", "position": [1, 3], "step": 28, "ordinal_position": 29}, {"identifier": "G45", "position": [1, 4], "step": 29, "ordinal_position": 30}, {"identifier": "Y20", "position": [1, 5], "step": 30, "ordinal_position": 31}, {"identifier": "C43", "position": [2, 5], "step": 31, "ordinal_position": 32}, {"identifier": "T00", "position": [3, 5], "step": 32, "ordinal_position": 33}, {"identifier": "S04", "position": [4, 5], "step": 33, "ordinal_position": 34}, {"identifier": "N36", "position": [5, 5], "step": 34, "ordinal_position": 35}, {"identifier": "Y56", "position": [5, 4], "step": 35, "ordinal_position": 36}, {"identifier": "Z52", "position": [5, 3], "step": 36, "ordinal_position": 37}, {"identifier": "C58", "position": [5, 2], "step": 37, "ordinal_position": 38}, {"identifier": "Q22", "position": [5, 1], "step": 38, "ordinal_position": 39}, {"identifier": "H79", "position": [4, 1], "step": 39, "ordinal_position": 40}, {"identifier": "B46", "position": [3, 1], "step": 40, "ordinal_position": 41}, {"identifier": "Z21", "position": [2, 1], "step": 41, "ordinal_position": 42}, {"identifier": "A61", "position": [1, 1], "step": 42, "ordinal_position": 43}, {"identifier": "Y38", "position": [1, 2], "step": 43, "ordinal_position": 44}, {"identifier": "B23", "position": [1, 3], "step": 44, "ordinal_position": 45}, {"identifier": "G45", "position": [1, 4], "step": 45, "ordinal_position": 46}, {"identifier": "Y20", "position": [1, 5], "step": 46, "ordinal_position": 47}, {"identifier": "C43", "position": [2, 5], "step": 47, "ordinal_position": 48}, {"identifier": "T00", "position": [3, 5], "step": 48, "ordinal_position": 49}, {"identifier": "S04", "position": [4, 5], "step": 49, "ordinal_position": 50}, {"identifier": "N36", "position": [5, 5], "step": 50, "ordinal_position": 51}, {"identifier": "Y56", "position": [5, 4], "step": 51, "ordinal_position": 52}, {"identifier": "Z52", "position": [5, 3], "step": 52, "ordinal_position": 53}, {"identifier": "C58", "position": [5, 2], "step": 53, "ordinal_position": 54}, {"identifier": "Q22", "position": [5, 1], "step": 54, "ordinal_position": 55}, {"identifier": "H79", "position": [4, 1], "step": 55, "ordinal_position": 56}, {"identifier": "B46", "position": [3, 1], "step": 56, "ordinal_position": 57}, {"identifier": "Z21", "position": [2, 1], "step": 57, "ordinal_position": 58}, {"identifier": "A61", "position": [1, 1], "step": 58, "ordinal_position": 59}, {"identifier": "Y38", "position": [1, 2], "step": 59, "ordinal_position": 60}, {"identifier": "B23", "position": [1, 3], "step": 60, "ordinal_position": 61}, {"identifier": "G45", "position": [1, 4], "step": 61, "ordinal_position": 62}, {"identifier": "Y20", "position": [1, 5], "step": 62, "ordinal_position": 63}, {"identifier": "C43", "position": [2, 5], "step": 63, "ordinal_position": 64}, {"identifier": "T00", "position": [3, 5], "step": 64, "ordinal_position": 65}, {"identifier": "S04", "position": [4, 5], "step": 65, "ordinal_position": 66}, {"identifier": "N36", "position": [5, 5], "step": 66, "ordinal_position": 67}, {"identifier": "Y56", "position": [5, 4], "step": 67, "ordinal_position": 68}, {"identifier": "Z52", "position": [5, 3], "step": 68, "ordinal_position": 69}, {"identifier": "C58", "position": [5, 2], "step": 69, "ordinal_position": 70}, {"identifier": "Q22", "position": [5, 1], "step": 70, "ordinal_position": 71}, {"identifier": "H79", "position": [4, 1], "step": 71, "ordinal_position": 72}, {"identifier": "B46", "position": [3, 1], "step": 72, "ordinal_position": 73}, {"identifier": "Z21", "position": [2, 1], "step": 73, "ordinal_position": 74}, {"identifier": "A61", "position": [1, 1], "step": 74, "ordinal_position": 75}, {"identifier": "Y38", "position": [1, 2], "step": 75, "ordinal_position": 76}, {"identifier": "B23", "position": [1, 3], "step": 76, "ordinal_position": 77}, {"identifier": "G45", "position": [1, 4], "step": 77, "ordinal_position": 78}, {"identifier": "Y20", "position": [1, 5], "step": 78, "ordinal_position": 79}, {"identifier": "C43", "position": [2, 5], "step": 79, "ordinal_position": 80}, {"identifier": "T00", "position": [3, 5], "step": 80, "ordinal_position": 81}, {"identifier": "S04", "position": [4, 5], "step": 81, "ordinal_position": 82}, {"identifier": "N36", "position": [5, 5], "step": 82, "ordinal_position": 83}, {"identifier": "Y56", "position": [5, 4], "step": 83, "ordinal_position": 84}, {"identifier": "Z52", "position": [5, 3], "step": 84, "ordinal_position": 85}, {"identifier": "C58", "position": [5, 2], "step": 85, "ordinal_position": 86}, {"identifier": "Q22", "position": [5, 1], "step": 86, "ordinal_position": 87}, {"identifier": "H79", "position": [4, 1], "step": 87, "ordinal_position": 88}, {"identifier": "B46", "position": [3, 1], "step": 88, "ordinal_position": 89}, {"identifier": "Z21", "position": [2, 1], "step": 89, "ordinal_position": 90}, {"identifier": "A61", "position": [1, 1], "step": 90, "ordinal_position": 91}, {"identifier": "Y38", "position": [1, 2], "step": 91, "ordinal_position": 92}, {"identifier": "B23", "position": [1, 3], "step": 92, "ordinal_position": 93}, {"identifier": "G45", "position": [1, 4], "step": 93, "ordinal_position": 94}, {"identifier": "Y20", "position": [1, 5], "step": 94, "ordinal_position": 95}, {"identifier": "C43", "position": [2, 5], "step": 95, "ordinal_position": 96}, {"identifier": "T00", "position": [3, 5], "step": 96, "ordinal_position": 97}, {"identifier": "S04", "position": [4, 5], "step": 97, "ordinal_position": 98}, {"identifier": "N36", "position": [5, 5], "step": 98, "ordinal_position": 99}, {"identifier": "Y56", "position": [5, 4], "step": 99, "ordinal_position": 100}, {"identifier": "Z52", "position": [5, 3], "step": 100, "ordinal_position": 101}, {"identifier": "C58", "position": [5, 2], "step": 101, "ordinal_position": 102}, {"identifier": "Q22", "position": [5, 1], "step": 102, "ordinal_position": 103}, {"identifier": "H79", "position": [4, 1], "step": 103, "ordinal_position": 104}, {"identifier": "B46", "position": [3, 1], "step": 104, "ordinal_position": 105}, {"identifier": "Z21", "position": [2, 1], "step": 105, "ordinal_position": 106}, {"identifier": "A61", "position": [1, 1], "step": 106, "ordinal_position": 107}, {"identifier": "Y38", "position": [1, 2], "step": 107, "ordinal_position": 108}, {"identifier": "B23", "position": [1, 3], "step": 108, "ordinal_position": 109}, {"identifier": "G45", "position": [1, 4], "step": 109, "ordinal_position": 110}, {"identifier": "Y20", "position": [1, 5], "step": 110, "ordinal_position": 111}, {"identifier": "C43", "position": [2, 5], "step": 111, "ordinal_position": 112}, {"identifier": "T00", "position": [3, 5], "step": 112, "ordinal_position": 113}, {"identifier": "S04", "position": [4, 5], "step": 113, "ordinal_position": 114}, {"identifier": "N36", "position": [5, 5], "step": 114, "ordinal_position": 115}, {"identifier": "Y56", "position": [5, 4], "step": 115, "ordinal_position": 116}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 116, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_011.json"}} {"qa_id": "6a7bd7344b184ee5af2e51ef113ab09e", "image_id": "L3-MazeLoop-test_7x7_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C58, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 166th position in this traversal?", "start_object_id": "C58", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [166], "ordinal_strings": ["166th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "T00", "traversal_path": [{"identifier": "C58", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "Z52", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "Y56", "position": [5, 4], "step": 2, "ordinal_position": 3}, {"identifier": "N36", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "S04", "position": [4, 5], "step": 4, "ordinal_position": 5}, {"identifier": "T00", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "C43", "position": [2, 5], "step": 6, "ordinal_position": 7}, {"identifier": "Y20", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "G45", "position": [1, 4], "step": 8, "ordinal_position": 9}, {"identifier": "B23", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "Y38", "position": [1, 2], "step": 10, "ordinal_position": 11}, {"identifier": "A61", "position": [1, 1], "step": 11, "ordinal_position": 12}, {"identifier": "Z21", "position": [2, 1], "step": 12, "ordinal_position": 13}, {"identifier": "B46", "position": [3, 1], "step": 13, "ordinal_position": 14}, {"identifier": "H79", "position": [4, 1], "step": 14, "ordinal_position": 15}, {"identifier": "Q22", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "C58", "position": [5, 2], "step": 16, "ordinal_position": 17}, {"identifier": "Z52", "position": [5, 3], "step": 17, "ordinal_position": 18}, {"identifier": "Y56", "position": [5, 4], "step": 18, "ordinal_position": 19}, {"identifier": "N36", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "S04", "position": [4, 5], "step": 20, "ordinal_position": 21}, {"identifier": "T00", "position": [3, 5], "step": 21, "ordinal_position": 22}, {"identifier": "C43", "position": [2, 5], "step": 22, "ordinal_position": 23}, {"identifier": "Y20", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "G45", "position": [1, 4], "step": 24, "ordinal_position": 25}, {"identifier": "B23", "position": [1, 3], "step": 25, "ordinal_position": 26}, {"identifier": "Y38", "position": [1, 2], "step": 26, "ordinal_position": 27}, {"identifier": "A61", "position": [1, 1], "step": 27, "ordinal_position": 28}, {"identifier": "Z21", "position": [2, 1], "step": 28, "ordinal_position": 29}, {"identifier": "B46", "position": [3, 1], "step": 29, "ordinal_position": 30}, {"identifier": "H79", "position": [4, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Q22", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "C58", "position": [5, 2], "step": 32, "ordinal_position": 33}, {"identifier": "Z52", "position": [5, 3], "step": 33, "ordinal_position": 34}, {"identifier": "Y56", "position": [5, 4], "step": 34, "ordinal_position": 35}, {"identifier": "N36", "position": [5, 5], "step": 35, "ordinal_position": 36}, {"identifier": "S04", "position": [4, 5], "step": 36, "ordinal_position": 37}, {"identifier": "T00", "position": [3, 5], "step": 37, "ordinal_position": 38}, {"identifier": "C43", "position": [2, 5], "step": 38, "ordinal_position": 39}, {"identifier": "Y20", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "G45", "position": [1, 4], "step": 40, "ordinal_position": 41}, {"identifier": "B23", "position": [1, 3], "step": 41, "ordinal_position": 42}, {"identifier": "Y38", "position": [1, 2], "step": 42, "ordinal_position": 43}, {"identifier": "A61", "position": [1, 1], "step": 43, "ordinal_position": 44}, {"identifier": "Z21", "position": [2, 1], "step": 44, "ordinal_position": 45}, {"identifier": "B46", "position": [3, 1], "step": 45, "ordinal_position": 46}, {"identifier": "H79", "position": [4, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Q22", "position": [5, 1], "step": 47, "ordinal_position": 48}, {"identifier": "C58", "position": [5, 2], "step": 48, "ordinal_position": 49}, {"identifier": "Z52", "position": [5, 3], "step": 49, "ordinal_position": 50}, {"identifier": "Y56", "position": [5, 4], "step": 50, "ordinal_position": 51}, {"identifier": "N36", "position": [5, 5], "step": 51, "ordinal_position": 52}, {"identifier": "S04", "position": [4, 5], "step": 52, "ordinal_position": 53}, {"identifier": "T00", "position": [3, 5], "step": 53, "ordinal_position": 54}, {"identifier": "C43", "position": [2, 5], "step": 54, "ordinal_position": 55}, {"identifier": "Y20", "position": [1, 5], "step": 55, "ordinal_position": 56}, {"identifier": "G45", "position": [1, 4], "step": 56, "ordinal_position": 57}, {"identifier": "B23", "position": [1, 3], "step": 57, "ordinal_position": 58}, {"identifier": "Y38", "position": [1, 2], "step": 58, "ordinal_position": 59}, {"identifier": "A61", "position": [1, 1], "step": 59, "ordinal_position": 60}, {"identifier": "Z21", "position": [2, 1], "step": 60, "ordinal_position": 61}, {"identifier": "B46", "position": [3, 1], "step": 61, "ordinal_position": 62}, {"identifier": "H79", "position": [4, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Q22", "position": [5, 1], "step": 63, "ordinal_position": 64}, {"identifier": "C58", "position": [5, 2], "step": 64, "ordinal_position": 65}, {"identifier": "Z52", "position": [5, 3], "step": 65, "ordinal_position": 66}, {"identifier": "Y56", "position": [5, 4], "step": 66, "ordinal_position": 67}, {"identifier": "N36", "position": [5, 5], "step": 67, "ordinal_position": 68}, {"identifier": "S04", "position": [4, 5], "step": 68, "ordinal_position": 69}, {"identifier": "T00", "position": [3, 5], "step": 69, "ordinal_position": 70}, {"identifier": "C43", "position": [2, 5], "step": 70, "ordinal_position": 71}, {"identifier": "Y20", "position": [1, 5], "step": 71, "ordinal_position": 72}, {"identifier": "G45", "position": [1, 4], "step": 72, "ordinal_position": 73}, {"identifier": "B23", "position": [1, 3], "step": 73, "ordinal_position": 74}, {"identifier": "Y38", "position": [1, 2], "step": 74, "ordinal_position": 75}, {"identifier": "A61", "position": [1, 1], "step": 75, "ordinal_position": 76}, {"identifier": "Z21", "position": [2, 1], "step": 76, "ordinal_position": 77}, {"identifier": "B46", "position": [3, 1], "step": 77, "ordinal_position": 78}, {"identifier": "H79", "position": [4, 1], "step": 78, "ordinal_position": 79}, {"identifier": "Q22", "position": [5, 1], "step": 79, "ordinal_position": 80}, {"identifier": "C58", "position": [5, 2], "step": 80, "ordinal_position": 81}, {"identifier": "Z52", "position": [5, 3], "step": 81, "ordinal_position": 82}, {"identifier": "Y56", "position": [5, 4], "step": 82, "ordinal_position": 83}, {"identifier": "N36", "position": [5, 5], "step": 83, "ordinal_position": 84}, {"identifier": "S04", "position": [4, 5], "step": 84, "ordinal_position": 85}, {"identifier": "T00", "position": [3, 5], "step": 85, "ordinal_position": 86}, {"identifier": "C43", "position": [2, 5], "step": 86, "ordinal_position": 87}, {"identifier": "Y20", "position": [1, 5], "step": 87, "ordinal_position": 88}, {"identifier": "G45", "position": [1, 4], "step": 88, "ordinal_position": 89}, {"identifier": "B23", "position": [1, 3], "step": 89, "ordinal_position": 90}, {"identifier": "Y38", "position": [1, 2], "step": 90, "ordinal_position": 91}, {"identifier": "A61", "position": [1, 1], "step": 91, "ordinal_position": 92}, {"identifier": "Z21", "position": [2, 1], "step": 92, "ordinal_position": 93}, {"identifier": "B46", "position": [3, 1], "step": 93, "ordinal_position": 94}, {"identifier": "H79", "position": [4, 1], "step": 94, "ordinal_position": 95}, {"identifier": "Q22", "position": [5, 1], "step": 95, "ordinal_position": 96}, {"identifier": "C58", "position": [5, 2], "step": 96, "ordinal_position": 97}, {"identifier": "Z52", "position": [5, 3], "step": 97, "ordinal_position": 98}, {"identifier": "Y56", "position": [5, 4], "step": 98, "ordinal_position": 99}, {"identifier": "N36", "position": [5, 5], "step": 99, "ordinal_position": 100}, {"identifier": "S04", "position": [4, 5], "step": 100, "ordinal_position": 101}, {"identifier": "T00", "position": [3, 5], "step": 101, "ordinal_position": 102}, {"identifier": "C43", "position": [2, 5], "step": 102, "ordinal_position": 103}, {"identifier": "Y20", "position": [1, 5], "step": 103, "ordinal_position": 104}, {"identifier": "G45", "position": [1, 4], "step": 104, "ordinal_position": 105}, {"identifier": "B23", "position": [1, 3], "step": 105, "ordinal_position": 106}, {"identifier": "Y38", "position": [1, 2], "step": 106, "ordinal_position": 107}, {"identifier": "A61", "position": [1, 1], "step": 107, "ordinal_position": 108}, {"identifier": "Z21", "position": [2, 1], "step": 108, "ordinal_position": 109}, {"identifier": "B46", "position": [3, 1], "step": 109, "ordinal_position": 110}, {"identifier": "H79", "position": [4, 1], "step": 110, "ordinal_position": 111}, {"identifier": "Q22", "position": [5, 1], "step": 111, "ordinal_position": 112}, {"identifier": "C58", "position": [5, 2], "step": 112, "ordinal_position": 113}, {"identifier": "Z52", "position": [5, 3], "step": 113, "ordinal_position": 114}, {"identifier": "Y56", "position": [5, 4], "step": 114, "ordinal_position": 115}, {"identifier": "N36", "position": [5, 5], "step": 115, "ordinal_position": 116}, {"identifier": "S04", "position": [4, 5], "step": 116, "ordinal_position": 117}, {"identifier": "T00", "position": [3, 5], "step": 117, "ordinal_position": 118}, {"identifier": "C43", "position": [2, 5], "step": 118, "ordinal_position": 119}, {"identifier": "Y20", "position": [1, 5], "step": 119, "ordinal_position": 120}, {"identifier": "G45", "position": [1, 4], "step": 120, "ordinal_position": 121}, {"identifier": "B23", "position": [1, 3], "step": 121, "ordinal_position": 122}, {"identifier": "Y38", "position": [1, 2], "step": 122, "ordinal_position": 123}, {"identifier": "A61", "position": [1, 1], "step": 123, "ordinal_position": 124}, {"identifier": "Z21", "position": [2, 1], "step": 124, "ordinal_position": 125}, {"identifier": "B46", "position": [3, 1], "step": 125, "ordinal_position": 126}, {"identifier": "H79", "position": [4, 1], "step": 126, "ordinal_position": 127}, {"identifier": "Q22", "position": [5, 1], "step": 127, "ordinal_position": 128}, {"identifier": "C58", "position": [5, 2], "step": 128, "ordinal_position": 129}, {"identifier": "Z52", "position": [5, 3], "step": 129, "ordinal_position": 130}, {"identifier": "Y56", "position": [5, 4], "step": 130, "ordinal_position": 131}, {"identifier": "N36", "position": [5, 5], "step": 131, "ordinal_position": 132}, {"identifier": "S04", "position": [4, 5], "step": 132, "ordinal_position": 133}, {"identifier": "T00", "position": [3, 5], "step": 133, "ordinal_position": 134}, {"identifier": "C43", "position": [2, 5], "step": 134, "ordinal_position": 135}, {"identifier": "Y20", "position": [1, 5], "step": 135, "ordinal_position": 136}, {"identifier": "G45", "position": [1, 4], "step": 136, "ordinal_position": 137}, {"identifier": "B23", "position": [1, 3], "step": 137, "ordinal_position": 138}, {"identifier": "Y38", "position": [1, 2], "step": 138, "ordinal_position": 139}, {"identifier": "A61", "position": [1, 1], "step": 139, "ordinal_position": 140}, {"identifier": "Z21", "position": [2, 1], "step": 140, "ordinal_position": 141}, {"identifier": "B46", "position": [3, 1], "step": 141, "ordinal_position": 142}, {"identifier": "H79", "position": [4, 1], "step": 142, "ordinal_position": 143}, {"identifier": "Q22", "position": [5, 1], "step": 143, "ordinal_position": 144}, {"identifier": "C58", "position": [5, 2], "step": 144, "ordinal_position": 145}, {"identifier": "Z52", "position": [5, 3], "step": 145, "ordinal_position": 146}, {"identifier": "Y56", "position": [5, 4], "step": 146, "ordinal_position": 147}, {"identifier": "N36", "position": [5, 5], "step": 147, "ordinal_position": 148}, {"identifier": "S04", "position": [4, 5], "step": 148, "ordinal_position": 149}, {"identifier": "T00", "position": [3, 5], "step": 149, "ordinal_position": 150}, {"identifier": "C43", "position": [2, 5], "step": 150, "ordinal_position": 151}, {"identifier": "Y20", "position": [1, 5], "step": 151, "ordinal_position": 152}, {"identifier": "G45", "position": [1, 4], "step": 152, "ordinal_position": 153}, {"identifier": "B23", "position": [1, 3], "step": 153, "ordinal_position": 154}, {"identifier": "Y38", "position": [1, 2], "step": 154, "ordinal_position": 155}, {"identifier": "A61", "position": [1, 1], "step": 155, "ordinal_position": 156}, {"identifier": "Z21", "position": [2, 1], "step": 156, "ordinal_position": 157}, {"identifier": "B46", "position": [3, 1], "step": 157, "ordinal_position": 158}, {"identifier": "H79", "position": [4, 1], "step": 158, "ordinal_position": 159}, {"identifier": "Q22", "position": [5, 1], "step": 159, "ordinal_position": 160}, {"identifier": "C58", "position": [5, 2], "step": 160, "ordinal_position": 161}, {"identifier": "Z52", "position": [5, 3], "step": 161, "ordinal_position": 162}, {"identifier": "Y56", "position": [5, 4], "step": 162, "ordinal_position": 163}, {"identifier": "N36", "position": [5, 5], "step": 163, "ordinal_position": 164}, {"identifier": "S04", "position": [4, 5], "step": 164, "ordinal_position": 165}, {"identifier": "T00", "position": [3, 5], "step": 165, "ordinal_position": 166}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 166, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_011.json"}} {"qa_id": "17aef2cad3104158946e895fc54dc37a", "image_id": "L3-MazeLoop-test_7x7_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I61, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "I61", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "D57", "traversal_path": [{"identifier": "I61", "position": [4, 5], "step": 0, "ordinal_position": 1}, {"identifier": "G64", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "X60", "position": [5, 4], "step": 2, "ordinal_position": 3}, {"identifier": "D72", "position": [5, 3], "step": 3, "ordinal_position": 4}, {"identifier": "D57", "position": [5, 2], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_012.json"}} {"qa_id": "868b17655fc047cb9cd5b181ba020ccc", "image_id": "L3-MazeLoop-test_7x7_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X60, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "X60", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "G64", "traversal_path": [{"identifier": "X60", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "G64", "position": [5, 5], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 2, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_012.json"}} {"qa_id": "5a3221e3968044d5a8c9a83b2363109b", "image_id": "L3-MazeLoop-test_7x7_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J14, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "J14", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "S17", "traversal_path": [{"identifier": "J14", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "C40", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "C48", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "A76", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "S17", "position": [1, 3], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_012.json"}} {"qa_id": "1244155314de4629b467a02e14baf1bf", "image_id": "L3-MazeLoop-test_7x7_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N91, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "N91", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "C48", "traversal_path": [{"identifier": "N91", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "I17", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "S17", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "A76", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "C48", "position": [1, 1], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_012.json"}} {"qa_id": "07e012d85f9d4485b6e618070cec0c43", "image_id": "L3-MazeLoop-test_7x7_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C48, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "C48", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "E60", "traversal_path": [{"identifier": "C48", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "A76", "position": [1, 2], "step": 1, "ordinal_position": 2}, {"identifier": "S17", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "I17", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "N91", "position": [1, 5], "step": 4, "ordinal_position": 5}, {"identifier": "E60", "position": [2, 5], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 6, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_012.json"}} {"qa_id": "1db7cd8f11904072b8a1901ba9cfd7f7", "image_id": "L3-MazeLoop-test_7x7_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U84, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 42nd position in this traversal?", "start_object_id": "U84", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [42], "ordinal_strings": ["42nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "R35", "traversal_path": [{"identifier": "U84", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "J14", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "C40", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "C48", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "A76", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "S17", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "I17", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "N91", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "E60", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "R35", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "I61", "position": [4, 5], "step": 10, "ordinal_position": 11}, {"identifier": "G64", "position": [5, 5], "step": 11, "ordinal_position": 12}, {"identifier": "X60", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "D72", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "D57", "position": [5, 2], "step": 14, "ordinal_position": 15}, {"identifier": "Q57", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "V03", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "J14", "position": [3, 1], "step": 17, "ordinal_position": 18}, {"identifier": "C40", "position": [2, 1], "step": 18, "ordinal_position": 19}, {"identifier": "C48", "position": [1, 1], "step": 19, "ordinal_position": 20}, {"identifier": "A76", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "S17", "position": [1, 3], "step": 21, "ordinal_position": 22}, {"identifier": "I17", "position": [1, 4], "step": 22, "ordinal_position": 23}, {"identifier": "N91", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "E60", "position": [2, 5], "step": 24, "ordinal_position": 25}, {"identifier": "R35", "position": [3, 5], "step": 25, "ordinal_position": 26}, {"identifier": "I61", "position": [4, 5], "step": 26, "ordinal_position": 27}, {"identifier": "G64", "position": [5, 5], "step": 27, "ordinal_position": 28}, {"identifier": "X60", "position": [5, 4], "step": 28, "ordinal_position": 29}, {"identifier": "D72", "position": [5, 3], "step": 29, "ordinal_position": 30}, {"identifier": "D57", "position": [5, 2], "step": 30, "ordinal_position": 31}, {"identifier": "Q57", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "V03", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "J14", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "C40", "position": [2, 1], "step": 34, "ordinal_position": 35}, {"identifier": "C48", "position": [1, 1], "step": 35, "ordinal_position": 36}, {"identifier": "A76", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "S17", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "I17", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "N91", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "E60", "position": [2, 5], "step": 40, "ordinal_position": 41}, {"identifier": "R35", "position": [3, 5], "step": 41, "ordinal_position": 42}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 42, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_012.json"}} {"qa_id": "a2712da475b74718872402f2a06020e9", "image_id": "L3-MazeLoop-test_7x7_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N80, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 94th position in this traversal?", "start_object_id": "N80", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [94], "ordinal_strings": ["94th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "G64", "traversal_path": [{"identifier": "N80", "position": [4, 3], "step": 0, "ordinal_position": 1}, {"identifier": "D05", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "U84", "position": [3, 2], "step": 2, "ordinal_position": 3}, {"identifier": "J14", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "C40", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "C48", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "A76", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "S17", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "I17", "position": [1, 4], "step": 8, "ordinal_position": 9}, {"identifier": "N91", "position": [1, 5], "step": 9, "ordinal_position": 10}, {"identifier": "E60", "position": [2, 5], "step": 10, "ordinal_position": 11}, {"identifier": "R35", "position": [3, 5], "step": 11, "ordinal_position": 12}, {"identifier": "I61", "position": [4, 5], "step": 12, "ordinal_position": 13}, {"identifier": "G64", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "X60", "position": [5, 4], "step": 14, "ordinal_position": 15}, {"identifier": "D72", "position": [5, 3], "step": 15, "ordinal_position": 16}, {"identifier": "D57", "position": [5, 2], "step": 16, "ordinal_position": 17}, {"identifier": "Q57", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "V03", "position": [4, 1], "step": 18, "ordinal_position": 19}, {"identifier": "J14", "position": [3, 1], "step": 19, "ordinal_position": 20}, {"identifier": "C40", "position": [2, 1], "step": 20, "ordinal_position": 21}, {"identifier": "C48", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "A76", "position": [1, 2], "step": 22, "ordinal_position": 23}, {"identifier": "S17", "position": [1, 3], "step": 23, "ordinal_position": 24}, {"identifier": "I17", "position": [1, 4], "step": 24, "ordinal_position": 25}, {"identifier": "N91", "position": [1, 5], "step": 25, "ordinal_position": 26}, {"identifier": "E60", "position": [2, 5], "step": 26, "ordinal_position": 27}, {"identifier": "R35", "position": [3, 5], "step": 27, "ordinal_position": 28}, {"identifier": "I61", "position": [4, 5], "step": 28, "ordinal_position": 29}, {"identifier": "G64", "position": [5, 5], "step": 29, "ordinal_position": 30}, {"identifier": "X60", "position": [5, 4], "step": 30, "ordinal_position": 31}, {"identifier": "D72", "position": [5, 3], "step": 31, "ordinal_position": 32}, {"identifier": "D57", "position": [5, 2], "step": 32, "ordinal_position": 33}, {"identifier": "Q57", "position": [5, 1], "step": 33, "ordinal_position": 34}, {"identifier": "V03", "position": [4, 1], "step": 34, "ordinal_position": 35}, {"identifier": "J14", "position": [3, 1], "step": 35, "ordinal_position": 36}, {"identifier": "C40", "position": [2, 1], "step": 36, "ordinal_position": 37}, {"identifier": "C48", "position": [1, 1], "step": 37, "ordinal_position": 38}, {"identifier": "A76", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "S17", "position": [1, 3], "step": 39, "ordinal_position": 40}, {"identifier": "I17", "position": [1, 4], "step": 40, "ordinal_position": 41}, {"identifier": "N91", "position": [1, 5], "step": 41, "ordinal_position": 42}, {"identifier": "E60", "position": [2, 5], "step": 42, "ordinal_position": 43}, {"identifier": "R35", "position": [3, 5], "step": 43, "ordinal_position": 44}, {"identifier": "I61", "position": [4, 5], "step": 44, "ordinal_position": 45}, {"identifier": "G64", "position": [5, 5], "step": 45, "ordinal_position": 46}, {"identifier": "X60", "position": [5, 4], "step": 46, "ordinal_position": 47}, {"identifier": "D72", "position": [5, 3], "step": 47, "ordinal_position": 48}, {"identifier": "D57", "position": [5, 2], "step": 48, "ordinal_position": 49}, {"identifier": "Q57", "position": [5, 1], "step": 49, "ordinal_position": 50}, {"identifier": "V03", "position": [4, 1], "step": 50, "ordinal_position": 51}, {"identifier": "J14", "position": [3, 1], "step": 51, "ordinal_position": 52}, {"identifier": "C40", "position": [2, 1], "step": 52, "ordinal_position": 53}, {"identifier": "C48", "position": [1, 1], "step": 53, "ordinal_position": 54}, {"identifier": "A76", "position": [1, 2], "step": 54, "ordinal_position": 55}, {"identifier": "S17", "position": [1, 3], "step": 55, "ordinal_position": 56}, {"identifier": "I17", "position": [1, 4], "step": 56, "ordinal_position": 57}, {"identifier": "N91", "position": [1, 5], "step": 57, "ordinal_position": 58}, {"identifier": "E60", "position": [2, 5], "step": 58, "ordinal_position": 59}, {"identifier": "R35", "position": [3, 5], "step": 59, "ordinal_position": 60}, {"identifier": "I61", "position": [4, 5], "step": 60, "ordinal_position": 61}, {"identifier": "G64", "position": [5, 5], "step": 61, "ordinal_position": 62}, {"identifier": "X60", "position": [5, 4], "step": 62, "ordinal_position": 63}, {"identifier": "D72", "position": [5, 3], "step": 63, "ordinal_position": 64}, {"identifier": "D57", "position": [5, 2], "step": 64, "ordinal_position": 65}, {"identifier": "Q57", "position": [5, 1], "step": 65, "ordinal_position": 66}, {"identifier": "V03", "position": [4, 1], "step": 66, "ordinal_position": 67}, {"identifier": "J14", "position": [3, 1], "step": 67, "ordinal_position": 68}, {"identifier": "C40", "position": [2, 1], "step": 68, "ordinal_position": 69}, {"identifier": "C48", "position": [1, 1], "step": 69, "ordinal_position": 70}, {"identifier": "A76", "position": [1, 2], "step": 70, "ordinal_position": 71}, {"identifier": "S17", "position": [1, 3], "step": 71, "ordinal_position": 72}, {"identifier": "I17", "position": [1, 4], "step": 72, "ordinal_position": 73}, {"identifier": "N91", "position": [1, 5], "step": 73, "ordinal_position": 74}, {"identifier": "E60", "position": [2, 5], "step": 74, "ordinal_position": 75}, {"identifier": "R35", "position": [3, 5], "step": 75, "ordinal_position": 76}, {"identifier": "I61", "position": [4, 5], "step": 76, "ordinal_position": 77}, {"identifier": "G64", "position": [5, 5], "step": 77, "ordinal_position": 78}, {"identifier": "X60", "position": [5, 4], "step": 78, "ordinal_position": 79}, {"identifier": "D72", "position": [5, 3], "step": 79, "ordinal_position": 80}, {"identifier": "D57", "position": [5, 2], "step": 80, "ordinal_position": 81}, {"identifier": "Q57", "position": [5, 1], "step": 81, "ordinal_position": 82}, {"identifier": "V03", "position": [4, 1], "step": 82, "ordinal_position": 83}, {"identifier": "J14", "position": [3, 1], "step": 83, "ordinal_position": 84}, {"identifier": "C40", "position": [2, 1], "step": 84, "ordinal_position": 85}, {"identifier": "C48", "position": [1, 1], "step": 85, "ordinal_position": 86}, {"identifier": "A76", "position": [1, 2], "step": 86, "ordinal_position": 87}, {"identifier": "S17", "position": [1, 3], "step": 87, "ordinal_position": 88}, {"identifier": "I17", "position": [1, 4], "step": 88, "ordinal_position": 89}, {"identifier": "N91", "position": [1, 5], "step": 89, "ordinal_position": 90}, {"identifier": "E60", "position": [2, 5], "step": 90, "ordinal_position": 91}, {"identifier": "R35", "position": [3, 5], "step": 91, "ordinal_position": 92}, {"identifier": "I61", "position": [4, 5], "step": 92, "ordinal_position": 93}, {"identifier": "G64", "position": [5, 5], "step": 93, "ordinal_position": 94}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 94, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_012.json"}} {"qa_id": "f84ac8f2a701442196309f7d02856b41", "image_id": "L3-MazeLoop-test_7x7_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D05, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 27th position in this traversal?", "start_object_id": "D05", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [27], "ordinal_strings": ["27th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "S17", "traversal_path": [{"identifier": "D05", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "N80", "position": [4, 3], "step": 1, "ordinal_position": 2}, {"identifier": "D72", "position": [5, 3], "step": 2, "ordinal_position": 3}, {"identifier": "D57", "position": [5, 2], "step": 3, "ordinal_position": 4}, {"identifier": "Q57", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "V03", "position": [4, 1], "step": 5, "ordinal_position": 6}, {"identifier": "J14", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "C40", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "C48", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "A76", "position": [1, 2], "step": 9, "ordinal_position": 10}, {"identifier": "S17", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "I17", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "N91", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "E60", "position": [2, 5], "step": 13, "ordinal_position": 14}, {"identifier": "R35", "position": [3, 5], "step": 14, "ordinal_position": 15}, {"identifier": "I61", "position": [4, 5], "step": 15, "ordinal_position": 16}, {"identifier": "G64", "position": [5, 5], "step": 16, "ordinal_position": 17}, {"identifier": "X60", "position": [5, 4], "step": 17, "ordinal_position": 18}, {"identifier": "D72", "position": [5, 3], "step": 18, "ordinal_position": 19}, {"identifier": "D57", "position": [5, 2], "step": 19, "ordinal_position": 20}, {"identifier": "Q57", "position": [5, 1], "step": 20, "ordinal_position": 21}, {"identifier": "V03", "position": [4, 1], "step": 21, "ordinal_position": 22}, {"identifier": "J14", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "C40", "position": [2, 1], "step": 23, "ordinal_position": 24}, {"identifier": "C48", "position": [1, 1], "step": 24, "ordinal_position": 25}, {"identifier": "A76", "position": [1, 2], "step": 25, "ordinal_position": 26}, {"identifier": "S17", "position": [1, 3], "step": 26, "ordinal_position": 27}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 27, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_012.json"}} {"qa_id": "28437c9ad80c4bde9421317bd98ddc9c", "image_id": "L3-MazeLoop-test_7x7_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R35, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 32nd position in this traversal?", "start_object_id": "R35", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [32], "ordinal_strings": ["32nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "I61", "traversal_path": [{"identifier": "R35", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "E60", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "N91", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "I17", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "S17", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "A76", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "C48", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "C40", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "J14", "position": [3, 1], "step": 8, "ordinal_position": 9}, {"identifier": "V03", "position": [4, 1], "step": 9, "ordinal_position": 10}, {"identifier": "Q57", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "D57", "position": [5, 2], "step": 11, "ordinal_position": 12}, {"identifier": "D72", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "X60", "position": [5, 4], "step": 13, "ordinal_position": 14}, {"identifier": "G64", "position": [5, 5], "step": 14, "ordinal_position": 15}, {"identifier": "I61", "position": [4, 5], "step": 15, "ordinal_position": 16}, {"identifier": "R35", "position": [3, 5], "step": 16, "ordinal_position": 17}, {"identifier": "E60", "position": [2, 5], "step": 17, "ordinal_position": 18}, {"identifier": "N91", "position": [1, 5], "step": 18, "ordinal_position": 19}, {"identifier": "I17", "position": [1, 4], "step": 19, "ordinal_position": 20}, {"identifier": "S17", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "A76", "position": [1, 2], "step": 21, "ordinal_position": 22}, {"identifier": "C48", "position": [1, 1], "step": 22, "ordinal_position": 23}, {"identifier": "C40", "position": [2, 1], "step": 23, "ordinal_position": 24}, {"identifier": "J14", "position": [3, 1], "step": 24, "ordinal_position": 25}, {"identifier": "V03", "position": [4, 1], "step": 25, "ordinal_position": 26}, {"identifier": "Q57", "position": [5, 1], "step": 26, "ordinal_position": 27}, {"identifier": "D57", "position": [5, 2], "step": 27, "ordinal_position": 28}, {"identifier": "D72", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "X60", "position": [5, 4], "step": 29, "ordinal_position": 30}, {"identifier": "G64", "position": [5, 5], "step": 30, "ordinal_position": 31}, {"identifier": "I61", "position": [4, 5], "step": 31, "ordinal_position": 32}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 32, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_012.json"}} {"qa_id": "ce5a04fb797d4167b83f195300c5b802", "image_id": "L3-MazeLoop-test_7x7_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I17, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 9th position in this traversal?", "start_object_id": "I17", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [9], "ordinal_strings": ["9th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "D57", "traversal_path": [{"identifier": "I17", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "S17", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "A76", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "C48", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "C40", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "J14", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "V03", "position": [4, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Q57", "position": [5, 1], "step": 7, "ordinal_position": 8}, {"identifier": "D57", "position": [5, 2], "step": 8, "ordinal_position": 9}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 9, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_012.json"}} {"qa_id": "efe6cb6bff3e4149ad9c721433fc5490", "image_id": "L3-MazeLoop-test_7x7_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E60, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 249th position in this traversal?", "start_object_id": "E60", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [249], "ordinal_strings": ["249th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "V03", "traversal_path": [{"identifier": "E60", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "N91", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "I17", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "S17", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "A76", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "C48", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "C40", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "J14", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "V03", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Q57", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "D57", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "D72", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "X60", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "G64", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "I61", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "R35", "position": [3, 5], "step": 15, "ordinal_position": 16}, {"identifier": "E60", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "N91", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "I17", "position": [1, 4], "step": 18, "ordinal_position": 19}, {"identifier": "S17", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "A76", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "C48", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "C40", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "J14", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "V03", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "Q57", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "D57", "position": [5, 2], "step": 26, "ordinal_position": 27}, {"identifier": "D72", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "X60", "position": [5, 4], "step": 28, "ordinal_position": 29}, {"identifier": "G64", "position": [5, 5], "step": 29, "ordinal_position": 30}, {"identifier": "I61", "position": [4, 5], "step": 30, "ordinal_position": 31}, {"identifier": "R35", "position": [3, 5], "step": 31, "ordinal_position": 32}, {"identifier": "E60", "position": [2, 5], "step": 32, "ordinal_position": 33}, {"identifier": "N91", "position": [1, 5], "step": 33, "ordinal_position": 34}, {"identifier": "I17", "position": [1, 4], "step": 34, "ordinal_position": 35}, {"identifier": "S17", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "A76", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "C48", "position": [1, 1], "step": 37, "ordinal_position": 38}, {"identifier": "C40", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "J14", "position": [3, 1], "step": 39, "ordinal_position": 40}, {"identifier": "V03", "position": [4, 1], "step": 40, "ordinal_position": 41}, {"identifier": "Q57", "position": [5, 1], "step": 41, "ordinal_position": 42}, {"identifier": "D57", "position": [5, 2], "step": 42, "ordinal_position": 43}, {"identifier": "D72", "position": [5, 3], "step": 43, "ordinal_position": 44}, {"identifier": "X60", "position": [5, 4], "step": 44, "ordinal_position": 45}, {"identifier": "G64", "position": [5, 5], "step": 45, "ordinal_position": 46}, {"identifier": "I61", "position": [4, 5], "step": 46, "ordinal_position": 47}, {"identifier": "R35", "position": [3, 5], "step": 47, "ordinal_position": 48}, {"identifier": "E60", "position": [2, 5], "step": 48, "ordinal_position": 49}, {"identifier": "N91", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "I17", "position": [1, 4], "step": 50, "ordinal_position": 51}, {"identifier": "S17", "position": [1, 3], "step": 51, "ordinal_position": 52}, {"identifier": "A76", "position": [1, 2], "step": 52, "ordinal_position": 53}, {"identifier": "C48", "position": [1, 1], "step": 53, "ordinal_position": 54}, {"identifier": "C40", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "J14", "position": [3, 1], "step": 55, "ordinal_position": 56}, {"identifier": "V03", "position": [4, 1], "step": 56, "ordinal_position": 57}, {"identifier": "Q57", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "D57", "position": [5, 2], "step": 58, "ordinal_position": 59}, {"identifier": "D72", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "X60", "position": [5, 4], "step": 60, "ordinal_position": 61}, {"identifier": "G64", "position": [5, 5], "step": 61, "ordinal_position": 62}, {"identifier": "I61", "position": [4, 5], "step": 62, "ordinal_position": 63}, {"identifier": "R35", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "E60", "position": [2, 5], "step": 64, "ordinal_position": 65}, {"identifier": "N91", "position": [1, 5], "step": 65, "ordinal_position": 66}, {"identifier": "I17", "position": [1, 4], "step": 66, "ordinal_position": 67}, {"identifier": "S17", "position": [1, 3], "step": 67, "ordinal_position": 68}, {"identifier": "A76", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "C48", "position": [1, 1], "step": 69, "ordinal_position": 70}, {"identifier": "C40", "position": [2, 1], "step": 70, "ordinal_position": 71}, {"identifier": "J14", "position": [3, 1], "step": 71, "ordinal_position": 72}, {"identifier": "V03", "position": [4, 1], "step": 72, "ordinal_position": 73}, {"identifier": "Q57", "position": [5, 1], "step": 73, "ordinal_position": 74}, {"identifier": "D57", "position": [5, 2], "step": 74, "ordinal_position": 75}, {"identifier": "D72", "position": [5, 3], "step": 75, "ordinal_position": 76}, {"identifier": "X60", "position": [5, 4], "step": 76, "ordinal_position": 77}, {"identifier": "G64", "position": [5, 5], "step": 77, "ordinal_position": 78}, {"identifier": "I61", "position": [4, 5], "step": 78, "ordinal_position": 79}, {"identifier": "R35", "position": [3, 5], "step": 79, "ordinal_position": 80}, {"identifier": "E60", "position": [2, 5], "step": 80, "ordinal_position": 81}, {"identifier": "N91", "position": [1, 5], "step": 81, "ordinal_position": 82}, {"identifier": "I17", "position": [1, 4], "step": 82, "ordinal_position": 83}, {"identifier": "S17", "position": [1, 3], "step": 83, "ordinal_position": 84}, {"identifier": "A76", "position": [1, 2], "step": 84, "ordinal_position": 85}, {"identifier": "C48", "position": [1, 1], "step": 85, "ordinal_position": 86}, {"identifier": "C40", "position": [2, 1], "step": 86, "ordinal_position": 87}, {"identifier": "J14", "position": [3, 1], "step": 87, "ordinal_position": 88}, {"identifier": "V03", "position": [4, 1], "step": 88, "ordinal_position": 89}, {"identifier": "Q57", "position": [5, 1], "step": 89, "ordinal_position": 90}, {"identifier": "D57", "position": [5, 2], "step": 90, "ordinal_position": 91}, {"identifier": "D72", "position": [5, 3], "step": 91, "ordinal_position": 92}, {"identifier": "X60", "position": [5, 4], "step": 92, "ordinal_position": 93}, {"identifier": "G64", "position": [5, 5], "step": 93, "ordinal_position": 94}, {"identifier": "I61", "position": [4, 5], "step": 94, "ordinal_position": 95}, {"identifier": "R35", "position": [3, 5], "step": 95, "ordinal_position": 96}, {"identifier": "E60", "position": [2, 5], "step": 96, "ordinal_position": 97}, {"identifier": "N91", "position": [1, 5], "step": 97, "ordinal_position": 98}, {"identifier": "I17", "position": [1, 4], "step": 98, "ordinal_position": 99}, {"identifier": "S17", "position": [1, 3], "step": 99, "ordinal_position": 100}, {"identifier": "A76", "position": [1, 2], "step": 100, "ordinal_position": 101}, {"identifier": "C48", "position": [1, 1], "step": 101, "ordinal_position": 102}, {"identifier": "C40", "position": [2, 1], "step": 102, "ordinal_position": 103}, {"identifier": "J14", "position": [3, 1], "step": 103, "ordinal_position": 104}, {"identifier": "V03", "position": [4, 1], "step": 104, "ordinal_position": 105}, {"identifier": "Q57", "position": [5, 1], "step": 105, "ordinal_position": 106}, {"identifier": "D57", "position": [5, 2], "step": 106, "ordinal_position": 107}, {"identifier": "D72", "position": [5, 3], "step": 107, "ordinal_position": 108}, {"identifier": "X60", "position": [5, 4], "step": 108, "ordinal_position": 109}, {"identifier": "G64", "position": [5, 5], "step": 109, "ordinal_position": 110}, {"identifier": "I61", "position": [4, 5], "step": 110, "ordinal_position": 111}, {"identifier": "R35", "position": [3, 5], "step": 111, "ordinal_position": 112}, {"identifier": "E60", "position": [2, 5], "step": 112, "ordinal_position": 113}, {"identifier": "N91", "position": [1, 5], "step": 113, "ordinal_position": 114}, {"identifier": "I17", "position": [1, 4], "step": 114, "ordinal_position": 115}, {"identifier": "S17", "position": [1, 3], "step": 115, "ordinal_position": 116}, {"identifier": "A76", "position": [1, 2], "step": 116, "ordinal_position": 117}, {"identifier": "C48", "position": [1, 1], "step": 117, "ordinal_position": 118}, {"identifier": "C40", "position": [2, 1], "step": 118, "ordinal_position": 119}, {"identifier": "J14", "position": [3, 1], "step": 119, "ordinal_position": 120}, {"identifier": "V03", "position": [4, 1], "step": 120, "ordinal_position": 121}, {"identifier": "Q57", "position": [5, 1], "step": 121, "ordinal_position": 122}, {"identifier": "D57", "position": [5, 2], "step": 122, "ordinal_position": 123}, {"identifier": "D72", "position": [5, 3], "step": 123, "ordinal_position": 124}, {"identifier": "X60", "position": [5, 4], "step": 124, "ordinal_position": 125}, {"identifier": "G64", "position": [5, 5], "step": 125, "ordinal_position": 126}, {"identifier": "I61", "position": [4, 5], "step": 126, "ordinal_position": 127}, {"identifier": "R35", "position": [3, 5], "step": 127, "ordinal_position": 128}, {"identifier": "E60", "position": [2, 5], "step": 128, "ordinal_position": 129}, {"identifier": "N91", "position": [1, 5], "step": 129, "ordinal_position": 130}, {"identifier": "I17", "position": [1, 4], "step": 130, "ordinal_position": 131}, {"identifier": "S17", "position": [1, 3], "step": 131, "ordinal_position": 132}, {"identifier": "A76", "position": [1, 2], "step": 132, "ordinal_position": 133}, {"identifier": "C48", "position": [1, 1], "step": 133, "ordinal_position": 134}, {"identifier": "C40", "position": [2, 1], "step": 134, "ordinal_position": 135}, {"identifier": "J14", "position": [3, 1], "step": 135, "ordinal_position": 136}, {"identifier": "V03", "position": [4, 1], "step": 136, "ordinal_position": 137}, {"identifier": "Q57", "position": [5, 1], "step": 137, "ordinal_position": 138}, {"identifier": "D57", "position": [5, 2], "step": 138, "ordinal_position": 139}, {"identifier": "D72", "position": [5, 3], "step": 139, "ordinal_position": 140}, {"identifier": "X60", "position": [5, 4], "step": 140, "ordinal_position": 141}, {"identifier": "G64", "position": [5, 5], "step": 141, "ordinal_position": 142}, {"identifier": "I61", "position": [4, 5], "step": 142, "ordinal_position": 143}, {"identifier": "R35", "position": [3, 5], "step": 143, "ordinal_position": 144}, {"identifier": "E60", "position": [2, 5], "step": 144, "ordinal_position": 145}, {"identifier": "N91", "position": [1, 5], "step": 145, "ordinal_position": 146}, {"identifier": "I17", "position": [1, 4], "step": 146, "ordinal_position": 147}, {"identifier": "S17", "position": [1, 3], "step": 147, "ordinal_position": 148}, {"identifier": "A76", "position": [1, 2], "step": 148, "ordinal_position": 149}, {"identifier": "C48", "position": [1, 1], "step": 149, "ordinal_position": 150}, {"identifier": "C40", "position": [2, 1], "step": 150, "ordinal_position": 151}, {"identifier": "J14", "position": [3, 1], "step": 151, "ordinal_position": 152}, {"identifier": "V03", "position": [4, 1], "step": 152, "ordinal_position": 153}, {"identifier": "Q57", "position": [5, 1], "step": 153, "ordinal_position": 154}, {"identifier": "D57", "position": [5, 2], "step": 154, "ordinal_position": 155}, {"identifier": "D72", "position": [5, 3], "step": 155, "ordinal_position": 156}, {"identifier": "X60", "position": [5, 4], "step": 156, "ordinal_position": 157}, {"identifier": "G64", "position": [5, 5], "step": 157, "ordinal_position": 158}, {"identifier": "I61", "position": [4, 5], "step": 158, "ordinal_position": 159}, {"identifier": "R35", "position": [3, 5], "step": 159, "ordinal_position": 160}, {"identifier": "E60", "position": [2, 5], "step": 160, "ordinal_position": 161}, {"identifier": "N91", "position": [1, 5], "step": 161, "ordinal_position": 162}, {"identifier": "I17", "position": [1, 4], "step": 162, "ordinal_position": 163}, {"identifier": "S17", "position": [1, 3], "step": 163, "ordinal_position": 164}, {"identifier": "A76", "position": [1, 2], "step": 164, "ordinal_position": 165}, {"identifier": "C48", "position": [1, 1], "step": 165, "ordinal_position": 166}, {"identifier": "C40", "position": [2, 1], "step": 166, "ordinal_position": 167}, {"identifier": "J14", "position": [3, 1], "step": 167, "ordinal_position": 168}, {"identifier": "V03", "position": [4, 1], "step": 168, "ordinal_position": 169}, {"identifier": "Q57", "position": [5, 1], "step": 169, "ordinal_position": 170}, {"identifier": "D57", "position": [5, 2], "step": 170, "ordinal_position": 171}, {"identifier": "D72", "position": [5, 3], "step": 171, "ordinal_position": 172}, {"identifier": "X60", "position": [5, 4], "step": 172, "ordinal_position": 173}, {"identifier": "G64", "position": [5, 5], "step": 173, "ordinal_position": 174}, {"identifier": "I61", "position": [4, 5], "step": 174, "ordinal_position": 175}, {"identifier": "R35", "position": [3, 5], "step": 175, "ordinal_position": 176}, {"identifier": "E60", "position": [2, 5], "step": 176, "ordinal_position": 177}, {"identifier": "N91", "position": [1, 5], "step": 177, "ordinal_position": 178}, {"identifier": "I17", "position": [1, 4], "step": 178, "ordinal_position": 179}, {"identifier": "S17", "position": [1, 3], "step": 179, "ordinal_position": 180}, {"identifier": "A76", "position": [1, 2], "step": 180, "ordinal_position": 181}, {"identifier": "C48", "position": [1, 1], "step": 181, "ordinal_position": 182}, {"identifier": "C40", "position": [2, 1], "step": 182, "ordinal_position": 183}, {"identifier": "J14", "position": [3, 1], "step": 183, "ordinal_position": 184}, {"identifier": "V03", "position": [4, 1], "step": 184, "ordinal_position": 185}, {"identifier": "Q57", "position": [5, 1], "step": 185, "ordinal_position": 186}, {"identifier": "D57", "position": [5, 2], "step": 186, "ordinal_position": 187}, {"identifier": "D72", "position": [5, 3], "step": 187, "ordinal_position": 188}, {"identifier": "X60", "position": [5, 4], "step": 188, "ordinal_position": 189}, {"identifier": "G64", "position": [5, 5], "step": 189, "ordinal_position": 190}, {"identifier": "I61", "position": [4, 5], "step": 190, "ordinal_position": 191}, {"identifier": "R35", "position": [3, 5], "step": 191, "ordinal_position": 192}, {"identifier": "E60", "position": [2, 5], "step": 192, "ordinal_position": 193}, {"identifier": "N91", "position": [1, 5], "step": 193, "ordinal_position": 194}, {"identifier": "I17", "position": [1, 4], "step": 194, "ordinal_position": 195}, {"identifier": "S17", "position": [1, 3], "step": 195, "ordinal_position": 196}, {"identifier": "A76", "position": [1, 2], "step": 196, "ordinal_position": 197}, {"identifier": "C48", "position": [1, 1], "step": 197, "ordinal_position": 198}, {"identifier": "C40", "position": [2, 1], "step": 198, "ordinal_position": 199}, {"identifier": "J14", "position": [3, 1], "step": 199, "ordinal_position": 200}, {"identifier": "V03", "position": [4, 1], "step": 200, "ordinal_position": 201}, {"identifier": "Q57", "position": [5, 1], "step": 201, "ordinal_position": 202}, {"identifier": "D57", "position": [5, 2], "step": 202, "ordinal_position": 203}, {"identifier": "D72", "position": [5, 3], "step": 203, "ordinal_position": 204}, {"identifier": "X60", "position": [5, 4], "step": 204, "ordinal_position": 205}, {"identifier": "G64", "position": [5, 5], "step": 205, "ordinal_position": 206}, {"identifier": "I61", "position": [4, 5], "step": 206, "ordinal_position": 207}, {"identifier": "R35", "position": [3, 5], "step": 207, "ordinal_position": 208}, {"identifier": "E60", "position": [2, 5], "step": 208, "ordinal_position": 209}, {"identifier": "N91", "position": [1, 5], "step": 209, "ordinal_position": 210}, {"identifier": "I17", "position": [1, 4], "step": 210, "ordinal_position": 211}, {"identifier": "S17", "position": [1, 3], "step": 211, "ordinal_position": 212}, {"identifier": "A76", "position": [1, 2], "step": 212, "ordinal_position": 213}, {"identifier": "C48", "position": [1, 1], "step": 213, "ordinal_position": 214}, {"identifier": "C40", "position": [2, 1], "step": 214, "ordinal_position": 215}, {"identifier": "J14", "position": [3, 1], "step": 215, "ordinal_position": 216}, {"identifier": "V03", "position": [4, 1], "step": 216, "ordinal_position": 217}, {"identifier": "Q57", "position": [5, 1], "step": 217, "ordinal_position": 218}, {"identifier": "D57", "position": [5, 2], "step": 218, "ordinal_position": 219}, {"identifier": "D72", "position": [5, 3], "step": 219, "ordinal_position": 220}, {"identifier": "X60", "position": [5, 4], "step": 220, "ordinal_position": 221}, {"identifier": "G64", "position": [5, 5], "step": 221, "ordinal_position": 222}, {"identifier": "I61", "position": [4, 5], "step": 222, "ordinal_position": 223}, {"identifier": "R35", "position": [3, 5], "step": 223, "ordinal_position": 224}, {"identifier": "E60", "position": [2, 5], "step": 224, "ordinal_position": 225}, {"identifier": "N91", "position": [1, 5], "step": 225, "ordinal_position": 226}, {"identifier": "I17", "position": [1, 4], "step": 226, "ordinal_position": 227}, {"identifier": "S17", "position": [1, 3], "step": 227, "ordinal_position": 228}, {"identifier": "A76", "position": [1, 2], "step": 228, "ordinal_position": 229}, {"identifier": "C48", "position": [1, 1], "step": 229, "ordinal_position": 230}, {"identifier": "C40", "position": [2, 1], "step": 230, "ordinal_position": 231}, {"identifier": "J14", "position": [3, 1], "step": 231, "ordinal_position": 232}, {"identifier": "V03", "position": [4, 1], "step": 232, "ordinal_position": 233}, {"identifier": "Q57", "position": [5, 1], "step": 233, "ordinal_position": 234}, {"identifier": "D57", "position": [5, 2], "step": 234, "ordinal_position": 235}, {"identifier": "D72", "position": [5, 3], "step": 235, "ordinal_position": 236}, {"identifier": "X60", "position": [5, 4], "step": 236, "ordinal_position": 237}, {"identifier": "G64", "position": [5, 5], "step": 237, "ordinal_position": 238}, {"identifier": "I61", "position": [4, 5], "step": 238, "ordinal_position": 239}, {"identifier": "R35", "position": [3, 5], "step": 239, "ordinal_position": 240}, {"identifier": "E60", "position": [2, 5], "step": 240, "ordinal_position": 241}, {"identifier": "N91", "position": [1, 5], "step": 241, "ordinal_position": 242}, {"identifier": "I17", "position": [1, 4], "step": 242, "ordinal_position": 243}, {"identifier": "S17", "position": [1, 3], "step": 243, "ordinal_position": 244}, {"identifier": "A76", "position": [1, 2], "step": 244, "ordinal_position": 245}, {"identifier": "C48", "position": [1, 1], "step": 245, "ordinal_position": 246}, {"identifier": "C40", "position": [2, 1], "step": 246, "ordinal_position": 247}, {"identifier": "J14", "position": [3, 1], "step": 247, "ordinal_position": 248}, {"identifier": "V03", "position": [4, 1], "step": 248, "ordinal_position": 249}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 249, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_012.json"}} {"qa_id": "2feb1c963d754650966090639a672c5b", "image_id": "L3-MazeLoop-test_7x7_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D05, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 155th position in this traversal?", "start_object_id": "D05", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [155], "ordinal_strings": ["155th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "R35", "traversal_path": [{"identifier": "D05", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "U84", "position": [3, 2], "step": 1, "ordinal_position": 2}, {"identifier": "J14", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "C40", "position": [2, 1], "step": 3, "ordinal_position": 4}, {"identifier": "C48", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "A76", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "S17", "position": [1, 3], "step": 6, "ordinal_position": 7}, {"identifier": "I17", "position": [1, 4], "step": 7, "ordinal_position": 8}, {"identifier": "N91", "position": [1, 5], "step": 8, "ordinal_position": 9}, {"identifier": "E60", "position": [2, 5], "step": 9, "ordinal_position": 10}, {"identifier": "R35", "position": [3, 5], "step": 10, "ordinal_position": 11}, {"identifier": "I61", "position": [4, 5], "step": 11, "ordinal_position": 12}, {"identifier": "G64", "position": [5, 5], "step": 12, "ordinal_position": 13}, {"identifier": "X60", "position": [5, 4], "step": 13, "ordinal_position": 14}, {"identifier": "D72", "position": [5, 3], "step": 14, "ordinal_position": 15}, {"identifier": "D57", "position": [5, 2], "step": 15, "ordinal_position": 16}, {"identifier": "Q57", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "V03", "position": [4, 1], "step": 17, "ordinal_position": 18}, {"identifier": "J14", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "C40", "position": [2, 1], "step": 19, "ordinal_position": 20}, {"identifier": "C48", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "A76", "position": [1, 2], "step": 21, "ordinal_position": 22}, {"identifier": "S17", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "I17", "position": [1, 4], "step": 23, "ordinal_position": 24}, {"identifier": "N91", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "E60", "position": [2, 5], "step": 25, "ordinal_position": 26}, {"identifier": "R35", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "I61", "position": [4, 5], "step": 27, "ordinal_position": 28}, {"identifier": "G64", "position": [5, 5], "step": 28, "ordinal_position": 29}, {"identifier": "X60", "position": [5, 4], "step": 29, "ordinal_position": 30}, {"identifier": "D72", "position": [5, 3], "step": 30, "ordinal_position": 31}, {"identifier": "D57", "position": [5, 2], "step": 31, "ordinal_position": 32}, {"identifier": "Q57", "position": [5, 1], "step": 32, "ordinal_position": 33}, {"identifier": "V03", "position": [4, 1], "step": 33, "ordinal_position": 34}, {"identifier": "J14", "position": [3, 1], "step": 34, "ordinal_position": 35}, {"identifier": "C40", "position": [2, 1], "step": 35, "ordinal_position": 36}, {"identifier": "C48", "position": [1, 1], "step": 36, "ordinal_position": 37}, {"identifier": "A76", "position": [1, 2], "step": 37, "ordinal_position": 38}, {"identifier": "S17", "position": [1, 3], "step": 38, "ordinal_position": 39}, {"identifier": "I17", "position": [1, 4], "step": 39, "ordinal_position": 40}, {"identifier": "N91", "position": [1, 5], "step": 40, "ordinal_position": 41}, {"identifier": "E60", "position": [2, 5], "step": 41, "ordinal_position": 42}, {"identifier": "R35", "position": [3, 5], "step": 42, "ordinal_position": 43}, {"identifier": "I61", "position": [4, 5], "step": 43, "ordinal_position": 44}, {"identifier": "G64", "position": [5, 5], "step": 44, "ordinal_position": 45}, {"identifier": "X60", "position": [5, 4], "step": 45, "ordinal_position": 46}, {"identifier": "D72", "position": [5, 3], "step": 46, "ordinal_position": 47}, {"identifier": "D57", "position": [5, 2], "step": 47, "ordinal_position": 48}, {"identifier": "Q57", "position": [5, 1], "step": 48, "ordinal_position": 49}, {"identifier": "V03", "position": [4, 1], "step": 49, "ordinal_position": 50}, {"identifier": "J14", "position": [3, 1], "step": 50, "ordinal_position": 51}, {"identifier": "C40", "position": [2, 1], "step": 51, "ordinal_position": 52}, {"identifier": "C48", "position": [1, 1], "step": 52, "ordinal_position": 53}, {"identifier": "A76", "position": [1, 2], "step": 53, "ordinal_position": 54}, {"identifier": "S17", "position": [1, 3], "step": 54, "ordinal_position": 55}, {"identifier": "I17", "position": [1, 4], "step": 55, "ordinal_position": 56}, {"identifier": "N91", "position": [1, 5], "step": 56, "ordinal_position": 57}, {"identifier": "E60", "position": [2, 5], "step": 57, "ordinal_position": 58}, {"identifier": "R35", "position": [3, 5], "step": 58, "ordinal_position": 59}, {"identifier": "I61", "position": [4, 5], "step": 59, "ordinal_position": 60}, {"identifier": "G64", "position": [5, 5], "step": 60, "ordinal_position": 61}, {"identifier": "X60", "position": [5, 4], "step": 61, "ordinal_position": 62}, {"identifier": "D72", "position": [5, 3], "step": 62, "ordinal_position": 63}, {"identifier": "D57", "position": [5, 2], "step": 63, "ordinal_position": 64}, {"identifier": "Q57", "position": [5, 1], "step": 64, "ordinal_position": 65}, {"identifier": "V03", "position": [4, 1], "step": 65, "ordinal_position": 66}, {"identifier": "J14", "position": [3, 1], "step": 66, "ordinal_position": 67}, {"identifier": "C40", "position": [2, 1], "step": 67, "ordinal_position": 68}, {"identifier": "C48", "position": [1, 1], "step": 68, "ordinal_position": 69}, {"identifier": "A76", "position": [1, 2], "step": 69, "ordinal_position": 70}, {"identifier": "S17", "position": [1, 3], "step": 70, "ordinal_position": 71}, {"identifier": "I17", "position": [1, 4], "step": 71, "ordinal_position": 72}, {"identifier": "N91", "position": [1, 5], "step": 72, "ordinal_position": 73}, {"identifier": "E60", "position": [2, 5], "step": 73, "ordinal_position": 74}, {"identifier": "R35", "position": [3, 5], "step": 74, "ordinal_position": 75}, {"identifier": "I61", "position": [4, 5], "step": 75, "ordinal_position": 76}, {"identifier": "G64", "position": [5, 5], "step": 76, "ordinal_position": 77}, {"identifier": "X60", "position": [5, 4], "step": 77, "ordinal_position": 78}, {"identifier": "D72", "position": [5, 3], "step": 78, "ordinal_position": 79}, {"identifier": "D57", "position": [5, 2], "step": 79, "ordinal_position": 80}, {"identifier": "Q57", "position": [5, 1], "step": 80, "ordinal_position": 81}, {"identifier": "V03", "position": [4, 1], "step": 81, "ordinal_position": 82}, {"identifier": "J14", "position": [3, 1], "step": 82, "ordinal_position": 83}, {"identifier": "C40", "position": [2, 1], "step": 83, "ordinal_position": 84}, {"identifier": "C48", "position": [1, 1], "step": 84, "ordinal_position": 85}, {"identifier": "A76", "position": [1, 2], "step": 85, "ordinal_position": 86}, {"identifier": "S17", "position": [1, 3], "step": 86, "ordinal_position": 87}, {"identifier": "I17", "position": [1, 4], "step": 87, "ordinal_position": 88}, {"identifier": "N91", "position": [1, 5], "step": 88, "ordinal_position": 89}, {"identifier": "E60", "position": [2, 5], "step": 89, "ordinal_position": 90}, {"identifier": "R35", "position": [3, 5], "step": 90, "ordinal_position": 91}, {"identifier": "I61", "position": [4, 5], "step": 91, "ordinal_position": 92}, {"identifier": "G64", "position": [5, 5], "step": 92, "ordinal_position": 93}, {"identifier": "X60", "position": [5, 4], "step": 93, "ordinal_position": 94}, {"identifier": "D72", "position": [5, 3], "step": 94, "ordinal_position": 95}, {"identifier": "D57", "position": [5, 2], "step": 95, "ordinal_position": 96}, {"identifier": "Q57", "position": [5, 1], "step": 96, "ordinal_position": 97}, {"identifier": "V03", "position": [4, 1], "step": 97, "ordinal_position": 98}, {"identifier": "J14", "position": [3, 1], "step": 98, "ordinal_position": 99}, {"identifier": "C40", "position": [2, 1], "step": 99, "ordinal_position": 100}, {"identifier": "C48", "position": [1, 1], "step": 100, "ordinal_position": 101}, {"identifier": "A76", "position": [1, 2], "step": 101, "ordinal_position": 102}, {"identifier": "S17", "position": [1, 3], "step": 102, "ordinal_position": 103}, {"identifier": "I17", "position": [1, 4], "step": 103, "ordinal_position": 104}, {"identifier": "N91", "position": [1, 5], "step": 104, "ordinal_position": 105}, {"identifier": "E60", "position": [2, 5], "step": 105, "ordinal_position": 106}, {"identifier": "R35", "position": [3, 5], "step": 106, "ordinal_position": 107}, {"identifier": "I61", "position": [4, 5], "step": 107, "ordinal_position": 108}, {"identifier": "G64", "position": [5, 5], "step": 108, "ordinal_position": 109}, {"identifier": "X60", "position": [5, 4], "step": 109, "ordinal_position": 110}, {"identifier": "D72", "position": [5, 3], "step": 110, "ordinal_position": 111}, {"identifier": "D57", "position": [5, 2], "step": 111, "ordinal_position": 112}, {"identifier": "Q57", "position": [5, 1], "step": 112, "ordinal_position": 113}, {"identifier": "V03", "position": [4, 1], "step": 113, "ordinal_position": 114}, {"identifier": "J14", "position": [3, 1], "step": 114, "ordinal_position": 115}, {"identifier": "C40", "position": [2, 1], "step": 115, "ordinal_position": 116}, {"identifier": "C48", "position": [1, 1], "step": 116, "ordinal_position": 117}, {"identifier": "A76", "position": [1, 2], "step": 117, "ordinal_position": 118}, {"identifier": "S17", "position": [1, 3], "step": 118, "ordinal_position": 119}, {"identifier": "I17", "position": [1, 4], "step": 119, "ordinal_position": 120}, {"identifier": "N91", "position": [1, 5], "step": 120, "ordinal_position": 121}, {"identifier": "E60", "position": [2, 5], "step": 121, "ordinal_position": 122}, {"identifier": "R35", "position": [3, 5], "step": 122, "ordinal_position": 123}, {"identifier": "I61", "position": [4, 5], "step": 123, "ordinal_position": 124}, {"identifier": "G64", "position": [5, 5], "step": 124, "ordinal_position": 125}, {"identifier": "X60", "position": [5, 4], "step": 125, "ordinal_position": 126}, {"identifier": "D72", "position": [5, 3], "step": 126, "ordinal_position": 127}, {"identifier": "D57", "position": [5, 2], "step": 127, "ordinal_position": 128}, {"identifier": "Q57", "position": [5, 1], "step": 128, "ordinal_position": 129}, {"identifier": "V03", "position": [4, 1], "step": 129, "ordinal_position": 130}, {"identifier": "J14", "position": [3, 1], "step": 130, "ordinal_position": 131}, {"identifier": "C40", "position": [2, 1], "step": 131, "ordinal_position": 132}, {"identifier": "C48", "position": [1, 1], "step": 132, "ordinal_position": 133}, {"identifier": "A76", "position": [1, 2], "step": 133, "ordinal_position": 134}, {"identifier": "S17", "position": [1, 3], "step": 134, "ordinal_position": 135}, {"identifier": "I17", "position": [1, 4], "step": 135, "ordinal_position": 136}, {"identifier": "N91", "position": [1, 5], "step": 136, "ordinal_position": 137}, {"identifier": "E60", "position": [2, 5], "step": 137, "ordinal_position": 138}, {"identifier": "R35", "position": [3, 5], "step": 138, "ordinal_position": 139}, {"identifier": "I61", "position": [4, 5], "step": 139, "ordinal_position": 140}, {"identifier": "G64", "position": [5, 5], "step": 140, "ordinal_position": 141}, {"identifier": "X60", "position": [5, 4], "step": 141, "ordinal_position": 142}, {"identifier": "D72", "position": [5, 3], "step": 142, "ordinal_position": 143}, {"identifier": "D57", "position": [5, 2], "step": 143, "ordinal_position": 144}, {"identifier": "Q57", "position": [5, 1], "step": 144, "ordinal_position": 145}, {"identifier": "V03", "position": [4, 1], "step": 145, "ordinal_position": 146}, {"identifier": "J14", "position": [3, 1], "step": 146, "ordinal_position": 147}, {"identifier": "C40", "position": [2, 1], "step": 147, "ordinal_position": 148}, {"identifier": "C48", "position": [1, 1], "step": 148, "ordinal_position": 149}, {"identifier": "A76", "position": [1, 2], "step": 149, "ordinal_position": 150}, {"identifier": "S17", "position": [1, 3], "step": 150, "ordinal_position": 151}, {"identifier": "I17", "position": [1, 4], "step": 151, "ordinal_position": 152}, {"identifier": "N91", "position": [1, 5], "step": 152, "ordinal_position": 153}, {"identifier": "E60", "position": [2, 5], "step": 153, "ordinal_position": 154}, {"identifier": "R35", "position": [3, 5], "step": 154, "ordinal_position": 155}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 155, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_012.json"}} {"qa_id": "84481ffb99824ee49fba758afa98770e", "image_id": "L3-MazeLoop-test_7x7_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G64, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 123rd position in this traversal?", "start_object_id": "G64", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [123], "ordinal_strings": ["123rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "J14", "traversal_path": [{"identifier": "G64", "position": [5, 5], "step": 0, "ordinal_position": 1}, {"identifier": "I61", "position": [4, 5], "step": 1, "ordinal_position": 2}, {"identifier": "R35", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "E60", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "N91", "position": [1, 5], "step": 4, "ordinal_position": 5}, {"identifier": "I17", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "S17", "position": [1, 3], "step": 6, "ordinal_position": 7}, {"identifier": "A76", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "C48", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "C40", "position": [2, 1], "step": 9, "ordinal_position": 10}, {"identifier": "J14", "position": [3, 1], "step": 10, "ordinal_position": 11}, {"identifier": "V03", "position": [4, 1], "step": 11, "ordinal_position": 12}, {"identifier": "Q57", "position": [5, 1], "step": 12, "ordinal_position": 13}, {"identifier": "D57", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "D72", "position": [5, 3], "step": 14, "ordinal_position": 15}, {"identifier": "X60", "position": [5, 4], "step": 15, "ordinal_position": 16}, {"identifier": "G64", "position": [5, 5], "step": 16, "ordinal_position": 17}, {"identifier": "I61", "position": [4, 5], "step": 17, "ordinal_position": 18}, {"identifier": "R35", "position": [3, 5], "step": 18, "ordinal_position": 19}, {"identifier": "E60", "position": [2, 5], "step": 19, "ordinal_position": 20}, {"identifier": "N91", "position": [1, 5], "step": 20, "ordinal_position": 21}, {"identifier": "I17", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "S17", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "A76", "position": [1, 2], "step": 23, "ordinal_position": 24}, {"identifier": "C48", "position": [1, 1], "step": 24, "ordinal_position": 25}, {"identifier": "C40", "position": [2, 1], "step": 25, "ordinal_position": 26}, {"identifier": "J14", "position": [3, 1], "step": 26, "ordinal_position": 27}, {"identifier": "V03", "position": [4, 1], "step": 27, "ordinal_position": 28}, {"identifier": "Q57", "position": [5, 1], "step": 28, "ordinal_position": 29}, {"identifier": "D57", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "D72", "position": [5, 3], "step": 30, "ordinal_position": 31}, {"identifier": "X60", "position": [5, 4], "step": 31, "ordinal_position": 32}, {"identifier": "G64", "position": [5, 5], "step": 32, "ordinal_position": 33}, {"identifier": "I61", "position": [4, 5], "step": 33, "ordinal_position": 34}, {"identifier": "R35", "position": [3, 5], "step": 34, "ordinal_position": 35}, {"identifier": "E60", "position": [2, 5], "step": 35, "ordinal_position": 36}, {"identifier": "N91", "position": [1, 5], "step": 36, "ordinal_position": 37}, {"identifier": "I17", "position": [1, 4], "step": 37, "ordinal_position": 38}, {"identifier": "S17", "position": [1, 3], "step": 38, "ordinal_position": 39}, {"identifier": "A76", "position": [1, 2], "step": 39, "ordinal_position": 40}, {"identifier": "C48", "position": [1, 1], "step": 40, "ordinal_position": 41}, {"identifier": "C40", "position": [2, 1], "step": 41, "ordinal_position": 42}, {"identifier": "J14", "position": [3, 1], "step": 42, "ordinal_position": 43}, {"identifier": "V03", "position": [4, 1], "step": 43, "ordinal_position": 44}, {"identifier": "Q57", "position": [5, 1], "step": 44, "ordinal_position": 45}, {"identifier": "D57", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "D72", "position": [5, 3], "step": 46, "ordinal_position": 47}, {"identifier": "X60", "position": [5, 4], "step": 47, "ordinal_position": 48}, {"identifier": "G64", "position": [5, 5], "step": 48, "ordinal_position": 49}, {"identifier": "I61", "position": [4, 5], "step": 49, "ordinal_position": 50}, {"identifier": "R35", "position": [3, 5], "step": 50, "ordinal_position": 51}, {"identifier": "E60", "position": [2, 5], "step": 51, "ordinal_position": 52}, {"identifier": "N91", "position": [1, 5], "step": 52, "ordinal_position": 53}, {"identifier": "I17", "position": [1, 4], "step": 53, "ordinal_position": 54}, {"identifier": "S17", "position": [1, 3], "step": 54, "ordinal_position": 55}, {"identifier": "A76", "position": [1, 2], "step": 55, "ordinal_position": 56}, {"identifier": "C48", "position": [1, 1], "step": 56, "ordinal_position": 57}, {"identifier": "C40", "position": [2, 1], "step": 57, "ordinal_position": 58}, {"identifier": "J14", "position": [3, 1], "step": 58, "ordinal_position": 59}, {"identifier": "V03", "position": [4, 1], "step": 59, "ordinal_position": 60}, {"identifier": "Q57", "position": [5, 1], "step": 60, "ordinal_position": 61}, {"identifier": "D57", "position": [5, 2], "step": 61, "ordinal_position": 62}, {"identifier": "D72", "position": [5, 3], "step": 62, "ordinal_position": 63}, {"identifier": "X60", "position": [5, 4], "step": 63, "ordinal_position": 64}, {"identifier": "G64", "position": [5, 5], "step": 64, "ordinal_position": 65}, {"identifier": "I61", "position": [4, 5], "step": 65, "ordinal_position": 66}, {"identifier": "R35", "position": [3, 5], "step": 66, "ordinal_position": 67}, {"identifier": "E60", "position": [2, 5], "step": 67, "ordinal_position": 68}, {"identifier": "N91", "position": [1, 5], "step": 68, "ordinal_position": 69}, {"identifier": "I17", "position": [1, 4], "step": 69, "ordinal_position": 70}, {"identifier": "S17", "position": [1, 3], "step": 70, "ordinal_position": 71}, {"identifier": "A76", "position": [1, 2], "step": 71, "ordinal_position": 72}, {"identifier": "C48", "position": [1, 1], "step": 72, "ordinal_position": 73}, {"identifier": "C40", "position": [2, 1], "step": 73, "ordinal_position": 74}, {"identifier": "J14", "position": [3, 1], "step": 74, "ordinal_position": 75}, {"identifier": "V03", "position": [4, 1], "step": 75, "ordinal_position": 76}, {"identifier": "Q57", "position": [5, 1], "step": 76, "ordinal_position": 77}, {"identifier": "D57", "position": [5, 2], "step": 77, "ordinal_position": 78}, {"identifier": "D72", "position": [5, 3], "step": 78, "ordinal_position": 79}, {"identifier": "X60", "position": [5, 4], "step": 79, "ordinal_position": 80}, {"identifier": "G64", "position": [5, 5], "step": 80, "ordinal_position": 81}, {"identifier": "I61", "position": [4, 5], "step": 81, "ordinal_position": 82}, {"identifier": "R35", "position": [3, 5], "step": 82, "ordinal_position": 83}, {"identifier": "E60", "position": [2, 5], "step": 83, "ordinal_position": 84}, {"identifier": "N91", "position": [1, 5], "step": 84, "ordinal_position": 85}, {"identifier": "I17", "position": [1, 4], "step": 85, "ordinal_position": 86}, {"identifier": "S17", "position": [1, 3], "step": 86, "ordinal_position": 87}, {"identifier": "A76", "position": [1, 2], "step": 87, "ordinal_position": 88}, {"identifier": "C48", "position": [1, 1], "step": 88, "ordinal_position": 89}, {"identifier": "C40", "position": [2, 1], "step": 89, "ordinal_position": 90}, {"identifier": "J14", "position": [3, 1], "step": 90, "ordinal_position": 91}, {"identifier": "V03", "position": [4, 1], "step": 91, "ordinal_position": 92}, {"identifier": "Q57", "position": [5, 1], "step": 92, "ordinal_position": 93}, {"identifier": "D57", "position": [5, 2], "step": 93, "ordinal_position": 94}, {"identifier": "D72", "position": [5, 3], "step": 94, "ordinal_position": 95}, {"identifier": "X60", "position": [5, 4], "step": 95, "ordinal_position": 96}, {"identifier": "G64", "position": [5, 5], "step": 96, "ordinal_position": 97}, {"identifier": "I61", "position": [4, 5], "step": 97, "ordinal_position": 98}, {"identifier": "R35", "position": [3, 5], "step": 98, "ordinal_position": 99}, {"identifier": "E60", "position": [2, 5], "step": 99, "ordinal_position": 100}, {"identifier": "N91", "position": [1, 5], "step": 100, "ordinal_position": 101}, {"identifier": "I17", "position": [1, 4], "step": 101, "ordinal_position": 102}, {"identifier": "S17", "position": [1, 3], "step": 102, "ordinal_position": 103}, {"identifier": "A76", "position": [1, 2], "step": 103, "ordinal_position": 104}, {"identifier": "C48", "position": [1, 1], "step": 104, "ordinal_position": 105}, {"identifier": "C40", "position": [2, 1], "step": 105, "ordinal_position": 106}, {"identifier": "J14", "position": [3, 1], "step": 106, "ordinal_position": 107}, {"identifier": "V03", "position": [4, 1], "step": 107, "ordinal_position": 108}, {"identifier": "Q57", "position": [5, 1], "step": 108, "ordinal_position": 109}, {"identifier": "D57", "position": [5, 2], "step": 109, "ordinal_position": 110}, {"identifier": "D72", "position": [5, 3], "step": 110, "ordinal_position": 111}, {"identifier": "X60", "position": [5, 4], "step": 111, "ordinal_position": 112}, {"identifier": "G64", "position": [5, 5], "step": 112, "ordinal_position": 113}, {"identifier": "I61", "position": [4, 5], "step": 113, "ordinal_position": 114}, {"identifier": "R35", "position": [3, 5], "step": 114, "ordinal_position": 115}, {"identifier": "E60", "position": [2, 5], "step": 115, "ordinal_position": 116}, {"identifier": "N91", "position": [1, 5], "step": 116, "ordinal_position": 117}, {"identifier": "I17", "position": [1, 4], "step": 117, "ordinal_position": 118}, {"identifier": "S17", "position": [1, 3], "step": 118, "ordinal_position": 119}, {"identifier": "A76", "position": [1, 2], "step": 119, "ordinal_position": 120}, {"identifier": "C48", "position": [1, 1], "step": 120, "ordinal_position": 121}, {"identifier": "C40", "position": [2, 1], "step": 121, "ordinal_position": 122}, {"identifier": "J14", "position": [3, 1], "step": 122, "ordinal_position": 123}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 123, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_012.json"}} {"qa_id": "aed59379d8bf4b3fa66e1d5cd3505bd5", "image_id": "L3-MazeLoop-test_7x7_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S17, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 244th position in this traversal?", "start_object_id": "S17", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [244], "ordinal_strings": ["244th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "C40", "traversal_path": [{"identifier": "S17", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "A76", "position": [1, 2], "step": 1, "ordinal_position": 2}, {"identifier": "C48", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "C40", "position": [2, 1], "step": 3, "ordinal_position": 4}, {"identifier": "J14", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "V03", "position": [4, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Q57", "position": [5, 1], "step": 6, "ordinal_position": 7}, {"identifier": "D57", "position": [5, 2], "step": 7, "ordinal_position": 8}, {"identifier": "D72", "position": [5, 3], "step": 8, "ordinal_position": 9}, {"identifier": "X60", "position": [5, 4], "step": 9, "ordinal_position": 10}, {"identifier": "G64", "position": [5, 5], "step": 10, "ordinal_position": 11}, {"identifier": "I61", "position": [4, 5], "step": 11, "ordinal_position": 12}, {"identifier": "R35", "position": [3, 5], "step": 12, "ordinal_position": 13}, {"identifier": "E60", "position": [2, 5], "step": 13, "ordinal_position": 14}, {"identifier": "N91", "position": [1, 5], "step": 14, "ordinal_position": 15}, {"identifier": "I17", "position": [1, 4], "step": 15, "ordinal_position": 16}, {"identifier": "S17", "position": [1, 3], "step": 16, "ordinal_position": 17}, {"identifier": "A76", "position": [1, 2], "step": 17, "ordinal_position": 18}, {"identifier": "C48", "position": [1, 1], "step": 18, "ordinal_position": 19}, {"identifier": "C40", "position": [2, 1], "step": 19, "ordinal_position": 20}, {"identifier": "J14", "position": [3, 1], "step": 20, "ordinal_position": 21}, {"identifier": "V03", "position": [4, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Q57", "position": [5, 1], "step": 22, "ordinal_position": 23}, {"identifier": "D57", "position": [5, 2], "step": 23, "ordinal_position": 24}, {"identifier": "D72", "position": [5, 3], "step": 24, "ordinal_position": 25}, {"identifier": "X60", "position": [5, 4], "step": 25, "ordinal_position": 26}, {"identifier": "G64", "position": [5, 5], "step": 26, "ordinal_position": 27}, {"identifier": "I61", "position": [4, 5], "step": 27, "ordinal_position": 28}, {"identifier": "R35", "position": [3, 5], "step": 28, "ordinal_position": 29}, {"identifier": "E60", "position": [2, 5], "step": 29, "ordinal_position": 30}, {"identifier": "N91", "position": [1, 5], "step": 30, "ordinal_position": 31}, {"identifier": "I17", "position": [1, 4], "step": 31, "ordinal_position": 32}, {"identifier": "S17", "position": [1, 3], "step": 32, "ordinal_position": 33}, {"identifier": "A76", "position": [1, 2], "step": 33, "ordinal_position": 34}, {"identifier": "C48", "position": [1, 1], "step": 34, "ordinal_position": 35}, {"identifier": "C40", "position": [2, 1], "step": 35, "ordinal_position": 36}, {"identifier": "J14", "position": [3, 1], "step": 36, "ordinal_position": 37}, {"identifier": "V03", "position": [4, 1], "step": 37, "ordinal_position": 38}, {"identifier": "Q57", "position": [5, 1], "step": 38, "ordinal_position": 39}, {"identifier": "D57", "position": [5, 2], "step": 39, "ordinal_position": 40}, {"identifier": "D72", "position": [5, 3], "step": 40, "ordinal_position": 41}, {"identifier": "X60", "position": [5, 4], "step": 41, "ordinal_position": 42}, {"identifier": "G64", "position": [5, 5], "step": 42, "ordinal_position": 43}, {"identifier": "I61", "position": [4, 5], "step": 43, "ordinal_position": 44}, {"identifier": "R35", "position": [3, 5], "step": 44, "ordinal_position": 45}, {"identifier": "E60", "position": [2, 5], "step": 45, "ordinal_position": 46}, {"identifier": "N91", "position": [1, 5], "step": 46, "ordinal_position": 47}, {"identifier": "I17", "position": [1, 4], "step": 47, "ordinal_position": 48}, {"identifier": "S17", "position": [1, 3], "step": 48, "ordinal_position": 49}, {"identifier": "A76", "position": [1, 2], "step": 49, "ordinal_position": 50}, {"identifier": "C48", "position": [1, 1], "step": 50, "ordinal_position": 51}, {"identifier": "C40", "position": [2, 1], "step": 51, "ordinal_position": 52}, {"identifier": "J14", "position": [3, 1], "step": 52, "ordinal_position": 53}, {"identifier": "V03", "position": [4, 1], "step": 53, "ordinal_position": 54}, {"identifier": "Q57", "position": [5, 1], "step": 54, "ordinal_position": 55}, {"identifier": "D57", "position": [5, 2], "step": 55, "ordinal_position": 56}, {"identifier": "D72", "position": [5, 3], "step": 56, "ordinal_position": 57}, {"identifier": "X60", "position": [5, 4], "step": 57, "ordinal_position": 58}, {"identifier": "G64", "position": [5, 5], "step": 58, "ordinal_position": 59}, {"identifier": "I61", "position": [4, 5], "step": 59, "ordinal_position": 60}, {"identifier": "R35", "position": [3, 5], "step": 60, "ordinal_position": 61}, {"identifier": "E60", "position": [2, 5], "step": 61, "ordinal_position": 62}, {"identifier": "N91", "position": [1, 5], "step": 62, "ordinal_position": 63}, {"identifier": "I17", "position": [1, 4], "step": 63, "ordinal_position": 64}, {"identifier": "S17", "position": [1, 3], "step": 64, "ordinal_position": 65}, {"identifier": "A76", "position": [1, 2], "step": 65, "ordinal_position": 66}, {"identifier": "C48", "position": [1, 1], "step": 66, "ordinal_position": 67}, {"identifier": "C40", "position": [2, 1], "step": 67, "ordinal_position": 68}, {"identifier": "J14", "position": [3, 1], "step": 68, "ordinal_position": 69}, {"identifier": "V03", "position": [4, 1], "step": 69, "ordinal_position": 70}, {"identifier": "Q57", "position": [5, 1], "step": 70, "ordinal_position": 71}, {"identifier": "D57", "position": [5, 2], "step": 71, "ordinal_position": 72}, {"identifier": "D72", "position": [5, 3], "step": 72, "ordinal_position": 73}, {"identifier": "X60", "position": [5, 4], "step": 73, "ordinal_position": 74}, {"identifier": "G64", "position": [5, 5], "step": 74, "ordinal_position": 75}, {"identifier": "I61", "position": [4, 5], "step": 75, "ordinal_position": 76}, {"identifier": "R35", "position": [3, 5], "step": 76, "ordinal_position": 77}, {"identifier": "E60", "position": [2, 5], "step": 77, "ordinal_position": 78}, {"identifier": "N91", "position": [1, 5], "step": 78, "ordinal_position": 79}, {"identifier": "I17", "position": [1, 4], "step": 79, "ordinal_position": 80}, {"identifier": "S17", "position": [1, 3], "step": 80, "ordinal_position": 81}, {"identifier": "A76", "position": [1, 2], "step": 81, "ordinal_position": 82}, {"identifier": "C48", "position": [1, 1], "step": 82, "ordinal_position": 83}, {"identifier": "C40", "position": [2, 1], "step": 83, "ordinal_position": 84}, {"identifier": "J14", "position": [3, 1], "step": 84, "ordinal_position": 85}, {"identifier": "V03", "position": [4, 1], "step": 85, "ordinal_position": 86}, {"identifier": "Q57", "position": [5, 1], "step": 86, "ordinal_position": 87}, {"identifier": "D57", "position": [5, 2], "step": 87, "ordinal_position": 88}, {"identifier": "D72", "position": [5, 3], "step": 88, "ordinal_position": 89}, {"identifier": "X60", "position": [5, 4], "step": 89, "ordinal_position": 90}, {"identifier": "G64", "position": [5, 5], "step": 90, "ordinal_position": 91}, {"identifier": "I61", "position": [4, 5], "step": 91, "ordinal_position": 92}, {"identifier": "R35", "position": [3, 5], "step": 92, "ordinal_position": 93}, {"identifier": "E60", "position": [2, 5], "step": 93, "ordinal_position": 94}, {"identifier": "N91", "position": [1, 5], "step": 94, "ordinal_position": 95}, {"identifier": "I17", "position": [1, 4], "step": 95, "ordinal_position": 96}, {"identifier": "S17", "position": [1, 3], "step": 96, "ordinal_position": 97}, {"identifier": "A76", "position": [1, 2], "step": 97, "ordinal_position": 98}, {"identifier": "C48", "position": [1, 1], "step": 98, "ordinal_position": 99}, {"identifier": "C40", "position": [2, 1], "step": 99, "ordinal_position": 100}, {"identifier": "J14", "position": [3, 1], "step": 100, "ordinal_position": 101}, {"identifier": "V03", "position": [4, 1], "step": 101, "ordinal_position": 102}, {"identifier": "Q57", "position": [5, 1], "step": 102, "ordinal_position": 103}, {"identifier": "D57", "position": [5, 2], "step": 103, "ordinal_position": 104}, {"identifier": "D72", "position": [5, 3], "step": 104, "ordinal_position": 105}, {"identifier": "X60", "position": [5, 4], "step": 105, "ordinal_position": 106}, {"identifier": "G64", "position": [5, 5], "step": 106, "ordinal_position": 107}, {"identifier": "I61", "position": [4, 5], "step": 107, "ordinal_position": 108}, {"identifier": "R35", "position": [3, 5], "step": 108, "ordinal_position": 109}, {"identifier": "E60", "position": [2, 5], "step": 109, "ordinal_position": 110}, {"identifier": "N91", "position": [1, 5], "step": 110, "ordinal_position": 111}, {"identifier": "I17", "position": [1, 4], "step": 111, "ordinal_position": 112}, {"identifier": "S17", "position": [1, 3], "step": 112, "ordinal_position": 113}, {"identifier": "A76", "position": [1, 2], "step": 113, "ordinal_position": 114}, {"identifier": "C48", "position": [1, 1], "step": 114, "ordinal_position": 115}, {"identifier": "C40", "position": [2, 1], "step": 115, "ordinal_position": 116}, {"identifier": "J14", "position": [3, 1], "step": 116, "ordinal_position": 117}, {"identifier": "V03", "position": [4, 1], "step": 117, "ordinal_position": 118}, {"identifier": "Q57", "position": [5, 1], "step": 118, "ordinal_position": 119}, {"identifier": "D57", "position": [5, 2], "step": 119, "ordinal_position": 120}, {"identifier": "D72", "position": [5, 3], "step": 120, "ordinal_position": 121}, {"identifier": "X60", "position": [5, 4], "step": 121, "ordinal_position": 122}, {"identifier": "G64", "position": [5, 5], "step": 122, "ordinal_position": 123}, {"identifier": "I61", "position": [4, 5], "step": 123, "ordinal_position": 124}, {"identifier": "R35", "position": [3, 5], "step": 124, "ordinal_position": 125}, {"identifier": "E60", "position": [2, 5], "step": 125, "ordinal_position": 126}, {"identifier": "N91", "position": [1, 5], "step": 126, "ordinal_position": 127}, {"identifier": "I17", "position": [1, 4], "step": 127, "ordinal_position": 128}, {"identifier": "S17", "position": [1, 3], "step": 128, "ordinal_position": 129}, {"identifier": "A76", "position": [1, 2], "step": 129, "ordinal_position": 130}, {"identifier": "C48", "position": [1, 1], "step": 130, "ordinal_position": 131}, {"identifier": "C40", "position": [2, 1], "step": 131, "ordinal_position": 132}, {"identifier": "J14", "position": [3, 1], "step": 132, "ordinal_position": 133}, {"identifier": "V03", "position": [4, 1], "step": 133, "ordinal_position": 134}, {"identifier": "Q57", "position": [5, 1], "step": 134, "ordinal_position": 135}, {"identifier": "D57", "position": [5, 2], "step": 135, "ordinal_position": 136}, {"identifier": "D72", "position": [5, 3], "step": 136, "ordinal_position": 137}, {"identifier": "X60", "position": [5, 4], "step": 137, "ordinal_position": 138}, {"identifier": "G64", "position": [5, 5], "step": 138, "ordinal_position": 139}, {"identifier": "I61", "position": [4, 5], "step": 139, "ordinal_position": 140}, {"identifier": "R35", "position": [3, 5], "step": 140, "ordinal_position": 141}, {"identifier": "E60", "position": [2, 5], "step": 141, "ordinal_position": 142}, {"identifier": "N91", "position": [1, 5], "step": 142, "ordinal_position": 143}, {"identifier": "I17", "position": [1, 4], "step": 143, "ordinal_position": 144}, {"identifier": "S17", "position": [1, 3], "step": 144, "ordinal_position": 145}, {"identifier": "A76", "position": [1, 2], "step": 145, "ordinal_position": 146}, {"identifier": "C48", "position": [1, 1], "step": 146, "ordinal_position": 147}, {"identifier": "C40", "position": [2, 1], "step": 147, "ordinal_position": 148}, {"identifier": "J14", "position": [3, 1], "step": 148, "ordinal_position": 149}, {"identifier": "V03", "position": [4, 1], "step": 149, "ordinal_position": 150}, {"identifier": "Q57", "position": [5, 1], "step": 150, "ordinal_position": 151}, {"identifier": "D57", "position": [5, 2], "step": 151, "ordinal_position": 152}, {"identifier": "D72", "position": [5, 3], "step": 152, "ordinal_position": 153}, {"identifier": "X60", "position": [5, 4], "step": 153, "ordinal_position": 154}, {"identifier": "G64", "position": [5, 5], "step": 154, "ordinal_position": 155}, {"identifier": "I61", "position": [4, 5], "step": 155, "ordinal_position": 156}, {"identifier": "R35", "position": [3, 5], "step": 156, "ordinal_position": 157}, {"identifier": "E60", "position": [2, 5], "step": 157, "ordinal_position": 158}, {"identifier": "N91", "position": [1, 5], "step": 158, "ordinal_position": 159}, {"identifier": "I17", "position": [1, 4], "step": 159, "ordinal_position": 160}, {"identifier": "S17", "position": [1, 3], "step": 160, "ordinal_position": 161}, {"identifier": "A76", "position": [1, 2], "step": 161, "ordinal_position": 162}, {"identifier": "C48", "position": [1, 1], "step": 162, "ordinal_position": 163}, {"identifier": "C40", "position": [2, 1], "step": 163, "ordinal_position": 164}, {"identifier": "J14", "position": [3, 1], "step": 164, "ordinal_position": 165}, {"identifier": "V03", "position": [4, 1], "step": 165, "ordinal_position": 166}, {"identifier": "Q57", "position": [5, 1], "step": 166, "ordinal_position": 167}, {"identifier": "D57", "position": [5, 2], "step": 167, "ordinal_position": 168}, {"identifier": "D72", "position": [5, 3], "step": 168, "ordinal_position": 169}, {"identifier": "X60", 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181, "ordinal_position": 182}, {"identifier": "Q57", "position": [5, 1], "step": 182, "ordinal_position": 183}, {"identifier": "D57", "position": [5, 2], "step": 183, "ordinal_position": 184}, {"identifier": "D72", "position": [5, 3], "step": 184, "ordinal_position": 185}, {"identifier": "X60", "position": [5, 4], "step": 185, "ordinal_position": 186}, {"identifier": "G64", "position": [5, 5], "step": 186, "ordinal_position": 187}, {"identifier": "I61", "position": [4, 5], "step": 187, "ordinal_position": 188}, {"identifier": "R35", "position": [3, 5], "step": 188, "ordinal_position": 189}, {"identifier": "E60", "position": [2, 5], "step": 189, "ordinal_position": 190}, {"identifier": "N91", "position": [1, 5], "step": 190, "ordinal_position": 191}, {"identifier": "I17", "position": [1, 4], "step": 191, "ordinal_position": 192}, {"identifier": "S17", "position": [1, 3], "step": 192, "ordinal_position": 193}, {"identifier": "A76", "position": [1, 2], "step": 193, "ordinal_position": 194}, {"identifier": "C48", "position": [1, 1], "step": 194, "ordinal_position": 195}, {"identifier": "C40", "position": [2, 1], "step": 195, "ordinal_position": 196}, {"identifier": "J14", "position": [3, 1], "step": 196, "ordinal_position": 197}, {"identifier": "V03", "position": [4, 1], "step": 197, "ordinal_position": 198}, {"identifier": "Q57", "position": [5, 1], "step": 198, "ordinal_position": 199}, {"identifier": "D57", "position": [5, 2], "step": 199, "ordinal_position": 200}, {"identifier": "D72", "position": [5, 3], "step": 200, "ordinal_position": 201}, {"identifier": "X60", "position": [5, 4], "step": 201, "ordinal_position": 202}, {"identifier": "G64", "position": [5, 5], "step": 202, "ordinal_position": 203}, {"identifier": "I61", "position": [4, 5], "step": 203, "ordinal_position": 204}, {"identifier": "R35", "position": [3, 5], "step": 204, "ordinal_position": 205}, {"identifier": "E60", "position": [2, 5], "step": 205, "ordinal_position": 206}, {"identifier": "N91", "position": [1, 5], "step": 206, "ordinal_position": 207}, {"identifier": "I17", "position": [1, 4], "step": 207, "ordinal_position": 208}, {"identifier": "S17", "position": [1, 3], "step": 208, "ordinal_position": 209}, {"identifier": "A76", "position": [1, 2], "step": 209, "ordinal_position": 210}, {"identifier": "C48", "position": [1, 1], "step": 210, "ordinal_position": 211}, {"identifier": "C40", "position": [2, 1], "step": 211, "ordinal_position": 212}, {"identifier": "J14", "position": [3, 1], "step": 212, "ordinal_position": 213}, {"identifier": "V03", "position": [4, 1], "step": 213, "ordinal_position": 214}, {"identifier": "Q57", "position": [5, 1], "step": 214, "ordinal_position": 215}, {"identifier": "D57", "position": [5, 2], "step": 215, "ordinal_position": 216}, {"identifier": "D72", "position": [5, 3], "step": 216, "ordinal_position": 217}, {"identifier": "X60", "position": [5, 4], "step": 217, "ordinal_position": 218}, {"identifier": "G64", "position": [5, 5], "step": 218, "ordinal_position": 219}, {"identifier": "I61", "position": [4, 5], "step": 219, "ordinal_position": 220}, {"identifier": "R35", "position": [3, 5], "step": 220, "ordinal_position": 221}, {"identifier": "E60", "position": [2, 5], "step": 221, "ordinal_position": 222}, {"identifier": "N91", "position": [1, 5], "step": 222, "ordinal_position": 223}, {"identifier": "I17", "position": [1, 4], "step": 223, "ordinal_position": 224}, {"identifier": "S17", "position": [1, 3], "step": 224, "ordinal_position": 225}, {"identifier": "A76", "position": [1, 2], "step": 225, "ordinal_position": 226}, {"identifier": "C48", "position": [1, 1], "step": 226, "ordinal_position": 227}, {"identifier": "C40", "position": [2, 1], "step": 227, "ordinal_position": 228}, {"identifier": "J14", "position": [3, 1], "step": 228, "ordinal_position": 229}, {"identifier": "V03", "position": [4, 1], "step": 229, "ordinal_position": 230}, {"identifier": "Q57", "position": [5, 1], "step": 230, "ordinal_position": 231}, {"identifier": "D57", "position": [5, 2], "step": 231, "ordinal_position": 232}, {"identifier": "D72", "position": [5, 3], "step": 232, "ordinal_position": 233}, {"identifier": "X60", "position": [5, 4], "step": 233, "ordinal_position": 234}, {"identifier": "G64", "position": [5, 5], "step": 234, "ordinal_position": 235}, {"identifier": "I61", "position": [4, 5], "step": 235, "ordinal_position": 236}, {"identifier": "R35", "position": [3, 5], "step": 236, "ordinal_position": 237}, {"identifier": "E60", "position": [2, 5], "step": 237, "ordinal_position": 238}, {"identifier": "N91", "position": [1, 5], "step": 238, "ordinal_position": 239}, {"identifier": "I17", "position": [1, 4], "step": 239, "ordinal_position": 240}, {"identifier": "S17", "position": [1, 3], "step": 240, "ordinal_position": 241}, {"identifier": "A76", "position": [1, 2], "step": 241, "ordinal_position": 242}, {"identifier": "C48", "position": [1, 1], "step": 242, "ordinal_position": 243}, {"identifier": "C40", "position": [2, 1], "step": 243, "ordinal_position": 244}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 244, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_012.json"}} {"qa_id": "c6bb09fb227e4605a66623761b23cf0a", "image_id": "L3-MazeLoop-test_7x7_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J14, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 145th position in this traversal?", "start_object_id": "J14", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [145], "ordinal_strings": ["145th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "J14", "traversal_path": [{"identifier": "J14", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "C40", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "C48", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "A76", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "S17", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "I17", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "N91", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "E60", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "R35", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "I61", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "G64", "position": [5, 5], "step": 10, "ordinal_position": 11}, {"identifier": "X60", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "D72", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "D57", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "Q57", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "V03", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "J14", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "C40", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "C48", "position": [1, 1], "step": 18, "ordinal_position": 19}, {"identifier": "A76", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "S17", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "I17", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "N91", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "E60", "position": [2, 5], "step": 23, "ordinal_position": 24}, {"identifier": "R35", "position": [3, 5], "step": 24, "ordinal_position": 25}, {"identifier": "I61", "position": [4, 5], "step": 25, "ordinal_position": 26}, {"identifier": "G64", "position": [5, 5], "step": 26, "ordinal_position": 27}, {"identifier": "X60", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "D72", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "D57", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "Q57", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "V03", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "J14", "position": [3, 1], "step": 32, "ordinal_position": 33}, {"identifier": "C40", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "C48", "position": [1, 1], "step": 34, "ordinal_position": 35}, {"identifier": "A76", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "S17", "position": [1, 3], "step": 36, "ordinal_position": 37}, {"identifier": "I17", "position": [1, 4], "step": 37, "ordinal_position": 38}, {"identifier": "N91", "position": [1, 5], "step": 38, "ordinal_position": 39}, {"identifier": "E60", "position": [2, 5], "step": 39, "ordinal_position": 40}, {"identifier": "R35", "position": [3, 5], "step": 40, "ordinal_position": 41}, {"identifier": "I61", "position": [4, 5], "step": 41, "ordinal_position": 42}, {"identifier": "G64", "position": [5, 5], "step": 42, "ordinal_position": 43}, {"identifier": "X60", "position": [5, 4], "step": 43, "ordinal_position": 44}, {"identifier": "D72", "position": [5, 3], "step": 44, "ordinal_position": 45}, {"identifier": "D57", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "Q57", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "V03", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "J14", "position": [3, 1], "step": 48, "ordinal_position": 49}, {"identifier": "C40", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "C48", "position": [1, 1], "step": 50, "ordinal_position": 51}, {"identifier": "A76", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "S17", "position": [1, 3], "step": 52, "ordinal_position": 53}, {"identifier": "I17", "position": [1, 4], "step": 53, "ordinal_position": 54}, {"identifier": "N91", "position": [1, 5], "step": 54, "ordinal_position": 55}, {"identifier": "E60", "position": [2, 5], "step": 55, "ordinal_position": 56}, {"identifier": "R35", "position": [3, 5], "step": 56, "ordinal_position": 57}, {"identifier": "I61", "position": [4, 5], "step": 57, "ordinal_position": 58}, {"identifier": "G64", "position": [5, 5], "step": 58, "ordinal_position": 59}, {"identifier": "X60", "position": [5, 4], "step": 59, "ordinal_position": 60}, {"identifier": "D72", "position": [5, 3], "step": 60, "ordinal_position": 61}, {"identifier": "D57", "position": [5, 2], "step": 61, "ordinal_position": 62}, {"identifier": "Q57", "position": [5, 1], "step": 62, "ordinal_position": 63}, {"identifier": "V03", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "J14", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "C40", "position": [2, 1], "step": 65, "ordinal_position": 66}, {"identifier": "C48", "position": [1, 1], "step": 66, "ordinal_position": 67}, {"identifier": "A76", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "S17", "position": [1, 3], "step": 68, "ordinal_position": 69}, {"identifier": "I17", "position": [1, 4], "step": 69, "ordinal_position": 70}, {"identifier": "N91", "position": [1, 5], "step": 70, "ordinal_position": 71}, {"identifier": "E60", "position": [2, 5], "step": 71, "ordinal_position": 72}, {"identifier": "R35", "position": [3, 5], "step": 72, "ordinal_position": 73}, {"identifier": "I61", "position": [4, 5], "step": 73, "ordinal_position": 74}, {"identifier": "G64", "position": [5, 5], "step": 74, "ordinal_position": 75}, {"identifier": "X60", "position": [5, 4], "step": 75, "ordinal_position": 76}, {"identifier": "D72", "position": [5, 3], "step": 76, "ordinal_position": 77}, {"identifier": "D57", "position": [5, 2], "step": 77, "ordinal_position": 78}, {"identifier": "Q57", "position": [5, 1], "step": 78, "ordinal_position": 79}, {"identifier": "V03", "position": [4, 1], "step": 79, "ordinal_position": 80}, {"identifier": "J14", "position": [3, 1], "step": 80, "ordinal_position": 81}, {"identifier": "C40", "position": [2, 1], "step": 81, "ordinal_position": 82}, {"identifier": "C48", "position": [1, 1], "step": 82, "ordinal_position": 83}, {"identifier": "A76", "position": [1, 2], "step": 83, "ordinal_position": 84}, {"identifier": "S17", "position": [1, 3], "step": 84, "ordinal_position": 85}, {"identifier": "I17", "position": [1, 4], "step": 85, "ordinal_position": 86}, {"identifier": "N91", "position": [1, 5], "step": 86, "ordinal_position": 87}, {"identifier": "E60", "position": [2, 5], "step": 87, "ordinal_position": 88}, {"identifier": "R35", "position": [3, 5], "step": 88, "ordinal_position": 89}, {"identifier": "I61", "position": [4, 5], "step": 89, "ordinal_position": 90}, {"identifier": "G64", "position": [5, 5], "step": 90, "ordinal_position": 91}, {"identifier": "X60", "position": [5, 4], "step": 91, "ordinal_position": 92}, {"identifier": "D72", "position": [5, 3], "step": 92, "ordinal_position": 93}, {"identifier": "D57", "position": [5, 2], "step": 93, "ordinal_position": 94}, {"identifier": "Q57", "position": [5, 1], "step": 94, "ordinal_position": 95}, {"identifier": "V03", "position": [4, 1], "step": 95, "ordinal_position": 96}, {"identifier": "J14", "position": [3, 1], "step": 96, "ordinal_position": 97}, {"identifier": "C40", "position": [2, 1], "step": 97, "ordinal_position": 98}, {"identifier": "C48", "position": [1, 1], "step": 98, "ordinal_position": 99}, {"identifier": "A76", "position": [1, 2], "step": 99, "ordinal_position": 100}, {"identifier": "S17", "position": [1, 3], "step": 100, "ordinal_position": 101}, {"identifier": "I17", "position": [1, 4], "step": 101, "ordinal_position": 102}, {"identifier": "N91", "position": [1, 5], "step": 102, "ordinal_position": 103}, {"identifier": "E60", "position": [2, 5], "step": 103, "ordinal_position": 104}, {"identifier": "R35", "position": [3, 5], "step": 104, "ordinal_position": 105}, {"identifier": "I61", "position": [4, 5], "step": 105, "ordinal_position": 106}, {"identifier": "G64", "position": [5, 5], "step": 106, "ordinal_position": 107}, {"identifier": "X60", "position": [5, 4], "step": 107, "ordinal_position": 108}, {"identifier": "D72", "position": [5, 3], "step": 108, "ordinal_position": 109}, {"identifier": "D57", "position": [5, 2], "step": 109, "ordinal_position": 110}, {"identifier": "Q57", "position": [5, 1], "step": 110, "ordinal_position": 111}, {"identifier": "V03", "position": [4, 1], "step": 111, "ordinal_position": 112}, {"identifier": "J14", "position": [3, 1], "step": 112, "ordinal_position": 113}, {"identifier": "C40", "position": [2, 1], "step": 113, "ordinal_position": 114}, {"identifier": "C48", "position": [1, 1], "step": 114, "ordinal_position": 115}, {"identifier": "A76", "position": [1, 2], "step": 115, "ordinal_position": 116}, {"identifier": "S17", "position": [1, 3], "step": 116, "ordinal_position": 117}, {"identifier": "I17", "position": [1, 4], "step": 117, "ordinal_position": 118}, {"identifier": "N91", "position": [1, 5], "step": 118, "ordinal_position": 119}, {"identifier": "E60", "position": [2, 5], "step": 119, "ordinal_position": 120}, {"identifier": "R35", "position": [3, 5], "step": 120, "ordinal_position": 121}, {"identifier": "I61", "position": [4, 5], "step": 121, "ordinal_position": 122}, {"identifier": "G64", "position": [5, 5], "step": 122, "ordinal_position": 123}, {"identifier": "X60", "position": [5, 4], "step": 123, "ordinal_position": 124}, {"identifier": "D72", "position": [5, 3], "step": 124, "ordinal_position": 125}, {"identifier": "D57", "position": [5, 2], "step": 125, "ordinal_position": 126}, {"identifier": "Q57", "position": [5, 1], "step": 126, "ordinal_position": 127}, {"identifier": "V03", "position": [4, 1], "step": 127, "ordinal_position": 128}, {"identifier": "J14", "position": [3, 1], "step": 128, "ordinal_position": 129}, {"identifier": "C40", "position": [2, 1], "step": 129, "ordinal_position": 130}, {"identifier": "C48", "position": [1, 1], "step": 130, "ordinal_position": 131}, {"identifier": "A76", "position": [1, 2], "step": 131, "ordinal_position": 132}, {"identifier": "S17", "position": [1, 3], "step": 132, "ordinal_position": 133}, {"identifier": "I17", "position": [1, 4], "step": 133, "ordinal_position": 134}, {"identifier": "N91", "position": [1, 5], "step": 134, "ordinal_position": 135}, {"identifier": "E60", "position": [2, 5], "step": 135, "ordinal_position": 136}, {"identifier": "R35", "position": [3, 5], "step": 136, "ordinal_position": 137}, {"identifier": "I61", "position": [4, 5], "step": 137, "ordinal_position": 138}, {"identifier": "G64", "position": [5, 5], "step": 138, "ordinal_position": 139}, {"identifier": "X60", "position": [5, 4], "step": 139, "ordinal_position": 140}, {"identifier": "D72", "position": [5, 3], "step": 140, "ordinal_position": 141}, {"identifier": "D57", "position": [5, 2], "step": 141, "ordinal_position": 142}, {"identifier": "Q57", "position": [5, 1], "step": 142, "ordinal_position": 143}, {"identifier": "V03", "position": [4, 1], "step": 143, "ordinal_position": 144}, {"identifier": "J14", "position": [3, 1], "step": 144, "ordinal_position": 145}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 145, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_012.json"}} {"qa_id": "696ce3686f32459d8a5267eb75356a57", "image_id": "L3-MazeLoop-test_7x7_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R60, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "R60", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "R59", "traversal_path": [{"identifier": "R60", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "D47", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "X10", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "R59", "position": [3, 1], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_013.json"}} {"qa_id": "76847288d95c4cf4b1afc51424701a5a", "image_id": "L3-MazeLoop-test_7x7_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O57, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "O57", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K74", "traversal_path": [{"identifier": "O57", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "S47", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "M85", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "O17", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "K51", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "W51", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "K74", "position": [2, 5], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_013.json"}} {"qa_id": "b8820c8f11814d589333ba01f7fb9fed", "image_id": "L3-MazeLoop-test_7x7_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O57, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "O57", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "X10", "traversal_path": [{"identifier": "O57", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "R59", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "X10", "position": [4, 1], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 3, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_013.json"}} {"qa_id": "5958e7755ab4444799ce2d679a817d09", "image_id": "L3-MazeLoop-test_7x7_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R59, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "R59", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "R60", "traversal_path": [{"identifier": "R59", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "X10", "position": [4, 1], "step": 1, "ordinal_position": 2}, {"identifier": "D47", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "R60", "position": [5, 2], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_013.json"}} {"qa_id": "a4724f65d84c4b728c7bd6b6b8b348f1", "image_id": "L3-MazeLoop-test_7x7_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T93, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "T93", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "D47", "traversal_path": [{"identifier": "T93", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "J58", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "R60", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "D47", "position": [5, 1], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_013.json"}} {"qa_id": "437786da2bb84935a807466391f43bf3", "image_id": "L3-MazeLoop-test_7x7_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O91, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 91st position in this traversal?", "start_object_id": "O91", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [91], "ordinal_strings": ["91st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K51", "traversal_path": [{"identifier": "O91", "position": [4, 3], "step": 0, "ordinal_position": 1}, {"identifier": "J58", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "R60", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "D47", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "X10", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "R59", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "O57", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "S47", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "M85", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "O17", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "K51", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "W51", "position": [1, 5], "step": 11, "ordinal_position": 12}, {"identifier": "K74", "position": [2, 5], "step": 12, "ordinal_position": 13}, {"identifier": "F71", "position": [3, 5], "step": 13, "ordinal_position": 14}, {"identifier": "R88", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "L29", "position": [5, 5], "step": 15, "ordinal_position": 16}, {"identifier": "T93", "position": [5, 4], "step": 16, "ordinal_position": 17}, {"identifier": "J58", "position": [5, 3], "step": 17, "ordinal_position": 18}, {"identifier": "R60", "position": [5, 2], "step": 18, "ordinal_position": 19}, {"identifier": "D47", "position": [5, 1], "step": 19, "ordinal_position": 20}, {"identifier": "X10", "position": [4, 1], "step": 20, "ordinal_position": 21}, {"identifier": "R59", "position": [3, 1], "step": 21, "ordinal_position": 22}, {"identifier": "O57", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "S47", "position": [1, 1], "step": 23, "ordinal_position": 24}, {"identifier": "M85", "position": [1, 2], "step": 24, "ordinal_position": 25}, {"identifier": "O17", "position": [1, 3], "step": 25, "ordinal_position": 26}, {"identifier": "K51", "position": [1, 4], "step": 26, "ordinal_position": 27}, {"identifier": "W51", "position": [1, 5], "step": 27, "ordinal_position": 28}, {"identifier": "K74", "position": [2, 5], "step": 28, "ordinal_position": 29}, {"identifier": "F71", "position": [3, 5], "step": 29, "ordinal_position": 30}, {"identifier": "R88", "position": [4, 5], "step": 30, "ordinal_position": 31}, {"identifier": "L29", "position": [5, 5], "step": 31, "ordinal_position": 32}, {"identifier": "T93", "position": [5, 4], "step": 32, "ordinal_position": 33}, {"identifier": "J58", "position": [5, 3], "step": 33, "ordinal_position": 34}, {"identifier": "R60", "position": [5, 2], "step": 34, "ordinal_position": 35}, {"identifier": "D47", "position": [5, 1], "step": 35, "ordinal_position": 36}, {"identifier": "X10", "position": [4, 1], "step": 36, "ordinal_position": 37}, {"identifier": "R59", "position": [3, 1], "step": 37, "ordinal_position": 38}, {"identifier": "O57", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "S47", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "M85", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "O17", "position": [1, 3], "step": 41, "ordinal_position": 42}, {"identifier": "K51", "position": [1, 4], "step": 42, "ordinal_position": 43}, {"identifier": "W51", "position": [1, 5], "step": 43, "ordinal_position": 44}, {"identifier": "K74", "position": [2, 5], "step": 44, "ordinal_position": 45}, {"identifier": "F71", "position": [3, 5], "step": 45, "ordinal_position": 46}, {"identifier": "R88", "position": [4, 5], "step": 46, "ordinal_position": 47}, {"identifier": "L29", "position": [5, 5], "step": 47, "ordinal_position": 48}, {"identifier": "T93", "position": [5, 4], "step": 48, "ordinal_position": 49}, {"identifier": "J58", "position": [5, 3], "step": 49, "ordinal_position": 50}, {"identifier": "R60", "position": [5, 2], "step": 50, "ordinal_position": 51}, {"identifier": "D47", "position": [5, 1], "step": 51, "ordinal_position": 52}, {"identifier": "X10", "position": [4, 1], "step": 52, "ordinal_position": 53}, {"identifier": "R59", "position": [3, 1], "step": 53, "ordinal_position": 54}, {"identifier": "O57", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "S47", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "M85", "position": [1, 2], "step": 56, "ordinal_position": 57}, {"identifier": "O17", "position": [1, 3], "step": 57, "ordinal_position": 58}, {"identifier": "K51", "position": [1, 4], "step": 58, "ordinal_position": 59}, {"identifier": "W51", "position": [1, 5], "step": 59, "ordinal_position": 60}, {"identifier": "K74", "position": [2, 5], "step": 60, "ordinal_position": 61}, {"identifier": "F71", "position": [3, 5], "step": 61, "ordinal_position": 62}, {"identifier": "R88", "position": [4, 5], "step": 62, "ordinal_position": 63}, {"identifier": "L29", "position": [5, 5], "step": 63, "ordinal_position": 64}, {"identifier": "T93", "position": [5, 4], "step": 64, "ordinal_position": 65}, {"identifier": "J58", "position": [5, 3], "step": 65, "ordinal_position": 66}, {"identifier": "R60", "position": [5, 2], "step": 66, "ordinal_position": 67}, {"identifier": "D47", "position": [5, 1], "step": 67, "ordinal_position": 68}, {"identifier": "X10", "position": [4, 1], "step": 68, "ordinal_position": 69}, {"identifier": "R59", "position": [3, 1], "step": 69, "ordinal_position": 70}, {"identifier": "O57", "position": [2, 1], "step": 70, "ordinal_position": 71}, {"identifier": "S47", "position": [1, 1], "step": 71, "ordinal_position": 72}, {"identifier": "M85", "position": [1, 2], "step": 72, "ordinal_position": 73}, {"identifier": "O17", "position": [1, 3], "step": 73, "ordinal_position": 74}, {"identifier": "K51", "position": [1, 4], "step": 74, "ordinal_position": 75}, {"identifier": "W51", "position": [1, 5], "step": 75, "ordinal_position": 76}, {"identifier": "K74", "position": [2, 5], "step": 76, "ordinal_position": 77}, {"identifier": "F71", "position": [3, 5], "step": 77, "ordinal_position": 78}, {"identifier": "R88", "position": [4, 5], "step": 78, "ordinal_position": 79}, {"identifier": "L29", "position": [5, 5], "step": 79, "ordinal_position": 80}, {"identifier": "T93", "position": [5, 4], "step": 80, "ordinal_position": 81}, {"identifier": "J58", "position": [5, 3], "step": 81, "ordinal_position": 82}, {"identifier": "R60", "position": [5, 2], "step": 82, "ordinal_position": 83}, {"identifier": "D47", "position": [5, 1], "step": 83, "ordinal_position": 84}, {"identifier": "X10", "position": [4, 1], "step": 84, "ordinal_position": 85}, {"identifier": "R59", "position": [3, 1], "step": 85, "ordinal_position": 86}, {"identifier": "O57", "position": [2, 1], "step": 86, "ordinal_position": 87}, {"identifier": "S47", "position": [1, 1], "step": 87, "ordinal_position": 88}, {"identifier": "M85", "position": [1, 2], "step": 88, "ordinal_position": 89}, {"identifier": "O17", "position": [1, 3], "step": 89, "ordinal_position": 90}, {"identifier": "K51", "position": [1, 4], "step": 90, "ordinal_position": 91}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 91, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_013.json"}} {"qa_id": "d94257c2c98247fe9a09e4b141968abd", "image_id": "L3-MazeLoop-test_7x7_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G00, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 14th position in this traversal?", "start_object_id": "G00", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [14], "ordinal_strings": ["14th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "S47", "traversal_path": [{"identifier": "G00", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "E80", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "O91", "position": [4, 3], "step": 2, "ordinal_position": 3}, {"identifier": "J58", "position": [5, 3], "step": 3, "ordinal_position": 4}, {"identifier": "T93", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "L29", "position": [5, 5], "step": 5, "ordinal_position": 6}, {"identifier": "R88", "position": [4, 5], "step": 6, "ordinal_position": 7}, {"identifier": "F71", "position": [3, 5], "step": 7, "ordinal_position": 8}, {"identifier": "K74", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "W51", "position": [1, 5], "step": 9, "ordinal_position": 10}, {"identifier": "K51", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "O17", "position": [1, 3], "step": 11, "ordinal_position": 12}, {"identifier": "M85", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "S47", "position": [1, 1], "step": 13, "ordinal_position": 14}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 14, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_013.json"}} {"qa_id": "c6c50af3bc2d44f8984f28b002522a4c", "image_id": "L3-MazeLoop-test_7x7_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M85, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 18th position in this traversal?", "start_object_id": "M85", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [18], "ordinal_strings": ["18th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "S47", "traversal_path": [{"identifier": "M85", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "S47", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "O57", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "R59", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "X10", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "D47", "position": [5, 1], "step": 5, "ordinal_position": 6}, {"identifier": "R60", "position": [5, 2], "step": 6, "ordinal_position": 7}, {"identifier": "J58", "position": [5, 3], "step": 7, "ordinal_position": 8}, {"identifier": "T93", "position": [5, 4], "step": 8, "ordinal_position": 9}, {"identifier": "L29", "position": [5, 5], "step": 9, "ordinal_position": 10}, {"identifier": "R88", "position": [4, 5], "step": 10, "ordinal_position": 11}, {"identifier": "F71", "position": [3, 5], "step": 11, "ordinal_position": 12}, {"identifier": "K74", "position": [2, 5], "step": 12, "ordinal_position": 13}, {"identifier": "W51", "position": [1, 5], "step": 13, "ordinal_position": 14}, {"identifier": "K51", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "O17", "position": [1, 3], "step": 15, "ordinal_position": 16}, {"identifier": "M85", "position": [1, 2], "step": 16, "ordinal_position": 17}, {"identifier": "S47", "position": [1, 1], "step": 17, "ordinal_position": 18}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 18, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_013.json"}} {"qa_id": "f71e42f5538c49beaaed2c5716eec965", "image_id": "L3-MazeLoop-test_7x7_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X10, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 88th position in this traversal?", "start_object_id": "X10", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [88], "ordinal_strings": ["88th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "F71", "traversal_path": [{"identifier": "X10", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "D47", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "R60", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "J58", "position": [5, 3], "step": 3, "ordinal_position": 4}, {"identifier": "T93", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "L29", "position": [5, 5], "step": 5, "ordinal_position": 6}, {"identifier": "R88", "position": [4, 5], "step": 6, "ordinal_position": 7}, {"identifier": "F71", "position": [3, 5], "step": 7, "ordinal_position": 8}, {"identifier": "K74", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "W51", "position": [1, 5], "step": 9, "ordinal_position": 10}, {"identifier": "K51", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "O17", "position": [1, 3], "step": 11, "ordinal_position": 12}, {"identifier": "M85", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "S47", "position": [1, 1], "step": 13, "ordinal_position": 14}, {"identifier": "O57", "position": [2, 1], "step": 14, "ordinal_position": 15}, {"identifier": "R59", "position": [3, 1], "step": 15, "ordinal_position": 16}, {"identifier": "X10", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "D47", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "R60", "position": [5, 2], "step": 18, "ordinal_position": 19}, {"identifier": "J58", "position": [5, 3], "step": 19, "ordinal_position": 20}, {"identifier": "T93", "position": [5, 4], "step": 20, "ordinal_position": 21}, {"identifier": "L29", "position": [5, 5], "step": 21, "ordinal_position": 22}, {"identifier": "R88", "position": [4, 5], "step": 22, "ordinal_position": 23}, {"identifier": "F71", "position": [3, 5], "step": 23, "ordinal_position": 24}, {"identifier": "K74", "position": [2, 5], "step": 24, "ordinal_position": 25}, {"identifier": "W51", "position": [1, 5], "step": 25, "ordinal_position": 26}, {"identifier": "K51", "position": [1, 4], "step": 26, "ordinal_position": 27}, {"identifier": "O17", "position": [1, 3], "step": 27, "ordinal_position": 28}, {"identifier": "M85", "position": [1, 2], "step": 28, "ordinal_position": 29}, {"identifier": "S47", "position": [1, 1], "step": 29, "ordinal_position": 30}, {"identifier": "O57", "position": [2, 1], "step": 30, "ordinal_position": 31}, {"identifier": "R59", "position": [3, 1], "step": 31, "ordinal_position": 32}, {"identifier": "X10", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "D47", "position": [5, 1], "step": 33, "ordinal_position": 34}, {"identifier": "R60", "position": [5, 2], "step": 34, "ordinal_position": 35}, {"identifier": "J58", "position": [5, 3], "step": 35, "ordinal_position": 36}, {"identifier": "T93", "position": [5, 4], "step": 36, "ordinal_position": 37}, {"identifier": "L29", "position": [5, 5], "step": 37, "ordinal_position": 38}, {"identifier": "R88", "position": [4, 5], "step": 38, "ordinal_position": 39}, {"identifier": "F71", "position": [3, 5], "step": 39, "ordinal_position": 40}, {"identifier": "K74", "position": [2, 5], "step": 40, "ordinal_position": 41}, {"identifier": "W51", "position": [1, 5], "step": 41, "ordinal_position": 42}, {"identifier": "K51", "position": [1, 4], "step": 42, "ordinal_position": 43}, {"identifier": "O17", "position": [1, 3], "step": 43, "ordinal_position": 44}, {"identifier": "M85", "position": [1, 2], "step": 44, "ordinal_position": 45}, {"identifier": "S47", "position": [1, 1], "step": 45, "ordinal_position": 46}, {"identifier": "O57", "position": [2, 1], "step": 46, "ordinal_position": 47}, {"identifier": "R59", "position": [3, 1], "step": 47, "ordinal_position": 48}, {"identifier": "X10", "position": [4, 1], "step": 48, "ordinal_position": 49}, {"identifier": "D47", "position": [5, 1], "step": 49, "ordinal_position": 50}, {"identifier": "R60", "position": [5, 2], "step": 50, "ordinal_position": 51}, {"identifier": "J58", "position": [5, 3], "step": 51, "ordinal_position": 52}, {"identifier": "T93", "position": [5, 4], "step": 52, "ordinal_position": 53}, {"identifier": "L29", "position": [5, 5], "step": 53, "ordinal_position": 54}, {"identifier": "R88", "position": [4, 5], "step": 54, "ordinal_position": 55}, {"identifier": "F71", "position": [3, 5], "step": 55, "ordinal_position": 56}, {"identifier": "K74", "position": [2, 5], "step": 56, "ordinal_position": 57}, {"identifier": "W51", "position": [1, 5], "step": 57, "ordinal_position": 58}, {"identifier": "K51", "position": [1, 4], "step": 58, "ordinal_position": 59}, {"identifier": "O17", "position": [1, 3], "step": 59, "ordinal_position": 60}, {"identifier": "M85", "position": [1, 2], "step": 60, "ordinal_position": 61}, {"identifier": "S47", "position": [1, 1], "step": 61, "ordinal_position": 62}, {"identifier": "O57", "position": [2, 1], "step": 62, "ordinal_position": 63}, {"identifier": "R59", "position": [3, 1], "step": 63, "ordinal_position": 64}, {"identifier": "X10", "position": [4, 1], "step": 64, "ordinal_position": 65}, {"identifier": "D47", "position": [5, 1], "step": 65, "ordinal_position": 66}, {"identifier": "R60", "position": [5, 2], "step": 66, "ordinal_position": 67}, {"identifier": "J58", "position": [5, 3], "step": 67, "ordinal_position": 68}, {"identifier": "T93", "position": [5, 4], "step": 68, "ordinal_position": 69}, {"identifier": "L29", "position": [5, 5], "step": 69, "ordinal_position": 70}, {"identifier": "R88", "position": [4, 5], "step": 70, "ordinal_position": 71}, {"identifier": "F71", "position": [3, 5], "step": 71, "ordinal_position": 72}, {"identifier": "K74", "position": [2, 5], "step": 72, "ordinal_position": 73}, {"identifier": "W51", "position": [1, 5], "step": 73, "ordinal_position": 74}, {"identifier": "K51", "position": [1, 4], "step": 74, "ordinal_position": 75}, {"identifier": "O17", "position": [1, 3], "step": 75, "ordinal_position": 76}, {"identifier": "M85", "position": [1, 2], "step": 76, "ordinal_position": 77}, {"identifier": "S47", "position": [1, 1], "step": 77, "ordinal_position": 78}, {"identifier": "O57", "position": [2, 1], "step": 78, "ordinal_position": 79}, {"identifier": "R59", "position": [3, 1], "step": 79, "ordinal_position": 80}, {"identifier": "X10", "position": [4, 1], "step": 80, "ordinal_position": 81}, {"identifier": "D47", "position": [5, 1], "step": 81, "ordinal_position": 82}, {"identifier": "R60", "position": [5, 2], "step": 82, "ordinal_position": 83}, {"identifier": "J58", "position": [5, 3], "step": 83, "ordinal_position": 84}, {"identifier": "T93", "position": [5, 4], "step": 84, "ordinal_position": 85}, {"identifier": "L29", "position": [5, 5], "step": 85, "ordinal_position": 86}, {"identifier": "R88", "position": [4, 5], "step": 86, "ordinal_position": 87}, {"identifier": "F71", "position": [3, 5], "step": 87, "ordinal_position": 88}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 88, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_013.json"}} {"qa_id": "cc74c89f95344b8a8c2b79fcd56d1be1", "image_id": "L3-MazeLoop-test_7x7_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L29, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 22nd position in this traversal?", "start_object_id": "L29", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [22], "ordinal_strings": ["22nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "X10", "traversal_path": [{"identifier": "L29", "position": [5, 5], "step": 0, "ordinal_position": 1}, {"identifier": "T93", "position": [5, 4], "step": 1, "ordinal_position": 2}, {"identifier": "J58", "position": [5, 3], "step": 2, "ordinal_position": 3}, {"identifier": "R60", "position": [5, 2], "step": 3, "ordinal_position": 4}, {"identifier": "D47", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "X10", "position": [4, 1], "step": 5, "ordinal_position": 6}, {"identifier": "R59", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "O57", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "S47", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "M85", "position": [1, 2], "step": 9, "ordinal_position": 10}, {"identifier": "O17", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "K51", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "W51", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "K74", "position": [2, 5], "step": 13, "ordinal_position": 14}, {"identifier": "F71", "position": [3, 5], "step": 14, "ordinal_position": 15}, {"identifier": "R88", "position": [4, 5], "step": 15, "ordinal_position": 16}, {"identifier": "L29", "position": [5, 5], "step": 16, "ordinal_position": 17}, {"identifier": "T93", "position": [5, 4], "step": 17, "ordinal_position": 18}, {"identifier": "J58", "position": [5, 3], "step": 18, "ordinal_position": 19}, {"identifier": "R60", "position": [5, 2], "step": 19, "ordinal_position": 20}, {"identifier": "D47", "position": [5, 1], "step": 20, "ordinal_position": 21}, {"identifier": "X10", "position": [4, 1], "step": 21, "ordinal_position": 22}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 22, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_013.json"}} {"qa_id": "bf943c0f11534b019835aeff1d961370", "image_id": "L3-MazeLoop-test_7x7_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R59, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 275th position in this traversal?", "start_object_id": "R59", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [275], "ordinal_strings": ["275th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "D47", "traversal_path": [{"identifier": "R59", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "X10", "position": [4, 1], "step": 1, "ordinal_position": 2}, {"identifier": "D47", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "R60", "position": [5, 2], "step": 3, "ordinal_position": 4}, {"identifier": "J58", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "T93", "position": [5, 4], "step": 5, "ordinal_position": 6}, {"identifier": "L29", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "R88", "position": [4, 5], "step": 7, "ordinal_position": 8}, {"identifier": "F71", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "K74", "position": [2, 5], "step": 9, "ordinal_position": 10}, {"identifier": "W51", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "K51", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "O17", "position": [1, 3], "step": 12, "ordinal_position": 13}, {"identifier": "M85", "position": [1, 2], "step": 13, "ordinal_position": 14}, {"identifier": "S47", "position": [1, 1], "step": 14, "ordinal_position": 15}, {"identifier": "O57", "position": [2, 1], "step": 15, "ordinal_position": 16}, {"identifier": "R59", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "X10", "position": [4, 1], "step": 17, "ordinal_position": 18}, {"identifier": "D47", "position": [5, 1], "step": 18, "ordinal_position": 19}, {"identifier": "R60", "position": [5, 2], "step": 19, "ordinal_position": 20}, {"identifier": "J58", "position": [5, 3], "step": 20, "ordinal_position": 21}, {"identifier": "T93", "position": [5, 4], "step": 21, "ordinal_position": 22}, {"identifier": "L29", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "R88", "position": [4, 5], "step": 23, "ordinal_position": 24}, {"identifier": "F71", "position": [3, 5], "step": 24, "ordinal_position": 25}, {"identifier": "K74", "position": [2, 5], "step": 25, "ordinal_position": 26}, {"identifier": "W51", "position": [1, 5], "step": 26, "ordinal_position": 27}, {"identifier": "K51", "position": [1, 4], "step": 27, "ordinal_position": 28}, {"identifier": "O17", "position": [1, 3], "step": 28, "ordinal_position": 29}, {"identifier": "M85", "position": [1, 2], "step": 29, "ordinal_position": 30}, {"identifier": "S47", "position": [1, 1], "step": 30, "ordinal_position": 31}, {"identifier": "O57", "position": [2, 1], "step": 31, "ordinal_position": 32}, {"identifier": "R59", "position": [3, 1], "step": 32, "ordinal_position": 33}, {"identifier": "X10", "position": [4, 1], "step": 33, "ordinal_position": 34}, {"identifier": "D47", "position": [5, 1], "step": 34, "ordinal_position": 35}, {"identifier": "R60", "position": [5, 2], "step": 35, "ordinal_position": 36}, {"identifier": "J58", "position": [5, 3], "step": 36, "ordinal_position": 37}, {"identifier": "T93", "position": [5, 4], "step": 37, "ordinal_position": 38}, {"identifier": "L29", "position": [5, 5], "step": 38, "ordinal_position": 39}, {"identifier": "R88", "position": [4, 5], "step": 39, "ordinal_position": 40}, {"identifier": "F71", "position": [3, 5], "step": 40, "ordinal_position": 41}, {"identifier": "K74", "position": [2, 5], "step": 41, "ordinal_position": 42}, {"identifier": "W51", "position": [1, 5], "step": 42, "ordinal_position": 43}, {"identifier": "K51", "position": [1, 4], "step": 43, "ordinal_position": 44}, {"identifier": "O17", "position": [1, 3], "step": 44, "ordinal_position": 45}, {"identifier": "M85", "position": [1, 2], "step": 45, "ordinal_position": 46}, {"identifier": "S47", "position": [1, 1], "step": 46, "ordinal_position": 47}, {"identifier": "O57", "position": [2, 1], "step": 47, "ordinal_position": 48}, {"identifier": "R59", "position": [3, 1], "step": 48, "ordinal_position": 49}, {"identifier": "X10", "position": [4, 1], "step": 49, "ordinal_position": 50}, {"identifier": "D47", "position": [5, 1], "step": 50, "ordinal_position": 51}, {"identifier": "R60", "position": [5, 2], "step": 51, "ordinal_position": 52}, {"identifier": "J58", "position": [5, 3], "step": 52, "ordinal_position": 53}, {"identifier": "T93", "position": [5, 4], "step": 53, "ordinal_position": 54}, {"identifier": "L29", "position": [5, 5], "step": 54, "ordinal_position": 55}, {"identifier": "R88", "position": [4, 5], "step": 55, "ordinal_position": 56}, {"identifier": "F71", "position": [3, 5], "step": 56, "ordinal_position": 57}, {"identifier": "K74", "position": [2, 5], "step": 57, "ordinal_position": 58}, {"identifier": "W51", "position": [1, 5], "step": 58, "ordinal_position": 59}, {"identifier": "K51", "position": [1, 4], "step": 59, "ordinal_position": 60}, {"identifier": "O17", "position": [1, 3], "step": 60, "ordinal_position": 61}, {"identifier": "M85", "position": [1, 2], "step": 61, "ordinal_position": 62}, {"identifier": "S47", "position": [1, 1], "step": 62, "ordinal_position": 63}, {"identifier": "O57", "position": [2, 1], "step": 63, "ordinal_position": 64}, {"identifier": "R59", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "X10", "position": [4, 1], "step": 65, "ordinal_position": 66}, {"identifier": "D47", "position": [5, 1], "step": 66, "ordinal_position": 67}, {"identifier": "R60", "position": [5, 2], "step": 67, "ordinal_position": 68}, {"identifier": "J58", "position": [5, 3], "step": 68, "ordinal_position": 69}, {"identifier": "T93", "position": [5, 4], "step": 69, "ordinal_position": 70}, {"identifier": "L29", "position": [5, 5], "step": 70, "ordinal_position": 71}, {"identifier": "R88", "position": [4, 5], "step": 71, "ordinal_position": 72}, {"identifier": "F71", "position": [3, 5], "step": 72, "ordinal_position": 73}, {"identifier": "K74", "position": [2, 5], "step": 73, "ordinal_position": 74}, {"identifier": "W51", "position": [1, 5], "step": 74, "ordinal_position": 75}, {"identifier": "K51", "position": [1, 4], "step": 75, "ordinal_position": 76}, {"identifier": "O17", "position": [1, 3], "step": 76, "ordinal_position": 77}, {"identifier": "M85", "position": [1, 2], "step": 77, "ordinal_position": 78}, {"identifier": "S47", "position": [1, 1], "step": 78, "ordinal_position": 79}, {"identifier": "O57", "position": [2, 1], "step": 79, "ordinal_position": 80}, {"identifier": "R59", "position": [3, 1], "step": 80, "ordinal_position": 81}, {"identifier": "X10", "position": [4, 1], "step": 81, "ordinal_position": 82}, {"identifier": "D47", "position": [5, 1], "step": 82, "ordinal_position": 83}, {"identifier": "R60", "position": [5, 2], "step": 83, "ordinal_position": 84}, {"identifier": "J58", "position": [5, 3], "step": 84, "ordinal_position": 85}, {"identifier": "T93", "position": [5, 4], "step": 85, "ordinal_position": 86}, {"identifier": "L29", "position": [5, 5], "step": 86, "ordinal_position": 87}, {"identifier": "R88", "position": [4, 5], "step": 87, "ordinal_position": 88}, {"identifier": "F71", "position": [3, 5], "step": 88, "ordinal_position": 89}, {"identifier": "K74", "position": [2, 5], "step": 89, "ordinal_position": 90}, {"identifier": "W51", "position": [1, 5], "step": 90, "ordinal_position": 91}, {"identifier": "K51", "position": [1, 4], "step": 91, "ordinal_position": 92}, {"identifier": "O17", "position": [1, 3], "step": 92, "ordinal_position": 93}, {"identifier": "M85", "position": [1, 2], "step": 93, "ordinal_position": 94}, {"identifier": "S47", "position": [1, 1], "step": 94, "ordinal_position": 95}, {"identifier": "O57", "position": [2, 1], "step": 95, "ordinal_position": 96}, {"identifier": "R59", "position": [3, 1], "step": 96, "ordinal_position": 97}, {"identifier": "X10", "position": [4, 1], "step": 97, "ordinal_position": 98}, {"identifier": "D47", "position": [5, 1], "step": 98, "ordinal_position": 99}, {"identifier": "R60", "position": [5, 2], "step": 99, "ordinal_position": 100}, {"identifier": "J58", "position": [5, 3], "step": 100, "ordinal_position": 101}, {"identifier": "T93", "position": [5, 4], "step": 101, "ordinal_position": 102}, {"identifier": "L29", "position": [5, 5], "step": 102, "ordinal_position": 103}, {"identifier": "R88", "position": [4, 5], "step": 103, "ordinal_position": 104}, {"identifier": "F71", "position": [3, 5], "step": 104, "ordinal_position": 105}, {"identifier": "K74", "position": [2, 5], "step": 105, "ordinal_position": 106}, {"identifier": "W51", "position": [1, 5], "step": 106, "ordinal_position": 107}, {"identifier": "K51", "position": [1, 4], "step": 107, "ordinal_position": 108}, {"identifier": "O17", "position": [1, 3], "step": 108, "ordinal_position": 109}, {"identifier": "M85", "position": [1, 2], "step": 109, "ordinal_position": 110}, {"identifier": "S47", "position": [1, 1], "step": 110, "ordinal_position": 111}, {"identifier": "O57", "position": [2, 1], "step": 111, "ordinal_position": 112}, {"identifier": "R59", "position": [3, 1], "step": 112, "ordinal_position": 113}, {"identifier": "X10", "position": [4, 1], "step": 113, "ordinal_position": 114}, {"identifier": "D47", "position": [5, 1], "step": 114, "ordinal_position": 115}, {"identifier": "R60", "position": [5, 2], "step": 115, "ordinal_position": 116}, {"identifier": "J58", "position": [5, 3], "step": 116, "ordinal_position": 117}, {"identifier": "T93", "position": [5, 4], "step": 117, "ordinal_position": 118}, {"identifier": "L29", "position": [5, 5], "step": 118, "ordinal_position": 119}, {"identifier": "R88", "position": [4, 5], "step": 119, "ordinal_position": 120}, {"identifier": "F71", "position": [3, 5], "step": 120, "ordinal_position": 121}, {"identifier": "K74", "position": [2, 5], "step": 121, "ordinal_position": 122}, {"identifier": "W51", "position": [1, 5], "step": 122, "ordinal_position": 123}, {"identifier": "K51", "position": [1, 4], "step": 123, "ordinal_position": 124}, {"identifier": "O17", "position": [1, 3], "step": 124, "ordinal_position": 125}, {"identifier": "M85", "position": [1, 2], "step": 125, "ordinal_position": 126}, {"identifier": "S47", "position": [1, 1], "step": 126, "ordinal_position": 127}, {"identifier": "O57", "position": [2, 1], "step": 127, "ordinal_position": 128}, {"identifier": "R59", "position": [3, 1], "step": 128, "ordinal_position": 129}, {"identifier": "X10", "position": [4, 1], "step": 129, "ordinal_position": 130}, {"identifier": "D47", "position": [5, 1], "step": 130, "ordinal_position": 131}, {"identifier": "R60", "position": [5, 2], "step": 131, "ordinal_position": 132}, {"identifier": "J58", "position": [5, 3], "step": 132, "ordinal_position": 133}, {"identifier": "T93", "position": [5, 4], "step": 133, "ordinal_position": 134}, {"identifier": "L29", "position": [5, 5], "step": 134, "ordinal_position": 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159, "ordinal_position": 160}, {"identifier": "R59", "position": [3, 1], "step": 160, "ordinal_position": 161}, {"identifier": "X10", "position": [4, 1], "step": 161, "ordinal_position": 162}, {"identifier": "D47", "position": [5, 1], "step": 162, "ordinal_position": 163}, {"identifier": "R60", "position": [5, 2], "step": 163, "ordinal_position": 164}, {"identifier": "J58", "position": [5, 3], "step": 164, "ordinal_position": 165}, {"identifier": "T93", "position": [5, 4], "step": 165, "ordinal_position": 166}, {"identifier": "L29", "position": [5, 5], "step": 166, "ordinal_position": 167}, {"identifier": "R88", "position": [4, 5], "step": 167, "ordinal_position": 168}, {"identifier": "F71", "position": [3, 5], "step": 168, "ordinal_position": 169}, {"identifier": "K74", "position": [2, 5], "step": 169, "ordinal_position": 170}, {"identifier": "W51", "position": [1, 5], "step": 170, "ordinal_position": 171}, {"identifier": "K51", "position": [1, 4], "step": 171, "ordinal_position": 172}, {"identifier": "O17", "position": [1, 3], "step": 172, "ordinal_position": 173}, {"identifier": "M85", "position": [1, 2], "step": 173, "ordinal_position": 174}, {"identifier": "S47", "position": [1, 1], "step": 174, "ordinal_position": 175}, {"identifier": "O57", "position": [2, 1], "step": 175, "ordinal_position": 176}, {"identifier": "R59", "position": [3, 1], "step": 176, "ordinal_position": 177}, {"identifier": "X10", "position": [4, 1], "step": 177, "ordinal_position": 178}, {"identifier": "D47", "position": [5, 1], "step": 178, "ordinal_position": 179}, {"identifier": "R60", "position": [5, 2], "step": 179, "ordinal_position": 180}, {"identifier": "J58", "position": [5, 3], "step": 180, "ordinal_position": 181}, {"identifier": "T93", "position": [5, 4], "step": 181, "ordinal_position": 182}, {"identifier": "L29", "position": [5, 5], "step": 182, "ordinal_position": 183}, {"identifier": "R88", "position": [4, 5], "step": 183, "ordinal_position": 184}, {"identifier": "F71", "position": [3, 5], "step": 184, "ordinal_position": 185}, {"identifier": "K74", "position": [2, 5], "step": 185, "ordinal_position": 186}, {"identifier": "W51", "position": [1, 5], "step": 186, "ordinal_position": 187}, {"identifier": "K51", "position": [1, 4], "step": 187, "ordinal_position": 188}, {"identifier": "O17", "position": [1, 3], "step": 188, "ordinal_position": 189}, {"identifier": "M85", "position": [1, 2], "step": 189, "ordinal_position": 190}, {"identifier": "S47", "position": [1, 1], "step": 190, "ordinal_position": 191}, {"identifier": "O57", "position": [2, 1], "step": 191, "ordinal_position": 192}, {"identifier": "R59", "position": [3, 1], "step": 192, "ordinal_position": 193}, {"identifier": "X10", "position": [4, 1], "step": 193, "ordinal_position": 194}, {"identifier": "D47", "position": [5, 1], "step": 194, "ordinal_position": 195}, {"identifier": "R60", "position": [5, 2], "step": 195, "ordinal_position": 196}, {"identifier": "J58", "position": [5, 3], "step": 196, "ordinal_position": 197}, {"identifier": "T93", "position": [5, 4], "step": 197, "ordinal_position": 198}, {"identifier": "L29", "position": [5, 5], "step": 198, "ordinal_position": 199}, {"identifier": "R88", "position": [4, 5], "step": 199, "ordinal_position": 200}, {"identifier": "F71", "position": [3, 5], "step": 200, "ordinal_position": 201}, {"identifier": "K74", "position": [2, 5], "step": 201, "ordinal_position": 202}, {"identifier": "W51", "position": [1, 5], "step": 202, "ordinal_position": 203}, {"identifier": "K51", "position": [1, 4], "step": 203, "ordinal_position": 204}, {"identifier": "O17", "position": [1, 3], "step": 204, "ordinal_position": 205}, {"identifier": "M85", "position": [1, 2], "step": 205, "ordinal_position": 206}, {"identifier": "S47", "position": [1, 1], "step": 206, "ordinal_position": 207}, {"identifier": "O57", "position": [2, 1], "step": 207, "ordinal_position": 208}, {"identifier": "R59", "position": [3, 1], "step": 208, "ordinal_position": 209}, {"identifier": "X10", "position": [4, 1], "step": 209, "ordinal_position": 210}, {"identifier": "D47", "position": [5, 1], "step": 210, "ordinal_position": 211}, {"identifier": "R60", "position": [5, 2], "step": 211, "ordinal_position": 212}, {"identifier": "J58", "position": [5, 3], "step": 212, "ordinal_position": 213}, {"identifier": "T93", "position": [5, 4], "step": 213, "ordinal_position": 214}, {"identifier": "L29", "position": [5, 5], "step": 214, "ordinal_position": 215}, {"identifier": "R88", "position": [4, 5], "step": 215, "ordinal_position": 216}, {"identifier": "F71", "position": [3, 5], "step": 216, "ordinal_position": 217}, {"identifier": "K74", "position": [2, 5], "step": 217, "ordinal_position": 218}, {"identifier": "W51", "position": [1, 5], "step": 218, "ordinal_position": 219}, {"identifier": "K51", "position": [1, 4], "step": 219, "ordinal_position": 220}, {"identifier": "O17", "position": [1, 3], "step": 220, "ordinal_position": 221}, {"identifier": "M85", "position": [1, 2], "step": 221, "ordinal_position": 222}, {"identifier": "S47", "position": [1, 1], "step": 222, "ordinal_position": 223}, {"identifier": "O57", "position": [2, 1], "step": 223, "ordinal_position": 224}, {"identifier": "R59", "position": [3, 1], "step": 224, "ordinal_position": 225}, {"identifier": "X10", "position": [4, 1], "step": 225, "ordinal_position": 226}, {"identifier": "D47", "position": [5, 1], "step": 226, "ordinal_position": 227}, {"identifier": "R60", "position": [5, 2], "step": 227, "ordinal_position": 228}, {"identifier": "J58", "position": [5, 3], "step": 228, "ordinal_position": 229}, {"identifier": "T93", "position": [5, 4], "step": 229, "ordinal_position": 230}, {"identifier": "L29", "position": [5, 5], "step": 230, "ordinal_position": 231}, {"identifier": "R88", "position": [4, 5], "step": 231, "ordinal_position": 232}, {"identifier": "F71", "position": [3, 5], "step": 232, "ordinal_position": 233}, {"identifier": "K74", "position": [2, 5], "step": 233, "ordinal_position": 234}, {"identifier": "W51", "position": [1, 5], "step": 234, "ordinal_position": 235}, {"identifier": "K51", "position": [1, 4], "step": 235, "ordinal_position": 236}, {"identifier": "O17", "position": [1, 3], "step": 236, "ordinal_position": 237}, {"identifier": "M85", "position": [1, 2], "step": 237, "ordinal_position": 238}, {"identifier": "S47", "position": [1, 1], "step": 238, "ordinal_position": 239}, {"identifier": "O57", "position": [2, 1], "step": 239, "ordinal_position": 240}, {"identifier": "R59", "position": [3, 1], "step": 240, "ordinal_position": 241}, {"identifier": "X10", "position": [4, 1], "step": 241, "ordinal_position": 242}, {"identifier": "D47", "position": [5, 1], "step": 242, "ordinal_position": 243}, {"identifier": "R60", "position": [5, 2], "step": 243, "ordinal_position": 244}, {"identifier": "J58", "position": [5, 3], "step": 244, "ordinal_position": 245}, {"identifier": "T93", "position": [5, 4], "step": 245, "ordinal_position": 246}, {"identifier": "L29", "position": [5, 5], "step": 246, "ordinal_position": 247}, {"identifier": "R88", "position": [4, 5], "step": 247, "ordinal_position": 248}, {"identifier": "F71", "position": [3, 5], "step": 248, "ordinal_position": 249}, {"identifier": "K74", "position": [2, 5], "step": 249, "ordinal_position": 250}, {"identifier": "W51", "position": [1, 5], "step": 250, "ordinal_position": 251}, {"identifier": "K51", "position": [1, 4], "step": 251, "ordinal_position": 252}, {"identifier": "O17", "position": [1, 3], "step": 252, "ordinal_position": 253}, {"identifier": "M85", "position": [1, 2], "step": 253, "ordinal_position": 254}, {"identifier": "S47", "position": [1, 1], "step": 254, "ordinal_position": 255}, {"identifier": "O57", "position": [2, 1], "step": 255, "ordinal_position": 256}, {"identifier": "R59", "position": [3, 1], "step": 256, "ordinal_position": 257}, {"identifier": "X10", "position": [4, 1], "step": 257, "ordinal_position": 258}, {"identifier": "D47", "position": [5, 1], "step": 258, "ordinal_position": 259}, {"identifier": "R60", "position": [5, 2], "step": 259, "ordinal_position": 260}, {"identifier": "J58", "position": [5, 3], "step": 260, "ordinal_position": 261}, {"identifier": "T93", "position": [5, 4], "step": 261, "ordinal_position": 262}, {"identifier": "L29", "position": [5, 5], "step": 262, "ordinal_position": 263}, {"identifier": "R88", "position": [4, 5], "step": 263, "ordinal_position": 264}, {"identifier": "F71", "position": [3, 5], "step": 264, "ordinal_position": 265}, {"identifier": "K74", "position": [2, 5], "step": 265, "ordinal_position": 266}, {"identifier": "W51", "position": [1, 5], "step": 266, "ordinal_position": 267}, {"identifier": "K51", "position": [1, 4], "step": 267, "ordinal_position": 268}, {"identifier": "O17", "position": [1, 3], "step": 268, "ordinal_position": 269}, {"identifier": "M85", "position": [1, 2], "step": 269, "ordinal_position": 270}, {"identifier": "S47", "position": [1, 1], "step": 270, "ordinal_position": 271}, {"identifier": "O57", "position": [2, 1], "step": 271, "ordinal_position": 272}, {"identifier": "R59", "position": [3, 1], "step": 272, "ordinal_position": 273}, {"identifier": "X10", "position": [4, 1], "step": 273, "ordinal_position": 274}, {"identifier": "D47", "position": [5, 1], "step": 274, "ordinal_position": 275}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 275, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_013.json"}} {"qa_id": "a3bc14e9bd2641cf9b6d504553fc5d4b", "image_id": "L3-MazeLoop-test_7x7_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F71, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 242nd position in this traversal?", "start_object_id": "F71", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [242], "ordinal_strings": ["242nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K74", "traversal_path": [{"identifier": "F71", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "K74", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "W51", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "K51", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "O17", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "M85", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "S47", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "O57", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "R59", "position": [3, 1], "step": 8, "ordinal_position": 9}, {"identifier": "X10", "position": [4, 1], "step": 9, "ordinal_position": 10}, {"identifier": "D47", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "R60", "position": [5, 2], "step": 11, "ordinal_position": 12}, {"identifier": "J58", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "T93", "position": [5, 4], "step": 13, "ordinal_position": 14}, {"identifier": "L29", "position": [5, 5], "step": 14, "ordinal_position": 15}, {"identifier": "R88", "position": [4, 5], "step": 15, "ordinal_position": 16}, {"identifier": "F71", "position": [3, 5], "step": 16, "ordinal_position": 17}, {"identifier": "K74", "position": [2, 5], "step": 17, "ordinal_position": 18}, {"identifier": "W51", "position": [1, 5], "step": 18, "ordinal_position": 19}, {"identifier": "K51", "position": [1, 4], "step": 19, "ordinal_position": 20}, {"identifier": "O17", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "M85", "position": [1, 2], "step": 21, "ordinal_position": 22}, {"identifier": "S47", "position": [1, 1], "step": 22, "ordinal_position": 23}, {"identifier": "O57", "position": [2, 1], "step": 23, "ordinal_position": 24}, {"identifier": "R59", "position": [3, 1], "step": 24, "ordinal_position": 25}, {"identifier": "X10", "position": [4, 1], "step": 25, "ordinal_position": 26}, {"identifier": "D47", "position": [5, 1], "step": 26, "ordinal_position": 27}, {"identifier": "R60", "position": [5, 2], "step": 27, "ordinal_position": 28}, {"identifier": "J58", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "T93", "position": [5, 4], "step": 29, "ordinal_position": 30}, {"identifier": "L29", "position": [5, 5], "step": 30, "ordinal_position": 31}, {"identifier": "R88", "position": [4, 5], "step": 31, "ordinal_position": 32}, {"identifier": "F71", "position": [3, 5], "step": 32, "ordinal_position": 33}, {"identifier": "K74", "position": [2, 5], "step": 33, "ordinal_position": 34}, {"identifier": "W51", "position": [1, 5], "step": 34, "ordinal_position": 35}, {"identifier": "K51", "position": [1, 4], "step": 35, "ordinal_position": 36}, {"identifier": "O17", "position": [1, 3], "step": 36, "ordinal_position": 37}, {"identifier": "M85", "position": [1, 2], "step": 37, "ordinal_position": 38}, {"identifier": "S47", "position": [1, 1], "step": 38, "ordinal_position": 39}, {"identifier": "O57", "position": [2, 1], "step": 39, "ordinal_position": 40}, {"identifier": "R59", "position": [3, 1], "step": 40, "ordinal_position": 41}, {"identifier": "X10", "position": [4, 1], "step": 41, "ordinal_position": 42}, {"identifier": "D47", "position": [5, 1], "step": 42, "ordinal_position": 43}, {"identifier": "R60", "position": [5, 2], "step": 43, "ordinal_position": 44}, {"identifier": "J58", "position": [5, 3], "step": 44, "ordinal_position": 45}, {"identifier": "T93", "position": [5, 4], "step": 45, "ordinal_position": 46}, {"identifier": "L29", "position": [5, 5], "step": 46, "ordinal_position": 47}, {"identifier": "R88", "position": [4, 5], "step": 47, "ordinal_position": 48}, {"identifier": "F71", "position": [3, 5], "step": 48, "ordinal_position": 49}, {"identifier": "K74", "position": [2, 5], "step": 49, "ordinal_position": 50}, {"identifier": "W51", "position": [1, 5], "step": 50, "ordinal_position": 51}, {"identifier": "K51", "position": [1, 4], "step": 51, "ordinal_position": 52}, {"identifier": "O17", "position": [1, 3], "step": 52, "ordinal_position": 53}, {"identifier": "M85", "position": [1, 2], "step": 53, "ordinal_position": 54}, {"identifier": "S47", "position": [1, 1], "step": 54, "ordinal_position": 55}, {"identifier": "O57", "position": [2, 1], "step": 55, "ordinal_position": 56}, {"identifier": "R59", "position": [3, 1], "step": 56, "ordinal_position": 57}, {"identifier": "X10", "position": [4, 1], "step": 57, "ordinal_position": 58}, {"identifier": "D47", "position": [5, 1], "step": 58, "ordinal_position": 59}, {"identifier": "R60", "position": [5, 2], "step": 59, "ordinal_position": 60}, {"identifier": "J58", "position": [5, 3], "step": 60, "ordinal_position": 61}, {"identifier": "T93", "position": [5, 4], "step": 61, "ordinal_position": 62}, {"identifier": "L29", "position": [5, 5], "step": 62, "ordinal_position": 63}, {"identifier": "R88", "position": [4, 5], "step": 63, "ordinal_position": 64}, {"identifier": "F71", "position": [3, 5], "step": 64, "ordinal_position": 65}, {"identifier": "K74", "position": [2, 5], "step": 65, "ordinal_position": 66}, {"identifier": "W51", "position": [1, 5], "step": 66, "ordinal_position": 67}, {"identifier": "K51", "position": [1, 4], "step": 67, "ordinal_position": 68}, {"identifier": "O17", "position": [1, 3], "step": 68, "ordinal_position": 69}, {"identifier": "M85", "position": [1, 2], "step": 69, "ordinal_position": 70}, {"identifier": "S47", "position": [1, 1], "step": 70, "ordinal_position": 71}, {"identifier": "O57", "position": [2, 1], "step": 71, "ordinal_position": 72}, {"identifier": "R59", "position": [3, 1], "step": 72, "ordinal_position": 73}, {"identifier": "X10", "position": [4, 1], "step": 73, "ordinal_position": 74}, {"identifier": "D47", "position": [5, 1], "step": 74, "ordinal_position": 75}, {"identifier": "R60", "position": [5, 2], "step": 75, "ordinal_position": 76}, {"identifier": "J58", "position": [5, 3], "step": 76, "ordinal_position": 77}, {"identifier": "T93", "position": [5, 4], "step": 77, "ordinal_position": 78}, {"identifier": "L29", "position": [5, 5], "step": 78, "ordinal_position": 79}, {"identifier": "R88", "position": [4, 5], "step": 79, "ordinal_position": 80}, {"identifier": "F71", "position": [3, 5], "step": 80, "ordinal_position": 81}, {"identifier": "K74", "position": [2, 5], "step": 81, "ordinal_position": 82}, {"identifier": "W51", "position": [1, 5], "step": 82, "ordinal_position": 83}, {"identifier": "K51", "position": [1, 4], "step": 83, "ordinal_position": 84}, {"identifier": "O17", "position": [1, 3], "step": 84, "ordinal_position": 85}, {"identifier": "M85", "position": [1, 2], "step": 85, "ordinal_position": 86}, {"identifier": "S47", "position": [1, 1], "step": 86, "ordinal_position": 87}, {"identifier": "O57", "position": [2, 1], "step": 87, "ordinal_position": 88}, {"identifier": "R59", "position": [3, 1], "step": 88, "ordinal_position": 89}, {"identifier": "X10", "position": [4, 1], "step": 89, "ordinal_position": 90}, {"identifier": "D47", "position": [5, 1], "step": 90, "ordinal_position": 91}, {"identifier": "R60", "position": [5, 2], "step": 91, "ordinal_position": 92}, {"identifier": "J58", "position": [5, 3], "step": 92, "ordinal_position": 93}, {"identifier": "T93", "position": [5, 4], "step": 93, "ordinal_position": 94}, {"identifier": "L29", "position": [5, 5], "step": 94, "ordinal_position": 95}, {"identifier": "R88", "position": [4, 5], "step": 95, "ordinal_position": 96}, {"identifier": "F71", "position": [3, 5], "step": 96, "ordinal_position": 97}, {"identifier": "K74", "position": [2, 5], "step": 97, "ordinal_position": 98}, {"identifier": "W51", "position": [1, 5], "step": 98, "ordinal_position": 99}, {"identifier": "K51", "position": [1, 4], "step": 99, "ordinal_position": 100}, {"identifier": "O17", "position": [1, 3], "step": 100, "ordinal_position": 101}, {"identifier": "M85", "position": [1, 2], "step": 101, "ordinal_position": 102}, {"identifier": "S47", "position": [1, 1], "step": 102, "ordinal_position": 103}, {"identifier": "O57", "position": [2, 1], "step": 103, "ordinal_position": 104}, {"identifier": "R59", "position": [3, 1], "step": 104, "ordinal_position": 105}, {"identifier": "X10", "position": [4, 1], "step": 105, "ordinal_position": 106}, {"identifier": "D47", "position": [5, 1], "step": 106, "ordinal_position": 107}, {"identifier": "R60", "position": [5, 2], "step": 107, "ordinal_position": 108}, {"identifier": "J58", "position": [5, 3], "step": 108, "ordinal_position": 109}, {"identifier": "T93", "position": [5, 4], "step": 109, "ordinal_position": 110}, {"identifier": "L29", "position": [5, 5], "step": 110, "ordinal_position": 111}, {"identifier": "R88", "position": [4, 5], "step": 111, "ordinal_position": 112}, {"identifier": "F71", "position": [3, 5], "step": 112, "ordinal_position": 113}, {"identifier": "K74", "position": [2, 5], "step": 113, "ordinal_position": 114}, {"identifier": "W51", "position": [1, 5], "step": 114, "ordinal_position": 115}, {"identifier": "K51", "position": [1, 4], "step": 115, "ordinal_position": 116}, {"identifier": "O17", "position": [1, 3], "step": 116, "ordinal_position": 117}, {"identifier": "M85", "position": [1, 2], "step": 117, "ordinal_position": 118}, {"identifier": "S47", "position": [1, 1], "step": 118, "ordinal_position": 119}, {"identifier": "O57", "position": [2, 1], "step": 119, "ordinal_position": 120}, {"identifier": "R59", "position": [3, 1], "step": 120, "ordinal_position": 121}, {"identifier": "X10", "position": [4, 1], "step": 121, "ordinal_position": 122}, {"identifier": "D47", "position": [5, 1], "step": 122, "ordinal_position": 123}, {"identifier": "R60", "position": [5, 2], "step": 123, "ordinal_position": 124}, {"identifier": "J58", "position": [5, 3], "step": 124, "ordinal_position": 125}, {"identifier": "T93", "position": [5, 4], "step": 125, "ordinal_position": 126}, {"identifier": "L29", "position": [5, 5], "step": 126, "ordinal_position": 127}, {"identifier": "R88", "position": [4, 5], "step": 127, "ordinal_position": 128}, {"identifier": "F71", "position": [3, 5], "step": 128, "ordinal_position": 129}, {"identifier": "K74", "position": [2, 5], "step": 129, "ordinal_position": 130}, {"identifier": "W51", "position": [1, 5], "step": 130, "ordinal_position": 131}, {"identifier": "K51", "position": [1, 4], "step": 131, "ordinal_position": 132}, {"identifier": "O17", "position": [1, 3], "step": 132, "ordinal_position": 133}, {"identifier": "M85", "position": [1, 2], "step": 133, "ordinal_position": 134}, {"identifier": "S47", "position": [1, 1], "step": 134, "ordinal_position": 135}, {"identifier": "O57", "position": [2, 1], "step": 135, "ordinal_position": 136}, {"identifier": "R59", "position": [3, 1], "step": 136, "ordinal_position": 137}, {"identifier": "X10", "position": [4, 1], "step": 137, "ordinal_position": 138}, {"identifier": "D47", "position": [5, 1], "step": 138, "ordinal_position": 139}, {"identifier": "R60", "position": [5, 2], "step": 139, "ordinal_position": 140}, {"identifier": "J58", "position": [5, 3], "step": 140, "ordinal_position": 141}, {"identifier": "T93", "position": [5, 4], "step": 141, "ordinal_position": 142}, {"identifier": "L29", "position": [5, 5], "step": 142, "ordinal_position": 143}, {"identifier": "R88", "position": [4, 5], "step": 143, "ordinal_position": 144}, {"identifier": "F71", "position": [3, 5], "step": 144, "ordinal_position": 145}, {"identifier": "K74", "position": [2, 5], "step": 145, "ordinal_position": 146}, {"identifier": "W51", "position": [1, 5], "step": 146, "ordinal_position": 147}, {"identifier": "K51", "position": [1, 4], "step": 147, "ordinal_position": 148}, {"identifier": "O17", "position": [1, 3], "step": 148, "ordinal_position": 149}, {"identifier": "M85", "position": [1, 2], "step": 149, "ordinal_position": 150}, {"identifier": "S47", "position": [1, 1], "step": 150, "ordinal_position": 151}, {"identifier": "O57", "position": [2, 1], "step": 151, "ordinal_position": 152}, {"identifier": "R59", "position": [3, 1], "step": 152, "ordinal_position": 153}, {"identifier": "X10", "position": [4, 1], "step": 153, "ordinal_position": 154}, {"identifier": "D47", "position": [5, 1], "step": 154, "ordinal_position": 155}, {"identifier": "R60", "position": [5, 2], "step": 155, "ordinal_position": 156}, {"identifier": "J58", "position": [5, 3], "step": 156, "ordinal_position": 157}, {"identifier": "T93", "position": [5, 4], "step": 157, "ordinal_position": 158}, {"identifier": "L29", "position": [5, 5], "step": 158, "ordinal_position": 159}, {"identifier": "R88", "position": [4, 5], "step": 159, "ordinal_position": 160}, {"identifier": "F71", "position": [3, 5], "step": 160, "ordinal_position": 161}, {"identifier": "K74", "position": [2, 5], "step": 161, "ordinal_position": 162}, {"identifier": "W51", "position": [1, 5], "step": 162, "ordinal_position": 163}, {"identifier": "K51", "position": [1, 4], "step": 163, "ordinal_position": 164}, {"identifier": "O17", "position": [1, 3], "step": 164, "ordinal_position": 165}, {"identifier": "M85", "position": [1, 2], "step": 165, "ordinal_position": 166}, {"identifier": "S47", "position": [1, 1], "step": 166, "ordinal_position": 167}, {"identifier": "O57", "position": [2, 1], "step": 167, "ordinal_position": 168}, {"identifier": "R59", "position": [3, 1], "step": 168, "ordinal_position": 169}, {"identifier": "X10", "position": [4, 1], "step": 169, "ordinal_position": 170}, {"identifier": "D47", "position": [5, 1], "step": 170, "ordinal_position": 171}, {"identifier": "R60", "position": [5, 2], "step": 171, "ordinal_position": 172}, {"identifier": "J58", "position": [5, 3], "step": 172, "ordinal_position": 173}, {"identifier": "T93", "position": [5, 4], "step": 173, "ordinal_position": 174}, {"identifier": "L29", "position": [5, 5], "step": 174, "ordinal_position": 175}, {"identifier": "R88", "position": [4, 5], "step": 175, "ordinal_position": 176}, {"identifier": "F71", "position": [3, 5], "step": 176, "ordinal_position": 177}, {"identifier": "K74", "position": [2, 5], "step": 177, "ordinal_position": 178}, {"identifier": "W51", "position": [1, 5], "step": 178, "ordinal_position": 179}, {"identifier": "K51", "position": [1, 4], "step": 179, "ordinal_position": 180}, {"identifier": "O17", "position": [1, 3], "step": 180, "ordinal_position": 181}, {"identifier": "M85", "position": [1, 2], "step": 181, "ordinal_position": 182}, {"identifier": "S47", "position": [1, 1], "step": 182, "ordinal_position": 183}, {"identifier": "O57", "position": [2, 1], "step": 183, "ordinal_position": 184}, {"identifier": "R59", "position": [3, 1], "step": 184, "ordinal_position": 185}, {"identifier": "X10", "position": [4, 1], "step": 185, "ordinal_position": 186}, {"identifier": "D47", "position": [5, 1], "step": 186, "ordinal_position": 187}, {"identifier": "R60", "position": [5, 2], "step": 187, "ordinal_position": 188}, {"identifier": "J58", "position": [5, 3], "step": 188, "ordinal_position": 189}, {"identifier": "T93", "position": [5, 4], "step": 189, "ordinal_position": 190}, {"identifier": "L29", "position": [5, 5], "step": 190, "ordinal_position": 191}, {"identifier": "R88", "position": [4, 5], "step": 191, "ordinal_position": 192}, {"identifier": "F71", "position": [3, 5], "step": 192, "ordinal_position": 193}, {"identifier": "K74", "position": [2, 5], "step": 193, "ordinal_position": 194}, {"identifier": "W51", "position": [1, 5], "step": 194, "ordinal_position": 195}, {"identifier": "K51", "position": [1, 4], "step": 195, "ordinal_position": 196}, {"identifier": "O17", "position": [1, 3], "step": 196, "ordinal_position": 197}, {"identifier": "M85", "position": [1, 2], "step": 197, "ordinal_position": 198}, {"identifier": "S47", "position": [1, 1], "step": 198, "ordinal_position": 199}, {"identifier": "O57", "position": [2, 1], "step": 199, "ordinal_position": 200}, {"identifier": "R59", "position": [3, 1], "step": 200, "ordinal_position": 201}, {"identifier": "X10", "position": [4, 1], "step": 201, "ordinal_position": 202}, {"identifier": "D47", "position": [5, 1], "step": 202, "ordinal_position": 203}, {"identifier": "R60", "position": [5, 2], "step": 203, "ordinal_position": 204}, {"identifier": "J58", "position": [5, 3], "step": 204, "ordinal_position": 205}, {"identifier": "T93", "position": [5, 4], "step": 205, "ordinal_position": 206}, {"identifier": "L29", "position": [5, 5], "step": 206, "ordinal_position": 207}, {"identifier": "R88", "position": [4, 5], "step": 207, "ordinal_position": 208}, {"identifier": "F71", "position": [3, 5], "step": 208, "ordinal_position": 209}, {"identifier": "K74", "position": [2, 5], "step": 209, "ordinal_position": 210}, {"identifier": "W51", "position": [1, 5], "step": 210, "ordinal_position": 211}, {"identifier": "K51", "position": [1, 4], "step": 211, "ordinal_position": 212}, {"identifier": "O17", "position": [1, 3], "step": 212, "ordinal_position": 213}, {"identifier": "M85", "position": [1, 2], "step": 213, "ordinal_position": 214}, {"identifier": "S47", "position": [1, 1], "step": 214, "ordinal_position": 215}, {"identifier": "O57", "position": [2, 1], "step": 215, "ordinal_position": 216}, {"identifier": "R59", "position": [3, 1], "step": 216, "ordinal_position": 217}, {"identifier": "X10", "position": [4, 1], "step": 217, "ordinal_position": 218}, {"identifier": "D47", "position": [5, 1], "step": 218, "ordinal_position": 219}, {"identifier": "R60", "position": [5, 2], "step": 219, "ordinal_position": 220}, {"identifier": "J58", "position": [5, 3], "step": 220, "ordinal_position": 221}, {"identifier": "T93", "position": [5, 4], "step": 221, "ordinal_position": 222}, {"identifier": "L29", "position": [5, 5], "step": 222, "ordinal_position": 223}, {"identifier": "R88", "position": [4, 5], "step": 223, "ordinal_position": 224}, {"identifier": "F71", "position": [3, 5], "step": 224, "ordinal_position": 225}, {"identifier": "K74", "position": [2, 5], "step": 225, "ordinal_position": 226}, {"identifier": "W51", "position": [1, 5], "step": 226, "ordinal_position": 227}, {"identifier": "K51", "position": [1, 4], "step": 227, "ordinal_position": 228}, {"identifier": "O17", "position": [1, 3], "step": 228, "ordinal_position": 229}, {"identifier": "M85", "position": [1, 2], "step": 229, "ordinal_position": 230}, {"identifier": "S47", "position": [1, 1], "step": 230, "ordinal_position": 231}, {"identifier": "O57", "position": [2, 1], "step": 231, "ordinal_position": 232}, {"identifier": "R59", "position": [3, 1], "step": 232, "ordinal_position": 233}, {"identifier": "X10", "position": [4, 1], "step": 233, "ordinal_position": 234}, {"identifier": "D47", "position": [5, 1], "step": 234, "ordinal_position": 235}, {"identifier": "R60", "position": [5, 2], "step": 235, "ordinal_position": 236}, {"identifier": "J58", "position": [5, 3], "step": 236, "ordinal_position": 237}, {"identifier": "T93", "position": [5, 4], "step": 237, "ordinal_position": 238}, {"identifier": "L29", "position": [5, 5], "step": 238, "ordinal_position": 239}, {"identifier": "R88", "position": [4, 5], "step": 239, "ordinal_position": 240}, {"identifier": "F71", "position": [3, 5], "step": 240, "ordinal_position": 241}, {"identifier": "K74", "position": [2, 5], "step": 241, "ordinal_position": 242}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 242, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_013.json"}} {"qa_id": "53c78e32eaf846559362dbc4aeb69a88", "image_id": "L3-MazeLoop-test_7x7_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K74, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 144th position in this traversal?", "start_object_id": "K74", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [144], "ordinal_strings": ["144th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "F71", "traversal_path": [{"identifier": "K74", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "W51", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "K51", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "O17", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "M85", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "S47", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "O57", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "R59", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "X10", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "D47", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "R60", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "J58", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "T93", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "L29", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "R88", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "F71", "position": [3, 5], "step": 15, "ordinal_position": 16}, {"identifier": "K74", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "W51", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "K51", "position": [1, 4], "step": 18, "ordinal_position": 19}, {"identifier": "O17", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "M85", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "S47", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "O57", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "R59", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "X10", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "D47", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "R60", "position": [5, 2], "step": 26, "ordinal_position": 27}, {"identifier": "J58", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "T93", "position": [5, 4], "step": 28, "ordinal_position": 29}, {"identifier": "L29", "position": [5, 5], "step": 29, "ordinal_position": 30}, {"identifier": "R88", "position": [4, 5], "step": 30, "ordinal_position": 31}, {"identifier": "F71", "position": [3, 5], "step": 31, "ordinal_position": 32}, {"identifier": "K74", "position": [2, 5], "step": 32, "ordinal_position": 33}, {"identifier": "W51", "position": [1, 5], "step": 33, "ordinal_position": 34}, {"identifier": "K51", "position": [1, 4], "step": 34, "ordinal_position": 35}, {"identifier": "O17", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "M85", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "S47", "position": [1, 1], "step": 37, "ordinal_position": 38}, {"identifier": "O57", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "R59", "position": [3, 1], "step": 39, "ordinal_position": 40}, {"identifier": "X10", "position": [4, 1], "step": 40, "ordinal_position": 41}, {"identifier": "D47", "position": [5, 1], "step": 41, "ordinal_position": 42}, {"identifier": "R60", "position": [5, 2], "step": 42, "ordinal_position": 43}, {"identifier": "J58", "position": [5, 3], "step": 43, "ordinal_position": 44}, {"identifier": "T93", "position": [5, 4], "step": 44, "ordinal_position": 45}, {"identifier": "L29", "position": [5, 5], "step": 45, "ordinal_position": 46}, {"identifier": "R88", "position": [4, 5], "step": 46, "ordinal_position": 47}, {"identifier": "F71", "position": [3, 5], "step": 47, "ordinal_position": 48}, {"identifier": "K74", "position": [2, 5], "step": 48, "ordinal_position": 49}, {"identifier": "W51", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "K51", "position": [1, 4], "step": 50, "ordinal_position": 51}, {"identifier": "O17", "position": [1, 3], "step": 51, "ordinal_position": 52}, {"identifier": "M85", "position": [1, 2], "step": 52, "ordinal_position": 53}, {"identifier": "S47", "position": [1, 1], "step": 53, "ordinal_position": 54}, {"identifier": "O57", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "R59", "position": [3, 1], "step": 55, "ordinal_position": 56}, {"identifier": "X10", "position": [4, 1], "step": 56, "ordinal_position": 57}, {"identifier": "D47", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "R60", "position": [5, 2], "step": 58, "ordinal_position": 59}, {"identifier": "J58", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "T93", "position": [5, 4], "step": 60, "ordinal_position": 61}, {"identifier": "L29", "position": [5, 5], "step": 61, "ordinal_position": 62}, {"identifier": "R88", "position": [4, 5], "step": 62, "ordinal_position": 63}, {"identifier": "F71", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "K74", "position": [2, 5], "step": 64, "ordinal_position": 65}, {"identifier": "W51", "position": [1, 5], "step": 65, "ordinal_position": 66}, {"identifier": "K51", "position": [1, 4], "step": 66, "ordinal_position": 67}, {"identifier": "O17", "position": [1, 3], "step": 67, "ordinal_position": 68}, {"identifier": "M85", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "S47", "position": [1, 1], "step": 69, "ordinal_position": 70}, {"identifier": "O57", "position": [2, 1], "step": 70, "ordinal_position": 71}, {"identifier": "R59", "position": [3, 1], "step": 71, "ordinal_position": 72}, {"identifier": "X10", "position": [4, 1], "step": 72, "ordinal_position": 73}, {"identifier": "D47", "position": [5, 1], "step": 73, "ordinal_position": 74}, {"identifier": "R60", "position": [5, 2], "step": 74, "ordinal_position": 75}, {"identifier": "J58", "position": [5, 3], "step": 75, "ordinal_position": 76}, {"identifier": "T93", "position": [5, 4], "step": 76, "ordinal_position": 77}, {"identifier": "L29", "position": [5, 5], "step": 77, "ordinal_position": 78}, {"identifier": "R88", "position": [4, 5], "step": 78, "ordinal_position": 79}, {"identifier": "F71", "position": [3, 5], "step": 79, "ordinal_position": 80}, {"identifier": "K74", "position": [2, 5], "step": 80, "ordinal_position": 81}, {"identifier": "W51", "position": [1, 5], "step": 81, "ordinal_position": 82}, {"identifier": "K51", "position": [1, 4], "step": 82, "ordinal_position": 83}, {"identifier": "O17", "position": [1, 3], "step": 83, "ordinal_position": 84}, {"identifier": "M85", "position": [1, 2], "step": 84, "ordinal_position": 85}, {"identifier": "S47", "position": [1, 1], "step": 85, "ordinal_position": 86}, {"identifier": "O57", "position": [2, 1], "step": 86, "ordinal_position": 87}, {"identifier": "R59", "position": [3, 1], "step": 87, "ordinal_position": 88}, {"identifier": "X10", "position": [4, 1], "step": 88, "ordinal_position": 89}, {"identifier": "D47", "position": [5, 1], "step": 89, "ordinal_position": 90}, {"identifier": "R60", "position": [5, 2], "step": 90, "ordinal_position": 91}, {"identifier": "J58", "position": [5, 3], "step": 91, "ordinal_position": 92}, {"identifier": "T93", "position": [5, 4], "step": 92, "ordinal_position": 93}, {"identifier": "L29", "position": [5, 5], "step": 93, "ordinal_position": 94}, {"identifier": "R88", "position": [4, 5], "step": 94, "ordinal_position": 95}, {"identifier": "F71", "position": [3, 5], "step": 95, "ordinal_position": 96}, {"identifier": "K74", "position": [2, 5], "step": 96, "ordinal_position": 97}, {"identifier": "W51", "position": [1, 5], "step": 97, "ordinal_position": 98}, {"identifier": "K51", "position": [1, 4], "step": 98, "ordinal_position": 99}, {"identifier": "O17", "position": [1, 3], "step": 99, "ordinal_position": 100}, {"identifier": "M85", "position": [1, 2], "step": 100, "ordinal_position": 101}, {"identifier": "S47", "position": [1, 1], "step": 101, "ordinal_position": 102}, {"identifier": "O57", "position": [2, 1], "step": 102, "ordinal_position": 103}, {"identifier": "R59", "position": [3, 1], "step": 103, "ordinal_position": 104}, {"identifier": "X10", "position": [4, 1], "step": 104, "ordinal_position": 105}, {"identifier": "D47", "position": [5, 1], "step": 105, "ordinal_position": 106}, {"identifier": "R60", "position": [5, 2], "step": 106, "ordinal_position": 107}, {"identifier": "J58", "position": [5, 3], "step": 107, "ordinal_position": 108}, {"identifier": "T93", "position": [5, 4], "step": 108, "ordinal_position": 109}, {"identifier": "L29", "position": [5, 5], "step": 109, "ordinal_position": 110}, {"identifier": "R88", "position": [4, 5], "step": 110, "ordinal_position": 111}, {"identifier": "F71", "position": [3, 5], "step": 111, "ordinal_position": 112}, {"identifier": "K74", "position": [2, 5], "step": 112, "ordinal_position": 113}, {"identifier": "W51", "position": [1, 5], "step": 113, "ordinal_position": 114}, {"identifier": "K51", "position": [1, 4], "step": 114, "ordinal_position": 115}, {"identifier": "O17", "position": [1, 3], "step": 115, "ordinal_position": 116}, {"identifier": "M85", "position": [1, 2], "step": 116, "ordinal_position": 117}, {"identifier": "S47", "position": [1, 1], "step": 117, "ordinal_position": 118}, {"identifier": "O57", "position": [2, 1], "step": 118, "ordinal_position": 119}, {"identifier": "R59", "position": [3, 1], "step": 119, "ordinal_position": 120}, {"identifier": "X10", "position": [4, 1], "step": 120, "ordinal_position": 121}, {"identifier": "D47", "position": [5, 1], "step": 121, "ordinal_position": 122}, {"identifier": "R60", "position": [5, 2], "step": 122, "ordinal_position": 123}, {"identifier": "J58", "position": [5, 3], "step": 123, "ordinal_position": 124}, {"identifier": "T93", "position": [5, 4], "step": 124, "ordinal_position": 125}, {"identifier": "L29", "position": [5, 5], "step": 125, "ordinal_position": 126}, {"identifier": "R88", "position": [4, 5], "step": 126, "ordinal_position": 127}, {"identifier": "F71", "position": [3, 5], "step": 127, "ordinal_position": 128}, {"identifier": "K74", "position": [2, 5], "step": 128, "ordinal_position": 129}, {"identifier": "W51", "position": [1, 5], "step": 129, "ordinal_position": 130}, {"identifier": "K51", "position": [1, 4], "step": 130, "ordinal_position": 131}, {"identifier": "O17", "position": [1, 3], "step": 131, "ordinal_position": 132}, {"identifier": "M85", "position": [1, 2], "step": 132, "ordinal_position": 133}, {"identifier": "S47", "position": [1, 1], "step": 133, "ordinal_position": 134}, {"identifier": "O57", "position": [2, 1], "step": 134, "ordinal_position": 135}, {"identifier": "R59", "position": [3, 1], "step": 135, "ordinal_position": 136}, {"identifier": "X10", "position": [4, 1], "step": 136, "ordinal_position": 137}, {"identifier": "D47", "position": [5, 1], "step": 137, "ordinal_position": 138}, {"identifier": "R60", "position": [5, 2], "step": 138, "ordinal_position": 139}, {"identifier": "J58", "position": [5, 3], "step": 139, "ordinal_position": 140}, {"identifier": "T93", "position": [5, 4], "step": 140, "ordinal_position": 141}, {"identifier": "L29", "position": [5, 5], "step": 141, "ordinal_position": 142}, {"identifier": "R88", "position": [4, 5], "step": 142, "ordinal_position": 143}, {"identifier": "F71", "position": [3, 5], "step": 143, "ordinal_position": 144}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 144, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_013.json"}} {"qa_id": "b2a852717a3f4acbb19b3c199eb9b384", "image_id": "L3-MazeLoop-test_7x7_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D47, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 109th position in this traversal?", "start_object_id": "D47", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [109], "ordinal_strings": ["109th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "L29", "traversal_path": [{"identifier": "D47", "position": [5, 1], "step": 0, "ordinal_position": 1}, {"identifier": "X10", "position": [4, 1], "step": 1, "ordinal_position": 2}, {"identifier": "R59", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "O57", "position": [2, 1], "step": 3, "ordinal_position": 4}, {"identifier": "S47", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "M85", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "O17", "position": [1, 3], "step": 6, "ordinal_position": 7}, {"identifier": "K51", "position": [1, 4], "step": 7, "ordinal_position": 8}, {"identifier": "W51", "position": [1, 5], "step": 8, "ordinal_position": 9}, {"identifier": "K74", "position": [2, 5], "step": 9, "ordinal_position": 10}, {"identifier": "F71", "position": [3, 5], "step": 10, "ordinal_position": 11}, {"identifier": "R88", "position": [4, 5], "step": 11, "ordinal_position": 12}, {"identifier": "L29", "position": [5, 5], "step": 12, "ordinal_position": 13}, {"identifier": "T93", "position": [5, 4], "step": 13, "ordinal_position": 14}, {"identifier": "J58", "position": [5, 3], "step": 14, "ordinal_position": 15}, {"identifier": "R60", "position": [5, 2], "step": 15, "ordinal_position": 16}, {"identifier": "D47", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "X10", "position": [4, 1], "step": 17, "ordinal_position": 18}, {"identifier": "R59", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "O57", "position": [2, 1], "step": 19, "ordinal_position": 20}, {"identifier": "S47", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "M85", "position": [1, 2], "step": 21, "ordinal_position": 22}, {"identifier": "O17", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "K51", "position": [1, 4], "step": 23, "ordinal_position": 24}, {"identifier": "W51", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "K74", "position": [2, 5], "step": 25, "ordinal_position": 26}, {"identifier": "F71", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "R88", "position": [4, 5], "step": 27, "ordinal_position": 28}, {"identifier": "L29", "position": [5, 5], "step": 28, "ordinal_position": 29}, {"identifier": "T93", "position": [5, 4], "step": 29, "ordinal_position": 30}, {"identifier": "J58", "position": [5, 3], "step": 30, "ordinal_position": 31}, {"identifier": "R60", "position": [5, 2], "step": 31, "ordinal_position": 32}, {"identifier": "D47", "position": [5, 1], "step": 32, "ordinal_position": 33}, {"identifier": "X10", "position": [4, 1], "step": 33, "ordinal_position": 34}, {"identifier": "R59", "position": [3, 1], "step": 34, "ordinal_position": 35}, {"identifier": "O57", "position": [2, 1], "step": 35, "ordinal_position": 36}, {"identifier": "S47", "position": [1, 1], "step": 36, "ordinal_position": 37}, {"identifier": "M85", "position": [1, 2], "step": 37, "ordinal_position": 38}, {"identifier": "O17", "position": [1, 3], "step": 38, "ordinal_position": 39}, {"identifier": "K51", "position": [1, 4], "step": 39, "ordinal_position": 40}, {"identifier": "W51", "position": [1, 5], "step": 40, "ordinal_position": 41}, {"identifier": "K74", "position": [2, 5], "step": 41, "ordinal_position": 42}, {"identifier": "F71", "position": [3, 5], "step": 42, "ordinal_position": 43}, {"identifier": "R88", "position": [4, 5], "step": 43, "ordinal_position": 44}, {"identifier": "L29", "position": [5, 5], "step": 44, "ordinal_position": 45}, {"identifier": "T93", "position": [5, 4], "step": 45, "ordinal_position": 46}, {"identifier": "J58", "position": [5, 3], "step": 46, "ordinal_position": 47}, {"identifier": "R60", "position": [5, 2], "step": 47, "ordinal_position": 48}, {"identifier": "D47", "position": [5, 1], "step": 48, "ordinal_position": 49}, {"identifier": "X10", "position": [4, 1], "step": 49, "ordinal_position": 50}, {"identifier": "R59", "position": [3, 1], "step": 50, "ordinal_position": 51}, {"identifier": "O57", "position": [2, 1], "step": 51, "ordinal_position": 52}, {"identifier": "S47", "position": [1, 1], "step": 52, "ordinal_position": 53}, {"identifier": "M85", "position": [1, 2], "step": 53, "ordinal_position": 54}, {"identifier": "O17", "position": [1, 3], "step": 54, "ordinal_position": 55}, {"identifier": "K51", "position": [1, 4], "step": 55, "ordinal_position": 56}, {"identifier": "W51", "position": [1, 5], "step": 56, "ordinal_position": 57}, {"identifier": "K74", "position": [2, 5], "step": 57, "ordinal_position": 58}, {"identifier": "F71", "position": [3, 5], "step": 58, "ordinal_position": 59}, {"identifier": "R88", "position": [4, 5], "step": 59, "ordinal_position": 60}, {"identifier": "L29", "position": [5, 5], "step": 60, "ordinal_position": 61}, {"identifier": "T93", "position": [5, 4], "step": 61, "ordinal_position": 62}, {"identifier": "J58", "position": [5, 3], "step": 62, "ordinal_position": 63}, {"identifier": "R60", "position": [5, 2], "step": 63, "ordinal_position": 64}, {"identifier": "D47", "position": [5, 1], "step": 64, "ordinal_position": 65}, {"identifier": "X10", "position": [4, 1], "step": 65, "ordinal_position": 66}, {"identifier": "R59", "position": [3, 1], "step": 66, "ordinal_position": 67}, {"identifier": "O57", "position": [2, 1], "step": 67, "ordinal_position": 68}, {"identifier": "S47", "position": [1, 1], "step": 68, "ordinal_position": 69}, {"identifier": "M85", "position": [1, 2], "step": 69, "ordinal_position": 70}, {"identifier": "O17", "position": [1, 3], "step": 70, "ordinal_position": 71}, {"identifier": "K51", "position": [1, 4], "step": 71, "ordinal_position": 72}, {"identifier": "W51", "position": [1, 5], "step": 72, "ordinal_position": 73}, {"identifier": "K74", "position": [2, 5], "step": 73, "ordinal_position": 74}, {"identifier": "F71", "position": [3, 5], "step": 74, "ordinal_position": 75}, {"identifier": "R88", "position": [4, 5], "step": 75, "ordinal_position": 76}, {"identifier": "L29", "position": [5, 5], "step": 76, "ordinal_position": 77}, {"identifier": "T93", "position": [5, 4], "step": 77, "ordinal_position": 78}, {"identifier": "J58", "position": [5, 3], "step": 78, "ordinal_position": 79}, {"identifier": "R60", "position": [5, 2], "step": 79, "ordinal_position": 80}, {"identifier": "D47", "position": [5, 1], "step": 80, "ordinal_position": 81}, {"identifier": "X10", "position": [4, 1], "step": 81, "ordinal_position": 82}, {"identifier": "R59", "position": [3, 1], "step": 82, "ordinal_position": 83}, {"identifier": "O57", "position": [2, 1], "step": 83, "ordinal_position": 84}, {"identifier": "S47", "position": [1, 1], "step": 84, "ordinal_position": 85}, {"identifier": "M85", "position": [1, 2], "step": 85, "ordinal_position": 86}, {"identifier": "O17", "position": [1, 3], "step": 86, "ordinal_position": 87}, {"identifier": "K51", "position": [1, 4], "step": 87, "ordinal_position": 88}, {"identifier": "W51", "position": [1, 5], "step": 88, "ordinal_position": 89}, {"identifier": "K74", "position": [2, 5], "step": 89, "ordinal_position": 90}, {"identifier": "F71", "position": [3, 5], "step": 90, "ordinal_position": 91}, {"identifier": "R88", "position": [4, 5], "step": 91, "ordinal_position": 92}, {"identifier": "L29", "position": [5, 5], "step": 92, "ordinal_position": 93}, {"identifier": "T93", "position": [5, 4], "step": 93, "ordinal_position": 94}, {"identifier": "J58", "position": [5, 3], "step": 94, "ordinal_position": 95}, {"identifier": "R60", "position": [5, 2], "step": 95, "ordinal_position": 96}, {"identifier": "D47", "position": [5, 1], "step": 96, "ordinal_position": 97}, {"identifier": "X10", "position": [4, 1], "step": 97, "ordinal_position": 98}, {"identifier": "R59", "position": [3, 1], "step": 98, "ordinal_position": 99}, {"identifier": "O57", "position": [2, 1], "step": 99, "ordinal_position": 100}, {"identifier": "S47", "position": [1, 1], "step": 100, "ordinal_position": 101}, {"identifier": "M85", "position": [1, 2], "step": 101, "ordinal_position": 102}, {"identifier": "O17", "position": [1, 3], "step": 102, "ordinal_position": 103}, {"identifier": "K51", "position": [1, 4], "step": 103, "ordinal_position": 104}, {"identifier": "W51", "position": [1, 5], "step": 104, "ordinal_position": 105}, {"identifier": "K74", "position": [2, 5], "step": 105, "ordinal_position": 106}, {"identifier": "F71", "position": [3, 5], "step": 106, "ordinal_position": 107}, {"identifier": "R88", "position": [4, 5], "step": 107, "ordinal_position": 108}, {"identifier": "L29", "position": [5, 5], "step": 108, "ordinal_position": 109}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 109, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_013.json"}} {"qa_id": "4c1820d658544bf484f99bad7e73fe03", "image_id": "L3-MazeLoop-test_7x7_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G00, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 267th position in this traversal?", "start_object_id": "G00", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [267], "ordinal_strings": ["267th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "M85", "traversal_path": [{"identifier": "G00", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "E80", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "O91", "position": [4, 3], "step": 2, "ordinal_position": 3}, {"identifier": "J58", "position": [5, 3], "step": 3, "ordinal_position": 4}, {"identifier": "R60", "position": [5, 2], "step": 4, "ordinal_position": 5}, {"identifier": "D47", "position": [5, 1], "step": 5, "ordinal_position": 6}, {"identifier": "X10", "position": [4, 1], "step": 6, "ordinal_position": 7}, {"identifier": "R59", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "O57", "position": [2, 1], "step": 8, "ordinal_position": 9}, {"identifier": "S47", "position": [1, 1], "step": 9, "ordinal_position": 10}, {"identifier": "M85", "position": [1, 2], "step": 10, "ordinal_position": 11}, {"identifier": "O17", "position": [1, 3], "step": 11, "ordinal_position": 12}, {"identifier": "K51", "position": [1, 4], "step": 12, "ordinal_position": 13}, {"identifier": "W51", "position": [1, 5], "step": 13, "ordinal_position": 14}, {"identifier": "K74", "position": [2, 5], "step": 14, "ordinal_position": 15}, {"identifier": "F71", "position": [3, 5], "step": 15, "ordinal_position": 16}, {"identifier": "R88", "position": [4, 5], "step": 16, "ordinal_position": 17}, {"identifier": "L29", "position": [5, 5], "step": 17, "ordinal_position": 18}, {"identifier": "T93", "position": [5, 4], "step": 18, "ordinal_position": 19}, {"identifier": "J58", "position": [5, 3], "step": 19, "ordinal_position": 20}, {"identifier": "R60", "position": [5, 2], "step": 20, "ordinal_position": 21}, {"identifier": "D47", "position": [5, 1], "step": 21, "ordinal_position": 22}, {"identifier": "X10", "position": [4, 1], "step": 22, "ordinal_position": 23}, {"identifier": "R59", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "O57", "position": [2, 1], "step": 24, "ordinal_position": 25}, {"identifier": "S47", "position": [1, 1], "step": 25, "ordinal_position": 26}, {"identifier": "M85", "position": [1, 2], "step": 26, "ordinal_position": 27}, {"identifier": "O17", "position": [1, 3], "step": 27, "ordinal_position": 28}, {"identifier": "K51", "position": [1, 4], "step": 28, "ordinal_position": 29}, {"identifier": "W51", "position": [1, 5], "step": 29, "ordinal_position": 30}, {"identifier": "K74", "position": [2, 5], "step": 30, "ordinal_position": 31}, {"identifier": "F71", "position": [3, 5], "step": 31, "ordinal_position": 32}, {"identifier": "R88", "position": [4, 5], "step": 32, "ordinal_position": 33}, {"identifier": "L29", "position": [5, 5], "step": 33, "ordinal_position": 34}, {"identifier": "T93", "position": [5, 4], "step": 34, "ordinal_position": 35}, {"identifier": "J58", "position": [5, 3], "step": 35, "ordinal_position": 36}, {"identifier": "R60", "position": [5, 2], "step": 36, "ordinal_position": 37}, {"identifier": "D47", "position": [5, 1], "step": 37, "ordinal_position": 38}, {"identifier": "X10", "position": [4, 1], "step": 38, "ordinal_position": 39}, {"identifier": "R59", "position": [3, 1], "step": 39, "ordinal_position": 40}, {"identifier": "O57", "position": [2, 1], "step": 40, "ordinal_position": 41}, {"identifier": "S47", "position": [1, 1], "step": 41, "ordinal_position": 42}, {"identifier": "M85", "position": [1, 2], "step": 42, "ordinal_position": 43}, {"identifier": "O17", "position": [1, 3], "step": 43, "ordinal_position": 44}, {"identifier": "K51", "position": [1, 4], "step": 44, "ordinal_position": 45}, {"identifier": "W51", "position": [1, 5], "step": 45, "ordinal_position": 46}, {"identifier": "K74", "position": [2, 5], "step": 46, "ordinal_position": 47}, {"identifier": "F71", "position": [3, 5], "step": 47, "ordinal_position": 48}, {"identifier": "R88", "position": [4, 5], "step": 48, "ordinal_position": 49}, {"identifier": "L29", "position": [5, 5], "step": 49, "ordinal_position": 50}, {"identifier": "T93", "position": [5, 4], "step": 50, "ordinal_position": 51}, {"identifier": "J58", "position": [5, 3], "step": 51, "ordinal_position": 52}, {"identifier": "R60", "position": [5, 2], "step": 52, "ordinal_position": 53}, {"identifier": "D47", "position": [5, 1], "step": 53, "ordinal_position": 54}, {"identifier": "X10", "position": [4, 1], "step": 54, "ordinal_position": 55}, {"identifier": "R59", "position": [3, 1], "step": 55, "ordinal_position": 56}, {"identifier": "O57", "position": [2, 1], "step": 56, "ordinal_position": 57}, {"identifier": "S47", "position": [1, 1], "step": 57, "ordinal_position": 58}, {"identifier": "M85", "position": [1, 2], "step": 58, "ordinal_position": 59}, {"identifier": "O17", "position": [1, 3], "step": 59, "ordinal_position": 60}, {"identifier": "K51", "position": [1, 4], "step": 60, "ordinal_position": 61}, {"identifier": "W51", "position": [1, 5], "step": 61, "ordinal_position": 62}, {"identifier": "K74", "position": [2, 5], "step": 62, "ordinal_position": 63}, {"identifier": "F71", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "R88", "position": [4, 5], "step": 64, "ordinal_position": 65}, {"identifier": "L29", "position": [5, 5], "step": 65, "ordinal_position": 66}, {"identifier": "T93", "position": [5, 4], "step": 66, "ordinal_position": 67}, {"identifier": "J58", "position": [5, 3], "step": 67, "ordinal_position": 68}, {"identifier": "R60", "position": [5, 2], "step": 68, "ordinal_position": 69}, {"identifier": "D47", "position": [5, 1], "step": 69, "ordinal_position": 70}, {"identifier": "X10", "position": [4, 1], "step": 70, "ordinal_position": 71}, {"identifier": "R59", "position": [3, 1], "step": 71, "ordinal_position": 72}, {"identifier": "O57", "position": [2, 1], "step": 72, "ordinal_position": 73}, {"identifier": "S47", "position": [1, 1], "step": 73, "ordinal_position": 74}, {"identifier": "M85", "position": [1, 2], "step": 74, "ordinal_position": 75}, {"identifier": "O17", "position": [1, 3], "step": 75, "ordinal_position": 76}, {"identifier": "K51", "position": [1, 4], "step": 76, "ordinal_position": 77}, {"identifier": "W51", "position": [1, 5], "step": 77, "ordinal_position": 78}, {"identifier": "K74", "position": [2, 5], "step": 78, "ordinal_position": 79}, {"identifier": "F71", "position": [3, 5], "step": 79, "ordinal_position": 80}, {"identifier": "R88", "position": [4, 5], "step": 80, "ordinal_position": 81}, {"identifier": "L29", "position": [5, 5], "step": 81, "ordinal_position": 82}, {"identifier": "T93", "position": [5, 4], "step": 82, "ordinal_position": 83}, {"identifier": "J58", "position": [5, 3], "step": 83, "ordinal_position": 84}, {"identifier": "R60", "position": [5, 2], "step": 84, "ordinal_position": 85}, {"identifier": "D47", "position": [5, 1], "step": 85, "ordinal_position": 86}, {"identifier": "X10", "position": [4, 1], "step": 86, "ordinal_position": 87}, {"identifier": "R59", "position": [3, 1], "step": 87, "ordinal_position": 88}, {"identifier": "O57", "position": [2, 1], "step": 88, "ordinal_position": 89}, {"identifier": "S47", "position": [1, 1], "step": 89, "ordinal_position": 90}, {"identifier": "M85", "position": [1, 2], "step": 90, "ordinal_position": 91}, {"identifier": "O17", "position": [1, 3], "step": 91, "ordinal_position": 92}, {"identifier": "K51", "position": [1, 4], "step": 92, "ordinal_position": 93}, {"identifier": "W51", "position": [1, 5], "step": 93, "ordinal_position": 94}, {"identifier": "K74", "position": [2, 5], "step": 94, "ordinal_position": 95}, {"identifier": "F71", "position": [3, 5], "step": 95, "ordinal_position": 96}, {"identifier": "R88", "position": [4, 5], "step": 96, "ordinal_position": 97}, {"identifier": "L29", "position": [5, 5], "step": 97, "ordinal_position": 98}, {"identifier": "T93", "position": [5, 4], "step": 98, "ordinal_position": 99}, {"identifier": "J58", "position": [5, 3], "step": 99, "ordinal_position": 100}, {"identifier": "R60", "position": [5, 2], "step": 100, "ordinal_position": 101}, {"identifier": "D47", "position": [5, 1], "step": 101, "ordinal_position": 102}, {"identifier": "X10", "position": [4, 1], "step": 102, "ordinal_position": 103}, {"identifier": "R59", "position": [3, 1], "step": 103, "ordinal_position": 104}, {"identifier": "O57", "position": [2, 1], "step": 104, "ordinal_position": 105}, {"identifier": "S47", "position": [1, 1], "step": 105, "ordinal_position": 106}, {"identifier": "M85", "position": [1, 2], "step": 106, "ordinal_position": 107}, {"identifier": "O17", "position": [1, 3], "step": 107, "ordinal_position": 108}, {"identifier": "K51", "position": [1, 4], "step": 108, "ordinal_position": 109}, {"identifier": "W51", "position": [1, 5], "step": 109, "ordinal_position": 110}, {"identifier": "K74", "position": [2, 5], "step": 110, "ordinal_position": 111}, {"identifier": "F71", "position": [3, 5], "step": 111, "ordinal_position": 112}, {"identifier": "R88", "position": [4, 5], "step": 112, "ordinal_position": 113}, {"identifier": "L29", "position": [5, 5], "step": 113, "ordinal_position": 114}, {"identifier": "T93", "position": [5, 4], "step": 114, "ordinal_position": 115}, {"identifier": "J58", "position": [5, 3], "step": 115, "ordinal_position": 116}, {"identifier": "R60", "position": [5, 2], "step": 116, "ordinal_position": 117}, {"identifier": "D47", "position": [5, 1], "step": 117, "ordinal_position": 118}, {"identifier": "X10", "position": [4, 1], "step": 118, "ordinal_position": 119}, {"identifier": "R59", "position": [3, 1], "step": 119, "ordinal_position": 120}, {"identifier": "O57", "position": [2, 1], "step": 120, "ordinal_position": 121}, {"identifier": "S47", "position": [1, 1], "step": 121, "ordinal_position": 122}, {"identifier": "M85", "position": [1, 2], "step": 122, "ordinal_position": 123}, {"identifier": "O17", "position": [1, 3], "step": 123, "ordinal_position": 124}, {"identifier": "K51", "position": [1, 4], "step": 124, "ordinal_position": 125}, {"identifier": "W51", "position": [1, 5], "step": 125, "ordinal_position": 126}, {"identifier": "K74", "position": [2, 5], "step": 126, "ordinal_position": 127}, {"identifier": "F71", "position": [3, 5], "step": 127, "ordinal_position": 128}, {"identifier": "R88", "position": [4, 5], "step": 128, "ordinal_position": 129}, {"identifier": "L29", "position": [5, 5], "step": 129, "ordinal_position": 130}, {"identifier": "T93", "position": [5, 4], "step": 130, "ordinal_position": 131}, {"identifier": "J58", "position": [5, 3], "step": 131, "ordinal_position": 132}, {"identifier": "R60", "position": [5, 2], "step": 132, "ordinal_position": 133}, {"identifier": "D47", "position": [5, 1], "step": 133, "ordinal_position": 134}, {"identifier": "X10", "position": [4, 1], "step": 134, "ordinal_position": 135}, {"identifier": "R59", "position": [3, 1], "step": 135, "ordinal_position": 136}, {"identifier": "O57", "position": [2, 1], "step": 136, "ordinal_position": 137}, {"identifier": "S47", "position": [1, 1], "step": 137, "ordinal_position": 138}, {"identifier": "M85", "position": [1, 2], "step": 138, "ordinal_position": 139}, {"identifier": "O17", "position": [1, 3], "step": 139, "ordinal_position": 140}, {"identifier": "K51", "position": [1, 4], "step": 140, "ordinal_position": 141}, {"identifier": "W51", "position": [1, 5], "step": 141, "ordinal_position": 142}, {"identifier": "K74", "position": [2, 5], "step": 142, "ordinal_position": 143}, {"identifier": "F71", "position": [3, 5], "step": 143, "ordinal_position": 144}, {"identifier": "R88", "position": [4, 5], "step": 144, "ordinal_position": 145}, {"identifier": "L29", "position": [5, 5], "step": 145, "ordinal_position": 146}, {"identifier": "T93", "position": [5, 4], "step": 146, "ordinal_position": 147}, {"identifier": "J58", "position": [5, 3], "step": 147, "ordinal_position": 148}, {"identifier": "R60", "position": [5, 2], "step": 148, "ordinal_position": 149}, {"identifier": "D47", "position": [5, 1], "step": 149, "ordinal_position": 150}, {"identifier": "X10", "position": [4, 1], "step": 150, "ordinal_position": 151}, {"identifier": "R59", "position": [3, 1], "step": 151, "ordinal_position": 152}, {"identifier": "O57", "position": [2, 1], "step": 152, "ordinal_position": 153}, {"identifier": "S47", "position": [1, 1], "step": 153, "ordinal_position": 154}, {"identifier": "M85", "position": [1, 2], "step": 154, "ordinal_position": 155}, {"identifier": "O17", "position": [1, 3], "step": 155, "ordinal_position": 156}, {"identifier": "K51", "position": [1, 4], "step": 156, "ordinal_position": 157}, {"identifier": "W51", "position": [1, 5], "step": 157, "ordinal_position": 158}, {"identifier": "K74", "position": [2, 5], "step": 158, "ordinal_position": 159}, {"identifier": "F71", "position": [3, 5], "step": 159, "ordinal_position": 160}, {"identifier": "R88", "position": [4, 5], "step": 160, "ordinal_position": 161}, {"identifier": "L29", "position": [5, 5], "step": 161, "ordinal_position": 162}, {"identifier": "T93", "position": [5, 4], "step": 162, "ordinal_position": 163}, {"identifier": "J58", "position": [5, 3], "step": 163, "ordinal_position": 164}, {"identifier": "R60", "position": [5, 2], "step": 164, "ordinal_position": 165}, {"identifier": "D47", "position": [5, 1], "step": 165, "ordinal_position": 166}, {"identifier": "X10", "position": [4, 1], "step": 166, "ordinal_position": 167}, {"identifier": "R59", "position": [3, 1], "step": 167, "ordinal_position": 168}, {"identifier": "O57", "position": [2, 1], "step": 168, "ordinal_position": 169}, {"identifier": "S47", "position": [1, 1], "step": 169, "ordinal_position": 170}, {"identifier": "M85", "position": [1, 2], "step": 170, "ordinal_position": 171}, {"identifier": "O17", "position": [1, 3], "step": 171, "ordinal_position": 172}, {"identifier": "K51", "position": [1, 4], "step": 172, "ordinal_position": 173}, {"identifier": "W51", "position": [1, 5], "step": 173, "ordinal_position": 174}, {"identifier": "K74", "position": [2, 5], "step": 174, "ordinal_position": 175}, {"identifier": "F71", "position": [3, 5], "step": 175, "ordinal_position": 176}, {"identifier": "R88", "position": [4, 5], "step": 176, "ordinal_position": 177}, {"identifier": "L29", "position": [5, 5], "step": 177, "ordinal_position": 178}, {"identifier": "T93", "position": [5, 4], "step": 178, "ordinal_position": 179}, {"identifier": "J58", "position": [5, 3], "step": 179, "ordinal_position": 180}, {"identifier": "R60", "position": [5, 2], "step": 180, "ordinal_position": 181}, {"identifier": "D47", "position": [5, 1], "step": 181, "ordinal_position": 182}, {"identifier": "X10", "position": [4, 1], "step": 182, "ordinal_position": 183}, {"identifier": "R59", "position": [3, 1], "step": 183, "ordinal_position": 184}, {"identifier": "O57", "position": [2, 1], "step": 184, "ordinal_position": 185}, {"identifier": "S47", "position": [1, 1], "step": 185, "ordinal_position": 186}, {"identifier": "M85", "position": [1, 2], "step": 186, "ordinal_position": 187}, {"identifier": "O17", "position": [1, 3], "step": 187, "ordinal_position": 188}, {"identifier": "K51", "position": [1, 4], "step": 188, "ordinal_position": 189}, {"identifier": "W51", "position": [1, 5], "step": 189, "ordinal_position": 190}, {"identifier": "K74", "position": [2, 5], "step": 190, "ordinal_position": 191}, {"identifier": "F71", "position": [3, 5], "step": 191, "ordinal_position": 192}, {"identifier": "R88", "position": [4, 5], "step": 192, "ordinal_position": 193}, {"identifier": "L29", "position": [5, 5], "step": 193, "ordinal_position": 194}, {"identifier": "T93", "position": [5, 4], "step": 194, "ordinal_position": 195}, {"identifier": "J58", "position": [5, 3], "step": 195, "ordinal_position": 196}, {"identifier": "R60", "position": [5, 2], "step": 196, "ordinal_position": 197}, {"identifier": "D47", "position": [5, 1], "step": 197, "ordinal_position": 198}, {"identifier": "X10", "position": [4, 1], "step": 198, "ordinal_position": 199}, {"identifier": "R59", "position": [3, 1], "step": 199, "ordinal_position": 200}, {"identifier": "O57", "position": [2, 1], "step": 200, "ordinal_position": 201}, {"identifier": "S47", "position": [1, 1], "step": 201, "ordinal_position": 202}, {"identifier": "M85", "position": [1, 2], "step": 202, "ordinal_position": 203}, {"identifier": "O17", "position": [1, 3], "step": 203, "ordinal_position": 204}, {"identifier": "K51", "position": [1, 4], "step": 204, "ordinal_position": 205}, {"identifier": "W51", "position": [1, 5], "step": 205, "ordinal_position": 206}, {"identifier": "K74", "position": [2, 5], "step": 206, "ordinal_position": 207}, {"identifier": "F71", "position": [3, 5], "step": 207, "ordinal_position": 208}, {"identifier": "R88", "position": [4, 5], "step": 208, "ordinal_position": 209}, {"identifier": "L29", "position": [5, 5], "step": 209, "ordinal_position": 210}, {"identifier": "T93", "position": [5, 4], "step": 210, "ordinal_position": 211}, {"identifier": "J58", "position": [5, 3], "step": 211, "ordinal_position": 212}, {"identifier": "R60", "position": [5, 2], "step": 212, "ordinal_position": 213}, {"identifier": "D47", "position": [5, 1], "step": 213, "ordinal_position": 214}, {"identifier": "X10", "position": [4, 1], "step": 214, "ordinal_position": 215}, {"identifier": "R59", "position": [3, 1], "step": 215, "ordinal_position": 216}, {"identifier": "O57", "position": [2, 1], "step": 216, "ordinal_position": 217}, {"identifier": "S47", "position": [1, 1], "step": 217, "ordinal_position": 218}, {"identifier": "M85", "position": [1, 2], "step": 218, "ordinal_position": 219}, {"identifier": "O17", "position": [1, 3], "step": 219, "ordinal_position": 220}, {"identifier": "K51", "position": [1, 4], "step": 220, "ordinal_position": 221}, {"identifier": "W51", "position": [1, 5], "step": 221, "ordinal_position": 222}, {"identifier": "K74", "position": [2, 5], "step": 222, "ordinal_position": 223}, {"identifier": "F71", "position": [3, 5], "step": 223, "ordinal_position": 224}, {"identifier": "R88", "position": [4, 5], "step": 224, "ordinal_position": 225}, {"identifier": "L29", "position": [5, 5], "step": 225, "ordinal_position": 226}, {"identifier": "T93", "position": [5, 4], "step": 226, "ordinal_position": 227}, {"identifier": "J58", "position": [5, 3], "step": 227, "ordinal_position": 228}, {"identifier": "R60", "position": [5, 2], "step": 228, "ordinal_position": 229}, {"identifier": "D47", "position": [5, 1], "step": 229, "ordinal_position": 230}, {"identifier": "X10", "position": [4, 1], "step": 230, "ordinal_position": 231}, {"identifier": "R59", "position": [3, 1], "step": 231, "ordinal_position": 232}, {"identifier": "O57", "position": [2, 1], "step": 232, "ordinal_position": 233}, {"identifier": "S47", "position": [1, 1], "step": 233, "ordinal_position": 234}, {"identifier": "M85", "position": [1, 2], "step": 234, "ordinal_position": 235}, {"identifier": "O17", "position": [1, 3], "step": 235, "ordinal_position": 236}, {"identifier": "K51", "position": [1, 4], "step": 236, "ordinal_position": 237}, {"identifier": "W51", "position": [1, 5], "step": 237, "ordinal_position": 238}, {"identifier": "K74", "position": [2, 5], "step": 238, "ordinal_position": 239}, {"identifier": "F71", "position": [3, 5], "step": 239, "ordinal_position": 240}, {"identifier": "R88", "position": [4, 5], "step": 240, "ordinal_position": 241}, {"identifier": "L29", "position": [5, 5], "step": 241, "ordinal_position": 242}, {"identifier": "T93", "position": [5, 4], "step": 242, "ordinal_position": 243}, {"identifier": "J58", "position": [5, 3], "step": 243, "ordinal_position": 244}, {"identifier": "R60", "position": [5, 2], "step": 244, "ordinal_position": 245}, {"identifier": "D47", "position": [5, 1], "step": 245, "ordinal_position": 246}, {"identifier": "X10", "position": [4, 1], "step": 246, "ordinal_position": 247}, {"identifier": "R59", "position": [3, 1], "step": 247, "ordinal_position": 248}, {"identifier": "O57", "position": [2, 1], "step": 248, "ordinal_position": 249}, {"identifier": "S47", "position": [1, 1], "step": 249, "ordinal_position": 250}, {"identifier": "M85", "position": [1, 2], "step": 250, "ordinal_position": 251}, {"identifier": "O17", "position": [1, 3], "step": 251, "ordinal_position": 252}, {"identifier": "K51", "position": [1, 4], "step": 252, "ordinal_position": 253}, {"identifier": "W51", "position": [1, 5], "step": 253, "ordinal_position": 254}, {"identifier": "K74", "position": [2, 5], "step": 254, "ordinal_position": 255}, {"identifier": "F71", "position": [3, 5], "step": 255, "ordinal_position": 256}, {"identifier": "R88", "position": [4, 5], "step": 256, "ordinal_position": 257}, {"identifier": "L29", "position": [5, 5], "step": 257, "ordinal_position": 258}, {"identifier": "T93", "position": [5, 4], "step": 258, "ordinal_position": 259}, {"identifier": "J58", "position": [5, 3], "step": 259, "ordinal_position": 260}, {"identifier": "R60", "position": [5, 2], "step": 260, "ordinal_position": 261}, {"identifier": "D47", "position": [5, 1], "step": 261, "ordinal_position": 262}, {"identifier": "X10", "position": [4, 1], "step": 262, "ordinal_position": 263}, {"identifier": "R59", "position": [3, 1], "step": 263, "ordinal_position": 264}, {"identifier": "O57", "position": [2, 1], "step": 264, "ordinal_position": 265}, {"identifier": "S47", "position": [1, 1], "step": 265, "ordinal_position": 266}, {"identifier": "M85", "position": [1, 2], "step": 266, "ordinal_position": 267}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 267, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_013.json"}} {"qa_id": "35c3d42222b84d98aa76dd923fd77a63", "image_id": "L3-MazeLoop-test_7x7_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G59, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "G59", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "A43", "traversal_path": [{"identifier": "G59", "position": [3, 4], "step": 0, "ordinal_position": 1}, {"identifier": "B13", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "W58", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "Z87", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "A43", "position": [5, 4], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_014.json"}} {"qa_id": "336b7d16a255479fa7facaa96fc63e60", "image_id": "L3-MazeLoop-test_7x7_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L27, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "L27", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "G75", "traversal_path": [{"identifier": "L27", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "O77", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "V14", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "N80", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "F03", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "G75", "position": [1, 5], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 6, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_014.json"}} {"qa_id": "c69bd6eb8ee045b19e7a9544744cadda", "image_id": "L3-MazeLoop-test_7x7_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O66, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "O66", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Z91", "traversal_path": [{"identifier": "O66", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "B13", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "W58", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "Z87", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "A43", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "K66", "position": [5, 3], "step": 5, "ordinal_position": 6}, {"identifier": "Z91", "position": [5, 2], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_014.json"}} {"qa_id": "f0547f6c38a84faaa9709b9fe9ec83a8", "image_id": "L3-MazeLoop-test_7x7_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z87, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "Z87", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "N80", "traversal_path": [{"identifier": "Z87", "position": [5, 5], "step": 0, "ordinal_position": 1}, {"identifier": "W58", "position": [4, 5], "step": 1, "ordinal_position": 2}, {"identifier": "B13", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "O66", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "G75", "position": [1, 5], "step": 4, "ordinal_position": 5}, {"identifier": "F03", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "N80", "position": [1, 3], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_014.json"}} {"qa_id": "cbfcc76b948c4dafbb8349662699d430", "image_id": "L3-MazeLoop-test_7x7_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N80, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "N80", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "B13", "traversal_path": [{"identifier": "N80", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "Y36", "position": [2, 3], "step": 1, "ordinal_position": 2}, {"identifier": "G13", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "G59", "position": [3, 4], "step": 3, "ordinal_position": 4}, {"identifier": "B13", "position": [3, 5], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_014.json"}} {"qa_id": "9050cc7b526f4addaea908b871c92703", "image_id": "L3-MazeLoop-test_7x7_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G59, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 69th position in this traversal?", "start_object_id": "G59", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [69], "ordinal_strings": ["69th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "F03", "traversal_path": [{"identifier": "G59", "position": [3, 4], "step": 0, "ordinal_position": 1}, {"identifier": "G13", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "Y36", "position": [2, 3], "step": 2, "ordinal_position": 3}, {"identifier": "N80", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "F03", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "G75", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "O66", "position": [2, 5], "step": 6, "ordinal_position": 7}, {"identifier": "B13", "position": [3, 5], "step": 7, "ordinal_position": 8}, {"identifier": "W58", "position": [4, 5], "step": 8, "ordinal_position": 9}, {"identifier": "Z87", "position": [5, 5], "step": 9, "ordinal_position": 10}, {"identifier": "A43", "position": [5, 4], "step": 10, "ordinal_position": 11}, {"identifier": "K66", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "Z91", "position": [5, 2], "step": 12, "ordinal_position": 13}, {"identifier": "C86", "position": [5, 1], "step": 13, "ordinal_position": 14}, {"identifier": "D40", "position": [4, 1], "step": 14, "ordinal_position": 15}, {"identifier": "M92", "position": [3, 1], "step": 15, "ordinal_position": 16}, {"identifier": "L27", "position": [2, 1], "step": 16, "ordinal_position": 17}, {"identifier": "O77", "position": [1, 1], "step": 17, "ordinal_position": 18}, {"identifier": "V14", "position": [1, 2], "step": 18, "ordinal_position": 19}, {"identifier": "N80", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "F03", "position": [1, 4], "step": 20, "ordinal_position": 21}, {"identifier": "G75", "position": [1, 5], "step": 21, "ordinal_position": 22}, {"identifier": "O66", "position": [2, 5], "step": 22, "ordinal_position": 23}, {"identifier": "B13", "position": [3, 5], "step": 23, "ordinal_position": 24}, {"identifier": "W58", "position": [4, 5], "step": 24, "ordinal_position": 25}, {"identifier": "Z87", "position": [5, 5], "step": 25, "ordinal_position": 26}, {"identifier": "A43", "position": [5, 4], "step": 26, "ordinal_position": 27}, {"identifier": "K66", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "Z91", "position": [5, 2], "step": 28, "ordinal_position": 29}, {"identifier": "C86", "position": [5, 1], "step": 29, "ordinal_position": 30}, {"identifier": "D40", "position": [4, 1], "step": 30, "ordinal_position": 31}, {"identifier": "M92", "position": [3, 1], "step": 31, "ordinal_position": 32}, {"identifier": "L27", "position": [2, 1], "step": 32, "ordinal_position": 33}, {"identifier": "O77", "position": [1, 1], "step": 33, "ordinal_position": 34}, {"identifier": "V14", "position": [1, 2], "step": 34, "ordinal_position": 35}, {"identifier": "N80", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "F03", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "G75", "position": [1, 5], "step": 37, "ordinal_position": 38}, {"identifier": "O66", "position": [2, 5], "step": 38, "ordinal_position": 39}, {"identifier": "B13", "position": [3, 5], "step": 39, "ordinal_position": 40}, {"identifier": "W58", "position": [4, 5], "step": 40, "ordinal_position": 41}, {"identifier": "Z87", "position": [5, 5], "step": 41, "ordinal_position": 42}, {"identifier": "A43", "position": [5, 4], "step": 42, "ordinal_position": 43}, {"identifier": "K66", "position": [5, 3], "step": 43, "ordinal_position": 44}, {"identifier": "Z91", "position": [5, 2], "step": 44, "ordinal_position": 45}, {"identifier": "C86", "position": [5, 1], "step": 45, "ordinal_position": 46}, {"identifier": "D40", "position": [4, 1], "step": 46, "ordinal_position": 47}, {"identifier": "M92", "position": [3, 1], "step": 47, "ordinal_position": 48}, {"identifier": "L27", "position": [2, 1], "step": 48, "ordinal_position": 49}, {"identifier": "O77", "position": [1, 1], "step": 49, "ordinal_position": 50}, {"identifier": "V14", "position": [1, 2], "step": 50, "ordinal_position": 51}, {"identifier": "N80", "position": [1, 3], "step": 51, "ordinal_position": 52}, {"identifier": "F03", "position": [1, 4], "step": 52, "ordinal_position": 53}, {"identifier": "G75", "position": [1, 5], "step": 53, "ordinal_position": 54}, {"identifier": "O66", "position": [2, 5], "step": 54, "ordinal_position": 55}, {"identifier": "B13", "position": [3, 5], "step": 55, "ordinal_position": 56}, {"identifier": "W58", "position": [4, 5], "step": 56, "ordinal_position": 57}, {"identifier": "Z87", "position": [5, 5], "step": 57, "ordinal_position": 58}, {"identifier": "A43", "position": [5, 4], "step": 58, "ordinal_position": 59}, {"identifier": "K66", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "Z91", "position": [5, 2], "step": 60, "ordinal_position": 61}, {"identifier": "C86", "position": [5, 1], "step": 61, "ordinal_position": 62}, {"identifier": "D40", "position": [4, 1], "step": 62, "ordinal_position": 63}, {"identifier": "M92", "position": [3, 1], "step": 63, "ordinal_position": 64}, {"identifier": "L27", "position": [2, 1], "step": 64, "ordinal_position": 65}, {"identifier": "O77", "position": [1, 1], "step": 65, "ordinal_position": 66}, {"identifier": "V14", "position": [1, 2], "step": 66, "ordinal_position": 67}, {"identifier": "N80", "position": [1, 3], "step": 67, "ordinal_position": 68}, {"identifier": "F03", "position": [1, 4], "step": 68, "ordinal_position": 69}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 69, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_014.json"}} {"qa_id": "e0dbba69a33140aa9f8011e673c8b33f", "image_id": "L3-MazeLoop-test_7x7_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A43, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 77th position in this traversal?", "start_object_id": "A43", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [77], "ordinal_strings": ["77th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "D40", "traversal_path": [{"identifier": "A43", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "Z87", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "W58", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "B13", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "O66", "position": [2, 5], "step": 4, "ordinal_position": 5}, {"identifier": "G75", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "F03", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "N80", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "V14", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "O77", "position": [1, 1], "step": 9, "ordinal_position": 10}, {"identifier": "L27", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "M92", "position": [3, 1], "step": 11, "ordinal_position": 12}, {"identifier": "D40", "position": [4, 1], "step": 12, "ordinal_position": 13}, {"identifier": "C86", "position": [5, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Z91", "position": [5, 2], "step": 14, "ordinal_position": 15}, {"identifier": "K66", "position": [5, 3], "step": 15, "ordinal_position": 16}, {"identifier": "A43", "position": [5, 4], "step": 16, "ordinal_position": 17}, {"identifier": "Z87", "position": [5, 5], "step": 17, "ordinal_position": 18}, {"identifier": "W58", "position": [4, 5], "step": 18, "ordinal_position": 19}, {"identifier": "B13", "position": [3, 5], "step": 19, "ordinal_position": 20}, {"identifier": "O66", "position": [2, 5], "step": 20, "ordinal_position": 21}, {"identifier": "G75", "position": [1, 5], "step": 21, "ordinal_position": 22}, {"identifier": "F03", "position": [1, 4], "step": 22, "ordinal_position": 23}, {"identifier": "N80", "position": [1, 3], "step": 23, "ordinal_position": 24}, {"identifier": "V14", "position": [1, 2], "step": 24, "ordinal_position": 25}, {"identifier": "O77", "position": [1, 1], "step": 25, "ordinal_position": 26}, {"identifier": "L27", "position": [2, 1], "step": 26, "ordinal_position": 27}, {"identifier": "M92", "position": [3, 1], "step": 27, "ordinal_position": 28}, {"identifier": "D40", "position": [4, 1], "step": 28, "ordinal_position": 29}, {"identifier": "C86", "position": [5, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Z91", "position": [5, 2], "step": 30, "ordinal_position": 31}, {"identifier": "K66", "position": [5, 3], "step": 31, "ordinal_position": 32}, {"identifier": "A43", "position": [5, 4], "step": 32, "ordinal_position": 33}, {"identifier": "Z87", "position": [5, 5], "step": 33, "ordinal_position": 34}, {"identifier": "W58", "position": [4, 5], "step": 34, "ordinal_position": 35}, {"identifier": "B13", "position": [3, 5], "step": 35, "ordinal_position": 36}, {"identifier": "O66", "position": [2, 5], "step": 36, "ordinal_position": 37}, {"identifier": "G75", "position": [1, 5], "step": 37, "ordinal_position": 38}, {"identifier": "F03", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "N80", "position": [1, 3], "step": 39, "ordinal_position": 40}, {"identifier": "V14", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "O77", "position": [1, 1], "step": 41, "ordinal_position": 42}, {"identifier": "L27", "position": [2, 1], "step": 42, "ordinal_position": 43}, {"identifier": "M92", "position": [3, 1], "step": 43, "ordinal_position": 44}, {"identifier": "D40", "position": [4, 1], "step": 44, "ordinal_position": 45}, {"identifier": "C86", "position": [5, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Z91", "position": [5, 2], "step": 46, "ordinal_position": 47}, {"identifier": "K66", "position": [5, 3], "step": 47, "ordinal_position": 48}, {"identifier": "A43", "position": [5, 4], "step": 48, "ordinal_position": 49}, {"identifier": "Z87", "position": [5, 5], "step": 49, "ordinal_position": 50}, {"identifier": "W58", "position": [4, 5], "step": 50, "ordinal_position": 51}, {"identifier": "B13", "position": [3, 5], "step": 51, "ordinal_position": 52}, {"identifier": "O66", "position": [2, 5], "step": 52, "ordinal_position": 53}, {"identifier": "G75", "position": [1, 5], "step": 53, "ordinal_position": 54}, {"identifier": "F03", "position": [1, 4], "step": 54, "ordinal_position": 55}, {"identifier": "N80", "position": [1, 3], "step": 55, "ordinal_position": 56}, {"identifier": "V14", "position": [1, 2], "step": 56, "ordinal_position": 57}, {"identifier": "O77", "position": [1, 1], "step": 57, "ordinal_position": 58}, {"identifier": "L27", "position": [2, 1], "step": 58, "ordinal_position": 59}, {"identifier": "M92", "position": [3, 1], "step": 59, "ordinal_position": 60}, {"identifier": "D40", "position": [4, 1], "step": 60, "ordinal_position": 61}, {"identifier": "C86", "position": [5, 1], "step": 61, "ordinal_position": 62}, {"identifier": "Z91", "position": [5, 2], "step": 62, "ordinal_position": 63}, {"identifier": "K66", "position": [5, 3], "step": 63, "ordinal_position": 64}, {"identifier": "A43", "position": [5, 4], "step": 64, "ordinal_position": 65}, {"identifier": "Z87", "position": [5, 5], "step": 65, "ordinal_position": 66}, {"identifier": "W58", "position": [4, 5], "step": 66, "ordinal_position": 67}, {"identifier": "B13", "position": [3, 5], "step": 67, "ordinal_position": 68}, {"identifier": "O66", "position": [2, 5], "step": 68, "ordinal_position": 69}, {"identifier": "G75", "position": [1, 5], "step": 69, "ordinal_position": 70}, {"identifier": "F03", "position": [1, 4], "step": 70, "ordinal_position": 71}, {"identifier": "N80", "position": [1, 3], "step": 71, "ordinal_position": 72}, {"identifier": "V14", "position": [1, 2], "step": 72, "ordinal_position": 73}, {"identifier": "O77", "position": [1, 1], "step": 73, "ordinal_position": 74}, {"identifier": "L27", "position": [2, 1], "step": 74, "ordinal_position": 75}, {"identifier": "M92", "position": [3, 1], "step": 75, "ordinal_position": 76}, {"identifier": "D40", "position": [4, 1], "step": 76, "ordinal_position": 77}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 77, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_014.json"}} {"qa_id": "4628fd99c4ae4288b56947f0b636f31a", "image_id": "L3-MazeLoop-test_7x7_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F03, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 15th position in this traversal?", "start_object_id": "F03", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [15], "ordinal_strings": ["15th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "O66", "traversal_path": [{"identifier": "F03", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "N80", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "V14", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "O77", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "L27", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "M92", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "D40", "position": [4, 1], "step": 6, "ordinal_position": 7}, {"identifier": "C86", "position": [5, 1], "step": 7, "ordinal_position": 8}, {"identifier": "Z91", "position": [5, 2], "step": 8, "ordinal_position": 9}, {"identifier": "K66", "position": [5, 3], "step": 9, "ordinal_position": 10}, {"identifier": "A43", "position": [5, 4], "step": 10, "ordinal_position": 11}, {"identifier": "Z87", "position": [5, 5], "step": 11, "ordinal_position": 12}, {"identifier": "W58", "position": [4, 5], "step": 12, "ordinal_position": 13}, {"identifier": "B13", "position": [3, 5], "step": 13, "ordinal_position": 14}, {"identifier": "O66", "position": [2, 5], "step": 14, "ordinal_position": 15}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 15, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_014.json"}} {"qa_id": "414ac5c4b4934646871acb082018c65d", "image_id": "L3-MazeLoop-test_7x7_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G75, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 10th position in this traversal?", "start_object_id": "G75", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [10], "ordinal_strings": ["10th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Z91", "traversal_path": [{"identifier": "G75", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "F03", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "N80", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "V14", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "O77", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "L27", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "M92", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "D40", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "C86", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Z91", "position": [5, 2], "step": 9, "ordinal_position": 10}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 10, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_014.json"}} {"qa_id": "0ed61f4257954935b9ab0888380d45e1", "image_id": "L3-MazeLoop-test_7x7_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G75, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 20th position in this traversal?", "start_object_id": "G75", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [20], "ordinal_strings": ["20th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "W58", "traversal_path": [{"identifier": "G75", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "O66", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "B13", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "W58", "position": [4, 5], "step": 3, "ordinal_position": 4}, {"identifier": "Z87", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "A43", "position": [5, 4], "step": 5, "ordinal_position": 6}, {"identifier": "K66", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "Z91", "position": [5, 2], "step": 7, "ordinal_position": 8}, {"identifier": "C86", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "D40", "position": [4, 1], "step": 9, "ordinal_position": 10}, {"identifier": "M92", "position": [3, 1], "step": 10, "ordinal_position": 11}, {"identifier": "L27", "position": [2, 1], "step": 11, "ordinal_position": 12}, {"identifier": "O77", "position": [1, 1], "step": 12, "ordinal_position": 13}, {"identifier": "V14", "position": [1, 2], "step": 13, "ordinal_position": 14}, {"identifier": "N80", "position": [1, 3], "step": 14, "ordinal_position": 15}, {"identifier": "F03", "position": [1, 4], "step": 15, "ordinal_position": 16}, {"identifier": "G75", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "O66", "position": [2, 5], "step": 17, "ordinal_position": 18}, {"identifier": "B13", "position": [3, 5], "step": 18, "ordinal_position": 19}, {"identifier": "W58", "position": [4, 5], "step": 19, "ordinal_position": 20}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 20, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_014.json"}} {"qa_id": "0f37528fb2184165ad1786f4c8ae4bd6", "image_id": "L3-MazeLoop-test_7x7_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O77, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 230th position in this traversal?", "start_object_id": "O77", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [230], "ordinal_strings": ["230th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Z91", "traversal_path": [{"identifier": "O77", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "L27", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "M92", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "D40", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "C86", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Z91", "position": [5, 2], "step": 5, "ordinal_position": 6}, {"identifier": "K66", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "A43", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "Z87", "position": [5, 5], "step": 8, "ordinal_position": 9}, {"identifier": "W58", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "B13", "position": [3, 5], "step": 10, "ordinal_position": 11}, {"identifier": "O66", "position": [2, 5], "step": 11, "ordinal_position": 12}, {"identifier": "G75", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "F03", "position": [1, 4], "step": 13, "ordinal_position": 14}, {"identifier": "N80", "position": [1, 3], "step": 14, "ordinal_position": 15}, {"identifier": "V14", "position": [1, 2], "step": 15, "ordinal_position": 16}, {"identifier": "O77", "position": [1, 1], "step": 16, "ordinal_position": 17}, {"identifier": "L27", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "M92", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "D40", "position": [4, 1], "step": 19, "ordinal_position": 20}, {"identifier": "C86", "position": [5, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Z91", "position": [5, 2], "step": 21, "ordinal_position": 22}, {"identifier": "K66", "position": [5, 3], "step": 22, "ordinal_position": 23}, {"identifier": "A43", "position": [5, 4], "step": 23, "ordinal_position": 24}, {"identifier": "Z87", "position": [5, 5], "step": 24, "ordinal_position": 25}, {"identifier": "W58", "position": [4, 5], "step": 25, "ordinal_position": 26}, {"identifier": "B13", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "O66", "position": [2, 5], "step": 27, "ordinal_position": 28}, {"identifier": "G75", "position": [1, 5], "step": 28, "ordinal_position": 29}, {"identifier": "F03", "position": [1, 4], "step": 29, "ordinal_position": 30}, {"identifier": "N80", "position": [1, 3], "step": 30, "ordinal_position": 31}, {"identifier": "V14", "position": [1, 2], "step": 31, "ordinal_position": 32}, {"identifier": "O77", "position": [1, 1], "step": 32, "ordinal_position": 33}, {"identifier": "L27", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "M92", "position": [3, 1], "step": 34, "ordinal_position": 35}, {"identifier": "D40", "position": [4, 1], "step": 35, "ordinal_position": 36}, {"identifier": "C86", "position": [5, 1], "step": 36, "ordinal_position": 37}, {"identifier": "Z91", "position": [5, 2], "step": 37, "ordinal_position": 38}, {"identifier": "K66", "position": [5, 3], "step": 38, "ordinal_position": 39}, {"identifier": "A43", "position": [5, 4], "step": 39, "ordinal_position": 40}, {"identifier": "Z87", "position": [5, 5], "step": 40, "ordinal_position": 41}, {"identifier": "W58", "position": [4, 5], "step": 41, "ordinal_position": 42}, {"identifier": "B13", "position": [3, 5], "step": 42, "ordinal_position": 43}, {"identifier": "O66", "position": [2, 5], "step": 43, "ordinal_position": 44}, {"identifier": "G75", "position": [1, 5], "step": 44, "ordinal_position": 45}, {"identifier": "F03", "position": [1, 4], "step": 45, "ordinal_position": 46}, {"identifier": "N80", "position": [1, 3], "step": 46, "ordinal_position": 47}, {"identifier": "V14", "position": [1, 2], "step": 47, "ordinal_position": 48}, {"identifier": "O77", "position": [1, 1], "step": 48, "ordinal_position": 49}, {"identifier": "L27", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "M92", "position": [3, 1], "step": 50, "ordinal_position": 51}, {"identifier": "D40", "position": [4, 1], "step": 51, "ordinal_position": 52}, {"identifier": "C86", "position": [5, 1], "step": 52, "ordinal_position": 53}, {"identifier": "Z91", "position": [5, 2], "step": 53, "ordinal_position": 54}, {"identifier": "K66", "position": [5, 3], "step": 54, "ordinal_position": 55}, {"identifier": "A43", "position": [5, 4], "step": 55, "ordinal_position": 56}, {"identifier": "Z87", "position": [5, 5], "step": 56, "ordinal_position": 57}, {"identifier": "W58", "position": [4, 5], "step": 57, "ordinal_position": 58}, {"identifier": "B13", "position": [3, 5], "step": 58, "ordinal_position": 59}, {"identifier": "O66", "position": [2, 5], "step": 59, "ordinal_position": 60}, {"identifier": "G75", "position": [1, 5], "step": 60, "ordinal_position": 61}, {"identifier": "F03", "position": [1, 4], "step": 61, "ordinal_position": 62}, {"identifier": "N80", "position": [1, 3], "step": 62, "ordinal_position": 63}, {"identifier": "V14", "position": [1, 2], "step": 63, "ordinal_position": 64}, {"identifier": "O77", "position": [1, 1], "step": 64, "ordinal_position": 65}, {"identifier": "L27", "position": [2, 1], "step": 65, "ordinal_position": 66}, {"identifier": "M92", "position": [3, 1], "step": 66, "ordinal_position": 67}, {"identifier": "D40", "position": [4, 1], "step": 67, "ordinal_position": 68}, {"identifier": "C86", "position": [5, 1], "step": 68, "ordinal_position": 69}, {"identifier": "Z91", "position": [5, 2], "step": 69, "ordinal_position": 70}, {"identifier": "K66", "position": [5, 3], "step": 70, "ordinal_position": 71}, {"identifier": "A43", "position": [5, 4], "step": 71, "ordinal_position": 72}, {"identifier": "Z87", "position": [5, 5], "step": 72, "ordinal_position": 73}, {"identifier": "W58", "position": [4, 5], "step": 73, "ordinal_position": 74}, {"identifier": "B13", "position": [3, 5], "step": 74, "ordinal_position": 75}, {"identifier": "O66", "position": [2, 5], "step": 75, "ordinal_position": 76}, {"identifier": "G75", "position": [1, 5], "step": 76, "ordinal_position": 77}, {"identifier": "F03", "position": [1, 4], "step": 77, "ordinal_position": 78}, {"identifier": "N80", "position": [1, 3], "step": 78, "ordinal_position": 79}, {"identifier": "V14", "position": [1, 2], "step": 79, "ordinal_position": 80}, {"identifier": "O77", "position": [1, 1], "step": 80, "ordinal_position": 81}, {"identifier": "L27", "position": [2, 1], "step": 81, "ordinal_position": 82}, {"identifier": "M92", "position": [3, 1], "step": 82, "ordinal_position": 83}, {"identifier": "D40", "position": [4, 1], "step": 83, "ordinal_position": 84}, {"identifier": "C86", "position": [5, 1], "step": 84, "ordinal_position": 85}, {"identifier": "Z91", "position": [5, 2], "step": 85, "ordinal_position": 86}, {"identifier": "K66", "position": [5, 3], "step": 86, "ordinal_position": 87}, {"identifier": "A43", "position": [5, 4], "step": 87, "ordinal_position": 88}, {"identifier": "Z87", "position": [5, 5], "step": 88, "ordinal_position": 89}, {"identifier": "W58", "position": [4, 5], "step": 89, "ordinal_position": 90}, {"identifier": "B13", "position": [3, 5], "step": 90, "ordinal_position": 91}, {"identifier": "O66", "position": [2, 5], "step": 91, "ordinal_position": 92}, {"identifier": "G75", "position": [1, 5], "step": 92, "ordinal_position": 93}, {"identifier": "F03", "position": [1, 4], "step": 93, "ordinal_position": 94}, {"identifier": "N80", "position": [1, 3], "step": 94, "ordinal_position": 95}, {"identifier": "V14", "position": [1, 2], "step": 95, "ordinal_position": 96}, {"identifier": "O77", "position": [1, 1], "step": 96, "ordinal_position": 97}, {"identifier": "L27", "position": [2, 1], "step": 97, "ordinal_position": 98}, {"identifier": "M92", "position": [3, 1], "step": 98, "ordinal_position": 99}, {"identifier": "D40", "position": [4, 1], "step": 99, "ordinal_position": 100}, {"identifier": "C86", "position": [5, 1], "step": 100, "ordinal_position": 101}, {"identifier": "Z91", "position": [5, 2], "step": 101, "ordinal_position": 102}, {"identifier": "K66", "position": [5, 3], "step": 102, "ordinal_position": 103}, {"identifier": "A43", "position": [5, 4], "step": 103, "ordinal_position": 104}, {"identifier": "Z87", "position": [5, 5], "step": 104, "ordinal_position": 105}, {"identifier": "W58", "position": [4, 5], "step": 105, "ordinal_position": 106}, {"identifier": "B13", "position": [3, 5], "step": 106, "ordinal_position": 107}, {"identifier": "O66", "position": [2, 5], "step": 107, "ordinal_position": 108}, {"identifier": "G75", "position": [1, 5], "step": 108, "ordinal_position": 109}, {"identifier": "F03", "position": [1, 4], "step": 109, "ordinal_position": 110}, {"identifier": "N80", "position": [1, 3], "step": 110, "ordinal_position": 111}, {"identifier": "V14", "position": [1, 2], "step": 111, "ordinal_position": 112}, {"identifier": "O77", "position": [1, 1], "step": 112, "ordinal_position": 113}, {"identifier": "L27", "position": [2, 1], "step": 113, "ordinal_position": 114}, {"identifier": "M92", "position": [3, 1], "step": 114, "ordinal_position": 115}, {"identifier": "D40", "position": [4, 1], "step": 115, "ordinal_position": 116}, {"identifier": "C86", "position": [5, 1], "step": 116, "ordinal_position": 117}, {"identifier": "Z91", "position": [5, 2], "step": 117, "ordinal_position": 118}, {"identifier": "K66", "position": [5, 3], "step": 118, "ordinal_position": 119}, {"identifier": "A43", "position": [5, 4], "step": 119, "ordinal_position": 120}, {"identifier": "Z87", "position": [5, 5], "step": 120, "ordinal_position": 121}, {"identifier": "W58", "position": [4, 5], "step": 121, "ordinal_position": 122}, {"identifier": "B13", "position": [3, 5], "step": 122, "ordinal_position": 123}, {"identifier": "O66", "position": [2, 5], "step": 123, "ordinal_position": 124}, {"identifier": "G75", "position": [1, 5], "step": 124, "ordinal_position": 125}, {"identifier": "F03", "position": [1, 4], "step": 125, "ordinal_position": 126}, {"identifier": "N80", "position": [1, 3], "step": 126, "ordinal_position": 127}, {"identifier": "V14", "position": [1, 2], "step": 127, "ordinal_position": 128}, {"identifier": "O77", "position": [1, 1], "step": 128, "ordinal_position": 129}, {"identifier": "L27", "position": [2, 1], "step": 129, "ordinal_position": 130}, {"identifier": "M92", "position": [3, 1], "step": 130, "ordinal_position": 131}, {"identifier": "D40", "position": [4, 1], "step": 131, "ordinal_position": 132}, {"identifier": "C86", "position": [5, 1], "step": 132, "ordinal_position": 133}, {"identifier": "Z91", "position": [5, 2], "step": 133, "ordinal_position": 134}, {"identifier": "K66", "position": [5, 3], "step": 134, "ordinal_position": 135}, {"identifier": "A43", "position": [5, 4], "step": 135, "ordinal_position": 136}, {"identifier": "Z87", "position": [5, 5], "step": 136, "ordinal_position": 137}, {"identifier": "W58", "position": [4, 5], "step": 137, "ordinal_position": 138}, {"identifier": "B13", "position": [3, 5], "step": 138, "ordinal_position": 139}, {"identifier": "O66", "position": [2, 5], "step": 139, "ordinal_position": 140}, {"identifier": "G75", "position": [1, 5], "step": 140, "ordinal_position": 141}, {"identifier": "F03", "position": [1, 4], "step": 141, "ordinal_position": 142}, {"identifier": "N80", "position": [1, 3], "step": 142, "ordinal_position": 143}, {"identifier": "V14", "position": [1, 2], "step": 143, "ordinal_position": 144}, {"identifier": "O77", "position": [1, 1], "step": 144, "ordinal_position": 145}, {"identifier": "L27", "position": [2, 1], "step": 145, "ordinal_position": 146}, {"identifier": "M92", "position": [3, 1], "step": 146, "ordinal_position": 147}, {"identifier": "D40", "position": [4, 1], "step": 147, "ordinal_position": 148}, {"identifier": "C86", "position": [5, 1], "step": 148, "ordinal_position": 149}, {"identifier": "Z91", "position": [5, 2], "step": 149, "ordinal_position": 150}, {"identifier": "K66", "position": [5, 3], "step": 150, "ordinal_position": 151}, {"identifier": "A43", "position": [5, 4], "step": 151, "ordinal_position": 152}, {"identifier": "Z87", "position": [5, 5], "step": 152, "ordinal_position": 153}, {"identifier": "W58", "position": [4, 5], "step": 153, "ordinal_position": 154}, {"identifier": "B13", "position": [3, 5], "step": 154, "ordinal_position": 155}, {"identifier": "O66", "position": [2, 5], "step": 155, "ordinal_position": 156}, {"identifier": "G75", "position": [1, 5], "step": 156, "ordinal_position": 157}, {"identifier": "F03", "position": [1, 4], "step": 157, "ordinal_position": 158}, {"identifier": "N80", "position": [1, 3], "step": 158, "ordinal_position": 159}, {"identifier": "V14", "position": [1, 2], "step": 159, "ordinal_position": 160}, {"identifier": "O77", "position": [1, 1], "step": 160, "ordinal_position": 161}, {"identifier": "L27", "position": [2, 1], "step": 161, "ordinal_position": 162}, {"identifier": "M92", "position": [3, 1], "step": 162, "ordinal_position": 163}, {"identifier": "D40", "position": [4, 1], "step": 163, "ordinal_position": 164}, {"identifier": "C86", "position": [5, 1], "step": 164, "ordinal_position": 165}, {"identifier": "Z91", "position": [5, 2], "step": 165, "ordinal_position": 166}, {"identifier": "K66", "position": [5, 3], "step": 166, "ordinal_position": 167}, {"identifier": "A43", "position": [5, 4], "step": 167, "ordinal_position": 168}, {"identifier": "Z87", "position": [5, 5], "step": 168, "ordinal_position": 169}, {"identifier": "W58", "position": [4, 5], "step": 169, "ordinal_position": 170}, {"identifier": "B13", "position": [3, 5], "step": 170, "ordinal_position": 171}, {"identifier": "O66", "position": [2, 5], "step": 171, "ordinal_position": 172}, {"identifier": "G75", "position": [1, 5], "step": 172, "ordinal_position": 173}, {"identifier": "F03", "position": [1, 4], "step": 173, "ordinal_position": 174}, {"identifier": "N80", "position": [1, 3], "step": 174, "ordinal_position": 175}, {"identifier": "V14", "position": [1, 2], "step": 175, "ordinal_position": 176}, {"identifier": "O77", "position": [1, 1], "step": 176, "ordinal_position": 177}, {"identifier": "L27", "position": [2, 1], "step": 177, "ordinal_position": 178}, {"identifier": "M92", "position": [3, 1], "step": 178, "ordinal_position": 179}, {"identifier": "D40", "position": [4, 1], "step": 179, "ordinal_position": 180}, {"identifier": "C86", "position": [5, 1], "step": 180, "ordinal_position": 181}, {"identifier": "Z91", "position": [5, 2], "step": 181, "ordinal_position": 182}, {"identifier": "K66", "position": [5, 3], "step": 182, "ordinal_position": 183}, {"identifier": "A43", "position": [5, 4], "step": 183, "ordinal_position": 184}, {"identifier": "Z87", "position": [5, 5], "step": 184, "ordinal_position": 185}, {"identifier": "W58", "position": [4, 5], "step": 185, "ordinal_position": 186}, {"identifier": "B13", "position": [3, 5], "step": 186, "ordinal_position": 187}, {"identifier": "O66", "position": [2, 5], "step": 187, "ordinal_position": 188}, {"identifier": "G75", "position": [1, 5], "step": 188, "ordinal_position": 189}, {"identifier": "F03", "position": [1, 4], "step": 189, "ordinal_position": 190}, {"identifier": "N80", "position": [1, 3], "step": 190, "ordinal_position": 191}, {"identifier": "V14", "position": [1, 2], "step": 191, "ordinal_position": 192}, {"identifier": "O77", "position": [1, 1], "step": 192, "ordinal_position": 193}, {"identifier": "L27", "position": [2, 1], "step": 193, "ordinal_position": 194}, {"identifier": "M92", "position": [3, 1], "step": 194, "ordinal_position": 195}, {"identifier": "D40", "position": [4, 1], "step": 195, "ordinal_position": 196}, {"identifier": "C86", "position": [5, 1], "step": 196, "ordinal_position": 197}, {"identifier": "Z91", "position": [5, 2], "step": 197, "ordinal_position": 198}, {"identifier": "K66", "position": [5, 3], "step": 198, "ordinal_position": 199}, {"identifier": "A43", "position": [5, 4], "step": 199, "ordinal_position": 200}, {"identifier": "Z87", "position": [5, 5], "step": 200, "ordinal_position": 201}, {"identifier": "W58", "position": [4, 5], "step": 201, "ordinal_position": 202}, {"identifier": "B13", "position": [3, 5], "step": 202, "ordinal_position": 203}, {"identifier": "O66", "position": [2, 5], "step": 203, "ordinal_position": 204}, {"identifier": "G75", "position": [1, 5], "step": 204, "ordinal_position": 205}, {"identifier": "F03", "position": [1, 4], "step": 205, "ordinal_position": 206}, {"identifier": "N80", "position": [1, 3], "step": 206, "ordinal_position": 207}, {"identifier": "V14", "position": [1, 2], "step": 207, "ordinal_position": 208}, {"identifier": "O77", "position": [1, 1], "step": 208, "ordinal_position": 209}, {"identifier": "L27", "position": [2, 1], "step": 209, "ordinal_position": 210}, {"identifier": "M92", "position": [3, 1], "step": 210, "ordinal_position": 211}, {"identifier": "D40", "position": [4, 1], "step": 211, "ordinal_position": 212}, {"identifier": "C86", "position": [5, 1], "step": 212, "ordinal_position": 213}, {"identifier": "Z91", "position": [5, 2], "step": 213, "ordinal_position": 214}, {"identifier": "K66", "position": [5, 3], "step": 214, "ordinal_position": 215}, {"identifier": "A43", "position": [5, 4], "step": 215, "ordinal_position": 216}, {"identifier": "Z87", "position": [5, 5], "step": 216, "ordinal_position": 217}, {"identifier": "W58", "position": [4, 5], "step": 217, "ordinal_position": 218}, {"identifier": "B13", "position": [3, 5], "step": 218, "ordinal_position": 219}, {"identifier": "O66", "position": [2, 5], "step": 219, "ordinal_position": 220}, {"identifier": "G75", "position": [1, 5], "step": 220, "ordinal_position": 221}, {"identifier": "F03", "position": [1, 4], "step": 221, "ordinal_position": 222}, {"identifier": "N80", "position": [1, 3], "step": 222, "ordinal_position": 223}, {"identifier": "V14", "position": [1, 2], "step": 223, "ordinal_position": 224}, {"identifier": "O77", "position": [1, 1], "step": 224, "ordinal_position": 225}, {"identifier": "L27", "position": [2, 1], "step": 225, "ordinal_position": 226}, {"identifier": "M92", "position": [3, 1], "step": 226, "ordinal_position": 227}, {"identifier": "D40", "position": [4, 1], "step": 227, "ordinal_position": 228}, {"identifier": "C86", "position": [5, 1], "step": 228, "ordinal_position": 229}, {"identifier": "Z91", "position": [5, 2], "step": 229, "ordinal_position": 230}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 230, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_014.json"}} {"qa_id": "ed5ab52a59564b2dae99d130d6ff981a", "image_id": "L3-MazeLoop-test_7x7_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F03, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 138th position in this traversal?", "start_object_id": "F03", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [138], "ordinal_strings": ["138th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K66", "traversal_path": [{"identifier": "F03", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "N80", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "V14", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "O77", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "L27", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "M92", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "D40", "position": [4, 1], "step": 6, "ordinal_position": 7}, {"identifier": "C86", "position": [5, 1], "step": 7, "ordinal_position": 8}, {"identifier": "Z91", "position": [5, 2], "step": 8, "ordinal_position": 9}, {"identifier": "K66", "position": [5, 3], "step": 9, "ordinal_position": 10}, {"identifier": "A43", "position": [5, 4], "step": 10, "ordinal_position": 11}, {"identifier": "Z87", "position": [5, 5], "step": 11, "ordinal_position": 12}, {"identifier": "W58", "position": [4, 5], "step": 12, "ordinal_position": 13}, {"identifier": "B13", "position": [3, 5], "step": 13, "ordinal_position": 14}, {"identifier": "O66", "position": [2, 5], "step": 14, "ordinal_position": 15}, {"identifier": "G75", "position": [1, 5], "step": 15, "ordinal_position": 16}, {"identifier": "F03", "position": [1, 4], "step": 16, "ordinal_position": 17}, {"identifier": "N80", "position": [1, 3], "step": 17, "ordinal_position": 18}, {"identifier": "V14", "position": [1, 2], "step": 18, "ordinal_position": 19}, {"identifier": "O77", "position": [1, 1], "step": 19, "ordinal_position": 20}, {"identifier": "L27", "position": [2, 1], "step": 20, "ordinal_position": 21}, {"identifier": "M92", "position": [3, 1], "step": 21, "ordinal_position": 22}, {"identifier": "D40", "position": [4, 1], "step": 22, "ordinal_position": 23}, {"identifier": "C86", "position": [5, 1], "step": 23, "ordinal_position": 24}, {"identifier": "Z91", "position": [5, 2], "step": 24, "ordinal_position": 25}, {"identifier": "K66", "position": [5, 3], "step": 25, "ordinal_position": 26}, {"identifier": "A43", "position": [5, 4], "step": 26, "ordinal_position": 27}, {"identifier": "Z87", "position": [5, 5], "step": 27, "ordinal_position": 28}, {"identifier": "W58", "position": [4, 5], "step": 28, "ordinal_position": 29}, {"identifier": "B13", "position": [3, 5], "step": 29, "ordinal_position": 30}, {"identifier": "O66", "position": [2, 5], "step": 30, "ordinal_position": 31}, {"identifier": "G75", "position": [1, 5], "step": 31, "ordinal_position": 32}, {"identifier": "F03", "position": [1, 4], "step": 32, "ordinal_position": 33}, {"identifier": "N80", "position": [1, 3], "step": 33, "ordinal_position": 34}, {"identifier": "V14", "position": [1, 2], "step": 34, "ordinal_position": 35}, {"identifier": "O77", "position": [1, 1], "step": 35, "ordinal_position": 36}, {"identifier": "L27", "position": [2, 1], "step": 36, "ordinal_position": 37}, {"identifier": "M92", "position": [3, 1], "step": 37, "ordinal_position": 38}, {"identifier": "D40", "position": [4, 1], "step": 38, "ordinal_position": 39}, {"identifier": "C86", "position": [5, 1], "step": 39, "ordinal_position": 40}, {"identifier": "Z91", "position": [5, 2], "step": 40, "ordinal_position": 41}, {"identifier": "K66", "position": [5, 3], "step": 41, "ordinal_position": 42}, {"identifier": "A43", "position": [5, 4], "step": 42, "ordinal_position": 43}, {"identifier": "Z87", "position": [5, 5], "step": 43, "ordinal_position": 44}, {"identifier": "W58", "position": [4, 5], "step": 44, "ordinal_position": 45}, {"identifier": "B13", "position": [3, 5], "step": 45, "ordinal_position": 46}, {"identifier": "O66", "position": [2, 5], "step": 46, "ordinal_position": 47}, {"identifier": "G75", "position": [1, 5], "step": 47, "ordinal_position": 48}, {"identifier": "F03", "position": [1, 4], "step": 48, "ordinal_position": 49}, {"identifier": "N80", "position": [1, 3], "step": 49, "ordinal_position": 50}, {"identifier": "V14", "position": [1, 2], "step": 50, "ordinal_position": 51}, {"identifier": "O77", "position": [1, 1], "step": 51, "ordinal_position": 52}, {"identifier": "L27", "position": [2, 1], "step": 52, "ordinal_position": 53}, {"identifier": "M92", "position": [3, 1], "step": 53, "ordinal_position": 54}, {"identifier": "D40", "position": [4, 1], "step": 54, "ordinal_position": 55}, {"identifier": "C86", "position": [5, 1], "step": 55, "ordinal_position": 56}, {"identifier": "Z91", "position": [5, 2], "step": 56, "ordinal_position": 57}, {"identifier": "K66", "position": [5, 3], "step": 57, "ordinal_position": 58}, {"identifier": "A43", "position": [5, 4], "step": 58, "ordinal_position": 59}, {"identifier": "Z87", "position": [5, 5], "step": 59, "ordinal_position": 60}, {"identifier": "W58", "position": [4, 5], "step": 60, "ordinal_position": 61}, {"identifier": "B13", "position": [3, 5], "step": 61, "ordinal_position": 62}, {"identifier": "O66", "position": [2, 5], "step": 62, "ordinal_position": 63}, {"identifier": "G75", "position": [1, 5], "step": 63, "ordinal_position": 64}, {"identifier": "F03", "position": [1, 4], "step": 64, "ordinal_position": 65}, {"identifier": "N80", "position": [1, 3], "step": 65, "ordinal_position": 66}, {"identifier": "V14", "position": [1, 2], "step": 66, "ordinal_position": 67}, {"identifier": "O77", "position": [1, 1], "step": 67, "ordinal_position": 68}, {"identifier": "L27", "position": [2, 1], "step": 68, "ordinal_position": 69}, {"identifier": "M92", "position": [3, 1], "step": 69, "ordinal_position": 70}, {"identifier": "D40", "position": [4, 1], "step": 70, "ordinal_position": 71}, {"identifier": "C86", "position": [5, 1], "step": 71, "ordinal_position": 72}, {"identifier": "Z91", "position": [5, 2], "step": 72, "ordinal_position": 73}, {"identifier": "K66", "position": [5, 3], "step": 73, "ordinal_position": 74}, {"identifier": "A43", "position": [5, 4], "step": 74, "ordinal_position": 75}, {"identifier": "Z87", "position": [5, 5], "step": 75, "ordinal_position": 76}, {"identifier": "W58", "position": [4, 5], "step": 76, "ordinal_position": 77}, {"identifier": "B13", "position": [3, 5], "step": 77, "ordinal_position": 78}, {"identifier": "O66", "position": [2, 5], "step": 78, "ordinal_position": 79}, {"identifier": "G75", "position": [1, 5], "step": 79, "ordinal_position": 80}, {"identifier": "F03", "position": [1, 4], "step": 80, "ordinal_position": 81}, {"identifier": "N80", "position": [1, 3], "step": 81, "ordinal_position": 82}, {"identifier": "V14", "position": [1, 2], "step": 82, "ordinal_position": 83}, {"identifier": "O77", "position": [1, 1], "step": 83, "ordinal_position": 84}, {"identifier": "L27", "position": [2, 1], "step": 84, "ordinal_position": 85}, {"identifier": "M92", "position": [3, 1], "step": 85, "ordinal_position": 86}, {"identifier": "D40", "position": [4, 1], "step": 86, "ordinal_position": 87}, {"identifier": "C86", "position": [5, 1], "step": 87, "ordinal_position": 88}, {"identifier": "Z91", "position": [5, 2], "step": 88, "ordinal_position": 89}, {"identifier": "K66", "position": [5, 3], "step": 89, "ordinal_position": 90}, {"identifier": "A43", "position": [5, 4], "step": 90, "ordinal_position": 91}, {"identifier": "Z87", "position": [5, 5], "step": 91, "ordinal_position": 92}, {"identifier": "W58", "position": [4, 5], "step": 92, "ordinal_position": 93}, {"identifier": "B13", "position": [3, 5], "step": 93, "ordinal_position": 94}, {"identifier": "O66", "position": [2, 5], "step": 94, "ordinal_position": 95}, {"identifier": "G75", "position": [1, 5], "step": 95, "ordinal_position": 96}, {"identifier": "F03", "position": [1, 4], "step": 96, "ordinal_position": 97}, {"identifier": "N80", "position": [1, 3], "step": 97, "ordinal_position": 98}, {"identifier": "V14", "position": [1, 2], "step": 98, "ordinal_position": 99}, {"identifier": "O77", "position": [1, 1], "step": 99, "ordinal_position": 100}, {"identifier": "L27", "position": [2, 1], "step": 100, "ordinal_position": 101}, {"identifier": "M92", "position": [3, 1], "step": 101, "ordinal_position": 102}, {"identifier": "D40", "position": [4, 1], "step": 102, "ordinal_position": 103}, {"identifier": "C86", "position": [5, 1], "step": 103, "ordinal_position": 104}, {"identifier": "Z91", "position": [5, 2], "step": 104, "ordinal_position": 105}, {"identifier": "K66", "position": [5, 3], "step": 105, "ordinal_position": 106}, {"identifier": "A43", "position": [5, 4], "step": 106, "ordinal_position": 107}, {"identifier": "Z87", "position": [5, 5], "step": 107, "ordinal_position": 108}, {"identifier": "W58", "position": [4, 5], "step": 108, "ordinal_position": 109}, {"identifier": "B13", "position": [3, 5], "step": 109, "ordinal_position": 110}, {"identifier": "O66", "position": [2, 5], "step": 110, "ordinal_position": 111}, {"identifier": "G75", "position": [1, 5], "step": 111, "ordinal_position": 112}, {"identifier": "F03", "position": [1, 4], "step": 112, "ordinal_position": 113}, {"identifier": "N80", "position": [1, 3], "step": 113, "ordinal_position": 114}, {"identifier": "V14", "position": [1, 2], "step": 114, "ordinal_position": 115}, {"identifier": "O77", "position": [1, 1], "step": 115, "ordinal_position": 116}, {"identifier": "L27", "position": [2, 1], "step": 116, "ordinal_position": 117}, {"identifier": "M92", "position": [3, 1], "step": 117, "ordinal_position": 118}, {"identifier": "D40", "position": [4, 1], "step": 118, "ordinal_position": 119}, {"identifier": "C86", "position": [5, 1], "step": 119, "ordinal_position": 120}, {"identifier": "Z91", "position": [5, 2], "step": 120, "ordinal_position": 121}, {"identifier": "K66", "position": [5, 3], "step": 121, "ordinal_position": 122}, {"identifier": "A43", "position": [5, 4], "step": 122, "ordinal_position": 123}, {"identifier": "Z87", "position": [5, 5], "step": 123, "ordinal_position": 124}, {"identifier": "W58", "position": [4, 5], "step": 124, "ordinal_position": 125}, {"identifier": "B13", "position": [3, 5], "step": 125, "ordinal_position": 126}, {"identifier": "O66", "position": [2, 5], "step": 126, "ordinal_position": 127}, {"identifier": "G75", "position": [1, 5], "step": 127, "ordinal_position": 128}, {"identifier": "F03", "position": [1, 4], "step": 128, "ordinal_position": 129}, {"identifier": "N80", "position": [1, 3], "step": 129, "ordinal_position": 130}, {"identifier": "V14", "position": [1, 2], "step": 130, "ordinal_position": 131}, {"identifier": "O77", "position": [1, 1], "step": 131, "ordinal_position": 132}, {"identifier": "L27", "position": [2, 1], "step": 132, "ordinal_position": 133}, {"identifier": "M92", "position": [3, 1], "step": 133, "ordinal_position": 134}, {"identifier": "D40", "position": [4, 1], "step": 134, "ordinal_position": 135}, {"identifier": "C86", "position": [5, 1], "step": 135, "ordinal_position": 136}, {"identifier": "Z91", "position": [5, 2], "step": 136, "ordinal_position": 137}, {"identifier": "K66", "position": [5, 3], "step": 137, "ordinal_position": 138}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 138, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_014.json"}} {"qa_id": "3d0e140e4c09490984ab161fc2e815fb", "image_id": "L3-MazeLoop-test_7x7_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D40, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 224th position in this traversal?", "start_object_id": "D40", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [224], "ordinal_strings": ["224th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "C86", "traversal_path": [{"identifier": "D40", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "M92", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "L27", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "O77", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "V14", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "N80", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "F03", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "G75", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "O66", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "B13", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "W58", "position": [4, 5], "step": 10, "ordinal_position": 11}, {"identifier": "Z87", "position": [5, 5], "step": 11, "ordinal_position": 12}, {"identifier": "A43", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "K66", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "Z91", "position": [5, 2], "step": 14, "ordinal_position": 15}, {"identifier": "C86", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "D40", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "M92", "position": [3, 1], "step": 17, "ordinal_position": 18}, {"identifier": "L27", "position": [2, 1], "step": 18, "ordinal_position": 19}, {"identifier": "O77", "position": [1, 1], "step": 19, "ordinal_position": 20}, {"identifier": "V14", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "N80", "position": [1, 3], "step": 21, "ordinal_position": 22}, {"identifier": "F03", "position": [1, 4], "step": 22, "ordinal_position": 23}, {"identifier": "G75", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "O66", "position": [2, 5], "step": 24, "ordinal_position": 25}, {"identifier": "B13", "position": [3, 5], "step": 25, "ordinal_position": 26}, {"identifier": "W58", "position": [4, 5], "step": 26, "ordinal_position": 27}, {"identifier": "Z87", "position": [5, 5], "step": 27, "ordinal_position": 28}, {"identifier": "A43", "position": [5, 4], "step": 28, "ordinal_position": 29}, {"identifier": "K66", "position": [5, 3], "step": 29, "ordinal_position": 30}, {"identifier": "Z91", "position": [5, 2], "step": 30, "ordinal_position": 31}, {"identifier": "C86", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "D40", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "M92", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "L27", "position": [2, 1], "step": 34, "ordinal_position": 35}, {"identifier": "O77", "position": [1, 1], "step": 35, "ordinal_position": 36}, {"identifier": "V14", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "N80", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "F03", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "G75", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "O66", "position": [2, 5], "step": 40, "ordinal_position": 41}, {"identifier": "B13", "position": [3, 5], "step": 41, "ordinal_position": 42}, {"identifier": "W58", "position": [4, 5], "step": 42, "ordinal_position": 43}, {"identifier": "Z87", "position": [5, 5], "step": 43, "ordinal_position": 44}, {"identifier": "A43", "position": [5, 4], "step": 44, "ordinal_position": 45}, {"identifier": "K66", "position": [5, 3], "step": 45, "ordinal_position": 46}, {"identifier": "Z91", "position": [5, 2], "step": 46, "ordinal_position": 47}, {"identifier": "C86", "position": [5, 1], "step": 47, "ordinal_position": 48}, {"identifier": "D40", "position": [4, 1], "step": 48, "ordinal_position": 49}, {"identifier": "M92", "position": [3, 1], "step": 49, "ordinal_position": 50}, {"identifier": "L27", "position": [2, 1], "step": 50, "ordinal_position": 51}, {"identifier": "O77", "position": [1, 1], "step": 51, "ordinal_position": 52}, {"identifier": "V14", "position": [1, 2], "step": 52, "ordinal_position": 53}, {"identifier": "N80", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "F03", "position": [1, 4], "step": 54, "ordinal_position": 55}, {"identifier": "G75", "position": [1, 5], "step": 55, "ordinal_position": 56}, {"identifier": "O66", "position": [2, 5], "step": 56, "ordinal_position": 57}, {"identifier": "B13", "position": [3, 5], "step": 57, "ordinal_position": 58}, {"identifier": "W58", "position": [4, 5], "step": 58, "ordinal_position": 59}, {"identifier": "Z87", "position": [5, 5], "step": 59, "ordinal_position": 60}, {"identifier": "A43", "position": [5, 4], "step": 60, "ordinal_position": 61}, {"identifier": "K66", "position": [5, 3], "step": 61, "ordinal_position": 62}, {"identifier": "Z91", "position": [5, 2], "step": 62, "ordinal_position": 63}, {"identifier": "C86", "position": [5, 1], "step": 63, "ordinal_position": 64}, {"identifier": "D40", "position": [4, 1], "step": 64, "ordinal_position": 65}, {"identifier": "M92", "position": [3, 1], "step": 65, "ordinal_position": 66}, {"identifier": "L27", "position": [2, 1], "step": 66, "ordinal_position": 67}, {"identifier": "O77", "position": [1, 1], "step": 67, "ordinal_position": 68}, {"identifier": "V14", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "N80", "position": [1, 3], "step": 69, "ordinal_position": 70}, {"identifier": "F03", "position": [1, 4], "step": 70, "ordinal_position": 71}, {"identifier": "G75", "position": [1, 5], "step": 71, "ordinal_position": 72}, {"identifier": "O66", "position": [2, 5], "step": 72, "ordinal_position": 73}, {"identifier": "B13", "position": [3, 5], "step": 73, "ordinal_position": 74}, {"identifier": "W58", "position": [4, 5], "step": 74, "ordinal_position": 75}, {"identifier": "Z87", 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88}, {"identifier": "O66", "position": [2, 5], "step": 88, "ordinal_position": 89}, {"identifier": "B13", "position": [3, 5], "step": 89, "ordinal_position": 90}, {"identifier": "W58", "position": [4, 5], "step": 90, "ordinal_position": 91}, {"identifier": "Z87", "position": [5, 5], "step": 91, "ordinal_position": 92}, {"identifier": "A43", "position": [5, 4], "step": 92, "ordinal_position": 93}, {"identifier": "K66", "position": [5, 3], "step": 93, "ordinal_position": 94}, {"identifier": "Z91", "position": [5, 2], "step": 94, "ordinal_position": 95}, {"identifier": "C86", "position": [5, 1], "step": 95, "ordinal_position": 96}, {"identifier": "D40", "position": [4, 1], "step": 96, "ordinal_position": 97}, {"identifier": "M92", "position": [3, 1], "step": 97, "ordinal_position": 98}, {"identifier": "L27", "position": [2, 1], "step": 98, "ordinal_position": 99}, {"identifier": "O77", "position": [1, 1], "step": 99, "ordinal_position": 100}, {"identifier": "V14", "position": [1, 2], "step": 100, "ordinal_position": 101}, {"identifier": "N80", "position": [1, 3], "step": 101, "ordinal_position": 102}, {"identifier": "F03", "position": [1, 4], "step": 102, "ordinal_position": 103}, {"identifier": "G75", "position": [1, 5], "step": 103, "ordinal_position": 104}, {"identifier": "O66", "position": [2, 5], "step": 104, "ordinal_position": 105}, {"identifier": "B13", "position": [3, 5], "step": 105, "ordinal_position": 106}, {"identifier": "W58", "position": [4, 5], "step": 106, "ordinal_position": 107}, {"identifier": "Z87", "position": [5, 5], "step": 107, "ordinal_position": 108}, {"identifier": "A43", "position": [5, 4], "step": 108, "ordinal_position": 109}, {"identifier": "K66", "position": [5, 3], "step": 109, "ordinal_position": 110}, {"identifier": "Z91", "position": [5, 2], "step": 110, "ordinal_position": 111}, {"identifier": "C86", "position": [5, 1], "step": 111, "ordinal_position": 112}, {"identifier": "D40", "position": [4, 1], "step": 112, "ordinal_position": 113}, {"identifier": "M92", "position": [3, 1], "step": 113, "ordinal_position": 114}, {"identifier": "L27", "position": [2, 1], "step": 114, "ordinal_position": 115}, {"identifier": "O77", "position": [1, 1], "step": 115, "ordinal_position": 116}, {"identifier": "V14", "position": [1, 2], "step": 116, "ordinal_position": 117}, {"identifier": "N80", "position": [1, 3], "step": 117, "ordinal_position": 118}, {"identifier": "F03", "position": [1, 4], "step": 118, "ordinal_position": 119}, {"identifier": "G75", "position": [1, 5], "step": 119, "ordinal_position": 120}, {"identifier": "O66", "position": [2, 5], "step": 120, "ordinal_position": 121}, {"identifier": "B13", "position": [3, 5], "step": 121, "ordinal_position": 122}, {"identifier": "W58", "position": [4, 5], "step": 122, "ordinal_position": 123}, {"identifier": "Z87", "position": [5, 5], "step": 123, "ordinal_position": 124}, {"identifier": "A43", "position": [5, 4], "step": 124, "ordinal_position": 125}, {"identifier": "K66", "position": [5, 3], "step": 125, "ordinal_position": 126}, {"identifier": "Z91", "position": [5, 2], "step": 126, "ordinal_position": 127}, {"identifier": "C86", "position": [5, 1], "step": 127, "ordinal_position": 128}, {"identifier": "D40", "position": [4, 1], "step": 128, "ordinal_position": 129}, {"identifier": "M92", "position": [3, 1], "step": 129, "ordinal_position": 130}, {"identifier": "L27", "position": [2, 1], "step": 130, "ordinal_position": 131}, {"identifier": "O77", "position": [1, 1], "step": 131, "ordinal_position": 132}, {"identifier": "V14", "position": [1, 2], "step": 132, "ordinal_position": 133}, {"identifier": "N80", "position": [1, 3], "step": 133, "ordinal_position": 134}, {"identifier": "F03", "position": [1, 4], "step": 134, "ordinal_position": 135}, {"identifier": "G75", "position": [1, 5], "step": 135, "ordinal_position": 136}, {"identifier": "O66", "position": [2, 5], "step": 136, "ordinal_position": 137}, {"identifier": "B13", "position": [3, 5], "step": 137, "ordinal_position": 138}, {"identifier": "W58", "position": [4, 5], "step": 138, "ordinal_position": 139}, {"identifier": "Z87", "position": [5, 5], "step": 139, "ordinal_position": 140}, {"identifier": "A43", "position": [5, 4], "step": 140, "ordinal_position": 141}, {"identifier": "K66", "position": [5, 3], "step": 141, "ordinal_position": 142}, {"identifier": "Z91", "position": [5, 2], "step": 142, "ordinal_position": 143}, {"identifier": "C86", "position": [5, 1], "step": 143, "ordinal_position": 144}, {"identifier": "D40", "position": [4, 1], "step": 144, "ordinal_position": 145}, {"identifier": "M92", "position": [3, 1], "step": 145, "ordinal_position": 146}, {"identifier": "L27", "position": [2, 1], "step": 146, "ordinal_position": 147}, {"identifier": "O77", "position": [1, 1], "step": 147, "ordinal_position": 148}, {"identifier": "V14", "position": [1, 2], "step": 148, "ordinal_position": 149}, {"identifier": "N80", "position": [1, 3], "step": 149, "ordinal_position": 150}, {"identifier": "F03", "position": [1, 4], "step": 150, "ordinal_position": 151}, {"identifier": "G75", "position": [1, 5], "step": 151, "ordinal_position": 152}, {"identifier": "O66", "position": [2, 5], "step": 152, "ordinal_position": 153}, {"identifier": "B13", "position": [3, 5], "step": 153, "ordinal_position": 154}, {"identifier": "W58", "position": [4, 5], "step": 154, "ordinal_position": 155}, {"identifier": "Z87", "position": [5, 5], "step": 155, "ordinal_position": 156}, {"identifier": "A43", "position": [5, 4], "step": 156, "ordinal_position": 157}, {"identifier": "K66", "position": [5, 3], "step": 157, "ordinal_position": 158}, {"identifier": "Z91", "position": [5, 2], "step": 158, "ordinal_position": 159}, {"identifier": "C86", "position": [5, 1], "step": 159, "ordinal_position": 160}, {"identifier": "D40", "position": [4, 1], "step": 160, "ordinal_position": 161}, {"identifier": "M92", "position": [3, 1], "step": 161, "ordinal_position": 162}, {"identifier": "L27", "position": [2, 1], "step": 162, "ordinal_position": 163}, {"identifier": "O77", "position": [1, 1], "step": 163, "ordinal_position": 164}, {"identifier": "V14", "position": [1, 2], "step": 164, "ordinal_position": 165}, {"identifier": "N80", "position": [1, 3], "step": 165, "ordinal_position": 166}, {"identifier": "F03", "position": [1, 4], "step": 166, "ordinal_position": 167}, {"identifier": "G75", "position": [1, 5], "step": 167, "ordinal_position": 168}, {"identifier": "O66", "position": [2, 5], "step": 168, "ordinal_position": 169}, {"identifier": "B13", "position": [3, 5], "step": 169, "ordinal_position": 170}, {"identifier": "W58", "position": [4, 5], "step": 170, "ordinal_position": 171}, {"identifier": "Z87", "position": [5, 5], "step": 171, "ordinal_position": 172}, {"identifier": "A43", "position": [5, 4], "step": 172, "ordinal_position": 173}, {"identifier": "K66", "position": [5, 3], "step": 173, "ordinal_position": 174}, {"identifier": "Z91", "position": [5, 2], "step": 174, "ordinal_position": 175}, {"identifier": "C86", "position": [5, 1], "step": 175, "ordinal_position": 176}, {"identifier": "D40", "position": [4, 1], "step": 176, "ordinal_position": 177}, {"identifier": "M92", "position": [3, 1], "step": 177, "ordinal_position": 178}, {"identifier": "L27", "position": [2, 1], "step": 178, "ordinal_position": 179}, {"identifier": "O77", "position": [1, 1], "step": 179, "ordinal_position": 180}, {"identifier": "V14", "position": [1, 2], "step": 180, "ordinal_position": 181}, {"identifier": "N80", "position": [1, 3], "step": 181, "ordinal_position": 182}, {"identifier": "F03", "position": [1, 4], "step": 182, "ordinal_position": 183}, {"identifier": "G75", "position": [1, 5], "step": 183, "ordinal_position": 184}, {"identifier": "O66", "position": [2, 5], "step": 184, "ordinal_position": 185}, {"identifier": "B13", "position": [3, 5], "step": 185, "ordinal_position": 186}, {"identifier": "W58", "position": [4, 5], "step": 186, "ordinal_position": 187}, {"identifier": "Z87", "position": [5, 5], "step": 187, "ordinal_position": 188}, {"identifier": "A43", "position": [5, 4], "step": 188, "ordinal_position": 189}, {"identifier": "K66", "position": [5, 3], "step": 189, "ordinal_position": 190}, {"identifier": "Z91", "position": [5, 2], "step": 190, "ordinal_position": 191}, {"identifier": "C86", "position": [5, 1], "step": 191, "ordinal_position": 192}, {"identifier": "D40", "position": [4, 1], "step": 192, "ordinal_position": 193}, {"identifier": "M92", "position": [3, 1], "step": 193, "ordinal_position": 194}, {"identifier": "L27", "position": [2, 1], "step": 194, "ordinal_position": 195}, {"identifier": "O77", "position": [1, 1], "step": 195, "ordinal_position": 196}, {"identifier": "V14", "position": [1, 2], "step": 196, "ordinal_position": 197}, {"identifier": "N80", "position": [1, 3], "step": 197, "ordinal_position": 198}, {"identifier": "F03", "position": [1, 4], "step": 198, "ordinal_position": 199}, {"identifier": "G75", "position": [1, 5], "step": 199, "ordinal_position": 200}, {"identifier": "O66", "position": [2, 5], "step": 200, "ordinal_position": 201}, {"identifier": "B13", "position": [3, 5], "step": 201, "ordinal_position": 202}, {"identifier": "W58", "position": [4, 5], "step": 202, "ordinal_position": 203}, {"identifier": "Z87", "position": [5, 5], "step": 203, "ordinal_position": 204}, {"identifier": "A43", "position": [5, 4], "step": 204, "ordinal_position": 205}, {"identifier": "K66", "position": [5, 3], "step": 205, "ordinal_position": 206}, {"identifier": "Z91", "position": [5, 2], "step": 206, "ordinal_position": 207}, {"identifier": "C86", "position": [5, 1], "step": 207, "ordinal_position": 208}, {"identifier": "D40", "position": [4, 1], "step": 208, "ordinal_position": 209}, {"identifier": "M92", "position": [3, 1], "step": 209, "ordinal_position": 210}, {"identifier": "L27", "position": [2, 1], "step": 210, "ordinal_position": 211}, {"identifier": "O77", "position": [1, 1], "step": 211, "ordinal_position": 212}, {"identifier": "V14", "position": [1, 2], "step": 212, "ordinal_position": 213}, {"identifier": "N80", "position": [1, 3], "step": 213, "ordinal_position": 214}, {"identifier": "F03", "position": [1, 4], "step": 214, "ordinal_position": 215}, {"identifier": "G75", "position": [1, 5], "step": 215, "ordinal_position": 216}, {"identifier": "O66", "position": [2, 5], "step": 216, "ordinal_position": 217}, {"identifier": "B13", "position": [3, 5], "step": 217, "ordinal_position": 218}, {"identifier": "W58", "position": [4, 5], "step": 218, "ordinal_position": 219}, {"identifier": "Z87", "position": [5, 5], "step": 219, "ordinal_position": 220}, {"identifier": "A43", "position": [5, 4], "step": 220, "ordinal_position": 221}, {"identifier": "K66", "position": [5, 3], "step": 221, "ordinal_position": 222}, {"identifier": "Z91", "position": [5, 2], "step": 222, "ordinal_position": 223}, {"identifier": "C86", "position": [5, 1], "step": 223, "ordinal_position": 224}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 224, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_014.json"}} {"qa_id": "84e6d4ae5aa5497e91dcae76d07a3904", "image_id": "L3-MazeLoop-test_7x7_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O77, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 270th position in this traversal?", "start_object_id": "O77", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [270], "ordinal_strings": ["270th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "D40", "traversal_path": [{"identifier": "O77", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "V14", "position": [1, 2], "step": 1, "ordinal_position": 2}, {"identifier": "N80", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "F03", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "G75", "position": [1, 5], "step": 4, "ordinal_position": 5}, {"identifier": "O66", "position": [2, 5], "step": 5, "ordinal_position": 6}, {"identifier": "B13", "position": [3, 5], "step": 6, "ordinal_position": 7}, {"identifier": "W58", "position": [4, 5], "step": 7, "ordinal_position": 8}, {"identifier": "Z87", "position": [5, 5], "step": 8, "ordinal_position": 9}, {"identifier": "A43", "position": [5, 4], "step": 9, "ordinal_position": 10}, {"identifier": "K66", "position": [5, 3], "step": 10, "ordinal_position": 11}, {"identifier": "Z91", "position": [5, 2], "step": 11, "ordinal_position": 12}, {"identifier": "C86", "position": [5, 1], "step": 12, "ordinal_position": 13}, {"identifier": "D40", "position": [4, 1], "step": 13, "ordinal_position": 14}, {"identifier": "M92", "position": [3, 1], "step": 14, "ordinal_position": 15}, {"identifier": "L27", "position": [2, 1], "step": 15, "ordinal_position": 16}, {"identifier": "O77", "position": [1, 1], "step": 16, "ordinal_position": 17}, {"identifier": "V14", "position": [1, 2], "step": 17, "ordinal_position": 18}, {"identifier": "N80", "position": [1, 3], "step": 18, "ordinal_position": 19}, {"identifier": "F03", "position": [1, 4], "step": 19, "ordinal_position": 20}, {"identifier": "G75", "position": [1, 5], "step": 20, "ordinal_position": 21}, {"identifier": "O66", "position": [2, 5], "step": 21, "ordinal_position": 22}, {"identifier": "B13", "position": [3, 5], "step": 22, "ordinal_position": 23}, {"identifier": "W58", "position": [4, 5], "step": 23, "ordinal_position": 24}, {"identifier": "Z87", "position": [5, 5], "step": 24, "ordinal_position": 25}, {"identifier": "A43", "position": [5, 4], "step": 25, "ordinal_position": 26}, {"identifier": "K66", "position": [5, 3], "step": 26, "ordinal_position": 27}, {"identifier": "Z91", "position": [5, 2], "step": 27, "ordinal_position": 28}, {"identifier": "C86", "position": [5, 1], "step": 28, "ordinal_position": 29}, {"identifier": "D40", "position": [4, 1], "step": 29, "ordinal_position": 30}, {"identifier": "M92", "position": [3, 1], "step": 30, "ordinal_position": 31}, {"identifier": "L27", "position": [2, 1], "step": 31, "ordinal_position": 32}, {"identifier": "O77", "position": [1, 1], "step": 32, "ordinal_position": 33}, {"identifier": "V14", "position": [1, 2], "step": 33, "ordinal_position": 34}, {"identifier": "N80", "position": [1, 3], "step": 34, "ordinal_position": 35}, {"identifier": "F03", "position": [1, 4], "step": 35, "ordinal_position": 36}, {"identifier": "G75", "position": [1, 5], "step": 36, "ordinal_position": 37}, {"identifier": "O66", "position": [2, 5], "step": 37, "ordinal_position": 38}, {"identifier": "B13", "position": [3, 5], "step": 38, "ordinal_position": 39}, {"identifier": "W58", "position": [4, 5], "step": 39, "ordinal_position": 40}, {"identifier": "Z87", "position": [5, 5], "step": 40, "ordinal_position": 41}, {"identifier": "A43", "position": [5, 4], "step": 41, "ordinal_position": 42}, {"identifier": "K66", "position": [5, 3], "step": 42, "ordinal_position": 43}, {"identifier": "Z91", "position": [5, 2], "step": 43, "ordinal_position": 44}, {"identifier": "C86", "position": [5, 1], "step": 44, "ordinal_position": 45}, {"identifier": "D40", "position": [4, 1], "step": 45, "ordinal_position": 46}, {"identifier": "M92", "position": [3, 1], "step": 46, "ordinal_position": 47}, {"identifier": "L27", "position": [2, 1], "step": 47, "ordinal_position": 48}, {"identifier": "O77", "position": [1, 1], "step": 48, "ordinal_position": 49}, {"identifier": "V14", "position": [1, 2], "step": 49, "ordinal_position": 50}, {"identifier": "N80", "position": [1, 3], "step": 50, "ordinal_position": 51}, {"identifier": "F03", "position": [1, 4], "step": 51, "ordinal_position": 52}, {"identifier": "G75", "position": [1, 5], "step": 52, "ordinal_position": 53}, {"identifier": "O66", "position": [2, 5], "step": 53, "ordinal_position": 54}, {"identifier": "B13", "position": [3, 5], "step": 54, "ordinal_position": 55}, {"identifier": "W58", "position": [4, 5], "step": 55, "ordinal_position": 56}, {"identifier": "Z87", "position": [5, 5], "step": 56, "ordinal_position": 57}, {"identifier": "A43", "position": [5, 4], "step": 57, "ordinal_position": 58}, {"identifier": "K66", "position": [5, 3], "step": 58, "ordinal_position": 59}, {"identifier": "Z91", "position": [5, 2], "step": 59, "ordinal_position": 60}, {"identifier": "C86", "position": [5, 1], "step": 60, "ordinal_position": 61}, {"identifier": "D40", "position": [4, 1], "step": 61, "ordinal_position": 62}, {"identifier": "M92", "position": [3, 1], "step": 62, "ordinal_position": 63}, {"identifier": "L27", "position": [2, 1], "step": 63, "ordinal_position": 64}, {"identifier": "O77", "position": [1, 1], "step": 64, "ordinal_position": 65}, {"identifier": "V14", "position": [1, 2], "step": 65, "ordinal_position": 66}, {"identifier": "N80", "position": [1, 3], "step": 66, "ordinal_position": 67}, {"identifier": "F03", "position": [1, 4], "step": 67, "ordinal_position": 68}, {"identifier": "G75", "position": [1, 5], "step": 68, "ordinal_position": 69}, {"identifier": "O66", "position": [2, 5], "step": 69, "ordinal_position": 70}, {"identifier": "B13", "position": [3, 5], "step": 70, "ordinal_position": 71}, {"identifier": "W58", "position": [4, 5], "step": 71, "ordinal_position": 72}, {"identifier": "Z87", "position": [5, 5], "step": 72, "ordinal_position": 73}, {"identifier": "A43", "position": [5, 4], "step": 73, "ordinal_position": 74}, {"identifier": "K66", "position": [5, 3], "step": 74, "ordinal_position": 75}, {"identifier": "Z91", "position": [5, 2], "step": 75, "ordinal_position": 76}, {"identifier": "C86", "position": [5, 1], "step": 76, "ordinal_position": 77}, {"identifier": "D40", "position": [4, 1], "step": 77, "ordinal_position": 78}, {"identifier": "M92", "position": [3, 1], "step": 78, "ordinal_position": 79}, {"identifier": "L27", "position": [2, 1], "step": 79, "ordinal_position": 80}, {"identifier": "O77", "position": [1, 1], "step": 80, "ordinal_position": 81}, {"identifier": "V14", "position": [1, 2], "step": 81, "ordinal_position": 82}, {"identifier": "N80", "position": [1, 3], "step": 82, "ordinal_position": 83}, {"identifier": "F03", "position": [1, 4], "step": 83, "ordinal_position": 84}, {"identifier": "G75", "position": [1, 5], "step": 84, "ordinal_position": 85}, {"identifier": "O66", "position": [2, 5], "step": 85, "ordinal_position": 86}, {"identifier": "B13", "position": [3, 5], "step": 86, "ordinal_position": 87}, {"identifier": "W58", "position": [4, 5], "step": 87, "ordinal_position": 88}, {"identifier": "Z87", "position": [5, 5], "step": 88, "ordinal_position": 89}, {"identifier": "A43", "position": [5, 4], "step": 89, "ordinal_position": 90}, {"identifier": "K66", "position": [5, 3], "step": 90, "ordinal_position": 91}, {"identifier": "Z91", "position": [5, 2], "step": 91, "ordinal_position": 92}, {"identifier": "C86", "position": [5, 1], "step": 92, "ordinal_position": 93}, {"identifier": "D40", "position": [4, 1], "step": 93, "ordinal_position": 94}, {"identifier": "M92", "position": [3, 1], "step": 94, "ordinal_position": 95}, {"identifier": "L27", "position": [2, 1], "step": 95, "ordinal_position": 96}, {"identifier": "O77", "position": [1, 1], "step": 96, "ordinal_position": 97}, {"identifier": "V14", "position": [1, 2], "step": 97, "ordinal_position": 98}, {"identifier": "N80", "position": [1, 3], "step": 98, "ordinal_position": 99}, {"identifier": "F03", "position": [1, 4], "step": 99, "ordinal_position": 100}, {"identifier": "G75", "position": [1, 5], "step": 100, "ordinal_position": 101}, {"identifier": "O66", "position": [2, 5], "step": 101, "ordinal_position": 102}, {"identifier": "B13", "position": [3, 5], "step": 102, "ordinal_position": 103}, {"identifier": "W58", "position": [4, 5], "step": 103, "ordinal_position": 104}, {"identifier": "Z87", "position": [5, 5], "step": 104, "ordinal_position": 105}, {"identifier": "A43", "position": [5, 4], "step": 105, "ordinal_position": 106}, {"identifier": "K66", "position": [5, 3], "step": 106, "ordinal_position": 107}, {"identifier": "Z91", "position": [5, 2], "step": 107, "ordinal_position": 108}, {"identifier": "C86", "position": [5, 1], "step": 108, "ordinal_position": 109}, {"identifier": "D40", "position": [4, 1], "step": 109, "ordinal_position": 110}, {"identifier": "M92", "position": [3, 1], "step": 110, "ordinal_position": 111}, {"identifier": "L27", "position": [2, 1], "step": 111, "ordinal_position": 112}, {"identifier": "O77", "position": [1, 1], "step": 112, "ordinal_position": 113}, {"identifier": "V14", "position": [1, 2], "step": 113, "ordinal_position": 114}, {"identifier": "N80", "position": [1, 3], "step": 114, "ordinal_position": 115}, {"identifier": "F03", "position": [1, 4], "step": 115, "ordinal_position": 116}, {"identifier": "G75", "position": [1, 5], "step": 116, "ordinal_position": 117}, {"identifier": "O66", "position": [2, 5], "step": 117, "ordinal_position": 118}, {"identifier": "B13", "position": [3, 5], "step": 118, "ordinal_position": 119}, {"identifier": "W58", "position": [4, 5], "step": 119, "ordinal_position": 120}, {"identifier": "Z87", "position": [5, 5], "step": 120, "ordinal_position": 121}, {"identifier": "A43", "position": [5, 4], "step": 121, "ordinal_position": 122}, {"identifier": "K66", "position": [5, 3], "step": 122, "ordinal_position": 123}, {"identifier": "Z91", "position": [5, 2], "step": 123, "ordinal_position": 124}, {"identifier": "C86", "position": [5, 1], "step": 124, "ordinal_position": 125}, {"identifier": "D40", "position": [4, 1], "step": 125, "ordinal_position": 126}, {"identifier": "M92", "position": [3, 1], "step": 126, "ordinal_position": 127}, {"identifier": "L27", "position": [2, 1], "step": 127, "ordinal_position": 128}, {"identifier": "O77", "position": [1, 1], "step": 128, "ordinal_position": 129}, {"identifier": "V14", "position": [1, 2], "step": 129, "ordinal_position": 130}, {"identifier": "N80", "position": [1, 3], "step": 130, "ordinal_position": 131}, {"identifier": "F03", "position": [1, 4], "step": 131, "ordinal_position": 132}, {"identifier": "G75", "position": [1, 5], "step": 132, "ordinal_position": 133}, {"identifier": "O66", "position": [2, 5], "step": 133, "ordinal_position": 134}, {"identifier": "B13", "position": [3, 5], "step": 134, "ordinal_position": 135}, {"identifier": "W58", "position": [4, 5], "step": 135, "ordinal_position": 136}, {"identifier": "Z87", "position": [5, 5], "step": 136, "ordinal_position": 137}, {"identifier": "A43", "position": [5, 4], "step": 137, "ordinal_position": 138}, {"identifier": "K66", "position": [5, 3], "step": 138, "ordinal_position": 139}, {"identifier": "Z91", "position": [5, 2], "step": 139, "ordinal_position": 140}, {"identifier": "C86", "position": [5, 1], "step": 140, "ordinal_position": 141}, {"identifier": "D40", "position": [4, 1], "step": 141, "ordinal_position": 142}, {"identifier": "M92", "position": [3, 1], "step": 142, "ordinal_position": 143}, {"identifier": "L27", "position": [2, 1], "step": 143, "ordinal_position": 144}, {"identifier": "O77", "position": [1, 1], "step": 144, "ordinal_position": 145}, {"identifier": "V14", "position": [1, 2], "step": 145, "ordinal_position": 146}, {"identifier": "N80", "position": [1, 3], "step": 146, "ordinal_position": 147}, {"identifier": "F03", "position": [1, 4], "step": 147, "ordinal_position": 148}, {"identifier": "G75", "position": [1, 5], "step": 148, "ordinal_position": 149}, {"identifier": "O66", "position": [2, 5], "step": 149, "ordinal_position": 150}, {"identifier": "B13", "position": [3, 5], "step": 150, "ordinal_position": 151}, {"identifier": "W58", "position": [4, 5], "step": 151, "ordinal_position": 152}, {"identifier": "Z87", "position": [5, 5], "step": 152, "ordinal_position": 153}, {"identifier": "A43", "position": [5, 4], "step": 153, "ordinal_position": 154}, {"identifier": "K66", "position": [5, 3], "step": 154, "ordinal_position": 155}, {"identifier": "Z91", "position": [5, 2], "step": 155, "ordinal_position": 156}, {"identifier": "C86", "position": [5, 1], "step": 156, "ordinal_position": 157}, {"identifier": "D40", "position": [4, 1], "step": 157, "ordinal_position": 158}, {"identifier": "M92", "position": [3, 1], "step": 158, "ordinal_position": 159}, {"identifier": "L27", "position": [2, 1], "step": 159, "ordinal_position": 160}, {"identifier": "O77", "position": [1, 1], "step": 160, "ordinal_position": 161}, {"identifier": "V14", "position": [1, 2], "step": 161, "ordinal_position": 162}, {"identifier": "N80", "position": [1, 3], "step": 162, "ordinal_position": 163}, {"identifier": "F03", "position": [1, 4], "step": 163, "ordinal_position": 164}, {"identifier": "G75", "position": [1, 5], "step": 164, "ordinal_position": 165}, {"identifier": "O66", "position": [2, 5], "step": 165, "ordinal_position": 166}, {"identifier": "B13", "position": [3, 5], "step": 166, "ordinal_position": 167}, {"identifier": "W58", "position": [4, 5], "step": 167, "ordinal_position": 168}, {"identifier": "Z87", "position": [5, 5], "step": 168, "ordinal_position": 169}, {"identifier": "A43", "position": [5, 4], "step": 169, "ordinal_position": 170}, {"identifier": "K66", "position": [5, 3], "step": 170, "ordinal_position": 171}, {"identifier": "Z91", "position": [5, 2], "step": 171, "ordinal_position": 172}, {"identifier": "C86", "position": [5, 1], "step": 172, "ordinal_position": 173}, {"identifier": "D40", "position": [4, 1], "step": 173, "ordinal_position": 174}, {"identifier": "M92", "position": [3, 1], "step": 174, "ordinal_position": 175}, {"identifier": "L27", "position": [2, 1], "step": 175, "ordinal_position": 176}, {"identifier": "O77", "position": [1, 1], "step": 176, "ordinal_position": 177}, {"identifier": "V14", "position": [1, 2], "step": 177, "ordinal_position": 178}, {"identifier": "N80", "position": [1, 3], "step": 178, "ordinal_position": 179}, {"identifier": "F03", "position": [1, 4], "step": 179, "ordinal_position": 180}, {"identifier": "G75", "position": [1, 5], "step": 180, "ordinal_position": 181}, {"identifier": "O66", "position": [2, 5], "step": 181, "ordinal_position": 182}, {"identifier": "B13", "position": [3, 5], "step": 182, "ordinal_position": 183}, {"identifier": "W58", "position": [4, 5], "step": 183, "ordinal_position": 184}, {"identifier": "Z87", "position": [5, 5], "step": 184, "ordinal_position": 185}, {"identifier": "A43", "position": [5, 4], "step": 185, "ordinal_position": 186}, {"identifier": "K66", "position": [5, 3], "step": 186, "ordinal_position": 187}, {"identifier": "Z91", "position": [5, 2], "step": 187, "ordinal_position": 188}, {"identifier": "C86", "position": [5, 1], "step": 188, "ordinal_position": 189}, {"identifier": "D40", "position": [4, 1], "step": 189, "ordinal_position": 190}, {"identifier": "M92", "position": [3, 1], "step": 190, "ordinal_position": 191}, {"identifier": "L27", "position": [2, 1], "step": 191, "ordinal_position": 192}, {"identifier": "O77", "position": [1, 1], "step": 192, "ordinal_position": 193}, {"identifier": "V14", "position": [1, 2], "step": 193, "ordinal_position": 194}, {"identifier": "N80", "position": [1, 3], "step": 194, "ordinal_position": 195}, {"identifier": "F03", "position": [1, 4], "step": 195, "ordinal_position": 196}, {"identifier": "G75", "position": [1, 5], "step": 196, "ordinal_position": 197}, {"identifier": "O66", "position": [2, 5], "step": 197, "ordinal_position": 198}, {"identifier": "B13", "position": [3, 5], "step": 198, "ordinal_position": 199}, {"identifier": "W58", "position": [4, 5], "step": 199, "ordinal_position": 200}, {"identifier": "Z87", "position": [5, 5], "step": 200, "ordinal_position": 201}, {"identifier": "A43", "position": [5, 4], "step": 201, "ordinal_position": 202}, {"identifier": "K66", "position": [5, 3], "step": 202, "ordinal_position": 203}, {"identifier": "Z91", "position": [5, 2], "step": 203, "ordinal_position": 204}, {"identifier": "C86", "position": [5, 1], "step": 204, "ordinal_position": 205}, {"identifier": "D40", "position": [4, 1], "step": 205, "ordinal_position": 206}, {"identifier": "M92", "position": [3, 1], "step": 206, "ordinal_position": 207}, {"identifier": "L27", "position": [2, 1], "step": 207, "ordinal_position": 208}, {"identifier": "O77", "position": [1, 1], "step": 208, "ordinal_position": 209}, {"identifier": "V14", "position": [1, 2], "step": 209, "ordinal_position": 210}, {"identifier": "N80", "position": [1, 3], "step": 210, "ordinal_position": 211}, {"identifier": "F03", "position": [1, 4], "step": 211, "ordinal_position": 212}, {"identifier": "G75", "position": [1, 5], "step": 212, "ordinal_position": 213}, {"identifier": "O66", "position": [2, 5], "step": 213, "ordinal_position": 214}, {"identifier": "B13", "position": [3, 5], "step": 214, "ordinal_position": 215}, {"identifier": "W58", "position": [4, 5], "step": 215, "ordinal_position": 216}, {"identifier": "Z87", "position": [5, 5], "step": 216, "ordinal_position": 217}, {"identifier": "A43", "position": [5, 4], "step": 217, "ordinal_position": 218}, {"identifier": "K66", "position": [5, 3], "step": 218, "ordinal_position": 219}, {"identifier": "Z91", "position": [5, 2], "step": 219, "ordinal_position": 220}, {"identifier": "C86", "position": [5, 1], "step": 220, "ordinal_position": 221}, {"identifier": "D40", "position": [4, 1], "step": 221, "ordinal_position": 222}, {"identifier": "M92", "position": [3, 1], "step": 222, "ordinal_position": 223}, {"identifier": "L27", "position": [2, 1], "step": 223, "ordinal_position": 224}, {"identifier": "O77", "position": [1, 1], "step": 224, "ordinal_position": 225}, {"identifier": "V14", "position": [1, 2], "step": 225, "ordinal_position": 226}, {"identifier": "N80", "position": [1, 3], "step": 226, "ordinal_position": 227}, {"identifier": "F03", "position": [1, 4], "step": 227, "ordinal_position": 228}, {"identifier": "G75", "position": [1, 5], "step": 228, "ordinal_position": 229}, {"identifier": "O66", "position": [2, 5], "step": 229, "ordinal_position": 230}, {"identifier": "B13", "position": [3, 5], "step": 230, "ordinal_position": 231}, {"identifier": "W58", "position": [4, 5], "step": 231, "ordinal_position": 232}, {"identifier": "Z87", "position": [5, 5], "step": 232, "ordinal_position": 233}, {"identifier": "A43", "position": [5, 4], "step": 233, "ordinal_position": 234}, {"identifier": "K66", "position": [5, 3], "step": 234, "ordinal_position": 235}, {"identifier": "Z91", "position": [5, 2], "step": 235, "ordinal_position": 236}, {"identifier": "C86", "position": [5, 1], "step": 236, "ordinal_position": 237}, {"identifier": "D40", "position": [4, 1], "step": 237, "ordinal_position": 238}, {"identifier": "M92", "position": [3, 1], "step": 238, "ordinal_position": 239}, {"identifier": "L27", "position": [2, 1], "step": 239, "ordinal_position": 240}, {"identifier": "O77", "position": [1, 1], "step": 240, "ordinal_position": 241}, {"identifier": "V14", "position": [1, 2], "step": 241, "ordinal_position": 242}, {"identifier": "N80", "position": [1, 3], "step": 242, "ordinal_position": 243}, {"identifier": "F03", "position": [1, 4], "step": 243, "ordinal_position": 244}, {"identifier": "G75", "position": [1, 5], "step": 244, "ordinal_position": 245}, {"identifier": "O66", "position": [2, 5], "step": 245, "ordinal_position": 246}, {"identifier": "B13", "position": [3, 5], "step": 246, "ordinal_position": 247}, {"identifier": "W58", "position": [4, 5], "step": 247, "ordinal_position": 248}, {"identifier": "Z87", "position": [5, 5], "step": 248, "ordinal_position": 249}, {"identifier": "A43", "position": [5, 4], "step": 249, "ordinal_position": 250}, {"identifier": "K66", "position": [5, 3], "step": 250, "ordinal_position": 251}, {"identifier": "Z91", "position": [5, 2], "step": 251, "ordinal_position": 252}, {"identifier": "C86", "position": [5, 1], "step": 252, "ordinal_position": 253}, {"identifier": "D40", "position": [4, 1], "step": 253, "ordinal_position": 254}, {"identifier": "M92", "position": [3, 1], "step": 254, "ordinal_position": 255}, {"identifier": "L27", "position": [2, 1], "step": 255, "ordinal_position": 256}, {"identifier": "O77", "position": [1, 1], "step": 256, "ordinal_position": 257}, {"identifier": "V14", "position": [1, 2], "step": 257, "ordinal_position": 258}, {"identifier": "N80", "position": [1, 3], "step": 258, "ordinal_position": 259}, {"identifier": "F03", "position": [1, 4], "step": 259, "ordinal_position": 260}, {"identifier": "G75", "position": [1, 5], "step": 260, "ordinal_position": 261}, {"identifier": "O66", "position": [2, 5], "step": 261, "ordinal_position": 262}, {"identifier": "B13", "position": [3, 5], "step": 262, "ordinal_position": 263}, {"identifier": "W58", "position": [4, 5], "step": 263, "ordinal_position": 264}, {"identifier": "Z87", "position": [5, 5], "step": 264, "ordinal_position": 265}, {"identifier": "A43", "position": [5, 4], "step": 265, "ordinal_position": 266}, {"identifier": "K66", "position": [5, 3], "step": 266, "ordinal_position": 267}, {"identifier": "Z91", "position": [5, 2], "step": 267, "ordinal_position": 268}, {"identifier": "C86", "position": [5, 1], "step": 268, "ordinal_position": 269}, {"identifier": "D40", "position": [4, 1], "step": 269, "ordinal_position": 270}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 270, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_014.json"}} {"qa_id": "b9edf182a5134e6eb146099af987ddbf", "image_id": "L3-MazeLoop-test_7x7_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z87, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 217th position in this traversal?", "start_object_id": "Z87", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [217], "ordinal_strings": ["217th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "O77", "traversal_path": [{"identifier": "Z87", "position": [5, 5], "step": 0, "ordinal_position": 1}, {"identifier": "A43", "position": [5, 4], "step": 1, "ordinal_position": 2}, {"identifier": "K66", "position": [5, 3], "step": 2, "ordinal_position": 3}, {"identifier": "Z91", "position": [5, 2], "step": 3, "ordinal_position": 4}, {"identifier": "C86", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "D40", "position": [4, 1], "step": 5, "ordinal_position": 6}, {"identifier": "M92", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "L27", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "O77", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "V14", "position": [1, 2], "step": 9, "ordinal_position": 10}, {"identifier": "N80", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "F03", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "G75", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "O66", "position": [2, 5], "step": 13, "ordinal_position": 14}, {"identifier": "B13", "position": [3, 5], "step": 14, "ordinal_position": 15}, {"identifier": "W58", "position": [4, 5], "step": 15, "ordinal_position": 16}, {"identifier": "Z87", "position": [5, 5], "step": 16, "ordinal_position": 17}, {"identifier": "A43", "position": [5, 4], "step": 17, "ordinal_position": 18}, {"identifier": "K66", "position": [5, 3], "step": 18, "ordinal_position": 19}, {"identifier": "Z91", "position": [5, 2], "step": 19, "ordinal_position": 20}, {"identifier": "C86", "position": [5, 1], "step": 20, "ordinal_position": 21}, {"identifier": "D40", "position": [4, 1], "step": 21, "ordinal_position": 22}, {"identifier": "M92", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "L27", "position": [2, 1], "step": 23, "ordinal_position": 24}, {"identifier": "O77", "position": [1, 1], "step": 24, "ordinal_position": 25}, {"identifier": "V14", "position": [1, 2], "step": 25, "ordinal_position": 26}, {"identifier": "N80", "position": [1, 3], "step": 26, "ordinal_position": 27}, {"identifier": "F03", "position": [1, 4], "step": 27, "ordinal_position": 28}, {"identifier": "G75", "position": [1, 5], "step": 28, "ordinal_position": 29}, {"identifier": "O66", "position": [2, 5], "step": 29, "ordinal_position": 30}, {"identifier": "B13", "position": [3, 5], "step": 30, "ordinal_position": 31}, {"identifier": "W58", "position": [4, 5], "step": 31, "ordinal_position": 32}, {"identifier": "Z87", "position": [5, 5], "step": 32, "ordinal_position": 33}, {"identifier": "A43", "position": [5, 4], "step": 33, "ordinal_position": 34}, {"identifier": "K66", "position": [5, 3], "step": 34, "ordinal_position": 35}, {"identifier": "Z91", "position": [5, 2], "step": 35, "ordinal_position": 36}, {"identifier": "C86", "position": [5, 1], "step": 36, "ordinal_position": 37}, {"identifier": "D40", "position": [4, 1], "step": 37, "ordinal_position": 38}, {"identifier": "M92", "position": [3, 1], "step": 38, "ordinal_position": 39}, {"identifier": "L27", "position": [2, 1], "step": 39, "ordinal_position": 40}, {"identifier": "O77", "position": [1, 1], "step": 40, "ordinal_position": 41}, {"identifier": "V14", "position": [1, 2], "step": 41, "ordinal_position": 42}, {"identifier": "N80", "position": [1, 3], "step": 42, "ordinal_position": 43}, {"identifier": "F03", "position": [1, 4], "step": 43, "ordinal_position": 44}, {"identifier": "G75", "position": [1, 5], "step": 44, "ordinal_position": 45}, {"identifier": "O66", "position": [2, 5], "step": 45, "ordinal_position": 46}, {"identifier": "B13", "position": [3, 5], "step": 46, "ordinal_position": 47}, {"identifier": "W58", "position": [4, 5], "step": 47, "ordinal_position": 48}, {"identifier": "Z87", "position": [5, 5], "step": 48, "ordinal_position": 49}, {"identifier": "A43", "position": [5, 4], "step": 49, "ordinal_position": 50}, {"identifier": "K66", "position": [5, 3], "step": 50, "ordinal_position": 51}, {"identifier": "Z91", "position": [5, 2], "step": 51, "ordinal_position": 52}, {"identifier": "C86", "position": [5, 1], "step": 52, "ordinal_position": 53}, {"identifier": "D40", "position": [4, 1], "step": 53, "ordinal_position": 54}, {"identifier": "M92", "position": [3, 1], "step": 54, "ordinal_position": 55}, {"identifier": "L27", "position": [2, 1], "step": 55, "ordinal_position": 56}, {"identifier": "O77", "position": [1, 1], "step": 56, "ordinal_position": 57}, {"identifier": "V14", "position": [1, 2], "step": 57, "ordinal_position": 58}, {"identifier": "N80", "position": [1, 3], "step": 58, "ordinal_position": 59}, {"identifier": "F03", "position": [1, 4], "step": 59, "ordinal_position": 60}, {"identifier": "G75", "position": [1, 5], "step": 60, "ordinal_position": 61}, {"identifier": "O66", "position": [2, 5], "step": 61, "ordinal_position": 62}, {"identifier": "B13", "position": [3, 5], "step": 62, "ordinal_position": 63}, {"identifier": "W58", "position": [4, 5], "step": 63, "ordinal_position": 64}, {"identifier": "Z87", "position": [5, 5], "step": 64, "ordinal_position": 65}, {"identifier": "A43", "position": [5, 4], "step": 65, "ordinal_position": 66}, {"identifier": "K66", "position": [5, 3], "step": 66, "ordinal_position": 67}, {"identifier": "Z91", "position": [5, 2], "step": 67, "ordinal_position": 68}, {"identifier": "C86", "position": [5, 1], "step": 68, "ordinal_position": 69}, {"identifier": "D40", "position": [4, 1], "step": 69, "ordinal_position": 70}, {"identifier": "M92", "position": [3, 1], "step": 70, "ordinal_position": 71}, {"identifier": "L27", "position": [2, 1], "step": 71, "ordinal_position": 72}, {"identifier": "O77", "position": [1, 1], "step": 72, "ordinal_position": 73}, {"identifier": "V14", "position": [1, 2], "step": 73, "ordinal_position": 74}, {"identifier": "N80", "position": [1, 3], "step": 74, "ordinal_position": 75}, {"identifier": "F03", "position": [1, 4], "step": 75, "ordinal_position": 76}, {"identifier": "G75", "position": [1, 5], "step": 76, "ordinal_position": 77}, {"identifier": "O66", "position": [2, 5], "step": 77, "ordinal_position": 78}, {"identifier": "B13", "position": [3, 5], "step": 78, "ordinal_position": 79}, {"identifier": "W58", "position": [4, 5], "step": 79, "ordinal_position": 80}, {"identifier": "Z87", "position": [5, 5], "step": 80, "ordinal_position": 81}, {"identifier": "A43", "position": [5, 4], "step": 81, "ordinal_position": 82}, {"identifier": "K66", "position": [5, 3], "step": 82, "ordinal_position": 83}, {"identifier": "Z91", "position": [5, 2], "step": 83, "ordinal_position": 84}, {"identifier": "C86", "position": [5, 1], "step": 84, "ordinal_position": 85}, {"identifier": "D40", "position": [4, 1], "step": 85, "ordinal_position": 86}, {"identifier": "M92", "position": [3, 1], "step": 86, "ordinal_position": 87}, {"identifier": "L27", "position": [2, 1], "step": 87, "ordinal_position": 88}, {"identifier": "O77", "position": [1, 1], "step": 88, "ordinal_position": 89}, {"identifier": "V14", "position": [1, 2], "step": 89, "ordinal_position": 90}, {"identifier": "N80", "position": [1, 3], "step": 90, "ordinal_position": 91}, {"identifier": "F03", "position": [1, 4], "step": 91, "ordinal_position": 92}, {"identifier": "G75", "position": [1, 5], "step": 92, "ordinal_position": 93}, {"identifier": "O66", "position": [2, 5], "step": 93, "ordinal_position": 94}, {"identifier": "B13", "position": [3, 5], "step": 94, "ordinal_position": 95}, {"identifier": "W58", "position": [4, 5], "step": 95, "ordinal_position": 96}, {"identifier": "Z87", "position": [5, 5], "step": 96, "ordinal_position": 97}, {"identifier": "A43", "position": [5, 4], "step": 97, "ordinal_position": 98}, {"identifier": "K66", "position": [5, 3], "step": 98, "ordinal_position": 99}, {"identifier": "Z91", "position": [5, 2], "step": 99, "ordinal_position": 100}, {"identifier": "C86", "position": [5, 1], "step": 100, "ordinal_position": 101}, {"identifier": "D40", "position": [4, 1], "step": 101, "ordinal_position": 102}, {"identifier": "M92", "position": [3, 1], "step": 102, "ordinal_position": 103}, {"identifier": "L27", "position": [2, 1], "step": 103, "ordinal_position": 104}, {"identifier": "O77", "position": [1, 1], "step": 104, "ordinal_position": 105}, {"identifier": "V14", "position": [1, 2], "step": 105, "ordinal_position": 106}, {"identifier": "N80", "position": [1, 3], "step": 106, "ordinal_position": 107}, {"identifier": "F03", "position": [1, 4], "step": 107, "ordinal_position": 108}, {"identifier": "G75", "position": [1, 5], "step": 108, "ordinal_position": 109}, {"identifier": "O66", "position": [2, 5], "step": 109, "ordinal_position": 110}, {"identifier": "B13", "position": [3, 5], "step": 110, "ordinal_position": 111}, {"identifier": "W58", "position": [4, 5], "step": 111, "ordinal_position": 112}, {"identifier": "Z87", "position": [5, 5], "step": 112, "ordinal_position": 113}, {"identifier": "A43", "position": [5, 4], "step": 113, "ordinal_position": 114}, {"identifier": "K66", "position": [5, 3], "step": 114, "ordinal_position": 115}, {"identifier": "Z91", "position": [5, 2], "step": 115, "ordinal_position": 116}, {"identifier": "C86", "position": [5, 1], "step": 116, "ordinal_position": 117}, {"identifier": "D40", "position": [4, 1], "step": 117, "ordinal_position": 118}, {"identifier": "M92", "position": [3, 1], "step": 118, "ordinal_position": 119}, {"identifier": "L27", "position": [2, 1], "step": 119, "ordinal_position": 120}, {"identifier": "O77", "position": [1, 1], "step": 120, "ordinal_position": 121}, {"identifier": "V14", "position": [1, 2], "step": 121, "ordinal_position": 122}, {"identifier": "N80", "position": [1, 3], "step": 122, "ordinal_position": 123}, {"identifier": "F03", "position": [1, 4], "step": 123, "ordinal_position": 124}, {"identifier": "G75", "position": [1, 5], "step": 124, "ordinal_position": 125}, {"identifier": "O66", "position": [2, 5], "step": 125, "ordinal_position": 126}, {"identifier": "B13", "position": [3, 5], "step": 126, "ordinal_position": 127}, {"identifier": "W58", "position": [4, 5], "step": 127, "ordinal_position": 128}, {"identifier": "Z87", "position": [5, 5], "step": 128, "ordinal_position": 129}, {"identifier": "A43", "position": [5, 4], "step": 129, "ordinal_position": 130}, {"identifier": "K66", "position": [5, 3], "step": 130, "ordinal_position": 131}, {"identifier": "Z91", "position": [5, 2], "step": 131, "ordinal_position": 132}, {"identifier": "C86", "position": [5, 1], "step": 132, "ordinal_position": 133}, {"identifier": "D40", "position": [4, 1], "step": 133, "ordinal_position": 134}, {"identifier": "M92", "position": [3, 1], "step": 134, "ordinal_position": 135}, {"identifier": "L27", "position": [2, 1], "step": 135, "ordinal_position": 136}, {"identifier": "O77", "position": [1, 1], "step": 136, "ordinal_position": 137}, {"identifier": "V14", "position": [1, 2], "step": 137, "ordinal_position": 138}, {"identifier": "N80", "position": [1, 3], "step": 138, "ordinal_position": 139}, {"identifier": "F03", "position": [1, 4], "step": 139, "ordinal_position": 140}, {"identifier": "G75", "position": [1, 5], "step": 140, "ordinal_position": 141}, {"identifier": "O66", "position": [2, 5], "step": 141, "ordinal_position": 142}, {"identifier": "B13", "position": [3, 5], "step": 142, "ordinal_position": 143}, {"identifier": "W58", "position": [4, 5], "step": 143, "ordinal_position": 144}, {"identifier": "Z87", "position": [5, 5], "step": 144, "ordinal_position": 145}, {"identifier": "A43", "position": [5, 4], "step": 145, "ordinal_position": 146}, {"identifier": "K66", "position": [5, 3], "step": 146, "ordinal_position": 147}, {"identifier": "Z91", "position": [5, 2], "step": 147, "ordinal_position": 148}, {"identifier": "C86", "position": [5, 1], "step": 148, "ordinal_position": 149}, {"identifier": "D40", "position": [4, 1], "step": 149, "ordinal_position": 150}, {"identifier": "M92", "position": [3, 1], "step": 150, "ordinal_position": 151}, {"identifier": "L27", "position": [2, 1], "step": 151, "ordinal_position": 152}, {"identifier": "O77", "position": [1, 1], "step": 152, "ordinal_position": 153}, {"identifier": "V14", "position": [1, 2], "step": 153, "ordinal_position": 154}, {"identifier": "N80", "position": [1, 3], "step": 154, "ordinal_position": 155}, {"identifier": "F03", "position": [1, 4], "step": 155, "ordinal_position": 156}, {"identifier": "G75", "position": [1, 5], "step": 156, "ordinal_position": 157}, {"identifier": "O66", "position": [2, 5], "step": 157, "ordinal_position": 158}, {"identifier": "B13", "position": [3, 5], "step": 158, "ordinal_position": 159}, {"identifier": "W58", "position": [4, 5], "step": 159, "ordinal_position": 160}, {"identifier": "Z87", "position": [5, 5], "step": 160, "ordinal_position": 161}, {"identifier": "A43", "position": [5, 4], "step": 161, "ordinal_position": 162}, {"identifier": "K66", "position": [5, 3], "step": 162, "ordinal_position": 163}, {"identifier": "Z91", "position": [5, 2], "step": 163, "ordinal_position": 164}, {"identifier": "C86", "position": [5, 1], "step": 164, "ordinal_position": 165}, {"identifier": "D40", "position": [4, 1], "step": 165, "ordinal_position": 166}, {"identifier": "M92", "position": [3, 1], "step": 166, "ordinal_position": 167}, {"identifier": "L27", "position": [2, 1], "step": 167, "ordinal_position": 168}, {"identifier": "O77", "position": [1, 1], "step": 168, "ordinal_position": 169}, {"identifier": "V14", "position": [1, 2], "step": 169, "ordinal_position": 170}, {"identifier": "N80", "position": [1, 3], "step": 170, "ordinal_position": 171}, {"identifier": "F03", "position": [1, 4], "step": 171, "ordinal_position": 172}, {"identifier": "G75", "position": [1, 5], "step": 172, "ordinal_position": 173}, {"identifier": "O66", "position": [2, 5], "step": 173, "ordinal_position": 174}, {"identifier": "B13", "position": [3, 5], "step": 174, "ordinal_position": 175}, {"identifier": "W58", "position": [4, 5], "step": 175, "ordinal_position": 176}, {"identifier": "Z87", "position": [5, 5], "step": 176, "ordinal_position": 177}, {"identifier": "A43", "position": [5, 4], "step": 177, "ordinal_position": 178}, {"identifier": "K66", "position": [5, 3], "step": 178, "ordinal_position": 179}, {"identifier": "Z91", "position": [5, 2], "step": 179, "ordinal_position": 180}, {"identifier": "C86", "position": [5, 1], "step": 180, "ordinal_position": 181}, {"identifier": "D40", "position": [4, 1], "step": 181, "ordinal_position": 182}, {"identifier": "M92", "position": [3, 1], "step": 182, "ordinal_position": 183}, {"identifier": "L27", "position": [2, 1], "step": 183, "ordinal_position": 184}, {"identifier": "O77", "position": [1, 1], "step": 184, "ordinal_position": 185}, {"identifier": "V14", "position": [1, 2], "step": 185, "ordinal_position": 186}, {"identifier": "N80", "position": [1, 3], "step": 186, "ordinal_position": 187}, {"identifier": "F03", "position": [1, 4], "step": 187, "ordinal_position": 188}, {"identifier": "G75", "position": [1, 5], "step": 188, "ordinal_position": 189}, {"identifier": "O66", "position": [2, 5], "step": 189, "ordinal_position": 190}, {"identifier": "B13", "position": [3, 5], "step": 190, "ordinal_position": 191}, {"identifier": "W58", "position": [4, 5], "step": 191, "ordinal_position": 192}, {"identifier": "Z87", "position": [5, 5], "step": 192, "ordinal_position": 193}, {"identifier": "A43", "position": [5, 4], "step": 193, "ordinal_position": 194}, {"identifier": "K66", "position": [5, 3], "step": 194, "ordinal_position": 195}, {"identifier": "Z91", "position": [5, 2], "step": 195, "ordinal_position": 196}, {"identifier": "C86", "position": [5, 1], "step": 196, "ordinal_position": 197}, {"identifier": "D40", "position": [4, 1], "step": 197, "ordinal_position": 198}, {"identifier": "M92", "position": [3, 1], "step": 198, "ordinal_position": 199}, {"identifier": "L27", "position": [2, 1], "step": 199, "ordinal_position": 200}, {"identifier": "O77", "position": [1, 1], "step": 200, "ordinal_position": 201}, {"identifier": "V14", "position": [1, 2], "step": 201, "ordinal_position": 202}, {"identifier": "N80", "position": [1, 3], "step": 202, "ordinal_position": 203}, {"identifier": "F03", "position": [1, 4], "step": 203, "ordinal_position": 204}, {"identifier": "G75", "position": [1, 5], "step": 204, "ordinal_position": 205}, {"identifier": "O66", "position": [2, 5], "step": 205, "ordinal_position": 206}, {"identifier": "B13", "position": [3, 5], "step": 206, "ordinal_position": 207}, {"identifier": "W58", "position": [4, 5], "step": 207, "ordinal_position": 208}, {"identifier": "Z87", "position": [5, 5], "step": 208, "ordinal_position": 209}, {"identifier": "A43", "position": [5, 4], "step": 209, "ordinal_position": 210}, {"identifier": "K66", "position": [5, 3], "step": 210, "ordinal_position": 211}, {"identifier": "Z91", "position": [5, 2], "step": 211, "ordinal_position": 212}, {"identifier": "C86", "position": [5, 1], "step": 212, "ordinal_position": 213}, {"identifier": "D40", "position": [4, 1], "step": 213, "ordinal_position": 214}, {"identifier": "M92", "position": [3, 1], "step": 214, "ordinal_position": 215}, {"identifier": "L27", "position": [2, 1], "step": 215, "ordinal_position": 216}, {"identifier": "O77", "position": [1, 1], "step": 216, "ordinal_position": 217}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 217, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_014.json"}} {"qa_id": "3d4789ee724c4ba29b4cb4ce50bdb729", "image_id": "L3-MazeLoop-test_7x7_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R22, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "R22", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "J36", "traversal_path": [{"identifier": "R22", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "J36", "position": [2, 5], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 2, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_015.json"}} {"qa_id": "411e93d8483a4e2680ab004478073aae", "image_id": "L3-MazeLoop-test_7x7_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M83, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "M83", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "U94", "traversal_path": [{"identifier": "M83", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "I45", "position": [2, 3], "step": 1, "ordinal_position": 2}, {"identifier": "O54", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "U94", "position": [1, 2], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_015.json"}} {"qa_id": "e4f462303bfa410785a0d4b9400f8dcf", "image_id": "L3-MazeLoop-test_7x7_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J15, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "J15", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "O74", "traversal_path": [{"identifier": "J15", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "O74", "position": [5, 2], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 2, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_015.json"}} {"qa_id": "cd2481315fc24877a80f23be53780d50", "image_id": "L3-MazeLoop-test_7x7_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O54, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "O54", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "J36", "traversal_path": [{"identifier": "O54", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "X64", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "R22", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "J36", "position": [2, 5], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_015.json"}} {"qa_id": "38d7ab4f7b8e44b5a883a51698e3e78a", "image_id": "L3-MazeLoop-test_7x7_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O74, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "O74", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "U94", "traversal_path": [{"identifier": "O74", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "O10", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "R19", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "U05", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "D23", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "X12", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "U94", "position": [1, 2], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_015.json"}} {"qa_id": "9a3b5e2a25674cfe92113d32eb95d6dd", "image_id": "L3-MazeLoop-test_7x7_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S88, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 19th position in this traversal?", "start_object_id": "S88", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [19], "ordinal_strings": ["19th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "R22", "traversal_path": [{"identifier": "S88", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "J36", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "R22", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "X64", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "O54", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "U94", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "X12", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "D23", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "U05", "position": [3, 1], "step": 8, "ordinal_position": 9}, {"identifier": "R19", "position": [4, 1], "step": 9, "ordinal_position": 10}, {"identifier": "O10", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "O74", "position": [5, 2], "step": 11, "ordinal_position": 12}, {"identifier": "J15", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "M51", "position": [5, 4], "step": 13, "ordinal_position": 14}, {"identifier": "K78", "position": [5, 5], "step": 14, "ordinal_position": 15}, {"identifier": "S65", "position": [4, 5], "step": 15, "ordinal_position": 16}, {"identifier": "S88", "position": [3, 5], "step": 16, "ordinal_position": 17}, {"identifier": "J36", "position": [2, 5], "step": 17, "ordinal_position": 18}, {"identifier": "R22", "position": [1, 5], "step": 18, "ordinal_position": 19}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 19, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_015.json"}} {"qa_id": "78c5ae1100bd49c383ff08627031c0c8", "image_id": "L3-MazeLoop-test_7x7_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M51, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 11th position in this traversal?", "start_object_id": "M51", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [11], "ordinal_strings": ["11th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "X64", "traversal_path": [{"identifier": "M51", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "J15", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "O74", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "O10", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "R19", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "U05", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "D23", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "X12", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "U94", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "O54", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "X64", "position": [1, 4], "step": 10, "ordinal_position": 11}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 11, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_015.json"}} {"qa_id": "f04596e4692f4a68b7199425ec744211", "image_id": "L3-MazeLoop-test_7x7_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X12, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 70th position in this traversal?", "start_object_id": "X12", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [70], "ordinal_strings": ["70th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "J36", "traversal_path": [{"identifier": "X12", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "U94", "position": [1, 2], "step": 1, "ordinal_position": 2}, {"identifier": "O54", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "X64", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "R22", "position": [1, 5], "step": 4, "ordinal_position": 5}, {"identifier": "J36", "position": [2, 5], "step": 5, "ordinal_position": 6}, {"identifier": "S88", "position": [3, 5], "step": 6, "ordinal_position": 7}, {"identifier": "S65", "position": [4, 5], "step": 7, "ordinal_position": 8}, {"identifier": "K78", "position": [5, 5], "step": 8, "ordinal_position": 9}, {"identifier": "M51", "position": [5, 4], "step": 9, "ordinal_position": 10}, {"identifier": "J15", "position": [5, 3], "step": 10, "ordinal_position": 11}, {"identifier": "O74", "position": [5, 2], "step": 11, "ordinal_position": 12}, {"identifier": "O10", "position": [5, 1], "step": 12, "ordinal_position": 13}, {"identifier": "R19", "position": [4, 1], "step": 13, "ordinal_position": 14}, {"identifier": "U05", "position": [3, 1], "step": 14, "ordinal_position": 15}, {"identifier": "D23", "position": [2, 1], "step": 15, "ordinal_position": 16}, {"identifier": "X12", "position": [1, 1], "step": 16, "ordinal_position": 17}, {"identifier": "U94", "position": [1, 2], "step": 17, "ordinal_position": 18}, {"identifier": "O54", "position": [1, 3], "step": 18, "ordinal_position": 19}, {"identifier": "X64", "position": [1, 4], "step": 19, "ordinal_position": 20}, {"identifier": "R22", "position": [1, 5], "step": 20, "ordinal_position": 21}, {"identifier": "J36", "position": [2, 5], "step": 21, "ordinal_position": 22}, {"identifier": "S88", "position": [3, 5], "step": 22, "ordinal_position": 23}, {"identifier": "S65", "position": [4, 5], "step": 23, "ordinal_position": 24}, {"identifier": "K78", "position": [5, 5], "step": 24, "ordinal_position": 25}, {"identifier": "M51", "position": [5, 4], "step": 25, "ordinal_position": 26}, {"identifier": "J15", "position": [5, 3], "step": 26, "ordinal_position": 27}, {"identifier": "O74", "position": [5, 2], "step": 27, "ordinal_position": 28}, {"identifier": "O10", "position": [5, 1], "step": 28, "ordinal_position": 29}, {"identifier": "R19", "position": [4, 1], "step": 29, "ordinal_position": 30}, {"identifier": "U05", "position": [3, 1], "step": 30, "ordinal_position": 31}, {"identifier": "D23", "position": [2, 1], "step": 31, "ordinal_position": 32}, {"identifier": "X12", "position": [1, 1], "step": 32, "ordinal_position": 33}, {"identifier": "U94", "position": [1, 2], "step": 33, "ordinal_position": 34}, {"identifier": "O54", "position": [1, 3], "step": 34, "ordinal_position": 35}, {"identifier": "X64", "position": [1, 4], "step": 35, "ordinal_position": 36}, {"identifier": "R22", "position": [1, 5], "step": 36, "ordinal_position": 37}, {"identifier": "J36", "position": [2, 5], "step": 37, "ordinal_position": 38}, {"identifier": "S88", "position": [3, 5], "step": 38, "ordinal_position": 39}, {"identifier": "S65", "position": [4, 5], "step": 39, "ordinal_position": 40}, {"identifier": "K78", "position": [5, 5], "step": 40, "ordinal_position": 41}, {"identifier": "M51", "position": [5, 4], "step": 41, "ordinal_position": 42}, {"identifier": "J15", "position": [5, 3], "step": 42, "ordinal_position": 43}, {"identifier": "O74", "position": [5, 2], "step": 43, "ordinal_position": 44}, {"identifier": "O10", "position": [5, 1], "step": 44, "ordinal_position": 45}, {"identifier": "R19", "position": [4, 1], "step": 45, "ordinal_position": 46}, {"identifier": "U05", "position": [3, 1], "step": 46, "ordinal_position": 47}, {"identifier": "D23", "position": [2, 1], "step": 47, "ordinal_position": 48}, {"identifier": "X12", "position": [1, 1], "step": 48, "ordinal_position": 49}, {"identifier": "U94", "position": [1, 2], "step": 49, "ordinal_position": 50}, {"identifier": "O54", "position": [1, 3], "step": 50, "ordinal_position": 51}, {"identifier": "X64", "position": [1, 4], "step": 51, "ordinal_position": 52}, {"identifier": "R22", "position": [1, 5], "step": 52, "ordinal_position": 53}, {"identifier": "J36", "position": [2, 5], "step": 53, "ordinal_position": 54}, {"identifier": "S88", "position": [3, 5], "step": 54, "ordinal_position": 55}, {"identifier": "S65", "position": [4, 5], "step": 55, "ordinal_position": 56}, {"identifier": "K78", "position": [5, 5], "step": 56, "ordinal_position": 57}, {"identifier": "M51", "position": [5, 4], "step": 57, "ordinal_position": 58}, {"identifier": "J15", "position": [5, 3], "step": 58, "ordinal_position": 59}, {"identifier": "O74", "position": [5, 2], "step": 59, "ordinal_position": 60}, {"identifier": "O10", "position": [5, 1], "step": 60, "ordinal_position": 61}, {"identifier": "R19", "position": [4, 1], "step": 61, "ordinal_position": 62}, {"identifier": "U05", "position": [3, 1], "step": 62, "ordinal_position": 63}, {"identifier": "D23", "position": [2, 1], "step": 63, "ordinal_position": 64}, {"identifier": "X12", "position": [1, 1], "step": 64, "ordinal_position": 65}, {"identifier": "U94", "position": [1, 2], "step": 65, "ordinal_position": 66}, {"identifier": "O54", "position": [1, 3], "step": 66, "ordinal_position": 67}, {"identifier": "X64", "position": [1, 4], "step": 67, "ordinal_position": 68}, {"identifier": "R22", "position": [1, 5], "step": 68, "ordinal_position": 69}, {"identifier": "J36", "position": [2, 5], "step": 69, "ordinal_position": 70}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 70, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_015.json"}} {"qa_id": "39ff24ecbcef46d984cc50f9f1bad1f9", "image_id": "L3-MazeLoop-test_7x7_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O10, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 10th position in this traversal?", "start_object_id": "O10", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [10], "ordinal_strings": ["10th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "J36", "traversal_path": [{"identifier": "O10", "position": [5, 1], "step": 0, "ordinal_position": 1}, {"identifier": "R19", "position": [4, 1], "step": 1, "ordinal_position": 2}, {"identifier": "U05", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "D23", "position": [2, 1], "step": 3, "ordinal_position": 4}, {"identifier": "X12", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "U94", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "O54", "position": [1, 3], "step": 6, "ordinal_position": 7}, {"identifier": "X64", "position": [1, 4], "step": 7, "ordinal_position": 8}, {"identifier": "R22", "position": [1, 5], "step": 8, "ordinal_position": 9}, {"identifier": "J36", "position": [2, 5], "step": 9, "ordinal_position": 10}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 10, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_015.json"}} {"qa_id": "eeb5a722ca694f3693ac1ade811fb984", "image_id": "L3-MazeLoop-test_7x7_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S65, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 27th position in this traversal?", "start_object_id": "S65", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [27], "ordinal_strings": ["27th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "R19", "traversal_path": [{"identifier": "S65", "position": [4, 5], "step": 0, "ordinal_position": 1}, {"identifier": "S88", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "J36", "position": [2, 5], "step": 2, "ordinal_position": 3}, {"identifier": "R22", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "X64", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "O54", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "U94", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "X12", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "D23", "position": [2, 1], "step": 8, "ordinal_position": 9}, {"identifier": "U05", "position": [3, 1], "step": 9, "ordinal_position": 10}, {"identifier": "R19", "position": [4, 1], "step": 10, "ordinal_position": 11}, {"identifier": "O10", "position": [5, 1], "step": 11, "ordinal_position": 12}, {"identifier": "O74", "position": [5, 2], "step": 12, "ordinal_position": 13}, {"identifier": "J15", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "M51", "position": [5, 4], "step": 14, "ordinal_position": 15}, {"identifier": "K78", "position": [5, 5], "step": 15, "ordinal_position": 16}, {"identifier": "S65", "position": [4, 5], "step": 16, "ordinal_position": 17}, {"identifier": "S88", "position": [3, 5], "step": 17, "ordinal_position": 18}, {"identifier": "J36", "position": [2, 5], "step": 18, "ordinal_position": 19}, {"identifier": "R22", "position": [1, 5], "step": 19, "ordinal_position": 20}, {"identifier": "X64", "position": [1, 4], "step": 20, "ordinal_position": 21}, {"identifier": "O54", "position": [1, 3], "step": 21, "ordinal_position": 22}, {"identifier": "U94", "position": [1, 2], "step": 22, "ordinal_position": 23}, {"identifier": "X12", "position": [1, 1], "step": 23, "ordinal_position": 24}, {"identifier": "D23", "position": [2, 1], "step": 24, "ordinal_position": 25}, {"identifier": "U05", "position": [3, 1], "step": 25, "ordinal_position": 26}, {"identifier": "R19", "position": [4, 1], "step": 26, "ordinal_position": 27}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 27, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_015.json"}} {"qa_id": "f2caf0dd8dc346c680e73ccd7fdd4228", "image_id": "L3-MazeLoop-test_7x7_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J36, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 296th position in this traversal?", "start_object_id": "J36", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [296], "ordinal_strings": ["296th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "O10", "traversal_path": [{"identifier": "J36", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "S88", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "S65", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "K78", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "M51", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "J15", "position": [5, 3], "step": 5, "ordinal_position": 6}, {"identifier": "O74", "position": [5, 2], "step": 6, "ordinal_position": 7}, {"identifier": "O10", "position": [5, 1], "step": 7, "ordinal_position": 8}, {"identifier": "R19", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "U05", "position": [3, 1], "step": 9, "ordinal_position": 10}, {"identifier": "D23", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "X12", "position": [1, 1], "step": 11, "ordinal_position": 12}, {"identifier": "U94", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "O54", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "X64", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "R22", "position": [1, 5], "step": 15, "ordinal_position": 16}, {"identifier": "J36", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "S88", "position": [3, 5], "step": 17, "ordinal_position": 18}, {"identifier": "S65", "position": [4, 5], "step": 18, "ordinal_position": 19}, {"identifier": "K78", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "M51", "position": [5, 4], "step": 20, "ordinal_position": 21}, {"identifier": "J15", "position": [5, 3], "step": 21, "ordinal_position": 22}, {"identifier": "O74", "position": [5, 2], "step": 22, "ordinal_position": 23}, {"identifier": "O10", "position": [5, 1], "step": 23, "ordinal_position": 24}, {"identifier": "R19", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "U05", "position": [3, 1], "step": 25, "ordinal_position": 26}, {"identifier": "D23", "position": [2, 1], "step": 26, "ordinal_position": 27}, {"identifier": "X12", "position": [1, 1], "step": 27, "ordinal_position": 28}, {"identifier": "U94", "position": [1, 2], "step": 28, "ordinal_position": 29}, {"identifier": "O54", "position": [1, 3], "step": 29, "ordinal_position": 30}, {"identifier": "X64", "position": [1, 4], "step": 30, "ordinal_position": 31}, {"identifier": "R22", "position": [1, 5], "step": 31, "ordinal_position": 32}, {"identifier": "J36", "position": [2, 5], "step": 32, "ordinal_position": 33}, {"identifier": "S88", "position": [3, 5], "step": 33, "ordinal_position": 34}, {"identifier": "S65", "position": [4, 5], "step": 34, "ordinal_position": 35}, {"identifier": "K78", "position": [5, 5], "step": 35, "ordinal_position": 36}, {"identifier": "M51", "position": [5, 4], "step": 36, "ordinal_position": 37}, {"identifier": "J15", "position": [5, 3], "step": 37, "ordinal_position": 38}, {"identifier": "O74", "position": [5, 2], "step": 38, "ordinal_position": 39}, {"identifier": "O10", "position": [5, 1], "step": 39, "ordinal_position": 40}, {"identifier": "R19", "position": [4, 1], "step": 40, "ordinal_position": 41}, {"identifier": "U05", "position": [3, 1], "step": 41, "ordinal_position": 42}, {"identifier": "D23", "position": [2, 1], "step": 42, "ordinal_position": 43}, {"identifier": "X12", "position": [1, 1], "step": 43, "ordinal_position": 44}, {"identifier": "U94", "position": [1, 2], "step": 44, "ordinal_position": 45}, {"identifier": "O54", "position": [1, 3], "step": 45, "ordinal_position": 46}, {"identifier": "X64", "position": [1, 4], "step": 46, "ordinal_position": 47}, {"identifier": "R22", "position": [1, 5], "step": 47, "ordinal_position": 48}, {"identifier": "J36", "position": [2, 5], "step": 48, "ordinal_position": 49}, {"identifier": "S88", "position": [3, 5], "step": 49, "ordinal_position": 50}, {"identifier": "S65", "position": [4, 5], "step": 50, "ordinal_position": 51}, {"identifier": "K78", "position": [5, 5], "step": 51, "ordinal_position": 52}, {"identifier": "M51", "position": [5, 4], "step": 52, "ordinal_position": 53}, {"identifier": "J15", "position": [5, 3], "step": 53, "ordinal_position": 54}, {"identifier": "O74", "position": [5, 2], "step": 54, "ordinal_position": 55}, {"identifier": "O10", "position": [5, 1], "step": 55, "ordinal_position": 56}, {"identifier": "R19", "position": [4, 1], "step": 56, "ordinal_position": 57}, {"identifier": "U05", "position": [3, 1], "step": 57, "ordinal_position": 58}, {"identifier": "D23", "position": [2, 1], "step": 58, "ordinal_position": 59}, {"identifier": "X12", "position": [1, 1], "step": 59, "ordinal_position": 60}, {"identifier": "U94", "position": [1, 2], "step": 60, "ordinal_position": 61}, {"identifier": "O54", "position": [1, 3], "step": 61, "ordinal_position": 62}, {"identifier": "X64", "position": [1, 4], "step": 62, "ordinal_position": 63}, {"identifier": "R22", "position": [1, 5], "step": 63, "ordinal_position": 64}, {"identifier": "J36", "position": [2, 5], "step": 64, "ordinal_position": 65}, {"identifier": "S88", "position": [3, 5], "step": 65, "ordinal_position": 66}, {"identifier": "S65", "position": [4, 5], "step": 66, "ordinal_position": 67}, {"identifier": "K78", "position": [5, 5], "step": 67, "ordinal_position": 68}, {"identifier": "M51", "position": [5, 4], "step": 68, "ordinal_position": 69}, {"identifier": "J15", "position": [5, 3], "step": 69, "ordinal_position": 70}, {"identifier": "O74", "position": [5, 2], "step": 70, "ordinal_position": 71}, {"identifier": "O10", "position": [5, 1], "step": 71, "ordinal_position": 72}, {"identifier": "R19", "position": [4, 1], "step": 72, "ordinal_position": 73}, {"identifier": "U05", "position": [3, 1], "step": 73, "ordinal_position": 74}, {"identifier": "D23", "position": [2, 1], "step": 74, "ordinal_position": 75}, {"identifier": "X12", "position": [1, 1], "step": 75, "ordinal_position": 76}, {"identifier": "U94", "position": [1, 2], "step": 76, "ordinal_position": 77}, {"identifier": "O54", "position": [1, 3], "step": 77, "ordinal_position": 78}, {"identifier": "X64", "position": [1, 4], "step": 78, "ordinal_position": 79}, {"identifier": "R22", "position": [1, 5], "step": 79, "ordinal_position": 80}, {"identifier": "J36", "position": [2, 5], "step": 80, "ordinal_position": 81}, {"identifier": "S88", "position": [3, 5], "step": 81, "ordinal_position": 82}, {"identifier": "S65", "position": [4, 5], "step": 82, "ordinal_position": 83}, {"identifier": "K78", "position": [5, 5], "step": 83, "ordinal_position": 84}, {"identifier": "M51", "position": [5, 4], "step": 84, "ordinal_position": 85}, {"identifier": "J15", "position": [5, 3], "step": 85, "ordinal_position": 86}, {"identifier": "O74", "position": [5, 2], "step": 86, "ordinal_position": 87}, {"identifier": "O10", "position": [5, 1], "step": 87, "ordinal_position": 88}, {"identifier": "R19", "position": [4, 1], "step": 88, "ordinal_position": 89}, {"identifier": "U05", "position": [3, 1], "step": 89, "ordinal_position": 90}, {"identifier": "D23", "position": [2, 1], "step": 90, "ordinal_position": 91}, {"identifier": "X12", "position": [1, 1], "step": 91, "ordinal_position": 92}, {"identifier": "U94", "position": [1, 2], "step": 92, "ordinal_position": 93}, {"identifier": "O54", "position": [1, 3], "step": 93, "ordinal_position": 94}, {"identifier": "X64", "position": [1, 4], "step": 94, "ordinal_position": 95}, {"identifier": "R22", "position": [1, 5], "step": 95, "ordinal_position": 96}, {"identifier": "J36", "position": [2, 5], "step": 96, "ordinal_position": 97}, {"identifier": "S88", "position": [3, 5], "step": 97, "ordinal_position": 98}, {"identifier": "S65", "position": [4, 5], "step": 98, "ordinal_position": 99}, {"identifier": "K78", "position": [5, 5], "step": 99, "ordinal_position": 100}, {"identifier": "M51", "position": [5, 4], "step": 100, "ordinal_position": 101}, {"identifier": "J15", "position": [5, 3], "step": 101, "ordinal_position": 102}, {"identifier": "O74", "position": [5, 2], "step": 102, "ordinal_position": 103}, {"identifier": "O10", "position": [5, 1], "step": 103, "ordinal_position": 104}, {"identifier": "R19", "position": [4, 1], "step": 104, "ordinal_position": 105}, {"identifier": "U05", "position": [3, 1], "step": 105, "ordinal_position": 106}, {"identifier": "D23", "position": [2, 1], "step": 106, "ordinal_position": 107}, {"identifier": "X12", "position": [1, 1], "step": 107, "ordinal_position": 108}, {"identifier": "U94", "position": [1, 2], "step": 108, "ordinal_position": 109}, {"identifier": "O54", "position": [1, 3], "step": 109, "ordinal_position": 110}, {"identifier": "X64", "position": [1, 4], "step": 110, "ordinal_position": 111}, {"identifier": "R22", "position": [1, 5], "step": 111, "ordinal_position": 112}, {"identifier": "J36", "position": [2, 5], "step": 112, "ordinal_position": 113}, {"identifier": "S88", "position": [3, 5], "step": 113, "ordinal_position": 114}, {"identifier": "S65", "position": [4, 5], "step": 114, "ordinal_position": 115}, {"identifier": "K78", "position": [5, 5], "step": 115, "ordinal_position": 116}, {"identifier": "M51", "position": [5, 4], "step": 116, "ordinal_position": 117}, {"identifier": "J15", "position": [5, 3], "step": 117, "ordinal_position": 118}, {"identifier": "O74", "position": [5, 2], "step": 118, "ordinal_position": 119}, {"identifier": "O10", "position": [5, 1], "step": 119, "ordinal_position": 120}, {"identifier": "R19", "position": [4, 1], "step": 120, "ordinal_position": 121}, {"identifier": "U05", "position": [3, 1], "step": 121, "ordinal_position": 122}, {"identifier": "D23", "position": [2, 1], "step": 122, "ordinal_position": 123}, {"identifier": "X12", "position": [1, 1], "step": 123, "ordinal_position": 124}, {"identifier": "U94", "position": [1, 2], "step": 124, "ordinal_position": 125}, {"identifier": "O54", "position": [1, 3], "step": 125, "ordinal_position": 126}, {"identifier": "X64", "position": [1, 4], "step": 126, "ordinal_position": 127}, {"identifier": "R22", "position": [1, 5], "step": 127, "ordinal_position": 128}, {"identifier": "J36", "position": [2, 5], "step": 128, "ordinal_position": 129}, {"identifier": "S88", "position": [3, 5], "step": 129, "ordinal_position": 130}, {"identifier": "S65", "position": [4, 5], "step": 130, "ordinal_position": 131}, {"identifier": "K78", "position": [5, 5], "step": 131, "ordinal_position": 132}, {"identifier": "M51", "position": [5, 4], "step": 132, "ordinal_position": 133}, {"identifier": "J15", "position": [5, 3], "step": 133, "ordinal_position": 134}, {"identifier": "O74", "position": [5, 2], "step": 134, "ordinal_position": 135}, {"identifier": "O10", "position": [5, 1], "step": 135, "ordinal_position": 136}, {"identifier": "R19", "position": [4, 1], "step": 136, "ordinal_position": 137}, {"identifier": "U05", "position": [3, 1], "step": 137, "ordinal_position": 138}, {"identifier": "D23", "position": [2, 1], "step": 138, "ordinal_position": 139}, {"identifier": "X12", "position": [1, 1], "step": 139, "ordinal_position": 140}, {"identifier": "U94", "position": [1, 2], "step": 140, "ordinal_position": 141}, {"identifier": "O54", "position": [1, 3], "step": 141, "ordinal_position": 142}, {"identifier": "X64", "position": [1, 4], "step": 142, "ordinal_position": 143}, {"identifier": "R22", "position": [1, 5], "step": 143, "ordinal_position": 144}, {"identifier": "J36", "position": [2, 5], "step": 144, "ordinal_position": 145}, {"identifier": "S88", "position": [3, 5], "step": 145, "ordinal_position": 146}, {"identifier": "S65", "position": [4, 5], "step": 146, "ordinal_position": 147}, {"identifier": "K78", "position": [5, 5], "step": 147, "ordinal_position": 148}, {"identifier": "M51", "position": [5, 4], "step": 148, "ordinal_position": 149}, {"identifier": "J15", "position": [5, 3], "step": 149, "ordinal_position": 150}, {"identifier": "O74", "position": [5, 2], "step": 150, "ordinal_position": 151}, {"identifier": "O10", "position": [5, 1], "step": 151, "ordinal_position": 152}, {"identifier": "R19", "position": [4, 1], "step": 152, "ordinal_position": 153}, {"identifier": "U05", "position": [3, 1], "step": 153, "ordinal_position": 154}, {"identifier": "D23", "position": [2, 1], "step": 154, "ordinal_position": 155}, {"identifier": "X12", "position": [1, 1], "step": 155, "ordinal_position": 156}, {"identifier": "U94", "position": [1, 2], "step": 156, "ordinal_position": 157}, {"identifier": "O54", "position": [1, 3], "step": 157, "ordinal_position": 158}, {"identifier": "X64", "position": [1, 4], "step": 158, "ordinal_position": 159}, {"identifier": "R22", "position": [1, 5], "step": 159, "ordinal_position": 160}, {"identifier": "J36", "position": [2, 5], "step": 160, "ordinal_position": 161}, {"identifier": "S88", "position": [3, 5], "step": 161, "ordinal_position": 162}, {"identifier": "S65", "position": [4, 5], "step": 162, "ordinal_position": 163}, {"identifier": "K78", "position": [5, 5], "step": 163, "ordinal_position": 164}, {"identifier": "M51", "position": [5, 4], "step": 164, "ordinal_position": 165}, {"identifier": "J15", "position": [5, 3], "step": 165, "ordinal_position": 166}, {"identifier": "O74", "position": [5, 2], "step": 166, "ordinal_position": 167}, {"identifier": "O10", "position": [5, 1], "step": 167, "ordinal_position": 168}, {"identifier": "R19", "position": [4, 1], "step": 168, "ordinal_position": 169}, {"identifier": "U05", "position": [3, 1], "step": 169, "ordinal_position": 170}, {"identifier": "D23", "position": [2, 1], "step": 170, "ordinal_position": 171}, {"identifier": "X12", "position": [1, 1], "step": 171, "ordinal_position": 172}, {"identifier": "U94", "position": [1, 2], "step": 172, "ordinal_position": 173}, {"identifier": "O54", "position": [1, 3], "step": 173, "ordinal_position": 174}, {"identifier": "X64", "position": [1, 4], "step": 174, "ordinal_position": 175}, {"identifier": "R22", "position": [1, 5], "step": 175, "ordinal_position": 176}, {"identifier": "J36", "position": [2, 5], "step": 176, "ordinal_position": 177}, {"identifier": "S88", "position": [3, 5], "step": 177, "ordinal_position": 178}, {"identifier": "S65", "position": [4, 5], "step": 178, "ordinal_position": 179}, {"identifier": "K78", "position": [5, 5], "step": 179, "ordinal_position": 180}, {"identifier": "M51", "position": [5, 4], "step": 180, "ordinal_position": 181}, {"identifier": "J15", "position": [5, 3], "step": 181, "ordinal_position": 182}, {"identifier": "O74", "position": [5, 2], "step": 182, "ordinal_position": 183}, {"identifier": "O10", "position": [5, 1], "step": 183, "ordinal_position": 184}, {"identifier": "R19", "position": [4, 1], "step": 184, "ordinal_position": 185}, {"identifier": "U05", "position": [3, 1], "step": 185, "ordinal_position": 186}, {"identifier": "D23", "position": [2, 1], "step": 186, "ordinal_position": 187}, {"identifier": "X12", "position": [1, 1], "step": 187, "ordinal_position": 188}, {"identifier": "U94", "position": [1, 2], "step": 188, "ordinal_position": 189}, {"identifier": "O54", "position": [1, 3], "step": 189, "ordinal_position": 190}, {"identifier": "X64", "position": [1, 4], "step": 190, "ordinal_position": 191}, {"identifier": "R22", "position": [1, 5], "step": 191, "ordinal_position": 192}, {"identifier": "J36", "position": [2, 5], "step": 192, "ordinal_position": 193}, {"identifier": "S88", "position": [3, 5], "step": 193, "ordinal_position": 194}, {"identifier": "S65", "position": [4, 5], "step": 194, "ordinal_position": 195}, {"identifier": "K78", "position": [5, 5], "step": 195, "ordinal_position": 196}, {"identifier": "M51", "position": [5, 4], "step": 196, "ordinal_position": 197}, {"identifier": "J15", "position": [5, 3], "step": 197, "ordinal_position": 198}, {"identifier": "O74", "position": [5, 2], "step": 198, "ordinal_position": 199}, {"identifier": "O10", "position": [5, 1], "step": 199, "ordinal_position": 200}, {"identifier": "R19", "position": [4, 1], "step": 200, "ordinal_position": 201}, {"identifier": "U05", "position": [3, 1], "step": 201, "ordinal_position": 202}, {"identifier": "D23", "position": [2, 1], "step": 202, "ordinal_position": 203}, {"identifier": "X12", "position": [1, 1], "step": 203, "ordinal_position": 204}, {"identifier": "U94", "position": [1, 2], "step": 204, "ordinal_position": 205}, {"identifier": "O54", "position": [1, 3], "step": 205, "ordinal_position": 206}, {"identifier": "X64", "position": [1, 4], "step": 206, "ordinal_position": 207}, {"identifier": "R22", "position": [1, 5], "step": 207, "ordinal_position": 208}, {"identifier": "J36", "position": [2, 5], "step": 208, "ordinal_position": 209}, {"identifier": "S88", "position": [3, 5], "step": 209, "ordinal_position": 210}, {"identifier": "S65", "position": [4, 5], "step": 210, "ordinal_position": 211}, {"identifier": "K78", "position": [5, 5], "step": 211, "ordinal_position": 212}, {"identifier": "M51", "position": [5, 4], "step": 212, "ordinal_position": 213}, {"identifier": "J15", "position": [5, 3], "step": 213, "ordinal_position": 214}, {"identifier": "O74", "position": [5, 2], "step": 214, "ordinal_position": 215}, {"identifier": "O10", "position": [5, 1], "step": 215, "ordinal_position": 216}, {"identifier": "R19", "position": [4, 1], "step": 216, "ordinal_position": 217}, {"identifier": "U05", "position": [3, 1], "step": 217, "ordinal_position": 218}, {"identifier": "D23", "position": [2, 1], "step": 218, "ordinal_position": 219}, {"identifier": "X12", "position": [1, 1], "step": 219, "ordinal_position": 220}, {"identifier": "U94", "position": [1, 2], "step": 220, "ordinal_position": 221}, {"identifier": "O54", "position": [1, 3], "step": 221, "ordinal_position": 222}, {"identifier": "X64", "position": [1, 4], "step": 222, "ordinal_position": 223}, {"identifier": "R22", "position": [1, 5], "step": 223, "ordinal_position": 224}, {"identifier": "J36", "position": [2, 5], "step": 224, "ordinal_position": 225}, {"identifier": "S88", "position": [3, 5], "step": 225, "ordinal_position": 226}, {"identifier": "S65", "position": [4, 5], "step": 226, "ordinal_position": 227}, {"identifier": "K78", "position": [5, 5], "step": 227, "ordinal_position": 228}, {"identifier": "M51", "position": [5, 4], "step": 228, "ordinal_position": 229}, {"identifier": "J15", "position": [5, 3], "step": 229, "ordinal_position": 230}, {"identifier": "O74", "position": [5, 2], "step": 230, "ordinal_position": 231}, {"identifier": "O10", "position": [5, 1], "step": 231, "ordinal_position": 232}, {"identifier": "R19", "position": [4, 1], "step": 232, "ordinal_position": 233}, {"identifier": "U05", "position": [3, 1], "step": 233, "ordinal_position": 234}, {"identifier": "D23", "position": [2, 1], "step": 234, "ordinal_position": 235}, {"identifier": "X12", "position": [1, 1], "step": 235, "ordinal_position": 236}, {"identifier": "U94", "position": [1, 2], "step": 236, "ordinal_position": 237}, {"identifier": "O54", "position": [1, 3], "step": 237, "ordinal_position": 238}, {"identifier": "X64", "position": [1, 4], "step": 238, "ordinal_position": 239}, {"identifier": "R22", "position": [1, 5], "step": 239, "ordinal_position": 240}, {"identifier": "J36", "position": [2, 5], "step": 240, "ordinal_position": 241}, {"identifier": "S88", "position": [3, 5], "step": 241, "ordinal_position": 242}, {"identifier": "S65", "position": [4, 5], "step": 242, "ordinal_position": 243}, {"identifier": "K78", "position": [5, 5], "step": 243, "ordinal_position": 244}, {"identifier": "M51", "position": [5, 4], "step": 244, "ordinal_position": 245}, {"identifier": "J15", "position": [5, 3], "step": 245, "ordinal_position": 246}, {"identifier": "O74", "position": [5, 2], "step": 246, "ordinal_position": 247}, {"identifier": "O10", "position": [5, 1], "step": 247, "ordinal_position": 248}, {"identifier": "R19", "position": [4, 1], "step": 248, "ordinal_position": 249}, {"identifier": "U05", "position": [3, 1], "step": 249, "ordinal_position": 250}, {"identifier": "D23", "position": [2, 1], "step": 250, "ordinal_position": 251}, {"identifier": "X12", "position": [1, 1], "step": 251, "ordinal_position": 252}, {"identifier": "U94", "position": [1, 2], "step": 252, "ordinal_position": 253}, {"identifier": "O54", "position": [1, 3], "step": 253, "ordinal_position": 254}, {"identifier": "X64", "position": [1, 4], "step": 254, "ordinal_position": 255}, {"identifier": "R22", "position": [1, 5], "step": 255, "ordinal_position": 256}, {"identifier": "J36", "position": [2, 5], "step": 256, "ordinal_position": 257}, {"identifier": "S88", "position": [3, 5], "step": 257, "ordinal_position": 258}, {"identifier": "S65", "position": [4, 5], "step": 258, "ordinal_position": 259}, {"identifier": "K78", "position": [5, 5], "step": 259, "ordinal_position": 260}, {"identifier": "M51", "position": [5, 4], "step": 260, "ordinal_position": 261}, {"identifier": "J15", "position": [5, 3], "step": 261, "ordinal_position": 262}, {"identifier": "O74", "position": [5, 2], "step": 262, "ordinal_position": 263}, {"identifier": "O10", "position": [5, 1], "step": 263, "ordinal_position": 264}, {"identifier": "R19", "position": [4, 1], "step": 264, "ordinal_position": 265}, {"identifier": "U05", "position": [3, 1], "step": 265, "ordinal_position": 266}, {"identifier": "D23", "position": [2, 1], "step": 266, "ordinal_position": 267}, {"identifier": "X12", "position": [1, 1], "step": 267, "ordinal_position": 268}, {"identifier": "U94", "position": [1, 2], "step": 268, "ordinal_position": 269}, {"identifier": "O54", "position": [1, 3], "step": 269, "ordinal_position": 270}, {"identifier": "X64", "position": [1, 4], "step": 270, "ordinal_position": 271}, {"identifier": "R22", "position": [1, 5], "step": 271, "ordinal_position": 272}, {"identifier": "J36", "position": [2, 5], "step": 272, "ordinal_position": 273}, {"identifier": "S88", "position": [3, 5], "step": 273, "ordinal_position": 274}, {"identifier": "S65", "position": [4, 5], "step": 274, "ordinal_position": 275}, {"identifier": "K78", "position": [5, 5], "step": 275, "ordinal_position": 276}, {"identifier": "M51", "position": [5, 4], "step": 276, "ordinal_position": 277}, {"identifier": "J15", "position": [5, 3], "step": 277, "ordinal_position": 278}, {"identifier": "O74", "position": [5, 2], "step": 278, "ordinal_position": 279}, {"identifier": "O10", "position": [5, 1], "step": 279, "ordinal_position": 280}, {"identifier": "R19", "position": [4, 1], "step": 280, "ordinal_position": 281}, {"identifier": "U05", "position": [3, 1], "step": 281, "ordinal_position": 282}, {"identifier": "D23", "position": [2, 1], "step": 282, "ordinal_position": 283}, {"identifier": "X12", "position": [1, 1], "step": 283, "ordinal_position": 284}, {"identifier": "U94", "position": [1, 2], "step": 284, "ordinal_position": 285}, {"identifier": "O54", "position": [1, 3], "step": 285, "ordinal_position": 286}, {"identifier": "X64", "position": [1, 4], "step": 286, "ordinal_position": 287}, {"identifier": "R22", "position": [1, 5], "step": 287, "ordinal_position": 288}, {"identifier": "J36", "position": [2, 5], "step": 288, "ordinal_position": 289}, {"identifier": "S88", "position": [3, 5], "step": 289, "ordinal_position": 290}, {"identifier": "S65", "position": [4, 5], "step": 290, "ordinal_position": 291}, {"identifier": "K78", "position": [5, 5], "step": 291, "ordinal_position": 292}, {"identifier": "M51", "position": [5, 4], "step": 292, "ordinal_position": 293}, {"identifier": "J15", "position": [5, 3], "step": 293, "ordinal_position": 294}, {"identifier": "O74", "position": [5, 2], "step": 294, "ordinal_position": 295}, {"identifier": "O10", "position": [5, 1], "step": 295, "ordinal_position": 296}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 296, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_015.json"}} {"qa_id": "c16ae08ed1424bbb9e7d966f5196e9d3", "image_id": "L3-MazeLoop-test_7x7_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R22, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 298th position in this traversal?", "start_object_id": "R22", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [298], "ordinal_strings": ["298th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "R19", "traversal_path": [{"identifier": "R22", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "J36", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "S88", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "S65", "position": [4, 5], "step": 3, "ordinal_position": 4}, {"identifier": "K78", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "M51", "position": [5, 4], "step": 5, "ordinal_position": 6}, {"identifier": "J15", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "O74", "position": [5, 2], "step": 7, "ordinal_position": 8}, {"identifier": "O10", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "R19", "position": [4, 1], "step": 9, "ordinal_position": 10}, {"identifier": "U05", "position": [3, 1], "step": 10, "ordinal_position": 11}, {"identifier": "D23", "position": [2, 1], "step": 11, "ordinal_position": 12}, {"identifier": "X12", "position": [1, 1], "step": 12, "ordinal_position": 13}, {"identifier": "U94", "position": [1, 2], "step": 13, "ordinal_position": 14}, {"identifier": "O54", "position": [1, 3], "step": 14, "ordinal_position": 15}, {"identifier": "X64", "position": [1, 4], "step": 15, "ordinal_position": 16}, {"identifier": "R22", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "J36", "position": [2, 5], "step": 17, "ordinal_position": 18}, {"identifier": "S88", "position": [3, 5], "step": 18, "ordinal_position": 19}, {"identifier": "S65", "position": [4, 5], "step": 19, "ordinal_position": 20}, {"identifier": "K78", "position": [5, 5], "step": 20, "ordinal_position": 21}, {"identifier": "M51", "position": [5, 4], "step": 21, "ordinal_position": 22}, {"identifier": "J15", "position": [5, 3], "step": 22, "ordinal_position": 23}, {"identifier": "O74", "position": [5, 2], "step": 23, "ordinal_position": 24}, {"identifier": "O10", "position": [5, 1], "step": 24, "ordinal_position": 25}, {"identifier": "R19", "position": [4, 1], "step": 25, "ordinal_position": 26}, {"identifier": "U05", "position": [3, 1], "step": 26, "ordinal_position": 27}, {"identifier": "D23", "position": [2, 1], "step": 27, "ordinal_position": 28}, {"identifier": "X12", "position": [1, 1], "step": 28, "ordinal_position": 29}, {"identifier": "U94", "position": [1, 2], "step": 29, "ordinal_position": 30}, {"identifier": "O54", "position": [1, 3], "step": 30, "ordinal_position": 31}, {"identifier": "X64", "position": [1, 4], "step": 31, "ordinal_position": 32}, {"identifier": "R22", "position": [1, 5], "step": 32, "ordinal_position": 33}, {"identifier": "J36", "position": [2, 5], "step": 33, "ordinal_position": 34}, {"identifier": "S88", "position": [3, 5], "step": 34, "ordinal_position": 35}, {"identifier": "S65", "position": [4, 5], "step": 35, "ordinal_position": 36}, {"identifier": "K78", "position": [5, 5], "step": 36, "ordinal_position": 37}, {"identifier": "M51", "position": [5, 4], "step": 37, "ordinal_position": 38}, {"identifier": "J15", "position": [5, 3], "step": 38, "ordinal_position": 39}, {"identifier": "O74", "position": [5, 2], "step": 39, "ordinal_position": 40}, {"identifier": "O10", "position": [5, 1], "step": 40, "ordinal_position": 41}, {"identifier": "R19", "position": [4, 1], "step": 41, "ordinal_position": 42}, {"identifier": "U05", "position": [3, 1], "step": 42, "ordinal_position": 43}, {"identifier": "D23", "position": [2, 1], "step": 43, "ordinal_position": 44}, {"identifier": "X12", "position": [1, 1], "step": 44, "ordinal_position": 45}, {"identifier": "U94", "position": [1, 2], "step": 45, "ordinal_position": 46}, {"identifier": "O54", "position": [1, 3], "step": 46, "ordinal_position": 47}, {"identifier": "X64", "position": [1, 4], "step": 47, "ordinal_position": 48}, {"identifier": "R22", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "J36", "position": [2, 5], "step": 49, "ordinal_position": 50}, {"identifier": "S88", "position": [3, 5], "step": 50, "ordinal_position": 51}, {"identifier": "S65", "position": [4, 5], "step": 51, "ordinal_position": 52}, {"identifier": "K78", "position": [5, 5], "step": 52, "ordinal_position": 53}, {"identifier": "M51", "position": [5, 4], "step": 53, "ordinal_position": 54}, {"identifier": "J15", "position": [5, 3], "step": 54, "ordinal_position": 55}, {"identifier": "O74", "position": [5, 2], "step": 55, "ordinal_position": 56}, {"identifier": "O10", "position": [5, 1], "step": 56, "ordinal_position": 57}, {"identifier": "R19", "position": [4, 1], "step": 57, "ordinal_position": 58}, {"identifier": "U05", "position": [3, 1], "step": 58, "ordinal_position": 59}, {"identifier": "D23", "position": [2, 1], "step": 59, "ordinal_position": 60}, {"identifier": "X12", "position": [1, 1], "step": 60, "ordinal_position": 61}, {"identifier": "U94", "position": [1, 2], "step": 61, "ordinal_position": 62}, {"identifier": "O54", "position": [1, 3], "step": 62, "ordinal_position": 63}, {"identifier": "X64", "position": [1, 4], "step": 63, "ordinal_position": 64}, {"identifier": "R22", "position": [1, 5], "step": 64, "ordinal_position": 65}, {"identifier": "J36", "position": [2, 5], "step": 65, "ordinal_position": 66}, {"identifier": "S88", "position": [3, 5], "step": 66, "ordinal_position": 67}, {"identifier": "S65", "position": [4, 5], "step": 67, "ordinal_position": 68}, {"identifier": "K78", "position": [5, 5], "step": 68, "ordinal_position": 69}, {"identifier": "M51", "position": [5, 4], "step": 69, "ordinal_position": 70}, {"identifier": "J15", "position": [5, 3], "step": 70, "ordinal_position": 71}, {"identifier": "O74", "position": [5, 2], "step": 71, "ordinal_position": 72}, {"identifier": "O10", "position": [5, 1], "step": 72, "ordinal_position": 73}, {"identifier": "R19", "position": [4, 1], "step": 73, "ordinal_position": 74}, {"identifier": "U05", "position": [3, 1], "step": 74, "ordinal_position": 75}, {"identifier": "D23", "position": [2, 1], "step": 75, "ordinal_position": 76}, {"identifier": "X12", "position": [1, 1], "step": 76, "ordinal_position": 77}, {"identifier": "U94", "position": [1, 2], "step": 77, "ordinal_position": 78}, {"identifier": "O54", "position": [1, 3], "step": 78, "ordinal_position": 79}, {"identifier": "X64", "position": [1, 4], "step": 79, "ordinal_position": 80}, {"identifier": "R22", "position": [1, 5], "step": 80, "ordinal_position": 81}, {"identifier": "J36", "position": [2, 5], "step": 81, "ordinal_position": 82}, {"identifier": "S88", "position": [3, 5], "step": 82, "ordinal_position": 83}, {"identifier": "S65", "position": [4, 5], "step": 83, "ordinal_position": 84}, {"identifier": "K78", "position": [5, 5], "step": 84, "ordinal_position": 85}, {"identifier": "M51", "position": [5, 4], "step": 85, "ordinal_position": 86}, {"identifier": "J15", "position": [5, 3], "step": 86, "ordinal_position": 87}, {"identifier": "O74", "position": [5, 2], "step": 87, "ordinal_position": 88}, {"identifier": "O10", "position": [5, 1], "step": 88, "ordinal_position": 89}, {"identifier": "R19", "position": [4, 1], "step": 89, "ordinal_position": 90}, {"identifier": "U05", "position": [3, 1], "step": 90, "ordinal_position": 91}, {"identifier": "D23", "position": [2, 1], "step": 91, "ordinal_position": 92}, {"identifier": "X12", "position": [1, 1], "step": 92, "ordinal_position": 93}, {"identifier": "U94", "position": [1, 2], "step": 93, "ordinal_position": 94}, {"identifier": "O54", "position": [1, 3], "step": 94, "ordinal_position": 95}, {"identifier": "X64", "position": [1, 4], "step": 95, "ordinal_position": 96}, {"identifier": "R22", "position": [1, 5], "step": 96, "ordinal_position": 97}, {"identifier": "J36", "position": [2, 5], "step": 97, "ordinal_position": 98}, {"identifier": "S88", "position": [3, 5], "step": 98, "ordinal_position": 99}, {"identifier": "S65", "position": [4, 5], "step": 99, "ordinal_position": 100}, {"identifier": "K78", "position": [5, 5], "step": 100, "ordinal_position": 101}, {"identifier": "M51", "position": [5, 4], "step": 101, "ordinal_position": 102}, {"identifier": "J15", "position": [5, 3], "step": 102, "ordinal_position": 103}, {"identifier": "O74", "position": [5, 2], "step": 103, "ordinal_position": 104}, {"identifier": "O10", "position": [5, 1], "step": 104, "ordinal_position": 105}, {"identifier": "R19", "position": [4, 1], "step": 105, "ordinal_position": 106}, {"identifier": "U05", "position": [3, 1], "step": 106, "ordinal_position": 107}, {"identifier": "D23", "position": [2, 1], "step": 107, "ordinal_position": 108}, {"identifier": "X12", "position": [1, 1], "step": 108, "ordinal_position": 109}, {"identifier": "U94", "position": [1, 2], "step": 109, "ordinal_position": 110}, {"identifier": "O54", "position": [1, 3], "step": 110, "ordinal_position": 111}, {"identifier": "X64", "position": [1, 4], "step": 111, "ordinal_position": 112}, {"identifier": "R22", "position": [1, 5], "step": 112, "ordinal_position": 113}, {"identifier": "J36", "position": [2, 5], "step": 113, "ordinal_position": 114}, {"identifier": "S88", "position": [3, 5], "step": 114, "ordinal_position": 115}, {"identifier": "S65", "position": [4, 5], "step": 115, "ordinal_position": 116}, {"identifier": "K78", "position": [5, 5], "step": 116, "ordinal_position": 117}, {"identifier": "M51", "position": [5, 4], "step": 117, "ordinal_position": 118}, {"identifier": "J15", "position": [5, 3], "step": 118, "ordinal_position": 119}, {"identifier": "O74", "position": [5, 2], "step": 119, "ordinal_position": 120}, {"identifier": "O10", "position": [5, 1], "step": 120, "ordinal_position": 121}, {"identifier": "R19", "position": [4, 1], "step": 121, "ordinal_position": 122}, {"identifier": "U05", "position": [3, 1], "step": 122, "ordinal_position": 123}, {"identifier": "D23", "position": [2, 1], "step": 123, "ordinal_position": 124}, {"identifier": "X12", "position": [1, 1], "step": 124, "ordinal_position": 125}, {"identifier": "U94", "position": [1, 2], "step": 125, "ordinal_position": 126}, {"identifier": "O54", "position": [1, 3], "step": 126, "ordinal_position": 127}, {"identifier": "X64", "position": [1, 4], "step": 127, "ordinal_position": 128}, {"identifier": "R22", "position": [1, 5], "step": 128, "ordinal_position": 129}, {"identifier": "J36", 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141, "ordinal_position": 142}, {"identifier": "O54", "position": [1, 3], "step": 142, "ordinal_position": 143}, {"identifier": "X64", "position": [1, 4], "step": 143, "ordinal_position": 144}, {"identifier": "R22", "position": [1, 5], "step": 144, "ordinal_position": 145}, {"identifier": "J36", "position": [2, 5], "step": 145, "ordinal_position": 146}, {"identifier": "S88", "position": [3, 5], "step": 146, "ordinal_position": 147}, {"identifier": "S65", "position": [4, 5], "step": 147, "ordinal_position": 148}, {"identifier": "K78", "position": [5, 5], "step": 148, "ordinal_position": 149}, {"identifier": "M51", "position": [5, 4], "step": 149, "ordinal_position": 150}, {"identifier": "J15", "position": [5, 3], "step": 150, "ordinal_position": 151}, {"identifier": "O74", "position": [5, 2], "step": 151, "ordinal_position": 152}, {"identifier": "O10", "position": [5, 1], "step": 152, "ordinal_position": 153}, {"identifier": "R19", "position": [4, 1], "step": 153, "ordinal_position": 154}, {"identifier": "U05", "position": [3, 1], "step": 154, "ordinal_position": 155}, {"identifier": "D23", "position": [2, 1], "step": 155, "ordinal_position": 156}, {"identifier": "X12", "position": [1, 1], "step": 156, "ordinal_position": 157}, {"identifier": "U94", "position": [1, 2], "step": 157, "ordinal_position": 158}, {"identifier": "O54", "position": [1, 3], "step": 158, "ordinal_position": 159}, {"identifier": "X64", "position": [1, 4], "step": 159, "ordinal_position": 160}, {"identifier": "R22", "position": [1, 5], "step": 160, "ordinal_position": 161}, {"identifier": "J36", "position": [2, 5], "step": 161, "ordinal_position": 162}, {"identifier": "S88", "position": [3, 5], "step": 162, "ordinal_position": 163}, {"identifier": "S65", "position": [4, 5], "step": 163, "ordinal_position": 164}, {"identifier": "K78", "position": [5, 5], "step": 164, "ordinal_position": 165}, {"identifier": "M51", "position": [5, 4], "step": 165, "ordinal_position": 166}, {"identifier": "J15", 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178, "ordinal_position": 179}, {"identifier": "S65", "position": [4, 5], "step": 179, "ordinal_position": 180}, {"identifier": "K78", "position": [5, 5], "step": 180, "ordinal_position": 181}, {"identifier": "M51", "position": [5, 4], "step": 181, "ordinal_position": 182}, {"identifier": "J15", "position": [5, 3], "step": 182, "ordinal_position": 183}, {"identifier": "O74", "position": [5, 2], "step": 183, "ordinal_position": 184}, {"identifier": "O10", "position": [5, 1], "step": 184, "ordinal_position": 185}, {"identifier": "R19", "position": [4, 1], "step": 185, "ordinal_position": 186}, {"identifier": "U05", "position": [3, 1], "step": 186, "ordinal_position": 187}, {"identifier": "D23", "position": [2, 1], "step": 187, "ordinal_position": 188}, {"identifier": "X12", "position": [1, 1], "step": 188, "ordinal_position": 189}, {"identifier": "U94", "position": [1, 2], "step": 189, "ordinal_position": 190}, {"identifier": "O54", "position": [1, 3], "step": 190, "ordinal_position": 191}, {"identifier": "X64", "position": [1, 4], "step": 191, "ordinal_position": 192}, {"identifier": "R22", "position": [1, 5], "step": 192, "ordinal_position": 193}, {"identifier": "J36", "position": [2, 5], "step": 193, "ordinal_position": 194}, {"identifier": "S88", "position": [3, 5], "step": 194, "ordinal_position": 195}, {"identifier": "S65", "position": [4, 5], "step": 195, "ordinal_position": 196}, {"identifier": "K78", "position": [5, 5], "step": 196, "ordinal_position": 197}, {"identifier": "M51", "position": [5, 4], "step": 197, "ordinal_position": 198}, {"identifier": "J15", "position": [5, 3], "step": 198, "ordinal_position": 199}, {"identifier": "O74", "position": [5, 2], "step": 199, "ordinal_position": 200}, {"identifier": "O10", "position": [5, 1], "step": 200, "ordinal_position": 201}, {"identifier": "R19", "position": [4, 1], "step": 201, "ordinal_position": 202}, {"identifier": "U05", "position": [3, 1], "step": 202, "ordinal_position": 203}, {"identifier": "D23", "position": [2, 1], "step": 203, "ordinal_position": 204}, {"identifier": "X12", "position": [1, 1], "step": 204, "ordinal_position": 205}, {"identifier": "U94", "position": [1, 2], "step": 205, "ordinal_position": 206}, {"identifier": "O54", "position": [1, 3], "step": 206, "ordinal_position": 207}, {"identifier": "X64", "position": [1, 4], "step": 207, "ordinal_position": 208}, {"identifier": "R22", "position": [1, 5], "step": 208, "ordinal_position": 209}, {"identifier": "J36", "position": [2, 5], "step": 209, "ordinal_position": 210}, {"identifier": "S88", "position": [3, 5], "step": 210, "ordinal_position": 211}, {"identifier": "S65", "position": [4, 5], "step": 211, "ordinal_position": 212}, {"identifier": "K78", "position": [5, 5], "step": 212, "ordinal_position": 213}, {"identifier": "M51", "position": [5, 4], "step": 213, "ordinal_position": 214}, {"identifier": "J15", "position": [5, 3], "step": 214, "ordinal_position": 215}, {"identifier": "O74", "position": [5, 2], "step": 215, "ordinal_position": 216}, {"identifier": "O10", "position": [5, 1], "step": 216, "ordinal_position": 217}, {"identifier": "R19", "position": [4, 1], "step": 217, "ordinal_position": 218}, {"identifier": "U05", "position": [3, 1], "step": 218, "ordinal_position": 219}, {"identifier": "D23", "position": [2, 1], "step": 219, "ordinal_position": 220}, {"identifier": "X12", "position": [1, 1], "step": 220, "ordinal_position": 221}, {"identifier": "U94", "position": [1, 2], "step": 221, "ordinal_position": 222}, {"identifier": "O54", "position": [1, 3], "step": 222, "ordinal_position": 223}, {"identifier": "X64", "position": [1, 4], "step": 223, "ordinal_position": 224}, {"identifier": "R22", "position": [1, 5], "step": 224, "ordinal_position": 225}, {"identifier": "J36", "position": [2, 5], "step": 225, "ordinal_position": 226}, {"identifier": "S88", "position": [3, 5], "step": 226, "ordinal_position": 227}, {"identifier": "S65", "position": [4, 5], "step": 227, "ordinal_position": 228}, {"identifier": "K78", "position": [5, 5], "step": 228, "ordinal_position": 229}, {"identifier": "M51", "position": [5, 4], "step": 229, "ordinal_position": 230}, {"identifier": "J15", "position": [5, 3], "step": 230, "ordinal_position": 231}, {"identifier": "O74", "position": [5, 2], "step": 231, "ordinal_position": 232}, {"identifier": "O10", "position": [5, 1], "step": 232, "ordinal_position": 233}, {"identifier": "R19", "position": [4, 1], "step": 233, "ordinal_position": 234}, {"identifier": "U05", "position": [3, 1], "step": 234, "ordinal_position": 235}, {"identifier": "D23", "position": [2, 1], "step": 235, "ordinal_position": 236}, {"identifier": "X12", "position": [1, 1], "step": 236, "ordinal_position": 237}, {"identifier": "U94", "position": [1, 2], "step": 237, "ordinal_position": 238}, {"identifier": "O54", "position": [1, 3], "step": 238, "ordinal_position": 239}, {"identifier": "X64", "position": [1, 4], "step": 239, "ordinal_position": 240}, {"identifier": "R22", "position": [1, 5], "step": 240, "ordinal_position": 241}, {"identifier": "J36", "position": [2, 5], "step": 241, "ordinal_position": 242}, {"identifier": "S88", "position": [3, 5], "step": 242, "ordinal_position": 243}, {"identifier": "S65", "position": [4, 5], "step": 243, "ordinal_position": 244}, {"identifier": "K78", "position": [5, 5], "step": 244, "ordinal_position": 245}, {"identifier": "M51", "position": [5, 4], "step": 245, "ordinal_position": 246}, {"identifier": "J15", "position": [5, 3], "step": 246, "ordinal_position": 247}, {"identifier": "O74", "position": [5, 2], "step": 247, "ordinal_position": 248}, {"identifier": "O10", "position": [5, 1], "step": 248, "ordinal_position": 249}, {"identifier": "R19", "position": [4, 1], "step": 249, "ordinal_position": 250}, {"identifier": "U05", "position": [3, 1], "step": 250, "ordinal_position": 251}, {"identifier": "D23", "position": [2, 1], "step": 251, "ordinal_position": 252}, {"identifier": "X12", "position": [1, 1], "step": 252, "ordinal_position": 253}, {"identifier": "U94", "position": [1, 2], "step": 253, "ordinal_position": 254}, {"identifier": "O54", "position": [1, 3], "step": 254, "ordinal_position": 255}, {"identifier": "X64", "position": [1, 4], "step": 255, "ordinal_position": 256}, {"identifier": "R22", "position": [1, 5], "step": 256, "ordinal_position": 257}, {"identifier": "J36", "position": [2, 5], "step": 257, "ordinal_position": 258}, {"identifier": "S88", "position": [3, 5], "step": 258, "ordinal_position": 259}, {"identifier": "S65", "position": [4, 5], "step": 259, "ordinal_position": 260}, {"identifier": "K78", "position": [5, 5], "step": 260, "ordinal_position": 261}, {"identifier": "M51", "position": [5, 4], "step": 261, "ordinal_position": 262}, {"identifier": "J15", "position": [5, 3], "step": 262, "ordinal_position": 263}, {"identifier": "O74", "position": [5, 2], "step": 263, "ordinal_position": 264}, {"identifier": "O10", "position": [5, 1], "step": 264, "ordinal_position": 265}, {"identifier": "R19", "position": [4, 1], "step": 265, "ordinal_position": 266}, {"identifier": "U05", "position": [3, 1], "step": 266, "ordinal_position": 267}, {"identifier": "D23", "position": [2, 1], "step": 267, "ordinal_position": 268}, {"identifier": "X12", "position": [1, 1], "step": 268, "ordinal_position": 269}, {"identifier": "U94", "position": [1, 2], "step": 269, "ordinal_position": 270}, {"identifier": "O54", "position": [1, 3], "step": 270, "ordinal_position": 271}, {"identifier": "X64", "position": [1, 4], "step": 271, "ordinal_position": 272}, {"identifier": "R22", "position": [1, 5], "step": 272, "ordinal_position": 273}, {"identifier": "J36", "position": [2, 5], "step": 273, "ordinal_position": 274}, {"identifier": "S88", "position": [3, 5], "step": 274, "ordinal_position": 275}, {"identifier": "S65", "position": [4, 5], "step": 275, "ordinal_position": 276}, {"identifier": "K78", "position": [5, 5], "step": 276, "ordinal_position": 277}, {"identifier": "M51", "position": [5, 4], "step": 277, "ordinal_position": 278}, {"identifier": "J15", "position": [5, 3], "step": 278, "ordinal_position": 279}, {"identifier": "O74", "position": [5, 2], "step": 279, "ordinal_position": 280}, {"identifier": "O10", "position": [5, 1], "step": 280, "ordinal_position": 281}, {"identifier": "R19", "position": [4, 1], "step": 281, "ordinal_position": 282}, {"identifier": "U05", "position": [3, 1], "step": 282, "ordinal_position": 283}, {"identifier": "D23", "position": [2, 1], "step": 283, "ordinal_position": 284}, {"identifier": "X12", "position": [1, 1], "step": 284, "ordinal_position": 285}, {"identifier": "U94", "position": [1, 2], "step": 285, "ordinal_position": 286}, {"identifier": "O54", "position": [1, 3], "step": 286, "ordinal_position": 287}, {"identifier": "X64", "position": [1, 4], "step": 287, "ordinal_position": 288}, {"identifier": "R22", "position": [1, 5], "step": 288, "ordinal_position": 289}, {"identifier": "J36", "position": [2, 5], "step": 289, "ordinal_position": 290}, {"identifier": "S88", "position": [3, 5], "step": 290, "ordinal_position": 291}, {"identifier": "S65", "position": [4, 5], "step": 291, "ordinal_position": 292}, {"identifier": "K78", "position": [5, 5], "step": 292, "ordinal_position": 293}, {"identifier": "M51", "position": [5, 4], "step": 293, "ordinal_position": 294}, {"identifier": "J15", "position": [5, 3], "step": 294, "ordinal_position": 295}, {"identifier": "O74", "position": [5, 2], "step": 295, "ordinal_position": 296}, {"identifier": "O10", "position": [5, 1], "step": 296, "ordinal_position": 297}, {"identifier": "R19", "position": [4, 1], "step": 297, "ordinal_position": 298}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 298, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_015.json"}} {"qa_id": "11655386827740bfa5c590c83d92d817", "image_id": "L3-MazeLoop-test_7x7_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S88, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 137th position in this traversal?", "start_object_id": "S88", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [137], "ordinal_strings": ["137th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "U05", "traversal_path": [{"identifier": "S88", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "J36", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "R22", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "X64", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "O54", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "U94", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "X12", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "D23", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "U05", "position": [3, 1], "step": 8, "ordinal_position": 9}, {"identifier": "R19", "position": [4, 1], "step": 9, "ordinal_position": 10}, {"identifier": "O10", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "O74", "position": [5, 2], "step": 11, "ordinal_position": 12}, {"identifier": "J15", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "M51", "position": [5, 4], "step": 13, "ordinal_position": 14}, {"identifier": "K78", "position": [5, 5], "step": 14, "ordinal_position": 15}, {"identifier": "S65", "position": [4, 5], "step": 15, "ordinal_position": 16}, {"identifier": "S88", "position": [3, 5], "step": 16, "ordinal_position": 17}, {"identifier": "J36", "position": [2, 5], "step": 17, "ordinal_position": 18}, {"identifier": "R22", "position": [1, 5], "step": 18, "ordinal_position": 19}, {"identifier": "X64", "position": [1, 4], "step": 19, "ordinal_position": 20}, {"identifier": "O54", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "U94", "position": [1, 2], "step": 21, "ordinal_position": 22}, {"identifier": "X12", "position": [1, 1], "step": 22, "ordinal_position": 23}, {"identifier": "D23", "position": [2, 1], "step": 23, "ordinal_position": 24}, {"identifier": "U05", "position": [3, 1], "step": 24, "ordinal_position": 25}, {"identifier": "R19", "position": [4, 1], "step": 25, "ordinal_position": 26}, {"identifier": "O10", "position": [5, 1], "step": 26, "ordinal_position": 27}, {"identifier": "O74", "position": [5, 2], "step": 27, "ordinal_position": 28}, {"identifier": "J15", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "M51", "position": [5, 4], "step": 29, "ordinal_position": 30}, {"identifier": "K78", "position": [5, 5], "step": 30, "ordinal_position": 31}, {"identifier": "S65", "position": [4, 5], "step": 31, "ordinal_position": 32}, {"identifier": "S88", "position": [3, 5], "step": 32, "ordinal_position": 33}, {"identifier": "J36", "position": [2, 5], "step": 33, "ordinal_position": 34}, {"identifier": "R22", "position": [1, 5], "step": 34, "ordinal_position": 35}, {"identifier": "X64", "position": [1, 4], "step": 35, "ordinal_position": 36}, {"identifier": "O54", "position": [1, 3], "step": 36, "ordinal_position": 37}, {"identifier": "U94", "position": [1, 2], "step": 37, "ordinal_position": 38}, {"identifier": "X12", "position": [1, 1], "step": 38, "ordinal_position": 39}, {"identifier": "D23", "position": [2, 1], "step": 39, "ordinal_position": 40}, {"identifier": "U05", "position": [3, 1], "step": 40, "ordinal_position": 41}, {"identifier": "R19", "position": [4, 1], "step": 41, "ordinal_position": 42}, {"identifier": "O10", "position": [5, 1], "step": 42, "ordinal_position": 43}, {"identifier": "O74", "position": [5, 2], "step": 43, "ordinal_position": 44}, {"identifier": "J15", "position": [5, 3], "step": 44, "ordinal_position": 45}, {"identifier": "M51", "position": [5, 4], "step": 45, "ordinal_position": 46}, {"identifier": "K78", "position": [5, 5], "step": 46, "ordinal_position": 47}, {"identifier": "S65", "position": [4, 5], "step": 47, "ordinal_position": 48}, {"identifier": "S88", "position": [3, 5], "step": 48, "ordinal_position": 49}, {"identifier": "J36", "position": [2, 5], "step": 49, "ordinal_position": 50}, {"identifier": "R22", "position": [1, 5], "step": 50, "ordinal_position": 51}, {"identifier": "X64", "position": [1, 4], "step": 51, "ordinal_position": 52}, {"identifier": "O54", "position": [1, 3], "step": 52, "ordinal_position": 53}, {"identifier": "U94", "position": [1, 2], "step": 53, "ordinal_position": 54}, {"identifier": "X12", "position": [1, 1], "step": 54, "ordinal_position": 55}, {"identifier": "D23", "position": [2, 1], "step": 55, "ordinal_position": 56}, {"identifier": "U05", "position": [3, 1], "step": 56, "ordinal_position": 57}, {"identifier": "R19", "position": [4, 1], "step": 57, "ordinal_position": 58}, {"identifier": "O10", "position": [5, 1], "step": 58, "ordinal_position": 59}, {"identifier": "O74", "position": [5, 2], "step": 59, "ordinal_position": 60}, {"identifier": "J15", "position": [5, 3], "step": 60, "ordinal_position": 61}, {"identifier": "M51", "position": [5, 4], "step": 61, "ordinal_position": 62}, {"identifier": "K78", "position": [5, 5], "step": 62, "ordinal_position": 63}, {"identifier": "S65", "position": [4, 5], "step": 63, "ordinal_position": 64}, {"identifier": "S88", "position": [3, 5], "step": 64, "ordinal_position": 65}, {"identifier": "J36", "position": [2, 5], "step": 65, "ordinal_position": 66}, {"identifier": "R22", "position": [1, 5], "step": 66, "ordinal_position": 67}, {"identifier": "X64", "position": [1, 4], "step": 67, "ordinal_position": 68}, {"identifier": "O54", "position": [1, 3], "step": 68, "ordinal_position": 69}, {"identifier": "U94", "position": [1, 2], "step": 69, "ordinal_position": 70}, {"identifier": "X12", "position": [1, 1], "step": 70, "ordinal_position": 71}, {"identifier": "D23", "position": [2, 1], "step": 71, "ordinal_position": 72}, {"identifier": "U05", "position": [3, 1], "step": 72, "ordinal_position": 73}, {"identifier": "R19", "position": [4, 1], "step": 73, "ordinal_position": 74}, {"identifier": "O10", "position": [5, 1], "step": 74, "ordinal_position": 75}, {"identifier": "O74", "position": [5, 2], "step": 75, "ordinal_position": 76}, {"identifier": "J15", "position": [5, 3], "step": 76, "ordinal_position": 77}, {"identifier": "M51", "position": [5, 4], "step": 77, "ordinal_position": 78}, {"identifier": "K78", "position": [5, 5], "step": 78, "ordinal_position": 79}, {"identifier": "S65", "position": [4, 5], "step": 79, "ordinal_position": 80}, {"identifier": "S88", "position": [3, 5], "step": 80, "ordinal_position": 81}, {"identifier": "J36", "position": [2, 5], "step": 81, "ordinal_position": 82}, {"identifier": "R22", "position": [1, 5], "step": 82, "ordinal_position": 83}, {"identifier": "X64", "position": [1, 4], "step": 83, "ordinal_position": 84}, {"identifier": "O54", "position": [1, 3], "step": 84, "ordinal_position": 85}, {"identifier": "U94", "position": [1, 2], "step": 85, "ordinal_position": 86}, {"identifier": "X12", "position": [1, 1], "step": 86, "ordinal_position": 87}, {"identifier": "D23", "position": [2, 1], "step": 87, "ordinal_position": 88}, {"identifier": "U05", "position": [3, 1], "step": 88, "ordinal_position": 89}, {"identifier": "R19", "position": [4, 1], "step": 89, "ordinal_position": 90}, {"identifier": "O10", "position": [5, 1], "step": 90, "ordinal_position": 91}, {"identifier": "O74", "position": [5, 2], "step": 91, "ordinal_position": 92}, {"identifier": "J15", "position": [5, 3], "step": 92, "ordinal_position": 93}, {"identifier": "M51", "position": [5, 4], "step": 93, "ordinal_position": 94}, {"identifier": "K78", "position": [5, 5], "step": 94, "ordinal_position": 95}, {"identifier": "S65", "position": [4, 5], "step": 95, "ordinal_position": 96}, {"identifier": "S88", "position": [3, 5], "step": 96, "ordinal_position": 97}, {"identifier": "J36", "position": [2, 5], "step": 97, "ordinal_position": 98}, {"identifier": "R22", "position": [1, 5], "step": 98, "ordinal_position": 99}, {"identifier": "X64", "position": [1, 4], "step": 99, "ordinal_position": 100}, {"identifier": "O54", "position": [1, 3], "step": 100, "ordinal_position": 101}, {"identifier": "U94", "position": [1, 2], "step": 101, "ordinal_position": 102}, {"identifier": "X12", "position": [1, 1], "step": 102, "ordinal_position": 103}, {"identifier": "D23", "position": [2, 1], "step": 103, "ordinal_position": 104}, {"identifier": "U05", "position": [3, 1], "step": 104, "ordinal_position": 105}, {"identifier": "R19", "position": [4, 1], "step": 105, "ordinal_position": 106}, {"identifier": "O10", "position": [5, 1], "step": 106, "ordinal_position": 107}, {"identifier": "O74", "position": [5, 2], "step": 107, "ordinal_position": 108}, {"identifier": "J15", "position": [5, 3], "step": 108, "ordinal_position": 109}, {"identifier": "M51", "position": [5, 4], "step": 109, "ordinal_position": 110}, {"identifier": "K78", "position": [5, 5], "step": 110, "ordinal_position": 111}, {"identifier": "S65", "position": [4, 5], "step": 111, "ordinal_position": 112}, {"identifier": "S88", "position": [3, 5], "step": 112, "ordinal_position": 113}, {"identifier": "J36", "position": [2, 5], "step": 113, "ordinal_position": 114}, {"identifier": "R22", "position": [1, 5], "step": 114, "ordinal_position": 115}, {"identifier": "X64", "position": [1, 4], "step": 115, "ordinal_position": 116}, {"identifier": "O54", "position": [1, 3], "step": 116, "ordinal_position": 117}, {"identifier": "U94", "position": [1, 2], "step": 117, "ordinal_position": 118}, {"identifier": "X12", "position": [1, 1], "step": 118, "ordinal_position": 119}, {"identifier": "D23", "position": [2, 1], "step": 119, "ordinal_position": 120}, {"identifier": "U05", "position": [3, 1], "step": 120, "ordinal_position": 121}, {"identifier": "R19", "position": [4, 1], "step": 121, "ordinal_position": 122}, {"identifier": "O10", "position": [5, 1], "step": 122, "ordinal_position": 123}, {"identifier": "O74", "position": [5, 2], "step": 123, "ordinal_position": 124}, {"identifier": "J15", "position": [5, 3], "step": 124, "ordinal_position": 125}, {"identifier": "M51", "position": [5, 4], "step": 125, "ordinal_position": 126}, {"identifier": "K78", "position": [5, 5], "step": 126, "ordinal_position": 127}, {"identifier": "S65", "position": [4, 5], "step": 127, "ordinal_position": 128}, {"identifier": "S88", "position": [3, 5], "step": 128, "ordinal_position": 129}, {"identifier": "J36", "position": [2, 5], "step": 129, "ordinal_position": 130}, {"identifier": "R22", "position": [1, 5], "step": 130, "ordinal_position": 131}, {"identifier": "X64", "position": [1, 4], "step": 131, "ordinal_position": 132}, {"identifier": "O54", "position": [1, 3], "step": 132, "ordinal_position": 133}, {"identifier": "U94", "position": [1, 2], "step": 133, "ordinal_position": 134}, {"identifier": "X12", "position": [1, 1], "step": 134, "ordinal_position": 135}, {"identifier": "D23", "position": [2, 1], "step": 135, "ordinal_position": 136}, {"identifier": "U05", "position": [3, 1], "step": 136, "ordinal_position": 137}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 137, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_015.json"}} {"qa_id": "4d15006445804e07ba5b23afcb623660", "image_id": "L3-MazeLoop-test_7x7_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D23, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 247th position in this traversal?", "start_object_id": "D23", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [247], "ordinal_strings": ["247th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "M51", "traversal_path": [{"identifier": "D23", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "U05", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "R19", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "O10", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "O74", "position": [5, 2], "step": 4, "ordinal_position": 5}, {"identifier": "J15", "position": [5, 3], "step": 5, "ordinal_position": 6}, {"identifier": "M51", "position": [5, 4], "step": 6, "ordinal_position": 7}, {"identifier": "K78", "position": [5, 5], "step": 7, "ordinal_position": 8}, {"identifier": "S65", "position": [4, 5], "step": 8, "ordinal_position": 9}, {"identifier": "S88", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "J36", "position": [2, 5], "step": 10, "ordinal_position": 11}, {"identifier": "R22", "position": [1, 5], "step": 11, "ordinal_position": 12}, {"identifier": "X64", "position": [1, 4], "step": 12, "ordinal_position": 13}, {"identifier": "O54", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "U94", "position": [1, 2], "step": 14, "ordinal_position": 15}, {"identifier": "X12", "position": [1, 1], "step": 15, "ordinal_position": 16}, {"identifier": "D23", "position": [2, 1], "step": 16, "ordinal_position": 17}, {"identifier": "U05", "position": [3, 1], "step": 17, "ordinal_position": 18}, {"identifier": "R19", "position": [4, 1], "step": 18, "ordinal_position": 19}, {"identifier": "O10", "position": [5, 1], "step": 19, "ordinal_position": 20}, {"identifier": "O74", "position": [5, 2], "step": 20, "ordinal_position": 21}, {"identifier": "J15", "position": [5, 3], "step": 21, "ordinal_position": 22}, {"identifier": "M51", "position": [5, 4], "step": 22, "ordinal_position": 23}, {"identifier": "K78", "position": [5, 5], "step": 23, "ordinal_position": 24}, {"identifier": "S65", "position": [4, 5], "step": 24, "ordinal_position": 25}, {"identifier": "S88", "position": [3, 5], "step": 25, "ordinal_position": 26}, {"identifier": "J36", "position": [2, 5], "step": 26, "ordinal_position": 27}, {"identifier": "R22", "position": [1, 5], "step": 27, "ordinal_position": 28}, {"identifier": "X64", "position": [1, 4], "step": 28, "ordinal_position": 29}, {"identifier": "O54", "position": [1, 3], "step": 29, "ordinal_position": 30}, {"identifier": "U94", "position": [1, 2], "step": 30, "ordinal_position": 31}, {"identifier": "X12", "position": [1, 1], "step": 31, "ordinal_position": 32}, {"identifier": "D23", "position": [2, 1], "step": 32, "ordinal_position": 33}, {"identifier": "U05", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "R19", "position": [4, 1], "step": 34, "ordinal_position": 35}, {"identifier": "O10", "position": [5, 1], "step": 35, "ordinal_position": 36}, {"identifier": "O74", "position": [5, 2], "step": 36, "ordinal_position": 37}, {"identifier": "J15", "position": [5, 3], "step": 37, "ordinal_position": 38}, {"identifier": "M51", "position": [5, 4], "step": 38, "ordinal_position": 39}, {"identifier": "K78", "position": [5, 5], "step": 39, "ordinal_position": 40}, {"identifier": "S65", "position": [4, 5], "step": 40, "ordinal_position": 41}, {"identifier": "S88", "position": [3, 5], "step": 41, "ordinal_position": 42}, {"identifier": "J36", "position": [2, 5], "step": 42, "ordinal_position": 43}, {"identifier": "R22", "position": [1, 5], "step": 43, "ordinal_position": 44}, {"identifier": "X64", "position": [1, 4], "step": 44, "ordinal_position": 45}, {"identifier": "O54", "position": [1, 3], "step": 45, "ordinal_position": 46}, {"identifier": "U94", "position": [1, 2], "step": 46, "ordinal_position": 47}, {"identifier": "X12", "position": [1, 1], "step": 47, "ordinal_position": 48}, {"identifier": "D23", "position": [2, 1], "step": 48, "ordinal_position": 49}, {"identifier": "U05", "position": [3, 1], "step": 49, "ordinal_position": 50}, {"identifier": "R19", "position": [4, 1], "step": 50, "ordinal_position": 51}, {"identifier": "O10", "position": [5, 1], "step": 51, "ordinal_position": 52}, {"identifier": "O74", "position": [5, 2], "step": 52, "ordinal_position": 53}, {"identifier": "J15", "position": [5, 3], "step": 53, "ordinal_position": 54}, {"identifier": "M51", "position": [5, 4], "step": 54, "ordinal_position": 55}, {"identifier": "K78", "position": [5, 5], "step": 55, "ordinal_position": 56}, {"identifier": "S65", "position": [4, 5], "step": 56, "ordinal_position": 57}, {"identifier": "S88", "position": [3, 5], "step": 57, "ordinal_position": 58}, {"identifier": "J36", "position": [2, 5], "step": 58, "ordinal_position": 59}, {"identifier": "R22", "position": [1, 5], "step": 59, "ordinal_position": 60}, {"identifier": "X64", "position": [1, 4], "step": 60, "ordinal_position": 61}, {"identifier": "O54", "position": [1, 3], "step": 61, "ordinal_position": 62}, {"identifier": "U94", "position": [1, 2], "step": 62, "ordinal_position": 63}, {"identifier": "X12", "position": [1, 1], "step": 63, "ordinal_position": 64}, {"identifier": "D23", "position": [2, 1], "step": 64, "ordinal_position": 65}, {"identifier": "U05", "position": [3, 1], "step": 65, "ordinal_position": 66}, {"identifier": "R19", "position": [4, 1], "step": 66, "ordinal_position": 67}, {"identifier": "O10", "position": [5, 1], "step": 67, "ordinal_position": 68}, {"identifier": "O74", "position": [5, 2], "step": 68, "ordinal_position": 69}, {"identifier": "J15", "position": [5, 3], "step": 69, "ordinal_position": 70}, {"identifier": "M51", "position": [5, 4], "step": 70, "ordinal_position": 71}, {"identifier": "K78", "position": [5, 5], "step": 71, "ordinal_position": 72}, {"identifier": "S65", "position": [4, 5], "step": 72, "ordinal_position": 73}, {"identifier": "S88", "position": [3, 5], "step": 73, "ordinal_position": 74}, {"identifier": "J36", "position": [2, 5], "step": 74, "ordinal_position": 75}, {"identifier": "R22", "position": [1, 5], "step": 75, "ordinal_position": 76}, {"identifier": "X64", "position": [1, 4], "step": 76, "ordinal_position": 77}, {"identifier": "O54", "position": [1, 3], "step": 77, "ordinal_position": 78}, {"identifier": "U94", "position": [1, 2], "step": 78, "ordinal_position": 79}, {"identifier": "X12", "position": [1, 1], "step": 79, "ordinal_position": 80}, {"identifier": "D23", "position": [2, 1], "step": 80, "ordinal_position": 81}, {"identifier": "U05", "position": [3, 1], "step": 81, "ordinal_position": 82}, {"identifier": "R19", "position": [4, 1], "step": 82, "ordinal_position": 83}, {"identifier": "O10", "position": [5, 1], "step": 83, "ordinal_position": 84}, {"identifier": "O74", "position": [5, 2], "step": 84, "ordinal_position": 85}, {"identifier": "J15", "position": [5, 3], "step": 85, "ordinal_position": 86}, {"identifier": "M51", "position": [5, 4], "step": 86, "ordinal_position": 87}, {"identifier": "K78", "position": [5, 5], "step": 87, "ordinal_position": 88}, {"identifier": "S65", "position": [4, 5], "step": 88, "ordinal_position": 89}, {"identifier": "S88", "position": [3, 5], "step": 89, "ordinal_position": 90}, {"identifier": "J36", "position": [2, 5], "step": 90, "ordinal_position": 91}, {"identifier": "R22", "position": [1, 5], "step": 91, "ordinal_position": 92}, {"identifier": "X64", "position": [1, 4], "step": 92, "ordinal_position": 93}, {"identifier": "O54", "position": [1, 3], "step": 93, "ordinal_position": 94}, {"identifier": "U94", "position": [1, 2], "step": 94, "ordinal_position": 95}, {"identifier": "X12", "position": [1, 1], "step": 95, "ordinal_position": 96}, {"identifier": "D23", "position": [2, 1], "step": 96, "ordinal_position": 97}, {"identifier": "U05", "position": [3, 1], "step": 97, "ordinal_position": 98}, {"identifier": "R19", "position": [4, 1], "step": 98, "ordinal_position": 99}, {"identifier": "O10", "position": [5, 1], "step": 99, "ordinal_position": 100}, {"identifier": "O74", "position": [5, 2], "step": 100, "ordinal_position": 101}, {"identifier": "J15", "position": [5, 3], "step": 101, "ordinal_position": 102}, {"identifier": "M51", "position": [5, 4], "step": 102, "ordinal_position": 103}, {"identifier": "K78", "position": [5, 5], "step": 103, "ordinal_position": 104}, {"identifier": "S65", "position": [4, 5], "step": 104, "ordinal_position": 105}, {"identifier": "S88", "position": [3, 5], "step": 105, "ordinal_position": 106}, {"identifier": "J36", "position": [2, 5], "step": 106, "ordinal_position": 107}, {"identifier": "R22", "position": [1, 5], "step": 107, "ordinal_position": 108}, {"identifier": "X64", "position": [1, 4], "step": 108, "ordinal_position": 109}, {"identifier": "O54", "position": [1, 3], "step": 109, "ordinal_position": 110}, {"identifier": "U94", "position": [1, 2], "step": 110, "ordinal_position": 111}, {"identifier": "X12", "position": [1, 1], "step": 111, "ordinal_position": 112}, {"identifier": "D23", "position": [2, 1], "step": 112, "ordinal_position": 113}, {"identifier": "U05", "position": [3, 1], "step": 113, "ordinal_position": 114}, {"identifier": "R19", "position": [4, 1], "step": 114, "ordinal_position": 115}, {"identifier": "O10", "position": [5, 1], "step": 115, "ordinal_position": 116}, {"identifier": "O74", "position": [5, 2], "step": 116, "ordinal_position": 117}, {"identifier": "J15", "position": [5, 3], "step": 117, "ordinal_position": 118}, {"identifier": "M51", "position": [5, 4], "step": 118, "ordinal_position": 119}, {"identifier": "K78", "position": [5, 5], "step": 119, "ordinal_position": 120}, {"identifier": "S65", "position": [4, 5], "step": 120, "ordinal_position": 121}, {"identifier": "S88", "position": [3, 5], "step": 121, "ordinal_position": 122}, {"identifier": "J36", "position": [2, 5], "step": 122, "ordinal_position": 123}, {"identifier": "R22", "position": [1, 5], "step": 123, "ordinal_position": 124}, {"identifier": "X64", "position": [1, 4], "step": 124, "ordinal_position": 125}, {"identifier": "O54", "position": [1, 3], "step": 125, "ordinal_position": 126}, {"identifier": "U94", "position": [1, 2], "step": 126, "ordinal_position": 127}, {"identifier": "X12", "position": [1, 1], "step": 127, "ordinal_position": 128}, {"identifier": "D23", "position": [2, 1], "step": 128, "ordinal_position": 129}, {"identifier": "U05", "position": [3, 1], "step": 129, "ordinal_position": 130}, {"identifier": "R19", "position": [4, 1], "step": 130, "ordinal_position": 131}, {"identifier": "O10", "position": [5, 1], "step": 131, "ordinal_position": 132}, {"identifier": "O74", "position": [5, 2], "step": 132, "ordinal_position": 133}, {"identifier": "J15", "position": [5, 3], "step": 133, "ordinal_position": 134}, {"identifier": "M51", "position": [5, 4], "step": 134, "ordinal_position": 135}, {"identifier": "K78", "position": [5, 5], "step": 135, "ordinal_position": 136}, {"identifier": "S65", "position": [4, 5], "step": 136, "ordinal_position": 137}, {"identifier": "S88", "position": [3, 5], "step": 137, "ordinal_position": 138}, {"identifier": "J36", "position": [2, 5], "step": 138, "ordinal_position": 139}, {"identifier": "R22", "position": [1, 5], "step": 139, "ordinal_position": 140}, {"identifier": "X64", "position": [1, 4], "step": 140, "ordinal_position": 141}, {"identifier": "O54", "position": [1, 3], "step": 141, "ordinal_position": 142}, {"identifier": "U94", "position": [1, 2], "step": 142, "ordinal_position": 143}, {"identifier": "X12", "position": [1, 1], "step": 143, "ordinal_position": 144}, {"identifier": "D23", "position": [2, 1], "step": 144, "ordinal_position": 145}, {"identifier": "U05", "position": [3, 1], "step": 145, "ordinal_position": 146}, {"identifier": "R19", "position": [4, 1], "step": 146, "ordinal_position": 147}, {"identifier": "O10", "position": [5, 1], "step": 147, "ordinal_position": 148}, {"identifier": "O74", "position": [5, 2], "step": 148, "ordinal_position": 149}, {"identifier": "J15", "position": [5, 3], "step": 149, "ordinal_position": 150}, {"identifier": "M51", "position": [5, 4], "step": 150, "ordinal_position": 151}, {"identifier": "K78", "position": [5, 5], "step": 151, "ordinal_position": 152}, {"identifier": "S65", "position": [4, 5], "step": 152, "ordinal_position": 153}, {"identifier": "S88", "position": [3, 5], "step": 153, "ordinal_position": 154}, {"identifier": "J36", "position": [2, 5], "step": 154, "ordinal_position": 155}, {"identifier": "R22", "position": [1, 5], "step": 155, "ordinal_position": 156}, {"identifier": "X64", "position": [1, 4], "step": 156, "ordinal_position": 157}, {"identifier": "O54", "position": [1, 3], "step": 157, "ordinal_position": 158}, {"identifier": "U94", "position": [1, 2], "step": 158, "ordinal_position": 159}, {"identifier": "X12", "position": [1, 1], "step": 159, "ordinal_position": 160}, {"identifier": "D23", "position": [2, 1], "step": 160, "ordinal_position": 161}, {"identifier": "U05", "position": [3, 1], "step": 161, "ordinal_position": 162}, {"identifier": "R19", "position": [4, 1], "step": 162, "ordinal_position": 163}, {"identifier": "O10", "position": [5, 1], "step": 163, "ordinal_position": 164}, {"identifier": "O74", "position": [5, 2], "step": 164, "ordinal_position": 165}, {"identifier": "J15", "position": [5, 3], "step": 165, "ordinal_position": 166}, {"identifier": "M51", "position": [5, 4], "step": 166, "ordinal_position": 167}, {"identifier": "K78", "position": [5, 5], "step": 167, "ordinal_position": 168}, {"identifier": "S65", "position": [4, 5], "step": 168, "ordinal_position": 169}, {"identifier": "S88", "position": [3, 5], "step": 169, "ordinal_position": 170}, {"identifier": "J36", "position": [2, 5], "step": 170, "ordinal_position": 171}, {"identifier": "R22", "position": [1, 5], "step": 171, "ordinal_position": 172}, {"identifier": "X64", "position": [1, 4], "step": 172, "ordinal_position": 173}, {"identifier": "O54", "position": [1, 3], "step": 173, "ordinal_position": 174}, {"identifier": "U94", "position": [1, 2], "step": 174, "ordinal_position": 175}, {"identifier": "X12", "position": [1, 1], "step": 175, "ordinal_position": 176}, {"identifier": "D23", "position": [2, 1], "step": 176, "ordinal_position": 177}, {"identifier": "U05", "position": [3, 1], "step": 177, "ordinal_position": 178}, {"identifier": "R19", "position": [4, 1], "step": 178, "ordinal_position": 179}, {"identifier": "O10", "position": [5, 1], "step": 179, "ordinal_position": 180}, {"identifier": "O74", "position": [5, 2], "step": 180, "ordinal_position": 181}, {"identifier": "J15", "position": [5, 3], "step": 181, "ordinal_position": 182}, {"identifier": "M51", "position": [5, 4], "step": 182, "ordinal_position": 183}, {"identifier": "K78", "position": [5, 5], "step": 183, "ordinal_position": 184}, {"identifier": "S65", "position": [4, 5], "step": 184, "ordinal_position": 185}, {"identifier": "S88", "position": [3, 5], "step": 185, "ordinal_position": 186}, {"identifier": "J36", "position": [2, 5], "step": 186, "ordinal_position": 187}, {"identifier": "R22", "position": [1, 5], "step": 187, "ordinal_position": 188}, {"identifier": "X64", "position": [1, 4], "step": 188, "ordinal_position": 189}, {"identifier": "O54", "position": [1, 3], "step": 189, "ordinal_position": 190}, {"identifier": "U94", "position": [1, 2], "step": 190, "ordinal_position": 191}, {"identifier": "X12", "position": [1, 1], "step": 191, "ordinal_position": 192}, {"identifier": "D23", "position": [2, 1], "step": 192, "ordinal_position": 193}, {"identifier": "U05", "position": [3, 1], "step": 193, "ordinal_position": 194}, {"identifier": "R19", "position": [4, 1], "step": 194, "ordinal_position": 195}, {"identifier": "O10", "position": [5, 1], "step": 195, "ordinal_position": 196}, {"identifier": "O74", "position": [5, 2], "step": 196, "ordinal_position": 197}, {"identifier": "J15", "position": [5, 3], "step": 197, "ordinal_position": 198}, {"identifier": "M51", "position": [5, 4], "step": 198, "ordinal_position": 199}, {"identifier": "K78", "position": [5, 5], "step": 199, "ordinal_position": 200}, {"identifier": "S65", "position": [4, 5], "step": 200, "ordinal_position": 201}, {"identifier": "S88", "position": [3, 5], "step": 201, "ordinal_position": 202}, {"identifier": "J36", "position": [2, 5], "step": 202, "ordinal_position": 203}, {"identifier": "R22", "position": [1, 5], "step": 203, "ordinal_position": 204}, {"identifier": "X64", "position": [1, 4], "step": 204, "ordinal_position": 205}, {"identifier": "O54", "position": [1, 3], "step": 205, "ordinal_position": 206}, {"identifier": "U94", "position": [1, 2], "step": 206, "ordinal_position": 207}, {"identifier": "X12", "position": [1, 1], "step": 207, "ordinal_position": 208}, {"identifier": "D23", "position": [2, 1], "step": 208, "ordinal_position": 209}, {"identifier": "U05", "position": [3, 1], "step": 209, "ordinal_position": 210}, {"identifier": "R19", "position": [4, 1], "step": 210, "ordinal_position": 211}, {"identifier": "O10", "position": [5, 1], "step": 211, "ordinal_position": 212}, {"identifier": "O74", "position": [5, 2], "step": 212, "ordinal_position": 213}, {"identifier": "J15", "position": [5, 3], "step": 213, "ordinal_position": 214}, {"identifier": "M51", "position": [5, 4], "step": 214, "ordinal_position": 215}, {"identifier": "K78", "position": [5, 5], "step": 215, "ordinal_position": 216}, {"identifier": "S65", "position": [4, 5], "step": 216, "ordinal_position": 217}, {"identifier": "S88", "position": [3, 5], "step": 217, "ordinal_position": 218}, {"identifier": "J36", "position": [2, 5], "step": 218, "ordinal_position": 219}, {"identifier": "R22", "position": [1, 5], "step": 219, "ordinal_position": 220}, {"identifier": "X64", "position": [1, 4], "step": 220, "ordinal_position": 221}, {"identifier": "O54", "position": [1, 3], "step": 221, "ordinal_position": 222}, {"identifier": "U94", "position": [1, 2], "step": 222, "ordinal_position": 223}, {"identifier": "X12", "position": [1, 1], "step": 223, "ordinal_position": 224}, {"identifier": "D23", "position": [2, 1], "step": 224, "ordinal_position": 225}, {"identifier": "U05", "position": [3, 1], "step": 225, "ordinal_position": 226}, {"identifier": "R19", "position": [4, 1], "step": 226, "ordinal_position": 227}, {"identifier": "O10", "position": [5, 1], "step": 227, "ordinal_position": 228}, {"identifier": "O74", "position": [5, 2], "step": 228, "ordinal_position": 229}, {"identifier": "J15", "position": [5, 3], "step": 229, "ordinal_position": 230}, {"identifier": "M51", "position": [5, 4], "step": 230, "ordinal_position": 231}, {"identifier": "K78", "position": [5, 5], "step": 231, "ordinal_position": 232}, {"identifier": "S65", "position": [4, 5], "step": 232, "ordinal_position": 233}, {"identifier": "S88", "position": [3, 5], "step": 233, "ordinal_position": 234}, {"identifier": "J36", "position": [2, 5], "step": 234, "ordinal_position": 235}, {"identifier": "R22", "position": [1, 5], "step": 235, "ordinal_position": 236}, {"identifier": "X64", "position": [1, 4], "step": 236, "ordinal_position": 237}, {"identifier": "O54", "position": [1, 3], "step": 237, "ordinal_position": 238}, {"identifier": "U94", "position": [1, 2], "step": 238, "ordinal_position": 239}, {"identifier": "X12", "position": [1, 1], "step": 239, "ordinal_position": 240}, {"identifier": "D23", "position": [2, 1], "step": 240, "ordinal_position": 241}, {"identifier": "U05", "position": [3, 1], "step": 241, "ordinal_position": 242}, {"identifier": "R19", "position": [4, 1], "step": 242, "ordinal_position": 243}, {"identifier": "O10", "position": [5, 1], "step": 243, "ordinal_position": 244}, {"identifier": "O74", "position": [5, 2], "step": 244, "ordinal_position": 245}, {"identifier": "J15", "position": [5, 3], "step": 245, "ordinal_position": 246}, {"identifier": "M51", "position": [5, 4], "step": 246, "ordinal_position": 247}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 247, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_015.json"}} {"qa_id": "6438a55ac8df420c9b8db02f7fb19b6e", "image_id": "L3-MazeLoop-test_7x7_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O54, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 125th position in this traversal?", "start_object_id": "O54", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [125], "ordinal_strings": ["125th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "U05", "traversal_path": [{"identifier": "O54", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "X64", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "R22", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "J36", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "S88", "position": [3, 5], "step": 4, "ordinal_position": 5}, {"identifier": "S65", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "K78", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "M51", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "J15", "position": [5, 3], "step": 8, "ordinal_position": 9}, {"identifier": "O74", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "O10", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "R19", "position": [4, 1], "step": 11, "ordinal_position": 12}, {"identifier": "U05", "position": [3, 1], "step": 12, "ordinal_position": 13}, {"identifier": "D23", "position": [2, 1], "step": 13, "ordinal_position": 14}, {"identifier": "X12", "position": [1, 1], "step": 14, "ordinal_position": 15}, {"identifier": "U94", "position": [1, 2], "step": 15, "ordinal_position": 16}, {"identifier": "O54", "position": [1, 3], "step": 16, "ordinal_position": 17}, {"identifier": "X64", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "R22", "position": [1, 5], "step": 18, "ordinal_position": 19}, {"identifier": "J36", "position": [2, 5], "step": 19, "ordinal_position": 20}, {"identifier": "S88", "position": [3, 5], "step": 20, "ordinal_position": 21}, {"identifier": "S65", "position": [4, 5], "step": 21, "ordinal_position": 22}, {"identifier": "K78", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "M51", "position": [5, 4], "step": 23, "ordinal_position": 24}, {"identifier": "J15", "position": [5, 3], "step": 24, "ordinal_position": 25}, {"identifier": "O74", "position": [5, 2], "step": 25, "ordinal_position": 26}, {"identifier": "O10", "position": [5, 1], "step": 26, "ordinal_position": 27}, {"identifier": "R19", "position": [4, 1], "step": 27, "ordinal_position": 28}, {"identifier": "U05", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "D23", "position": [2, 1], "step": 29, "ordinal_position": 30}, {"identifier": "X12", "position": [1, 1], "step": 30, "ordinal_position": 31}, {"identifier": "U94", "position": [1, 2], "step": 31, "ordinal_position": 32}, {"identifier": "O54", "position": [1, 3], "step": 32, "ordinal_position": 33}, {"identifier": "X64", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "R22", "position": [1, 5], "step": 34, "ordinal_position": 35}, {"identifier": "J36", "position": [2, 5], "step": 35, "ordinal_position": 36}, {"identifier": "S88", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "S65", "position": [4, 5], "step": 37, "ordinal_position": 38}, {"identifier": "K78", "position": [5, 5], "step": 38, "ordinal_position": 39}, {"identifier": "M51", "position": [5, 4], "step": 39, "ordinal_position": 40}, {"identifier": "J15", "position": [5, 3], "step": 40, "ordinal_position": 41}, {"identifier": "O74", "position": [5, 2], "step": 41, "ordinal_position": 42}, {"identifier": "O10", "position": [5, 1], "step": 42, "ordinal_position": 43}, {"identifier": "R19", "position": [4, 1], "step": 43, "ordinal_position": 44}, {"identifier": "U05", "position": [3, 1], "step": 44, "ordinal_position": 45}, {"identifier": "D23", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "X12", "position": [1, 1], "step": 46, "ordinal_position": 47}, {"identifier": "U94", "position": [1, 2], "step": 47, "ordinal_position": 48}, {"identifier": "O54", "position": [1, 3], "step": 48, "ordinal_position": 49}, {"identifier": "X64", "position": [1, 4], "step": 49, "ordinal_position": 50}, {"identifier": "R22", "position": [1, 5], "step": 50, "ordinal_position": 51}, {"identifier": "J36", "position": [2, 5], "step": 51, "ordinal_position": 52}, {"identifier": "S88", "position": [3, 5], "step": 52, "ordinal_position": 53}, {"identifier": "S65", "position": [4, 5], "step": 53, "ordinal_position": 54}, {"identifier": "K78", "position": [5, 5], "step": 54, "ordinal_position": 55}, {"identifier": "M51", "position": [5, 4], "step": 55, "ordinal_position": 56}, {"identifier": "J15", "position": [5, 3], "step": 56, "ordinal_position": 57}, {"identifier": "O74", "position": [5, 2], "step": 57, "ordinal_position": 58}, {"identifier": "O10", "position": [5, 1], "step": 58, "ordinal_position": 59}, {"identifier": "R19", "position": [4, 1], "step": 59, "ordinal_position": 60}, {"identifier": "U05", "position": [3, 1], "step": 60, "ordinal_position": 61}, {"identifier": "D23", "position": [2, 1], "step": 61, "ordinal_position": 62}, {"identifier": "X12", "position": [1, 1], "step": 62, "ordinal_position": 63}, {"identifier": "U94", "position": [1, 2], "step": 63, "ordinal_position": 64}, {"identifier": "O54", "position": [1, 3], "step": 64, "ordinal_position": 65}, {"identifier": "X64", "position": [1, 4], "step": 65, "ordinal_position": 66}, {"identifier": "R22", "position": [1, 5], "step": 66, "ordinal_position": 67}, {"identifier": "J36", "position": [2, 5], "step": 67, "ordinal_position": 68}, {"identifier": "S88", "position": [3, 5], "step": 68, "ordinal_position": 69}, {"identifier": "S65", "position": [4, 5], "step": 69, "ordinal_position": 70}, {"identifier": "K78", "position": [5, 5], "step": 70, "ordinal_position": 71}, {"identifier": "M51", "position": [5, 4], "step": 71, "ordinal_position": 72}, {"identifier": "J15", "position": [5, 3], "step": 72, "ordinal_position": 73}, {"identifier": "O74", "position": [5, 2], "step": 73, "ordinal_position": 74}, {"identifier": "O10", "position": [5, 1], "step": 74, "ordinal_position": 75}, {"identifier": "R19", "position": [4, 1], "step": 75, "ordinal_position": 76}, {"identifier": "U05", "position": [3, 1], "step": 76, "ordinal_position": 77}, {"identifier": "D23", "position": [2, 1], "step": 77, "ordinal_position": 78}, {"identifier": "X12", "position": [1, 1], "step": 78, "ordinal_position": 79}, {"identifier": "U94", "position": [1, 2], "step": 79, "ordinal_position": 80}, {"identifier": "O54", "position": [1, 3], "step": 80, "ordinal_position": 81}, {"identifier": "X64", "position": [1, 4], "step": 81, "ordinal_position": 82}, {"identifier": "R22", "position": [1, 5], "step": 82, "ordinal_position": 83}, {"identifier": "J36", "position": [2, 5], "step": 83, "ordinal_position": 84}, {"identifier": "S88", "position": [3, 5], "step": 84, "ordinal_position": 85}, {"identifier": "S65", "position": [4, 5], "step": 85, "ordinal_position": 86}, {"identifier": "K78", "position": [5, 5], "step": 86, "ordinal_position": 87}, {"identifier": "M51", "position": [5, 4], "step": 87, "ordinal_position": 88}, {"identifier": "J15", "position": [5, 3], "step": 88, "ordinal_position": 89}, {"identifier": "O74", "position": [5, 2], "step": 89, "ordinal_position": 90}, {"identifier": "O10", "position": [5, 1], "step": 90, "ordinal_position": 91}, {"identifier": "R19", "position": [4, 1], "step": 91, "ordinal_position": 92}, {"identifier": "U05", "position": [3, 1], "step": 92, "ordinal_position": 93}, {"identifier": "D23", "position": [2, 1], "step": 93, "ordinal_position": 94}, {"identifier": "X12", "position": [1, 1], "step": 94, "ordinal_position": 95}, {"identifier": "U94", "position": [1, 2], "step": 95, "ordinal_position": 96}, {"identifier": "O54", "position": [1, 3], "step": 96, "ordinal_position": 97}, {"identifier": "X64", "position": [1, 4], "step": 97, "ordinal_position": 98}, {"identifier": "R22", "position": [1, 5], "step": 98, "ordinal_position": 99}, {"identifier": "J36", "position": [2, 5], "step": 99, "ordinal_position": 100}, {"identifier": "S88", "position": [3, 5], "step": 100, "ordinal_position": 101}, {"identifier": "S65", "position": [4, 5], "step": 101, "ordinal_position": 102}, {"identifier": "K78", "position": [5, 5], "step": 102, "ordinal_position": 103}, {"identifier": "M51", "position": [5, 4], "step": 103, "ordinal_position": 104}, {"identifier": "J15", "position": [5, 3], "step": 104, "ordinal_position": 105}, {"identifier": "O74", "position": [5, 2], "step": 105, "ordinal_position": 106}, {"identifier": "O10", "position": [5, 1], "step": 106, "ordinal_position": 107}, {"identifier": "R19", "position": [4, 1], "step": 107, "ordinal_position": 108}, {"identifier": "U05", "position": [3, 1], "step": 108, "ordinal_position": 109}, {"identifier": "D23", "position": [2, 1], "step": 109, "ordinal_position": 110}, {"identifier": "X12", "position": [1, 1], "step": 110, "ordinal_position": 111}, {"identifier": "U94", "position": [1, 2], "step": 111, "ordinal_position": 112}, {"identifier": "O54", "position": [1, 3], "step": 112, "ordinal_position": 113}, {"identifier": "X64", "position": [1, 4], "step": 113, "ordinal_position": 114}, {"identifier": "R22", "position": [1, 5], "step": 114, "ordinal_position": 115}, {"identifier": "J36", "position": [2, 5], "step": 115, "ordinal_position": 116}, {"identifier": "S88", "position": [3, 5], "step": 116, "ordinal_position": 117}, {"identifier": "S65", "position": [4, 5], "step": 117, "ordinal_position": 118}, {"identifier": "K78", "position": [5, 5], "step": 118, "ordinal_position": 119}, {"identifier": "M51", "position": [5, 4], "step": 119, "ordinal_position": 120}, {"identifier": "J15", "position": [5, 3], "step": 120, "ordinal_position": 121}, {"identifier": "O74", "position": [5, 2], "step": 121, "ordinal_position": 122}, {"identifier": "O10", "position": [5, 1], "step": 122, "ordinal_position": 123}, {"identifier": "R19", "position": [4, 1], "step": 123, "ordinal_position": 124}, {"identifier": "U05", "position": [3, 1], "step": 124, "ordinal_position": 125}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 125, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_015.json"}} {"qa_id": "8199d0d017344335a73a44b6486e0fb6", "image_id": "L3-MazeLoop-test_7x7_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y66, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "Y66", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "S71", "traversal_path": [{"identifier": "Y66", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "K38", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Y52", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Z84", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "S71", "position": [5, 2], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_016.json"}} {"qa_id": "c3e3674143db40299200506afb1e90d9", "image_id": "L3-MazeLoop-test_7x7_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z67, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "Z67", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "A90", "traversal_path": [{"identifier": "Z67", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "M13", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "A90", "position": [3, 4], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 3, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_016.json"}} {"qa_id": "d7499cc46c55440fa7441b6145825b03", "image_id": "L3-MazeLoop-test_7x7_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A90, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "A90", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Z84", "traversal_path": [{"identifier": "A90", "position": [3, 4], "step": 0, "ordinal_position": 1}, {"identifier": "M13", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "Z67", "position": [3, 2], "step": 2, "ordinal_position": 3}, {"identifier": "K38", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Y52", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Z84", "position": [5, 1], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 6, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_016.json"}} {"qa_id": "d5a4ff3be8af44d9aa80374b4d02fe64", "image_id": "L3-MazeLoop-test_7x7_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K38, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "K38", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "B12", "traversal_path": [{"identifier": "K38", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Y66", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "T03", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Y69", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "G30", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "O81", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "B12", "position": [1, 5], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_016.json"}} {"qa_id": "b70b660cff704468ac16d83c2d990b7c", "image_id": "L3-MazeLoop-test_7x7_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S71, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "S71", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "M70", "traversal_path": [{"identifier": "S71", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "M70", "position": [5, 3], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 2, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_016.json"}} {"qa_id": "04c6e630567a47fc9ab6854d78bc325a", "image_id": "L3-MazeLoop-test_7x7_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M70, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 77th position in this traversal?", "start_object_id": "M70", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [77], "ordinal_strings": ["77th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K38", "traversal_path": [{"identifier": "M70", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "Y82", "position": [5, 4], "step": 1, "ordinal_position": 2}, {"identifier": "A83", "position": [5, 5], "step": 2, "ordinal_position": 3}, {"identifier": "J18", "position": [4, 5], "step": 3, "ordinal_position": 4}, {"identifier": "J02", "position": [3, 5], "step": 4, "ordinal_position": 5}, {"identifier": "M68", "position": [2, 5], "step": 5, "ordinal_position": 6}, {"identifier": "B12", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "O81", "position": [1, 4], "step": 7, "ordinal_position": 8}, {"identifier": "G30", "position": [1, 3], "step": 8, "ordinal_position": 9}, {"identifier": "Y69", "position": [1, 2], "step": 9, "ordinal_position": 10}, {"identifier": "T03", "position": [1, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Y66", "position": [2, 1], "step": 11, "ordinal_position": 12}, {"identifier": "K38", "position": [3, 1], "step": 12, "ordinal_position": 13}, {"identifier": "Y52", "position": [4, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Z84", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "S71", "position": [5, 2], "step": 15, "ordinal_position": 16}, {"identifier": "M70", "position": [5, 3], "step": 16, "ordinal_position": 17}, {"identifier": "Y82", "position": [5, 4], "step": 17, "ordinal_position": 18}, {"identifier": "A83", "position": [5, 5], "step": 18, "ordinal_position": 19}, {"identifier": "J18", "position": [4, 5], "step": 19, "ordinal_position": 20}, {"identifier": "J02", "position": [3, 5], "step": 20, "ordinal_position": 21}, {"identifier": "M68", "position": [2, 5], "step": 21, "ordinal_position": 22}, {"identifier": "B12", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "O81", "position": [1, 4], "step": 23, "ordinal_position": 24}, {"identifier": "G30", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "Y69", "position": [1, 2], "step": 25, "ordinal_position": 26}, {"identifier": "T03", "position": [1, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Y66", "position": [2, 1], "step": 27, "ordinal_position": 28}, {"identifier": "K38", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Y52", "position": [4, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Z84", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "S71", "position": [5, 2], "step": 31, "ordinal_position": 32}, {"identifier": "M70", "position": [5, 3], "step": 32, "ordinal_position": 33}, {"identifier": "Y82", "position": [5, 4], "step": 33, "ordinal_position": 34}, {"identifier": "A83", "position": [5, 5], "step": 34, "ordinal_position": 35}, {"identifier": "J18", "position": [4, 5], "step": 35, "ordinal_position": 36}, {"identifier": "J02", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "M68", "position": [2, 5], "step": 37, "ordinal_position": 38}, {"identifier": "B12", "position": [1, 5], "step": 38, "ordinal_position": 39}, {"identifier": "O81", "position": [1, 4], "step": 39, "ordinal_position": 40}, {"identifier": "G30", "position": [1, 3], "step": 40, "ordinal_position": 41}, {"identifier": "Y69", "position": [1, 2], "step": 41, "ordinal_position": 42}, {"identifier": "T03", "position": [1, 1], "step": 42, "ordinal_position": 43}, {"identifier": "Y66", "position": [2, 1], "step": 43, "ordinal_position": 44}, {"identifier": "K38", "position": [3, 1], "step": 44, "ordinal_position": 45}, {"identifier": "Y52", "position": [4, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Z84", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "S71", "position": [5, 2], "step": 47, "ordinal_position": 48}, {"identifier": "M70", "position": [5, 3], "step": 48, "ordinal_position": 49}, {"identifier": "Y82", "position": [5, 4], "step": 49, "ordinal_position": 50}, {"identifier": "A83", "position": [5, 5], "step": 50, "ordinal_position": 51}, {"identifier": "J18", "position": [4, 5], "step": 51, "ordinal_position": 52}, {"identifier": "J02", "position": [3, 5], "step": 52, "ordinal_position": 53}, {"identifier": "M68", "position": [2, 5], "step": 53, "ordinal_position": 54}, {"identifier": "B12", "position": [1, 5], "step": 54, "ordinal_position": 55}, {"identifier": "O81", "position": [1, 4], "step": 55, "ordinal_position": 56}, {"identifier": "G30", "position": [1, 3], "step": 56, "ordinal_position": 57}, {"identifier": "Y69", "position": [1, 2], "step": 57, "ordinal_position": 58}, {"identifier": "T03", "position": [1, 1], "step": 58, "ordinal_position": 59}, {"identifier": "Y66", "position": [2, 1], "step": 59, "ordinal_position": 60}, {"identifier": "K38", "position": [3, 1], "step": 60, "ordinal_position": 61}, {"identifier": "Y52", "position": [4, 1], "step": 61, "ordinal_position": 62}, {"identifier": "Z84", "position": [5, 1], "step": 62, "ordinal_position": 63}, {"identifier": "S71", "position": [5, 2], "step": 63, "ordinal_position": 64}, {"identifier": "M70", "position": [5, 3], "step": 64, "ordinal_position": 65}, {"identifier": "Y82", "position": [5, 4], "step": 65, "ordinal_position": 66}, {"identifier": "A83", "position": [5, 5], "step": 66, "ordinal_position": 67}, {"identifier": "J18", "position": [4, 5], "step": 67, "ordinal_position": 68}, {"identifier": "J02", "position": [3, 5], "step": 68, "ordinal_position": 69}, {"identifier": "M68", "position": [2, 5], "step": 69, "ordinal_position": 70}, {"identifier": "B12", "position": [1, 5], "step": 70, "ordinal_position": 71}, {"identifier": "O81", "position": [1, 4], "step": 71, "ordinal_position": 72}, {"identifier": "G30", "position": [1, 3], "step": 72, "ordinal_position": 73}, {"identifier": "Y69", "position": [1, 2], "step": 73, "ordinal_position": 74}, {"identifier": "T03", "position": [1, 1], "step": 74, "ordinal_position": 75}, {"identifier": "Y66", "position": [2, 1], "step": 75, "ordinal_position": 76}, {"identifier": "K38", "position": [3, 1], "step": 76, "ordinal_position": 77}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 77, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_016.json"}} {"qa_id": "e96236327a28451184731f8c86d2fac6", "image_id": "L3-MazeLoop-test_7x7_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z67, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 10th position in this traversal?", "start_object_id": "Z67", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [10], "ordinal_strings": ["10th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "J02", "traversal_path": [{"identifier": "Z67", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "K38", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Y66", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "T03", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Y69", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "G30", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "O81", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "B12", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "M68", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "J02", "position": [3, 5], "step": 9, "ordinal_position": 10}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 10, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_016.json"}} {"qa_id": "d8860b863c7449bb87b4e790bbadda25", "image_id": "L3-MazeLoop-test_7x7_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B12, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 63rd position in this traversal?", "start_object_id": "B12", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [63], "ordinal_strings": ["63rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "J02", "traversal_path": [{"identifier": "B12", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "O81", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "G30", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "Y69", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "T03", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Y66", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "K38", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Y52", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "Z84", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "S71", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "M70", "position": [5, 3], "step": 10, "ordinal_position": 11}, {"identifier": "Y82", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "A83", "position": [5, 5], "step": 12, "ordinal_position": 13}, {"identifier": "J18", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "J02", "position": [3, 5], "step": 14, "ordinal_position": 15}, {"identifier": "M68", "position": [2, 5], "step": 15, "ordinal_position": 16}, {"identifier": "B12", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "O81", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "G30", "position": [1, 3], "step": 18, "ordinal_position": 19}, {"identifier": "Y69", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "T03", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Y66", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "K38", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Y52", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "Z84", "position": [5, 1], "step": 24, "ordinal_position": 25}, {"identifier": "S71", "position": [5, 2], "step": 25, "ordinal_position": 26}, {"identifier": "M70", "position": [5, 3], "step": 26, "ordinal_position": 27}, {"identifier": "Y82", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "A83", "position": [5, 5], "step": 28, "ordinal_position": 29}, {"identifier": "J18", "position": [4, 5], "step": 29, "ordinal_position": 30}, {"identifier": "J02", "position": [3, 5], "step": 30, "ordinal_position": 31}, {"identifier": "M68", "position": [2, 5], "step": 31, "ordinal_position": 32}, {"identifier": "B12", "position": [1, 5], "step": 32, "ordinal_position": 33}, {"identifier": "O81", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "G30", "position": [1, 3], "step": 34, "ordinal_position": 35}, {"identifier": "Y69", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "T03", "position": [1, 1], "step": 36, "ordinal_position": 37}, {"identifier": "Y66", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "K38", "position": [3, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Y52", "position": [4, 1], "step": 39, "ordinal_position": 40}, {"identifier": "Z84", "position": [5, 1], "step": 40, "ordinal_position": 41}, {"identifier": "S71", "position": [5, 2], "step": 41, "ordinal_position": 42}, {"identifier": "M70", "position": [5, 3], "step": 42, "ordinal_position": 43}, {"identifier": "Y82", "position": [5, 4], "step": 43, "ordinal_position": 44}, {"identifier": "A83", "position": [5, 5], "step": 44, "ordinal_position": 45}, {"identifier": "J18", "position": [4, 5], "step": 45, "ordinal_position": 46}, {"identifier": "J02", "position": [3, 5], "step": 46, "ordinal_position": 47}, {"identifier": "M68", "position": [2, 5], "step": 47, "ordinal_position": 48}, {"identifier": "B12", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "O81", "position": [1, 4], "step": 49, "ordinal_position": 50}, {"identifier": "G30", "position": [1, 3], "step": 50, "ordinal_position": 51}, {"identifier": "Y69", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "T03", "position": [1, 1], "step": 52, "ordinal_position": 53}, {"identifier": "Y66", "position": [2, 1], "step": 53, "ordinal_position": 54}, {"identifier": "K38", "position": [3, 1], "step": 54, "ordinal_position": 55}, {"identifier": "Y52", "position": [4, 1], "step": 55, "ordinal_position": 56}, {"identifier": "Z84", "position": [5, 1], "step": 56, "ordinal_position": 57}, {"identifier": "S71", "position": [5, 2], "step": 57, "ordinal_position": 58}, {"identifier": "M70", "position": [5, 3], "step": 58, "ordinal_position": 59}, {"identifier": "Y82", "position": [5, 4], "step": 59, "ordinal_position": 60}, {"identifier": "A83", "position": [5, 5], "step": 60, "ordinal_position": 61}, {"identifier": "J18", "position": [4, 5], "step": 61, "ordinal_position": 62}, {"identifier": "J02", "position": [3, 5], "step": 62, "ordinal_position": 63}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 63, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_016.json"}} {"qa_id": "1aba1610d8874c939aed4f40502042eb", "image_id": "L3-MazeLoop-test_7x7_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O81, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 51st position in this traversal?", "start_object_id": "O81", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [51], "ordinal_strings": ["51st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Y69", "traversal_path": [{"identifier": "O81", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "G30", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "Y69", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "T03", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Y66", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "K38", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Y52", "position": [4, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Z84", "position": [5, 1], "step": 7, "ordinal_position": 8}, {"identifier": "S71", "position": [5, 2], "step": 8, "ordinal_position": 9}, {"identifier": "M70", "position": [5, 3], "step": 9, "ordinal_position": 10}, {"identifier": "Y82", "position": [5, 4], "step": 10, "ordinal_position": 11}, {"identifier": "A83", "position": [5, 5], "step": 11, "ordinal_position": 12}, {"identifier": "J18", "position": [4, 5], "step": 12, "ordinal_position": 13}, {"identifier": "J02", "position": [3, 5], "step": 13, "ordinal_position": 14}, {"identifier": "M68", "position": [2, 5], "step": 14, "ordinal_position": 15}, {"identifier": "B12", "position": [1, 5], "step": 15, "ordinal_position": 16}, {"identifier": "O81", "position": [1, 4], "step": 16, "ordinal_position": 17}, {"identifier": "G30", "position": [1, 3], "step": 17, "ordinal_position": 18}, {"identifier": "Y69", "position": [1, 2], "step": 18, "ordinal_position": 19}, {"identifier": "T03", "position": [1, 1], "step": 19, "ordinal_position": 20}, {"identifier": "Y66", "position": [2, 1], "step": 20, "ordinal_position": 21}, {"identifier": "K38", "position": [3, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Y52", "position": [4, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Z84", "position": [5, 1], "step": 23, "ordinal_position": 24}, {"identifier": "S71", "position": [5, 2], "step": 24, "ordinal_position": 25}, {"identifier": "M70", "position": [5, 3], "step": 25, "ordinal_position": 26}, {"identifier": "Y82", "position": [5, 4], "step": 26, "ordinal_position": 27}, {"identifier": "A83", "position": [5, 5], "step": 27, "ordinal_position": 28}, {"identifier": "J18", "position": [4, 5], "step": 28, "ordinal_position": 29}, {"identifier": "J02", "position": [3, 5], "step": 29, "ordinal_position": 30}, {"identifier": "M68", "position": [2, 5], "step": 30, "ordinal_position": 31}, {"identifier": "B12", "position": [1, 5], "step": 31, "ordinal_position": 32}, {"identifier": "O81", "position": [1, 4], "step": 32, "ordinal_position": 33}, {"identifier": "G30", "position": [1, 3], "step": 33, "ordinal_position": 34}, {"identifier": "Y69", "position": [1, 2], "step": 34, "ordinal_position": 35}, {"identifier": "T03", "position": [1, 1], "step": 35, "ordinal_position": 36}, {"identifier": "Y66", "position": [2, 1], "step": 36, "ordinal_position": 37}, {"identifier": "K38", "position": [3, 1], "step": 37, "ordinal_position": 38}, {"identifier": "Y52", "position": [4, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Z84", "position": [5, 1], "step": 39, "ordinal_position": 40}, {"identifier": "S71", "position": [5, 2], "step": 40, "ordinal_position": 41}, {"identifier": "M70", "position": [5, 3], "step": 41, "ordinal_position": 42}, {"identifier": "Y82", "position": [5, 4], "step": 42, "ordinal_position": 43}, {"identifier": "A83", "position": [5, 5], "step": 43, "ordinal_position": 44}, {"identifier": "J18", "position": [4, 5], "step": 44, "ordinal_position": 45}, {"identifier": "J02", "position": [3, 5], "step": 45, "ordinal_position": 46}, {"identifier": "M68", "position": [2, 5], "step": 46, "ordinal_position": 47}, {"identifier": "B12", "position": [1, 5], "step": 47, "ordinal_position": 48}, {"identifier": "O81", "position": [1, 4], "step": 48, "ordinal_position": 49}, {"identifier": "G30", "position": [1, 3], "step": 49, "ordinal_position": 50}, {"identifier": "Y69", "position": [1, 2], "step": 50, "ordinal_position": 51}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 51, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_016.json"}} {"qa_id": "2d65ff31c1ec4641b9b34f89470a1d5c", "image_id": "L3-MazeLoop-test_7x7_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M70, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 71st position in this traversal?", "start_object_id": "M70", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [71], "ordinal_strings": ["71st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "B12", "traversal_path": [{"identifier": "M70", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "Y82", "position": [5, 4], "step": 1, "ordinal_position": 2}, {"identifier": "A83", "position": [5, 5], "step": 2, "ordinal_position": 3}, {"identifier": "J18", "position": [4, 5], "step": 3, "ordinal_position": 4}, {"identifier": "J02", "position": [3, 5], "step": 4, "ordinal_position": 5}, {"identifier": "M68", "position": [2, 5], "step": 5, "ordinal_position": 6}, {"identifier": "B12", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "O81", "position": [1, 4], "step": 7, "ordinal_position": 8}, {"identifier": "G30", "position": [1, 3], "step": 8, "ordinal_position": 9}, {"identifier": "Y69", "position": [1, 2], "step": 9, "ordinal_position": 10}, {"identifier": "T03", "position": [1, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Y66", "position": [2, 1], "step": 11, "ordinal_position": 12}, {"identifier": "K38", "position": [3, 1], "step": 12, "ordinal_position": 13}, {"identifier": "Y52", "position": [4, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Z84", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "S71", "position": [5, 2], "step": 15, "ordinal_position": 16}, {"identifier": "M70", "position": [5, 3], "step": 16, "ordinal_position": 17}, {"identifier": "Y82", "position": [5, 4], "step": 17, "ordinal_position": 18}, {"identifier": "A83", "position": [5, 5], "step": 18, "ordinal_position": 19}, {"identifier": "J18", "position": [4, 5], "step": 19, "ordinal_position": 20}, {"identifier": "J02", "position": [3, 5], "step": 20, "ordinal_position": 21}, {"identifier": "M68", "position": [2, 5], "step": 21, "ordinal_position": 22}, {"identifier": "B12", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "O81", "position": [1, 4], "step": 23, "ordinal_position": 24}, {"identifier": "G30", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "Y69", "position": [1, 2], "step": 25, "ordinal_position": 26}, {"identifier": "T03", "position": [1, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Y66", "position": [2, 1], "step": 27, "ordinal_position": 28}, {"identifier": "K38", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Y52", "position": [4, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Z84", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "S71", "position": [5, 2], "step": 31, "ordinal_position": 32}, {"identifier": "M70", "position": [5, 3], "step": 32, "ordinal_position": 33}, {"identifier": "Y82", "position": [5, 4], "step": 33, "ordinal_position": 34}, {"identifier": "A83", "position": [5, 5], "step": 34, "ordinal_position": 35}, {"identifier": "J18", "position": [4, 5], "step": 35, "ordinal_position": 36}, {"identifier": "J02", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "M68", "position": [2, 5], "step": 37, "ordinal_position": 38}, {"identifier": "B12", "position": [1, 5], "step": 38, "ordinal_position": 39}, {"identifier": "O81", "position": [1, 4], "step": 39, "ordinal_position": 40}, {"identifier": "G30", "position": [1, 3], "step": 40, "ordinal_position": 41}, {"identifier": "Y69", "position": [1, 2], "step": 41, "ordinal_position": 42}, {"identifier": "T03", "position": [1, 1], "step": 42, "ordinal_position": 43}, {"identifier": "Y66", "position": [2, 1], "step": 43, "ordinal_position": 44}, {"identifier": "K38", "position": [3, 1], "step": 44, "ordinal_position": 45}, {"identifier": "Y52", "position": [4, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Z84", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "S71", "position": [5, 2], "step": 47, "ordinal_position": 48}, {"identifier": "M70", "position": [5, 3], "step": 48, "ordinal_position": 49}, {"identifier": "Y82", "position": [5, 4], "step": 49, "ordinal_position": 50}, {"identifier": "A83", "position": [5, 5], "step": 50, "ordinal_position": 51}, {"identifier": "J18", "position": [4, 5], "step": 51, "ordinal_position": 52}, {"identifier": "J02", "position": [3, 5], "step": 52, "ordinal_position": 53}, {"identifier": "M68", "position": [2, 5], "step": 53, "ordinal_position": 54}, {"identifier": "B12", "position": [1, 5], "step": 54, "ordinal_position": 55}, {"identifier": "O81", "position": [1, 4], "step": 55, "ordinal_position": 56}, {"identifier": "G30", "position": [1, 3], "step": 56, "ordinal_position": 57}, {"identifier": "Y69", "position": [1, 2], "step": 57, "ordinal_position": 58}, {"identifier": "T03", "position": [1, 1], "step": 58, "ordinal_position": 59}, {"identifier": "Y66", "position": [2, 1], "step": 59, "ordinal_position": 60}, {"identifier": "K38", "position": [3, 1], "step": 60, "ordinal_position": 61}, {"identifier": "Y52", "position": [4, 1], "step": 61, "ordinal_position": 62}, {"identifier": "Z84", "position": [5, 1], "step": 62, "ordinal_position": 63}, {"identifier": "S71", "position": [5, 2], "step": 63, "ordinal_position": 64}, {"identifier": "M70", "position": [5, 3], "step": 64, "ordinal_position": 65}, {"identifier": "Y82", "position": [5, 4], "step": 65, "ordinal_position": 66}, {"identifier": "A83", "position": [5, 5], "step": 66, "ordinal_position": 67}, {"identifier": "J18", "position": [4, 5], "step": 67, "ordinal_position": 68}, {"identifier": "J02", "position": [3, 5], "step": 68, "ordinal_position": 69}, {"identifier": "M68", "position": [2, 5], "step": 69, "ordinal_position": 70}, {"identifier": "B12", "position": [1, 5], "step": 70, "ordinal_position": 71}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 71, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_016.json"}} {"qa_id": "5a67a1c7ebb64233bf813d7c4c6db562", "image_id": "L3-MazeLoop-test_7x7_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M68, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 120th position in this traversal?", "start_object_id": "M68", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [120], "ordinal_strings": ["120th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K38", "traversal_path": [{"identifier": "M68", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "B12", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "O81", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "G30", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "Y69", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "T03", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Y66", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "K38", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "Y52", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Z84", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "S71", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "M70", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "Y82", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "A83", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "J18", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "J02", "position": [3, 5], "step": 15, "ordinal_position": 16}, {"identifier": "M68", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "B12", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "O81", "position": [1, 4], "step": 18, "ordinal_position": 19}, {"identifier": "G30", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "Y69", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "T03", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Y66", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "K38", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "Y52", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "Z84", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "S71", "position": [5, 2], "step": 26, "ordinal_position": 27}, {"identifier": "M70", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "Y82", "position": [5, 4], "step": 28, "ordinal_position": 29}, {"identifier": "A83", "position": [5, 5], "step": 29, "ordinal_position": 30}, {"identifier": "J18", "position": [4, 5], "step": 30, "ordinal_position": 31}, {"identifier": "J02", "position": [3, 5], "step": 31, "ordinal_position": 32}, {"identifier": "M68", "position": [2, 5], "step": 32, "ordinal_position": 33}, {"identifier": "B12", "position": [1, 5], "step": 33, "ordinal_position": 34}, {"identifier": "O81", "position": [1, 4], "step": 34, "ordinal_position": 35}, {"identifier": "G30", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "Y69", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "T03", "position": [1, 1], "step": 37, "ordinal_position": 38}, {"identifier": "Y66", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "K38", "position": [3, 1], "step": 39, "ordinal_position": 40}, {"identifier": "Y52", "position": [4, 1], "step": 40, "ordinal_position": 41}, {"identifier": "Z84", "position": [5, 1], "step": 41, "ordinal_position": 42}, {"identifier": "S71", "position": [5, 2], "step": 42, "ordinal_position": 43}, {"identifier": "M70", "position": [5, 3], "step": 43, "ordinal_position": 44}, {"identifier": "Y82", "position": [5, 4], "step": 44, "ordinal_position": 45}, {"identifier": "A83", "position": [5, 5], "step": 45, "ordinal_position": 46}, {"identifier": "J18", "position": [4, 5], "step": 46, "ordinal_position": 47}, {"identifier": "J02", "position": [3, 5], "step": 47, "ordinal_position": 48}, {"identifier": "M68", "position": [2, 5], "step": 48, "ordinal_position": 49}, {"identifier": "B12", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "O81", "position": [1, 4], "step": 50, "ordinal_position": 51}, {"identifier": "G30", "position": [1, 3], "step": 51, "ordinal_position": 52}, {"identifier": "Y69", "position": [1, 2], "step": 52, "ordinal_position": 53}, {"identifier": "T03", "position": [1, 1], "step": 53, "ordinal_position": 54}, {"identifier": "Y66", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "K38", "position": [3, 1], "step": 55, "ordinal_position": 56}, {"identifier": "Y52", "position": [4, 1], "step": 56, "ordinal_position": 57}, {"identifier": "Z84", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "S71", "position": [5, 2], "step": 58, "ordinal_position": 59}, {"identifier": "M70", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "Y82", "position": [5, 4], "step": 60, "ordinal_position": 61}, {"identifier": "A83", "position": [5, 5], "step": 61, "ordinal_position": 62}, {"identifier": "J18", "position": [4, 5], "step": 62, "ordinal_position": 63}, {"identifier": "J02", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "M68", "position": [2, 5], "step": 64, "ordinal_position": 65}, {"identifier": "B12", "position": [1, 5], "step": 65, "ordinal_position": 66}, {"identifier": "O81", "position": [1, 4], "step": 66, "ordinal_position": 67}, {"identifier": "G30", "position": [1, 3], "step": 67, "ordinal_position": 68}, {"identifier": "Y69", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "T03", "position": [1, 1], "step": 69, "ordinal_position": 70}, {"identifier": "Y66", "position": [2, 1], "step": 70, "ordinal_position": 71}, {"identifier": "K38", "position": [3, 1], "step": 71, "ordinal_position": 72}, {"identifier": "Y52", "position": [4, 1], "step": 72, "ordinal_position": 73}, {"identifier": "Z84", "position": [5, 1], "step": 73, "ordinal_position": 74}, {"identifier": "S71", "position": [5, 2], "step": 74, "ordinal_position": 75}, {"identifier": "M70", "position": [5, 3], "step": 75, "ordinal_position": 76}, {"identifier": "Y82", "position": [5, 4], "step": 76, "ordinal_position": 77}, {"identifier": "A83", "position": [5, 5], "step": 77, "ordinal_position": 78}, {"identifier": "J18", "position": [4, 5], "step": 78, "ordinal_position": 79}, {"identifier": "J02", "position": [3, 5], "step": 79, "ordinal_position": 80}, {"identifier": "M68", "position": [2, 5], "step": 80, "ordinal_position": 81}, {"identifier": "B12", "position": [1, 5], "step": 81, "ordinal_position": 82}, {"identifier": "O81", "position": [1, 4], "step": 82, "ordinal_position": 83}, {"identifier": "G30", "position": [1, 3], "step": 83, "ordinal_position": 84}, {"identifier": "Y69", "position": [1, 2], "step": 84, "ordinal_position": 85}, {"identifier": "T03", "position": [1, 1], "step": 85, "ordinal_position": 86}, {"identifier": "Y66", "position": [2, 1], "step": 86, "ordinal_position": 87}, {"identifier": "K38", "position": [3, 1], "step": 87, "ordinal_position": 88}, {"identifier": "Y52", "position": [4, 1], "step": 88, "ordinal_position": 89}, {"identifier": "Z84", "position": [5, 1], "step": 89, "ordinal_position": 90}, {"identifier": "S71", "position": [5, 2], "step": 90, "ordinal_position": 91}, {"identifier": "M70", "position": [5, 3], "step": 91, "ordinal_position": 92}, {"identifier": "Y82", "position": [5, 4], "step": 92, "ordinal_position": 93}, {"identifier": "A83", "position": [5, 5], "step": 93, "ordinal_position": 94}, {"identifier": "J18", "position": [4, 5], "step": 94, "ordinal_position": 95}, {"identifier": "J02", "position": [3, 5], "step": 95, "ordinal_position": 96}, {"identifier": "M68", "position": [2, 5], "step": 96, "ordinal_position": 97}, {"identifier": "B12", "position": [1, 5], "step": 97, "ordinal_position": 98}, {"identifier": "O81", "position": [1, 4], "step": 98, "ordinal_position": 99}, {"identifier": "G30", "position": [1, 3], "step": 99, "ordinal_position": 100}, {"identifier": "Y69", "position": [1, 2], "step": 100, "ordinal_position": 101}, {"identifier": "T03", "position": [1, 1], "step": 101, "ordinal_position": 102}, {"identifier": "Y66", "position": [2, 1], "step": 102, "ordinal_position": 103}, {"identifier": "K38", "position": [3, 1], "step": 103, "ordinal_position": 104}, {"identifier": "Y52", "position": [4, 1], "step": 104, "ordinal_position": 105}, {"identifier": "Z84", "position": [5, 1], "step": 105, "ordinal_position": 106}, {"identifier": "S71", "position": [5, 2], "step": 106, "ordinal_position": 107}, {"identifier": "M70", "position": [5, 3], "step": 107, "ordinal_position": 108}, {"identifier": "Y82", "position": [5, 4], "step": 108, "ordinal_position": 109}, {"identifier": "A83", "position": [5, 5], "step": 109, "ordinal_position": 110}, {"identifier": "J18", "position": [4, 5], "step": 110, "ordinal_position": 111}, {"identifier": "J02", "position": [3, 5], "step": 111, "ordinal_position": 112}, {"identifier": "M68", "position": [2, 5], "step": 112, "ordinal_position": 113}, {"identifier": "B12", "position": [1, 5], "step": 113, "ordinal_position": 114}, {"identifier": "O81", "position": [1, 4], "step": 114, "ordinal_position": 115}, {"identifier": "G30", "position": [1, 3], "step": 115, "ordinal_position": 116}, {"identifier": "Y69", "position": [1, 2], "step": 116, "ordinal_position": 117}, {"identifier": "T03", "position": [1, 1], "step": 117, "ordinal_position": 118}, {"identifier": "Y66", "position": [2, 1], "step": 118, "ordinal_position": 119}, {"identifier": "K38", "position": [3, 1], "step": 119, "ordinal_position": 120}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 120, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_016.json"}} {"qa_id": "e5677f43da2a478fa7e29f18d06441ae", "image_id": "L3-MazeLoop-test_7x7_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y52, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 271st position in this traversal?", "start_object_id": "Y52", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [271], "ordinal_strings": ["271st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Y66", "traversal_path": [{"identifier": "Y52", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Z84", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "S71", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "M70", "position": [5, 3], "step": 3, "ordinal_position": 4}, {"identifier": "Y82", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "A83", "position": [5, 5], "step": 5, "ordinal_position": 6}, {"identifier": "J18", "position": [4, 5], "step": 6, "ordinal_position": 7}, {"identifier": "J02", "position": [3, 5], "step": 7, "ordinal_position": 8}, {"identifier": "M68", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "B12", "position": [1, 5], "step": 9, "ordinal_position": 10}, {"identifier": "O81", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "G30", "position": [1, 3], "step": 11, "ordinal_position": 12}, {"identifier": "Y69", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "T03", "position": [1, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Y66", "position": [2, 1], "step": 14, "ordinal_position": 15}, {"identifier": "K38", "position": [3, 1], "step": 15, "ordinal_position": 16}, {"identifier": "Y52", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "Z84", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "S71", "position": [5, 2], "step": 18, "ordinal_position": 19}, {"identifier": "M70", "position": [5, 3], "step": 19, "ordinal_position": 20}, {"identifier": "Y82", "position": [5, 4], "step": 20, "ordinal_position": 21}, {"identifier": "A83", "position": [5, 5], "step": 21, 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257, "ordinal_position": 258}, {"identifier": "S71", "position": [5, 2], "step": 258, "ordinal_position": 259}, {"identifier": "M70", "position": [5, 3], "step": 259, "ordinal_position": 260}, {"identifier": "Y82", "position": [5, 4], "step": 260, "ordinal_position": 261}, {"identifier": "A83", "position": [5, 5], "step": 261, "ordinal_position": 262}, {"identifier": "J18", "position": [4, 5], "step": 262, "ordinal_position": 263}, {"identifier": "J02", "position": [3, 5], "step": 263, "ordinal_position": 264}, {"identifier": "M68", "position": [2, 5], "step": 264, "ordinal_position": 265}, {"identifier": "B12", "position": [1, 5], "step": 265, "ordinal_position": 266}, {"identifier": "O81", "position": [1, 4], "step": 266, "ordinal_position": 267}, {"identifier": "G30", "position": [1, 3], "step": 267, "ordinal_position": 268}, {"identifier": "Y69", "position": [1, 2], "step": 268, "ordinal_position": 269}, {"identifier": "T03", "position": [1, 1], "step": 269, "ordinal_position": 270}, {"identifier": "Y66", "position": [2, 1], "step": 270, "ordinal_position": 271}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 271, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_016.json"}} {"qa_id": "8916ee15a4674b6aa6a8c5b4d398cbe9", "image_id": "L3-MazeLoop-test_7x7_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z84, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 153rd position in this traversal?", "start_object_id": "Z84", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [153], "ordinal_strings": ["153rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "B12", "traversal_path": [{"identifier": "Z84", "position": [5, 1], "step": 0, "ordinal_position": 1}, {"identifier": "S71", "position": [5, 2], "step": 1, "ordinal_position": 2}, {"identifier": "M70", "position": [5, 3], "step": 2, "ordinal_position": 3}, {"identifier": "Y82", "position": [5, 4], "step": 3, "ordinal_position": 4}, {"identifier": "A83", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "J18", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "J02", "position": [3, 5], "step": 6, "ordinal_position": 7}, {"identifier": "M68", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "B12", "position": [1, 5], "step": 8, "ordinal_position": 9}, {"identifier": "O81", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "G30", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "Y69", "position": [1, 2], "step": 11, "ordinal_position": 12}, {"identifier": "T03", "position": [1, 1], "step": 12, "ordinal_position": 13}, {"identifier": "Y66", "position": [2, 1], "step": 13, "ordinal_position": 14}, {"identifier": "K38", "position": [3, 1], "step": 14, "ordinal_position": 15}, {"identifier": "Y52", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "Z84", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "S71", "position": [5, 2], "step": 17, "ordinal_position": 18}, {"identifier": "M70", "position": [5, 3], "step": 18, "ordinal_position": 19}, {"identifier": "Y82", "position": [5, 4], "step": 19, "ordinal_position": 20}, {"identifier": "A83", "position": [5, 5], "step": 20, "ordinal_position": 21}, {"identifier": "J18", "position": [4, 5], "step": 21, "ordinal_position": 22}, {"identifier": "J02", "position": [3, 5], "step": 22, "ordinal_position": 23}, {"identifier": "M68", "position": [2, 5], "step": 23, "ordinal_position": 24}, {"identifier": "B12", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "O81", "position": [1, 4], "step": 25, "ordinal_position": 26}, {"identifier": "G30", "position": [1, 3], "step": 26, "ordinal_position": 27}, {"identifier": "Y69", "position": [1, 2], "step": 27, "ordinal_position": 28}, {"identifier": "T03", "position": [1, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Y66", "position": [2, 1], "step": 29, "ordinal_position": 30}, {"identifier": "K38", "position": [3, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Y52", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "Z84", "position": [5, 1], "step": 32, "ordinal_position": 33}, {"identifier": "S71", "position": [5, 2], "step": 33, "ordinal_position": 34}, {"identifier": "M70", "position": [5, 3], "step": 34, "ordinal_position": 35}, {"identifier": "Y82", "position": [5, 4], "step": 35, "ordinal_position": 36}, {"identifier": "A83", "position": [5, 5], "step": 36, "ordinal_position": 37}, {"identifier": "J18", "position": [4, 5], "step": 37, "ordinal_position": 38}, {"identifier": "J02", "position": [3, 5], "step": 38, "ordinal_position": 39}, {"identifier": "M68", "position": [2, 5], "step": 39, "ordinal_position": 40}, {"identifier": "B12", "position": [1, 5], "step": 40, "ordinal_position": 41}, {"identifier": "O81", "position": [1, 4], "step": 41, "ordinal_position": 42}, {"identifier": "G30", "position": [1, 3], "step": 42, "ordinal_position": 43}, {"identifier": "Y69", "position": [1, 2], "step": 43, "ordinal_position": 44}, {"identifier": "T03", "position": [1, 1], "step": 44, "ordinal_position": 45}, {"identifier": "Y66", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "K38", "position": [3, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Y52", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "Z84", "position": [5, 1], "step": 48, "ordinal_position": 49}, {"identifier": "S71", "position": [5, 2], "step": 49, "ordinal_position": 50}, {"identifier": "M70", "position": [5, 3], "step": 50, "ordinal_position": 51}, {"identifier": "Y82", "position": [5, 4], "step": 51, "ordinal_position": 52}, {"identifier": "A83", "position": [5, 5], "step": 52, "ordinal_position": 53}, {"identifier": "J18", "position": [4, 5], "step": 53, "ordinal_position": 54}, {"identifier": "J02", "position": [3, 5], "step": 54, "ordinal_position": 55}, {"identifier": "M68", "position": [2, 5], "step": 55, "ordinal_position": 56}, {"identifier": "B12", "position": [1, 5], "step": 56, "ordinal_position": 57}, {"identifier": "O81", "position": [1, 4], "step": 57, "ordinal_position": 58}, {"identifier": "G30", "position": [1, 3], "step": 58, "ordinal_position": 59}, {"identifier": "Y69", "position": [1, 2], "step": 59, "ordinal_position": 60}, {"identifier": "T03", "position": [1, 1], "step": 60, "ordinal_position": 61}, {"identifier": "Y66", "position": [2, 1], "step": 61, "ordinal_position": 62}, {"identifier": "K38", "position": [3, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Y52", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "Z84", "position": [5, 1], "step": 64, "ordinal_position": 65}, {"identifier": "S71", "position": [5, 2], "step": 65, "ordinal_position": 66}, {"identifier": "M70", "position": [5, 3], "step": 66, "ordinal_position": 67}, {"identifier": "Y82", "position": [5, 4], "step": 67, "ordinal_position": 68}, {"identifier": "A83", "position": [5, 5], "step": 68, "ordinal_position": 69}, {"identifier": "J18", "position": [4, 5], "step": 69, "ordinal_position": 70}, {"identifier": "J02", "position": [3, 5], "step": 70, "ordinal_position": 71}, {"identifier": "M68", "position": [2, 5], "step": 71, "ordinal_position": 72}, {"identifier": "B12", "position": [1, 5], "step": 72, "ordinal_position": 73}, {"identifier": "O81", "position": [1, 4], "step": 73, "ordinal_position": 74}, {"identifier": "G30", "position": [1, 3], "step": 74, "ordinal_position": 75}, {"identifier": "Y69", "position": [1, 2], "step": 75, "ordinal_position": 76}, {"identifier": "T03", "position": [1, 1], "step": 76, "ordinal_position": 77}, {"identifier": "Y66", "position": [2, 1], "step": 77, "ordinal_position": 78}, {"identifier": "K38", "position": [3, 1], "step": 78, "ordinal_position": 79}, {"identifier": "Y52", "position": [4, 1], "step": 79, "ordinal_position": 80}, {"identifier": "Z84", "position": [5, 1], "step": 80, "ordinal_position": 81}, {"identifier": "S71", "position": [5, 2], "step": 81, "ordinal_position": 82}, {"identifier": "M70", "position": [5, 3], "step": 82, "ordinal_position": 83}, {"identifier": "Y82", "position": [5, 4], "step": 83, "ordinal_position": 84}, {"identifier": "A83", "position": [5, 5], "step": 84, "ordinal_position": 85}, {"identifier": "J18", "position": [4, 5], "step": 85, "ordinal_position": 86}, {"identifier": "J02", "position": [3, 5], "step": 86, "ordinal_position": 87}, {"identifier": "M68", "position": [2, 5], "step": 87, "ordinal_position": 88}, {"identifier": "B12", "position": [1, 5], "step": 88, "ordinal_position": 89}, {"identifier": "O81", "position": [1, 4], "step": 89, "ordinal_position": 90}, {"identifier": "G30", "position": [1, 3], "step": 90, "ordinal_position": 91}, {"identifier": "Y69", "position": [1, 2], "step": 91, "ordinal_position": 92}, {"identifier": "T03", "position": [1, 1], "step": 92, "ordinal_position": 93}, {"identifier": "Y66", "position": [2, 1], "step": 93, "ordinal_position": 94}, {"identifier": "K38", "position": [3, 1], "step": 94, "ordinal_position": 95}, {"identifier": "Y52", "position": [4, 1], "step": 95, "ordinal_position": 96}, {"identifier": "Z84", "position": [5, 1], "step": 96, "ordinal_position": 97}, {"identifier": "S71", "position": [5, 2], "step": 97, "ordinal_position": 98}, {"identifier": "M70", "position": [5, 3], "step": 98, "ordinal_position": 99}, {"identifier": "Y82", "position": [5, 4], "step": 99, "ordinal_position": 100}, {"identifier": "A83", "position": [5, 5], "step": 100, "ordinal_position": 101}, {"identifier": "J18", "position": [4, 5], "step": 101, "ordinal_position": 102}, {"identifier": "J02", "position": [3, 5], "step": 102, "ordinal_position": 103}, {"identifier": "M68", "position": [2, 5], "step": 103, "ordinal_position": 104}, {"identifier": "B12", "position": [1, 5], "step": 104, "ordinal_position": 105}, {"identifier": "O81", "position": [1, 4], "step": 105, "ordinal_position": 106}, {"identifier": "G30", "position": [1, 3], "step": 106, "ordinal_position": 107}, {"identifier": "Y69", "position": [1, 2], "step": 107, "ordinal_position": 108}, {"identifier": "T03", "position": [1, 1], "step": 108, "ordinal_position": 109}, {"identifier": "Y66", "position": [2, 1], "step": 109, "ordinal_position": 110}, {"identifier": "K38", "position": [3, 1], "step": 110, "ordinal_position": 111}, {"identifier": "Y52", "position": [4, 1], "step": 111, "ordinal_position": 112}, {"identifier": "Z84", "position": [5, 1], "step": 112, "ordinal_position": 113}, {"identifier": "S71", "position": [5, 2], "step": 113, "ordinal_position": 114}, {"identifier": "M70", "position": [5, 3], "step": 114, "ordinal_position": 115}, {"identifier": "Y82", "position": [5, 4], "step": 115, "ordinal_position": 116}, {"identifier": "A83", "position": [5, 5], "step": 116, "ordinal_position": 117}, {"identifier": "J18", "position": [4, 5], "step": 117, "ordinal_position": 118}, {"identifier": "J02", "position": [3, 5], "step": 118, "ordinal_position": 119}, {"identifier": "M68", "position": [2, 5], "step": 119, "ordinal_position": 120}, {"identifier": "B12", "position": [1, 5], "step": 120, "ordinal_position": 121}, {"identifier": "O81", "position": [1, 4], "step": 121, "ordinal_position": 122}, {"identifier": "G30", "position": [1, 3], "step": 122, "ordinal_position": 123}, {"identifier": "Y69", "position": [1, 2], "step": 123, "ordinal_position": 124}, {"identifier": "T03", "position": [1, 1], "step": 124, "ordinal_position": 125}, {"identifier": "Y66", "position": [2, 1], "step": 125, "ordinal_position": 126}, {"identifier": "K38", "position": [3, 1], "step": 126, "ordinal_position": 127}, {"identifier": "Y52", "position": [4, 1], "step": 127, "ordinal_position": 128}, {"identifier": "Z84", "position": [5, 1], "step": 128, "ordinal_position": 129}, {"identifier": "S71", "position": [5, 2], "step": 129, "ordinal_position": 130}, {"identifier": "M70", "position": [5, 3], "step": 130, "ordinal_position": 131}, {"identifier": "Y82", "position": [5, 4], "step": 131, "ordinal_position": 132}, {"identifier": "A83", "position": [5, 5], "step": 132, "ordinal_position": 133}, {"identifier": "J18", "position": [4, 5], "step": 133, "ordinal_position": 134}, {"identifier": "J02", "position": [3, 5], "step": 134, "ordinal_position": 135}, {"identifier": "M68", "position": [2, 5], "step": 135, "ordinal_position": 136}, {"identifier": "B12", "position": [1, 5], "step": 136, "ordinal_position": 137}, {"identifier": "O81", "position": [1, 4], "step": 137, "ordinal_position": 138}, {"identifier": "G30", "position": [1, 3], "step": 138, "ordinal_position": 139}, {"identifier": "Y69", "position": [1, 2], "step": 139, "ordinal_position": 140}, {"identifier": "T03", "position": [1, 1], "step": 140, "ordinal_position": 141}, {"identifier": "Y66", "position": [2, 1], "step": 141, "ordinal_position": 142}, {"identifier": "K38", "position": [3, 1], "step": 142, "ordinal_position": 143}, {"identifier": "Y52", "position": [4, 1], "step": 143, "ordinal_position": 144}, {"identifier": "Z84", "position": [5, 1], "step": 144, "ordinal_position": 145}, {"identifier": "S71", "position": [5, 2], "step": 145, "ordinal_position": 146}, {"identifier": "M70", "position": [5, 3], "step": 146, "ordinal_position": 147}, {"identifier": "Y82", "position": [5, 4], "step": 147, "ordinal_position": 148}, {"identifier": "A83", "position": [5, 5], "step": 148, "ordinal_position": 149}, {"identifier": "J18", "position": [4, 5], "step": 149, "ordinal_position": 150}, {"identifier": "J02", "position": [3, 5], "step": 150, "ordinal_position": 151}, {"identifier": "M68", "position": [2, 5], "step": 151, "ordinal_position": 152}, {"identifier": "B12", "position": [1, 5], "step": 152, "ordinal_position": 153}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 153, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_016.json"}} {"qa_id": "77ad22562d2343af96b67941e9b6f840", "image_id": "L3-MazeLoop-test_7x7_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z67, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 114th position in this traversal?", "start_object_id": "Z67", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [114], "ordinal_strings": ["114th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K38", "traversal_path": [{"identifier": "Z67", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "K38", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Y66", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "T03", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Y69", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "G30", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "O81", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "B12", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "M68", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "J02", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "J18", "position": [4, 5], "step": 10, "ordinal_position": 11}, {"identifier": "A83", "position": [5, 5], "step": 11, "ordinal_position": 12}, {"identifier": "Y82", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "M70", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "S71", "position": [5, 2], "step": 14, "ordinal_position": 15}, {"identifier": "Z84", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "Y52", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "K38", "position": [3, 1], "step": 17, "ordinal_position": 18}, {"identifier": "Y66", "position": [2, 1], "step": 18, "ordinal_position": 19}, {"identifier": "T03", "position": [1, 1], "step": 19, "ordinal_position": 20}, {"identifier": "Y69", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "G30", "position": [1, 3], "step": 21, "ordinal_position": 22}, {"identifier": "O81", "position": [1, 4], "step": 22, "ordinal_position": 23}, {"identifier": "B12", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "M68", "position": [2, 5], "step": 24, "ordinal_position": 25}, {"identifier": "J02", "position": [3, 5], "step": 25, "ordinal_position": 26}, {"identifier": "J18", "position": [4, 5], "step": 26, "ordinal_position": 27}, {"identifier": "A83", "position": [5, 5], "step": 27, "ordinal_position": 28}, {"identifier": "Y82", "position": [5, 4], "step": 28, "ordinal_position": 29}, {"identifier": "M70", "position": [5, 3], "step": 29, "ordinal_position": 30}, {"identifier": "S71", "position": [5, 2], "step": 30, "ordinal_position": 31}, {"identifier": "Z84", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "Y52", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "K38", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "Y66", "position": [2, 1], "step": 34, "ordinal_position": 35}, {"identifier": "T03", "position": [1, 1], "step": 35, "ordinal_position": 36}, {"identifier": "Y69", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "G30", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "O81", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "B12", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "M68", "position": [2, 5], "step": 40, "ordinal_position": 41}, {"identifier": "J02", "position": [3, 5], "step": 41, "ordinal_position": 42}, {"identifier": "J18", "position": [4, 5], "step": 42, "ordinal_position": 43}, {"identifier": "A83", "position": [5, 5], "step": 43, "ordinal_position": 44}, {"identifier": "Y82", "position": [5, 4], "step": 44, "ordinal_position": 45}, {"identifier": "M70", "position": [5, 3], "step": 45, "ordinal_position": 46}, {"identifier": "S71", "position": [5, 2], "step": 46, "ordinal_position": 47}, {"identifier": "Z84", "position": [5, 1], "step": 47, "ordinal_position": 48}, {"identifier": "Y52", "position": [4, 1], "step": 48, "ordinal_position": 49}, {"identifier": "K38", "position": [3, 1], "step": 49, "ordinal_position": 50}, {"identifier": "Y66", "position": [2, 1], "step": 50, "ordinal_position": 51}, {"identifier": "T03", "position": [1, 1], "step": 51, "ordinal_position": 52}, {"identifier": "Y69", "position": [1, 2], "step": 52, "ordinal_position": 53}, {"identifier": "G30", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "O81", "position": [1, 4], "step": 54, "ordinal_position": 55}, {"identifier": "B12", "position": [1, 5], "step": 55, "ordinal_position": 56}, {"identifier": "M68", "position": [2, 5], "step": 56, "ordinal_position": 57}, {"identifier": "J02", "position": [3, 5], "step": 57, "ordinal_position": 58}, {"identifier": "J18", "position": [4, 5], "step": 58, "ordinal_position": 59}, {"identifier": "A83", "position": [5, 5], "step": 59, "ordinal_position": 60}, {"identifier": "Y82", "position": [5, 4], "step": 60, "ordinal_position": 61}, {"identifier": "M70", "position": [5, 3], "step": 61, "ordinal_position": 62}, {"identifier": "S71", "position": [5, 2], "step": 62, "ordinal_position": 63}, {"identifier": "Z84", "position": [5, 1], "step": 63, "ordinal_position": 64}, {"identifier": "Y52", "position": [4, 1], "step": 64, "ordinal_position": 65}, {"identifier": "K38", "position": [3, 1], "step": 65, "ordinal_position": 66}, {"identifier": "Y66", "position": [2, 1], "step": 66, "ordinal_position": 67}, {"identifier": "T03", "position": [1, 1], "step": 67, "ordinal_position": 68}, {"identifier": "Y69", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "G30", "position": [1, 3], "step": 69, "ordinal_position": 70}, {"identifier": "O81", "position": [1, 4], "step": 70, "ordinal_position": 71}, {"identifier": "B12", "position": [1, 5], "step": 71, "ordinal_position": 72}, {"identifier": "M68", "position": [2, 5], "step": 72, "ordinal_position": 73}, {"identifier": "J02", "position": [3, 5], "step": 73, "ordinal_position": 74}, {"identifier": "J18", "position": [4, 5], "step": 74, "ordinal_position": 75}, {"identifier": "A83", "position": [5, 5], "step": 75, "ordinal_position": 76}, {"identifier": "Y82", "position": [5, 4], "step": 76, "ordinal_position": 77}, {"identifier": "M70", "position": [5, 3], "step": 77, "ordinal_position": 78}, {"identifier": "S71", "position": [5, 2], "step": 78, "ordinal_position": 79}, {"identifier": "Z84", "position": [5, 1], "step": 79, "ordinal_position": 80}, {"identifier": "Y52", "position": [4, 1], "step": 80, "ordinal_position": 81}, {"identifier": "K38", "position": [3, 1], "step": 81, "ordinal_position": 82}, {"identifier": "Y66", "position": [2, 1], "step": 82, "ordinal_position": 83}, {"identifier": "T03", "position": [1, 1], "step": 83, "ordinal_position": 84}, {"identifier": "Y69", "position": [1, 2], "step": 84, "ordinal_position": 85}, {"identifier": "G30", "position": [1, 3], "step": 85, "ordinal_position": 86}, {"identifier": "O81", "position": [1, 4], "step": 86, "ordinal_position": 87}, {"identifier": "B12", "position": [1, 5], "step": 87, "ordinal_position": 88}, {"identifier": "M68", "position": [2, 5], "step": 88, "ordinal_position": 89}, {"identifier": "J02", "position": [3, 5], "step": 89, "ordinal_position": 90}, {"identifier": "J18", "position": [4, 5], "step": 90, "ordinal_position": 91}, {"identifier": "A83", "position": [5, 5], "step": 91, "ordinal_position": 92}, {"identifier": "Y82", "position": [5, 4], "step": 92, "ordinal_position": 93}, {"identifier": "M70", "position": [5, 3], "step": 93, "ordinal_position": 94}, {"identifier": "S71", "position": [5, 2], "step": 94, "ordinal_position": 95}, {"identifier": "Z84", "position": [5, 1], "step": 95, "ordinal_position": 96}, {"identifier": "Y52", "position": [4, 1], "step": 96, "ordinal_position": 97}, {"identifier": "K38", "position": [3, 1], "step": 97, "ordinal_position": 98}, {"identifier": "Y66", "position": [2, 1], "step": 98, "ordinal_position": 99}, {"identifier": "T03", "position": [1, 1], "step": 99, "ordinal_position": 100}, {"identifier": "Y69", "position": [1, 2], "step": 100, "ordinal_position": 101}, {"identifier": "G30", "position": [1, 3], "step": 101, "ordinal_position": 102}, {"identifier": "O81", "position": [1, 4], "step": 102, "ordinal_position": 103}, {"identifier": "B12", "position": [1, 5], "step": 103, "ordinal_position": 104}, {"identifier": "M68", "position": [2, 5], "step": 104, "ordinal_position": 105}, {"identifier": "J02", "position": [3, 5], "step": 105, "ordinal_position": 106}, {"identifier": "J18", "position": [4, 5], "step": 106, "ordinal_position": 107}, {"identifier": "A83", "position": [5, 5], "step": 107, "ordinal_position": 108}, {"identifier": "Y82", "position": [5, 4], "step": 108, "ordinal_position": 109}, {"identifier": "M70", "position": [5, 3], "step": 109, "ordinal_position": 110}, {"identifier": "S71", "position": [5, 2], "step": 110, "ordinal_position": 111}, {"identifier": "Z84", "position": [5, 1], "step": 111, "ordinal_position": 112}, {"identifier": "Y52", "position": [4, 1], "step": 112, "ordinal_position": 113}, {"identifier": "K38", "position": [3, 1], "step": 113, "ordinal_position": 114}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 114, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_016.json"}} {"qa_id": "5cb37b0af59545d0aca5caf2194c4413", "image_id": "L3-MazeLoop-test_7x7_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z84, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 145th position in this traversal?", "start_object_id": "Z84", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [145], "ordinal_strings": ["145th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Z84", "traversal_path": [{"identifier": "Z84", "position": [5, 1], "step": 0, "ordinal_position": 1}, {"identifier": "S71", "position": [5, 2], "step": 1, "ordinal_position": 2}, {"identifier": "M70", "position": [5, 3], "step": 2, "ordinal_position": 3}, {"identifier": "Y82", "position": [5, 4], "step": 3, "ordinal_position": 4}, {"identifier": "A83", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "J18", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "J02", "position": [3, 5], "step": 6, "ordinal_position": 7}, {"identifier": "M68", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "B12", "position": [1, 5], "step": 8, "ordinal_position": 9}, {"identifier": "O81", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "G30", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "Y69", "position": [1, 2], "step": 11, "ordinal_position": 12}, {"identifier": "T03", "position": [1, 1], "step": 12, "ordinal_position": 13}, {"identifier": "Y66", "position": [2, 1], "step": 13, "ordinal_position": 14}, {"identifier": "K38", "position": [3, 1], "step": 14, "ordinal_position": 15}, {"identifier": "Y52", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "Z84", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "S71", "position": [5, 2], "step": 17, "ordinal_position": 18}, {"identifier": "M70", "position": [5, 3], "step": 18, "ordinal_position": 19}, {"identifier": "Y82", "position": [5, 4], "step": 19, "ordinal_position": 20}, {"identifier": "A83", "position": [5, 5], "step": 20, "ordinal_position": 21}, {"identifier": "J18", "position": [4, 5], "step": 21, "ordinal_position": 22}, {"identifier": "J02", "position": [3, 5], "step": 22, "ordinal_position": 23}, {"identifier": "M68", "position": [2, 5], "step": 23, "ordinal_position": 24}, {"identifier": "B12", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "O81", "position": [1, 4], "step": 25, "ordinal_position": 26}, {"identifier": "G30", "position": [1, 3], "step": 26, "ordinal_position": 27}, {"identifier": "Y69", "position": [1, 2], "step": 27, "ordinal_position": 28}, {"identifier": "T03", "position": [1, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Y66", "position": [2, 1], "step": 29, "ordinal_position": 30}, {"identifier": "K38", "position": [3, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Y52", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "Z84", "position": [5, 1], "step": 32, "ordinal_position": 33}, {"identifier": "S71", "position": [5, 2], "step": 33, "ordinal_position": 34}, {"identifier": "M70", "position": [5, 3], "step": 34, "ordinal_position": 35}, {"identifier": "Y82", "position": [5, 4], "step": 35, "ordinal_position": 36}, {"identifier": "A83", "position": [5, 5], "step": 36, "ordinal_position": 37}, {"identifier": "J18", "position": [4, 5], "step": 37, "ordinal_position": 38}, {"identifier": "J02", "position": [3, 5], "step": 38, "ordinal_position": 39}, {"identifier": "M68", "position": [2, 5], "step": 39, "ordinal_position": 40}, {"identifier": "B12", "position": [1, 5], "step": 40, "ordinal_position": 41}, {"identifier": "O81", "position": [1, 4], "step": 41, "ordinal_position": 42}, {"identifier": "G30", "position": [1, 3], "step": 42, "ordinal_position": 43}, {"identifier": "Y69", "position": [1, 2], "step": 43, "ordinal_position": 44}, {"identifier": "T03", "position": [1, 1], "step": 44, "ordinal_position": 45}, {"identifier": "Y66", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "K38", "position": [3, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Y52", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "Z84", "position": [5, 1], "step": 48, "ordinal_position": 49}, {"identifier": "S71", "position": [5, 2], "step": 49, "ordinal_position": 50}, {"identifier": "M70", "position": [5, 3], "step": 50, "ordinal_position": 51}, {"identifier": "Y82", "position": [5, 4], "step": 51, "ordinal_position": 52}, {"identifier": "A83", "position": [5, 5], "step": 52, "ordinal_position": 53}, {"identifier": "J18", "position": [4, 5], "step": 53, "ordinal_position": 54}, {"identifier": "J02", "position": [3, 5], "step": 54, "ordinal_position": 55}, {"identifier": "M68", "position": [2, 5], "step": 55, "ordinal_position": 56}, {"identifier": "B12", "position": [1, 5], "step": 56, "ordinal_position": 57}, {"identifier": "O81", "position": [1, 4], "step": 57, "ordinal_position": 58}, {"identifier": "G30", "position": [1, 3], "step": 58, "ordinal_position": 59}, {"identifier": "Y69", "position": [1, 2], "step": 59, "ordinal_position": 60}, {"identifier": "T03", "position": [1, 1], "step": 60, "ordinal_position": 61}, {"identifier": "Y66", "position": [2, 1], "step": 61, "ordinal_position": 62}, {"identifier": "K38", "position": [3, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Y52", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "Z84", "position": [5, 1], "step": 64, "ordinal_position": 65}, {"identifier": "S71", "position": [5, 2], "step": 65, "ordinal_position": 66}, {"identifier": "M70", "position": [5, 3], "step": 66, "ordinal_position": 67}, {"identifier": "Y82", "position": [5, 4], "step": 67, "ordinal_position": 68}, {"identifier": "A83", "position": [5, 5], "step": 68, "ordinal_position": 69}, {"identifier": "J18", "position": [4, 5], "step": 69, "ordinal_position": 70}, {"identifier": "J02", "position": [3, 5], "step": 70, "ordinal_position": 71}, {"identifier": "M68", "position": [2, 5], "step": 71, "ordinal_position": 72}, {"identifier": "B12", "position": [1, 5], "step": 72, "ordinal_position": 73}, {"identifier": "O81", "position": [1, 4], "step": 73, "ordinal_position": 74}, {"identifier": "G30", "position": [1, 3], "step": 74, "ordinal_position": 75}, {"identifier": "Y69", "position": [1, 2], "step": 75, "ordinal_position": 76}, {"identifier": "T03", "position": [1, 1], "step": 76, "ordinal_position": 77}, {"identifier": "Y66", "position": [2, 1], "step": 77, "ordinal_position": 78}, {"identifier": "K38", "position": [3, 1], "step": 78, "ordinal_position": 79}, {"identifier": "Y52", "position": [4, 1], "step": 79, "ordinal_position": 80}, {"identifier": "Z84", "position": [5, 1], "step": 80, "ordinal_position": 81}, {"identifier": "S71", "position": [5, 2], "step": 81, "ordinal_position": 82}, {"identifier": "M70", "position": [5, 3], "step": 82, "ordinal_position": 83}, {"identifier": "Y82", "position": [5, 4], "step": 83, "ordinal_position": 84}, {"identifier": "A83", "position": [5, 5], "step": 84, "ordinal_position": 85}, {"identifier": "J18", "position": [4, 5], "step": 85, "ordinal_position": 86}, {"identifier": "J02", "position": [3, 5], "step": 86, "ordinal_position": 87}, {"identifier": "M68", "position": [2, 5], "step": 87, "ordinal_position": 88}, {"identifier": "B12", "position": [1, 5], "step": 88, "ordinal_position": 89}, {"identifier": "O81", "position": [1, 4], "step": 89, "ordinal_position": 90}, {"identifier": "G30", "position": [1, 3], "step": 90, "ordinal_position": 91}, {"identifier": "Y69", "position": [1, 2], "step": 91, "ordinal_position": 92}, {"identifier": "T03", "position": [1, 1], "step": 92, "ordinal_position": 93}, {"identifier": "Y66", "position": [2, 1], "step": 93, "ordinal_position": 94}, {"identifier": "K38", "position": [3, 1], "step": 94, "ordinal_position": 95}, {"identifier": "Y52", "position": [4, 1], "step": 95, "ordinal_position": 96}, {"identifier": "Z84", "position": [5, 1], "step": 96, "ordinal_position": 97}, {"identifier": "S71", "position": [5, 2], "step": 97, "ordinal_position": 98}, {"identifier": "M70", "position": [5, 3], "step": 98, "ordinal_position": 99}, {"identifier": "Y82", "position": [5, 4], "step": 99, "ordinal_position": 100}, {"identifier": "A83", "position": [5, 5], "step": 100, "ordinal_position": 101}, {"identifier": "J18", "position": [4, 5], "step": 101, "ordinal_position": 102}, {"identifier": "J02", "position": [3, 5], "step": 102, "ordinal_position": 103}, {"identifier": "M68", "position": [2, 5], "step": 103, "ordinal_position": 104}, {"identifier": "B12", "position": [1, 5], "step": 104, "ordinal_position": 105}, {"identifier": "O81", "position": [1, 4], "step": 105, "ordinal_position": 106}, {"identifier": "G30", "position": [1, 3], "step": 106, "ordinal_position": 107}, {"identifier": "Y69", "position": [1, 2], "step": 107, "ordinal_position": 108}, {"identifier": "T03", "position": [1, 1], "step": 108, "ordinal_position": 109}, {"identifier": "Y66", "position": [2, 1], "step": 109, "ordinal_position": 110}, {"identifier": "K38", "position": [3, 1], "step": 110, "ordinal_position": 111}, {"identifier": "Y52", "position": [4, 1], "step": 111, "ordinal_position": 112}, {"identifier": "Z84", "position": [5, 1], "step": 112, "ordinal_position": 113}, {"identifier": "S71", "position": [5, 2], "step": 113, "ordinal_position": 114}, {"identifier": "M70", "position": [5, 3], "step": 114, "ordinal_position": 115}, {"identifier": "Y82", "position": [5, 4], "step": 115, "ordinal_position": 116}, {"identifier": "A83", "position": [5, 5], "step": 116, "ordinal_position": 117}, {"identifier": "J18", "position": [4, 5], "step": 117, "ordinal_position": 118}, {"identifier": "J02", "position": [3, 5], "step": 118, "ordinal_position": 119}, {"identifier": "M68", "position": [2, 5], "step": 119, "ordinal_position": 120}, {"identifier": "B12", "position": [1, 5], "step": 120, "ordinal_position": 121}, {"identifier": "O81", "position": [1, 4], "step": 121, "ordinal_position": 122}, {"identifier": "G30", "position": [1, 3], "step": 122, "ordinal_position": 123}, {"identifier": "Y69", "position": [1, 2], "step": 123, "ordinal_position": 124}, {"identifier": "T03", "position": [1, 1], "step": 124, "ordinal_position": 125}, {"identifier": "Y66", "position": [2, 1], "step": 125, "ordinal_position": 126}, {"identifier": "K38", "position": [3, 1], "step": 126, "ordinal_position": 127}, {"identifier": "Y52", "position": [4, 1], "step": 127, "ordinal_position": 128}, {"identifier": "Z84", "position": [5, 1], "step": 128, "ordinal_position": 129}, {"identifier": "S71", "position": [5, 2], "step": 129, "ordinal_position": 130}, {"identifier": "M70", "position": [5, 3], "step": 130, "ordinal_position": 131}, {"identifier": "Y82", "position": [5, 4], "step": 131, "ordinal_position": 132}, {"identifier": "A83", "position": [5, 5], "step": 132, "ordinal_position": 133}, {"identifier": "J18", "position": [4, 5], "step": 133, "ordinal_position": 134}, {"identifier": "J02", "position": [3, 5], "step": 134, "ordinal_position": 135}, {"identifier": "M68", "position": [2, 5], "step": 135, "ordinal_position": 136}, {"identifier": "B12", "position": [1, 5], "step": 136, "ordinal_position": 137}, {"identifier": "O81", "position": [1, 4], "step": 137, "ordinal_position": 138}, {"identifier": "G30", "position": [1, 3], "step": 138, "ordinal_position": 139}, {"identifier": "Y69", "position": [1, 2], "step": 139, "ordinal_position": 140}, {"identifier": "T03", "position": [1, 1], "step": 140, "ordinal_position": 141}, {"identifier": "Y66", "position": [2, 1], "step": 141, "ordinal_position": 142}, {"identifier": "K38", "position": [3, 1], "step": 142, "ordinal_position": 143}, {"identifier": "Y52", "position": [4, 1], "step": 143, "ordinal_position": 144}, {"identifier": "Z84", "position": [5, 1], "step": 144, "ordinal_position": 145}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 145, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_016.json"}} {"qa_id": "4515c4323343460ea1c600bf2909faf8", "image_id": "L3-MazeLoop-test_7x7_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D35, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "D35", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "N55", "traversal_path": [{"identifier": "D35", "position": [4, 3], "step": 0, "ordinal_position": 1}, {"identifier": "N55", "position": [3, 3], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 2, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_017.json"}} {"qa_id": "5a859e6b1af04a76a2743bf526e51812", "image_id": "L3-MazeLoop-test_7x7_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C83, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "C83", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "U77", "traversal_path": [{"identifier": "C83", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "I05", "position": [4, 1], "step": 1, "ordinal_position": 2}, {"identifier": "M66", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "F63", "position": [5, 2], "step": 3, "ordinal_position": 4}, {"identifier": "G18", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "U77", "position": [5, 4], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 6, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_017.json"}} {"qa_id": "a7f610570433404e931c361afcfa34e6", "image_id": "L3-MazeLoop-test_7x7_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C54, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "C54", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "W11", "traversal_path": [{"identifier": "C54", "position": [4, 5], "step": 0, "ordinal_position": 1}, {"identifier": "T41", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "W11", "position": [2, 5], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 3, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_017.json"}} {"qa_id": "e9a5ac8e87ae448bb178aa695e21dcf1", "image_id": "L3-MazeLoop-test_7x7_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M66, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "M66", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "W89", "traversal_path": [{"identifier": "M66", "position": [5, 1], "step": 0, "ordinal_position": 1}, {"identifier": "I05", "position": [4, 1], "step": 1, "ordinal_position": 2}, {"identifier": "C83", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "W89", "position": [2, 1], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_017.json"}} {"qa_id": "23e764581e19431ea99f11c6cfa5884e", "image_id": "L3-MazeLoop-test_7x7_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W11, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "W11", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "W57", "traversal_path": [{"identifier": "W11", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "T41", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "C54", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "W57", "position": [5, 5], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_017.json"}} {"qa_id": "adabfe0fb0e948e7ab4d832798c413bb", "image_id": "L3-MazeLoop-test_7x7_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D35, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 26th position in this traversal?", "start_object_id": "D35", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [26], "ordinal_strings": ["26th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Q44", "traversal_path": [{"identifier": "D35", "position": [4, 3], "step": 0, "ordinal_position": 1}, {"identifier": "G18", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "U77", "position": [5, 4], "step": 2, "ordinal_position": 3}, {"identifier": "W57", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "C54", "position": [4, 5], "step": 4, "ordinal_position": 5}, {"identifier": "T41", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "W11", "position": [2, 5], "step": 6, "ordinal_position": 7}, {"identifier": "I60", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "Q78", "position": [1, 4], "step": 8, "ordinal_position": 9}, {"identifier": "Q44", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "F72", "position": [1, 2], "step": 10, "ordinal_position": 11}, {"identifier": "V82", "position": [1, 1], "step": 11, "ordinal_position": 12}, {"identifier": "W89", "position": [2, 1], "step": 12, "ordinal_position": 13}, {"identifier": "C83", "position": [3, 1], "step": 13, "ordinal_position": 14}, {"identifier": "I05", "position": [4, 1], "step": 14, "ordinal_position": 15}, {"identifier": "M66", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "F63", "position": [5, 2], "step": 16, "ordinal_position": 17}, {"identifier": "G18", "position": [5, 3], "step": 17, "ordinal_position": 18}, {"identifier": "U77", "position": [5, 4], "step": 18, "ordinal_position": 19}, {"identifier": "W57", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "C54", "position": [4, 5], "step": 20, "ordinal_position": 21}, {"identifier": "T41", "position": [3, 5], "step": 21, "ordinal_position": 22}, {"identifier": "W11", "position": [2, 5], "step": 22, "ordinal_position": 23}, {"identifier": "I60", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "Q78", "position": [1, 4], "step": 24, "ordinal_position": 25}, {"identifier": "Q44", "position": [1, 3], "step": 25, "ordinal_position": 26}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 26, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_017.json"}} {"qa_id": "25e755b633c64d109d70fc87a3163412", "image_id": "L3-MazeLoop-test_7x7_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F72, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 14th position in this traversal?", "start_object_id": "F72", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [14], "ordinal_strings": ["14th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "I60", "traversal_path": [{"identifier": "F72", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "V82", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "W89", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "C83", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "I05", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "M66", "position": [5, 1], "step": 5, "ordinal_position": 6}, {"identifier": "F63", "position": [5, 2], "step": 6, "ordinal_position": 7}, {"identifier": "G18", "position": [5, 3], "step": 7, "ordinal_position": 8}, {"identifier": "U77", "position": [5, 4], "step": 8, "ordinal_position": 9}, {"identifier": "W57", "position": [5, 5], "step": 9, "ordinal_position": 10}, {"identifier": "C54", "position": [4, 5], "step": 10, "ordinal_position": 11}, {"identifier": "T41", "position": [3, 5], "step": 11, "ordinal_position": 12}, {"identifier": "W11", "position": [2, 5], "step": 12, "ordinal_position": 13}, {"identifier": "I60", "position": [1, 5], "step": 13, "ordinal_position": 14}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 14, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_017.json"}} {"qa_id": "64f89c30f0d84db89f70db92e436e578", "image_id": "L3-MazeLoop-test_7x7_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G18, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 59th position in this traversal?", "start_object_id": "G18", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [59], "ordinal_strings": ["59th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "M66", "traversal_path": [{"identifier": "G18", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "D35", "position": [4, 3], "step": 1, "ordinal_position": 2}, {"identifier": "N55", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "F05", "position": [3, 4], "step": 3, "ordinal_position": 4}, {"identifier": "T41", "position": [3, 5], "step": 4, "ordinal_position": 5}, {"identifier": "C54", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "W57", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "U77", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "G18", "position": [5, 3], "step": 8, "ordinal_position": 9}, {"identifier": "F63", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "M66", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "I05", "position": [4, 1], "step": 11, "ordinal_position": 12}, {"identifier": "C83", "position": [3, 1], "step": 12, "ordinal_position": 13}, {"identifier": "W89", "position": [2, 1], "step": 13, "ordinal_position": 14}, {"identifier": "V82", "position": [1, 1], "step": 14, "ordinal_position": 15}, {"identifier": "F72", "position": [1, 2], "step": 15, "ordinal_position": 16}, {"identifier": "Q44", "position": [1, 3], "step": 16, "ordinal_position": 17}, {"identifier": "Q78", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "I60", "position": [1, 5], "step": 18, "ordinal_position": 19}, {"identifier": "W11", "position": [2, 5], "step": 19, "ordinal_position": 20}, {"identifier": "T41", "position": [3, 5], "step": 20, "ordinal_position": 21}, {"identifier": "C54", "position": [4, 5], "step": 21, "ordinal_position": 22}, {"identifier": "W57", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "U77", "position": [5, 4], "step": 23, "ordinal_position": 24}, {"identifier": "G18", "position": [5, 3], "step": 24, "ordinal_position": 25}, {"identifier": "F63", "position": [5, 2], "step": 25, "ordinal_position": 26}, {"identifier": "M66", "position": [5, 1], "step": 26, "ordinal_position": 27}, {"identifier": "I05", "position": [4, 1], "step": 27, "ordinal_position": 28}, {"identifier": "C83", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "W89", "position": [2, 1], "step": 29, "ordinal_position": 30}, {"identifier": "V82", "position": [1, 1], "step": 30, "ordinal_position": 31}, {"identifier": "F72", "position": [1, 2], "step": 31, "ordinal_position": 32}, {"identifier": "Q44", "position": [1, 3], "step": 32, "ordinal_position": 33}, {"identifier": "Q78", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "I60", "position": [1, 5], "step": 34, "ordinal_position": 35}, {"identifier": "W11", "position": [2, 5], "step": 35, "ordinal_position": 36}, {"identifier": "T41", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "C54", "position": [4, 5], "step": 37, "ordinal_position": 38}, {"identifier": "W57", "position": [5, 5], "step": 38, "ordinal_position": 39}, {"identifier": "U77", "position": [5, 4], "step": 39, "ordinal_position": 40}, {"identifier": "G18", "position": [5, 3], "step": 40, "ordinal_position": 41}, {"identifier": "F63", "position": [5, 2], "step": 41, "ordinal_position": 42}, {"identifier": "M66", "position": [5, 1], "step": 42, "ordinal_position": 43}, {"identifier": "I05", "position": [4, 1], "step": 43, "ordinal_position": 44}, {"identifier": "C83", "position": [3, 1], "step": 44, "ordinal_position": 45}, {"identifier": "W89", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "V82", "position": [1, 1], "step": 46, "ordinal_position": 47}, {"identifier": "F72", "position": [1, 2], "step": 47, "ordinal_position": 48}, {"identifier": "Q44", "position": [1, 3], "step": 48, "ordinal_position": 49}, {"identifier": "Q78", "position": [1, 4], "step": 49, "ordinal_position": 50}, {"identifier": "I60", "position": [1, 5], "step": 50, "ordinal_position": 51}, {"identifier": "W11", "position": [2, 5], "step": 51, "ordinal_position": 52}, {"identifier": "T41", "position": [3, 5], "step": 52, "ordinal_position": 53}, {"identifier": "C54", "position": [4, 5], "step": 53, "ordinal_position": 54}, {"identifier": "W57", "position": [5, 5], "step": 54, "ordinal_position": 55}, {"identifier": "U77", "position": [5, 4], "step": 55, "ordinal_position": 56}, {"identifier": "G18", "position": [5, 3], "step": 56, "ordinal_position": 57}, {"identifier": "F63", "position": [5, 2], "step": 57, "ordinal_position": 58}, {"identifier": "M66", "position": [5, 1], "step": 58, "ordinal_position": 59}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 59, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_017.json"}} {"qa_id": "45fb668740df4a049878a97b2df609c2", "image_id": "L3-MazeLoop-test_7x7_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T41, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 55th position in this traversal?", "start_object_id": "T41", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [55], "ordinal_strings": ["55th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "M66", "traversal_path": [{"identifier": "T41", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "F05", "position": [3, 4], "step": 1, "ordinal_position": 2}, {"identifier": "N55", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "D35", "position": [4, 3], "step": 3, "ordinal_position": 4}, {"identifier": "G18", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "F63", "position": [5, 2], "step": 5, "ordinal_position": 6}, {"identifier": "M66", "position": [5, 1], "step": 6, "ordinal_position": 7}, {"identifier": "I05", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "C83", "position": [3, 1], "step": 8, "ordinal_position": 9}, {"identifier": "W89", "position": [2, 1], "step": 9, "ordinal_position": 10}, {"identifier": "V82", "position": [1, 1], "step": 10, "ordinal_position": 11}, {"identifier": "F72", "position": [1, 2], "step": 11, "ordinal_position": 12}, {"identifier": "Q44", "position": [1, 3], "step": 12, "ordinal_position": 13}, {"identifier": "Q78", "position": [1, 4], "step": 13, "ordinal_position": 14}, {"identifier": "I60", "position": [1, 5], "step": 14, "ordinal_position": 15}, {"identifier": "W11", "position": [2, 5], "step": 15, "ordinal_position": 16}, {"identifier": "T41", "position": [3, 5], "step": 16, "ordinal_position": 17}, {"identifier": "C54", "position": [4, 5], "step": 17, "ordinal_position": 18}, {"identifier": "W57", "position": [5, 5], "step": 18, "ordinal_position": 19}, {"identifier": "U77", "position": [5, 4], "step": 19, "ordinal_position": 20}, {"identifier": "G18", "position": [5, 3], "step": 20, "ordinal_position": 21}, {"identifier": "F63", "position": [5, 2], "step": 21, "ordinal_position": 22}, {"identifier": "M66", "position": [5, 1], "step": 22, "ordinal_position": 23}, {"identifier": "I05", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "C83", "position": [3, 1], "step": 24, "ordinal_position": 25}, {"identifier": "W89", "position": [2, 1], "step": 25, "ordinal_position": 26}, {"identifier": "V82", "position": [1, 1], "step": 26, "ordinal_position": 27}, {"identifier": "F72", "position": [1, 2], "step": 27, "ordinal_position": 28}, {"identifier": "Q44", "position": [1, 3], "step": 28, "ordinal_position": 29}, {"identifier": "Q78", "position": [1, 4], "step": 29, "ordinal_position": 30}, {"identifier": "I60", "position": [1, 5], "step": 30, "ordinal_position": 31}, {"identifier": "W11", "position": [2, 5], "step": 31, "ordinal_position": 32}, {"identifier": "T41", "position": [3, 5], "step": 32, "ordinal_position": 33}, {"identifier": "C54", "position": [4, 5], "step": 33, "ordinal_position": 34}, {"identifier": "W57", "position": [5, 5], "step": 34, "ordinal_position": 35}, {"identifier": "U77", "position": [5, 4], "step": 35, "ordinal_position": 36}, {"identifier": "G18", "position": [5, 3], "step": 36, "ordinal_position": 37}, {"identifier": "F63", "position": [5, 2], "step": 37, "ordinal_position": 38}, {"identifier": "M66", "position": [5, 1], "step": 38, "ordinal_position": 39}, {"identifier": "I05", "position": [4, 1], "step": 39, "ordinal_position": 40}, {"identifier": "C83", "position": [3, 1], "step": 40, "ordinal_position": 41}, {"identifier": "W89", "position": [2, 1], "step": 41, "ordinal_position": 42}, {"identifier": "V82", "position": [1, 1], "step": 42, "ordinal_position": 43}, {"identifier": "F72", "position": [1, 2], "step": 43, "ordinal_position": 44}, {"identifier": "Q44", "position": [1, 3], "step": 44, "ordinal_position": 45}, {"identifier": "Q78", "position": [1, 4], "step": 45, "ordinal_position": 46}, {"identifier": "I60", "position": [1, 5], "step": 46, "ordinal_position": 47}, {"identifier": "W11", "position": [2, 5], "step": 47, "ordinal_position": 48}, {"identifier": "T41", "position": [3, 5], "step": 48, "ordinal_position": 49}, {"identifier": "C54", "position": [4, 5], "step": 49, "ordinal_position": 50}, {"identifier": "W57", "position": [5, 5], "step": 50, "ordinal_position": 51}, {"identifier": "U77", "position": [5, 4], "step": 51, "ordinal_position": 52}, {"identifier": "G18", "position": [5, 3], "step": 52, "ordinal_position": 53}, {"identifier": "F63", "position": [5, 2], "step": 53, "ordinal_position": 54}, {"identifier": "M66", "position": [5, 1], "step": 54, "ordinal_position": 55}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 55, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_017.json"}} {"qa_id": "3b3c7598e140412c9b60e68ee0ce2368", "image_id": "L3-MazeLoop-test_7x7_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V82, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 12th position in this traversal?", "start_object_id": "V82", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [12], "ordinal_strings": ["12th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "F63", "traversal_path": [{"identifier": "V82", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "F72", "position": [1, 2], "step": 1, "ordinal_position": 2}, {"identifier": "Q44", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "Q78", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "I60", "position": [1, 5], "step": 4, "ordinal_position": 5}, {"identifier": "W11", "position": [2, 5], "step": 5, "ordinal_position": 6}, {"identifier": "T41", "position": [3, 5], "step": 6, "ordinal_position": 7}, {"identifier": "C54", "position": [4, 5], "step": 7, "ordinal_position": 8}, {"identifier": "W57", "position": [5, 5], "step": 8, "ordinal_position": 9}, {"identifier": "U77", "position": [5, 4], "step": 9, "ordinal_position": 10}, {"identifier": "G18", "position": [5, 3], "step": 10, "ordinal_position": 11}, {"identifier": "F63", "position": [5, 2], "step": 11, "ordinal_position": 12}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 12, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_017.json"}} {"qa_id": "8b03acde459b425181c5ae3611cc573e", "image_id": "L3-MazeLoop-test_7x7_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I05, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 222nd position in this traversal?", "start_object_id": "I05", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [222], "ordinal_strings": ["222nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "G18", "traversal_path": [{"identifier": "I05", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "C83", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "W89", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "V82", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "F72", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "Q44", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "Q78", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "I60", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "W11", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "T41", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "C54", "position": [4, 5], "step": 10, "ordinal_position": 11}, {"identifier": "W57", "position": [5, 5], "step": 11, "ordinal_position": 12}, {"identifier": "U77", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "G18", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "F63", "position": [5, 2], "step": 14, "ordinal_position": 15}, {"identifier": "M66", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "I05", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "C83", "position": [3, 1], "step": 17, "ordinal_position": 18}, {"identifier": "W89", "position": [2, 1], "step": 18, "ordinal_position": 19}, {"identifier": "V82", "position": [1, 1], "step": 19, "ordinal_position": 20}, {"identifier": "F72", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "Q44", "position": [1, 3], "step": 21, "ordinal_position": 22}, {"identifier": "Q78", "position": [1, 4], "step": 22, "ordinal_position": 23}, {"identifier": "I60", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "W11", "position": [2, 5], "step": 24, "ordinal_position": 25}, {"identifier": "T41", "position": [3, 5], "step": 25, "ordinal_position": 26}, {"identifier": "C54", "position": [4, 5], "step": 26, "ordinal_position": 27}, {"identifier": "W57", "position": [5, 5], "step": 27, "ordinal_position": 28}, {"identifier": "U77", "position": [5, 4], "step": 28, "ordinal_position": 29}, {"identifier": "G18", "position": [5, 3], "step": 29, "ordinal_position": 30}, {"identifier": "F63", "position": [5, 2], "step": 30, "ordinal_position": 31}, {"identifier": "M66", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "I05", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "C83", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "W89", "position": [2, 1], "step": 34, "ordinal_position": 35}, {"identifier": "V82", "position": [1, 1], "step": 35, "ordinal_position": 36}, {"identifier": "F72", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "Q44", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "Q78", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "I60", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "W11", "position": [2, 5], "step": 40, "ordinal_position": 41}, {"identifier": "T41", "position": [3, 5], "step": 41, "ordinal_position": 42}, {"identifier": "C54", "position": [4, 5], "step": 42, "ordinal_position": 43}, {"identifier": "W57", "position": [5, 5], "step": 43, "ordinal_position": 44}, {"identifier": "U77", "position": [5, 4], "step": 44, "ordinal_position": 45}, {"identifier": "G18", "position": [5, 3], "step": 45, "ordinal_position": 46}, {"identifier": "F63", "position": [5, 2], "step": 46, "ordinal_position": 47}, {"identifier": "M66", "position": [5, 1], "step": 47, "ordinal_position": 48}, {"identifier": "I05", "position": [4, 1], "step": 48, "ordinal_position": 49}, {"identifier": "C83", "position": [3, 1], "step": 49, "ordinal_position": 50}, {"identifier": "W89", "position": [2, 1], "step": 50, "ordinal_position": 51}, {"identifier": "V82", "position": [1, 1], "step": 51, "ordinal_position": 52}, {"identifier": "F72", "position": [1, 2], "step": 52, "ordinal_position": 53}, {"identifier": "Q44", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "Q78", "position": [1, 4], "step": 54, "ordinal_position": 55}, {"identifier": "I60", "position": [1, 5], "step": 55, "ordinal_position": 56}, {"identifier": "W11", "position": [2, 5], "step": 56, "ordinal_position": 57}, {"identifier": "T41", "position": [3, 5], "step": 57, "ordinal_position": 58}, {"identifier": "C54", "position": [4, 5], "step": 58, "ordinal_position": 59}, {"identifier": "W57", "position": [5, 5], "step": 59, "ordinal_position": 60}, {"identifier": "U77", "position": [5, 4], "step": 60, "ordinal_position": 61}, {"identifier": "G18", "position": [5, 3], "step": 61, "ordinal_position": 62}, {"identifier": "F63", "position": [5, 2], "step": 62, "ordinal_position": 63}, {"identifier": "M66", "position": [5, 1], "step": 63, "ordinal_position": 64}, {"identifier": "I05", "position": [4, 1], "step": 64, "ordinal_position": 65}, {"identifier": "C83", "position": [3, 1], "step": 65, "ordinal_position": 66}, {"identifier": "W89", "position": [2, 1], "step": 66, "ordinal_position": 67}, {"identifier": "V82", "position": [1, 1], "step": 67, "ordinal_position": 68}, {"identifier": "F72", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "Q44", "position": [1, 3], "step": 69, "ordinal_position": 70}, {"identifier": "Q78", "position": [1, 4], "step": 70, "ordinal_position": 71}, {"identifier": "I60", "position": [1, 5], "step": 71, "ordinal_position": 72}, {"identifier": "W11", "position": [2, 5], "step": 72, "ordinal_position": 73}, {"identifier": "T41", "position": [3, 5], "step": 73, "ordinal_position": 74}, {"identifier": "C54", "position": [4, 5], "step": 74, "ordinal_position": 75}, {"identifier": "W57", "position": [5, 5], "step": 75, "ordinal_position": 76}, {"identifier": "U77", "position": [5, 4], "step": 76, "ordinal_position": 77}, {"identifier": "G18", "position": [5, 3], "step": 77, "ordinal_position": 78}, {"identifier": "F63", "position": [5, 2], "step": 78, "ordinal_position": 79}, {"identifier": "M66", "position": [5, 1], "step": 79, "ordinal_position": 80}, {"identifier": "I05", "position": [4, 1], "step": 80, "ordinal_position": 81}, {"identifier": "C83", "position": [3, 1], "step": 81, "ordinal_position": 82}, {"identifier": "W89", "position": [2, 1], "step": 82, "ordinal_position": 83}, {"identifier": "V82", "position": [1, 1], "step": 83, "ordinal_position": 84}, {"identifier": "F72", "position": [1, 2], "step": 84, "ordinal_position": 85}, {"identifier": "Q44", "position": [1, 3], "step": 85, "ordinal_position": 86}, {"identifier": "Q78", "position": [1, 4], "step": 86, "ordinal_position": 87}, {"identifier": "I60", "position": [1, 5], "step": 87, "ordinal_position": 88}, {"identifier": "W11", "position": [2, 5], "step": 88, "ordinal_position": 89}, {"identifier": "T41", "position": [3, 5], "step": 89, "ordinal_position": 90}, {"identifier": "C54", "position": [4, 5], "step": 90, "ordinal_position": 91}, {"identifier": "W57", "position": [5, 5], "step": 91, "ordinal_position": 92}, {"identifier": "U77", "position": [5, 4], "step": 92, "ordinal_position": 93}, {"identifier": "G18", "position": [5, 3], "step": 93, "ordinal_position": 94}, {"identifier": "F63", "position": [5, 2], "step": 94, "ordinal_position": 95}, {"identifier": "M66", "position": [5, 1], "step": 95, "ordinal_position": 96}, {"identifier": "I05", "position": [4, 1], "step": 96, "ordinal_position": 97}, {"identifier": "C83", "position": [3, 1], "step": 97, "ordinal_position": 98}, {"identifier": "W89", "position": [2, 1], "step": 98, "ordinal_position": 99}, {"identifier": "V82", "position": [1, 1], "step": 99, "ordinal_position": 100}, {"identifier": "F72", "position": [1, 2], "step": 100, "ordinal_position": 101}, {"identifier": "Q44", "position": [1, 3], "step": 101, "ordinal_position": 102}, {"identifier": "Q78", "position": [1, 4], "step": 102, "ordinal_position": 103}, {"identifier": "I60", "position": [1, 5], "step": 103, "ordinal_position": 104}, {"identifier": "W11", "position": [2, 5], "step": 104, "ordinal_position": 105}, {"identifier": "T41", "position": [3, 5], "step": 105, "ordinal_position": 106}, {"identifier": "C54", "position": [4, 5], "step": 106, "ordinal_position": 107}, {"identifier": "W57", "position": [5, 5], "step": 107, "ordinal_position": 108}, {"identifier": "U77", "position": [5, 4], "step": 108, "ordinal_position": 109}, {"identifier": "G18", "position": [5, 3], "step": 109, "ordinal_position": 110}, {"identifier": "F63", "position": [5, 2], "step": 110, "ordinal_position": 111}, {"identifier": "M66", "position": [5, 1], "step": 111, "ordinal_position": 112}, {"identifier": "I05", "position": [4, 1], "step": 112, "ordinal_position": 113}, {"identifier": "C83", "position": [3, 1], "step": 113, "ordinal_position": 114}, {"identifier": "W89", "position": [2, 1], "step": 114, "ordinal_position": 115}, {"identifier": "V82", "position": [1, 1], "step": 115, "ordinal_position": 116}, {"identifier": "F72", "position": [1, 2], "step": 116, "ordinal_position": 117}, {"identifier": "Q44", "position": [1, 3], "step": 117, "ordinal_position": 118}, {"identifier": "Q78", "position": [1, 4], "step": 118, "ordinal_position": 119}, {"identifier": "I60", "position": [1, 5], "step": 119, "ordinal_position": 120}, {"identifier": "W11", "position": [2, 5], "step": 120, "ordinal_position": 121}, {"identifier": "T41", "position": [3, 5], "step": 121, "ordinal_position": 122}, {"identifier": "C54", "position": [4, 5], "step": 122, "ordinal_position": 123}, {"identifier": "W57", "position": [5, 5], "step": 123, "ordinal_position": 124}, {"identifier": "U77", "position": [5, 4], "step": 124, "ordinal_position": 125}, {"identifier": "G18", "position": [5, 3], "step": 125, "ordinal_position": 126}, {"identifier": "F63", "position": [5, 2], "step": 126, "ordinal_position": 127}, {"identifier": "M66", "position": [5, 1], "step": 127, "ordinal_position": 128}, {"identifier": "I05", "position": [4, 1], "step": 128, "ordinal_position": 129}, {"identifier": "C83", "position": [3, 1], "step": 129, "ordinal_position": 130}, {"identifier": "W89", "position": [2, 1], "step": 130, "ordinal_position": 131}, {"identifier": "V82", "position": [1, 1], "step": 131, "ordinal_position": 132}, {"identifier": "F72", "position": [1, 2], "step": 132, "ordinal_position": 133}, {"identifier": "Q44", "position": [1, 3], "step": 133, "ordinal_position": 134}, {"identifier": "Q78", "position": [1, 4], "step": 134, "ordinal_position": 135}, {"identifier": "I60", "position": [1, 5], "step": 135, "ordinal_position": 136}, {"identifier": "W11", "position": [2, 5], "step": 136, "ordinal_position": 137}, {"identifier": "T41", "position": [3, 5], "step": 137, "ordinal_position": 138}, {"identifier": "C54", "position": [4, 5], "step": 138, "ordinal_position": 139}, {"identifier": "W57", "position": [5, 5], "step": 139, "ordinal_position": 140}, {"identifier": "U77", "position": [5, 4], "step": 140, "ordinal_position": 141}, {"identifier": "G18", "position": [5, 3], "step": 141, "ordinal_position": 142}, {"identifier": "F63", "position": [5, 2], "step": 142, "ordinal_position": 143}, {"identifier": "M66", "position": [5, 1], "step": 143, "ordinal_position": 144}, {"identifier": "I05", "position": [4, 1], "step": 144, "ordinal_position": 145}, {"identifier": "C83", "position": [3, 1], "step": 145, "ordinal_position": 146}, {"identifier": "W89", "position": [2, 1], "step": 146, "ordinal_position": 147}, {"identifier": "V82", "position": [1, 1], "step": 147, "ordinal_position": 148}, {"identifier": "F72", "position": [1, 2], "step": 148, "ordinal_position": 149}, {"identifier": "Q44", "position": [1, 3], "step": 149, "ordinal_position": 150}, {"identifier": "Q78", "position": [1, 4], "step": 150, "ordinal_position": 151}, {"identifier": "I60", "position": [1, 5], "step": 151, "ordinal_position": 152}, {"identifier": "W11", "position": [2, 5], "step": 152, "ordinal_position": 153}, {"identifier": "T41", "position": [3, 5], "step": 153, "ordinal_position": 154}, {"identifier": "C54", "position": [4, 5], "step": 154, "ordinal_position": 155}, {"identifier": "W57", "position": [5, 5], "step": 155, "ordinal_position": 156}, {"identifier": "U77", "position": [5, 4], "step": 156, "ordinal_position": 157}, {"identifier": "G18", "position": [5, 3], "step": 157, "ordinal_position": 158}, {"identifier": "F63", "position": [5, 2], "step": 158, "ordinal_position": 159}, {"identifier": "M66", "position": [5, 1], "step": 159, "ordinal_position": 160}, {"identifier": "I05", "position": [4, 1], "step": 160, "ordinal_position": 161}, {"identifier": "C83", "position": [3, 1], "step": 161, "ordinal_position": 162}, {"identifier": "W89", "position": [2, 1], "step": 162, "ordinal_position": 163}, {"identifier": "V82", "position": [1, 1], "step": 163, "ordinal_position": 164}, {"identifier": "F72", "position": [1, 2], "step": 164, "ordinal_position": 165}, {"identifier": "Q44", "position": [1, 3], "step": 165, "ordinal_position": 166}, {"identifier": "Q78", "position": [1, 4], "step": 166, "ordinal_position": 167}, {"identifier": "I60", "position": [1, 5], "step": 167, "ordinal_position": 168}, {"identifier": "W11", "position": [2, 5], "step": 168, "ordinal_position": 169}, {"identifier": "T41", "position": [3, 5], "step": 169, "ordinal_position": 170}, {"identifier": "C54", "position": [4, 5], "step": 170, "ordinal_position": 171}, {"identifier": "W57", "position": [5, 5], "step": 171, "ordinal_position": 172}, {"identifier": "U77", "position": [5, 4], "step": 172, "ordinal_position": 173}, {"identifier": "G18", "position": [5, 3], "step": 173, "ordinal_position": 174}, {"identifier": "F63", "position": [5, 2], "step": 174, "ordinal_position": 175}, {"identifier": "M66", "position": [5, 1], "step": 175, "ordinal_position": 176}, {"identifier": "I05", "position": [4, 1], "step": 176, "ordinal_position": 177}, {"identifier": "C83", "position": [3, 1], "step": 177, "ordinal_position": 178}, {"identifier": "W89", "position": [2, 1], "step": 178, "ordinal_position": 179}, {"identifier": "V82", "position": [1, 1], "step": 179, "ordinal_position": 180}, {"identifier": "F72", "position": [1, 2], "step": 180, "ordinal_position": 181}, {"identifier": "Q44", "position": [1, 3], "step": 181, "ordinal_position": 182}, {"identifier": "Q78", "position": [1, 4], "step": 182, "ordinal_position": 183}, {"identifier": "I60", "position": [1, 5], "step": 183, "ordinal_position": 184}, {"identifier": "W11", "position": [2, 5], "step": 184, "ordinal_position": 185}, {"identifier": "T41", "position": [3, 5], "step": 185, "ordinal_position": 186}, {"identifier": "C54", "position": [4, 5], "step": 186, "ordinal_position": 187}, {"identifier": "W57", "position": [5, 5], "step": 187, "ordinal_position": 188}, {"identifier": "U77", "position": [5, 4], "step": 188, "ordinal_position": 189}, {"identifier": "G18", "position": [5, 3], "step": 189, "ordinal_position": 190}, {"identifier": "F63", "position": [5, 2], "step": 190, "ordinal_position": 191}, {"identifier": "M66", "position": [5, 1], "step": 191, "ordinal_position": 192}, {"identifier": "I05", "position": [4, 1], "step": 192, "ordinal_position": 193}, {"identifier": "C83", "position": [3, 1], "step": 193, "ordinal_position": 194}, {"identifier": "W89", "position": [2, 1], "step": 194, "ordinal_position": 195}, {"identifier": "V82", "position": [1, 1], "step": 195, "ordinal_position": 196}, {"identifier": "F72", "position": [1, 2], "step": 196, "ordinal_position": 197}, {"identifier": "Q44", "position": [1, 3], "step": 197, "ordinal_position": 198}, {"identifier": "Q78", "position": [1, 4], "step": 198, "ordinal_position": 199}, {"identifier": "I60", "position": [1, 5], "step": 199, "ordinal_position": 200}, {"identifier": "W11", "position": [2, 5], "step": 200, "ordinal_position": 201}, {"identifier": "T41", "position": [3, 5], "step": 201, "ordinal_position": 202}, {"identifier": "C54", "position": [4, 5], "step": 202, "ordinal_position": 203}, {"identifier": "W57", "position": [5, 5], "step": 203, "ordinal_position": 204}, {"identifier": "U77", "position": [5, 4], "step": 204, "ordinal_position": 205}, {"identifier": "G18", "position": [5, 3], "step": 205, "ordinal_position": 206}, {"identifier": "F63", "position": [5, 2], "step": 206, "ordinal_position": 207}, {"identifier": "M66", "position": [5, 1], "step": 207, "ordinal_position": 208}, {"identifier": "I05", "position": [4, 1], "step": 208, "ordinal_position": 209}, {"identifier": "C83", "position": [3, 1], "step": 209, "ordinal_position": 210}, {"identifier": "W89", "position": [2, 1], "step": 210, "ordinal_position": 211}, {"identifier": "V82", "position": [1, 1], "step": 211, "ordinal_position": 212}, {"identifier": "F72", "position": [1, 2], "step": 212, "ordinal_position": 213}, {"identifier": "Q44", "position": [1, 3], "step": 213, "ordinal_position": 214}, {"identifier": "Q78", "position": [1, 4], "step": 214, "ordinal_position": 215}, {"identifier": "I60", "position": [1, 5], "step": 215, "ordinal_position": 216}, {"identifier": "W11", "position": [2, 5], "step": 216, "ordinal_position": 217}, {"identifier": "T41", "position": [3, 5], "step": 217, "ordinal_position": 218}, {"identifier": "C54", "position": [4, 5], "step": 218, "ordinal_position": 219}, {"identifier": "W57", "position": [5, 5], "step": 219, "ordinal_position": 220}, {"identifier": "U77", "position": [5, 4], "step": 220, "ordinal_position": 221}, {"identifier": "G18", "position": [5, 3], "step": 221, "ordinal_position": 222}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 222, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_017.json"}} {"qa_id": "73ce901d46d3477e8662d10c54d1ba95", "image_id": "L3-MazeLoop-test_7x7_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F05, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 120th position in this traversal?", "start_object_id": "F05", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [120], "ordinal_strings": ["120th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "V82", "traversal_path": [{"identifier": "F05", "position": [3, 4], "step": 0, "ordinal_position": 1}, {"identifier": "T41", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "W11", "position": [2, 5], "step": 2, "ordinal_position": 3}, {"identifier": "I60", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "Q78", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "Q44", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "F72", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "V82", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "W89", "position": [2, 1], "step": 8, "ordinal_position": 9}, {"identifier": "C83", "position": [3, 1], "step": 9, "ordinal_position": 10}, {"identifier": "I05", "position": [4, 1], "step": 10, "ordinal_position": 11}, {"identifier": "M66", "position": [5, 1], "step": 11, "ordinal_position": 12}, {"identifier": "F63", "position": [5, 2], "step": 12, "ordinal_position": 13}, {"identifier": "G18", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "U77", "position": [5, 4], "step": 14, "ordinal_position": 15}, {"identifier": "W57", "position": [5, 5], "step": 15, "ordinal_position": 16}, {"identifier": "C54", "position": [4, 5], "step": 16, "ordinal_position": 17}, {"identifier": "T41", "position": [3, 5], "step": 17, "ordinal_position": 18}, {"identifier": "W11", "position": [2, 5], "step": 18, "ordinal_position": 19}, {"identifier": "I60", "position": [1, 5], "step": 19, "ordinal_position": 20}, {"identifier": "Q78", "position": [1, 4], "step": 20, "ordinal_position": 21}, {"identifier": "Q44", "position": [1, 3], "step": 21, "ordinal_position": 22}, {"identifier": "F72", "position": [1, 2], "step": 22, "ordinal_position": 23}, {"identifier": "V82", "position": [1, 1], "step": 23, "ordinal_position": 24}, {"identifier": "W89", "position": [2, 1], "step": 24, "ordinal_position": 25}, {"identifier": "C83", "position": [3, 1], "step": 25, "ordinal_position": 26}, {"identifier": "I05", "position": [4, 1], "step": 26, "ordinal_position": 27}, {"identifier": "M66", "position": [5, 1], "step": 27, "ordinal_position": 28}, {"identifier": "F63", "position": [5, 2], "step": 28, "ordinal_position": 29}, {"identifier": "G18", "position": [5, 3], "step": 29, "ordinal_position": 30}, {"identifier": "U77", "position": [5, 4], "step": 30, "ordinal_position": 31}, {"identifier": "W57", "position": [5, 5], "step": 31, "ordinal_position": 32}, {"identifier": "C54", "position": [4, 5], "step": 32, "ordinal_position": 33}, {"identifier": "T41", "position": [3, 5], "step": 33, "ordinal_position": 34}, {"identifier": "W11", "position": [2, 5], "step": 34, "ordinal_position": 35}, {"identifier": "I60", "position": [1, 5], "step": 35, "ordinal_position": 36}, {"identifier": "Q78", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "Q44", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "F72", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "V82", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "W89", "position": [2, 1], "step": 40, "ordinal_position": 41}, {"identifier": "C83", "position": [3, 1], "step": 41, "ordinal_position": 42}, {"identifier": "I05", "position": [4, 1], "step": 42, "ordinal_position": 43}, {"identifier": "M66", "position": [5, 1], "step": 43, "ordinal_position": 44}, {"identifier": "F63", "position": [5, 2], "step": 44, "ordinal_position": 45}, {"identifier": "G18", "position": [5, 3], "step": 45, "ordinal_position": 46}, {"identifier": "U77", "position": [5, 4], "step": 46, "ordinal_position": 47}, {"identifier": "W57", "position": [5, 5], "step": 47, "ordinal_position": 48}, {"identifier": "C54", "position": [4, 5], "step": 48, "ordinal_position": 49}, {"identifier": "T41", "position": [3, 5], "step": 49, "ordinal_position": 50}, {"identifier": "W11", "position": [2, 5], "step": 50, "ordinal_position": 51}, {"identifier": "I60", "position": [1, 5], "step": 51, "ordinal_position": 52}, {"identifier": "Q78", "position": [1, 4], "step": 52, "ordinal_position": 53}, {"identifier": "Q44", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "F72", "position": [1, 2], "step": 54, "ordinal_position": 55}, {"identifier": "V82", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "W89", "position": [2, 1], "step": 56, "ordinal_position": 57}, {"identifier": "C83", "position": [3, 1], "step": 57, "ordinal_position": 58}, {"identifier": "I05", "position": [4, 1], "step": 58, "ordinal_position": 59}, {"identifier": "M66", "position": [5, 1], "step": 59, "ordinal_position": 60}, {"identifier": "F63", "position": [5, 2], "step": 60, "ordinal_position": 61}, {"identifier": "G18", "position": [5, 3], "step": 61, "ordinal_position": 62}, {"identifier": "U77", "position": [5, 4], "step": 62, "ordinal_position": 63}, {"identifier": "W57", "position": [5, 5], "step": 63, "ordinal_position": 64}, {"identifier": "C54", "position": [4, 5], "step": 64, "ordinal_position": 65}, {"identifier": "T41", "position": [3, 5], "step": 65, "ordinal_position": 66}, {"identifier": "W11", "position": [2, 5], "step": 66, "ordinal_position": 67}, {"identifier": "I60", "position": [1, 5], "step": 67, "ordinal_position": 68}, {"identifier": "Q78", "position": [1, 4], "step": 68, "ordinal_position": 69}, {"identifier": "Q44", "position": [1, 3], "step": 69, "ordinal_position": 70}, {"identifier": "F72", "position": [1, 2], "step": 70, "ordinal_position": 71}, {"identifier": "V82", "position": [1, 1], "step": 71, "ordinal_position": 72}, {"identifier": "W89", "position": [2, 1], "step": 72, "ordinal_position": 73}, {"identifier": "C83", "position": [3, 1], "step": 73, "ordinal_position": 74}, {"identifier": "I05", "position": [4, 1], "step": 74, "ordinal_position": 75}, {"identifier": "M66", "position": [5, 1], "step": 75, "ordinal_position": 76}, {"identifier": "F63", "position": [5, 2], "step": 76, "ordinal_position": 77}, {"identifier": "G18", "position": [5, 3], "step": 77, "ordinal_position": 78}, {"identifier": "U77", "position": [5, 4], "step": 78, "ordinal_position": 79}, {"identifier": "W57", "position": [5, 5], "step": 79, "ordinal_position": 80}, {"identifier": "C54", "position": [4, 5], "step": 80, "ordinal_position": 81}, {"identifier": "T41", "position": [3, 5], "step": 81, "ordinal_position": 82}, {"identifier": "W11", "position": [2, 5], "step": 82, "ordinal_position": 83}, {"identifier": "I60", "position": [1, 5], "step": 83, "ordinal_position": 84}, {"identifier": "Q78", "position": [1, 4], "step": 84, "ordinal_position": 85}, {"identifier": "Q44", "position": [1, 3], "step": 85, "ordinal_position": 86}, {"identifier": "F72", "position": [1, 2], "step": 86, "ordinal_position": 87}, {"identifier": "V82", "position": [1, 1], "step": 87, "ordinal_position": 88}, {"identifier": "W89", "position": [2, 1], "step": 88, "ordinal_position": 89}, {"identifier": "C83", "position": [3, 1], "step": 89, "ordinal_position": 90}, {"identifier": "I05", "position": [4, 1], "step": 90, "ordinal_position": 91}, {"identifier": "M66", "position": [5, 1], "step": 91, "ordinal_position": 92}, {"identifier": "F63", "position": [5, 2], "step": 92, "ordinal_position": 93}, {"identifier": "G18", "position": [5, 3], "step": 93, "ordinal_position": 94}, {"identifier": "U77", "position": [5, 4], "step": 94, "ordinal_position": 95}, {"identifier": "W57", "position": [5, 5], "step": 95, "ordinal_position": 96}, {"identifier": "C54", "position": [4, 5], "step": 96, "ordinal_position": 97}, {"identifier": "T41", "position": [3, 5], "step": 97, "ordinal_position": 98}, {"identifier": "W11", "position": [2, 5], "step": 98, "ordinal_position": 99}, {"identifier": "I60", "position": [1, 5], "step": 99, "ordinal_position": 100}, {"identifier": "Q78", "position": [1, 4], "step": 100, "ordinal_position": 101}, {"identifier": "Q44", "position": [1, 3], "step": 101, "ordinal_position": 102}, {"identifier": "F72", "position": [1, 2], "step": 102, "ordinal_position": 103}, {"identifier": "V82", "position": [1, 1], "step": 103, "ordinal_position": 104}, {"identifier": "W89", "position": [2, 1], "step": 104, "ordinal_position": 105}, {"identifier": "C83", "position": [3, 1], "step": 105, "ordinal_position": 106}, {"identifier": "I05", "position": [4, 1], "step": 106, "ordinal_position": 107}, {"identifier": "M66", "position": [5, 1], "step": 107, "ordinal_position": 108}, {"identifier": "F63", "position": [5, 2], "step": 108, "ordinal_position": 109}, {"identifier": "G18", "position": [5, 3], "step": 109, "ordinal_position": 110}, {"identifier": "U77", "position": [5, 4], "step": 110, "ordinal_position": 111}, {"identifier": "W57", "position": [5, 5], "step": 111, "ordinal_position": 112}, {"identifier": "C54", "position": [4, 5], "step": 112, "ordinal_position": 113}, {"identifier": "T41", "position": [3, 5], "step": 113, "ordinal_position": 114}, {"identifier": "W11", "position": [2, 5], "step": 114, "ordinal_position": 115}, {"identifier": "I60", "position": [1, 5], "step": 115, "ordinal_position": 116}, {"identifier": "Q78", "position": [1, 4], "step": 116, "ordinal_position": 117}, {"identifier": "Q44", "position": [1, 3], "step": 117, "ordinal_position": 118}, {"identifier": "F72", "position": [1, 2], "step": 118, "ordinal_position": 119}, {"identifier": "V82", "position": [1, 1], "step": 119, "ordinal_position": 120}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 120, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_017.json"}} {"qa_id": "f208b8317f14423c87f36c92909e9128", "image_id": "L3-MazeLoop-test_7x7_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M66, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 243rd position in this traversal?", "start_object_id": "M66", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [243], "ordinal_strings": ["243rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "C83", "traversal_path": [{"identifier": "M66", "position": [5, 1], "step": 0, "ordinal_position": 1}, {"identifier": "I05", "position": [4, 1], "step": 1, "ordinal_position": 2}, {"identifier": "C83", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "W89", "position": [2, 1], "step": 3, "ordinal_position": 4}, {"identifier": "V82", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "F72", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "Q44", "position": [1, 3], "step": 6, "ordinal_position": 7}, {"identifier": "Q78", "position": [1, 4], "step": 7, "ordinal_position": 8}, {"identifier": "I60", "position": [1, 5], "step": 8, "ordinal_position": 9}, {"identifier": "W11", "position": [2, 5], "step": 9, "ordinal_position": 10}, {"identifier": "T41", "position": [3, 5], "step": 10, "ordinal_position": 11}, {"identifier": "C54", "position": [4, 5], "step": 11, "ordinal_position": 12}, {"identifier": "W57", "position": [5, 5], "step": 12, "ordinal_position": 13}, {"identifier": "U77", "position": [5, 4], "step": 13, "ordinal_position": 14}, {"identifier": "G18", "position": [5, 3], "step": 14, "ordinal_position": 15}, {"identifier": "F63", "position": [5, 2], "step": 15, "ordinal_position": 16}, {"identifier": "M66", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "I05", "position": [4, 1], "step": 17, "ordinal_position": 18}, {"identifier": "C83", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "W89", "position": [2, 1], "step": 19, "ordinal_position": 20}, {"identifier": "V82", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "F72", "position": [1, 2], "step": 21, "ordinal_position": 22}, {"identifier": "Q44", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "Q78", "position": [1, 4], "step": 23, "ordinal_position": 24}, {"identifier": "I60", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "W11", "position": [2, 5], "step": 25, "ordinal_position": 26}, {"identifier": "T41", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "C54", "position": [4, 5], "step": 27, "ordinal_position": 28}, {"identifier": "W57", "position": [5, 5], "step": 28, "ordinal_position": 29}, {"identifier": "U77", "position": [5, 4], "step": 29, "ordinal_position": 30}, {"identifier": "G18", "position": [5, 3], "step": 30, "ordinal_position": 31}, {"identifier": "F63", "position": [5, 2], "step": 31, "ordinal_position": 32}, {"identifier": "M66", "position": [5, 1], "step": 32, "ordinal_position": 33}, {"identifier": "I05", "position": [4, 1], "step": 33, "ordinal_position": 34}, {"identifier": "C83", "position": [3, 1], "step": 34, "ordinal_position": 35}, {"identifier": "W89", "position": [2, 1], "step": 35, "ordinal_position": 36}, {"identifier": "V82", "position": [1, 1], "step": 36, "ordinal_position": 37}, {"identifier": "F72", "position": [1, 2], "step": 37, "ordinal_position": 38}, {"identifier": "Q44", "position": [1, 3], "step": 38, "ordinal_position": 39}, {"identifier": "Q78", "position": [1, 4], "step": 39, "ordinal_position": 40}, {"identifier": "I60", "position": [1, 5], "step": 40, "ordinal_position": 41}, {"identifier": "W11", "position": [2, 5], "step": 41, "ordinal_position": 42}, {"identifier": "T41", "position": [3, 5], "step": 42, "ordinal_position": 43}, {"identifier": "C54", "position": [4, 5], "step": 43, "ordinal_position": 44}, {"identifier": "W57", "position": [5, 5], "step": 44, "ordinal_position": 45}, {"identifier": "U77", "position": [5, 4], "step": 45, "ordinal_position": 46}, {"identifier": "G18", "position": [5, 3], "step": 46, "ordinal_position": 47}, {"identifier": "F63", "position": [5, 2], "step": 47, "ordinal_position": 48}, {"identifier": "M66", "position": [5, 1], "step": 48, "ordinal_position": 49}, {"identifier": "I05", "position": [4, 1], "step": 49, "ordinal_position": 50}, {"identifier": "C83", "position": [3, 1], "step": 50, "ordinal_position": 51}, {"identifier": "W89", "position": [2, 1], "step": 51, "ordinal_position": 52}, {"identifier": "V82", "position": [1, 1], "step": 52, "ordinal_position": 53}, {"identifier": "F72", "position": [1, 2], "step": 53, "ordinal_position": 54}, {"identifier": "Q44", "position": [1, 3], "step": 54, "ordinal_position": 55}, {"identifier": "Q78", "position": [1, 4], "step": 55, "ordinal_position": 56}, {"identifier": "I60", "position": [1, 5], "step": 56, "ordinal_position": 57}, {"identifier": "W11", "position": [2, 5], "step": 57, "ordinal_position": 58}, {"identifier": "T41", "position": [3, 5], "step": 58, "ordinal_position": 59}, {"identifier": "C54", "position": [4, 5], "step": 59, "ordinal_position": 60}, {"identifier": "W57", "position": [5, 5], "step": 60, "ordinal_position": 61}, {"identifier": "U77", "position": [5, 4], "step": 61, "ordinal_position": 62}, {"identifier": "G18", "position": [5, 3], "step": 62, "ordinal_position": 63}, {"identifier": "F63", "position": [5, 2], "step": 63, "ordinal_position": 64}, {"identifier": "M66", "position": [5, 1], "step": 64, "ordinal_position": 65}, {"identifier": "I05", "position": [4, 1], "step": 65, "ordinal_position": 66}, {"identifier": "C83", "position": [3, 1], "step": 66, "ordinal_position": 67}, {"identifier": "W89", "position": [2, 1], "step": 67, "ordinal_position": 68}, {"identifier": "V82", "position": [1, 1], "step": 68, "ordinal_position": 69}, {"identifier": "F72", "position": [1, 2], "step": 69, "ordinal_position": 70}, {"identifier": "Q44", "position": [1, 3], "step": 70, "ordinal_position": 71}, {"identifier": "Q78", "position": [1, 4], "step": 71, "ordinal_position": 72}, {"identifier": "I60", "position": [1, 5], "step": 72, "ordinal_position": 73}, {"identifier": "W11", "position": [2, 5], "step": 73, "ordinal_position": 74}, {"identifier": "T41", "position": [3, 5], "step": 74, "ordinal_position": 75}, {"identifier": "C54", "position": [4, 5], "step": 75, "ordinal_position": 76}, {"identifier": "W57", "position": [5, 5], "step": 76, "ordinal_position": 77}, {"identifier": "U77", "position": [5, 4], "step": 77, "ordinal_position": 78}, {"identifier": "G18", "position": [5, 3], "step": 78, "ordinal_position": 79}, {"identifier": "F63", "position": [5, 2], "step": 79, "ordinal_position": 80}, {"identifier": "M66", "position": [5, 1], "step": 80, "ordinal_position": 81}, {"identifier": "I05", "position": [4, 1], "step": 81, "ordinal_position": 82}, {"identifier": "C83", "position": [3, 1], "step": 82, "ordinal_position": 83}, {"identifier": "W89", "position": [2, 1], "step": 83, "ordinal_position": 84}, {"identifier": "V82", "position": [1, 1], "step": 84, "ordinal_position": 85}, {"identifier": "F72", "position": [1, 2], "step": 85, "ordinal_position": 86}, {"identifier": "Q44", "position": [1, 3], "step": 86, "ordinal_position": 87}, {"identifier": "Q78", "position": [1, 4], "step": 87, "ordinal_position": 88}, {"identifier": "I60", "position": [1, 5], "step": 88, "ordinal_position": 89}, {"identifier": "W11", "position": [2, 5], "step": 89, "ordinal_position": 90}, {"identifier": "T41", "position": [3, 5], "step": 90, "ordinal_position": 91}, {"identifier": "C54", "position": [4, 5], "step": 91, "ordinal_position": 92}, {"identifier": "W57", "position": [5, 5], "step": 92, "ordinal_position": 93}, {"identifier": "U77", "position": [5, 4], "step": 93, "ordinal_position": 94}, {"identifier": "G18", "position": [5, 3], "step": 94, "ordinal_position": 95}, {"identifier": "F63", "position": [5, 2], "step": 95, "ordinal_position": 96}, {"identifier": "M66", "position": [5, 1], "step": 96, "ordinal_position": 97}, {"identifier": "I05", "position": [4, 1], "step": 97, "ordinal_position": 98}, {"identifier": 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"position": [1, 5], "step": 184, "ordinal_position": 185}, {"identifier": "W11", "position": [2, 5], "step": 185, "ordinal_position": 186}, {"identifier": "T41", "position": [3, 5], "step": 186, "ordinal_position": 187}, {"identifier": "C54", "position": [4, 5], "step": 187, "ordinal_position": 188}, {"identifier": "W57", "position": [5, 5], "step": 188, "ordinal_position": 189}, {"identifier": "U77", "position": [5, 4], "step": 189, "ordinal_position": 190}, {"identifier": "G18", "position": [5, 3], "step": 190, "ordinal_position": 191}, {"identifier": "F63", "position": [5, 2], "step": 191, "ordinal_position": 192}, {"identifier": "M66", "position": [5, 1], "step": 192, "ordinal_position": 193}, {"identifier": "I05", "position": [4, 1], "step": 193, "ordinal_position": 194}, {"identifier": "C83", "position": [3, 1], "step": 194, "ordinal_position": 195}, {"identifier": "W89", "position": [2, 1], "step": 195, "ordinal_position": 196}, {"identifier": "V82", "position": [1, 1], "step": 196, "ordinal_position": 197}, {"identifier": "F72", "position": [1, 2], "step": 197, "ordinal_position": 198}, {"identifier": "Q44", "position": [1, 3], "step": 198, "ordinal_position": 199}, {"identifier": "Q78", "position": [1, 4], "step": 199, "ordinal_position": 200}, {"identifier": "I60", "position": [1, 5], "step": 200, "ordinal_position": 201}, {"identifier": "W11", "position": [2, 5], "step": 201, "ordinal_position": 202}, {"identifier": "T41", "position": [3, 5], "step": 202, "ordinal_position": 203}, {"identifier": "C54", "position": [4, 5], "step": 203, "ordinal_position": 204}, {"identifier": "W57", "position": [5, 5], "step": 204, "ordinal_position": 205}, {"identifier": "U77", "position": [5, 4], "step": 205, "ordinal_position": 206}, {"identifier": "G18", "position": [5, 3], "step": 206, "ordinal_position": 207}, {"identifier": "F63", "position": [5, 2], "step": 207, "ordinal_position": 208}, {"identifier": "M66", "position": [5, 1], "step": 208, "ordinal_position": 209}, {"identifier": "I05", "position": [4, 1], "step": 209, "ordinal_position": 210}, {"identifier": "C83", "position": [3, 1], "step": 210, "ordinal_position": 211}, {"identifier": "W89", "position": [2, 1], "step": 211, "ordinal_position": 212}, {"identifier": "V82", "position": [1, 1], "step": 212, "ordinal_position": 213}, {"identifier": "F72", "position": [1, 2], "step": 213, "ordinal_position": 214}, {"identifier": "Q44", "position": [1, 3], "step": 214, "ordinal_position": 215}, {"identifier": "Q78", "position": [1, 4], "step": 215, "ordinal_position": 216}, {"identifier": "I60", "position": [1, 5], "step": 216, "ordinal_position": 217}, {"identifier": "W11", "position": [2, 5], "step": 217, "ordinal_position": 218}, {"identifier": "T41", "position": [3, 5], "step": 218, "ordinal_position": 219}, {"identifier": "C54", "position": [4, 5], "step": 219, "ordinal_position": 220}, {"identifier": "W57", "position": [5, 5], "step": 220, "ordinal_position": 221}, {"identifier": "U77", "position": [5, 4], "step": 221, "ordinal_position": 222}, {"identifier": "G18", "position": [5, 3], "step": 222, "ordinal_position": 223}, {"identifier": "F63", "position": [5, 2], "step": 223, "ordinal_position": 224}, {"identifier": "M66", "position": [5, 1], "step": 224, "ordinal_position": 225}, {"identifier": "I05", "position": [4, 1], "step": 225, "ordinal_position": 226}, {"identifier": "C83", "position": [3, 1], "step": 226, "ordinal_position": 227}, {"identifier": "W89", "position": [2, 1], "step": 227, "ordinal_position": 228}, {"identifier": "V82", "position": [1, 1], "step": 228, "ordinal_position": 229}, {"identifier": "F72", "position": [1, 2], "step": 229, "ordinal_position": 230}, {"identifier": "Q44", "position": [1, 3], "step": 230, "ordinal_position": 231}, {"identifier": "Q78", "position": [1, 4], "step": 231, "ordinal_position": 232}, {"identifier": "I60", "position": [1, 5], "step": 232, "ordinal_position": 233}, {"identifier": "W11", "position": [2, 5], "step": 233, "ordinal_position": 234}, {"identifier": "T41", "position": [3, 5], "step": 234, "ordinal_position": 235}, {"identifier": "C54", "position": [4, 5], "step": 235, "ordinal_position": 236}, {"identifier": "W57", "position": [5, 5], "step": 236, "ordinal_position": 237}, {"identifier": "U77", "position": [5, 4], "step": 237, "ordinal_position": 238}, {"identifier": "G18", "position": [5, 3], "step": 238, "ordinal_position": 239}, {"identifier": "F63", "position": [5, 2], "step": 239, "ordinal_position": 240}, {"identifier": "M66", "position": [5, 1], "step": 240, "ordinal_position": 241}, {"identifier": "I05", "position": [4, 1], "step": 241, "ordinal_position": 242}, {"identifier": "C83", "position": [3, 1], "step": 242, "ordinal_position": 243}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 243, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_017.json"}} {"qa_id": "dadd2b6aacc748d993d77d286b439b4e", "image_id": "L3-MazeLoop-test_7x7_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C83, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 180th position in this traversal?", "start_object_id": "C83", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [180], "ordinal_strings": ["180th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "F72", "traversal_path": [{"identifier": "C83", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "W89", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "V82", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "F72", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "Q44", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "Q78", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "I60", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "W11", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "T41", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "C54", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "W57", "position": [5, 5], "step": 10, "ordinal_position": 11}, {"identifier": "U77", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "G18", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "F63", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "M66", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "I05", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "C83", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "W89", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "V82", "position": [1, 1], "step": 18, "ordinal_position": 19}, {"identifier": "F72", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "Q44", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "Q78", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "I60", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "W11", "position": [2, 5], "step": 23, "ordinal_position": 24}, {"identifier": "T41", "position": [3, 5], "step": 24, "ordinal_position": 25}, {"identifier": "C54", "position": [4, 5], "step": 25, "ordinal_position": 26}, {"identifier": "W57", "position": [5, 5], "step": 26, "ordinal_position": 27}, {"identifier": "U77", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "G18", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "F63", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "M66", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "I05", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "C83", "position": [3, 1], "step": 32, "ordinal_position": 33}, {"identifier": "W89", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "V82", "position": [1, 1], "step": 34, "ordinal_position": 35}, {"identifier": "F72", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "Q44", "position": [1, 3], "step": 36, "ordinal_position": 37}, {"identifier": "Q78", "position": [1, 4], "step": 37, "ordinal_position": 38}, {"identifier": "I60", "position": [1, 5], "step": 38, "ordinal_position": 39}, {"identifier": "W11", "position": [2, 5], "step": 39, "ordinal_position": 40}, {"identifier": "T41", "position": [3, 5], "step": 40, "ordinal_position": 41}, {"identifier": "C54", "position": [4, 5], "step": 41, "ordinal_position": 42}, {"identifier": "W57", "position": [5, 5], "step": 42, "ordinal_position": 43}, {"identifier": "U77", "position": [5, 4], "step": 43, "ordinal_position": 44}, {"identifier": "G18", "position": [5, 3], "step": 44, "ordinal_position": 45}, {"identifier": "F63", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "M66", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "I05", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "C83", "position": [3, 1], "step": 48, "ordinal_position": 49}, {"identifier": "W89", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "V82", "position": [1, 1], "step": 50, "ordinal_position": 51}, {"identifier": "F72", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "Q44", "position": [1, 3], "step": 52, "ordinal_position": 53}, {"identifier": "Q78", "position": [1, 4], "step": 53, "ordinal_position": 54}, {"identifier": "I60", "position": [1, 5], "step": 54, "ordinal_position": 55}, {"identifier": "W11", "position": [2, 5], "step": 55, "ordinal_position": 56}, {"identifier": "T41", "position": [3, 5], "step": 56, "ordinal_position": 57}, {"identifier": "C54", "position": [4, 5], "step": 57, "ordinal_position": 58}, {"identifier": "W57", "position": [5, 5], "step": 58, "ordinal_position": 59}, {"identifier": "U77", "position": [5, 4], "step": 59, "ordinal_position": 60}, {"identifier": "G18", "position": [5, 3], "step": 60, "ordinal_position": 61}, {"identifier": "F63", "position": [5, 2], "step": 61, "ordinal_position": 62}, {"identifier": "M66", "position": [5, 1], "step": 62, "ordinal_position": 63}, {"identifier": "I05", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "C83", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "W89", "position": [2, 1], "step": 65, "ordinal_position": 66}, {"identifier": "V82", "position": [1, 1], "step": 66, "ordinal_position": 67}, {"identifier": "F72", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "Q44", "position": [1, 3], "step": 68, "ordinal_position": 69}, {"identifier": "Q78", "position": [1, 4], "step": 69, "ordinal_position": 70}, {"identifier": "I60", "position": [1, 5], "step": 70, "ordinal_position": 71}, {"identifier": "W11", "position": [2, 5], "step": 71, "ordinal_position": 72}, {"identifier": "T41", "position": [3, 5], "step": 72, "ordinal_position": 73}, {"identifier": "C54", "position": [4, 5], "step": 73, "ordinal_position": 74}, {"identifier": "W57", "position": [5, 5], "step": 74, "ordinal_position": 75}, {"identifier": "U77", "position": [5, 4], "step": 75, "ordinal_position": 76}, {"identifier": "G18", "position": [5, 3], "step": 76, "ordinal_position": 77}, {"identifier": "F63", "position": [5, 2], "step": 77, "ordinal_position": 78}, {"identifier": "M66", "position": [5, 1], "step": 78, "ordinal_position": 79}, {"identifier": "I05", "position": [4, 1], "step": 79, "ordinal_position": 80}, {"identifier": "C83", "position": [3, 1], "step": 80, "ordinal_position": 81}, {"identifier": "W89", "position": [2, 1], "step": 81, "ordinal_position": 82}, {"identifier": "V82", "position": [1, 1], "step": 82, "ordinal_position": 83}, {"identifier": "F72", "position": [1, 2], "step": 83, "ordinal_position": 84}, {"identifier": "Q44", "position": [1, 3], "step": 84, "ordinal_position": 85}, {"identifier": "Q78", "position": [1, 4], "step": 85, "ordinal_position": 86}, {"identifier": "I60", "position": [1, 5], "step": 86, "ordinal_position": 87}, {"identifier": "W11", "position": [2, 5], "step": 87, "ordinal_position": 88}, {"identifier": "T41", "position": [3, 5], "step": 88, "ordinal_position": 89}, {"identifier": "C54", "position": [4, 5], "step": 89, "ordinal_position": 90}, {"identifier": "W57", "position": [5, 5], "step": 90, "ordinal_position": 91}, {"identifier": "U77", "position": [5, 4], "step": 91, "ordinal_position": 92}, {"identifier": "G18", "position": [5, 3], "step": 92, "ordinal_position": 93}, {"identifier": "F63", "position": [5, 2], "step": 93, "ordinal_position": 94}, {"identifier": "M66", "position": [5, 1], "step": 94, "ordinal_position": 95}, {"identifier": "I05", "position": [4, 1], "step": 95, "ordinal_position": 96}, {"identifier": "C83", "position": [3, 1], "step": 96, "ordinal_position": 97}, {"identifier": "W89", "position": [2, 1], "step": 97, "ordinal_position": 98}, {"identifier": "V82", "position": [1, 1], "step": 98, "ordinal_position": 99}, {"identifier": "F72", "position": [1, 2], "step": 99, "ordinal_position": 100}, {"identifier": "Q44", "position": [1, 3], "step": 100, "ordinal_position": 101}, {"identifier": "Q78", "position": [1, 4], "step": 101, "ordinal_position": 102}, {"identifier": "I60", "position": [1, 5], "step": 102, "ordinal_position": 103}, {"identifier": "W11", "position": [2, 5], "step": 103, "ordinal_position": 104}, {"identifier": "T41", "position": [3, 5], "step": 104, "ordinal_position": 105}, {"identifier": "C54", "position": [4, 5], "step": 105, "ordinal_position": 106}, {"identifier": "W57", "position": [5, 5], "step": 106, "ordinal_position": 107}, {"identifier": "U77", "position": [5, 4], "step": 107, "ordinal_position": 108}, {"identifier": "G18", "position": [5, 3], "step": 108, "ordinal_position": 109}, {"identifier": "F63", "position": [5, 2], "step": 109, "ordinal_position": 110}, {"identifier": "M66", "position": [5, 1], "step": 110, "ordinal_position": 111}, {"identifier": "I05", "position": [4, 1], "step": 111, "ordinal_position": 112}, {"identifier": "C83", "position": [3, 1], "step": 112, "ordinal_position": 113}, {"identifier": "W89", "position": [2, 1], "step": 113, "ordinal_position": 114}, {"identifier": "V82", "position": [1, 1], "step": 114, "ordinal_position": 115}, {"identifier": "F72", "position": [1, 2], "step": 115, "ordinal_position": 116}, {"identifier": "Q44", "position": [1, 3], "step": 116, "ordinal_position": 117}, {"identifier": "Q78", "position": [1, 4], "step": 117, "ordinal_position": 118}, {"identifier": "I60", "position": [1, 5], "step": 118, "ordinal_position": 119}, {"identifier": "W11", "position": [2, 5], "step": 119, "ordinal_position": 120}, {"identifier": "T41", "position": [3, 5], "step": 120, "ordinal_position": 121}, {"identifier": "C54", "position": [4, 5], "step": 121, "ordinal_position": 122}, {"identifier": "W57", "position": [5, 5], "step": 122, "ordinal_position": 123}, {"identifier": "U77", "position": [5, 4], "step": 123, "ordinal_position": 124}, {"identifier": "G18", "position": [5, 3], "step": 124, "ordinal_position": 125}, {"identifier": "F63", "position": [5, 2], "step": 125, "ordinal_position": 126}, {"identifier": "M66", "position": [5, 1], "step": 126, "ordinal_position": 127}, {"identifier": "I05", "position": [4, 1], "step": 127, "ordinal_position": 128}, {"identifier": "C83", "position": [3, 1], "step": 128, "ordinal_position": 129}, {"identifier": "W89", "position": [2, 1], "step": 129, "ordinal_position": 130}, {"identifier": "V82", "position": [1, 1], "step": 130, "ordinal_position": 131}, {"identifier": "F72", "position": [1, 2], "step": 131, "ordinal_position": 132}, {"identifier": "Q44", "position": [1, 3], "step": 132, "ordinal_position": 133}, {"identifier": "Q78", "position": [1, 4], "step": 133, "ordinal_position": 134}, {"identifier": "I60", "position": [1, 5], "step": 134, "ordinal_position": 135}, {"identifier": "W11", "position": [2, 5], "step": 135, "ordinal_position": 136}, {"identifier": "T41", "position": [3, 5], "step": 136, "ordinal_position": 137}, {"identifier": "C54", "position": [4, 5], "step": 137, "ordinal_position": 138}, {"identifier": "W57", "position": [5, 5], "step": 138, "ordinal_position": 139}, {"identifier": "U77", "position": [5, 4], "step": 139, "ordinal_position": 140}, {"identifier": "G18", "position": [5, 3], "step": 140, "ordinal_position": 141}, {"identifier": "F63", "position": [5, 2], "step": 141, "ordinal_position": 142}, {"identifier": "M66", "position": [5, 1], "step": 142, "ordinal_position": 143}, {"identifier": "I05", "position": [4, 1], "step": 143, "ordinal_position": 144}, {"identifier": "C83", "position": [3, 1], "step": 144, "ordinal_position": 145}, {"identifier": "W89", "position": [2, 1], "step": 145, "ordinal_position": 146}, {"identifier": "V82", "position": [1, 1], "step": 146, "ordinal_position": 147}, {"identifier": "F72", "position": [1, 2], "step": 147, "ordinal_position": 148}, {"identifier": "Q44", "position": [1, 3], "step": 148, "ordinal_position": 149}, {"identifier": "Q78", "position": [1, 4], "step": 149, "ordinal_position": 150}, {"identifier": "I60", "position": [1, 5], "step": 150, "ordinal_position": 151}, {"identifier": "W11", "position": [2, 5], "step": 151, "ordinal_position": 152}, {"identifier": "T41", "position": [3, 5], "step": 152, "ordinal_position": 153}, {"identifier": "C54", "position": [4, 5], "step": 153, "ordinal_position": 154}, {"identifier": "W57", "position": [5, 5], "step": 154, "ordinal_position": 155}, {"identifier": "U77", "position": [5, 4], "step": 155, "ordinal_position": 156}, {"identifier": "G18", "position": [5, 3], "step": 156, "ordinal_position": 157}, {"identifier": "F63", "position": [5, 2], "step": 157, "ordinal_position": 158}, {"identifier": "M66", "position": [5, 1], "step": 158, "ordinal_position": 159}, {"identifier": "I05", "position": [4, 1], "step": 159, "ordinal_position": 160}, {"identifier": "C83", "position": [3, 1], "step": 160, "ordinal_position": 161}, {"identifier": "W89", "position": [2, 1], "step": 161, "ordinal_position": 162}, {"identifier": "V82", "position": [1, 1], "step": 162, "ordinal_position": 163}, {"identifier": "F72", "position": [1, 2], "step": 163, "ordinal_position": 164}, {"identifier": "Q44", "position": [1, 3], "step": 164, "ordinal_position": 165}, {"identifier": "Q78", "position": [1, 4], "step": 165, "ordinal_position": 166}, {"identifier": "I60", "position": [1, 5], "step": 166, "ordinal_position": 167}, {"identifier": "W11", "position": [2, 5], "step": 167, "ordinal_position": 168}, {"identifier": "T41", "position": [3, 5], "step": 168, "ordinal_position": 169}, {"identifier": "C54", "position": [4, 5], "step": 169, "ordinal_position": 170}, {"identifier": "W57", "position": [5, 5], "step": 170, "ordinal_position": 171}, {"identifier": "U77", "position": [5, 4], "step": 171, "ordinal_position": 172}, {"identifier": "G18", "position": [5, 3], "step": 172, "ordinal_position": 173}, {"identifier": "F63", "position": [5, 2], "step": 173, "ordinal_position": 174}, {"identifier": "M66", "position": [5, 1], "step": 174, "ordinal_position": 175}, {"identifier": "I05", "position": [4, 1], "step": 175, "ordinal_position": 176}, {"identifier": "C83", "position": [3, 1], "step": 176, "ordinal_position": 177}, {"identifier": "W89", "position": [2, 1], "step": 177, "ordinal_position": 178}, {"identifier": "V82", "position": [1, 1], "step": 178, "ordinal_position": 179}, {"identifier": "F72", "position": [1, 2], "step": 179, "ordinal_position": 180}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 180, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_017.json"}} {"qa_id": "624907a20889471d98dea07790878203", "image_id": "L3-MazeLoop-test_7x7_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T41, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 140th position in this traversal?", "start_object_id": "T41", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [140], "ordinal_strings": ["140th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Q78", "traversal_path": [{"identifier": "T41", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "F05", "position": [3, 4], "step": 1, "ordinal_position": 2}, {"identifier": "N55", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "D35", "position": [4, 3], "step": 3, "ordinal_position": 4}, {"identifier": "G18", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "U77", "position": [5, 4], "step": 5, "ordinal_position": 6}, {"identifier": "W57", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "C54", "position": [4, 5], "step": 7, "ordinal_position": 8}, {"identifier": "T41", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "W11", "position": [2, 5], "step": 9, "ordinal_position": 10}, {"identifier": "I60", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "Q78", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "Q44", "position": [1, 3], "step": 12, "ordinal_position": 13}, {"identifier": "F72", "position": [1, 2], "step": 13, "ordinal_position": 14}, {"identifier": "V82", "position": [1, 1], "step": 14, "ordinal_position": 15}, {"identifier": "W89", "position": [2, 1], "step": 15, "ordinal_position": 16}, {"identifier": "C83", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "I05", "position": [4, 1], "step": 17, "ordinal_position": 18}, {"identifier": "M66", "position": [5, 1], "step": 18, "ordinal_position": 19}, {"identifier": "F63", "position": [5, 2], "step": 19, "ordinal_position": 20}, {"identifier": "G18", "position": [5, 3], "step": 20, "ordinal_position": 21}, {"identifier": "U77", "position": [5, 4], "step": 21, "ordinal_position": 22}, {"identifier": "W57", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "C54", "position": [4, 5], "step": 23, "ordinal_position": 24}, {"identifier": "T41", "position": [3, 5], "step": 24, "ordinal_position": 25}, {"identifier": "W11", "position": [2, 5], "step": 25, "ordinal_position": 26}, {"identifier": "I60", "position": [1, 5], "step": 26, "ordinal_position": 27}, {"identifier": "Q78", "position": [1, 4], "step": 27, "ordinal_position": 28}, {"identifier": "Q44", "position": [1, 3], "step": 28, "ordinal_position": 29}, {"identifier": "F72", "position": [1, 2], "step": 29, "ordinal_position": 30}, {"identifier": "V82", "position": [1, 1], "step": 30, "ordinal_position": 31}, {"identifier": "W89", "position": [2, 1], "step": 31, "ordinal_position": 32}, {"identifier": "C83", "position": [3, 1], "step": 32, "ordinal_position": 33}, {"identifier": "I05", "position": [4, 1], "step": 33, "ordinal_position": 34}, {"identifier": "M66", "position": [5, 1], "step": 34, "ordinal_position": 35}, {"identifier": "F63", "position": [5, 2], "step": 35, "ordinal_position": 36}, {"identifier": "G18", "position": [5, 3], "step": 36, "ordinal_position": 37}, {"identifier": "U77", "position": [5, 4], "step": 37, "ordinal_position": 38}, {"identifier": "W57", "position": [5, 5], "step": 38, "ordinal_position": 39}, {"identifier": "C54", "position": [4, 5], "step": 39, "ordinal_position": 40}, {"identifier": "T41", "position": [3, 5], "step": 40, "ordinal_position": 41}, {"identifier": "W11", "position": [2, 5], "step": 41, "ordinal_position": 42}, {"identifier": "I60", "position": [1, 5], "step": 42, "ordinal_position": 43}, {"identifier": "Q78", "position": [1, 4], "step": 43, "ordinal_position": 44}, {"identifier": "Q44", "position": [1, 3], "step": 44, "ordinal_position": 45}, {"identifier": "F72", "position": [1, 2], "step": 45, "ordinal_position": 46}, {"identifier": "V82", "position": [1, 1], "step": 46, "ordinal_position": 47}, {"identifier": "W89", "position": [2, 1], "step": 47, "ordinal_position": 48}, {"identifier": "C83", "position": [3, 1], "step": 48, "ordinal_position": 49}, {"identifier": "I05", "position": [4, 1], "step": 49, "ordinal_position": 50}, {"identifier": "M66", "position": [5, 1], "step": 50, "ordinal_position": 51}, {"identifier": "F63", "position": [5, 2], "step": 51, "ordinal_position": 52}, {"identifier": "G18", "position": [5, 3], "step": 52, "ordinal_position": 53}, {"identifier": "U77", "position": [5, 4], "step": 53, "ordinal_position": 54}, {"identifier": "W57", "position": [5, 5], "step": 54, "ordinal_position": 55}, {"identifier": "C54", "position": [4, 5], "step": 55, "ordinal_position": 56}, {"identifier": "T41", "position": [3, 5], "step": 56, "ordinal_position": 57}, {"identifier": "W11", "position": [2, 5], "step": 57, "ordinal_position": 58}, {"identifier": "I60", "position": [1, 5], "step": 58, "ordinal_position": 59}, {"identifier": "Q78", "position": [1, 4], "step": 59, "ordinal_position": 60}, {"identifier": "Q44", "position": [1, 3], "step": 60, "ordinal_position": 61}, {"identifier": "F72", "position": [1, 2], "step": 61, "ordinal_position": 62}, {"identifier": "V82", "position": [1, 1], "step": 62, "ordinal_position": 63}, {"identifier": "W89", "position": [2, 1], "step": 63, "ordinal_position": 64}, {"identifier": "C83", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "I05", "position": [4, 1], "step": 65, "ordinal_position": 66}, {"identifier": "M66", "position": [5, 1], "step": 66, "ordinal_position": 67}, {"identifier": "F63", "position": [5, 2], "step": 67, "ordinal_position": 68}, {"identifier": "G18", "position": [5, 3], "step": 68, "ordinal_position": 69}, {"identifier": "U77", "position": [5, 4], "step": 69, "ordinal_position": 70}, {"identifier": "W57", "position": [5, 5], "step": 70, "ordinal_position": 71}, {"identifier": "C54", "position": [4, 5], "step": 71, "ordinal_position": 72}, {"identifier": "T41", "position": [3, 5], "step": 72, "ordinal_position": 73}, {"identifier": "W11", "position": [2, 5], "step": 73, "ordinal_position": 74}, {"identifier": "I60", "position": [1, 5], "step": 74, "ordinal_position": 75}, {"identifier": "Q78", "position": [1, 4], "step": 75, "ordinal_position": 76}, {"identifier": "Q44", "position": [1, 3], "step": 76, "ordinal_position": 77}, {"identifier": "F72", "position": [1, 2], "step": 77, "ordinal_position": 78}, {"identifier": "V82", "position": [1, 1], "step": 78, "ordinal_position": 79}, {"identifier": "W89", "position": [2, 1], "step": 79, "ordinal_position": 80}, {"identifier": "C83", "position": [3, 1], "step": 80, "ordinal_position": 81}, {"identifier": "I05", "position": [4, 1], "step": 81, "ordinal_position": 82}, {"identifier": "M66", "position": [5, 1], "step": 82, "ordinal_position": 83}, {"identifier": "F63", "position": [5, 2], "step": 83, "ordinal_position": 84}, {"identifier": "G18", "position": [5, 3], "step": 84, "ordinal_position": 85}, {"identifier": "U77", "position": [5, 4], "step": 85, "ordinal_position": 86}, {"identifier": "W57", "position": [5, 5], "step": 86, "ordinal_position": 87}, {"identifier": "C54", "position": [4, 5], "step": 87, "ordinal_position": 88}, {"identifier": "T41", "position": [3, 5], "step": 88, "ordinal_position": 89}, {"identifier": "W11", "position": [2, 5], "step": 89, "ordinal_position": 90}, {"identifier": "I60", "position": [1, 5], "step": 90, "ordinal_position": 91}, {"identifier": "Q78", "position": [1, 4], "step": 91, "ordinal_position": 92}, {"identifier": "Q44", "position": [1, 3], "step": 92, "ordinal_position": 93}, {"identifier": "F72", "position": [1, 2], "step": 93, "ordinal_position": 94}, {"identifier": "V82", "position": [1, 1], "step": 94, "ordinal_position": 95}, {"identifier": "W89", "position": [2, 1], "step": 95, "ordinal_position": 96}, {"identifier": "C83", "position": [3, 1], "step": 96, "ordinal_position": 97}, {"identifier": "I05", "position": [4, 1], "step": 97, "ordinal_position": 98}, {"identifier": "M66", "position": [5, 1], "step": 98, "ordinal_position": 99}, {"identifier": "F63", "position": [5, 2], "step": 99, "ordinal_position": 100}, {"identifier": "G18", "position": [5, 3], "step": 100, "ordinal_position": 101}, {"identifier": "U77", "position": [5, 4], "step": 101, "ordinal_position": 102}, {"identifier": "W57", "position": [5, 5], "step": 102, "ordinal_position": 103}, {"identifier": "C54", "position": [4, 5], "step": 103, "ordinal_position": 104}, {"identifier": "T41", "position": [3, 5], "step": 104, "ordinal_position": 105}, {"identifier": "W11", "position": [2, 5], "step": 105, "ordinal_position": 106}, {"identifier": "I60", "position": [1, 5], "step": 106, "ordinal_position": 107}, {"identifier": "Q78", "position": [1, 4], "step": 107, "ordinal_position": 108}, {"identifier": "Q44", "position": [1, 3], "step": 108, "ordinal_position": 109}, {"identifier": "F72", "position": [1, 2], "step": 109, "ordinal_position": 110}, {"identifier": "V82", "position": [1, 1], "step": 110, "ordinal_position": 111}, {"identifier": "W89", "position": [2, 1], "step": 111, "ordinal_position": 112}, {"identifier": "C83", "position": [3, 1], "step": 112, "ordinal_position": 113}, {"identifier": "I05", "position": [4, 1], "step": 113, "ordinal_position": 114}, {"identifier": "M66", "position": [5, 1], "step": 114, "ordinal_position": 115}, {"identifier": "F63", "position": [5, 2], "step": 115, "ordinal_position": 116}, {"identifier": "G18", "position": [5, 3], "step": 116, "ordinal_position": 117}, {"identifier": "U77", "position": [5, 4], "step": 117, "ordinal_position": 118}, {"identifier": "W57", "position": [5, 5], "step": 118, "ordinal_position": 119}, {"identifier": "C54", "position": [4, 5], "step": 119, "ordinal_position": 120}, {"identifier": "T41", "position": [3, 5], "step": 120, "ordinal_position": 121}, {"identifier": "W11", "position": [2, 5], "step": 121, "ordinal_position": 122}, {"identifier": "I60", "position": [1, 5], "step": 122, "ordinal_position": 123}, {"identifier": "Q78", "position": [1, 4], "step": 123, "ordinal_position": 124}, {"identifier": "Q44", "position": [1, 3], "step": 124, "ordinal_position": 125}, {"identifier": "F72", "position": [1, 2], "step": 125, "ordinal_position": 126}, {"identifier": "V82", "position": [1, 1], "step": 126, "ordinal_position": 127}, {"identifier": "W89", "position": [2, 1], "step": 127, "ordinal_position": 128}, {"identifier": "C83", "position": [3, 1], "step": 128, "ordinal_position": 129}, {"identifier": "I05", "position": [4, 1], "step": 129, "ordinal_position": 130}, {"identifier": "M66", "position": [5, 1], "step": 130, "ordinal_position": 131}, {"identifier": "F63", "position": [5, 2], "step": 131, "ordinal_position": 132}, {"identifier": "G18", "position": [5, 3], "step": 132, "ordinal_position": 133}, {"identifier": "U77", "position": [5, 4], "step": 133, "ordinal_position": 134}, {"identifier": "W57", "position": [5, 5], "step": 134, "ordinal_position": 135}, {"identifier": "C54", "position": [4, 5], "step": 135, "ordinal_position": 136}, {"identifier": "T41", "position": [3, 5], "step": 136, "ordinal_position": 137}, {"identifier": "W11", "position": [2, 5], "step": 137, "ordinal_position": 138}, {"identifier": "I60", "position": [1, 5], "step": 138, "ordinal_position": 139}, {"identifier": "Q78", "position": [1, 4], "step": 139, "ordinal_position": 140}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 140, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_017.json"}} {"qa_id": "fad6538c3e0345f4ac48eb1e93aa80d0", "image_id": "L3-MazeLoop-test_7x7_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I26, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "I26", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "U22", "traversal_path": [{"identifier": "I26", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "O03", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "U22", "position": [2, 5], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 3, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_018.json"}} {"qa_id": "49267631b13e4ad5939c60bd7dbf3a82", "image_id": "L3-MazeLoop-test_7x7_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J02, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "J02", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "O03", "traversal_path": [{"identifier": "J02", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "N28", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "I26", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "O03", "position": [1, 5], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_018.json"}} {"qa_id": "40aa3fcaa2974a6881e2e82831ea4d71", "image_id": "L3-MazeLoop-test_7x7_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O03, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "O03", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "X57", "traversal_path": [{"identifier": "O03", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "U22", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "M24", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "K85", "position": [4, 5], "step": 3, "ordinal_position": 4}, {"identifier": "J60", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "I20", "position": [5, 4], "step": 5, "ordinal_position": 6}, {"identifier": "X57", "position": [5, 3], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_018.json"}} {"qa_id": "5086b120441e490aa84ade069c4f0fa3", "image_id": "L3-MazeLoop-test_7x7_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I26, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "I26", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "U79", "traversal_path": [{"identifier": "I26", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "N28", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "J02", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "V38", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "G92", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "U79", "position": [3, 1], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 6, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_018.json"}} {"qa_id": "fd1ffe032c9641d4abb514d3559bef2e", "image_id": "L3-MazeLoop-test_7x7_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V38, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "V38", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "O03", "traversal_path": [{"identifier": "V38", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "J02", "position": [1, 2], "step": 1, "ordinal_position": 2}, {"identifier": "N28", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "I26", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "O03", "position": [1, 5], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 5, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_018.json"}} {"qa_id": "7b704cab976f472e95d35dc5b3831e9a", "image_id": "L3-MazeLoop-test_7x7_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U22, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 93rd position in this traversal?", "start_object_id": "U22", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [93], "ordinal_strings": ["93rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "J02", "traversal_path": [{"identifier": "U22", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "M24", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "K85", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "J60", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "I20", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "X57", "position": [5, 3], "step": 5, "ordinal_position": 6}, {"identifier": "I85", "position": [5, 2], "step": 6, "ordinal_position": 7}, {"identifier": "O97", "position": [5, 1], "step": 7, "ordinal_position": 8}, {"identifier": "Q60", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "U79", "position": [3, 1], "step": 9, "ordinal_position": 10}, {"identifier": "G92", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "V38", "position": [1, 1], "step": 11, "ordinal_position": 12}, {"identifier": "J02", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "N28", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "I26", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "O03", "position": [1, 5], "step": 15, "ordinal_position": 16}, {"identifier": "U22", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "M24", "position": [3, 5], "step": 17, "ordinal_position": 18}, {"identifier": "K85", "position": [4, 5], "step": 18, "ordinal_position": 19}, {"identifier": "J60", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "I20", "position": [5, 4], "step": 20, "ordinal_position": 21}, {"identifier": "X57", "position": [5, 3], "step": 21, "ordinal_position": 22}, {"identifier": "I85", "position": [5, 2], "step": 22, "ordinal_position": 23}, {"identifier": "O97", "position": [5, 1], "step": 23, "ordinal_position": 24}, {"identifier": "Q60", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "U79", "position": [3, 1], "step": 25, "ordinal_position": 26}, {"identifier": "G92", "position": [2, 1], "step": 26, "ordinal_position": 27}, {"identifier": "V38", "position": [1, 1], "step": 27, "ordinal_position": 28}, {"identifier": "J02", "position": [1, 2], "step": 28, "ordinal_position": 29}, {"identifier": "N28", "position": [1, 3], "step": 29, "ordinal_position": 30}, {"identifier": "I26", "position": [1, 4], "step": 30, "ordinal_position": 31}, {"identifier": "O03", "position": [1, 5], "step": 31, "ordinal_position": 32}, {"identifier": "U22", "position": [2, 5], "step": 32, "ordinal_position": 33}, {"identifier": "M24", "position": [3, 5], "step": 33, "ordinal_position": 34}, {"identifier": "K85", "position": [4, 5], "step": 34, "ordinal_position": 35}, {"identifier": "J60", "position": [5, 5], "step": 35, "ordinal_position": 36}, {"identifier": "I20", "position": [5, 4], "step": 36, "ordinal_position": 37}, {"identifier": "X57", "position": [5, 3], "step": 37, "ordinal_position": 38}, {"identifier": "I85", "position": [5, 2], "step": 38, "ordinal_position": 39}, {"identifier": "O97", "position": [5, 1], "step": 39, "ordinal_position": 40}, {"identifier": "Q60", "position": [4, 1], "step": 40, "ordinal_position": 41}, {"identifier": "U79", "position": [3, 1], "step": 41, "ordinal_position": 42}, {"identifier": "G92", "position": [2, 1], "step": 42, "ordinal_position": 43}, {"identifier": "V38", "position": [1, 1], "step": 43, "ordinal_position": 44}, {"identifier": "J02", "position": [1, 2], "step": 44, "ordinal_position": 45}, {"identifier": "N28", "position": [1, 3], "step": 45, "ordinal_position": 46}, {"identifier": "I26", "position": [1, 4], "step": 46, "ordinal_position": 47}, {"identifier": "O03", "position": [1, 5], "step": 47, "ordinal_position": 48}, {"identifier": "U22", "position": [2, 5], "step": 48, "ordinal_position": 49}, {"identifier": "M24", "position": [3, 5], "step": 49, "ordinal_position": 50}, {"identifier": "K85", "position": [4, 5], "step": 50, "ordinal_position": 51}, {"identifier": "J60", "position": [5, 5], "step": 51, "ordinal_position": 52}, {"identifier": "I20", "position": [5, 4], "step": 52, "ordinal_position": 53}, {"identifier": "X57", "position": [5, 3], "step": 53, "ordinal_position": 54}, {"identifier": "I85", "position": [5, 2], "step": 54, "ordinal_position": 55}, {"identifier": "O97", "position": [5, 1], "step": 55, "ordinal_position": 56}, {"identifier": "Q60", "position": [4, 1], "step": 56, "ordinal_position": 57}, {"identifier": "U79", "position": [3, 1], "step": 57, "ordinal_position": 58}, {"identifier": "G92", "position": [2, 1], "step": 58, "ordinal_position": 59}, {"identifier": "V38", "position": [1, 1], "step": 59, "ordinal_position": 60}, {"identifier": "J02", "position": [1, 2], "step": 60, "ordinal_position": 61}, {"identifier": "N28", "position": [1, 3], "step": 61, "ordinal_position": 62}, {"identifier": "I26", "position": [1, 4], "step": 62, "ordinal_position": 63}, {"identifier": "O03", "position": [1, 5], "step": 63, "ordinal_position": 64}, {"identifier": "U22", "position": [2, 5], "step": 64, "ordinal_position": 65}, {"identifier": "M24", "position": [3, 5], "step": 65, "ordinal_position": 66}, {"identifier": "K85", "position": [4, 5], "step": 66, "ordinal_position": 67}, {"identifier": "J60", "position": [5, 5], "step": 67, "ordinal_position": 68}, {"identifier": "I20", "position": [5, 4], "step": 68, "ordinal_position": 69}, {"identifier": "X57", "position": [5, 3], "step": 69, "ordinal_position": 70}, {"identifier": "I85", "position": [5, 2], "step": 70, "ordinal_position": 71}, {"identifier": "O97", "position": [5, 1], "step": 71, "ordinal_position": 72}, {"identifier": "Q60", "position": [4, 1], "step": 72, "ordinal_position": 73}, {"identifier": "U79", "position": [3, 1], "step": 73, "ordinal_position": 74}, {"identifier": "G92", "position": [2, 1], "step": 74, "ordinal_position": 75}, {"identifier": "V38", "position": [1, 1], "step": 75, "ordinal_position": 76}, {"identifier": "J02", "position": [1, 2], "step": 76, "ordinal_position": 77}, {"identifier": "N28", "position": [1, 3], "step": 77, "ordinal_position": 78}, {"identifier": "I26", "position": [1, 4], "step": 78, "ordinal_position": 79}, {"identifier": "O03", "position": [1, 5], "step": 79, "ordinal_position": 80}, {"identifier": "U22", "position": [2, 5], "step": 80, "ordinal_position": 81}, {"identifier": "M24", "position": [3, 5], "step": 81, "ordinal_position": 82}, {"identifier": "K85", "position": [4, 5], "step": 82, "ordinal_position": 83}, {"identifier": "J60", "position": [5, 5], "step": 83, "ordinal_position": 84}, {"identifier": "I20", "position": [5, 4], "step": 84, "ordinal_position": 85}, {"identifier": "X57", "position": [5, 3], "step": 85, "ordinal_position": 86}, {"identifier": "I85", "position": [5, 2], "step": 86, "ordinal_position": 87}, {"identifier": "O97", "position": [5, 1], "step": 87, "ordinal_position": 88}, {"identifier": "Q60", "position": [4, 1], "step": 88, "ordinal_position": 89}, {"identifier": "U79", "position": [3, 1], "step": 89, "ordinal_position": 90}, {"identifier": "G92", "position": [2, 1], "step": 90, "ordinal_position": 91}, {"identifier": "V38", "position": [1, 1], "step": 91, "ordinal_position": 92}, {"identifier": "J02", "position": [1, 2], "step": 92, "ordinal_position": 93}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 93, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_018.json"}} {"qa_id": "0d97aff746584efc9c0d321391c2336f", "image_id": "L3-MazeLoop-test_7x7_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H14, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 66th position in this traversal?", "start_object_id": "H14", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [66], "ordinal_strings": ["66th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "V38", "traversal_path": [{"identifier": "H14", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "A27", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "J72", "position": [2, 3], "step": 2, "ordinal_position": 3}, {"identifier": "N28", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "I26", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "O03", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "U22", "position": [2, 5], "step": 6, "ordinal_position": 7}, {"identifier": "M24", "position": [3, 5], "step": 7, "ordinal_position": 8}, {"identifier": "K85", "position": [4, 5], "step": 8, "ordinal_position": 9}, {"identifier": "J60", "position": [5, 5], "step": 9, "ordinal_position": 10}, {"identifier": "I20", "position": [5, 4], "step": 10, "ordinal_position": 11}, {"identifier": "X57", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "I85", "position": [5, 2], "step": 12, "ordinal_position": 13}, {"identifier": "O97", "position": [5, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Q60", "position": [4, 1], "step": 14, "ordinal_position": 15}, {"identifier": "U79", "position": [3, 1], "step": 15, "ordinal_position": 16}, {"identifier": "G92", "position": [2, 1], "step": 16, "ordinal_position": 17}, {"identifier": "V38", "position": [1, 1], "step": 17, "ordinal_position": 18}, {"identifier": "J02", "position": [1, 2], "step": 18, "ordinal_position": 19}, {"identifier": "N28", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "I26", "position": [1, 4], "step": 20, "ordinal_position": 21}, {"identifier": "O03", "position": [1, 5], "step": 21, "ordinal_position": 22}, {"identifier": "U22", "position": [2, 5], "step": 22, "ordinal_position": 23}, {"identifier": "M24", "position": [3, 5], "step": 23, "ordinal_position": 24}, {"identifier": "K85", "position": [4, 5], "step": 24, "ordinal_position": 25}, {"identifier": "J60", "position": [5, 5], "step": 25, "ordinal_position": 26}, {"identifier": "I20", "position": [5, 4], "step": 26, "ordinal_position": 27}, {"identifier": "X57", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "I85", "position": [5, 2], "step": 28, "ordinal_position": 29}, {"identifier": "O97", "position": [5, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Q60", "position": [4, 1], "step": 30, "ordinal_position": 31}, {"identifier": "U79", "position": [3, 1], "step": 31, "ordinal_position": 32}, {"identifier": "G92", "position": [2, 1], "step": 32, "ordinal_position": 33}, {"identifier": "V38", "position": [1, 1], "step": 33, "ordinal_position": 34}, {"identifier": "J02", "position": [1, 2], "step": 34, "ordinal_position": 35}, {"identifier": "N28", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "I26", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "O03", "position": [1, 5], "step": 37, "ordinal_position": 38}, {"identifier": "U22", "position": [2, 5], "step": 38, "ordinal_position": 39}, {"identifier": "M24", "position": [3, 5], "step": 39, "ordinal_position": 40}, {"identifier": "K85", "position": [4, 5], "step": 40, "ordinal_position": 41}, {"identifier": "J60", "position": [5, 5], "step": 41, "ordinal_position": 42}, {"identifier": "I20", "position": [5, 4], "step": 42, "ordinal_position": 43}, {"identifier": "X57", "position": [5, 3], "step": 43, "ordinal_position": 44}, {"identifier": "I85", "position": [5, 2], "step": 44, "ordinal_position": 45}, {"identifier": "O97", "position": [5, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Q60", "position": [4, 1], "step": 46, "ordinal_position": 47}, {"identifier": "U79", "position": [3, 1], "step": 47, "ordinal_position": 48}, {"identifier": "G92", "position": [2, 1], "step": 48, "ordinal_position": 49}, {"identifier": "V38", "position": [1, 1], "step": 49, "ordinal_position": 50}, {"identifier": "J02", "position": [1, 2], "step": 50, "ordinal_position": 51}, {"identifier": "N28", "position": [1, 3], "step": 51, "ordinal_position": 52}, {"identifier": "I26", "position": [1, 4], "step": 52, "ordinal_position": 53}, {"identifier": "O03", "position": [1, 5], "step": 53, "ordinal_position": 54}, {"identifier": "U22", "position": [2, 5], "step": 54, "ordinal_position": 55}, {"identifier": "M24", "position": [3, 5], "step": 55, "ordinal_position": 56}, {"identifier": "K85", "position": [4, 5], "step": 56, "ordinal_position": 57}, {"identifier": "J60", "position": [5, 5], "step": 57, "ordinal_position": 58}, {"identifier": "I20", "position": [5, 4], "step": 58, "ordinal_position": 59}, {"identifier": "X57", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "I85", "position": [5, 2], "step": 60, "ordinal_position": 61}, {"identifier": "O97", "position": [5, 1], "step": 61, "ordinal_position": 62}, {"identifier": "Q60", "position": [4, 1], "step": 62, "ordinal_position": 63}, {"identifier": "U79", "position": [3, 1], "step": 63, "ordinal_position": 64}, {"identifier": "G92", "position": [2, 1], "step": 64, "ordinal_position": 65}, {"identifier": "V38", "position": [1, 1], "step": 65, "ordinal_position": 66}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 66, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_018.json"}} {"qa_id": "023719cbeb544fdd8f8b5fbc000b8b5a", "image_id": "L3-MazeLoop-test_7x7_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H14, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 25th position in this traversal?", "start_object_id": "H14", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [25], "ordinal_strings": ["25th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K85", "traversal_path": [{"identifier": "H14", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "A27", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "J72", "position": [2, 3], "step": 2, "ordinal_position": 3}, {"identifier": "N28", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "I26", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "O03", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "U22", "position": [2, 5], "step": 6, "ordinal_position": 7}, {"identifier": "M24", "position": [3, 5], "step": 7, "ordinal_position": 8}, {"identifier": "K85", "position": [4, 5], "step": 8, "ordinal_position": 9}, {"identifier": "J60", "position": [5, 5], "step": 9, "ordinal_position": 10}, {"identifier": "I20", "position": [5, 4], "step": 10, "ordinal_position": 11}, {"identifier": "X57", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "I85", "position": [5, 2], "step": 12, "ordinal_position": 13}, {"identifier": "O97", "position": [5, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Q60", "position": [4, 1], "step": 14, "ordinal_position": 15}, {"identifier": "U79", "position": [3, 1], "step": 15, "ordinal_position": 16}, {"identifier": "G92", "position": [2, 1], "step": 16, "ordinal_position": 17}, {"identifier": "V38", "position": [1, 1], "step": 17, "ordinal_position": 18}, {"identifier": "J02", "position": [1, 2], "step": 18, "ordinal_position": 19}, {"identifier": "N28", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "I26", "position": [1, 4], "step": 20, "ordinal_position": 21}, {"identifier": "O03", "position": [1, 5], "step": 21, "ordinal_position": 22}, {"identifier": "U22", "position": [2, 5], "step": 22, "ordinal_position": 23}, {"identifier": "M24", "position": [3, 5], "step": 23, "ordinal_position": 24}, {"identifier": "K85", "position": [4, 5], "step": 24, "ordinal_position": 25}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 25, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_018.json"}} {"qa_id": "6bc2d1f344b64a8495c0321e1e1b879e", "image_id": "L3-MazeLoop-test_7x7_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N28, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 79th position in this traversal?", "start_object_id": "N28", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [79], "ordinal_strings": ["79th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "V38", "traversal_path": [{"identifier": "N28", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "I26", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "O03", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "U22", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "M24", "position": [3, 5], "step": 4, "ordinal_position": 5}, {"identifier": "K85", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "J60", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "I20", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "X57", "position": [5, 3], "step": 8, "ordinal_position": 9}, {"identifier": "I85", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "O97", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Q60", "position": [4, 1], "step": 11, "ordinal_position": 12}, {"identifier": "U79", "position": [3, 1], "step": 12, "ordinal_position": 13}, {"identifier": "G92", "position": [2, 1], "step": 13, "ordinal_position": 14}, {"identifier": "V38", "position": [1, 1], "step": 14, "ordinal_position": 15}, {"identifier": "J02", "position": [1, 2], "step": 15, "ordinal_position": 16}, {"identifier": "N28", "position": [1, 3], "step": 16, "ordinal_position": 17}, {"identifier": "I26", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "O03", "position": [1, 5], "step": 18, "ordinal_position": 19}, {"identifier": "U22", "position": [2, 5], "step": 19, "ordinal_position": 20}, {"identifier": "M24", "position": [3, 5], "step": 20, "ordinal_position": 21}, {"identifier": "K85", "position": [4, 5], "step": 21, "ordinal_position": 22}, {"identifier": "J60", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "I20", "position": [5, 4], "step": 23, "ordinal_position": 24}, {"identifier": "X57", "position": [5, 3], "step": 24, "ordinal_position": 25}, {"identifier": "I85", "position": [5, 2], "step": 25, "ordinal_position": 26}, {"identifier": "O97", "position": [5, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Q60", "position": [4, 1], "step": 27, "ordinal_position": 28}, {"identifier": "U79", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "G92", "position": [2, 1], "step": 29, "ordinal_position": 30}, {"identifier": "V38", "position": [1, 1], "step": 30, "ordinal_position": 31}, {"identifier": "J02", "position": [1, 2], "step": 31, "ordinal_position": 32}, {"identifier": "N28", "position": [1, 3], "step": 32, "ordinal_position": 33}, {"identifier": "I26", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "O03", "position": [1, 5], "step": 34, "ordinal_position": 35}, {"identifier": "U22", "position": [2, 5], "step": 35, "ordinal_position": 36}, {"identifier": "M24", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "K85", "position": [4, 5], "step": 37, "ordinal_position": 38}, {"identifier": "J60", "position": [5, 5], "step": 38, "ordinal_position": 39}, {"identifier": "I20", "position": [5, 4], "step": 39, "ordinal_position": 40}, {"identifier": "X57", "position": [5, 3], "step": 40, "ordinal_position": 41}, {"identifier": "I85", "position": [5, 2], "step": 41, "ordinal_position": 42}, {"identifier": "O97", "position": [5, 1], "step": 42, "ordinal_position": 43}, {"identifier": "Q60", "position": [4, 1], "step": 43, "ordinal_position": 44}, {"identifier": "U79", "position": [3, 1], "step": 44, "ordinal_position": 45}, {"identifier": "G92", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "V38", "position": [1, 1], "step": 46, "ordinal_position": 47}, {"identifier": "J02", "position": [1, 2], "step": 47, "ordinal_position": 48}, {"identifier": "N28", "position": [1, 3], "step": 48, "ordinal_position": 49}, {"identifier": "I26", "position": [1, 4], "step": 49, "ordinal_position": 50}, {"identifier": "O03", "position": [1, 5], "step": 50, "ordinal_position": 51}, {"identifier": "U22", "position": [2, 5], "step": 51, "ordinal_position": 52}, {"identifier": "M24", "position": [3, 5], "step": 52, "ordinal_position": 53}, {"identifier": "K85", "position": [4, 5], "step": 53, "ordinal_position": 54}, {"identifier": "J60", "position": [5, 5], "step": 54, "ordinal_position": 55}, {"identifier": "I20", "position": [5, 4], "step": 55, "ordinal_position": 56}, {"identifier": "X57", "position": [5, 3], "step": 56, "ordinal_position": 57}, {"identifier": "I85", "position": [5, 2], "step": 57, "ordinal_position": 58}, {"identifier": "O97", "position": [5, 1], "step": 58, "ordinal_position": 59}, {"identifier": "Q60", "position": [4, 1], "step": 59, "ordinal_position": 60}, {"identifier": "U79", "position": [3, 1], "step": 60, "ordinal_position": 61}, {"identifier": "G92", "position": [2, 1], "step": 61, "ordinal_position": 62}, {"identifier": "V38", "position": [1, 1], "step": 62, "ordinal_position": 63}, {"identifier": "J02", "position": [1, 2], "step": 63, "ordinal_position": 64}, {"identifier": "N28", "position": [1, 3], "step": 64, "ordinal_position": 65}, {"identifier": "I26", "position": [1, 4], "step": 65, "ordinal_position": 66}, {"identifier": "O03", "position": [1, 5], "step": 66, "ordinal_position": 67}, {"identifier": "U22", "position": [2, 5], "step": 67, "ordinal_position": 68}, {"identifier": "M24", "position": [3, 5], "step": 68, "ordinal_position": 69}, {"identifier": "K85", "position": [4, 5], "step": 69, "ordinal_position": 70}, {"identifier": "J60", "position": [5, 5], "step": 70, "ordinal_position": 71}, {"identifier": "I20", "position": [5, 4], "step": 71, "ordinal_position": 72}, {"identifier": "X57", "position": [5, 3], "step": 72, "ordinal_position": 73}, {"identifier": "I85", "position": [5, 2], "step": 73, "ordinal_position": 74}, {"identifier": "O97", "position": [5, 1], "step": 74, "ordinal_position": 75}, {"identifier": "Q60", "position": [4, 1], "step": 75, "ordinal_position": 76}, {"identifier": "U79", "position": [3, 1], "step": 76, "ordinal_position": 77}, {"identifier": "G92", "position": [2, 1], "step": 77, "ordinal_position": 78}, {"identifier": "V38", "position": [1, 1], "step": 78, "ordinal_position": 79}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 79, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_018.json"}} {"qa_id": "95f778a8bc09411a8786e1a6135e7d1f", "image_id": "L3-MazeLoop-test_7x7_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M24, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 76th position in this traversal?", "start_object_id": "M24", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [76], "ordinal_strings": ["76th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "I85", "traversal_path": [{"identifier": "M24", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "U22", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "O03", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "I26", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "N28", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "J02", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "V38", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "G92", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "U79", "position": [3, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Q60", "position": [4, 1], "step": 9, "ordinal_position": 10}, {"identifier": "O97", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "I85", "position": [5, 2], "step": 11, "ordinal_position": 12}, {"identifier": "X57", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "I20", "position": [5, 4], "step": 13, "ordinal_position": 14}, {"identifier": "J60", "position": [5, 5], "step": 14, "ordinal_position": 15}, {"identifier": "K85", "position": [4, 5], "step": 15, "ordinal_position": 16}, {"identifier": "M24", "position": [3, 5], "step": 16, "ordinal_position": 17}, {"identifier": "U22", "position": [2, 5], "step": 17, "ordinal_position": 18}, {"identifier": "O03", "position": [1, 5], "step": 18, "ordinal_position": 19}, {"identifier": "I26", "position": [1, 4], "step": 19, "ordinal_position": 20}, {"identifier": "N28", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "J02", "position": [1, 2], "step": 21, "ordinal_position": 22}, {"identifier": "V38", "position": [1, 1], "step": 22, "ordinal_position": 23}, {"identifier": "G92", "position": [2, 1], "step": 23, "ordinal_position": 24}, {"identifier": "U79", "position": [3, 1], "step": 24, "ordinal_position": 25}, {"identifier": "Q60", "position": [4, 1], "step": 25, "ordinal_position": 26}, {"identifier": "O97", "position": [5, 1], "step": 26, "ordinal_position": 27}, {"identifier": "I85", "position": [5, 2], "step": 27, "ordinal_position": 28}, {"identifier": "X57", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "I20", "position": [5, 4], "step": 29, "ordinal_position": 30}, {"identifier": "J60", "position": [5, 5], "step": 30, "ordinal_position": 31}, {"identifier": "K85", "position": [4, 5], "step": 31, "ordinal_position": 32}, {"identifier": "M24", "position": [3, 5], "step": 32, "ordinal_position": 33}, {"identifier": "U22", "position": [2, 5], "step": 33, "ordinal_position": 34}, {"identifier": "O03", "position": [1, 5], "step": 34, "ordinal_position": 35}, {"identifier": "I26", "position": [1, 4], "step": 35, "ordinal_position": 36}, {"identifier": "N28", "position": [1, 3], "step": 36, "ordinal_position": 37}, {"identifier": "J02", "position": [1, 2], "step": 37, "ordinal_position": 38}, {"identifier": "V38", "position": [1, 1], "step": 38, "ordinal_position": 39}, {"identifier": "G92", "position": [2, 1], "step": 39, "ordinal_position": 40}, {"identifier": "U79", "position": [3, 1], "step": 40, "ordinal_position": 41}, {"identifier": "Q60", "position": [4, 1], "step": 41, "ordinal_position": 42}, {"identifier": "O97", "position": [5, 1], "step": 42, "ordinal_position": 43}, {"identifier": "I85", "position": [5, 2], "step": 43, "ordinal_position": 44}, {"identifier": "X57", "position": [5, 3], "step": 44, "ordinal_position": 45}, {"identifier": "I20", "position": [5, 4], "step": 45, "ordinal_position": 46}, {"identifier": "J60", "position": [5, 5], "step": 46, "ordinal_position": 47}, {"identifier": "K85", "position": [4, 5], "step": 47, "ordinal_position": 48}, {"identifier": "M24", "position": [3, 5], "step": 48, "ordinal_position": 49}, {"identifier": "U22", "position": [2, 5], "step": 49, "ordinal_position": 50}, {"identifier": "O03", "position": [1, 5], "step": 50, "ordinal_position": 51}, {"identifier": "I26", "position": [1, 4], "step": 51, "ordinal_position": 52}, {"identifier": "N28", "position": [1, 3], "step": 52, "ordinal_position": 53}, {"identifier": "J02", "position": [1, 2], "step": 53, "ordinal_position": 54}, {"identifier": "V38", "position": [1, 1], "step": 54, "ordinal_position": 55}, {"identifier": "G92", "position": [2, 1], "step": 55, "ordinal_position": 56}, {"identifier": "U79", "position": [3, 1], "step": 56, "ordinal_position": 57}, {"identifier": "Q60", "position": [4, 1], "step": 57, "ordinal_position": 58}, {"identifier": "O97", "position": [5, 1], "step": 58, "ordinal_position": 59}, {"identifier": "I85", "position": [5, 2], "step": 59, "ordinal_position": 60}, {"identifier": "X57", "position": [5, 3], "step": 60, "ordinal_position": 61}, {"identifier": "I20", "position": [5, 4], "step": 61, "ordinal_position": 62}, {"identifier": "J60", "position": [5, 5], "step": 62, "ordinal_position": 63}, {"identifier": "K85", "position": [4, 5], "step": 63, "ordinal_position": 64}, {"identifier": "M24", "position": [3, 5], "step": 64, "ordinal_position": 65}, {"identifier": "U22", "position": [2, 5], "step": 65, "ordinal_position": 66}, {"identifier": "O03", "position": [1, 5], "step": 66, "ordinal_position": 67}, {"identifier": "I26", "position": [1, 4], "step": 67, "ordinal_position": 68}, {"identifier": "N28", "position": [1, 3], "step": 68, "ordinal_position": 69}, {"identifier": "J02", "position": [1, 2], "step": 69, "ordinal_position": 70}, {"identifier": "V38", "position": [1, 1], "step": 70, "ordinal_position": 71}, {"identifier": "G92", "position": [2, 1], "step": 71, "ordinal_position": 72}, {"identifier": "U79", "position": [3, 1], "step": 72, "ordinal_position": 73}, {"identifier": "Q60", "position": [4, 1], "step": 73, "ordinal_position": 74}, {"identifier": "O97", "position": [5, 1], "step": 74, "ordinal_position": 75}, {"identifier": "I85", "position": [5, 2], "step": 75, "ordinal_position": 76}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 76, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_018.json"}} {"qa_id": "4399d743e8c34dbfa995fa4dea3b8c0c", "image_id": "L3-MazeLoop-test_7x7_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I26, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 141st position in this traversal?", "start_object_id": "I26", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [141], "ordinal_strings": ["141st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "K85", "traversal_path": [{"identifier": "I26", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "N28", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "J02", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "V38", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "G92", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "U79", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Q60", "position": [4, 1], "step": 6, "ordinal_position": 7}, {"identifier": "O97", "position": [5, 1], "step": 7, "ordinal_position": 8}, {"identifier": "I85", "position": [5, 2], "step": 8, "ordinal_position": 9}, {"identifier": "X57", "position": [5, 3], "step": 9, "ordinal_position": 10}, {"identifier": "I20", "position": [5, 4], "step": 10, "ordinal_position": 11}, {"identifier": "J60", "position": [5, 5], "step": 11, "ordinal_position": 12}, {"identifier": "K85", "position": [4, 5], "step": 12, "ordinal_position": 13}, {"identifier": "M24", "position": [3, 5], "step": 13, "ordinal_position": 14}, {"identifier": "U22", "position": [2, 5], "step": 14, "ordinal_position": 15}, {"identifier": "O03", "position": [1, 5], "step": 15, "ordinal_position": 16}, {"identifier": "I26", "position": [1, 4], "step": 16, "ordinal_position": 17}, {"identifier": "N28", "position": [1, 3], "step": 17, "ordinal_position": 18}, {"identifier": "J02", "position": [1, 2], "step": 18, "ordinal_position": 19}, {"identifier": "V38", "position": [1, 1], "step": 19, "ordinal_position": 20}, {"identifier": "G92", "position": [2, 1], "step": 20, "ordinal_position": 21}, {"identifier": "U79", "position": [3, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Q60", "position": [4, 1], "step": 22, "ordinal_position": 23}, {"identifier": "O97", "position": [5, 1], "step": 23, "ordinal_position": 24}, {"identifier": "I85", "position": [5, 2], "step": 24, "ordinal_position": 25}, {"identifier": "X57", "position": [5, 3], "step": 25, "ordinal_position": 26}, {"identifier": "I20", "position": [5, 4], "step": 26, "ordinal_position": 27}, {"identifier": "J60", "position": [5, 5], "step": 27, "ordinal_position": 28}, {"identifier": "K85", "position": [4, 5], "step": 28, "ordinal_position": 29}, {"identifier": "M24", "position": [3, 5], "step": 29, "ordinal_position": 30}, {"identifier": "U22", "position": [2, 5], "step": 30, "ordinal_position": 31}, {"identifier": "O03", "position": [1, 5], "step": 31, "ordinal_position": 32}, {"identifier": "I26", "position": [1, 4], "step": 32, "ordinal_position": 33}, {"identifier": "N28", "position": [1, 3], "step": 33, "ordinal_position": 34}, {"identifier": "J02", "position": [1, 2], "step": 34, "ordinal_position": 35}, {"identifier": "V38", "position": [1, 1], "step": 35, "ordinal_position": 36}, {"identifier": "G92", "position": [2, 1], "step": 36, "ordinal_position": 37}, {"identifier": "U79", "position": [3, 1], "step": 37, "ordinal_position": 38}, {"identifier": "Q60", "position": [4, 1], "step": 38, "ordinal_position": 39}, {"identifier": "O97", "position": [5, 1], "step": 39, "ordinal_position": 40}, {"identifier": "I85", "position": [5, 2], "step": 40, "ordinal_position": 41}, {"identifier": "X57", "position": [5, 3], "step": 41, "ordinal_position": 42}, {"identifier": "I20", "position": [5, 4], "step": 42, "ordinal_position": 43}, {"identifier": "J60", "position": [5, 5], "step": 43, "ordinal_position": 44}, {"identifier": "K85", "position": [4, 5], "step": 44, "ordinal_position": 45}, {"identifier": "M24", "position": [3, 5], "step": 45, "ordinal_position": 46}, {"identifier": "U22", "position": [2, 5], "step": 46, "ordinal_position": 47}, {"identifier": "O03", "position": [1, 5], "step": 47, "ordinal_position": 48}, {"identifier": "I26", "position": [1, 4], "step": 48, "ordinal_position": 49}, {"identifier": "N28", "position": [1, 3], "step": 49, "ordinal_position": 50}, {"identifier": "J02", "position": [1, 2], "step": 50, "ordinal_position": 51}, {"identifier": "V38", "position": [1, 1], "step": 51, "ordinal_position": 52}, {"identifier": "G92", "position": [2, 1], "step": 52, "ordinal_position": 53}, {"identifier": "U79", "position": [3, 1], "step": 53, "ordinal_position": 54}, {"identifier": "Q60", "position": [4, 1], "step": 54, "ordinal_position": 55}, {"identifier": "O97", "position": [5, 1], "step": 55, "ordinal_position": 56}, {"identifier": "I85", "position": [5, 2], "step": 56, "ordinal_position": 57}, {"identifier": "X57", "position": [5, 3], "step": 57, "ordinal_position": 58}, {"identifier": "I20", "position": [5, 4], "step": 58, "ordinal_position": 59}, {"identifier": "J60", "position": [5, 5], "step": 59, "ordinal_position": 60}, {"identifier": "K85", "position": [4, 5], "step": 60, "ordinal_position": 61}, {"identifier": "M24", "position": [3, 5], "step": 61, "ordinal_position": 62}, {"identifier": "U22", "position": [2, 5], "step": 62, "ordinal_position": 63}, {"identifier": "O03", "position": [1, 5], "step": 63, "ordinal_position": 64}, {"identifier": "I26", "position": [1, 4], "step": 64, "ordinal_position": 65}, {"identifier": "N28", "position": [1, 3], "step": 65, "ordinal_position": 66}, {"identifier": "J02", "position": [1, 2], "step": 66, "ordinal_position": 67}, {"identifier": "V38", "position": [1, 1], "step": 67, "ordinal_position": 68}, {"identifier": "G92", "position": [2, 1], "step": 68, "ordinal_position": 69}, {"identifier": "U79", "position": [3, 1], "step": 69, "ordinal_position": 70}, {"identifier": "Q60", "position": [4, 1], "step": 70, "ordinal_position": 71}, {"identifier": "O97", "position": [5, 1], "step": 71, "ordinal_position": 72}, {"identifier": "I85", "position": [5, 2], "step": 72, "ordinal_position": 73}, {"identifier": "X57", "position": [5, 3], "step": 73, "ordinal_position": 74}, {"identifier": "I20", "position": [5, 4], "step": 74, "ordinal_position": 75}, {"identifier": "J60", "position": [5, 5], "step": 75, "ordinal_position": 76}, {"identifier": "K85", "position": [4, 5], "step": 76, "ordinal_position": 77}, {"identifier": "M24", "position": [3, 5], "step": 77, "ordinal_position": 78}, {"identifier": "U22", "position": [2, 5], "step": 78, "ordinal_position": 79}, {"identifier": "O03", "position": [1, 5], "step": 79, "ordinal_position": 80}, {"identifier": "I26", "position": [1, 4], "step": 80, "ordinal_position": 81}, {"identifier": "N28", "position": [1, 3], "step": 81, "ordinal_position": 82}, {"identifier": "J02", "position": [1, 2], "step": 82, "ordinal_position": 83}, {"identifier": "V38", "position": [1, 1], "step": 83, "ordinal_position": 84}, {"identifier": "G92", "position": [2, 1], "step": 84, "ordinal_position": 85}, {"identifier": "U79", "position": [3, 1], "step": 85, "ordinal_position": 86}, {"identifier": "Q60", "position": [4, 1], "step": 86, "ordinal_position": 87}, {"identifier": "O97", "position": [5, 1], "step": 87, "ordinal_position": 88}, {"identifier": "I85", "position": [5, 2], "step": 88, "ordinal_position": 89}, {"identifier": "X57", "position": [5, 3], "step": 89, "ordinal_position": 90}, {"identifier": "I20", "position": [5, 4], "step": 90, "ordinal_position": 91}, {"identifier": "J60", "position": [5, 5], "step": 91, "ordinal_position": 92}, {"identifier": "K85", "position": [4, 5], "step": 92, "ordinal_position": 93}, {"identifier": "M24", "position": [3, 5], "step": 93, "ordinal_position": 94}, {"identifier": "U22", "position": [2, 5], "step": 94, "ordinal_position": 95}, {"identifier": "O03", "position": [1, 5], "step": 95, "ordinal_position": 96}, {"identifier": "I26", "position": [1, 4], "step": 96, "ordinal_position": 97}, {"identifier": "N28", "position": [1, 3], "step": 97, "ordinal_position": 98}, {"identifier": "J02", "position": [1, 2], "step": 98, "ordinal_position": 99}, {"identifier": "V38", "position": [1, 1], "step": 99, "ordinal_position": 100}, {"identifier": "G92", "position": [2, 1], "step": 100, "ordinal_position": 101}, {"identifier": "U79", "position": [3, 1], "step": 101, "ordinal_position": 102}, {"identifier": "Q60", "position": [4, 1], "step": 102, "ordinal_position": 103}, {"identifier": "O97", "position": [5, 1], "step": 103, "ordinal_position": 104}, {"identifier": "I85", "position": [5, 2], "step": 104, "ordinal_position": 105}, {"identifier": "X57", "position": [5, 3], "step": 105, "ordinal_position": 106}, {"identifier": "I20", "position": [5, 4], "step": 106, "ordinal_position": 107}, {"identifier": "J60", "position": [5, 5], "step": 107, "ordinal_position": 108}, {"identifier": "K85", "position": [4, 5], "step": 108, "ordinal_position": 109}, {"identifier": "M24", "position": [3, 5], "step": 109, "ordinal_position": 110}, {"identifier": "U22", "position": [2, 5], "step": 110, "ordinal_position": 111}, {"identifier": "O03", "position": [1, 5], "step": 111, "ordinal_position": 112}, {"identifier": "I26", "position": [1, 4], "step": 112, "ordinal_position": 113}, {"identifier": "N28", "position": [1, 3], "step": 113, "ordinal_position": 114}, {"identifier": "J02", "position": [1, 2], "step": 114, "ordinal_position": 115}, {"identifier": "V38", "position": [1, 1], "step": 115, "ordinal_position": 116}, {"identifier": "G92", "position": [2, 1], "step": 116, "ordinal_position": 117}, {"identifier": "U79", "position": [3, 1], "step": 117, "ordinal_position": 118}, {"identifier": "Q60", "position": [4, 1], "step": 118, "ordinal_position": 119}, {"identifier": "O97", "position": [5, 1], "step": 119, "ordinal_position": 120}, {"identifier": "I85", "position": [5, 2], "step": 120, "ordinal_position": 121}, {"identifier": "X57", "position": [5, 3], "step": 121, "ordinal_position": 122}, {"identifier": "I20", "position": [5, 4], "step": 122, "ordinal_position": 123}, {"identifier": "J60", "position": [5, 5], "step": 123, "ordinal_position": 124}, {"identifier": "K85", "position": [4, 5], "step": 124, "ordinal_position": 125}, {"identifier": "M24", "position": [3, 5], "step": 125, "ordinal_position": 126}, {"identifier": "U22", "position": [2, 5], "step": 126, "ordinal_position": 127}, {"identifier": "O03", "position": [1, 5], "step": 127, "ordinal_position": 128}, {"identifier": "I26", "position": [1, 4], "step": 128, "ordinal_position": 129}, {"identifier": "N28", "position": [1, 3], "step": 129, "ordinal_position": 130}, {"identifier": "J02", "position": [1, 2], "step": 130, "ordinal_position": 131}, {"identifier": "V38", "position": [1, 1], "step": 131, "ordinal_position": 132}, {"identifier": "G92", "position": [2, 1], "step": 132, "ordinal_position": 133}, {"identifier": "U79", "position": [3, 1], "step": 133, "ordinal_position": 134}, {"identifier": "Q60", "position": [4, 1], "step": 134, "ordinal_position": 135}, {"identifier": "O97", "position": [5, 1], "step": 135, "ordinal_position": 136}, {"identifier": "I85", "position": [5, 2], "step": 136, "ordinal_position": 137}, {"identifier": "X57", "position": [5, 3], "step": 137, "ordinal_position": 138}, {"identifier": "I20", "position": [5, 4], "step": 138, "ordinal_position": 139}, {"identifier": "J60", "position": [5, 5], "step": 139, "ordinal_position": 140}, {"identifier": "K85", "position": [4, 5], "step": 140, "ordinal_position": 141}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 141, "direction": "up", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_018.json"}} {"qa_id": "7a9857158e5e406e9f55b453faab9746", "image_id": "L3-MazeLoop-test_7x7_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K85, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 297th position in this traversal?", "start_object_id": "K85", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [297], "ordinal_strings": ["297th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "G92", "traversal_path": [{"identifier": "K85", "position": [4, 5], "step": 0, "ordinal_position": 1}, {"identifier": "J60", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "I20", "position": [5, 4], "step": 2, "ordinal_position": 3}, {"identifier": "X57", "position": [5, 3], "step": 3, "ordinal_position": 4}, {"identifier": "I85", "position": [5, 2], "step": 4, "ordinal_position": 5}, {"identifier": "O97", "position": [5, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Q60", "position": [4, 1], "step": 6, "ordinal_position": 7}, {"identifier": "U79", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "G92", "position": [2, 1], "step": 8, "ordinal_position": 9}, {"identifier": "V38", "position": [1, 1], "step": 9, "ordinal_position": 10}, {"identifier": "J02", "position": [1, 2], "step": 10, "ordinal_position": 11}, {"identifier": "N28", "position": [1, 3], "step": 11, "ordinal_position": 12}, {"identifier": "I26", "position": [1, 4], "step": 12, "ordinal_position": 13}, {"identifier": "O03", "position": [1, 5], "step": 13, "ordinal_position": 14}, {"identifier": "U22", "position": [2, 5], "step": 14, "ordinal_position": 15}, {"identifier": "M24", "position": [3, 5], "step": 15, "ordinal_position": 16}, {"identifier": "K85", "position": [4, 5], "step": 16, "ordinal_position": 17}, {"identifier": "J60", "position": [5, 5], "step": 17, "ordinal_position": 18}, {"identifier": "I20", "position": [5, 4], "step": 18, "ordinal_position": 19}, {"identifier": "X57", "position": [5, 3], "step": 19, "ordinal_position": 20}, {"identifier": "I85", "position": [5, 2], "step": 20, "ordinal_position": 21}, {"identifier": "O97", "position": [5, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Q60", "position": [4, 1], "step": 22, "ordinal_position": 23}, {"identifier": "U79", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "G92", "position": [2, 1], "step": 24, "ordinal_position": 25}, {"identifier": "V38", "position": [1, 1], "step": 25, "ordinal_position": 26}, {"identifier": "J02", "position": [1, 2], "step": 26, "ordinal_position": 27}, {"identifier": "N28", "position": [1, 3], "step": 27, "ordinal_position": 28}, {"identifier": "I26", "position": [1, 4], "step": 28, "ordinal_position": 29}, {"identifier": "O03", "position": [1, 5], "step": 29, "ordinal_position": 30}, {"identifier": "U22", "position": [2, 5], "step": 30, "ordinal_position": 31}, {"identifier": "M24", "position": [3, 5], "step": 31, "ordinal_position": 32}, {"identifier": "K85", "position": [4, 5], "step": 32, "ordinal_position": 33}, {"identifier": "J60", "position": [5, 5], "step": 33, "ordinal_position": 34}, {"identifier": "I20", "position": [5, 4], "step": 34, "ordinal_position": 35}, {"identifier": "X57", "position": [5, 3], "step": 35, "ordinal_position": 36}, {"identifier": "I85", "position": [5, 2], "step": 36, "ordinal_position": 37}, {"identifier": "O97", "position": [5, 1], "step": 37, "ordinal_position": 38}, {"identifier": "Q60", "position": [4, 1], "step": 38, "ordinal_position": 39}, {"identifier": "U79", "position": [3, 1], "step": 39, "ordinal_position": 40}, {"identifier": "G92", "position": [2, 1], "step": 40, "ordinal_position": 41}, {"identifier": "V38", "position": [1, 1], "step": 41, "ordinal_position": 42}, {"identifier": "J02", "position": [1, 2], "step": 42, "ordinal_position": 43}, {"identifier": "N28", "position": [1, 3], "step": 43, "ordinal_position": 44}, {"identifier": "I26", "position": [1, 4], "step": 44, "ordinal_position": 45}, {"identifier": "O03", "position": [1, 5], "step": 45, "ordinal_position": 46}, {"identifier": "U22", "position": [2, 5], "step": 46, "ordinal_position": 47}, {"identifier": "M24", "position": [3, 5], "step": 47, "ordinal_position": 48}, {"identifier": "K85", "position": [4, 5], "step": 48, "ordinal_position": 49}, {"identifier": "J60", "position": [5, 5], "step": 49, "ordinal_position": 50}, {"identifier": "I20", "position": [5, 4], "step": 50, "ordinal_position": 51}, {"identifier": "X57", "position": [5, 3], "step": 51, "ordinal_position": 52}, {"identifier": "I85", "position": [5, 2], "step": 52, "ordinal_position": 53}, {"identifier": "O97", "position": [5, 1], "step": 53, "ordinal_position": 54}, {"identifier": "Q60", "position": [4, 1], "step": 54, "ordinal_position": 55}, {"identifier": "U79", "position": [3, 1], "step": 55, "ordinal_position": 56}, {"identifier": "G92", "position": [2, 1], "step": 56, "ordinal_position": 57}, {"identifier": "V38", "position": [1, 1], "step": 57, "ordinal_position": 58}, {"identifier": "J02", "position": [1, 2], "step": 58, "ordinal_position": 59}, {"identifier": "N28", "position": [1, 3], "step": 59, "ordinal_position": 60}, {"identifier": "I26", "position": [1, 4], "step": 60, "ordinal_position": 61}, {"identifier": "O03", "position": [1, 5], "step": 61, "ordinal_position": 62}, {"identifier": "U22", "position": [2, 5], "step": 62, "ordinal_position": 63}, {"identifier": "M24", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "K85", "position": [4, 5], "step": 64, "ordinal_position": 65}, {"identifier": "J60", "position": [5, 5], "step": 65, "ordinal_position": 66}, {"identifier": "I20", "position": [5, 4], "step": 66, "ordinal_position": 67}, {"identifier": "X57", "position": [5, 3], "step": 67, "ordinal_position": 68}, {"identifier": "I85", "position": [5, 2], "step": 68, "ordinal_position": 69}, {"identifier": "O97", "position": [5, 1], "step": 69, "ordinal_position": 70}, {"identifier": "Q60", "position": [4, 1], "step": 70, "ordinal_position": 71}, {"identifier": "U79", "position": [3, 1], "step": 71, "ordinal_position": 72}, {"identifier": "G92", "position": [2, 1], "step": 72, "ordinal_position": 73}, {"identifier": "V38", "position": [1, 1], "step": 73, "ordinal_position": 74}, {"identifier": "J02", "position": [1, 2], "step": 74, "ordinal_position": 75}, {"identifier": "N28", "position": [1, 3], "step": 75, "ordinal_position": 76}, {"identifier": "I26", "position": [1, 4], "step": 76, "ordinal_position": 77}, {"identifier": "O03", "position": [1, 5], "step": 77, "ordinal_position": 78}, {"identifier": "U22", "position": [2, 5], "step": 78, "ordinal_position": 79}, {"identifier": "M24", "position": [3, 5], "step": 79, "ordinal_position": 80}, {"identifier": "K85", "position": [4, 5], "step": 80, "ordinal_position": 81}, {"identifier": "J60", "position": [5, 5], "step": 81, "ordinal_position": 82}, {"identifier": "I20", "position": [5, 4], "step": 82, "ordinal_position": 83}, {"identifier": "X57", "position": [5, 3], "step": 83, "ordinal_position": 84}, {"identifier": "I85", "position": [5, 2], "step": 84, "ordinal_position": 85}, {"identifier": "O97", "position": [5, 1], "step": 85, "ordinal_position": 86}, {"identifier": "Q60", "position": [4, 1], "step": 86, "ordinal_position": 87}, {"identifier": "U79", "position": [3, 1], "step": 87, "ordinal_position": 88}, {"identifier": "G92", "position": [2, 1], "step": 88, "ordinal_position": 89}, {"identifier": "V38", "position": [1, 1], "step": 89, "ordinal_position": 90}, {"identifier": "J02", "position": [1, 2], "step": 90, "ordinal_position": 91}, {"identifier": "N28", "position": [1, 3], "step": 91, "ordinal_position": 92}, {"identifier": "I26", "position": [1, 4], "step": 92, "ordinal_position": 93}, {"identifier": "O03", "position": [1, 5], "step": 93, "ordinal_position": 94}, {"identifier": "U22", "position": [2, 5], "step": 94, "ordinal_position": 95}, {"identifier": "M24", "position": [3, 5], "step": 95, "ordinal_position": 96}, {"identifier": "K85", "position": [4, 5], "step": 96, "ordinal_position": 97}, {"identifier": "J60", "position": [5, 5], "step": 97, "ordinal_position": 98}, {"identifier": "I20", "position": [5, 4], "step": 98, "ordinal_position": 99}, {"identifier": "X57", "position": [5, 3], "step": 99, "ordinal_position": 100}, {"identifier": "I85", "position": [5, 2], "step": 100, "ordinal_position": 101}, {"identifier": "O97", "position": [5, 1], "step": 101, "ordinal_position": 102}, {"identifier": "Q60", "position": [4, 1], "step": 102, "ordinal_position": 103}, {"identifier": "U79", "position": [3, 1], "step": 103, "ordinal_position": 104}, {"identifier": "G92", "position": [2, 1], "step": 104, "ordinal_position": 105}, {"identifier": "V38", "position": [1, 1], "step": 105, "ordinal_position": 106}, {"identifier": "J02", "position": [1, 2], "step": 106, "ordinal_position": 107}, {"identifier": "N28", "position": [1, 3], "step": 107, "ordinal_position": 108}, {"identifier": "I26", "position": [1, 4], "step": 108, "ordinal_position": 109}, {"identifier": "O03", "position": [1, 5], "step": 109, "ordinal_position": 110}, {"identifier": "U22", "position": [2, 5], "step": 110, "ordinal_position": 111}, {"identifier": "M24", "position": [3, 5], "step": 111, "ordinal_position": 112}, {"identifier": "K85", "position": [4, 5], "step": 112, "ordinal_position": 113}, {"identifier": "J60", "position": [5, 5], "step": 113, "ordinal_position": 114}, {"identifier": "I20", "position": [5, 4], "step": 114, "ordinal_position": 115}, {"identifier": "X57", "position": [5, 3], "step": 115, "ordinal_position": 116}, {"identifier": "I85", "position": [5, 2], "step": 116, "ordinal_position": 117}, {"identifier": "O97", "position": [5, 1], "step": 117, "ordinal_position": 118}, {"identifier": "Q60", "position": [4, 1], "step": 118, "ordinal_position": 119}, {"identifier": "U79", "position": [3, 1], "step": 119, "ordinal_position": 120}, {"identifier": "G92", "position": [2, 1], "step": 120, "ordinal_position": 121}, {"identifier": "V38", "position": [1, 1], "step": 121, "ordinal_position": 122}, {"identifier": "J02", "position": [1, 2], "step": 122, "ordinal_position": 123}, {"identifier": "N28", "position": [1, 3], "step": 123, "ordinal_position": 124}, {"identifier": "I26", "position": [1, 4], "step": 124, "ordinal_position": 125}, {"identifier": "O03", "position": [1, 5], "step": 125, "ordinal_position": 126}, {"identifier": "U22", "position": [2, 5], "step": 126, "ordinal_position": 127}, {"identifier": "M24", "position": [3, 5], "step": 127, "ordinal_position": 128}, {"identifier": "K85", "position": [4, 5], "step": 128, "ordinal_position": 129}, {"identifier": "J60", "position": [5, 5], "step": 129, "ordinal_position": 130}, {"identifier": "I20", "position": [5, 4], "step": 130, "ordinal_position": 131}, {"identifier": "X57", "position": [5, 3], "step": 131, "ordinal_position": 132}, {"identifier": "I85", "position": [5, 2], "step": 132, "ordinal_position": 133}, {"identifier": "O97", "position": [5, 1], "step": 133, "ordinal_position": 134}, {"identifier": "Q60", "position": [4, 1], "step": 134, "ordinal_position": 135}, {"identifier": "U79", "position": [3, 1], "step": 135, "ordinal_position": 136}, {"identifier": "G92", "position": [2, 1], "step": 136, "ordinal_position": 137}, {"identifier": "V38", "position": [1, 1], "step": 137, "ordinal_position": 138}, {"identifier": "J02", "position": [1, 2], "step": 138, "ordinal_position": 139}, {"identifier": "N28", "position": [1, 3], "step": 139, "ordinal_position": 140}, {"identifier": "I26", "position": [1, 4], "step": 140, "ordinal_position": 141}, {"identifier": "O03", "position": [1, 5], "step": 141, "ordinal_position": 142}, {"identifier": "U22", "position": [2, 5], "step": 142, "ordinal_position": 143}, {"identifier": "M24", "position": [3, 5], "step": 143, "ordinal_position": 144}, {"identifier": "K85", "position": [4, 5], "step": 144, "ordinal_position": 145}, {"identifier": "J60", "position": [5, 5], "step": 145, "ordinal_position": 146}, {"identifier": "I20", "position": [5, 4], "step": 146, "ordinal_position": 147}, {"identifier": "X57", "position": [5, 3], "step": 147, "ordinal_position": 148}, {"identifier": "I85", "position": [5, 2], "step": 148, "ordinal_position": 149}, {"identifier": "O97", "position": [5, 1], "step": 149, "ordinal_position": 150}, {"identifier": "Q60", "position": [4, 1], "step": 150, "ordinal_position": 151}, {"identifier": "U79", "position": [3, 1], "step": 151, "ordinal_position": 152}, {"identifier": "G92", "position": [2, 1], "step": 152, "ordinal_position": 153}, {"identifier": "V38", "position": [1, 1], "step": 153, "ordinal_position": 154}, {"identifier": "J02", "position": [1, 2], "step": 154, "ordinal_position": 155}, {"identifier": "N28", "position": [1, 3], "step": 155, "ordinal_position": 156}, {"identifier": "I26", "position": [1, 4], "step": 156, "ordinal_position": 157}, {"identifier": "O03", "position": [1, 5], "step": 157, "ordinal_position": 158}, {"identifier": "U22", "position": [2, 5], "step": 158, "ordinal_position": 159}, {"identifier": "M24", "position": [3, 5], "step": 159, "ordinal_position": 160}, {"identifier": "K85", "position": [4, 5], "step": 160, "ordinal_position": 161}, {"identifier": "J60", "position": [5, 5], "step": 161, "ordinal_position": 162}, {"identifier": "I20", "position": [5, 4], "step": 162, "ordinal_position": 163}, {"identifier": "X57", "position": [5, 3], "step": 163, "ordinal_position": 164}, {"identifier": "I85", "position": [5, 2], "step": 164, "ordinal_position": 165}, {"identifier": "O97", "position": [5, 1], "step": 165, "ordinal_position": 166}, {"identifier": "Q60", "position": [4, 1], "step": 166, "ordinal_position": 167}, {"identifier": "U79", "position": [3, 1], "step": 167, "ordinal_position": 168}, {"identifier": "G92", "position": [2, 1], "step": 168, "ordinal_position": 169}, {"identifier": "V38", "position": [1, 1], "step": 169, "ordinal_position": 170}, {"identifier": "J02", "position": [1, 2], "step": 170, "ordinal_position": 171}, {"identifier": "N28", "position": [1, 3], "step": 171, "ordinal_position": 172}, {"identifier": "I26", "position": [1, 4], "step": 172, "ordinal_position": 173}, {"identifier": "O03", "position": [1, 5], "step": 173, "ordinal_position": 174}, {"identifier": "U22", "position": [2, 5], "step": 174, "ordinal_position": 175}, {"identifier": "M24", "position": [3, 5], "step": 175, "ordinal_position": 176}, {"identifier": "K85", "position": [4, 5], "step": 176, "ordinal_position": 177}, {"identifier": "J60", "position": [5, 5], "step": 177, "ordinal_position": 178}, {"identifier": "I20", "position": [5, 4], "step": 178, "ordinal_position": 179}, {"identifier": "X57", "position": [5, 3], "step": 179, "ordinal_position": 180}, {"identifier": "I85", "position": [5, 2], "step": 180, "ordinal_position": 181}, {"identifier": "O97", "position": [5, 1], "step": 181, "ordinal_position": 182}, {"identifier": "Q60", "position": [4, 1], "step": 182, "ordinal_position": 183}, {"identifier": "U79", "position": [3, 1], "step": 183, "ordinal_position": 184}, {"identifier": "G92", "position": [2, 1], "step": 184, "ordinal_position": 185}, {"identifier": "V38", "position": [1, 1], "step": 185, "ordinal_position": 186}, {"identifier": "J02", "position": [1, 2], "step": 186, "ordinal_position": 187}, {"identifier": "N28", "position": [1, 3], "step": 187, "ordinal_position": 188}, {"identifier": "I26", "position": [1, 4], "step": 188, "ordinal_position": 189}, {"identifier": "O03", "position": [1, 5], "step": 189, "ordinal_position": 190}, {"identifier": "U22", "position": [2, 5], "step": 190, "ordinal_position": 191}, {"identifier": "M24", "position": [3, 5], "step": 191, "ordinal_position": 192}, {"identifier": "K85", "position": [4, 5], "step": 192, "ordinal_position": 193}, {"identifier": "J60", "position": [5, 5], "step": 193, "ordinal_position": 194}, {"identifier": "I20", "position": [5, 4], "step": 194, "ordinal_position": 195}, {"identifier": "X57", "position": [5, 3], "step": 195, "ordinal_position": 196}, {"identifier": "I85", "position": [5, 2], "step": 196, "ordinal_position": 197}, {"identifier": "O97", "position": [5, 1], "step": 197, "ordinal_position": 198}, {"identifier": "Q60", "position": [4, 1], "step": 198, "ordinal_position": 199}, {"identifier": "U79", "position": [3, 1], "step": 199, "ordinal_position": 200}, {"identifier": "G92", "position": [2, 1], "step": 200, "ordinal_position": 201}, {"identifier": "V38", "position": [1, 1], "step": 201, "ordinal_position": 202}, {"identifier": "J02", "position": [1, 2], "step": 202, "ordinal_position": 203}, {"identifier": "N28", "position": [1, 3], "step": 203, "ordinal_position": 204}, {"identifier": "I26", "position": [1, 4], "step": 204, "ordinal_position": 205}, {"identifier": "O03", "position": [1, 5], "step": 205, "ordinal_position": 206}, {"identifier": "U22", "position": [2, 5], "step": 206, "ordinal_position": 207}, {"identifier": "M24", "position": [3, 5], "step": 207, "ordinal_position": 208}, {"identifier": "K85", "position": [4, 5], "step": 208, "ordinal_position": 209}, {"identifier": "J60", "position": [5, 5], "step": 209, "ordinal_position": 210}, {"identifier": "I20", "position": [5, 4], "step": 210, "ordinal_position": 211}, {"identifier": "X57", "position": [5, 3], "step": 211, "ordinal_position": 212}, {"identifier": "I85", "position": [5, 2], "step": 212, "ordinal_position": 213}, {"identifier": "O97", "position": [5, 1], "step": 213, "ordinal_position": 214}, {"identifier": "Q60", "position": [4, 1], "step": 214, "ordinal_position": 215}, {"identifier": "U79", "position": [3, 1], "step": 215, "ordinal_position": 216}, {"identifier": "G92", "position": [2, 1], "step": 216, "ordinal_position": 217}, {"identifier": "V38", "position": [1, 1], "step": 217, "ordinal_position": 218}, {"identifier": "J02", "position": [1, 2], "step": 218, "ordinal_position": 219}, {"identifier": "N28", "position": [1, 3], "step": 219, "ordinal_position": 220}, {"identifier": "I26", "position": [1, 4], "step": 220, "ordinal_position": 221}, {"identifier": "O03", "position": [1, 5], "step": 221, "ordinal_position": 222}, {"identifier": "U22", "position": [2, 5], "step": 222, "ordinal_position": 223}, {"identifier": "M24", "position": [3, 5], "step": 223, "ordinal_position": 224}, {"identifier": "K85", "position": [4, 5], "step": 224, "ordinal_position": 225}, {"identifier": "J60", "position": [5, 5], "step": 225, "ordinal_position": 226}, {"identifier": "I20", "position": [5, 4], "step": 226, "ordinal_position": 227}, {"identifier": "X57", "position": [5, 3], "step": 227, "ordinal_position": 228}, {"identifier": "I85", "position": [5, 2], "step": 228, "ordinal_position": 229}, {"identifier": "O97", "position": [5, 1], "step": 229, "ordinal_position": 230}, {"identifier": "Q60", "position": [4, 1], "step": 230, "ordinal_position": 231}, {"identifier": "U79", "position": [3, 1], "step": 231, "ordinal_position": 232}, {"identifier": "G92", "position": [2, 1], "step": 232, "ordinal_position": 233}, {"identifier": "V38", "position": [1, 1], "step": 233, "ordinal_position": 234}, {"identifier": "J02", "position": [1, 2], "step": 234, "ordinal_position": 235}, {"identifier": "N28", "position": [1, 3], "step": 235, "ordinal_position": 236}, {"identifier": "I26", "position": [1, 4], "step": 236, "ordinal_position": 237}, {"identifier": "O03", "position": [1, 5], "step": 237, "ordinal_position": 238}, {"identifier": "U22", "position": [2, 5], "step": 238, "ordinal_position": 239}, {"identifier": "M24", "position": [3, 5], "step": 239, "ordinal_position": 240}, {"identifier": "K85", "position": [4, 5], "step": 240, "ordinal_position": 241}, {"identifier": "J60", "position": [5, 5], "step": 241, "ordinal_position": 242}, {"identifier": "I20", "position": [5, 4], "step": 242, "ordinal_position": 243}, {"identifier": "X57", "position": [5, 3], "step": 243, "ordinal_position": 244}, {"identifier": "I85", "position": [5, 2], "step": 244, "ordinal_position": 245}, {"identifier": "O97", "position": [5, 1], "step": 245, "ordinal_position": 246}, {"identifier": "Q60", "position": [4, 1], "step": 246, "ordinal_position": 247}, {"identifier": "U79", "position": [3, 1], "step": 247, "ordinal_position": 248}, {"identifier": "G92", "position": [2, 1], "step": 248, "ordinal_position": 249}, {"identifier": "V38", "position": [1, 1], "step": 249, "ordinal_position": 250}, {"identifier": "J02", "position": [1, 2], "step": 250, "ordinal_position": 251}, {"identifier": "N28", "position": [1, 3], "step": 251, "ordinal_position": 252}, {"identifier": "I26", "position": [1, 4], "step": 252, "ordinal_position": 253}, {"identifier": "O03", "position": [1, 5], "step": 253, "ordinal_position": 254}, {"identifier": "U22", "position": [2, 5], "step": 254, "ordinal_position": 255}, {"identifier": "M24", "position": [3, 5], "step": 255, "ordinal_position": 256}, {"identifier": "K85", "position": [4, 5], "step": 256, "ordinal_position": 257}, {"identifier": "J60", "position": [5, 5], "step": 257, "ordinal_position": 258}, {"identifier": "I20", "position": [5, 4], "step": 258, "ordinal_position": 259}, {"identifier": "X57", "position": [5, 3], "step": 259, "ordinal_position": 260}, {"identifier": "I85", "position": [5, 2], "step": 260, "ordinal_position": 261}, {"identifier": "O97", "position": [5, 1], "step": 261, "ordinal_position": 262}, {"identifier": "Q60", "position": [4, 1], "step": 262, "ordinal_position": 263}, {"identifier": "U79", "position": [3, 1], "step": 263, "ordinal_position": 264}, {"identifier": "G92", "position": [2, 1], "step": 264, "ordinal_position": 265}, {"identifier": "V38", "position": [1, 1], "step": 265, "ordinal_position": 266}, {"identifier": "J02", "position": [1, 2], "step": 266, "ordinal_position": 267}, {"identifier": "N28", "position": [1, 3], "step": 267, "ordinal_position": 268}, {"identifier": "I26", "position": [1, 4], "step": 268, "ordinal_position": 269}, {"identifier": "O03", "position": [1, 5], "step": 269, "ordinal_position": 270}, {"identifier": "U22", "position": [2, 5], "step": 270, "ordinal_position": 271}, {"identifier": "M24", "position": [3, 5], "step": 271, "ordinal_position": 272}, {"identifier": "K85", "position": [4, 5], "step": 272, "ordinal_position": 273}, {"identifier": "J60", "position": [5, 5], "step": 273, "ordinal_position": 274}, {"identifier": "I20", "position": [5, 4], "step": 274, "ordinal_position": 275}, {"identifier": "X57", "position": [5, 3], "step": 275, "ordinal_position": 276}, {"identifier": "I85", "position": [5, 2], "step": 276, "ordinal_position": 277}, {"identifier": "O97", "position": [5, 1], "step": 277, "ordinal_position": 278}, {"identifier": "Q60", "position": [4, 1], "step": 278, "ordinal_position": 279}, {"identifier": "U79", "position": [3, 1], "step": 279, "ordinal_position": 280}, {"identifier": "G92", "position": [2, 1], "step": 280, "ordinal_position": 281}, {"identifier": "V38", "position": [1, 1], "step": 281, "ordinal_position": 282}, {"identifier": "J02", "position": [1, 2], "step": 282, "ordinal_position": 283}, {"identifier": "N28", "position": [1, 3], "step": 283, "ordinal_position": 284}, {"identifier": "I26", "position": [1, 4], "step": 284, "ordinal_position": 285}, {"identifier": "O03", "position": [1, 5], "step": 285, "ordinal_position": 286}, {"identifier": "U22", "position": [2, 5], "step": 286, "ordinal_position": 287}, {"identifier": "M24", "position": [3, 5], "step": 287, "ordinal_position": 288}, {"identifier": "K85", "position": [4, 5], "step": 288, "ordinal_position": 289}, {"identifier": "J60", "position": [5, 5], "step": 289, "ordinal_position": 290}, {"identifier": "I20", "position": [5, 4], "step": 290, "ordinal_position": 291}, {"identifier": "X57", "position": [5, 3], "step": 291, "ordinal_position": 292}, {"identifier": "I85", "position": [5, 2], "step": 292, "ordinal_position": 293}, {"identifier": "O97", "position": [5, 1], "step": 293, "ordinal_position": 294}, {"identifier": "Q60", "position": [4, 1], "step": 294, "ordinal_position": 295}, {"identifier": "U79", "position": [3, 1], "step": 295, "ordinal_position": 296}, {"identifier": "G92", "position": [2, 1], "step": 296, "ordinal_position": 297}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 297, "direction": "right", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_018.json"}} {"qa_id": "48e63008fd1b4c6499bc08ff237eb9e4", "image_id": "L3-MazeLoop-test_7x7_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U79, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 257th position in this traversal?", "start_object_id": "U79", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [257], "ordinal_strings": ["257th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "U79", "traversal_path": [{"identifier": "U79", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "G92", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "V38", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "J02", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "N28", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "I26", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "O03", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "U22", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "M24", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "K85", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "J60", "position": [5, 5], "step": 10, "ordinal_position": 11}, {"identifier": "I20", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "X57", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "I85", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "O97", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "Q60", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "U79", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "G92", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "V38", "position": [1, 1], "step": 18, "ordinal_position": 19}, {"identifier": "J02", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "N28", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "I26", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "O03", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "U22", "position": [2, 5], "step": 23, "ordinal_position": 24}, {"identifier": "M24", "position": [3, 5], "step": 24, "ordinal_position": 25}, {"identifier": "K85", "position": [4, 5], "step": 25, "ordinal_position": 26}, {"identifier": "J60", "position": [5, 5], "step": 26, "ordinal_position": 27}, {"identifier": "I20", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "X57", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "I85", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "O97", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Q60", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "U79", "position": [3, 1], "step": 32, "ordinal_position": 33}, {"identifier": "G92", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "V38", "position": [1, 1], "step": 34, "ordinal_position": 35}, {"identifier": "J02", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "N28", "position": [1, 3], "step": 36, "ordinal_position": 37}, {"identifier": "I26", "position": [1, 4], "step": 37, "ordinal_position": 38}, {"identifier": "O03", "position": [1, 5], "step": 38, "ordinal_position": 39}, {"identifier": "U22", "position": [2, 5], "step": 39, "ordinal_position": 40}, {"identifier": "M24", "position": [3, 5], "step": 40, "ordinal_position": 41}, {"identifier": "K85", "position": [4, 5], "step": 41, "ordinal_position": 42}, {"identifier": "J60", "position": [5, 5], "step": 42, "ordinal_position": 43}, {"identifier": "I20", "position": [5, 4], "step": 43, "ordinal_position": 44}, {"identifier": "X57", "position": [5, 3], "step": 44, "ordinal_position": 45}, {"identifier": "I85", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "O97", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Q60", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "U79", "position": [3, 1], "step": 48, "ordinal_position": 49}, {"identifier": "G92", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "V38", "position": [1, 1], "step": 50, "ordinal_position": 51}, {"identifier": "J02", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "N28", "position": [1, 3], "step": 52, "ordinal_position": 53}, {"identifier": "I26", "position": [1, 4], "step": 53, "ordinal_position": 54}, {"identifier": "O03", "position": [1, 5], "step": 54, "ordinal_position": 55}, {"identifier": "U22", "position": [2, 5], "step": 55, "ordinal_position": 56}, {"identifier": "M24", "position": [3, 5], "step": 56, "ordinal_position": 57}, {"identifier": "K85", "position": [4, 5], "step": 57, "ordinal_position": 58}, {"identifier": "J60", "position": [5, 5], "step": 58, "ordinal_position": 59}, {"identifier": "I20", "position": [5, 4], "step": 59, "ordinal_position": 60}, {"identifier": "X57", "position": [5, 3], "step": 60, "ordinal_position": 61}, {"identifier": "I85", "position": [5, 2], "step": 61, "ordinal_position": 62}, {"identifier": "O97", "position": [5, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Q60", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "U79", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "G92", "position": [2, 1], "step": 65, "ordinal_position": 66}, {"identifier": "V38", "position": [1, 1], "step": 66, "ordinal_position": 67}, {"identifier": "J02", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "N28", "position": [1, 3], "step": 68, "ordinal_position": 69}, {"identifier": "I26", "position": [1, 4], "step": 69, "ordinal_position": 70}, {"identifier": "O03", "position": [1, 5], "step": 70, "ordinal_position": 71}, {"identifier": "U22", "position": [2, 5], "step": 71, "ordinal_position": 72}, {"identifier": "M24", "position": [3, 5], "step": 72, "ordinal_position": 73}, {"identifier": "K85", "position": [4, 5], "step": 73, "ordinal_position": 74}, {"identifier": "J60", "position": [5, 5], "step": 74, "ordinal_position": 75}, {"identifier": "I20", "position": [5, 4], "step": 75, "ordinal_position": 76}, {"identifier": "X57", "position": [5, 3], "step": 76, "ordinal_position": 77}, {"identifier": "I85", "position": [5, 2], "step": 77, "ordinal_position": 78}, {"identifier": "O97", "position": [5, 1], "step": 78, "ordinal_position": 79}, {"identifier": "Q60", "position": [4, 1], "step": 79, "ordinal_position": 80}, {"identifier": "U79", "position": [3, 1], "step": 80, "ordinal_position": 81}, {"identifier": "G92", "position": [2, 1], "step": 81, "ordinal_position": 82}, {"identifier": "V38", "position": [1, 1], "step": 82, "ordinal_position": 83}, {"identifier": "J02", "position": [1, 2], "step": 83, "ordinal_position": 84}, {"identifier": "N28", "position": [1, 3], "step": 84, "ordinal_position": 85}, {"identifier": "I26", "position": [1, 4], "step": 85, "ordinal_position": 86}, {"identifier": "O03", "position": [1, 5], "step": 86, "ordinal_position": 87}, {"identifier": "U22", "position": [2, 5], "step": 87, "ordinal_position": 88}, {"identifier": "M24", "position": [3, 5], "step": 88, "ordinal_position": 89}, {"identifier": "K85", "position": [4, 5], "step": 89, "ordinal_position": 90}, {"identifier": "J60", "position": [5, 5], "step": 90, "ordinal_position": 91}, {"identifier": "I20", "position": [5, 4], "step": 91, "ordinal_position": 92}, {"identifier": "X57", "position": [5, 3], "step": 92, "ordinal_position": 93}, {"identifier": "I85", "position": [5, 2], "step": 93, "ordinal_position": 94}, {"identifier": "O97", "position": [5, 1], "step": 94, "ordinal_position": 95}, {"identifier": "Q60", "position": [4, 1], "step": 95, "ordinal_position": 96}, {"identifier": "U79", "position": [3, 1], "step": 96, "ordinal_position": 97}, {"identifier": "G92", 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{"identifier": "J60", "position": [5, 5], "step": 122, "ordinal_position": 123}, {"identifier": "I20", "position": [5, 4], "step": 123, "ordinal_position": 124}, {"identifier": "X57", "position": [5, 3], "step": 124, "ordinal_position": 125}, {"identifier": "I85", "position": [5, 2], "step": 125, "ordinal_position": 126}, {"identifier": "O97", "position": [5, 1], "step": 126, "ordinal_position": 127}, {"identifier": "Q60", "position": [4, 1], "step": 127, "ordinal_position": 128}, {"identifier": "U79", "position": [3, 1], "step": 128, "ordinal_position": 129}, {"identifier": "G92", "position": [2, 1], "step": 129, "ordinal_position": 130}, {"identifier": "V38", "position": [1, 1], "step": 130, "ordinal_position": 131}, {"identifier": "J02", "position": [1, 2], "step": 131, "ordinal_position": 132}, {"identifier": "N28", "position": [1, 3], "step": 132, "ordinal_position": 133}, {"identifier": "I26", "position": [1, 4], "step": 133, "ordinal_position": 134}, {"identifier": "O03", "position": [1, 5], "step": 134, "ordinal_position": 135}, {"identifier": "U22", "position": [2, 5], "step": 135, "ordinal_position": 136}, {"identifier": "M24", "position": [3, 5], "step": 136, "ordinal_position": 137}, {"identifier": "K85", "position": [4, 5], "step": 137, "ordinal_position": 138}, {"identifier": "J60", "position": [5, 5], "step": 138, "ordinal_position": 139}, {"identifier": "I20", "position": [5, 4], "step": 139, "ordinal_position": 140}, {"identifier": "X57", "position": [5, 3], "step": 140, "ordinal_position": 141}, {"identifier": "I85", "position": [5, 2], "step": 141, "ordinal_position": 142}, {"identifier": "O97", "position": [5, 1], "step": 142, "ordinal_position": 143}, {"identifier": "Q60", "position": [4, 1], "step": 143, "ordinal_position": 144}, {"identifier": "U79", "position": [3, 1], "step": 144, "ordinal_position": 145}, {"identifier": "G92", "position": [2, 1], "step": 145, "ordinal_position": 146}, {"identifier": "V38", "position": [1, 1], "step": 146, "ordinal_position": 147}, {"identifier": "J02", "position": [1, 2], "step": 147, "ordinal_position": 148}, {"identifier": "N28", "position": [1, 3], "step": 148, "ordinal_position": 149}, {"identifier": "I26", "position": [1, 4], "step": 149, "ordinal_position": 150}, {"identifier": "O03", "position": [1, 5], "step": 150, "ordinal_position": 151}, {"identifier": "U22", "position": [2, 5], "step": 151, "ordinal_position": 152}, {"identifier": "M24", "position": [3, 5], "step": 152, "ordinal_position": 153}, {"identifier": "K85", "position": [4, 5], "step": 153, "ordinal_position": 154}, {"identifier": "J60", "position": [5, 5], "step": 154, "ordinal_position": 155}, {"identifier": "I20", "position": [5, 4], "step": 155, "ordinal_position": 156}, {"identifier": "X57", "position": [5, 3], "step": 156, "ordinal_position": 157}, {"identifier": "I85", "position": [5, 2], "step": 157, "ordinal_position": 158}, {"identifier": "O97", "position": [5, 1], "step": 158, "ordinal_position": 159}, {"identifier": "Q60", "position": [4, 1], "step": 159, "ordinal_position": 160}, {"identifier": "U79", "position": [3, 1], "step": 160, "ordinal_position": 161}, {"identifier": "G92", "position": [2, 1], "step": 161, "ordinal_position": 162}, {"identifier": "V38", "position": [1, 1], "step": 162, "ordinal_position": 163}, {"identifier": "J02", "position": [1, 2], "step": 163, "ordinal_position": 164}, {"identifier": "N28", "position": [1, 3], "step": 164, "ordinal_position": 165}, {"identifier": "I26", "position": [1, 4], "step": 165, "ordinal_position": 166}, {"identifier": "O03", "position": [1, 5], "step": 166, "ordinal_position": 167}, {"identifier": "U22", "position": [2, 5], "step": 167, "ordinal_position": 168}, {"identifier": "M24", "position": [3, 5], "step": 168, "ordinal_position": 169}, {"identifier": "K85", "position": [4, 5], "step": 169, "ordinal_position": 170}, {"identifier": "J60", "position": [5, 5], "step": 170, "ordinal_position": 171}, {"identifier": "I20", "position": [5, 4], "step": 171, "ordinal_position": 172}, {"identifier": "X57", "position": [5, 3], "step": 172, "ordinal_position": 173}, {"identifier": "I85", "position": [5, 2], "step": 173, "ordinal_position": 174}, {"identifier": "O97", "position": [5, 1], "step": 174, "ordinal_position": 175}, {"identifier": "Q60", "position": [4, 1], "step": 175, "ordinal_position": 176}, {"identifier": "U79", "position": [3, 1], "step": 176, "ordinal_position": 177}, {"identifier": "G92", "position": [2, 1], "step": 177, "ordinal_position": 178}, {"identifier": "V38", "position": [1, 1], "step": 178, "ordinal_position": 179}, {"identifier": "J02", "position": [1, 2], "step": 179, "ordinal_position": 180}, {"identifier": "N28", "position": [1, 3], "step": 180, "ordinal_position": 181}, {"identifier": "I26", "position": [1, 4], "step": 181, "ordinal_position": 182}, {"identifier": "O03", "position": [1, 5], "step": 182, "ordinal_position": 183}, {"identifier": "U22", "position": [2, 5], "step": 183, "ordinal_position": 184}, {"identifier": "M24", "position": [3, 5], "step": 184, "ordinal_position": 185}, {"identifier": "K85", "position": [4, 5], "step": 185, "ordinal_position": 186}, {"identifier": "J60", "position": [5, 5], "step": 186, "ordinal_position": 187}, {"identifier": "I20", "position": [5, 4], "step": 187, "ordinal_position": 188}, {"identifier": "X57", "position": [5, 3], "step": 188, "ordinal_position": 189}, {"identifier": "I85", "position": [5, 2], "step": 189, "ordinal_position": 190}, {"identifier": "O97", "position": [5, 1], "step": 190, "ordinal_position": 191}, {"identifier": "Q60", "position": [4, 1], "step": 191, "ordinal_position": 192}, {"identifier": "U79", "position": [3, 1], "step": 192, "ordinal_position": 193}, {"identifier": "G92", "position": [2, 1], "step": 193, "ordinal_position": 194}, {"identifier": "V38", "position": [1, 1], "step": 194, "ordinal_position": 195}, {"identifier": "J02", "position": [1, 2], "step": 195, "ordinal_position": 196}, {"identifier": "N28", "position": [1, 3], "step": 196, "ordinal_position": 197}, {"identifier": "I26", "position": [1, 4], "step": 197, "ordinal_position": 198}, {"identifier": "O03", "position": [1, 5], "step": 198, "ordinal_position": 199}, {"identifier": "U22", "position": [2, 5], "step": 199, "ordinal_position": 200}, {"identifier": "M24", "position": [3, 5], "step": 200, "ordinal_position": 201}, {"identifier": "K85", "position": [4, 5], "step": 201, "ordinal_position": 202}, {"identifier": "J60", "position": [5, 5], "step": 202, "ordinal_position": 203}, {"identifier": "I20", "position": [5, 4], "step": 203, "ordinal_position": 204}, {"identifier": "X57", "position": [5, 3], "step": 204, "ordinal_position": 205}, {"identifier": "I85", "position": [5, 2], "step": 205, "ordinal_position": 206}, {"identifier": "O97", "position": [5, 1], "step": 206, "ordinal_position": 207}, {"identifier": "Q60", "position": [4, 1], "step": 207, "ordinal_position": 208}, {"identifier": "U79", "position": [3, 1], "step": 208, "ordinal_position": 209}, {"identifier": "G92", "position": [2, 1], "step": 209, "ordinal_position": 210}, {"identifier": "V38", "position": [1, 1], "step": 210, "ordinal_position": 211}, {"identifier": "J02", "position": [1, 2], "step": 211, "ordinal_position": 212}, {"identifier": "N28", "position": [1, 3], "step": 212, "ordinal_position": 213}, {"identifier": "I26", "position": [1, 4], "step": 213, "ordinal_position": 214}, {"identifier": "O03", "position": [1, 5], "step": 214, "ordinal_position": 215}, {"identifier": "U22", "position": [2, 5], "step": 215, "ordinal_position": 216}, {"identifier": "M24", "position": [3, 5], "step": 216, "ordinal_position": 217}, {"identifier": "K85", "position": [4, 5], "step": 217, "ordinal_position": 218}, {"identifier": "J60", "position": [5, 5], "step": 218, "ordinal_position": 219}, {"identifier": "I20", "position": [5, 4], "step": 219, "ordinal_position": 220}, {"identifier": "X57", "position": [5, 3], "step": 220, "ordinal_position": 221}, {"identifier": "I85", "position": [5, 2], "step": 221, "ordinal_position": 222}, {"identifier": "O97", "position": [5, 1], "step": 222, "ordinal_position": 223}, {"identifier": "Q60", "position": [4, 1], "step": 223, "ordinal_position": 224}, {"identifier": "U79", "position": [3, 1], "step": 224, "ordinal_position": 225}, {"identifier": "G92", "position": [2, 1], "step": 225, "ordinal_position": 226}, {"identifier": "V38", "position": [1, 1], "step": 226, "ordinal_position": 227}, {"identifier": "J02", "position": [1, 2], "step": 227, "ordinal_position": 228}, {"identifier": "N28", "position": [1, 3], "step": 228, "ordinal_position": 229}, {"identifier": "I26", "position": [1, 4], "step": 229, "ordinal_position": 230}, {"identifier": "O03", "position": [1, 5], "step": 230, "ordinal_position": 231}, {"identifier": "U22", "position": [2, 5], "step": 231, "ordinal_position": 232}, {"identifier": "M24", "position": [3, 5], "step": 232, "ordinal_position": 233}, {"identifier": "K85", "position": [4, 5], "step": 233, "ordinal_position": 234}, {"identifier": "J60", "position": [5, 5], "step": 234, "ordinal_position": 235}, {"identifier": "I20", "position": [5, 4], "step": 235, "ordinal_position": 236}, {"identifier": "X57", "position": [5, 3], "step": 236, "ordinal_position": 237}, {"identifier": "I85", "position": [5, 2], "step": 237, "ordinal_position": 238}, {"identifier": "O97", "position": [5, 1], "step": 238, "ordinal_position": 239}, {"identifier": "Q60", "position": [4, 1], "step": 239, "ordinal_position": 240}, {"identifier": "U79", "position": [3, 1], "step": 240, "ordinal_position": 241}, {"identifier": "G92", "position": [2, 1], "step": 241, "ordinal_position": 242}, {"identifier": "V38", "position": [1, 1], "step": 242, "ordinal_position": 243}, {"identifier": "J02", "position": [1, 2], "step": 243, "ordinal_position": 244}, {"identifier": "N28", "position": [1, 3], "step": 244, "ordinal_position": 245}, {"identifier": "I26", "position": [1, 4], "step": 245, "ordinal_position": 246}, {"identifier": "O03", "position": [1, 5], "step": 246, "ordinal_position": 247}, {"identifier": "U22", "position": [2, 5], "step": 247, "ordinal_position": 248}, {"identifier": "M24", "position": [3, 5], "step": 248, "ordinal_position": 249}, {"identifier": "K85", "position": [4, 5], "step": 249, "ordinal_position": 250}, {"identifier": "J60", "position": [5, 5], "step": 250, "ordinal_position": 251}, {"identifier": "I20", "position": [5, 4], "step": 251, "ordinal_position": 252}, {"identifier": "X57", "position": [5, 3], "step": 252, "ordinal_position": 253}, {"identifier": "I85", "position": [5, 2], "step": 253, "ordinal_position": 254}, {"identifier": "O97", "position": [5, 1], "step": 254, "ordinal_position": 255}, {"identifier": "Q60", "position": [4, 1], "step": 255, "ordinal_position": 256}, {"identifier": "U79", "position": [3, 1], "step": 256, "ordinal_position": 257}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 257, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_018.json"}} {"qa_id": "cb915b6f73c24e68bd6f09f0ec142c09", "image_id": "L3-MazeLoop-test_7x7_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M24, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 111th position in this traversal?", "start_object_id": "M24", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [111], "ordinal_strings": ["111th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "O03", "traversal_path": [{"identifier": "M24", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "K85", "position": [4, 5], "step": 1, "ordinal_position": 2}, {"identifier": "J60", "position": [5, 5], "step": 2, "ordinal_position": 3}, {"identifier": "I20", "position": [5, 4], "step": 3, "ordinal_position": 4}, {"identifier": "X57", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "I85", "position": [5, 2], "step": 5, "ordinal_position": 6}, {"identifier": "O97", "position": [5, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Q60", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "U79", "position": [3, 1], "step": 8, "ordinal_position": 9}, {"identifier": "G92", "position": [2, 1], "step": 9, "ordinal_position": 10}, {"identifier": "V38", "position": [1, 1], "step": 10, "ordinal_position": 11}, {"identifier": "J02", "position": [1, 2], "step": 11, "ordinal_position": 12}, {"identifier": "N28", "position": [1, 3], "step": 12, "ordinal_position": 13}, {"identifier": "I26", "position": [1, 4], "step": 13, "ordinal_position": 14}, {"identifier": "O03", "position": [1, 5], "step": 14, "ordinal_position": 15}, {"identifier": "U22", "position": [2, 5], "step": 15, "ordinal_position": 16}, {"identifier": "M24", "position": [3, 5], "step": 16, "ordinal_position": 17}, {"identifier": "K85", "position": [4, 5], "step": 17, "ordinal_position": 18}, {"identifier": "J60", "position": [5, 5], "step": 18, "ordinal_position": 19}, {"identifier": "I20", "position": [5, 4], "step": 19, "ordinal_position": 20}, {"identifier": "X57", "position": [5, 3], "step": 20, "ordinal_position": 21}, {"identifier": "I85", "position": [5, 2], "step": 21, "ordinal_position": 22}, {"identifier": "O97", "position": [5, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Q60", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "U79", "position": [3, 1], "step": 24, "ordinal_position": 25}, {"identifier": "G92", "position": [2, 1], "step": 25, "ordinal_position": 26}, {"identifier": "V38", "position": [1, 1], "step": 26, "ordinal_position": 27}, {"identifier": "J02", "position": [1, 2], "step": 27, "ordinal_position": 28}, {"identifier": "N28", "position": [1, 3], "step": 28, "ordinal_position": 29}, {"identifier": "I26", "position": [1, 4], "step": 29, "ordinal_position": 30}, {"identifier": "O03", "position": [1, 5], "step": 30, "ordinal_position": 31}, {"identifier": "U22", "position": [2, 5], "step": 31, "ordinal_position": 32}, {"identifier": "M24", "position": [3, 5], "step": 32, "ordinal_position": 33}, {"identifier": "K85", "position": [4, 5], "step": 33, "ordinal_position": 34}, {"identifier": "J60", "position": [5, 5], "step": 34, "ordinal_position": 35}, {"identifier": "I20", "position": [5, 4], "step": 35, "ordinal_position": 36}, {"identifier": "X57", "position": [5, 3], "step": 36, "ordinal_position": 37}, {"identifier": "I85", "position": [5, 2], "step": 37, "ordinal_position": 38}, {"identifier": "O97", "position": [5, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Q60", "position": [4, 1], "step": 39, "ordinal_position": 40}, {"identifier": "U79", "position": [3, 1], "step": 40, "ordinal_position": 41}, {"identifier": "G92", "position": [2, 1], "step": 41, "ordinal_position": 42}, {"identifier": "V38", "position": [1, 1], "step": 42, "ordinal_position": 43}, {"identifier": "J02", "position": [1, 2], "step": 43, "ordinal_position": 44}, {"identifier": "N28", "position": [1, 3], "step": 44, "ordinal_position": 45}, {"identifier": "I26", "position": [1, 4], "step": 45, "ordinal_position": 46}, {"identifier": "O03", "position": [1, 5], "step": 46, "ordinal_position": 47}, {"identifier": "U22", "position": [2, 5], "step": 47, "ordinal_position": 48}, {"identifier": "M24", "position": [3, 5], "step": 48, "ordinal_position": 49}, {"identifier": "K85", "position": [4, 5], "step": 49, "ordinal_position": 50}, {"identifier": "J60", "position": [5, 5], "step": 50, "ordinal_position": 51}, {"identifier": "I20", "position": [5, 4], "step": 51, "ordinal_position": 52}, {"identifier": "X57", "position": [5, 3], "step": 52, "ordinal_position": 53}, {"identifier": "I85", "position": [5, 2], "step": 53, "ordinal_position": 54}, {"identifier": "O97", "position": [5, 1], "step": 54, "ordinal_position": 55}, {"identifier": "Q60", "position": [4, 1], "step": 55, "ordinal_position": 56}, {"identifier": "U79", "position": [3, 1], "step": 56, "ordinal_position": 57}, {"identifier": "G92", "position": [2, 1], "step": 57, "ordinal_position": 58}, {"identifier": "V38", "position": [1, 1], "step": 58, "ordinal_position": 59}, {"identifier": "J02", "position": [1, 2], "step": 59, "ordinal_position": 60}, {"identifier": "N28", "position": [1, 3], "step": 60, "ordinal_position": 61}, {"identifier": "I26", "position": [1, 4], "step": 61, "ordinal_position": 62}, {"identifier": "O03", "position": [1, 5], "step": 62, "ordinal_position": 63}, {"identifier": "U22", "position": [2, 5], "step": 63, "ordinal_position": 64}, {"identifier": "M24", "position": [3, 5], "step": 64, "ordinal_position": 65}, {"identifier": "K85", "position": [4, 5], "step": 65, "ordinal_position": 66}, {"identifier": "J60", "position": [5, 5], "step": 66, "ordinal_position": 67}, {"identifier": "I20", "position": [5, 4], "step": 67, "ordinal_position": 68}, {"identifier": "X57", "position": [5, 3], "step": 68, "ordinal_position": 69}, {"identifier": "I85", "position": [5, 2], "step": 69, "ordinal_position": 70}, {"identifier": "O97", "position": [5, 1], "step": 70, "ordinal_position": 71}, {"identifier": "Q60", "position": [4, 1], "step": 71, "ordinal_position": 72}, {"identifier": "U79", "position": [3, 1], "step": 72, "ordinal_position": 73}, {"identifier": "G92", "position": [2, 1], "step": 73, "ordinal_position": 74}, {"identifier": "V38", "position": [1, 1], "step": 74, "ordinal_position": 75}, {"identifier": "J02", "position": [1, 2], "step": 75, "ordinal_position": 76}, {"identifier": "N28", "position": [1, 3], "step": 76, "ordinal_position": 77}, {"identifier": "I26", "position": [1, 4], "step": 77, "ordinal_position": 78}, {"identifier": "O03", "position": [1, 5], "step": 78, "ordinal_position": 79}, {"identifier": "U22", "position": [2, 5], "step": 79, "ordinal_position": 80}, {"identifier": "M24", "position": [3, 5], "step": 80, "ordinal_position": 81}, {"identifier": "K85", "position": [4, 5], "step": 81, "ordinal_position": 82}, {"identifier": "J60", "position": [5, 5], "step": 82, "ordinal_position": 83}, {"identifier": "I20", "position": [5, 4], "step": 83, "ordinal_position": 84}, {"identifier": "X57", "position": [5, 3], "step": 84, "ordinal_position": 85}, {"identifier": "I85", "position": [5, 2], "step": 85, "ordinal_position": 86}, {"identifier": "O97", "position": [5, 1], "step": 86, "ordinal_position": 87}, {"identifier": "Q60", "position": [4, 1], "step": 87, "ordinal_position": 88}, {"identifier": "U79", "position": [3, 1], "step": 88, "ordinal_position": 89}, {"identifier": "G92", "position": [2, 1], "step": 89, "ordinal_position": 90}, {"identifier": "V38", "position": [1, 1], "step": 90, "ordinal_position": 91}, {"identifier": "J02", "position": [1, 2], "step": 91, "ordinal_position": 92}, {"identifier": "N28", "position": [1, 3], "step": 92, "ordinal_position": 93}, {"identifier": "I26", "position": [1, 4], "step": 93, "ordinal_position": 94}, {"identifier": "O03", "position": [1, 5], "step": 94, "ordinal_position": 95}, {"identifier": "U22", "position": [2, 5], "step": 95, "ordinal_position": 96}, {"identifier": "M24", "position": [3, 5], "step": 96, "ordinal_position": 97}, {"identifier": "K85", "position": [4, 5], "step": 97, "ordinal_position": 98}, {"identifier": "J60", "position": [5, 5], "step": 98, "ordinal_position": 99}, {"identifier": "I20", "position": [5, 4], "step": 99, "ordinal_position": 100}, {"identifier": "X57", "position": [5, 3], "step": 100, "ordinal_position": 101}, {"identifier": "I85", "position": [5, 2], "step": 101, "ordinal_position": 102}, {"identifier": "O97", "position": [5, 1], "step": 102, "ordinal_position": 103}, {"identifier": "Q60", "position": [4, 1], "step": 103, "ordinal_position": 104}, {"identifier": "U79", "position": [3, 1], "step": 104, "ordinal_position": 105}, {"identifier": "G92", "position": [2, 1], "step": 105, "ordinal_position": 106}, {"identifier": "V38", "position": [1, 1], "step": 106, "ordinal_position": 107}, {"identifier": "J02", "position": [1, 2], "step": 107, "ordinal_position": 108}, {"identifier": "N28", "position": [1, 3], "step": 108, "ordinal_position": 109}, {"identifier": "I26", "position": [1, 4], "step": 109, "ordinal_position": 110}, {"identifier": "O03", "position": [1, 5], "step": 110, "ordinal_position": 111}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 111, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_018.json"}} {"qa_id": "16e552398cdc4e52aa64c5703196f0b6", "image_id": "L3-MazeLoop-test_7x7_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J72, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 261st position in this traversal?", "start_object_id": "J72", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [261], "ordinal_strings": ["261st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Q60", "traversal_path": [{"identifier": "J72", "position": [2, 3], "step": 0, "ordinal_position": 1}, {"identifier": "A27", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "H14", "position": [3, 2], "step": 2, "ordinal_position": 3}, {"identifier": "U79", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Q60", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "O97", "position": [5, 1], "step": 5, "ordinal_position": 6}, {"identifier": "I85", "position": [5, 2], "step": 6, "ordinal_position": 7}, {"identifier": "X57", "position": [5, 3], "step": 7, "ordinal_position": 8}, {"identifier": "I20", "position": [5, 4], "step": 8, "ordinal_position": 9}, {"identifier": "J60", "position": [5, 5], "step": 9, "ordinal_position": 10}, {"identifier": "K85", "position": [4, 5], "step": 10, "ordinal_position": 11}, {"identifier": "M24", "position": [3, 5], "step": 11, "ordinal_position": 12}, {"identifier": "U22", "position": [2, 5], "step": 12, "ordinal_position": 13}, {"identifier": "O03", "position": [1, 5], "step": 13, "ordinal_position": 14}, {"identifier": "I26", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "N28", "position": [1, 3], "step": 15, "ordinal_position": 16}, {"identifier": "J02", "position": [1, 2], "step": 16, "ordinal_position": 17}, {"identifier": "V38", "position": [1, 1], "step": 17, "ordinal_position": 18}, {"identifier": "G92", "position": [2, 1], "step": 18, "ordinal_position": 19}, {"identifier": "U79", "position": [3, 1], "step": 19, "ordinal_position": 20}, {"identifier": "Q60", "position": [4, 1], "step": 20, "ordinal_position": 21}, {"identifier": "O97", "position": [5, 1], "step": 21, "ordinal_position": 22}, {"identifier": "I85", "position": [5, 2], "step": 22, "ordinal_position": 23}, {"identifier": "X57", "position": [5, 3], "step": 23, "ordinal_position": 24}, {"identifier": "I20", "position": [5, 4], "step": 24, "ordinal_position": 25}, {"identifier": "J60", "position": [5, 5], "step": 25, "ordinal_position": 26}, {"identifier": "K85", "position": [4, 5], "step": 26, "ordinal_position": 27}, {"identifier": "M24", "position": [3, 5], "step": 27, "ordinal_position": 28}, {"identifier": "U22", "position": [2, 5], "step": 28, "ordinal_position": 29}, {"identifier": "O03", "position": [1, 5], "step": 29, "ordinal_position": 30}, {"identifier": "I26", "position": [1, 4], "step": 30, "ordinal_position": 31}, {"identifier": "N28", "position": [1, 3], "step": 31, "ordinal_position": 32}, {"identifier": "J02", "position": [1, 2], "step": 32, "ordinal_position": 33}, {"identifier": "V38", "position": [1, 1], "step": 33, "ordinal_position": 34}, {"identifier": "G92", "position": [2, 1], "step": 34, "ordinal_position": 35}, {"identifier": "U79", "position": [3, 1], "step": 35, "ordinal_position": 36}, {"identifier": "Q60", "position": [4, 1], "step": 36, "ordinal_position": 37}, {"identifier": "O97", "position": [5, 1], "step": 37, "ordinal_position": 38}, {"identifier": "I85", "position": [5, 2], "step": 38, "ordinal_position": 39}, {"identifier": "X57", "position": [5, 3], "step": 39, "ordinal_position": 40}, {"identifier": "I20", "position": [5, 4], "step": 40, "ordinal_position": 41}, {"identifier": "J60", "position": [5, 5], "step": 41, "ordinal_position": 42}, {"identifier": "K85", "position": [4, 5], "step": 42, "ordinal_position": 43}, {"identifier": "M24", "position": [3, 5], "step": 43, "ordinal_position": 44}, {"identifier": "U22", "position": [2, 5], "step": 44, "ordinal_position": 45}, {"identifier": "O03", "position": [1, 5], "step": 45, "ordinal_position": 46}, {"identifier": "I26", "position": [1, 4], "step": 46, "ordinal_position": 47}, {"identifier": "N28", "position": [1, 3], "step": 47, "ordinal_position": 48}, {"identifier": "J02", "position": [1, 2], "step": 48, "ordinal_position": 49}, {"identifier": "V38", "position": [1, 1], "step": 49, "ordinal_position": 50}, {"identifier": "G92", "position": [2, 1], "step": 50, "ordinal_position": 51}, {"identifier": "U79", "position": [3, 1], "step": 51, "ordinal_position": 52}, {"identifier": "Q60", "position": [4, 1], "step": 52, "ordinal_position": 53}, {"identifier": "O97", "position": [5, 1], "step": 53, "ordinal_position": 54}, {"identifier": "I85", "position": [5, 2], "step": 54, "ordinal_position": 55}, {"identifier": "X57", "position": [5, 3], "step": 55, "ordinal_position": 56}, {"identifier": "I20", "position": [5, 4], "step": 56, "ordinal_position": 57}, {"identifier": "J60", "position": [5, 5], "step": 57, "ordinal_position": 58}, {"identifier": "K85", "position": [4, 5], "step": 58, "ordinal_position": 59}, {"identifier": "M24", "position": [3, 5], "step": 59, "ordinal_position": 60}, {"identifier": "U22", "position": [2, 5], "step": 60, "ordinal_position": 61}, {"identifier": "O03", "position": [1, 5], "step": 61, "ordinal_position": 62}, {"identifier": "I26", "position": [1, 4], "step": 62, "ordinal_position": 63}, {"identifier": "N28", "position": [1, 3], "step": 63, "ordinal_position": 64}, {"identifier": "J02", "position": [1, 2], "step": 64, "ordinal_position": 65}, {"identifier": "V38", "position": [1, 1], "step": 65, "ordinal_position": 66}, {"identifier": "G92", "position": [2, 1], "step": 66, "ordinal_position": 67}, {"identifier": "U79", "position": [3, 1], "step": 67, "ordinal_position": 68}, {"identifier": "Q60", "position": [4, 1], "step": 68, "ordinal_position": 69}, {"identifier": "O97", "position": [5, 1], "step": 69, "ordinal_position": 70}, {"identifier": "I85", "position": [5, 2], "step": 70, "ordinal_position": 71}, {"identifier": "X57", "position": [5, 3], "step": 71, "ordinal_position": 72}, {"identifier": "I20", "position": [5, 4], "step": 72, "ordinal_position": 73}, {"identifier": "J60", "position": [5, 5], "step": 73, "ordinal_position": 74}, {"identifier": "K85", "position": [4, 5], "step": 74, "ordinal_position": 75}, {"identifier": "M24", "position": [3, 5], "step": 75, "ordinal_position": 76}, {"identifier": "U22", "position": [2, 5], "step": 76, "ordinal_position": 77}, {"identifier": "O03", "position": [1, 5], "step": 77, "ordinal_position": 78}, {"identifier": "I26", "position": [1, 4], "step": 78, "ordinal_position": 79}, {"identifier": "N28", "position": [1, 3], "step": 79, "ordinal_position": 80}, {"identifier": "J02", "position": [1, 2], "step": 80, "ordinal_position": 81}, {"identifier": "V38", "position": [1, 1], "step": 81, "ordinal_position": 82}, {"identifier": "G92", "position": [2, 1], "step": 82, "ordinal_position": 83}, {"identifier": "U79", "position": [3, 1], "step": 83, "ordinal_position": 84}, {"identifier": "Q60", "position": [4, 1], "step": 84, "ordinal_position": 85}, {"identifier": "O97", "position": [5, 1], "step": 85, "ordinal_position": 86}, {"identifier": "I85", "position": [5, 2], "step": 86, "ordinal_position": 87}, {"identifier": "X57", "position": [5, 3], "step": 87, "ordinal_position": 88}, {"identifier": "I20", "position": [5, 4], "step": 88, "ordinal_position": 89}, {"identifier": "J60", "position": [5, 5], "step": 89, "ordinal_position": 90}, {"identifier": "K85", "position": [4, 5], "step": 90, "ordinal_position": 91}, {"identifier": "M24", "position": [3, 5], "step": 91, "ordinal_position": 92}, {"identifier": "U22", "position": [2, 5], "step": 92, "ordinal_position": 93}, {"identifier": "O03", "position": [1, 5], "step": 93, "ordinal_position": 94}, {"identifier": "I26", "position": [1, 4], "step": 94, "ordinal_position": 95}, {"identifier": "N28", "position": [1, 3], "step": 95, "ordinal_position": 96}, {"identifier": "J02", "position": [1, 2], "step": 96, "ordinal_position": 97}, {"identifier": "V38", "position": [1, 1], "step": 97, "ordinal_position": 98}, {"identifier": "G92", "position": [2, 1], "step": 98, "ordinal_position": 99}, {"identifier": "U79", "position": [3, 1], "step": 99, "ordinal_position": 100}, {"identifier": "Q60", "position": [4, 1], "step": 100, "ordinal_position": 101}, {"identifier": "O97", "position": [5, 1], "step": 101, "ordinal_position": 102}, {"identifier": "I85", "position": [5, 2], "step": 102, "ordinal_position": 103}, {"identifier": "X57", "position": [5, 3], "step": 103, "ordinal_position": 104}, {"identifier": "I20", "position": [5, 4], "step": 104, "ordinal_position": 105}, {"identifier": "J60", "position": [5, 5], "step": 105, "ordinal_position": 106}, {"identifier": "K85", "position": [4, 5], "step": 106, "ordinal_position": 107}, {"identifier": "M24", "position": [3, 5], "step": 107, "ordinal_position": 108}, {"identifier": "U22", "position": [2, 5], "step": 108, "ordinal_position": 109}, {"identifier": "O03", "position": [1, 5], "step": 109, "ordinal_position": 110}, {"identifier": "I26", "position": [1, 4], "step": 110, "ordinal_position": 111}, {"identifier": "N28", "position": [1, 3], "step": 111, "ordinal_position": 112}, {"identifier": "J02", "position": [1, 2], "step": 112, "ordinal_position": 113}, {"identifier": "V38", "position": [1, 1], "step": 113, "ordinal_position": 114}, {"identifier": "G92", "position": [2, 1], "step": 114, "ordinal_position": 115}, {"identifier": "U79", "position": [3, 1], "step": 115, "ordinal_position": 116}, {"identifier": "Q60", "position": [4, 1], "step": 116, "ordinal_position": 117}, {"identifier": "O97", "position": [5, 1], "step": 117, "ordinal_position": 118}, {"identifier": "I85", "position": [5, 2], "step": 118, "ordinal_position": 119}, {"identifier": "X57", "position": [5, 3], "step": 119, "ordinal_position": 120}, {"identifier": "I20", "position": [5, 4], "step": 120, "ordinal_position": 121}, {"identifier": "J60", "position": [5, 5], "step": 121, "ordinal_position": 122}, {"identifier": "K85", "position": [4, 5], "step": 122, "ordinal_position": 123}, {"identifier": "M24", "position": [3, 5], "step": 123, "ordinal_position": 124}, {"identifier": "U22", "position": [2, 5], "step": 124, "ordinal_position": 125}, {"identifier": "O03", "position": [1, 5], "step": 125, "ordinal_position": 126}, {"identifier": "I26", "position": [1, 4], "step": 126, "ordinal_position": 127}, {"identifier": "N28", "position": [1, 3], "step": 127, "ordinal_position": 128}, {"identifier": "J02", "position": [1, 2], "step": 128, "ordinal_position": 129}, {"identifier": "V38", "position": [1, 1], "step": 129, "ordinal_position": 130}, {"identifier": "G92", "position": [2, 1], "step": 130, "ordinal_position": 131}, {"identifier": "U79", "position": [3, 1], "step": 131, "ordinal_position": 132}, {"identifier": "Q60", "position": [4, 1], "step": 132, "ordinal_position": 133}, {"identifier": "O97", "position": [5, 1], "step": 133, "ordinal_position": 134}, {"identifier": "I85", "position": [5, 2], "step": 134, "ordinal_position": 135}, {"identifier": "X57", "position": [5, 3], "step": 135, "ordinal_position": 136}, {"identifier": "I20", "position": [5, 4], "step": 136, "ordinal_position": 137}, {"identifier": "J60", "position": [5, 5], "step": 137, "ordinal_position": 138}, {"identifier": "K85", "position": [4, 5], "step": 138, "ordinal_position": 139}, {"identifier": "M24", "position": [3, 5], "step": 139, "ordinal_position": 140}, {"identifier": "U22", "position": [2, 5], "step": 140, "ordinal_position": 141}, {"identifier": "O03", "position": [1, 5], "step": 141, "ordinal_position": 142}, {"identifier": "I26", "position": [1, 4], "step": 142, "ordinal_position": 143}, {"identifier": "N28", "position": [1, 3], "step": 143, "ordinal_position": 144}, {"identifier": "J02", "position": [1, 2], "step": 144, "ordinal_position": 145}, {"identifier": "V38", "position": [1, 1], "step": 145, "ordinal_position": 146}, {"identifier": "G92", "position": [2, 1], "step": 146, "ordinal_position": 147}, {"identifier": "U79", "position": [3, 1], "step": 147, "ordinal_position": 148}, {"identifier": "Q60", "position": [4, 1], "step": 148, "ordinal_position": 149}, {"identifier": "O97", "position": [5, 1], "step": 149, "ordinal_position": 150}, {"identifier": "I85", "position": [5, 2], "step": 150, "ordinal_position": 151}, {"identifier": "X57", "position": [5, 3], "step": 151, "ordinal_position": 152}, {"identifier": "I20", "position": [5, 4], "step": 152, "ordinal_position": 153}, {"identifier": "J60", "position": [5, 5], "step": 153, "ordinal_position": 154}, {"identifier": "K85", "position": [4, 5], "step": 154, "ordinal_position": 155}, {"identifier": "M24", "position": [3, 5], "step": 155, "ordinal_position": 156}, {"identifier": "U22", "position": [2, 5], "step": 156, "ordinal_position": 157}, {"identifier": "O03", "position": [1, 5], "step": 157, "ordinal_position": 158}, {"identifier": "I26", "position": [1, 4], "step": 158, "ordinal_position": 159}, {"identifier": "N28", "position": [1, 3], "step": 159, "ordinal_position": 160}, {"identifier": "J02", "position": [1, 2], "step": 160, "ordinal_position": 161}, {"identifier": "V38", "position": [1, 1], "step": 161, "ordinal_position": 162}, {"identifier": "G92", "position": [2, 1], "step": 162, "ordinal_position": 163}, {"identifier": "U79", "position": [3, 1], "step": 163, "ordinal_position": 164}, {"identifier": "Q60", "position": [4, 1], "step": 164, "ordinal_position": 165}, {"identifier": "O97", "position": [5, 1], "step": 165, "ordinal_position": 166}, {"identifier": "I85", "position": [5, 2], "step": 166, "ordinal_position": 167}, {"identifier": "X57", "position": [5, 3], "step": 167, "ordinal_position": 168}, {"identifier": "I20", "position": [5, 4], "step": 168, "ordinal_position": 169}, {"identifier": "J60", "position": [5, 5], "step": 169, "ordinal_position": 170}, {"identifier": "K85", "position": [4, 5], "step": 170, "ordinal_position": 171}, {"identifier": "M24", "position": [3, 5], "step": 171, "ordinal_position": 172}, {"identifier": "U22", "position": [2, 5], "step": 172, "ordinal_position": 173}, {"identifier": "O03", "position": [1, 5], "step": 173, "ordinal_position": 174}, {"identifier": "I26", "position": [1, 4], "step": 174, "ordinal_position": 175}, {"identifier": "N28", "position": [1, 3], "step": 175, "ordinal_position": 176}, {"identifier": "J02", "position": [1, 2], "step": 176, "ordinal_position": 177}, {"identifier": "V38", "position": [1, 1], "step": 177, "ordinal_position": 178}, {"identifier": "G92", "position": [2, 1], "step": 178, "ordinal_position": 179}, {"identifier": "U79", "position": [3, 1], "step": 179, "ordinal_position": 180}, {"identifier": "Q60", "position": [4, 1], "step": 180, "ordinal_position": 181}, {"identifier": "O97", "position": [5, 1], "step": 181, "ordinal_position": 182}, {"identifier": "I85", "position": [5, 2], "step": 182, "ordinal_position": 183}, {"identifier": "X57", "position": [5, 3], "step": 183, "ordinal_position": 184}, {"identifier": "I20", "position": [5, 4], "step": 184, "ordinal_position": 185}, {"identifier": "J60", "position": [5, 5], "step": 185, "ordinal_position": 186}, {"identifier": "K85", "position": [4, 5], "step": 186, "ordinal_position": 187}, {"identifier": "M24", "position": [3, 5], "step": 187, "ordinal_position": 188}, {"identifier": "U22", "position": [2, 5], "step": 188, "ordinal_position": 189}, {"identifier": "O03", "position": [1, 5], "step": 189, "ordinal_position": 190}, {"identifier": "I26", "position": [1, 4], "step": 190, "ordinal_position": 191}, {"identifier": "N28", "position": [1, 3], "step": 191, "ordinal_position": 192}, {"identifier": "J02", "position": [1, 2], "step": 192, "ordinal_position": 193}, {"identifier": "V38", "position": [1, 1], "step": 193, "ordinal_position": 194}, {"identifier": "G92", "position": [2, 1], "step": 194, "ordinal_position": 195}, {"identifier": "U79", "position": [3, 1], "step": 195, "ordinal_position": 196}, {"identifier": "Q60", "position": [4, 1], "step": 196, "ordinal_position": 197}, {"identifier": "O97", "position": [5, 1], "step": 197, "ordinal_position": 198}, {"identifier": "I85", "position": [5, 2], "step": 198, "ordinal_position": 199}, {"identifier": "X57", "position": [5, 3], "step": 199, "ordinal_position": 200}, {"identifier": "I20", "position": [5, 4], "step": 200, "ordinal_position": 201}, {"identifier": "J60", "position": [5, 5], "step": 201, "ordinal_position": 202}, {"identifier": "K85", "position": [4, 5], "step": 202, "ordinal_position": 203}, {"identifier": "M24", "position": [3, 5], "step": 203, "ordinal_position": 204}, {"identifier": "U22", "position": [2, 5], "step": 204, "ordinal_position": 205}, {"identifier": "O03", "position": [1, 5], "step": 205, "ordinal_position": 206}, {"identifier": "I26", "position": [1, 4], "step": 206, "ordinal_position": 207}, {"identifier": "N28", "position": [1, 3], "step": 207, "ordinal_position": 208}, {"identifier": "J02", "position": [1, 2], "step": 208, "ordinal_position": 209}, {"identifier": "V38", "position": [1, 1], "step": 209, "ordinal_position": 210}, {"identifier": "G92", "position": [2, 1], "step": 210, "ordinal_position": 211}, {"identifier": "U79", "position": [3, 1], "step": 211, "ordinal_position": 212}, {"identifier": "Q60", "position": [4, 1], "step": 212, "ordinal_position": 213}, {"identifier": "O97", "position": [5, 1], "step": 213, "ordinal_position": 214}, {"identifier": "I85", "position": [5, 2], "step": 214, "ordinal_position": 215}, {"identifier": "X57", "position": [5, 3], "step": 215, "ordinal_position": 216}, {"identifier": "I20", "position": [5, 4], "step": 216, "ordinal_position": 217}, {"identifier": "J60", "position": [5, 5], "step": 217, "ordinal_position": 218}, {"identifier": "K85", "position": [4, 5], "step": 218, "ordinal_position": 219}, {"identifier": "M24", "position": [3, 5], "step": 219, "ordinal_position": 220}, {"identifier": "U22", "position": [2, 5], "step": 220, "ordinal_position": 221}, {"identifier": "O03", "position": [1, 5], "step": 221, "ordinal_position": 222}, {"identifier": "I26", "position": [1, 4], "step": 222, "ordinal_position": 223}, {"identifier": "N28", "position": [1, 3], "step": 223, "ordinal_position": 224}, {"identifier": "J02", "position": [1, 2], "step": 224, "ordinal_position": 225}, {"identifier": "V38", "position": [1, 1], "step": 225, "ordinal_position": 226}, {"identifier": "G92", "position": [2, 1], "step": 226, "ordinal_position": 227}, {"identifier": "U79", "position": [3, 1], "step": 227, "ordinal_position": 228}, {"identifier": "Q60", "position": [4, 1], "step": 228, "ordinal_position": 229}, {"identifier": "O97", "position": [5, 1], "step": 229, "ordinal_position": 230}, {"identifier": "I85", "position": [5, 2], "step": 230, "ordinal_position": 231}, {"identifier": "X57", "position": [5, 3], "step": 231, "ordinal_position": 232}, {"identifier": "I20", "position": [5, 4], "step": 232, "ordinal_position": 233}, {"identifier": "J60", "position": [5, 5], "step": 233, "ordinal_position": 234}, {"identifier": "K85", "position": [4, 5], "step": 234, "ordinal_position": 235}, {"identifier": "M24", "position": [3, 5], "step": 235, "ordinal_position": 236}, {"identifier": "U22", "position": [2, 5], "step": 236, "ordinal_position": 237}, {"identifier": "O03", "position": [1, 5], "step": 237, "ordinal_position": 238}, {"identifier": "I26", "position": [1, 4], "step": 238, "ordinal_position": 239}, {"identifier": "N28", "position": [1, 3], "step": 239, "ordinal_position": 240}, {"identifier": "J02", "position": [1, 2], "step": 240, "ordinal_position": 241}, {"identifier": "V38", "position": [1, 1], "step": 241, "ordinal_position": 242}, {"identifier": "G92", "position": [2, 1], "step": 242, "ordinal_position": 243}, {"identifier": "U79", "position": [3, 1], "step": 243, "ordinal_position": 244}, {"identifier": "Q60", "position": [4, 1], "step": 244, "ordinal_position": 245}, {"identifier": "O97", "position": [5, 1], "step": 245, "ordinal_position": 246}, {"identifier": "I85", "position": [5, 2], "step": 246, "ordinal_position": 247}, {"identifier": "X57", "position": [5, 3], "step": 247, "ordinal_position": 248}, {"identifier": "I20", "position": [5, 4], "step": 248, "ordinal_position": 249}, {"identifier": "J60", "position": [5, 5], "step": 249, "ordinal_position": 250}, {"identifier": "K85", "position": [4, 5], "step": 250, "ordinal_position": 251}, {"identifier": "M24", "position": [3, 5], "step": 251, "ordinal_position": 252}, {"identifier": "U22", "position": [2, 5], "step": 252, "ordinal_position": 253}, {"identifier": "O03", "position": [1, 5], "step": 253, "ordinal_position": 254}, {"identifier": "I26", "position": [1, 4], "step": 254, "ordinal_position": 255}, {"identifier": "N28", "position": [1, 3], "step": 255, "ordinal_position": 256}, {"identifier": "J02", "position": [1, 2], "step": 256, "ordinal_position": 257}, {"identifier": "V38", "position": [1, 1], "step": 257, "ordinal_position": 258}, {"identifier": "G92", "position": [2, 1], "step": 258, "ordinal_position": 259}, {"identifier": "U79", "position": [3, 1], "step": 259, "ordinal_position": 260}, {"identifier": "Q60", "position": [4, 1], "step": 260, "ordinal_position": 261}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 261, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_018.json"}} {"qa_id": "900299241051494f9c66fd16ed928241", "image_id": "L3-MazeLoop-test_7x7_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E06, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "E06", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "X31", "traversal_path": [{"identifier": "E06", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "D01", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "X71", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "S66", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Q22", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "X31", "position": [1, 1], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 6, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_019.json"}} {"qa_id": "23e1b166ce604b19af580dc7e6f5c603", "image_id": "L3-MazeLoop-test_7x7_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X31, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "X31", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "S66", "traversal_path": [{"identifier": "X31", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Q22", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "S66", "position": [3, 1], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 3, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_019.json"}} {"qa_id": "eba15b10dedc48ed962745c664b6f038", "image_id": "L3-MazeLoop-test_7x7_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A93, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "A93", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "E66", "traversal_path": [{"identifier": "A93", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "W21", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "I25", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "A68", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "R33", "position": [3, 5], "step": 4, "ordinal_position": 5}, {"identifier": "C89", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "E66", "position": [5, 5], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 7, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_019.json"}} {"qa_id": "1257cc268ac44972bf209b469fd71f74", "image_id": "L3-MazeLoop-test_7x7_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X31, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "X31", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "A93", "traversal_path": [{"identifier": "X31", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Q97", "position": [1, 2], "step": 1, "ordinal_position": 2}, {"identifier": "A93", "position": [1, 3], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 3, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_019.json"}} {"qa_id": "fcccfe2b8f8f48ebb5713ea2828a6ff7", "image_id": "L3-MazeLoop-test_7x7_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X71, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "X71", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "I29", "traversal_path": [{"identifier": "X71", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "D01", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "E06", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "I29", "position": [5, 3], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 4, "direction": "right", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_019.json"}} {"qa_id": "1a12c75327984c7bbb1d30356cab6127", "image_id": "L3-MazeLoop-test_7x7_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D01, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 62nd position in this traversal?", "start_object_id": "D01", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [62], "ordinal_strings": ["62nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "M74", "traversal_path": [{"identifier": "D01", "position": [5, 1], "step": 0, "ordinal_position": 1}, {"identifier": "X71", "position": [4, 1], "step": 1, "ordinal_position": 2}, {"identifier": "S66", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Q22", "position": [2, 1], "step": 3, "ordinal_position": 4}, {"identifier": "X31", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Q97", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "A93", "position": [1, 3], "step": 6, "ordinal_position": 7}, {"identifier": "W21", "position": [1, 4], "step": 7, "ordinal_position": 8}, {"identifier": "I25", "position": [1, 5], "step": 8, "ordinal_position": 9}, {"identifier": "A68", "position": [2, 5], "step": 9, "ordinal_position": 10}, {"identifier": "R33", "position": [3, 5], "step": 10, "ordinal_position": 11}, {"identifier": "C89", "position": [4, 5], "step": 11, "ordinal_position": 12}, {"identifier": "E66", "position": [5, 5], "step": 12, "ordinal_position": 13}, {"identifier": "M74", "position": [5, 4], "step": 13, "ordinal_position": 14}, {"identifier": "I29", "position": [5, 3], "step": 14, "ordinal_position": 15}, {"identifier": "E06", "position": [5, 2], "step": 15, "ordinal_position": 16}, {"identifier": "D01", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "X71", "position": [4, 1], "step": 17, "ordinal_position": 18}, {"identifier": "S66", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "Q22", "position": [2, 1], "step": 19, "ordinal_position": 20}, {"identifier": "X31", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Q97", "position": [1, 2], "step": 21, "ordinal_position": 22}, {"identifier": "A93", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "W21", "position": [1, 4], "step": 23, "ordinal_position": 24}, {"identifier": "I25", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "A68", "position": [2, 5], "step": 25, "ordinal_position": 26}, {"identifier": "R33", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "C89", "position": [4, 5], "step": 27, "ordinal_position": 28}, {"identifier": "E66", "position": [5, 5], "step": 28, "ordinal_position": 29}, {"identifier": "M74", "position": [5, 4], "step": 29, "ordinal_position": 30}, {"identifier": "I29", "position": [5, 3], "step": 30, "ordinal_position": 31}, {"identifier": "E06", "position": [5, 2], "step": 31, "ordinal_position": 32}, {"identifier": "D01", "position": [5, 1], "step": 32, "ordinal_position": 33}, {"identifier": "X71", "position": [4, 1], "step": 33, "ordinal_position": 34}, {"identifier": "S66", "position": [3, 1], "step": 34, "ordinal_position": 35}, {"identifier": "Q22", "position": [2, 1], "step": 35, "ordinal_position": 36}, {"identifier": "X31", "position": [1, 1], "step": 36, "ordinal_position": 37}, {"identifier": "Q97", "position": [1, 2], "step": 37, "ordinal_position": 38}, {"identifier": "A93", "position": [1, 3], "step": 38, "ordinal_position": 39}, {"identifier": "W21", "position": [1, 4], "step": 39, "ordinal_position": 40}, {"identifier": "I25", "position": [1, 5], "step": 40, "ordinal_position": 41}, {"identifier": "A68", "position": [2, 5], "step": 41, "ordinal_position": 42}, {"identifier": "R33", "position": [3, 5], "step": 42, "ordinal_position": 43}, {"identifier": "C89", "position": [4, 5], "step": 43, "ordinal_position": 44}, {"identifier": "E66", "position": [5, 5], "step": 44, "ordinal_position": 45}, {"identifier": "M74", "position": [5, 4], "step": 45, "ordinal_position": 46}, {"identifier": "I29", "position": [5, 3], "step": 46, "ordinal_position": 47}, {"identifier": "E06", "position": [5, 2], "step": 47, "ordinal_position": 48}, {"identifier": "D01", "position": [5, 1], "step": 48, "ordinal_position": 49}, {"identifier": "X71", "position": [4, 1], "step": 49, "ordinal_position": 50}, {"identifier": "S66", "position": [3, 1], "step": 50, "ordinal_position": 51}, {"identifier": "Q22", "position": [2, 1], "step": 51, "ordinal_position": 52}, {"identifier": "X31", "position": [1, 1], "step": 52, "ordinal_position": 53}, {"identifier": "Q97", "position": [1, 2], "step": 53, "ordinal_position": 54}, {"identifier": "A93", "position": [1, 3], "step": 54, "ordinal_position": 55}, {"identifier": "W21", "position": [1, 4], "step": 55, "ordinal_position": 56}, {"identifier": "I25", "position": [1, 5], "step": 56, "ordinal_position": 57}, {"identifier": "A68", "position": [2, 5], "step": 57, "ordinal_position": 58}, {"identifier": "R33", "position": [3, 5], "step": 58, "ordinal_position": 59}, {"identifier": "C89", "position": [4, 5], "step": 59, "ordinal_position": 60}, {"identifier": "E66", "position": [5, 5], "step": 60, "ordinal_position": 61}, {"identifier": "M74", "position": [5, 4], "step": 61, "ordinal_position": 62}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 62, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_019.json"}} {"qa_id": "8ef7b7a9a91f4e999d3f7ba706289f15", "image_id": "L3-MazeLoop-test_7x7_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z29, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 33rd position in this traversal?", "start_object_id": "Z29", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [33], "ordinal_strings": ["33rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "A68", "traversal_path": [{"identifier": "Z29", "position": [3, 4], "step": 0, "ordinal_position": 1}, {"identifier": "R33", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "C89", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "E66", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "M74", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "I29", "position": [5, 3], "step": 5, "ordinal_position": 6}, {"identifier": "E06", "position": [5, 2], "step": 6, "ordinal_position": 7}, {"identifier": "D01", "position": [5, 1], "step": 7, "ordinal_position": 8}, {"identifier": "X71", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "S66", "position": [3, 1], "step": 9, "ordinal_position": 10}, {"identifier": "Q22", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "X31", "position": [1, 1], "step": 11, "ordinal_position": 12}, {"identifier": "Q97", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "A93", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "W21", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "I25", "position": [1, 5], "step": 15, "ordinal_position": 16}, {"identifier": "A68", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "R33", "position": [3, 5], "step": 17, "ordinal_position": 18}, {"identifier": "C89", "position": [4, 5], "step": 18, "ordinal_position": 19}, {"identifier": "E66", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "M74", "position": [5, 4], "step": 20, "ordinal_position": 21}, {"identifier": "I29", "position": [5, 3], "step": 21, "ordinal_position": 22}, {"identifier": "E06", "position": [5, 2], "step": 22, "ordinal_position": 23}, {"identifier": "D01", "position": [5, 1], "step": 23, "ordinal_position": 24}, {"identifier": "X71", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "S66", "position": [3, 1], "step": 25, "ordinal_position": 26}, {"identifier": "Q22", "position": [2, 1], "step": 26, "ordinal_position": 27}, {"identifier": "X31", "position": [1, 1], "step": 27, "ordinal_position": 28}, {"identifier": "Q97", "position": [1, 2], "step": 28, "ordinal_position": 29}, {"identifier": "A93", "position": [1, 3], "step": 29, "ordinal_position": 30}, {"identifier": "W21", "position": [1, 4], "step": 30, "ordinal_position": 31}, {"identifier": "I25", "position": [1, 5], "step": 31, "ordinal_position": 32}, {"identifier": "A68", "position": [2, 5], "step": 32, "ordinal_position": 33}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 33, "direction": "down", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_019.json"}} {"qa_id": "73787d36284640bbb9400e3ca28332b5", "image_id": "L3-MazeLoop-test_7x7_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X31, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 20th position in this traversal?", "start_object_id": "X31", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [20], "ordinal_strings": ["20th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "W21", "traversal_path": [{"identifier": "X31", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Q97", "position": [1, 2], "step": 1, "ordinal_position": 2}, {"identifier": "A93", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "W21", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "I25", "position": [1, 5], "step": 4, "ordinal_position": 5}, {"identifier": "A68", "position": [2, 5], "step": 5, "ordinal_position": 6}, {"identifier": "R33", "position": [3, 5], "step": 6, "ordinal_position": 7}, {"identifier": "C89", "position": [4, 5], "step": 7, "ordinal_position": 8}, {"identifier": "E66", "position": [5, 5], "step": 8, "ordinal_position": 9}, {"identifier": "M74", "position": [5, 4], "step": 9, "ordinal_position": 10}, {"identifier": "I29", "position": [5, 3], "step": 10, "ordinal_position": 11}, {"identifier": "E06", "position": [5, 2], "step": 11, "ordinal_position": 12}, {"identifier": "D01", "position": [5, 1], "step": 12, "ordinal_position": 13}, {"identifier": "X71", "position": [4, 1], "step": 13, "ordinal_position": 14}, {"identifier": "S66", "position": [3, 1], "step": 14, "ordinal_position": 15}, {"identifier": "Q22", "position": [2, 1], "step": 15, "ordinal_position": 16}, {"identifier": "X31", "position": [1, 1], "step": 16, "ordinal_position": 17}, {"identifier": "Q97", "position": [1, 2], "step": 17, "ordinal_position": 18}, {"identifier": "A93", "position": [1, 3], "step": 18, "ordinal_position": 19}, {"identifier": "W21", "position": [1, 4], "step": 19, "ordinal_position": 20}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 20, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_019.json"}} {"qa_id": "32ba66e948b743d69fafd6d9811a6399", "image_id": "L3-MazeLoop-test_7x7_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S66, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 69th position in this traversal?", "start_object_id": "S66", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [69], "ordinal_strings": ["69th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "A93", "traversal_path": [{"identifier": "S66", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Q22", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "X31", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Q97", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "A93", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "W21", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "I25", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "A68", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "R33", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "C89", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "E66", "position": [5, 5], "step": 10, "ordinal_position": 11}, {"identifier": "M74", "position": [5, 4], "step": 11, "ordinal_position": 12}, {"identifier": "I29", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "E06", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "D01", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "X71", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "S66", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "Q22", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "X31", "position": [1, 1], "step": 18, "ordinal_position": 19}, {"identifier": "Q97", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "A93", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "W21", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "I25", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "A68", "position": [2, 5], "step": 23, "ordinal_position": 24}, {"identifier": "R33", "position": [3, 5], "step": 24, "ordinal_position": 25}, {"identifier": "C89", "position": [4, 5], "step": 25, "ordinal_position": 26}, {"identifier": "E66", "position": [5, 5], "step": 26, "ordinal_position": 27}, {"identifier": "M74", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "I29", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "E06", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "D01", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "X71", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "S66", "position": [3, 1], "step": 32, "ordinal_position": 33}, {"identifier": "Q22", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "X31", "position": [1, 1], "step": 34, "ordinal_position": 35}, {"identifier": "Q97", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "A93", "position": [1, 3], "step": 36, "ordinal_position": 37}, {"identifier": "W21", "position": [1, 4], "step": 37, "ordinal_position": 38}, {"identifier": "I25", "position": [1, 5], "step": 38, "ordinal_position": 39}, {"identifier": "A68", "position": [2, 5], "step": 39, "ordinal_position": 40}, {"identifier": "R33", "position": [3, 5], "step": 40, "ordinal_position": 41}, {"identifier": "C89", "position": [4, 5], "step": 41, "ordinal_position": 42}, {"identifier": "E66", "position": [5, 5], "step": 42, "ordinal_position": 43}, {"identifier": "M74", "position": [5, 4], "step": 43, "ordinal_position": 44}, {"identifier": "I29", "position": [5, 3], "step": 44, "ordinal_position": 45}, {"identifier": "E06", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "D01", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "X71", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "S66", "position": [3, 1], "step": 48, "ordinal_position": 49}, {"identifier": "Q22", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "X31", "position": [1, 1], "step": 50, "ordinal_position": 51}, {"identifier": "Q97", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "A93", "position": [1, 3], "step": 52, "ordinal_position": 53}, {"identifier": "W21", "position": [1, 4], "step": 53, "ordinal_position": 54}, {"identifier": "I25", "position": [1, 5], "step": 54, "ordinal_position": 55}, {"identifier": "A68", "position": [2, 5], "step": 55, "ordinal_position": 56}, {"identifier": "R33", "position": [3, 5], "step": 56, "ordinal_position": 57}, {"identifier": "C89", "position": [4, 5], "step": 57, "ordinal_position": 58}, {"identifier": "E66", "position": [5, 5], "step": 58, "ordinal_position": 59}, {"identifier": "M74", "position": [5, 4], "step": 59, "ordinal_position": 60}, {"identifier": "I29", "position": [5, 3], "step": 60, "ordinal_position": 61}, {"identifier": "E06", "position": [5, 2], "step": 61, "ordinal_position": 62}, {"identifier": "D01", "position": [5, 1], "step": 62, "ordinal_position": 63}, {"identifier": "X71", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "S66", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "Q22", "position": [2, 1], "step": 65, "ordinal_position": 66}, {"identifier": "X31", "position": [1, 1], "step": 66, "ordinal_position": 67}, {"identifier": "Q97", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "A93", "position": [1, 3], "step": 68, "ordinal_position": 69}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 69, "direction": "left", "turn_preference": "left", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_019.json"}} {"qa_id": "338a22a1013c4272ba2d2619b5a4cf2f", "image_id": "L3-MazeLoop-test_7x7_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q97, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 53rd position in this traversal?", "start_object_id": "Q97", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [53], "ordinal_strings": ["53rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "A68", "traversal_path": [{"identifier": "Q97", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "A93", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "W21", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "I25", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "A68", "position": [2, 5], "step": 4, "ordinal_position": 5}, {"identifier": "R33", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "C89", "position": [4, 5], "step": 6, "ordinal_position": 7}, {"identifier": "E66", "position": [5, 5], "step": 7, "ordinal_position": 8}, {"identifier": "M74", "position": [5, 4], "step": 8, "ordinal_position": 9}, {"identifier": "I29", "position": [5, 3], "step": 9, "ordinal_position": 10}, {"identifier": "E06", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "D01", "position": [5, 1], "step": 11, "ordinal_position": 12}, {"identifier": "X71", "position": [4, 1], "step": 12, "ordinal_position": 13}, {"identifier": "S66", "position": [3, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Q22", "position": [2, 1], "step": 14, "ordinal_position": 15}, {"identifier": "X31", "position": [1, 1], "step": 15, "ordinal_position": 16}, {"identifier": "Q97", "position": [1, 2], "step": 16, "ordinal_position": 17}, {"identifier": "A93", "position": [1, 3], "step": 17, "ordinal_position": 18}, {"identifier": "W21", "position": [1, 4], "step": 18, "ordinal_position": 19}, {"identifier": "I25", "position": [1, 5], "step": 19, "ordinal_position": 20}, {"identifier": "A68", "position": [2, 5], "step": 20, "ordinal_position": 21}, {"identifier": "R33", "position": [3, 5], "step": 21, "ordinal_position": 22}, {"identifier": "C89", "position": [4, 5], "step": 22, "ordinal_position": 23}, {"identifier": "E66", "position": [5, 5], "step": 23, "ordinal_position": 24}, {"identifier": "M74", "position": [5, 4], "step": 24, "ordinal_position": 25}, {"identifier": "I29", "position": [5, 3], "step": 25, "ordinal_position": 26}, {"identifier": "E06", "position": [5, 2], "step": 26, "ordinal_position": 27}, {"identifier": "D01", "position": [5, 1], "step": 27, "ordinal_position": 28}, {"identifier": "X71", "position": [4, 1], "step": 28, "ordinal_position": 29}, {"identifier": "S66", "position": [3, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Q22", "position": [2, 1], "step": 30, "ordinal_position": 31}, {"identifier": "X31", "position": [1, 1], "step": 31, "ordinal_position": 32}, {"identifier": "Q97", "position": [1, 2], "step": 32, "ordinal_position": 33}, {"identifier": "A93", "position": [1, 3], "step": 33, "ordinal_position": 34}, {"identifier": "W21", "position": [1, 4], "step": 34, "ordinal_position": 35}, {"identifier": "I25", "position": [1, 5], "step": 35, "ordinal_position": 36}, {"identifier": "A68", "position": [2, 5], "step": 36, "ordinal_position": 37}, {"identifier": "R33", "position": [3, 5], "step": 37, "ordinal_position": 38}, {"identifier": "C89", "position": [4, 5], "step": 38, "ordinal_position": 39}, {"identifier": "E66", "position": [5, 5], "step": 39, "ordinal_position": 40}, {"identifier": "M74", "position": [5, 4], "step": 40, "ordinal_position": 41}, {"identifier": "I29", "position": [5, 3], "step": 41, "ordinal_position": 42}, {"identifier": "E06", "position": [5, 2], "step": 42, "ordinal_position": 43}, {"identifier": "D01", "position": [5, 1], "step": 43, "ordinal_position": 44}, {"identifier": "X71", "position": [4, 1], "step": 44, "ordinal_position": 45}, {"identifier": "S66", "position": [3, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Q22", "position": [2, 1], "step": 46, "ordinal_position": 47}, {"identifier": "X31", "position": [1, 1], "step": 47, "ordinal_position": 48}, {"identifier": "Q97", "position": [1, 2], "step": 48, "ordinal_position": 49}, {"identifier": "A93", "position": [1, 3], "step": 49, "ordinal_position": 50}, {"identifier": "W21", "position": [1, 4], "step": 50, "ordinal_position": 51}, {"identifier": "I25", "position": [1, 5], "step": 51, "ordinal_position": 52}, {"identifier": "A68", "position": [2, 5], "step": 52, "ordinal_position": 53}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 53, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_019.json"}} {"qa_id": "1fe0791e1f79419a8015e492deaad062", "image_id": "L3-MazeLoop-test_7x7_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E06, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 236th position in this traversal?", "start_object_id": "E06", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [236], "ordinal_strings": ["236th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "X31", "traversal_path": [{"identifier": "E06", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "I29", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "M74", "position": [5, 4], "step": 2, "ordinal_position": 3}, {"identifier": "E66", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "C89", "position": [4, 5], "step": 4, "ordinal_position": 5}, {"identifier": "R33", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "A68", "position": [2, 5], "step": 6, "ordinal_position": 7}, {"identifier": "I25", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "W21", "position": [1, 4], "step": 8, "ordinal_position": 9}, {"identifier": "A93", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "Q97", "position": [1, 2], "step": 10, "ordinal_position": 11}, {"identifier": "X31", "position": [1, 1], "step": 11, "ordinal_position": 12}, {"identifier": "Q22", "position": [2, 1], "step": 12, "ordinal_position": 13}, {"identifier": "S66", "position": [3, 1], "step": 13, "ordinal_position": 14}, {"identifier": "X71", "position": [4, 1], "step": 14, "ordinal_position": 15}, {"identifier": "D01", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "E06", "position": [5, 2], "step": 16, "ordinal_position": 17}, {"identifier": "I29", "position": [5, 3], "step": 17, "ordinal_position": 18}, {"identifier": "M74", "position": [5, 4], "step": 18, "ordinal_position": 19}, {"identifier": "E66", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "C89", "position": [4, 5], "step": 20, "ordinal_position": 21}, {"identifier": "R33", "position": [3, 5], "step": 21, "ordinal_position": 22}, {"identifier": "A68", "position": [2, 5], "step": 22, "ordinal_position": 23}, {"identifier": "I25", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "W21", "position": [1, 4], "step": 24, "ordinal_position": 25}, {"identifier": "A93", "position": [1, 3], "step": 25, "ordinal_position": 26}, {"identifier": "Q97", "position": [1, 2], "step": 26, "ordinal_position": 27}, {"identifier": "X31", "position": [1, 1], "step": 27, "ordinal_position": 28}, {"identifier": "Q22", "position": [2, 1], "step": 28, "ordinal_position": 29}, {"identifier": "S66", "position": [3, 1], "step": 29, "ordinal_position": 30}, {"identifier": "X71", "position": [4, 1], "step": 30, "ordinal_position": 31}, {"identifier": "D01", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "E06", "position": [5, 2], "step": 32, "ordinal_position": 33}, {"identifier": "I29", "position": [5, 3], "step": 33, "ordinal_position": 34}, {"identifier": "M74", "position": [5, 4], "step": 34, "ordinal_position": 35}, {"identifier": "E66", "position": [5, 5], "step": 35, "ordinal_position": 36}, {"identifier": "C89", "position": [4, 5], "step": 36, "ordinal_position": 37}, {"identifier": "R33", "position": [3, 5], "step": 37, "ordinal_position": 38}, {"identifier": "A68", "position": [2, 5], "step": 38, "ordinal_position": 39}, {"identifier": "I25", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "W21", "position": [1, 4], "step": 40, "ordinal_position": 41}, {"identifier": "A93", "position": [1, 3], "step": 41, "ordinal_position": 42}, {"identifier": "Q97", "position": [1, 2], "step": 42, "ordinal_position": 43}, {"identifier": "X31", "position": [1, 1], "step": 43, "ordinal_position": 44}, {"identifier": "Q22", "position": [2, 1], "step": 44, "ordinal_position": 45}, {"identifier": "S66", "position": [3, 1], "step": 45, "ordinal_position": 46}, {"identifier": "X71", "position": [4, 1], "step": 46, "ordinal_position": 47}, {"identifier": "D01", "position": [5, 1], "step": 47, "ordinal_position": 48}, {"identifier": "E06", "position": [5, 2], "step": 48, "ordinal_position": 49}, {"identifier": "I29", "position": [5, 3], "step": 49, "ordinal_position": 50}, {"identifier": "M74", "position": [5, 4], "step": 50, "ordinal_position": 51}, {"identifier": "E66", "position": [5, 5], "step": 51, "ordinal_position": 52}, {"identifier": "C89", "position": [4, 5], "step": 52, "ordinal_position": 53}, {"identifier": "R33", "position": [3, 5], "step": 53, "ordinal_position": 54}, {"identifier": "A68", "position": [2, 5], "step": 54, "ordinal_position": 55}, {"identifier": "I25", "position": [1, 5], "step": 55, "ordinal_position": 56}, {"identifier": "W21", "position": [1, 4], "step": 56, "ordinal_position": 57}, {"identifier": "A93", "position": [1, 3], "step": 57, "ordinal_position": 58}, {"identifier": "Q97", "position": [1, 2], "step": 58, "ordinal_position": 59}, {"identifier": "X31", "position": [1, 1], "step": 59, "ordinal_position": 60}, {"identifier": "Q22", "position": [2, 1], "step": 60, "ordinal_position": 61}, {"identifier": "S66", "position": [3, 1], "step": 61, "ordinal_position": 62}, {"identifier": "X71", "position": [4, 1], "step": 62, "ordinal_position": 63}, {"identifier": "D01", "position": [5, 1], "step": 63, "ordinal_position": 64}, {"identifier": "E06", "position": [5, 2], "step": 64, "ordinal_position": 65}, {"identifier": "I29", "position": [5, 3], "step": 65, "ordinal_position": 66}, {"identifier": "M74", "position": [5, 4], "step": 66, "ordinal_position": 67}, {"identifier": "E66", "position": [5, 5], "step": 67, "ordinal_position": 68}, {"identifier": "C89", "position": [4, 5], "step": 68, "ordinal_position": 69}, {"identifier": "R33", "position": [3, 5], "step": 69, "ordinal_position": 70}, {"identifier": "A68", "position": [2, 5], "step": 70, "ordinal_position": 71}, {"identifier": "I25", "position": [1, 5], "step": 71, "ordinal_position": 72}, {"identifier": "W21", "position": [1, 4], "step": 72, "ordinal_position": 73}, {"identifier": "A93", "position": [1, 3], "step": 73, "ordinal_position": 74}, {"identifier": "Q97", "position": [1, 2], "step": 74, "ordinal_position": 75}, {"identifier": "X31", "position": [1, 1], "step": 75, "ordinal_position": 76}, {"identifier": "Q22", "position": [2, 1], "step": 76, "ordinal_position": 77}, {"identifier": "S66", "position": [3, 1], "step": 77, "ordinal_position": 78}, {"identifier": "X71", "position": [4, 1], "step": 78, "ordinal_position": 79}, {"identifier": "D01", "position": [5, 1], "step": 79, "ordinal_position": 80}, {"identifier": "E06", "position": [5, 2], "step": 80, "ordinal_position": 81}, {"identifier": "I29", "position": [5, 3], "step": 81, "ordinal_position": 82}, {"identifier": "M74", "position": [5, 4], "step": 82, "ordinal_position": 83}, {"identifier": "E66", "position": [5, 5], "step": 83, "ordinal_position": 84}, {"identifier": "C89", "position": [4, 5], "step": 84, "ordinal_position": 85}, {"identifier": "R33", "position": [3, 5], "step": 85, "ordinal_position": 86}, {"identifier": "A68", "position": [2, 5], "step": 86, "ordinal_position": 87}, {"identifier": "I25", "position": [1, 5], "step": 87, "ordinal_position": 88}, {"identifier": "W21", "position": [1, 4], "step": 88, "ordinal_position": 89}, {"identifier": "A93", "position": [1, 3], "step": 89, "ordinal_position": 90}, {"identifier": "Q97", "position": [1, 2], "step": 90, "ordinal_position": 91}, {"identifier": "X31", "position": [1, 1], "step": 91, "ordinal_position": 92}, {"identifier": "Q22", "position": [2, 1], "step": 92, "ordinal_position": 93}, {"identifier": "S66", "position": [3, 1], "step": 93, "ordinal_position": 94}, {"identifier": "X71", "position": [4, 1], "step": 94, "ordinal_position": 95}, {"identifier": "D01", "position": [5, 1], "step": 95, "ordinal_position": 96}, {"identifier": "E06", "position": [5, 2], "step": 96, "ordinal_position": 97}, {"identifier": "I29", "position": [5, 3], "step": 97, "ordinal_position": 98}, {"identifier": "M74", "position": [5, 4], "step": 98, "ordinal_position": 99}, {"identifier": "E66", "position": [5, 5], "step": 99, "ordinal_position": 100}, {"identifier": "C89", "position": [4, 5], "step": 100, "ordinal_position": 101}, {"identifier": "R33", "position": [3, 5], "step": 101, "ordinal_position": 102}, {"identifier": "A68", "position": [2, 5], "step": 102, "ordinal_position": 103}, {"identifier": "I25", "position": [1, 5], "step": 103, "ordinal_position": 104}, {"identifier": "W21", "position": [1, 4], "step": 104, "ordinal_position": 105}, {"identifier": "A93", "position": [1, 3], "step": 105, "ordinal_position": 106}, {"identifier": "Q97", "position": [1, 2], "step": 106, "ordinal_position": 107}, {"identifier": "X31", "position": [1, 1], "step": 107, "ordinal_position": 108}, {"identifier": "Q22", "position": [2, 1], "step": 108, "ordinal_position": 109}, {"identifier": "S66", "position": [3, 1], "step": 109, "ordinal_position": 110}, {"identifier": "X71", "position": [4, 1], "step": 110, "ordinal_position": 111}, {"identifier": "D01", "position": [5, 1], "step": 111, "ordinal_position": 112}, {"identifier": "E06", "position": [5, 2], "step": 112, "ordinal_position": 113}, {"identifier": "I29", "position": [5, 3], "step": 113, "ordinal_position": 114}, {"identifier": "M74", "position": [5, 4], "step": 114, "ordinal_position": 115}, {"identifier": "E66", "position": [5, 5], "step": 115, "ordinal_position": 116}, {"identifier": "C89", "position": [4, 5], "step": 116, "ordinal_position": 117}, {"identifier": "R33", "position": [3, 5], "step": 117, "ordinal_position": 118}, {"identifier": "A68", "position": [2, 5], "step": 118, "ordinal_position": 119}, {"identifier": "I25", "position": [1, 5], "step": 119, "ordinal_position": 120}, {"identifier": "W21", "position": [1, 4], "step": 120, "ordinal_position": 121}, {"identifier": "A93", "position": [1, 3], "step": 121, "ordinal_position": 122}, {"identifier": "Q97", "position": [1, 2], "step": 122, "ordinal_position": 123}, {"identifier": "X31", "position": [1, 1], "step": 123, "ordinal_position": 124}, {"identifier": "Q22", "position": [2, 1], "step": 124, "ordinal_position": 125}, {"identifier": "S66", "position": [3, 1], "step": 125, "ordinal_position": 126}, {"identifier": "X71", "position": [4, 1], "step": 126, "ordinal_position": 127}, {"identifier": "D01", "position": [5, 1], "step": 127, "ordinal_position": 128}, {"identifier": "E06", "position": [5, 2], "step": 128, "ordinal_position": 129}, {"identifier": "I29", "position": [5, 3], "step": 129, "ordinal_position": 130}, {"identifier": "M74", "position": [5, 4], "step": 130, "ordinal_position": 131}, {"identifier": "E66", "position": [5, 5], "step": 131, "ordinal_position": 132}, {"identifier": "C89", "position": [4, 5], "step": 132, "ordinal_position": 133}, {"identifier": "R33", "position": [3, 5], "step": 133, "ordinal_position": 134}, {"identifier": "A68", "position": [2, 5], "step": 134, "ordinal_position": 135}, {"identifier": "I25", "position": [1, 5], "step": 135, "ordinal_position": 136}, {"identifier": "W21", "position": [1, 4], "step": 136, "ordinal_position": 137}, {"identifier": "A93", "position": [1, 3], "step": 137, "ordinal_position": 138}, {"identifier": "Q97", "position": [1, 2], "step": 138, "ordinal_position": 139}, {"identifier": "X31", "position": [1, 1], "step": 139, "ordinal_position": 140}, {"identifier": "Q22", "position": [2, 1], "step": 140, "ordinal_position": 141}, {"identifier": "S66", "position": [3, 1], "step": 141, "ordinal_position": 142}, {"identifier": "X71", "position": [4, 1], "step": 142, "ordinal_position": 143}, {"identifier": "D01", "position": [5, 1], "step": 143, "ordinal_position": 144}, {"identifier": "E06", "position": [5, 2], "step": 144, "ordinal_position": 145}, {"identifier": "I29", "position": [5, 3], "step": 145, "ordinal_position": 146}, {"identifier": "M74", "position": [5, 4], "step": 146, "ordinal_position": 147}, {"identifier": "E66", "position": [5, 5], "step": 147, "ordinal_position": 148}, {"identifier": "C89", "position": [4, 5], "step": 148, "ordinal_position": 149}, {"identifier": "R33", "position": [3, 5], "step": 149, "ordinal_position": 150}, {"identifier": "A68", "position": [2, 5], "step": 150, "ordinal_position": 151}, {"identifier": "I25", "position": [1, 5], "step": 151, "ordinal_position": 152}, {"identifier": "W21", "position": [1, 4], "step": 152, "ordinal_position": 153}, {"identifier": "A93", "position": [1, 3], "step": 153, "ordinal_position": 154}, {"identifier": "Q97", "position": [1, 2], "step": 154, "ordinal_position": 155}, {"identifier": "X31", "position": [1, 1], "step": 155, "ordinal_position": 156}, {"identifier": "Q22", "position": [2, 1], "step": 156, "ordinal_position": 157}, {"identifier": "S66", "position": [3, 1], "step": 157, "ordinal_position": 158}, {"identifier": "X71", "position": [4, 1], "step": 158, "ordinal_position": 159}, {"identifier": "D01", "position": [5, 1], "step": 159, "ordinal_position": 160}, {"identifier": "E06", "position": [5, 2], "step": 160, "ordinal_position": 161}, {"identifier": "I29", "position": [5, 3], "step": 161, "ordinal_position": 162}, {"identifier": "M74", "position": [5, 4], "step": 162, "ordinal_position": 163}, {"identifier": "E66", "position": [5, 5], "step": 163, "ordinal_position": 164}, {"identifier": "C89", "position": [4, 5], "step": 164, "ordinal_position": 165}, {"identifier": "R33", "position": [3, 5], "step": 165, "ordinal_position": 166}, {"identifier": "A68", "position": [2, 5], "step": 166, "ordinal_position": 167}, {"identifier": "I25", "position": [1, 5], "step": 167, "ordinal_position": 168}, {"identifier": "W21", "position": [1, 4], "step": 168, "ordinal_position": 169}, {"identifier": "A93", "position": [1, 3], "step": 169, "ordinal_position": 170}, {"identifier": "Q97", "position": [1, 2], "step": 170, "ordinal_position": 171}, {"identifier": "X31", "position": [1, 1], "step": 171, "ordinal_position": 172}, {"identifier": "Q22", "position": [2, 1], "step": 172, "ordinal_position": 173}, {"identifier": "S66", "position": [3, 1], "step": 173, "ordinal_position": 174}, {"identifier": "X71", "position": [4, 1], "step": 174, "ordinal_position": 175}, {"identifier": "D01", "position": [5, 1], "step": 175, "ordinal_position": 176}, {"identifier": "E06", "position": [5, 2], "step": 176, "ordinal_position": 177}, {"identifier": "I29", "position": [5, 3], "step": 177, "ordinal_position": 178}, {"identifier": "M74", "position": [5, 4], "step": 178, "ordinal_position": 179}, {"identifier": "E66", "position": [5, 5], "step": 179, "ordinal_position": 180}, {"identifier": "C89", "position": [4, 5], "step": 180, "ordinal_position": 181}, {"identifier": "R33", "position": [3, 5], "step": 181, "ordinal_position": 182}, {"identifier": "A68", "position": [2, 5], "step": 182, "ordinal_position": 183}, {"identifier": "I25", "position": [1, 5], "step": 183, "ordinal_position": 184}, {"identifier": "W21", "position": [1, 4], "step": 184, "ordinal_position": 185}, {"identifier": "A93", "position": [1, 3], "step": 185, "ordinal_position": 186}, {"identifier": "Q97", "position": [1, 2], "step": 186, "ordinal_position": 187}, {"identifier": "X31", "position": [1, 1], "step": 187, "ordinal_position": 188}, {"identifier": "Q22", "position": [2, 1], "step": 188, "ordinal_position": 189}, {"identifier": "S66", "position": [3, 1], "step": 189, "ordinal_position": 190}, {"identifier": "X71", "position": [4, 1], "step": 190, "ordinal_position": 191}, {"identifier": "D01", "position": [5, 1], "step": 191, "ordinal_position": 192}, {"identifier": "E06", "position": [5, 2], "step": 192, "ordinal_position": 193}, {"identifier": "I29", "position": [5, 3], "step": 193, "ordinal_position": 194}, {"identifier": "M74", "position": [5, 4], "step": 194, "ordinal_position": 195}, {"identifier": "E66", "position": [5, 5], "step": 195, "ordinal_position": 196}, {"identifier": "C89", "position": [4, 5], "step": 196, "ordinal_position": 197}, {"identifier": "R33", "position": [3, 5], "step": 197, "ordinal_position": 198}, {"identifier": "A68", "position": [2, 5], "step": 198, "ordinal_position": 199}, {"identifier": "I25", "position": [1, 5], "step": 199, "ordinal_position": 200}, {"identifier": "W21", "position": [1, 4], "step": 200, "ordinal_position": 201}, {"identifier": "A93", "position": [1, 3], "step": 201, "ordinal_position": 202}, {"identifier": "Q97", "position": [1, 2], "step": 202, "ordinal_position": 203}, {"identifier": "X31", "position": [1, 1], "step": 203, "ordinal_position": 204}, {"identifier": "Q22", "position": [2, 1], "step": 204, "ordinal_position": 205}, {"identifier": "S66", "position": [3, 1], "step": 205, "ordinal_position": 206}, {"identifier": "X71", "position": [4, 1], "step": 206, "ordinal_position": 207}, {"identifier": "D01", "position": [5, 1], "step": 207, "ordinal_position": 208}, {"identifier": "E06", "position": [5, 2], "step": 208, "ordinal_position": 209}, {"identifier": "I29", "position": [5, 3], "step": 209, "ordinal_position": 210}, {"identifier": "M74", "position": [5, 4], "step": 210, "ordinal_position": 211}, {"identifier": "E66", "position": [5, 5], "step": 211, "ordinal_position": 212}, {"identifier": "C89", "position": [4, 5], "step": 212, "ordinal_position": 213}, {"identifier": "R33", "position": [3, 5], "step": 213, "ordinal_position": 214}, {"identifier": "A68", "position": [2, 5], "step": 214, "ordinal_position": 215}, {"identifier": "I25", "position": [1, 5], "step": 215, "ordinal_position": 216}, {"identifier": "W21", "position": [1, 4], "step": 216, "ordinal_position": 217}, {"identifier": "A93", "position": [1, 3], "step": 217, "ordinal_position": 218}, {"identifier": "Q97", "position": [1, 2], "step": 218, "ordinal_position": 219}, {"identifier": "X31", "position": [1, 1], "step": 219, "ordinal_position": 220}, {"identifier": "Q22", "position": [2, 1], "step": 220, "ordinal_position": 221}, {"identifier": "S66", "position": [3, 1], "step": 221, "ordinal_position": 222}, {"identifier": "X71", "position": [4, 1], "step": 222, "ordinal_position": 223}, {"identifier": "D01", "position": [5, 1], "step": 223, "ordinal_position": 224}, {"identifier": "E06", "position": [5, 2], "step": 224, "ordinal_position": 225}, {"identifier": "I29", "position": [5, 3], "step": 225, "ordinal_position": 226}, {"identifier": "M74", "position": [5, 4], "step": 226, "ordinal_position": 227}, {"identifier": "E66", "position": [5, 5], "step": 227, "ordinal_position": 228}, {"identifier": "C89", "position": [4, 5], "step": 228, "ordinal_position": 229}, {"identifier": "R33", "position": [3, 5], "step": 229, "ordinal_position": 230}, {"identifier": "A68", "position": [2, 5], "step": 230, "ordinal_position": 231}, {"identifier": "I25", "position": [1, 5], "step": 231, "ordinal_position": 232}, {"identifier": "W21", "position": [1, 4], "step": 232, "ordinal_position": 233}, {"identifier": "A93", "position": [1, 3], "step": 233, "ordinal_position": 234}, {"identifier": "Q97", "position": [1, 2], "step": 234, "ordinal_position": 235}, {"identifier": "X31", "position": [1, 1], "step": 235, "ordinal_position": 236}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 236, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_019.json"}} {"qa_id": "5302f81fd6904d1ba479d0893264dee9", "image_id": "L3-MazeLoop-test_7x7_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A68, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 135th position in this traversal?", "start_object_id": "A68", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [135], "ordinal_strings": ["135th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "Q22", "traversal_path": [{"identifier": "A68", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "I25", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "W21", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "A93", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "Q97", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "X31", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Q22", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "S66", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "X71", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "D01", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "E06", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "I29", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "M74", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "E66", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "C89", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "R33", "position": [3, 5], "step": 15, "ordinal_position": 16}, {"identifier": "A68", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "I25", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "W21", "position": [1, 4], "step": 18, "ordinal_position": 19}, {"identifier": "A93", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "Q97", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "X31", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Q22", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "S66", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "X71", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "D01", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "E06", "position": [5, 2], "step": 26, "ordinal_position": 27}, {"identifier": "I29", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "M74", "position": [5, 4], "step": 28, "ordinal_position": 29}, {"identifier": "E66", "position": [5, 5], "step": 29, "ordinal_position": 30}, {"identifier": "C89", "position": [4, 5], "step": 30, "ordinal_position": 31}, {"identifier": "R33", "position": [3, 5], "step": 31, "ordinal_position": 32}, {"identifier": "A68", "position": [2, 5], "step": 32, "ordinal_position": 33}, {"identifier": "I25", "position": [1, 5], "step": 33, "ordinal_position": 34}, {"identifier": "W21", "position": [1, 4], "step": 34, "ordinal_position": 35}, {"identifier": "A93", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "Q97", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "X31", "position": [1, 1], "step": 37, "ordinal_position": 38}, {"identifier": "Q22", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "S66", "position": [3, 1], "step": 39, "ordinal_position": 40}, {"identifier": "X71", "position": [4, 1], "step": 40, "ordinal_position": 41}, {"identifier": "D01", "position": [5, 1], "step": 41, "ordinal_position": 42}, {"identifier": "E06", "position": [5, 2], "step": 42, "ordinal_position": 43}, {"identifier": "I29", "position": [5, 3], "step": 43, "ordinal_position": 44}, {"identifier": "M74", "position": [5, 4], "step": 44, "ordinal_position": 45}, {"identifier": "E66", "position": [5, 5], "step": 45, "ordinal_position": 46}, {"identifier": "C89", "position": [4, 5], "step": 46, "ordinal_position": 47}, {"identifier": "R33", "position": [3, 5], "step": 47, "ordinal_position": 48}, {"identifier": "A68", "position": [2, 5], "step": 48, "ordinal_position": 49}, {"identifier": "I25", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "W21", "position": [1, 4], "step": 50, "ordinal_position": 51}, {"identifier": "A93", "position": [1, 3], "step": 51, "ordinal_position": 52}, {"identifier": "Q97", "position": [1, 2], "step": 52, "ordinal_position": 53}, {"identifier": "X31", "position": [1, 1], "step": 53, "ordinal_position": 54}, {"identifier": "Q22", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "S66", "position": [3, 1], "step": 55, "ordinal_position": 56}, {"identifier": "X71", "position": [4, 1], "step": 56, "ordinal_position": 57}, {"identifier": "D01", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "E06", "position": [5, 2], "step": 58, "ordinal_position": 59}, {"identifier": "I29", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "M74", "position": [5, 4], "step": 60, "ordinal_position": 61}, {"identifier": "E66", "position": [5, 5], "step": 61, "ordinal_position": 62}, {"identifier": "C89", "position": [4, 5], "step": 62, "ordinal_position": 63}, {"identifier": "R33", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "A68", "position": [2, 5], "step": 64, "ordinal_position": 65}, {"identifier": "I25", "position": [1, 5], "step": 65, "ordinal_position": 66}, {"identifier": "W21", "position": [1, 4], "step": 66, "ordinal_position": 67}, {"identifier": "A93", "position": [1, 3], "step": 67, "ordinal_position": 68}, {"identifier": "Q97", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "X31", "position": [1, 1], "step": 69, "ordinal_position": 70}, {"identifier": "Q22", "position": [2, 1], "step": 70, "ordinal_position": 71}, {"identifier": "S66", "position": [3, 1], "step": 71, "ordinal_position": 72}, {"identifier": "X71", "position": [4, 1], "step": 72, "ordinal_position": 73}, {"identifier": "D01", "position": [5, 1], "step": 73, "ordinal_position": 74}, {"identifier": "E06", "position": [5, 2], "step": 74, "ordinal_position": 75}, {"identifier": "I29", "position": [5, 3], "step": 75, "ordinal_position": 76}, {"identifier": "M74", "position": [5, 4], "step": 76, "ordinal_position": 77}, {"identifier": "E66", "position": [5, 5], "step": 77, "ordinal_position": 78}, {"identifier": "C89", "position": [4, 5], "step": 78, "ordinal_position": 79}, {"identifier": "R33", "position": [3, 5], "step": 79, "ordinal_position": 80}, {"identifier": "A68", "position": [2, 5], "step": 80, "ordinal_position": 81}, {"identifier": "I25", "position": [1, 5], "step": 81, "ordinal_position": 82}, {"identifier": "W21", "position": [1, 4], "step": 82, "ordinal_position": 83}, {"identifier": "A93", "position": [1, 3], "step": 83, "ordinal_position": 84}, {"identifier": "Q97", "position": [1, 2], "step": 84, "ordinal_position": 85}, {"identifier": "X31", "position": [1, 1], "step": 85, "ordinal_position": 86}, {"identifier": "Q22", "position": [2, 1], "step": 86, "ordinal_position": 87}, {"identifier": "S66", "position": [3, 1], "step": 87, "ordinal_position": 88}, {"identifier": "X71", "position": [4, 1], "step": 88, "ordinal_position": 89}, {"identifier": "D01", "position": [5, 1], "step": 89, "ordinal_position": 90}, {"identifier": "E06", "position": [5, 2], "step": 90, "ordinal_position": 91}, {"identifier": "I29", "position": [5, 3], "step": 91, "ordinal_position": 92}, {"identifier": "M74", "position": [5, 4], "step": 92, "ordinal_position": 93}, {"identifier": "E66", "position": [5, 5], "step": 93, "ordinal_position": 94}, {"identifier": "C89", "position": [4, 5], "step": 94, "ordinal_position": 95}, {"identifier": "R33", "position": [3, 5], "step": 95, "ordinal_position": 96}, {"identifier": "A68", "position": [2, 5], "step": 96, "ordinal_position": 97}, {"identifier": "I25", "position": [1, 5], "step": 97, "ordinal_position": 98}, {"identifier": "W21", "position": [1, 4], "step": 98, "ordinal_position": 99}, {"identifier": "A93", "position": [1, 3], "step": 99, "ordinal_position": 100}, {"identifier": "Q97", "position": [1, 2], "step": 100, "ordinal_position": 101}, {"identifier": "X31", "position": [1, 1], "step": 101, "ordinal_position": 102}, {"identifier": "Q22", "position": [2, 1], "step": 102, "ordinal_position": 103}, {"identifier": "S66", "position": [3, 1], "step": 103, "ordinal_position": 104}, {"identifier": "X71", "position": [4, 1], "step": 104, "ordinal_position": 105}, {"identifier": "D01", "position": [5, 1], "step": 105, "ordinal_position": 106}, {"identifier": "E06", "position": [5, 2], "step": 106, "ordinal_position": 107}, {"identifier": "I29", "position": [5, 3], "step": 107, "ordinal_position": 108}, {"identifier": "M74", "position": [5, 4], "step": 108, "ordinal_position": 109}, {"identifier": "E66", "position": [5, 5], "step": 109, "ordinal_position": 110}, {"identifier": "C89", "position": [4, 5], "step": 110, "ordinal_position": 111}, {"identifier": "R33", "position": [3, 5], "step": 111, "ordinal_position": 112}, {"identifier": "A68", "position": [2, 5], "step": 112, "ordinal_position": 113}, {"identifier": "I25", "position": [1, 5], "step": 113, "ordinal_position": 114}, {"identifier": "W21", "position": [1, 4], "step": 114, "ordinal_position": 115}, {"identifier": "A93", "position": [1, 3], "step": 115, "ordinal_position": 116}, {"identifier": "Q97", "position": [1, 2], "step": 116, "ordinal_position": 117}, {"identifier": "X31", "position": [1, 1], "step": 117, "ordinal_position": 118}, {"identifier": "Q22", "position": [2, 1], "step": 118, "ordinal_position": 119}, {"identifier": "S66", "position": [3, 1], "step": 119, "ordinal_position": 120}, {"identifier": "X71", "position": [4, 1], "step": 120, "ordinal_position": 121}, {"identifier": "D01", "position": [5, 1], "step": 121, "ordinal_position": 122}, {"identifier": "E06", "position": [5, 2], "step": 122, "ordinal_position": 123}, {"identifier": "I29", "position": [5, 3], "step": 123, "ordinal_position": 124}, {"identifier": "M74", "position": [5, 4], "step": 124, "ordinal_position": 125}, {"identifier": "E66", "position": [5, 5], "step": 125, "ordinal_position": 126}, {"identifier": "C89", "position": [4, 5], "step": 126, "ordinal_position": 127}, {"identifier": "R33", "position": [3, 5], "step": 127, "ordinal_position": 128}, {"identifier": "A68", "position": [2, 5], "step": 128, "ordinal_position": 129}, {"identifier": "I25", "position": [1, 5], "step": 129, "ordinal_position": 130}, {"identifier": "W21", "position": [1, 4], "step": 130, "ordinal_position": 131}, {"identifier": "A93", "position": [1, 3], "step": 131, "ordinal_position": 132}, {"identifier": "Q97", "position": [1, 2], "step": 132, "ordinal_position": 133}, {"identifier": "X31", "position": [1, 1], "step": 133, "ordinal_position": 134}, {"identifier": "Q22", "position": [2, 1], "step": 134, "ordinal_position": 135}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 135, "direction": "left", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_019.json"}} {"qa_id": "1fce2193f1384477a3e3abac5869a399", "image_id": "L3-MazeLoop-test_7x7_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M74, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 102nd position in this traversal?", "start_object_id": "M74", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [102], "ordinal_strings": ["102nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "S66", "traversal_path": [{"identifier": "M74", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "I29", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "E06", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "D01", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "X71", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "S66", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Q22", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "X31", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "Q97", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "A93", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "W21", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "I25", "position": [1, 5], "step": 11, "ordinal_position": 12}, {"identifier": "A68", "position": [2, 5], "step": 12, "ordinal_position": 13}, {"identifier": "R33", "position": [3, 5], "step": 13, "ordinal_position": 14}, {"identifier": "C89", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "E66", "position": [5, 5], "step": 15, "ordinal_position": 16}, {"identifier": "M74", "position": [5, 4], "step": 16, "ordinal_position": 17}, {"identifier": "I29", "position": [5, 3], "step": 17, "ordinal_position": 18}, {"identifier": "E06", "position": [5, 2], "step": 18, "ordinal_position": 19}, {"identifier": "D01", "position": [5, 1], "step": 19, "ordinal_position": 20}, {"identifier": "X71", "position": [4, 1], "step": 20, "ordinal_position": 21}, {"identifier": "S66", "position": [3, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Q22", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "X31", "position": [1, 1], "step": 23, "ordinal_position": 24}, {"identifier": "Q97", "position": [1, 2], "step": 24, "ordinal_position": 25}, {"identifier": "A93", "position": [1, 3], "step": 25, "ordinal_position": 26}, {"identifier": "W21", "position": [1, 4], "step": 26, "ordinal_position": 27}, {"identifier": "I25", "position": [1, 5], "step": 27, "ordinal_position": 28}, {"identifier": "A68", "position": [2, 5], "step": 28, "ordinal_position": 29}, {"identifier": "R33", "position": [3, 5], "step": 29, "ordinal_position": 30}, {"identifier": "C89", "position": [4, 5], "step": 30, "ordinal_position": 31}, {"identifier": "E66", "position": [5, 5], "step": 31, "ordinal_position": 32}, {"identifier": "M74", "position": [5, 4], "step": 32, "ordinal_position": 33}, {"identifier": "I29", "position": [5, 3], "step": 33, "ordinal_position": 34}, {"identifier": "E06", "position": [5, 2], "step": 34, "ordinal_position": 35}, {"identifier": "D01", "position": [5, 1], "step": 35, "ordinal_position": 36}, {"identifier": "X71", "position": [4, 1], "step": 36, "ordinal_position": 37}, {"identifier": "S66", "position": [3, 1], "step": 37, "ordinal_position": 38}, {"identifier": "Q22", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "X31", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "Q97", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "A93", "position": [1, 3], "step": 41, "ordinal_position": 42}, {"identifier": "W21", "position": [1, 4], "step": 42, "ordinal_position": 43}, {"identifier": "I25", "position": [1, 5], "step": 43, "ordinal_position": 44}, {"identifier": "A68", "position": [2, 5], "step": 44, "ordinal_position": 45}, {"identifier": "R33", "position": [3, 5], "step": 45, "ordinal_position": 46}, {"identifier": "C89", "position": [4, 5], "step": 46, "ordinal_position": 47}, {"identifier": "E66", "position": [5, 5], "step": 47, "ordinal_position": 48}, {"identifier": "M74", "position": [5, 4], "step": 48, "ordinal_position": 49}, {"identifier": "I29", "position": [5, 3], "step": 49, "ordinal_position": 50}, {"identifier": "E06", "position": [5, 2], "step": 50, "ordinal_position": 51}, {"identifier": "D01", "position": [5, 1], "step": 51, "ordinal_position": 52}, {"identifier": "X71", "position": [4, 1], "step": 52, "ordinal_position": 53}, {"identifier": "S66", "position": [3, 1], "step": 53, "ordinal_position": 54}, {"identifier": "Q22", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "X31", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "Q97", "position": [1, 2], "step": 56, "ordinal_position": 57}, {"identifier": "A93", "position": [1, 3], "step": 57, "ordinal_position": 58}, {"identifier": "W21", "position": [1, 4], "step": 58, "ordinal_position": 59}, {"identifier": "I25", "position": [1, 5], "step": 59, "ordinal_position": 60}, {"identifier": "A68", "position": [2, 5], "step": 60, "ordinal_position": 61}, {"identifier": "R33", "position": [3, 5], "step": 61, "ordinal_position": 62}, {"identifier": "C89", "position": [4, 5], "step": 62, "ordinal_position": 63}, {"identifier": "E66", "position": [5, 5], "step": 63, "ordinal_position": 64}, {"identifier": "M74", "position": [5, 4], "step": 64, "ordinal_position": 65}, {"identifier": "I29", "position": [5, 3], "step": 65, "ordinal_position": 66}, {"identifier": "E06", "position": [5, 2], "step": 66, "ordinal_position": 67}, {"identifier": "D01", "position": [5, 1], "step": 67, "ordinal_position": 68}, {"identifier": "X71", "position": [4, 1], "step": 68, "ordinal_position": 69}, {"identifier": "S66", "position": [3, 1], "step": 69, "ordinal_position": 70}, {"identifier": "Q22", "position": [2, 1], "step": 70, "ordinal_position": 71}, {"identifier": "X31", "position": [1, 1], "step": 71, "ordinal_position": 72}, {"identifier": "Q97", "position": [1, 2], "step": 72, "ordinal_position": 73}, {"identifier": "A93", "position": [1, 3], "step": 73, "ordinal_position": 74}, {"identifier": "W21", "position": [1, 4], "step": 74, "ordinal_position": 75}, {"identifier": "I25", "position": [1, 5], "step": 75, "ordinal_position": 76}, {"identifier": "A68", "position": [2, 5], "step": 76, "ordinal_position": 77}, {"identifier": "R33", "position": [3, 5], "step": 77, "ordinal_position": 78}, {"identifier": "C89", "position": [4, 5], "step": 78, "ordinal_position": 79}, {"identifier": "E66", "position": [5, 5], "step": 79, "ordinal_position": 80}, {"identifier": "M74", "position": [5, 4], "step": 80, "ordinal_position": 81}, {"identifier": "I29", "position": [5, 3], "step": 81, "ordinal_position": 82}, {"identifier": "E06", "position": [5, 2], "step": 82, "ordinal_position": 83}, {"identifier": "D01", "position": [5, 1], "step": 83, "ordinal_position": 84}, {"identifier": "X71", "position": [4, 1], "step": 84, "ordinal_position": 85}, {"identifier": "S66", "position": [3, 1], "step": 85, "ordinal_position": 86}, {"identifier": "Q22", "position": [2, 1], "step": 86, "ordinal_position": 87}, {"identifier": "X31", "position": [1, 1], "step": 87, "ordinal_position": 88}, {"identifier": "Q97", "position": [1, 2], "step": 88, "ordinal_position": 89}, {"identifier": "A93", "position": [1, 3], "step": 89, "ordinal_position": 90}, {"identifier": "W21", "position": [1, 4], "step": 90, "ordinal_position": 91}, {"identifier": "I25", "position": [1, 5], "step": 91, "ordinal_position": 92}, {"identifier": "A68", "position": [2, 5], "step": 92, "ordinal_position": 93}, {"identifier": "R33", "position": [3, 5], "step": 93, "ordinal_position": 94}, {"identifier": "C89", "position": [4, 5], "step": 94, "ordinal_position": 95}, {"identifier": "E66", "position": [5, 5], "step": 95, "ordinal_position": 96}, {"identifier": "M74", "position": [5, 4], "step": 96, "ordinal_position": 97}, {"identifier": "I29", "position": [5, 3], "step": 97, "ordinal_position": 98}, {"identifier": "E06", "position": [5, 2], "step": 98, "ordinal_position": 99}, {"identifier": "D01", "position": [5, 1], "step": 99, "ordinal_position": 100}, {"identifier": "X71", "position": [4, 1], "step": 100, "ordinal_position": 101}, {"identifier": "S66", "position": [3, 1], "step": 101, "ordinal_position": 102}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 102, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_019.json"}} {"qa_id": "a2c9d2ada88e4f26b3cc828e59161501", "image_id": "L3-MazeLoop-test_7x7_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W21, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 196th position in this traversal?", "start_object_id": "W21", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [196], "ordinal_strings": ["196th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "R33", "traversal_path": [{"identifier": "W21", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "I25", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "A68", "position": [2, 5], "step": 2, "ordinal_position": 3}, {"identifier": "R33", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "C89", "position": [4, 5], "step": 4, "ordinal_position": 5}, {"identifier": "E66", "position": [5, 5], "step": 5, "ordinal_position": 6}, {"identifier": "M74", "position": [5, 4], "step": 6, "ordinal_position": 7}, {"identifier": "I29", "position": [5, 3], "step": 7, "ordinal_position": 8}, {"identifier": "E06", "position": [5, 2], "step": 8, "ordinal_position": 9}, {"identifier": "D01", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "X71", "position": [4, 1], "step": 10, "ordinal_position": 11}, {"identifier": "S66", "position": [3, 1], "step": 11, "ordinal_position": 12}, {"identifier": "Q22", "position": [2, 1], "step": 12, "ordinal_position": 13}, {"identifier": "X31", "position": [1, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Q97", "position": [1, 2], "step": 14, "ordinal_position": 15}, {"identifier": "A93", "position": [1, 3], "step": 15, "ordinal_position": 16}, {"identifier": "W21", "position": [1, 4], "step": 16, "ordinal_position": 17}, {"identifier": "I25", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "A68", "position": [2, 5], "step": 18, "ordinal_position": 19}, {"identifier": "R33", "position": [3, 5], "step": 19, "ordinal_position": 20}, {"identifier": "C89", "position": [4, 5], "step": 20, "ordinal_position": 21}, {"identifier": "E66", "position": [5, 5], "step": 21, "ordinal_position": 22}, {"identifier": "M74", "position": [5, 4], "step": 22, "ordinal_position": 23}, {"identifier": "I29", "position": [5, 3], "step": 23, "ordinal_position": 24}, {"identifier": "E06", "position": [5, 2], "step": 24, "ordinal_position": 25}, {"identifier": "D01", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "X71", "position": [4, 1], "step": 26, "ordinal_position": 27}, {"identifier": "S66", "position": [3, 1], "step": 27, "ordinal_position": 28}, {"identifier": "Q22", "position": [2, 1], "step": 28, "ordinal_position": 29}, {"identifier": "X31", "position": [1, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Q97", "position": [1, 2], "step": 30, "ordinal_position": 31}, {"identifier": "A93", "position": [1, 3], "step": 31, "ordinal_position": 32}, {"identifier": "W21", "position": [1, 4], "step": 32, "ordinal_position": 33}, {"identifier": "I25", "position": [1, 5], "step": 33, "ordinal_position": 34}, {"identifier": "A68", "position": [2, 5], "step": 34, "ordinal_position": 35}, {"identifier": "R33", "position": [3, 5], "step": 35, "ordinal_position": 36}, {"identifier": "C89", "position": [4, 5], "step": 36, "ordinal_position": 37}, {"identifier": "E66", "position": [5, 5], "step": 37, "ordinal_position": 38}, {"identifier": "M74", "position": [5, 4], "step": 38, "ordinal_position": 39}, {"identifier": "I29", "position": [5, 3], "step": 39, "ordinal_position": 40}, {"identifier": "E06", "position": [5, 2], "step": 40, "ordinal_position": 41}, {"identifier": "D01", "position": [5, 1], "step": 41, "ordinal_position": 42}, {"identifier": "X71", "position": [4, 1], "step": 42, "ordinal_position": 43}, {"identifier": "S66", "position": [3, 1], "step": 43, "ordinal_position": 44}, {"identifier": "Q22", "position": [2, 1], "step": 44, "ordinal_position": 45}, {"identifier": "X31", "position": [1, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Q97", "position": [1, 2], "step": 46, "ordinal_position": 47}, {"identifier": "A93", "position": [1, 3], "step": 47, "ordinal_position": 48}, {"identifier": "W21", "position": [1, 4], "step": 48, "ordinal_position": 49}, {"identifier": "I25", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "A68", "position": [2, 5], "step": 50, "ordinal_position": 51}, {"identifier": "R33", "position": [3, 5], "step": 51, "ordinal_position": 52}, {"identifier": "C89", "position": [4, 5], "step": 52, "ordinal_position": 53}, {"identifier": "E66", "position": [5, 5], "step": 53, "ordinal_position": 54}, {"identifier": "M74", "position": [5, 4], "step": 54, "ordinal_position": 55}, {"identifier": "I29", "position": [5, 3], "step": 55, "ordinal_position": 56}, {"identifier": "E06", "position": [5, 2], "step": 56, "ordinal_position": 57}, {"identifier": "D01", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "X71", "position": [4, 1], "step": 58, "ordinal_position": 59}, {"identifier": "S66", "position": [3, 1], "step": 59, "ordinal_position": 60}, {"identifier": "Q22", "position": [2, 1], "step": 60, "ordinal_position": 61}, {"identifier": "X31", "position": [1, 1], "step": 61, "ordinal_position": 62}, {"identifier": "Q97", "position": [1, 2], "step": 62, "ordinal_position": 63}, {"identifier": "A93", "position": [1, 3], "step": 63, "ordinal_position": 64}, {"identifier": "W21", "position": [1, 4], "step": 64, "ordinal_position": 65}, {"identifier": "I25", "position": [1, 5], "step": 65, "ordinal_position": 66}, {"identifier": "A68", "position": [2, 5], "step": 66, "ordinal_position": 67}, {"identifier": "R33", "position": [3, 5], "step": 67, "ordinal_position": 68}, {"identifier": "C89", "position": [4, 5], "step": 68, "ordinal_position": 69}, {"identifier": "E66", "position": [5, 5], "step": 69, "ordinal_position": 70}, {"identifier": "M74", "position": [5, 4], "step": 70, "ordinal_position": 71}, {"identifier": "I29", "position": [5, 3], "step": 71, "ordinal_position": 72}, {"identifier": "E06", "position": [5, 2], "step": 72, "ordinal_position": 73}, {"identifier": "D01", "position": [5, 1], "step": 73, "ordinal_position": 74}, {"identifier": "X71", "position": [4, 1], "step": 74, "ordinal_position": 75}, {"identifier": "S66", "position": [3, 1], "step": 75, "ordinal_position": 76}, {"identifier": "Q22", "position": [2, 1], "step": 76, "ordinal_position": 77}, {"identifier": "X31", "position": [1, 1], "step": 77, "ordinal_position": 78}, {"identifier": "Q97", "position": [1, 2], "step": 78, "ordinal_position": 79}, {"identifier": "A93", "position": [1, 3], "step": 79, "ordinal_position": 80}, {"identifier": "W21", "position": [1, 4], "step": 80, "ordinal_position": 81}, {"identifier": "I25", "position": [1, 5], "step": 81, "ordinal_position": 82}, {"identifier": "A68", "position": [2, 5], "step": 82, "ordinal_position": 83}, {"identifier": "R33", "position": [3, 5], "step": 83, "ordinal_position": 84}, {"identifier": "C89", "position": [4, 5], "step": 84, "ordinal_position": 85}, {"identifier": "E66", "position": [5, 5], "step": 85, "ordinal_position": 86}, {"identifier": "M74", "position": [5, 4], "step": 86, "ordinal_position": 87}, {"identifier": "I29", "position": [5, 3], "step": 87, "ordinal_position": 88}, {"identifier": "E06", "position": [5, 2], "step": 88, "ordinal_position": 89}, {"identifier": "D01", "position": [5, 1], "step": 89, "ordinal_position": 90}, {"identifier": "X71", "position": [4, 1], "step": 90, "ordinal_position": 91}, {"identifier": "S66", "position": [3, 1], "step": 91, "ordinal_position": 92}, {"identifier": "Q22", "position": [2, 1], "step": 92, "ordinal_position": 93}, {"identifier": "X31", "position": [1, 1], "step": 93, "ordinal_position": 94}, {"identifier": "Q97", "position": [1, 2], "step": 94, "ordinal_position": 95}, {"identifier": "A93", "position": [1, 3], "step": 95, "ordinal_position": 96}, {"identifier": "W21", "position": [1, 4], "step": 96, "ordinal_position": 97}, {"identifier": "I25", "position": [1, 5], "step": 97, "ordinal_position": 98}, {"identifier": "A68", "position": [2, 5], "step": 98, "ordinal_position": 99}, {"identifier": "R33", "position": [3, 5], "step": 99, "ordinal_position": 100}, {"identifier": "C89", "position": [4, 5], "step": 100, "ordinal_position": 101}, {"identifier": "E66", "position": [5, 5], "step": 101, "ordinal_position": 102}, {"identifier": "M74", "position": [5, 4], "step": 102, "ordinal_position": 103}, {"identifier": "I29", "position": [5, 3], "step": 103, "ordinal_position": 104}, {"identifier": "E06", "position": [5, 2], "step": 104, "ordinal_position": 105}, {"identifier": "D01", "position": [5, 1], "step": 105, "ordinal_position": 106}, {"identifier": "X71", "position": [4, 1], "step": 106, "ordinal_position": 107}, {"identifier": "S66", "position": [3, 1], "step": 107, "ordinal_position": 108}, {"identifier": "Q22", "position": [2, 1], "step": 108, "ordinal_position": 109}, {"identifier": "X31", "position": [1, 1], "step": 109, "ordinal_position": 110}, {"identifier": "Q97", "position": [1, 2], "step": 110, "ordinal_position": 111}, {"identifier": "A93", "position": [1, 3], "step": 111, "ordinal_position": 112}, {"identifier": "W21", "position": [1, 4], "step": 112, "ordinal_position": 113}, {"identifier": "I25", "position": [1, 5], "step": 113, "ordinal_position": 114}, {"identifier": "A68", "position": [2, 5], "step": 114, "ordinal_position": 115}, {"identifier": "R33", "position": [3, 5], "step": 115, "ordinal_position": 116}, {"identifier": "C89", "position": [4, 5], "step": 116, "ordinal_position": 117}, {"identifier": "E66", "position": [5, 5], "step": 117, "ordinal_position": 118}, {"identifier": "M74", "position": [5, 4], "step": 118, "ordinal_position": 119}, {"identifier": "I29", "position": [5, 3], "step": 119, "ordinal_position": 120}, {"identifier": "E06", "position": [5, 2], "step": 120, "ordinal_position": 121}, {"identifier": "D01", "position": [5, 1], "step": 121, "ordinal_position": 122}, {"identifier": "X71", "position": [4, 1], "step": 122, "ordinal_position": 123}, {"identifier": "S66", "position": [3, 1], "step": 123, "ordinal_position": 124}, {"identifier": "Q22", "position": [2, 1], "step": 124, "ordinal_position": 125}, {"identifier": "X31", "position": [1, 1], "step": 125, "ordinal_position": 126}, {"identifier": "Q97", "position": [1, 2], "step": 126, "ordinal_position": 127}, {"identifier": "A93", "position": [1, 3], "step": 127, "ordinal_position": 128}, {"identifier": "W21", "position": [1, 4], "step": 128, "ordinal_position": 129}, {"identifier": "I25", "position": [1, 5], "step": 129, "ordinal_position": 130}, {"identifier": "A68", "position": [2, 5], "step": 130, "ordinal_position": 131}, {"identifier": "R33", "position": [3, 5], "step": 131, "ordinal_position": 132}, {"identifier": "C89", "position": [4, 5], "step": 132, "ordinal_position": 133}, {"identifier": "E66", "position": [5, 5], "step": 133, "ordinal_position": 134}, {"identifier": "M74", "position": [5, 4], "step": 134, "ordinal_position": 135}, {"identifier": "I29", "position": [5, 3], "step": 135, "ordinal_position": 136}, {"identifier": "E06", "position": [5, 2], "step": 136, "ordinal_position": 137}, {"identifier": "D01", "position": [5, 1], "step": 137, "ordinal_position": 138}, {"identifier": "X71", "position": [4, 1], "step": 138, "ordinal_position": 139}, {"identifier": "S66", "position": [3, 1], "step": 139, "ordinal_position": 140}, {"identifier": "Q22", "position": [2, 1], "step": 140, "ordinal_position": 141}, {"identifier": "X31", "position": [1, 1], "step": 141, "ordinal_position": 142}, {"identifier": "Q97", "position": [1, 2], "step": 142, "ordinal_position": 143}, {"identifier": "A93", "position": [1, 3], "step": 143, "ordinal_position": 144}, {"identifier": "W21", "position": [1, 4], "step": 144, "ordinal_position": 145}, {"identifier": "I25", "position": [1, 5], "step": 145, "ordinal_position": 146}, {"identifier": "A68", "position": [2, 5], "step": 146, "ordinal_position": 147}, {"identifier": "R33", "position": [3, 5], "step": 147, "ordinal_position": 148}, {"identifier": "C89", "position": [4, 5], "step": 148, "ordinal_position": 149}, {"identifier": "E66", "position": [5, 5], "step": 149, "ordinal_position": 150}, {"identifier": "M74", "position": [5, 4], "step": 150, "ordinal_position": 151}, {"identifier": "I29", "position": [5, 3], "step": 151, "ordinal_position": 152}, {"identifier": "E06", "position": [5, 2], "step": 152, "ordinal_position": 153}, {"identifier": "D01", "position": [5, 1], "step": 153, "ordinal_position": 154}, {"identifier": "X71", "position": [4, 1], "step": 154, "ordinal_position": 155}, {"identifier": "S66", "position": [3, 1], "step": 155, "ordinal_position": 156}, {"identifier": "Q22", "position": [2, 1], "step": 156, "ordinal_position": 157}, {"identifier": "X31", "position": [1, 1], "step": 157, "ordinal_position": 158}, {"identifier": "Q97", "position": [1, 2], "step": 158, "ordinal_position": 159}, {"identifier": "A93", "position": [1, 3], "step": 159, "ordinal_position": 160}, {"identifier": "W21", "position": [1, 4], "step": 160, "ordinal_position": 161}, {"identifier": "I25", "position": [1, 5], "step": 161, "ordinal_position": 162}, {"identifier": "A68", "position": [2, 5], "step": 162, "ordinal_position": 163}, {"identifier": "R33", "position": [3, 5], "step": 163, "ordinal_position": 164}, {"identifier": "C89", "position": [4, 5], "step": 164, "ordinal_position": 165}, {"identifier": "E66", "position": [5, 5], "step": 165, "ordinal_position": 166}, {"identifier": "M74", "position": [5, 4], "step": 166, "ordinal_position": 167}, {"identifier": "I29", "position": [5, 3], "step": 167, "ordinal_position": 168}, {"identifier": "E06", "position": [5, 2], "step": 168, "ordinal_position": 169}, {"identifier": "D01", "position": [5, 1], "step": 169, "ordinal_position": 170}, {"identifier": "X71", "position": [4, 1], "step": 170, "ordinal_position": 171}, {"identifier": "S66", "position": [3, 1], "step": 171, "ordinal_position": 172}, {"identifier": "Q22", "position": [2, 1], "step": 172, "ordinal_position": 173}, {"identifier": "X31", "position": [1, 1], "step": 173, "ordinal_position": 174}, {"identifier": "Q97", "position": [1, 2], "step": 174, "ordinal_position": 175}, {"identifier": "A93", "position": [1, 3], "step": 175, "ordinal_position": 176}, {"identifier": "W21", "position": [1, 4], "step": 176, "ordinal_position": 177}, {"identifier": "I25", "position": [1, 5], "step": 177, "ordinal_position": 178}, {"identifier": "A68", "position": [2, 5], "step": 178, "ordinal_position": 179}, {"identifier": "R33", "position": [3, 5], "step": 179, "ordinal_position": 180}, {"identifier": "C89", "position": [4, 5], "step": 180, "ordinal_position": 181}, {"identifier": "E66", "position": [5, 5], "step": 181, "ordinal_position": 182}, {"identifier": "M74", "position": [5, 4], "step": 182, "ordinal_position": 183}, {"identifier": "I29", "position": [5, 3], "step": 183, "ordinal_position": 184}, {"identifier": "E06", "position": [5, 2], "step": 184, "ordinal_position": 185}, {"identifier": "D01", "position": [5, 1], "step": 185, "ordinal_position": 186}, {"identifier": "X71", "position": [4, 1], "step": 186, "ordinal_position": 187}, {"identifier": "S66", "position": [3, 1], "step": 187, "ordinal_position": 188}, {"identifier": "Q22", "position": [2, 1], "step": 188, "ordinal_position": 189}, {"identifier": "X31", "position": [1, 1], "step": 189, "ordinal_position": 190}, {"identifier": "Q97", "position": [1, 2], "step": 190, "ordinal_position": 191}, {"identifier": "A93", "position": [1, 3], "step": 191, "ordinal_position": 192}, {"identifier": "W21", "position": [1, 4], "step": 192, "ordinal_position": 193}, {"identifier": "I25", "position": [1, 5], "step": 193, "ordinal_position": 194}, {"identifier": "A68", "position": [2, 5], "step": 194, "ordinal_position": 195}, {"identifier": "R33", "position": [3, 5], "step": 195, "ordinal_position": 196}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 196, "direction": "down", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_019.json"}} {"qa_id": "8d5934b9f8c64c5f97f8da7d8361bbeb", "image_id": "L3-MazeLoop-test_7x7_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I29, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 239th position in this traversal?", "start_object_id": "I29", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [239], "ordinal_strings": ["239th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "answer": "E66", "traversal_path": [{"identifier": "I29", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "E06", "position": [5, 2], "step": 1, "ordinal_position": 2}, {"identifier": "D01", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "X71", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "S66", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Q22", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "X31", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Q97", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "A93", "position": [1, 3], "step": 8, "ordinal_position": 9}, {"identifier": "W21", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "I25", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "A68", "position": [2, 5], "step": 11, "ordinal_position": 12}, {"identifier": "R33", "position": [3, 5], "step": 12, "ordinal_position": 13}, {"identifier": "C89", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "E66", "position": [5, 5], "step": 14, "ordinal_position": 15}, {"identifier": "M74", "position": [5, 4], "step": 15, "ordinal_position": 16}, {"identifier": "I29", "position": [5, 3], "step": 16, "ordinal_position": 17}, {"identifier": "E06", "position": [5, 2], "step": 17, "ordinal_position": 18}, {"identifier": "D01", "position": [5, 1], "step": 18, "ordinal_position": 19}, {"identifier": "X71", "position": [4, 1], "step": 19, "ordinal_position": 20}, {"identifier": "S66", "position": [3, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Q22", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "X31", "position": [1, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Q97", "position": [1, 2], "step": 23, "ordinal_position": 24}, {"identifier": "A93", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "W21", "position": [1, 4], "step": 25, "ordinal_position": 26}, {"identifier": "I25", "position": [1, 5], "step": 26, "ordinal_position": 27}, {"identifier": "A68", "position": [2, 5], "step": 27, "ordinal_position": 28}, {"identifier": "R33", "position": [3, 5], "step": 28, "ordinal_position": 29}, {"identifier": "C89", "position": [4, 5], "step": 29, "ordinal_position": 30}, {"identifier": "E66", "position": [5, 5], "step": 30, "ordinal_position": 31}, {"identifier": "M74", "position": [5, 4], "step": 31, "ordinal_position": 32}, {"identifier": "I29", "position": [5, 3], "step": 32, "ordinal_position": 33}, {"identifier": "E06", "position": [5, 2], "step": 33, "ordinal_position": 34}, {"identifier": "D01", "position": [5, 1], "step": 34, "ordinal_position": 35}, {"identifier": "X71", "position": [4, 1], "step": 35, "ordinal_position": 36}, {"identifier": "S66", "position": [3, 1], "step": 36, "ordinal_position": 37}, {"identifier": "Q22", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "X31", "position": [1, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Q97", "position": [1, 2], "step": 39, "ordinal_position": 40}, {"identifier": "A93", "position": [1, 3], "step": 40, "ordinal_position": 41}, {"identifier": "W21", "position": [1, 4], "step": 41, "ordinal_position": 42}, {"identifier": "I25", "position": [1, 5], "step": 42, "ordinal_position": 43}, {"identifier": "A68", "position": [2, 5], "step": 43, "ordinal_position": 44}, {"identifier": "R33", "position": [3, 5], "step": 44, "ordinal_position": 45}, {"identifier": "C89", "position": [4, 5], "step": 45, "ordinal_position": 46}, {"identifier": "E66", "position": [5, 5], "step": 46, "ordinal_position": 47}, {"identifier": "M74", "position": [5, 4], "step": 47, "ordinal_position": 48}, {"identifier": "I29", "position": [5, 3], "step": 48, "ordinal_position": 49}, {"identifier": "E06", "position": [5, 2], "step": 49, "ordinal_position": 50}, {"identifier": "D01", "position": [5, 1], "step": 50, "ordinal_position": 51}, {"identifier": "X71", "position": [4, 1], "step": 51, "ordinal_position": 52}, {"identifier": "S66", "position": [3, 1], "step": 52, "ordinal_position": 53}, {"identifier": "Q22", "position": [2, 1], "step": 53, "ordinal_position": 54}, {"identifier": "X31", "position": [1, 1], "step": 54, "ordinal_position": 55}, {"identifier": "Q97", "position": [1, 2], "step": 55, "ordinal_position": 56}, {"identifier": "A93", "position": [1, 3], "step": 56, "ordinal_position": 57}, {"identifier": "W21", "position": [1, 4], "step": 57, "ordinal_position": 58}, {"identifier": "I25", "position": [1, 5], "step": 58, "ordinal_position": 59}, {"identifier": "A68", "position": [2, 5], "step": 59, "ordinal_position": 60}, {"identifier": "R33", "position": [3, 5], "step": 60, "ordinal_position": 61}, {"identifier": "C89", "position": [4, 5], "step": 61, "ordinal_position": 62}, {"identifier": "E66", "position": [5, 5], "step": 62, "ordinal_position": 63}, {"identifier": "M74", "position": [5, 4], "step": 63, "ordinal_position": 64}, {"identifier": "I29", "position": [5, 3], "step": 64, "ordinal_position": 65}, {"identifier": "E06", "position": [5, 2], "step": 65, "ordinal_position": 66}, {"identifier": "D01", "position": [5, 1], "step": 66, "ordinal_position": 67}, {"identifier": "X71", "position": [4, 1], "step": 67, "ordinal_position": 68}, {"identifier": "S66", "position": [3, 1], "step": 68, "ordinal_position": 69}, {"identifier": "Q22", "position": [2, 1], "step": 69, "ordinal_position": 70}, {"identifier": "X31", "position": [1, 1], "step": 70, "ordinal_position": 71}, {"identifier": "Q97", "position": [1, 2], "step": 71, "ordinal_position": 72}, {"identifier": "A93", "position": [1, 3], "step": 72, "ordinal_position": 73}, {"identifier": "W21", "position": [1, 4], "step": 73, "ordinal_position": 74}, {"identifier": "I25", "position": [1, 5], "step": 74, "ordinal_position": 75}, {"identifier": "A68", "position": [2, 5], "step": 75, "ordinal_position": 76}, {"identifier": "R33", "position": [3, 5], "step": 76, "ordinal_position": 77}, {"identifier": "C89", "position": [4, 5], "step": 77, "ordinal_position": 78}, {"identifier": "E66", "position": [5, 5], "step": 78, "ordinal_position": 79}, {"identifier": "M74", "position": [5, 4], "step": 79, "ordinal_position": 80}, {"identifier": "I29", "position": [5, 3], "step": 80, "ordinal_position": 81}, {"identifier": "E06", "position": [5, 2], "step": 81, "ordinal_position": 82}, {"identifier": "D01", "position": [5, 1], "step": 82, "ordinal_position": 83}, {"identifier": "X71", "position": [4, 1], "step": 83, "ordinal_position": 84}, {"identifier": "S66", "position": [3, 1], "step": 84, "ordinal_position": 85}, {"identifier": "Q22", "position": [2, 1], "step": 85, "ordinal_position": 86}, {"identifier": "X31", "position": [1, 1], "step": 86, "ordinal_position": 87}, {"identifier": "Q97", "position": [1, 2], "step": 87, "ordinal_position": 88}, {"identifier": "A93", "position": [1, 3], "step": 88, "ordinal_position": 89}, {"identifier": "W21", "position": [1, 4], "step": 89, "ordinal_position": 90}, {"identifier": "I25", "position": [1, 5], "step": 90, "ordinal_position": 91}, {"identifier": "A68", "position": [2, 5], "step": 91, "ordinal_position": 92}, {"identifier": "R33", "position": [3, 5], "step": 92, "ordinal_position": 93}, {"identifier": "C89", "position": [4, 5], "step": 93, "ordinal_position": 94}, {"identifier": "E66", "position": [5, 5], "step": 94, "ordinal_position": 95}, {"identifier": "M74", "position": [5, 4], "step": 95, "ordinal_position": 96}, {"identifier": "I29", "position": [5, 3], "step": 96, "ordinal_position": 97}, {"identifier": "E06", "position": [5, 2], "step": 97, "ordinal_position": 98}, {"identifier": "D01", "position": [5, 1], "step": 98, "ordinal_position": 99}, {"identifier": "X71", "position": [4, 1], "step": 99, "ordinal_position": 100}, {"identifier": "S66", "position": [3, 1], "step": 100, "ordinal_position": 101}, {"identifier": "Q22", "position": [2, 1], "step": 101, "ordinal_position": 102}, {"identifier": "X31", "position": [1, 1], "step": 102, "ordinal_position": 103}, {"identifier": "Q97", "position": [1, 2], "step": 103, "ordinal_position": 104}, {"identifier": "A93", "position": [1, 3], "step": 104, "ordinal_position": 105}, {"identifier": "W21", "position": [1, 4], "step": 105, "ordinal_position": 106}, {"identifier": "I25", "position": [1, 5], "step": 106, "ordinal_position": 107}, {"identifier": "A68", "position": [2, 5], "step": 107, "ordinal_position": 108}, {"identifier": "R33", "position": [3, 5], "step": 108, "ordinal_position": 109}, {"identifier": "C89", "position": [4, 5], "step": 109, "ordinal_position": 110}, {"identifier": "E66", "position": [5, 5], "step": 110, "ordinal_position": 111}, {"identifier": "M74", "position": [5, 4], "step": 111, "ordinal_position": 112}, {"identifier": "I29", "position": [5, 3], "step": 112, "ordinal_position": 113}, {"identifier": "E06", "position": [5, 2], "step": 113, "ordinal_position": 114}, {"identifier": "D01", "position": [5, 1], "step": 114, "ordinal_position": 115}, {"identifier": "X71", "position": [4, 1], "step": 115, "ordinal_position": 116}, {"identifier": "S66", "position": [3, 1], "step": 116, "ordinal_position": 117}, {"identifier": "Q22", "position": [2, 1], "step": 117, "ordinal_position": 118}, {"identifier": "X31", "position": [1, 1], "step": 118, "ordinal_position": 119}, {"identifier": "Q97", "position": [1, 2], "step": 119, "ordinal_position": 120}, {"identifier": "A93", "position": [1, 3], "step": 120, "ordinal_position": 121}, {"identifier": "W21", "position": [1, 4], "step": 121, "ordinal_position": 122}, {"identifier": "I25", "position": [1, 5], "step": 122, "ordinal_position": 123}, {"identifier": "A68", "position": [2, 5], "step": 123, "ordinal_position": 124}, {"identifier": "R33", "position": [3, 5], "step": 124, "ordinal_position": 125}, {"identifier": "C89", "position": [4, 5], "step": 125, "ordinal_position": 126}, {"identifier": "E66", "position": [5, 5], "step": 126, "ordinal_position": 127}, {"identifier": "M74", "position": [5, 4], "step": 127, "ordinal_position": 128}, {"identifier": "I29", "position": [5, 3], "step": 128, "ordinal_position": 129}, {"identifier": "E06", "position": [5, 2], "step": 129, "ordinal_position": 130}, {"identifier": "D01", "position": [5, 1], "step": 130, "ordinal_position": 131}, {"identifier": "X71", "position": [4, 1], "step": 131, "ordinal_position": 132}, {"identifier": "S66", "position": [3, 1], "step": 132, "ordinal_position": 133}, {"identifier": "Q22", "position": [2, 1], "step": 133, "ordinal_position": 134}, {"identifier": "X31", "position": [1, 1], "step": 134, "ordinal_position": 135}, {"identifier": "Q97", "position": [1, 2], "step": 135, "ordinal_position": 136}, {"identifier": "A93", "position": [1, 3], "step": 136, "ordinal_position": 137}, {"identifier": "W21", "position": [1, 4], "step": 137, "ordinal_position": 138}, {"identifier": "I25", "position": [1, 5], "step": 138, "ordinal_position": 139}, {"identifier": "A68", "position": [2, 5], "step": 139, "ordinal_position": 140}, {"identifier": "R33", "position": [3, 5], "step": 140, "ordinal_position": 141}, {"identifier": "C89", "position": [4, 5], "step": 141, "ordinal_position": 142}, {"identifier": "E66", "position": [5, 5], "step": 142, "ordinal_position": 143}, {"identifier": "M74", "position": [5, 4], "step": 143, "ordinal_position": 144}, {"identifier": "I29", "position": [5, 3], "step": 144, "ordinal_position": 145}, {"identifier": "E06", "position": [5, 2], "step": 145, "ordinal_position": 146}, {"identifier": "D01", "position": [5, 1], "step": 146, "ordinal_position": 147}, {"identifier": "X71", "position": [4, 1], "step": 147, "ordinal_position": 148}, {"identifier": "S66", "position": [3, 1], "step": 148, "ordinal_position": 149}, {"identifier": "Q22", "position": [2, 1], "step": 149, "ordinal_position": 150}, {"identifier": "X31", "position": [1, 1], "step": 150, "ordinal_position": 151}, {"identifier": "Q97", "position": [1, 2], "step": 151, "ordinal_position": 152}, {"identifier": "A93", "position": [1, 3], "step": 152, "ordinal_position": 153}, {"identifier": "W21", "position": [1, 4], "step": 153, "ordinal_position": 154}, {"identifier": "I25", "position": [1, 5], "step": 154, "ordinal_position": 155}, {"identifier": "A68", "position": [2, 5], "step": 155, "ordinal_position": 156}, {"identifier": "R33", "position": [3, 5], "step": 156, "ordinal_position": 157}, {"identifier": "C89", "position": [4, 5], "step": 157, "ordinal_position": 158}, {"identifier": "E66", "position": [5, 5], "step": 158, "ordinal_position": 159}, {"identifier": "M74", "position": [5, 4], "step": 159, "ordinal_position": 160}, {"identifier": "I29", "position": [5, 3], "step": 160, "ordinal_position": 161}, {"identifier": "E06", "position": [5, 2], "step": 161, "ordinal_position": 162}, {"identifier": "D01", "position": [5, 1], "step": 162, "ordinal_position": 163}, {"identifier": "X71", "position": [4, 1], "step": 163, "ordinal_position": 164}, {"identifier": "S66", "position": [3, 1], "step": 164, "ordinal_position": 165}, {"identifier": "Q22", "position": [2, 1], "step": 165, "ordinal_position": 166}, {"identifier": "X31", "position": [1, 1], "step": 166, "ordinal_position": 167}, {"identifier": "Q97", "position": [1, 2], "step": 167, "ordinal_position": 168}, {"identifier": "A93", "position": [1, 3], "step": 168, "ordinal_position": 169}, {"identifier": "W21", "position": [1, 4], "step": 169, "ordinal_position": 170}, {"identifier": "I25", "position": [1, 5], "step": 170, "ordinal_position": 171}, {"identifier": "A68", "position": [2, 5], "step": 171, "ordinal_position": 172}, {"identifier": "R33", "position": [3, 5], "step": 172, "ordinal_position": 173}, {"identifier": "C89", "position": [4, 5], "step": 173, "ordinal_position": 174}, {"identifier": "E66", "position": [5, 5], "step": 174, "ordinal_position": 175}, {"identifier": "M74", "position": [5, 4], "step": 175, "ordinal_position": 176}, {"identifier": "I29", "position": [5, 3], "step": 176, "ordinal_position": 177}, {"identifier": "E06", "position": [5, 2], "step": 177, "ordinal_position": 178}, {"identifier": "D01", "position": [5, 1], "step": 178, "ordinal_position": 179}, {"identifier": "X71", "position": [4, 1], "step": 179, "ordinal_position": 180}, {"identifier": "S66", "position": [3, 1], "step": 180, "ordinal_position": 181}, {"identifier": "Q22", "position": [2, 1], "step": 181, "ordinal_position": 182}, {"identifier": "X31", "position": [1, 1], "step": 182, "ordinal_position": 183}, {"identifier": "Q97", "position": [1, 2], "step": 183, "ordinal_position": 184}, {"identifier": "A93", "position": [1, 3], "step": 184, "ordinal_position": 185}, {"identifier": "W21", "position": [1, 4], "step": 185, "ordinal_position": 186}, {"identifier": "I25", "position": [1, 5], "step": 186, "ordinal_position": 187}, {"identifier": "A68", "position": [2, 5], "step": 187, "ordinal_position": 188}, {"identifier": "R33", "position": [3, 5], "step": 188, "ordinal_position": 189}, {"identifier": "C89", "position": [4, 5], "step": 189, "ordinal_position": 190}, {"identifier": "E66", "position": [5, 5], "step": 190, "ordinal_position": 191}, {"identifier": "M74", "position": [5, 4], "step": 191, "ordinal_position": 192}, {"identifier": "I29", "position": [5, 3], "step": 192, "ordinal_position": 193}, {"identifier": "E06", "position": [5, 2], "step": 193, "ordinal_position": 194}, {"identifier": "D01", "position": [5, 1], "step": 194, "ordinal_position": 195}, {"identifier": "X71", "position": [4, 1], "step": 195, "ordinal_position": 196}, {"identifier": "S66", "position": [3, 1], "step": 196, "ordinal_position": 197}, {"identifier": "Q22", "position": [2, 1], "step": 197, "ordinal_position": 198}, {"identifier": "X31", "position": [1, 1], "step": 198, "ordinal_position": 199}, {"identifier": "Q97", "position": [1, 2], "step": 199, "ordinal_position": 200}, {"identifier": "A93", "position": [1, 3], "step": 200, "ordinal_position": 201}, {"identifier": "W21", "position": [1, 4], "step": 201, "ordinal_position": 202}, {"identifier": "I25", "position": [1, 5], "step": 202, "ordinal_position": 203}, {"identifier": "A68", "position": [2, 5], "step": 203, "ordinal_position": 204}, {"identifier": "R33", "position": [3, 5], "step": 204, "ordinal_position": 205}, {"identifier": "C89", "position": [4, 5], "step": 205, "ordinal_position": 206}, {"identifier": "E66", "position": [5, 5], "step": 206, "ordinal_position": 207}, {"identifier": "M74", "position": [5, 4], "step": 207, "ordinal_position": 208}, {"identifier": "I29", "position": [5, 3], "step": 208, "ordinal_position": 209}, {"identifier": "E06", "position": [5, 2], "step": 209, "ordinal_position": 210}, {"identifier": "D01", "position": [5, 1], "step": 210, "ordinal_position": 211}, {"identifier": "X71", "position": [4, 1], "step": 211, "ordinal_position": 212}, {"identifier": "S66", "position": [3, 1], "step": 212, "ordinal_position": 213}, {"identifier": "Q22", "position": [2, 1], "step": 213, "ordinal_position": 214}, {"identifier": "X31", "position": [1, 1], "step": 214, "ordinal_position": 215}, {"identifier": "Q97", "position": [1, 2], "step": 215, "ordinal_position": 216}, {"identifier": "A93", "position": [1, 3], "step": 216, "ordinal_position": 217}, {"identifier": "W21", "position": [1, 4], "step": 217, "ordinal_position": 218}, {"identifier": "I25", "position": [1, 5], "step": 218, "ordinal_position": 219}, {"identifier": "A68", "position": [2, 5], "step": 219, "ordinal_position": 220}, {"identifier": "R33", "position": [3, 5], "step": 220, "ordinal_position": 221}, {"identifier": "C89", "position": [4, 5], "step": 221, "ordinal_position": 222}, {"identifier": "E66", "position": [5, 5], "step": 222, "ordinal_position": 223}, {"identifier": "M74", "position": [5, 4], "step": 223, "ordinal_position": 224}, {"identifier": "I29", "position": [5, 3], "step": 224, "ordinal_position": 225}, {"identifier": "E06", "position": [5, 2], "step": 225, "ordinal_position": 226}, {"identifier": "D01", "position": [5, 1], "step": 226, "ordinal_position": 227}, {"identifier": "X71", "position": [4, 1], "step": 227, "ordinal_position": 228}, {"identifier": "S66", "position": [3, 1], "step": 228, "ordinal_position": 229}, {"identifier": "Q22", "position": [2, 1], "step": 229, "ordinal_position": 230}, {"identifier": "X31", "position": [1, 1], "step": 230, "ordinal_position": 231}, {"identifier": "Q97", "position": [1, 2], "step": 231, "ordinal_position": 232}, {"identifier": "A93", "position": [1, 3], "step": 232, "ordinal_position": 233}, {"identifier": "W21", "position": [1, 4], "step": 233, "ordinal_position": 234}, {"identifier": "I25", "position": [1, 5], "step": 234, "ordinal_position": 235}, {"identifier": "A68", "position": [2, 5], "step": 235, "ordinal_position": 236}, {"identifier": "R33", "position": [3, 5], "step": 236, "ordinal_position": 237}, {"identifier": "C89", "position": [4, 5], "step": 237, "ordinal_position": 238}, {"identifier": "E66", "position": [5, 5], "step": 238, "ordinal_position": 239}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L1_few", "ordinal_value": 239, "direction": "up", "turn_preference": "right", "total_objects": 19, "grid_size": 7, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_7x7_019.json"}} {"qa_id": "c5c8e309e1b948469ebdd4d54c914621", "image_id": "L3-MazeLoop-test_11x11_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H53, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 9th position in this traversal?", "start_object_id": "H53", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [9], "ordinal_strings": ["9th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "H64", "traversal_path": [{"identifier": "H53", "position": [3, 8], "step": 0, "ordinal_position": 1}, {"identifier": "F11", "position": [3, 7], "step": 1, "ordinal_position": 2}, {"identifier": "L92", "position": [3, 6], "step": 2, "ordinal_position": 3}, {"identifier": "L28", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "Y42", "position": [2, 5], "step": 4, "ordinal_position": 5}, {"identifier": "T51", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "D67", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "C57", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "H64", "position": [1, 2], "step": 8, "ordinal_position": 9}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 9, "direction": "up", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_000.json"}} {"qa_id": "f34d1a66ebcc4ee2a2f39ae310d373fb", "image_id": "L3-MazeLoop-test_11x11_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F11, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 11th position in this traversal?", "start_object_id": "F11", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [11], "ordinal_strings": ["11th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "B35", "traversal_path": [{"identifier": "F11", "position": [3, 7], "step": 0, "ordinal_position": 1}, {"identifier": "H53", "position": [3, 8], "step": 1, "ordinal_position": 2}, {"identifier": "B35", "position": [3, 9], "step": 2, "ordinal_position": 3}, {"identifier": "H82", "position": [2, 9], "step": 3, "ordinal_position": 4}, {"identifier": "W42", "position": [1, 9], "step": 4, "ordinal_position": 5}, {"identifier": "N62", "position": [1, 8], "step": 5, "ordinal_position": 6}, {"identifier": "B58", "position": [1, 7], "step": 6, "ordinal_position": 7}, {"identifier": "D29", "position": [2, 7], "step": 7, "ordinal_position": 8}, {"identifier": "F11", "position": [3, 7], "step": 8, "ordinal_position": 9}, {"identifier": "H53", "position": [3, 8], "step": 9, "ordinal_position": 10}, {"identifier": "B35", "position": [3, 9], "step": 10, "ordinal_position": 11}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 11, "direction": "down", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_000.json"}} {"qa_id": "84704a70553e4c0180f04df90ce31aa4", "image_id": "L3-MazeLoop-test_11x11_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B35, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "B35", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "F33", "traversal_path": [{"identifier": "B35", "position": [3, 9], "step": 0, "ordinal_position": 1}, {"identifier": "J91", "position": [4, 9], "step": 1, "ordinal_position": 2}, {"identifier": "V48", "position": [5, 9], "step": 2, "ordinal_position": 3}, {"identifier": "X24", "position": [5, 8], "step": 3, "ordinal_position": 4}, {"identifier": "U04", "position": [5, 7], "step": 4, "ordinal_position": 5}, {"identifier": "C82", "position": [5, 6], "step": 5, "ordinal_position": 6}, {"identifier": "F33", "position": [5, 5], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 7, "direction": "right", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_000.json"}} {"qa_id": "0a48199c8165429a9f87eef09ddfcc50", "image_id": "L3-MazeLoop-test_11x11_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H53, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "H53", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "C57", "traversal_path": [{"identifier": "H53", "position": [3, 8], "step": 0, "ordinal_position": 1}, {"identifier": "F11", "position": [3, 7], "step": 1, "ordinal_position": 2}, {"identifier": "L92", "position": [3, 6], "step": 2, "ordinal_position": 3}, {"identifier": "L28", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "Y42", "position": [2, 5], "step": 4, "ordinal_position": 5}, {"identifier": "T51", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "D67", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "C57", "position": [1, 3], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 8, "direction": "up", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_000.json"}} {"qa_id": "21df35a6ef2c4ae991cd39ffd94b6cba", "image_id": "L3-MazeLoop-test_11x11_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D67, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 9th position in this traversal?", "start_object_id": "D67", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [9], "ordinal_strings": ["9th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "J91", "traversal_path": [{"identifier": "D67", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "T51", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "Y42", "position": [2, 5], "step": 2, "ordinal_position": 3}, {"identifier": "L28", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "L92", "position": [3, 6], "step": 4, "ordinal_position": 5}, {"identifier": "F11", "position": [3, 7], "step": 5, "ordinal_position": 6}, {"identifier": "H53", "position": [3, 8], "step": 6, "ordinal_position": 7}, {"identifier": "B35", "position": [3, 9], "step": 7, "ordinal_position": 8}, {"identifier": "J91", "position": [4, 9], "step": 8, "ordinal_position": 9}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 9, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_000.json"}} {"qa_id": "fb058d83cf50427299f7e1befa18db74", "image_id": "L3-MazeLoop-test_11x11_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P76, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 50th position in this traversal?", "start_object_id": "P76", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [50], "ordinal_strings": ["50th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Y42", "traversal_path": [{"identifier": "P76", "position": [5, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Y06", "position": [5, 2], "step": 1, "ordinal_position": 2}, {"identifier": "W41", "position": [5, 3], "step": 2, "ordinal_position": 3}, {"identifier": "M34", "position": [4, 3], "step": 3, "ordinal_position": 4}, {"identifier": "Z09", "position": [3, 3], "step": 4, "ordinal_position": 5}, {"identifier": "X57", "position": [3, 2], "step": 5, "ordinal_position": 6}, {"identifier": "W14", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "S34", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "N10", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "H64", "position": [1, 2], "step": 9, "ordinal_position": 10}, {"identifier": "C57", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "D67", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "T51", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "Y42", "position": [2, 5], "step": 13, "ordinal_position": 14}, {"identifier": "L28", "position": [3, 5], "step": 14, "ordinal_position": 15}, {"identifier": "L92", "position": [3, 6], "step": 15, "ordinal_position": 16}, {"identifier": "F11", "position": [3, 7], "step": 16, "ordinal_position": 17}, {"identifier": "H53", "position": [3, 8], "step": 17, "ordinal_position": 18}, {"identifier": "B35", "position": [3, 9], "step": 18, "ordinal_position": 19}, {"identifier": "J91", "position": [4, 9], "step": 19, "ordinal_position": 20}, {"identifier": "V48", "position": [5, 9], "step": 20, "ordinal_position": 21}, {"identifier": "X24", "position": [5, 8], "step": 21, "ordinal_position": 22}, {"identifier": "U04", "position": [5, 7], "step": 22, "ordinal_position": 23}, {"identifier": "C82", "position": [5, 6], "step": 23, "ordinal_position": 24}, {"identifier": "F33", "position": [5, 5], "step": 24, "ordinal_position": 25}, {"identifier": "Q02", "position": [6, 5], "step": 25, "ordinal_position": 26}, {"identifier": "S22", "position": [7, 5], "step": 26, "ordinal_position": 27}, {"identifier": "E46", "position": [7, 4], "step": 27, "ordinal_position": 28}, {"identifier": "D28", "position": [7, 3], "step": 28, "ordinal_position": 29}, {"identifier": "Y70", "position": [8, 3], "step": 29, "ordinal_position": 30}, {"identifier": "H75", "position": [9, 3], "step": 30, "ordinal_position": 31}, {"identifier": "W13", "position": [9, 2], "step": 31, "ordinal_position": 32}, {"identifier": "J77", "position": [9, 1], "step": 32, "ordinal_position": 33}, {"identifier": "L89", "position": [8, 1], "step": 33, "ordinal_position": 34}, {"identifier": "F83", "position": [7, 1], "step": 34, "ordinal_position": 35}, {"identifier": "U80", "position": [6, 1], "step": 35, "ordinal_position": 36}, {"identifier": "P76", "position": [5, 1], "step": 36, "ordinal_position": 37}, {"identifier": "Y06", "position": [5, 2], "step": 37, "ordinal_position": 38}, {"identifier": "W41", "position": [5, 3], "step": 38, "ordinal_position": 39}, {"identifier": "M34", "position": [4, 3], "step": 39, "ordinal_position": 40}, {"identifier": "Z09", "position": [3, 3], "step": 40, "ordinal_position": 41}, {"identifier": "X57", "position": [3, 2], "step": 41, "ordinal_position": 42}, {"identifier": "W14", "position": [3, 1], "step": 42, "ordinal_position": 43}, {"identifier": "S34", "position": [2, 1], "step": 43, "ordinal_position": 44}, {"identifier": "N10", "position": [1, 1], "step": 44, "ordinal_position": 45}, {"identifier": "H64", "position": [1, 2], "step": 45, "ordinal_position": 46}, {"identifier": "C57", "position": [1, 3], "step": 46, "ordinal_position": 47}, {"identifier": "D67", "position": [1, 4], "step": 47, "ordinal_position": 48}, {"identifier": "T51", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "Y42", "position": [2, 5], "step": 49, "ordinal_position": 50}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 50, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_000.json"}} {"qa_id": "63d99dd88821443391038256c9e0eaa3", "image_id": "L3-MazeLoop-test_11x11_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M34, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 35th position in this traversal?", "start_object_id": "M34", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [35], "ordinal_strings": ["35th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "I32", "traversal_path": [{"identifier": "M34", "position": [4, 3], "step": 0, "ordinal_position": 1}, {"identifier": "W41", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "Y06", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "P76", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "U80", "position": [6, 1], "step": 4, "ordinal_position": 5}, {"identifier": "F83", "position": [7, 1], "step": 5, "ordinal_position": 6}, {"identifier": "L89", "position": [8, 1], "step": 6, "ordinal_position": 7}, {"identifier": "J77", "position": [9, 1], "step": 7, "ordinal_position": 8}, {"identifier": "W13", "position": [9, 2], "step": 8, "ordinal_position": 9}, {"identifier": "H75", "position": [9, 3], "step": 9, "ordinal_position": 10}, {"identifier": "L78", "position": [9, 4], "step": 10, "ordinal_position": 11}, {"identifier": "N32", "position": [9, 5], "step": 11, "ordinal_position": 12}, {"identifier": "G12", "position": [9, 6], "step": 12, "ordinal_position": 13}, {"identifier": "J08", "position": [9, 7], "step": 13, "ordinal_position": 14}, {"identifier": "M98", "position": [9, 8], "step": 14, "ordinal_position": 15}, {"identifier": "W57", "position": [9, 9], "step": 15, "ordinal_position": 16}, {"identifier": "D75", "position": [8, 9], "step": 16, "ordinal_position": 17}, {"identifier": "D73", "position": [7, 9], "step": 17, "ordinal_position": 18}, {"identifier": "I32", "position": [7, 8], "step": 18, "ordinal_position": 19}, {"identifier": "W24", "position": [7, 7], "step": 19, "ordinal_position": 20}, {"identifier": "K65", "position": [8, 7], "step": 20, "ordinal_position": 21}, {"identifier": "J08", "position": [9, 7], "step": 21, "ordinal_position": 22}, {"identifier": "M98", "position": [9, 8], "step": 22, "ordinal_position": 23}, {"identifier": "W57", "position": [9, 9], "step": 23, "ordinal_position": 24}, {"identifier": "D75", "position": [8, 9], "step": 24, "ordinal_position": 25}, {"identifier": "D73", "position": [7, 9], "step": 25, "ordinal_position": 26}, {"identifier": "I32", "position": [7, 8], "step": 26, "ordinal_position": 27}, {"identifier": "W24", "position": [7, 7], "step": 27, "ordinal_position": 28}, {"identifier": "K65", "position": [8, 7], "step": 28, "ordinal_position": 29}, {"identifier": "J08", "position": [9, 7], "step": 29, "ordinal_position": 30}, {"identifier": "M98", "position": [9, 8], "step": 30, "ordinal_position": 31}, {"identifier": "W57", "position": [9, 9], "step": 31, "ordinal_position": 32}, {"identifier": "D75", "position": [8, 9], "step": 32, "ordinal_position": 33}, {"identifier": "D73", "position": [7, 9], "step": 33, "ordinal_position": 34}, {"identifier": "I32", "position": [7, 8], "step": 34, "ordinal_position": 35}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 35, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_000.json"}} {"qa_id": "a4d71f2017d6463cb978a341f49e3655", "image_id": "L3-MazeLoop-test_11x11_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W14, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 97th position in this traversal?", "start_object_id": "W14", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [97], "ordinal_strings": ["97th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "H75", "traversal_path": [{"identifier": "W14", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "S34", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "N10", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "H64", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "C57", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "D67", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "T51", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "Y42", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "L28", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "L92", "position": [3, 6], "step": 9, "ordinal_position": 10}, {"identifier": "F11", "position": [3, 7], "step": 10, "ordinal_position": 11}, {"identifier": "H53", "position": [3, 8], "step": 11, "ordinal_position": 12}, {"identifier": "B35", "position": [3, 9], "step": 12, "ordinal_position": 13}, {"identifier": "J91", "position": [4, 9], "step": 13, "ordinal_position": 14}, {"identifier": "V48", "position": [5, 9], "step": 14, "ordinal_position": 15}, {"identifier": "X24", "position": [5, 8], "step": 15, "ordinal_position": 16}, {"identifier": "U04", "position": [5, 7], "step": 16, "ordinal_position": 17}, {"identifier": "C82", "position": [5, 6], "step": 17, "ordinal_position": 18}, {"identifier": "F33", "position": [5, 5], "step": 18, "ordinal_position": 19}, {"identifier": "Q02", "position": [6, 5], "step": 19, "ordinal_position": 20}, {"identifier": "S22", "position": [7, 5], "step": 20, "ordinal_position": 21}, {"identifier": "E46", "position": [7, 4], "step": 21, "ordinal_position": 22}, {"identifier": "D28", "position": [7, 3], "step": 22, "ordinal_position": 23}, {"identifier": "Y70", "position": [8, 3], "step": 23, "ordinal_position": 24}, {"identifier": "H75", "position": [9, 3], "step": 24, "ordinal_position": 25}, {"identifier": "W13", "position": [9, 2], "step": 25, "ordinal_position": 26}, {"identifier": "J77", "position": [9, 1], "step": 26, "ordinal_position": 27}, {"identifier": "L89", "position": [8, 1], "step": 27, "ordinal_position": 28}, {"identifier": "F83", "position": [7, 1], "step": 28, "ordinal_position": 29}, {"identifier": "U80", "position": [6, 1], "step": 29, "ordinal_position": 30}, {"identifier": "P76", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Y06", "position": [5, 2], "step": 31, "ordinal_position": 32}, {"identifier": "W41", "position": [5, 3], "step": 32, "ordinal_position": 33}, {"identifier": "M34", "position": [4, 3], "step": 33, "ordinal_position": 34}, {"identifier": "Z09", "position": [3, 3], "step": 34, "ordinal_position": 35}, {"identifier": "X57", "position": [3, 2], "step": 35, "ordinal_position": 36}, {"identifier": "W14", "position": [3, 1], "step": 36, "ordinal_position": 37}, {"identifier": "S34", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "N10", "position": [1, 1], "step": 38, "ordinal_position": 39}, {"identifier": "H64", "position": [1, 2], "step": 39, "ordinal_position": 40}, {"identifier": "C57", "position": [1, 3], "step": 40, "ordinal_position": 41}, {"identifier": "D67", "position": [1, 4], "step": 41, "ordinal_position": 42}, {"identifier": "T51", "position": [1, 5], "step": 42, "ordinal_position": 43}, {"identifier": "Y42", "position": [2, 5], "step": 43, "ordinal_position": 44}, {"identifier": "L28", "position": [3, 5], "step": 44, "ordinal_position": 45}, {"identifier": "L92", "position": [3, 6], "step": 45, "ordinal_position": 46}, {"identifier": "F11", "position": [3, 7], "step": 46, "ordinal_position": 47}, {"identifier": "H53", "position": [3, 8], "step": 47, "ordinal_position": 48}, {"identifier": "B35", "position": [3, 9], "step": 48, "ordinal_position": 49}, {"identifier": "J91", "position": [4, 9], "step": 49, "ordinal_position": 50}, {"identifier": "V48", "position": [5, 9], "step": 50, "ordinal_position": 51}, {"identifier": "X24", "position": [5, 8], "step": 51, "ordinal_position": 52}, {"identifier": "U04", "position": [5, 7], "step": 52, "ordinal_position": 53}, {"identifier": "C82", "position": [5, 6], "step": 53, "ordinal_position": 54}, {"identifier": "F33", "position": [5, 5], "step": 54, "ordinal_position": 55}, {"identifier": "Q02", "position": [6, 5], "step": 55, "ordinal_position": 56}, {"identifier": "S22", "position": [7, 5], "step": 56, "ordinal_position": 57}, {"identifier": "E46", "position": [7, 4], "step": 57, "ordinal_position": 58}, {"identifier": "D28", "position": [7, 3], "step": 58, "ordinal_position": 59}, {"identifier": "Y70", "position": [8, 3], "step": 59, "ordinal_position": 60}, {"identifier": "H75", "position": [9, 3], "step": 60, "ordinal_position": 61}, {"identifier": "W13", "position": [9, 2], "step": 61, "ordinal_position": 62}, {"identifier": "J77", "position": [9, 1], "step": 62, "ordinal_position": 63}, {"identifier": "L89", "position": [8, 1], "step": 63, "ordinal_position": 64}, {"identifier": "F83", "position": [7, 1], "step": 64, "ordinal_position": 65}, {"identifier": "U80", "position": [6, 1], "step": 65, "ordinal_position": 66}, {"identifier": "P76", "position": [5, 1], "step": 66, "ordinal_position": 67}, {"identifier": "Y06", "position": [5, 2], "step": 67, "ordinal_position": 68}, {"identifier": "W41", "position": [5, 3], "step": 68, "ordinal_position": 69}, {"identifier": "M34", "position": [4, 3], "step": 69, "ordinal_position": 70}, {"identifier": "Z09", "position": [3, 3], "step": 70, "ordinal_position": 71}, {"identifier": "X57", "position": [3, 2], "step": 71, "ordinal_position": 72}, {"identifier": "W14", "position": [3, 1], "step": 72, "ordinal_position": 73}, {"identifier": "S34", "position": [2, 1], "step": 73, "ordinal_position": 74}, {"identifier": "N10", "position": [1, 1], "step": 74, "ordinal_position": 75}, {"identifier": "H64", "position": [1, 2], "step": 75, "ordinal_position": 76}, {"identifier": "C57", "position": [1, 3], "step": 76, "ordinal_position": 77}, {"identifier": "D67", "position": [1, 4], "step": 77, "ordinal_position": 78}, {"identifier": "T51", "position": [1, 5], "step": 78, "ordinal_position": 79}, {"identifier": "Y42", "position": [2, 5], "step": 79, "ordinal_position": 80}, {"identifier": "L28", "position": [3, 5], "step": 80, "ordinal_position": 81}, {"identifier": "L92", "position": [3, 6], "step": 81, "ordinal_position": 82}, {"identifier": "F11", "position": [3, 7], "step": 82, "ordinal_position": 83}, {"identifier": "H53", "position": [3, 8], "step": 83, "ordinal_position": 84}, {"identifier": "B35", "position": [3, 9], "step": 84, "ordinal_position": 85}, {"identifier": "J91", "position": [4, 9], "step": 85, "ordinal_position": 86}, {"identifier": "V48", "position": [5, 9], "step": 86, "ordinal_position": 87}, {"identifier": "X24", "position": [5, 8], "step": 87, "ordinal_position": 88}, {"identifier": "U04", "position": [5, 7], "step": 88, "ordinal_position": 89}, {"identifier": "C82", "position": [5, 6], "step": 89, "ordinal_position": 90}, {"identifier": "F33", "position": [5, 5], "step": 90, "ordinal_position": 91}, {"identifier": "Q02", "position": [6, 5], "step": 91, "ordinal_position": 92}, {"identifier": "S22", "position": [7, 5], "step": 92, "ordinal_position": 93}, {"identifier": "E46", "position": [7, 4], "step": 93, "ordinal_position": 94}, {"identifier": "D28", "position": [7, 3], "step": 94, "ordinal_position": 95}, {"identifier": "Y70", "position": [8, 3], "step": 95, "ordinal_position": 96}, {"identifier": "H75", "position": [9, 3], "step": 96, "ordinal_position": 97}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 97, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_000.json"}} {"qa_id": "527140cccdc443d4a038f8d188e323fb", "image_id": "L3-MazeLoop-test_11x11_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B35, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 13th position in this traversal?", "start_object_id": "B35", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [13], "ordinal_strings": ["13th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "C57", "traversal_path": [{"identifier": "B35", "position": [3, 9], "step": 0, "ordinal_position": 1}, {"identifier": "H82", "position": [2, 9], "step": 1, "ordinal_position": 2}, {"identifier": "W42", "position": [1, 9], "step": 2, "ordinal_position": 3}, {"identifier": "N62", "position": [1, 8], "step": 3, "ordinal_position": 4}, {"identifier": "B58", "position": [1, 7], "step": 4, "ordinal_position": 5}, {"identifier": "D29", "position": [2, 7], "step": 5, "ordinal_position": 6}, {"identifier": "F11", "position": [3, 7], "step": 6, "ordinal_position": 7}, {"identifier": "L92", "position": [3, 6], "step": 7, "ordinal_position": 8}, {"identifier": "L28", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "Y42", "position": [2, 5], "step": 9, "ordinal_position": 10}, {"identifier": "T51", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "D67", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "C57", "position": [1, 3], "step": 12, "ordinal_position": 13}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 13, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_000.json"}} {"qa_id": "c31130004a984b30869d6fbadd33486e", "image_id": "L3-MazeLoop-test_11x11_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F33, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 81st position in this traversal?", "start_object_id": "F33", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [81], "ordinal_strings": ["81st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "W42", "traversal_path": [{"identifier": "F33", "position": [5, 5], "step": 0, "ordinal_position": 1}, {"identifier": "C82", "position": [5, 6], "step": 1, "ordinal_position": 2}, {"identifier": "U04", "position": [5, 7], "step": 2, "ordinal_position": 3}, {"identifier": "X24", "position": [5, 8], "step": 3, "ordinal_position": 4}, {"identifier": "V48", "position": [5, 9], "step": 4, "ordinal_position": 5}, {"identifier": "J91", "position": [4, 9], "step": 5, "ordinal_position": 6}, {"identifier": "B35", "position": [3, 9], "step": 6, "ordinal_position": 7}, {"identifier": "H82", "position": [2, 9], "step": 7, "ordinal_position": 8}, {"identifier": "W42", "position": [1, 9], "step": 8, "ordinal_position": 9}, {"identifier": "N62", "position": [1, 8], "step": 9, "ordinal_position": 10}, {"identifier": "B58", "position": [1, 7], "step": 10, "ordinal_position": 11}, {"identifier": "D29", "position": [2, 7], "step": 11, "ordinal_position": 12}, {"identifier": "F11", "position": [3, 7], "step": 12, "ordinal_position": 13}, {"identifier": "H53", "position": [3, 8], "step": 13, "ordinal_position": 14}, {"identifier": "B35", "position": [3, 9], "step": 14, "ordinal_position": 15}, {"identifier": "H82", "position": [2, 9], "step": 15, "ordinal_position": 16}, {"identifier": "W42", "position": [1, 9], "step": 16, "ordinal_position": 17}, {"identifier": "N62", "position": [1, 8], "step": 17, "ordinal_position": 18}, {"identifier": "B58", "position": [1, 7], "step": 18, "ordinal_position": 19}, {"identifier": "D29", "position": [2, 7], "step": 19, "ordinal_position": 20}, {"identifier": "F11", "position": [3, 7], "step": 20, "ordinal_position": 21}, {"identifier": "H53", "position": [3, 8], "step": 21, "ordinal_position": 22}, {"identifier": "B35", "position": [3, 9], "step": 22, "ordinal_position": 23}, {"identifier": "H82", "position": [2, 9], "step": 23, "ordinal_position": 24}, {"identifier": "W42", "position": [1, 9], "step": 24, "ordinal_position": 25}, {"identifier": "N62", "position": [1, 8], "step": 25, "ordinal_position": 26}, {"identifier": "B58", "position": [1, 7], "step": 26, "ordinal_position": 27}, {"identifier": "D29", "position": [2, 7], "step": 27, "ordinal_position": 28}, {"identifier": "F11", "position": [3, 7], "step": 28, "ordinal_position": 29}, {"identifier": "H53", "position": [3, 8], "step": 29, "ordinal_position": 30}, {"identifier": "B35", "position": [3, 9], "step": 30, "ordinal_position": 31}, {"identifier": "H82", "position": [2, 9], "step": 31, "ordinal_position": 32}, {"identifier": "W42", "position": [1, 9], "step": 32, "ordinal_position": 33}, {"identifier": "N62", "position": [1, 8], "step": 33, "ordinal_position": 34}, {"identifier": "B58", "position": [1, 7], "step": 34, "ordinal_position": 35}, {"identifier": "D29", "position": [2, 7], "step": 35, "ordinal_position": 36}, {"identifier": "F11", "position": [3, 7], "step": 36, "ordinal_position": 37}, {"identifier": "H53", "position": [3, 8], "step": 37, "ordinal_position": 38}, {"identifier": "B35", "position": [3, 9], "step": 38, "ordinal_position": 39}, {"identifier": "H82", "position": [2, 9], "step": 39, "ordinal_position": 40}, {"identifier": "W42", "position": [1, 9], "step": 40, "ordinal_position": 41}, {"identifier": "N62", "position": [1, 8], "step": 41, "ordinal_position": 42}, {"identifier": "B58", "position": [1, 7], "step": 42, "ordinal_position": 43}, {"identifier": "D29", "position": [2, 7], "step": 43, "ordinal_position": 44}, {"identifier": "F11", "position": [3, 7], "step": 44, "ordinal_position": 45}, {"identifier": "H53", "position": [3, 8], "step": 45, "ordinal_position": 46}, {"identifier": "B35", "position": [3, 9], "step": 46, "ordinal_position": 47}, {"identifier": "H82", "position": [2, 9], "step": 47, "ordinal_position": 48}, {"identifier": "W42", "position": [1, 9], "step": 48, "ordinal_position": 49}, {"identifier": "N62", "position": [1, 8], "step": 49, "ordinal_position": 50}, {"identifier": "B58", "position": [1, 7], "step": 50, "ordinal_position": 51}, {"identifier": "D29", "position": [2, 7], "step": 51, "ordinal_position": 52}, {"identifier": "F11", "position": [3, 7], "step": 52, "ordinal_position": 53}, {"identifier": "H53", "position": [3, 8], "step": 53, "ordinal_position": 54}, {"identifier": "B35", "position": [3, 9], "step": 54, "ordinal_position": 55}, {"identifier": "H82", "position": [2, 9], "step": 55, "ordinal_position": 56}, {"identifier": "W42", "position": [1, 9], "step": 56, "ordinal_position": 57}, {"identifier": "N62", "position": [1, 8], "step": 57, "ordinal_position": 58}, {"identifier": "B58", "position": [1, 7], "step": 58, "ordinal_position": 59}, {"identifier": "D29", "position": [2, 7], "step": 59, "ordinal_position": 60}, {"identifier": "F11", "position": [3, 7], "step": 60, "ordinal_position": 61}, {"identifier": "H53", "position": [3, 8], "step": 61, "ordinal_position": 62}, {"identifier": "B35", "position": [3, 9], "step": 62, "ordinal_position": 63}, {"identifier": "H82", "position": [2, 9], "step": 63, "ordinal_position": 64}, {"identifier": "W42", "position": [1, 9], "step": 64, "ordinal_position": 65}, {"identifier": "N62", "position": [1, 8], "step": 65, "ordinal_position": 66}, {"identifier": "B58", "position": [1, 7], "step": 66, "ordinal_position": 67}, {"identifier": "D29", "position": [2, 7], "step": 67, "ordinal_position": 68}, {"identifier": "F11", "position": [3, 7], "step": 68, "ordinal_position": 69}, {"identifier": "H53", "position": [3, 8], "step": 69, "ordinal_position": 70}, {"identifier": "B35", "position": [3, 9], "step": 70, "ordinal_position": 71}, {"identifier": "H82", "position": [2, 9], "step": 71, "ordinal_position": 72}, {"identifier": "W42", "position": [1, 9], "step": 72, "ordinal_position": 73}, {"identifier": "N62", "position": [1, 8], "step": 73, "ordinal_position": 74}, {"identifier": "B58", "position": [1, 7], "step": 74, "ordinal_position": 75}, {"identifier": "D29", "position": [2, 7], "step": 75, "ordinal_position": 76}, {"identifier": "F11", "position": [3, 7], "step": 76, "ordinal_position": 77}, {"identifier": "H53", "position": [3, 8], "step": 77, "ordinal_position": 78}, {"identifier": "B35", "position": [3, 9], "step": 78, "ordinal_position": 79}, {"identifier": "H82", "position": [2, 9], "step": 79, "ordinal_position": 80}, {"identifier": "W42", "position": [1, 9], "step": 80, "ordinal_position": 81}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 81, "direction": "down", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_000.json"}} {"qa_id": "88157d7f2dd345aea604e3c79adbda5b", "image_id": "L3-MazeLoop-test_11x11_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W57, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 123rd position in this traversal?", "start_object_id": "W57", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [123], "ordinal_strings": ["123rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "B58", "traversal_path": [{"identifier": "W57", "position": [9, 9], "step": 0, "ordinal_position": 1}, {"identifier": "M98", "position": [9, 8], "step": 1, "ordinal_position": 2}, {"identifier": "J08", "position": [9, 7], "step": 2, "ordinal_position": 3}, {"identifier": "G12", "position": [9, 6], "step": 3, "ordinal_position": 4}, {"identifier": "N32", "position": [9, 5], "step": 4, "ordinal_position": 5}, {"identifier": "L78", "position": [9, 4], "step": 5, "ordinal_position": 6}, {"identifier": "H75", "position": [9, 3], "step": 6, "ordinal_position": 7}, {"identifier": "W13", "position": [9, 2], "step": 7, "ordinal_position": 8}, {"identifier": "J77", "position": [9, 1], "step": 8, "ordinal_position": 9}, {"identifier": "L89", "position": [8, 1], "step": 9, "ordinal_position": 10}, {"identifier": "F83", "position": [7, 1], "step": 10, "ordinal_position": 11}, {"identifier": "U80", "position": [6, 1], "step": 11, "ordinal_position": 12}, {"identifier": "P76", "position": [5, 1], "step": 12, "ordinal_position": 13}, {"identifier": "Y06", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "W41", "position": [5, 3], "step": 14, "ordinal_position": 15}, {"identifier": "M34", "position": [4, 3], "step": 15, "ordinal_position": 16}, {"identifier": "Z09", "position": [3, 3], "step": 16, "ordinal_position": 17}, {"identifier": "X57", "position": [3, 2], "step": 17, "ordinal_position": 18}, {"identifier": "W14", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "S34", "position": [2, 1], "step": 19, "ordinal_position": 20}, {"identifier": "N10", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "H64", "position": [1, 2], "step": 21, "ordinal_position": 22}, {"identifier": "C57", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "D67", "position": [1, 4], "step": 23, "ordinal_position": 24}, {"identifier": "T51", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "Y42", "position": [2, 5], "step": 25, "ordinal_position": 26}, {"identifier": "L28", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "L92", "position": [3, 6], "step": 27, "ordinal_position": 28}, {"identifier": "F11", "position": [3, 7], "step": 28, "ordinal_position": 29}, {"identifier": "H53", "position": [3, 8], "step": 29, "ordinal_position": 30}, {"identifier": "B35", "position": [3, 9], "step": 30, "ordinal_position": 31}, {"identifier": "H82", "position": [2, 9], "step": 31, "ordinal_position": 32}, {"identifier": "W42", "position": [1, 9], "step": 32, "ordinal_position": 33}, {"identifier": "N62", "position": [1, 8], "step": 33, "ordinal_position": 34}, {"identifier": "B58", "position": [1, 7], "step": 34, "ordinal_position": 35}, {"identifier": "D29", "position": [2, 7], "step": 35, "ordinal_position": 36}, {"identifier": "F11", "position": [3, 7], "step": 36, "ordinal_position": 37}, {"identifier": "H53", "position": [3, 8], "step": 37, "ordinal_position": 38}, {"identifier": "B35", "position": [3, 9], "step": 38, "ordinal_position": 39}, {"identifier": "H82", "position": [2, 9], "step": 39, "ordinal_position": 40}, {"identifier": "W42", "position": [1, 9], "step": 40, "ordinal_position": 41}, {"identifier": "N62", "position": [1, 8], "step": 41, "ordinal_position": 42}, {"identifier": "B58", "position": [1, 7], "step": 42, "ordinal_position": 43}, {"identifier": "D29", "position": [2, 7], "step": 43, "ordinal_position": 44}, {"identifier": "F11", "position": [3, 7], "step": 44, "ordinal_position": 45}, {"identifier": "H53", "position": [3, 8], "step": 45, "ordinal_position": 46}, {"identifier": "B35", "position": [3, 9], "step": 46, "ordinal_position": 47}, {"identifier": "H82", "position": [2, 9], "step": 47, "ordinal_position": 48}, {"identifier": "W42", "position": [1, 9], "step": 48, "ordinal_position": 49}, {"identifier": "N62", "position": [1, 8], "step": 49, "ordinal_position": 50}, {"identifier": "B58", "position": [1, 7], "step": 50, "ordinal_position": 51}, {"identifier": "D29", "position": [2, 7], "step": 51, "ordinal_position": 52}, {"identifier": "F11", "position": [3, 7], "step": 52, "ordinal_position": 53}, {"identifier": "H53", "position": [3, 8], "step": 53, "ordinal_position": 54}, {"identifier": "B35", "position": [3, 9], "step": 54, "ordinal_position": 55}, {"identifier": "H82", "position": [2, 9], "step": 55, "ordinal_position": 56}, {"identifier": "W42", "position": [1, 9], "step": 56, "ordinal_position": 57}, {"identifier": "N62", "position": [1, 8], "step": 57, "ordinal_position": 58}, {"identifier": "B58", "position": [1, 7], "step": 58, "ordinal_position": 59}, {"identifier": "D29", "position": [2, 7], "step": 59, "ordinal_position": 60}, {"identifier": "F11", "position": [3, 7], "step": 60, "ordinal_position": 61}, {"identifier": "H53", "position": [3, 8], "step": 61, "ordinal_position": 62}, {"identifier": "B35", "position": [3, 9], "step": 62, "ordinal_position": 63}, {"identifier": "H82", "position": [2, 9], "step": 63, "ordinal_position": 64}, {"identifier": "W42", "position": [1, 9], "step": 64, "ordinal_position": 65}, {"identifier": "N62", "position": [1, 8], "step": 65, "ordinal_position": 66}, {"identifier": "B58", "position": [1, 7], "step": 66, "ordinal_position": 67}, {"identifier": "D29", "position": [2, 7], "step": 67, "ordinal_position": 68}, {"identifier": "F11", "position": [3, 7], "step": 68, "ordinal_position": 69}, {"identifier": "H53", "position": [3, 8], "step": 69, "ordinal_position": 70}, {"identifier": "B35", "position": [3, 9], "step": 70, "ordinal_position": 71}, {"identifier": "H82", "position": [2, 9], "step": 71, "ordinal_position": 72}, {"identifier": "W42", "position": [1, 9], "step": 72, "ordinal_position": 73}, {"identifier": "N62", "position": [1, 8], "step": 73, "ordinal_position": 74}, {"identifier": "B58", "position": [1, 7], "step": 74, "ordinal_position": 75}, {"identifier": "D29", "position": [2, 7], "step": 75, "ordinal_position": 76}, {"identifier": "F11", "position": [3, 7], "step": 76, "ordinal_position": 77}, {"identifier": "H53", "position": [3, 8], "step": 77, "ordinal_position": 78}, {"identifier": "B35", "position": [3, 9], "step": 78, "ordinal_position": 79}, {"identifier": "H82", "position": [2, 9], "step": 79, "ordinal_position": 80}, {"identifier": "W42", "position": [1, 9], "step": 80, "ordinal_position": 81}, {"identifier": "N62", "position": [1, 8], "step": 81, "ordinal_position": 82}, {"identifier": "B58", "position": [1, 7], "step": 82, "ordinal_position": 83}, {"identifier": "D29", "position": [2, 7], "step": 83, "ordinal_position": 84}, {"identifier": "F11", "position": [3, 7], "step": 84, "ordinal_position": 85}, {"identifier": "H53", "position": [3, 8], "step": 85, "ordinal_position": 86}, {"identifier": "B35", "position": [3, 9], "step": 86, "ordinal_position": 87}, {"identifier": "H82", "position": [2, 9], "step": 87, "ordinal_position": 88}, {"identifier": "W42", "position": [1, 9], "step": 88, "ordinal_position": 89}, {"identifier": "N62", "position": [1, 8], "step": 89, "ordinal_position": 90}, {"identifier": "B58", "position": [1, 7], "step": 90, "ordinal_position": 91}, {"identifier": "D29", "position": [2, 7], "step": 91, "ordinal_position": 92}, {"identifier": "F11", "position": [3, 7], "step": 92, "ordinal_position": 93}, {"identifier": "H53", "position": [3, 8], "step": 93, "ordinal_position": 94}, {"identifier": "B35", "position": [3, 9], "step": 94, "ordinal_position": 95}, {"identifier": "H82", "position": [2, 9], "step": 95, "ordinal_position": 96}, {"identifier": "W42", "position": [1, 9], "step": 96, "ordinal_position": 97}, {"identifier": "N62", "position": [1, 8], "step": 97, "ordinal_position": 98}, {"identifier": "B58", "position": [1, 7], "step": 98, "ordinal_position": 99}, {"identifier": "D29", "position": [2, 7], "step": 99, "ordinal_position": 100}, {"identifier": "F11", "position": [3, 7], "step": 100, "ordinal_position": 101}, {"identifier": "H53", "position": [3, 8], "step": 101, "ordinal_position": 102}, {"identifier": "B35", "position": [3, 9], "step": 102, "ordinal_position": 103}, {"identifier": "H82", "position": [2, 9], "step": 103, "ordinal_position": 104}, {"identifier": "W42", "position": [1, 9], "step": 104, "ordinal_position": 105}, {"identifier": "N62", "position": [1, 8], "step": 105, "ordinal_position": 106}, {"identifier": "B58", "position": [1, 7], "step": 106, "ordinal_position": 107}, {"identifier": "D29", "position": [2, 7], "step": 107, "ordinal_position": 108}, {"identifier": "F11", "position": [3, 7], "step": 108, "ordinal_position": 109}, {"identifier": "H53", "position": [3, 8], "step": 109, "ordinal_position": 110}, {"identifier": "B35", "position": [3, 9], "step": 110, "ordinal_position": 111}, {"identifier": "H82", "position": [2, 9], "step": 111, "ordinal_position": 112}, {"identifier": "W42", "position": [1, 9], "step": 112, "ordinal_position": 113}, {"identifier": "N62", "position": [1, 8], "step": 113, "ordinal_position": 114}, {"identifier": "B58", "position": [1, 7], "step": 114, "ordinal_position": 115}, {"identifier": "D29", "position": [2, 7], "step": 115, "ordinal_position": 116}, {"identifier": "F11", "position": [3, 7], "step": 116, "ordinal_position": 117}, {"identifier": "H53", "position": [3, 8], "step": 117, "ordinal_position": 118}, {"identifier": "B35", "position": [3, 9], "step": 118, "ordinal_position": 119}, {"identifier": "H82", "position": [2, 9], "step": 119, "ordinal_position": 120}, {"identifier": "W42", "position": [1, 9], "step": 120, "ordinal_position": 121}, {"identifier": "N62", "position": [1, 8], "step": 121, "ordinal_position": 122}, {"identifier": "B58", "position": [1, 7], "step": 122, "ordinal_position": 123}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 123, "direction": "up", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_000.json"}} {"qa_id": "3233c6450836421f9384ad0e2f58021a", "image_id": "L3-MazeLoop-test_11x11_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J91, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 201st position in this traversal?", "start_object_id": "J91", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [201], "ordinal_strings": ["201st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "X57", "traversal_path": [{"identifier": "J91", "position": [4, 9], "step": 0, "ordinal_position": 1}, {"identifier": "B35", "position": [3, 9], "step": 1, "ordinal_position": 2}, {"identifier": "H82", "position": [2, 9], "step": 2, "ordinal_position": 3}, {"identifier": "W42", "position": [1, 9], "step": 3, "ordinal_position": 4}, {"identifier": "N62", "position": [1, 8], "step": 4, "ordinal_position": 5}, {"identifier": "B58", "position": [1, 7], "step": 5, "ordinal_position": 6}, {"identifier": "D29", "position": [2, 7], "step": 6, "ordinal_position": 7}, {"identifier": "F11", "position": [3, 7], "step": 7, "ordinal_position": 8}, {"identifier": "L92", "position": [3, 6], "step": 8, "ordinal_position": 9}, {"identifier": "L28", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "Y42", "position": [2, 5], "step": 10, "ordinal_position": 11}, {"identifier": "T51", "position": [1, 5], "step": 11, "ordinal_position": 12}, {"identifier": "D67", "position": [1, 4], "step": 12, "ordinal_position": 13}, {"identifier": "C57", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "H64", "position": [1, 2], "step": 14, "ordinal_position": 15}, {"identifier": "N10", "position": [1, 1], "step": 15, "ordinal_position": 16}, {"identifier": "S34", "position": [2, 1], "step": 16, "ordinal_position": 17}, {"identifier": "W14", "position": [3, 1], "step": 17, "ordinal_position": 18}, {"identifier": "X57", "position": [3, 2], "step": 18, "ordinal_position": 19}, {"identifier": "Z09", "position": [3, 3], "step": 19, "ordinal_position": 20}, {"identifier": "M34", "position": [4, 3], "step": 20, "ordinal_position": 21}, {"identifier": "W41", "position": [5, 3], "step": 21, "ordinal_position": 22}, {"identifier": "Y06", "position": [5, 2], "step": 22, "ordinal_position": 23}, {"identifier": "P76", "position": [5, 1], "step": 23, "ordinal_position": 24}, {"identifier": "U80", "position": [6, 1], "step": 24, "ordinal_position": 25}, {"identifier": "F83", "position": [7, 1], "step": 25, "ordinal_position": 26}, {"identifier": "L89", "position": [8, 1], "step": 26, "ordinal_position": 27}, {"identifier": "J77", "position": [9, 1], "step": 27, "ordinal_position": 28}, {"identifier": "W13", "position": [9, 2], "step": 28, "ordinal_position": 29}, {"identifier": "H75", "position": [9, 3], "step": 29, "ordinal_position": 30}, {"identifier": "L78", "position": [9, 4], "step": 30, "ordinal_position": 31}, {"identifier": "N32", "position": [9, 5], "step": 31, "ordinal_position": 32}, {"identifier": "G12", "position": [9, 6], "step": 32, "ordinal_position": 33}, {"identifier": "J08", "position": [9, 7], "step": 33, "ordinal_position": 34}, {"identifier": "M98", "position": [9, 8], "step": 34, "ordinal_position": 35}, {"identifier": "W57", "position": [9, 9], "step": 35, "ordinal_position": 36}, {"identifier": "D75", "position": [8, 9], "step": 36, "ordinal_position": 37}, {"identifier": "D73", "position": [7, 9], "step": 37, "ordinal_position": 38}, {"identifier": "I32", "position": [7, 8], "step": 38, "ordinal_position": 39}, {"identifier": "W24", "position": [7, 7], "step": 39, "ordinal_position": 40}, {"identifier": "K65", "position": [8, 7], "step": 40, "ordinal_position": 41}, {"identifier": "J08", "position": [9, 7], "step": 41, "ordinal_position": 42}, {"identifier": "G12", "position": [9, 6], "step": 42, "ordinal_position": 43}, {"identifier": "N32", "position": [9, 5], "step": 43, "ordinal_position": 44}, {"identifier": "L78", "position": [9, 4], "step": 44, "ordinal_position": 45}, {"identifier": "H75", "position": [9, 3], "step": 45, "ordinal_position": 46}, {"identifier": "W13", "position": [9, 2], "step": 46, "ordinal_position": 47}, {"identifier": "J77", "position": [9, 1], "step": 47, "ordinal_position": 48}, {"identifier": "L89", "position": [8, 1], "step": 48, "ordinal_position": 49}, {"identifier": "F83", "position": [7, 1], "step": 49, "ordinal_position": 50}, {"identifier": "U80", "position": [6, 1], "step": 50, "ordinal_position": 51}, {"identifier": "P76", "position": [5, 1], "step": 51, "ordinal_position": 52}, {"identifier": "Y06", "position": [5, 2], "step": 52, "ordinal_position": 53}, {"identifier": "W41", "position": [5, 3], "step": 53, "ordinal_position": 54}, {"identifier": "M34", "position": [4, 3], "step": 54, "ordinal_position": 55}, {"identifier": "Z09", "position": [3, 3], "step": 55, "ordinal_position": 56}, {"identifier": "X57", "position": [3, 2], "step": 56, "ordinal_position": 57}, {"identifier": "W14", "position": [3, 1], "step": 57, "ordinal_position": 58}, {"identifier": "S34", "position": [2, 1], "step": 58, "ordinal_position": 59}, {"identifier": "N10", "position": [1, 1], "step": 59, "ordinal_position": 60}, {"identifier": "H64", "position": [1, 2], "step": 60, "ordinal_position": 61}, {"identifier": "C57", "position": [1, 3], "step": 61, "ordinal_position": 62}, {"identifier": "D67", "position": [1, 4], "step": 62, "ordinal_position": 63}, {"identifier": "T51", "position": [1, 5], "step": 63, "ordinal_position": 64}, {"identifier": "Y42", "position": [2, 5], "step": 64, "ordinal_position": 65}, {"identifier": "L28", "position": [3, 5], "step": 65, "ordinal_position": 66}, {"identifier": "L92", "position": [3, 6], "step": 66, "ordinal_position": 67}, {"identifier": "F11", "position": [3, 7], "step": 67, "ordinal_position": 68}, {"identifier": "H53", "position": [3, 8], "step": 68, "ordinal_position": 69}, {"identifier": "B35", "position": [3, 9], "step": 69, "ordinal_position": 70}, {"identifier": "J91", "position": [4, 9], "step": 70, "ordinal_position": 71}, {"identifier": "V48", "position": [5, 9], "step": 71, "ordinal_position": 72}, {"identifier": "X24", "position": [5, 8], "step": 72, "ordinal_position": 73}, {"identifier": "U04", "position": [5, 7], "step": 73, "ordinal_position": 74}, {"identifier": "C82", "position": [5, 6], "step": 74, "ordinal_position": 75}, {"identifier": "F33", "position": [5, 5], "step": 75, "ordinal_position": 76}, {"identifier": "Q02", "position": [6, 5], "step": 76, "ordinal_position": 77}, {"identifier": "S22", "position": [7, 5], "step": 77, "ordinal_position": 78}, {"identifier": "E46", "position": [7, 4], "step": 78, "ordinal_position": 79}, {"identifier": "D28", "position": [7, 3], "step": 79, "ordinal_position": 80}, {"identifier": "Y70", "position": [8, 3], "step": 80, "ordinal_position": 81}, {"identifier": "H75", "position": [9, 3], "step": 81, "ordinal_position": 82}, {"identifier": "W13", "position": [9, 2], "step": 82, "ordinal_position": 83}, {"identifier": "J77", "position": [9, 1], "step": 83, "ordinal_position": 84}, {"identifier": "L89", "position": [8, 1], "step": 84, "ordinal_position": 85}, {"identifier": "F83", "position": [7, 1], "step": 85, "ordinal_position": 86}, {"identifier": "U80", "position": [6, 1], "step": 86, "ordinal_position": 87}, {"identifier": "P76", "position": [5, 1], "step": 87, "ordinal_position": 88}, {"identifier": "Y06", "position": [5, 2], "step": 88, "ordinal_position": 89}, {"identifier": "W41", "position": [5, 3], "step": 89, "ordinal_position": 90}, {"identifier": "M34", "position": [4, 3], "step": 90, "ordinal_position": 91}, {"identifier": "Z09", "position": [3, 3], "step": 91, "ordinal_position": 92}, {"identifier": "X57", "position": [3, 2], "step": 92, "ordinal_position": 93}, {"identifier": "W14", "position": [3, 1], "step": 93, "ordinal_position": 94}, {"identifier": "S34", "position": [2, 1], "step": 94, "ordinal_position": 95}, {"identifier": "N10", "position": [1, 1], "step": 95, "ordinal_position": 96}, {"identifier": "H64", "position": [1, 2], "step": 96, "ordinal_position": 97}, {"identifier": "C57", "position": [1, 3], "step": 97, "ordinal_position": 98}, {"identifier": "D67", "position": [1, 4], "step": 98, "ordinal_position": 99}, {"identifier": "T51", "position": [1, 5], "step": 99, "ordinal_position": 100}, {"identifier": "Y42", "position": [2, 5], "step": 100, "ordinal_position": 101}, {"identifier": "L28", "position": [3, 5], "step": 101, "ordinal_position": 102}, {"identifier": "L92", "position": [3, 6], "step": 102, "ordinal_position": 103}, {"identifier": "F11", "position": [3, 7], "step": 103, "ordinal_position": 104}, {"identifier": "H53", "position": [3, 8], "step": 104, "ordinal_position": 105}, {"identifier": "B35", "position": [3, 9], "step": 105, "ordinal_position": 106}, {"identifier": "J91", "position": [4, 9], "step": 106, "ordinal_position": 107}, {"identifier": "V48", "position": [5, 9], "step": 107, "ordinal_position": 108}, {"identifier": "X24", "position": [5, 8], "step": 108, "ordinal_position": 109}, {"identifier": "U04", "position": [5, 7], "step": 109, "ordinal_position": 110}, {"identifier": "C82", "position": [5, 6], "step": 110, "ordinal_position": 111}, {"identifier": "F33", "position": [5, 5], "step": 111, "ordinal_position": 112}, {"identifier": "Q02", "position": [6, 5], "step": 112, "ordinal_position": 113}, {"identifier": "S22", "position": [7, 5], "step": 113, "ordinal_position": 114}, {"identifier": "E46", "position": [7, 4], "step": 114, "ordinal_position": 115}, {"identifier": "D28", "position": [7, 3], "step": 115, "ordinal_position": 116}, {"identifier": "Y70", "position": [8, 3], "step": 116, "ordinal_position": 117}, {"identifier": "H75", "position": [9, 3], "step": 117, "ordinal_position": 118}, {"identifier": "W13", "position": [9, 2], "step": 118, "ordinal_position": 119}, {"identifier": "J77", "position": [9, 1], "step": 119, "ordinal_position": 120}, {"identifier": "L89", "position": [8, 1], "step": 120, "ordinal_position": 121}, {"identifier": "F83", "position": [7, 1], "step": 121, "ordinal_position": 122}, {"identifier": "U80", "position": [6, 1], "step": 122, "ordinal_position": 123}, {"identifier": "P76", "position": [5, 1], "step": 123, "ordinal_position": 124}, {"identifier": "Y06", "position": [5, 2], "step": 124, "ordinal_position": 125}, {"identifier": "W41", "position": [5, 3], "step": 125, "ordinal_position": 126}, {"identifier": "M34", "position": [4, 3], "step": 126, "ordinal_position": 127}, {"identifier": "Z09", "position": [3, 3], "step": 127, "ordinal_position": 128}, {"identifier": "X57", "position": [3, 2], "step": 128, "ordinal_position": 129}, {"identifier": "W14", "position": [3, 1], "step": 129, "ordinal_position": 130}, {"identifier": "S34", "position": [2, 1], "step": 130, "ordinal_position": 131}, {"identifier": "N10", "position": [1, 1], "step": 131, "ordinal_position": 132}, {"identifier": "H64", "position": [1, 2], "step": 132, "ordinal_position": 133}, {"identifier": "C57", "position": [1, 3], "step": 133, "ordinal_position": 134}, {"identifier": "D67", "position": [1, 4], "step": 134, "ordinal_position": 135}, {"identifier": "T51", "position": [1, 5], "step": 135, "ordinal_position": 136}, {"identifier": "Y42", "position": [2, 5], "step": 136, "ordinal_position": 137}, {"identifier": "L28", "position": [3, 5], "step": 137, "ordinal_position": 138}, {"identifier": "L92", "position": [3, 6], "step": 138, "ordinal_position": 139}, {"identifier": "F11", "position": [3, 7], "step": 139, "ordinal_position": 140}, {"identifier": "H53", "position": [3, 8], "step": 140, "ordinal_position": 141}, {"identifier": "B35", "position": [3, 9], "step": 141, "ordinal_position": 142}, {"identifier": "J91", "position": [4, 9], "step": 142, "ordinal_position": 143}, {"identifier": "V48", "position": [5, 9], "step": 143, "ordinal_position": 144}, {"identifier": "X24", "position": [5, 8], "step": 144, "ordinal_position": 145}, {"identifier": "U04", "position": [5, 7], "step": 145, "ordinal_position": 146}, {"identifier": "C82", "position": [5, 6], "step": 146, "ordinal_position": 147}, {"identifier": "F33", "position": [5, 5], "step": 147, "ordinal_position": 148}, {"identifier": "Q02", "position": [6, 5], "step": 148, "ordinal_position": 149}, {"identifier": "S22", "position": [7, 5], "step": 149, "ordinal_position": 150}, {"identifier": "E46", "position": [7, 4], "step": 150, "ordinal_position": 151}, {"identifier": "D28", "position": [7, 3], "step": 151, "ordinal_position": 152}, {"identifier": "Y70", "position": [8, 3], "step": 152, "ordinal_position": 153}, {"identifier": "H75", "position": [9, 3], "step": 153, "ordinal_position": 154}, {"identifier": "W13", "position": [9, 2], "step": 154, "ordinal_position": 155}, {"identifier": "J77", "position": [9, 1], "step": 155, "ordinal_position": 156}, {"identifier": "L89", "position": [8, 1], "step": 156, "ordinal_position": 157}, {"identifier": "F83", "position": [7, 1], "step": 157, "ordinal_position": 158}, {"identifier": "U80", "position": [6, 1], "step": 158, "ordinal_position": 159}, {"identifier": "P76", "position": [5, 1], "step": 159, "ordinal_position": 160}, {"identifier": "Y06", "position": [5, 2], "step": 160, "ordinal_position": 161}, {"identifier": "W41", "position": [5, 3], "step": 161, "ordinal_position": 162}, {"identifier": "M34", "position": [4, 3], "step": 162, "ordinal_position": 163}, {"identifier": "Z09", "position": [3, 3], "step": 163, "ordinal_position": 164}, {"identifier": "X57", "position": [3, 2], "step": 164, "ordinal_position": 165}, {"identifier": "W14", "position": [3, 1], "step": 165, "ordinal_position": 166}, {"identifier": "S34", "position": [2, 1], "step": 166, "ordinal_position": 167}, {"identifier": "N10", "position": [1, 1], "step": 167, "ordinal_position": 168}, {"identifier": "H64", "position": [1, 2], "step": 168, "ordinal_position": 169}, {"identifier": "C57", "position": [1, 3], "step": 169, "ordinal_position": 170}, {"identifier": "D67", "position": [1, 4], "step": 170, "ordinal_position": 171}, {"identifier": "T51", "position": [1, 5], "step": 171, "ordinal_position": 172}, {"identifier": "Y42", "position": [2, 5], "step": 172, "ordinal_position": 173}, {"identifier": "L28", "position": [3, 5], "step": 173, "ordinal_position": 174}, {"identifier": "L92", "position": [3, 6], "step": 174, "ordinal_position": 175}, {"identifier": "F11", "position": [3, 7], "step": 175, "ordinal_position": 176}, {"identifier": "H53", "position": [3, 8], "step": 176, "ordinal_position": 177}, {"identifier": "B35", "position": [3, 9], "step": 177, "ordinal_position": 178}, {"identifier": "J91", "position": [4, 9], "step": 178, "ordinal_position": 179}, {"identifier": "V48", "position": [5, 9], "step": 179, "ordinal_position": 180}, {"identifier": "X24", "position": [5, 8], "step": 180, "ordinal_position": 181}, {"identifier": "U04", "position": [5, 7], "step": 181, "ordinal_position": 182}, {"identifier": "C82", "position": [5, 6], "step": 182, "ordinal_position": 183}, {"identifier": "F33", "position": [5, 5], "step": 183, "ordinal_position": 184}, {"identifier": "Q02", "position": [6, 5], "step": 184, "ordinal_position": 185}, {"identifier": "S22", "position": [7, 5], "step": 185, "ordinal_position": 186}, {"identifier": "E46", "position": [7, 4], "step": 186, "ordinal_position": 187}, {"identifier": "D28", "position": [7, 3], "step": 187, "ordinal_position": 188}, {"identifier": "Y70", "position": [8, 3], "step": 188, "ordinal_position": 189}, {"identifier": "H75", "position": [9, 3], "step": 189, "ordinal_position": 190}, {"identifier": "W13", "position": [9, 2], "step": 190, "ordinal_position": 191}, {"identifier": "J77", "position": [9, 1], "step": 191, "ordinal_position": 192}, {"identifier": "L89", "position": [8, 1], "step": 192, "ordinal_position": 193}, {"identifier": "F83", "position": [7, 1], "step": 193, "ordinal_position": 194}, {"identifier": "U80", "position": [6, 1], "step": 194, "ordinal_position": 195}, {"identifier": "P76", "position": [5, 1], "step": 195, "ordinal_position": 196}, {"identifier": "Y06", "position": [5, 2], "step": 196, "ordinal_position": 197}, {"identifier": "W41", "position": [5, 3], "step": 197, "ordinal_position": 198}, {"identifier": "M34", "position": [4, 3], "step": 198, "ordinal_position": 199}, {"identifier": "Z09", "position": [3, 3], "step": 199, "ordinal_position": 200}, {"identifier": "X57", "position": [3, 2], "step": 200, "ordinal_position": 201}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 201, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_000.json"}} {"qa_id": "7aa55ba107504fe995c3cb952058ee22", "image_id": "L3-MazeLoop-test_11x11_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H82, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 113th position in this traversal?", "start_object_id": "H82", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [113], "ordinal_strings": ["113th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "E46", "traversal_path": [{"identifier": "H82", "position": [2, 9], "step": 0, "ordinal_position": 1}, {"identifier": "W42", "position": [1, 9], "step": 1, "ordinal_position": 2}, {"identifier": "N62", "position": [1, 8], "step": 2, "ordinal_position": 3}, {"identifier": "B58", "position": [1, 7], "step": 3, "ordinal_position": 4}, {"identifier": "D29", "position": [2, 7], "step": 4, "ordinal_position": 5}, {"identifier": "F11", "position": [3, 7], "step": 5, "ordinal_position": 6}, {"identifier": "L92", "position": [3, 6], "step": 6, "ordinal_position": 7}, {"identifier": "L28", "position": [3, 5], "step": 7, "ordinal_position": 8}, {"identifier": "Y42", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "T51", "position": [1, 5], "step": 9, "ordinal_position": 10}, {"identifier": "D67", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "C57", "position": [1, 3], "step": 11, "ordinal_position": 12}, {"identifier": "H64", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "N10", "position": [1, 1], "step": 13, "ordinal_position": 14}, {"identifier": "S34", "position": [2, 1], "step": 14, "ordinal_position": 15}, {"identifier": "W14", "position": [3, 1], "step": 15, "ordinal_position": 16}, {"identifier": "X57", "position": [3, 2], "step": 16, "ordinal_position": 17}, {"identifier": "Z09", "position": [3, 3], "step": 17, "ordinal_position": 18}, {"identifier": "M34", "position": [4, 3], "step": 18, "ordinal_position": 19}, {"identifier": "W41", "position": [5, 3], "step": 19, "ordinal_position": 20}, {"identifier": "Y06", "position": [5, 2], "step": 20, "ordinal_position": 21}, {"identifier": "P76", "position": [5, 1], "step": 21, "ordinal_position": 22}, {"identifier": "U80", "position": [6, 1], "step": 22, "ordinal_position": 23}, {"identifier": "F83", "position": [7, 1], "step": 23, "ordinal_position": 24}, {"identifier": "L89", "position": [8, 1], "step": 24, "ordinal_position": 25}, {"identifier": "J77", "position": [9, 1], "step": 25, "ordinal_position": 26}, {"identifier": "W13", "position": [9, 2], "step": 26, "ordinal_position": 27}, {"identifier": "H75", "position": [9, 3], "step": 27, "ordinal_position": 28}, {"identifier": "L78", "position": [9, 4], "step": 28, "ordinal_position": 29}, {"identifier": "N32", "position": [9, 5], "step": 29, "ordinal_position": 30}, {"identifier": "G12", "position": [9, 6], "step": 30, "ordinal_position": 31}, {"identifier": "J08", "position": [9, 7], "step": 31, "ordinal_position": 32}, {"identifier": "M98", "position": [9, 8], "step": 32, "ordinal_position": 33}, {"identifier": "W57", "position": [9, 9], "step": 33, "ordinal_position": 34}, {"identifier": "D75", "position": [8, 9], "step": 34, "ordinal_position": 35}, {"identifier": "D73", "position": [7, 9], "step": 35, "ordinal_position": 36}, {"identifier": "I32", "position": [7, 8], "step": 36, "ordinal_position": 37}, {"identifier": "W24", "position": [7, 7], "step": 37, "ordinal_position": 38}, {"identifier": "K65", "position": [8, 7], "step": 38, "ordinal_position": 39}, {"identifier": "J08", "position": [9, 7], "step": 39, "ordinal_position": 40}, {"identifier": "G12", "position": [9, 6], "step": 40, "ordinal_position": 41}, {"identifier": "N32", "position": [9, 5], "step": 41, "ordinal_position": 42}, {"identifier": "L78", "position": [9, 4], "step": 42, "ordinal_position": 43}, {"identifier": "H75", "position": [9, 3], "step": 43, "ordinal_position": 44}, {"identifier": "W13", "position": [9, 2], "step": 44, "ordinal_position": 45}, {"identifier": "J77", "position": [9, 1], "step": 45, "ordinal_position": 46}, {"identifier": "L89", "position": [8, 1], "step": 46, "ordinal_position": 47}, {"identifier": "F83", "position": [7, 1], "step": 47, "ordinal_position": 48}, {"identifier": "U80", "position": [6, 1], "step": 48, "ordinal_position": 49}, {"identifier": "P76", "position": [5, 1], "step": 49, "ordinal_position": 50}, {"identifier": "Y06", "position": [5, 2], "step": 50, "ordinal_position": 51}, {"identifier": "W41", "position": [5, 3], "step": 51, "ordinal_position": 52}, {"identifier": "M34", "position": [4, 3], "step": 52, "ordinal_position": 53}, {"identifier": "Z09", "position": [3, 3], "step": 53, "ordinal_position": 54}, {"identifier": "X57", "position": [3, 2], "step": 54, "ordinal_position": 55}, {"identifier": "W14", "position": [3, 1], "step": 55, "ordinal_position": 56}, {"identifier": "S34", "position": [2, 1], "step": 56, "ordinal_position": 57}, {"identifier": "N10", "position": [1, 1], "step": 57, "ordinal_position": 58}, {"identifier": "H64", "position": [1, 2], "step": 58, "ordinal_position": 59}, {"identifier": "C57", "position": [1, 3], "step": 59, "ordinal_position": 60}, {"identifier": "D67", "position": [1, 4], "step": 60, "ordinal_position": 61}, {"identifier": "T51", "position": [1, 5], "step": 61, "ordinal_position": 62}, {"identifier": "Y42", "position": [2, 5], "step": 62, "ordinal_position": 63}, {"identifier": "L28", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "L92", "position": [3, 6], "step": 64, "ordinal_position": 65}, {"identifier": "F11", "position": [3, 7], "step": 65, "ordinal_position": 66}, {"identifier": "H53", "position": [3, 8], "step": 66, "ordinal_position": 67}, {"identifier": "B35", "position": [3, 9], "step": 67, "ordinal_position": 68}, {"identifier": "J91", "position": [4, 9], "step": 68, "ordinal_position": 69}, {"identifier": "V48", "position": [5, 9], "step": 69, "ordinal_position": 70}, {"identifier": "X24", "position": [5, 8], "step": 70, "ordinal_position": 71}, {"identifier": "U04", "position": [5, 7], "step": 71, "ordinal_position": 72}, {"identifier": "C82", "position": [5, 6], "step": 72, "ordinal_position": 73}, {"identifier": "F33", "position": [5, 5], "step": 73, "ordinal_position": 74}, {"identifier": "Q02", "position": [6, 5], "step": 74, "ordinal_position": 75}, {"identifier": "S22", "position": [7, 5], "step": 75, "ordinal_position": 76}, {"identifier": "E46", "position": [7, 4], "step": 76, "ordinal_position": 77}, {"identifier": "D28", "position": [7, 3], "step": 77, "ordinal_position": 78}, {"identifier": "Y70", "position": [8, 3], "step": 78, "ordinal_position": 79}, {"identifier": "H75", "position": [9, 3], "step": 79, "ordinal_position": 80}, {"identifier": "W13", "position": [9, 2], "step": 80, "ordinal_position": 81}, {"identifier": "J77", "position": [9, 1], "step": 81, "ordinal_position": 82}, {"identifier": "L89", "position": [8, 1], "step": 82, "ordinal_position": 83}, {"identifier": "F83", "position": [7, 1], "step": 83, "ordinal_position": 84}, {"identifier": "U80", "position": [6, 1], "step": 84, "ordinal_position": 85}, {"identifier": "P76", "position": [5, 1], "step": 85, "ordinal_position": 86}, {"identifier": "Y06", "position": [5, 2], "step": 86, "ordinal_position": 87}, {"identifier": "W41", "position": [5, 3], "step": 87, "ordinal_position": 88}, {"identifier": "M34", "position": [4, 3], "step": 88, "ordinal_position": 89}, {"identifier": "Z09", "position": [3, 3], "step": 89, "ordinal_position": 90}, {"identifier": "X57", "position": [3, 2], "step": 90, "ordinal_position": 91}, {"identifier": "W14", "position": [3, 1], "step": 91, "ordinal_position": 92}, {"identifier": "S34", "position": [2, 1], "step": 92, "ordinal_position": 93}, {"identifier": "N10", "position": [1, 1], "step": 93, "ordinal_position": 94}, {"identifier": "H64", "position": [1, 2], "step": 94, "ordinal_position": 95}, {"identifier": "C57", "position": [1, 3], "step": 95, "ordinal_position": 96}, {"identifier": "D67", "position": [1, 4], "step": 96, "ordinal_position": 97}, {"identifier": "T51", "position": [1, 5], "step": 97, "ordinal_position": 98}, {"identifier": "Y42", "position": [2, 5], "step": 98, "ordinal_position": 99}, {"identifier": "L28", "position": [3, 5], "step": 99, "ordinal_position": 100}, {"identifier": "L92", "position": [3, 6], "step": 100, "ordinal_position": 101}, {"identifier": "F11", "position": [3, 7], "step": 101, "ordinal_position": 102}, {"identifier": "H53", "position": [3, 8], "step": 102, "ordinal_position": 103}, {"identifier": "B35", "position": [3, 9], "step": 103, "ordinal_position": 104}, {"identifier": "J91", "position": [4, 9], "step": 104, "ordinal_position": 105}, {"identifier": "V48", "position": [5, 9], "step": 105, "ordinal_position": 106}, {"identifier": "X24", "position": [5, 8], "step": 106, "ordinal_position": 107}, {"identifier": "U04", "position": [5, 7], "step": 107, "ordinal_position": 108}, {"identifier": "C82", "position": [5, 6], "step": 108, "ordinal_position": 109}, {"identifier": "F33", "position": [5, 5], "step": 109, "ordinal_position": 110}, {"identifier": "Q02", "position": [6, 5], "step": 110, "ordinal_position": 111}, {"identifier": "S22", "position": [7, 5], "step": 111, "ordinal_position": 112}, {"identifier": "E46", "position": [7, 4], "step": 112, "ordinal_position": 113}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 113, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_000.json"}} {"qa_id": "ac6a81ea75634a2ea3e73b9125a9934f", "image_id": "L3-MazeLoop-test_11x11_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H64, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 265th position in this traversal?", "start_object_id": "H64", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [265], "ordinal_strings": ["265th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "D67", "traversal_path": [{"identifier": "H64", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "N10", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "S34", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "W14", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "X57", "position": [3, 2], "step": 4, "ordinal_position": 5}, {"identifier": "Z09", "position": [3, 3], "step": 5, "ordinal_position": 6}, {"identifier": "M34", "position": [4, 3], "step": 6, "ordinal_position": 7}, {"identifier": "W41", "position": [5, 3], "step": 7, "ordinal_position": 8}, {"identifier": "Y06", "position": [5, 2], "step": 8, "ordinal_position": 9}, {"identifier": "P76", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "U80", "position": [6, 1], "step": 10, "ordinal_position": 11}, {"identifier": "F83", "position": [7, 1], "step": 11, "ordinal_position": 12}, {"identifier": "L89", "position": [8, 1], "step": 12, "ordinal_position": 13}, {"identifier": "J77", "position": [9, 1], "step": 13, "ordinal_position": 14}, {"identifier": "W13", "position": [9, 2], "step": 14, "ordinal_position": 15}, {"identifier": "H75", "position": [9, 3], "step": 15, "ordinal_position": 16}, {"identifier": "L78", "position": [9, 4], "step": 16, "ordinal_position": 17}, {"identifier": "N32", "position": [9, 5], "step": 17, "ordinal_position": 18}, {"identifier": "G12", "position": [9, 6], "step": 18, "ordinal_position": 19}, {"identifier": "J08", "position": [9, 7], "step": 19, "ordinal_position": 20}, {"identifier": "M98", "position": [9, 8], "step": 20, "ordinal_position": 21}, {"identifier": "W57", "position": [9, 9], "step": 21, "ordinal_position": 22}, {"identifier": "D75", "position": [8, 9], "step": 22, "ordinal_position": 23}, {"identifier": "D73", "position": [7, 9], "step": 23, "ordinal_position": 24}, {"identifier": "I32", "position": [7, 8], "step": 24, "ordinal_position": 25}, {"identifier": "W24", "position": [7, 7], "step": 25, "ordinal_position": 26}, {"identifier": "K65", "position": [8, 7], "step": 26, "ordinal_position": 27}, {"identifier": "J08", "position": [9, 7], "step": 27, "ordinal_position": 28}, {"identifier": "G12", "position": [9, 6], "step": 28, "ordinal_position": 29}, {"identifier": "N32", "position": [9, 5], "step": 29, "ordinal_position": 30}, {"identifier": "L78", "position": [9, 4], "step": 30, "ordinal_position": 31}, {"identifier": "H75", "position": [9, 3], "step": 31, "ordinal_position": 32}, {"identifier": "W13", "position": [9, 2], "step": 32, "ordinal_position": 33}, {"identifier": "J77", "position": [9, 1], "step": 33, "ordinal_position": 34}, {"identifier": "L89", "position": [8, 1], "step": 34, "ordinal_position": 35}, {"identifier": "F83", "position": [7, 1], "step": 35, "ordinal_position": 36}, {"identifier": "U80", "position": [6, 1], "step": 36, "ordinal_position": 37}, {"identifier": "P76", "position": [5, 1], "step": 37, "ordinal_position": 38}, {"identifier": "Y06", "position": [5, 2], "step": 38, "ordinal_position": 39}, {"identifier": "W41", "position": [5, 3], "step": 39, "ordinal_position": 40}, {"identifier": "M34", "position": [4, 3], "step": 40, "ordinal_position": 41}, {"identifier": "Z09", "position": [3, 3], "step": 41, "ordinal_position": 42}, {"identifier": "X57", "position": [3, 2], "step": 42, "ordinal_position": 43}, {"identifier": "W14", "position": [3, 1], "step": 43, "ordinal_position": 44}, {"identifier": "S34", "position": [2, 1], "step": 44, "ordinal_position": 45}, {"identifier": "N10", "position": [1, 1], "step": 45, "ordinal_position": 46}, {"identifier": "H64", "position": [1, 2], "step": 46, "ordinal_position": 47}, {"identifier": "C57", "position": [1, 3], "step": 47, "ordinal_position": 48}, {"identifier": "D67", "position": [1, 4], "step": 48, "ordinal_position": 49}, {"identifier": "T51", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "Y42", "position": [2, 5], "step": 50, "ordinal_position": 51}, {"identifier": "L28", "position": [3, 5], "step": 51, "ordinal_position": 52}, {"identifier": "L92", "position": [3, 6], "step": 52, "ordinal_position": 53}, {"identifier": "F11", "position": [3, 7], "step": 53, "ordinal_position": 54}, {"identifier": "H53", "position": [3, 8], "step": 54, "ordinal_position": 55}, {"identifier": "B35", "position": [3, 9], "step": 55, "ordinal_position": 56}, {"identifier": "J91", "position": [4, 9], "step": 56, "ordinal_position": 57}, {"identifier": "V48", "position": [5, 9], "step": 57, "ordinal_position": 58}, {"identifier": "X24", "position": [5, 8], "step": 58, "ordinal_position": 59}, {"identifier": "U04", "position": [5, 7], "step": 59, "ordinal_position": 60}, {"identifier": "C82", "position": [5, 6], "step": 60, "ordinal_position": 61}, {"identifier": "F33", "position": [5, 5], "step": 61, "ordinal_position": 62}, {"identifier": "Q02", "position": [6, 5], "step": 62, "ordinal_position": 63}, {"identifier": "S22", "position": [7, 5], "step": 63, "ordinal_position": 64}, {"identifier": "E46", "position": [7, 4], "step": 64, "ordinal_position": 65}, {"identifier": "D28", "position": [7, 3], "step": 65, "ordinal_position": 66}, {"identifier": "Y70", "position": [8, 3], "step": 66, "ordinal_position": 67}, {"identifier": "H75", "position": [9, 3], "step": 67, "ordinal_position": 68}, {"identifier": "W13", "position": [9, 2], "step": 68, "ordinal_position": 69}, {"identifier": "J77", "position": [9, 1], "step": 69, "ordinal_position": 70}, {"identifier": "L89", "position": [8, 1], "step": 70, "ordinal_position": 71}, {"identifier": "F83", "position": [7, 1], "step": 71, "ordinal_position": 72}, {"identifier": "U80", "position": [6, 1], "step": 72, "ordinal_position": 73}, {"identifier": "P76", "position": [5, 1], "step": 73, "ordinal_position": 74}, {"identifier": "Y06", "position": [5, 2], "step": 74, "ordinal_position": 75}, {"identifier": "W41", "position": [5, 3], "step": 75, "ordinal_position": 76}, {"identifier": "M34", "position": [4, 3], "step": 76, "ordinal_position": 77}, {"identifier": "Z09", "position": [3, 3], "step": 77, "ordinal_position": 78}, {"identifier": "X57", "position": [3, 2], "step": 78, "ordinal_position": 79}, {"identifier": "W14", "position": [3, 1], "step": 79, "ordinal_position": 80}, {"identifier": "S34", "position": [2, 1], "step": 80, "ordinal_position": 81}, {"identifier": "N10", "position": [1, 1], "step": 81, "ordinal_position": 82}, {"identifier": "H64", "position": [1, 2], "step": 82, "ordinal_position": 83}, {"identifier": "C57", "position": [1, 3], "step": 83, "ordinal_position": 84}, {"identifier": "D67", "position": [1, 4], "step": 84, "ordinal_position": 85}, {"identifier": "T51", "position": [1, 5], "step": 85, "ordinal_position": 86}, {"identifier": "Y42", "position": [2, 5], "step": 86, "ordinal_position": 87}, {"identifier": "L28", "position": [3, 5], "step": 87, "ordinal_position": 88}, {"identifier": "L92", "position": [3, 6], "step": 88, "ordinal_position": 89}, {"identifier": "F11", "position": [3, 7], "step": 89, "ordinal_position": 90}, {"identifier": "H53", "position": [3, 8], "step": 90, "ordinal_position": 91}, {"identifier": "B35", "position": [3, 9], "step": 91, "ordinal_position": 92}, {"identifier": "J91", "position": [4, 9], "step": 92, "ordinal_position": 93}, {"identifier": "V48", "position": [5, 9], "step": 93, "ordinal_position": 94}, {"identifier": "X24", "position": [5, 8], "step": 94, "ordinal_position": 95}, {"identifier": 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120}, {"identifier": "D67", "position": [1, 4], "step": 120, "ordinal_position": 121}, {"identifier": "T51", "position": [1, 5], "step": 121, "ordinal_position": 122}, {"identifier": "Y42", "position": [2, 5], "step": 122, "ordinal_position": 123}, {"identifier": "L28", "position": [3, 5], "step": 123, "ordinal_position": 124}, {"identifier": "L92", "position": [3, 6], "step": 124, "ordinal_position": 125}, {"identifier": "F11", "position": [3, 7], "step": 125, "ordinal_position": 126}, {"identifier": "H53", "position": [3, 8], "step": 126, "ordinal_position": 127}, {"identifier": "B35", "position": [3, 9], "step": 127, "ordinal_position": 128}, {"identifier": "J91", "position": [4, 9], "step": 128, "ordinal_position": 129}, {"identifier": "V48", "position": [5, 9], "step": 129, "ordinal_position": 130}, {"identifier": "X24", "position": [5, 8], "step": 130, "ordinal_position": 131}, {"identifier": "U04", "position": [5, 7], "step": 131, "ordinal_position": 132}, {"identifier": "C82", 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144, "ordinal_position": 145}, {"identifier": "P76", "position": [5, 1], "step": 145, "ordinal_position": 146}, {"identifier": "Y06", "position": [5, 2], "step": 146, "ordinal_position": 147}, {"identifier": "W41", "position": [5, 3], "step": 147, "ordinal_position": 148}, {"identifier": "M34", "position": [4, 3], "step": 148, "ordinal_position": 149}, {"identifier": "Z09", "position": [3, 3], "step": 149, "ordinal_position": 150}, {"identifier": "X57", "position": [3, 2], "step": 150, "ordinal_position": 151}, {"identifier": "W14", "position": [3, 1], "step": 151, "ordinal_position": 152}, {"identifier": "S34", "position": [2, 1], "step": 152, "ordinal_position": 153}, {"identifier": "N10", "position": [1, 1], "step": 153, "ordinal_position": 154}, {"identifier": "H64", "position": [1, 2], "step": 154, "ordinal_position": 155}, {"identifier": "C57", "position": [1, 3], "step": 155, "ordinal_position": 156}, {"identifier": "D67", "position": [1, 4], "step": 156, "ordinal_position": 157}, {"identifier": "T51", "position": [1, 5], "step": 157, "ordinal_position": 158}, {"identifier": "Y42", "position": [2, 5], "step": 158, "ordinal_position": 159}, {"identifier": "L28", "position": [3, 5], "step": 159, "ordinal_position": 160}, {"identifier": "L92", "position": [3, 6], "step": 160, "ordinal_position": 161}, {"identifier": "F11", "position": [3, 7], "step": 161, "ordinal_position": 162}, {"identifier": "H53", "position": [3, 8], "step": 162, "ordinal_position": 163}, {"identifier": "B35", "position": [3, 9], "step": 163, "ordinal_position": 164}, {"identifier": "J91", "position": [4, 9], "step": 164, "ordinal_position": 165}, {"identifier": "V48", "position": [5, 9], "step": 165, "ordinal_position": 166}, {"identifier": "X24", "position": [5, 8], "step": 166, "ordinal_position": 167}, {"identifier": "U04", "position": [5, 7], "step": 167, "ordinal_position": 168}, {"identifier": "C82", "position": [5, 6], "step": 168, "ordinal_position": 169}, {"identifier": "F33", "position": [5, 5], "step": 169, "ordinal_position": 170}, {"identifier": "Q02", "position": [6, 5], "step": 170, "ordinal_position": 171}, {"identifier": "S22", "position": [7, 5], "step": 171, "ordinal_position": 172}, {"identifier": "E46", "position": [7, 4], "step": 172, "ordinal_position": 173}, {"identifier": "D28", "position": [7, 3], "step": 173, "ordinal_position": 174}, {"identifier": "Y70", "position": [8, 3], "step": 174, "ordinal_position": 175}, {"identifier": "H75", "position": [9, 3], "step": 175, "ordinal_position": 176}, {"identifier": "W13", "position": [9, 2], "step": 176, "ordinal_position": 177}, {"identifier": "J77", "position": [9, 1], "step": 177, "ordinal_position": 178}, {"identifier": "L89", "position": [8, 1], "step": 178, "ordinal_position": 179}, {"identifier": "F83", "position": [7, 1], "step": 179, "ordinal_position": 180}, {"identifier": "U80", "position": [6, 1], "step": 180, "ordinal_position": 181}, {"identifier": "P76", "position": [5, 1], "step": 181, "ordinal_position": 182}, {"identifier": "Y06", "position": [5, 2], "step": 182, "ordinal_position": 183}, {"identifier": "W41", "position": [5, 3], "step": 183, "ordinal_position": 184}, {"identifier": "M34", "position": [4, 3], "step": 184, "ordinal_position": 185}, {"identifier": "Z09", "position": [3, 3], "step": 185, "ordinal_position": 186}, {"identifier": "X57", "position": [3, 2], "step": 186, "ordinal_position": 187}, {"identifier": "W14", "position": [3, 1], "step": 187, "ordinal_position": 188}, {"identifier": "S34", "position": [2, 1], "step": 188, "ordinal_position": 189}, {"identifier": "N10", "position": [1, 1], "step": 189, "ordinal_position": 190}, {"identifier": "H64", "position": [1, 2], "step": 190, "ordinal_position": 191}, {"identifier": "C57", "position": [1, 3], "step": 191, "ordinal_position": 192}, {"identifier": "D67", "position": [1, 4], "step": 192, "ordinal_position": 193}, {"identifier": "T51", "position": [1, 5], "step": 193, "ordinal_position": 194}, {"identifier": "Y42", "position": [2, 5], "step": 194, "ordinal_position": 195}, {"identifier": "L28", "position": [3, 5], "step": 195, "ordinal_position": 196}, {"identifier": "L92", "position": [3, 6], "step": 196, "ordinal_position": 197}, {"identifier": "F11", "position": [3, 7], "step": 197, "ordinal_position": 198}, {"identifier": "H53", "position": [3, 8], "step": 198, "ordinal_position": 199}, {"identifier": "B35", "position": [3, 9], "step": 199, "ordinal_position": 200}, {"identifier": "J91", "position": [4, 9], "step": 200, "ordinal_position": 201}, {"identifier": "V48", "position": [5, 9], "step": 201, "ordinal_position": 202}, {"identifier": "X24", "position": [5, 8], "step": 202, "ordinal_position": 203}, {"identifier": "U04", "position": [5, 7], "step": 203, "ordinal_position": 204}, {"identifier": "C82", "position": [5, 6], "step": 204, "ordinal_position": 205}, {"identifier": "F33", "position": [5, 5], "step": 205, "ordinal_position": 206}, {"identifier": "Q02", "position": [6, 5], "step": 206, "ordinal_position": 207}, {"identifier": "S22", "position": [7, 5], "step": 207, "ordinal_position": 208}, {"identifier": "E46", "position": [7, 4], "step": 208, "ordinal_position": 209}, {"identifier": "D28", "position": [7, 3], "step": 209, "ordinal_position": 210}, {"identifier": "Y70", "position": [8, 3], "step": 210, "ordinal_position": 211}, {"identifier": "H75", "position": [9, 3], "step": 211, "ordinal_position": 212}, {"identifier": "W13", "position": [9, 2], "step": 212, "ordinal_position": 213}, {"identifier": "J77", "position": [9, 1], "step": 213, "ordinal_position": 214}, {"identifier": "L89", "position": [8, 1], "step": 214, "ordinal_position": 215}, {"identifier": "F83", "position": [7, 1], "step": 215, "ordinal_position": 216}, {"identifier": "U80", "position": [6, 1], "step": 216, "ordinal_position": 217}, {"identifier": "P76", "position": [5, 1], "step": 217, "ordinal_position": 218}, {"identifier": "Y06", "position": [5, 2], "step": 218, "ordinal_position": 219}, {"identifier": "W41", "position": [5, 3], "step": 219, "ordinal_position": 220}, {"identifier": "M34", "position": [4, 3], "step": 220, "ordinal_position": 221}, {"identifier": "Z09", "position": [3, 3], "step": 221, "ordinal_position": 222}, {"identifier": "X57", "position": [3, 2], "step": 222, "ordinal_position": 223}, {"identifier": "W14", "position": [3, 1], "step": 223, "ordinal_position": 224}, {"identifier": "S34", "position": [2, 1], "step": 224, "ordinal_position": 225}, {"identifier": "N10", "position": [1, 1], "step": 225, "ordinal_position": 226}, {"identifier": "H64", "position": [1, 2], "step": 226, "ordinal_position": 227}, {"identifier": "C57", "position": [1, 3], "step": 227, "ordinal_position": 228}, {"identifier": "D67", "position": [1, 4], "step": 228, "ordinal_position": 229}, {"identifier": "T51", "position": [1, 5], "step": 229, "ordinal_position": 230}, {"identifier": "Y42", "position": [2, 5], "step": 230, "ordinal_position": 231}, {"identifier": "L28", "position": [3, 5], "step": 231, "ordinal_position": 232}, {"identifier": "L92", "position": [3, 6], "step": 232, "ordinal_position": 233}, {"identifier": "F11", "position": [3, 7], "step": 233, "ordinal_position": 234}, {"identifier": "H53", "position": [3, 8], "step": 234, "ordinal_position": 235}, {"identifier": "B35", "position": [3, 9], "step": 235, "ordinal_position": 236}, {"identifier": "J91", "position": [4, 9], "step": 236, "ordinal_position": 237}, {"identifier": "V48", "position": [5, 9], "step": 237, "ordinal_position": 238}, {"identifier": "X24", "position": [5, 8], "step": 238, "ordinal_position": 239}, {"identifier": "U04", "position": [5, 7], "step": 239, "ordinal_position": 240}, {"identifier": "C82", "position": [5, 6], "step": 240, "ordinal_position": 241}, {"identifier": "F33", "position": [5, 5], "step": 241, "ordinal_position": 242}, {"identifier": "Q02", "position": [6, 5], "step": 242, "ordinal_position": 243}, {"identifier": "S22", "position": [7, 5], "step": 243, "ordinal_position": 244}, {"identifier": "E46", "position": [7, 4], "step": 244, "ordinal_position": 245}, {"identifier": "D28", "position": [7, 3], "step": 245, "ordinal_position": 246}, {"identifier": "Y70", "position": [8, 3], "step": 246, "ordinal_position": 247}, {"identifier": "H75", "position": [9, 3], "step": 247, "ordinal_position": 248}, {"identifier": "W13", "position": [9, 2], "step": 248, "ordinal_position": 249}, {"identifier": "J77", "position": [9, 1], "step": 249, "ordinal_position": 250}, {"identifier": "L89", "position": [8, 1], "step": 250, "ordinal_position": 251}, {"identifier": "F83", "position": [7, 1], "step": 251, "ordinal_position": 252}, {"identifier": "U80", "position": [6, 1], "step": 252, "ordinal_position": 253}, {"identifier": "P76", "position": [5, 1], "step": 253, "ordinal_position": 254}, {"identifier": "Y06", "position": [5, 2], "step": 254, "ordinal_position": 255}, {"identifier": "W41", "position": [5, 3], "step": 255, "ordinal_position": 256}, {"identifier": "M34", "position": [4, 3], "step": 256, "ordinal_position": 257}, {"identifier": "Z09", "position": [3, 3], "step": 257, "ordinal_position": 258}, {"identifier": "X57", "position": [3, 2], "step": 258, "ordinal_position": 259}, {"identifier": "W14", "position": [3, 1], "step": 259, "ordinal_position": 260}, {"identifier": "S34", "position": [2, 1], "step": 260, "ordinal_position": 261}, {"identifier": "N10", "position": [1, 1], "step": 261, "ordinal_position": 262}, {"identifier": "H64", "position": [1, 2], "step": 262, "ordinal_position": 263}, {"identifier": "C57", "position": [1, 3], "step": 263, "ordinal_position": 264}, {"identifier": "D67", "position": [1, 4], "step": 264, "ordinal_position": 265}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 265, "direction": "up", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_000.json"}} {"qa_id": "dbf5c570ae6a42e88f1eaf3182750a0a", "image_id": "L3-MazeLoop-test_11x11_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W13, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 185th position in this traversal?", "start_object_id": "W13", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [185], "ordinal_strings": ["185th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "H53", "traversal_path": [{"identifier": "W13", "position": [9, 2], "step": 0, "ordinal_position": 1}, {"identifier": "H75", "position": [9, 3], "step": 1, "ordinal_position": 2}, {"identifier": "L78", "position": [9, 4], "step": 2, "ordinal_position": 3}, {"identifier": "N32", "position": [9, 5], "step": 3, "ordinal_position": 4}, {"identifier": "G12", "position": [9, 6], "step": 4, "ordinal_position": 5}, {"identifier": "J08", "position": [9, 7], "step": 5, "ordinal_position": 6}, {"identifier": "M98", "position": [9, 8], "step": 6, "ordinal_position": 7}, {"identifier": "W57", "position": [9, 9], "step": 7, "ordinal_position": 8}, {"identifier": "D75", "position": [8, 9], "step": 8, "ordinal_position": 9}, {"identifier": "D73", "position": [7, 9], "step": 9, "ordinal_position": 10}, {"identifier": "I32", "position": [7, 8], "step": 10, "ordinal_position": 11}, {"identifier": "W24", "position": [7, 7], "step": 11, "ordinal_position": 12}, {"identifier": "K65", "position": [8, 7], "step": 12, "ordinal_position": 13}, {"identifier": "J08", "position": [9, 7], "step": 13, "ordinal_position": 14}, {"identifier": "G12", "position": [9, 6], "step": 14, "ordinal_position": 15}, {"identifier": "N32", "position": [9, 5], "step": 15, "ordinal_position": 16}, {"identifier": "L78", "position": [9, 4], "step": 16, "ordinal_position": 17}, {"identifier": "H75", "position": [9, 3], "step": 17, "ordinal_position": 18}, {"identifier": "W13", "position": [9, 2], "step": 18, "ordinal_position": 19}, {"identifier": "J77", "position": [9, 1], "step": 19, "ordinal_position": 20}, {"identifier": "L89", "position": [8, 1], "step": 20, "ordinal_position": 21}, {"identifier": "F83", "position": [7, 1], "step": 21, "ordinal_position": 22}, {"identifier": "U80", "position": [6, 1], "step": 22, "ordinal_position": 23}, {"identifier": "P76", "position": [5, 1], "step": 23, "ordinal_position": 24}, {"identifier": "Y06", "position": [5, 2], "step": 24, "ordinal_position": 25}, {"identifier": "W41", "position": [5, 3], "step": 25, "ordinal_position": 26}, {"identifier": "M34", "position": [4, 3], "step": 26, "ordinal_position": 27}, {"identifier": "Z09", "position": [3, 3], "step": 27, "ordinal_position": 28}, {"identifier": "X57", "position": [3, 2], "step": 28, "ordinal_position": 29}, {"identifier": "W14", "position": [3, 1], "step": 29, "ordinal_position": 30}, {"identifier": "S34", "position": [2, 1], "step": 30, "ordinal_position": 31}, {"identifier": "N10", "position": [1, 1], "step": 31, "ordinal_position": 32}, {"identifier": "H64", "position": [1, 2], "step": 32, "ordinal_position": 33}, {"identifier": "C57", "position": [1, 3], "step": 33, "ordinal_position": 34}, {"identifier": "D67", "position": [1, 4], "step": 34, "ordinal_position": 35}, {"identifier": "T51", "position": [1, 5], "step": 35, "ordinal_position": 36}, {"identifier": "Y42", "position": [2, 5], "step": 36, "ordinal_position": 37}, {"identifier": "L28", "position": [3, 5], "step": 37, "ordinal_position": 38}, {"identifier": "L92", "position": [3, 6], "step": 38, "ordinal_position": 39}, {"identifier": "F11", "position": [3, 7], "step": 39, "ordinal_position": 40}, {"identifier": "H53", "position": [3, 8], "step": 40, "ordinal_position": 41}, {"identifier": "B35", "position": [3, 9], "step": 41, "ordinal_position": 42}, {"identifier": "J91", "position": [4, 9], "step": 42, "ordinal_position": 43}, {"identifier": "V48", "position": [5, 9], "step": 43, "ordinal_position": 44}, {"identifier": "X24", "position": [5, 8], "step": 44, "ordinal_position": 45}, {"identifier": "U04", "position": [5, 7], "step": 45, "ordinal_position": 46}, {"identifier": "C82", "position": [5, 6], "step": 46, "ordinal_position": 47}, {"identifier": "F33", "position": [5, 5], "step": 47, "ordinal_position": 48}, {"identifier": "Q02", "position": [6, 5], "step": 48, "ordinal_position": 49}, {"identifier": "S22", "position": [7, 5], "step": 49, "ordinal_position": 50}, {"identifier": "E46", "position": [7, 4], "step": 50, "ordinal_position": 51}, {"identifier": "D28", "position": [7, 3], "step": 51, "ordinal_position": 52}, {"identifier": "Y70", "position": [8, 3], "step": 52, "ordinal_position": 53}, {"identifier": "H75", "position": [9, 3], "step": 53, "ordinal_position": 54}, {"identifier": "W13", "position": [9, 2], "step": 54, "ordinal_position": 55}, {"identifier": "J77", "position": [9, 1], "step": 55, "ordinal_position": 56}, {"identifier": "L89", "position": [8, 1], "step": 56, "ordinal_position": 57}, {"identifier": "F83", "position": [7, 1], "step": 57, "ordinal_position": 58}, {"identifier": "U80", "position": [6, 1], "step": 58, "ordinal_position": 59}, {"identifier": "P76", "position": [5, 1], "step": 59, "ordinal_position": 60}, {"identifier": "Y06", "position": [5, 2], "step": 60, "ordinal_position": 61}, {"identifier": "W41", "position": [5, 3], "step": 61, "ordinal_position": 62}, {"identifier": "M34", "position": [4, 3], "step": 62, "ordinal_position": 63}, {"identifier": "Z09", "position": [3, 3], "step": 63, "ordinal_position": 64}, {"identifier": "X57", "position": [3, 2], "step": 64, "ordinal_position": 65}, {"identifier": "W14", "position": [3, 1], "step": 65, "ordinal_position": 66}, {"identifier": "S34", "position": [2, 1], "step": 66, "ordinal_position": 67}, {"identifier": "N10", "position": [1, 1], "step": 67, "ordinal_position": 68}, {"identifier": "H64", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "C57", "position": [1, 3], "step": 69, "ordinal_position": 70}, {"identifier": "D67", "position": [1, 4], "step": 70, "ordinal_position": 71}, {"identifier": "T51", "position": [1, 5], "step": 71, "ordinal_position": 72}, {"identifier": "Y42", "position": [2, 5], "step": 72, "ordinal_position": 73}, {"identifier": "L28", "position": [3, 5], "step": 73, "ordinal_position": 74}, {"identifier": "L92", "position": [3, 6], "step": 74, "ordinal_position": 75}, {"identifier": "F11", "position": [3, 7], "step": 75, "ordinal_position": 76}, {"identifier": "H53", "position": [3, 8], "step": 76, "ordinal_position": 77}, {"identifier": "B35", "position": [3, 9], "step": 77, "ordinal_position": 78}, {"identifier": "J91", "position": [4, 9], "step": 78, "ordinal_position": 79}, {"identifier": "V48", "position": [5, 9], "step": 79, "ordinal_position": 80}, {"identifier": "X24", "position": [5, 8], "step": 80, "ordinal_position": 81}, {"identifier": "U04", "position": [5, 7], "step": 81, "ordinal_position": 82}, {"identifier": "C82", "position": [5, 6], "step": 82, "ordinal_position": 83}, {"identifier": "F33", "position": [5, 5], "step": 83, "ordinal_position": 84}, {"identifier": "Q02", "position": [6, 5], "step": 84, "ordinal_position": 85}, {"identifier": "S22", "position": [7, 5], "step": 85, "ordinal_position": 86}, {"identifier": "E46", "position": [7, 4], "step": 86, "ordinal_position": 87}, {"identifier": "D28", "position": [7, 3], "step": 87, "ordinal_position": 88}, {"identifier": "Y70", "position": [8, 3], "step": 88, "ordinal_position": 89}, {"identifier": "H75", "position": [9, 3], "step": 89, "ordinal_position": 90}, {"identifier": "W13", "position": [9, 2], "step": 90, "ordinal_position": 91}, {"identifier": "J77", "position": [9, 1], "step": 91, "ordinal_position": 92}, {"identifier": "L89", "position": [8, 1], "step": 92, "ordinal_position": 93}, {"identifier": "F83", "position": [7, 1], "step": 93, "ordinal_position": 94}, {"identifier": "U80", "position": [6, 1], "step": 94, "ordinal_position": 95}, {"identifier": "P76", "position": [5, 1], "step": 95, "ordinal_position": 96}, {"identifier": "Y06", "position": [5, 2], "step": 96, "ordinal_position": 97}, {"identifier": "W41", "position": [5, 3], "step": 97, "ordinal_position": 98}, {"identifier": "M34", "position": [4, 3], "step": 98, "ordinal_position": 99}, {"identifier": "Z09", "position": [3, 3], "step": 99, "ordinal_position": 100}, {"identifier": "X57", "position": [3, 2], "step": 100, "ordinal_position": 101}, {"identifier": "W14", "position": [3, 1], "step": 101, "ordinal_position": 102}, {"identifier": "S34", "position": [2, 1], "step": 102, "ordinal_position": 103}, {"identifier": "N10", "position": [1, 1], "step": 103, "ordinal_position": 104}, {"identifier": "H64", "position": [1, 2], "step": 104, "ordinal_position": 105}, {"identifier": "C57", "position": [1, 3], "step": 105, "ordinal_position": 106}, {"identifier": "D67", "position": [1, 4], "step": 106, "ordinal_position": 107}, {"identifier": "T51", "position": [1, 5], "step": 107, "ordinal_position": 108}, {"identifier": "Y42", "position": [2, 5], "step": 108, "ordinal_position": 109}, {"identifier": "L28", "position": [3, 5], "step": 109, "ordinal_position": 110}, {"identifier": "L92", "position": [3, 6], "step": 110, "ordinal_position": 111}, {"identifier": "F11", "position": [3, 7], "step": 111, "ordinal_position": 112}, {"identifier": "H53", "position": [3, 8], "step": 112, "ordinal_position": 113}, {"identifier": "B35", "position": [3, 9], "step": 113, "ordinal_position": 114}, {"identifier": "J91", "position": [4, 9], "step": 114, "ordinal_position": 115}, {"identifier": "V48", "position": [5, 9], "step": 115, "ordinal_position": 116}, {"identifier": "X24", "position": [5, 8], "step": 116, "ordinal_position": 117}, {"identifier": "U04", "position": [5, 7], "step": 117, "ordinal_position": 118}, {"identifier": "C82", "position": [5, 6], "step": 118, "ordinal_position": 119}, {"identifier": "F33", "position": [5, 5], "step": 119, "ordinal_position": 120}, {"identifier": "Q02", "position": [6, 5], "step": 120, "ordinal_position": 121}, {"identifier": "S22", "position": [7, 5], "step": 121, "ordinal_position": 122}, {"identifier": "E46", "position": [7, 4], "step": 122, "ordinal_position": 123}, {"identifier": "D28", "position": [7, 3], "step": 123, "ordinal_position": 124}, {"identifier": "Y70", "position": [8, 3], "step": 124, "ordinal_position": 125}, {"identifier": "H75", "position": [9, 3], "step": 125, "ordinal_position": 126}, {"identifier": "W13", "position": [9, 2], "step": 126, "ordinal_position": 127}, {"identifier": "J77", "position": [9, 1], "step": 127, "ordinal_position": 128}, {"identifier": "L89", "position": [8, 1], "step": 128, "ordinal_position": 129}, {"identifier": "F83", "position": [7, 1], "step": 129, "ordinal_position": 130}, {"identifier": "U80", "position": [6, 1], "step": 130, "ordinal_position": 131}, {"identifier": "P76", "position": [5, 1], "step": 131, "ordinal_position": 132}, {"identifier": "Y06", "position": [5, 2], "step": 132, "ordinal_position": 133}, {"identifier": "W41", "position": [5, 3], "step": 133, "ordinal_position": 134}, {"identifier": "M34", "position": [4, 3], "step": 134, "ordinal_position": 135}, {"identifier": "Z09", "position": [3, 3], "step": 135, "ordinal_position": 136}, {"identifier": "X57", "position": [3, 2], "step": 136, "ordinal_position": 137}, {"identifier": "W14", "position": [3, 1], "step": 137, "ordinal_position": 138}, {"identifier": "S34", "position": [2, 1], "step": 138, "ordinal_position": 139}, {"identifier": "N10", "position": [1, 1], "step": 139, "ordinal_position": 140}, {"identifier": "H64", "position": [1, 2], "step": 140, "ordinal_position": 141}, {"identifier": "C57", "position": [1, 3], "step": 141, "ordinal_position": 142}, {"identifier": "D67", "position": [1, 4], "step": 142, "ordinal_position": 143}, {"identifier": "T51", "position": [1, 5], "step": 143, "ordinal_position": 144}, {"identifier": "Y42", "position": [2, 5], "step": 144, "ordinal_position": 145}, {"identifier": "L28", "position": [3, 5], "step": 145, "ordinal_position": 146}, {"identifier": "L92", "position": [3, 6], "step": 146, "ordinal_position": 147}, {"identifier": "F11", "position": [3, 7], "step": 147, "ordinal_position": 148}, {"identifier": "H53", "position": [3, 8], "step": 148, "ordinal_position": 149}, {"identifier": "B35", "position": [3, 9], "step": 149, "ordinal_position": 150}, {"identifier": "J91", "position": [4, 9], "step": 150, "ordinal_position": 151}, {"identifier": "V48", "position": [5, 9], "step": 151, "ordinal_position": 152}, {"identifier": "X24", "position": [5, 8], "step": 152, "ordinal_position": 153}, {"identifier": "U04", "position": [5, 7], "step": 153, "ordinal_position": 154}, {"identifier": "C82", "position": [5, 6], "step": 154, "ordinal_position": 155}, {"identifier": "F33", "position": [5, 5], "step": 155, "ordinal_position": 156}, {"identifier": "Q02", "position": [6, 5], "step": 156, "ordinal_position": 157}, {"identifier": "S22", "position": [7, 5], "step": 157, "ordinal_position": 158}, {"identifier": "E46", "position": [7, 4], "step": 158, "ordinal_position": 159}, {"identifier": "D28", "position": [7, 3], "step": 159, "ordinal_position": 160}, {"identifier": "Y70", "position": [8, 3], "step": 160, "ordinal_position": 161}, {"identifier": "H75", "position": [9, 3], "step": 161, "ordinal_position": 162}, {"identifier": "W13", "position": [9, 2], "step": 162, "ordinal_position": 163}, {"identifier": "J77", "position": [9, 1], "step": 163, "ordinal_position": 164}, {"identifier": "L89", "position": [8, 1], "step": 164, "ordinal_position": 165}, {"identifier": "F83", "position": [7, 1], "step": 165, "ordinal_position": 166}, {"identifier": "U80", "position": [6, 1], "step": 166, "ordinal_position": 167}, {"identifier": "P76", "position": [5, 1], "step": 167, "ordinal_position": 168}, {"identifier": "Y06", "position": [5, 2], "step": 168, "ordinal_position": 169}, {"identifier": "W41", "position": [5, 3], "step": 169, "ordinal_position": 170}, {"identifier": "M34", "position": [4, 3], "step": 170, "ordinal_position": 171}, {"identifier": "Z09", "position": [3, 3], "step": 171, "ordinal_position": 172}, {"identifier": "X57", "position": [3, 2], "step": 172, "ordinal_position": 173}, {"identifier": "W14", "position": [3, 1], "step": 173, "ordinal_position": 174}, {"identifier": "S34", "position": [2, 1], "step": 174, "ordinal_position": 175}, {"identifier": "N10", "position": [1, 1], "step": 175, "ordinal_position": 176}, {"identifier": "H64", "position": [1, 2], "step": 176, "ordinal_position": 177}, {"identifier": "C57", "position": [1, 3], "step": 177, "ordinal_position": 178}, {"identifier": "D67", "position": [1, 4], "step": 178, "ordinal_position": 179}, {"identifier": "T51", "position": [1, 5], "step": 179, "ordinal_position": 180}, {"identifier": "Y42", "position": [2, 5], "step": 180, "ordinal_position": 181}, {"identifier": "L28", "position": [3, 5], "step": 181, "ordinal_position": 182}, {"identifier": "L92", "position": [3, 6], "step": 182, "ordinal_position": 183}, {"identifier": "F11", "position": [3, 7], "step": 183, "ordinal_position": 184}, {"identifier": "H53", "position": [3, 8], "step": 184, "ordinal_position": 185}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 185, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_000.json"}} {"qa_id": "22987241226a4c37b9aef2b62e7c3018", "image_id": "L3-MazeLoop-test_11x11_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R28, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "R28", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "A50", "traversal_path": [{"identifier": "R28", "position": [5, 5], "step": 0, "ordinal_position": 1}, {"identifier": "W45", "position": [5, 6], "step": 1, "ordinal_position": 2}, {"identifier": "X66", "position": [5, 7], "step": 2, "ordinal_position": 3}, {"identifier": "A50", "position": [5, 8], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 4, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_001.json"}} {"qa_id": "242164a264704e7c84565e296c361a6b", "image_id": "L3-MazeLoop-test_11x11_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P34, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "P34", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "B41", "traversal_path": [{"identifier": "P34", "position": [9, 4], "step": 0, "ordinal_position": 1}, {"identifier": "W10", "position": [9, 5], "step": 1, "ordinal_position": 2}, {"identifier": "J94", "position": [9, 6], "step": 2, "ordinal_position": 3}, {"identifier": "W47", "position": [9, 7], "step": 3, "ordinal_position": 4}, {"identifier": "P03", "position": [9, 8], "step": 4, "ordinal_position": 5}, {"identifier": "B41", "position": [9, 9], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 6, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_001.json"}} {"qa_id": "2a22931f5823428da1901fdb5e093468", "image_id": "L3-MazeLoop-test_11x11_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P03, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 10th position in this traversal?", "start_object_id": "P03", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [10], "ordinal_strings": ["10th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "V33", "traversal_path": [{"identifier": "P03", "position": [9, 8], "step": 0, "ordinal_position": 1}, {"identifier": "B41", "position": [9, 9], "step": 1, "ordinal_position": 2}, {"identifier": "G70", "position": [8, 9], "step": 2, "ordinal_position": 3}, {"identifier": "Q97", "position": [7, 9], "step": 3, "ordinal_position": 4}, {"identifier": "L63", "position": [6, 9], "step": 4, "ordinal_position": 5}, {"identifier": "O08", "position": [5, 9], "step": 5, "ordinal_position": 6}, {"identifier": "Q55", "position": [4, 9], "step": 6, "ordinal_position": 7}, {"identifier": "G97", "position": [3, 9], "step": 7, "ordinal_position": 8}, {"identifier": "M63", "position": [2, 9], "step": 8, "ordinal_position": 9}, {"identifier": "V33", "position": [1, 9], "step": 9, "ordinal_position": 10}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 10, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_001.json"}} {"qa_id": "2c6878dd26db4d6f8aff2c4cb9c9833c", "image_id": "L3-MazeLoop-test_11x11_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J29, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "J29", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q12", "traversal_path": [{"identifier": "J29", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "U79", "position": [3, 4], "step": 1, "ordinal_position": 2}, {"identifier": "T22", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "U57", "position": [2, 3], "step": 3, "ordinal_position": 4}, {"identifier": "D54", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "O47", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "Z18", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Q12", "position": [2, 1], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 8, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_001.json"}} {"qa_id": "47d95eda8aff4f15908fdcb067aa45c9", "image_id": "L3-MazeLoop-test_11x11_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T22, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "T22", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "E95", "traversal_path": [{"identifier": "T22", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "U57", "position": [2, 3], "step": 1, "ordinal_position": 2}, {"identifier": "D54", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "O47", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "Z18", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Q12", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "E95", "position": [3, 1], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 7, "direction": "left", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_001.json"}} {"qa_id": "e9802fdd57c34d4fadb3beaebfdd74da", "image_id": "L3-MazeLoop-test_11x11_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U45, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 64th position in this traversal?", "start_object_id": "U45", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [64], "ordinal_strings": ["64th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U82", "traversal_path": [{"identifier": "U45", "position": [1, 6], "step": 0, "ordinal_position": 1}, {"identifier": "U69", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "H08", "position": [2, 5], "step": 2, "ordinal_position": 3}, {"identifier": "J29", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "I17", "position": [3, 6], "step": 4, "ordinal_position": 5}, {"identifier": "U05", "position": [3, 7], "step": 5, "ordinal_position": 6}, {"identifier": "Q10", "position": [4, 7], "step": 6, "ordinal_position": 7}, {"identifier": "X66", "position": [5, 7], "step": 7, "ordinal_position": 8}, {"identifier": "A50", "position": [5, 8], "step": 8, "ordinal_position": 9}, {"identifier": "O08", "position": [5, 9], "step": 9, "ordinal_position": 10}, {"identifier": "Q55", "position": [4, 9], "step": 10, "ordinal_position": 11}, {"identifier": "G97", "position": [3, 9], "step": 11, "ordinal_position": 12}, {"identifier": "M63", "position": [2, 9], "step": 12, "ordinal_position": 13}, {"identifier": "V33", "position": [1, 9], "step": 13, "ordinal_position": 14}, {"identifier": "B21", "position": [1, 8], "step": 14, "ordinal_position": 15}, {"identifier": "U82", "position": [1, 7], "step": 15, "ordinal_position": 16}, {"identifier": "U45", "position": [1, 6], "step": 16, "ordinal_position": 17}, {"identifier": "U69", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "H08", "position": [2, 5], "step": 18, "ordinal_position": 19}, {"identifier": "J29", "position": [3, 5], "step": 19, "ordinal_position": 20}, {"identifier": "I17", "position": [3, 6], "step": 20, "ordinal_position": 21}, {"identifier": "U05", "position": [3, 7], "step": 21, "ordinal_position": 22}, {"identifier": "Q10", "position": [4, 7], "step": 22, "ordinal_position": 23}, {"identifier": "X66", "position": [5, 7], "step": 23, "ordinal_position": 24}, {"identifier": "A50", "position": [5, 8], "step": 24, "ordinal_position": 25}, {"identifier": "O08", "position": [5, 9], "step": 25, "ordinal_position": 26}, {"identifier": "Q55", "position": [4, 9], "step": 26, "ordinal_position": 27}, {"identifier": "G97", "position": [3, 9], "step": 27, "ordinal_position": 28}, {"identifier": "M63", "position": [2, 9], "step": 28, "ordinal_position": 29}, {"identifier": "V33", "position": [1, 9], "step": 29, "ordinal_position": 30}, {"identifier": "B21", "position": [1, 8], "step": 30, "ordinal_position": 31}, {"identifier": "U82", "position": [1, 7], "step": 31, "ordinal_position": 32}, {"identifier": "U45", "position": [1, 6], "step": 32, "ordinal_position": 33}, {"identifier": "U69", "position": [1, 5], "step": 33, "ordinal_position": 34}, {"identifier": "H08", "position": [2, 5], "step": 34, "ordinal_position": 35}, {"identifier": "J29", "position": [3, 5], "step": 35, "ordinal_position": 36}, {"identifier": "I17", "position": [3, 6], "step": 36, "ordinal_position": 37}, {"identifier": "U05", "position": [3, 7], "step": 37, "ordinal_position": 38}, {"identifier": "Q10", "position": [4, 7], "step": 38, "ordinal_position": 39}, {"identifier": "X66", "position": [5, 7], "step": 39, "ordinal_position": 40}, {"identifier": "A50", "position": [5, 8], "step": 40, "ordinal_position": 41}, {"identifier": "O08", "position": [5, 9], "step": 41, "ordinal_position": 42}, {"identifier": "Q55", "position": [4, 9], "step": 42, "ordinal_position": 43}, {"identifier": "G97", "position": [3, 9], "step": 43, "ordinal_position": 44}, {"identifier": "M63", "position": [2, 9], "step": 44, "ordinal_position": 45}, {"identifier": "V33", "position": [1, 9], "step": 45, "ordinal_position": 46}, {"identifier": "B21", "position": [1, 8], "step": 46, "ordinal_position": 47}, {"identifier": "U82", "position": [1, 7], "step": 47, "ordinal_position": 48}, {"identifier": "U45", "position": [1, 6], "step": 48, "ordinal_position": 49}, {"identifier": "U69", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "H08", "position": [2, 5], "step": 50, "ordinal_position": 51}, {"identifier": "J29", "position": [3, 5], "step": 51, "ordinal_position": 52}, {"identifier": "I17", "position": [3, 6], "step": 52, "ordinal_position": 53}, {"identifier": "U05", "position": [3, 7], "step": 53, "ordinal_position": 54}, {"identifier": "Q10", "position": [4, 7], "step": 54, "ordinal_position": 55}, {"identifier": "X66", "position": [5, 7], "step": 55, "ordinal_position": 56}, {"identifier": "A50", "position": [5, 8], "step": 56, "ordinal_position": 57}, {"identifier": "O08", "position": [5, 9], "step": 57, "ordinal_position": 58}, {"identifier": "Q55", "position": [4, 9], "step": 58, "ordinal_position": 59}, {"identifier": "G97", "position": [3, 9], "step": 59, "ordinal_position": 60}, {"identifier": "M63", "position": [2, 9], "step": 60, "ordinal_position": 61}, {"identifier": "V33", "position": [1, 9], "step": 61, "ordinal_position": 62}, {"identifier": "B21", "position": [1, 8], "step": 62, "ordinal_position": 63}, {"identifier": "U82", "position": [1, 7], "step": 63, "ordinal_position": 64}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 64, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_001.json"}} {"qa_id": "d23d9fc395514255b8bf112390f8e5a9", "image_id": "L3-MazeLoop-test_11x11_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U79, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 98th position in this traversal?", "start_object_id": "U79", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [98], "ordinal_strings": ["98th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U05", "traversal_path": [{"identifier": "U79", "position": [3, 4], "step": 0, "ordinal_position": 1}, {"identifier": "T22", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "U57", "position": [2, 3], "step": 2, "ordinal_position": 3}, {"identifier": "D54", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "O47", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "Z18", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Q12", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "E95", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "Y12", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "V04", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "H77", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "Y06", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "Q56", "position": [6, 3], "step": 12, "ordinal_position": 13}, {"identifier": "B78", "position": [7, 3], "step": 13, "ordinal_position": 14}, {"identifier": "E42", "position": [7, 4], "step": 14, "ordinal_position": 15}, {"identifier": "Y29", "position": [7, 5], "step": 15, "ordinal_position": 16}, {"identifier": "R97", "position": [6, 5], "step": 16, "ordinal_position": 17}, {"identifier": "R28", "position": [5, 5], "step": 17, "ordinal_position": 18}, {"identifier": "W45", "position": [5, 6], "step": 18, "ordinal_position": 19}, {"identifier": "X66", "position": [5, 7], "step": 19, "ordinal_position": 20}, {"identifier": "A50", "position": [5, 8], "step": 20, "ordinal_position": 21}, {"identifier": "O08", "position": [5, 9], "step": 21, "ordinal_position": 22}, {"identifier": "Q55", "position": [4, 9], "step": 22, "ordinal_position": 23}, {"identifier": "G97", "position": [3, 9], "step": 23, "ordinal_position": 24}, {"identifier": "M63", "position": [2, 9], "step": 24, "ordinal_position": 25}, {"identifier": "V33", "position": [1, 9], "step": 25, "ordinal_position": 26}, {"identifier": "B21", "position": [1, 8], "step": 26, "ordinal_position": 27}, {"identifier": "U82", "position": [1, 7], "step": 27, "ordinal_position": 28}, {"identifier": "U45", "position": [1, 6], "step": 28, "ordinal_position": 29}, {"identifier": "U69", "position": [1, 5], "step": 29, "ordinal_position": 30}, {"identifier": "H08", "position": [2, 5], "step": 30, "ordinal_position": 31}, {"identifier": "J29", "position": [3, 5], "step": 31, "ordinal_position": 32}, {"identifier": "I17", "position": [3, 6], "step": 32, "ordinal_position": 33}, {"identifier": "U05", "position": [3, 7], "step": 33, "ordinal_position": 34}, {"identifier": "Q10", "position": [4, 7], "step": 34, "ordinal_position": 35}, {"identifier": "X66", "position": [5, 7], "step": 35, "ordinal_position": 36}, {"identifier": "A50", "position": [5, 8], "step": 36, "ordinal_position": 37}, {"identifier": "O08", "position": [5, 9], "step": 37, "ordinal_position": 38}, {"identifier": "Q55", "position": [4, 9], "step": 38, "ordinal_position": 39}, {"identifier": "G97", "position": [3, 9], "step": 39, "ordinal_position": 40}, {"identifier": "M63", "position": [2, 9], "step": 40, "ordinal_position": 41}, {"identifier": "V33", "position": [1, 9], "step": 41, "ordinal_position": 42}, {"identifier": "B21", "position": [1, 8], "step": 42, "ordinal_position": 43}, {"identifier": "U82", "position": [1, 7], "step": 43, "ordinal_position": 44}, {"identifier": "U45", "position": [1, 6], "step": 44, "ordinal_position": 45}, {"identifier": "U69", "position": [1, 5], "step": 45, "ordinal_position": 46}, {"identifier": "H08", "position": [2, 5], "step": 46, "ordinal_position": 47}, {"identifier": "J29", "position": [3, 5], "step": 47, "ordinal_position": 48}, {"identifier": "I17", "position": [3, 6], "step": 48, "ordinal_position": 49}, {"identifier": "U05", "position": [3, 7], "step": 49, "ordinal_position": 50}, {"identifier": "Q10", "position": [4, 7], "step": 50, "ordinal_position": 51}, {"identifier": "X66", "position": [5, 7], "step": 51, "ordinal_position": 52}, {"identifier": "A50", "position": [5, 8], "step": 52, "ordinal_position": 53}, {"identifier": "O08", "position": [5, 9], "step": 53, "ordinal_position": 54}, {"identifier": "Q55", "position": [4, 9], "step": 54, "ordinal_position": 55}, {"identifier": "G97", "position": [3, 9], "step": 55, "ordinal_position": 56}, {"identifier": "M63", "position": [2, 9], "step": 56, "ordinal_position": 57}, {"identifier": "V33", "position": [1, 9], "step": 57, "ordinal_position": 58}, {"identifier": "B21", "position": [1, 8], "step": 58, "ordinal_position": 59}, {"identifier": "U82", "position": [1, 7], "step": 59, "ordinal_position": 60}, {"identifier": "U45", "position": [1, 6], "step": 60, "ordinal_position": 61}, {"identifier": "U69", "position": [1, 5], "step": 61, "ordinal_position": 62}, {"identifier": "H08", "position": [2, 5], "step": 62, "ordinal_position": 63}, {"identifier": "J29", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "I17", "position": [3, 6], "step": 64, "ordinal_position": 65}, {"identifier": "U05", "position": [3, 7], "step": 65, "ordinal_position": 66}, {"identifier": "Q10", "position": [4, 7], "step": 66, "ordinal_position": 67}, {"identifier": "X66", "position": [5, 7], "step": 67, "ordinal_position": 68}, {"identifier": "A50", "position": [5, 8], "step": 68, "ordinal_position": 69}, {"identifier": "O08", "position": [5, 9], "step": 69, "ordinal_position": 70}, {"identifier": "Q55", "position": [4, 9], "step": 70, "ordinal_position": 71}, {"identifier": "G97", "position": [3, 9], "step": 71, "ordinal_position": 72}, {"identifier": "M63", "position": [2, 9], "step": 72, "ordinal_position": 73}, {"identifier": "V33", "position": [1, 9], "step": 73, "ordinal_position": 74}, {"identifier": "B21", "position": [1, 8], "step": 74, "ordinal_position": 75}, {"identifier": "U82", "position": [1, 7], "step": 75, "ordinal_position": 76}, {"identifier": "U45", "position": [1, 6], "step": 76, "ordinal_position": 77}, {"identifier": "U69", "position": [1, 5], "step": 77, "ordinal_position": 78}, {"identifier": "H08", "position": [2, 5], "step": 78, "ordinal_position": 79}, {"identifier": "J29", "position": [3, 5], "step": 79, "ordinal_position": 80}, {"identifier": "I17", "position": [3, 6], "step": 80, "ordinal_position": 81}, {"identifier": "U05", "position": [3, 7], "step": 81, "ordinal_position": 82}, {"identifier": "Q10", "position": [4, 7], "step": 82, "ordinal_position": 83}, {"identifier": "X66", "position": [5, 7], "step": 83, "ordinal_position": 84}, {"identifier": "A50", "position": [5, 8], "step": 84, "ordinal_position": 85}, {"identifier": "O08", "position": [5, 9], "step": 85, "ordinal_position": 86}, {"identifier": "Q55", "position": [4, 9], "step": 86, "ordinal_position": 87}, {"identifier": "G97", "position": [3, 9], "step": 87, "ordinal_position": 88}, {"identifier": "M63", "position": [2, 9], "step": 88, "ordinal_position": 89}, {"identifier": "V33", "position": [1, 9], "step": 89, "ordinal_position": 90}, {"identifier": "B21", "position": [1, 8], "step": 90, "ordinal_position": 91}, {"identifier": "U82", "position": [1, 7], "step": 91, "ordinal_position": 92}, {"identifier": "U45", "position": [1, 6], "step": 92, "ordinal_position": 93}, {"identifier": "U69", "position": [1, 5], "step": 93, "ordinal_position": 94}, {"identifier": "H08", "position": [2, 5], "step": 94, "ordinal_position": 95}, {"identifier": "J29", "position": [3, 5], "step": 95, "ordinal_position": 96}, {"identifier": "I17", "position": [3, 6], "step": 96, "ordinal_position": 97}, {"identifier": "U05", "position": [3, 7], "step": 97, "ordinal_position": 98}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 98, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_001.json"}} {"qa_id": "8a7abc0ed2bf4890bc1d4d89c8c7c227", "image_id": "L3-MazeLoop-test_11x11_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U79, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 31st position in this traversal?", "start_object_id": "U79", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [31], "ordinal_strings": ["31st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q55", "traversal_path": [{"identifier": "U79", "position": [3, 4], "step": 0, "ordinal_position": 1}, {"identifier": "T22", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "U57", "position": [2, 3], "step": 2, "ordinal_position": 3}, {"identifier": "D54", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "O47", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "Z18", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Q12", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "E95", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "Y12", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "V04", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "H77", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "Y06", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "Q56", "position": [6, 3], "step": 12, "ordinal_position": 13}, {"identifier": "B78", "position": [7, 3], "step": 13, "ordinal_position": 14}, {"identifier": "P17", "position": [7, 2], "step": 14, "ordinal_position": 15}, {"identifier": "Q11", "position": [7, 1], "step": 15, "ordinal_position": 16}, {"identifier": "G90", "position": [8, 1], "step": 16, "ordinal_position": 17}, {"identifier": "J50", "position": [9, 1], "step": 17, "ordinal_position": 18}, {"identifier": "U51", "position": [9, 2], "step": 18, "ordinal_position": 19}, {"identifier": "M42", "position": [9, 3], "step": 19, "ordinal_position": 20}, {"identifier": "P34", "position": [9, 4], "step": 20, "ordinal_position": 21}, {"identifier": "W10", "position": [9, 5], "step": 21, "ordinal_position": 22}, {"identifier": "J94", "position": [9, 6], "step": 22, "ordinal_position": 23}, {"identifier": "W47", "position": [9, 7], "step": 23, "ordinal_position": 24}, {"identifier": "P03", "position": [9, 8], "step": 24, "ordinal_position": 25}, {"identifier": "B41", "position": [9, 9], "step": 25, "ordinal_position": 26}, {"identifier": "G70", "position": [8, 9], "step": 26, "ordinal_position": 27}, {"identifier": "Q97", "position": [7, 9], "step": 27, "ordinal_position": 28}, {"identifier": "L63", "position": [6, 9], "step": 28, "ordinal_position": 29}, {"identifier": "O08", "position": [5, 9], "step": 29, "ordinal_position": 30}, {"identifier": "Q55", "position": [4, 9], "step": 30, "ordinal_position": 31}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 31, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_001.json"}} {"qa_id": "b37f5922f5694c0bbe1e79a6cf1458f3", "image_id": "L3-MazeLoop-test_11x11_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P34, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 57th position in this traversal?", "start_object_id": "P34", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [57], "ordinal_strings": ["57th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U45", "traversal_path": [{"identifier": "P34", "position": [9, 4], "step": 0, "ordinal_position": 1}, {"identifier": "W10", "position": [9, 5], "step": 1, "ordinal_position": 2}, {"identifier": "J94", "position": [9, 6], "step": 2, "ordinal_position": 3}, {"identifier": "W47", "position": [9, 7], "step": 3, "ordinal_position": 4}, {"identifier": "P03", "position": [9, 8], "step": 4, "ordinal_position": 5}, {"identifier": "B41", "position": [9, 9], "step": 5, "ordinal_position": 6}, {"identifier": "G70", "position": [8, 9], "step": 6, "ordinal_position": 7}, {"identifier": "Q97", "position": [7, 9], "step": 7, "ordinal_position": 8}, {"identifier": "L63", "position": [6, 9], "step": 8, "ordinal_position": 9}, {"identifier": "O08", "position": [5, 9], "step": 9, "ordinal_position": 10}, {"identifier": "Q55", "position": [4, 9], "step": 10, "ordinal_position": 11}, {"identifier": "G97", "position": [3, 9], "step": 11, "ordinal_position": 12}, {"identifier": "M63", "position": [2, 9], "step": 12, "ordinal_position": 13}, {"identifier": "V33", "position": [1, 9], "step": 13, "ordinal_position": 14}, {"identifier": "B21", "position": [1, 8], "step": 14, "ordinal_position": 15}, {"identifier": "U82", "position": [1, 7], "step": 15, "ordinal_position": 16}, {"identifier": "U45", "position": [1, 6], "step": 16, "ordinal_position": 17}, {"identifier": "U69", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "H08", "position": [2, 5], "step": 18, "ordinal_position": 19}, {"identifier": "J29", "position": [3, 5], "step": 19, "ordinal_position": 20}, {"identifier": "U79", "position": [3, 4], "step": 20, "ordinal_position": 21}, {"identifier": "T22", "position": [3, 3], "step": 21, "ordinal_position": 22}, {"identifier": "U57", "position": [2, 3], "step": 22, "ordinal_position": 23}, {"identifier": "D54", "position": [1, 3], "step": 23, "ordinal_position": 24}, {"identifier": "O47", "position": [1, 2], "step": 24, "ordinal_position": 25}, {"identifier": "Z18", "position": [1, 1], "step": 25, "ordinal_position": 26}, {"identifier": "Q12", "position": [2, 1], "step": 26, "ordinal_position": 27}, {"identifier": "E95", "position": [3, 1], "step": 27, "ordinal_position": 28}, {"identifier": "Y12", "position": [4, 1], "step": 28, "ordinal_position": 29}, {"identifier": "V04", "position": [5, 1], "step": 29, "ordinal_position": 30}, {"identifier": "H77", "position": [5, 2], "step": 30, "ordinal_position": 31}, {"identifier": "Y06", "position": [5, 3], "step": 31, "ordinal_position": 32}, {"identifier": "Q56", "position": [6, 3], "step": 32, "ordinal_position": 33}, {"identifier": "B78", "position": [7, 3], "step": 33, "ordinal_position": 34}, {"identifier": "P17", "position": [7, 2], "step": 34, "ordinal_position": 35}, {"identifier": "Q11", "position": [7, 1], "step": 35, "ordinal_position": 36}, {"identifier": "G90", "position": [8, 1], "step": 36, "ordinal_position": 37}, {"identifier": "J50", "position": [9, 1], "step": 37, "ordinal_position": 38}, {"identifier": "U51", "position": [9, 2], "step": 38, "ordinal_position": 39}, {"identifier": "M42", "position": [9, 3], "step": 39, "ordinal_position": 40}, {"identifier": "P34", "position": [9, 4], "step": 40, "ordinal_position": 41}, {"identifier": "W10", "position": [9, 5], "step": 41, "ordinal_position": 42}, {"identifier": "J94", "position": [9, 6], "step": 42, "ordinal_position": 43}, {"identifier": "W47", "position": [9, 7], "step": 43, "ordinal_position": 44}, {"identifier": "P03", "position": [9, 8], "step": 44, "ordinal_position": 45}, {"identifier": "B41", "position": [9, 9], "step": 45, "ordinal_position": 46}, {"identifier": "G70", "position": [8, 9], "step": 46, "ordinal_position": 47}, {"identifier": "Q97", "position": [7, 9], "step": 47, "ordinal_position": 48}, {"identifier": "L63", "position": [6, 9], "step": 48, "ordinal_position": 49}, {"identifier": "O08", "position": [5, 9], "step": 49, "ordinal_position": 50}, {"identifier": "Q55", "position": [4, 9], "step": 50, "ordinal_position": 51}, {"identifier": "G97", "position": [3, 9], "step": 51, "ordinal_position": 52}, {"identifier": "M63", "position": [2, 9], "step": 52, "ordinal_position": 53}, {"identifier": "V33", "position": [1, 9], "step": 53, "ordinal_position": 54}, {"identifier": "B21", "position": [1, 8], "step": 54, "ordinal_position": 55}, {"identifier": "U82", "position": [1, 7], "step": 55, "ordinal_position": 56}, {"identifier": "U45", "position": [1, 6], "step": 56, "ordinal_position": 57}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 57, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_001.json"}} {"qa_id": "41a57858482f477b9f37e3fca36e7bde", "image_id": "L3-MazeLoop-test_11x11_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B21, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 68th position in this traversal?", "start_object_id": "B21", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [68], "ordinal_strings": ["68th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "W10", "traversal_path": [{"identifier": "B21", "position": [1, 8], "step": 0, "ordinal_position": 1}, {"identifier": "U82", "position": [1, 7], "step": 1, "ordinal_position": 2}, {"identifier": "U45", "position": [1, 6], "step": 2, "ordinal_position": 3}, {"identifier": "U69", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "H08", "position": [2, 5], "step": 4, "ordinal_position": 5}, {"identifier": "J29", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "U79", "position": [3, 4], "step": 6, "ordinal_position": 7}, {"identifier": "T22", "position": [3, 3], "step": 7, "ordinal_position": 8}, {"identifier": "U57", "position": [2, 3], "step": 8, "ordinal_position": 9}, {"identifier": "D54", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "O47", "position": [1, 2], "step": 10, "ordinal_position": 11}, {"identifier": "Z18", "position": [1, 1], "step": 11, "ordinal_position": 12}, {"identifier": "Q12", "position": [2, 1], "step": 12, "ordinal_position": 13}, {"identifier": "E95", "position": [3, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Y12", "position": [4, 1], "step": 14, "ordinal_position": 15}, {"identifier": "V04", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "H77", "position": [5, 2], "step": 16, "ordinal_position": 17}, {"identifier": "Y06", "position": [5, 3], "step": 17, "ordinal_position": 18}, {"identifier": "Q56", "position": [6, 3], "step": 18, "ordinal_position": 19}, {"identifier": "B78", "position": [7, 3], "step": 19, "ordinal_position": 20}, {"identifier": "P17", "position": [7, 2], "step": 20, "ordinal_position": 21}, {"identifier": "Q11", "position": [7, 1], "step": 21, "ordinal_position": 22}, {"identifier": "G90", "position": [8, 1], "step": 22, "ordinal_position": 23}, {"identifier": "J50", "position": [9, 1], "step": 23, "ordinal_position": 24}, {"identifier": "U51", "position": [9, 2], "step": 24, "ordinal_position": 25}, {"identifier": "M42", "position": [9, 3], "step": 25, "ordinal_position": 26}, {"identifier": "P34", "position": [9, 4], "step": 26, "ordinal_position": 27}, {"identifier": "W10", "position": [9, 5], "step": 27, "ordinal_position": 28}, {"identifier": "J94", "position": [9, 6], "step": 28, "ordinal_position": 29}, {"identifier": "W47", "position": [9, 7], "step": 29, "ordinal_position": 30}, {"identifier": "P03", "position": [9, 8], "step": 30, "ordinal_position": 31}, {"identifier": "B41", "position": [9, 9], "step": 31, "ordinal_position": 32}, {"identifier": "G70", "position": [8, 9], "step": 32, "ordinal_position": 33}, {"identifier": "Q97", "position": [7, 9], "step": 33, "ordinal_position": 34}, {"identifier": "L63", "position": [6, 9], "step": 34, "ordinal_position": 35}, {"identifier": "O08", "position": [5, 9], "step": 35, "ordinal_position": 36}, {"identifier": "Q55", "position": [4, 9], "step": 36, "ordinal_position": 37}, {"identifier": "G97", "position": [3, 9], "step": 37, "ordinal_position": 38}, {"identifier": "M63", "position": [2, 9], "step": 38, "ordinal_position": 39}, {"identifier": "V33", "position": [1, 9], "step": 39, "ordinal_position": 40}, {"identifier": "B21", "position": [1, 8], "step": 40, "ordinal_position": 41}, {"identifier": "U82", "position": [1, 7], "step": 41, "ordinal_position": 42}, {"identifier": "U45", "position": [1, 6], "step": 42, "ordinal_position": 43}, {"identifier": "U69", "position": [1, 5], "step": 43, "ordinal_position": 44}, {"identifier": "H08", "position": [2, 5], "step": 44, "ordinal_position": 45}, {"identifier": "J29", "position": [3, 5], "step": 45, "ordinal_position": 46}, {"identifier": "U79", "position": [3, 4], "step": 46, "ordinal_position": 47}, {"identifier": "T22", "position": [3, 3], "step": 47, "ordinal_position": 48}, {"identifier": "U57", "position": [2, 3], "step": 48, "ordinal_position": 49}, {"identifier": "D54", "position": [1, 3], "step": 49, "ordinal_position": 50}, {"identifier": "O47", "position": [1, 2], "step": 50, "ordinal_position": 51}, {"identifier": "Z18", "position": [1, 1], "step": 51, "ordinal_position": 52}, {"identifier": "Q12", "position": [2, 1], "step": 52, "ordinal_position": 53}, {"identifier": "E95", "position": [3, 1], "step": 53, "ordinal_position": 54}, {"identifier": "Y12", "position": [4, 1], "step": 54, "ordinal_position": 55}, {"identifier": "V04", "position": [5, 1], "step": 55, "ordinal_position": 56}, {"identifier": "H77", "position": [5, 2], "step": 56, "ordinal_position": 57}, {"identifier": "Y06", "position": [5, 3], "step": 57, "ordinal_position": 58}, {"identifier": "Q56", "position": [6, 3], "step": 58, "ordinal_position": 59}, {"identifier": "B78", "position": [7, 3], "step": 59, "ordinal_position": 60}, {"identifier": "P17", "position": [7, 2], "step": 60, "ordinal_position": 61}, {"identifier": "Q11", "position": [7, 1], "step": 61, "ordinal_position": 62}, {"identifier": "G90", "position": [8, 1], "step": 62, "ordinal_position": 63}, {"identifier": "J50", "position": [9, 1], "step": 63, "ordinal_position": 64}, {"identifier": "U51", "position": [9, 2], "step": 64, "ordinal_position": 65}, {"identifier": "M42", "position": [9, 3], "step": 65, "ordinal_position": 66}, {"identifier": "P34", "position": [9, 4], "step": 66, "ordinal_position": 67}, {"identifier": "W10", "position": [9, 5], "step": 67, "ordinal_position": 68}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 68, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_001.json"}} {"qa_id": "888d4c1d029e4101897e5397fee1a399", "image_id": "L3-MazeLoop-test_11x11_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U57, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 221st position in this traversal?", "start_object_id": "U57", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [221], "ordinal_strings": ["221st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "M63", "traversal_path": [{"identifier": "U57", "position": [2, 3], "step": 0, "ordinal_position": 1}, {"identifier": "T22", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "U79", "position": [3, 4], "step": 2, "ordinal_position": 3}, {"identifier": "J29", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "I17", "position": [3, 6], "step": 4, "ordinal_position": 5}, {"identifier": "U05", "position": [3, 7], "step": 5, "ordinal_position": 6}, {"identifier": "Q10", "position": [4, 7], "step": 6, "ordinal_position": 7}, {"identifier": "X66", "position": [5, 7], "step": 7, "ordinal_position": 8}, {"identifier": "A50", "position": [5, 8], "step": 8, "ordinal_position": 9}, {"identifier": "O08", "position": [5, 9], "step": 9, "ordinal_position": 10}, {"identifier": "Q55", "position": [4, 9], "step": 10, "ordinal_position": 11}, {"identifier": "G97", "position": [3, 9], "step": 11, "ordinal_position": 12}, {"identifier": "M63", "position": [2, 9], "step": 12, "ordinal_position": 13}, {"identifier": "V33", "position": [1, 9], "step": 13, "ordinal_position": 14}, {"identifier": "B21", "position": [1, 8], "step": 14, "ordinal_position": 15}, {"identifier": "U82", "position": [1, 7], "step": 15, "ordinal_position": 16}, {"identifier": "U45", "position": [1, 6], "step": 16, "ordinal_position": 17}, {"identifier": "U69", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "H08", "position": [2, 5], "step": 18, "ordinal_position": 19}, {"identifier": "J29", "position": [3, 5], "step": 19, "ordinal_position": 20}, {"identifier": "I17", "position": [3, 6], "step": 20, "ordinal_position": 21}, {"identifier": "U05", "position": [3, 7], "step": 21, "ordinal_position": 22}, {"identifier": "Q10", "position": [4, 7], "step": 22, "ordinal_position": 23}, {"identifier": "X66", "position": [5, 7], "step": 23, "ordinal_position": 24}, {"identifier": "A50", "position": [5, 8], "step": 24, "ordinal_position": 25}, {"identifier": "O08", "position": [5, 9], "step": 25, "ordinal_position": 26}, {"identifier": "Q55", "position": [4, 9], "step": 26, "ordinal_position": 27}, {"identifier": "G97", "position": [3, 9], "step": 27, "ordinal_position": 28}, {"identifier": "M63", "position": [2, 9], "step": 28, "ordinal_position": 29}, {"identifier": "V33", "position": [1, 9], "step": 29, "ordinal_position": 30}, {"identifier": "B21", "position": [1, 8], "step": 30, "ordinal_position": 31}, {"identifier": "U82", "position": [1, 7], "step": 31, "ordinal_position": 32}, {"identifier": "U45", "position": [1, 6], "step": 32, "ordinal_position": 33}, {"identifier": "U69", "position": [1, 5], "step": 33, "ordinal_position": 34}, {"identifier": "H08", "position": [2, 5], "step": 34, "ordinal_position": 35}, {"identifier": "J29", "position": [3, 5], "step": 35, "ordinal_position": 36}, {"identifier": "I17", "position": [3, 6], "step": 36, "ordinal_position": 37}, {"identifier": "U05", "position": [3, 7], "step": 37, "ordinal_position": 38}, {"identifier": "Q10", "position": [4, 7], "step": 38, "ordinal_position": 39}, {"identifier": "X66", "position": [5, 7], "step": 39, "ordinal_position": 40}, {"identifier": "A50", "position": [5, 8], "step": 40, "ordinal_position": 41}, {"identifier": "O08", "position": [5, 9], "step": 41, "ordinal_position": 42}, {"identifier": "Q55", "position": [4, 9], "step": 42, "ordinal_position": 43}, {"identifier": "G97", "position": [3, 9], "step": 43, "ordinal_position": 44}, {"identifier": "M63", "position": [2, 9], "step": 44, "ordinal_position": 45}, {"identifier": "V33", "position": [1, 9], "step": 45, "ordinal_position": 46}, {"identifier": "B21", "position": [1, 8], "step": 46, "ordinal_position": 47}, {"identifier": "U82", "position": [1, 7], "step": 47, "ordinal_position": 48}, {"identifier": "U45", "position": [1, 6], "step": 48, "ordinal_position": 49}, {"identifier": "U69", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "H08", "position": [2, 5], "step": 50, "ordinal_position": 51}, {"identifier": "J29", "position": [3, 5], "step": 51, "ordinal_position": 52}, {"identifier": "I17", "position": [3, 6], "step": 52, "ordinal_position": 53}, {"identifier": "U05", "position": [3, 7], "step": 53, "ordinal_position": 54}, {"identifier": "Q10", "position": [4, 7], "step": 54, "ordinal_position": 55}, {"identifier": "X66", "position": [5, 7], "step": 55, "ordinal_position": 56}, {"identifier": "A50", "position": [5, 8], "step": 56, "ordinal_position": 57}, {"identifier": "O08", "position": [5, 9], "step": 57, "ordinal_position": 58}, {"identifier": "Q55", "position": [4, 9], "step": 58, "ordinal_position": 59}, {"identifier": "G97", "position": [3, 9], "step": 59, "ordinal_position": 60}, {"identifier": "M63", "position": [2, 9], "step": 60, "ordinal_position": 61}, {"identifier": "V33", "position": [1, 9], "step": 61, "ordinal_position": 62}, {"identifier": "B21", "position": [1, 8], "step": 62, "ordinal_position": 63}, {"identifier": "U82", "position": [1, 7], "step": 63, "ordinal_position": 64}, {"identifier": "U45", "position": [1, 6], "step": 64, "ordinal_position": 65}, {"identifier": "U69", "position": [1, 5], "step": 65, "ordinal_position": 66}, {"identifier": "H08", "position": [2, 5], "step": 66, "ordinal_position": 67}, {"identifier": "J29", "position": [3, 5], "step": 67, "ordinal_position": 68}, {"identifier": "I17", "position": [3, 6], "step": 68, "ordinal_position": 69}, {"identifier": "U05", "position": [3, 7], "step": 69, "ordinal_position": 70}, {"identifier": "Q10", "position": [4, 7], "step": 70, "ordinal_position": 71}, {"identifier": "X66", "position": [5, 7], "step": 71, "ordinal_position": 72}, {"identifier": "A50", "position": [5, 8], "step": 72, "ordinal_position": 73}, {"identifier": "O08", "position": [5, 9], "step": 73, "ordinal_position": 74}, {"identifier": "Q55", "position": [4, 9], "step": 74, "ordinal_position": 75}, {"identifier": "G97", "position": [3, 9], "step": 75, "ordinal_position": 76}, {"identifier": "M63", "position": [2, 9], "step": 76, "ordinal_position": 77}, {"identifier": "V33", "position": [1, 9], "step": 77, "ordinal_position": 78}, {"identifier": "B21", "position": [1, 8], "step": 78, "ordinal_position": 79}, {"identifier": "U82", "position": [1, 7], "step": 79, "ordinal_position": 80}, {"identifier": "U45", "position": [1, 6], "step": 80, "ordinal_position": 81}, {"identifier": "U69", "position": [1, 5], "step": 81, "ordinal_position": 82}, {"identifier": "H08", "position": [2, 5], "step": 82, "ordinal_position": 83}, {"identifier": "J29", "position": [3, 5], "step": 83, "ordinal_position": 84}, {"identifier": "I17", "position": [3, 6], "step": 84, "ordinal_position": 85}, {"identifier": "U05", "position": [3, 7], "step": 85, "ordinal_position": 86}, {"identifier": "Q10", "position": [4, 7], "step": 86, "ordinal_position": 87}, {"identifier": "X66", "position": [5, 7], "step": 87, "ordinal_position": 88}, {"identifier": "A50", "position": [5, 8], "step": 88, "ordinal_position": 89}, {"identifier": "O08", "position": [5, 9], "step": 89, "ordinal_position": 90}, {"identifier": "Q55", "position": [4, 9], "step": 90, "ordinal_position": 91}, {"identifier": "G97", "position": [3, 9], "step": 91, "ordinal_position": 92}, {"identifier": "M63", "position": [2, 9], "step": 92, "ordinal_position": 93}, {"identifier": "V33", "position": [1, 9], "step": 93, "ordinal_position": 94}, {"identifier": "B21", "position": [1, 8], "step": 94, "ordinal_position": 95}, {"identifier": "U82", "position": [1, 7], "step": 95, "ordinal_position": 96}, {"identifier": "U45", "position": [1, 6], "step": 96, "ordinal_position": 97}, {"identifier": "U69", "position": [1, 5], "step": 97, "ordinal_position": 98}, {"identifier": "H08", "position": [2, 5], "step": 98, "ordinal_position": 99}, {"identifier": "J29", "position": [3, 5], "step": 99, "ordinal_position": 100}, {"identifier": "I17", "position": [3, 6], "step": 100, "ordinal_position": 101}, {"identifier": "U05", "position": [3, 7], "step": 101, "ordinal_position": 102}, {"identifier": "Q10", "position": [4, 7], "step": 102, "ordinal_position": 103}, {"identifier": "X66", "position": [5, 7], "step": 103, "ordinal_position": 104}, {"identifier": "A50", "position": [5, 8], "step": 104, "ordinal_position": 105}, {"identifier": "O08", "position": [5, 9], "step": 105, "ordinal_position": 106}, {"identifier": "Q55", "position": [4, 9], "step": 106, "ordinal_position": 107}, {"identifier": "G97", "position": [3, 9], "step": 107, "ordinal_position": 108}, {"identifier": "M63", "position": [2, 9], "step": 108, "ordinal_position": 109}, {"identifier": "V33", "position": [1, 9], "step": 109, "ordinal_position": 110}, {"identifier": "B21", "position": [1, 8], "step": 110, "ordinal_position": 111}, {"identifier": "U82", "position": [1, 7], "step": 111, "ordinal_position": 112}, {"identifier": "U45", 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124, "ordinal_position": 125}, {"identifier": "V33", "position": [1, 9], "step": 125, "ordinal_position": 126}, {"identifier": "B21", "position": [1, 8], "step": 126, "ordinal_position": 127}, {"identifier": "U82", "position": [1, 7], "step": 127, "ordinal_position": 128}, {"identifier": "U45", "position": [1, 6], "step": 128, "ordinal_position": 129}, {"identifier": "U69", "position": [1, 5], "step": 129, "ordinal_position": 130}, {"identifier": "H08", "position": [2, 5], "step": 130, "ordinal_position": 131}, {"identifier": "J29", "position": [3, 5], "step": 131, "ordinal_position": 132}, {"identifier": "I17", "position": [3, 6], "step": 132, "ordinal_position": 133}, {"identifier": "U05", "position": [3, 7], "step": 133, "ordinal_position": 134}, {"identifier": "Q10", "position": [4, 7], "step": 134, "ordinal_position": 135}, {"identifier": "X66", "position": [5, 7], "step": 135, "ordinal_position": 136}, {"identifier": "A50", "position": [5, 8], "step": 136, "ordinal_position": 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161, "ordinal_position": 162}, {"identifier": "H08", "position": [2, 5], "step": 162, "ordinal_position": 163}, {"identifier": "J29", "position": [3, 5], "step": 163, "ordinal_position": 164}, {"identifier": "I17", "position": [3, 6], "step": 164, "ordinal_position": 165}, {"identifier": "U05", "position": [3, 7], "step": 165, "ordinal_position": 166}, {"identifier": "Q10", "position": [4, 7], "step": 166, "ordinal_position": 167}, {"identifier": "X66", "position": [5, 7], "step": 167, "ordinal_position": 168}, {"identifier": "A50", "position": [5, 8], "step": 168, "ordinal_position": 169}, {"identifier": "O08", "position": [5, 9], "step": 169, "ordinal_position": 170}, {"identifier": "Q55", "position": [4, 9], "step": 170, "ordinal_position": 171}, {"identifier": "G97", "position": [3, 9], "step": 171, "ordinal_position": 172}, {"identifier": "M63", "position": [2, 9], "step": 172, "ordinal_position": 173}, {"identifier": "V33", "position": [1, 9], "step": 173, "ordinal_position": 174}, {"identifier": "B21", "position": [1, 8], "step": 174, "ordinal_position": 175}, {"identifier": "U82", "position": [1, 7], "step": 175, "ordinal_position": 176}, {"identifier": "U45", "position": [1, 6], "step": 176, "ordinal_position": 177}, {"identifier": "U69", "position": [1, 5], "step": 177, "ordinal_position": 178}, {"identifier": "H08", "position": [2, 5], "step": 178, "ordinal_position": 179}, {"identifier": "J29", "position": [3, 5], "step": 179, "ordinal_position": 180}, {"identifier": "I17", "position": [3, 6], "step": 180, "ordinal_position": 181}, {"identifier": "U05", "position": [3, 7], "step": 181, "ordinal_position": 182}, {"identifier": "Q10", "position": [4, 7], "step": 182, "ordinal_position": 183}, {"identifier": "X66", "position": [5, 7], "step": 183, "ordinal_position": 184}, {"identifier": "A50", "position": [5, 8], "step": 184, "ordinal_position": 185}, {"identifier": "O08", "position": [5, 9], "step": 185, "ordinal_position": 186}, {"identifier": "Q55", "position": [4, 9], "step": 186, "ordinal_position": 187}, {"identifier": "G97", "position": [3, 9], "step": 187, "ordinal_position": 188}, {"identifier": "M63", "position": [2, 9], "step": 188, "ordinal_position": 189}, {"identifier": "V33", "position": [1, 9], "step": 189, "ordinal_position": 190}, {"identifier": "B21", "position": [1, 8], "step": 190, "ordinal_position": 191}, {"identifier": "U82", "position": [1, 7], "step": 191, "ordinal_position": 192}, {"identifier": "U45", "position": [1, 6], "step": 192, "ordinal_position": 193}, {"identifier": "U69", "position": [1, 5], "step": 193, "ordinal_position": 194}, {"identifier": "H08", "position": [2, 5], "step": 194, "ordinal_position": 195}, {"identifier": "J29", "position": [3, 5], "step": 195, "ordinal_position": 196}, {"identifier": "I17", "position": [3, 6], "step": 196, "ordinal_position": 197}, {"identifier": "U05", "position": [3, 7], "step": 197, "ordinal_position": 198}, {"identifier": "Q10", "position": [4, 7], "step": 198, "ordinal_position": 199}, {"identifier": "X66", "position": [5, 7], "step": 199, "ordinal_position": 200}, {"identifier": "A50", "position": [5, 8], "step": 200, "ordinal_position": 201}, {"identifier": "O08", "position": [5, 9], "step": 201, "ordinal_position": 202}, {"identifier": "Q55", "position": [4, 9], "step": 202, "ordinal_position": 203}, {"identifier": "G97", "position": [3, 9], "step": 203, "ordinal_position": 204}, {"identifier": "M63", "position": [2, 9], "step": 204, "ordinal_position": 205}, {"identifier": "V33", "position": [1, 9], "step": 205, "ordinal_position": 206}, {"identifier": "B21", "position": [1, 8], "step": 206, "ordinal_position": 207}, {"identifier": "U82", "position": [1, 7], "step": 207, "ordinal_position": 208}, {"identifier": "U45", "position": [1, 6], "step": 208, "ordinal_position": 209}, {"identifier": "U69", "position": [1, 5], "step": 209, "ordinal_position": 210}, {"identifier": "H08", "position": [2, 5], "step": 210, "ordinal_position": 211}, {"identifier": "J29", "position": [3, 5], "step": 211, "ordinal_position": 212}, {"identifier": "I17", "position": [3, 6], "step": 212, "ordinal_position": 213}, {"identifier": "U05", "position": [3, 7], "step": 213, "ordinal_position": 214}, {"identifier": "Q10", "position": [4, 7], "step": 214, "ordinal_position": 215}, {"identifier": "X66", "position": [5, 7], "step": 215, "ordinal_position": 216}, {"identifier": "A50", "position": [5, 8], "step": 216, "ordinal_position": 217}, {"identifier": "O08", "position": [5, 9], "step": 217, "ordinal_position": 218}, {"identifier": "Q55", "position": [4, 9], "step": 218, "ordinal_position": 219}, {"identifier": "G97", "position": [3, 9], "step": 219, "ordinal_position": 220}, {"identifier": "M63", "position": [2, 9], "step": 220, "ordinal_position": 221}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 221, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_001.json"}} {"qa_id": "065061363f0c415881a8bb35304ae120", "image_id": "L3-MazeLoop-test_11x11_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U69, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 290th position in this traversal?", "start_object_id": "U69", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [290], "ordinal_strings": ["290th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "E42", "traversal_path": [{"identifier": "U69", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "U45", "position": [1, 6], "step": 1, "ordinal_position": 2}, {"identifier": "U82", "position": [1, 7], "step": 2, "ordinal_position": 3}, {"identifier": "B21", "position": [1, 8], "step": 3, "ordinal_position": 4}, {"identifier": "V33", "position": [1, 9], "step": 4, "ordinal_position": 5}, {"identifier": "M63", "position": [2, 9], "step": 5, "ordinal_position": 6}, {"identifier": "G97", "position": [3, 9], "step": 6, "ordinal_position": 7}, {"identifier": "Q55", "position": [4, 9], "step": 7, "ordinal_position": 8}, {"identifier": "O08", "position": [5, 9], "step": 8, "ordinal_position": 9}, {"identifier": "L63", "position": [6, 9], "step": 9, "ordinal_position": 10}, {"identifier": "Q97", "position": [7, 9], "step": 10, "ordinal_position": 11}, {"identifier": "G70", "position": [8, 9], "step": 11, "ordinal_position": 12}, {"identifier": "B41", "position": [9, 9], "step": 12, "ordinal_position": 13}, {"identifier": "P03", "position": [9, 8], "step": 13, "ordinal_position": 14}, {"identifier": "W47", "position": [9, 7], "step": 14, "ordinal_position": 15}, {"identifier": "J94", "position": [9, 6], "step": 15, "ordinal_position": 16}, {"identifier": "W10", "position": [9, 5], "step": 16, "ordinal_position": 17}, {"identifier": "P34", "position": [9, 4], "step": 17, "ordinal_position": 18}, {"identifier": "M42", "position": [9, 3], "step": 18, "ordinal_position": 19}, {"identifier": "U51", "position": [9, 2], "step": 19, "ordinal_position": 20}, {"identifier": "J50", "position": [9, 1], "step": 20, "ordinal_position": 21}, {"identifier": "G90", "position": [8, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Q11", "position": [7, 1], "step": 22, "ordinal_position": 23}, {"identifier": "P17", "position": [7, 2], "step": 23, "ordinal_position": 24}, {"identifier": "B78", "position": [7, 3], "step": 24, "ordinal_position": 25}, {"identifier": "E42", "position": [7, 4], "step": 25, "ordinal_position": 26}, {"identifier": "Y29", "position": [7, 5], "step": 26, "ordinal_position": 27}, {"identifier": "R97", "position": [6, 5], "step": 27, "ordinal_position": 28}, {"identifier": "R28", "position": [5, 5], "step": 28, "ordinal_position": 29}, {"identifier": "W45", "position": [5, 6], "step": 29, "ordinal_position": 30}, {"identifier": "X66", "position": [5, 7], "step": 30, "ordinal_position": 31}, {"identifier": "A50", "position": [5, 8], "step": 31, "ordinal_position": 32}, {"identifier": "O08", "position": [5, 9], "step": 32, "ordinal_position": 33}, {"identifier": "L63", "position": [6, 9], "step": 33, "ordinal_position": 34}, {"identifier": "Q97", "position": [7, 9], "step": 34, "ordinal_position": 35}, {"identifier": "G70", "position": [8, 9], "step": 35, "ordinal_position": 36}, {"identifier": "B41", "position": [9, 9], "step": 36, "ordinal_position": 37}, {"identifier": "P03", "position": [9, 8], "step": 37, "ordinal_position": 38}, {"identifier": "W47", "position": [9, 7], "step": 38, "ordinal_position": 39}, {"identifier": "J94", "position": [9, 6], "step": 39, "ordinal_position": 40}, {"identifier": "W10", "position": [9, 5], "step": 40, "ordinal_position": 41}, {"identifier": "P34", "position": [9, 4], "step": 41, "ordinal_position": 42}, {"identifier": "M42", "position": [9, 3], "step": 42, "ordinal_position": 43}, {"identifier": "U51", "position": [9, 2], "step": 43, "ordinal_position": 44}, {"identifier": "J50", "position": [9, 1], "step": 44, "ordinal_position": 45}, {"identifier": "G90", "position": [8, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Q11", "position": [7, 1], "step": 46, "ordinal_position": 47}, {"identifier": "P17", "position": [7, 2], "step": 47, "ordinal_position": 48}, {"identifier": "B78", "position": [7, 3], "step": 48, "ordinal_position": 49}, {"identifier": "E42", "position": [7, 4], "step": 49, "ordinal_position": 50}, {"identifier": "Y29", "position": [7, 5], "step": 50, "ordinal_position": 51}, {"identifier": "R97", "position": [6, 5], "step": 51, "ordinal_position": 52}, {"identifier": "R28", "position": [5, 5], "step": 52, "ordinal_position": 53}, {"identifier": "W45", "position": [5, 6], "step": 53, "ordinal_position": 54}, {"identifier": "X66", "position": [5, 7], "step": 54, "ordinal_position": 55}, {"identifier": "A50", "position": [5, 8], "step": 55, "ordinal_position": 56}, {"identifier": "O08", "position": [5, 9], "step": 56, "ordinal_position": 57}, {"identifier": "L63", "position": [6, 9], "step": 57, "ordinal_position": 58}, {"identifier": "Q97", "position": [7, 9], "step": 58, "ordinal_position": 59}, {"identifier": "G70", "position": [8, 9], "step": 59, "ordinal_position": 60}, {"identifier": "B41", "position": [9, 9], "step": 60, "ordinal_position": 61}, {"identifier": "P03", "position": [9, 8], "step": 61, "ordinal_position": 62}, {"identifier": "W47", "position": [9, 7], "step": 62, "ordinal_position": 63}, {"identifier": "J94", "position": [9, 6], "step": 63, "ordinal_position": 64}, {"identifier": "W10", "position": [9, 5], "step": 64, "ordinal_position": 65}, {"identifier": "P34", "position": [9, 4], "step": 65, "ordinal_position": 66}, {"identifier": "M42", "position": [9, 3], "step": 66, "ordinal_position": 67}, {"identifier": "U51", "position": [9, 2], "step": 67, "ordinal_position": 68}, {"identifier": "J50", "position": [9, 1], "step": 68, "ordinal_position": 69}, {"identifier": "G90", "position": [8, 1], "step": 69, "ordinal_position": 70}, {"identifier": "Q11", "position": [7, 1], "step": 70, "ordinal_position": 71}, {"identifier": "P17", "position": [7, 2], "step": 71, "ordinal_position": 72}, {"identifier": "B78", "position": [7, 3], "step": 72, "ordinal_position": 73}, {"identifier": "E42", "position": [7, 4], "step": 73, "ordinal_position": 74}, {"identifier": "Y29", "position": [7, 5], "step": 74, "ordinal_position": 75}, {"identifier": "R97", "position": [6, 5], "step": 75, "ordinal_position": 76}, {"identifier": "R28", "position": [5, 5], "step": 76, "ordinal_position": 77}, {"identifier": "W45", "position": [5, 6], "step": 77, "ordinal_position": 78}, {"identifier": "X66", "position": [5, 7], "step": 78, "ordinal_position": 79}, {"identifier": "A50", "position": [5, 8], "step": 79, "ordinal_position": 80}, {"identifier": "O08", "position": [5, 9], "step": 80, "ordinal_position": 81}, {"identifier": "L63", "position": [6, 9], "step": 81, "ordinal_position": 82}, {"identifier": "Q97", "position": [7, 9], "step": 82, "ordinal_position": 83}, {"identifier": "G70", "position": [8, 9], "step": 83, "ordinal_position": 84}, {"identifier": "B41", "position": [9, 9], "step": 84, 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"position": [7, 4], "step": 97, "ordinal_position": 98}, {"identifier": "Y29", "position": [7, 5], "step": 98, "ordinal_position": 99}, {"identifier": "R97", "position": [6, 5], "step": 99, "ordinal_position": 100}, {"identifier": "R28", "position": [5, 5], "step": 100, "ordinal_position": 101}, {"identifier": "W45", "position": [5, 6], "step": 101, "ordinal_position": 102}, {"identifier": "X66", "position": [5, 7], "step": 102, "ordinal_position": 103}, {"identifier": "A50", "position": [5, 8], "step": 103, "ordinal_position": 104}, {"identifier": "O08", "position": [5, 9], "step": 104, "ordinal_position": 105}, {"identifier": "L63", "position": [6, 9], "step": 105, "ordinal_position": 106}, {"identifier": "Q97", "position": [7, 9], "step": 106, "ordinal_position": 107}, {"identifier": "G70", "position": [8, 9], "step": 107, "ordinal_position": 108}, {"identifier": "B41", "position": [9, 9], "step": 108, "ordinal_position": 109}, {"identifier": "P03", "position": [9, 8], "step": 109, 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257, "ordinal_position": 258}, {"identifier": "M42", "position": [9, 3], "step": 258, "ordinal_position": 259}, {"identifier": "U51", "position": [9, 2], "step": 259, "ordinal_position": 260}, {"identifier": "J50", "position": [9, 1], "step": 260, "ordinal_position": 261}, {"identifier": "G90", "position": [8, 1], "step": 261, "ordinal_position": 262}, {"identifier": "Q11", "position": [7, 1], "step": 262, "ordinal_position": 263}, {"identifier": "P17", "position": [7, 2], "step": 263, "ordinal_position": 264}, {"identifier": "B78", "position": [7, 3], "step": 264, "ordinal_position": 265}, {"identifier": "E42", "position": [7, 4], "step": 265, "ordinal_position": 266}, {"identifier": "Y29", "position": [7, 5], "step": 266, "ordinal_position": 267}, {"identifier": "R97", "position": [6, 5], "step": 267, "ordinal_position": 268}, {"identifier": "R28", "position": [5, 5], "step": 268, "ordinal_position": 269}, {"identifier": "W45", "position": [5, 6], "step": 269, "ordinal_position": 270}, {"identifier": "X66", "position": [5, 7], "step": 270, "ordinal_position": 271}, {"identifier": "A50", "position": [5, 8], "step": 271, "ordinal_position": 272}, {"identifier": "O08", "position": [5, 9], "step": 272, "ordinal_position": 273}, {"identifier": "L63", "position": [6, 9], "step": 273, "ordinal_position": 274}, {"identifier": "Q97", "position": [7, 9], "step": 274, "ordinal_position": 275}, {"identifier": "G70", "position": [8, 9], "step": 275, "ordinal_position": 276}, {"identifier": "B41", "position": [9, 9], "step": 276, "ordinal_position": 277}, {"identifier": "P03", "position": [9, 8], "step": 277, "ordinal_position": 278}, {"identifier": "W47", "position": [9, 7], "step": 278, "ordinal_position": 279}, {"identifier": "J94", "position": [9, 6], "step": 279, "ordinal_position": 280}, {"identifier": "W10", "position": [9, 5], "step": 280, "ordinal_position": 281}, {"identifier": "P34", "position": [9, 4], "step": 281, "ordinal_position": 282}, {"identifier": "M42", "position": [9, 3], "step": 282, "ordinal_position": 283}, {"identifier": "U51", "position": [9, 2], "step": 283, "ordinal_position": 284}, {"identifier": "J50", "position": [9, 1], "step": 284, "ordinal_position": 285}, {"identifier": "G90", "position": [8, 1], "step": 285, "ordinal_position": 286}, {"identifier": "Q11", "position": [7, 1], "step": 286, "ordinal_position": 287}, {"identifier": "P17", "position": [7, 2], "step": 287, "ordinal_position": 288}, {"identifier": "B78", "position": [7, 3], "step": 288, "ordinal_position": 289}, {"identifier": "E42", "position": [7, 4], "step": 289, "ordinal_position": 290}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 290, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_001.json"}} {"qa_id": "33eb7a4f07ef4299ac17fbbe4cce9888", "image_id": "L3-MazeLoop-test_11x11_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U82, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 123rd position in this traversal?", "start_object_id": "U82", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [123], "ordinal_strings": ["123rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "O08", "traversal_path": [{"identifier": "U82", "position": [1, 7], "step": 0, "ordinal_position": 1}, {"identifier": "U45", "position": [1, 6], "step": 1, "ordinal_position": 2}, {"identifier": "U69", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "H08", "position": [2, 5], "step": 3, "ordinal_position": 4}, {"identifier": "J29", "position": [3, 5], "step": 4, "ordinal_position": 5}, {"identifier": "I17", "position": [3, 6], "step": 5, "ordinal_position": 6}, {"identifier": "U05", "position": [3, 7], "step": 6, "ordinal_position": 7}, {"identifier": "Q10", "position": [4, 7], "step": 7, "ordinal_position": 8}, {"identifier": "X66", "position": [5, 7], "step": 8, "ordinal_position": 9}, {"identifier": "A50", "position": [5, 8], "step": 9, "ordinal_position": 10}, {"identifier": "O08", "position": [5, 9], "step": 10, "ordinal_position": 11}, {"identifier": "Q55", "position": [4, 9], "step": 11, "ordinal_position": 12}, {"identifier": "G97", "position": [3, 9], "step": 12, "ordinal_position": 13}, {"identifier": "M63", "position": [2, 9], "step": 13, "ordinal_position": 14}, {"identifier": "V33", "position": [1, 9], "step": 14, "ordinal_position": 15}, {"identifier": "B21", "position": [1, 8], "step": 15, "ordinal_position": 16}, {"identifier": "U82", "position": [1, 7], "step": 16, "ordinal_position": 17}, {"identifier": "U45", "position": [1, 6], "step": 17, "ordinal_position": 18}, {"identifier": "U69", "position": [1, 5], "step": 18, "ordinal_position": 19}, {"identifier": "H08", "position": [2, 5], "step": 19, "ordinal_position": 20}, {"identifier": "J29", "position": [3, 5], "step": 20, "ordinal_position": 21}, {"identifier": "I17", "position": [3, 6], "step": 21, "ordinal_position": 22}, {"identifier": "U05", "position": [3, 7], "step": 22, "ordinal_position": 23}, {"identifier": "Q10", "position": [4, 7], "step": 23, "ordinal_position": 24}, {"identifier": "X66", "position": [5, 7], "step": 24, "ordinal_position": 25}, {"identifier": "A50", "position": [5, 8], "step": 25, "ordinal_position": 26}, {"identifier": "O08", "position": [5, 9], "step": 26, "ordinal_position": 27}, {"identifier": "Q55", "position": [4, 9], "step": 27, "ordinal_position": 28}, {"identifier": "G97", "position": [3, 9], "step": 28, "ordinal_position": 29}, {"identifier": "M63", "position": [2, 9], "step": 29, "ordinal_position": 30}, {"identifier": "V33", "position": [1, 9], "step": 30, "ordinal_position": 31}, {"identifier": "B21", "position": [1, 8], "step": 31, "ordinal_position": 32}, {"identifier": "U82", "position": [1, 7], "step": 32, "ordinal_position": 33}, {"identifier": "U45", "position": [1, 6], "step": 33, "ordinal_position": 34}, {"identifier": "U69", "position": [1, 5], "step": 34, "ordinal_position": 35}, {"identifier": "H08", "position": [2, 5], "step": 35, "ordinal_position": 36}, {"identifier": "J29", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "I17", "position": [3, 6], "step": 37, "ordinal_position": 38}, {"identifier": "U05", "position": [3, 7], "step": 38, "ordinal_position": 39}, {"identifier": "Q10", "position": [4, 7], "step": 39, "ordinal_position": 40}, {"identifier": "X66", "position": [5, 7], "step": 40, "ordinal_position": 41}, {"identifier": "A50", "position": [5, 8], "step": 41, "ordinal_position": 42}, {"identifier": "O08", "position": [5, 9], "step": 42, "ordinal_position": 43}, {"identifier": "Q55", "position": [4, 9], "step": 43, "ordinal_position": 44}, {"identifier": "G97", "position": [3, 9], "step": 44, "ordinal_position": 45}, {"identifier": "M63", "position": [2, 9], "step": 45, "ordinal_position": 46}, {"identifier": "V33", "position": [1, 9], "step": 46, "ordinal_position": 47}, {"identifier": "B21", "position": [1, 8], "step": 47, "ordinal_position": 48}, {"identifier": "U82", "position": [1, 7], "step": 48, "ordinal_position": 49}, {"identifier": "U45", "position": [1, 6], "step": 49, "ordinal_position": 50}, {"identifier": "U69", "position": [1, 5], "step": 50, "ordinal_position": 51}, {"identifier": "H08", "position": [2, 5], "step": 51, "ordinal_position": 52}, {"identifier": "J29", "position": [3, 5], "step": 52, "ordinal_position": 53}, {"identifier": "I17", "position": [3, 6], "step": 53, "ordinal_position": 54}, {"identifier": "U05", "position": [3, 7], "step": 54, "ordinal_position": 55}, {"identifier": "Q10", "position": [4, 7], "step": 55, "ordinal_position": 56}, {"identifier": "X66", "position": [5, 7], "step": 56, "ordinal_position": 57}, {"identifier": "A50", "position": [5, 8], "step": 57, "ordinal_position": 58}, {"identifier": "O08", "position": [5, 9], "step": 58, "ordinal_position": 59}, {"identifier": "Q55", "position": [4, 9], "step": 59, "ordinal_position": 60}, {"identifier": "G97", "position": [3, 9], "step": 60, "ordinal_position": 61}, {"identifier": "M63", "position": [2, 9], "step": 61, "ordinal_position": 62}, {"identifier": "V33", "position": [1, 9], "step": 62, "ordinal_position": 63}, {"identifier": "B21", "position": [1, 8], "step": 63, "ordinal_position": 64}, {"identifier": "U82", "position": [1, 7], "step": 64, "ordinal_position": 65}, {"identifier": "U45", "position": [1, 6], "step": 65, "ordinal_position": 66}, {"identifier": "U69", "position": [1, 5], "step": 66, "ordinal_position": 67}, {"identifier": "H08", "position": [2, 5], "step": 67, "ordinal_position": 68}, {"identifier": "J29", "position": [3, 5], "step": 68, "ordinal_position": 69}, {"identifier": "I17", "position": [3, 6], "step": 69, "ordinal_position": 70}, {"identifier": "U05", "position": [3, 7], "step": 70, "ordinal_position": 71}, {"identifier": "Q10", "position": [4, 7], "step": 71, "ordinal_position": 72}, {"identifier": "X66", "position": [5, 7], "step": 72, "ordinal_position": 73}, {"identifier": "A50", "position": [5, 8], "step": 73, "ordinal_position": 74}, {"identifier": "O08", "position": [5, 9], "step": 74, "ordinal_position": 75}, {"identifier": "Q55", "position": [4, 9], "step": 75, "ordinal_position": 76}, {"identifier": "G97", "position": [3, 9], "step": 76, "ordinal_position": 77}, {"identifier": "M63", "position": [2, 9], "step": 77, "ordinal_position": 78}, {"identifier": "V33", "position": [1, 9], "step": 78, "ordinal_position": 79}, {"identifier": "B21", "position": [1, 8], "step": 79, "ordinal_position": 80}, {"identifier": "U82", "position": [1, 7], "step": 80, "ordinal_position": 81}, {"identifier": "U45", "position": [1, 6], "step": 81, "ordinal_position": 82}, {"identifier": "U69", "position": [1, 5], "step": 82, "ordinal_position": 83}, {"identifier": "H08", "position": [2, 5], "step": 83, "ordinal_position": 84}, {"identifier": "J29", "position": [3, 5], "step": 84, "ordinal_position": 85}, {"identifier": "I17", "position": [3, 6], "step": 85, "ordinal_position": 86}, {"identifier": "U05", "position": [3, 7], "step": 86, "ordinal_position": 87}, {"identifier": "Q10", "position": [4, 7], "step": 87, "ordinal_position": 88}, {"identifier": "X66", "position": [5, 7], "step": 88, "ordinal_position": 89}, {"identifier": "A50", "position": [5, 8], "step": 89, "ordinal_position": 90}, {"identifier": "O08", "position": [5, 9], "step": 90, "ordinal_position": 91}, {"identifier": "Q55", "position": [4, 9], "step": 91, "ordinal_position": 92}, {"identifier": "G97", "position": [3, 9], "step": 92, "ordinal_position": 93}, {"identifier": "M63", "position": [2, 9], "step": 93, "ordinal_position": 94}, {"identifier": "V33", "position": [1, 9], "step": 94, "ordinal_position": 95}, {"identifier": "B21", "position": [1, 8], "step": 95, "ordinal_position": 96}, {"identifier": "U82", "position": [1, 7], "step": 96, "ordinal_position": 97}, {"identifier": "U45", "position": [1, 6], "step": 97, "ordinal_position": 98}, {"identifier": "U69", "position": [1, 5], "step": 98, "ordinal_position": 99}, {"identifier": "H08", "position": [2, 5], "step": 99, "ordinal_position": 100}, {"identifier": "J29", "position": [3, 5], "step": 100, "ordinal_position": 101}, {"identifier": "I17", "position": [3, 6], "step": 101, "ordinal_position": 102}, {"identifier": "U05", "position": [3, 7], "step": 102, "ordinal_position": 103}, {"identifier": "Q10", "position": [4, 7], "step": 103, "ordinal_position": 104}, {"identifier": "X66", "position": [5, 7], "step": 104, "ordinal_position": 105}, {"identifier": "A50", "position": [5, 8], "step": 105, "ordinal_position": 106}, {"identifier": "O08", "position": [5, 9], "step": 106, "ordinal_position": 107}, {"identifier": "Q55", "position": [4, 9], "step": 107, "ordinal_position": 108}, {"identifier": "G97", "position": [3, 9], "step": 108, "ordinal_position": 109}, {"identifier": "M63", "position": [2, 9], "step": 109, "ordinal_position": 110}, {"identifier": "V33", "position": [1, 9], "step": 110, "ordinal_position": 111}, {"identifier": "B21", "position": [1, 8], "step": 111, "ordinal_position": 112}, {"identifier": "U82", "position": [1, 7], "step": 112, "ordinal_position": 113}, {"identifier": "U45", "position": [1, 6], "step": 113, "ordinal_position": 114}, {"identifier": "U69", "position": [1, 5], "step": 114, "ordinal_position": 115}, {"identifier": "H08", "position": [2, 5], "step": 115, "ordinal_position": 116}, {"identifier": "J29", "position": [3, 5], "step": 116, "ordinal_position": 117}, {"identifier": "I17", "position": [3, 6], "step": 117, "ordinal_position": 118}, {"identifier": "U05", "position": [3, 7], "step": 118, "ordinal_position": 119}, {"identifier": "Q10", "position": [4, 7], "step": 119, "ordinal_position": 120}, {"identifier": "X66", "position": [5, 7], "step": 120, "ordinal_position": 121}, {"identifier": "A50", "position": [5, 8], "step": 121, "ordinal_position": 122}, {"identifier": "O08", "position": [5, 9], "step": 122, "ordinal_position": 123}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 123, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_001.json"}} {"qa_id": "d15157adb5f2427f835045a7dd6382cc", "image_id": "L3-MazeLoop-test_11x11_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J29, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 100th position in this traversal?", "start_object_id": "J29", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [100], "ordinal_strings": ["100th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "J94", "traversal_path": [{"identifier": "J29", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "I17", "position": [3, 6], "step": 1, "ordinal_position": 2}, {"identifier": "U05", "position": [3, 7], "step": 2, "ordinal_position": 3}, {"identifier": "Q10", "position": [4, 7], "step": 3, "ordinal_position": 4}, {"identifier": "X66", "position": [5, 7], "step": 4, "ordinal_position": 5}, {"identifier": "W45", "position": [5, 6], "step": 5, "ordinal_position": 6}, {"identifier": "R28", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "R97", "position": [6, 5], "step": 7, "ordinal_position": 8}, {"identifier": "Y29", "position": [7, 5], "step": 8, "ordinal_position": 9}, {"identifier": "E42", "position": [7, 4], "step": 9, "ordinal_position": 10}, {"identifier": "B78", "position": [7, 3], "step": 10, "ordinal_position": 11}, {"identifier": "P17", "position": [7, 2], "step": 11, "ordinal_position": 12}, {"identifier": "Q11", "position": [7, 1], "step": 12, "ordinal_position": 13}, {"identifier": "G90", "position": [8, 1], "step": 13, "ordinal_position": 14}, {"identifier": "J50", "position": [9, 1], "step": 14, "ordinal_position": 15}, {"identifier": "U51", "position": [9, 2], "step": 15, "ordinal_position": 16}, {"identifier": "M42", "position": [9, 3], "step": 16, "ordinal_position": 17}, {"identifier": "P34", "position": [9, 4], "step": 17, "ordinal_position": 18}, {"identifier": "W10", "position": [9, 5], "step": 18, "ordinal_position": 19}, {"identifier": "J94", "position": [9, 6], "step": 19, "ordinal_position": 20}, {"identifier": "W47", "position": [9, 7], "step": 20, "ordinal_position": 21}, {"identifier": "P03", "position": [9, 8], "step": 21, "ordinal_position": 22}, {"identifier": "B41", "position": [9, 9], "step": 22, "ordinal_position": 23}, {"identifier": "G70", "position": [8, 9], "step": 23, "ordinal_position": 24}, {"identifier": "Q97", "position": [7, 9], "step": 24, "ordinal_position": 25}, {"identifier": "L63", "position": [6, 9], "step": 25, "ordinal_position": 26}, {"identifier": "O08", "position": [5, 9], "step": 26, "ordinal_position": 27}, {"identifier": "Q55", "position": [4, 9], "step": 27, "ordinal_position": 28}, {"identifier": "G97", "position": [3, 9], "step": 28, "ordinal_position": 29}, {"identifier": "M63", "position": [2, 9], "step": 29, "ordinal_position": 30}, {"identifier": "V33", "position": [1, 9], "step": 30, "ordinal_position": 31}, {"identifier": "B21", "position": [1, 8], "step": 31, "ordinal_position": 32}, {"identifier": "U82", "position": [1, 7], "step": 32, "ordinal_position": 33}, {"identifier": "U45", "position": [1, 6], "step": 33, "ordinal_position": 34}, {"identifier": "U69", "position": [1, 5], "step": 34, "ordinal_position": 35}, {"identifier": "H08", "position": [2, 5], "step": 35, "ordinal_position": 36}, {"identifier": "J29", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "U79", "position": [3, 4], "step": 37, "ordinal_position": 38}, {"identifier": "T22", "position": [3, 3], "step": 38, "ordinal_position": 39}, {"identifier": "U57", "position": [2, 3], "step": 39, "ordinal_position": 40}, {"identifier": "D54", "position": [1, 3], "step": 40, "ordinal_position": 41}, {"identifier": "O47", "position": [1, 2], "step": 41, "ordinal_position": 42}, {"identifier": "Z18", "position": [1, 1], "step": 42, "ordinal_position": 43}, {"identifier": "Q12", "position": [2, 1], "step": 43, "ordinal_position": 44}, {"identifier": "E95", "position": [3, 1], "step": 44, "ordinal_position": 45}, {"identifier": "Y12", "position": [4, 1], "step": 45, "ordinal_position": 46}, {"identifier": "V04", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "H77", "position": [5, 2], "step": 47, "ordinal_position": 48}, {"identifier": "Y06", "position": [5, 3], "step": 48, "ordinal_position": 49}, {"identifier": "Q56", "position": [6, 3], "step": 49, "ordinal_position": 50}, {"identifier": "B78", "position": [7, 3], "step": 50, "ordinal_position": 51}, {"identifier": "P17", "position": [7, 2], "step": 51, "ordinal_position": 52}, {"identifier": "Q11", "position": [7, 1], "step": 52, "ordinal_position": 53}, {"identifier": "G90", "position": [8, 1], "step": 53, "ordinal_position": 54}, {"identifier": "J50", "position": [9, 1], "step": 54, "ordinal_position": 55}, {"identifier": "U51", "position": [9, 2], "step": 55, "ordinal_position": 56}, {"identifier": "M42", "position": [9, 3], "step": 56, "ordinal_position": 57}, {"identifier": "P34", "position": [9, 4], "step": 57, "ordinal_position": 58}, {"identifier": "W10", "position": [9, 5], "step": 58, "ordinal_position": 59}, {"identifier": "J94", "position": [9, 6], "step": 59, "ordinal_position": 60}, {"identifier": "W47", "position": [9, 7], "step": 60, "ordinal_position": 61}, {"identifier": "P03", "position": [9, 8], "step": 61, "ordinal_position": 62}, {"identifier": "B41", "position": [9, 9], "step": 62, "ordinal_position": 63}, {"identifier": "G70", "position": [8, 9], "step": 63, "ordinal_position": 64}, {"identifier": "Q97", "position": [7, 9], "step": 64, "ordinal_position": 65}, {"identifier": "L63", "position": [6, 9], "step": 65, "ordinal_position": 66}, {"identifier": "O08", "position": [5, 9], "step": 66, "ordinal_position": 67}, {"identifier": "Q55", "position": [4, 9], "step": 67, "ordinal_position": 68}, {"identifier": "G97", "position": [3, 9], "step": 68, "ordinal_position": 69}, {"identifier": "M63", "position": [2, 9], "step": 69, "ordinal_position": 70}, {"identifier": "V33", "position": [1, 9], "step": 70, "ordinal_position": 71}, {"identifier": "B21", "position": [1, 8], "step": 71, "ordinal_position": 72}, {"identifier": "U82", "position": [1, 7], "step": 72, "ordinal_position": 73}, {"identifier": "U45", "position": [1, 6], "step": 73, "ordinal_position": 74}, {"identifier": "U69", "position": [1, 5], "step": 74, "ordinal_position": 75}, {"identifier": "H08", "position": [2, 5], "step": 75, "ordinal_position": 76}, {"identifier": "J29", "position": [3, 5], "step": 76, "ordinal_position": 77}, {"identifier": "U79", "position": [3, 4], "step": 77, "ordinal_position": 78}, {"identifier": "T22", "position": [3, 3], "step": 78, "ordinal_position": 79}, {"identifier": "U57", "position": [2, 3], "step": 79, "ordinal_position": 80}, {"identifier": "D54", "position": [1, 3], "step": 80, "ordinal_position": 81}, {"identifier": "O47", "position": [1, 2], "step": 81, "ordinal_position": 82}, {"identifier": "Z18", "position": [1, 1], "step": 82, "ordinal_position": 83}, {"identifier": "Q12", "position": [2, 1], "step": 83, "ordinal_position": 84}, {"identifier": "E95", "position": [3, 1], "step": 84, "ordinal_position": 85}, {"identifier": "Y12", "position": [4, 1], "step": 85, "ordinal_position": 86}, {"identifier": "V04", "position": [5, 1], "step": 86, "ordinal_position": 87}, {"identifier": "H77", "position": [5, 2], "step": 87, "ordinal_position": 88}, {"identifier": "Y06", "position": [5, 3], "step": 88, "ordinal_position": 89}, {"identifier": "Q56", "position": [6, 3], "step": 89, "ordinal_position": 90}, {"identifier": "B78", "position": [7, 3], "step": 90, "ordinal_position": 91}, {"identifier": "P17", "position": [7, 2], "step": 91, "ordinal_position": 92}, {"identifier": "Q11", "position": [7, 1], "step": 92, "ordinal_position": 93}, {"identifier": "G90", "position": [8, 1], "step": 93, "ordinal_position": 94}, {"identifier": "J50", "position": [9, 1], "step": 94, "ordinal_position": 95}, {"identifier": "U51", "position": [9, 2], "step": 95, "ordinal_position": 96}, {"identifier": "M42", "position": [9, 3], "step": 96, "ordinal_position": 97}, {"identifier": "P34", "position": [9, 4], "step": 97, "ordinal_position": 98}, {"identifier": "W10", "position": [9, 5], "step": 98, "ordinal_position": 99}, {"identifier": "J94", "position": [9, 6], "step": 99, "ordinal_position": 100}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 100, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_001.json"}} {"qa_id": "536f31c0d12045ea8c1b4d00f286b823", "image_id": "L3-MazeLoop-test_11x11_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q97, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 273rd position in this traversal?", "start_object_id": "Q97", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [273], "ordinal_strings": ["273rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "X66", "traversal_path": [{"identifier": "Q97", "position": [7, 9], "step": 0, "ordinal_position": 1}, {"identifier": "L63", "position": [6, 9], "step": 1, "ordinal_position": 2}, {"identifier": "O08", "position": [5, 9], "step": 2, "ordinal_position": 3}, {"identifier": "Q55", "position": [4, 9], "step": 3, "ordinal_position": 4}, {"identifier": "G97", "position": [3, 9], "step": 4, "ordinal_position": 5}, {"identifier": "M63", "position": [2, 9], "step": 5, "ordinal_position": 6}, {"identifier": "V33", "position": [1, 9], "step": 6, "ordinal_position": 7}, {"identifier": "B21", "position": [1, 8], "step": 7, "ordinal_position": 8}, {"identifier": "U82", "position": [1, 7], "step": 8, "ordinal_position": 9}, {"identifier": "U45", "position": [1, 6], "step": 9, "ordinal_position": 10}, {"identifier": "U69", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "H08", "position": [2, 5], "step": 11, "ordinal_position": 12}, {"identifier": "J29", "position": [3, 5], "step": 12, "ordinal_position": 13}, {"identifier": "I17", "position": [3, 6], "step": 13, "ordinal_position": 14}, {"identifier": "U05", "position": [3, 7], "step": 14, "ordinal_position": 15}, {"identifier": "Q10", "position": [4, 7], "step": 15, "ordinal_position": 16}, {"identifier": "X66", "position": [5, 7], "step": 16, "ordinal_position": 17}, {"identifier": "A50", "position": [5, 8], "step": 17, "ordinal_position": 18}, {"identifier": "O08", "position": [5, 9], "step": 18, "ordinal_position": 19}, {"identifier": "Q55", "position": [4, 9], "step": 19, "ordinal_position": 20}, {"identifier": "G97", "position": [3, 9], "step": 20, "ordinal_position": 21}, {"identifier": "M63", "position": [2, 9], "step": 21, "ordinal_position": 22}, {"identifier": "V33", "position": [1, 9], "step": 22, "ordinal_position": 23}, {"identifier": "B21", "position": [1, 8], "step": 23, "ordinal_position": 24}, {"identifier": "U82", "position": [1, 7], "step": 24, "ordinal_position": 25}, {"identifier": "U45", "position": [1, 6], "step": 25, "ordinal_position": 26}, {"identifier": "U69", "position": [1, 5], "step": 26, "ordinal_position": 27}, {"identifier": "H08", "position": [2, 5], "step": 27, "ordinal_position": 28}, {"identifier": "J29", "position": [3, 5], "step": 28, "ordinal_position": 29}, {"identifier": "I17", "position": [3, 6], "step": 29, "ordinal_position": 30}, {"identifier": "U05", "position": [3, 7], "step": 30, "ordinal_position": 31}, {"identifier": "Q10", "position": [4, 7], "step": 31, "ordinal_position": 32}, {"identifier": "X66", "position": [5, 7], "step": 32, "ordinal_position": 33}, {"identifier": "A50", "position": [5, 8], "step": 33, "ordinal_position": 34}, {"identifier": "O08", "position": [5, 9], "step": 34, "ordinal_position": 35}, {"identifier": "Q55", "position": [4, 9], "step": 35, "ordinal_position": 36}, {"identifier": "G97", "position": [3, 9], "step": 36, "ordinal_position": 37}, {"identifier": "M63", "position": [2, 9], "step": 37, "ordinal_position": 38}, {"identifier": "V33", "position": [1, 9], "step": 38, "ordinal_position": 39}, {"identifier": "B21", "position": [1, 8], "step": 39, "ordinal_position": 40}, {"identifier": "U82", "position": [1, 7], "step": 40, "ordinal_position": 41}, {"identifier": "U45", "position": [1, 6], "step": 41, "ordinal_position": 42}, {"identifier": "U69", "position": [1, 5], "step": 42, "ordinal_position": 43}, {"identifier": "H08", "position": [2, 5], "step": 43, "ordinal_position": 44}, {"identifier": "J29", "position": [3, 5], "step": 44, "ordinal_position": 45}, {"identifier": "I17", "position": [3, 6], "step": 45, "ordinal_position": 46}, {"identifier": "U05", "position": [3, 7], "step": 46, "ordinal_position": 47}, {"identifier": "Q10", "position": [4, 7], "step": 47, "ordinal_position": 48}, {"identifier": "X66", "position": [5, 7], "step": 48, "ordinal_position": 49}, {"identifier": "A50", "position": [5, 8], "step": 49, "ordinal_position": 50}, {"identifier": "O08", "position": [5, 9], "step": 50, "ordinal_position": 51}, {"identifier": "Q55", "position": [4, 9], "step": 51, "ordinal_position": 52}, {"identifier": "G97", "position": [3, 9], "step": 52, "ordinal_position": 53}, {"identifier": "M63", "position": [2, 9], "step": 53, "ordinal_position": 54}, {"identifier": "V33", "position": [1, 9], "step": 54, "ordinal_position": 55}, {"identifier": "B21", "position": [1, 8], "step": 55, "ordinal_position": 56}, {"identifier": "U82", "position": [1, 7], "step": 56, "ordinal_position": 57}, {"identifier": "U45", "position": [1, 6], "step": 57, "ordinal_position": 58}, {"identifier": "U69", "position": [1, 5], "step": 58, "ordinal_position": 59}, {"identifier": "H08", "position": [2, 5], "step": 59, "ordinal_position": 60}, {"identifier": "J29", "position": [3, 5], "step": 60, "ordinal_position": 61}, {"identifier": "I17", "position": [3, 6], "step": 61, "ordinal_position": 62}, {"identifier": "U05", "position": [3, 7], "step": 62, "ordinal_position": 63}, {"identifier": "Q10", "position": [4, 7], "step": 63, "ordinal_position": 64}, {"identifier": "X66", "position": [5, 7], "step": 64, "ordinal_position": 65}, {"identifier": "A50", "position": [5, 8], "step": 65, "ordinal_position": 66}, {"identifier": "O08", "position": [5, 9], "step": 66, "ordinal_position": 67}, {"identifier": "Q55", "position": [4, 9], "step": 67, "ordinal_position": 68}, {"identifier": "G97", "position": [3, 9], "step": 68, "ordinal_position": 69}, {"identifier": "M63", "position": [2, 9], "step": 69, "ordinal_position": 70}, {"identifier": "V33", "position": [1, 9], "step": 70, "ordinal_position": 71}, {"identifier": "B21", "position": [1, 8], "step": 71, "ordinal_position": 72}, {"identifier": "U82", "position": [1, 7], "step": 72, "ordinal_position": 73}, {"identifier": "U45", "position": [1, 6], "step": 73, "ordinal_position": 74}, {"identifier": "U69", "position": [1, 5], "step": 74, "ordinal_position": 75}, {"identifier": "H08", "position": [2, 5], "step": 75, "ordinal_position": 76}, {"identifier": "J29", "position": [3, 5], "step": 76, "ordinal_position": 77}, {"identifier": "I17", "position": [3, 6], "step": 77, "ordinal_position": 78}, {"identifier": "U05", "position": [3, 7], "step": 78, "ordinal_position": 79}, {"identifier": "Q10", "position": [4, 7], "step": 79, "ordinal_position": 80}, {"identifier": "X66", "position": [5, 7], "step": 80, "ordinal_position": 81}, {"identifier": "A50", "position": [5, 8], "step": 81, "ordinal_position": 82}, {"identifier": "O08", "position": [5, 9], "step": 82, "ordinal_position": 83}, {"identifier": "Q55", "position": [4, 9], "step": 83, "ordinal_position": 84}, {"identifier": "G97", "position": [3, 9], "step": 84, "ordinal_position": 85}, {"identifier": "M63", "position": [2, 9], "step": 85, "ordinal_position": 86}, {"identifier": "V33", "position": [1, 9], "step": 86, "ordinal_position": 87}, {"identifier": "B21", "position": [1, 8], "step": 87, "ordinal_position": 88}, {"identifier": "U82", "position": [1, 7], "step": 88, "ordinal_position": 89}, {"identifier": "U45", "position": [1, 6], "step": 89, "ordinal_position": 90}, {"identifier": "U69", "position": [1, 5], "step": 90, "ordinal_position": 91}, {"identifier": "H08", "position": [2, 5], "step": 91, "ordinal_position": 92}, {"identifier": "J29", "position": [3, 5], "step": 92, "ordinal_position": 93}, {"identifier": "I17", "position": [3, 6], "step": 93, "ordinal_position": 94}, {"identifier": "U05", "position": [3, 7], "step": 94, "ordinal_position": 95}, {"identifier": "Q10", "position": [4, 7], "step": 95, "ordinal_position": 96}, {"identifier": "X66", "position": [5, 7], "step": 96, "ordinal_position": 97}, {"identifier": "A50", "position": [5, 8], "step": 97, "ordinal_position": 98}, {"identifier": "O08", "position": [5, 9], "step": 98, "ordinal_position": 99}, {"identifier": "Q55", "position": [4, 9], "step": 99, "ordinal_position": 100}, {"identifier": "G97", "position": [3, 9], "step": 100, "ordinal_position": 101}, {"identifier": "M63", "position": [2, 9], "step": 101, "ordinal_position": 102}, {"identifier": "V33", "position": [1, 9], "step": 102, "ordinal_position": 103}, {"identifier": "B21", "position": [1, 8], "step": 103, "ordinal_position": 104}, {"identifier": "U82", "position": [1, 7], "step": 104, "ordinal_position": 105}, {"identifier": "U45", "position": [1, 6], "step": 105, "ordinal_position": 106}, {"identifier": "U69", "position": [1, 5], "step": 106, "ordinal_position": 107}, {"identifier": "H08", "position": [2, 5], "step": 107, "ordinal_position": 108}, {"identifier": "J29", "position": [3, 5], "step": 108, "ordinal_position": 109}, {"identifier": "I17", "position": [3, 6], "step": 109, "ordinal_position": 110}, {"identifier": "U05", "position": [3, 7], "step": 110, "ordinal_position": 111}, {"identifier": "Q10", "position": [4, 7], "step": 111, "ordinal_position": 112}, {"identifier": "X66", "position": [5, 7], "step": 112, "ordinal_position": 113}, {"identifier": "A50", "position": [5, 8], "step": 113, "ordinal_position": 114}, {"identifier": "O08", "position": [5, 9], "step": 114, "ordinal_position": 115}, {"identifier": "Q55", "position": [4, 9], "step": 115, "ordinal_position": 116}, {"identifier": "G97", "position": [3, 9], "step": 116, "ordinal_position": 117}, {"identifier": "M63", "position": [2, 9], "step": 117, "ordinal_position": 118}, {"identifier": "V33", "position": [1, 9], "step": 118, "ordinal_position": 119}, {"identifier": "B21", "position": [1, 8], "step": 119, "ordinal_position": 120}, {"identifier": "U82", "position": [1, 7], "step": 120, "ordinal_position": 121}, {"identifier": "U45", "position": [1, 6], "step": 121, "ordinal_position": 122}, {"identifier": "U69", "position": [1, 5], "step": 122, "ordinal_position": 123}, {"identifier": "H08", "position": [2, 5], "step": 123, "ordinal_position": 124}, {"identifier": "J29", "position": [3, 5], "step": 124, "ordinal_position": 125}, {"identifier": "I17", "position": [3, 6], "step": 125, "ordinal_position": 126}, {"identifier": "U05", "position": [3, 7], "step": 126, "ordinal_position": 127}, {"identifier": "Q10", "position": [4, 7], "step": 127, "ordinal_position": 128}, {"identifier": "X66", "position": [5, 7], "step": 128, "ordinal_position": 129}, {"identifier": "A50", "position": [5, 8], "step": 129, "ordinal_position": 130}, {"identifier": "O08", "position": [5, 9], "step": 130, "ordinal_position": 131}, {"identifier": "Q55", "position": [4, 9], "step": 131, "ordinal_position": 132}, {"identifier": "G97", "position": [3, 9], "step": 132, "ordinal_position": 133}, {"identifier": "M63", "position": [2, 9], "step": 133, "ordinal_position": 134}, {"identifier": "V33", "position": [1, 9], "step": 134, "ordinal_position": 135}, {"identifier": "B21", "position": [1, 8], "step": 135, "ordinal_position": 136}, {"identifier": "U82", "position": [1, 7], "step": 136, "ordinal_position": 137}, {"identifier": "U45", "position": [1, 6], "step": 137, "ordinal_position": 138}, {"identifier": "U69", "position": [1, 5], "step": 138, "ordinal_position": 139}, {"identifier": "H08", "position": [2, 5], "step": 139, "ordinal_position": 140}, {"identifier": "J29", "position": [3, 5], "step": 140, "ordinal_position": 141}, {"identifier": "I17", "position": [3, 6], "step": 141, "ordinal_position": 142}, {"identifier": "U05", "position": [3, 7], "step": 142, "ordinal_position": 143}, {"identifier": "Q10", "position": [4, 7], "step": 143, "ordinal_position": 144}, {"identifier": "X66", "position": [5, 7], "step": 144, "ordinal_position": 145}, {"identifier": "A50", "position": [5, 8], "step": 145, "ordinal_position": 146}, {"identifier": "O08", "position": [5, 9], "step": 146, "ordinal_position": 147}, {"identifier": "Q55", "position": [4, 9], "step": 147, "ordinal_position": 148}, {"identifier": "G97", "position": [3, 9], "step": 148, "ordinal_position": 149}, {"identifier": "M63", "position": [2, 9], "step": 149, "ordinal_position": 150}, {"identifier": "V33", "position": [1, 9], "step": 150, "ordinal_position": 151}, {"identifier": "B21", "position": [1, 8], "step": 151, "ordinal_position": 152}, {"identifier": "U82", "position": [1, 7], "step": 152, "ordinal_position": 153}, {"identifier": "U45", "position": [1, 6], "step": 153, "ordinal_position": 154}, {"identifier": "U69", "position": [1, 5], "step": 154, "ordinal_position": 155}, {"identifier": "H08", "position": [2, 5], "step": 155, "ordinal_position": 156}, {"identifier": "J29", "position": [3, 5], "step": 156, "ordinal_position": 157}, {"identifier": "I17", "position": [3, 6], "step": 157, "ordinal_position": 158}, {"identifier": "U05", "position": [3, 7], "step": 158, "ordinal_position": 159}, {"identifier": "Q10", "position": [4, 7], "step": 159, "ordinal_position": 160}, {"identifier": "X66", "position": [5, 7], "step": 160, "ordinal_position": 161}, {"identifier": "A50", "position": [5, 8], "step": 161, "ordinal_position": 162}, {"identifier": "O08", "position": [5, 9], "step": 162, "ordinal_position": 163}, {"identifier": "Q55", "position": [4, 9], "step": 163, "ordinal_position": 164}, {"identifier": "G97", "position": [3, 9], "step": 164, "ordinal_position": 165}, {"identifier": "M63", "position": [2, 9], "step": 165, "ordinal_position": 166}, {"identifier": "V33", "position": [1, 9], "step": 166, "ordinal_position": 167}, {"identifier": "B21", "position": [1, 8], "step": 167, "ordinal_position": 168}, {"identifier": "U82", "position": [1, 7], "step": 168, "ordinal_position": 169}, {"identifier": "U45", "position": [1, 6], "step": 169, "ordinal_position": 170}, {"identifier": "U69", "position": [1, 5], "step": 170, "ordinal_position": 171}, {"identifier": "H08", "position": [2, 5], "step": 171, "ordinal_position": 172}, {"identifier": "J29", "position": [3, 5], "step": 172, "ordinal_position": 173}, {"identifier": "I17", "position": [3, 6], "step": 173, "ordinal_position": 174}, {"identifier": "U05", "position": [3, 7], "step": 174, "ordinal_position": 175}, {"identifier": "Q10", "position": [4, 7], "step": 175, "ordinal_position": 176}, {"identifier": "X66", "position": [5, 7], "step": 176, "ordinal_position": 177}, {"identifier": "A50", "position": [5, 8], "step": 177, "ordinal_position": 178}, {"identifier": "O08", "position": [5, 9], "step": 178, "ordinal_position": 179}, {"identifier": "Q55", "position": [4, 9], "step": 179, "ordinal_position": 180}, {"identifier": "G97", "position": [3, 9], "step": 180, "ordinal_position": 181}, {"identifier": "M63", "position": [2, 9], "step": 181, "ordinal_position": 182}, {"identifier": "V33", "position": [1, 9], "step": 182, "ordinal_position": 183}, {"identifier": "B21", "position": [1, 8], "step": 183, "ordinal_position": 184}, {"identifier": "U82", "position": [1, 7], "step": 184, "ordinal_position": 185}, {"identifier": "U45", "position": [1, 6], "step": 185, "ordinal_position": 186}, {"identifier": "U69", "position": [1, 5], "step": 186, "ordinal_position": 187}, {"identifier": "H08", "position": [2, 5], "step": 187, "ordinal_position": 188}, {"identifier": "J29", "position": [3, 5], "step": 188, "ordinal_position": 189}, {"identifier": "I17", "position": [3, 6], "step": 189, "ordinal_position": 190}, {"identifier": "U05", "position": [3, 7], "step": 190, "ordinal_position": 191}, {"identifier": "Q10", "position": [4, 7], "step": 191, "ordinal_position": 192}, {"identifier": "X66", "position": [5, 7], "step": 192, "ordinal_position": 193}, {"identifier": "A50", "position": [5, 8], "step": 193, "ordinal_position": 194}, {"identifier": "O08", "position": [5, 9], "step": 194, "ordinal_position": 195}, {"identifier": "Q55", "position": [4, 9], "step": 195, "ordinal_position": 196}, {"identifier": "G97", "position": [3, 9], "step": 196, "ordinal_position": 197}, {"identifier": "M63", "position": [2, 9], "step": 197, "ordinal_position": 198}, {"identifier": "V33", "position": [1, 9], "step": 198, "ordinal_position": 199}, {"identifier": "B21", "position": [1, 8], "step": 199, "ordinal_position": 200}, {"identifier": "U82", "position": [1, 7], "step": 200, "ordinal_position": 201}, {"identifier": "U45", "position": [1, 6], "step": 201, "ordinal_position": 202}, {"identifier": "U69", "position": [1, 5], "step": 202, "ordinal_position": 203}, {"identifier": "H08", "position": [2, 5], "step": 203, "ordinal_position": 204}, {"identifier": "J29", "position": [3, 5], "step": 204, "ordinal_position": 205}, {"identifier": "I17", "position": [3, 6], "step": 205, "ordinal_position": 206}, {"identifier": "U05", "position": [3, 7], "step": 206, "ordinal_position": 207}, {"identifier": "Q10", "position": [4, 7], "step": 207, "ordinal_position": 208}, {"identifier": "X66", "position": [5, 7], "step": 208, "ordinal_position": 209}, {"identifier": "A50", "position": [5, 8], "step": 209, "ordinal_position": 210}, {"identifier": "O08", "position": [5, 9], "step": 210, "ordinal_position": 211}, {"identifier": "Q55", "position": [4, 9], "step": 211, "ordinal_position": 212}, {"identifier": "G97", "position": [3, 9], "step": 212, "ordinal_position": 213}, {"identifier": "M63", "position": [2, 9], "step": 213, "ordinal_position": 214}, {"identifier": "V33", "position": [1, 9], "step": 214, "ordinal_position": 215}, {"identifier": "B21", "position": [1, 8], "step": 215, "ordinal_position": 216}, {"identifier": "U82", "position": [1, 7], "step": 216, "ordinal_position": 217}, {"identifier": "U45", "position": [1, 6], "step": 217, "ordinal_position": 218}, {"identifier": "U69", "position": [1, 5], "step": 218, "ordinal_position": 219}, {"identifier": "H08", "position": [2, 5], "step": 219, "ordinal_position": 220}, {"identifier": "J29", "position": [3, 5], "step": 220, "ordinal_position": 221}, {"identifier": "I17", "position": [3, 6], "step": 221, "ordinal_position": 222}, {"identifier": "U05", "position": [3, 7], "step": 222, "ordinal_position": 223}, {"identifier": "Q10", "position": [4, 7], "step": 223, "ordinal_position": 224}, {"identifier": "X66", "position": [5, 7], "step": 224, "ordinal_position": 225}, {"identifier": "A50", "position": [5, 8], "step": 225, "ordinal_position": 226}, {"identifier": "O08", "position": [5, 9], "step": 226, "ordinal_position": 227}, {"identifier": "Q55", "position": [4, 9], "step": 227, "ordinal_position": 228}, {"identifier": "G97", "position": [3, 9], "step": 228, "ordinal_position": 229}, {"identifier": "M63", "position": [2, 9], "step": 229, "ordinal_position": 230}, {"identifier": "V33", "position": [1, 9], "step": 230, "ordinal_position": 231}, {"identifier": "B21", "position": [1, 8], "step": 231, "ordinal_position": 232}, {"identifier": "U82", "position": [1, 7], "step": 232, "ordinal_position": 233}, {"identifier": "U45", "position": [1, 6], "step": 233, "ordinal_position": 234}, {"identifier": "U69", "position": [1, 5], "step": 234, "ordinal_position": 235}, {"identifier": "H08", "position": [2, 5], "step": 235, "ordinal_position": 236}, {"identifier": "J29", "position": [3, 5], "step": 236, "ordinal_position": 237}, {"identifier": "I17", "position": [3, 6], "step": 237, "ordinal_position": 238}, {"identifier": "U05", "position": [3, 7], "step": 238, "ordinal_position": 239}, {"identifier": "Q10", "position": [4, 7], "step": 239, "ordinal_position": 240}, {"identifier": "X66", "position": [5, 7], "step": 240, "ordinal_position": 241}, {"identifier": "A50", "position": [5, 8], "step": 241, "ordinal_position": 242}, {"identifier": "O08", "position": [5, 9], "step": 242, "ordinal_position": 243}, {"identifier": "Q55", "position": [4, 9], "step": 243, "ordinal_position": 244}, {"identifier": "G97", "position": [3, 9], "step": 244, "ordinal_position": 245}, {"identifier": "M63", "position": [2, 9], "step": 245, "ordinal_position": 246}, {"identifier": "V33", "position": [1, 9], "step": 246, "ordinal_position": 247}, {"identifier": "B21", "position": [1, 8], "step": 247, "ordinal_position": 248}, {"identifier": "U82", "position": [1, 7], "step": 248, "ordinal_position": 249}, {"identifier": "U45", "position": [1, 6], "step": 249, "ordinal_position": 250}, {"identifier": "U69", "position": [1, 5], "step": 250, "ordinal_position": 251}, {"identifier": "H08", "position": [2, 5], "step": 251, "ordinal_position": 252}, {"identifier": "J29", "position": [3, 5], "step": 252, "ordinal_position": 253}, {"identifier": "I17", "position": [3, 6], "step": 253, "ordinal_position": 254}, {"identifier": "U05", "position": [3, 7], "step": 254, "ordinal_position": 255}, {"identifier": "Q10", "position": [4, 7], "step": 255, "ordinal_position": 256}, {"identifier": "X66", "position": [5, 7], "step": 256, "ordinal_position": 257}, {"identifier": "A50", "position": [5, 8], "step": 257, "ordinal_position": 258}, {"identifier": "O08", "position": [5, 9], "step": 258, "ordinal_position": 259}, {"identifier": "Q55", "position": [4, 9], "step": 259, "ordinal_position": 260}, {"identifier": "G97", "position": [3, 9], "step": 260, "ordinal_position": 261}, {"identifier": "M63", "position": [2, 9], "step": 261, "ordinal_position": 262}, {"identifier": "V33", "position": [1, 9], "step": 262, "ordinal_position": 263}, {"identifier": "B21", "position": [1, 8], "step": 263, "ordinal_position": 264}, {"identifier": "U82", "position": [1, 7], "step": 264, "ordinal_position": 265}, {"identifier": "U45", "position": [1, 6], "step": 265, "ordinal_position": 266}, {"identifier": "U69", "position": [1, 5], "step": 266, "ordinal_position": 267}, {"identifier": "H08", "position": [2, 5], "step": 267, "ordinal_position": 268}, {"identifier": "J29", "position": [3, 5], "step": 268, "ordinal_position": 269}, {"identifier": "I17", "position": [3, 6], "step": 269, "ordinal_position": 270}, {"identifier": "U05", "position": [3, 7], "step": 270, "ordinal_position": 271}, {"identifier": "Q10", "position": [4, 7], "step": 271, "ordinal_position": 272}, {"identifier": "X66", "position": [5, 7], "step": 272, "ordinal_position": 273}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 273, "direction": "left", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_001.json"}} {"qa_id": "ec36970cca83407f81102622a31323e1", "image_id": "L3-MazeLoop-test_11x11_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V20, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "V20", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "G80", "traversal_path": [{"identifier": "V20", "position": [1, 7], "step": 0, "ordinal_position": 1}, {"identifier": "U65", "position": [1, 8], "step": 1, "ordinal_position": 2}, {"identifier": "N29", "position": [1, 9], "step": 2, "ordinal_position": 3}, {"identifier": "X25", "position": [2, 9], "step": 3, "ordinal_position": 4}, {"identifier": "G80", "position": [3, 9], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 5, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_002.json"}} {"qa_id": "54f6fae82da24ddd8b402b7f853fc718", "image_id": "L3-MazeLoop-test_11x11_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U78, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "U78", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "S89", "traversal_path": [{"identifier": "U78", "position": [8, 3], "step": 0, "ordinal_position": 1}, {"identifier": "S62", "position": [9, 3], "step": 1, "ordinal_position": 2}, {"identifier": "M67", "position": [9, 2], "step": 2, "ordinal_position": 3}, {"identifier": "U51", "position": [9, 1], "step": 3, "ordinal_position": 4}, {"identifier": "W83", "position": [8, 1], "step": 4, "ordinal_position": 5}, {"identifier": "V72", "position": [7, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Y23", "position": [6, 1], "step": 6, "ordinal_position": 7}, {"identifier": "S89", "position": [5, 1], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 8, "direction": "right", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_002.json"}} {"qa_id": "2097297b13dc46cd999f02a9d0206df4", "image_id": "L3-MazeLoop-test_11x11_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X02, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "X02", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Y23", "traversal_path": [{"identifier": "X02", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Z52", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "J28", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "S89", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Y23", "position": [6, 1], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 5, "direction": "right", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_002.json"}} {"qa_id": "39b84e1f192d47b7925cb3ad42fd6985", "image_id": "L3-MazeLoop-test_11x11_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y08, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "Y08", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "O82", "traversal_path": [{"identifier": "Y08", "position": [8, 5], "step": 0, "ordinal_position": 1}, {"identifier": "U02", "position": [7, 5], "step": 1, "ordinal_position": 2}, {"identifier": "U07", "position": [6, 5], "step": 2, "ordinal_position": 3}, {"identifier": "I51", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "Q37", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "O82", "position": [5, 3], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 6, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_002.json"}} {"qa_id": "2c541441c1b542bca84708df37a299f4", "image_id": "L3-MazeLoop-test_11x11_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M67, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "M67", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "A34", "traversal_path": [{"identifier": "M67", "position": [9, 2], "step": 0, "ordinal_position": 1}, {"identifier": "S62", "position": [9, 3], "step": 1, "ordinal_position": 2}, {"identifier": "L43", "position": [9, 4], "step": 2, "ordinal_position": 3}, {"identifier": "S25", "position": [9, 5], "step": 3, "ordinal_position": 4}, {"identifier": "M77", "position": [9, 6], "step": 4, "ordinal_position": 5}, {"identifier": "A34", "position": [9, 7], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 6, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_002.json"}} {"qa_id": "0cf646dadcb043c1a94c2a5ebbca2310", "image_id": "L3-MazeLoop-test_11x11_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K23, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 79th position in this traversal?", "start_object_id": "K23", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [79], "ordinal_strings": ["79th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "S62", "traversal_path": [{"identifier": "K23", "position": [9, 9], "step": 0, "ordinal_position": 1}, {"identifier": "D08", "position": [9, 8], "step": 1, "ordinal_position": 2}, {"identifier": "A34", "position": [9, 7], "step": 2, "ordinal_position": 3}, {"identifier": "M77", "position": [9, 6], "step": 3, "ordinal_position": 4}, {"identifier": "S25", "position": [9, 5], "step": 4, "ordinal_position": 5}, {"identifier": "L43", "position": [9, 4], "step": 5, "ordinal_position": 6}, {"identifier": "S62", "position": [9, 3], "step": 6, "ordinal_position": 7}, {"identifier": "M67", "position": [9, 2], "step": 7, "ordinal_position": 8}, {"identifier": "U51", "position": [9, 1], "step": 8, "ordinal_position": 9}, {"identifier": "W83", "position": [8, 1], "step": 9, "ordinal_position": 10}, {"identifier": "V72", "position": [7, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Y23", "position": [6, 1], "step": 11, "ordinal_position": 12}, {"identifier": "S89", "position": [5, 1], "step": 12, "ordinal_position": 13}, {"identifier": "J28", "position": [4, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Z52", "position": [3, 1], "step": 14, "ordinal_position": 15}, {"identifier": "X02", "position": [2, 1], "step": 15, "ordinal_position": 16}, {"identifier": "M42", "position": [1, 1], "step": 16, "ordinal_position": 17}, {"identifier": "G60", "position": [1, 2], "step": 17, "ordinal_position": 18}, {"identifier": "Z24", "position": [1, 3], "step": 18, "ordinal_position": 19}, {"identifier": "E34", "position": [1, 4], "step": 19, "ordinal_position": 20}, {"identifier": "C00", "position": [1, 5], "step": 20, "ordinal_position": 21}, {"identifier": "O36", "position": [1, 6], "step": 21, "ordinal_position": 22}, {"identifier": "V20", "position": [1, 7], "step": 22, "ordinal_position": 23}, {"identifier": "U65", "position": [1, 8], "step": 23, "ordinal_position": 24}, {"identifier": "N29", "position": [1, 9], "step": 24, "ordinal_position": 25}, {"identifier": "X25", "position": [2, 9], "step": 25, "ordinal_position": 26}, {"identifier": "G80", "position": [3, 9], "step": 26, "ordinal_position": 27}, {"identifier": "U96", "position": [4, 9], "step": 27, "ordinal_position": 28}, {"identifier": "Q65", "position": [5, 9], "step": 28, "ordinal_position": 29}, {"identifier": "K98", "position": [5, 8], "step": 29, "ordinal_position": 30}, {"identifier": "Z22", "position": [5, 7], "step": 30, "ordinal_position": 31}, {"identifier": "O49", "position": [6, 7], "step": 31, "ordinal_position": 32}, {"identifier": "P01", "position": [7, 7], "step": 32, "ordinal_position": 33}, {"identifier": "C40", "position": [7, 8], "step": 33, "ordinal_position": 34}, {"identifier": "J08", "position": [7, 9], "step": 34, "ordinal_position": 35}, {"identifier": "L18", "position": [8, 9], "step": 35, "ordinal_position": 36}, {"identifier": "K23", "position": [9, 9], "step": 36, "ordinal_position": 37}, {"identifier": "D08", "position": [9, 8], "step": 37, "ordinal_position": 38}, {"identifier": "A34", "position": [9, 7], "step": 38, "ordinal_position": 39}, {"identifier": "M77", "position": [9, 6], "step": 39, "ordinal_position": 40}, {"identifier": "S25", "position": [9, 5], "step": 40, "ordinal_position": 41}, {"identifier": "L43", "position": [9, 4], "step": 41, "ordinal_position": 42}, {"identifier": "S62", "position": [9, 3], "step": 42, "ordinal_position": 43}, {"identifier": "M67", "position": [9, 2], "step": 43, "ordinal_position": 44}, {"identifier": "U51", "position": [9, 1], "step": 44, "ordinal_position": 45}, {"identifier": "W83", "position": [8, 1], "step": 45, "ordinal_position": 46}, {"identifier": "V72", "position": [7, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Y23", "position": [6, 1], "step": 47, "ordinal_position": 48}, {"identifier": "S89", "position": [5, 1], "step": 48, "ordinal_position": 49}, {"identifier": "J28", "position": [4, 1], "step": 49, "ordinal_position": 50}, {"identifier": "Z52", "position": [3, 1], "step": 50, "ordinal_position": 51}, {"identifier": "X02", "position": [2, 1], "step": 51, "ordinal_position": 52}, {"identifier": "M42", "position": [1, 1], "step": 52, "ordinal_position": 53}, {"identifier": "G60", "position": [1, 2], "step": 53, "ordinal_position": 54}, {"identifier": "Z24", "position": [1, 3], "step": 54, "ordinal_position": 55}, {"identifier": "E34", "position": [1, 4], "step": 55, "ordinal_position": 56}, {"identifier": "C00", "position": [1, 5], "step": 56, "ordinal_position": 57}, {"identifier": "O36", "position": [1, 6], "step": 57, "ordinal_position": 58}, {"identifier": "V20", "position": [1, 7], "step": 58, "ordinal_position": 59}, {"identifier": "U65", "position": [1, 8], "step": 59, "ordinal_position": 60}, {"identifier": "N29", "position": [1, 9], "step": 60, "ordinal_position": 61}, {"identifier": "X25", "position": [2, 9], "step": 61, "ordinal_position": 62}, {"identifier": "G80", "position": [3, 9], "step": 62, "ordinal_position": 63}, {"identifier": "U96", "position": [4, 9], "step": 63, "ordinal_position": 64}, {"identifier": "Q65", "position": [5, 9], "step": 64, "ordinal_position": 65}, {"identifier": "K98", "position": [5, 8], "step": 65, "ordinal_position": 66}, {"identifier": "Z22", "position": [5, 7], "step": 66, "ordinal_position": 67}, {"identifier": "O49", "position": [6, 7], "step": 67, "ordinal_position": 68}, {"identifier": "P01", "position": [7, 7], "step": 68, "ordinal_position": 69}, {"identifier": "C40", "position": [7, 8], "step": 69, "ordinal_position": 70}, {"identifier": "J08", "position": [7, 9], "step": 70, "ordinal_position": 71}, {"identifier": "L18", "position": [8, 9], "step": 71, "ordinal_position": 72}, {"identifier": "K23", "position": [9, 9], "step": 72, "ordinal_position": 73}, {"identifier": "D08", "position": [9, 8], "step": 73, "ordinal_position": 74}, {"identifier": "A34", "position": [9, 7], "step": 74, "ordinal_position": 75}, {"identifier": "M77", "position": [9, 6], "step": 75, "ordinal_position": 76}, {"identifier": "S25", "position": [9, 5], "step": 76, "ordinal_position": 77}, {"identifier": "L43", "position": [9, 4], "step": 77, "ordinal_position": 78}, {"identifier": "S62", "position": [9, 3], "step": 78, "ordinal_position": 79}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 79, "direction": "up", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_002.json"}} {"qa_id": "e2e321a70f064b73a08af01d546aaa20", "image_id": "L3-MazeLoop-test_11x11_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L43, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 69th position in this traversal?", "start_object_id": "L43", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [69], "ordinal_strings": ["69th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "W83", "traversal_path": [{"identifier": "L43", "position": [9, 4], "step": 0, "ordinal_position": 1}, {"identifier": "S25", "position": [9, 5], "step": 1, "ordinal_position": 2}, {"identifier": "M77", "position": [9, 6], "step": 2, "ordinal_position": 3}, {"identifier": "A34", "position": [9, 7], "step": 3, "ordinal_position": 4}, {"identifier": "D08", "position": [9, 8], "step": 4, "ordinal_position": 5}, {"identifier": "K23", "position": [9, 9], "step": 5, "ordinal_position": 6}, {"identifier": "L18", "position": [8, 9], "step": 6, "ordinal_position": 7}, {"identifier": "J08", "position": [7, 9], "step": 7, "ordinal_position": 8}, {"identifier": "C40", "position": [7, 8], "step": 8, "ordinal_position": 9}, {"identifier": "P01", "position": [7, 7], "step": 9, "ordinal_position": 10}, {"identifier": "O49", "position": [6, 7], "step": 10, "ordinal_position": 11}, {"identifier": "Z22", "position": [5, 7], "step": 11, "ordinal_position": 12}, {"identifier": "K98", "position": [5, 8], "step": 12, "ordinal_position": 13}, {"identifier": "Q65", "position": [5, 9], "step": 13, "ordinal_position": 14}, {"identifier": "U96", "position": [4, 9], "step": 14, "ordinal_position": 15}, {"identifier": "G80", "position": [3, 9], "step": 15, "ordinal_position": 16}, {"identifier": "X25", "position": [2, 9], "step": 16, "ordinal_position": 17}, {"identifier": "N29", "position": [1, 9], "step": 17, "ordinal_position": 18}, {"identifier": "U65", "position": [1, 8], "step": 18, "ordinal_position": 19}, {"identifier": "V20", "position": [1, 7], "step": 19, "ordinal_position": 20}, {"identifier": "O36", "position": [1, 6], "step": 20, "ordinal_position": 21}, {"identifier": "C00", "position": [1, 5], "step": 21, "ordinal_position": 22}, {"identifier": "E34", "position": [1, 4], "step": 22, "ordinal_position": 23}, {"identifier": "Z24", "position": [1, 3], "step": 23, "ordinal_position": 24}, {"identifier": "G60", "position": [1, 2], "step": 24, "ordinal_position": 25}, {"identifier": "M42", "position": [1, 1], "step": 25, "ordinal_position": 26}, {"identifier": "X02", "position": [2, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Z52", "position": [3, 1], "step": 27, "ordinal_position": 28}, {"identifier": "J28", "position": [4, 1], "step": 28, "ordinal_position": 29}, {"identifier": "S89", "position": [5, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Y23", "position": [6, 1], "step": 30, "ordinal_position": 31}, {"identifier": "V72", "position": [7, 1], "step": 31, "ordinal_position": 32}, {"identifier": "W83", "position": [8, 1], "step": 32, "ordinal_position": 33}, {"identifier": "U51", "position": [9, 1], "step": 33, "ordinal_position": 34}, {"identifier": "M67", "position": [9, 2], "step": 34, "ordinal_position": 35}, {"identifier": "S62", "position": [9, 3], "step": 35, "ordinal_position": 36}, {"identifier": "L43", "position": [9, 4], "step": 36, "ordinal_position": 37}, {"identifier": "S25", "position": [9, 5], "step": 37, "ordinal_position": 38}, {"identifier": "M77", "position": [9, 6], "step": 38, "ordinal_position": 39}, {"identifier": "A34", "position": [9, 7], "step": 39, "ordinal_position": 40}, {"identifier": "D08", "position": [9, 8], "step": 40, "ordinal_position": 41}, {"identifier": "K23", "position": [9, 9], "step": 41, "ordinal_position": 42}, {"identifier": "L18", "position": [8, 9], "step": 42, "ordinal_position": 43}, {"identifier": "J08", "position": [7, 9], "step": 43, "ordinal_position": 44}, {"identifier": "C40", "position": [7, 8], "step": 44, "ordinal_position": 45}, {"identifier": "P01", "position": [7, 7], "step": 45, "ordinal_position": 46}, {"identifier": "O49", "position": [6, 7], "step": 46, "ordinal_position": 47}, {"identifier": "Z22", "position": [5, 7], "step": 47, "ordinal_position": 48}, {"identifier": "K98", "position": [5, 8], "step": 48, "ordinal_position": 49}, {"identifier": "Q65", "position": [5, 9], "step": 49, "ordinal_position": 50}, {"identifier": "U96", "position": [4, 9], "step": 50, "ordinal_position": 51}, {"identifier": "G80", "position": [3, 9], "step": 51, "ordinal_position": 52}, {"identifier": "X25", "position": [2, 9], "step": 52, "ordinal_position": 53}, {"identifier": "N29", "position": [1, 9], "step": 53, "ordinal_position": 54}, {"identifier": "U65", "position": [1, 8], "step": 54, "ordinal_position": 55}, {"identifier": "V20", "position": [1, 7], "step": 55, "ordinal_position": 56}, {"identifier": "O36", "position": [1, 6], "step": 56, "ordinal_position": 57}, {"identifier": "C00", "position": [1, 5], "step": 57, "ordinal_position": 58}, {"identifier": "E34", "position": [1, 4], "step": 58, "ordinal_position": 59}, {"identifier": "Z24", "position": [1, 3], "step": 59, "ordinal_position": 60}, {"identifier": "G60", "position": [1, 2], "step": 60, "ordinal_position": 61}, {"identifier": "M42", "position": [1, 1], "step": 61, "ordinal_position": 62}, {"identifier": "X02", "position": [2, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Z52", "position": [3, 1], "step": 63, "ordinal_position": 64}, {"identifier": "J28", "position": [4, 1], "step": 64, "ordinal_position": 65}, {"identifier": "S89", "position": [5, 1], "step": 65, "ordinal_position": 66}, {"identifier": "Y23", "position": [6, 1], "step": 66, "ordinal_position": 67}, {"identifier": "V72", "position": [7, 1], "step": 67, "ordinal_position": 68}, {"identifier": "W83", "position": [8, 1], "step": 68, "ordinal_position": 69}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 69, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_002.json"}} {"qa_id": "31a7e5cf605b4bcf989dbf45e825c092", "image_id": "L3-MazeLoop-test_11x11_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G60, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 98th position in this traversal?", "start_object_id": "G60", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [98], "ordinal_strings": ["98th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "S62", "traversal_path": [{"identifier": "G60", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "Z24", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "E34", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "C00", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "O36", "position": [1, 6], "step": 4, "ordinal_position": 5}, {"identifier": "V20", "position": [1, 7], "step": 5, "ordinal_position": 6}, {"identifier": "U65", "position": [1, 8], "step": 6, "ordinal_position": 7}, {"identifier": "N29", "position": [1, 9], "step": 7, "ordinal_position": 8}, {"identifier": "X25", "position": [2, 9], "step": 8, "ordinal_position": 9}, {"identifier": "G80", "position": [3, 9], "step": 9, "ordinal_position": 10}, {"identifier": "U96", "position": [4, 9], "step": 10, "ordinal_position": 11}, {"identifier": "Q65", "position": [5, 9], "step": 11, "ordinal_position": 12}, {"identifier": "K98", "position": [5, 8], "step": 12, "ordinal_position": 13}, {"identifier": "Z22", "position": [5, 7], "step": 13, "ordinal_position": 14}, {"identifier": "O49", "position": [6, 7], "step": 14, "ordinal_position": 15}, {"identifier": "P01", "position": [7, 7], "step": 15, "ordinal_position": 16}, {"identifier": "C40", "position": [7, 8], "step": 16, "ordinal_position": 17}, {"identifier": "J08", "position": [7, 9], "step": 17, "ordinal_position": 18}, {"identifier": "L18", "position": [8, 9], "step": 18, "ordinal_position": 19}, {"identifier": "K23", "position": [9, 9], "step": 19, "ordinal_position": 20}, {"identifier": "D08", "position": [9, 8], "step": 20, "ordinal_position": 21}, {"identifier": "A34", "position": [9, 7], "step": 21, "ordinal_position": 22}, {"identifier": "M77", "position": [9, 6], "step": 22, "ordinal_position": 23}, {"identifier": "S25", "position": [9, 5], "step": 23, "ordinal_position": 24}, {"identifier": "L43", "position": [9, 4], "step": 24, "ordinal_position": 25}, {"identifier": "S62", "position": [9, 3], "step": 25, "ordinal_position": 26}, {"identifier": "M67", "position": [9, 2], "step": 26, "ordinal_position": 27}, {"identifier": "U51", "position": [9, 1], "step": 27, "ordinal_position": 28}, {"identifier": "W83", "position": [8, 1], "step": 28, "ordinal_position": 29}, {"identifier": "V72", "position": [7, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Y23", "position": [6, 1], "step": 30, "ordinal_position": 31}, {"identifier": "S89", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "J28", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "Z52", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "X02", "position": [2, 1], "step": 34, "ordinal_position": 35}, {"identifier": "M42", "position": [1, 1], "step": 35, "ordinal_position": 36}, {"identifier": "G60", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "Z24", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "E34", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "C00", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "O36", "position": [1, 6], "step": 40, "ordinal_position": 41}, {"identifier": "V20", "position": [1, 7], "step": 41, "ordinal_position": 42}, {"identifier": "U65", "position": [1, 8], "step": 42, "ordinal_position": 43}, {"identifier": "N29", "position": [1, 9], "step": 43, "ordinal_position": 44}, {"identifier": "X25", "position": [2, 9], "step": 44, "ordinal_position": 45}, {"identifier": "G80", "position": [3, 9], "step": 45, "ordinal_position": 46}, {"identifier": "U96", "position": [4, 9], "step": 46, "ordinal_position": 47}, {"identifier": "Q65", "position": [5, 9], "step": 47, "ordinal_position": 48}, {"identifier": "K98", "position": [5, 8], "step": 48, "ordinal_position": 49}, {"identifier": "Z22", "position": [5, 7], "step": 49, "ordinal_position": 50}, {"identifier": "O49", "position": [6, 7], "step": 50, "ordinal_position": 51}, {"identifier": "P01", "position": [7, 7], "step": 51, "ordinal_position": 52}, {"identifier": "C40", "position": [7, 8], "step": 52, "ordinal_position": 53}, {"identifier": "J08", "position": [7, 9], "step": 53, "ordinal_position": 54}, {"identifier": "L18", "position": [8, 9], "step": 54, "ordinal_position": 55}, {"identifier": "K23", "position": [9, 9], "step": 55, "ordinal_position": 56}, {"identifier": "D08", "position": [9, 8], "step": 56, "ordinal_position": 57}, {"identifier": "A34", "position": [9, 7], "step": 57, "ordinal_position": 58}, {"identifier": "M77", "position": [9, 6], "step": 58, "ordinal_position": 59}, {"identifier": "S25", "position": [9, 5], "step": 59, "ordinal_position": 60}, {"identifier": "L43", "position": [9, 4], "step": 60, "ordinal_position": 61}, {"identifier": "S62", "position": [9, 3], "step": 61, "ordinal_position": 62}, {"identifier": "M67", "position": [9, 2], "step": 62, "ordinal_position": 63}, {"identifier": "U51", "position": [9, 1], "step": 63, "ordinal_position": 64}, {"identifier": "W83", "position": [8, 1], "step": 64, "ordinal_position": 65}, {"identifier": "V72", "position": [7, 1], "step": 65, "ordinal_position": 66}, {"identifier": "Y23", "position": [6, 1], "step": 66, "ordinal_position": 67}, {"identifier": "S89", "position": [5, 1], "step": 67, "ordinal_position": 68}, {"identifier": "J28", "position": [4, 1], "step": 68, "ordinal_position": 69}, {"identifier": "Z52", "position": [3, 1], "step": 69, "ordinal_position": 70}, {"identifier": "X02", "position": [2, 1], "step": 70, "ordinal_position": 71}, {"identifier": "M42", "position": [1, 1], "step": 71, "ordinal_position": 72}, {"identifier": "G60", "position": [1, 2], "step": 72, "ordinal_position": 73}, {"identifier": "Z24", "position": [1, 3], "step": 73, "ordinal_position": 74}, {"identifier": "E34", "position": [1, 4], "step": 74, "ordinal_position": 75}, {"identifier": "C00", "position": [1, 5], "step": 75, "ordinal_position": 76}, {"identifier": "O36", "position": [1, 6], "step": 76, "ordinal_position": 77}, {"identifier": "V20", "position": [1, 7], "step": 77, "ordinal_position": 78}, {"identifier": "U65", "position": [1, 8], "step": 78, "ordinal_position": 79}, {"identifier": "N29", "position": [1, 9], "step": 79, "ordinal_position": 80}, {"identifier": "X25", "position": [2, 9], "step": 80, "ordinal_position": 81}, {"identifier": "G80", "position": [3, 9], "step": 81, "ordinal_position": 82}, {"identifier": "U96", "position": [4, 9], "step": 82, "ordinal_position": 83}, {"identifier": "Q65", "position": [5, 9], "step": 83, "ordinal_position": 84}, {"identifier": "K98", "position": [5, 8], "step": 84, "ordinal_position": 85}, {"identifier": "Z22", "position": [5, 7], "step": 85, "ordinal_position": 86}, {"identifier": "O49", "position": [6, 7], "step": 86, "ordinal_position": 87}, {"identifier": "P01", "position": [7, 7], "step": 87, "ordinal_position": 88}, {"identifier": "C40", "position": [7, 8], "step": 88, "ordinal_position": 89}, {"identifier": "J08", "position": [7, 9], "step": 89, "ordinal_position": 90}, {"identifier": "L18", "position": [8, 9], "step": 90, "ordinal_position": 91}, {"identifier": "K23", "position": [9, 9], "step": 91, "ordinal_position": 92}, {"identifier": "D08", "position": [9, 8], "step": 92, "ordinal_position": 93}, {"identifier": "A34", "position": [9, 7], "step": 93, "ordinal_position": 94}, {"identifier": "M77", "position": [9, 6], "step": 94, "ordinal_position": 95}, {"identifier": "S25", "position": [9, 5], "step": 95, "ordinal_position": 96}, {"identifier": "L43", "position": [9, 4], "step": 96, "ordinal_position": 97}, {"identifier": "S62", "position": [9, 3], "step": 97, "ordinal_position": 98}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 98, "direction": "down", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_002.json"}} {"qa_id": "1c400d97a30748d1b835ba177d8cb84a", "image_id": "L3-MazeLoop-test_11x11_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X25, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 74th position in this traversal?", "start_object_id": "X25", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [74], "ordinal_strings": ["74th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "G80", "traversal_path": [{"identifier": "X25", "position": [2, 9], "step": 0, "ordinal_position": 1}, {"identifier": "G80", "position": [3, 9], "step": 1, "ordinal_position": 2}, {"identifier": "U96", "position": [4, 9], "step": 2, "ordinal_position": 3}, {"identifier": "Q65", "position": [5, 9], "step": 3, "ordinal_position": 4}, {"identifier": "K98", "position": [5, 8], "step": 4, "ordinal_position": 5}, {"identifier": "Z22", "position": [5, 7], "step": 5, "ordinal_position": 6}, {"identifier": "O49", "position": [6, 7], "step": 6, "ordinal_position": 7}, {"identifier": "P01", "position": [7, 7], "step": 7, "ordinal_position": 8}, {"identifier": "C40", "position": [7, 8], "step": 8, "ordinal_position": 9}, {"identifier": "J08", "position": [7, 9], "step": 9, "ordinal_position": 10}, {"identifier": "L18", "position": [8, 9], "step": 10, "ordinal_position": 11}, {"identifier": "K23", "position": [9, 9], "step": 11, "ordinal_position": 12}, {"identifier": "D08", "position": [9, 8], "step": 12, "ordinal_position": 13}, {"identifier": "A34", "position": [9, 7], "step": 13, "ordinal_position": 14}, {"identifier": "M77", "position": [9, 6], "step": 14, "ordinal_position": 15}, {"identifier": "S25", "position": [9, 5], "step": 15, "ordinal_position": 16}, {"identifier": "L43", "position": [9, 4], "step": 16, "ordinal_position": 17}, {"identifier": "S62", "position": [9, 3], "step": 17, "ordinal_position": 18}, {"identifier": "M67", "position": [9, 2], "step": 18, "ordinal_position": 19}, {"identifier": "U51", "position": [9, 1], "step": 19, "ordinal_position": 20}, {"identifier": "W83", "position": [8, 1], "step": 20, "ordinal_position": 21}, {"identifier": "V72", "position": [7, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Y23", "position": [6, 1], "step": 22, "ordinal_position": 23}, {"identifier": "S89", "position": [5, 1], "step": 23, "ordinal_position": 24}, {"identifier": "J28", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "Z52", "position": [3, 1], "step": 25, "ordinal_position": 26}, {"identifier": "X02", "position": [2, 1], "step": 26, "ordinal_position": 27}, {"identifier": "M42", "position": [1, 1], "step": 27, "ordinal_position": 28}, {"identifier": "G60", "position": [1, 2], "step": 28, "ordinal_position": 29}, {"identifier": "Z24", "position": [1, 3], "step": 29, "ordinal_position": 30}, {"identifier": "E34", "position": [1, 4], "step": 30, "ordinal_position": 31}, {"identifier": "C00", "position": [1, 5], "step": 31, "ordinal_position": 32}, {"identifier": "O36", "position": [1, 6], "step": 32, "ordinal_position": 33}, {"identifier": "V20", "position": [1, 7], "step": 33, "ordinal_position": 34}, {"identifier": "U65", "position": [1, 8], "step": 34, "ordinal_position": 35}, {"identifier": "N29", "position": [1, 9], "step": 35, "ordinal_position": 36}, {"identifier": "X25", "position": [2, 9], "step": 36, "ordinal_position": 37}, {"identifier": "G80", "position": [3, 9], "step": 37, "ordinal_position": 38}, {"identifier": "U96", "position": [4, 9], "step": 38, "ordinal_position": 39}, {"identifier": "Q65", "position": [5, 9], "step": 39, "ordinal_position": 40}, {"identifier": "K98", "position": [5, 8], "step": 40, "ordinal_position": 41}, {"identifier": "Z22", "position": [5, 7], "step": 41, "ordinal_position": 42}, {"identifier": "O49", "position": [6, 7], "step": 42, "ordinal_position": 43}, {"identifier": "P01", "position": [7, 7], "step": 43, "ordinal_position": 44}, {"identifier": "C40", "position": [7, 8], "step": 44, "ordinal_position": 45}, {"identifier": "J08", "position": [7, 9], "step": 45, "ordinal_position": 46}, {"identifier": "L18", "position": [8, 9], "step": 46, "ordinal_position": 47}, {"identifier": "K23", "position": [9, 9], "step": 47, "ordinal_position": 48}, {"identifier": "D08", "position": [9, 8], "step": 48, "ordinal_position": 49}, {"identifier": "A34", "position": [9, 7], "step": 49, "ordinal_position": 50}, {"identifier": "M77", "position": [9, 6], "step": 50, "ordinal_position": 51}, {"identifier": "S25", "position": [9, 5], "step": 51, "ordinal_position": 52}, {"identifier": "L43", "position": [9, 4], "step": 52, "ordinal_position": 53}, {"identifier": "S62", "position": [9, 3], "step": 53, "ordinal_position": 54}, {"identifier": "M67", "position": [9, 2], "step": 54, "ordinal_position": 55}, {"identifier": "U51", "position": [9, 1], "step": 55, "ordinal_position": 56}, {"identifier": "W83", "position": [8, 1], "step": 56, "ordinal_position": 57}, {"identifier": "V72", "position": [7, 1], "step": 57, "ordinal_position": 58}, {"identifier": "Y23", "position": [6, 1], "step": 58, "ordinal_position": 59}, {"identifier": "S89", "position": [5, 1], "step": 59, "ordinal_position": 60}, {"identifier": "J28", "position": [4, 1], "step": 60, "ordinal_position": 61}, {"identifier": "Z52", "position": [3, 1], "step": 61, "ordinal_position": 62}, {"identifier": "X02", "position": [2, 1], "step": 62, "ordinal_position": 63}, {"identifier": "M42", "position": [1, 1], "step": 63, "ordinal_position": 64}, {"identifier": "G60", "position": [1, 2], "step": 64, "ordinal_position": 65}, {"identifier": "Z24", "position": [1, 3], "step": 65, "ordinal_position": 66}, {"identifier": "E34", "position": [1, 4], "step": 66, "ordinal_position": 67}, {"identifier": "C00", "position": [1, 5], "step": 67, "ordinal_position": 68}, {"identifier": "O36", "position": [1, 6], "step": 68, "ordinal_position": 69}, {"identifier": "V20", "position": [1, 7], "step": 69, "ordinal_position": 70}, {"identifier": "U65", "position": [1, 8], "step": 70, "ordinal_position": 71}, {"identifier": "N29", "position": [1, 9], "step": 71, "ordinal_position": 72}, {"identifier": "X25", "position": [2, 9], "step": 72, "ordinal_position": 73}, {"identifier": "G80", "position": [3, 9], "step": 73, "ordinal_position": 74}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 74, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_002.json"}} {"qa_id": "649c87c3b2c6450fa31e1bead84abf98", "image_id": "L3-MazeLoop-test_11x11_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S88, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 16th position in this traversal?", "start_object_id": "S88", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [16], "ordinal_strings": ["16th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "S25", "traversal_path": [{"identifier": "S88", "position": [3, 8], "step": 0, "ordinal_position": 1}, {"identifier": "G80", "position": [3, 9], "step": 1, "ordinal_position": 2}, {"identifier": "U96", "position": [4, 9], "step": 2, "ordinal_position": 3}, {"identifier": "Q65", "position": [5, 9], "step": 3, "ordinal_position": 4}, {"identifier": "K98", "position": [5, 8], "step": 4, "ordinal_position": 5}, {"identifier": "Z22", "position": [5, 7], "step": 5, "ordinal_position": 6}, {"identifier": "O49", "position": [6, 7], "step": 6, "ordinal_position": 7}, {"identifier": "P01", "position": [7, 7], "step": 7, "ordinal_position": 8}, {"identifier": "C40", "position": [7, 8], "step": 8, "ordinal_position": 9}, {"identifier": "J08", "position": [7, 9], "step": 9, "ordinal_position": 10}, {"identifier": "L18", "position": [8, 9], "step": 10, "ordinal_position": 11}, {"identifier": "K23", "position": [9, 9], "step": 11, "ordinal_position": 12}, {"identifier": "D08", "position": [9, 8], "step": 12, "ordinal_position": 13}, {"identifier": "A34", "position": [9, 7], "step": 13, "ordinal_position": 14}, {"identifier": "M77", "position": [9, 6], "step": 14, "ordinal_position": 15}, {"identifier": "S25", "position": [9, 5], "step": 15, "ordinal_position": 16}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 16, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_002.json"}} {"qa_id": "421b59c0c76647a29a94e8387658da24", "image_id": "L3-MazeLoop-test_11x11_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z52, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 222nd position in this traversal?", "start_object_id": "Z52", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [222], "ordinal_strings": ["222nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "E34", "traversal_path": [{"identifier": "Z52", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "X02", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "M42", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "G60", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "Z24", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "E34", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "C00", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "O36", "position": [1, 6], "step": 7, "ordinal_position": 8}, {"identifier": "V20", "position": [1, 7], "step": 8, "ordinal_position": 9}, {"identifier": "U65", "position": [1, 8], "step": 9, "ordinal_position": 10}, {"identifier": "N29", "position": [1, 9], "step": 10, "ordinal_position": 11}, {"identifier": "X25", "position": [2, 9], "step": 11, "ordinal_position": 12}, {"identifier": "G80", "position": [3, 9], "step": 12, "ordinal_position": 13}, {"identifier": "U96", "position": [4, 9], "step": 13, "ordinal_position": 14}, {"identifier": "Q65", "position": [5, 9], "step": 14, "ordinal_position": 15}, {"identifier": "K98", "position": [5, 8], "step": 15, "ordinal_position": 16}, {"identifier": "Z22", "position": [5, 7], "step": 16, "ordinal_position": 17}, {"identifier": "O49", "position": [6, 7], "step": 17, "ordinal_position": 18}, {"identifier": "P01", "position": [7, 7], "step": 18, "ordinal_position": 19}, {"identifier": "C40", "position": [7, 8], "step": 19, "ordinal_position": 20}, {"identifier": "J08", "position": [7, 9], "step": 20, "ordinal_position": 21}, {"identifier": "L18", "position": [8, 9], "step": 21, "ordinal_position": 22}, {"identifier": "K23", "position": [9, 9], "step": 22, "ordinal_position": 23}, {"identifier": "D08", "position": [9, 8], "step": 23, "ordinal_position": 24}, {"identifier": "A34", "position": [9, 7], "step": 24, "ordinal_position": 25}, {"identifier": "M77", "position": [9, 6], "step": 25, "ordinal_position": 26}, {"identifier": "S25", "position": [9, 5], "step": 26, "ordinal_position": 27}, {"identifier": "L43", "position": [9, 4], "step": 27, "ordinal_position": 28}, {"identifier": "S62", "position": [9, 3], "step": 28, "ordinal_position": 29}, {"identifier": "M67", "position": [9, 2], "step": 29, "ordinal_position": 30}, {"identifier": "U51", "position": [9, 1], "step": 30, "ordinal_position": 31}, {"identifier": "W83", "position": [8, 1], "step": 31, "ordinal_position": 32}, {"identifier": "V72", "position": [7, 1], "step": 32, "ordinal_position": 33}, {"identifier": "Y23", "position": [6, 1], "step": 33, "ordinal_position": 34}, {"identifier": "S89", "position": [5, 1], "step": 34, "ordinal_position": 35}, {"identifier": "J28", "position": [4, 1], "step": 35, "ordinal_position": 36}, {"identifier": "Z52", "position": [3, 1], "step": 36, "ordinal_position": 37}, {"identifier": "X02", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "M42", "position": [1, 1], "step": 38, "ordinal_position": 39}, {"identifier": "G60", "position": [1, 2], "step": 39, "ordinal_position": 40}, {"identifier": "Z24", "position": [1, 3], "step": 40, "ordinal_position": 41}, {"identifier": "E34", "position": [1, 4], "step": 41, "ordinal_position": 42}, {"identifier": "C00", "position": [1, 5], "step": 42, "ordinal_position": 43}, {"identifier": "O36", "position": [1, 6], "step": 43, "ordinal_position": 44}, {"identifier": "V20", "position": [1, 7], "step": 44, "ordinal_position": 45}, {"identifier": "U65", "position": [1, 8], "step": 45, "ordinal_position": 46}, {"identifier": "N29", "position": [1, 9], "step": 46, "ordinal_position": 47}, {"identifier": "X25", "position": [2, 9], "step": 47, "ordinal_position": 48}, {"identifier": "G80", "position": [3, 9], "step": 48, "ordinal_position": 49}, {"identifier": "U96", "position": [4, 9], "step": 49, "ordinal_position": 50}, {"identifier": "Q65", "position": [5, 9], "step": 50, "ordinal_position": 51}, {"identifier": "K98", "position": [5, 8], "step": 51, "ordinal_position": 52}, {"identifier": "Z22", "position": [5, 7], "step": 52, "ordinal_position": 53}, {"identifier": "O49", "position": [6, 7], "step": 53, "ordinal_position": 54}, {"identifier": "P01", "position": [7, 7], "step": 54, "ordinal_position": 55}, {"identifier": "C40", "position": [7, 8], "step": 55, "ordinal_position": 56}, {"identifier": "J08", "position": [7, 9], "step": 56, "ordinal_position": 57}, {"identifier": "L18", "position": [8, 9], "step": 57, "ordinal_position": 58}, {"identifier": "K23", "position": [9, 9], "step": 58, "ordinal_position": 59}, {"identifier": "D08", "position": [9, 8], "step": 59, "ordinal_position": 60}, {"identifier": "A34", "position": [9, 7], "step": 60, "ordinal_position": 61}, {"identifier": "M77", "position": [9, 6], "step": 61, "ordinal_position": 62}, {"identifier": "S25", "position": [9, 5], "step": 62, "ordinal_position": 63}, {"identifier": "L43", "position": [9, 4], "step": 63, "ordinal_position": 64}, {"identifier": "S62", "position": [9, 3], "step": 64, "ordinal_position": 65}, {"identifier": "M67", "position": [9, 2], "step": 65, "ordinal_position": 66}, {"identifier": "U51", "position": [9, 1], "step": 66, "ordinal_position": 67}, {"identifier": "W83", "position": [8, 1], "step": 67, "ordinal_position": 68}, {"identifier": "V72", "position": [7, 1], "step": 68, "ordinal_position": 69}, {"identifier": "Y23", "position": [6, 1], "step": 69, "ordinal_position": 70}, {"identifier": "S89", "position": [5, 1], "step": 70, "ordinal_position": 71}, {"identifier": "J28", "position": [4, 1], "step": 71, "ordinal_position": 72}, {"identifier": "Z52", "position": [3, 1], "step": 72, "ordinal_position": 73}, {"identifier": "X02", "position": [2, 1], "step": 73, "ordinal_position": 74}, {"identifier": "M42", "position": [1, 1], "step": 74, "ordinal_position": 75}, {"identifier": "G60", "position": [1, 2], "step": 75, "ordinal_position": 76}, {"identifier": "Z24", "position": [1, 3], "step": 76, "ordinal_position": 77}, {"identifier": "E34", "position": [1, 4], "step": 77, "ordinal_position": 78}, {"identifier": "C00", "position": [1, 5], "step": 78, "ordinal_position": 79}, {"identifier": "O36", "position": [1, 6], "step": 79, "ordinal_position": 80}, {"identifier": "V20", "position": [1, 7], "step": 80, "ordinal_position": 81}, {"identifier": "U65", "position": [1, 8], "step": 81, "ordinal_position": 82}, {"identifier": "N29", "position": [1, 9], "step": 82, "ordinal_position": 83}, {"identifier": "X25", "position": [2, 9], "step": 83, "ordinal_position": 84}, {"identifier": "G80", "position": [3, 9], "step": 84, "ordinal_position": 85}, {"identifier": "U96", "position": [4, 9], "step": 85, "ordinal_position": 86}, {"identifier": "Q65", "position": [5, 9], "step": 86, "ordinal_position": 87}, {"identifier": "K98", "position": [5, 8], "step": 87, "ordinal_position": 88}, {"identifier": "Z22", "position": [5, 7], "step": 88, "ordinal_position": 89}, {"identifier": "O49", "position": [6, 7], "step": 89, "ordinal_position": 90}, {"identifier": "P01", "position": [7, 7], "step": 90, "ordinal_position": 91}, {"identifier": "C40", "position": [7, 8], "step": 91, "ordinal_position": 92}, {"identifier": "J08", "position": [7, 9], "step": 92, "ordinal_position": 93}, {"identifier": "L18", "position": [8, 9], "step": 93, "ordinal_position": 94}, {"identifier": "K23", "position": [9, 9], "step": 94, "ordinal_position": 95}, {"identifier": "D08", "position": [9, 8], "step": 95, "ordinal_position": 96}, {"identifier": "A34", "position": [9, 7], "step": 96, "ordinal_position": 97}, {"identifier": "M77", "position": [9, 6], "step": 97, "ordinal_position": 98}, {"identifier": "S25", "position": [9, 5], "step": 98, "ordinal_position": 99}, {"identifier": "L43", "position": [9, 4], "step": 99, "ordinal_position": 100}, {"identifier": "S62", "position": [9, 3], "step": 100, "ordinal_position": 101}, {"identifier": "M67", "position": [9, 2], "step": 101, "ordinal_position": 102}, {"identifier": "U51", "position": [9, 1], "step": 102, "ordinal_position": 103}, {"identifier": "W83", "position": [8, 1], "step": 103, "ordinal_position": 104}, {"identifier": "V72", "position": [7, 1], "step": 104, "ordinal_position": 105}, {"identifier": "Y23", "position": [6, 1], "step": 105, "ordinal_position": 106}, {"identifier": "S89", "position": [5, 1], "step": 106, "ordinal_position": 107}, {"identifier": "J28", "position": [4, 1], "step": 107, "ordinal_position": 108}, {"identifier": "Z52", "position": [3, 1], "step": 108, "ordinal_position": 109}, {"identifier": "X02", "position": [2, 1], "step": 109, "ordinal_position": 110}, {"identifier": "M42", "position": [1, 1], "step": 110, "ordinal_position": 111}, {"identifier": "G60", "position": [1, 2], "step": 111, "ordinal_position": 112}, {"identifier": "Z24", "position": [1, 3], "step": 112, "ordinal_position": 113}, {"identifier": "E34", "position": [1, 4], "step": 113, "ordinal_position": 114}, {"identifier": "C00", "position": [1, 5], "step": 114, "ordinal_position": 115}, {"identifier": "O36", "position": [1, 6], "step": 115, "ordinal_position": 116}, {"identifier": "V20", "position": [1, 7], "step": 116, "ordinal_position": 117}, {"identifier": "U65", "position": [1, 8], "step": 117, "ordinal_position": 118}, {"identifier": "N29", "position": [1, 9], "step": 118, "ordinal_position": 119}, {"identifier": "X25", "position": [2, 9], "step": 119, "ordinal_position": 120}, {"identifier": "G80", "position": [3, 9], "step": 120, "ordinal_position": 121}, {"identifier": "U96", "position": [4, 9], "step": 121, "ordinal_position": 122}, {"identifier": "Q65", "position": [5, 9], "step": 122, "ordinal_position": 123}, {"identifier": "K98", "position": [5, 8], "step": 123, "ordinal_position": 124}, {"identifier": "Z22", "position": [5, 7], "step": 124, "ordinal_position": 125}, {"identifier": "O49", "position": [6, 7], "step": 125, "ordinal_position": 126}, {"identifier": "P01", "position": [7, 7], "step": 126, "ordinal_position": 127}, {"identifier": "C40", "position": [7, 8], "step": 127, "ordinal_position": 128}, {"identifier": "J08", "position": [7, 9], "step": 128, "ordinal_position": 129}, {"identifier": "L18", "position": [8, 9], "step": 129, "ordinal_position": 130}, {"identifier": "K23", "position": [9, 9], "step": 130, "ordinal_position": 131}, {"identifier": "D08", "position": [9, 8], "step": 131, "ordinal_position": 132}, {"identifier": "A34", "position": [9, 7], "step": 132, "ordinal_position": 133}, {"identifier": "M77", "position": [9, 6], "step": 133, "ordinal_position": 134}, {"identifier": "S25", "position": [9, 5], "step": 134, "ordinal_position": 135}, {"identifier": "L43", "position": [9, 4], "step": 135, "ordinal_position": 136}, {"identifier": "S62", "position": [9, 3], "step": 136, "ordinal_position": 137}, {"identifier": "M67", "position": [9, 2], "step": 137, "ordinal_position": 138}, {"identifier": "U51", "position": [9, 1], "step": 138, "ordinal_position": 139}, {"identifier": "W83", "position": [8, 1], "step": 139, "ordinal_position": 140}, {"identifier": "V72", "position": [7, 1], "step": 140, "ordinal_position": 141}, {"identifier": "Y23", "position": [6, 1], "step": 141, "ordinal_position": 142}, {"identifier": "S89", "position": [5, 1], "step": 142, "ordinal_position": 143}, {"identifier": "J28", "position": [4, 1], "step": 143, "ordinal_position": 144}, {"identifier": "Z52", "position": [3, 1], "step": 144, "ordinal_position": 145}, {"identifier": "X02", "position": [2, 1], "step": 145, "ordinal_position": 146}, {"identifier": "M42", "position": [1, 1], "step": 146, "ordinal_position": 147}, {"identifier": "G60", "position": [1, 2], "step": 147, "ordinal_position": 148}, {"identifier": "Z24", "position": [1, 3], "step": 148, "ordinal_position": 149}, {"identifier": "E34", "position": [1, 4], "step": 149, "ordinal_position": 150}, {"identifier": "C00", "position": [1, 5], "step": 150, "ordinal_position": 151}, {"identifier": "O36", "position": [1, 6], "step": 151, "ordinal_position": 152}, {"identifier": "V20", "position": [1, 7], "step": 152, "ordinal_position": 153}, {"identifier": "U65", "position": [1, 8], "step": 153, "ordinal_position": 154}, {"identifier": "N29", "position": [1, 9], "step": 154, "ordinal_position": 155}, {"identifier": "X25", "position": [2, 9], "step": 155, "ordinal_position": 156}, {"identifier": "G80", "position": [3, 9], "step": 156, "ordinal_position": 157}, {"identifier": "U96", "position": [4, 9], "step": 157, "ordinal_position": 158}, {"identifier": "Q65", "position": [5, 9], "step": 158, "ordinal_position": 159}, {"identifier": "K98", "position": [5, 8], "step": 159, "ordinal_position": 160}, {"identifier": "Z22", "position": [5, 7], "step": 160, "ordinal_position": 161}, {"identifier": "O49", "position": [6, 7], "step": 161, "ordinal_position": 162}, {"identifier": "P01", "position": [7, 7], "step": 162, "ordinal_position": 163}, {"identifier": "C40", "position": [7, 8], "step": 163, "ordinal_position": 164}, {"identifier": "J08", "position": [7, 9], "step": 164, "ordinal_position": 165}, {"identifier": "L18", "position": [8, 9], "step": 165, "ordinal_position": 166}, {"identifier": "K23", "position": [9, 9], "step": 166, "ordinal_position": 167}, {"identifier": "D08", "position": [9, 8], "step": 167, "ordinal_position": 168}, {"identifier": "A34", "position": [9, 7], "step": 168, "ordinal_position": 169}, {"identifier": "M77", "position": [9, 6], "step": 169, "ordinal_position": 170}, {"identifier": "S25", "position": [9, 5], "step": 170, "ordinal_position": 171}, {"identifier": "L43", "position": [9, 4], "step": 171, "ordinal_position": 172}, {"identifier": "S62", "position": [9, 3], "step": 172, "ordinal_position": 173}, {"identifier": "M67", "position": [9, 2], "step": 173, "ordinal_position": 174}, {"identifier": "U51", "position": [9, 1], "step": 174, "ordinal_position": 175}, {"identifier": "W83", "position": [8, 1], "step": 175, "ordinal_position": 176}, {"identifier": "V72", "position": [7, 1], "step": 176, "ordinal_position": 177}, {"identifier": "Y23", "position": [6, 1], "step": 177, "ordinal_position": 178}, {"identifier": "S89", "position": [5, 1], "step": 178, "ordinal_position": 179}, {"identifier": "J28", "position": [4, 1], "step": 179, "ordinal_position": 180}, {"identifier": "Z52", "position": [3, 1], "step": 180, "ordinal_position": 181}, {"identifier": "X02", "position": [2, 1], "step": 181, "ordinal_position": 182}, {"identifier": "M42", "position": [1, 1], "step": 182, "ordinal_position": 183}, {"identifier": "G60", "position": [1, 2], "step": 183, "ordinal_position": 184}, {"identifier": "Z24", "position": [1, 3], "step": 184, "ordinal_position": 185}, {"identifier": "E34", "position": [1, 4], "step": 185, "ordinal_position": 186}, {"identifier": "C00", "position": [1, 5], "step": 186, "ordinal_position": 187}, {"identifier": "O36", "position": [1, 6], "step": 187, "ordinal_position": 188}, {"identifier": "V20", "position": [1, 7], "step": 188, "ordinal_position": 189}, {"identifier": "U65", "position": [1, 8], "step": 189, "ordinal_position": 190}, {"identifier": "N29", "position": [1, 9], "step": 190, "ordinal_position": 191}, {"identifier": "X25", "position": [2, 9], "step": 191, "ordinal_position": 192}, {"identifier": "G80", "position": [3, 9], "step": 192, "ordinal_position": 193}, {"identifier": "U96", "position": [4, 9], "step": 193, "ordinal_position": 194}, {"identifier": "Q65", "position": [5, 9], "step": 194, "ordinal_position": 195}, {"identifier": "K98", "position": [5, 8], "step": 195, "ordinal_position": 196}, {"identifier": "Z22", "position": [5, 7], "step": 196, "ordinal_position": 197}, {"identifier": "O49", "position": [6, 7], "step": 197, "ordinal_position": 198}, {"identifier": "P01", "position": [7, 7], "step": 198, "ordinal_position": 199}, {"identifier": "C40", "position": [7, 8], "step": 199, "ordinal_position": 200}, {"identifier": "J08", "position": [7, 9], "step": 200, "ordinal_position": 201}, {"identifier": "L18", "position": [8, 9], "step": 201, "ordinal_position": 202}, {"identifier": "K23", "position": [9, 9], "step": 202, "ordinal_position": 203}, {"identifier": "D08", "position": [9, 8], "step": 203, "ordinal_position": 204}, {"identifier": "A34", "position": [9, 7], "step": 204, "ordinal_position": 205}, {"identifier": "M77", "position": [9, 6], "step": 205, "ordinal_position": 206}, {"identifier": "S25", "position": [9, 5], "step": 206, "ordinal_position": 207}, {"identifier": "L43", "position": [9, 4], "step": 207, "ordinal_position": 208}, {"identifier": "S62", "position": [9, 3], "step": 208, "ordinal_position": 209}, {"identifier": "M67", "position": [9, 2], "step": 209, "ordinal_position": 210}, {"identifier": "U51", "position": [9, 1], "step": 210, "ordinal_position": 211}, {"identifier": "W83", "position": [8, 1], "step": 211, "ordinal_position": 212}, {"identifier": "V72", "position": [7, 1], "step": 212, "ordinal_position": 213}, {"identifier": "Y23", "position": [6, 1], "step": 213, "ordinal_position": 214}, {"identifier": "S89", "position": [5, 1], "step": 214, "ordinal_position": 215}, {"identifier": "J28", "position": [4, 1], "step": 215, "ordinal_position": 216}, {"identifier": "Z52", "position": [3, 1], "step": 216, "ordinal_position": 217}, {"identifier": "X02", "position": [2, 1], "step": 217, "ordinal_position": 218}, {"identifier": "M42", "position": [1, 1], "step": 218, "ordinal_position": 219}, {"identifier": "G60", "position": [1, 2], "step": 219, "ordinal_position": 220}, {"identifier": "Z24", "position": [1, 3], "step": 220, "ordinal_position": 221}, {"identifier": "E34", "position": [1, 4], "step": 221, "ordinal_position": 222}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 222, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_002.json"}} {"qa_id": "5870bc25c18a4323ab51b26f0584eb8e", "image_id": "L3-MazeLoop-test_11x11_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U51, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 272nd position in this traversal?", "start_object_id": "U51", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [272], "ordinal_strings": ["272nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U96", "traversal_path": [{"identifier": "U51", "position": [9, 1], "step": 0, "ordinal_position": 1}, {"identifier": "W83", "position": [8, 1], "step": 1, "ordinal_position": 2}, {"identifier": "V72", "position": [7, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Y23", "position": [6, 1], "step": 3, "ordinal_position": 4}, {"identifier": "S89", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "J28", "position": [4, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Z52", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "X02", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "M42", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "G60", "position": [1, 2], "step": 9, "ordinal_position": 10}, {"identifier": "Z24", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "E34", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "C00", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "O36", "position": [1, 6], "step": 13, "ordinal_position": 14}, {"identifier": "V20", "position": [1, 7], "step": 14, "ordinal_position": 15}, {"identifier": "U65", "position": [1, 8], "step": 15, "ordinal_position": 16}, {"identifier": "N29", "position": [1, 9], "step": 16, "ordinal_position": 17}, {"identifier": "X25", "position": [2, 9], "step": 17, "ordinal_position": 18}, {"identifier": "G80", "position": [3, 9], "step": 18, "ordinal_position": 19}, {"identifier": "U96", "position": [4, 9], "step": 19, "ordinal_position": 20}, {"identifier": "Q65", "position": [5, 9], "step": 20, "ordinal_position": 21}, {"identifier": "K98", "position": [5, 8], "step": 21, "ordinal_position": 22}, {"identifier": "Z22", "position": [5, 7], "step": 22, "ordinal_position": 23}, {"identifier": "O49", "position": [6, 7], "step": 23, "ordinal_position": 24}, {"identifier": "P01", "position": [7, 7], "step": 24, "ordinal_position": 25}, {"identifier": "C40", "position": [7, 8], "step": 25, "ordinal_position": 26}, {"identifier": "J08", "position": [7, 9], "step": 26, "ordinal_position": 27}, {"identifier": "L18", "position": [8, 9], "step": 27, "ordinal_position": 28}, {"identifier": "K23", "position": [9, 9], "step": 28, "ordinal_position": 29}, {"identifier": "D08", "position": [9, 8], "step": 29, "ordinal_position": 30}, {"identifier": "A34", "position": [9, 7], "step": 30, "ordinal_position": 31}, {"identifier": "M77", "position": [9, 6], "step": 31, "ordinal_position": 32}, {"identifier": "S25", "position": [9, 5], "step": 32, "ordinal_position": 33}, {"identifier": "L43", "position": [9, 4], "step": 33, "ordinal_position": 34}, {"identifier": "S62", "position": [9, 3], "step": 34, "ordinal_position": 35}, {"identifier": "M67", "position": [9, 2], "step": 35, "ordinal_position": 36}, {"identifier": "U51", "position": [9, 1], "step": 36, "ordinal_position": 37}, {"identifier": "W83", "position": [8, 1], "step": 37, "ordinal_position": 38}, {"identifier": "V72", "position": [7, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Y23", "position": [6, 1], "step": 39, "ordinal_position": 40}, {"identifier": "S89", "position": [5, 1], "step": 40, "ordinal_position": 41}, {"identifier": "J28", "position": [4, 1], "step": 41, "ordinal_position": 42}, {"identifier": "Z52", "position": [3, 1], "step": 42, "ordinal_position": 43}, {"identifier": "X02", "position": [2, 1], "step": 43, "ordinal_position": 44}, {"identifier": "M42", "position": [1, 1], "step": 44, "ordinal_position": 45}, {"identifier": "G60", "position": [1, 2], "step": 45, "ordinal_position": 46}, {"identifier": "Z24", "position": [1, 3], "step": 46, "ordinal_position": 47}, {"identifier": "E34", "position": [1, 4], "step": 47, "ordinal_position": 48}, {"identifier": "C00", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "O36", "position": [1, 6], "step": 49, "ordinal_position": 50}, {"identifier": "V20", "position": [1, 7], "step": 50, "ordinal_position": 51}, {"identifier": "U65", "position": [1, 8], "step": 51, "ordinal_position": 52}, {"identifier": "N29", "position": [1, 9], "step": 52, "ordinal_position": 53}, {"identifier": "X25", "position": [2, 9], "step": 53, "ordinal_position": 54}, {"identifier": "G80", "position": [3, 9], "step": 54, "ordinal_position": 55}, {"identifier": "U96", "position": [4, 9], "step": 55, "ordinal_position": 56}, {"identifier": "Q65", "position": [5, 9], "step": 56, "ordinal_position": 57}, {"identifier": "K98", "position": [5, 8], "step": 57, "ordinal_position": 58}, {"identifier": "Z22", "position": [5, 7], "step": 58, "ordinal_position": 59}, {"identifier": "O49", "position": [6, 7], "step": 59, "ordinal_position": 60}, {"identifier": "P01", "position": [7, 7], "step": 60, "ordinal_position": 61}, {"identifier": "C40", "position": [7, 8], "step": 61, "ordinal_position": 62}, {"identifier": "J08", "position": [7, 9], "step": 62, "ordinal_position": 63}, {"identifier": "L18", "position": [8, 9], "step": 63, "ordinal_position": 64}, {"identifier": "K23", "position": [9, 9], "step": 64, "ordinal_position": 65}, {"identifier": "D08", "position": [9, 8], "step": 65, "ordinal_position": 66}, {"identifier": "A34", "position": [9, 7], "step": 66, "ordinal_position": 67}, {"identifier": "M77", "position": [9, 6], "step": 67, "ordinal_position": 68}, {"identifier": "S25", "position": [9, 5], "step": 68, "ordinal_position": 69}, {"identifier": "L43", "position": [9, 4], "step": 69, "ordinal_position": 70}, {"identifier": "S62", "position": [9, 3], "step": 70, "ordinal_position": 71}, {"identifier": "M67", "position": [9, 2], "step": 71, "ordinal_position": 72}, {"identifier": "U51", "position": [9, 1], "step": 72, "ordinal_position": 73}, {"identifier": "W83", "position": [8, 1], "step": 73, "ordinal_position": 74}, {"identifier": "V72", "position": [7, 1], "step": 74, "ordinal_position": 75}, {"identifier": "Y23", "position": [6, 1], "step": 75, "ordinal_position": 76}, {"identifier": "S89", "position": [5, 1], "step": 76, "ordinal_position": 77}, {"identifier": "J28", "position": [4, 1], "step": 77, "ordinal_position": 78}, {"identifier": "Z52", "position": [3, 1], "step": 78, "ordinal_position": 79}, {"identifier": "X02", "position": [2, 1], "step": 79, "ordinal_position": 80}, {"identifier": "M42", "position": [1, 1], "step": 80, "ordinal_position": 81}, {"identifier": "G60", "position": [1, 2], "step": 81, "ordinal_position": 82}, {"identifier": "Z24", "position": [1, 3], "step": 82, "ordinal_position": 83}, {"identifier": "E34", "position": [1, 4], "step": 83, "ordinal_position": 84}, {"identifier": "C00", "position": [1, 5], "step": 84, "ordinal_position": 85}, {"identifier": "O36", "position": [1, 6], "step": 85, "ordinal_position": 86}, {"identifier": "V20", "position": [1, 7], "step": 86, "ordinal_position": 87}, {"identifier": "U65", "position": [1, 8], "step": 87, "ordinal_position": 88}, {"identifier": "N29", "position": [1, 9], "step": 88, "ordinal_position": 89}, {"identifier": "X25", "position": [2, 9], "step": 89, "ordinal_position": 90}, {"identifier": "G80", "position": [3, 9], "step": 90, "ordinal_position": 91}, {"identifier": "U96", "position": [4, 9], "step": 91, "ordinal_position": 92}, {"identifier": "Q65", "position": [5, 9], "step": 92, "ordinal_position": 93}, {"identifier": "K98", "position": [5, 8], "step": 93, "ordinal_position": 94}, {"identifier": "Z22", "position": [5, 7], "step": 94, "ordinal_position": 95}, {"identifier": "O49", "position": [6, 7], "step": 95, "ordinal_position": 96}, {"identifier": "P01", "position": [7, 7], "step": 96, "ordinal_position": 97}, {"identifier": "C40", "position": [7, 8], "step": 97, "ordinal_position": 98}, {"identifier": "J08", "position": [7, 9], "step": 98, "ordinal_position": 99}, {"identifier": "L18", "position": [8, 9], "step": 99, "ordinal_position": 100}, {"identifier": "K23", "position": [9, 9], "step": 100, "ordinal_position": 101}, {"identifier": "D08", "position": [9, 8], "step": 101, "ordinal_position": 102}, {"identifier": "A34", "position": [9, 7], "step": 102, "ordinal_position": 103}, {"identifier": "M77", "position": [9, 6], "step": 103, "ordinal_position": 104}, {"identifier": "S25", "position": [9, 5], "step": 104, "ordinal_position": 105}, {"identifier": "L43", "position": [9, 4], "step": 105, "ordinal_position": 106}, {"identifier": "S62", "position": [9, 3], "step": 106, "ordinal_position": 107}, {"identifier": "M67", "position": [9, 2], "step": 107, "ordinal_position": 108}, {"identifier": "U51", "position": [9, 1], "step": 108, "ordinal_position": 109}, {"identifier": "W83", "position": [8, 1], "step": 109, "ordinal_position": 110}, {"identifier": "V72", "position": [7, 1], "step": 110, "ordinal_position": 111}, {"identifier": "Y23", "position": [6, 1], "step": 111, "ordinal_position": 112}, {"identifier": "S89", "position": [5, 1], "step": 112, "ordinal_position": 113}, {"identifier": "J28", "position": [4, 1], "step": 113, "ordinal_position": 114}, {"identifier": "Z52", "position": [3, 1], "step": 114, "ordinal_position": 115}, {"identifier": "X02", "position": [2, 1], "step": 115, "ordinal_position": 116}, {"identifier": "M42", "position": [1, 1], "step": 116, "ordinal_position": 117}, {"identifier": "G60", "position": [1, 2], "step": 117, "ordinal_position": 118}, {"identifier": "Z24", "position": [1, 3], "step": 118, "ordinal_position": 119}, {"identifier": "E34", "position": [1, 4], "step": 119, "ordinal_position": 120}, {"identifier": "C00", "position": [1, 5], "step": 120, "ordinal_position": 121}, {"identifier": "O36", "position": [1, 6], "step": 121, "ordinal_position": 122}, {"identifier": "V20", "position": [1, 7], "step": 122, "ordinal_position": 123}, {"identifier": "U65", "position": [1, 8], "step": 123, "ordinal_position": 124}, {"identifier": "N29", "position": [1, 9], "step": 124, "ordinal_position": 125}, {"identifier": "X25", "position": [2, 9], "step": 125, "ordinal_position": 126}, {"identifier": "G80", "position": [3, 9], "step": 126, "ordinal_position": 127}, {"identifier": "U96", "position": [4, 9], "step": 127, "ordinal_position": 128}, {"identifier": "Q65", "position": [5, 9], "step": 128, "ordinal_position": 129}, {"identifier": "K98", "position": [5, 8], "step": 129, "ordinal_position": 130}, {"identifier": "Z22", "position": [5, 7], "step": 130, "ordinal_position": 131}, {"identifier": "O49", "position": [6, 7], "step": 131, "ordinal_position": 132}, {"identifier": "P01", "position": [7, 7], "step": 132, "ordinal_position": 133}, {"identifier": "C40", "position": [7, 8], "step": 133, "ordinal_position": 134}, {"identifier": "J08", "position": [7, 9], "step": 134, "ordinal_position": 135}, {"identifier": "L18", "position": [8, 9], "step": 135, "ordinal_position": 136}, {"identifier": "K23", "position": [9, 9], "step": 136, "ordinal_position": 137}, {"identifier": "D08", "position": [9, 8], "step": 137, "ordinal_position": 138}, {"identifier": "A34", "position": [9, 7], "step": 138, "ordinal_position": 139}, {"identifier": "M77", "position": [9, 6], "step": 139, "ordinal_position": 140}, {"identifier": "S25", "position": [9, 5], "step": 140, "ordinal_position": 141}, {"identifier": "L43", "position": [9, 4], "step": 141, "ordinal_position": 142}, {"identifier": "S62", "position": [9, 3], "step": 142, "ordinal_position": 143}, {"identifier": "M67", "position": [9, 2], "step": 143, "ordinal_position": 144}, {"identifier": "U51", "position": [9, 1], "step": 144, "ordinal_position": 145}, {"identifier": "W83", "position": [8, 1], "step": 145, "ordinal_position": 146}, {"identifier": "V72", "position": [7, 1], "step": 146, "ordinal_position": 147}, {"identifier": "Y23", "position": [6, 1], "step": 147, "ordinal_position": 148}, {"identifier": "S89", "position": [5, 1], "step": 148, "ordinal_position": 149}, {"identifier": "J28", "position": [4, 1], "step": 149, "ordinal_position": 150}, {"identifier": "Z52", "position": [3, 1], "step": 150, "ordinal_position": 151}, {"identifier": "X02", "position": [2, 1], "step": 151, "ordinal_position": 152}, {"identifier": "M42", "position": [1, 1], "step": 152, "ordinal_position": 153}, {"identifier": "G60", "position": [1, 2], "step": 153, "ordinal_position": 154}, {"identifier": "Z24", "position": [1, 3], "step": 154, "ordinal_position": 155}, {"identifier": "E34", "position": [1, 4], "step": 155, "ordinal_position": 156}, {"identifier": "C00", "position": [1, 5], "step": 156, "ordinal_position": 157}, {"identifier": "O36", "position": [1, 6], "step": 157, "ordinal_position": 158}, {"identifier": "V20", "position": [1, 7], "step": 158, "ordinal_position": 159}, {"identifier": "U65", "position": [1, 8], "step": 159, "ordinal_position": 160}, {"identifier": "N29", "position": [1, 9], "step": 160, "ordinal_position": 161}, {"identifier": "X25", "position": [2, 9], "step": 161, "ordinal_position": 162}, {"identifier": "G80", "position": [3, 9], "step": 162, "ordinal_position": 163}, {"identifier": "U96", "position": [4, 9], "step": 163, "ordinal_position": 164}, {"identifier": "Q65", "position": [5, 9], "step": 164, "ordinal_position": 165}, {"identifier": "K98", "position": [5, 8], "step": 165, "ordinal_position": 166}, {"identifier": "Z22", "position": [5, 7], "step": 166, "ordinal_position": 167}, {"identifier": "O49", "position": [6, 7], "step": 167, "ordinal_position": 168}, {"identifier": "P01", "position": [7, 7], "step": 168, "ordinal_position": 169}, {"identifier": "C40", "position": [7, 8], "step": 169, "ordinal_position": 170}, {"identifier": "J08", "position": [7, 9], "step": 170, "ordinal_position": 171}, {"identifier": "L18", "position": [8, 9], "step": 171, "ordinal_position": 172}, {"identifier": "K23", "position": [9, 9], "step": 172, "ordinal_position": 173}, {"identifier": "D08", "position": [9, 8], "step": 173, "ordinal_position": 174}, {"identifier": "A34", "position": [9, 7], "step": 174, "ordinal_position": 175}, {"identifier": "M77", "position": [9, 6], "step": 175, "ordinal_position": 176}, {"identifier": "S25", "position": [9, 5], "step": 176, "ordinal_position": 177}, {"identifier": "L43", "position": [9, 4], "step": 177, "ordinal_position": 178}, {"identifier": "S62", "position": [9, 3], "step": 178, "ordinal_position": 179}, {"identifier": "M67", "position": [9, 2], "step": 179, "ordinal_position": 180}, {"identifier": "U51", "position": [9, 1], "step": 180, "ordinal_position": 181}, {"identifier": "W83", "position": [8, 1], "step": 181, "ordinal_position": 182}, {"identifier": "V72", "position": [7, 1], "step": 182, "ordinal_position": 183}, {"identifier": "Y23", "position": [6, 1], "step": 183, "ordinal_position": 184}, {"identifier": "S89", "position": [5, 1], "step": 184, "ordinal_position": 185}, {"identifier": "J28", "position": [4, 1], "step": 185, "ordinal_position": 186}, {"identifier": "Z52", "position": [3, 1], "step": 186, "ordinal_position": 187}, {"identifier": "X02", "position": [2, 1], "step": 187, "ordinal_position": 188}, {"identifier": "M42", "position": [1, 1], "step": 188, "ordinal_position": 189}, {"identifier": "G60", "position": [1, 2], "step": 189, "ordinal_position": 190}, {"identifier": "Z24", "position": [1, 3], "step": 190, "ordinal_position": 191}, {"identifier": "E34", "position": [1, 4], "step": 191, "ordinal_position": 192}, {"identifier": "C00", "position": [1, 5], "step": 192, "ordinal_position": 193}, {"identifier": "O36", "position": [1, 6], "step": 193, "ordinal_position": 194}, {"identifier": "V20", "position": [1, 7], "step": 194, "ordinal_position": 195}, {"identifier": "U65", "position": [1, 8], "step": 195, "ordinal_position": 196}, {"identifier": "N29", "position": [1, 9], "step": 196, "ordinal_position": 197}, {"identifier": "X25", "position": [2, 9], "step": 197, "ordinal_position": 198}, {"identifier": "G80", "position": [3, 9], "step": 198, "ordinal_position": 199}, {"identifier": "U96", "position": [4, 9], "step": 199, "ordinal_position": 200}, {"identifier": "Q65", "position": [5, 9], "step": 200, "ordinal_position": 201}, {"identifier": "K98", "position": [5, 8], "step": 201, "ordinal_position": 202}, {"identifier": "Z22", "position": [5, 7], "step": 202, "ordinal_position": 203}, {"identifier": "O49", "position": [6, 7], "step": 203, "ordinal_position": 204}, {"identifier": "P01", "position": [7, 7], "step": 204, "ordinal_position": 205}, {"identifier": "C40", "position": [7, 8], "step": 205, "ordinal_position": 206}, {"identifier": "J08", "position": [7, 9], "step": 206, "ordinal_position": 207}, {"identifier": "L18", "position": [8, 9], "step": 207, "ordinal_position": 208}, {"identifier": "K23", "position": [9, 9], "step": 208, "ordinal_position": 209}, {"identifier": "D08", "position": [9, 8], "step": 209, "ordinal_position": 210}, {"identifier": "A34", "position": [9, 7], "step": 210, "ordinal_position": 211}, {"identifier": "M77", "position": [9, 6], "step": 211, "ordinal_position": 212}, {"identifier": "S25", "position": [9, 5], "step": 212, "ordinal_position": 213}, {"identifier": "L43", "position": [9, 4], "step": 213, "ordinal_position": 214}, {"identifier": "S62", "position": [9, 3], "step": 214, "ordinal_position": 215}, {"identifier": "M67", "position": [9, 2], "step": 215, "ordinal_position": 216}, {"identifier": "U51", "position": [9, 1], "step": 216, "ordinal_position": 217}, {"identifier": "W83", "position": [8, 1], "step": 217, "ordinal_position": 218}, {"identifier": "V72", "position": [7, 1], "step": 218, "ordinal_position": 219}, {"identifier": "Y23", "position": [6, 1], "step": 219, "ordinal_position": 220}, {"identifier": "S89", "position": [5, 1], "step": 220, "ordinal_position": 221}, {"identifier": "J28", "position": [4, 1], "step": 221, "ordinal_position": 222}, {"identifier": "Z52", "position": [3, 1], "step": 222, "ordinal_position": 223}, {"identifier": "X02", "position": [2, 1], "step": 223, "ordinal_position": 224}, {"identifier": "M42", "position": [1, 1], "step": 224, "ordinal_position": 225}, {"identifier": "G60", "position": [1, 2], "step": 225, "ordinal_position": 226}, {"identifier": "Z24", "position": [1, 3], "step": 226, "ordinal_position": 227}, {"identifier": "E34", "position": [1, 4], "step": 227, "ordinal_position": 228}, {"identifier": "C00", "position": [1, 5], "step": 228, "ordinal_position": 229}, {"identifier": "O36", "position": [1, 6], "step": 229, "ordinal_position": 230}, {"identifier": "V20", "position": [1, 7], "step": 230, "ordinal_position": 231}, {"identifier": "U65", "position": [1, 8], "step": 231, "ordinal_position": 232}, {"identifier": "N29", "position": [1, 9], "step": 232, "ordinal_position": 233}, {"identifier": "X25", "position": [2, 9], "step": 233, "ordinal_position": 234}, {"identifier": "G80", "position": [3, 9], "step": 234, "ordinal_position": 235}, {"identifier": "U96", "position": [4, 9], "step": 235, "ordinal_position": 236}, {"identifier": "Q65", "position": [5, 9], "step": 236, "ordinal_position": 237}, {"identifier": "K98", "position": [5, 8], "step": 237, "ordinal_position": 238}, {"identifier": "Z22", "position": [5, 7], "step": 238, "ordinal_position": 239}, {"identifier": "O49", "position": [6, 7], "step": 239, "ordinal_position": 240}, {"identifier": "P01", "position": [7, 7], "step": 240, "ordinal_position": 241}, {"identifier": "C40", "position": [7, 8], "step": 241, "ordinal_position": 242}, {"identifier": "J08", "position": [7, 9], "step": 242, "ordinal_position": 243}, {"identifier": "L18", "position": [8, 9], "step": 243, "ordinal_position": 244}, {"identifier": "K23", "position": [9, 9], "step": 244, "ordinal_position": 245}, {"identifier": "D08", "position": [9, 8], "step": 245, "ordinal_position": 246}, {"identifier": "A34", "position": [9, 7], "step": 246, "ordinal_position": 247}, {"identifier": "M77", "position": [9, 6], "step": 247, "ordinal_position": 248}, {"identifier": "S25", "position": [9, 5], "step": 248, "ordinal_position": 249}, {"identifier": "L43", "position": [9, 4], "step": 249, "ordinal_position": 250}, {"identifier": "S62", "position": [9, 3], "step": 250, "ordinal_position": 251}, {"identifier": "M67", "position": [9, 2], "step": 251, "ordinal_position": 252}, {"identifier": "U51", "position": [9, 1], "step": 252, "ordinal_position": 253}, {"identifier": "W83", "position": [8, 1], "step": 253, "ordinal_position": 254}, {"identifier": "V72", "position": [7, 1], "step": 254, "ordinal_position": 255}, {"identifier": "Y23", "position": [6, 1], "step": 255, "ordinal_position": 256}, {"identifier": "S89", "position": [5, 1], "step": 256, "ordinal_position": 257}, {"identifier": "J28", "position": [4, 1], "step": 257, "ordinal_position": 258}, {"identifier": "Z52", "position": [3, 1], "step": 258, "ordinal_position": 259}, {"identifier": "X02", "position": [2, 1], "step": 259, "ordinal_position": 260}, {"identifier": "M42", "position": [1, 1], "step": 260, "ordinal_position": 261}, {"identifier": "G60", "position": [1, 2], "step": 261, "ordinal_position": 262}, {"identifier": "Z24", "position": [1, 3], "step": 262, "ordinal_position": 263}, {"identifier": "E34", "position": [1, 4], "step": 263, "ordinal_position": 264}, {"identifier": "C00", "position": [1, 5], "step": 264, "ordinal_position": 265}, {"identifier": "O36", "position": [1, 6], "step": 265, "ordinal_position": 266}, {"identifier": "V20", "position": [1, 7], "step": 266, "ordinal_position": 267}, {"identifier": "U65", "position": [1, 8], "step": 267, "ordinal_position": 268}, {"identifier": "N29", "position": [1, 9], "step": 268, "ordinal_position": 269}, {"identifier": "X25", "position": [2, 9], "step": 269, "ordinal_position": 270}, {"identifier": "G80", "position": [3, 9], "step": 270, "ordinal_position": 271}, {"identifier": "U96", "position": [4, 9], "step": 271, "ordinal_position": 272}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 272, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_002.json"}} {"qa_id": "342f92664ba14811a2fdf72299cd59e4", "image_id": "L3-MazeLoop-test_11x11_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G80, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 226th position in this traversal?", "start_object_id": "G80", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [226], "ordinal_strings": ["226th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "L18", "traversal_path": [{"identifier": "G80", "position": [3, 9], "step": 0, "ordinal_position": 1}, {"identifier": "U96", "position": [4, 9], "step": 1, "ordinal_position": 2}, {"identifier": "Q65", "position": [5, 9], "step": 2, "ordinal_position": 3}, {"identifier": "K98", "position": [5, 8], "step": 3, "ordinal_position": 4}, {"identifier": "Z22", "position": [5, 7], "step": 4, "ordinal_position": 5}, {"identifier": "O49", "position": [6, 7], "step": 5, "ordinal_position": 6}, {"identifier": "P01", "position": [7, 7], "step": 6, "ordinal_position": 7}, {"identifier": "C40", "position": [7, 8], "step": 7, "ordinal_position": 8}, {"identifier": "J08", "position": [7, 9], "step": 8, "ordinal_position": 9}, {"identifier": "L18", "position": [8, 9], "step": 9, "ordinal_position": 10}, {"identifier": "K23", "position": [9, 9], "step": 10, "ordinal_position": 11}, {"identifier": "D08", "position": [9, 8], "step": 11, "ordinal_position": 12}, {"identifier": "A34", "position": [9, 7], "step": 12, "ordinal_position": 13}, {"identifier": "M77", "position": [9, 6], "step": 13, "ordinal_position": 14}, {"identifier": "S25", "position": [9, 5], "step": 14, "ordinal_position": 15}, {"identifier": "L43", "position": [9, 4], "step": 15, "ordinal_position": 16}, {"identifier": "S62", "position": [9, 3], "step": 16, "ordinal_position": 17}, {"identifier": "M67", "position": [9, 2], "step": 17, "ordinal_position": 18}, {"identifier": "U51", "position": [9, 1], "step": 18, "ordinal_position": 19}, {"identifier": "W83", "position": [8, 1], "step": 19, "ordinal_position": 20}, {"identifier": "V72", "position": [7, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Y23", "position": [6, 1], "step": 21, "ordinal_position": 22}, {"identifier": "S89", "position": [5, 1], "step": 22, "ordinal_position": 23}, {"identifier": "J28", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "Z52", "position": [3, 1], "step": 24, "ordinal_position": 25}, {"identifier": "X02", "position": [2, 1], "step": 25, "ordinal_position": 26}, {"identifier": "M42", "position": [1, 1], "step": 26, "ordinal_position": 27}, {"identifier": "G60", "position": [1, 2], "step": 27, "ordinal_position": 28}, {"identifier": "Z24", "position": [1, 3], "step": 28, "ordinal_position": 29}, {"identifier": "E34", "position": [1, 4], "step": 29, "ordinal_position": 30}, {"identifier": "C00", "position": [1, 5], "step": 30, "ordinal_position": 31}, {"identifier": "O36", "position": [1, 6], "step": 31, "ordinal_position": 32}, {"identifier": "V20", "position": [1, 7], "step": 32, "ordinal_position": 33}, {"identifier": "U65", "position": [1, 8], "step": 33, "ordinal_position": 34}, {"identifier": "N29", "position": [1, 9], "step": 34, "ordinal_position": 35}, {"identifier": "X25", "position": [2, 9], "step": 35, "ordinal_position": 36}, {"identifier": "G80", "position": [3, 9], "step": 36, "ordinal_position": 37}, {"identifier": "U96", "position": [4, 9], "step": 37, "ordinal_position": 38}, {"identifier": "Q65", "position": [5, 9], "step": 38, "ordinal_position": 39}, {"identifier": "K98", "position": [5, 8], "step": 39, "ordinal_position": 40}, {"identifier": "Z22", "position": [5, 7], "step": 40, "ordinal_position": 41}, {"identifier": "O49", "position": [6, 7], "step": 41, "ordinal_position": 42}, {"identifier": "P01", "position": [7, 7], "step": 42, "ordinal_position": 43}, {"identifier": "C40", "position": [7, 8], "step": 43, "ordinal_position": 44}, {"identifier": "J08", "position": [7, 9], "step": 44, "ordinal_position": 45}, {"identifier": "L18", "position": [8, 9], "step": 45, "ordinal_position": 46}, {"identifier": "K23", "position": [9, 9], "step": 46, "ordinal_position": 47}, {"identifier": "D08", "position": [9, 8], "step": 47, "ordinal_position": 48}, {"identifier": "A34", "position": [9, 7], "step": 48, "ordinal_position": 49}, {"identifier": "M77", "position": [9, 6], "step": 49, "ordinal_position": 50}, {"identifier": "S25", "position": [9, 5], "step": 50, "ordinal_position": 51}, {"identifier": "L43", "position": [9, 4], "step": 51, "ordinal_position": 52}, {"identifier": "S62", "position": [9, 3], "step": 52, "ordinal_position": 53}, {"identifier": "M67", "position": [9, 2], "step": 53, "ordinal_position": 54}, {"identifier": "U51", "position": [9, 1], "step": 54, "ordinal_position": 55}, {"identifier": "W83", "position": [8, 1], "step": 55, "ordinal_position": 56}, {"identifier": "V72", "position": [7, 1], "step": 56, "ordinal_position": 57}, {"identifier": "Y23", "position": [6, 1], "step": 57, "ordinal_position": 58}, {"identifier": "S89", "position": [5, 1], "step": 58, "ordinal_position": 59}, {"identifier": "J28", "position": [4, 1], "step": 59, "ordinal_position": 60}, {"identifier": "Z52", "position": [3, 1], "step": 60, "ordinal_position": 61}, {"identifier": "X02", "position": [2, 1], "step": 61, "ordinal_position": 62}, {"identifier": "M42", "position": [1, 1], "step": 62, "ordinal_position": 63}, {"identifier": "G60", "position": [1, 2], "step": 63, "ordinal_position": 64}, {"identifier": "Z24", "position": [1, 3], "step": 64, "ordinal_position": 65}, {"identifier": "E34", "position": [1, 4], "step": 65, "ordinal_position": 66}, {"identifier": "C00", "position": [1, 5], "step": 66, "ordinal_position": 67}, {"identifier": "O36", "position": [1, 6], "step": 67, "ordinal_position": 68}, {"identifier": "V20", "position": [1, 7], "step": 68, "ordinal_position": 69}, {"identifier": "U65", "position": [1, 8], "step": 69, "ordinal_position": 70}, {"identifier": "N29", "position": [1, 9], "step": 70, "ordinal_position": 71}, {"identifier": "X25", "position": [2, 9], "step": 71, "ordinal_position": 72}, {"identifier": "G80", "position": [3, 9], "step": 72, "ordinal_position": 73}, {"identifier": "U96", "position": [4, 9], "step": 73, "ordinal_position": 74}, {"identifier": "Q65", "position": [5, 9], "step": 74, "ordinal_position": 75}, {"identifier": "K98", "position": [5, 8], "step": 75, "ordinal_position": 76}, {"identifier": "Z22", "position": [5, 7], "step": 76, "ordinal_position": 77}, {"identifier": "O49", "position": [6, 7], "step": 77, "ordinal_position": 78}, {"identifier": "P01", "position": [7, 7], "step": 78, "ordinal_position": 79}, {"identifier": "C40", "position": [7, 8], "step": 79, "ordinal_position": 80}, {"identifier": "J08", "position": [7, 9], "step": 80, "ordinal_position": 81}, {"identifier": "L18", "position": [8, 9], "step": 81, "ordinal_position": 82}, {"identifier": "K23", "position": [9, 9], "step": 82, "ordinal_position": 83}, {"identifier": "D08", "position": [9, 8], "step": 83, "ordinal_position": 84}, {"identifier": "A34", "position": [9, 7], "step": 84, "ordinal_position": 85}, {"identifier": "M77", "position": [9, 6], "step": 85, "ordinal_position": 86}, {"identifier": "S25", "position": [9, 5], "step": 86, "ordinal_position": 87}, {"identifier": "L43", "position": [9, 4], "step": 87, "ordinal_position": 88}, {"identifier": "S62", "position": [9, 3], "step": 88, "ordinal_position": 89}, {"identifier": "M67", "position": [9, 2], "step": 89, "ordinal_position": 90}, {"identifier": "U51", "position": [9, 1], "step": 90, "ordinal_position": 91}, {"identifier": "W83", "position": [8, 1], "step": 91, "ordinal_position": 92}, {"identifier": "V72", "position": [7, 1], "step": 92, "ordinal_position": 93}, {"identifier": "Y23", "position": [6, 1], "step": 93, "ordinal_position": 94}, {"identifier": "S89", "position": [5, 1], "step": 94, "ordinal_position": 95}, {"identifier": "J28", "position": [4, 1], "step": 95, "ordinal_position": 96}, {"identifier": "Z52", "position": [3, 1], "step": 96, "ordinal_position": 97}, {"identifier": "X02", "position": [2, 1], "step": 97, "ordinal_position": 98}, {"identifier": "M42", "position": [1, 1], "step": 98, "ordinal_position": 99}, {"identifier": "G60", "position": [1, 2], "step": 99, "ordinal_position": 100}, {"identifier": "Z24", "position": [1, 3], "step": 100, "ordinal_position": 101}, {"identifier": "E34", "position": [1, 4], "step": 101, "ordinal_position": 102}, {"identifier": "C00", "position": [1, 5], "step": 102, "ordinal_position": 103}, {"identifier": "O36", "position": [1, 6], "step": 103, "ordinal_position": 104}, {"identifier": "V20", "position": [1, 7], "step": 104, "ordinal_position": 105}, {"identifier": "U65", "position": [1, 8], "step": 105, "ordinal_position": 106}, {"identifier": "N29", "position": [1, 9], "step": 106, "ordinal_position": 107}, {"identifier": "X25", "position": [2, 9], "step": 107, "ordinal_position": 108}, {"identifier": "G80", "position": [3, 9], "step": 108, "ordinal_position": 109}, {"identifier": "U96", "position": [4, 9], "step": 109, "ordinal_position": 110}, {"identifier": "Q65", "position": [5, 9], "step": 110, "ordinal_position": 111}, {"identifier": "K98", "position": [5, 8], "step": 111, "ordinal_position": 112}, {"identifier": "Z22", "position": [5, 7], "step": 112, "ordinal_position": 113}, {"identifier": "O49", "position": [6, 7], "step": 113, "ordinal_position": 114}, {"identifier": "P01", "position": [7, 7], "step": 114, "ordinal_position": 115}, {"identifier": "C40", "position": [7, 8], "step": 115, "ordinal_position": 116}, {"identifier": "J08", "position": [7, 9], "step": 116, "ordinal_position": 117}, {"identifier": "L18", "position": [8, 9], "step": 117, "ordinal_position": 118}, {"identifier": "K23", "position": [9, 9], "step": 118, "ordinal_position": 119}, {"identifier": "D08", "position": [9, 8], "step": 119, "ordinal_position": 120}, {"identifier": "A34", "position": [9, 7], "step": 120, "ordinal_position": 121}, {"identifier": "M77", "position": [9, 6], "step": 121, "ordinal_position": 122}, {"identifier": "S25", "position": [9, 5], "step": 122, "ordinal_position": 123}, {"identifier": "L43", "position": [9, 4], "step": 123, "ordinal_position": 124}, {"identifier": "S62", "position": [9, 3], "step": 124, "ordinal_position": 125}, {"identifier": "M67", "position": [9, 2], "step": 125, "ordinal_position": 126}, {"identifier": "U51", "position": [9, 1], "step": 126, "ordinal_position": 127}, {"identifier": "W83", "position": [8, 1], "step": 127, "ordinal_position": 128}, {"identifier": "V72", "position": [7, 1], "step": 128, "ordinal_position": 129}, {"identifier": "Y23", "position": [6, 1], "step": 129, "ordinal_position": 130}, {"identifier": "S89", "position": [5, 1], "step": 130, "ordinal_position": 131}, {"identifier": "J28", "position": [4, 1], "step": 131, "ordinal_position": 132}, {"identifier": "Z52", "position": [3, 1], "step": 132, "ordinal_position": 133}, {"identifier": "X02", "position": [2, 1], "step": 133, "ordinal_position": 134}, {"identifier": "M42", "position": [1, 1], "step": 134, "ordinal_position": 135}, {"identifier": "G60", "position": [1, 2], "step": 135, "ordinal_position": 136}, {"identifier": "Z24", "position": [1, 3], "step": 136, "ordinal_position": 137}, {"identifier": "E34", "position": [1, 4], "step": 137, "ordinal_position": 138}, {"identifier": "C00", "position": [1, 5], "step": 138, "ordinal_position": 139}, {"identifier": "O36", "position": [1, 6], "step": 139, "ordinal_position": 140}, {"identifier": "V20", "position": [1, 7], "step": 140, "ordinal_position": 141}, {"identifier": "U65", "position": [1, 8], "step": 141, "ordinal_position": 142}, {"identifier": "N29", "position": [1, 9], "step": 142, "ordinal_position": 143}, {"identifier": "X25", "position": [2, 9], "step": 143, "ordinal_position": 144}, {"identifier": "G80", "position": [3, 9], "step": 144, "ordinal_position": 145}, {"identifier": "U96", "position": [4, 9], "step": 145, "ordinal_position": 146}, {"identifier": "Q65", "position": [5, 9], "step": 146, "ordinal_position": 147}, {"identifier": "K98", "position": [5, 8], "step": 147, "ordinal_position": 148}, {"identifier": "Z22", "position": [5, 7], "step": 148, "ordinal_position": 149}, {"identifier": "O49", "position": [6, 7], "step": 149, "ordinal_position": 150}, {"identifier": "P01", "position": [7, 7], "step": 150, "ordinal_position": 151}, {"identifier": "C40", "position": [7, 8], "step": 151, "ordinal_position": 152}, {"identifier": "J08", "position": [7, 9], "step": 152, "ordinal_position": 153}, {"identifier": "L18", "position": [8, 9], "step": 153, "ordinal_position": 154}, {"identifier": "K23", "position": [9, 9], "step": 154, "ordinal_position": 155}, {"identifier": "D08", "position": [9, 8], "step": 155, "ordinal_position": 156}, {"identifier": "A34", "position": [9, 7], "step": 156, "ordinal_position": 157}, {"identifier": "M77", "position": [9, 6], "step": 157, "ordinal_position": 158}, {"identifier": "S25", "position": [9, 5], "step": 158, "ordinal_position": 159}, {"identifier": "L43", "position": [9, 4], "step": 159, "ordinal_position": 160}, {"identifier": "S62", "position": [9, 3], "step": 160, "ordinal_position": 161}, {"identifier": "M67", "position": [9, 2], "step": 161, "ordinal_position": 162}, {"identifier": "U51", "position": [9, 1], "step": 162, "ordinal_position": 163}, {"identifier": "W83", "position": [8, 1], "step": 163, "ordinal_position": 164}, {"identifier": "V72", "position": [7, 1], "step": 164, "ordinal_position": 165}, {"identifier": "Y23", "position": [6, 1], "step": 165, "ordinal_position": 166}, {"identifier": "S89", "position": [5, 1], "step": 166, "ordinal_position": 167}, {"identifier": "J28", "position": [4, 1], "step": 167, "ordinal_position": 168}, {"identifier": "Z52", "position": [3, 1], "step": 168, "ordinal_position": 169}, {"identifier": "X02", "position": [2, 1], "step": 169, "ordinal_position": 170}, {"identifier": "M42", "position": [1, 1], "step": 170, "ordinal_position": 171}, {"identifier": "G60", "position": [1, 2], "step": 171, "ordinal_position": 172}, {"identifier": "Z24", "position": [1, 3], "step": 172, "ordinal_position": 173}, {"identifier": "E34", "position": [1, 4], "step": 173, "ordinal_position": 174}, {"identifier": "C00", "position": [1, 5], "step": 174, "ordinal_position": 175}, {"identifier": "O36", "position": [1, 6], "step": 175, "ordinal_position": 176}, {"identifier": "V20", "position": [1, 7], "step": 176, "ordinal_position": 177}, {"identifier": "U65", "position": [1, 8], "step": 177, "ordinal_position": 178}, {"identifier": "N29", "position": [1, 9], "step": 178, "ordinal_position": 179}, {"identifier": "X25", "position": [2, 9], "step": 179, "ordinal_position": 180}, {"identifier": "G80", "position": [3, 9], "step": 180, "ordinal_position": 181}, {"identifier": "U96", "position": [4, 9], "step": 181, "ordinal_position": 182}, {"identifier": "Q65", "position": [5, 9], "step": 182, "ordinal_position": 183}, {"identifier": "K98", "position": [5, 8], "step": 183, "ordinal_position": 184}, {"identifier": "Z22", "position": [5, 7], "step": 184, "ordinal_position": 185}, {"identifier": "O49", "position": [6, 7], "step": 185, "ordinal_position": 186}, {"identifier": "P01", "position": [7, 7], "step": 186, "ordinal_position": 187}, {"identifier": "C40", "position": [7, 8], "step": 187, "ordinal_position": 188}, {"identifier": "J08", "position": [7, 9], "step": 188, "ordinal_position": 189}, {"identifier": "L18", "position": [8, 9], "step": 189, "ordinal_position": 190}, {"identifier": "K23", "position": [9, 9], "step": 190, "ordinal_position": 191}, {"identifier": "D08", "position": [9, 8], "step": 191, "ordinal_position": 192}, {"identifier": "A34", "position": [9, 7], "step": 192, "ordinal_position": 193}, {"identifier": "M77", "position": [9, 6], "step": 193, "ordinal_position": 194}, {"identifier": "S25", "position": [9, 5], "step": 194, "ordinal_position": 195}, {"identifier": "L43", "position": [9, 4], "step": 195, "ordinal_position": 196}, {"identifier": "S62", "position": [9, 3], "step": 196, "ordinal_position": 197}, {"identifier": "M67", "position": [9, 2], "step": 197, "ordinal_position": 198}, {"identifier": "U51", "position": [9, 1], "step": 198, "ordinal_position": 199}, {"identifier": "W83", "position": [8, 1], "step": 199, "ordinal_position": 200}, {"identifier": "V72", "position": [7, 1], "step": 200, "ordinal_position": 201}, {"identifier": "Y23", "position": [6, 1], "step": 201, "ordinal_position": 202}, {"identifier": "S89", "position": [5, 1], "step": 202, "ordinal_position": 203}, {"identifier": "J28", "position": [4, 1], "step": 203, "ordinal_position": 204}, {"identifier": "Z52", "position": [3, 1], "step": 204, "ordinal_position": 205}, {"identifier": "X02", "position": [2, 1], "step": 205, "ordinal_position": 206}, {"identifier": "M42", "position": [1, 1], "step": 206, "ordinal_position": 207}, {"identifier": "G60", "position": [1, 2], "step": 207, "ordinal_position": 208}, {"identifier": "Z24", "position": [1, 3], "step": 208, "ordinal_position": 209}, {"identifier": "E34", "position": [1, 4], "step": 209, "ordinal_position": 210}, {"identifier": "C00", "position": [1, 5], "step": 210, "ordinal_position": 211}, {"identifier": "O36", "position": [1, 6], "step": 211, "ordinal_position": 212}, {"identifier": "V20", "position": [1, 7], "step": 212, "ordinal_position": 213}, {"identifier": "U65", "position": [1, 8], "step": 213, "ordinal_position": 214}, {"identifier": "N29", "position": [1, 9], "step": 214, "ordinal_position": 215}, {"identifier": "X25", "position": [2, 9], "step": 215, "ordinal_position": 216}, {"identifier": "G80", "position": [3, 9], "step": 216, "ordinal_position": 217}, {"identifier": "U96", "position": [4, 9], "step": 217, "ordinal_position": 218}, {"identifier": "Q65", "position": [5, 9], "step": 218, "ordinal_position": 219}, {"identifier": "K98", "position": [5, 8], "step": 219, "ordinal_position": 220}, {"identifier": "Z22", "position": [5, 7], "step": 220, "ordinal_position": 221}, {"identifier": "O49", "position": [6, 7], "step": 221, "ordinal_position": 222}, {"identifier": "P01", "position": [7, 7], "step": 222, "ordinal_position": 223}, {"identifier": "C40", "position": [7, 8], "step": 223, "ordinal_position": 224}, {"identifier": "J08", "position": [7, 9], "step": 224, "ordinal_position": 225}, {"identifier": "L18", "position": [8, 9], "step": 225, "ordinal_position": 226}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 226, "direction": "right", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_002.json"}} {"qa_id": "54fd7b553fd94d13b334e2ce9c521f32", "image_id": "L3-MazeLoop-test_11x11_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U96, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 300th position in this traversal?", "start_object_id": "U96", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [300], "ordinal_strings": ["300th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "A34", "traversal_path": [{"identifier": "U96", "position": [4, 9], "step": 0, "ordinal_position": 1}, {"identifier": "Q65", "position": [5, 9], "step": 1, "ordinal_position": 2}, {"identifier": "K98", "position": [5, 8], "step": 2, "ordinal_position": 3}, {"identifier": "Z22", "position": [5, 7], "step": 3, "ordinal_position": 4}, {"identifier": "O49", "position": [6, 7], "step": 4, "ordinal_position": 5}, {"identifier": "P01", "position": [7, 7], "step": 5, "ordinal_position": 6}, {"identifier": "C40", "position": [7, 8], "step": 6, "ordinal_position": 7}, {"identifier": "J08", "position": [7, 9], "step": 7, "ordinal_position": 8}, {"identifier": "L18", "position": [8, 9], "step": 8, "ordinal_position": 9}, {"identifier": "K23", "position": [9, 9], "step": 9, "ordinal_position": 10}, {"identifier": "D08", "position": [9, 8], "step": 10, "ordinal_position": 11}, {"identifier": "A34", "position": [9, 7], "step": 11, "ordinal_position": 12}, {"identifier": "M77", "position": [9, 6], "step": 12, "ordinal_position": 13}, {"identifier": "S25", "position": [9, 5], "step": 13, "ordinal_position": 14}, {"identifier": "L43", "position": [9, 4], "step": 14, "ordinal_position": 15}, {"identifier": "S62", "position": [9, 3], "step": 15, "ordinal_position": 16}, {"identifier": "M67", "position": [9, 2], "step": 16, "ordinal_position": 17}, {"identifier": "U51", "position": [9, 1], "step": 17, "ordinal_position": 18}, {"identifier": "W83", "position": [8, 1], "step": 18, "ordinal_position": 19}, {"identifier": "V72", "position": [7, 1], "step": 19, "ordinal_position": 20}, {"identifier": "Y23", "position": [6, 1], "step": 20, "ordinal_position": 21}, {"identifier": "S89", "position": [5, 1], "step": 21, "ordinal_position": 22}, {"identifier": "J28", "position": [4, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Z52", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "X02", "position": [2, 1], "step": 24, "ordinal_position": 25}, {"identifier": "M42", "position": [1, 1], "step": 25, "ordinal_position": 26}, {"identifier": "G60", "position": [1, 2], "step": 26, "ordinal_position": 27}, {"identifier": "Z24", "position": [1, 3], "step": 27, "ordinal_position": 28}, {"identifier": "E34", "position": [1, 4], "step": 28, "ordinal_position": 29}, {"identifier": "C00", "position": [1, 5], "step": 29, "ordinal_position": 30}, {"identifier": "O36", "position": [1, 6], "step": 30, "ordinal_position": 31}, {"identifier": "V20", "position": [1, 7], "step": 31, "ordinal_position": 32}, {"identifier": "U65", "position": [1, 8], "step": 32, "ordinal_position": 33}, {"identifier": "N29", "position": [1, 9], "step": 33, "ordinal_position": 34}, {"identifier": "X25", "position": [2, 9], "step": 34, "ordinal_position": 35}, {"identifier": "G80", "position": [3, 9], "step": 35, "ordinal_position": 36}, {"identifier": "U96", "position": [4, 9], "step": 36, "ordinal_position": 37}, {"identifier": "Q65", "position": [5, 9], "step": 37, "ordinal_position": 38}, {"identifier": "K98", "position": [5, 8], "step": 38, "ordinal_position": 39}, {"identifier": "Z22", "position": [5, 7], "step": 39, "ordinal_position": 40}, {"identifier": "O49", "position": [6, 7], "step": 40, "ordinal_position": 41}, {"identifier": "P01", "position": [7, 7], "step": 41, "ordinal_position": 42}, {"identifier": "C40", "position": [7, 8], "step": 42, "ordinal_position": 43}, {"identifier": "J08", "position": [7, 9], "step": 43, "ordinal_position": 44}, {"identifier": "L18", "position": [8, 9], "step": 44, "ordinal_position": 45}, {"identifier": "K23", "position": [9, 9], "step": 45, "ordinal_position": 46}, {"identifier": "D08", "position": [9, 8], "step": 46, "ordinal_position": 47}, {"identifier": "A34", "position": [9, 7], "step": 47, "ordinal_position": 48}, {"identifier": "M77", "position": [9, 6], "step": 48, "ordinal_position": 49}, {"identifier": "S25", "position": [9, 5], "step": 49, "ordinal_position": 50}, {"identifier": "L43", "position": [9, 4], "step": 50, "ordinal_position": 51}, {"identifier": "S62", "position": [9, 3], "step": 51, "ordinal_position": 52}, {"identifier": "M67", "position": [9, 2], "step": 52, "ordinal_position": 53}, {"identifier": "U51", "position": [9, 1], "step": 53, "ordinal_position": 54}, {"identifier": "W83", "position": [8, 1], "step": 54, "ordinal_position": 55}, {"identifier": "V72", "position": [7, 1], "step": 55, "ordinal_position": 56}, {"identifier": "Y23", "position": [6, 1], "step": 56, "ordinal_position": 57}, {"identifier": "S89", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "J28", "position": [4, 1], "step": 58, "ordinal_position": 59}, {"identifier": "Z52", "position": [3, 1], "step": 59, "ordinal_position": 60}, {"identifier": "X02", "position": [2, 1], "step": 60, "ordinal_position": 61}, {"identifier": "M42", "position": [1, 1], "step": 61, "ordinal_position": 62}, {"identifier": "G60", "position": [1, 2], "step": 62, "ordinal_position": 63}, {"identifier": "Z24", "position": [1, 3], "step": 63, "ordinal_position": 64}, {"identifier": "E34", "position": [1, 4], "step": 64, "ordinal_position": 65}, {"identifier": "C00", "position": [1, 5], "step": 65, "ordinal_position": 66}, {"identifier": "O36", "position": [1, 6], "step": 66, "ordinal_position": 67}, {"identifier": "V20", "position": [1, 7], "step": 67, "ordinal_position": 68}, {"identifier": "U65", "position": [1, 8], "step": 68, "ordinal_position": 69}, {"identifier": "N29", "position": [1, 9], "step": 69, "ordinal_position": 70}, {"identifier": "X25", "position": [2, 9], "step": 70, "ordinal_position": 71}, {"identifier": "G80", "position": [3, 9], "step": 71, "ordinal_position": 72}, {"identifier": "U96", "position": [4, 9], "step": 72, "ordinal_position": 73}, {"identifier": "Q65", "position": [5, 9], "step": 73, "ordinal_position": 74}, {"identifier": "K98", "position": [5, 8], "step": 74, "ordinal_position": 75}, {"identifier": "Z22", "position": [5, 7], "step": 75, "ordinal_position": 76}, {"identifier": "O49", "position": [6, 7], "step": 76, "ordinal_position": 77}, {"identifier": "P01", "position": [7, 7], "step": 77, "ordinal_position": 78}, {"identifier": "C40", "position": [7, 8], "step": 78, "ordinal_position": 79}, {"identifier": "J08", "position": [7, 9], "step": 79, "ordinal_position": 80}, {"identifier": "L18", "position": [8, 9], "step": 80, "ordinal_position": 81}, {"identifier": "K23", "position": [9, 9], "step": 81, "ordinal_position": 82}, {"identifier": "D08", "position": [9, 8], "step": 82, "ordinal_position": 83}, {"identifier": "A34", "position": [9, 7], "step": 83, "ordinal_position": 84}, {"identifier": "M77", "position": [9, 6], "step": 84, "ordinal_position": 85}, {"identifier": "S25", "position": [9, 5], "step": 85, "ordinal_position": 86}, {"identifier": "L43", "position": [9, 4], "step": 86, "ordinal_position": 87}, {"identifier": "S62", "position": [9, 3], "step": 87, "ordinal_position": 88}, {"identifier": "M67", "position": [9, 2], "step": 88, "ordinal_position": 89}, {"identifier": "U51", "position": [9, 1], "step": 89, "ordinal_position": 90}, {"identifier": "W83", "position": [8, 1], "step": 90, "ordinal_position": 91}, {"identifier": "V72", "position": [7, 1], "step": 91, "ordinal_position": 92}, {"identifier": "Y23", "position": [6, 1], "step": 92, "ordinal_position": 93}, {"identifier": "S89", "position": [5, 1], "step": 93, "ordinal_position": 94}, {"identifier": "J28", "position": [4, 1], "step": 94, "ordinal_position": 95}, {"identifier": "Z52", "position": [3, 1], "step": 95, "ordinal_position": 96}, {"identifier": "X02", "position": [2, 1], "step": 96, "ordinal_position": 97}, {"identifier": "M42", "position": [1, 1], "step": 97, "ordinal_position": 98}, {"identifier": "G60", "position": [1, 2], "step": 98, "ordinal_position": 99}, {"identifier": "Z24", "position": [1, 3], "step": 99, "ordinal_position": 100}, {"identifier": "E34", "position": [1, 4], "step": 100, "ordinal_position": 101}, {"identifier": "C00", "position": [1, 5], "step": 101, "ordinal_position": 102}, {"identifier": "O36", "position": [1, 6], "step": 102, "ordinal_position": 103}, {"identifier": "V20", "position": [1, 7], "step": 103, "ordinal_position": 104}, {"identifier": "U65", "position": [1, 8], "step": 104, "ordinal_position": 105}, {"identifier": "N29", "position": [1, 9], "step": 105, "ordinal_position": 106}, {"identifier": "X25", "position": [2, 9], "step": 106, "ordinal_position": 107}, {"identifier": "G80", "position": [3, 9], "step": 107, "ordinal_position": 108}, {"identifier": "U96", "position": [4, 9], "step": 108, "ordinal_position": 109}, {"identifier": "Q65", "position": [5, 9], "step": 109, "ordinal_position": 110}, {"identifier": "K98", "position": [5, 8], "step": 110, "ordinal_position": 111}, {"identifier": "Z22", "position": [5, 7], "step": 111, "ordinal_position": 112}, {"identifier": "O49", "position": [6, 7], "step": 112, "ordinal_position": 113}, {"identifier": "P01", "position": [7, 7], "step": 113, "ordinal_position": 114}, {"identifier": "C40", "position": [7, 8], "step": 114, "ordinal_position": 115}, {"identifier": "J08", "position": [7, 9], "step": 115, "ordinal_position": 116}, {"identifier": "L18", "position": [8, 9], "step": 116, "ordinal_position": 117}, {"identifier": "K23", "position": [9, 9], "step": 117, "ordinal_position": 118}, {"identifier": "D08", "position": [9, 8], "step": 118, "ordinal_position": 119}, {"identifier": "A34", "position": [9, 7], "step": 119, "ordinal_position": 120}, {"identifier": "M77", "position": [9, 6], "step": 120, "ordinal_position": 121}, {"identifier": "S25", "position": [9, 5], "step": 121, "ordinal_position": 122}, {"identifier": "L43", "position": [9, 4], "step": 122, "ordinal_position": 123}, {"identifier": "S62", "position": [9, 3], "step": 123, "ordinal_position": 124}, {"identifier": "M67", "position": [9, 2], "step": 124, "ordinal_position": 125}, {"identifier": "U51", "position": [9, 1], "step": 125, "ordinal_position": 126}, {"identifier": "W83", "position": [8, 1], "step": 126, "ordinal_position": 127}, {"identifier": "V72", "position": [7, 1], "step": 127, "ordinal_position": 128}, {"identifier": "Y23", "position": [6, 1], "step": 128, "ordinal_position": 129}, {"identifier": "S89", "position": [5, 1], "step": 129, "ordinal_position": 130}, {"identifier": "J28", "position": [4, 1], "step": 130, "ordinal_position": 131}, {"identifier": "Z52", "position": [3, 1], "step": 131, "ordinal_position": 132}, {"identifier": "X02", "position": [2, 1], "step": 132, "ordinal_position": 133}, {"identifier": "M42", "position": [1, 1], "step": 133, "ordinal_position": 134}, {"identifier": "G60", "position": [1, 2], "step": 134, "ordinal_position": 135}, {"identifier": "Z24", 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147, "ordinal_position": 148}, {"identifier": "O49", "position": [6, 7], "step": 148, "ordinal_position": 149}, {"identifier": "P01", "position": [7, 7], "step": 149, "ordinal_position": 150}, {"identifier": "C40", "position": [7, 8], "step": 150, "ordinal_position": 151}, {"identifier": "J08", "position": [7, 9], "step": 151, "ordinal_position": 152}, {"identifier": "L18", "position": [8, 9], "step": 152, "ordinal_position": 153}, {"identifier": "K23", "position": [9, 9], "step": 153, "ordinal_position": 154}, {"identifier": "D08", "position": [9, 8], "step": 154, "ordinal_position": 155}, {"identifier": "A34", "position": [9, 7], "step": 155, "ordinal_position": 156}, {"identifier": "M77", "position": [9, 6], "step": 156, "ordinal_position": 157}, {"identifier": "S25", "position": [9, 5], "step": 157, "ordinal_position": 158}, {"identifier": "L43", "position": [9, 4], "step": 158, "ordinal_position": 159}, {"identifier": "S62", "position": [9, 3], "step": 159, "ordinal_position": 160}, {"identifier": "M67", "position": [9, 2], "step": 160, "ordinal_position": 161}, {"identifier": "U51", "position": [9, 1], "step": 161, "ordinal_position": 162}, {"identifier": "W83", "position": [8, 1], "step": 162, "ordinal_position": 163}, {"identifier": "V72", "position": [7, 1], "step": 163, "ordinal_position": 164}, {"identifier": "Y23", "position": [6, 1], "step": 164, "ordinal_position": 165}, {"identifier": "S89", "position": [5, 1], "step": 165, "ordinal_position": 166}, {"identifier": "J28", "position": [4, 1], "step": 166, "ordinal_position": 167}, {"identifier": "Z52", "position": [3, 1], "step": 167, "ordinal_position": 168}, {"identifier": "X02", "position": [2, 1], "step": 168, "ordinal_position": 169}, {"identifier": "M42", "position": [1, 1], "step": 169, "ordinal_position": 170}, {"identifier": "G60", "position": [1, 2], "step": 170, "ordinal_position": 171}, {"identifier": "Z24", "position": [1, 3], "step": 171, "ordinal_position": 172}, {"identifier": "E34", "position": [1, 4], "step": 172, "ordinal_position": 173}, {"identifier": "C00", "position": [1, 5], "step": 173, "ordinal_position": 174}, {"identifier": "O36", "position": [1, 6], "step": 174, "ordinal_position": 175}, {"identifier": "V20", "position": [1, 7], "step": 175, "ordinal_position": 176}, {"identifier": "U65", "position": [1, 8], "step": 176, "ordinal_position": 177}, {"identifier": "N29", "position": [1, 9], "step": 177, "ordinal_position": 178}, {"identifier": "X25", "position": [2, 9], "step": 178, "ordinal_position": 179}, {"identifier": "G80", "position": [3, 9], "step": 179, "ordinal_position": 180}, {"identifier": "U96", "position": [4, 9], "step": 180, "ordinal_position": 181}, {"identifier": "Q65", "position": [5, 9], "step": 181, "ordinal_position": 182}, {"identifier": "K98", "position": [5, 8], "step": 182, "ordinal_position": 183}, {"identifier": "Z22", "position": [5, 7], "step": 183, "ordinal_position": 184}, {"identifier": "O49", "position": [6, 7], "step": 184, "ordinal_position": 185}, {"identifier": "P01", "position": [7, 7], "step": 185, "ordinal_position": 186}, {"identifier": "C40", "position": [7, 8], "step": 186, "ordinal_position": 187}, {"identifier": "J08", "position": [7, 9], "step": 187, "ordinal_position": 188}, {"identifier": "L18", "position": [8, 9], "step": 188, "ordinal_position": 189}, {"identifier": "K23", "position": [9, 9], "step": 189, "ordinal_position": 190}, {"identifier": "D08", "position": [9, 8], "step": 190, "ordinal_position": 191}, {"identifier": "A34", "position": [9, 7], "step": 191, "ordinal_position": 192}, {"identifier": "M77", "position": [9, 6], "step": 192, "ordinal_position": 193}, {"identifier": "S25", "position": [9, 5], "step": 193, "ordinal_position": 194}, {"identifier": "L43", "position": [9, 4], "step": 194, "ordinal_position": 195}, {"identifier": "S62", "position": [9, 3], "step": 195, "ordinal_position": 196}, {"identifier": "M67", "position": [9, 2], "step": 196, "ordinal_position": 197}, {"identifier": "U51", "position": [9, 1], "step": 197, "ordinal_position": 198}, {"identifier": "W83", "position": [8, 1], "step": 198, "ordinal_position": 199}, {"identifier": "V72", "position": [7, 1], "step": 199, "ordinal_position": 200}, {"identifier": "Y23", "position": [6, 1], "step": 200, "ordinal_position": 201}, {"identifier": "S89", "position": [5, 1], "step": 201, "ordinal_position": 202}, {"identifier": "J28", "position": [4, 1], "step": 202, "ordinal_position": 203}, {"identifier": "Z52", "position": [3, 1], "step": 203, "ordinal_position": 204}, {"identifier": "X02", "position": [2, 1], "step": 204, "ordinal_position": 205}, {"identifier": "M42", "position": [1, 1], "step": 205, "ordinal_position": 206}, {"identifier": "G60", "position": [1, 2], "step": 206, "ordinal_position": 207}, {"identifier": "Z24", "position": [1, 3], "step": 207, "ordinal_position": 208}, {"identifier": "E34", "position": [1, 4], "step": 208, "ordinal_position": 209}, {"identifier": "C00", "position": [1, 5], "step": 209, "ordinal_position": 210}, {"identifier": "O36", "position": [1, 6], "step": 210, "ordinal_position": 211}, {"identifier": "V20", "position": [1, 7], "step": 211, "ordinal_position": 212}, {"identifier": "U65", "position": [1, 8], "step": 212, "ordinal_position": 213}, {"identifier": "N29", "position": [1, 9], "step": 213, "ordinal_position": 214}, {"identifier": "X25", "position": [2, 9], "step": 214, "ordinal_position": 215}, {"identifier": "G80", "position": [3, 9], "step": 215, "ordinal_position": 216}, {"identifier": "U96", "position": [4, 9], "step": 216, "ordinal_position": 217}, {"identifier": "Q65", "position": [5, 9], "step": 217, "ordinal_position": 218}, {"identifier": "K98", "position": [5, 8], "step": 218, "ordinal_position": 219}, {"identifier": "Z22", "position": [5, 7], "step": 219, "ordinal_position": 220}, {"identifier": "O49", "position": [6, 7], "step": 220, "ordinal_position": 221}, {"identifier": "P01", "position": [7, 7], "step": 221, "ordinal_position": 222}, {"identifier": "C40", "position": [7, 8], "step": 222, "ordinal_position": 223}, {"identifier": "J08", "position": [7, 9], "step": 223, "ordinal_position": 224}, {"identifier": "L18", "position": [8, 9], "step": 224, "ordinal_position": 225}, {"identifier": "K23", "position": [9, 9], "step": 225, "ordinal_position": 226}, {"identifier": "D08", "position": [9, 8], "step": 226, "ordinal_position": 227}, {"identifier": "A34", "position": [9, 7], "step": 227, "ordinal_position": 228}, {"identifier": "M77", "position": [9, 6], "step": 228, "ordinal_position": 229}, {"identifier": "S25", "position": [9, 5], "step": 229, "ordinal_position": 230}, {"identifier": "L43", "position": [9, 4], "step": 230, "ordinal_position": 231}, {"identifier": "S62", "position": [9, 3], "step": 231, "ordinal_position": 232}, {"identifier": "M67", "position": [9, 2], "step": 232, "ordinal_position": 233}, {"identifier": "U51", "position": [9, 1], "step": 233, "ordinal_position": 234}, {"identifier": "W83", "position": [8, 1], "step": 234, "ordinal_position": 235}, {"identifier": "V72", "position": [7, 1], "step": 235, "ordinal_position": 236}, {"identifier": "Y23", "position": [6, 1], "step": 236, "ordinal_position": 237}, {"identifier": "S89", "position": [5, 1], "step": 237, "ordinal_position": 238}, {"identifier": "J28", "position": [4, 1], "step": 238, "ordinal_position": 239}, {"identifier": "Z52", "position": [3, 1], "step": 239, "ordinal_position": 240}, {"identifier": "X02", "position": [2, 1], "step": 240, "ordinal_position": 241}, {"identifier": "M42", "position": [1, 1], "step": 241, "ordinal_position": 242}, {"identifier": "G60", "position": [1, 2], "step": 242, "ordinal_position": 243}, {"identifier": "Z24", "position": [1, 3], "step": 243, "ordinal_position": 244}, {"identifier": "E34", "position": [1, 4], "step": 244, "ordinal_position": 245}, {"identifier": "C00", "position": [1, 5], "step": 245, "ordinal_position": 246}, {"identifier": "O36", "position": [1, 6], "step": 246, "ordinal_position": 247}, {"identifier": "V20", "position": [1, 7], "step": 247, "ordinal_position": 248}, {"identifier": "U65", "position": [1, 8], "step": 248, "ordinal_position": 249}, {"identifier": "N29", "position": [1, 9], "step": 249, "ordinal_position": 250}, {"identifier": "X25", "position": [2, 9], "step": 250, "ordinal_position": 251}, {"identifier": "G80", "position": [3, 9], "step": 251, "ordinal_position": 252}, {"identifier": "U96", "position": [4, 9], "step": 252, "ordinal_position": 253}, {"identifier": "Q65", "position": [5, 9], "step": 253, "ordinal_position": 254}, {"identifier": "K98", "position": [5, 8], "step": 254, "ordinal_position": 255}, {"identifier": "Z22", "position": [5, 7], "step": 255, "ordinal_position": 256}, {"identifier": "O49", "position": [6, 7], "step": 256, "ordinal_position": 257}, {"identifier": "P01", "position": [7, 7], "step": 257, "ordinal_position": 258}, {"identifier": "C40", "position": [7, 8], "step": 258, "ordinal_position": 259}, {"identifier": "J08", "position": [7, 9], "step": 259, "ordinal_position": 260}, {"identifier": "L18", "position": [8, 9], "step": 260, "ordinal_position": 261}, {"identifier": "K23", "position": [9, 9], "step": 261, "ordinal_position": 262}, {"identifier": "D08", "position": [9, 8], "step": 262, "ordinal_position": 263}, {"identifier": "A34", "position": [9, 7], "step": 263, "ordinal_position": 264}, {"identifier": "M77", "position": [9, 6], "step": 264, "ordinal_position": 265}, {"identifier": "S25", "position": [9, 5], "step": 265, "ordinal_position": 266}, {"identifier": "L43", "position": [9, 4], "step": 266, "ordinal_position": 267}, {"identifier": "S62", "position": [9, 3], "step": 267, "ordinal_position": 268}, {"identifier": "M67", "position": [9, 2], "step": 268, "ordinal_position": 269}, {"identifier": "U51", "position": [9, 1], "step": 269, "ordinal_position": 270}, {"identifier": "W83", "position": [8, 1], "step": 270, "ordinal_position": 271}, {"identifier": "V72", "position": [7, 1], "step": 271, "ordinal_position": 272}, {"identifier": "Y23", "position": [6, 1], "step": 272, "ordinal_position": 273}, {"identifier": "S89", "position": [5, 1], "step": 273, "ordinal_position": 274}, {"identifier": "J28", "position": [4, 1], "step": 274, "ordinal_position": 275}, {"identifier": "Z52", "position": [3, 1], "step": 275, "ordinal_position": 276}, {"identifier": "X02", "position": [2, 1], "step": 276, "ordinal_position": 277}, {"identifier": "M42", "position": [1, 1], "step": 277, "ordinal_position": 278}, {"identifier": "G60", "position": [1, 2], "step": 278, "ordinal_position": 279}, {"identifier": "Z24", "position": [1, 3], "step": 279, "ordinal_position": 280}, {"identifier": "E34", "position": [1, 4], "step": 280, "ordinal_position": 281}, {"identifier": "C00", "position": [1, 5], "step": 281, "ordinal_position": 282}, {"identifier": "O36", "position": [1, 6], "step": 282, "ordinal_position": 283}, {"identifier": "V20", "position": [1, 7], "step": 283, "ordinal_position": 284}, {"identifier": "U65", "position": [1, 8], "step": 284, "ordinal_position": 285}, {"identifier": "N29", "position": [1, 9], "step": 285, "ordinal_position": 286}, {"identifier": "X25", "position": [2, 9], "step": 286, "ordinal_position": 287}, {"identifier": "G80", "position": [3, 9], "step": 287, "ordinal_position": 288}, {"identifier": "U96", "position": [4, 9], "step": 288, "ordinal_position": 289}, {"identifier": "Q65", "position": [5, 9], "step": 289, "ordinal_position": 290}, {"identifier": "K98", "position": [5, 8], "step": 290, "ordinal_position": 291}, {"identifier": "Z22", "position": [5, 7], "step": 291, "ordinal_position": 292}, {"identifier": "O49", "position": [6, 7], "step": 292, "ordinal_position": 293}, {"identifier": "P01", "position": [7, 7], "step": 293, "ordinal_position": 294}, {"identifier": "C40", "position": [7, 8], "step": 294, "ordinal_position": 295}, {"identifier": "J08", "position": [7, 9], "step": 295, "ordinal_position": 296}, {"identifier": "L18", "position": [8, 9], "step": 296, "ordinal_position": 297}, {"identifier": "K23", "position": [9, 9], "step": 297, "ordinal_position": 298}, {"identifier": "D08", "position": [9, 8], "step": 298, "ordinal_position": 299}, {"identifier": "A34", "position": [9, 7], "step": 299, "ordinal_position": 300}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 300, "direction": "right", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_002.json"}} {"qa_id": "6476d75e3f084803b3f341d60ffa661c", "image_id": "L3-MazeLoop-test_11x11_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G60, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 114th position in this traversal?", "start_object_id": "G60", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [114], "ordinal_strings": ["114th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "V20", "traversal_path": [{"identifier": "G60", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "Z24", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "E34", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "C00", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "O36", "position": [1, 6], "step": 4, "ordinal_position": 5}, {"identifier": "V20", "position": [1, 7], "step": 5, "ordinal_position": 6}, {"identifier": "U65", "position": [1, 8], "step": 6, "ordinal_position": 7}, {"identifier": "N29", "position": [1, 9], "step": 7, "ordinal_position": 8}, {"identifier": "X25", "position": [2, 9], "step": 8, "ordinal_position": 9}, {"identifier": "G80", "position": [3, 9], "step": 9, "ordinal_position": 10}, {"identifier": "U96", "position": [4, 9], "step": 10, "ordinal_position": 11}, {"identifier": "Q65", "position": [5, 9], "step": 11, "ordinal_position": 12}, {"identifier": "K98", "position": [5, 8], "step": 12, "ordinal_position": 13}, {"identifier": "Z22", "position": [5, 7], "step": 13, "ordinal_position": 14}, {"identifier": "O49", "position": [6, 7], "step": 14, "ordinal_position": 15}, {"identifier": "P01", "position": [7, 7], "step": 15, "ordinal_position": 16}, {"identifier": "C40", "position": [7, 8], "step": 16, "ordinal_position": 17}, {"identifier": "J08", "position": [7, 9], "step": 17, "ordinal_position": 18}, {"identifier": "L18", "position": [8, 9], "step": 18, "ordinal_position": 19}, {"identifier": "K23", "position": [9, 9], "step": 19, "ordinal_position": 20}, {"identifier": "D08", "position": [9, 8], "step": 20, "ordinal_position": 21}, {"identifier": "A34", "position": [9, 7], "step": 21, "ordinal_position": 22}, {"identifier": "M77", "position": [9, 6], "step": 22, "ordinal_position": 23}, {"identifier": "S25", "position": [9, 5], "step": 23, "ordinal_position": 24}, {"identifier": "L43", "position": [9, 4], "step": 24, "ordinal_position": 25}, {"identifier": "S62", "position": [9, 3], "step": 25, "ordinal_position": 26}, {"identifier": "M67", "position": [9, 2], "step": 26, "ordinal_position": 27}, {"identifier": "U51", "position": [9, 1], "step": 27, "ordinal_position": 28}, {"identifier": "W83", "position": [8, 1], "step": 28, "ordinal_position": 29}, {"identifier": "V72", "position": [7, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Y23", "position": [6, 1], "step": 30, "ordinal_position": 31}, {"identifier": "S89", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "J28", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "Z52", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "X02", "position": [2, 1], "step": 34, "ordinal_position": 35}, {"identifier": "M42", "position": [1, 1], "step": 35, "ordinal_position": 36}, {"identifier": "G60", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "Z24", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "E34", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "C00", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "O36", "position": [1, 6], "step": 40, "ordinal_position": 41}, {"identifier": "V20", "position": [1, 7], "step": 41, "ordinal_position": 42}, {"identifier": "U65", "position": [1, 8], "step": 42, "ordinal_position": 43}, {"identifier": "N29", "position": [1, 9], "step": 43, "ordinal_position": 44}, {"identifier": "X25", "position": [2, 9], "step": 44, "ordinal_position": 45}, {"identifier": "G80", "position": [3, 9], "step": 45, "ordinal_position": 46}, {"identifier": "U96", "position": [4, 9], "step": 46, "ordinal_position": 47}, {"identifier": "Q65", "position": [5, 9], "step": 47, "ordinal_position": 48}, {"identifier": "K98", "position": [5, 8], "step": 48, "ordinal_position": 49}, {"identifier": "Z22", "position": [5, 7], "step": 49, "ordinal_position": 50}, {"identifier": "O49", "position": [6, 7], "step": 50, "ordinal_position": 51}, {"identifier": "P01", "position": [7, 7], "step": 51, "ordinal_position": 52}, {"identifier": "C40", "position": [7, 8], "step": 52, "ordinal_position": 53}, {"identifier": "J08", "position": [7, 9], "step": 53, "ordinal_position": 54}, {"identifier": "L18", "position": [8, 9], "step": 54, "ordinal_position": 55}, {"identifier": "K23", "position": [9, 9], "step": 55, "ordinal_position": 56}, {"identifier": "D08", "position": [9, 8], "step": 56, "ordinal_position": 57}, {"identifier": "A34", "position": [9, 7], "step": 57, "ordinal_position": 58}, {"identifier": "M77", "position": [9, 6], "step": 58, "ordinal_position": 59}, {"identifier": "S25", "position": [9, 5], "step": 59, "ordinal_position": 60}, {"identifier": "L43", "position": [9, 4], "step": 60, "ordinal_position": 61}, {"identifier": "S62", "position": [9, 3], "step": 61, "ordinal_position": 62}, {"identifier": "M67", "position": [9, 2], "step": 62, "ordinal_position": 63}, {"identifier": "U51", "position": [9, 1], "step": 63, "ordinal_position": 64}, {"identifier": "W83", "position": [8, 1], "step": 64, "ordinal_position": 65}, {"identifier": "V72", "position": [7, 1], "step": 65, "ordinal_position": 66}, {"identifier": "Y23", "position": [6, 1], "step": 66, "ordinal_position": 67}, {"identifier": "S89", "position": [5, 1], "step": 67, "ordinal_position": 68}, {"identifier": "J28", "position": [4, 1], "step": 68, "ordinal_position": 69}, {"identifier": "Z52", "position": [3, 1], "step": 69, "ordinal_position": 70}, {"identifier": "X02", "position": [2, 1], "step": 70, "ordinal_position": 71}, {"identifier": "M42", "position": [1, 1], "step": 71, "ordinal_position": 72}, {"identifier": "G60", "position": [1, 2], "step": 72, "ordinal_position": 73}, {"identifier": "Z24", "position": [1, 3], "step": 73, "ordinal_position": 74}, {"identifier": "E34", "position": [1, 4], "step": 74, "ordinal_position": 75}, {"identifier": "C00", "position": [1, 5], "step": 75, "ordinal_position": 76}, {"identifier": "O36", "position": [1, 6], "step": 76, "ordinal_position": 77}, {"identifier": "V20", "position": [1, 7], "step": 77, "ordinal_position": 78}, {"identifier": "U65", "position": [1, 8], "step": 78, "ordinal_position": 79}, {"identifier": "N29", "position": [1, 9], "step": 79, "ordinal_position": 80}, {"identifier": "X25", "position": [2, 9], "step": 80, "ordinal_position": 81}, {"identifier": "G80", "position": [3, 9], "step": 81, "ordinal_position": 82}, {"identifier": "U96", "position": [4, 9], "step": 82, "ordinal_position": 83}, {"identifier": "Q65", "position": [5, 9], "step": 83, "ordinal_position": 84}, {"identifier": "K98", "position": [5, 8], "step": 84, "ordinal_position": 85}, {"identifier": "Z22", "position": [5, 7], "step": 85, "ordinal_position": 86}, {"identifier": "O49", "position": [6, 7], "step": 86, "ordinal_position": 87}, {"identifier": "P01", "position": [7, 7], "step": 87, "ordinal_position": 88}, {"identifier": "C40", "position": [7, 8], "step": 88, "ordinal_position": 89}, {"identifier": "J08", "position": [7, 9], "step": 89, "ordinal_position": 90}, {"identifier": "L18", "position": [8, 9], "step": 90, "ordinal_position": 91}, {"identifier": "K23", "position": [9, 9], "step": 91, "ordinal_position": 92}, {"identifier": "D08", "position": [9, 8], "step": 92, "ordinal_position": 93}, {"identifier": "A34", "position": [9, 7], "step": 93, "ordinal_position": 94}, {"identifier": "M77", "position": [9, 6], "step": 94, "ordinal_position": 95}, {"identifier": "S25", "position": [9, 5], "step": 95, "ordinal_position": 96}, {"identifier": "L43", "position": [9, 4], "step": 96, "ordinal_position": 97}, {"identifier": "S62", "position": [9, 3], "step": 97, "ordinal_position": 98}, {"identifier": "M67", "position": [9, 2], "step": 98, "ordinal_position": 99}, {"identifier": "U51", "position": [9, 1], "step": 99, "ordinal_position": 100}, {"identifier": "W83", "position": [8, 1], "step": 100, "ordinal_position": 101}, {"identifier": "V72", "position": [7, 1], "step": 101, "ordinal_position": 102}, {"identifier": "Y23", "position": [6, 1], "step": 102, "ordinal_position": 103}, {"identifier": "S89", "position": [5, 1], "step": 103, "ordinal_position": 104}, {"identifier": "J28", "position": [4, 1], "step": 104, "ordinal_position": 105}, {"identifier": "Z52", "position": [3, 1], "step": 105, "ordinal_position": 106}, {"identifier": "X02", "position": [2, 1], "step": 106, "ordinal_position": 107}, {"identifier": "M42", "position": [1, 1], "step": 107, "ordinal_position": 108}, {"identifier": "G60", "position": [1, 2], "step": 108, "ordinal_position": 109}, {"identifier": "Z24", "position": [1, 3], "step": 109, "ordinal_position": 110}, {"identifier": "E34", "position": [1, 4], "step": 110, "ordinal_position": 111}, {"identifier": "C00", "position": [1, 5], "step": 111, "ordinal_position": 112}, {"identifier": "O36", "position": [1, 6], "step": 112, "ordinal_position": 113}, {"identifier": "V20", "position": [1, 7], "step": 113, "ordinal_position": 114}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 114, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_002.json"}} {"qa_id": "9b2f4e7c60c74b8f9ae528355e4fd93c", "image_id": "L3-MazeLoop-test_11x11_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G68, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "G68", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "M33", "traversal_path": [{"identifier": "G68", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "R00", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "N55", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "Q81", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "M33", "position": [1, 4], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 5, "direction": "left", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_003.json"}} {"qa_id": "22e458d2db114b42868cd131898bf019", "image_id": "L3-MazeLoop-test_11x11_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N55, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 10th position in this traversal?", "start_object_id": "N55", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [10], "ordinal_strings": ["10th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U77", "traversal_path": [{"identifier": "N55", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "R00", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "G68", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "X42", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Z66", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "B81", "position": [5, 1], "step": 5, "ordinal_position": 6}, {"identifier": "T74", "position": [5, 2], "step": 6, "ordinal_position": 7}, {"identifier": "U70", "position": [5, 3], "step": 7, "ordinal_position": 8}, {"identifier": "X31", "position": [5, 4], "step": 8, "ordinal_position": 9}, {"identifier": "U77", "position": [5, 5], "step": 9, "ordinal_position": 10}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 10, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_003.json"}} {"qa_id": "126b72298469452986b8ab6a27fad612", "image_id": "L3-MazeLoop-test_11x11_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T74, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "T74", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "X31", "traversal_path": [{"identifier": "T74", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "U70", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "X31", "position": [5, 4], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 3, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_003.json"}} {"qa_id": "f946ed5ae5cc4d239cefea8741746dfe", "image_id": "L3-MazeLoop-test_11x11_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P47, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "P47", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "R25", "traversal_path": [{"identifier": "P47", "position": [6, 7], "step": 0, "ordinal_position": 1}, {"identifier": "X49", "position": [7, 7], "step": 1, "ordinal_position": 2}, {"identifier": "X96", "position": [7, 6], "step": 2, "ordinal_position": 3}, {"identifier": "K93", "position": [7, 5], "step": 3, "ordinal_position": 4}, {"identifier": "R86", "position": [8, 5], "step": 4, "ordinal_position": 5}, {"identifier": "R25", "position": [9, 5], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 6, "direction": "right", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_003.json"}} {"qa_id": "2c91c77c86ed4e56a16650512cf0a914", "image_id": "L3-MazeLoop-test_11x11_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R49, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "R49", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "B17", "traversal_path": [{"identifier": "R49", "position": [3, 9], "step": 0, "ordinal_position": 1}, {"identifier": "E87", "position": [4, 9], "step": 1, "ordinal_position": 2}, {"identifier": "I64", "position": [5, 9], "step": 2, "ordinal_position": 3}, {"identifier": "B17", "position": [6, 9], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 4, "direction": "right", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_003.json"}} {"qa_id": "dceb985381f5479c93151f93708e8d06", "image_id": "L3-MazeLoop-test_11x11_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M03, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 77th position in this traversal?", "start_object_id": "M03", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [77], "ordinal_strings": ["77th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "R00", "traversal_path": [{"identifier": "M03", "position": [7, 3], "step": 0, "ordinal_position": 1}, {"identifier": "V87", "position": [7, 2], "step": 1, "ordinal_position": 2}, {"identifier": "W19", "position": [7, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Q69", "position": [8, 1], "step": 3, "ordinal_position": 4}, {"identifier": "C59", "position": [9, 1], "step": 4, "ordinal_position": 5}, {"identifier": "X93", "position": [9, 2], "step": 5, "ordinal_position": 6}, {"identifier": "N36", "position": [9, 3], "step": 6, "ordinal_position": 7}, {"identifier": "X51", "position": [9, 4], "step": 7, "ordinal_position": 8}, {"identifier": "R25", "position": [9, 5], "step": 8, "ordinal_position": 9}, {"identifier": "N79", "position": [9, 6], "step": 9, "ordinal_position": 10}, {"identifier": "Z17", "position": [9, 7], "step": 10, "ordinal_position": 11}, {"identifier": "L67", "position": [9, 8], "step": 11, "ordinal_position": 12}, {"identifier": "P80", "position": [9, 9], "step": 12, "ordinal_position": 13}, {"identifier": "Y78", "position": [8, 9], "step": 13, "ordinal_position": 14}, {"identifier": "O09", "position": [7, 9], "step": 14, "ordinal_position": 15}, {"identifier": "B17", "position": [6, 9], "step": 15, "ordinal_position": 16}, {"identifier": "I64", "position": [5, 9], "step": 16, "ordinal_position": 17}, {"identifier": "E87", "position": [4, 9], "step": 17, "ordinal_position": 18}, {"identifier": "R49", "position": [3, 9], "step": 18, "ordinal_position": 19}, {"identifier": "C72", "position": [2, 9], "step": 19, "ordinal_position": 20}, {"identifier": "O37", "position": [1, 9], "step": 20, "ordinal_position": 21}, {"identifier": "E26", "position": [1, 8], "step": 21, "ordinal_position": 22}, {"identifier": "W56", "position": [1, 7], "step": 22, "ordinal_position": 23}, {"identifier": "B84", "position": [1, 6], "step": 23, "ordinal_position": 24}, {"identifier": "Y01", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "M33", "position": [1, 4], "step": 25, "ordinal_position": 26}, {"identifier": "Q81", "position": [1, 3], "step": 26, "ordinal_position": 27}, {"identifier": "N55", "position": [1, 2], "step": 27, "ordinal_position": 28}, {"identifier": "R00", "position": [1, 1], "step": 28, "ordinal_position": 29}, {"identifier": "G68", "position": [2, 1], "step": 29, "ordinal_position": 30}, {"identifier": "X42", "position": [3, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Z66", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "B81", "position": [5, 1], "step": 32, "ordinal_position": 33}, {"identifier": "T74", "position": [5, 2], "step": 33, "ordinal_position": 34}, {"identifier": "U70", "position": [5, 3], "step": 34, "ordinal_position": 35}, {"identifier": "X31", "position": [5, 4], "step": 35, "ordinal_position": 36}, {"identifier": "U77", "position": [5, 5], "step": 36, "ordinal_position": 37}, {"identifier": "T80", "position": [4, 5], "step": 37, "ordinal_position": 38}, {"identifier": "L45", "position": [3, 5], "step": 38, "ordinal_position": 39}, {"identifier": "F09", "position": [3, 4], "step": 39, "ordinal_position": 40}, {"identifier": "G17", "position": [3, 3], "step": 40, "ordinal_position": 41}, {"identifier": "K56", "position": [2, 3], "step": 41, "ordinal_position": 42}, {"identifier": "Q81", "position": [1, 3], "step": 42, "ordinal_position": 43}, {"identifier": "N55", "position": [1, 2], "step": 43, "ordinal_position": 44}, {"identifier": "R00", "position": [1, 1], "step": 44, "ordinal_position": 45}, {"identifier": "G68", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "X42", "position": [3, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Z66", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "B81", "position": [5, 1], "step": 48, "ordinal_position": 49}, {"identifier": "T74", "position": [5, 2], "step": 49, "ordinal_position": 50}, {"identifier": "U70", "position": [5, 3], "step": 50, "ordinal_position": 51}, {"identifier": "X31", "position": [5, 4], "step": 51, "ordinal_position": 52}, {"identifier": "U77", "position": [5, 5], "step": 52, "ordinal_position": 53}, {"identifier": "T80", "position": [4, 5], "step": 53, "ordinal_position": 54}, {"identifier": "L45", "position": [3, 5], "step": 54, "ordinal_position": 55}, {"identifier": "F09", "position": [3, 4], "step": 55, "ordinal_position": 56}, {"identifier": "G17", "position": [3, 3], "step": 56, "ordinal_position": 57}, {"identifier": "K56", "position": [2, 3], "step": 57, "ordinal_position": 58}, {"identifier": "Q81", "position": [1, 3], "step": 58, "ordinal_position": 59}, {"identifier": "N55", "position": [1, 2], "step": 59, "ordinal_position": 60}, {"identifier": "R00", "position": [1, 1], "step": 60, "ordinal_position": 61}, {"identifier": "G68", "position": [2, 1], "step": 61, "ordinal_position": 62}, {"identifier": "X42", "position": [3, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Z66", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "B81", "position": [5, 1], "step": 64, "ordinal_position": 65}, {"identifier": "T74", "position": [5, 2], "step": 65, "ordinal_position": 66}, {"identifier": "U70", "position": [5, 3], "step": 66, "ordinal_position": 67}, {"identifier": "X31", "position": [5, 4], "step": 67, "ordinal_position": 68}, {"identifier": "U77", "position": [5, 5], "step": 68, "ordinal_position": 69}, {"identifier": "T80", "position": [4, 5], "step": 69, "ordinal_position": 70}, {"identifier": "L45", "position": [3, 5], "step": 70, "ordinal_position": 71}, {"identifier": "F09", "position": [3, 4], "step": 71, "ordinal_position": 72}, {"identifier": "G17", "position": [3, 3], "step": 72, "ordinal_position": 73}, {"identifier": "K56", "position": [2, 3], "step": 73, "ordinal_position": 74}, {"identifier": "Q81", "position": [1, 3], "step": 74, "ordinal_position": 75}, {"identifier": "N55", "position": [1, 2], "step": 75, "ordinal_position": 76}, {"identifier": "R00", "position": [1, 1], "step": 76, "ordinal_position": 77}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 77, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_003.json"}} {"qa_id": "f93bd591201e47c4b2c76c7783515774", "image_id": "L3-MazeLoop-test_11x11_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T74, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 89th position in this traversal?", "start_object_id": "T74", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [89], "ordinal_strings": ["89th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "J51", "traversal_path": [{"identifier": "T74", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "U70", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "X31", "position": [5, 4], "step": 2, "ordinal_position": 3}, {"identifier": "U77", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "T80", "position": [4, 5], "step": 4, "ordinal_position": 5}, {"identifier": "L45", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "Y81", "position": [3, 6], "step": 6, "ordinal_position": 7}, {"identifier": "A82", "position": [3, 7], "step": 7, "ordinal_position": 8}, {"identifier": "Z92", "position": [4, 7], "step": 8, "ordinal_position": 9}, {"identifier": "L43", "position": [5, 7], "step": 9, "ordinal_position": 10}, {"identifier": "P47", "position": [6, 7], "step": 10, "ordinal_position": 11}, {"identifier": "X49", "position": [7, 7], "step": 11, "ordinal_position": 12}, {"identifier": "X96", "position": [7, 6], "step": 12, "ordinal_position": 13}, {"identifier": "K93", "position": [7, 5], "step": 13, "ordinal_position": 14}, {"identifier": "R86", "position": [8, 5], "step": 14, "ordinal_position": 15}, {"identifier": "R25", "position": [9, 5], "step": 15, "ordinal_position": 16}, {"identifier": "X51", "position": [9, 4], "step": 16, "ordinal_position": 17}, {"identifier": "N36", "position": [9, 3], "step": 17, "ordinal_position": 18}, {"identifier": "X93", "position": [9, 2], "step": 18, "ordinal_position": 19}, {"identifier": "C59", "position": [9, 1], "step": 19, "ordinal_position": 20}, {"identifier": "Q69", "position": [8, 1], "step": 20, "ordinal_position": 21}, {"identifier": "W19", "position": [7, 1], "step": 21, "ordinal_position": 22}, {"identifier": "V87", "position": [7, 2], "step": 22, "ordinal_position": 23}, {"identifier": "M03", "position": [7, 3], "step": 23, "ordinal_position": 24}, {"identifier": "J51", "position": [8, 3], "step": 24, "ordinal_position": 25}, {"identifier": "N36", "position": [9, 3], "step": 25, "ordinal_position": 26}, {"identifier": "X93", "position": [9, 2], "step": 26, "ordinal_position": 27}, {"identifier": "C59", "position": [9, 1], "step": 27, "ordinal_position": 28}, {"identifier": "Q69", "position": [8, 1], "step": 28, "ordinal_position": 29}, {"identifier": "W19", "position": [7, 1], "step": 29, "ordinal_position": 30}, {"identifier": "V87", "position": [7, 2], "step": 30, "ordinal_position": 31}, {"identifier": "M03", "position": [7, 3], "step": 31, "ordinal_position": 32}, {"identifier": "J51", "position": [8, 3], "step": 32, "ordinal_position": 33}, {"identifier": "N36", "position": [9, 3], "step": 33, "ordinal_position": 34}, {"identifier": "X93", "position": [9, 2], "step": 34, "ordinal_position": 35}, {"identifier": "C59", "position": [9, 1], "step": 35, "ordinal_position": 36}, {"identifier": "Q69", "position": [8, 1], "step": 36, "ordinal_position": 37}, {"identifier": "W19", "position": [7, 1], "step": 37, "ordinal_position": 38}, {"identifier": "V87", "position": [7, 2], "step": 38, "ordinal_position": 39}, {"identifier": "M03", "position": [7, 3], "step": 39, "ordinal_position": 40}, {"identifier": "J51", "position": [8, 3], "step": 40, "ordinal_position": 41}, {"identifier": "N36", "position": [9, 3], "step": 41, "ordinal_position": 42}, {"identifier": "X93", "position": [9, 2], "step": 42, "ordinal_position": 43}, {"identifier": "C59", "position": [9, 1], "step": 43, "ordinal_position": 44}, {"identifier": "Q69", "position": [8, 1], "step": 44, "ordinal_position": 45}, {"identifier": "W19", "position": [7, 1], "step": 45, "ordinal_position": 46}, {"identifier": "V87", "position": [7, 2], "step": 46, "ordinal_position": 47}, {"identifier": "M03", "position": [7, 3], "step": 47, "ordinal_position": 48}, {"identifier": "J51", "position": [8, 3], "step": 48, "ordinal_position": 49}, {"identifier": "N36", "position": [9, 3], "step": 49, "ordinal_position": 50}, {"identifier": "X93", "position": [9, 2], "step": 50, "ordinal_position": 51}, {"identifier": "C59", "position": [9, 1], "step": 51, "ordinal_position": 52}, {"identifier": "Q69", "position": [8, 1], "step": 52, "ordinal_position": 53}, {"identifier": "W19", "position": [7, 1], "step": 53, "ordinal_position": 54}, {"identifier": "V87", "position": [7, 2], "step": 54, "ordinal_position": 55}, {"identifier": "M03", "position": [7, 3], "step": 55, "ordinal_position": 56}, {"identifier": "J51", "position": [8, 3], "step": 56, "ordinal_position": 57}, {"identifier": "N36", "position": [9, 3], "step": 57, "ordinal_position": 58}, {"identifier": "X93", "position": [9, 2], "step": 58, "ordinal_position": 59}, {"identifier": "C59", "position": [9, 1], "step": 59, "ordinal_position": 60}, {"identifier": "Q69", "position": [8, 1], "step": 60, "ordinal_position": 61}, {"identifier": "W19", "position": [7, 1], "step": 61, "ordinal_position": 62}, {"identifier": "V87", "position": [7, 2], "step": 62, "ordinal_position": 63}, {"identifier": "M03", "position": [7, 3], "step": 63, "ordinal_position": 64}, {"identifier": "J51", "position": [8, 3], "step": 64, "ordinal_position": 65}, {"identifier": "N36", "position": [9, 3], "step": 65, "ordinal_position": 66}, {"identifier": "X93", "position": [9, 2], "step": 66, "ordinal_position": 67}, {"identifier": "C59", "position": [9, 1], "step": 67, "ordinal_position": 68}, {"identifier": "Q69", "position": [8, 1], "step": 68, "ordinal_position": 69}, {"identifier": "W19", "position": [7, 1], "step": 69, "ordinal_position": 70}, {"identifier": "V87", "position": [7, 2], "step": 70, "ordinal_position": 71}, {"identifier": "M03", "position": [7, 3], "step": 71, "ordinal_position": 72}, {"identifier": "J51", "position": [8, 3], "step": 72, "ordinal_position": 73}, {"identifier": "N36", "position": [9, 3], "step": 73, "ordinal_position": 74}, {"identifier": "X93", "position": [9, 2], "step": 74, "ordinal_position": 75}, {"identifier": "C59", "position": [9, 1], "step": 75, "ordinal_position": 76}, {"identifier": "Q69", "position": [8, 1], "step": 76, "ordinal_position": 77}, {"identifier": "W19", "position": [7, 1], "step": 77, "ordinal_position": 78}, {"identifier": "V87", "position": [7, 2], "step": 78, "ordinal_position": 79}, {"identifier": "M03", "position": [7, 3], "step": 79, "ordinal_position": 80}, {"identifier": "J51", "position": [8, 3], "step": 80, "ordinal_position": 81}, {"identifier": "N36", "position": [9, 3], "step": 81, "ordinal_position": 82}, {"identifier": "X93", "position": [9, 2], "step": 82, "ordinal_position": 83}, {"identifier": "C59", "position": [9, 1], "step": 83, "ordinal_position": 84}, {"identifier": "Q69", "position": [8, 1], "step": 84, "ordinal_position": 85}, {"identifier": "W19", "position": [7, 1], "step": 85, "ordinal_position": 86}, {"identifier": "V87", "position": [7, 2], "step": 86, "ordinal_position": 87}, {"identifier": "M03", "position": [7, 3], "step": 87, "ordinal_position": 88}, {"identifier": "J51", "position": [8, 3], "step": 88, "ordinal_position": 89}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 89, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_003.json"}} {"qa_id": "3b2f84cf6426445a94d33b878f8f0ee4", "image_id": "L3-MazeLoop-test_11x11_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U70, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 83rd position in this traversal?", "start_object_id": "U70", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [83], "ordinal_strings": ["83rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "M03", "traversal_path": [{"identifier": "U70", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "T74", "position": [5, 2], "step": 1, "ordinal_position": 2}, {"identifier": "B81", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Z66", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "X42", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "G68", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "R00", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "N55", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "Q81", "position": [1, 3], "step": 8, "ordinal_position": 9}, {"identifier": "M33", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "Y01", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "B84", "position": [1, 6], "step": 11, "ordinal_position": 12}, {"identifier": "W56", "position": [1, 7], "step": 12, "ordinal_position": 13}, {"identifier": "E26", "position": [1, 8], "step": 13, "ordinal_position": 14}, {"identifier": "O37", "position": [1, 9], "step": 14, "ordinal_position": 15}, {"identifier": "C72", "position": [2, 9], "step": 15, "ordinal_position": 16}, {"identifier": "R49", "position": [3, 9], "step": 16, "ordinal_position": 17}, {"identifier": "E87", "position": [4, 9], "step": 17, "ordinal_position": 18}, {"identifier": "I64", "position": [5, 9], "step": 18, "ordinal_position": 19}, {"identifier": "B17", "position": [6, 9], "step": 19, "ordinal_position": 20}, {"identifier": "O09", "position": [7, 9], "step": 20, "ordinal_position": 21}, {"identifier": "Y78", "position": [8, 9], "step": 21, "ordinal_position": 22}, {"identifier": "P80", "position": [9, 9], "step": 22, "ordinal_position": 23}, {"identifier": "L67", "position": [9, 8], "step": 23, "ordinal_position": 24}, {"identifier": "Z17", "position": [9, 7], "step": 24, "ordinal_position": 25}, {"identifier": "N79", "position": [9, 6], "step": 25, "ordinal_position": 26}, {"identifier": "R25", "position": [9, 5], "step": 26, "ordinal_position": 27}, {"identifier": "X51", "position": [9, 4], "step": 27, "ordinal_position": 28}, {"identifier": "N36", "position": [9, 3], "step": 28, "ordinal_position": 29}, {"identifier": "X93", "position": [9, 2], "step": 29, "ordinal_position": 30}, {"identifier": "C59", "position": [9, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Q69", "position": [8, 1], "step": 31, "ordinal_position": 32}, {"identifier": "W19", "position": [7, 1], "step": 32, "ordinal_position": 33}, {"identifier": "V87", "position": [7, 2], "step": 33, "ordinal_position": 34}, {"identifier": "M03", "position": [7, 3], "step": 34, "ordinal_position": 35}, {"identifier": "J51", "position": [8, 3], "step": 35, "ordinal_position": 36}, {"identifier": "N36", "position": [9, 3], "step": 36, "ordinal_position": 37}, {"identifier": "X93", "position": [9, 2], "step": 37, "ordinal_position": 38}, {"identifier": "C59", "position": [9, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Q69", "position": [8, 1], "step": 39, "ordinal_position": 40}, {"identifier": "W19", "position": [7, 1], "step": 40, "ordinal_position": 41}, {"identifier": "V87", "position": [7, 2], "step": 41, "ordinal_position": 42}, {"identifier": "M03", "position": [7, 3], "step": 42, "ordinal_position": 43}, {"identifier": "J51", "position": [8, 3], "step": 43, "ordinal_position": 44}, {"identifier": "N36", "position": [9, 3], "step": 44, "ordinal_position": 45}, {"identifier": "X93", "position": [9, 2], "step": 45, "ordinal_position": 46}, {"identifier": "C59", "position": [9, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Q69", "position": [8, 1], "step": 47, "ordinal_position": 48}, {"identifier": "W19", "position": [7, 1], "step": 48, "ordinal_position": 49}, {"identifier": "V87", "position": [7, 2], "step": 49, "ordinal_position": 50}, {"identifier": "M03", "position": [7, 3], "step": 50, "ordinal_position": 51}, {"identifier": "J51", "position": [8, 3], "step": 51, "ordinal_position": 52}, {"identifier": "N36", "position": [9, 3], "step": 52, "ordinal_position": 53}, {"identifier": "X93", "position": [9, 2], "step": 53, "ordinal_position": 54}, {"identifier": "C59", "position": [9, 1], "step": 54, "ordinal_position": 55}, {"identifier": "Q69", "position": [8, 1], "step": 55, "ordinal_position": 56}, {"identifier": "W19", "position": [7, 1], "step": 56, "ordinal_position": 57}, {"identifier": "V87", "position": [7, 2], "step": 57, "ordinal_position": 58}, {"identifier": "M03", "position": [7, 3], "step": 58, "ordinal_position": 59}, {"identifier": "J51", "position": [8, 3], "step": 59, "ordinal_position": 60}, {"identifier": "N36", "position": [9, 3], "step": 60, "ordinal_position": 61}, {"identifier": "X93", "position": [9, 2], "step": 61, "ordinal_position": 62}, {"identifier": "C59", "position": [9, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Q69", "position": [8, 1], "step": 63, "ordinal_position": 64}, {"identifier": "W19", "position": [7, 1], "step": 64, "ordinal_position": 65}, {"identifier": "V87", "position": [7, 2], "step": 65, "ordinal_position": 66}, {"identifier": "M03", "position": [7, 3], "step": 66, "ordinal_position": 67}, {"identifier": "J51", "position": [8, 3], "step": 67, "ordinal_position": 68}, {"identifier": "N36", "position": [9, 3], "step": 68, "ordinal_position": 69}, {"identifier": "X93", "position": [9, 2], "step": 69, "ordinal_position": 70}, {"identifier": "C59", "position": [9, 1], "step": 70, "ordinal_position": 71}, {"identifier": "Q69", "position": [8, 1], "step": 71, "ordinal_position": 72}, {"identifier": "W19", "position": [7, 1], "step": 72, "ordinal_position": 73}, {"identifier": "V87", "position": [7, 2], "step": 73, "ordinal_position": 74}, {"identifier": "M03", "position": [7, 3], "step": 74, "ordinal_position": 75}, {"identifier": "J51", "position": [8, 3], "step": 75, "ordinal_position": 76}, {"identifier": "N36", "position": [9, 3], "step": 76, "ordinal_position": 77}, {"identifier": "X93", "position": [9, 2], "step": 77, "ordinal_position": 78}, {"identifier": "C59", "position": [9, 1], "step": 78, "ordinal_position": 79}, {"identifier": "Q69", "position": [8, 1], "step": 79, "ordinal_position": 80}, {"identifier": "W19", "position": [7, 1], "step": 80, "ordinal_position": 81}, {"identifier": "V87", "position": [7, 2], "step": 81, "ordinal_position": 82}, {"identifier": "M03", "position": [7, 3], "step": 82, "ordinal_position": 83}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 83, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_003.json"}} {"qa_id": "38a1c864a06c4a82baf8510b209cb8be", "image_id": "L3-MazeLoop-test_11x11_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C59, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 94th position in this traversal?", "start_object_id": "C59", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [94], "ordinal_strings": ["94th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "T74", "traversal_path": [{"identifier": "C59", "position": [9, 1], "step": 0, "ordinal_position": 1}, {"identifier": "X93", "position": [9, 2], "step": 1, "ordinal_position": 2}, {"identifier": "N36", "position": [9, 3], "step": 2, "ordinal_position": 3}, {"identifier": "X51", "position": [9, 4], "step": 3, "ordinal_position": 4}, {"identifier": "R25", "position": [9, 5], "step": 4, "ordinal_position": 5}, {"identifier": "N79", "position": [9, 6], "step": 5, "ordinal_position": 6}, {"identifier": "Z17", "position": [9, 7], "step": 6, "ordinal_position": 7}, {"identifier": "L67", "position": [9, 8], "step": 7, "ordinal_position": 8}, {"identifier": "P80", "position": [9, 9], "step": 8, "ordinal_position": 9}, {"identifier": "Y78", "position": [8, 9], "step": 9, "ordinal_position": 10}, {"identifier": "O09", "position": [7, 9], "step": 10, "ordinal_position": 11}, {"identifier": "B17", "position": [6, 9], "step": 11, "ordinal_position": 12}, {"identifier": "I64", "position": [5, 9], "step": 12, "ordinal_position": 13}, {"identifier": "E87", "position": [4, 9], "step": 13, "ordinal_position": 14}, {"identifier": "R49", "position": [3, 9], "step": 14, "ordinal_position": 15}, {"identifier": "C72", "position": [2, 9], "step": 15, "ordinal_position": 16}, {"identifier": "O37", "position": [1, 9], "step": 16, "ordinal_position": 17}, {"identifier": "E26", "position": [1, 8], "step": 17, "ordinal_position": 18}, {"identifier": "W56", "position": [1, 7], "step": 18, "ordinal_position": 19}, {"identifier": "B84", "position": [1, 6], "step": 19, "ordinal_position": 20}, {"identifier": "Y01", "position": [1, 5], "step": 20, "ordinal_position": 21}, {"identifier": "M33", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "Q81", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "N55", "position": [1, 2], "step": 23, "ordinal_position": 24}, {"identifier": "R00", "position": [1, 1], "step": 24, "ordinal_position": 25}, {"identifier": "G68", "position": [2, 1], "step": 25, "ordinal_position": 26}, {"identifier": "X42", "position": [3, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Z66", "position": [4, 1], "step": 27, "ordinal_position": 28}, {"identifier": "B81", "position": [5, 1], "step": 28, "ordinal_position": 29}, {"identifier": "T74", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "U70", "position": [5, 3], "step": 30, "ordinal_position": 31}, {"identifier": "X31", "position": [5, 4], "step": 31, "ordinal_position": 32}, {"identifier": "U77", "position": [5, 5], "step": 32, "ordinal_position": 33}, {"identifier": "T80", "position": [4, 5], "step": 33, "ordinal_position": 34}, {"identifier": "L45", "position": [3, 5], "step": 34, "ordinal_position": 35}, {"identifier": "F09", "position": [3, 4], "step": 35, "ordinal_position": 36}, {"identifier": "G17", "position": [3, 3], "step": 36, "ordinal_position": 37}, {"identifier": "K56", "position": [2, 3], "step": 37, "ordinal_position": 38}, {"identifier": "Q81", "position": [1, 3], "step": 38, "ordinal_position": 39}, {"identifier": "N55", "position": [1, 2], "step": 39, "ordinal_position": 40}, {"identifier": "R00", "position": [1, 1], "step": 40, "ordinal_position": 41}, {"identifier": "G68", "position": [2, 1], "step": 41, "ordinal_position": 42}, {"identifier": "X42", "position": [3, 1], "step": 42, "ordinal_position": 43}, {"identifier": "Z66", "position": [4, 1], "step": 43, "ordinal_position": 44}, {"identifier": "B81", "position": [5, 1], "step": 44, "ordinal_position": 45}, {"identifier": "T74", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "U70", "position": [5, 3], "step": 46, "ordinal_position": 47}, {"identifier": "X31", "position": [5, 4], "step": 47, "ordinal_position": 48}, {"identifier": "U77", "position": [5, 5], "step": 48, "ordinal_position": 49}, {"identifier": "T80", "position": [4, 5], "step": 49, "ordinal_position": 50}, {"identifier": "L45", "position": [3, 5], "step": 50, "ordinal_position": 51}, {"identifier": "F09", "position": [3, 4], "step": 51, "ordinal_position": 52}, {"identifier": "G17", "position": [3, 3], "step": 52, "ordinal_position": 53}, {"identifier": "K56", "position": [2, 3], "step": 53, "ordinal_position": 54}, {"identifier": "Q81", "position": [1, 3], "step": 54, "ordinal_position": 55}, {"identifier": "N55", "position": [1, 2], "step": 55, "ordinal_position": 56}, {"identifier": "R00", "position": [1, 1], "step": 56, "ordinal_position": 57}, {"identifier": "G68", "position": [2, 1], "step": 57, "ordinal_position": 58}, {"identifier": "X42", "position": [3, 1], "step": 58, "ordinal_position": 59}, {"identifier": "Z66", "position": [4, 1], "step": 59, "ordinal_position": 60}, {"identifier": "B81", "position": [5, 1], "step": 60, "ordinal_position": 61}, {"identifier": "T74", "position": [5, 2], "step": 61, "ordinal_position": 62}, {"identifier": "U70", "position": [5, 3], "step": 62, "ordinal_position": 63}, {"identifier": "X31", "position": [5, 4], "step": 63, "ordinal_position": 64}, {"identifier": "U77", "position": [5, 5], "step": 64, "ordinal_position": 65}, {"identifier": "T80", "position": [4, 5], "step": 65, "ordinal_position": 66}, {"identifier": "L45", "position": [3, 5], "step": 66, "ordinal_position": 67}, {"identifier": "F09", "position": [3, 4], "step": 67, "ordinal_position": 68}, {"identifier": "G17", "position": [3, 3], "step": 68, "ordinal_position": 69}, {"identifier": "K56", "position": [2, 3], "step": 69, "ordinal_position": 70}, {"identifier": "Q81", "position": [1, 3], "step": 70, "ordinal_position": 71}, {"identifier": "N55", "position": [1, 2], "step": 71, "ordinal_position": 72}, {"identifier": "R00", "position": [1, 1], "step": 72, "ordinal_position": 73}, {"identifier": "G68", "position": [2, 1], "step": 73, "ordinal_position": 74}, {"identifier": "X42", "position": [3, 1], "step": 74, "ordinal_position": 75}, {"identifier": "Z66", "position": [4, 1], "step": 75, "ordinal_position": 76}, {"identifier": "B81", "position": [5, 1], "step": 76, "ordinal_position": 77}, {"identifier": "T74", "position": [5, 2], "step": 77, "ordinal_position": 78}, {"identifier": "U70", "position": [5, 3], "step": 78, "ordinal_position": 79}, {"identifier": "X31", "position": [5, 4], "step": 79, "ordinal_position": 80}, {"identifier": "U77", "position": [5, 5], "step": 80, "ordinal_position": 81}, {"identifier": "T80", "position": [4, 5], "step": 81, "ordinal_position": 82}, {"identifier": "L45", "position": [3, 5], "step": 82, "ordinal_position": 83}, {"identifier": "F09", "position": [3, 4], "step": 83, "ordinal_position": 84}, {"identifier": "G17", "position": [3, 3], "step": 84, "ordinal_position": 85}, {"identifier": "K56", "position": [2, 3], "step": 85, "ordinal_position": 86}, {"identifier": "Q81", "position": [1, 3], "step": 86, "ordinal_position": 87}, {"identifier": "N55", "position": [1, 2], "step": 87, "ordinal_position": 88}, {"identifier": "R00", "position": [1, 1], "step": 88, "ordinal_position": 89}, {"identifier": "G68", "position": [2, 1], "step": 89, "ordinal_position": 90}, {"identifier": "X42", "position": [3, 1], "step": 90, "ordinal_position": 91}, {"identifier": "Z66", "position": [4, 1], "step": 91, "ordinal_position": 92}, {"identifier": "B81", "position": [5, 1], "step": 92, "ordinal_position": 93}, {"identifier": "T74", "position": [5, 2], "step": 93, "ordinal_position": 94}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 94, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_003.json"}} {"qa_id": "60602bc1a99749bbabe7fcf2eadf463c", "image_id": "L3-MazeLoop-test_11x11_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R00, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 12th position in this traversal?", "start_object_id": "R00", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [12], "ordinal_strings": ["12th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "E87", "traversal_path": [{"identifier": "R00", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "N55", "position": [1, 2], "step": 1, "ordinal_position": 2}, {"identifier": "Q81", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "M33", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "Y01", "position": [1, 5], "step": 4, "ordinal_position": 5}, {"identifier": "B84", "position": [1, 6], "step": 5, "ordinal_position": 6}, {"identifier": "W56", "position": [1, 7], "step": 6, "ordinal_position": 7}, {"identifier": "E26", "position": [1, 8], "step": 7, "ordinal_position": 8}, {"identifier": "O37", "position": [1, 9], "step": 8, "ordinal_position": 9}, {"identifier": "C72", "position": [2, 9], "step": 9, "ordinal_position": 10}, {"identifier": "R49", "position": [3, 9], "step": 10, "ordinal_position": 11}, {"identifier": "E87", "position": [4, 9], "step": 11, "ordinal_position": 12}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 12, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_003.json"}} {"qa_id": "dd8391e4254f4431a4de5284ccd35c24", "image_id": "L3-MazeLoop-test_11x11_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F09, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 111th position in this traversal?", "start_object_id": "F09", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [111], "ordinal_strings": ["111th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "T80", "traversal_path": [{"identifier": "F09", "position": [3, 4], "step": 0, "ordinal_position": 1}, {"identifier": "G17", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "K56", "position": [2, 3], "step": 2, "ordinal_position": 3}, {"identifier": "Q81", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "N55", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "R00", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "G68", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "X42", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "Z66", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "B81", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "T74", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "U70", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "X31", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "U77", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "T80", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "L45", "position": [3, 5], "step": 15, "ordinal_position": 16}, {"identifier": "F09", "position": [3, 4], "step": 16, "ordinal_position": 17}, {"identifier": "G17", "position": [3, 3], "step": 17, "ordinal_position": 18}, {"identifier": "K56", "position": [2, 3], "step": 18, "ordinal_position": 19}, {"identifier": "Q81", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "N55", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "R00", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "G68", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "X42", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "Z66", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "B81", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "T74", "position": [5, 2], "step": 26, "ordinal_position": 27}, {"identifier": "U70", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "X31", "position": [5, 4], "step": 28, "ordinal_position": 29}, {"identifier": "U77", "position": [5, 5], "step": 29, "ordinal_position": 30}, {"identifier": "T80", "position": [4, 5], "step": 30, "ordinal_position": 31}, {"identifier": "L45", "position": [3, 5], "step": 31, "ordinal_position": 32}, {"identifier": "F09", "position": [3, 4], "step": 32, "ordinal_position": 33}, {"identifier": "G17", "position": [3, 3], "step": 33, "ordinal_position": 34}, {"identifier": "K56", "position": [2, 3], "step": 34, "ordinal_position": 35}, {"identifier": "Q81", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "N55", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "R00", "position": [1, 1], "step": 37, "ordinal_position": 38}, {"identifier": "G68", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "X42", "position": [3, 1], "step": 39, "ordinal_position": 40}, {"identifier": "Z66", "position": [4, 1], "step": 40, "ordinal_position": 41}, {"identifier": "B81", "position": [5, 1], "step": 41, "ordinal_position": 42}, {"identifier": "T74", "position": [5, 2], "step": 42, "ordinal_position": 43}, {"identifier": "U70", "position": [5, 3], "step": 43, "ordinal_position": 44}, {"identifier": "X31", "position": [5, 4], "step": 44, "ordinal_position": 45}, {"identifier": "U77", "position": [5, 5], "step": 45, "ordinal_position": 46}, {"identifier": "T80", "position": [4, 5], "step": 46, "ordinal_position": 47}, {"identifier": "L45", "position": [3, 5], "step": 47, "ordinal_position": 48}, {"identifier": "F09", "position": [3, 4], "step": 48, "ordinal_position": 49}, {"identifier": "G17", "position": [3, 3], "step": 49, "ordinal_position": 50}, {"identifier": "K56", "position": [2, 3], "step": 50, "ordinal_position": 51}, {"identifier": "Q81", "position": [1, 3], "step": 51, "ordinal_position": 52}, {"identifier": "N55", "position": [1, 2], "step": 52, "ordinal_position": 53}, {"identifier": "R00", "position": [1, 1], "step": 53, "ordinal_position": 54}, {"identifier": "G68", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "X42", "position": [3, 1], "step": 55, "ordinal_position": 56}, {"identifier": "Z66", "position": [4, 1], "step": 56, "ordinal_position": 57}, {"identifier": "B81", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "T74", "position": [5, 2], "step": 58, "ordinal_position": 59}, {"identifier": "U70", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "X31", "position": [5, 4], "step": 60, "ordinal_position": 61}, {"identifier": "U77", "position": [5, 5], "step": 61, "ordinal_position": 62}, {"identifier": "T80", "position": [4, 5], "step": 62, "ordinal_position": 63}, {"identifier": "L45", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "F09", "position": [3, 4], "step": 64, "ordinal_position": 65}, {"identifier": "G17", "position": [3, 3], "step": 65, "ordinal_position": 66}, {"identifier": "K56", "position": [2, 3], "step": 66, "ordinal_position": 67}, {"identifier": "Q81", "position": [1, 3], "step": 67, "ordinal_position": 68}, {"identifier": "N55", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "R00", "position": [1, 1], "step": 69, "ordinal_position": 70}, {"identifier": "G68", "position": [2, 1], "step": 70, "ordinal_position": 71}, {"identifier": "X42", "position": [3, 1], "step": 71, "ordinal_position": 72}, {"identifier": "Z66", "position": [4, 1], "step": 72, "ordinal_position": 73}, {"identifier": "B81", "position": [5, 1], "step": 73, "ordinal_position": 74}, {"identifier": "T74", "position": [5, 2], "step": 74, "ordinal_position": 75}, {"identifier": "U70", "position": [5, 3], "step": 75, "ordinal_position": 76}, {"identifier": "X31", "position": [5, 4], "step": 76, "ordinal_position": 77}, {"identifier": "U77", "position": [5, 5], "step": 77, "ordinal_position": 78}, {"identifier": "T80", "position": [4, 5], "step": 78, "ordinal_position": 79}, {"identifier": "L45", "position": [3, 5], "step": 79, "ordinal_position": 80}, {"identifier": "F09", "position": [3, 4], "step": 80, "ordinal_position": 81}, {"identifier": "G17", "position": [3, 3], "step": 81, "ordinal_position": 82}, {"identifier": "K56", "position": [2, 3], "step": 82, "ordinal_position": 83}, {"identifier": "Q81", "position": [1, 3], "step": 83, "ordinal_position": 84}, {"identifier": "N55", "position": [1, 2], "step": 84, "ordinal_position": 85}, {"identifier": "R00", "position": [1, 1], "step": 85, "ordinal_position": 86}, {"identifier": "G68", "position": [2, 1], "step": 86, "ordinal_position": 87}, {"identifier": "X42", "position": [3, 1], "step": 87, "ordinal_position": 88}, {"identifier": "Z66", "position": [4, 1], "step": 88, "ordinal_position": 89}, {"identifier": "B81", "position": [5, 1], "step": 89, "ordinal_position": 90}, {"identifier": "T74", "position": [5, 2], "step": 90, "ordinal_position": 91}, {"identifier": "U70", "position": [5, 3], "step": 91, "ordinal_position": 92}, {"identifier": "X31", "position": [5, 4], "step": 92, "ordinal_position": 93}, {"identifier": "U77", "position": [5, 5], "step": 93, "ordinal_position": 94}, {"identifier": "T80", "position": [4, 5], "step": 94, "ordinal_position": 95}, {"identifier": "L45", "position": [3, 5], "step": 95, "ordinal_position": 96}, {"identifier": "F09", "position": [3, 4], "step": 96, "ordinal_position": 97}, {"identifier": "G17", "position": [3, 3], "step": 97, "ordinal_position": 98}, {"identifier": "K56", "position": [2, 3], "step": 98, "ordinal_position": 99}, {"identifier": "Q81", "position": [1, 3], "step": 99, "ordinal_position": 100}, {"identifier": "N55", "position": [1, 2], "step": 100, "ordinal_position": 101}, {"identifier": "R00", "position": [1, 1], "step": 101, "ordinal_position": 102}, {"identifier": "G68", "position": [2, 1], "step": 102, "ordinal_position": 103}, {"identifier": "X42", "position": [3, 1], "step": 103, "ordinal_position": 104}, {"identifier": "Z66", "position": [4, 1], "step": 104, "ordinal_position": 105}, {"identifier": "B81", "position": [5, 1], "step": 105, "ordinal_position": 106}, {"identifier": "T74", "position": [5, 2], "step": 106, "ordinal_position": 107}, {"identifier": "U70", "position": [5, 3], "step": 107, "ordinal_position": 108}, {"identifier": "X31", "position": [5, 4], "step": 108, "ordinal_position": 109}, {"identifier": "U77", "position": [5, 5], "step": 109, "ordinal_position": 110}, {"identifier": "T80", "position": [4, 5], "step": 110, "ordinal_position": 111}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 111, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_003.json"}} {"qa_id": "3788c6fa8eb64baaaadbe7329f2e4a41", "image_id": "L3-MazeLoop-test_11x11_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L43, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 244th position in this traversal?", "start_object_id": "L43", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [244], "ordinal_strings": ["244th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "J51", "traversal_path": [{"identifier": "L43", "position": [5, 7], "step": 0, "ordinal_position": 1}, {"identifier": "D62", "position": [5, 8], "step": 1, "ordinal_position": 2}, {"identifier": "I64", "position": [5, 9], "step": 2, "ordinal_position": 3}, {"identifier": "B17", "position": [6, 9], "step": 3, "ordinal_position": 4}, {"identifier": "O09", "position": [7, 9], "step": 4, "ordinal_position": 5}, {"identifier": "Y78", "position": [8, 9], "step": 5, "ordinal_position": 6}, {"identifier": "P80", "position": [9, 9], "step": 6, "ordinal_position": 7}, {"identifier": "L67", "position": [9, 8], "step": 7, "ordinal_position": 8}, {"identifier": "Z17", "position": [9, 7], "step": 8, "ordinal_position": 9}, {"identifier": "N79", "position": [9, 6], "step": 9, "ordinal_position": 10}, {"identifier": "R25", "position": [9, 5], "step": 10, "ordinal_position": 11}, {"identifier": "X51", "position": [9, 4], "step": 11, "ordinal_position": 12}, {"identifier": "N36", "position": [9, 3], "step": 12, "ordinal_position": 13}, {"identifier": "X93", "position": [9, 2], "step": 13, "ordinal_position": 14}, {"identifier": "C59", "position": [9, 1], "step": 14, "ordinal_position": 15}, {"identifier": "Q69", "position": [8, 1], "step": 15, "ordinal_position": 16}, {"identifier": "W19", "position": [7, 1], "step": 16, "ordinal_position": 17}, {"identifier": "V87", "position": [7, 2], "step": 17, "ordinal_position": 18}, {"identifier": "M03", "position": [7, 3], "step": 18, "ordinal_position": 19}, {"identifier": "J51", "position": [8, 3], "step": 19, "ordinal_position": 20}, {"identifier": "N36", "position": [9, 3], "step": 20, "ordinal_position": 21}, {"identifier": "X93", "position": [9, 2], "step": 21, "ordinal_position": 22}, {"identifier": "C59", "position": [9, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Q69", "position": [8, 1], "step": 23, "ordinal_position": 24}, {"identifier": "W19", "position": [7, 1], "step": 24, "ordinal_position": 25}, {"identifier": "V87", "position": [7, 2], "step": 25, "ordinal_position": 26}, {"identifier": "M03", "position": [7, 3], "step": 26, "ordinal_position": 27}, {"identifier": "J51", "position": [8, 3], "step": 27, "ordinal_position": 28}, {"identifier": "N36", "position": [9, 3], "step": 28, "ordinal_position": 29}, {"identifier": "X93", "position": [9, 2], "step": 29, "ordinal_position": 30}, {"identifier": "C59", "position": [9, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Q69", "position": [8, 1], "step": 31, "ordinal_position": 32}, {"identifier": "W19", "position": [7, 1], "step": 32, "ordinal_position": 33}, {"identifier": "V87", "position": [7, 2], "step": 33, "ordinal_position": 34}, {"identifier": "M03", "position": [7, 3], "step": 34, "ordinal_position": 35}, {"identifier": "J51", "position": [8, 3], "step": 35, "ordinal_position": 36}, {"identifier": "N36", "position": [9, 3], "step": 36, "ordinal_position": 37}, {"identifier": "X93", "position": [9, 2], "step": 37, "ordinal_position": 38}, {"identifier": "C59", "position": [9, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Q69", "position": [8, 1], "step": 39, "ordinal_position": 40}, {"identifier": "W19", "position": [7, 1], "step": 40, "ordinal_position": 41}, {"identifier": "V87", "position": [7, 2], "step": 41, "ordinal_position": 42}, {"identifier": "M03", "position": [7, 3], "step": 42, "ordinal_position": 43}, {"identifier": "J51", "position": [8, 3], "step": 43, "ordinal_position": 44}, {"identifier": "N36", "position": [9, 3], "step": 44, "ordinal_position": 45}, {"identifier": "X93", "position": [9, 2], "step": 45, "ordinal_position": 46}, {"identifier": "C59", "position": [9, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Q69", "position": [8, 1], "step": 47, "ordinal_position": 48}, {"identifier": "W19", "position": [7, 1], "step": 48, "ordinal_position": 49}, {"identifier": "V87", "position": [7, 2], "step": 49, "ordinal_position": 50}, {"identifier": "M03", "position": [7, 3], "step": 50, "ordinal_position": 51}, {"identifier": "J51", "position": [8, 3], "step": 51, "ordinal_position": 52}, {"identifier": "N36", "position": [9, 3], "step": 52, "ordinal_position": 53}, {"identifier": "X93", "position": [9, 2], "step": 53, "ordinal_position": 54}, {"identifier": "C59", "position": [9, 1], "step": 54, "ordinal_position": 55}, {"identifier": "Q69", "position": [8, 1], "step": 55, "ordinal_position": 56}, {"identifier": "W19", "position": [7, 1], "step": 56, "ordinal_position": 57}, {"identifier": "V87", "position": [7, 2], "step": 57, "ordinal_position": 58}, {"identifier": "M03", "position": [7, 3], "step": 58, "ordinal_position": 59}, {"identifier": "J51", "position": [8, 3], "step": 59, "ordinal_position": 60}, {"identifier": "N36", "position": [9, 3], "step": 60, "ordinal_position": 61}, {"identifier": "X93", "position": [9, 2], "step": 61, "ordinal_position": 62}, {"identifier": "C59", "position": [9, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Q69", "position": [8, 1], "step": 63, "ordinal_position": 64}, {"identifier": "W19", "position": [7, 1], "step": 64, "ordinal_position": 65}, {"identifier": "V87", "position": [7, 2], "step": 65, "ordinal_position": 66}, {"identifier": "M03", "position": [7, 3], "step": 66, "ordinal_position": 67}, {"identifier": "J51", "position": [8, 3], "step": 67, "ordinal_position": 68}, {"identifier": "N36", "position": [9, 3], "step": 68, "ordinal_position": 69}, {"identifier": "X93", "position": [9, 2], "step": 69, "ordinal_position": 70}, {"identifier": "C59", "position": [9, 1], "step": 70, "ordinal_position": 71}, {"identifier": "Q69", "position": [8, 1], "step": 71, "ordinal_position": 72}, {"identifier": "W19", "position": [7, 1], "step": 72, "ordinal_position": 73}, {"identifier": "V87", "position": [7, 2], "step": 73, "ordinal_position": 74}, {"identifier": "M03", "position": [7, 3], "step": 74, "ordinal_position": 75}, {"identifier": "J51", "position": [8, 3], "step": 75, "ordinal_position": 76}, {"identifier": "N36", "position": [9, 3], "step": 76, "ordinal_position": 77}, {"identifier": 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"position": [9, 2], "step": 213, "ordinal_position": 214}, {"identifier": "C59", "position": [9, 1], "step": 214, "ordinal_position": 215}, {"identifier": "Q69", "position": [8, 1], "step": 215, "ordinal_position": 216}, {"identifier": "W19", "position": [7, 1], "step": 216, "ordinal_position": 217}, {"identifier": "V87", "position": [7, 2], "step": 217, "ordinal_position": 218}, {"identifier": "M03", "position": [7, 3], "step": 218, "ordinal_position": 219}, {"identifier": "J51", "position": [8, 3], "step": 219, "ordinal_position": 220}, {"identifier": "N36", "position": [9, 3], "step": 220, "ordinal_position": 221}, {"identifier": "X93", "position": [9, 2], "step": 221, "ordinal_position": 222}, {"identifier": "C59", "position": [9, 1], "step": 222, "ordinal_position": 223}, {"identifier": "Q69", "position": [8, 1], "step": 223, "ordinal_position": 224}, {"identifier": "W19", "position": [7, 1], "step": 224, "ordinal_position": 225}, {"identifier": "V87", "position": [7, 2], "step": 225, "ordinal_position": 226}, {"identifier": "M03", "position": [7, 3], "step": 226, "ordinal_position": 227}, {"identifier": "J51", "position": [8, 3], "step": 227, "ordinal_position": 228}, {"identifier": "N36", "position": [9, 3], "step": 228, "ordinal_position": 229}, {"identifier": "X93", "position": [9, 2], "step": 229, "ordinal_position": 230}, {"identifier": "C59", "position": [9, 1], "step": 230, "ordinal_position": 231}, {"identifier": "Q69", "position": [8, 1], "step": 231, "ordinal_position": 232}, {"identifier": "W19", "position": [7, 1], "step": 232, "ordinal_position": 233}, {"identifier": "V87", "position": [7, 2], "step": 233, "ordinal_position": 234}, {"identifier": "M03", "position": [7, 3], "step": 234, "ordinal_position": 235}, {"identifier": "J51", "position": [8, 3], "step": 235, "ordinal_position": 236}, {"identifier": "N36", "position": [9, 3], "step": 236, "ordinal_position": 237}, {"identifier": "X93", "position": [9, 2], "step": 237, "ordinal_position": 238}, {"identifier": "C59", "position": [9, 1], "step": 238, "ordinal_position": 239}, {"identifier": "Q69", "position": [8, 1], "step": 239, "ordinal_position": 240}, {"identifier": "W19", "position": [7, 1], "step": 240, "ordinal_position": 241}, {"identifier": "V87", "position": [7, 2], "step": 241, "ordinal_position": 242}, {"identifier": "M03", "position": [7, 3], "step": 242, "ordinal_position": 243}, {"identifier": "J51", "position": [8, 3], "step": 243, "ordinal_position": 244}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 244, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_003.json"}} {"qa_id": "a55ea9600283444da42fd1c42d469e9b", "image_id": "L3-MazeLoop-test_11x11_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M33, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 195th position in this traversal?", "start_object_id": "M33", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [195], "ordinal_strings": ["195th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "G68", "traversal_path": [{"identifier": "M33", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "Y01", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "B84", "position": [1, 6], "step": 2, "ordinal_position": 3}, {"identifier": "W56", "position": [1, 7], "step": 3, "ordinal_position": 4}, {"identifier": "E26", "position": [1, 8], "step": 4, "ordinal_position": 5}, {"identifier": "O37", "position": [1, 9], "step": 5, "ordinal_position": 6}, {"identifier": "C72", "position": [2, 9], "step": 6, "ordinal_position": 7}, {"identifier": "R49", "position": [3, 9], "step": 7, "ordinal_position": 8}, {"identifier": "E87", "position": [4, 9], "step": 8, "ordinal_position": 9}, {"identifier": "I64", "position": [5, 9], "step": 9, "ordinal_position": 10}, {"identifier": "B17", "position": [6, 9], "step": 10, "ordinal_position": 11}, {"identifier": "O09", "position": [7, 9], "step": 11, "ordinal_position": 12}, {"identifier": "Y78", "position": [8, 9], "step": 12, "ordinal_position": 13}, {"identifier": "P80", "position": [9, 9], "step": 13, "ordinal_position": 14}, {"identifier": "L67", "position": [9, 8], "step": 14, "ordinal_position": 15}, {"identifier": "Z17", "position": [9, 7], "step": 15, "ordinal_position": 16}, {"identifier": "N79", "position": [9, 6], "step": 16, "ordinal_position": 17}, {"identifier": "R25", "position": [9, 5], "step": 17, "ordinal_position": 18}, {"identifier": "X51", "position": [9, 4], "step": 18, "ordinal_position": 19}, {"identifier": "N36", "position": [9, 3], "step": 19, "ordinal_position": 20}, {"identifier": "X93", "position": [9, 2], "step": 20, "ordinal_position": 21}, {"identifier": "C59", "position": [9, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Q69", "position": [8, 1], "step": 22, "ordinal_position": 23}, {"identifier": "W19", "position": [7, 1], "step": 23, "ordinal_position": 24}, {"identifier": "V87", "position": [7, 2], "step": 24, "ordinal_position": 25}, {"identifier": "M03", "position": [7, 3], "step": 25, "ordinal_position": 26}, {"identifier": "J51", "position": [8, 3], "step": 26, "ordinal_position": 27}, {"identifier": "N36", "position": [9, 3], "step": 27, "ordinal_position": 28}, {"identifier": "X51", "position": [9, 4], "step": 28, "ordinal_position": 29}, {"identifier": "R25", "position": [9, 5], "step": 29, "ordinal_position": 30}, {"identifier": "N79", "position": [9, 6], "step": 30, "ordinal_position": 31}, {"identifier": "Z17", "position": [9, 7], "step": 31, "ordinal_position": 32}, {"identifier": "L67", "position": [9, 8], "step": 32, "ordinal_position": 33}, {"identifier": "P80", "position": [9, 9], "step": 33, "ordinal_position": 34}, {"identifier": "Y78", "position": [8, 9], "step": 34, "ordinal_position": 35}, {"identifier": "O09", "position": [7, 9], "step": 35, "ordinal_position": 36}, {"identifier": "B17", "position": [6, 9], "step": 36, "ordinal_position": 37}, {"identifier": "I64", "position": [5, 9], "step": 37, "ordinal_position": 38}, {"identifier": "E87", "position": [4, 9], "step": 38, "ordinal_position": 39}, {"identifier": "R49", "position": [3, 9], "step": 39, "ordinal_position": 40}, {"identifier": "C72", "position": [2, 9], "step": 40, "ordinal_position": 41}, {"identifier": "O37", "position": [1, 9], "step": 41, "ordinal_position": 42}, {"identifier": "E26", "position": [1, 8], "step": 42, "ordinal_position": 43}, {"identifier": "W56", "position": [1, 7], "step": 43, "ordinal_position": 44}, {"identifier": "B84", "position": [1, 6], "step": 44, "ordinal_position": 45}, {"identifier": "Y01", "position": [1, 5], "step": 45, "ordinal_position": 46}, {"identifier": "M33", "position": [1, 4], "step": 46, "ordinal_position": 47}, {"identifier": "Q81", "position": [1, 3], "step": 47, "ordinal_position": 48}, {"identifier": "N55", "position": [1, 2], "step": 48, "ordinal_position": 49}, {"identifier": "R00", "position": [1, 1], "step": 49, "ordinal_position": 50}, {"identifier": "G68", "position": [2, 1], "step": 50, "ordinal_position": 51}, {"identifier": "X42", "position": [3, 1], "step": 51, "ordinal_position": 52}, {"identifier": "Z66", "position": [4, 1], "step": 52, "ordinal_position": 53}, {"identifier": "B81", "position": [5, 1], "step": 53, "ordinal_position": 54}, {"identifier": "T74", "position": [5, 2], "step": 54, "ordinal_position": 55}, {"identifier": "U70", "position": [5, 3], "step": 55, "ordinal_position": 56}, {"identifier": "X31", "position": [5, 4], "step": 56, "ordinal_position": 57}, {"identifier": "U77", "position": [5, 5], "step": 57, "ordinal_position": 58}, {"identifier": "T80", "position": [4, 5], "step": 58, "ordinal_position": 59}, {"identifier": "L45", "position": [3, 5], "step": 59, "ordinal_position": 60}, {"identifier": "F09", "position": [3, 4], "step": 60, "ordinal_position": 61}, {"identifier": "G17", "position": [3, 3], "step": 61, "ordinal_position": 62}, {"identifier": "K56", "position": [2, 3], "step": 62, "ordinal_position": 63}, {"identifier": "Q81", "position": [1, 3], "step": 63, "ordinal_position": 64}, {"identifier": "N55", "position": [1, 2], "step": 64, "ordinal_position": 65}, {"identifier": "R00", "position": [1, 1], "step": 65, "ordinal_position": 66}, {"identifier": "G68", "position": [2, 1], "step": 66, "ordinal_position": 67}, {"identifier": "X42", "position": [3, 1], "step": 67, "ordinal_position": 68}, {"identifier": "Z66", "position": [4, 1], "step": 68, "ordinal_position": 69}, {"identifier": "B81", "position": [5, 1], "step": 69, "ordinal_position": 70}, {"identifier": "T74", "position": [5, 2], "step": 70, "ordinal_position": 71}, {"identifier": "U70", "position": [5, 3], "step": 71, "ordinal_position": 72}, {"identifier": "X31", "position": [5, 4], "step": 72, "ordinal_position": 73}, {"identifier": "U77", "position": [5, 5], "step": 73, "ordinal_position": 74}, {"identifier": "T80", "position": [4, 5], "step": 74, "ordinal_position": 75}, {"identifier": "L45", "position": [3, 5], "step": 75, "ordinal_position": 76}, {"identifier": "F09", "position": [3, 4], "step": 76, "ordinal_position": 77}, {"identifier": "G17", "position": [3, 3], "step": 77, "ordinal_position": 78}, {"identifier": "K56", "position": [2, 3], "step": 78, "ordinal_position": 79}, {"identifier": "Q81", "position": [1, 3], "step": 79, "ordinal_position": 80}, {"identifier": "N55", "position": [1, 2], "step": 80, "ordinal_position": 81}, {"identifier": "R00", "position": [1, 1], "step": 81, "ordinal_position": 82}, {"identifier": "G68", "position": [2, 1], "step": 82, "ordinal_position": 83}, {"identifier": "X42", "position": [3, 1], "step": 83, "ordinal_position": 84}, {"identifier": "Z66", "position": [4, 1], "step": 84, "ordinal_position": 85}, {"identifier": "B81", "position": [5, 1], "step": 85, "ordinal_position": 86}, {"identifier": "T74", "position": [5, 2], "step": 86, "ordinal_position": 87}, {"identifier": "U70", "position": [5, 3], "step": 87, "ordinal_position": 88}, {"identifier": "X31", "position": [5, 4], "step": 88, "ordinal_position": 89}, {"identifier": "U77", "position": [5, 5], "step": 89, "ordinal_position": 90}, {"identifier": "T80", "position": [4, 5], "step": 90, "ordinal_position": 91}, {"identifier": "L45", "position": [3, 5], "step": 91, "ordinal_position": 92}, {"identifier": "F09", "position": [3, 4], "step": 92, "ordinal_position": 93}, {"identifier": "G17", "position": [3, 3], "step": 93, "ordinal_position": 94}, {"identifier": "K56", "position": [2, 3], "step": 94, "ordinal_position": 95}, {"identifier": "Q81", "position": [1, 3], "step": 95, "ordinal_position": 96}, {"identifier": "N55", "position": [1, 2], "step": 96, "ordinal_position": 97}, {"identifier": "R00", "position": [1, 1], "step": 97, "ordinal_position": 98}, {"identifier": "G68", "position": [2, 1], "step": 98, "ordinal_position": 99}, {"identifier": "X42", "position": [3, 1], "step": 99, "ordinal_position": 100}, {"identifier": "Z66", "position": [4, 1], "step": 100, "ordinal_position": 101}, {"identifier": "B81", "position": [5, 1], "step": 101, "ordinal_position": 102}, {"identifier": "T74", "position": [5, 2], "step": 102, "ordinal_position": 103}, {"identifier": "U70", "position": [5, 3], "step": 103, "ordinal_position": 104}, {"identifier": "X31", "position": [5, 4], "step": 104, "ordinal_position": 105}, {"identifier": "U77", "position": [5, 5], "step": 105, "ordinal_position": 106}, {"identifier": "T80", "position": [4, 5], "step": 106, "ordinal_position": 107}, {"identifier": "L45", "position": [3, 5], "step": 107, "ordinal_position": 108}, {"identifier": "F09", "position": [3, 4], "step": 108, "ordinal_position": 109}, {"identifier": "G17", "position": [3, 3], "step": 109, "ordinal_position": 110}, {"identifier": "K56", "position": [2, 3], "step": 110, "ordinal_position": 111}, {"identifier": "Q81", "position": [1, 3], "step": 111, "ordinal_position": 112}, {"identifier": "N55", "position": [1, 2], "step": 112, "ordinal_position": 113}, {"identifier": "R00", "position": [1, 1], "step": 113, "ordinal_position": 114}, {"identifier": "G68", "position": [2, 1], "step": 114, "ordinal_position": 115}, {"identifier": "X42", "position": [3, 1], "step": 115, "ordinal_position": 116}, {"identifier": "Z66", "position": [4, 1], "step": 116, "ordinal_position": 117}, {"identifier": "B81", "position": [5, 1], "step": 117, "ordinal_position": 118}, {"identifier": "T74", "position": [5, 2], "step": 118, "ordinal_position": 119}, {"identifier": "U70", "position": [5, 3], "step": 119, "ordinal_position": 120}, {"identifier": "X31", "position": [5, 4], "step": 120, "ordinal_position": 121}, {"identifier": "U77", "position": [5, 5], "step": 121, "ordinal_position": 122}, {"identifier": "T80", "position": [4, 5], "step": 122, "ordinal_position": 123}, {"identifier": "L45", "position": [3, 5], "step": 123, "ordinal_position": 124}, {"identifier": "F09", "position": [3, 4], "step": 124, "ordinal_position": 125}, {"identifier": "G17", "position": [3, 3], "step": 125, "ordinal_position": 126}, {"identifier": "K56", "position": [2, 3], "step": 126, "ordinal_position": 127}, {"identifier": "Q81", "position": [1, 3], "step": 127, "ordinal_position": 128}, {"identifier": "N55", "position": [1, 2], "step": 128, "ordinal_position": 129}, {"identifier": "R00", "position": [1, 1], "step": 129, "ordinal_position": 130}, {"identifier": "G68", "position": [2, 1], "step": 130, "ordinal_position": 131}, {"identifier": "X42", "position": [3, 1], "step": 131, "ordinal_position": 132}, {"identifier": "Z66", "position": [4, 1], "step": 132, "ordinal_position": 133}, {"identifier": "B81", "position": [5, 1], "step": 133, "ordinal_position": 134}, {"identifier": "T74", "position": [5, 2], "step": 134, "ordinal_position": 135}, {"identifier": "U70", "position": [5, 3], "step": 135, "ordinal_position": 136}, {"identifier": "X31", "position": [5, 4], "step": 136, "ordinal_position": 137}, {"identifier": "U77", "position": [5, 5], "step": 137, "ordinal_position": 138}, {"identifier": "T80", "position": [4, 5], "step": 138, "ordinal_position": 139}, {"identifier": "L45", "position": [3, 5], "step": 139, "ordinal_position": 140}, {"identifier": "F09", "position": [3, 4], "step": 140, "ordinal_position": 141}, {"identifier": "G17", "position": [3, 3], "step": 141, "ordinal_position": 142}, {"identifier": "K56", "position": [2, 3], "step": 142, "ordinal_position": 143}, {"identifier": "Q81", "position": [1, 3], "step": 143, "ordinal_position": 144}, {"identifier": "N55", "position": [1, 2], "step": 144, "ordinal_position": 145}, {"identifier": "R00", "position": [1, 1], "step": 145, "ordinal_position": 146}, {"identifier": "G68", "position": [2, 1], "step": 146, "ordinal_position": 147}, {"identifier": "X42", "position": [3, 1], "step": 147, "ordinal_position": 148}, {"identifier": "Z66", "position": [4, 1], "step": 148, "ordinal_position": 149}, {"identifier": "B81", "position": [5, 1], "step": 149, "ordinal_position": 150}, {"identifier": "T74", "position": [5, 2], "step": 150, "ordinal_position": 151}, {"identifier": "U70", "position": [5, 3], "step": 151, "ordinal_position": 152}, {"identifier": "X31", "position": [5, 4], "step": 152, "ordinal_position": 153}, {"identifier": "U77", "position": [5, 5], "step": 153, "ordinal_position": 154}, {"identifier": "T80", "position": [4, 5], "step": 154, "ordinal_position": 155}, {"identifier": "L45", "position": [3, 5], "step": 155, "ordinal_position": 156}, {"identifier": "F09", "position": [3, 4], "step": 156, "ordinal_position": 157}, {"identifier": "G17", "position": [3, 3], "step": 157, "ordinal_position": 158}, {"identifier": "K56", "position": [2, 3], "step": 158, "ordinal_position": 159}, {"identifier": "Q81", "position": [1, 3], "step": 159, "ordinal_position": 160}, {"identifier": "N55", "position": [1, 2], "step": 160, "ordinal_position": 161}, {"identifier": "R00", "position": [1, 1], "step": 161, "ordinal_position": 162}, {"identifier": "G68", "position": [2, 1], "step": 162, "ordinal_position": 163}, {"identifier": "X42", "position": [3, 1], "step": 163, "ordinal_position": 164}, {"identifier": "Z66", "position": [4, 1], "step": 164, "ordinal_position": 165}, {"identifier": "B81", "position": [5, 1], "step": 165, "ordinal_position": 166}, {"identifier": "T74", "position": [5, 2], "step": 166, "ordinal_position": 167}, {"identifier": "U70", "position": [5, 3], "step": 167, "ordinal_position": 168}, {"identifier": "X31", "position": [5, 4], "step": 168, "ordinal_position": 169}, {"identifier": "U77", "position": [5, 5], "step": 169, "ordinal_position": 170}, {"identifier": "T80", "position": [4, 5], "step": 170, "ordinal_position": 171}, {"identifier": "L45", "position": [3, 5], "step": 171, "ordinal_position": 172}, {"identifier": "F09", "position": [3, 4], "step": 172, "ordinal_position": 173}, {"identifier": "G17", "position": [3, 3], "step": 173, "ordinal_position": 174}, {"identifier": "K56", "position": [2, 3], "step": 174, "ordinal_position": 175}, {"identifier": "Q81", "position": [1, 3], "step": 175, "ordinal_position": 176}, {"identifier": "N55", "position": [1, 2], "step": 176, "ordinal_position": 177}, {"identifier": "R00", "position": [1, 1], "step": 177, "ordinal_position": 178}, {"identifier": "G68", "position": [2, 1], "step": 178, "ordinal_position": 179}, {"identifier": "X42", "position": [3, 1], "step": 179, "ordinal_position": 180}, {"identifier": "Z66", "position": [4, 1], "step": 180, "ordinal_position": 181}, {"identifier": "B81", "position": [5, 1], "step": 181, "ordinal_position": 182}, {"identifier": "T74", "position": [5, 2], "step": 182, "ordinal_position": 183}, {"identifier": "U70", "position": [5, 3], "step": 183, "ordinal_position": 184}, {"identifier": "X31", "position": [5, 4], "step": 184, "ordinal_position": 185}, {"identifier": "U77", "position": [5, 5], "step": 185, "ordinal_position": 186}, {"identifier": "T80", "position": [4, 5], "step": 186, "ordinal_position": 187}, {"identifier": "L45", "position": [3, 5], "step": 187, "ordinal_position": 188}, {"identifier": "F09", "position": [3, 4], "step": 188, "ordinal_position": 189}, {"identifier": "G17", "position": [3, 3], "step": 189, "ordinal_position": 190}, {"identifier": "K56", "position": [2, 3], "step": 190, "ordinal_position": 191}, {"identifier": "Q81", "position": [1, 3], "step": 191, "ordinal_position": 192}, {"identifier": "N55", "position": [1, 2], "step": 192, "ordinal_position": 193}, {"identifier": "R00", "position": [1, 1], "step": 193, "ordinal_position": 194}, {"identifier": "G68", "position": [2, 1], "step": 194, "ordinal_position": 195}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 195, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_003.json"}} {"qa_id": "928528cbb3f44f81b7d09d7efe7d78aa", "image_id": "L3-MazeLoop-test_11x11_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M03, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 191st position in this traversal?", "start_object_id": "M03", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [191], "ordinal_strings": ["191st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U70", "traversal_path": [{"identifier": "M03", "position": [7, 3], "step": 0, "ordinal_position": 1}, {"identifier": "J51", "position": [8, 3], "step": 1, "ordinal_position": 2}, {"identifier": "N36", "position": [9, 3], "step": 2, "ordinal_position": 3}, {"identifier": "X51", "position": [9, 4], "step": 3, "ordinal_position": 4}, {"identifier": "R25", "position": [9, 5], "step": 4, "ordinal_position": 5}, {"identifier": "N79", "position": [9, 6], "step": 5, "ordinal_position": 6}, {"identifier": "Z17", "position": [9, 7], "step": 6, "ordinal_position": 7}, {"identifier": "L67", "position": [9, 8], "step": 7, "ordinal_position": 8}, {"identifier": "P80", "position": [9, 9], "step": 8, "ordinal_position": 9}, {"identifier": "Y78", "position": [8, 9], "step": 9, "ordinal_position": 10}, {"identifier": "O09", "position": [7, 9], "step": 10, "ordinal_position": 11}, {"identifier": "B17", "position": [6, 9], "step": 11, "ordinal_position": 12}, {"identifier": "I64", "position": [5, 9], "step": 12, "ordinal_position": 13}, {"identifier": "E87", "position": [4, 9], "step": 13, "ordinal_position": 14}, {"identifier": "R49", "position": [3, 9], "step": 14, "ordinal_position": 15}, {"identifier": "C72", "position": [2, 9], "step": 15, "ordinal_position": 16}, {"identifier": "O37", "position": [1, 9], "step": 16, "ordinal_position": 17}, {"identifier": "E26", "position": [1, 8], "step": 17, "ordinal_position": 18}, {"identifier": "W56", "position": [1, 7], "step": 18, "ordinal_position": 19}, {"identifier": "B84", "position": [1, 6], "step": 19, "ordinal_position": 20}, {"identifier": "Y01", "position": [1, 5], "step": 20, "ordinal_position": 21}, {"identifier": "M33", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "Q81", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "N55", "position": [1, 2], "step": 23, "ordinal_position": 24}, {"identifier": "R00", "position": [1, 1], "step": 24, "ordinal_position": 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"step": 37, "ordinal_position": 38}, {"identifier": "Q81", "position": [1, 3], "step": 38, "ordinal_position": 39}, {"identifier": "N55", "position": [1, 2], "step": 39, "ordinal_position": 40}, {"identifier": "R00", "position": [1, 1], "step": 40, "ordinal_position": 41}, {"identifier": "G68", "position": [2, 1], "step": 41, "ordinal_position": 42}, {"identifier": "X42", "position": [3, 1], "step": 42, "ordinal_position": 43}, {"identifier": "Z66", "position": [4, 1], "step": 43, "ordinal_position": 44}, {"identifier": "B81", "position": [5, 1], "step": 44, "ordinal_position": 45}, {"identifier": "T74", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "U70", "position": [5, 3], "step": 46, "ordinal_position": 47}, {"identifier": "X31", "position": [5, 4], "step": 47, "ordinal_position": 48}, {"identifier": "U77", "position": [5, 5], "step": 48, "ordinal_position": 49}, {"identifier": "T80", "position": [4, 5], "step": 49, "ordinal_position": 50}, {"identifier": "L45", "position": [3, 5], "step": 50, "ordinal_position": 51}, {"identifier": "F09", "position": [3, 4], "step": 51, "ordinal_position": 52}, {"identifier": "G17", "position": [3, 3], "step": 52, "ordinal_position": 53}, {"identifier": "K56", "position": [2, 3], "step": 53, "ordinal_position": 54}, {"identifier": "Q81", "position": [1, 3], "step": 54, "ordinal_position": 55}, {"identifier": "N55", "position": [1, 2], "step": 55, "ordinal_position": 56}, {"identifier": "R00", "position": [1, 1], "step": 56, "ordinal_position": 57}, {"identifier": "G68", "position": [2, 1], "step": 57, "ordinal_position": 58}, {"identifier": "X42", "position": [3, 1], "step": 58, "ordinal_position": 59}, {"identifier": "Z66", "position": [4, 1], "step": 59, "ordinal_position": 60}, {"identifier": "B81", "position": [5, 1], "step": 60, "ordinal_position": 61}, {"identifier": "T74", "position": [5, 2], "step": 61, "ordinal_position": 62}, {"identifier": "U70", "position": [5, 3], "step": 62, "ordinal_position": 63}, {"identifier": "X31", "position": [5, 4], "step": 63, "ordinal_position": 64}, {"identifier": "U77", "position": [5, 5], "step": 64, "ordinal_position": 65}, {"identifier": "T80", "position": [4, 5], "step": 65, "ordinal_position": 66}, {"identifier": "L45", "position": [3, 5], "step": 66, "ordinal_position": 67}, {"identifier": "F09", "position": [3, 4], "step": 67, "ordinal_position": 68}, {"identifier": "G17", "position": [3, 3], "step": 68, "ordinal_position": 69}, {"identifier": "K56", "position": [2, 3], "step": 69, "ordinal_position": 70}, {"identifier": "Q81", "position": [1, 3], "step": 70, "ordinal_position": 71}, {"identifier": "N55", "position": [1, 2], "step": 71, "ordinal_position": 72}, {"identifier": "R00", "position": [1, 1], "step": 72, "ordinal_position": 73}, {"identifier": "G68", "position": [2, 1], "step": 73, "ordinal_position": 74}, {"identifier": "X42", "position": [3, 1], "step": 74, "ordinal_position": 75}, {"identifier": "Z66", "position": [4, 1], "step": 75, "ordinal_position": 76}, {"identifier": "B81", "position": [5, 1], "step": 76, "ordinal_position": 77}, {"identifier": "T74", "position": [5, 2], "step": 77, "ordinal_position": 78}, {"identifier": "U70", "position": [5, 3], "step": 78, "ordinal_position": 79}, {"identifier": "X31", "position": [5, 4], "step": 79, "ordinal_position": 80}, {"identifier": "U77", "position": [5, 5], "step": 80, "ordinal_position": 81}, {"identifier": "T80", "position": [4, 5], "step": 81, "ordinal_position": 82}, {"identifier": "L45", "position": [3, 5], "step": 82, "ordinal_position": 83}, {"identifier": "F09", "position": [3, 4], "step": 83, "ordinal_position": 84}, {"identifier": "G17", "position": [3, 3], "step": 84, "ordinal_position": 85}, {"identifier": "K56", "position": [2, 3], "step": 85, "ordinal_position": 86}, {"identifier": "Q81", "position": [1, 3], "step": 86, "ordinal_position": 87}, {"identifier": "N55", "position": [1, 2], "step": 87, "ordinal_position": 88}, {"identifier": "R00", "position": [1, 1], "step": 88, "ordinal_position": 89}, {"identifier": "G68", "position": [2, 1], "step": 89, "ordinal_position": 90}, {"identifier": "X42", "position": [3, 1], "step": 90, "ordinal_position": 91}, {"identifier": "Z66", "position": [4, 1], "step": 91, "ordinal_position": 92}, {"identifier": "B81", "position": [5, 1], "step": 92, "ordinal_position": 93}, {"identifier": "T74", "position": [5, 2], "step": 93, "ordinal_position": 94}, {"identifier": "U70", "position": [5, 3], "step": 94, "ordinal_position": 95}, {"identifier": "X31", "position": [5, 4], "step": 95, "ordinal_position": 96}, {"identifier": "U77", "position": [5, 5], "step": 96, "ordinal_position": 97}, {"identifier": "T80", "position": [4, 5], "step": 97, "ordinal_position": 98}, {"identifier": "L45", "position": [3, 5], "step": 98, "ordinal_position": 99}, {"identifier": "F09", "position": [3, 4], "step": 99, "ordinal_position": 100}, {"identifier": "G17", "position": [3, 3], "step": 100, "ordinal_position": 101}, {"identifier": "K56", "position": [2, 3], "step": 101, "ordinal_position": 102}, {"identifier": "Q81", "position": [1, 3], "step": 102, "ordinal_position": 103}, {"identifier": "N55", "position": [1, 2], "step": 103, "ordinal_position": 104}, {"identifier": "R00", "position": [1, 1], "step": 104, "ordinal_position": 105}, {"identifier": "G68", "position": [2, 1], "step": 105, "ordinal_position": 106}, {"identifier": "X42", "position": [3, 1], "step": 106, "ordinal_position": 107}, {"identifier": "Z66", "position": [4, 1], "step": 107, "ordinal_position": 108}, {"identifier": "B81", "position": [5, 1], "step": 108, "ordinal_position": 109}, {"identifier": "T74", "position": [5, 2], "step": 109, "ordinal_position": 110}, {"identifier": "U70", "position": [5, 3], "step": 110, "ordinal_position": 111}, {"identifier": "X31", "position": [5, 4], "step": 111, "ordinal_position": 112}, {"identifier": "U77", "position": [5, 5], "step": 112, "ordinal_position": 113}, {"identifier": "T80", "position": [4, 5], "step": 113, "ordinal_position": 114}, {"identifier": "L45", "position": [3, 5], "step": 114, "ordinal_position": 115}, {"identifier": "F09", "position": [3, 4], "step": 115, "ordinal_position": 116}, {"identifier": "G17", "position": [3, 3], "step": 116, "ordinal_position": 117}, {"identifier": "K56", "position": [2, 3], "step": 117, "ordinal_position": 118}, {"identifier": "Q81", "position": [1, 3], "step": 118, "ordinal_position": 119}, {"identifier": "N55", "position": [1, 2], "step": 119, "ordinal_position": 120}, {"identifier": "R00", "position": [1, 1], "step": 120, "ordinal_position": 121}, {"identifier": "G68", "position": [2, 1], "step": 121, "ordinal_position": 122}, {"identifier": "X42", "position": [3, 1], "step": 122, "ordinal_position": 123}, {"identifier": "Z66", "position": [4, 1], "step": 123, "ordinal_position": 124}, {"identifier": "B81", "position": [5, 1], "step": 124, "ordinal_position": 125}, {"identifier": "T74", "position": [5, 2], "step": 125, "ordinal_position": 126}, {"identifier": "U70", "position": [5, 3], "step": 126, "ordinal_position": 127}, {"identifier": "X31", "position": [5, 4], "step": 127, "ordinal_position": 128}, {"identifier": "U77", "position": [5, 5], "step": 128, "ordinal_position": 129}, {"identifier": "T80", "position": [4, 5], "step": 129, "ordinal_position": 130}, {"identifier": "L45", "position": [3, 5], "step": 130, "ordinal_position": 131}, {"identifier": "F09", "position": [3, 4], "step": 131, "ordinal_position": 132}, {"identifier": "G17", "position": [3, 3], "step": 132, "ordinal_position": 133}, {"identifier": "K56", "position": [2, 3], "step": 133, "ordinal_position": 134}, {"identifier": "Q81", "position": [1, 3], "step": 134, "ordinal_position": 135}, {"identifier": "N55", "position": [1, 2], "step": 135, "ordinal_position": 136}, {"identifier": "R00", "position": [1, 1], "step": 136, "ordinal_position": 137}, {"identifier": "G68", "position": [2, 1], "step": 137, "ordinal_position": 138}, {"identifier": "X42", "position": [3, 1], "step": 138, "ordinal_position": 139}, {"identifier": "Z66", "position": [4, 1], "step": 139, "ordinal_position": 140}, {"identifier": "B81", "position": [5, 1], "step": 140, "ordinal_position": 141}, {"identifier": "T74", "position": [5, 2], "step": 141, "ordinal_position": 142}, {"identifier": "U70", "position": [5, 3], "step": 142, "ordinal_position": 143}, {"identifier": "X31", "position": [5, 4], "step": 143, "ordinal_position": 144}, {"identifier": "U77", "position": [5, 5], "step": 144, "ordinal_position": 145}, {"identifier": "T80", "position": [4, 5], "step": 145, "ordinal_position": 146}, {"identifier": "L45", "position": [3, 5], "step": 146, "ordinal_position": 147}, {"identifier": "F09", "position": [3, 4], "step": 147, "ordinal_position": 148}, {"identifier": "G17", "position": [3, 3], "step": 148, "ordinal_position": 149}, {"identifier": "K56", "position": [2, 3], "step": 149, "ordinal_position": 150}, {"identifier": "Q81", "position": [1, 3], "step": 150, "ordinal_position": 151}, {"identifier": "N55", "position": [1, 2], "step": 151, "ordinal_position": 152}, {"identifier": "R00", "position": [1, 1], "step": 152, "ordinal_position": 153}, {"identifier": "G68", "position": [2, 1], "step": 153, "ordinal_position": 154}, {"identifier": "X42", "position": [3, 1], "step": 154, "ordinal_position": 155}, {"identifier": "Z66", "position": [4, 1], "step": 155, "ordinal_position": 156}, {"identifier": "B81", "position": [5, 1], "step": 156, "ordinal_position": 157}, {"identifier": "T74", "position": [5, 2], "step": 157, "ordinal_position": 158}, {"identifier": "U70", "position": [5, 3], "step": 158, "ordinal_position": 159}, {"identifier": "X31", "position": [5, 4], "step": 159, "ordinal_position": 160}, {"identifier": "U77", "position": [5, 5], "step": 160, "ordinal_position": 161}, {"identifier": "T80", "position": [4, 5], "step": 161, "ordinal_position": 162}, {"identifier": "L45", "position": [3, 5], "step": 162, "ordinal_position": 163}, {"identifier": "F09", "position": [3, 4], "step": 163, "ordinal_position": 164}, {"identifier": "G17", "position": [3, 3], "step": 164, "ordinal_position": 165}, {"identifier": "K56", "position": [2, 3], "step": 165, "ordinal_position": 166}, {"identifier": "Q81", "position": [1, 3], "step": 166, "ordinal_position": 167}, {"identifier": "N55", "position": [1, 2], "step": 167, "ordinal_position": 168}, {"identifier": "R00", "position": [1, 1], "step": 168, "ordinal_position": 169}, {"identifier": "G68", "position": [2, 1], "step": 169, "ordinal_position": 170}, {"identifier": "X42", "position": [3, 1], "step": 170, "ordinal_position": 171}, {"identifier": "Z66", "position": [4, 1], "step": 171, "ordinal_position": 172}, {"identifier": "B81", "position": [5, 1], "step": 172, "ordinal_position": 173}, {"identifier": "T74", "position": [5, 2], "step": 173, "ordinal_position": 174}, {"identifier": "U70", "position": [5, 3], "step": 174, "ordinal_position": 175}, {"identifier": "X31", "position": [5, 4], "step": 175, "ordinal_position": 176}, {"identifier": "U77", "position": [5, 5], "step": 176, "ordinal_position": 177}, {"identifier": "T80", "position": [4, 5], "step": 177, "ordinal_position": 178}, {"identifier": "L45", "position": [3, 5], "step": 178, "ordinal_position": 179}, {"identifier": "F09", "position": [3, 4], "step": 179, "ordinal_position": 180}, {"identifier": "G17", "position": [3, 3], "step": 180, "ordinal_position": 181}, {"identifier": "K56", "position": [2, 3], "step": 181, "ordinal_position": 182}, {"identifier": "Q81", "position": [1, 3], "step": 182, "ordinal_position": 183}, {"identifier": "N55", "position": [1, 2], "step": 183, "ordinal_position": 184}, {"identifier": "R00", "position": [1, 1], "step": 184, "ordinal_position": 185}, {"identifier": "G68", "position": [2, 1], "step": 185, "ordinal_position": 186}, {"identifier": "X42", "position": [3, 1], "step": 186, "ordinal_position": 187}, {"identifier": "Z66", "position": [4, 1], "step": 187, "ordinal_position": 188}, {"identifier": "B81", "position": [5, 1], "step": 188, "ordinal_position": 189}, {"identifier": "T74", "position": [5, 2], "step": 189, "ordinal_position": 190}, {"identifier": "U70", "position": [5, 3], "step": 190, "ordinal_position": 191}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 191, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_003.json"}} {"qa_id": "536d76e683234952acb2aae4d0d6ccdc", "image_id": "L3-MazeLoop-test_11x11_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y81, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 236th position in this traversal?", "start_object_id": "Y81", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [236], "ordinal_strings": ["236th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "B81", "traversal_path": [{"identifier": "Y81", "position": [3, 6], "step": 0, "ordinal_position": 1}, {"identifier": "L45", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "F09", "position": [3, 4], "step": 2, "ordinal_position": 3}, {"identifier": "G17", "position": [3, 3], "step": 3, "ordinal_position": 4}, {"identifier": "K56", "position": [2, 3], "step": 4, "ordinal_position": 5}, {"identifier": "Q81", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "N55", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "R00", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "G68", "position": [2, 1], "step": 8, "ordinal_position": 9}, {"identifier": "X42", "position": [3, 1], "step": 9, "ordinal_position": 10}, {"identifier": "Z66", "position": [4, 1], "step": 10, "ordinal_position": 11}, {"identifier": "B81", "position": [5, 1], "step": 11, "ordinal_position": 12}, {"identifier": "T74", "position": [5, 2], "step": 12, "ordinal_position": 13}, {"identifier": "U70", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "X31", "position": [5, 4], "step": 14, "ordinal_position": 15}, {"identifier": "U77", "position": [5, 5], "step": 15, "ordinal_position": 16}, {"identifier": "T80", "position": [4, 5], "step": 16, "ordinal_position": 17}, {"identifier": "L45", "position": [3, 5], "step": 17, "ordinal_position": 18}, {"identifier": "F09", "position": [3, 4], "step": 18, "ordinal_position": 19}, {"identifier": "G17", "position": [3, 3], "step": 19, "ordinal_position": 20}, {"identifier": "K56", "position": [2, 3], "step": 20, "ordinal_position": 21}, {"identifier": "Q81", "position": [1, 3], "step": 21, "ordinal_position": 22}, {"identifier": "N55", "position": [1, 2], "step": 22, "ordinal_position": 23}, {"identifier": "R00", "position": [1, 1], "step": 23, "ordinal_position": 24}, {"identifier": "G68", "position": [2, 1], "step": 24, "ordinal_position": 25}, {"identifier": "X42", "position": [3, 1], "step": 25, "ordinal_position": 26}, {"identifier": "Z66", "position": [4, 1], "step": 26, "ordinal_position": 27}, {"identifier": "B81", "position": [5, 1], "step": 27, "ordinal_position": 28}, {"identifier": "T74", "position": [5, 2], "step": 28, "ordinal_position": 29}, {"identifier": "U70", "position": [5, 3], "step": 29, "ordinal_position": 30}, {"identifier": "X31", "position": [5, 4], "step": 30, "ordinal_position": 31}, {"identifier": "U77", "position": [5, 5], "step": 31, "ordinal_position": 32}, {"identifier": "T80", "position": [4, 5], "step": 32, "ordinal_position": 33}, {"identifier": "L45", "position": [3, 5], "step": 33, "ordinal_position": 34}, {"identifier": "F09", "position": [3, 4], "step": 34, "ordinal_position": 35}, {"identifier": "G17", "position": [3, 3], "step": 35, "ordinal_position": 36}, {"identifier": "K56", "position": [2, 3], "step": 36, "ordinal_position": 37}, {"identifier": "Q81", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "N55", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "R00", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "G68", "position": [2, 1], "step": 40, "ordinal_position": 41}, {"identifier": "X42", "position": [3, 1], "step": 41, "ordinal_position": 42}, {"identifier": "Z66", "position": [4, 1], "step": 42, "ordinal_position": 43}, {"identifier": "B81", "position": [5, 1], "step": 43, "ordinal_position": 44}, {"identifier": "T74", "position": [5, 2], "step": 44, "ordinal_position": 45}, {"identifier": "U70", "position": [5, 3], "step": 45, "ordinal_position": 46}, {"identifier": "X31", "position": [5, 4], "step": 46, "ordinal_position": 47}, {"identifier": "U77", "position": [5, 5], "step": 47, "ordinal_position": 48}, {"identifier": "T80", "position": [4, 5], "step": 48, "ordinal_position": 49}, {"identifier": "L45", "position": [3, 5], "step": 49, "ordinal_position": 50}, {"identifier": "F09", "position": [3, 4], "step": 50, "ordinal_position": 51}, {"identifier": "G17", "position": [3, 3], "step": 51, "ordinal_position": 52}, {"identifier": "K56", "position": [2, 3], "step": 52, "ordinal_position": 53}, {"identifier": "Q81", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "N55", "position": [1, 2], "step": 54, "ordinal_position": 55}, {"identifier": "R00", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "G68", "position": [2, 1], "step": 56, "ordinal_position": 57}, {"identifier": "X42", "position": [3, 1], "step": 57, "ordinal_position": 58}, {"identifier": "Z66", "position": [4, 1], "step": 58, "ordinal_position": 59}, {"identifier": "B81", "position": [5, 1], "step": 59, "ordinal_position": 60}, {"identifier": "T74", "position": [5, 2], "step": 60, "ordinal_position": 61}, {"identifier": "U70", "position": [5, 3], "step": 61, "ordinal_position": 62}, {"identifier": "X31", "position": [5, 4], "step": 62, "ordinal_position": 63}, {"identifier": "U77", "position": [5, 5], "step": 63, "ordinal_position": 64}, {"identifier": "T80", "position": [4, 5], "step": 64, "ordinal_position": 65}, {"identifier": "L45", "position": [3, 5], "step": 65, "ordinal_position": 66}, {"identifier": "F09", "position": [3, 4], "step": 66, "ordinal_position": 67}, {"identifier": "G17", "position": [3, 3], "step": 67, "ordinal_position": 68}, {"identifier": "K56", "position": [2, 3], "step": 68, "ordinal_position": 69}, {"identifier": "Q81", "position": [1, 3], "step": 69, "ordinal_position": 70}, {"identifier": "N55", "position": [1, 2], "step": 70, "ordinal_position": 71}, {"identifier": "R00", "position": [1, 1], "step": 71, "ordinal_position": 72}, {"identifier": "G68", "position": [2, 1], "step": 72, "ordinal_position": 73}, {"identifier": "X42", "position": [3, 1], "step": 73, "ordinal_position": 74}, {"identifier": "Z66", "position": [4, 1], "step": 74, "ordinal_position": 75}, {"identifier": "B81", "position": [5, 1], "step": 75, "ordinal_position": 76}, {"identifier": "T74", "position": [5, 2], "step": 76, "ordinal_position": 77}, {"identifier": "U70", "position": [5, 3], "step": 77, "ordinal_position": 78}, {"identifier": "X31", "position": [5, 4], "step": 78, "ordinal_position": 79}, {"identifier": "U77", "position": [5, 5], "step": 79, "ordinal_position": 80}, {"identifier": "T80", "position": [4, 5], "step": 80, "ordinal_position": 81}, {"identifier": "L45", "position": [3, 5], "step": 81, "ordinal_position": 82}, {"identifier": "F09", "position": [3, 4], "step": 82, "ordinal_position": 83}, {"identifier": "G17", "position": [3, 3], "step": 83, "ordinal_position": 84}, {"identifier": "K56", "position": [2, 3], "step": 84, "ordinal_position": 85}, {"identifier": "Q81", "position": [1, 3], "step": 85, "ordinal_position": 86}, {"identifier": "N55", "position": [1, 2], "step": 86, "ordinal_position": 87}, {"identifier": "R00", "position": [1, 1], "step": 87, "ordinal_position": 88}, {"identifier": "G68", "position": [2, 1], "step": 88, "ordinal_position": 89}, {"identifier": "X42", "position": [3, 1], "step": 89, "ordinal_position": 90}, {"identifier": "Z66", "position": [4, 1], "step": 90, "ordinal_position": 91}, {"identifier": "B81", "position": [5, 1], "step": 91, "ordinal_position": 92}, {"identifier": "T74", "position": [5, 2], "step": 92, "ordinal_position": 93}, {"identifier": "U70", "position": [5, 3], "step": 93, "ordinal_position": 94}, {"identifier": "X31", "position": [5, 4], "step": 94, "ordinal_position": 95}, {"identifier": "U77", "position": [5, 5], "step": 95, "ordinal_position": 96}, {"identifier": "T80", "position": [4, 5], "step": 96, "ordinal_position": 97}, {"identifier": "L45", "position": [3, 5], "step": 97, "ordinal_position": 98}, {"identifier": "F09", "position": [3, 4], "step": 98, "ordinal_position": 99}, {"identifier": "G17", "position": [3, 3], "step": 99, "ordinal_position": 100}, {"identifier": "K56", "position": [2, 3], "step": 100, "ordinal_position": 101}, {"identifier": "Q81", "position": [1, 3], "step": 101, "ordinal_position": 102}, {"identifier": "N55", "position": [1, 2], "step": 102, "ordinal_position": 103}, {"identifier": "R00", "position": [1, 1], "step": 103, "ordinal_position": 104}, {"identifier": "G68", "position": [2, 1], "step": 104, "ordinal_position": 105}, {"identifier": "X42", "position": [3, 1], "step": 105, "ordinal_position": 106}, {"identifier": "Z66", "position": [4, 1], "step": 106, "ordinal_position": 107}, {"identifier": "B81", "position": [5, 1], "step": 107, "ordinal_position": 108}, {"identifier": "T74", "position": [5, 2], "step": 108, "ordinal_position": 109}, {"identifier": "U70", "position": [5, 3], "step": 109, "ordinal_position": 110}, {"identifier": "X31", "position": [5, 4], "step": 110, "ordinal_position": 111}, {"identifier": "U77", "position": [5, 5], "step": 111, "ordinal_position": 112}, {"identifier": "T80", "position": [4, 5], "step": 112, "ordinal_position": 113}, {"identifier": "L45", "position": [3, 5], "step": 113, "ordinal_position": 114}, {"identifier": "F09", "position": [3, 4], "step": 114, "ordinal_position": 115}, {"identifier": "G17", "position": [3, 3], "step": 115, "ordinal_position": 116}, {"identifier": "K56", "position": [2, 3], "step": 116, "ordinal_position": 117}, {"identifier": "Q81", "position": [1, 3], "step": 117, "ordinal_position": 118}, {"identifier": "N55", "position": [1, 2], "step": 118, "ordinal_position": 119}, {"identifier": "R00", "position": [1, 1], "step": 119, "ordinal_position": 120}, {"identifier": "G68", "position": [2, 1], "step": 120, "ordinal_position": 121}, {"identifier": "X42", "position": [3, 1], "step": 121, "ordinal_position": 122}, {"identifier": "Z66", "position": [4, 1], "step": 122, "ordinal_position": 123}, {"identifier": "B81", "position": [5, 1], "step": 123, "ordinal_position": 124}, {"identifier": "T74", "position": [5, 2], "step": 124, "ordinal_position": 125}, {"identifier": "U70", "position": [5, 3], "step": 125, "ordinal_position": 126}, {"identifier": "X31", "position": [5, 4], "step": 126, "ordinal_position": 127}, {"identifier": "U77", "position": [5, 5], "step": 127, "ordinal_position": 128}, {"identifier": "T80", "position": [4, 5], "step": 128, "ordinal_position": 129}, {"identifier": "L45", "position": [3, 5], "step": 129, "ordinal_position": 130}, {"identifier": "F09", "position": [3, 4], "step": 130, "ordinal_position": 131}, {"identifier": "G17", "position": [3, 3], "step": 131, "ordinal_position": 132}, {"identifier": "K56", "position": [2, 3], "step": 132, "ordinal_position": 133}, {"identifier": "Q81", "position": [1, 3], "step": 133, "ordinal_position": 134}, {"identifier": "N55", "position": [1, 2], "step": 134, "ordinal_position": 135}, {"identifier": "R00", "position": [1, 1], "step": 135, "ordinal_position": 136}, {"identifier": "G68", "position": [2, 1], "step": 136, "ordinal_position": 137}, {"identifier": "X42", "position": [3, 1], "step": 137, "ordinal_position": 138}, {"identifier": "Z66", "position": [4, 1], "step": 138, "ordinal_position": 139}, {"identifier": "B81", "position": [5, 1], "step": 139, "ordinal_position": 140}, {"identifier": "T74", "position": [5, 2], "step": 140, "ordinal_position": 141}, {"identifier": "U70", "position": [5, 3], "step": 141, "ordinal_position": 142}, {"identifier": "X31", "position": [5, 4], "step": 142, "ordinal_position": 143}, {"identifier": "U77", "position": [5, 5], "step": 143, "ordinal_position": 144}, {"identifier": "T80", "position": [4, 5], "step": 144, "ordinal_position": 145}, {"identifier": "L45", "position": [3, 5], "step": 145, "ordinal_position": 146}, {"identifier": "F09", "position": [3, 4], "step": 146, "ordinal_position": 147}, {"identifier": "G17", "position": [3, 3], "step": 147, "ordinal_position": 148}, {"identifier": "K56", "position": [2, 3], "step": 148, "ordinal_position": 149}, {"identifier": "Q81", "position": [1, 3], "step": 149, "ordinal_position": 150}, {"identifier": "N55", "position": [1, 2], "step": 150, "ordinal_position": 151}, {"identifier": "R00", "position": [1, 1], "step": 151, "ordinal_position": 152}, {"identifier": "G68", "position": [2, 1], "step": 152, "ordinal_position": 153}, {"identifier": "X42", "position": [3, 1], "step": 153, "ordinal_position": 154}, {"identifier": "Z66", "position": [4, 1], "step": 154, "ordinal_position": 155}, {"identifier": "B81", "position": [5, 1], "step": 155, "ordinal_position": 156}, {"identifier": "T74", "position": [5, 2], "step": 156, "ordinal_position": 157}, {"identifier": "U70", "position": [5, 3], "step": 157, "ordinal_position": 158}, {"identifier": "X31", "position": [5, 4], "step": 158, "ordinal_position": 159}, {"identifier": "U77", "position": [5, 5], "step": 159, "ordinal_position": 160}, {"identifier": "T80", "position": [4, 5], "step": 160, "ordinal_position": 161}, {"identifier": "L45", "position": [3, 5], "step": 161, "ordinal_position": 162}, {"identifier": "F09", "position": [3, 4], "step": 162, "ordinal_position": 163}, {"identifier": "G17", "position": [3, 3], "step": 163, "ordinal_position": 164}, {"identifier": "K56", "position": [2, 3], "step": 164, "ordinal_position": 165}, {"identifier": "Q81", "position": [1, 3], "step": 165, "ordinal_position": 166}, {"identifier": "N55", "position": [1, 2], "step": 166, "ordinal_position": 167}, {"identifier": "R00", "position": [1, 1], "step": 167, "ordinal_position": 168}, {"identifier": "G68", "position": [2, 1], "step": 168, "ordinal_position": 169}, {"identifier": "X42", "position": [3, 1], "step": 169, "ordinal_position": 170}, {"identifier": "Z66", "position": [4, 1], "step": 170, "ordinal_position": 171}, {"identifier": "B81", "position": [5, 1], "step": 171, "ordinal_position": 172}, {"identifier": "T74", "position": [5, 2], "step": 172, "ordinal_position": 173}, {"identifier": "U70", "position": [5, 3], "step": 173, "ordinal_position": 174}, {"identifier": "X31", "position": [5, 4], "step": 174, "ordinal_position": 175}, {"identifier": "U77", "position": [5, 5], "step": 175, "ordinal_position": 176}, {"identifier": "T80", "position": [4, 5], "step": 176, "ordinal_position": 177}, {"identifier": "L45", "position": [3, 5], "step": 177, "ordinal_position": 178}, {"identifier": "F09", "position": [3, 4], "step": 178, "ordinal_position": 179}, {"identifier": "G17", "position": [3, 3], "step": 179, "ordinal_position": 180}, {"identifier": "K56", "position": [2, 3], "step": 180, "ordinal_position": 181}, {"identifier": "Q81", "position": [1, 3], "step": 181, "ordinal_position": 182}, {"identifier": "N55", "position": [1, 2], "step": 182, "ordinal_position": 183}, {"identifier": "R00", "position": [1, 1], "step": 183, "ordinal_position": 184}, {"identifier": "G68", "position": [2, 1], "step": 184, "ordinal_position": 185}, {"identifier": "X42", "position": [3, 1], "step": 185, "ordinal_position": 186}, {"identifier": "Z66", "position": [4, 1], "step": 186, "ordinal_position": 187}, {"identifier": "B81", "position": [5, 1], "step": 187, "ordinal_position": 188}, {"identifier": "T74", "position": [5, 2], "step": 188, "ordinal_position": 189}, {"identifier": "U70", "position": [5, 3], "step": 189, "ordinal_position": 190}, {"identifier": "X31", "position": [5, 4], "step": 190, "ordinal_position": 191}, {"identifier": "U77", "position": [5, 5], "step": 191, "ordinal_position": 192}, {"identifier": "T80", "position": [4, 5], "step": 192, "ordinal_position": 193}, {"identifier": "L45", "position": [3, 5], "step": 193, "ordinal_position": 194}, {"identifier": "F09", "position": [3, 4], "step": 194, "ordinal_position": 195}, {"identifier": "G17", "position": [3, 3], "step": 195, "ordinal_position": 196}, {"identifier": "K56", "position": [2, 3], "step": 196, "ordinal_position": 197}, {"identifier": "Q81", "position": [1, 3], "step": 197, "ordinal_position": 198}, {"identifier": "N55", "position": [1, 2], "step": 198, "ordinal_position": 199}, {"identifier": "R00", "position": [1, 1], "step": 199, "ordinal_position": 200}, {"identifier": "G68", "position": [2, 1], "step": 200, "ordinal_position": 201}, {"identifier": "X42", "position": [3, 1], "step": 201, "ordinal_position": 202}, {"identifier": "Z66", "position": [4, 1], "step": 202, "ordinal_position": 203}, {"identifier": "B81", "position": [5, 1], "step": 203, "ordinal_position": 204}, {"identifier": "T74", "position": [5, 2], "step": 204, "ordinal_position": 205}, {"identifier": "U70", "position": [5, 3], "step": 205, "ordinal_position": 206}, {"identifier": "X31", "position": [5, 4], "step": 206, "ordinal_position": 207}, {"identifier": "U77", "position": [5, 5], "step": 207, "ordinal_position": 208}, {"identifier": "T80", "position": [4, 5], "step": 208, "ordinal_position": 209}, {"identifier": "L45", "position": [3, 5], "step": 209, "ordinal_position": 210}, {"identifier": "F09", "position": [3, 4], "step": 210, "ordinal_position": 211}, {"identifier": "G17", "position": [3, 3], "step": 211, "ordinal_position": 212}, {"identifier": "K56", "position": [2, 3], "step": 212, "ordinal_position": 213}, {"identifier": "Q81", "position": [1, 3], "step": 213, "ordinal_position": 214}, {"identifier": "N55", "position": [1, 2], "step": 214, "ordinal_position": 215}, {"identifier": "R00", "position": [1, 1], "step": 215, "ordinal_position": 216}, {"identifier": "G68", "position": [2, 1], "step": 216, "ordinal_position": 217}, {"identifier": "X42", "position": [3, 1], "step": 217, "ordinal_position": 218}, {"identifier": "Z66", "position": [4, 1], "step": 218, "ordinal_position": 219}, {"identifier": "B81", "position": [5, 1], "step": 219, "ordinal_position": 220}, {"identifier": "T74", "position": [5, 2], "step": 220, "ordinal_position": 221}, {"identifier": "U70", "position": [5, 3], "step": 221, "ordinal_position": 222}, {"identifier": "X31", "position": [5, 4], "step": 222, "ordinal_position": 223}, {"identifier": "U77", "position": [5, 5], "step": 223, "ordinal_position": 224}, {"identifier": "T80", "position": [4, 5], "step": 224, "ordinal_position": 225}, {"identifier": "L45", "position": [3, 5], "step": 225, "ordinal_position": 226}, {"identifier": "F09", "position": [3, 4], "step": 226, "ordinal_position": 227}, {"identifier": "G17", "position": [3, 3], "step": 227, "ordinal_position": 228}, {"identifier": "K56", "position": [2, 3], "step": 228, "ordinal_position": 229}, {"identifier": "Q81", "position": [1, 3], "step": 229, "ordinal_position": 230}, {"identifier": "N55", "position": [1, 2], "step": 230, "ordinal_position": 231}, {"identifier": "R00", "position": [1, 1], "step": 231, "ordinal_position": 232}, {"identifier": "G68", "position": [2, 1], "step": 232, "ordinal_position": 233}, {"identifier": "X42", "position": [3, 1], "step": 233, "ordinal_position": 234}, {"identifier": "Z66", "position": [4, 1], "step": 234, "ordinal_position": 235}, {"identifier": "B81", "position": [5, 1], "step": 235, "ordinal_position": 236}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 236, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_003.json"}} {"qa_id": "eade760948e34e9a82f6eba1338a047a", "image_id": "L3-MazeLoop-test_11x11_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z20, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "Z20", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "F94", "traversal_path": [{"identifier": "Z20", "position": [5, 9], "step": 0, "ordinal_position": 1}, {"identifier": "F94", "position": [6, 9], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 2, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_004.json"}} {"qa_id": "151ca312985d4dcfb65428a936e11e72", "image_id": "L3-MazeLoop-test_11x11_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R65, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 9th position in this traversal?", "start_object_id": "R65", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [9], "ordinal_strings": ["9th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "J72", "traversal_path": [{"identifier": "R65", "position": [3, 6], "step": 0, "ordinal_position": 1}, {"identifier": "Q90", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "I13", "position": [2, 5], "step": 2, "ordinal_position": 3}, {"identifier": "R35", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "S06", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "D32", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "I30", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "H52", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "J72", "position": [2, 1], "step": 8, "ordinal_position": 9}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 9, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_004.json"}} {"qa_id": "d31ae395ac814b1ebce4b45a25920dc1", "image_id": "L3-MazeLoop-test_11x11_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I13, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "I13", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "I30", "traversal_path": [{"identifier": "I13", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "R35", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "S06", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "D32", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "I30", "position": [1, 2], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 5, "direction": "left", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_004.json"}} {"qa_id": "609008cb7887477d93ca80a116cbc7df", "image_id": "L3-MazeLoop-test_11x11_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O04, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "O04", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q95", "traversal_path": [{"identifier": "O04", "position": [7, 5], "step": 0, "ordinal_position": 1}, {"identifier": "E13", "position": [7, 6], "step": 1, "ordinal_position": 2}, {"identifier": "Q95", "position": [7, 7], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 3, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_004.json"}} {"qa_id": "0447a703b933454289ec3edc1a923dd8", "image_id": "L3-MazeLoop-test_11x11_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S06, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "S06", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "H52", "traversal_path": [{"identifier": "S06", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "D32", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "I30", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "H52", "position": [1, 1], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 4, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_004.json"}} {"qa_id": "370bc68877dd4619aee62046ecf92087", "image_id": "L3-MazeLoop-test_11x11_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I30, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 14th position in this traversal?", "start_object_id": "I30", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [14], "ordinal_strings": ["14th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "B77", "traversal_path": [{"identifier": "I30", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "H52", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "J72", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "V89", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "H27", "position": [3, 2], "step": 4, "ordinal_position": 5}, {"identifier": "C52", "position": [3, 3], "step": 5, "ordinal_position": 6}, {"identifier": "D38", "position": [4, 3], "step": 6, "ordinal_position": 7}, {"identifier": "Y11", "position": [5, 3], "step": 7, "ordinal_position": 8}, {"identifier": "V25", "position": [5, 2], "step": 8, "ordinal_position": 9}, {"identifier": "J37", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "F00", "position": [6, 1], "step": 10, "ordinal_position": 11}, {"identifier": "N56", "position": [7, 1], "step": 11, "ordinal_position": 12}, {"identifier": "B75", "position": [8, 1], "step": 12, "ordinal_position": 13}, {"identifier": "B77", "position": [9, 1], "step": 13, "ordinal_position": 14}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 14, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_004.json"}} {"qa_id": "b776c3e7246d4c61a89ea15b454eceaf", "image_id": "L3-MazeLoop-test_11x11_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z65, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 70th position in this traversal?", "start_object_id": "Z65", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [70], "ordinal_strings": ["70th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Y53", "traversal_path": [{"identifier": "Z65", "position": [1, 8], "step": 0, "ordinal_position": 1}, {"identifier": "N25", "position": [1, 7], "step": 1, "ordinal_position": 2}, {"identifier": "L91", "position": [1, 6], "step": 2, "ordinal_position": 3}, {"identifier": "R35", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "S06", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "D32", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "I30", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "H52", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "J72", "position": [2, 1], "step": 8, "ordinal_position": 9}, {"identifier": "V89", "position": [3, 1], "step": 9, "ordinal_position": 10}, {"identifier": "H27", "position": [3, 2], "step": 10, "ordinal_position": 11}, {"identifier": "C52", "position": [3, 3], "step": 11, "ordinal_position": 12}, {"identifier": "D38", "position": [4, 3], "step": 12, "ordinal_position": 13}, {"identifier": "Y11", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "V25", "position": [5, 2], "step": 14, "ordinal_position": 15}, {"identifier": "J37", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "F00", "position": [6, 1], "step": 16, "ordinal_position": 17}, {"identifier": "N56", "position": [7, 1], "step": 17, "ordinal_position": 18}, {"identifier": "B75", "position": [8, 1], "step": 18, "ordinal_position": 19}, {"identifier": "B77", "position": [9, 1], "step": 19, "ordinal_position": 20}, {"identifier": "L48", "position": [9, 2], "step": 20, "ordinal_position": 21}, {"identifier": "O62", "position": [9, 3], "step": 21, "ordinal_position": 22}, {"identifier": "L80", "position": [9, 4], "step": 22, "ordinal_position": 23}, {"identifier": "O57", "position": [9, 5], "step": 23, "ordinal_position": 24}, {"identifier": "G60", "position": [8, 5], "step": 24, "ordinal_position": 25}, {"identifier": "O04", "position": [7, 5], "step": 25, "ordinal_position": 26}, {"identifier": "L31", "position": [6, 5], "step": 26, "ordinal_position": 27}, {"identifier": "S80", "position": [5, 5], "step": 27, "ordinal_position": 28}, {"identifier": "R85", "position": [5, 6], "step": 28, "ordinal_position": 29}, {"identifier": "T30", "position": [5, 7], "step": 29, "ordinal_position": 30}, {"identifier": "Z91", "position": [5, 8], "step": 30, "ordinal_position": 31}, {"identifier": "Z20", "position": [5, 9], "step": 31, "ordinal_position": 32}, {"identifier": "F94", "position": [6, 9], "step": 32, "ordinal_position": 33}, {"identifier": "N13", "position": [7, 9], "step": 33, "ordinal_position": 34}, {"identifier": "J55", "position": [8, 9], "step": 34, "ordinal_position": 35}, {"identifier": "S48", "position": [9, 9], "step": 35, "ordinal_position": 36}, {"identifier": "M49", "position": [9, 8], "step": 36, "ordinal_position": 37}, {"identifier": "Y53", "position": [9, 7], "step": 37, "ordinal_position": 38}, {"identifier": "S95", "position": [8, 7], "step": 38, "ordinal_position": 39}, {"identifier": "Q95", "position": [7, 7], "step": 39, "ordinal_position": 40}, {"identifier": "E13", "position": [7, 6], "step": 40, "ordinal_position": 41}, {"identifier": "O04", "position": [7, 5], "step": 41, "ordinal_position": 42}, {"identifier": "L31", "position": [6, 5], "step": 42, "ordinal_position": 43}, {"identifier": "S80", "position": [5, 5], "step": 43, "ordinal_position": 44}, {"identifier": "R85", "position": [5, 6], "step": 44, "ordinal_position": 45}, {"identifier": "T30", "position": [5, 7], "step": 45, "ordinal_position": 46}, {"identifier": "Z91", "position": [5, 8], "step": 46, "ordinal_position": 47}, {"identifier": "Z20", "position": [5, 9], "step": 47, "ordinal_position": 48}, {"identifier": "F94", "position": [6, 9], "step": 48, "ordinal_position": 49}, {"identifier": "N13", "position": [7, 9], "step": 49, "ordinal_position": 50}, {"identifier": "J55", "position": [8, 9], "step": 50, "ordinal_position": 51}, {"identifier": "S48", "position": [9, 9], "step": 51, "ordinal_position": 52}, {"identifier": "M49", "position": [9, 8], "step": 52, "ordinal_position": 53}, {"identifier": "Y53", "position": [9, 7], "step": 53, "ordinal_position": 54}, {"identifier": "S95", "position": [8, 7], "step": 54, "ordinal_position": 55}, {"identifier": "Q95", "position": [7, 7], "step": 55, "ordinal_position": 56}, {"identifier": "E13", "position": [7, 6], "step": 56, "ordinal_position": 57}, {"identifier": "O04", "position": [7, 5], "step": 57, "ordinal_position": 58}, {"identifier": "L31", "position": [6, 5], "step": 58, "ordinal_position": 59}, {"identifier": "S80", "position": [5, 5], "step": 59, "ordinal_position": 60}, {"identifier": "R85", "position": [5, 6], "step": 60, "ordinal_position": 61}, {"identifier": "T30", "position": [5, 7], "step": 61, "ordinal_position": 62}, {"identifier": "Z91", "position": [5, 8], "step": 62, "ordinal_position": 63}, {"identifier": "Z20", "position": [5, 9], "step": 63, "ordinal_position": 64}, {"identifier": "F94", "position": [6, 9], "step": 64, "ordinal_position": 65}, {"identifier": "N13", "position": [7, 9], "step": 65, "ordinal_position": 66}, {"identifier": "J55", "position": [8, 9], "step": 66, "ordinal_position": 67}, {"identifier": "S48", "position": [9, 9], "step": 67, "ordinal_position": 68}, {"identifier": "M49", "position": [9, 8], "step": 68, "ordinal_position": 69}, {"identifier": "Y53", "position": [9, 7], "step": 69, "ordinal_position": 70}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 70, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_004.json"}} {"qa_id": "1cfddaf0c6a44ea7ae7891c486bdce22", "image_id": "L3-MazeLoop-test_11x11_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F00, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 73rd position in this traversal?", "start_object_id": "F00", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [73], "ordinal_strings": ["73rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "G60", "traversal_path": [{"identifier": "F00", "position": [6, 1], "step": 0, "ordinal_position": 1}, {"identifier": "J37", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "V25", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "Y11", "position": [5, 3], "step": 3, "ordinal_position": 4}, {"identifier": "D38", "position": [4, 3], "step": 4, "ordinal_position": 5}, {"identifier": "C52", "position": [3, 3], "step": 5, "ordinal_position": 6}, {"identifier": "H27", "position": [3, 2], "step": 6, "ordinal_position": 7}, {"identifier": "V89", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "J72", "position": [2, 1], "step": 8, "ordinal_position": 9}, {"identifier": "H52", "position": [1, 1], "step": 9, "ordinal_position": 10}, {"identifier": "I30", "position": [1, 2], "step": 10, "ordinal_position": 11}, {"identifier": "D32", "position": [1, 3], "step": 11, "ordinal_position": 12}, {"identifier": "S06", "position": [1, 4], "step": 12, "ordinal_position": 13}, {"identifier": "R35", "position": [1, 5], "step": 13, "ordinal_position": 14}, {"identifier": "L91", "position": [1, 6], "step": 14, "ordinal_position": 15}, {"identifier": "N25", "position": [1, 7], "step": 15, "ordinal_position": 16}, {"identifier": "Z65", "position": [1, 8], "step": 16, "ordinal_position": 17}, {"identifier": "K63", "position": [1, 9], "step": 17, "ordinal_position": 18}, {"identifier": "I01", "position": [2, 9], "step": 18, "ordinal_position": 19}, {"identifier": "B05", "position": [3, 9], "step": 19, "ordinal_position": 20}, {"identifier": "C72", "position": [4, 9], "step": 20, "ordinal_position": 21}, {"identifier": "Z20", "position": [5, 9], "step": 21, "ordinal_position": 22}, {"identifier": "F94", "position": [6, 9], "step": 22, "ordinal_position": 23}, {"identifier": "N13", "position": [7, 9], "step": 23, "ordinal_position": 24}, {"identifier": "J55", "position": [8, 9], "step": 24, "ordinal_position": 25}, {"identifier": "S48", "position": [9, 9], "step": 25, "ordinal_position": 26}, {"identifier": "M49", "position": [9, 8], "step": 26, "ordinal_position": 27}, {"identifier": "Y53", "position": [9, 7], "step": 27, "ordinal_position": 28}, {"identifier": "S95", "position": [8, 7], "step": 28, "ordinal_position": 29}, {"identifier": "Q95", "position": [7, 7], "step": 29, "ordinal_position": 30}, {"identifier": "E13", "position": [7, 6], "step": 30, "ordinal_position": 31}, {"identifier": "O04", "position": [7, 5], "step": 31, "ordinal_position": 32}, {"identifier": "G60", "position": [8, 5], "step": 32, "ordinal_position": 33}, {"identifier": "O57", "position": [9, 5], "step": 33, "ordinal_position": 34}, {"identifier": "L80", "position": [9, 4], "step": 34, "ordinal_position": 35}, {"identifier": "O62", "position": [9, 3], "step": 35, "ordinal_position": 36}, {"identifier": "L48", "position": [9, 2], "step": 36, "ordinal_position": 37}, {"identifier": "B77", "position": [9, 1], "step": 37, "ordinal_position": 38}, {"identifier": "B75", "position": [8, 1], "step": 38, "ordinal_position": 39}, {"identifier": "N56", "position": [7, 1], "step": 39, "ordinal_position": 40}, {"identifier": "F00", "position": [6, 1], "step": 40, "ordinal_position": 41}, {"identifier": "J37", "position": [5, 1], "step": 41, "ordinal_position": 42}, {"identifier": "V25", "position": [5, 2], "step": 42, "ordinal_position": 43}, {"identifier": "Y11", "position": [5, 3], "step": 43, "ordinal_position": 44}, {"identifier": "D38", "position": [4, 3], "step": 44, "ordinal_position": 45}, {"identifier": "C52", "position": [3, 3], "step": 45, "ordinal_position": 46}, {"identifier": "H27", "position": [3, 2], "step": 46, "ordinal_position": 47}, {"identifier": "V89", "position": [3, 1], "step": 47, "ordinal_position": 48}, {"identifier": "J72", "position": [2, 1], "step": 48, "ordinal_position": 49}, {"identifier": "H52", "position": [1, 1], "step": 49, "ordinal_position": 50}, {"identifier": "I30", "position": [1, 2], "step": 50, "ordinal_position": 51}, {"identifier": "D32", "position": [1, 3], "step": 51, "ordinal_position": 52}, {"identifier": "S06", "position": [1, 4], "step": 52, "ordinal_position": 53}, {"identifier": "R35", "position": [1, 5], "step": 53, "ordinal_position": 54}, {"identifier": "L91", "position": [1, 6], "step": 54, "ordinal_position": 55}, {"identifier": "N25", "position": [1, 7], "step": 55, "ordinal_position": 56}, {"identifier": "Z65", "position": [1, 8], "step": 56, "ordinal_position": 57}, {"identifier": "K63", "position": [1, 9], "step": 57, "ordinal_position": 58}, {"identifier": "I01", "position": [2, 9], "step": 58, "ordinal_position": 59}, {"identifier": "B05", "position": [3, 9], "step": 59, "ordinal_position": 60}, {"identifier": "C72", "position": [4, 9], "step": 60, "ordinal_position": 61}, {"identifier": "Z20", "position": [5, 9], "step": 61, "ordinal_position": 62}, {"identifier": "F94", "position": [6, 9], "step": 62, "ordinal_position": 63}, {"identifier": "N13", "position": [7, 9], "step": 63, "ordinal_position": 64}, {"identifier": "J55", "position": [8, 9], "step": 64, "ordinal_position": 65}, {"identifier": "S48", "position": [9, 9], "step": 65, "ordinal_position": 66}, {"identifier": "M49", "position": [9, 8], "step": 66, "ordinal_position": 67}, {"identifier": "Y53", "position": [9, 7], "step": 67, "ordinal_position": 68}, {"identifier": "S95", "position": [8, 7], "step": 68, "ordinal_position": 69}, {"identifier": "Q95", "position": [7, 7], "step": 69, "ordinal_position": 70}, {"identifier": "E13", "position": [7, 6], "step": 70, "ordinal_position": 71}, {"identifier": "O04", "position": [7, 5], "step": 71, "ordinal_position": 72}, {"identifier": "G60", "position": [8, 5], "step": 72, "ordinal_position": 73}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 73, "direction": "left", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_004.json"}} {"qa_id": "a414c90942a4421491d7ce567d9cf6b9", "image_id": "L3-MazeLoop-test_11x11_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D32, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 58th position in this traversal?", "start_object_id": "D32", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [58], "ordinal_strings": ["58th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "L31", "traversal_path": [{"identifier": "D32", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "I30", "position": [1, 2], "step": 1, "ordinal_position": 2}, {"identifier": "H52", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "J72", "position": [2, 1], "step": 3, "ordinal_position": 4}, {"identifier": "V89", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "H27", "position": [3, 2], "step": 5, "ordinal_position": 6}, {"identifier": "C52", "position": [3, 3], "step": 6, "ordinal_position": 7}, {"identifier": "D38", "position": [4, 3], "step": 7, "ordinal_position": 8}, {"identifier": "Y11", "position": [5, 3], "step": 8, "ordinal_position": 9}, {"identifier": "V25", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "J37", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "F00", "position": [6, 1], "step": 11, "ordinal_position": 12}, {"identifier": "N56", "position": [7, 1], "step": 12, "ordinal_position": 13}, {"identifier": "B75", "position": [8, 1], "step": 13, "ordinal_position": 14}, {"identifier": "B77", "position": [9, 1], "step": 14, "ordinal_position": 15}, {"identifier": "L48", "position": [9, 2], "step": 15, "ordinal_position": 16}, {"identifier": "O62", "position": [9, 3], "step": 16, "ordinal_position": 17}, {"identifier": "L80", "position": [9, 4], "step": 17, "ordinal_position": 18}, {"identifier": "O57", "position": [9, 5], "step": 18, "ordinal_position": 19}, {"identifier": "G60", "position": [8, 5], "step": 19, "ordinal_position": 20}, {"identifier": "O04", "position": [7, 5], "step": 20, "ordinal_position": 21}, {"identifier": "L31", "position": [6, 5], "step": 21, "ordinal_position": 22}, {"identifier": "S80", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "R85", "position": [5, 6], "step": 23, "ordinal_position": 24}, {"identifier": "T30", "position": [5, 7], "step": 24, "ordinal_position": 25}, {"identifier": "Z91", "position": [5, 8], "step": 25, "ordinal_position": 26}, {"identifier": "Z20", "position": [5, 9], "step": 26, "ordinal_position": 27}, {"identifier": "C72", "position": [4, 9], "step": 27, "ordinal_position": 28}, {"identifier": "B05", "position": [3, 9], "step": 28, "ordinal_position": 29}, {"identifier": "I01", "position": [2, 9], "step": 29, "ordinal_position": 30}, {"identifier": "K63", "position": [1, 9], "step": 30, "ordinal_position": 31}, {"identifier": "Z65", "position": [1, 8], "step": 31, "ordinal_position": 32}, {"identifier": "N25", "position": [1, 7], "step": 32, "ordinal_position": 33}, {"identifier": "L91", "position": [1, 6], "step": 33, "ordinal_position": 34}, {"identifier": "R35", "position": [1, 5], "step": 34, "ordinal_position": 35}, {"identifier": "S06", "position": [1, 4], "step": 35, "ordinal_position": 36}, {"identifier": "D32", "position": [1, 3], "step": 36, "ordinal_position": 37}, {"identifier": "I30", "position": [1, 2], "step": 37, "ordinal_position": 38}, {"identifier": "H52", "position": [1, 1], "step": 38, "ordinal_position": 39}, {"identifier": "J72", "position": [2, 1], "step": 39, "ordinal_position": 40}, {"identifier": "V89", "position": [3, 1], "step": 40, "ordinal_position": 41}, {"identifier": "H27", "position": [3, 2], "step": 41, "ordinal_position": 42}, {"identifier": "C52", "position": [3, 3], "step": 42, "ordinal_position": 43}, {"identifier": "D38", "position": [4, 3], "step": 43, "ordinal_position": 44}, {"identifier": "Y11", "position": [5, 3], "step": 44, "ordinal_position": 45}, {"identifier": "V25", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "J37", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "F00", "position": [6, 1], "step": 47, "ordinal_position": 48}, {"identifier": "N56", "position": [7, 1], "step": 48, "ordinal_position": 49}, {"identifier": "B75", "position": [8, 1], "step": 49, "ordinal_position": 50}, {"identifier": "B77", "position": [9, 1], "step": 50, "ordinal_position": 51}, {"identifier": "L48", "position": [9, 2], "step": 51, "ordinal_position": 52}, {"identifier": "O62", "position": [9, 3], "step": 52, "ordinal_position": 53}, {"identifier": "L80", "position": [9, 4], "step": 53, "ordinal_position": 54}, {"identifier": "O57", "position": [9, 5], "step": 54, "ordinal_position": 55}, {"identifier": "G60", "position": [8, 5], "step": 55, "ordinal_position": 56}, {"identifier": "O04", "position": [7, 5], "step": 56, "ordinal_position": 57}, {"identifier": "L31", "position": [6, 5], "step": 57, "ordinal_position": 58}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 58, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_004.json"}} {"qa_id": "3518d2c4caf64511b3e46b7469099f10", "image_id": "L3-MazeLoop-test_11x11_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L31, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 12th position in this traversal?", "start_object_id": "L31", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [12], "ordinal_strings": ["12th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "J37", "traversal_path": [{"identifier": "L31", "position": [6, 5], "step": 0, "ordinal_position": 1}, {"identifier": "O04", "position": [7, 5], "step": 1, "ordinal_position": 2}, {"identifier": "G60", "position": [8, 5], "step": 2, "ordinal_position": 3}, {"identifier": "O57", "position": [9, 5], "step": 3, "ordinal_position": 4}, {"identifier": "L80", "position": [9, 4], "step": 4, "ordinal_position": 5}, {"identifier": "O62", "position": [9, 3], "step": 5, "ordinal_position": 6}, {"identifier": "L48", "position": [9, 2], "step": 6, "ordinal_position": 7}, {"identifier": "B77", "position": [9, 1], "step": 7, "ordinal_position": 8}, {"identifier": "B75", "position": [8, 1], "step": 8, "ordinal_position": 9}, {"identifier": "N56", "position": [7, 1], "step": 9, "ordinal_position": 10}, {"identifier": "F00", "position": [6, 1], "step": 10, "ordinal_position": 11}, {"identifier": "J37", "position": [5, 1], "step": 11, "ordinal_position": 12}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 12, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_004.json"}} {"qa_id": "b7db2262d85b4a3eadd638c468fa33ce", "image_id": "L3-MazeLoop-test_11x11_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q90, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 162nd position in this traversal?", "start_object_id": "Q90", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [162], "ordinal_strings": ["162nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "S95", "traversal_path": [{"identifier": "Q90", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "I13", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "R35", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "L91", "position": [1, 6], "step": 3, "ordinal_position": 4}, {"identifier": "N25", "position": [1, 7], "step": 4, "ordinal_position": 5}, {"identifier": "Z65", "position": [1, 8], "step": 5, "ordinal_position": 6}, {"identifier": "K63", "position": [1, 9], "step": 6, "ordinal_position": 7}, {"identifier": "I01", "position": [2, 9], "step": 7, "ordinal_position": 8}, {"identifier": "B05", "position": [3, 9], "step": 8, "ordinal_position": 9}, {"identifier": "C72", "position": [4, 9], "step": 9, "ordinal_position": 10}, {"identifier": "Z20", "position": [5, 9], "step": 10, "ordinal_position": 11}, {"identifier": "F94", "position": [6, 9], "step": 11, "ordinal_position": 12}, {"identifier": "N13", "position": [7, 9], "step": 12, "ordinal_position": 13}, {"identifier": "J55", "position": [8, 9], "step": 13, "ordinal_position": 14}, {"identifier": "S48", "position": [9, 9], "step": 14, "ordinal_position": 15}, {"identifier": "M49", "position": [9, 8], "step": 15, "ordinal_position": 16}, {"identifier": "Y53", "position": [9, 7], "step": 16, "ordinal_position": 17}, {"identifier": "S95", "position": [8, 7], "step": 17, "ordinal_position": 18}, {"identifier": "Q95", "position": [7, 7], "step": 18, "ordinal_position": 19}, {"identifier": "E13", "position": [7, 6], "step": 19, "ordinal_position": 20}, {"identifier": "O04", "position": [7, 5], "step": 20, "ordinal_position": 21}, {"identifier": "L31", "position": [6, 5], "step": 21, "ordinal_position": 22}, {"identifier": "S80", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "R85", "position": [5, 6], "step": 23, "ordinal_position": 24}, {"identifier": "T30", "position": [5, 7], "step": 24, "ordinal_position": 25}, {"identifier": "Z91", "position": [5, 8], "step": 25, "ordinal_position": 26}, {"identifier": "Z20", "position": [5, 9], "step": 26, "ordinal_position": 27}, {"identifier": "F94", "position": [6, 9], "step": 27, "ordinal_position": 28}, {"identifier": "N13", "position": [7, 9], "step": 28, "ordinal_position": 29}, {"identifier": "J55", "position": [8, 9], "step": 29, "ordinal_position": 30}, {"identifier": "S48", "position": [9, 9], "step": 30, "ordinal_position": 31}, {"identifier": "M49", "position": [9, 8], "step": 31, "ordinal_position": 32}, {"identifier": "Y53", "position": [9, 7], "step": 32, "ordinal_position": 33}, {"identifier": "S95", "position": [8, 7], "step": 33, "ordinal_position": 34}, {"identifier": "Q95", "position": [7, 7], "step": 34, "ordinal_position": 35}, {"identifier": "E13", "position": [7, 6], "step": 35, "ordinal_position": 36}, {"identifier": "O04", "position": [7, 5], "step": 36, "ordinal_position": 37}, {"identifier": "L31", "position": [6, 5], "step": 37, "ordinal_position": 38}, {"identifier": "S80", "position": [5, 5], "step": 38, "ordinal_position": 39}, {"identifier": "R85", "position": [5, 6], "step": 39, "ordinal_position": 40}, {"identifier": "T30", "position": [5, 7], "step": 40, "ordinal_position": 41}, {"identifier": "Z91", "position": [5, 8], "step": 41, "ordinal_position": 42}, {"identifier": "Z20", "position": [5, 9], "step": 42, "ordinal_position": 43}, {"identifier": "F94", "position": [6, 9], "step": 43, "ordinal_position": 44}, {"identifier": "N13", "position": [7, 9], "step": 44, "ordinal_position": 45}, {"identifier": "J55", "position": [8, 9], "step": 45, "ordinal_position": 46}, {"identifier": "S48", "position": [9, 9], "step": 46, "ordinal_position": 47}, {"identifier": "M49", "position": [9, 8], "step": 47, "ordinal_position": 48}, {"identifier": "Y53", "position": [9, 7], "step": 48, "ordinal_position": 49}, {"identifier": "S95", "position": [8, 7], "step": 49, "ordinal_position": 50}, {"identifier": "Q95", "position": [7, 7], "step": 50, "ordinal_position": 51}, {"identifier": "E13", "position": [7, 6], "step": 51, "ordinal_position": 52}, {"identifier": "O04", "position": [7, 5], "step": 52, "ordinal_position": 53}, {"identifier": "L31", "position": [6, 5], "step": 53, "ordinal_position": 54}, {"identifier": "S80", "position": [5, 5], "step": 54, "ordinal_position": 55}, {"identifier": "R85", "position": [5, 6], "step": 55, "ordinal_position": 56}, {"identifier": "T30", "position": [5, 7], "step": 56, "ordinal_position": 57}, {"identifier": "Z91", "position": [5, 8], "step": 57, "ordinal_position": 58}, {"identifier": "Z20", "position": [5, 9], "step": 58, "ordinal_position": 59}, {"identifier": "F94", "position": [6, 9], "step": 59, "ordinal_position": 60}, {"identifier": "N13", "position": [7, 9], "step": 60, "ordinal_position": 61}, {"identifier": "J55", "position": [8, 9], "step": 61, "ordinal_position": 62}, {"identifier": "S48", "position": [9, 9], "step": 62, "ordinal_position": 63}, {"identifier": "M49", "position": [9, 8], "step": 63, "ordinal_position": 64}, {"identifier": "Y53", "position": [9, 7], "step": 64, "ordinal_position": 65}, {"identifier": "S95", "position": [8, 7], "step": 65, "ordinal_position": 66}, {"identifier": "Q95", "position": [7, 7], "step": 66, "ordinal_position": 67}, {"identifier": "E13", "position": [7, 6], "step": 67, "ordinal_position": 68}, {"identifier": "O04", "position": [7, 5], "step": 68, "ordinal_position": 69}, {"identifier": "L31", "position": [6, 5], "step": 69, "ordinal_position": 70}, {"identifier": "S80", "position": [5, 5], "step": 70, "ordinal_position": 71}, {"identifier": "R85", "position": [5, 6], "step": 71, "ordinal_position": 72}, {"identifier": "T30", "position": [5, 7], "step": 72, "ordinal_position": 73}, {"identifier": "Z91", "position": [5, 8], "step": 73, "ordinal_position": 74}, {"identifier": "Z20", "position": [5, 9], "step": 74, "ordinal_position": 75}, {"identifier": "F94", "position": [6, 9], "step": 75, "ordinal_position": 76}, {"identifier": "N13", "position": [7, 9], "step": 76, "ordinal_position": 77}, {"identifier": "J55", "position": [8, 9], "step": 77, "ordinal_position": 78}, {"identifier": "S48", "position": [9, 9], "step": 78, "ordinal_position": 79}, {"identifier": "M49", "position": [9, 8], "step": 79, "ordinal_position": 80}, {"identifier": "Y53", "position": [9, 7], "step": 80, "ordinal_position": 81}, {"identifier": "S95", "position": [8, 7], "step": 81, "ordinal_position": 82}, {"identifier": "Q95", "position": [7, 7], "step": 82, "ordinal_position": 83}, {"identifier": "E13", "position": [7, 6], "step": 83, "ordinal_position": 84}, {"identifier": "O04", "position": [7, 5], "step": 84, "ordinal_position": 85}, {"identifier": "L31", "position": [6, 5], "step": 85, "ordinal_position": 86}, {"identifier": "S80", "position": [5, 5], "step": 86, "ordinal_position": 87}, {"identifier": "R85", "position": [5, 6], "step": 87, "ordinal_position": 88}, {"identifier": "T30", "position": [5, 7], "step": 88, "ordinal_position": 89}, {"identifier": "Z91", "position": [5, 8], "step": 89, "ordinal_position": 90}, {"identifier": "Z20", "position": [5, 9], "step": 90, "ordinal_position": 91}, {"identifier": "F94", "position": [6, 9], "step": 91, "ordinal_position": 92}, {"identifier": "N13", "position": [7, 9], "step": 92, "ordinal_position": 93}, {"identifier": "J55", "position": [8, 9], "step": 93, "ordinal_position": 94}, {"identifier": "S48", "position": [9, 9], "step": 94, "ordinal_position": 95}, {"identifier": "M49", "position": [9, 8], "step": 95, "ordinal_position": 96}, {"identifier": "Y53", "position": [9, 7], "step": 96, "ordinal_position": 97}, {"identifier": "S95", "position": [8, 7], "step": 97, "ordinal_position": 98}, {"identifier": "Q95", "position": [7, 7], "step": 98, "ordinal_position": 99}, {"identifier": "E13", "position": [7, 6], "step": 99, "ordinal_position": 100}, {"identifier": "O04", "position": [7, 5], "step": 100, "ordinal_position": 101}, {"identifier": "L31", "position": [6, 5], "step": 101, "ordinal_position": 102}, {"identifier": "S80", "position": [5, 5], "step": 102, "ordinal_position": 103}, {"identifier": "R85", "position": [5, 6], "step": 103, "ordinal_position": 104}, {"identifier": "T30", "position": [5, 7], "step": 104, "ordinal_position": 105}, {"identifier": "Z91", "position": [5, 8], "step": 105, "ordinal_position": 106}, {"identifier": "Z20", "position": [5, 9], "step": 106, "ordinal_position": 107}, {"identifier": "F94", "position": [6, 9], "step": 107, "ordinal_position": 108}, {"identifier": "N13", "position": [7, 9], "step": 108, "ordinal_position": 109}, {"identifier": "J55", "position": [8, 9], "step": 109, "ordinal_position": 110}, {"identifier": "S48", "position": [9, 9], "step": 110, "ordinal_position": 111}, {"identifier": "M49", "position": [9, 8], "step": 111, "ordinal_position": 112}, {"identifier": "Y53", "position": [9, 7], "step": 112, "ordinal_position": 113}, {"identifier": "S95", "position": [8, 7], "step": 113, "ordinal_position": 114}, {"identifier": "Q95", "position": [7, 7], "step": 114, "ordinal_position": 115}, {"identifier": "E13", "position": [7, 6], "step": 115, "ordinal_position": 116}, {"identifier": "O04", "position": [7, 5], "step": 116, "ordinal_position": 117}, {"identifier": "L31", "position": [6, 5], "step": 117, "ordinal_position": 118}, {"identifier": "S80", "position": [5, 5], "step": 118, "ordinal_position": 119}, {"identifier": "R85", "position": [5, 6], "step": 119, "ordinal_position": 120}, {"identifier": "T30", "position": [5, 7], "step": 120, "ordinal_position": 121}, {"identifier": "Z91", "position": [5, 8], "step": 121, "ordinal_position": 122}, {"identifier": "Z20", "position": [5, 9], "step": 122, "ordinal_position": 123}, {"identifier": "F94", "position": [6, 9], "step": 123, "ordinal_position": 124}, {"identifier": "N13", "position": [7, 9], "step": 124, "ordinal_position": 125}, {"identifier": "J55", "position": [8, 9], "step": 125, "ordinal_position": 126}, {"identifier": "S48", "position": [9, 9], "step": 126, "ordinal_position": 127}, {"identifier": "M49", "position": [9, 8], "step": 127, "ordinal_position": 128}, {"identifier": "Y53", "position": [9, 7], "step": 128, "ordinal_position": 129}, {"identifier": "S95", "position": [8, 7], "step": 129, "ordinal_position": 130}, {"identifier": "Q95", "position": [7, 7], "step": 130, "ordinal_position": 131}, {"identifier": "E13", "position": [7, 6], "step": 131, "ordinal_position": 132}, {"identifier": "O04", "position": [7, 5], "step": 132, "ordinal_position": 133}, {"identifier": "L31", "position": [6, 5], "step": 133, "ordinal_position": 134}, {"identifier": "S80", "position": [5, 5], "step": 134, "ordinal_position": 135}, {"identifier": "R85", "position": [5, 6], "step": 135, "ordinal_position": 136}, {"identifier": "T30", "position": [5, 7], "step": 136, "ordinal_position": 137}, {"identifier": "Z91", "position": [5, 8], "step": 137, "ordinal_position": 138}, {"identifier": "Z20", "position": [5, 9], "step": 138, "ordinal_position": 139}, {"identifier": "F94", "position": [6, 9], "step": 139, "ordinal_position": 140}, {"identifier": "N13", "position": [7, 9], "step": 140, "ordinal_position": 141}, {"identifier": "J55", "position": [8, 9], "step": 141, "ordinal_position": 142}, {"identifier": "S48", "position": [9, 9], "step": 142, "ordinal_position": 143}, {"identifier": "M49", "position": [9, 8], "step": 143, "ordinal_position": 144}, {"identifier": "Y53", "position": [9, 7], "step": 144, "ordinal_position": 145}, {"identifier": "S95", "position": [8, 7], "step": 145, "ordinal_position": 146}, {"identifier": "Q95", "position": [7, 7], "step": 146, "ordinal_position": 147}, {"identifier": "E13", "position": [7, 6], "step": 147, "ordinal_position": 148}, {"identifier": "O04", "position": [7, 5], "step": 148, "ordinal_position": 149}, {"identifier": "L31", "position": [6, 5], "step": 149, "ordinal_position": 150}, {"identifier": "S80", "position": [5, 5], "step": 150, "ordinal_position": 151}, {"identifier": "R85", "position": [5, 6], "step": 151, "ordinal_position": 152}, {"identifier": "T30", "position": [5, 7], "step": 152, "ordinal_position": 153}, {"identifier": "Z91", "position": [5, 8], "step": 153, "ordinal_position": 154}, {"identifier": "Z20", "position": [5, 9], "step": 154, "ordinal_position": 155}, {"identifier": "F94", "position": [6, 9], "step": 155, "ordinal_position": 156}, {"identifier": "N13", "position": [7, 9], "step": 156, "ordinal_position": 157}, {"identifier": "J55", "position": [8, 9], "step": 157, "ordinal_position": 158}, {"identifier": "S48", "position": [9, 9], "step": 158, "ordinal_position": 159}, {"identifier": "M49", "position": [9, 8], "step": 159, "ordinal_position": 160}, {"identifier": "Y53", "position": [9, 7], "step": 160, "ordinal_position": 161}, {"identifier": "S95", "position": [8, 7], "step": 161, "ordinal_position": 162}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 162, "direction": "left", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_004.json"}} {"qa_id": "74acd2c9f0c1472d8a209d409d24bd14", "image_id": "L3-MazeLoop-test_11x11_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H27, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 104th position in this traversal?", "start_object_id": "H27", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [104], "ordinal_strings": ["104th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q95", "traversal_path": [{"identifier": "H27", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "V89", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "J72", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "H52", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "I30", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "D32", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "S06", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "R35", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "L91", "position": [1, 6], "step": 8, "ordinal_position": 9}, {"identifier": "N25", "position": [1, 7], "step": 9, "ordinal_position": 10}, {"identifier": "Z65", "position": [1, 8], "step": 10, "ordinal_position": 11}, {"identifier": "K63", "position": [1, 9], "step": 11, "ordinal_position": 12}, {"identifier": "I01", "position": [2, 9], "step": 12, "ordinal_position": 13}, {"identifier": "B05", "position": [3, 9], "step": 13, "ordinal_position": 14}, {"identifier": "C72", "position": [4, 9], "step": 14, "ordinal_position": 15}, {"identifier": "Z20", "position": [5, 9], "step": 15, "ordinal_position": 16}, {"identifier": "F94", "position": [6, 9], "step": 16, "ordinal_position": 17}, {"identifier": "N13", "position": [7, 9], "step": 17, "ordinal_position": 18}, {"identifier": "J55", "position": [8, 9], "step": 18, "ordinal_position": 19}, {"identifier": "S48", "position": [9, 9], "step": 19, "ordinal_position": 20}, {"identifier": "M49", "position": [9, 8], "step": 20, "ordinal_position": 21}, {"identifier": "Y53", "position": [9, 7], "step": 21, "ordinal_position": 22}, {"identifier": "S95", "position": [8, 7], "step": 22, "ordinal_position": 23}, {"identifier": "Q95", "position": [7, 7], "step": 23, "ordinal_position": 24}, {"identifier": "E13", "position": [7, 6], "step": 24, "ordinal_position": 25}, {"identifier": "O04", "position": [7, 5], "step": 25, "ordinal_position": 26}, {"identifier": "L31", "position": [6, 5], "step": 26, "ordinal_position": 27}, {"identifier": "S80", "position": [5, 5], "step": 27, "ordinal_position": 28}, {"identifier": "R85", "position": [5, 6], "step": 28, "ordinal_position": 29}, {"identifier": "T30", "position": [5, 7], "step": 29, "ordinal_position": 30}, {"identifier": "Z91", "position": [5, 8], "step": 30, "ordinal_position": 31}, {"identifier": "Z20", "position": [5, 9], "step": 31, "ordinal_position": 32}, {"identifier": "F94", "position": [6, 9], "step": 32, "ordinal_position": 33}, {"identifier": "N13", "position": [7, 9], "step": 33, "ordinal_position": 34}, {"identifier": "J55", "position": [8, 9], "step": 34, "ordinal_position": 35}, {"identifier": "S48", "position": [9, 9], "step": 35, "ordinal_position": 36}, {"identifier": "M49", "position": [9, 8], "step": 36, "ordinal_position": 37}, {"identifier": "Y53", "position": [9, 7], "step": 37, "ordinal_position": 38}, {"identifier": "S95", "position": [8, 7], "step": 38, "ordinal_position": 39}, {"identifier": "Q95", "position": [7, 7], "step": 39, "ordinal_position": 40}, {"identifier": "E13", "position": [7, 6], "step": 40, "ordinal_position": 41}, {"identifier": "O04", "position": [7, 5], "step": 41, "ordinal_position": 42}, {"identifier": "L31", "position": [6, 5], "step": 42, "ordinal_position": 43}, {"identifier": "S80", "position": [5, 5], "step": 43, "ordinal_position": 44}, {"identifier": "R85", "position": [5, 6], "step": 44, "ordinal_position": 45}, {"identifier": "T30", "position": [5, 7], "step": 45, "ordinal_position": 46}, {"identifier": "Z91", "position": [5, 8], "step": 46, "ordinal_position": 47}, {"identifier": "Z20", "position": [5, 9], "step": 47, "ordinal_position": 48}, {"identifier": "F94", "position": [6, 9], "step": 48, "ordinal_position": 49}, {"identifier": "N13", "position": [7, 9], "step": 49, "ordinal_position": 50}, {"identifier": "J55", "position": [8, 9], "step": 50, "ordinal_position": 51}, {"identifier": "S48", "position": [9, 9], "step": 51, "ordinal_position": 52}, {"identifier": "M49", "position": [9, 8], "step": 52, "ordinal_position": 53}, {"identifier": "Y53", "position": [9, 7], "step": 53, "ordinal_position": 54}, {"identifier": "S95", "position": [8, 7], "step": 54, "ordinal_position": 55}, {"identifier": "Q95", "position": [7, 7], "step": 55, "ordinal_position": 56}, {"identifier": "E13", "position": [7, 6], "step": 56, "ordinal_position": 57}, {"identifier": "O04", "position": [7, 5], "step": 57, "ordinal_position": 58}, {"identifier": "L31", "position": [6, 5], "step": 58, "ordinal_position": 59}, {"identifier": "S80", "position": [5, 5], "step": 59, "ordinal_position": 60}, {"identifier": "R85", "position": [5, 6], "step": 60, "ordinal_position": 61}, {"identifier": "T30", "position": [5, 7], "step": 61, "ordinal_position": 62}, {"identifier": "Z91", "position": [5, 8], "step": 62, "ordinal_position": 63}, {"identifier": "Z20", "position": [5, 9], "step": 63, "ordinal_position": 64}, {"identifier": "F94", "position": [6, 9], "step": 64, "ordinal_position": 65}, {"identifier": "N13", "position": [7, 9], "step": 65, "ordinal_position": 66}, {"identifier": "J55", "position": [8, 9], "step": 66, "ordinal_position": 67}, {"identifier": "S48", "position": [9, 9], "step": 67, "ordinal_position": 68}, {"identifier": "M49", "position": [9, 8], "step": 68, "ordinal_position": 69}, {"identifier": "Y53", "position": [9, 7], "step": 69, "ordinal_position": 70}, {"identifier": "S95", "position": [8, 7], "step": 70, "ordinal_position": 71}, {"identifier": "Q95", "position": [7, 7], "step": 71, "ordinal_position": 72}, {"identifier": "E13", "position": [7, 6], "step": 72, "ordinal_position": 73}, {"identifier": "O04", "position": [7, 5], "step": 73, "ordinal_position": 74}, {"identifier": "L31", "position": [6, 5], "step": 74, "ordinal_position": 75}, {"identifier": "S80", "position": [5, 5], "step": 75, "ordinal_position": 76}, {"identifier": "R85", "position": [5, 6], "step": 76, "ordinal_position": 77}, {"identifier": "T30", "position": [5, 7], "step": 77, "ordinal_position": 78}, {"identifier": "Z91", "position": [5, 8], "step": 78, "ordinal_position": 79}, {"identifier": "Z20", "position": [5, 9], "step": 79, "ordinal_position": 80}, {"identifier": "F94", "position": [6, 9], "step": 80, "ordinal_position": 81}, {"identifier": "N13", "position": [7, 9], "step": 81, "ordinal_position": 82}, {"identifier": "J55", "position": [8, 9], "step": 82, "ordinal_position": 83}, {"identifier": "S48", "position": [9, 9], "step": 83, "ordinal_position": 84}, {"identifier": "M49", "position": [9, 8], "step": 84, "ordinal_position": 85}, {"identifier": "Y53", "position": [9, 7], "step": 85, "ordinal_position": 86}, {"identifier": "S95", "position": [8, 7], "step": 86, "ordinal_position": 87}, {"identifier": "Q95", "position": [7, 7], "step": 87, "ordinal_position": 88}, {"identifier": "E13", "position": [7, 6], "step": 88, "ordinal_position": 89}, {"identifier": "O04", "position": [7, 5], "step": 89, "ordinal_position": 90}, {"identifier": "L31", "position": [6, 5], "step": 90, "ordinal_position": 91}, {"identifier": "S80", "position": [5, 5], "step": 91, "ordinal_position": 92}, {"identifier": "R85", "position": [5, 6], "step": 92, "ordinal_position": 93}, {"identifier": "T30", "position": [5, 7], "step": 93, "ordinal_position": 94}, {"identifier": "Z91", "position": [5, 8], "step": 94, "ordinal_position": 95}, {"identifier": "Z20", "position": [5, 9], "step": 95, "ordinal_position": 96}, {"identifier": "F94", "position": [6, 9], "step": 96, "ordinal_position": 97}, {"identifier": "N13", "position": [7, 9], "step": 97, "ordinal_position": 98}, {"identifier": "J55", "position": [8, 9], "step": 98, "ordinal_position": 99}, {"identifier": "S48", "position": [9, 9], "step": 99, "ordinal_position": 100}, {"identifier": "M49", "position": [9, 8], "step": 100, "ordinal_position": 101}, {"identifier": "Y53", "position": [9, 7], "step": 101, "ordinal_position": 102}, {"identifier": "S95", "position": [8, 7], "step": 102, "ordinal_position": 103}, {"identifier": "Q95", "position": [7, 7], "step": 103, "ordinal_position": 104}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 104, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_004.json"}} {"qa_id": "08bf204f61464085ad73bdb60805a1b0", "image_id": "L3-MazeLoop-test_11x11_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B89, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 100th position in this traversal?", "start_object_id": "B89", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [100], "ordinal_strings": ["100th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Y53", "traversal_path": [{"identifier": "B89", "position": [4, 7], "step": 0, "ordinal_position": 1}, {"identifier": "X84", "position": [3, 7], "step": 1, "ordinal_position": 2}, {"identifier": "R65", "position": [3, 6], "step": 2, "ordinal_position": 3}, {"identifier": "Q90", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "I13", "position": [2, 5], "step": 4, "ordinal_position": 5}, {"identifier": "R35", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "L91", "position": [1, 6], "step": 6, "ordinal_position": 7}, {"identifier": "N25", "position": [1, 7], "step": 7, "ordinal_position": 8}, {"identifier": "Z65", "position": [1, 8], "step": 8, "ordinal_position": 9}, {"identifier": "K63", "position": [1, 9], "step": 9, "ordinal_position": 10}, {"identifier": "I01", "position": [2, 9], "step": 10, "ordinal_position": 11}, {"identifier": "B05", "position": [3, 9], "step": 11, "ordinal_position": 12}, {"identifier": "C72", "position": [4, 9], "step": 12, "ordinal_position": 13}, {"identifier": "Z20", "position": [5, 9], "step": 13, "ordinal_position": 14}, {"identifier": "F94", "position": [6, 9], "step": 14, "ordinal_position": 15}, {"identifier": "N13", "position": [7, 9], "step": 15, "ordinal_position": 16}, {"identifier": "J55", "position": [8, 9], "step": 16, "ordinal_position": 17}, {"identifier": "S48", "position": [9, 9], "step": 17, "ordinal_position": 18}, {"identifier": "M49", "position": [9, 8], "step": 18, "ordinal_position": 19}, {"identifier": "Y53", "position": [9, 7], "step": 19, "ordinal_position": 20}, {"identifier": "S95", "position": [8, 7], "step": 20, "ordinal_position": 21}, {"identifier": "Q95", "position": [7, 7], "step": 21, "ordinal_position": 22}, {"identifier": "E13", "position": [7, 6], "step": 22, "ordinal_position": 23}, {"identifier": "O04", "position": [7, 5], "step": 23, "ordinal_position": 24}, {"identifier": "L31", "position": [6, 5], "step": 24, "ordinal_position": 25}, {"identifier": "S80", "position": [5, 5], "step": 25, "ordinal_position": 26}, {"identifier": "R85", "position": [5, 6], "step": 26, "ordinal_position": 27}, {"identifier": "T30", "position": [5, 7], "step": 27, "ordinal_position": 28}, {"identifier": "Z91", "position": [5, 8], "step": 28, "ordinal_position": 29}, {"identifier": "Z20", "position": [5, 9], "step": 29, "ordinal_position": 30}, {"identifier": "F94", "position": [6, 9], "step": 30, "ordinal_position": 31}, {"identifier": "N13", "position": [7, 9], "step": 31, "ordinal_position": 32}, {"identifier": "J55", "position": [8, 9], "step": 32, "ordinal_position": 33}, {"identifier": "S48", "position": [9, 9], "step": 33, "ordinal_position": 34}, {"identifier": "M49", "position": [9, 8], "step": 34, "ordinal_position": 35}, {"identifier": "Y53", "position": [9, 7], "step": 35, "ordinal_position": 36}, {"identifier": "S95", "position": [8, 7], "step": 36, "ordinal_position": 37}, {"identifier": "Q95", "position": [7, 7], "step": 37, "ordinal_position": 38}, {"identifier": "E13", "position": [7, 6], "step": 38, "ordinal_position": 39}, {"identifier": "O04", "position": [7, 5], "step": 39, "ordinal_position": 40}, {"identifier": "L31", "position": [6, 5], "step": 40, "ordinal_position": 41}, {"identifier": "S80", "position": [5, 5], "step": 41, "ordinal_position": 42}, {"identifier": "R85", "position": [5, 6], "step": 42, "ordinal_position": 43}, {"identifier": "T30", "position": [5, 7], "step": 43, "ordinal_position": 44}, {"identifier": "Z91", "position": [5, 8], "step": 44, "ordinal_position": 45}, {"identifier": "Z20", "position": [5, 9], "step": 45, "ordinal_position": 46}, {"identifier": "F94", "position": [6, 9], "step": 46, "ordinal_position": 47}, {"identifier": "N13", "position": [7, 9], "step": 47, "ordinal_position": 48}, {"identifier": "J55", "position": [8, 9], "step": 48, "ordinal_position": 49}, {"identifier": "S48", "position": [9, 9], "step": 49, "ordinal_position": 50}, {"identifier": "M49", "position": [9, 8], "step": 50, "ordinal_position": 51}, {"identifier": "Y53", "position": [9, 7], "step": 51, "ordinal_position": 52}, {"identifier": "S95", "position": [8, 7], "step": 52, "ordinal_position": 53}, {"identifier": "Q95", "position": [7, 7], "step": 53, "ordinal_position": 54}, {"identifier": "E13", "position": [7, 6], "step": 54, "ordinal_position": 55}, {"identifier": "O04", "position": [7, 5], "step": 55, "ordinal_position": 56}, {"identifier": "L31", "position": [6, 5], "step": 56, "ordinal_position": 57}, {"identifier": "S80", "position": [5, 5], "step": 57, "ordinal_position": 58}, {"identifier": "R85", "position": [5, 6], "step": 58, "ordinal_position": 59}, {"identifier": "T30", "position": [5, 7], "step": 59, "ordinal_position": 60}, {"identifier": "Z91", "position": [5, 8], "step": 60, "ordinal_position": 61}, {"identifier": "Z20", "position": [5, 9], "step": 61, "ordinal_position": 62}, {"identifier": "F94", "position": [6, 9], "step": 62, "ordinal_position": 63}, {"identifier": "N13", "position": [7, 9], "step": 63, "ordinal_position": 64}, {"identifier": "J55", "position": [8, 9], "step": 64, "ordinal_position": 65}, {"identifier": "S48", "position": [9, 9], "step": 65, "ordinal_position": 66}, {"identifier": "M49", "position": [9, 8], "step": 66, "ordinal_position": 67}, {"identifier": "Y53", "position": [9, 7], "step": 67, "ordinal_position": 68}, {"identifier": "S95", "position": [8, 7], "step": 68, "ordinal_position": 69}, {"identifier": "Q95", "position": [7, 7], "step": 69, "ordinal_position": 70}, {"identifier": "E13", "position": [7, 6], "step": 70, "ordinal_position": 71}, {"identifier": "O04", "position": [7, 5], "step": 71, "ordinal_position": 72}, {"identifier": "L31", "position": [6, 5], "step": 72, "ordinal_position": 73}, {"identifier": "S80", "position": [5, 5], "step": 73, "ordinal_position": 74}, {"identifier": "R85", "position": [5, 6], "step": 74, "ordinal_position": 75}, {"identifier": "T30", "position": [5, 7], "step": 75, "ordinal_position": 76}, {"identifier": "Z91", "position": [5, 8], "step": 76, "ordinal_position": 77}, {"identifier": "Z20", "position": [5, 9], "step": 77, "ordinal_position": 78}, {"identifier": "F94", "position": [6, 9], "step": 78, "ordinal_position": 79}, {"identifier": "N13", "position": [7, 9], "step": 79, "ordinal_position": 80}, {"identifier": "J55", "position": [8, 9], "step": 80, "ordinal_position": 81}, {"identifier": "S48", "position": [9, 9], "step": 81, "ordinal_position": 82}, {"identifier": "M49", "position": [9, 8], "step": 82, "ordinal_position": 83}, {"identifier": "Y53", "position": [9, 7], "step": 83, "ordinal_position": 84}, {"identifier": "S95", "position": [8, 7], "step": 84, "ordinal_position": 85}, {"identifier": "Q95", "position": [7, 7], "step": 85, "ordinal_position": 86}, {"identifier": "E13", "position": [7, 6], "step": 86, "ordinal_position": 87}, {"identifier": "O04", "position": [7, 5], "step": 87, "ordinal_position": 88}, {"identifier": "L31", "position": [6, 5], "step": 88, "ordinal_position": 89}, {"identifier": "S80", "position": [5, 5], "step": 89, "ordinal_position": 90}, {"identifier": "R85", "position": [5, 6], "step": 90, "ordinal_position": 91}, {"identifier": "T30", "position": [5, 7], "step": 91, "ordinal_position": 92}, {"identifier": "Z91", "position": [5, 8], "step": 92, "ordinal_position": 93}, {"identifier": "Z20", "position": [5, 9], "step": 93, "ordinal_position": 94}, {"identifier": "F94", "position": [6, 9], "step": 94, "ordinal_position": 95}, {"identifier": "N13", "position": [7, 9], "step": 95, "ordinal_position": 96}, {"identifier": "J55", "position": [8, 9], "step": 96, "ordinal_position": 97}, {"identifier": "S48", "position": [9, 9], "step": 97, "ordinal_position": 98}, {"identifier": "M49", "position": [9, 8], "step": 98, "ordinal_position": 99}, {"identifier": "Y53", "position": [9, 7], "step": 99, "ordinal_position": 100}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 100, "direction": "left", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_004.json"}} {"qa_id": "d265313869d14cf795eb88ff6e39165e", "image_id": "L3-MazeLoop-test_11x11_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T30, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 297th position in this traversal?", "start_object_id": "T30", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [297], "ordinal_strings": ["297th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "O04", "traversal_path": [{"identifier": "T30", "position": [5, 7], "step": 0, "ordinal_position": 1}, {"identifier": "B89", "position": [4, 7], "step": 1, "ordinal_position": 2}, {"identifier": "X84", "position": [3, 7], "step": 2, "ordinal_position": 3}, {"identifier": "R65", "position": [3, 6], "step": 3, "ordinal_position": 4}, {"identifier": "Q90", "position": [3, 5], "step": 4, "ordinal_position": 5}, {"identifier": "I13", "position": [2, 5], "step": 5, "ordinal_position": 6}, {"identifier": "R35", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "L91", "position": [1, 6], "step": 7, "ordinal_position": 8}, {"identifier": "N25", "position": [1, 7], "step": 8, "ordinal_position": 9}, {"identifier": "Z65", "position": [1, 8], "step": 9, "ordinal_position": 10}, {"identifier": "K63", "position": [1, 9], "step": 10, "ordinal_position": 11}, {"identifier": "I01", "position": [2, 9], "step": 11, "ordinal_position": 12}, {"identifier": "B05", "position": [3, 9], "step": 12, "ordinal_position": 13}, {"identifier": "C72", "position": [4, 9], "step": 13, "ordinal_position": 14}, {"identifier": "Z20", "position": [5, 9], "step": 14, "ordinal_position": 15}, {"identifier": "F94", "position": [6, 9], "step": 15, "ordinal_position": 16}, {"identifier": "N13", "position": [7, 9], "step": 16, "ordinal_position": 17}, {"identifier": "J55", "position": [8, 9], "step": 17, "ordinal_position": 18}, {"identifier": "S48", "position": [9, 9], "step": 18, "ordinal_position": 19}, {"identifier": "M49", "position": [9, 8], "step": 19, "ordinal_position": 20}, {"identifier": "Y53", "position": [9, 7], "step": 20, "ordinal_position": 21}, {"identifier": "S95", 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282}, {"identifier": "S80", "position": [5, 5], "step": 282, "ordinal_position": 283}, {"identifier": "R85", "position": [5, 6], "step": 283, "ordinal_position": 284}, {"identifier": "T30", "position": [5, 7], "step": 284, "ordinal_position": 285}, {"identifier": "Z91", "position": [5, 8], "step": 285, "ordinal_position": 286}, {"identifier": "Z20", "position": [5, 9], "step": 286, "ordinal_position": 287}, {"identifier": "F94", "position": [6, 9], "step": 287, "ordinal_position": 288}, {"identifier": "N13", "position": [7, 9], "step": 288, "ordinal_position": 289}, {"identifier": "J55", "position": [8, 9], "step": 289, "ordinal_position": 290}, {"identifier": "S48", "position": [9, 9], "step": 290, "ordinal_position": 291}, {"identifier": "M49", "position": [9, 8], "step": 291, "ordinal_position": 292}, {"identifier": "Y53", "position": [9, 7], "step": 292, "ordinal_position": 293}, {"identifier": "S95", "position": [8, 7], "step": 293, "ordinal_position": 294}, {"identifier": "Q95", "position": [7, 7], "step": 294, "ordinal_position": 295}, {"identifier": "E13", "position": [7, 6], "step": 295, "ordinal_position": 296}, {"identifier": "O04", "position": [7, 5], "step": 296, "ordinal_position": 297}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 297, "direction": "left", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_004.json"}} {"qa_id": "497e9538ff644b0ab39ef13fa3ba5df8", "image_id": "L3-MazeLoop-test_11x11_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L91, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 254th position in this traversal?", "start_object_id": "L91", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [254], "ordinal_strings": ["254th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Y53", "traversal_path": [{"identifier": "L91", "position": [1, 6], "step": 0, "ordinal_position": 1}, {"identifier": "N25", "position": [1, 7], "step": 1, "ordinal_position": 2}, {"identifier": "Z65", "position": [1, 8], "step": 2, "ordinal_position": 3}, {"identifier": "K63", "position": [1, 9], "step": 3, "ordinal_position": 4}, {"identifier": "I01", "position": [2, 9], "step": 4, "ordinal_position": 5}, {"identifier": "B05", "position": [3, 9], "step": 5, "ordinal_position": 6}, {"identifier": "C72", "position": [4, 9], "step": 6, "ordinal_position": 7}, {"identifier": "Z20", "position": [5, 9], "step": 7, "ordinal_position": 8}, {"identifier": "F94", "position": [6, 9], "step": 8, "ordinal_position": 9}, {"identifier": "N13", "position": [7, 9], "step": 9, "ordinal_position": 10}, {"identifier": "J55", "position": [8, 9], "step": 10, "ordinal_position": 11}, {"identifier": "S48", "position": [9, 9], "step": 11, "ordinal_position": 12}, {"identifier": "M49", "position": [9, 8], "step": 12, "ordinal_position": 13}, {"identifier": "Y53", "position": [9, 7], "step": 13, "ordinal_position": 14}, {"identifier": "S95", "position": [8, 7], "step": 14, "ordinal_position": 15}, {"identifier": "Q95", "position": [7, 7], "step": 15, "ordinal_position": 16}, {"identifier": "E13", "position": [7, 6], "step": 16, "ordinal_position": 17}, {"identifier": "O04", "position": [7, 5], "step": 17, "ordinal_position": 18}, {"identifier": "L31", "position": [6, 5], "step": 18, "ordinal_position": 19}, {"identifier": "S80", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "R85", "position": [5, 6], "step": 20, "ordinal_position": 21}, {"identifier": "T30", "position": [5, 7], "step": 21, "ordinal_position": 22}, {"identifier": "Z91", "position": [5, 8], "step": 22, "ordinal_position": 23}, {"identifier": "Z20", "position": [5, 9], "step": 23, "ordinal_position": 24}, {"identifier": "F94", "position": [6, 9], "step": 24, "ordinal_position": 25}, {"identifier": "N13", "position": [7, 9], "step": 25, "ordinal_position": 26}, {"identifier": "J55", "position": [8, 9], "step": 26, "ordinal_position": 27}, {"identifier": "S48", "position": [9, 9], "step": 27, "ordinal_position": 28}, {"identifier": "M49", "position": [9, 8], "step": 28, "ordinal_position": 29}, {"identifier": "Y53", "position": [9, 7], "step": 29, "ordinal_position": 30}, {"identifier": "S95", "position": [8, 7], "step": 30, "ordinal_position": 31}, {"identifier": "Q95", "position": [7, 7], "step": 31, "ordinal_position": 32}, {"identifier": "E13", "position": [7, 6], "step": 32, "ordinal_position": 33}, {"identifier": "O04", "position": [7, 5], "step": 33, "ordinal_position": 34}, {"identifier": "L31", "position": [6, 5], "step": 34, "ordinal_position": 35}, {"identifier": "S80", "position": [5, 5], "step": 35, "ordinal_position": 36}, {"identifier": "R85", "position": [5, 6], "step": 36, "ordinal_position": 37}, {"identifier": "T30", "position": [5, 7], "step": 37, "ordinal_position": 38}, {"identifier": "Z91", "position": [5, 8], "step": 38, "ordinal_position": 39}, {"identifier": "Z20", "position": [5, 9], "step": 39, "ordinal_position": 40}, {"identifier": "F94", "position": [6, 9], "step": 40, "ordinal_position": 41}, {"identifier": "N13", "position": [7, 9], "step": 41, "ordinal_position": 42}, {"identifier": "J55", "position": [8, 9], "step": 42, "ordinal_position": 43}, {"identifier": "S48", "position": [9, 9], "step": 43, "ordinal_position": 44}, {"identifier": "M49", "position": [9, 8], "step": 44, "ordinal_position": 45}, {"identifier": "Y53", "position": [9, 7], "step": 45, "ordinal_position": 46}, {"identifier": "S95", "position": [8, 7], "step": 46, "ordinal_position": 47}, {"identifier": "Q95", "position": [7, 7], "step": 47, "ordinal_position": 48}, {"identifier": "E13", "position": [7, 6], "step": 48, "ordinal_position": 49}, {"identifier": "O04", "position": [7, 5], "step": 49, "ordinal_position": 50}, {"identifier": "L31", "position": [6, 5], "step": 50, "ordinal_position": 51}, {"identifier": "S80", "position": [5, 5], "step": 51, "ordinal_position": 52}, {"identifier": "R85", "position": [5, 6], "step": 52, "ordinal_position": 53}, {"identifier": "T30", "position": [5, 7], "step": 53, "ordinal_position": 54}, {"identifier": "Z91", "position": [5, 8], "step": 54, "ordinal_position": 55}, {"identifier": "Z20", "position": [5, 9], "step": 55, "ordinal_position": 56}, {"identifier": "F94", "position": [6, 9], "step": 56, "ordinal_position": 57}, {"identifier": "N13", "position": [7, 9], "step": 57, "ordinal_position": 58}, {"identifier": "J55", "position": [8, 9], "step": 58, "ordinal_position": 59}, {"identifier": "S48", "position": [9, 9], "step": 59, "ordinal_position": 60}, {"identifier": "M49", "position": [9, 8], "step": 60, "ordinal_position": 61}, {"identifier": "Y53", "position": [9, 7], "step": 61, "ordinal_position": 62}, {"identifier": "S95", "position": [8, 7], "step": 62, "ordinal_position": 63}, {"identifier": "Q95", "position": [7, 7], "step": 63, "ordinal_position": 64}, {"identifier": "E13", "position": [7, 6], "step": 64, "ordinal_position": 65}, {"identifier": "O04", "position": [7, 5], "step": 65, "ordinal_position": 66}, {"identifier": "L31", "position": [6, 5], "step": 66, "ordinal_position": 67}, {"identifier": "S80", "position": [5, 5], "step": 67, "ordinal_position": 68}, {"identifier": "R85", "position": [5, 6], "step": 68, "ordinal_position": 69}, {"identifier": "T30", "position": [5, 7], "step": 69, "ordinal_position": 70}, {"identifier": "Z91", "position": [5, 8], "step": 70, "ordinal_position": 71}, {"identifier": "Z20", "position": [5, 9], "step": 71, "ordinal_position": 72}, {"identifier": "F94", "position": [6, 9], "step": 72, "ordinal_position": 73}, {"identifier": "N13", "position": [7, 9], "step": 73, "ordinal_position": 74}, {"identifier": "J55", "position": [8, 9], "step": 74, "ordinal_position": 75}, {"identifier": "S48", "position": [9, 9], "step": 75, "ordinal_position": 76}, {"identifier": "M49", "position": [9, 8], "step": 76, "ordinal_position": 77}, {"identifier": "Y53", "position": [9, 7], "step": 77, "ordinal_position": 78}, {"identifier": "S95", "position": [8, 7], "step": 78, "ordinal_position": 79}, {"identifier": "Q95", "position": [7, 7], "step": 79, "ordinal_position": 80}, {"identifier": "E13", "position": [7, 6], "step": 80, "ordinal_position": 81}, {"identifier": "O04", "position": [7, 5], "step": 81, "ordinal_position": 82}, {"identifier": "L31", "position": [6, 5], "step": 82, "ordinal_position": 83}, {"identifier": "S80", "position": [5, 5], "step": 83, "ordinal_position": 84}, {"identifier": "R85", "position": [5, 6], "step": 84, "ordinal_position": 85}, {"identifier": "T30", "position": [5, 7], "step": 85, "ordinal_position": 86}, {"identifier": "Z91", "position": [5, 8], "step": 86, "ordinal_position": 87}, {"identifier": "Z20", "position": [5, 9], "step": 87, "ordinal_position": 88}, {"identifier": "F94", "position": [6, 9], "step": 88, "ordinal_position": 89}, {"identifier": "N13", "position": [7, 9], "step": 89, "ordinal_position": 90}, {"identifier": "J55", "position": [8, 9], "step": 90, "ordinal_position": 91}, {"identifier": "S48", "position": [9, 9], "step": 91, "ordinal_position": 92}, {"identifier": "M49", "position": [9, 8], "step": 92, "ordinal_position": 93}, {"identifier": "Y53", "position": [9, 7], "step": 93, "ordinal_position": 94}, {"identifier": "S95", "position": [8, 7], "step": 94, "ordinal_position": 95}, {"identifier": "Q95", "position": [7, 7], "step": 95, "ordinal_position": 96}, {"identifier": "E13", "position": [7, 6], "step": 96, "ordinal_position": 97}, {"identifier": "O04", "position": [7, 5], "step": 97, "ordinal_position": 98}, {"identifier": "L31", "position": [6, 5], "step": 98, "ordinal_position": 99}, {"identifier": "S80", "position": [5, 5], "step": 99, "ordinal_position": 100}, {"identifier": "R85", "position": [5, 6], "step": 100, "ordinal_position": 101}, {"identifier": "T30", "position": [5, 7], "step": 101, "ordinal_position": 102}, {"identifier": "Z91", "position": [5, 8], "step": 102, "ordinal_position": 103}, {"identifier": "Z20", "position": [5, 9], "step": 103, "ordinal_position": 104}, {"identifier": "F94", "position": [6, 9], "step": 104, "ordinal_position": 105}, {"identifier": "N13", "position": [7, 9], "step": 105, "ordinal_position": 106}, {"identifier": "J55", "position": [8, 9], "step": 106, "ordinal_position": 107}, {"identifier": "S48", "position": [9, 9], "step": 107, "ordinal_position": 108}, {"identifier": "M49", "position": [9, 8], "step": 108, "ordinal_position": 109}, {"identifier": "Y53", "position": [9, 7], "step": 109, "ordinal_position": 110}, {"identifier": "S95", "position": [8, 7], "step": 110, "ordinal_position": 111}, {"identifier": "Q95", "position": [7, 7], "step": 111, "ordinal_position": 112}, {"identifier": "E13", "position": [7, 6], "step": 112, "ordinal_position": 113}, {"identifier": "O04", "position": [7, 5], "step": 113, "ordinal_position": 114}, {"identifier": "L31", "position": [6, 5], "step": 114, "ordinal_position": 115}, {"identifier": "S80", "position": [5, 5], "step": 115, "ordinal_position": 116}, {"identifier": "R85", "position": [5, 6], "step": 116, "ordinal_position": 117}, {"identifier": "T30", "position": [5, 7], "step": 117, "ordinal_position": 118}, {"identifier": "Z91", "position": [5, 8], "step": 118, "ordinal_position": 119}, {"identifier": "Z20", "position": [5, 9], "step": 119, "ordinal_position": 120}, {"identifier": "F94", "position": [6, 9], "step": 120, "ordinal_position": 121}, {"identifier": "N13", "position": [7, 9], "step": 121, "ordinal_position": 122}, {"identifier": "J55", "position": [8, 9], "step": 122, "ordinal_position": 123}, {"identifier": "S48", "position": [9, 9], "step": 123, "ordinal_position": 124}, {"identifier": "M49", "position": [9, 8], "step": 124, "ordinal_position": 125}, {"identifier": "Y53", "position": [9, 7], "step": 125, "ordinal_position": 126}, {"identifier": "S95", "position": [8, 7], "step": 126, "ordinal_position": 127}, {"identifier": "Q95", "position": [7, 7], "step": 127, "ordinal_position": 128}, {"identifier": "E13", "position": [7, 6], "step": 128, "ordinal_position": 129}, {"identifier": "O04", "position": [7, 5], "step": 129, "ordinal_position": 130}, {"identifier": "L31", "position": [6, 5], "step": 130, "ordinal_position": 131}, {"identifier": "S80", "position": [5, 5], "step": 131, "ordinal_position": 132}, {"identifier": "R85", "position": [5, 6], "step": 132, "ordinal_position": 133}, {"identifier": "T30", "position": [5, 7], "step": 133, "ordinal_position": 134}, {"identifier": "Z91", "position": [5, 8], "step": 134, "ordinal_position": 135}, {"identifier": "Z20", "position": [5, 9], "step": 135, "ordinal_position": 136}, {"identifier": "F94", "position": [6, 9], "step": 136, "ordinal_position": 137}, {"identifier": "N13", "position": [7, 9], "step": 137, "ordinal_position": 138}, {"identifier": "J55", "position": [8, 9], "step": 138, "ordinal_position": 139}, {"identifier": "S48", "position": [9, 9], "step": 139, "ordinal_position": 140}, {"identifier": "M49", "position": [9, 8], "step": 140, "ordinal_position": 141}, {"identifier": "Y53", "position": [9, 7], "step": 141, "ordinal_position": 142}, {"identifier": "S95", "position": [8, 7], "step": 142, "ordinal_position": 143}, {"identifier": "Q95", "position": [7, 7], "step": 143, "ordinal_position": 144}, {"identifier": "E13", "position": [7, 6], "step": 144, "ordinal_position": 145}, {"identifier": "O04", "position": [7, 5], "step": 145, "ordinal_position": 146}, {"identifier": "L31", "position": [6, 5], "step": 146, "ordinal_position": 147}, {"identifier": "S80", "position": [5, 5], "step": 147, "ordinal_position": 148}, {"identifier": "R85", "position": [5, 6], "step": 148, "ordinal_position": 149}, {"identifier": "T30", "position": [5, 7], "step": 149, "ordinal_position": 150}, {"identifier": "Z91", "position": [5, 8], "step": 150, "ordinal_position": 151}, {"identifier": "Z20", "position": [5, 9], "step": 151, "ordinal_position": 152}, {"identifier": "F94", "position": [6, 9], "step": 152, "ordinal_position": 153}, {"identifier": "N13", "position": [7, 9], "step": 153, "ordinal_position": 154}, {"identifier": "J55", "position": [8, 9], "step": 154, "ordinal_position": 155}, {"identifier": "S48", "position": [9, 9], "step": 155, "ordinal_position": 156}, {"identifier": "M49", "position": [9, 8], "step": 156, "ordinal_position": 157}, {"identifier": "Y53", "position": [9, 7], "step": 157, "ordinal_position": 158}, {"identifier": "S95", "position": [8, 7], "step": 158, "ordinal_position": 159}, {"identifier": "Q95", "position": [7, 7], "step": 159, "ordinal_position": 160}, {"identifier": "E13", "position": [7, 6], "step": 160, "ordinal_position": 161}, {"identifier": "O04", "position": [7, 5], "step": 161, "ordinal_position": 162}, {"identifier": "L31", "position": [6, 5], "step": 162, "ordinal_position": 163}, {"identifier": "S80", "position": [5, 5], "step": 163, "ordinal_position": 164}, {"identifier": "R85", "position": [5, 6], "step": 164, "ordinal_position": 165}, {"identifier": "T30", "position": [5, 7], "step": 165, "ordinal_position": 166}, {"identifier": "Z91", 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178, "ordinal_position": 179}, {"identifier": "S80", "position": [5, 5], "step": 179, "ordinal_position": 180}, {"identifier": "R85", "position": [5, 6], "step": 180, "ordinal_position": 181}, {"identifier": "T30", "position": [5, 7], "step": 181, "ordinal_position": 182}, {"identifier": "Z91", "position": [5, 8], "step": 182, "ordinal_position": 183}, {"identifier": "Z20", "position": [5, 9], "step": 183, "ordinal_position": 184}, {"identifier": "F94", "position": [6, 9], "step": 184, "ordinal_position": 185}, {"identifier": "N13", "position": [7, 9], "step": 185, "ordinal_position": 186}, {"identifier": "J55", "position": [8, 9], "step": 186, "ordinal_position": 187}, {"identifier": "S48", "position": [9, 9], "step": 187, "ordinal_position": 188}, {"identifier": "M49", "position": [9, 8], "step": 188, "ordinal_position": 189}, {"identifier": "Y53", "position": [9, 7], "step": 189, "ordinal_position": 190}, {"identifier": "S95", "position": [8, 7], "step": 190, "ordinal_position": 191}, {"identifier": "Q95", "position": [7, 7], "step": 191, "ordinal_position": 192}, {"identifier": "E13", "position": [7, 6], "step": 192, "ordinal_position": 193}, {"identifier": "O04", "position": [7, 5], "step": 193, "ordinal_position": 194}, {"identifier": "L31", "position": [6, 5], "step": 194, "ordinal_position": 195}, {"identifier": "S80", "position": [5, 5], "step": 195, "ordinal_position": 196}, {"identifier": "R85", "position": [5, 6], "step": 196, "ordinal_position": 197}, {"identifier": "T30", "position": [5, 7], "step": 197, "ordinal_position": 198}, {"identifier": "Z91", "position": [5, 8], "step": 198, "ordinal_position": 199}, {"identifier": "Z20", "position": [5, 9], "step": 199, "ordinal_position": 200}, {"identifier": "F94", "position": [6, 9], "step": 200, "ordinal_position": 201}, {"identifier": "N13", "position": [7, 9], "step": 201, "ordinal_position": 202}, {"identifier": "J55", "position": [8, 9], "step": 202, "ordinal_position": 203}, {"identifier": "S48", "position": [9, 9], "step": 203, "ordinal_position": 204}, {"identifier": "M49", "position": [9, 8], "step": 204, "ordinal_position": 205}, {"identifier": "Y53", "position": [9, 7], "step": 205, "ordinal_position": 206}, {"identifier": "S95", "position": [8, 7], "step": 206, "ordinal_position": 207}, {"identifier": "Q95", "position": [7, 7], "step": 207, "ordinal_position": 208}, {"identifier": "E13", "position": [7, 6], "step": 208, "ordinal_position": 209}, {"identifier": "O04", "position": [7, 5], "step": 209, "ordinal_position": 210}, {"identifier": "L31", "position": [6, 5], "step": 210, "ordinal_position": 211}, {"identifier": "S80", "position": [5, 5], "step": 211, "ordinal_position": 212}, {"identifier": "R85", "position": [5, 6], "step": 212, "ordinal_position": 213}, {"identifier": "T30", "position": [5, 7], "step": 213, "ordinal_position": 214}, {"identifier": "Z91", "position": [5, 8], "step": 214, "ordinal_position": 215}, {"identifier": "Z20", "position": [5, 9], "step": 215, "ordinal_position": 216}, {"identifier": "F94", "position": [6, 9], "step": 216, "ordinal_position": 217}, {"identifier": "N13", "position": [7, 9], "step": 217, "ordinal_position": 218}, {"identifier": "J55", "position": [8, 9], "step": 218, "ordinal_position": 219}, {"identifier": "S48", "position": [9, 9], "step": 219, "ordinal_position": 220}, {"identifier": "M49", "position": [9, 8], "step": 220, "ordinal_position": 221}, {"identifier": "Y53", "position": [9, 7], "step": 221, "ordinal_position": 222}, {"identifier": "S95", "position": [8, 7], "step": 222, "ordinal_position": 223}, {"identifier": "Q95", "position": [7, 7], "step": 223, "ordinal_position": 224}, {"identifier": "E13", "position": [7, 6], "step": 224, "ordinal_position": 225}, {"identifier": "O04", "position": [7, 5], "step": 225, "ordinal_position": 226}, {"identifier": "L31", "position": [6, 5], "step": 226, "ordinal_position": 227}, {"identifier": "S80", "position": [5, 5], "step": 227, "ordinal_position": 228}, {"identifier": "R85", "position": [5, 6], "step": 228, "ordinal_position": 229}, {"identifier": "T30", "position": [5, 7], "step": 229, "ordinal_position": 230}, {"identifier": "Z91", "position": [5, 8], "step": 230, "ordinal_position": 231}, {"identifier": "Z20", "position": [5, 9], "step": 231, "ordinal_position": 232}, {"identifier": "F94", "position": [6, 9], "step": 232, "ordinal_position": 233}, {"identifier": "N13", "position": [7, 9], "step": 233, "ordinal_position": 234}, {"identifier": "J55", "position": [8, 9], "step": 234, "ordinal_position": 235}, {"identifier": "S48", "position": [9, 9], "step": 235, "ordinal_position": 236}, {"identifier": "M49", "position": [9, 8], "step": 236, "ordinal_position": 237}, {"identifier": "Y53", "position": [9, 7], "step": 237, "ordinal_position": 238}, {"identifier": "S95", "position": [8, 7], "step": 238, "ordinal_position": 239}, {"identifier": "Q95", "position": [7, 7], "step": 239, "ordinal_position": 240}, {"identifier": "E13", "position": [7, 6], "step": 240, "ordinal_position": 241}, {"identifier": "O04", "position": [7, 5], "step": 241, "ordinal_position": 242}, {"identifier": "L31", "position": [6, 5], "step": 242, "ordinal_position": 243}, {"identifier": "S80", "position": [5, 5], "step": 243, "ordinal_position": 244}, {"identifier": "R85", "position": [5, 6], "step": 244, "ordinal_position": 245}, {"identifier": "T30", "position": [5, 7], "step": 245, "ordinal_position": 246}, {"identifier": "Z91", "position": [5, 8], "step": 246, "ordinal_position": 247}, {"identifier": "Z20", "position": [5, 9], "step": 247, "ordinal_position": 248}, {"identifier": "F94", "position": [6, 9], "step": 248, "ordinal_position": 249}, {"identifier": "N13", "position": [7, 9], "step": 249, "ordinal_position": 250}, {"identifier": "J55", "position": [8, 9], "step": 250, "ordinal_position": 251}, {"identifier": "S48", "position": [9, 9], "step": 251, "ordinal_position": 252}, {"identifier": "M49", "position": [9, 8], "step": 252, "ordinal_position": 253}, {"identifier": "Y53", "position": [9, 7], "step": 253, "ordinal_position": 254}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 254, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_004.json"}} {"qa_id": "d40d6586839f461f9c5ab8ee421c6d32", "image_id": "L3-MazeLoop-test_11x11_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O10, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "O10", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "W48", "traversal_path": [{"identifier": "O10", "position": [1, 8], "step": 0, "ordinal_position": 1}, {"identifier": "H21", "position": [1, 7], "step": 1, "ordinal_position": 2}, {"identifier": "W48", "position": [2, 7], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 3, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_005.json"}} {"qa_id": "970f163d037c4b0bb92aae1203749743", "image_id": "L3-MazeLoop-test_11x11_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T71, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "T71", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q55", "traversal_path": [{"identifier": "T71", "position": [6, 5], "step": 0, "ordinal_position": 1}, {"identifier": "Y70", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "N84", "position": [5, 6], "step": 2, "ordinal_position": 3}, {"identifier": "O79", "position": [5, 7], "step": 3, "ordinal_position": 4}, {"identifier": "Q55", "position": [4, 7], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 5, "direction": "left", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_005.json"}} {"qa_id": "9ec9e9e445b44cdeb4b7ad1fef2ddbe8", "image_id": "L3-MazeLoop-test_11x11_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A88, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "A88", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "I04", "traversal_path": [{"identifier": "A88", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "A93", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "O55", "position": [4, 3], "step": 2, "ordinal_position": 3}, {"identifier": "I04", "position": [5, 3], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 4, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_005.json"}} {"qa_id": "e3e85b40b73143ed95487f0f63984e93", "image_id": "L3-MazeLoop-test_11x11_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S93, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "S93", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "C66", "traversal_path": [{"identifier": "S93", "position": [9, 6], "step": 0, "ordinal_position": 1}, {"identifier": "Y00", "position": [9, 7], "step": 1, "ordinal_position": 2}, {"identifier": "Q99", "position": [9, 8], "step": 2, "ordinal_position": 3}, {"identifier": "N59", "position": [9, 9], "step": 3, "ordinal_position": 4}, {"identifier": "C66", "position": [8, 9], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 5, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_005.json"}} {"qa_id": "32b6a395468843cab8dd00e0e2ee4d8d", "image_id": "L3-MazeLoop-test_11x11_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y41, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "Y41", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q55", "traversal_path": [{"identifier": "Y41", "position": [8, 5], "step": 0, "ordinal_position": 1}, {"identifier": "G79", "position": [7, 5], "step": 1, "ordinal_position": 2}, {"identifier": "T71", "position": [6, 5], "step": 2, "ordinal_position": 3}, {"identifier": "Y70", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "N84", "position": [5, 6], "step": 4, "ordinal_position": 5}, {"identifier": "O79", "position": [5, 7], "step": 5, "ordinal_position": 6}, {"identifier": "Q55", "position": [4, 7], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 7, "direction": "left", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_005.json"}} {"qa_id": "a4cee5c273384250b2090da9439ec201", "image_id": "L3-MazeLoop-test_11x11_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U99, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 52nd position in this traversal?", "start_object_id": "U99", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [52], "ordinal_strings": ["52nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "K27", "traversal_path": [{"identifier": "U99", "position": [7, 9], "step": 0, "ordinal_position": 1}, {"identifier": "M34", "position": [6, 9], "step": 1, "ordinal_position": 2}, {"identifier": "F96", "position": [5, 9], "step": 2, "ordinal_position": 3}, {"identifier": "K27", "position": [4, 9], "step": 3, "ordinal_position": 4}, {"identifier": "Z54", "position": [3, 9], "step": 4, "ordinal_position": 5}, {"identifier": "O64", "position": [2, 9], "step": 5, "ordinal_position": 6}, {"identifier": "O53", "position": [1, 9], "step": 6, "ordinal_position": 7}, {"identifier": "O10", "position": [1, 8], "step": 7, "ordinal_position": 8}, {"identifier": "H21", "position": [1, 7], "step": 8, "ordinal_position": 9}, {"identifier": "W48", "position": [2, 7], "step": 9, "ordinal_position": 10}, {"identifier": "K80", "position": [3, 7], "step": 10, "ordinal_position": 11}, {"identifier": "Q55", "position": [4, 7], "step": 11, "ordinal_position": 12}, {"identifier": "O79", "position": [5, 7], "step": 12, "ordinal_position": 13}, {"identifier": "N84", "position": [5, 6], "step": 13, "ordinal_position": 14}, {"identifier": "Y70", "position": [5, 5], "step": 14, "ordinal_position": 15}, {"identifier": "T71", "position": [6, 5], "step": 15, "ordinal_position": 16}, {"identifier": "G79", "position": [7, 5], "step": 16, "ordinal_position": 17}, {"identifier": "Y41", "position": [8, 5], "step": 17, "ordinal_position": 18}, {"identifier": "E87", "position": [9, 5], "step": 18, "ordinal_position": 19}, {"identifier": "S93", "position": [9, 6], "step": 19, "ordinal_position": 20}, {"identifier": "Y00", "position": [9, 7], "step": 20, "ordinal_position": 21}, {"identifier": "Q99", "position": [9, 8], "step": 21, "ordinal_position": 22}, {"identifier": "N59", "position": [9, 9], "step": 22, "ordinal_position": 23}, {"identifier": "C66", "position": [8, 9], "step": 23, "ordinal_position": 24}, {"identifier": "U99", "position": [7, 9], "step": 24, "ordinal_position": 25}, {"identifier": "M34", "position": [6, 9], "step": 25, "ordinal_position": 26}, {"identifier": "F96", "position": [5, 9], "step": 26, "ordinal_position": 27}, {"identifier": "K27", "position": [4, 9], "step": 27, "ordinal_position": 28}, {"identifier": "Z54", "position": [3, 9], "step": 28, "ordinal_position": 29}, {"identifier": "O64", "position": [2, 9], "step": 29, "ordinal_position": 30}, {"identifier": "O53", "position": [1, 9], "step": 30, "ordinal_position": 31}, {"identifier": "O10", "position": [1, 8], "step": 31, "ordinal_position": 32}, {"identifier": "H21", "position": [1, 7], "step": 32, "ordinal_position": 33}, {"identifier": "W48", "position": [2, 7], "step": 33, "ordinal_position": 34}, {"identifier": "K80", "position": [3, 7], "step": 34, "ordinal_position": 35}, {"identifier": "Q55", "position": [4, 7], "step": 35, "ordinal_position": 36}, {"identifier": "O79", "position": [5, 7], "step": 36, "ordinal_position": 37}, {"identifier": "N84", "position": [5, 6], "step": 37, "ordinal_position": 38}, {"identifier": "Y70", "position": [5, 5], "step": 38, "ordinal_position": 39}, {"identifier": "T71", "position": [6, 5], "step": 39, "ordinal_position": 40}, {"identifier": "G79", "position": [7, 5], "step": 40, "ordinal_position": 41}, {"identifier": "Y41", "position": [8, 5], "step": 41, "ordinal_position": 42}, {"identifier": "E87", "position": [9, 5], "step": 42, "ordinal_position": 43}, {"identifier": "S93", "position": [9, 6], "step": 43, "ordinal_position": 44}, {"identifier": "Y00", "position": [9, 7], "step": 44, "ordinal_position": 45}, {"identifier": "Q99", "position": [9, 8], "step": 45, "ordinal_position": 46}, {"identifier": "N59", "position": [9, 9], "step": 46, "ordinal_position": 47}, {"identifier": "C66", "position": [8, 9], "step": 47, "ordinal_position": 48}, {"identifier": "U99", "position": [7, 9], "step": 48, "ordinal_position": 49}, {"identifier": "M34", "position": [6, 9], "step": 49, "ordinal_position": 50}, {"identifier": "F96", "position": [5, 9], "step": 50, "ordinal_position": 51}, {"identifier": "K27", "position": [4, 9], "step": 51, "ordinal_position": 52}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 52, "direction": "left", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_005.json"}} {"qa_id": "45469ba52fc44c7793642919a38b9df8", "image_id": "L3-MazeLoop-test_11x11_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H21, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 38th position in this traversal?", "start_object_id": "H21", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [38], "ordinal_strings": ["38th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q99", "traversal_path": [{"identifier": "H21", "position": [1, 7], "step": 0, "ordinal_position": 1}, {"identifier": "W48", "position": [2, 7], "step": 1, "ordinal_position": 2}, {"identifier": "K80", "position": [3, 7], "step": 2, "ordinal_position": 3}, {"identifier": "Q55", "position": [4, 7], "step": 3, "ordinal_position": 4}, {"identifier": "O79", "position": [5, 7], "step": 4, "ordinal_position": 5}, {"identifier": "N84", "position": [5, 6], "step": 5, "ordinal_position": 6}, {"identifier": "Y70", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "T71", "position": [6, 5], "step": 7, "ordinal_position": 8}, {"identifier": "G79", "position": [7, 5], "step": 8, "ordinal_position": 9}, {"identifier": "Y41", "position": [8, 5], "step": 9, "ordinal_position": 10}, {"identifier": "E87", "position": [9, 5], "step": 10, "ordinal_position": 11}, {"identifier": "S93", "position": [9, 6], "step": 11, "ordinal_position": 12}, {"identifier": "Y00", "position": [9, 7], "step": 12, "ordinal_position": 13}, {"identifier": "Q99", "position": [9, 8], "step": 13, "ordinal_position": 14}, {"identifier": "N59", "position": [9, 9], "step": 14, "ordinal_position": 15}, {"identifier": "C66", "position": [8, 9], "step": 15, "ordinal_position": 16}, {"identifier": "U99", "position": [7, 9], "step": 16, "ordinal_position": 17}, {"identifier": "M34", "position": [6, 9], "step": 17, "ordinal_position": 18}, {"identifier": "F96", "position": [5, 9], "step": 18, "ordinal_position": 19}, {"identifier": "K27", "position": [4, 9], "step": 19, "ordinal_position": 20}, {"identifier": "Z54", "position": [3, 9], "step": 20, "ordinal_position": 21}, {"identifier": "O64", "position": [2, 9], "step": 21, "ordinal_position": 22}, {"identifier": "O53", "position": [1, 9], "step": 22, "ordinal_position": 23}, {"identifier": "O10", "position": [1, 8], "step": 23, "ordinal_position": 24}, {"identifier": "H21", "position": [1, 7], "step": 24, "ordinal_position": 25}, {"identifier": "W48", "position": [2, 7], "step": 25, "ordinal_position": 26}, {"identifier": "K80", "position": [3, 7], "step": 26, "ordinal_position": 27}, {"identifier": "Q55", "position": [4, 7], "step": 27, "ordinal_position": 28}, {"identifier": "O79", "position": [5, 7], "step": 28, "ordinal_position": 29}, {"identifier": "N84", "position": [5, 6], "step": 29, "ordinal_position": 30}, {"identifier": "Y70", "position": [5, 5], "step": 30, "ordinal_position": 31}, {"identifier": "T71", "position": [6, 5], "step": 31, "ordinal_position": 32}, {"identifier": "G79", "position": [7, 5], "step": 32, "ordinal_position": 33}, {"identifier": "Y41", "position": [8, 5], "step": 33, "ordinal_position": 34}, {"identifier": "E87", "position": [9, 5], "step": 34, "ordinal_position": 35}, {"identifier": "S93", "position": [9, 6], "step": 35, "ordinal_position": 36}, {"identifier": "Y00", "position": [9, 7], "step": 36, "ordinal_position": 37}, {"identifier": "Q99", "position": [9, 8], "step": 37, "ordinal_position": 38}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 38, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_005.json"}} {"qa_id": "b9fe514531344a5fb06f0eb2c7e987f8", "image_id": "L3-MazeLoop-test_11x11_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H21, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 26th position in this traversal?", "start_object_id": "H21", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [26], "ordinal_strings": ["26th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "S95", "traversal_path": [{"identifier": "H21", "position": [1, 7], "step": 0, "ordinal_position": 1}, {"identifier": "O10", "position": [1, 8], "step": 1, "ordinal_position": 2}, {"identifier": "O53", "position": [1, 9], "step": 2, "ordinal_position": 3}, {"identifier": "O64", "position": [2, 9], "step": 3, "ordinal_position": 4}, {"identifier": "Z54", "position": [3, 9], "step": 4, "ordinal_position": 5}, {"identifier": "K27", "position": [4, 9], "step": 5, "ordinal_position": 6}, {"identifier": "F96", "position": [5, 9], "step": 6, "ordinal_position": 7}, {"identifier": "M34", "position": [6, 9], "step": 7, "ordinal_position": 8}, {"identifier": "U99", "position": [7, 9], "step": 8, "ordinal_position": 9}, {"identifier": "C66", "position": [8, 9], "step": 9, "ordinal_position": 10}, {"identifier": "N59", "position": [9, 9], "step": 10, "ordinal_position": 11}, {"identifier": "Q99", "position": [9, 8], "step": 11, "ordinal_position": 12}, {"identifier": "Y00", "position": [9, 7], "step": 12, "ordinal_position": 13}, {"identifier": "S93", "position": [9, 6], "step": 13, "ordinal_position": 14}, {"identifier": "E87", "position": [9, 5], "step": 14, "ordinal_position": 15}, {"identifier": "M69", "position": [9, 4], "step": 15, "ordinal_position": 16}, {"identifier": "T69", "position": [9, 3], "step": 16, "ordinal_position": 17}, {"identifier": "P69", "position": [9, 2], "step": 17, "ordinal_position": 18}, {"identifier": "S54", "position": [9, 1], "step": 18, "ordinal_position": 19}, {"identifier": "R15", "position": [8, 1], "step": 19, "ordinal_position": 20}, {"identifier": "C33", "position": [7, 1], "step": 20, "ordinal_position": 21}, {"identifier": "M93", "position": [6, 1], "step": 21, "ordinal_position": 22}, {"identifier": "H41", "position": [5, 1], "step": 22, "ordinal_position": 23}, {"identifier": "B91", "position": [5, 2], "step": 23, "ordinal_position": 24}, {"identifier": "I04", "position": [5, 3], "step": 24, "ordinal_position": 25}, {"identifier": "S95", "position": [6, 3], "step": 25, "ordinal_position": 26}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 26, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_005.json"}} {"qa_id": "6f76f64a067c4059b477e1c7cfde19ec", "image_id": "L3-MazeLoop-test_11x11_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X69, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 81st position in this traversal?", "start_object_id": "X69", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [81], "ordinal_strings": ["81st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "R15", "traversal_path": [{"identifier": "X69", "position": [3, 6], "step": 0, "ordinal_position": 1}, {"identifier": "O99", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "A37", "position": [2, 5], "step": 2, "ordinal_position": 3}, {"identifier": "V49", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "M53", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "T35", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "K49", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "A74", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "K07", "position": [2, 1], "step": 8, "ordinal_position": 9}, {"identifier": "H56", "position": [3, 1], "step": 9, "ordinal_position": 10}, {"identifier": "A88", "position": [3, 2], "step": 10, "ordinal_position": 11}, {"identifier": "A93", "position": [3, 3], "step": 11, "ordinal_position": 12}, {"identifier": "O55", "position": [4, 3], "step": 12, "ordinal_position": 13}, {"identifier": "I04", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "S95", "position": [6, 3], "step": 14, "ordinal_position": 15}, {"identifier": "C70", "position": [7, 3], "step": 15, "ordinal_position": 16}, {"identifier": "M23", "position": [8, 3], "step": 16, "ordinal_position": 17}, {"identifier": "T69", "position": [9, 3], "step": 17, "ordinal_position": 18}, {"identifier": "P69", "position": [9, 2], "step": 18, "ordinal_position": 19}, {"identifier": "S54", "position": [9, 1], "step": 19, "ordinal_position": 20}, {"identifier": "R15", "position": [8, 1], "step": 20, "ordinal_position": 21}, {"identifier": "C33", "position": [7, 1], "step": 21, "ordinal_position": 22}, {"identifier": "M93", "position": [6, 1], "step": 22, "ordinal_position": 23}, {"identifier": "H41", "position": [5, 1], "step": 23, "ordinal_position": 24}, {"identifier": "B91", "position": [5, 2], "step": 24, "ordinal_position": 25}, {"identifier": "I04", "position": [5, 3], "step": 25, "ordinal_position": 26}, {"identifier": "S95", "position": [6, 3], "step": 26, "ordinal_position": 27}, {"identifier": "C70", "position": [7, 3], "step": 27, "ordinal_position": 28}, {"identifier": "M23", "position": [8, 3], "step": 28, "ordinal_position": 29}, {"identifier": "T69", "position": [9, 3], "step": 29, "ordinal_position": 30}, {"identifier": "P69", "position": [9, 2], "step": 30, "ordinal_position": 31}, {"identifier": "S54", "position": [9, 1], "step": 31, "ordinal_position": 32}, {"identifier": "R15", "position": [8, 1], "step": 32, "ordinal_position": 33}, {"identifier": "C33", "position": [7, 1], "step": 33, "ordinal_position": 34}, {"identifier": "M93", "position": [6, 1], "step": 34, "ordinal_position": 35}, {"identifier": "H41", "position": [5, 1], "step": 35, "ordinal_position": 36}, {"identifier": "B91", "position": [5, 2], "step": 36, "ordinal_position": 37}, {"identifier": "I04", "position": [5, 3], "step": 37, "ordinal_position": 38}, {"identifier": "S95", "position": [6, 3], "step": 38, "ordinal_position": 39}, {"identifier": "C70", "position": [7, 3], "step": 39, "ordinal_position": 40}, {"identifier": "M23", "position": [8, 3], "step": 40, "ordinal_position": 41}, {"identifier": "T69", "position": [9, 3], "step": 41, "ordinal_position": 42}, {"identifier": "P69", "position": [9, 2], "step": 42, "ordinal_position": 43}, {"identifier": "S54", "position": [9, 1], "step": 43, "ordinal_position": 44}, {"identifier": "R15", "position": [8, 1], "step": 44, "ordinal_position": 45}, {"identifier": "C33", "position": [7, 1], "step": 45, "ordinal_position": 46}, {"identifier": "M93", "position": [6, 1], "step": 46, "ordinal_position": 47}, {"identifier": "H41", "position": [5, 1], "step": 47, "ordinal_position": 48}, {"identifier": "B91", "position": [5, 2], "step": 48, "ordinal_position": 49}, {"identifier": "I04", "position": [5, 3], "step": 49, "ordinal_position": 50}, {"identifier": "S95", "position": [6, 3], "step": 50, "ordinal_position": 51}, {"identifier": "C70", "position": [7, 3], "step": 51, "ordinal_position": 52}, {"identifier": "M23", "position": [8, 3], "step": 52, "ordinal_position": 53}, {"identifier": "T69", "position": [9, 3], "step": 53, "ordinal_position": 54}, {"identifier": "P69", "position": [9, 2], "step": 54, "ordinal_position": 55}, {"identifier": "S54", "position": [9, 1], "step": 55, "ordinal_position": 56}, {"identifier": "R15", "position": [8, 1], "step": 56, "ordinal_position": 57}, {"identifier": "C33", "position": [7, 1], "step": 57, "ordinal_position": 58}, {"identifier": "M93", "position": [6, 1], "step": 58, "ordinal_position": 59}, {"identifier": "H41", "position": [5, 1], "step": 59, "ordinal_position": 60}, {"identifier": "B91", "position": [5, 2], "step": 60, "ordinal_position": 61}, {"identifier": "I04", "position": [5, 3], "step": 61, "ordinal_position": 62}, {"identifier": "S95", "position": [6, 3], "step": 62, "ordinal_position": 63}, {"identifier": "C70", "position": [7, 3], "step": 63, "ordinal_position": 64}, {"identifier": "M23", "position": [8, 3], "step": 64, "ordinal_position": 65}, {"identifier": "T69", "position": [9, 3], "step": 65, "ordinal_position": 66}, {"identifier": "P69", "position": [9, 2], "step": 66, "ordinal_position": 67}, {"identifier": "S54", "position": [9, 1], "step": 67, "ordinal_position": 68}, {"identifier": "R15", "position": [8, 1], "step": 68, "ordinal_position": 69}, {"identifier": "C33", "position": [7, 1], "step": 69, "ordinal_position": 70}, {"identifier": "M93", "position": [6, 1], "step": 70, "ordinal_position": 71}, {"identifier": "H41", "position": [5, 1], "step": 71, "ordinal_position": 72}, {"identifier": "B91", "position": [5, 2], "step": 72, "ordinal_position": 73}, {"identifier": "I04", "position": [5, 3], "step": 73, "ordinal_position": 74}, {"identifier": "S95", "position": [6, 3], "step": 74, "ordinal_position": 75}, {"identifier": "C70", "position": [7, 3], "step": 75, "ordinal_position": 76}, {"identifier": "M23", "position": [8, 3], "step": 76, "ordinal_position": 77}, {"identifier": "T69", "position": [9, 3], "step": 77, "ordinal_position": 78}, {"identifier": "P69", "position": [9, 2], "step": 78, "ordinal_position": 79}, {"identifier": "S54", "position": [9, 1], "step": 79, "ordinal_position": 80}, {"identifier": "R15", "position": [8, 1], "step": 80, "ordinal_position": 81}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 81, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_005.json"}} {"qa_id": "21cc009029a84c0c927941b1db47305d", "image_id": "L3-MazeLoop-test_11x11_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K07, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 70th position in this traversal?", "start_object_id": "K07", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [70], "ordinal_strings": ["70th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "S54", "traversal_path": [{"identifier": "K07", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "A74", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "K49", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "T35", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "M53", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "V49", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "A37", "position": [2, 5], "step": 6, "ordinal_position": 7}, {"identifier": "O99", "position": [3, 5], "step": 7, "ordinal_position": 8}, {"identifier": "X69", "position": [3, 6], "step": 8, "ordinal_position": 9}, {"identifier": "K80", "position": [3, 7], "step": 9, "ordinal_position": 10}, {"identifier": "Q55", "position": [4, 7], "step": 10, "ordinal_position": 11}, {"identifier": "O79", "position": [5, 7], "step": 11, "ordinal_position": 12}, {"identifier": "N84", "position": [5, 6], "step": 12, "ordinal_position": 13}, {"identifier": "Y70", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "T71", "position": [6, 5], "step": 14, "ordinal_position": 15}, {"identifier": "G79", "position": [7, 5], "step": 15, "ordinal_position": 16}, {"identifier": "Y41", "position": [8, 5], "step": 16, "ordinal_position": 17}, {"identifier": "E87", "position": [9, 5], "step": 17, "ordinal_position": 18}, {"identifier": "M69", "position": [9, 4], "step": 18, "ordinal_position": 19}, {"identifier": "T69", "position": [9, 3], "step": 19, "ordinal_position": 20}, {"identifier": "P69", "position": [9, 2], "step": 20, "ordinal_position": 21}, {"identifier": "S54", "position": [9, 1], "step": 21, "ordinal_position": 22}, {"identifier": "R15", "position": [8, 1], "step": 22, "ordinal_position": 23}, {"identifier": "C33", "position": [7, 1], "step": 23, "ordinal_position": 24}, {"identifier": "M93", "position": [6, 1], "step": 24, "ordinal_position": 25}, {"identifier": "H41", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "B91", "position": [5, 2], "step": 26, "ordinal_position": 27}, {"identifier": "I04", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "S95", "position": [6, 3], "step": 28, "ordinal_position": 29}, {"identifier": "C70", "position": [7, 3], "step": 29, "ordinal_position": 30}, {"identifier": "M23", "position": [8, 3], "step": 30, "ordinal_position": 31}, {"identifier": "T69", "position": [9, 3], "step": 31, "ordinal_position": 32}, {"identifier": "P69", "position": [9, 2], "step": 32, "ordinal_position": 33}, {"identifier": "S54", "position": [9, 1], "step": 33, "ordinal_position": 34}, {"identifier": "R15", "position": [8, 1], "step": 34, "ordinal_position": 35}, {"identifier": "C33", "position": [7, 1], "step": 35, "ordinal_position": 36}, {"identifier": "M93", "position": [6, 1], "step": 36, "ordinal_position": 37}, {"identifier": "H41", "position": [5, 1], "step": 37, "ordinal_position": 38}, {"identifier": "B91", "position": [5, 2], "step": 38, "ordinal_position": 39}, {"identifier": "I04", "position": [5, 3], "step": 39, "ordinal_position": 40}, {"identifier": "S95", "position": [6, 3], "step": 40, "ordinal_position": 41}, {"identifier": "C70", "position": [7, 3], "step": 41, "ordinal_position": 42}, {"identifier": "M23", "position": [8, 3], "step": 42, "ordinal_position": 43}, {"identifier": "T69", "position": [9, 3], "step": 43, "ordinal_position": 44}, {"identifier": "P69", "position": [9, 2], "step": 44, "ordinal_position": 45}, {"identifier": "S54", "position": [9, 1], "step": 45, "ordinal_position": 46}, {"identifier": "R15", "position": [8, 1], "step": 46, "ordinal_position": 47}, {"identifier": "C33", "position": [7, 1], "step": 47, "ordinal_position": 48}, {"identifier": "M93", "position": [6, 1], "step": 48, "ordinal_position": 49}, {"identifier": "H41", "position": [5, 1], "step": 49, "ordinal_position": 50}, {"identifier": "B91", "position": [5, 2], "step": 50, "ordinal_position": 51}, {"identifier": "I04", "position": [5, 3], "step": 51, "ordinal_position": 52}, {"identifier": "S95", "position": [6, 3], "step": 52, "ordinal_position": 53}, {"identifier": "C70", "position": [7, 3], "step": 53, "ordinal_position": 54}, {"identifier": "M23", "position": [8, 3], "step": 54, "ordinal_position": 55}, {"identifier": "T69", "position": [9, 3], "step": 55, "ordinal_position": 56}, {"identifier": "P69", "position": [9, 2], "step": 56, "ordinal_position": 57}, {"identifier": "S54", "position": [9, 1], "step": 57, "ordinal_position": 58}, {"identifier": "R15", "position": [8, 1], "step": 58, "ordinal_position": 59}, {"identifier": "C33", "position": [7, 1], "step": 59, "ordinal_position": 60}, {"identifier": "M93", "position": [6, 1], "step": 60, "ordinal_position": 61}, {"identifier": "H41", "position": [5, 1], "step": 61, "ordinal_position": 62}, {"identifier": "B91", "position": [5, 2], "step": 62, "ordinal_position": 63}, {"identifier": "I04", "position": [5, 3], "step": 63, "ordinal_position": 64}, {"identifier": "S95", "position": [6, 3], "step": 64, "ordinal_position": 65}, {"identifier": "C70", "position": [7, 3], "step": 65, "ordinal_position": 66}, {"identifier": "M23", "position": [8, 3], "step": 66, "ordinal_position": 67}, {"identifier": "T69", "position": [9, 3], "step": 67, "ordinal_position": 68}, {"identifier": "P69", "position": [9, 2], "step": 68, "ordinal_position": 69}, {"identifier": "S54", "position": [9, 1], "step": 69, "ordinal_position": 70}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 70, "direction": "left", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_005.json"}} {"qa_id": "ab7e2e7def8647aeaab205e1f981c4d3", "image_id": "L3-MazeLoop-test_11x11_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S93, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 283rd position in this traversal?", "start_object_id": "S93", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [283], "ordinal_strings": ["283rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "R15", "traversal_path": [{"identifier": "S93", "position": [9, 6], "step": 0, "ordinal_position": 1}, {"identifier": "E87", "position": [9, 5], "step": 1, "ordinal_position": 2}, {"identifier": "M69", "position": [9, 4], "step": 2, "ordinal_position": 3}, {"identifier": "T69", "position": [9, 3], "step": 3, "ordinal_position": 4}, {"identifier": "P69", "position": [9, 2], "step": 4, "ordinal_position": 5}, {"identifier": "S54", "position": [9, 1], "step": 5, "ordinal_position": 6}, {"identifier": "R15", "position": [8, 1], "step": 6, "ordinal_position": 7}, {"identifier": "C33", "position": [7, 1], "step": 7, "ordinal_position": 8}, {"identifier": "M93", "position": [6, 1], "step": 8, "ordinal_position": 9}, {"identifier": "H41", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "B91", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "I04", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "S95", "position": [6, 3], "step": 12, "ordinal_position": 13}, {"identifier": "C70", "position": [7, 3], "step": 13, "ordinal_position": 14}, {"identifier": "M23", "position": [8, 3], "step": 14, "ordinal_position": 15}, {"identifier": "T69", "position": [9, 3], "step": 15, "ordinal_position": 16}, {"identifier": "P69", "position": [9, 2], "step": 16, "ordinal_position": 17}, {"identifier": "S54", "position": [9, 1], "step": 17, "ordinal_position": 18}, {"identifier": "R15", "position": [8, 1], "step": 18, "ordinal_position": 19}, {"identifier": "C33", "position": [7, 1], "step": 19, "ordinal_position": 20}, {"identifier": "M93", "position": [6, 1], "step": 20, "ordinal_position": 21}, {"identifier": "H41", "position": [5, 1], "step": 21, "ordinal_position": 22}, {"identifier": "B91", "position": [5, 2], "step": 22, "ordinal_position": 23}, {"identifier": "I04", "position": [5, 3], "step": 23, "ordinal_position": 24}, {"identifier": "S95", "position": [6, 3], "step": 24, "ordinal_position": 25}, {"identifier": "C70", "position": [7, 3], "step": 25, "ordinal_position": 26}, {"identifier": "M23", "position": [8, 3], "step": 26, "ordinal_position": 27}, {"identifier": "T69", "position": [9, 3], "step": 27, "ordinal_position": 28}, {"identifier": "P69", "position": [9, 2], "step": 28, "ordinal_position": 29}, {"identifier": "S54", "position": [9, 1], "step": 29, "ordinal_position": 30}, {"identifier": "R15", "position": [8, 1], "step": 30, "ordinal_position": 31}, {"identifier": "C33", "position": [7, 1], "step": 31, "ordinal_position": 32}, {"identifier": "M93", "position": [6, 1], "step": 32, "ordinal_position": 33}, {"identifier": "H41", "position": [5, 1], "step": 33, "ordinal_position": 34}, {"identifier": "B91", "position": [5, 2], "step": 34, "ordinal_position": 35}, {"identifier": "I04", "position": [5, 3], "step": 35, "ordinal_position": 36}, {"identifier": "S95", "position": [6, 3], "step": 36, "ordinal_position": 37}, {"identifier": "C70", "position": [7, 3], "step": 37, "ordinal_position": 38}, {"identifier": "M23", "position": [8, 3], "step": 38, "ordinal_position": 39}, {"identifier": "T69", "position": [9, 3], "step": 39, "ordinal_position": 40}, {"identifier": "P69", "position": [9, 2], "step": 40, "ordinal_position": 41}, {"identifier": "S54", "position": [9, 1], "step": 41, "ordinal_position": 42}, {"identifier": "R15", "position": [8, 1], "step": 42, "ordinal_position": 43}, {"identifier": "C33", "position": [7, 1], "step": 43, "ordinal_position": 44}, {"identifier": "M93", "position": [6, 1], "step": 44, "ordinal_position": 45}, {"identifier": "H41", "position": [5, 1], "step": 45, "ordinal_position": 46}, {"identifier": "B91", "position": [5, 2], "step": 46, "ordinal_position": 47}, {"identifier": "I04", "position": [5, 3], "step": 47, "ordinal_position": 48}, {"identifier": "S95", "position": [6, 3], "step": 48, "ordinal_position": 49}, {"identifier": "C70", "position": [7, 3], "step": 49, "ordinal_position": 50}, {"identifier": "M23", "position": [8, 3], "step": 50, "ordinal_position": 51}, {"identifier": "T69", "position": [9, 3], "step": 51, "ordinal_position": 52}, {"identifier": "P69", "position": [9, 2], "step": 52, "ordinal_position": 53}, {"identifier": "S54", "position": [9, 1], "step": 53, "ordinal_position": 54}, {"identifier": "R15", "position": [8, 1], "step": 54, "ordinal_position": 55}, {"identifier": "C33", "position": [7, 1], "step": 55, "ordinal_position": 56}, {"identifier": "M93", "position": [6, 1], "step": 56, "ordinal_position": 57}, {"identifier": "H41", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "B91", "position": [5, 2], "step": 58, "ordinal_position": 59}, {"identifier": "I04", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "S95", "position": [6, 3], "step": 60, "ordinal_position": 61}, {"identifier": "C70", "position": [7, 3], "step": 61, "ordinal_position": 62}, {"identifier": "M23", "position": [8, 3], "step": 62, "ordinal_position": 63}, {"identifier": "T69", "position": [9, 3], "step": 63, "ordinal_position": 64}, {"identifier": "P69", "position": [9, 2], "step": 64, "ordinal_position": 65}, {"identifier": "S54", "position": [9, 1], "step": 65, "ordinal_position": 66}, {"identifier": "R15", "position": [8, 1], "step": 66, "ordinal_position": 67}, {"identifier": "C33", "position": [7, 1], "step": 67, "ordinal_position": 68}, {"identifier": "M93", "position": [6, 1], "step": 68, "ordinal_position": 69}, {"identifier": "H41", "position": [5, 1], "step": 69, "ordinal_position": 70}, {"identifier": "B91", "position": [5, 2], "step": 70, "ordinal_position": 71}, {"identifier": "I04", "position": [5, 3], "step": 71, "ordinal_position": 72}, {"identifier": "S95", "position": [6, 3], "step": 72, "ordinal_position": 73}, {"identifier": "C70", "position": [7, 3], "step": 73, "ordinal_position": 74}, {"identifier": "M23", "position": [8, 3], "step": 74, "ordinal_position": 75}, {"identifier": "T69", "position": [9, 3], "step": 75, "ordinal_position": 76}, {"identifier": "P69", "position": [9, 2], "step": 76, "ordinal_position": 77}, {"identifier": "S54", "position": [9, 1], "step": 77, "ordinal_position": 78}, {"identifier": "R15", "position": [8, 1], "step": 78, "ordinal_position": 79}, {"identifier": "C33", "position": [7, 1], "step": 79, "ordinal_position": 80}, {"identifier": "M93", "position": [6, 1], "step": 80, "ordinal_position": 81}, {"identifier": "H41", "position": [5, 1], "step": 81, "ordinal_position": 82}, {"identifier": "B91", "position": [5, 2], "step": 82, "ordinal_position": 83}, {"identifier": "I04", "position": [5, 3], "step": 83, "ordinal_position": 84}, {"identifier": "S95", "position": [6, 3], "step": 84, "ordinal_position": 85}, {"identifier": "C70", "position": [7, 3], "step": 85, "ordinal_position": 86}, {"identifier": "M23", "position": [8, 3], "step": 86, "ordinal_position": 87}, {"identifier": "T69", "position": [9, 3], "step": 87, "ordinal_position": 88}, {"identifier": "P69", "position": [9, 2], "step": 88, "ordinal_position": 89}, {"identifier": "S54", "position": [9, 1], "step": 89, "ordinal_position": 90}, {"identifier": "R15", "position": [8, 1], "step": 90, "ordinal_position": 91}, {"identifier": "C33", "position": [7, 1], "step": 91, "ordinal_position": 92}, {"identifier": "M93", "position": [6, 1], "step": 92, "ordinal_position": 93}, {"identifier": "H41", "position": [5, 1], "step": 93, "ordinal_position": 94}, {"identifier": "B91", "position": [5, 2], "step": 94, "ordinal_position": 95}, {"identifier": "I04", "position": [5, 3], "step": 95, "ordinal_position": 96}, {"identifier": "S95", "position": [6, 3], "step": 96, "ordinal_position": 97}, {"identifier": "C70", "position": [7, 3], "step": 97, "ordinal_position": 98}, {"identifier": "M23", "position": [8, 3], "step": 98, "ordinal_position": 99}, {"identifier": "T69", "position": [9, 3], "step": 99, "ordinal_position": 100}, {"identifier": "P69", "position": [9, 2], "step": 100, "ordinal_position": 101}, {"identifier": "S54", "position": [9, 1], "step": 101, "ordinal_position": 102}, {"identifier": "R15", "position": [8, 1], "step": 102, "ordinal_position": 103}, {"identifier": "C33", "position": [7, 1], "step": 103, "ordinal_position": 104}, {"identifier": "M93", "position": [6, 1], "step": 104, "ordinal_position": 105}, {"identifier": "H41", "position": [5, 1], "step": 105, "ordinal_position": 106}, {"identifier": "B91", "position": [5, 2], "step": 106, "ordinal_position": 107}, {"identifier": "I04", "position": [5, 3], "step": 107, "ordinal_position": 108}, {"identifier": "S95", "position": [6, 3], "step": 108, "ordinal_position": 109}, {"identifier": "C70", "position": [7, 3], "step": 109, "ordinal_position": 110}, {"identifier": "M23", "position": [8, 3], "step": 110, "ordinal_position": 111}, {"identifier": "T69", "position": [9, 3], "step": 111, "ordinal_position": 112}, {"identifier": "P69", "position": [9, 2], "step": 112, "ordinal_position": 113}, {"identifier": "S54", "position": [9, 1], "step": 113, "ordinal_position": 114}, {"identifier": "R15", "position": [8, 1], "step": 114, "ordinal_position": 115}, {"identifier": "C33", "position": [7, 1], "step": 115, "ordinal_position": 116}, {"identifier": "M93", "position": [6, 1], "step": 116, "ordinal_position": 117}, {"identifier": "H41", "position": [5, 1], "step": 117, "ordinal_position": 118}, {"identifier": "B91", "position": [5, 2], "step": 118, "ordinal_position": 119}, {"identifier": "I04", "position": [5, 3], "step": 119, "ordinal_position": 120}, {"identifier": "S95", "position": [6, 3], "step": 120, "ordinal_position": 121}, {"identifier": "C70", "position": [7, 3], "step": 121, "ordinal_position": 122}, {"identifier": "M23", "position": [8, 3], "step": 122, "ordinal_position": 123}, {"identifier": "T69", "position": [9, 3], "step": 123, "ordinal_position": 124}, {"identifier": "P69", "position": [9, 2], "step": 124, "ordinal_position": 125}, {"identifier": "S54", "position": [9, 1], "step": 125, "ordinal_position": 126}, {"identifier": "R15", "position": [8, 1], "step": 126, "ordinal_position": 127}, {"identifier": "C33", "position": [7, 1], "step": 127, "ordinal_position": 128}, {"identifier": "M93", "position": [6, 1], "step": 128, "ordinal_position": 129}, {"identifier": "H41", "position": [5, 1], "step": 129, "ordinal_position": 130}, {"identifier": "B91", "position": [5, 2], "step": 130, "ordinal_position": 131}, {"identifier": "I04", "position": [5, 3], "step": 131, "ordinal_position": 132}, {"identifier": "S95", "position": [6, 3], "step": 132, "ordinal_position": 133}, {"identifier": "C70", "position": [7, 3], "step": 133, "ordinal_position": 134}, {"identifier": "M23", "position": [8, 3], "step": 134, "ordinal_position": 135}, {"identifier": "T69", "position": [9, 3], "step": 135, "ordinal_position": 136}, {"identifier": "P69", "position": [9, 2], "step": 136, "ordinal_position": 137}, {"identifier": "S54", "position": [9, 1], "step": 137, "ordinal_position": 138}, {"identifier": "R15", "position": [8, 1], "step": 138, "ordinal_position": 139}, {"identifier": "C33", "position": [7, 1], "step": 139, "ordinal_position": 140}, {"identifier": "M93", "position": [6, 1], "step": 140, "ordinal_position": 141}, {"identifier": "H41", "position": [5, 1], "step": 141, "ordinal_position": 142}, {"identifier": "B91", "position": [5, 2], "step": 142, "ordinal_position": 143}, {"identifier": "I04", "position": [5, 3], "step": 143, "ordinal_position": 144}, {"identifier": "S95", "position": [6, 3], "step": 144, "ordinal_position": 145}, {"identifier": "C70", "position": [7, 3], "step": 145, "ordinal_position": 146}, {"identifier": "M23", "position": [8, 3], "step": 146, "ordinal_position": 147}, {"identifier": "T69", "position": [9, 3], "step": 147, "ordinal_position": 148}, {"identifier": "P69", "position": [9, 2], "step": 148, "ordinal_position": 149}, {"identifier": "S54", "position": [9, 1], "step": 149, "ordinal_position": 150}, {"identifier": "R15", "position": [8, 1], "step": 150, "ordinal_position": 151}, {"identifier": "C33", "position": [7, 1], "step": 151, "ordinal_position": 152}, {"identifier": "M93", "position": [6, 1], "step": 152, "ordinal_position": 153}, {"identifier": "H41", "position": [5, 1], "step": 153, "ordinal_position": 154}, {"identifier": "B91", "position": [5, 2], "step": 154, "ordinal_position": 155}, {"identifier": "I04", "position": [5, 3], "step": 155, "ordinal_position": 156}, {"identifier": "S95", "position": [6, 3], "step": 156, "ordinal_position": 157}, {"identifier": "C70", "position": [7, 3], "step": 157, "ordinal_position": 158}, {"identifier": "M23", "position": [8, 3], "step": 158, "ordinal_position": 159}, {"identifier": "T69", "position": [9, 3], "step": 159, "ordinal_position": 160}, {"identifier": "P69", "position": [9, 2], "step": 160, "ordinal_position": 161}, {"identifier": "S54", "position": [9, 1], "step": 161, "ordinal_position": 162}, {"identifier": "R15", "position": [8, 1], "step": 162, "ordinal_position": 163}, {"identifier": "C33", "position": [7, 1], "step": 163, "ordinal_position": 164}, {"identifier": "M93", "position": [6, 1], "step": 164, "ordinal_position": 165}, {"identifier": "H41", "position": [5, 1], "step": 165, "ordinal_position": 166}, {"identifier": "B91", "position": [5, 2], "step": 166, "ordinal_position": 167}, {"identifier": "I04", "position": [5, 3], "step": 167, "ordinal_position": 168}, {"identifier": "S95", "position": [6, 3], "step": 168, "ordinal_position": 169}, {"identifier": "C70", "position": [7, 3], "step": 169, "ordinal_position": 170}, {"identifier": "M23", "position": [8, 3], "step": 170, "ordinal_position": 171}, {"identifier": "T69", "position": [9, 3], "step": 171, "ordinal_position": 172}, {"identifier": "P69", "position": [9, 2], "step": 172, "ordinal_position": 173}, {"identifier": "S54", "position": [9, 1], "step": 173, "ordinal_position": 174}, {"identifier": "R15", "position": [8, 1], "step": 174, "ordinal_position": 175}, {"identifier": "C33", "position": [7, 1], "step": 175, "ordinal_position": 176}, {"identifier": "M93", "position": [6, 1], "step": 176, "ordinal_position": 177}, {"identifier": "H41", "position": [5, 1], "step": 177, "ordinal_position": 178}, {"identifier": "B91", "position": [5, 2], "step": 178, "ordinal_position": 179}, {"identifier": "I04", "position": [5, 3], "step": 179, "ordinal_position": 180}, {"identifier": "S95", "position": [6, 3], "step": 180, "ordinal_position": 181}, {"identifier": "C70", "position": [7, 3], "step": 181, "ordinal_position": 182}, {"identifier": "M23", "position": [8, 3], "step": 182, "ordinal_position": 183}, {"identifier": "T69", "position": [9, 3], "step": 183, "ordinal_position": 184}, {"identifier": "P69", "position": [9, 2], "step": 184, "ordinal_position": 185}, {"identifier": "S54", "position": [9, 1], "step": 185, "ordinal_position": 186}, {"identifier": "R15", "position": [8, 1], "step": 186, "ordinal_position": 187}, {"identifier": "C33", "position": [7, 1], "step": 187, "ordinal_position": 188}, {"identifier": "M93", "position": [6, 1], "step": 188, "ordinal_position": 189}, {"identifier": "H41", "position": [5, 1], "step": 189, "ordinal_position": 190}, {"identifier": "B91", "position": [5, 2], "step": 190, "ordinal_position": 191}, {"identifier": "I04", "position": [5, 3], "step": 191, "ordinal_position": 192}, {"identifier": "S95", "position": [6, 3], "step": 192, "ordinal_position": 193}, {"identifier": "C70", "position": [7, 3], "step": 193, "ordinal_position": 194}, {"identifier": "M23", "position": [8, 3], "step": 194, "ordinal_position": 195}, {"identifier": "T69", "position": [9, 3], "step": 195, "ordinal_position": 196}, {"identifier": "P69", "position": [9, 2], "step": 196, "ordinal_position": 197}, {"identifier": "S54", "position": [9, 1], "step": 197, "ordinal_position": 198}, {"identifier": "R15", "position": [8, 1], "step": 198, "ordinal_position": 199}, {"identifier": "C33", "position": [7, 1], "step": 199, "ordinal_position": 200}, {"identifier": "M93", "position": [6, 1], "step": 200, "ordinal_position": 201}, {"identifier": "H41", "position": [5, 1], "step": 201, "ordinal_position": 202}, {"identifier": "B91", "position": [5, 2], "step": 202, "ordinal_position": 203}, {"identifier": "I04", "position": [5, 3], "step": 203, "ordinal_position": 204}, {"identifier": "S95", "position": [6, 3], "step": 204, "ordinal_position": 205}, {"identifier": "C70", "position": [7, 3], "step": 205, "ordinal_position": 206}, {"identifier": "M23", "position": [8, 3], "step": 206, "ordinal_position": 207}, {"identifier": "T69", "position": [9, 3], "step": 207, "ordinal_position": 208}, {"identifier": "P69", "position": [9, 2], "step": 208, "ordinal_position": 209}, {"identifier": "S54", "position": [9, 1], "step": 209, "ordinal_position": 210}, {"identifier": "R15", "position": [8, 1], "step": 210, "ordinal_position": 211}, {"identifier": "C33", "position": [7, 1], "step": 211, "ordinal_position": 212}, {"identifier": "M93", "position": [6, 1], "step": 212, "ordinal_position": 213}, {"identifier": "H41", "position": [5, 1], "step": 213, "ordinal_position": 214}, {"identifier": "B91", "position": [5, 2], "step": 214, "ordinal_position": 215}, {"identifier": "I04", "position": [5, 3], "step": 215, "ordinal_position": 216}, {"identifier": "S95", "position": [6, 3], "step": 216, "ordinal_position": 217}, {"identifier": "C70", "position": [7, 3], "step": 217, "ordinal_position": 218}, {"identifier": "M23", "position": [8, 3], "step": 218, "ordinal_position": 219}, {"identifier": "T69", "position": [9, 3], "step": 219, "ordinal_position": 220}, {"identifier": "P69", "position": [9, 2], "step": 220, "ordinal_position": 221}, {"identifier": "S54", "position": [9, 1], "step": 221, "ordinal_position": 222}, {"identifier": "R15", "position": [8, 1], "step": 222, "ordinal_position": 223}, {"identifier": "C33", "position": [7, 1], "step": 223, "ordinal_position": 224}, {"identifier": "M93", "position": [6, 1], "step": 224, "ordinal_position": 225}, {"identifier": "H41", "position": [5, 1], "step": 225, "ordinal_position": 226}, {"identifier": "B91", "position": [5, 2], "step": 226, "ordinal_position": 227}, {"identifier": "I04", "position": [5, 3], "step": 227, "ordinal_position": 228}, {"identifier": "S95", "position": [6, 3], "step": 228, "ordinal_position": 229}, {"identifier": "C70", "position": [7, 3], "step": 229, "ordinal_position": 230}, {"identifier": "M23", "position": [8, 3], "step": 230, "ordinal_position": 231}, {"identifier": "T69", "position": [9, 3], "step": 231, "ordinal_position": 232}, {"identifier": "P69", "position": [9, 2], "step": 232, "ordinal_position": 233}, {"identifier": "S54", "position": [9, 1], "step": 233, "ordinal_position": 234}, {"identifier": "R15", "position": [8, 1], "step": 234, "ordinal_position": 235}, {"identifier": "C33", "position": [7, 1], "step": 235, "ordinal_position": 236}, {"identifier": "M93", "position": [6, 1], "step": 236, "ordinal_position": 237}, {"identifier": "H41", "position": [5, 1], "step": 237, "ordinal_position": 238}, {"identifier": "B91", "position": [5, 2], "step": 238, "ordinal_position": 239}, {"identifier": "I04", "position": [5, 3], "step": 239, "ordinal_position": 240}, {"identifier": "S95", "position": [6, 3], "step": 240, "ordinal_position": 241}, {"identifier": "C70", "position": [7, 3], "step": 241, "ordinal_position": 242}, {"identifier": "M23", "position": [8, 3], "step": 242, "ordinal_position": 243}, {"identifier": "T69", "position": [9, 3], "step": 243, "ordinal_position": 244}, {"identifier": "P69", "position": [9, 2], "step": 244, "ordinal_position": 245}, {"identifier": "S54", "position": [9, 1], "step": 245, "ordinal_position": 246}, {"identifier": "R15", "position": [8, 1], "step": 246, "ordinal_position": 247}, {"identifier": "C33", "position": [7, 1], "step": 247, "ordinal_position": 248}, {"identifier": "M93", "position": [6, 1], "step": 248, "ordinal_position": 249}, {"identifier": "H41", "position": [5, 1], "step": 249, "ordinal_position": 250}, {"identifier": "B91", "position": [5, 2], "step": 250, "ordinal_position": 251}, {"identifier": "I04", "position": [5, 3], "step": 251, "ordinal_position": 252}, {"identifier": "S95", "position": [6, 3], "step": 252, "ordinal_position": 253}, {"identifier": "C70", "position": [7, 3], "step": 253, "ordinal_position": 254}, {"identifier": "M23", "position": [8, 3], "step": 254, "ordinal_position": 255}, {"identifier": "T69", "position": [9, 3], "step": 255, "ordinal_position": 256}, {"identifier": "P69", "position": [9, 2], "step": 256, "ordinal_position": 257}, {"identifier": "S54", "position": [9, 1], "step": 257, "ordinal_position": 258}, {"identifier": "R15", "position": [8, 1], "step": 258, "ordinal_position": 259}, {"identifier": "C33", "position": [7, 1], "step": 259, "ordinal_position": 260}, {"identifier": "M93", "position": [6, 1], "step": 260, "ordinal_position": 261}, {"identifier": "H41", "position": [5, 1], "step": 261, "ordinal_position": 262}, {"identifier": "B91", "position": [5, 2], "step": 262, "ordinal_position": 263}, {"identifier": "I04", "position": [5, 3], "step": 263, "ordinal_position": 264}, {"identifier": "S95", "position": [6, 3], "step": 264, "ordinal_position": 265}, {"identifier": "C70", "position": [7, 3], "step": 265, "ordinal_position": 266}, {"identifier": "M23", "position": [8, 3], "step": 266, "ordinal_position": 267}, {"identifier": "T69", "position": [9, 3], "step": 267, "ordinal_position": 268}, {"identifier": "P69", "position": [9, 2], "step": 268, "ordinal_position": 269}, {"identifier": "S54", "position": [9, 1], "step": 269, "ordinal_position": 270}, {"identifier": "R15", "position": [8, 1], "step": 270, "ordinal_position": 271}, {"identifier": "C33", "position": [7, 1], "step": 271, "ordinal_position": 272}, {"identifier": "M93", "position": [6, 1], "step": 272, "ordinal_position": 273}, {"identifier": "H41", "position": [5, 1], "step": 273, "ordinal_position": 274}, {"identifier": "B91", "position": [5, 2], "step": 274, "ordinal_position": 275}, {"identifier": "I04", "position": [5, 3], "step": 275, "ordinal_position": 276}, {"identifier": "S95", "position": [6, 3], "step": 276, "ordinal_position": 277}, {"identifier": "C70", "position": [7, 3], "step": 277, "ordinal_position": 278}, {"identifier": "M23", "position": [8, 3], "step": 278, "ordinal_position": 279}, {"identifier": "T69", "position": [9, 3], "step": 279, "ordinal_position": 280}, {"identifier": "P69", "position": [9, 2], "step": 280, "ordinal_position": 281}, {"identifier": "S54", "position": [9, 1], "step": 281, "ordinal_position": 282}, {"identifier": "R15", "position": [8, 1], "step": 282, "ordinal_position": 283}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 283, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_005.json"}} {"qa_id": "adf3b1f158a344c598d43725fa40287d", "image_id": "L3-MazeLoop-test_11x11_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P41, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 123rd position in this traversal?", "start_object_id": "P41", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [123], "ordinal_strings": ["123rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "M34", "traversal_path": [{"identifier": "P41", "position": [7, 8], "step": 0, "ordinal_position": 1}, {"identifier": "U99", "position": [7, 9], "step": 1, "ordinal_position": 2}, {"identifier": "M34", "position": [6, 9], "step": 2, "ordinal_position": 3}, {"identifier": "F96", "position": [5, 9], "step": 3, "ordinal_position": 4}, {"identifier": "K27", "position": [4, 9], "step": 4, "ordinal_position": 5}, {"identifier": "Z54", "position": [3, 9], "step": 5, "ordinal_position": 6}, {"identifier": "O64", "position": [2, 9], "step": 6, "ordinal_position": 7}, {"identifier": "O53", "position": [1, 9], "step": 7, "ordinal_position": 8}, {"identifier": "O10", "position": [1, 8], "step": 8, "ordinal_position": 9}, {"identifier": "H21", "position": [1, 7], "step": 9, "ordinal_position": 10}, {"identifier": "W48", "position": [2, 7], "step": 10, "ordinal_position": 11}, {"identifier": "K80", "position": [3, 7], "step": 11, "ordinal_position": 12}, {"identifier": "Q55", "position": [4, 7], "step": 12, "ordinal_position": 13}, {"identifier": "O79", "position": [5, 7], "step": 13, "ordinal_position": 14}, {"identifier": "N84", "position": [5, 6], "step": 14, "ordinal_position": 15}, {"identifier": "Y70", "position": [5, 5], "step": 15, "ordinal_position": 16}, {"identifier": "T71", "position": [6, 5], "step": 16, "ordinal_position": 17}, {"identifier": "G79", "position": [7, 5], "step": 17, "ordinal_position": 18}, {"identifier": "Y41", "position": [8, 5], "step": 18, "ordinal_position": 19}, {"identifier": "E87", "position": [9, 5], "step": 19, "ordinal_position": 20}, {"identifier": "S93", "position": [9, 6], "step": 20, "ordinal_position": 21}, {"identifier": "Y00", "position": [9, 7], "step": 21, "ordinal_position": 22}, {"identifier": "Q99", "position": [9, 8], "step": 22, "ordinal_position": 23}, {"identifier": "N59", "position": [9, 9], "step": 23, "ordinal_position": 24}, {"identifier": "C66", "position": [8, 9], "step": 24, "ordinal_position": 25}, {"identifier": "U99", "position": [7, 9], "step": 25, "ordinal_position": 26}, {"identifier": "M34", "position": [6, 9], "step": 26, "ordinal_position": 27}, {"identifier": "F96", "position": [5, 9], "step": 27, "ordinal_position": 28}, {"identifier": "K27", "position": [4, 9], "step": 28, "ordinal_position": 29}, {"identifier": "Z54", "position": [3, 9], "step": 29, "ordinal_position": 30}, {"identifier": "O64", "position": [2, 9], "step": 30, "ordinal_position": 31}, {"identifier": "O53", "position": [1, 9], "step": 31, "ordinal_position": 32}, {"identifier": "O10", "position": [1, 8], "step": 32, "ordinal_position": 33}, {"identifier": "H21", "position": [1, 7], "step": 33, "ordinal_position": 34}, {"identifier": "W48", "position": [2, 7], "step": 34, "ordinal_position": 35}, {"identifier": "K80", "position": [3, 7], "step": 35, "ordinal_position": 36}, {"identifier": "Q55", "position": [4, 7], "step": 36, "ordinal_position": 37}, {"identifier": "O79", "position": [5, 7], "step": 37, "ordinal_position": 38}, {"identifier": "N84", "position": [5, 6], "step": 38, "ordinal_position": 39}, {"identifier": "Y70", "position": [5, 5], "step": 39, "ordinal_position": 40}, {"identifier": "T71", "position": [6, 5], "step": 40, "ordinal_position": 41}, {"identifier": "G79", "position": [7, 5], "step": 41, "ordinal_position": 42}, {"identifier": "Y41", "position": [8, 5], "step": 42, "ordinal_position": 43}, {"identifier": "E87", "position": [9, 5], "step": 43, "ordinal_position": 44}, {"identifier": "S93", "position": [9, 6], "step": 44, "ordinal_position": 45}, {"identifier": "Y00", "position": [9, 7], "step": 45, "ordinal_position": 46}, {"identifier": "Q99", "position": [9, 8], "step": 46, "ordinal_position": 47}, {"identifier": "N59", "position": [9, 9], "step": 47, "ordinal_position": 48}, {"identifier": "C66", "position": [8, 9], "step": 48, "ordinal_position": 49}, {"identifier": "U99", "position": [7, 9], "step": 49, "ordinal_position": 50}, {"identifier": "M34", "position": [6, 9], "step": 50, "ordinal_position": 51}, {"identifier": "F96", "position": [5, 9], "step": 51, "ordinal_position": 52}, {"identifier": "K27", "position": [4, 9], "step": 52, "ordinal_position": 53}, {"identifier": "Z54", "position": [3, 9], "step": 53, "ordinal_position": 54}, {"identifier": "O64", "position": [2, 9], "step": 54, "ordinal_position": 55}, {"identifier": "O53", "position": [1, 9], "step": 55, "ordinal_position": 56}, {"identifier": "O10", "position": [1, 8], "step": 56, "ordinal_position": 57}, {"identifier": "H21", "position": [1, 7], "step": 57, "ordinal_position": 58}, {"identifier": "W48", "position": [2, 7], "step": 58, "ordinal_position": 59}, {"identifier": "K80", "position": [3, 7], "step": 59, "ordinal_position": 60}, {"identifier": "Q55", "position": [4, 7], "step": 60, "ordinal_position": 61}, {"identifier": "O79", "position": [5, 7], "step": 61, "ordinal_position": 62}, {"identifier": "N84", "position": [5, 6], "step": 62, "ordinal_position": 63}, {"identifier": "Y70", "position": [5, 5], "step": 63, "ordinal_position": 64}, {"identifier": "T71", "position": [6, 5], "step": 64, "ordinal_position": 65}, {"identifier": "G79", "position": [7, 5], "step": 65, "ordinal_position": 66}, {"identifier": "Y41", "position": [8, 5], "step": 66, "ordinal_position": 67}, {"identifier": "E87", "position": [9, 5], "step": 67, "ordinal_position": 68}, {"identifier": "S93", "position": [9, 6], "step": 68, "ordinal_position": 69}, {"identifier": "Y00", "position": [9, 7], "step": 69, "ordinal_position": 70}, {"identifier": "Q99", "position": [9, 8], "step": 70, "ordinal_position": 71}, {"identifier": "N59", "position": [9, 9], "step": 71, "ordinal_position": 72}, {"identifier": "C66", "position": [8, 9], "step": 72, "ordinal_position": 73}, {"identifier": "U99", "position": [7, 9], "step": 73, "ordinal_position": 74}, {"identifier": "M34", "position": [6, 9], "step": 74, "ordinal_position": 75}, {"identifier": "F96", "position": [5, 9], "step": 75, "ordinal_position": 76}, {"identifier": "K27", "position": [4, 9], "step": 76, "ordinal_position": 77}, {"identifier": "Z54", "position": [3, 9], "step": 77, "ordinal_position": 78}, {"identifier": "O64", "position": [2, 9], "step": 78, "ordinal_position": 79}, {"identifier": "O53", "position": [1, 9], "step": 79, "ordinal_position": 80}, {"identifier": "O10", "position": [1, 8], "step": 80, "ordinal_position": 81}, {"identifier": "H21", "position": [1, 7], "step": 81, "ordinal_position": 82}, {"identifier": "W48", "position": [2, 7], "step": 82, "ordinal_position": 83}, {"identifier": "K80", "position": [3, 7], "step": 83, "ordinal_position": 84}, {"identifier": "Q55", "position": [4, 7], "step": 84, "ordinal_position": 85}, {"identifier": "O79", "position": [5, 7], "step": 85, "ordinal_position": 86}, {"identifier": "N84", "position": [5, 6], "step": 86, "ordinal_position": 87}, {"identifier": "Y70", "position": [5, 5], "step": 87, "ordinal_position": 88}, {"identifier": "T71", "position": [6, 5], "step": 88, "ordinal_position": 89}, {"identifier": "G79", "position": [7, 5], "step": 89, "ordinal_position": 90}, {"identifier": "Y41", "position": [8, 5], "step": 90, "ordinal_position": 91}, {"identifier": "E87", "position": [9, 5], "step": 91, "ordinal_position": 92}, {"identifier": "S93", "position": [9, 6], "step": 92, "ordinal_position": 93}, {"identifier": "Y00", "position": [9, 7], "step": 93, "ordinal_position": 94}, {"identifier": "Q99", "position": [9, 8], "step": 94, "ordinal_position": 95}, {"identifier": "N59", "position": [9, 9], "step": 95, "ordinal_position": 96}, {"identifier": "C66", "position": [8, 9], "step": 96, "ordinal_position": 97}, {"identifier": "U99", "position": [7, 9], "step": 97, "ordinal_position": 98}, {"identifier": "M34", "position": [6, 9], "step": 98, "ordinal_position": 99}, {"identifier": "F96", "position": [5, 9], "step": 99, "ordinal_position": 100}, {"identifier": "K27", "position": [4, 9], "step": 100, "ordinal_position": 101}, {"identifier": "Z54", "position": [3, 9], "step": 101, "ordinal_position": 102}, {"identifier": "O64", "position": [2, 9], "step": 102, "ordinal_position": 103}, {"identifier": "O53", "position": [1, 9], "step": 103, "ordinal_position": 104}, {"identifier": "O10", "position": [1, 8], "step": 104, "ordinal_position": 105}, {"identifier": "H21", "position": [1, 7], "step": 105, "ordinal_position": 106}, {"identifier": "W48", "position": [2, 7], "step": 106, "ordinal_position": 107}, {"identifier": "K80", "position": [3, 7], "step": 107, "ordinal_position": 108}, {"identifier": "Q55", "position": [4, 7], "step": 108, "ordinal_position": 109}, {"identifier": "O79", "position": [5, 7], "step": 109, "ordinal_position": 110}, {"identifier": "N84", "position": [5, 6], "step": 110, "ordinal_position": 111}, {"identifier": "Y70", "position": [5, 5], "step": 111, "ordinal_position": 112}, {"identifier": "T71", "position": [6, 5], "step": 112, "ordinal_position": 113}, {"identifier": "G79", "position": [7, 5], "step": 113, "ordinal_position": 114}, {"identifier": "Y41", "position": [8, 5], "step": 114, "ordinal_position": 115}, {"identifier": "E87", "position": [9, 5], "step": 115, "ordinal_position": 116}, {"identifier": "S93", "position": [9, 6], "step": 116, "ordinal_position": 117}, {"identifier": "Y00", "position": [9, 7], "step": 117, "ordinal_position": 118}, {"identifier": "Q99", "position": [9, 8], "step": 118, "ordinal_position": 119}, {"identifier": "N59", "position": [9, 9], "step": 119, "ordinal_position": 120}, {"identifier": "C66", "position": [8, 9], "step": 120, "ordinal_position": 121}, {"identifier": "U99", "position": [7, 9], "step": 121, "ordinal_position": 122}, {"identifier": "M34", "position": [6, 9], "step": 122, "ordinal_position": 123}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 123, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_005.json"}} {"qa_id": "068a0dbc8d984ec1a2811b5324ceb023", "image_id": "L3-MazeLoop-test_11x11_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M53, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 106th position in this traversal?", "start_object_id": "M53", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [106], "ordinal_strings": ["106th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "H41", "traversal_path": [{"identifier": "M53", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "V49", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "A37", "position": [2, 5], "step": 2, "ordinal_position": 3}, {"identifier": "O99", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "X69", "position": [3, 6], "step": 4, "ordinal_position": 5}, {"identifier": "K80", "position": [3, 7], "step": 5, "ordinal_position": 6}, {"identifier": "Q55", "position": [4, 7], "step": 6, "ordinal_position": 7}, {"identifier": "O79", "position": [5, 7], "step": 7, "ordinal_position": 8}, {"identifier": "N84", "position": [5, 6], "step": 8, "ordinal_position": 9}, {"identifier": "Y70", "position": [5, 5], "step": 9, "ordinal_position": 10}, {"identifier": "T71", "position": [6, 5], "step": 10, "ordinal_position": 11}, {"identifier": "G79", "position": [7, 5], "step": 11, "ordinal_position": 12}, {"identifier": "Y41", "position": [8, 5], "step": 12, "ordinal_position": 13}, {"identifier": "E87", "position": [9, 5], "step": 13, "ordinal_position": 14}, {"identifier": "M69", "position": [9, 4], "step": 14, "ordinal_position": 15}, {"identifier": "T69", "position": [9, 3], "step": 15, "ordinal_position": 16}, {"identifier": "P69", "position": [9, 2], "step": 16, "ordinal_position": 17}, {"identifier": "S54", "position": [9, 1], "step": 17, "ordinal_position": 18}, {"identifier": "R15", "position": [8, 1], "step": 18, "ordinal_position": 19}, {"identifier": "C33", "position": [7, 1], "step": 19, "ordinal_position": 20}, {"identifier": "M93", "position": [6, 1], "step": 20, "ordinal_position": 21}, {"identifier": "H41", "position": [5, 1], "step": 21, "ordinal_position": 22}, {"identifier": "B91", "position": [5, 2], "step": 22, "ordinal_position": 23}, {"identifier": "I04", "position": [5, 3], "step": 23, "ordinal_position": 24}, {"identifier": "S95", "position": [6, 3], "step": 24, "ordinal_position": 25}, {"identifier": "C70", "position": [7, 3], "step": 25, "ordinal_position": 26}, {"identifier": "M23", "position": [8, 3], "step": 26, "ordinal_position": 27}, {"identifier": "T69", "position": [9, 3], "step": 27, "ordinal_position": 28}, {"identifier": "P69", "position": [9, 2], "step": 28, "ordinal_position": 29}, {"identifier": "S54", "position": [9, 1], "step": 29, "ordinal_position": 30}, {"identifier": "R15", "position": [8, 1], "step": 30, "ordinal_position": 31}, {"identifier": "C33", "position": [7, 1], "step": 31, "ordinal_position": 32}, {"identifier": "M93", "position": [6, 1], "step": 32, "ordinal_position": 33}, {"identifier": "H41", "position": [5, 1], "step": 33, "ordinal_position": 34}, {"identifier": "B91", "position": [5, 2], "step": 34, "ordinal_position": 35}, {"identifier": "I04", "position": [5, 3], "step": 35, "ordinal_position": 36}, {"identifier": "S95", "position": [6, 3], "step": 36, "ordinal_position": 37}, {"identifier": "C70", "position": [7, 3], "step": 37, "ordinal_position": 38}, {"identifier": "M23", "position": [8, 3], "step": 38, "ordinal_position": 39}, {"identifier": "T69", "position": [9, 3], "step": 39, "ordinal_position": 40}, {"identifier": "P69", "position": [9, 2], "step": 40, "ordinal_position": 41}, {"identifier": "S54", "position": [9, 1], "step": 41, "ordinal_position": 42}, {"identifier": "R15", "position": [8, 1], "step": 42, "ordinal_position": 43}, {"identifier": "C33", "position": [7, 1], "step": 43, "ordinal_position": 44}, {"identifier": "M93", "position": [6, 1], "step": 44, "ordinal_position": 45}, {"identifier": "H41", "position": [5, 1], "step": 45, "ordinal_position": 46}, {"identifier": "B91", "position": [5, 2], "step": 46, "ordinal_position": 47}, {"identifier": "I04", "position": [5, 3], "step": 47, "ordinal_position": 48}, {"identifier": "S95", "position": [6, 3], "step": 48, "ordinal_position": 49}, {"identifier": "C70", "position": [7, 3], "step": 49, "ordinal_position": 50}, {"identifier": "M23", "position": [8, 3], "step": 50, "ordinal_position": 51}, {"identifier": "T69", "position": [9, 3], "step": 51, "ordinal_position": 52}, {"identifier": "P69", "position": [9, 2], "step": 52, "ordinal_position": 53}, {"identifier": "S54", "position": [9, 1], "step": 53, "ordinal_position": 54}, {"identifier": "R15", "position": [8, 1], "step": 54, "ordinal_position": 55}, {"identifier": "C33", "position": [7, 1], "step": 55, "ordinal_position": 56}, {"identifier": "M93", "position": [6, 1], "step": 56, "ordinal_position": 57}, {"identifier": "H41", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "B91", "position": [5, 2], "step": 58, "ordinal_position": 59}, {"identifier": "I04", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "S95", "position": [6, 3], "step": 60, "ordinal_position": 61}, {"identifier": "C70", "position": [7, 3], "step": 61, "ordinal_position": 62}, {"identifier": "M23", "position": [8, 3], "step": 62, "ordinal_position": 63}, {"identifier": "T69", "position": [9, 3], "step": 63, "ordinal_position": 64}, {"identifier": "P69", "position": [9, 2], "step": 64, "ordinal_position": 65}, {"identifier": "S54", "position": [9, 1], "step": 65, "ordinal_position": 66}, {"identifier": "R15", "position": [8, 1], "step": 66, "ordinal_position": 67}, {"identifier": "C33", "position": [7, 1], "step": 67, "ordinal_position": 68}, {"identifier": "M93", "position": [6, 1], "step": 68, "ordinal_position": 69}, {"identifier": "H41", "position": [5, 1], "step": 69, "ordinal_position": 70}, {"identifier": "B91", "position": [5, 2], "step": 70, "ordinal_position": 71}, {"identifier": "I04", "position": [5, 3], "step": 71, "ordinal_position": 72}, {"identifier": "S95", "position": [6, 3], "step": 72, "ordinal_position": 73}, {"identifier": "C70", "position": [7, 3], "step": 73, "ordinal_position": 74}, {"identifier": "M23", "position": [8, 3], "step": 74, "ordinal_position": 75}, {"identifier": "T69", "position": [9, 3], "step": 75, "ordinal_position": 76}, {"identifier": "P69", "position": [9, 2], "step": 76, "ordinal_position": 77}, {"identifier": "S54", "position": [9, 1], "step": 77, "ordinal_position": 78}, {"identifier": "R15", "position": [8, 1], "step": 78, "ordinal_position": 79}, {"identifier": "C33", "position": [7, 1], "step": 79, "ordinal_position": 80}, {"identifier": "M93", "position": [6, 1], "step": 80, "ordinal_position": 81}, {"identifier": "H41", "position": [5, 1], "step": 81, "ordinal_position": 82}, {"identifier": "B91", "position": [5, 2], "step": 82, "ordinal_position": 83}, {"identifier": "I04", "position": [5, 3], "step": 83, "ordinal_position": 84}, {"identifier": "S95", "position": [6, 3], "step": 84, "ordinal_position": 85}, {"identifier": "C70", "position": [7, 3], "step": 85, "ordinal_position": 86}, {"identifier": "M23", "position": [8, 3], "step": 86, "ordinal_position": 87}, {"identifier": "T69", "position": [9, 3], "step": 87, "ordinal_position": 88}, {"identifier": "P69", "position": [9, 2], "step": 88, "ordinal_position": 89}, {"identifier": "S54", "position": [9, 1], "step": 89, "ordinal_position": 90}, {"identifier": "R15", "position": [8, 1], "step": 90, "ordinal_position": 91}, {"identifier": "C33", "position": [7, 1], "step": 91, "ordinal_position": 92}, {"identifier": "M93", "position": [6, 1], "step": 92, "ordinal_position": 93}, {"identifier": "H41", "position": [5, 1], "step": 93, "ordinal_position": 94}, {"identifier": "B91", "position": [5, 2], "step": 94, "ordinal_position": 95}, {"identifier": "I04", "position": [5, 3], "step": 95, "ordinal_position": 96}, {"identifier": "S95", "position": [6, 3], "step": 96, "ordinal_position": 97}, {"identifier": "C70", "position": [7, 3], "step": 97, "ordinal_position": 98}, {"identifier": "M23", "position": [8, 3], "step": 98, "ordinal_position": 99}, {"identifier": "T69", "position": [9, 3], "step": 99, "ordinal_position": 100}, {"identifier": "P69", "position": [9, 2], "step": 100, "ordinal_position": 101}, {"identifier": "S54", "position": [9, 1], "step": 101, "ordinal_position": 102}, {"identifier": "R15", "position": [8, 1], "step": 102, "ordinal_position": 103}, {"identifier": "C33", "position": [7, 1], "step": 103, "ordinal_position": 104}, {"identifier": "M93", "position": [6, 1], "step": 104, "ordinal_position": 105}, {"identifier": "H41", "position": [5, 1], "step": 105, "ordinal_position": 106}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 106, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_005.json"}} {"qa_id": "05b0e593fbd340fabfce2fdd6e6c7f38", "image_id": "L3-MazeLoop-test_11x11_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T69, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 180th position in this traversal?", "start_object_id": "T69", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [180], "ordinal_strings": ["180th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "B91", "traversal_path": [{"identifier": "T69", "position": [9, 3], "step": 0, "ordinal_position": 1}, {"identifier": "M23", "position": [8, 3], "step": 1, "ordinal_position": 2}, {"identifier": "C70", "position": [7, 3], "step": 2, "ordinal_position": 3}, {"identifier": "S95", "position": [6, 3], "step": 3, "ordinal_position": 4}, {"identifier": "I04", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "O55", "position": [4, 3], "step": 5, "ordinal_position": 6}, {"identifier": "A93", "position": [3, 3], "step": 6, "ordinal_position": 7}, {"identifier": "A88", "position": [3, 2], "step": 7, "ordinal_position": 8}, {"identifier": "H56", "position": [3, 1], "step": 8, "ordinal_position": 9}, {"identifier": "K07", "position": [2, 1], "step": 9, "ordinal_position": 10}, {"identifier": "A74", "position": [1, 1], "step": 10, "ordinal_position": 11}, {"identifier": "K49", "position": [1, 2], "step": 11, "ordinal_position": 12}, {"identifier": "T35", "position": [1, 3], "step": 12, "ordinal_position": 13}, {"identifier": "M53", "position": [1, 4], "step": 13, "ordinal_position": 14}, {"identifier": "V49", "position": [1, 5], "step": 14, "ordinal_position": 15}, {"identifier": "A37", "position": [2, 5], "step": 15, "ordinal_position": 16}, {"identifier": "O99", "position": [3, 5], "step": 16, "ordinal_position": 17}, {"identifier": "X69", "position": [3, 6], "step": 17, "ordinal_position": 18}, {"identifier": "K80", "position": [3, 7], "step": 18, "ordinal_position": 19}, {"identifier": "Q55", "position": [4, 7], "step": 19, "ordinal_position": 20}, {"identifier": "O79", "position": [5, 7], "step": 20, "ordinal_position": 21}, {"identifier": "N84", "position": [5, 6], "step": 21, "ordinal_position": 22}, {"identifier": "Y70", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "T71", "position": [6, 5], "step": 23, "ordinal_position": 24}, {"identifier": "G79", "position": [7, 5], "step": 24, "ordinal_position": 25}, {"identifier": "Y41", "position": [8, 5], "step": 25, "ordinal_position": 26}, {"identifier": "E87", "position": [9, 5], "step": 26, "ordinal_position": 27}, {"identifier": "M69", "position": [9, 4], "step": 27, "ordinal_position": 28}, {"identifier": "T69", "position": [9, 3], "step": 28, "ordinal_position": 29}, {"identifier": "P69", "position": [9, 2], "step": 29, "ordinal_position": 30}, {"identifier": "S54", "position": [9, 1], "step": 30, "ordinal_position": 31}, {"identifier": "R15", "position": [8, 1], "step": 31, "ordinal_position": 32}, {"identifier": "C33", "position": [7, 1], "step": 32, "ordinal_position": 33}, {"identifier": "M93", "position": [6, 1], "step": 33, "ordinal_position": 34}, {"identifier": "H41", "position": [5, 1], "step": 34, "ordinal_position": 35}, {"identifier": "B91", "position": [5, 2], "step": 35, "ordinal_position": 36}, {"identifier": "I04", "position": [5, 3], "step": 36, "ordinal_position": 37}, {"identifier": "S95", "position": [6, 3], "step": 37, "ordinal_position": 38}, {"identifier": "C70", "position": [7, 3], "step": 38, "ordinal_position": 39}, {"identifier": "M23", "position": [8, 3], "step": 39, "ordinal_position": 40}, {"identifier": "T69", "position": [9, 3], "step": 40, "ordinal_position": 41}, {"identifier": "P69", "position": [9, 2], "step": 41, "ordinal_position": 42}, {"identifier": "S54", "position": [9, 1], "step": 42, "ordinal_position": 43}, {"identifier": "R15", "position": [8, 1], "step": 43, "ordinal_position": 44}, {"identifier": "C33", "position": [7, 1], "step": 44, "ordinal_position": 45}, {"identifier": "M93", "position": [6, 1], "step": 45, "ordinal_position": 46}, {"identifier": "H41", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "B91", "position": [5, 2], "step": 47, "ordinal_position": 48}, {"identifier": "I04", "position": [5, 3], "step": 48, "ordinal_position": 49}, {"identifier": "S95", "position": [6, 3], "step": 49, "ordinal_position": 50}, {"identifier": "C70", "position": [7, 3], "step": 50, "ordinal_position": 51}, {"identifier": "M23", "position": [8, 3], "step": 51, "ordinal_position": 52}, {"identifier": "T69", "position": [9, 3], "step": 52, "ordinal_position": 53}, {"identifier": "P69", "position": [9, 2], "step": 53, "ordinal_position": 54}, {"identifier": "S54", "position": [9, 1], "step": 54, "ordinal_position": 55}, {"identifier": "R15", "position": [8, 1], "step": 55, "ordinal_position": 56}, {"identifier": "C33", "position": [7, 1], "step": 56, "ordinal_position": 57}, {"identifier": "M93", "position": [6, 1], "step": 57, "ordinal_position": 58}, {"identifier": "H41", "position": [5, 1], "step": 58, "ordinal_position": 59}, {"identifier": "B91", "position": [5, 2], "step": 59, "ordinal_position": 60}, {"identifier": "I04", "position": [5, 3], "step": 60, "ordinal_position": 61}, {"identifier": "S95", "position": [6, 3], "step": 61, "ordinal_position": 62}, {"identifier": "C70", "position": [7, 3], "step": 62, "ordinal_position": 63}, {"identifier": "M23", "position": [8, 3], "step": 63, "ordinal_position": 64}, {"identifier": "T69", "position": [9, 3], "step": 64, "ordinal_position": 65}, {"identifier": "P69", "position": [9, 2], "step": 65, "ordinal_position": 66}, {"identifier": "S54", "position": [9, 1], "step": 66, "ordinal_position": 67}, {"identifier": "R15", "position": [8, 1], "step": 67, "ordinal_position": 68}, {"identifier": "C33", "position": [7, 1], "step": 68, "ordinal_position": 69}, {"identifier": "M93", "position": [6, 1], "step": 69, "ordinal_position": 70}, {"identifier": "H41", "position": [5, 1], "step": 70, "ordinal_position": 71}, {"identifier": "B91", "position": [5, 2], "step": 71, "ordinal_position": 72}, {"identifier": "I04", "position": [5, 3], "step": 72, "ordinal_position": 73}, {"identifier": "S95", "position": [6, 3], "step": 73, "ordinal_position": 74}, {"identifier": "C70", "position": [7, 3], "step": 74, "ordinal_position": 75}, {"identifier": "M23", "position": [8, 3], "step": 75, "ordinal_position": 76}, {"identifier": "T69", "position": [9, 3], "step": 76, "ordinal_position": 77}, {"identifier": "P69", "position": [9, 2], "step": 77, "ordinal_position": 78}, {"identifier": "S54", "position": [9, 1], "step": 78, "ordinal_position": 79}, {"identifier": "R15", "position": [8, 1], "step": 79, "ordinal_position": 80}, {"identifier": "C33", "position": [7, 1], "step": 80, "ordinal_position": 81}, {"identifier": "M93", "position": [6, 1], "step": 81, "ordinal_position": 82}, {"identifier": "H41", "position": [5, 1], "step": 82, "ordinal_position": 83}, {"identifier": "B91", "position": [5, 2], "step": 83, "ordinal_position": 84}, {"identifier": "I04", "position": [5, 3], "step": 84, "ordinal_position": 85}, {"identifier": "S95", "position": [6, 3], "step": 85, "ordinal_position": 86}, {"identifier": "C70", "position": [7, 3], "step": 86, "ordinal_position": 87}, {"identifier": "M23", "position": [8, 3], "step": 87, "ordinal_position": 88}, {"identifier": "T69", "position": [9, 3], "step": 88, "ordinal_position": 89}, {"identifier": "P69", "position": [9, 2], "step": 89, "ordinal_position": 90}, {"identifier": "S54", "position": [9, 1], "step": 90, "ordinal_position": 91}, {"identifier": "R15", "position": [8, 1], "step": 91, "ordinal_position": 92}, {"identifier": "C33", "position": [7, 1], "step": 92, "ordinal_position": 93}, {"identifier": "M93", "position": [6, 1], "step": 93, "ordinal_position": 94}, {"identifier": "H41", "position": [5, 1], "step": 94, "ordinal_position": 95}, {"identifier": "B91", "position": [5, 2], "step": 95, "ordinal_position": 96}, {"identifier": "I04", "position": [5, 3], "step": 96, "ordinal_position": 97}, {"identifier": "S95", "position": [6, 3], "step": 97, "ordinal_position": 98}, {"identifier": "C70", "position": [7, 3], "step": 98, "ordinal_position": 99}, {"identifier": "M23", "position": [8, 3], "step": 99, "ordinal_position": 100}, {"identifier": "T69", "position": [9, 3], "step": 100, "ordinal_position": 101}, {"identifier": "P69", "position": [9, 2], "step": 101, "ordinal_position": 102}, {"identifier": "S54", "position": [9, 1], "step": 102, "ordinal_position": 103}, {"identifier": "R15", "position": [8, 1], "step": 103, "ordinal_position": 104}, {"identifier": "C33", "position": [7, 1], "step": 104, "ordinal_position": 105}, {"identifier": "M93", "position": [6, 1], "step": 105, "ordinal_position": 106}, {"identifier": "H41", "position": [5, 1], "step": 106, "ordinal_position": 107}, {"identifier": "B91", "position": [5, 2], "step": 107, "ordinal_position": 108}, {"identifier": "I04", "position": [5, 3], "step": 108, "ordinal_position": 109}, {"identifier": "S95", "position": [6, 3], "step": 109, "ordinal_position": 110}, {"identifier": "C70", "position": [7, 3], "step": 110, "ordinal_position": 111}, {"identifier": "M23", "position": [8, 3], "step": 111, "ordinal_position": 112}, {"identifier": "T69", "position": [9, 3], "step": 112, "ordinal_position": 113}, {"identifier": "P69", "position": [9, 2], "step": 113, "ordinal_position": 114}, {"identifier": "S54", "position": [9, 1], "step": 114, "ordinal_position": 115}, {"identifier": "R15", "position": [8, 1], "step": 115, "ordinal_position": 116}, {"identifier": "C33", "position": [7, 1], "step": 116, "ordinal_position": 117}, {"identifier": "M93", "position": [6, 1], "step": 117, "ordinal_position": 118}, {"identifier": "H41", "position": [5, 1], "step": 118, "ordinal_position": 119}, {"identifier": "B91", "position": [5, 2], "step": 119, "ordinal_position": 120}, {"identifier": "I04", "position": [5, 3], "step": 120, "ordinal_position": 121}, {"identifier": "S95", "position": [6, 3], "step": 121, "ordinal_position": 122}, {"identifier": "C70", "position": [7, 3], "step": 122, "ordinal_position": 123}, {"identifier": "M23", "position": [8, 3], "step": 123, "ordinal_position": 124}, {"identifier": "T69", "position": [9, 3], "step": 124, "ordinal_position": 125}, {"identifier": "P69", "position": [9, 2], "step": 125, "ordinal_position": 126}, {"identifier": "S54", "position": [9, 1], "step": 126, "ordinal_position": 127}, {"identifier": "R15", "position": [8, 1], "step": 127, "ordinal_position": 128}, {"identifier": "C33", "position": [7, 1], "step": 128, "ordinal_position": 129}, {"identifier": "M93", "position": [6, 1], "step": 129, "ordinal_position": 130}, {"identifier": "H41", "position": [5, 1], "step": 130, "ordinal_position": 131}, {"identifier": "B91", "position": [5, 2], "step": 131, "ordinal_position": 132}, {"identifier": "I04", "position": [5, 3], "step": 132, "ordinal_position": 133}, {"identifier": "S95", "position": [6, 3], "step": 133, "ordinal_position": 134}, {"identifier": "C70", "position": [7, 3], "step": 134, "ordinal_position": 135}, {"identifier": "M23", "position": [8, 3], "step": 135, "ordinal_position": 136}, {"identifier": "T69", "position": [9, 3], "step": 136, "ordinal_position": 137}, {"identifier": "P69", "position": [9, 2], "step": 137, "ordinal_position": 138}, {"identifier": "S54", "position": [9, 1], "step": 138, "ordinal_position": 139}, {"identifier": "R15", "position": [8, 1], "step": 139, "ordinal_position": 140}, {"identifier": "C33", "position": [7, 1], "step": 140, "ordinal_position": 141}, {"identifier": "M93", "position": [6, 1], "step": 141, "ordinal_position": 142}, {"identifier": "H41", "position": [5, 1], "step": 142, "ordinal_position": 143}, {"identifier": "B91", "position": [5, 2], "step": 143, "ordinal_position": 144}, {"identifier": "I04", "position": [5, 3], "step": 144, "ordinal_position": 145}, {"identifier": "S95", "position": [6, 3], "step": 145, "ordinal_position": 146}, {"identifier": "C70", "position": [7, 3], "step": 146, "ordinal_position": 147}, {"identifier": "M23", "position": [8, 3], "step": 147, "ordinal_position": 148}, {"identifier": "T69", "position": [9, 3], "step": 148, "ordinal_position": 149}, {"identifier": "P69", "position": [9, 2], "step": 149, "ordinal_position": 150}, {"identifier": "S54", "position": [9, 1], "step": 150, "ordinal_position": 151}, {"identifier": "R15", "position": [8, 1], "step": 151, "ordinal_position": 152}, {"identifier": "C33", "position": [7, 1], "step": 152, "ordinal_position": 153}, {"identifier": "M93", "position": [6, 1], "step": 153, "ordinal_position": 154}, {"identifier": "H41", "position": [5, 1], "step": 154, "ordinal_position": 155}, {"identifier": "B91", "position": [5, 2], "step": 155, "ordinal_position": 156}, {"identifier": "I04", "position": [5, 3], "step": 156, "ordinal_position": 157}, {"identifier": "S95", "position": [6, 3], "step": 157, "ordinal_position": 158}, {"identifier": "C70", "position": [7, 3], "step": 158, "ordinal_position": 159}, {"identifier": "M23", "position": [8, 3], "step": 159, "ordinal_position": 160}, {"identifier": "T69", "position": [9, 3], "step": 160, "ordinal_position": 161}, {"identifier": "P69", "position": [9, 2], "step": 161, "ordinal_position": 162}, {"identifier": "S54", "position": [9, 1], "step": 162, "ordinal_position": 163}, {"identifier": "R15", "position": [8, 1], "step": 163, "ordinal_position": 164}, {"identifier": "C33", "position": [7, 1], "step": 164, "ordinal_position": 165}, {"identifier": "M93", "position": [6, 1], "step": 165, "ordinal_position": 166}, {"identifier": "H41", "position": [5, 1], "step": 166, "ordinal_position": 167}, {"identifier": "B91", "position": [5, 2], "step": 167, "ordinal_position": 168}, {"identifier": "I04", "position": [5, 3], "step": 168, "ordinal_position": 169}, {"identifier": "S95", "position": [6, 3], "step": 169, "ordinal_position": 170}, {"identifier": "C70", "position": [7, 3], "step": 170, "ordinal_position": 171}, {"identifier": "M23", "position": [8, 3], "step": 171, "ordinal_position": 172}, {"identifier": "T69", "position": [9, 3], "step": 172, "ordinal_position": 173}, {"identifier": "P69", "position": [9, 2], "step": 173, "ordinal_position": 174}, {"identifier": "S54", "position": [9, 1], "step": 174, "ordinal_position": 175}, {"identifier": "R15", "position": [8, 1], "step": 175, "ordinal_position": 176}, {"identifier": "C33", "position": [7, 1], "step": 176, "ordinal_position": 177}, {"identifier": "M93", "position": [6, 1], "step": 177, "ordinal_position": 178}, {"identifier": "H41", "position": [5, 1], "step": 178, "ordinal_position": 179}, {"identifier": "B91", "position": [5, 2], "step": 179, "ordinal_position": 180}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 180, "direction": "left", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_005.json"}} {"qa_id": "4052fac90f434b38b38c7112fa85fe46", "image_id": "L3-MazeLoop-test_11x11_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y41, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 232nd position in this traversal?", "start_object_id": "Y41", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [232], "ordinal_strings": ["232nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "H41", "traversal_path": [{"identifier": "Y41", "position": [8, 5], "step": 0, "ordinal_position": 1}, {"identifier": "G79", "position": [7, 5], "step": 1, "ordinal_position": 2}, {"identifier": "T71", "position": [6, 5], "step": 2, "ordinal_position": 3}, {"identifier": "Y70", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "N84", "position": [5, 6], "step": 4, "ordinal_position": 5}, {"identifier": "O79", "position": [5, 7], "step": 5, "ordinal_position": 6}, {"identifier": "Q55", "position": [4, 7], "step": 6, "ordinal_position": 7}, {"identifier": "K80", "position": [3, 7], "step": 7, "ordinal_position": 8}, {"identifier": "W48", "position": [2, 7], "step": 8, "ordinal_position": 9}, {"identifier": "H21", "position": [1, 7], "step": 9, "ordinal_position": 10}, {"identifier": "O10", "position": [1, 8], "step": 10, "ordinal_position": 11}, {"identifier": "O53", "position": [1, 9], "step": 11, "ordinal_position": 12}, {"identifier": "O64", "position": [2, 9], "step": 12, "ordinal_position": 13}, {"identifier": "Z54", "position": [3, 9], "step": 13, "ordinal_position": 14}, {"identifier": "K27", "position": [4, 9], "step": 14, "ordinal_position": 15}, {"identifier": "F96", "position": [5, 9], "step": 15, "ordinal_position": 16}, {"identifier": "M34", "position": [6, 9], "step": 16, "ordinal_position": 17}, {"identifier": "U99", "position": [7, 9], "step": 17, "ordinal_position": 18}, {"identifier": "C66", "position": [8, 9], "step": 18, "ordinal_position": 19}, {"identifier": "N59", "position": [9, 9], "step": 19, "ordinal_position": 20}, {"identifier": "Q99", "position": [9, 8], "step": 20, "ordinal_position": 21}, {"identifier": "Y00", "position": [9, 7], "step": 21, "ordinal_position": 22}, {"identifier": "S93", "position": [9, 6], "step": 22, "ordinal_position": 23}, {"identifier": "E87", "position": [9, 5], "step": 23, "ordinal_position": 24}, {"identifier": "M69", "position": [9, 4], "step": 24, "ordinal_position": 25}, {"identifier": "T69", "position": [9, 3], "step": 25, "ordinal_position": 26}, {"identifier": "P69", "position": [9, 2], "step": 26, "ordinal_position": 27}, {"identifier": "S54", "position": [9, 1], "step": 27, "ordinal_position": 28}, {"identifier": "R15", "position": [8, 1], "step": 28, "ordinal_position": 29}, {"identifier": "C33", "position": [7, 1], "step": 29, "ordinal_position": 30}, {"identifier": "M93", "position": [6, 1], "step": 30, "ordinal_position": 31}, {"identifier": "H41", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "B91", "position": [5, 2], "step": 32, "ordinal_position": 33}, {"identifier": "I04", "position": [5, 3], "step": 33, "ordinal_position": 34}, {"identifier": "O55", "position": [4, 3], "step": 34, "ordinal_position": 35}, {"identifier": "A93", "position": [3, 3], "step": 35, "ordinal_position": 36}, {"identifier": "A88", "position": [3, 2], "step": 36, "ordinal_position": 37}, {"identifier": "H56", "position": [3, 1], "step": 37, "ordinal_position": 38}, {"identifier": "K07", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "A74", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "K49", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "T35", "position": [1, 3], "step": 41, "ordinal_position": 42}, {"identifier": "M53", "position": [1, 4], "step": 42, "ordinal_position": 43}, {"identifier": "V49", "position": [1, 5], "step": 43, "ordinal_position": 44}, {"identifier": "A37", "position": [2, 5], "step": 44, "ordinal_position": 45}, {"identifier": "O99", "position": [3, 5], "step": 45, "ordinal_position": 46}, {"identifier": "X69", "position": [3, 6], "step": 46, "ordinal_position": 47}, {"identifier": "K80", "position": [3, 7], "step": 47, "ordinal_position": 48}, {"identifier": "W48", "position": [2, 7], "step": 48, "ordinal_position": 49}, {"identifier": "H21", "position": [1, 7], "step": 49, "ordinal_position": 50}, {"identifier": "O10", "position": [1, 8], "step": 50, "ordinal_position": 51}, {"identifier": "O53", "position": [1, 9], "step": 51, "ordinal_position": 52}, {"identifier": "O64", "position": [2, 9], "step": 52, "ordinal_position": 53}, {"identifier": "Z54", "position": [3, 9], "step": 53, "ordinal_position": 54}, {"identifier": "K27", "position": [4, 9], "step": 54, "ordinal_position": 55}, {"identifier": "F96", "position": [5, 9], "step": 55, "ordinal_position": 56}, {"identifier": "M34", "position": [6, 9], "step": 56, "ordinal_position": 57}, {"identifier": "U99", "position": [7, 9], "step": 57, "ordinal_position": 58}, {"identifier": "C66", "position": [8, 9], "step": 58, "ordinal_position": 59}, {"identifier": "N59", "position": [9, 9], "step": 59, "ordinal_position": 60}, {"identifier": "Q99", "position": [9, 8], "step": 60, "ordinal_position": 61}, {"identifier": "Y00", "position": [9, 7], "step": 61, "ordinal_position": 62}, {"identifier": "S93", "position": [9, 6], "step": 62, "ordinal_position": 63}, {"identifier": "E87", "position": [9, 5], "step": 63, "ordinal_position": 64}, {"identifier": "M69", "position": [9, 4], "step": 64, "ordinal_position": 65}, {"identifier": "T69", "position": [9, 3], "step": 65, "ordinal_position": 66}, {"identifier": "P69", "position": [9, 2], "step": 66, "ordinal_position": 67}, {"identifier": "S54", "position": [9, 1], "step": 67, "ordinal_position": 68}, {"identifier": "R15", "position": [8, 1], "step": 68, "ordinal_position": 69}, {"identifier": "C33", "position": [7, 1], "step": 69, "ordinal_position": 70}, {"identifier": "M93", "position": [6, 1], "step": 70, "ordinal_position": 71}, {"identifier": "H41", "position": [5, 1], "step": 71, "ordinal_position": 72}, {"identifier": "B91", "position": [5, 2], "step": 72, "ordinal_position": 73}, {"identifier": "I04", "position": [5, 3], "step": 73, "ordinal_position": 74}, {"identifier": "O55", "position": [4, 3], "step": 74, "ordinal_position": 75}, {"identifier": "A93", "position": [3, 3], "step": 75, "ordinal_position": 76}, {"identifier": "A88", "position": [3, 2], "step": 76, "ordinal_position": 77}, {"identifier": "H56", "position": [3, 1], "step": 77, "ordinal_position": 78}, {"identifier": "K07", "position": [2, 1], "step": 78, "ordinal_position": 79}, {"identifier": "A74", "position": [1, 1], "step": 79, "ordinal_position": 80}, {"identifier": "K49", "position": [1, 2], "step": 80, "ordinal_position": 81}, {"identifier": "T35", "position": [1, 3], "step": 81, "ordinal_position": 82}, {"identifier": "M53", "position": [1, 4], "step": 82, "ordinal_position": 83}, {"identifier": "V49", "position": [1, 5], "step": 83, "ordinal_position": 84}, {"identifier": "A37", "position": [2, 5], "step": 84, "ordinal_position": 85}, {"identifier": "O99", "position": [3, 5], "step": 85, "ordinal_position": 86}, {"identifier": "X69", "position": [3, 6], "step": 86, "ordinal_position": 87}, {"identifier": "K80", "position": [3, 7], "step": 87, "ordinal_position": 88}, {"identifier": "W48", "position": [2, 7], "step": 88, "ordinal_position": 89}, {"identifier": "H21", "position": [1, 7], "step": 89, "ordinal_position": 90}, {"identifier": "O10", "position": [1, 8], "step": 90, "ordinal_position": 91}, {"identifier": "O53", "position": [1, 9], "step": 91, "ordinal_position": 92}, {"identifier": "O64", "position": [2, 9], "step": 92, "ordinal_position": 93}, {"identifier": "Z54", "position": [3, 9], "step": 93, "ordinal_position": 94}, {"identifier": "K27", "position": [4, 9], "step": 94, "ordinal_position": 95}, {"identifier": "F96", "position": [5, 9], "step": 95, "ordinal_position": 96}, {"identifier": "M34", "position": [6, 9], "step": 96, "ordinal_position": 97}, {"identifier": "U99", "position": [7, 9], "step": 97, "ordinal_position": 98}, {"identifier": "C66", "position": [8, 9], "step": 98, "ordinal_position": 99}, {"identifier": "N59", "position": [9, 9], "step": 99, "ordinal_position": 100}, {"identifier": "Q99", "position": [9, 8], "step": 100, "ordinal_position": 101}, {"identifier": "Y00", "position": [9, 7], "step": 101, "ordinal_position": 102}, {"identifier": "S93", "position": [9, 6], "step": 102, "ordinal_position": 103}, {"identifier": "E87", "position": [9, 5], "step": 103, "ordinal_position": 104}, {"identifier": "M69", "position": [9, 4], "step": 104, "ordinal_position": 105}, {"identifier": "T69", "position": [9, 3], "step": 105, "ordinal_position": 106}, {"identifier": "P69", "position": [9, 2], "step": 106, "ordinal_position": 107}, {"identifier": "S54", "position": [9, 1], "step": 107, "ordinal_position": 108}, {"identifier": "R15", "position": [8, 1], "step": 108, "ordinal_position": 109}, {"identifier": "C33", "position": [7, 1], "step": 109, "ordinal_position": 110}, {"identifier": "M93", "position": [6, 1], "step": 110, "ordinal_position": 111}, {"identifier": "H41", "position": [5, 1], "step": 111, "ordinal_position": 112}, {"identifier": "B91", "position": [5, 2], "step": 112, "ordinal_position": 113}, {"identifier": "I04", "position": [5, 3], "step": 113, "ordinal_position": 114}, {"identifier": "O55", "position": [4, 3], "step": 114, "ordinal_position": 115}, {"identifier": "A93", "position": [3, 3], "step": 115, "ordinal_position": 116}, {"identifier": "A88", "position": [3, 2], "step": 116, "ordinal_position": 117}, {"identifier": "H56", "position": [3, 1], "step": 117, "ordinal_position": 118}, {"identifier": "K07", "position": [2, 1], "step": 118, "ordinal_position": 119}, {"identifier": "A74", "position": [1, 1], "step": 119, "ordinal_position": 120}, {"identifier": "K49", "position": [1, 2], "step": 120, "ordinal_position": 121}, {"identifier": "T35", "position": [1, 3], "step": 121, "ordinal_position": 122}, {"identifier": "M53", "position": [1, 4], "step": 122, "ordinal_position": 123}, {"identifier": "V49", "position": [1, 5], "step": 123, "ordinal_position": 124}, {"identifier": "A37", "position": [2, 5], "step": 124, "ordinal_position": 125}, {"identifier": "O99", "position": [3, 5], "step": 125, "ordinal_position": 126}, {"identifier": "X69", "position": [3, 6], "step": 126, "ordinal_position": 127}, {"identifier": "K80", "position": [3, 7], "step": 127, "ordinal_position": 128}, {"identifier": "W48", "position": [2, 7], "step": 128, "ordinal_position": 129}, {"identifier": "H21", "position": [1, 7], "step": 129, "ordinal_position": 130}, {"identifier": "O10", "position": [1, 8], "step": 130, "ordinal_position": 131}, {"identifier": "O53", "position": [1, 9], "step": 131, "ordinal_position": 132}, {"identifier": "O64", "position": [2, 9], "step": 132, "ordinal_position": 133}, {"identifier": "Z54", "position": [3, 9], "step": 133, "ordinal_position": 134}, {"identifier": "K27", "position": [4, 9], "step": 134, "ordinal_position": 135}, {"identifier": "F96", "position": [5, 9], "step": 135, "ordinal_position": 136}, {"identifier": "M34", "position": [6, 9], "step": 136, "ordinal_position": 137}, {"identifier": "U99", "position": [7, 9], "step": 137, "ordinal_position": 138}, {"identifier": "C66", "position": [8, 9], "step": 138, "ordinal_position": 139}, {"identifier": "N59", "position": [9, 9], "step": 139, "ordinal_position": 140}, {"identifier": "Q99", "position": [9, 8], "step": 140, "ordinal_position": 141}, {"identifier": "Y00", "position": [9, 7], "step": 141, "ordinal_position": 142}, {"identifier": "S93", "position": [9, 6], "step": 142, "ordinal_position": 143}, {"identifier": "E87", "position": [9, 5], "step": 143, "ordinal_position": 144}, {"identifier": "M69", "position": [9, 4], "step": 144, "ordinal_position": 145}, {"identifier": "T69", "position": [9, 3], "step": 145, "ordinal_position": 146}, {"identifier": "P69", "position": [9, 2], "step": 146, "ordinal_position": 147}, {"identifier": "S54", "position": [9, 1], "step": 147, "ordinal_position": 148}, {"identifier": "R15", "position": [8, 1], "step": 148, "ordinal_position": 149}, {"identifier": "C33", "position": [7, 1], "step": 149, "ordinal_position": 150}, {"identifier": "M93", "position": [6, 1], "step": 150, "ordinal_position": 151}, {"identifier": "H41", "position": [5, 1], "step": 151, "ordinal_position": 152}, {"identifier": "B91", "position": [5, 2], "step": 152, "ordinal_position": 153}, {"identifier": "I04", "position": [5, 3], "step": 153, "ordinal_position": 154}, {"identifier": "O55", "position": [4, 3], "step": 154, "ordinal_position": 155}, {"identifier": "A93", "position": [3, 3], "step": 155, "ordinal_position": 156}, {"identifier": "A88", "position": [3, 2], "step": 156, "ordinal_position": 157}, {"identifier": "H56", "position": [3, 1], "step": 157, "ordinal_position": 158}, {"identifier": "K07", "position": [2, 1], "step": 158, "ordinal_position": 159}, {"identifier": "A74", "position": [1, 1], "step": 159, "ordinal_position": 160}, {"identifier": "K49", "position": [1, 2], "step": 160, "ordinal_position": 161}, {"identifier": "T35", "position": [1, 3], "step": 161, "ordinal_position": 162}, {"identifier": "M53", "position": [1, 4], "step": 162, "ordinal_position": 163}, {"identifier": "V49", "position": [1, 5], "step": 163, "ordinal_position": 164}, {"identifier": "A37", "position": [2, 5], "step": 164, "ordinal_position": 165}, {"identifier": "O99", "position": [3, 5], "step": 165, "ordinal_position": 166}, {"identifier": "X69", "position": [3, 6], "step": 166, "ordinal_position": 167}, {"identifier": "K80", "position": [3, 7], "step": 167, "ordinal_position": 168}, {"identifier": "W48", "position": [2, 7], "step": 168, "ordinal_position": 169}, {"identifier": "H21", "position": [1, 7], "step": 169, "ordinal_position": 170}, {"identifier": "O10", "position": [1, 8], "step": 170, "ordinal_position": 171}, {"identifier": "O53", "position": [1, 9], "step": 171, "ordinal_position": 172}, {"identifier": "O64", "position": [2, 9], "step": 172, "ordinal_position": 173}, {"identifier": "Z54", "position": [3, 9], "step": 173, "ordinal_position": 174}, {"identifier": "K27", "position": [4, 9], "step": 174, "ordinal_position": 175}, {"identifier": "F96", "position": [5, 9], "step": 175, "ordinal_position": 176}, {"identifier": "M34", "position": [6, 9], "step": 176, "ordinal_position": 177}, {"identifier": "U99", "position": [7, 9], "step": 177, "ordinal_position": 178}, {"identifier": "C66", "position": [8, 9], "step": 178, "ordinal_position": 179}, {"identifier": "N59", "position": [9, 9], "step": 179, "ordinal_position": 180}, {"identifier": "Q99", "position": [9, 8], "step": 180, "ordinal_position": 181}, {"identifier": "Y00", "position": [9, 7], "step": 181, "ordinal_position": 182}, {"identifier": "S93", "position": [9, 6], "step": 182, "ordinal_position": 183}, {"identifier": "E87", "position": [9, 5], "step": 183, "ordinal_position": 184}, {"identifier": "M69", "position": [9, 4], "step": 184, "ordinal_position": 185}, {"identifier": "T69", "position": [9, 3], "step": 185, "ordinal_position": 186}, {"identifier": "P69", "position": [9, 2], "step": 186, "ordinal_position": 187}, {"identifier": "S54", "position": [9, 1], "step": 187, "ordinal_position": 188}, {"identifier": "R15", "position": [8, 1], "step": 188, "ordinal_position": 189}, {"identifier": "C33", "position": [7, 1], "step": 189, "ordinal_position": 190}, {"identifier": "M93", "position": [6, 1], "step": 190, "ordinal_position": 191}, {"identifier": "H41", "position": [5, 1], "step": 191, "ordinal_position": 192}, {"identifier": "B91", "position": [5, 2], "step": 192, "ordinal_position": 193}, {"identifier": "I04", "position": [5, 3], "step": 193, "ordinal_position": 194}, {"identifier": "O55", "position": [4, 3], "step": 194, "ordinal_position": 195}, {"identifier": "A93", "position": [3, 3], "step": 195, "ordinal_position": 196}, {"identifier": "A88", "position": [3, 2], "step": 196, "ordinal_position": 197}, {"identifier": "H56", "position": [3, 1], "step": 197, "ordinal_position": 198}, {"identifier": "K07", "position": [2, 1], "step": 198, "ordinal_position": 199}, {"identifier": "A74", "position": [1, 1], "step": 199, "ordinal_position": 200}, {"identifier": "K49", "position": [1, 2], "step": 200, "ordinal_position": 201}, {"identifier": "T35", "position": [1, 3], "step": 201, "ordinal_position": 202}, {"identifier": "M53", "position": [1, 4], "step": 202, "ordinal_position": 203}, {"identifier": "V49", "position": [1, 5], "step": 203, "ordinal_position": 204}, {"identifier": "A37", "position": [2, 5], "step": 204, "ordinal_position": 205}, {"identifier": "O99", "position": [3, 5], "step": 205, "ordinal_position": 206}, {"identifier": "X69", "position": [3, 6], "step": 206, "ordinal_position": 207}, {"identifier": "K80", "position": [3, 7], "step": 207, "ordinal_position": 208}, {"identifier": "W48", "position": [2, 7], "step": 208, "ordinal_position": 209}, {"identifier": "H21", "position": [1, 7], "step": 209, "ordinal_position": 210}, {"identifier": "O10", "position": [1, 8], "step": 210, "ordinal_position": 211}, {"identifier": "O53", "position": [1, 9], "step": 211, "ordinal_position": 212}, {"identifier": "O64", "position": [2, 9], "step": 212, "ordinal_position": 213}, {"identifier": "Z54", "position": [3, 9], "step": 213, "ordinal_position": 214}, {"identifier": "K27", "position": [4, 9], "step": 214, "ordinal_position": 215}, {"identifier": "F96", "position": [5, 9], "step": 215, "ordinal_position": 216}, {"identifier": "M34", "position": [6, 9], "step": 216, "ordinal_position": 217}, {"identifier": "U99", "position": [7, 9], "step": 217, "ordinal_position": 218}, {"identifier": "C66", "position": [8, 9], "step": 218, "ordinal_position": 219}, {"identifier": "N59", "position": [9, 9], "step": 219, "ordinal_position": 220}, {"identifier": "Q99", "position": [9, 8], "step": 220, "ordinal_position": 221}, {"identifier": "Y00", "position": [9, 7], "step": 221, "ordinal_position": 222}, {"identifier": "S93", "position": [9, 6], "step": 222, "ordinal_position": 223}, {"identifier": "E87", "position": [9, 5], "step": 223, "ordinal_position": 224}, {"identifier": "M69", "position": [9, 4], "step": 224, "ordinal_position": 225}, {"identifier": "T69", "position": [9, 3], "step": 225, "ordinal_position": 226}, {"identifier": "P69", "position": [9, 2], "step": 226, "ordinal_position": 227}, {"identifier": "S54", "position": [9, 1], "step": 227, "ordinal_position": 228}, {"identifier": "R15", "position": [8, 1], "step": 228, "ordinal_position": 229}, {"identifier": "C33", "position": [7, 1], "step": 229, "ordinal_position": 230}, {"identifier": "M93", "position": [6, 1], "step": 230, "ordinal_position": 231}, {"identifier": "H41", "position": [5, 1], "step": 231, "ordinal_position": 232}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 232, "direction": "left", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_005.json"}} {"qa_id": "ef8d149d065e4687a8a231c37bdfc63b", "image_id": "L3-MazeLoop-test_11x11_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D13, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "D13", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "H73", "traversal_path": [{"identifier": "D13", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "S31", "position": [3, 2], "step": 1, "ordinal_position": 2}, {"identifier": "T81", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "H73", "position": [2, 3], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 4, "direction": "down", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_006.json"}} {"qa_id": "99a9ec5b67de4d8f801460afae8b0991", "image_id": "L3-MazeLoop-test_11x11_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A69, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "A69", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "I03", "traversal_path": [{"identifier": "A69", "position": [8, 5], "step": 0, "ordinal_position": 1}, {"identifier": "Y91", "position": [7, 5], "step": 1, "ordinal_position": 2}, {"identifier": "T28", "position": [7, 6], "step": 2, "ordinal_position": 3}, {"identifier": "Y70", "position": [7, 7], "step": 3, "ordinal_position": 4}, {"identifier": "J12", "position": [7, 8], "step": 4, "ordinal_position": 5}, {"identifier": "I03", "position": [7, 9], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 6, "direction": "left", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_006.json"}} {"qa_id": "682621d1f8634dada2aea2de99dca13b", "image_id": "L3-MazeLoop-test_11x11_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P45, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "P45", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "N63", "traversal_path": [{"identifier": "P45", "position": [9, 3], "step": 0, "ordinal_position": 1}, {"identifier": "Y46", "position": [8, 3], "step": 1, "ordinal_position": 2}, {"identifier": "Q29", "position": [7, 3], "step": 2, "ordinal_position": 3}, {"identifier": "N63", "position": [7, 2], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 4, "direction": "left", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_006.json"}} {"qa_id": "0157195de2134ad3a2c47c269c0eb5b9", "image_id": "L3-MazeLoop-test_11x11_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z40, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 11th position in this traversal?", "start_object_id": "Z40", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [11], "ordinal_strings": ["11th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "G92", "traversal_path": [{"identifier": "Z40", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "V16", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "P94", "position": [5, 4], "step": 2, "ordinal_position": 3}, {"identifier": "Y13", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "H59", "position": [4, 5], "step": 4, "ordinal_position": 5}, {"identifier": "V60", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "P55", "position": [2, 5], "step": 6, "ordinal_position": 7}, {"identifier": "K04", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "S07", "position": [1, 4], "step": 8, "ordinal_position": 9}, {"identifier": "Z33", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "G92", "position": [1, 2], "step": 10, "ordinal_position": 11}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 11, "direction": "down", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_006.json"}} {"qa_id": "573fa3286ffd4d46881f2ed1f31b9361", "image_id": "L3-MazeLoop-test_11x11_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U01, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "U01", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Y91", "traversal_path": [{"identifier": "U01", "position": [8, 1], "step": 0, "ordinal_position": 1}, {"identifier": "M79", "position": [9, 1], "step": 1, "ordinal_position": 2}, {"identifier": "R32", "position": [9, 2], "step": 2, "ordinal_position": 3}, {"identifier": "P45", "position": [9, 3], "step": 3, "ordinal_position": 4}, {"identifier": "E78", "position": [9, 4], "step": 4, "ordinal_position": 5}, {"identifier": "D64", "position": [9, 5], "step": 5, "ordinal_position": 6}, {"identifier": "A69", "position": [8, 5], "step": 6, "ordinal_position": 7}, {"identifier": "Y91", "position": [7, 5], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 8, "direction": "right", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_006.json"}} {"qa_id": "08e8d86d5c414d3298143024e43b5121", "image_id": "L3-MazeLoop-test_11x11_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z33, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 28th position in this traversal?", "start_object_id": "Z33", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [28], "ordinal_strings": ["28th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "A69", "traversal_path": [{"identifier": "Z33", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "H73", "position": [2, 3], "step": 1, "ordinal_position": 2}, {"identifier": "T81", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "S31", "position": [3, 2], "step": 3, "ordinal_position": 4}, {"identifier": "D13", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "D93", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "P56", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "G92", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "Z33", "position": [1, 3], "step": 8, "ordinal_position": 9}, {"identifier": "S07", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "K04", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "P55", "position": [2, 5], "step": 11, "ordinal_position": 12}, {"identifier": "V60", "position": [3, 5], "step": 12, "ordinal_position": 13}, {"identifier": "H59", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "Y13", "position": [5, 5], "step": 14, "ordinal_position": 15}, {"identifier": "P94", "position": [5, 4], "step": 15, "ordinal_position": 16}, {"identifier": "V16", "position": [5, 3], "step": 16, "ordinal_position": 17}, {"identifier": "Z40", "position": [5, 2], "step": 17, "ordinal_position": 18}, {"identifier": "A51", "position": [5, 1], "step": 18, "ordinal_position": 19}, {"identifier": "D67", "position": [6, 1], "step": 19, "ordinal_position": 20}, {"identifier": "M42", "position": [7, 1], "step": 20, "ordinal_position": 21}, {"identifier": "U01", "position": [8, 1], "step": 21, "ordinal_position": 22}, {"identifier": "M79", "position": [9, 1], "step": 22, "ordinal_position": 23}, {"identifier": "R32", "position": [9, 2], "step": 23, "ordinal_position": 24}, {"identifier": "P45", "position": [9, 3], "step": 24, "ordinal_position": 25}, {"identifier": "E78", "position": [9, 4], "step": 25, "ordinal_position": 26}, {"identifier": "D64", "position": [9, 5], "step": 26, "ordinal_position": 27}, {"identifier": "A69", "position": [8, 5], "step": 27, "ordinal_position": 28}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 28, "direction": "right", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_006.json"}} {"qa_id": "db0898bcee8544e8a9be1ceebf55f605", "image_id": "L3-MazeLoop-test_11x11_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P34, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 33rd position in this traversal?", "start_object_id": "P34", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [33], "ordinal_strings": ["33rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "P34", "traversal_path": [{"identifier": "P34", "position": [9, 8], "step": 0, "ordinal_position": 1}, {"identifier": "V51", "position": [9, 7], "step": 1, "ordinal_position": 2}, {"identifier": "E89", "position": [8, 7], "step": 2, "ordinal_position": 3}, {"identifier": "Y70", "position": [7, 7], "step": 3, "ordinal_position": 4}, {"identifier": "J12", "position": [7, 8], "step": 4, "ordinal_position": 5}, {"identifier": "I03", "position": [7, 9], "step": 5, "ordinal_position": 6}, {"identifier": "F19", "position": [8, 9], "step": 6, "ordinal_position": 7}, {"identifier": "Y32", "position": [9, 9], "step": 7, "ordinal_position": 8}, {"identifier": "P34", "position": [9, 8], "step": 8, "ordinal_position": 9}, {"identifier": "V51", "position": [9, 7], "step": 9, "ordinal_position": 10}, {"identifier": "E89", "position": [8, 7], "step": 10, "ordinal_position": 11}, {"identifier": "Y70", "position": [7, 7], "step": 11, "ordinal_position": 12}, {"identifier": "J12", "position": [7, 8], "step": 12, "ordinal_position": 13}, {"identifier": "I03", "position": [7, 9], "step": 13, "ordinal_position": 14}, {"identifier": "F19", "position": [8, 9], "step": 14, "ordinal_position": 15}, {"identifier": "Y32", "position": [9, 9], "step": 15, "ordinal_position": 16}, {"identifier": "P34", "position": [9, 8], "step": 16, "ordinal_position": 17}, {"identifier": "V51", "position": [9, 7], "step": 17, "ordinal_position": 18}, {"identifier": "E89", "position": [8, 7], "step": 18, "ordinal_position": 19}, {"identifier": "Y70", "position": [7, 7], "step": 19, "ordinal_position": 20}, {"identifier": "J12", "position": [7, 8], "step": 20, "ordinal_position": 21}, {"identifier": "I03", "position": [7, 9], "step": 21, "ordinal_position": 22}, {"identifier": "F19", "position": [8, 9], "step": 22, "ordinal_position": 23}, {"identifier": "Y32", "position": [9, 9], "step": 23, "ordinal_position": 24}, {"identifier": "P34", "position": [9, 8], "step": 24, "ordinal_position": 25}, {"identifier": "V51", "position": [9, 7], "step": 25, "ordinal_position": 26}, {"identifier": "E89", "position": [8, 7], "step": 26, "ordinal_position": 27}, {"identifier": "Y70", "position": [7, 7], "step": 27, "ordinal_position": 28}, {"identifier": "J12", "position": [7, 8], "step": 28, "ordinal_position": 29}, {"identifier": "I03", "position": [7, 9], "step": 29, "ordinal_position": 30}, {"identifier": "F19", "position": [8, 9], "step": 30, "ordinal_position": 31}, {"identifier": "Y32", "position": [9, 9], "step": 31, "ordinal_position": 32}, {"identifier": "P34", "position": [9, 8], "step": 32, "ordinal_position": 33}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 33, "direction": "up", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_006.json"}} {"qa_id": "431098f236404813a2e191d7136ab363", "image_id": "L3-MazeLoop-test_11x11_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q29, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 51st position in this traversal?", "start_object_id": "Q29", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [51], "ordinal_strings": ["51st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "V51", "traversal_path": [{"identifier": "Q29", "position": [7, 3], "step": 0, "ordinal_position": 1}, {"identifier": "N63", "position": [7, 2], "step": 1, "ordinal_position": 2}, {"identifier": "M42", "position": [7, 1], "step": 2, "ordinal_position": 3}, {"identifier": "D67", "position": [6, 1], "step": 3, "ordinal_position": 4}, {"identifier": "A51", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Z40", "position": [5, 2], "step": 5, "ordinal_position": 6}, {"identifier": "V16", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "P94", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "Y13", "position": [5, 5], "step": 8, "ordinal_position": 9}, {"identifier": "H59", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "V60", "position": [3, 5], "step": 10, "ordinal_position": 11}, {"identifier": "P55", "position": [2, 5], "step": 11, "ordinal_position": 12}, {"identifier": "K04", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "S07", "position": [1, 4], "step": 13, "ordinal_position": 14}, {"identifier": "Z33", "position": [1, 3], "step": 14, "ordinal_position": 15}, {"identifier": "G92", "position": [1, 2], "step": 15, "ordinal_position": 16}, {"identifier": "P56", "position": [1, 1], "step": 16, "ordinal_position": 17}, {"identifier": "D93", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "D13", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "S31", "position": [3, 2], "step": 19, "ordinal_position": 20}, {"identifier": "T81", "position": [3, 3], "step": 20, "ordinal_position": 21}, {"identifier": "H73", "position": [2, 3], "step": 21, "ordinal_position": 22}, {"identifier": "Z33", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "S07", "position": [1, 4], "step": 23, "ordinal_position": 24}, {"identifier": "K04", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "P55", "position": [2, 5], "step": 25, "ordinal_position": 26}, {"identifier": "V60", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "H59", "position": [4, 5], "step": 27, "ordinal_position": 28}, {"identifier": "Y13", "position": [5, 5], "step": 28, "ordinal_position": 29}, {"identifier": "P94", "position": [5, 4], "step": 29, "ordinal_position": 30}, {"identifier": "V16", "position": [5, 3], "step": 30, "ordinal_position": 31}, {"identifier": "Z40", "position": [5, 2], "step": 31, "ordinal_position": 32}, {"identifier": "A51", "position": [5, 1], "step": 32, "ordinal_position": 33}, {"identifier": "D67", "position": [6, 1], "step": 33, "ordinal_position": 34}, {"identifier": "M42", "position": [7, 1], "step": 34, "ordinal_position": 35}, {"identifier": "U01", "position": [8, 1], "step": 35, "ordinal_position": 36}, {"identifier": "M79", "position": [9, 1], "step": 36, "ordinal_position": 37}, {"identifier": "R32", "position": [9, 2], "step": 37, "ordinal_position": 38}, {"identifier": "P45", "position": [9, 3], "step": 38, "ordinal_position": 39}, {"identifier": "E78", "position": [9, 4], "step": 39, "ordinal_position": 40}, {"identifier": "D64", "position": [9, 5], "step": 40, "ordinal_position": 41}, {"identifier": "A69", "position": [8, 5], "step": 41, "ordinal_position": 42}, {"identifier": "Y91", "position": [7, 5], "step": 42, "ordinal_position": 43}, {"identifier": "T28", "position": [7, 6], "step": 43, "ordinal_position": 44}, {"identifier": "Y70", "position": [7, 7], "step": 44, "ordinal_position": 45}, {"identifier": "J12", "position": [7, 8], "step": 45, "ordinal_position": 46}, {"identifier": "I03", "position": [7, 9], "step": 46, "ordinal_position": 47}, {"identifier": "F19", "position": [8, 9], "step": 47, "ordinal_position": 48}, {"identifier": "Y32", "position": [9, 9], "step": 48, "ordinal_position": 49}, {"identifier": "P34", "position": [9, 8], "step": 49, "ordinal_position": 50}, {"identifier": "V51", "position": [9, 7], "step": 50, "ordinal_position": 51}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 51, "direction": "up", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_006.json"}} {"qa_id": "a3b89fb57a0045a6a5991808a6864a8b", "image_id": "L3-MazeLoop-test_11x11_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C20, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 14th position in this traversal?", "start_object_id": "C20", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [14], "ordinal_strings": ["14th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "J12", "traversal_path": [{"identifier": "C20", "position": [3, 7], "step": 0, "ordinal_position": 1}, {"identifier": "W84", "position": [4, 7], "step": 1, "ordinal_position": 2}, {"identifier": "Q75", "position": [5, 7], "step": 2, "ordinal_position": 3}, {"identifier": "S27", "position": [5, 8], "step": 3, "ordinal_position": 4}, {"identifier": "L84", "position": [5, 9], "step": 4, "ordinal_position": 5}, {"identifier": "D51", "position": [6, 9], "step": 5, "ordinal_position": 6}, {"identifier": "I03", "position": [7, 9], "step": 6, "ordinal_position": 7}, {"identifier": "F19", "position": [8, 9], "step": 7, "ordinal_position": 8}, {"identifier": "Y32", "position": [9, 9], "step": 8, "ordinal_position": 9}, {"identifier": "P34", "position": [9, 8], "step": 9, "ordinal_position": 10}, {"identifier": "V51", "position": [9, 7], "step": 10, "ordinal_position": 11}, {"identifier": "E89", "position": [8, 7], "step": 11, "ordinal_position": 12}, {"identifier": "Y70", "position": [7, 7], "step": 12, "ordinal_position": 13}, {"identifier": "J12", "position": [7, 8], "step": 13, "ordinal_position": 14}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 14, "direction": "right", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_006.json"}} {"qa_id": "0e9bd5d5ceae49349c5382ec8a637e1f", "image_id": "L3-MazeLoop-test_11x11_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F19, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 17th position in this traversal?", "start_object_id": "F19", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [17], "ordinal_strings": ["17th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "R46", "traversal_path": [{"identifier": "F19", "position": [8, 9], "step": 0, "ordinal_position": 1}, {"identifier": "I03", "position": [7, 9], "step": 1, "ordinal_position": 2}, {"identifier": "D51", "position": [6, 9], "step": 2, "ordinal_position": 3}, {"identifier": "L84", "position": [5, 9], "step": 3, "ordinal_position": 4}, {"identifier": "R46", "position": [4, 9], "step": 4, "ordinal_position": 5}, {"identifier": "M53", "position": [3, 9], "step": 5, "ordinal_position": 6}, {"identifier": "F65", "position": [2, 9], "step": 6, "ordinal_position": 7}, {"identifier": "I59", "position": [1, 9], "step": 7, "ordinal_position": 8}, {"identifier": "U48", "position": [1, 8], "step": 8, "ordinal_position": 9}, {"identifier": "K97", "position": [1, 7], "step": 9, "ordinal_position": 10}, {"identifier": "V38", "position": [2, 7], "step": 10, "ordinal_position": 11}, {"identifier": "C20", "position": [3, 7], "step": 11, "ordinal_position": 12}, {"identifier": "W84", "position": [4, 7], "step": 12, "ordinal_position": 13}, {"identifier": "Q75", "position": [5, 7], "step": 13, "ordinal_position": 14}, {"identifier": "S27", "position": [5, 8], "step": 14, "ordinal_position": 15}, {"identifier": "L84", "position": [5, 9], "step": 15, "ordinal_position": 16}, {"identifier": "R46", "position": [4, 9], "step": 16, "ordinal_position": 17}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 17, "direction": "left", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_006.json"}} {"qa_id": "fd18eb7ad65a40e28aa0e2776577f07f", "image_id": "L3-MazeLoop-test_11x11_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H59, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 111th position in this traversal?", "start_object_id": "H59", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [111], "ordinal_strings": ["111th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "F19", "traversal_path": [{"identifier": "H59", "position": [4, 5], "step": 0, "ordinal_position": 1}, {"identifier": "V60", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "P55", "position": [2, 5], "step": 2, "ordinal_position": 3}, {"identifier": "K04", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "S07", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "Z33", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "G92", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "P56", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "D93", "position": [2, 1], "step": 8, "ordinal_position": 9}, {"identifier": "D13", "position": [3, 1], "step": 9, "ordinal_position": 10}, {"identifier": "S31", "position": [3, 2], "step": 10, "ordinal_position": 11}, {"identifier": "T81", "position": [3, 3], "step": 11, "ordinal_position": 12}, {"identifier": "H73", "position": [2, 3], "step": 12, "ordinal_position": 13}, {"identifier": "Z33", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "S07", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "K04", "position": [1, 5], "step": 15, "ordinal_position": 16}, {"identifier": "P55", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "V60", "position": [3, 5], "step": 17, "ordinal_position": 18}, {"identifier": "H59", "position": [4, 5], "step": 18, "ordinal_position": 19}, {"identifier": "Y13", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "P94", "position": [5, 4], "step": 20, "ordinal_position": 21}, {"identifier": "V16", "position": [5, 3], "step": 21, "ordinal_position": 22}, {"identifier": "Z40", "position": [5, 2], "step": 22, "ordinal_position": 23}, {"identifier": "A51", "position": [5, 1], "step": 23, "ordinal_position": 24}, {"identifier": "D67", "position": [6, 1], "step": 24, "ordinal_position": 25}, {"identifier": "M42", "position": [7, 1], "step": 25, "ordinal_position": 26}, {"identifier": "U01", "position": [8, 1], "step": 26, "ordinal_position": 27}, {"identifier": "M79", "position": [9, 1], "step": 27, "ordinal_position": 28}, {"identifier": "R32", "position": [9, 2], "step": 28, "ordinal_position": 29}, {"identifier": "P45", "position": [9, 3], "step": 29, "ordinal_position": 30}, {"identifier": "E78", "position": [9, 4], "step": 30, "ordinal_position": 31}, {"identifier": "D64", "position": [9, 5], "step": 31, "ordinal_position": 32}, {"identifier": "A69", "position": [8, 5], "step": 32, "ordinal_position": 33}, {"identifier": "Y91", "position": [7, 5], "step": 33, "ordinal_position": 34}, {"identifier": "T28", "position": [7, 6], "step": 34, "ordinal_position": 35}, {"identifier": "Y70", "position": [7, 7], "step": 35, "ordinal_position": 36}, {"identifier": "J12", "position": [7, 8], "step": 36, "ordinal_position": 37}, {"identifier": "I03", "position": [7, 9], "step": 37, "ordinal_position": 38}, {"identifier": "F19", "position": [8, 9], "step": 38, "ordinal_position": 39}, {"identifier": "Y32", "position": [9, 9], "step": 39, "ordinal_position": 40}, {"identifier": "P34", "position": [9, 8], "step": 40, "ordinal_position": 41}, {"identifier": "V51", "position": [9, 7], "step": 41, "ordinal_position": 42}, {"identifier": "E89", "position": [8, 7], "step": 42, "ordinal_position": 43}, {"identifier": "Y70", "position": [7, 7], "step": 43, "ordinal_position": 44}, {"identifier": "J12", "position": [7, 8], "step": 44, "ordinal_position": 45}, {"identifier": "I03", "position": [7, 9], "step": 45, "ordinal_position": 46}, {"identifier": "F19", "position": [8, 9], "step": 46, "ordinal_position": 47}, {"identifier": "Y32", "position": [9, 9], "step": 47, "ordinal_position": 48}, {"identifier": "P34", "position": [9, 8], "step": 48, "ordinal_position": 49}, {"identifier": "V51", "position": [9, 7], "step": 49, "ordinal_position": 50}, {"identifier": "E89", "position": [8, 7], "step": 50, "ordinal_position": 51}, {"identifier": "Y70", "position": [7, 7], "step": 51, "ordinal_position": 52}, {"identifier": "J12", "position": [7, 8], "step": 52, "ordinal_position": 53}, {"identifier": "I03", "position": [7, 9], "step": 53, "ordinal_position": 54}, {"identifier": "F19", "position": [8, 9], "step": 54, "ordinal_position": 55}, {"identifier": "Y32", "position": [9, 9], "step": 55, "ordinal_position": 56}, {"identifier": "P34", "position": [9, 8], "step": 56, "ordinal_position": 57}, {"identifier": "V51", "position": [9, 7], "step": 57, "ordinal_position": 58}, {"identifier": "E89", "position": [8, 7], "step": 58, "ordinal_position": 59}, {"identifier": "Y70", "position": [7, 7], "step": 59, "ordinal_position": 60}, {"identifier": "J12", "position": [7, 8], "step": 60, "ordinal_position": 61}, {"identifier": "I03", "position": [7, 9], "step": 61, "ordinal_position": 62}, {"identifier": "F19", "position": [8, 9], "step": 62, "ordinal_position": 63}, {"identifier": "Y32", "position": [9, 9], "step": 63, "ordinal_position": 64}, {"identifier": "P34", "position": [9, 8], "step": 64, "ordinal_position": 65}, {"identifier": "V51", "position": [9, 7], "step": 65, "ordinal_position": 66}, {"identifier": "E89", "position": [8, 7], "step": 66, "ordinal_position": 67}, {"identifier": "Y70", "position": [7, 7], "step": 67, "ordinal_position": 68}, {"identifier": "J12", "position": [7, 8], "step": 68, "ordinal_position": 69}, {"identifier": "I03", "position": [7, 9], "step": 69, "ordinal_position": 70}, {"identifier": "F19", "position": [8, 9], "step": 70, "ordinal_position": 71}, {"identifier": "Y32", "position": [9, 9], "step": 71, "ordinal_position": 72}, {"identifier": "P34", "position": [9, 8], "step": 72, "ordinal_position": 73}, {"identifier": "V51", "position": [9, 7], "step": 73, "ordinal_position": 74}, {"identifier": "E89", "position": [8, 7], "step": 74, "ordinal_position": 75}, {"identifier": "Y70", "position": [7, 7], "step": 75, "ordinal_position": 76}, {"identifier": "J12", "position": [7, 8], "step": 76, "ordinal_position": 77}, {"identifier": "I03", "position": [7, 9], "step": 77, "ordinal_position": 78}, {"identifier": "F19", "position": [8, 9], "step": 78, "ordinal_position": 79}, {"identifier": "Y32", "position": [9, 9], "step": 79, "ordinal_position": 80}, {"identifier": "P34", "position": [9, 8], "step": 80, "ordinal_position": 81}, {"identifier": "V51", "position": [9, 7], "step": 81, "ordinal_position": 82}, {"identifier": "E89", "position": [8, 7], "step": 82, "ordinal_position": 83}, {"identifier": "Y70", "position": [7, 7], "step": 83, "ordinal_position": 84}, {"identifier": "J12", "position": [7, 8], "step": 84, "ordinal_position": 85}, {"identifier": "I03", "position": [7, 9], "step": 85, "ordinal_position": 86}, {"identifier": "F19", "position": [8, 9], "step": 86, "ordinal_position": 87}, {"identifier": "Y32", "position": [9, 9], "step": 87, "ordinal_position": 88}, {"identifier": "P34", "position": [9, 8], "step": 88, "ordinal_position": 89}, {"identifier": "V51", "position": [9, 7], "step": 89, "ordinal_position": 90}, {"identifier": "E89", "position": [8, 7], "step": 90, "ordinal_position": 91}, {"identifier": "Y70", "position": [7, 7], "step": 91, "ordinal_position": 92}, {"identifier": "J12", "position": [7, 8], "step": 92, "ordinal_position": 93}, {"identifier": "I03", "position": [7, 9], "step": 93, "ordinal_position": 94}, {"identifier": "F19", "position": [8, 9], "step": 94, "ordinal_position": 95}, {"identifier": "Y32", "position": [9, 9], "step": 95, "ordinal_position": 96}, {"identifier": "P34", "position": [9, 8], "step": 96, "ordinal_position": 97}, {"identifier": "V51", "position": [9, 7], "step": 97, "ordinal_position": 98}, {"identifier": "E89", "position": [8, 7], "step": 98, "ordinal_position": 99}, {"identifier": "Y70", "position": [7, 7], "step": 99, "ordinal_position": 100}, {"identifier": "J12", "position": [7, 8], "step": 100, "ordinal_position": 101}, {"identifier": "I03", "position": [7, 9], "step": 101, "ordinal_position": 102}, {"identifier": "F19", "position": [8, 9], "step": 102, "ordinal_position": 103}, {"identifier": "Y32", "position": [9, 9], "step": 103, "ordinal_position": 104}, {"identifier": "P34", "position": [9, 8], "step": 104, "ordinal_position": 105}, {"identifier": "V51", "position": [9, 7], "step": 105, "ordinal_position": 106}, {"identifier": "E89", "position": [8, 7], "step": 106, "ordinal_position": 107}, {"identifier": "Y70", "position": [7, 7], "step": 107, "ordinal_position": 108}, {"identifier": "J12", "position": [7, 8], "step": 108, "ordinal_position": 109}, {"identifier": "I03", "position": [7, 9], "step": 109, "ordinal_position": 110}, {"identifier": "F19", "position": [8, 9], "step": 110, "ordinal_position": 111}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 111, "direction": "left", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_006.json"}} {"qa_id": "b6092291d9a644d898545ed26a7bb9f7", "image_id": "L3-MazeLoop-test_11x11_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U01, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 158th position in this traversal?", "start_object_id": "U01", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [158], "ordinal_strings": ["158th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "L84", "traversal_path": [{"identifier": "U01", "position": [8, 1], "step": 0, "ordinal_position": 1}, {"identifier": "M79", "position": [9, 1], "step": 1, "ordinal_position": 2}, {"identifier": "R32", "position": [9, 2], "step": 2, "ordinal_position": 3}, {"identifier": "P45", "position": [9, 3], "step": 3, "ordinal_position": 4}, {"identifier": "E78", "position": [9, 4], "step": 4, "ordinal_position": 5}, {"identifier": "D64", "position": [9, 5], "step": 5, "ordinal_position": 6}, {"identifier": "A69", "position": [8, 5], "step": 6, "ordinal_position": 7}, {"identifier": "Y91", "position": [7, 5], "step": 7, "ordinal_position": 8}, {"identifier": "T28", "position": [7, 6], "step": 8, "ordinal_position": 9}, {"identifier": "Y70", "position": [7, 7], "step": 9, "ordinal_position": 10}, {"identifier": "J12", "position": [7, 8], "step": 10, "ordinal_position": 11}, {"identifier": "I03", "position": [7, 9], "step": 11, "ordinal_position": 12}, {"identifier": "D51", "position": [6, 9], "step": 12, "ordinal_position": 13}, {"identifier": "L84", "position": [5, 9], "step": 13, "ordinal_position": 14}, {"identifier": "R46", "position": [4, 9], "step": 14, "ordinal_position": 15}, {"identifier": "M53", "position": [3, 9], "step": 15, "ordinal_position": 16}, {"identifier": "F65", "position": [2, 9], "step": 16, "ordinal_position": 17}, {"identifier": "I59", "position": [1, 9], "step": 17, "ordinal_position": 18}, {"identifier": "U48", "position": [1, 8], "step": 18, "ordinal_position": 19}, {"identifier": "K97", "position": [1, 7], "step": 19, "ordinal_position": 20}, {"identifier": "V38", "position": [2, 7], "step": 20, "ordinal_position": 21}, {"identifier": "C20", "position": [3, 7], "step": 21, "ordinal_position": 22}, {"identifier": "W84", "position": [4, 7], "step": 22, "ordinal_position": 23}, {"identifier": "Q75", "position": [5, 7], "step": 23, "ordinal_position": 24}, {"identifier": "S27", "position": [5, 8], "step": 24, "ordinal_position": 25}, {"identifier": "L84", "position": [5, 9], "step": 25, "ordinal_position": 26}, {"identifier": "R46", "position": [4, 9], "step": 26, "ordinal_position": 27}, {"identifier": "M53", "position": [3, 9], "step": 27, "ordinal_position": 28}, {"identifier": "F65", "position": [2, 9], "step": 28, "ordinal_position": 29}, {"identifier": "I59", "position": [1, 9], "step": 29, "ordinal_position": 30}, {"identifier": "U48", "position": [1, 8], "step": 30, "ordinal_position": 31}, {"identifier": "K97", "position": [1, 7], "step": 31, "ordinal_position": 32}, {"identifier": "V38", "position": [2, 7], "step": 32, "ordinal_position": 33}, {"identifier": "C20", "position": [3, 7], "step": 33, "ordinal_position": 34}, {"identifier": "W84", "position": [4, 7], "step": 34, "ordinal_position": 35}, {"identifier": "Q75", "position": [5, 7], "step": 35, "ordinal_position": 36}, {"identifier": "S27", "position": [5, 8], "step": 36, "ordinal_position": 37}, {"identifier": "L84", "position": [5, 9], "step": 37, "ordinal_position": 38}, {"identifier": "R46", "position": [4, 9], "step": 38, "ordinal_position": 39}, {"identifier": "M53", "position": [3, 9], "step": 39, "ordinal_position": 40}, {"identifier": "F65", "position": [2, 9], "step": 40, "ordinal_position": 41}, {"identifier": "I59", "position": [1, 9], "step": 41, "ordinal_position": 42}, {"identifier": "U48", "position": [1, 8], "step": 42, "ordinal_position": 43}, {"identifier": "K97", "position": [1, 7], "step": 43, "ordinal_position": 44}, {"identifier": "V38", "position": [2, 7], "step": 44, "ordinal_position": 45}, {"identifier": "C20", "position": [3, 7], "step": 45, "ordinal_position": 46}, {"identifier": "W84", "position": [4, 7], "step": 46, "ordinal_position": 47}, {"identifier": "Q75", "position": [5, 7], "step": 47, "ordinal_position": 48}, {"identifier": "S27", "position": [5, 8], "step": 48, "ordinal_position": 49}, {"identifier": "L84", "position": [5, 9], "step": 49, "ordinal_position": 50}, {"identifier": "R46", "position": [4, 9], "step": 50, "ordinal_position": 51}, {"identifier": "M53", "position": [3, 9], "step": 51, "ordinal_position": 52}, {"identifier": "F65", "position": [2, 9], "step": 52, "ordinal_position": 53}, {"identifier": "I59", "position": [1, 9], "step": 53, "ordinal_position": 54}, {"identifier": "U48", "position": [1, 8], "step": 54, "ordinal_position": 55}, {"identifier": "K97", "position": [1, 7], "step": 55, "ordinal_position": 56}, {"identifier": "V38", "position": [2, 7], "step": 56, "ordinal_position": 57}, {"identifier": "C20", "position": [3, 7], "step": 57, "ordinal_position": 58}, {"identifier": "W84", "position": [4, 7], "step": 58, "ordinal_position": 59}, {"identifier": "Q75", "position": [5, 7], "step": 59, "ordinal_position": 60}, {"identifier": "S27", "position": [5, 8], "step": 60, "ordinal_position": 61}, {"identifier": "L84", "position": [5, 9], "step": 61, "ordinal_position": 62}, {"identifier": "R46", "position": [4, 9], "step": 62, "ordinal_position": 63}, {"identifier": "M53", "position": [3, 9], "step": 63, "ordinal_position": 64}, {"identifier": "F65", "position": [2, 9], "step": 64, "ordinal_position": 65}, {"identifier": "I59", "position": [1, 9], "step": 65, "ordinal_position": 66}, {"identifier": "U48", "position": [1, 8], "step": 66, "ordinal_position": 67}, {"identifier": "K97", "position": [1, 7], "step": 67, "ordinal_position": 68}, {"identifier": "V38", "position": [2, 7], "step": 68, "ordinal_position": 69}, {"identifier": "C20", "position": [3, 7], "step": 69, "ordinal_position": 70}, {"identifier": "W84", "position": [4, 7], "step": 70, "ordinal_position": 71}, {"identifier": "Q75", "position": [5, 7], "step": 71, "ordinal_position": 72}, {"identifier": "S27", "position": [5, 8], "step": 72, "ordinal_position": 73}, {"identifier": "L84", "position": [5, 9], "step": 73, "ordinal_position": 74}, {"identifier": "R46", "position": [4, 9], "step": 74, "ordinal_position": 75}, {"identifier": "M53", "position": [3, 9], "step": 75, "ordinal_position": 76}, {"identifier": "F65", "position": [2, 9], "step": 76, "ordinal_position": 77}, {"identifier": "I59", "position": [1, 9], "step": 77, "ordinal_position": 78}, {"identifier": "U48", "position": [1, 8], "step": 78, "ordinal_position": 79}, {"identifier": "K97", "position": [1, 7], "step": 79, "ordinal_position": 80}, {"identifier": "V38", "position": [2, 7], "step": 80, "ordinal_position": 81}, {"identifier": "C20", "position": [3, 7], "step": 81, "ordinal_position": 82}, {"identifier": "W84", "position": [4, 7], "step": 82, "ordinal_position": 83}, {"identifier": "Q75", "position": [5, 7], "step": 83, "ordinal_position": 84}, {"identifier": "S27", "position": [5, 8], "step": 84, "ordinal_position": 85}, {"identifier": "L84", "position": [5, 9], "step": 85, "ordinal_position": 86}, {"identifier": "R46", "position": [4, 9], "step": 86, "ordinal_position": 87}, {"identifier": "M53", "position": [3, 9], "step": 87, "ordinal_position": 88}, {"identifier": "F65", "position": [2, 9], "step": 88, "ordinal_position": 89}, {"identifier": "I59", "position": [1, 9], "step": 89, "ordinal_position": 90}, {"identifier": "U48", "position": [1, 8], "step": 90, "ordinal_position": 91}, {"identifier": "K97", "position": [1, 7], "step": 91, "ordinal_position": 92}, {"identifier": "V38", "position": [2, 7], "step": 92, "ordinal_position": 93}, {"identifier": "C20", "position": [3, 7], "step": 93, "ordinal_position": 94}, {"identifier": "W84", "position": [4, 7], "step": 94, "ordinal_position": 95}, {"identifier": "Q75", "position": [5, 7], "step": 95, "ordinal_position": 96}, {"identifier": "S27", "position": [5, 8], "step": 96, "ordinal_position": 97}, {"identifier": "L84", "position": [5, 9], "step": 97, "ordinal_position": 98}, {"identifier": "R46", "position": [4, 9], "step": 98, "ordinal_position": 99}, {"identifier": "M53", "position": [3, 9], "step": 99, "ordinal_position": 100}, {"identifier": "F65", "position": [2, 9], "step": 100, "ordinal_position": 101}, {"identifier": "I59", "position": [1, 9], "step": 101, "ordinal_position": 102}, {"identifier": "U48", "position": [1, 8], "step": 102, "ordinal_position": 103}, {"identifier": "K97", "position": [1, 7], "step": 103, "ordinal_position": 104}, {"identifier": "V38", "position": [2, 7], "step": 104, "ordinal_position": 105}, {"identifier": "C20", "position": [3, 7], "step": 105, "ordinal_position": 106}, {"identifier": "W84", "position": [4, 7], "step": 106, "ordinal_position": 107}, {"identifier": "Q75", "position": [5, 7], "step": 107, "ordinal_position": 108}, {"identifier": "S27", "position": [5, 8], "step": 108, "ordinal_position": 109}, {"identifier": "L84", "position": [5, 9], "step": 109, "ordinal_position": 110}, {"identifier": "R46", "position": [4, 9], "step": 110, "ordinal_position": 111}, {"identifier": "M53", "position": [3, 9], "step": 111, "ordinal_position": 112}, {"identifier": "F65", "position": [2, 9], "step": 112, "ordinal_position": 113}, {"identifier": "I59", "position": [1, 9], "step": 113, "ordinal_position": 114}, {"identifier": "U48", "position": [1, 8], "step": 114, "ordinal_position": 115}, {"identifier": "K97", "position": [1, 7], "step": 115, "ordinal_position": 116}, {"identifier": "V38", "position": [2, 7], "step": 116, "ordinal_position": 117}, {"identifier": "C20", "position": [3, 7], "step": 117, "ordinal_position": 118}, {"identifier": "W84", "position": [4, 7], "step": 118, "ordinal_position": 119}, {"identifier": "Q75", "position": [5, 7], "step": 119, "ordinal_position": 120}, {"identifier": "S27", "position": [5, 8], "step": 120, "ordinal_position": 121}, {"identifier": "L84", "position": [5, 9], "step": 121, "ordinal_position": 122}, {"identifier": "R46", "position": [4, 9], "step": 122, "ordinal_position": 123}, {"identifier": "M53", "position": [3, 9], "step": 123, "ordinal_position": 124}, {"identifier": "F65", "position": [2, 9], "step": 124, "ordinal_position": 125}, {"identifier": "I59", "position": [1, 9], "step": 125, "ordinal_position": 126}, {"identifier": "U48", "position": [1, 8], "step": 126, "ordinal_position": 127}, {"identifier": "K97", "position": [1, 7], "step": 127, "ordinal_position": 128}, {"identifier": "V38", "position": [2, 7], "step": 128, "ordinal_position": 129}, {"identifier": "C20", "position": [3, 7], "step": 129, "ordinal_position": 130}, {"identifier": "W84", "position": [4, 7], "step": 130, "ordinal_position": 131}, {"identifier": "Q75", "position": [5, 7], "step": 131, "ordinal_position": 132}, {"identifier": "S27", "position": [5, 8], "step": 132, "ordinal_position": 133}, {"identifier": "L84", "position": [5, 9], "step": 133, "ordinal_position": 134}, {"identifier": "R46", "position": [4, 9], "step": 134, "ordinal_position": 135}, {"identifier": "M53", "position": [3, 9], "step": 135, "ordinal_position": 136}, {"identifier": "F65", "position": [2, 9], "step": 136, "ordinal_position": 137}, {"identifier": "I59", "position": [1, 9], "step": 137, "ordinal_position": 138}, {"identifier": "U48", "position": [1, 8], "step": 138, "ordinal_position": 139}, {"identifier": "K97", "position": [1, 7], "step": 139, "ordinal_position": 140}, {"identifier": "V38", "position": [2, 7], "step": 140, "ordinal_position": 141}, {"identifier": "C20", "position": [3, 7], "step": 141, "ordinal_position": 142}, {"identifier": "W84", "position": [4, 7], "step": 142, "ordinal_position": 143}, {"identifier": "Q75", "position": [5, 7], "step": 143, "ordinal_position": 144}, {"identifier": "S27", "position": [5, 8], "step": 144, "ordinal_position": 145}, {"identifier": "L84", "position": [5, 9], "step": 145, "ordinal_position": 146}, {"identifier": "R46", "position": [4, 9], "step": 146, "ordinal_position": 147}, {"identifier": "M53", "position": [3, 9], "step": 147, "ordinal_position": 148}, {"identifier": "F65", "position": [2, 9], "step": 148, "ordinal_position": 149}, {"identifier": "I59", "position": [1, 9], "step": 149, "ordinal_position": 150}, {"identifier": "U48", "position": [1, 8], "step": 150, "ordinal_position": 151}, {"identifier": "K97", "position": [1, 7], "step": 151, "ordinal_position": 152}, {"identifier": "V38", "position": [2, 7], "step": 152, "ordinal_position": 153}, {"identifier": "C20", "position": [3, 7], "step": 153, "ordinal_position": 154}, {"identifier": "W84", "position": [4, 7], "step": 154, "ordinal_position": 155}, {"identifier": "Q75", "position": [5, 7], "step": 155, "ordinal_position": 156}, {"identifier": "S27", "position": [5, 8], "step": 156, "ordinal_position": 157}, {"identifier": "L84", "position": [5, 9], "step": 157, "ordinal_position": 158}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 158, "direction": "right", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_006.json"}} {"qa_id": "c6be72ee0a3e49ff81493a710ce87bc7", "image_id": "L3-MazeLoop-test_11x11_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P45, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 292nd position in this traversal?", "start_object_id": "P45", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [292], "ordinal_strings": ["292nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "P34", "traversal_path": [{"identifier": "P45", "position": [9, 3], "step": 0, "ordinal_position": 1}, {"identifier": "Y46", "position": [8, 3], "step": 1, "ordinal_position": 2}, {"identifier": "Q29", "position": [7, 3], "step": 2, "ordinal_position": 3}, {"identifier": "N63", "position": [7, 2], "step": 3, "ordinal_position": 4}, {"identifier": "M42", "position": [7, 1], "step": 4, "ordinal_position": 5}, {"identifier": "D67", "position": [6, 1], "step": 5, "ordinal_position": 6}, {"identifier": "A51", "position": [5, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Z40", "position": [5, 2], "step": 7, "ordinal_position": 8}, {"identifier": "V16", "position": [5, 3], "step": 8, "ordinal_position": 9}, {"identifier": "P94", "position": [5, 4], "step": 9, "ordinal_position": 10}, {"identifier": "Y13", "position": [5, 5], "step": 10, "ordinal_position": 11}, {"identifier": "H59", "position": [4, 5], "step": 11, "ordinal_position": 12}, {"identifier": "V60", "position": [3, 5], "step": 12, "ordinal_position": 13}, {"identifier": "P55", "position": [2, 5], "step": 13, "ordinal_position": 14}, {"identifier": "K04", "position": [1, 5], "step": 14, "ordinal_position": 15}, {"identifier": "S07", "position": [1, 4], "step": 15, "ordinal_position": 16}, {"identifier": "Z33", "position": [1, 3], "step": 16, "ordinal_position": 17}, {"identifier": "G92", "position": [1, 2], "step": 17, "ordinal_position": 18}, {"identifier": "P56", "position": [1, 1], "step": 18, "ordinal_position": 19}, {"identifier": "D93", "position": [2, 1], "step": 19, "ordinal_position": 20}, {"identifier": "D13", "position": [3, 1], "step": 20, "ordinal_position": 21}, {"identifier": "S31", "position": [3, 2], "step": 21, "ordinal_position": 22}, {"identifier": "T81", "position": [3, 3], "step": 22, "ordinal_position": 23}, {"identifier": "H73", "position": [2, 3], "step": 23, "ordinal_position": 24}, {"identifier": "Z33", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "S07", "position": [1, 4], "step": 25, "ordinal_position": 26}, {"identifier": "K04", "position": [1, 5], "step": 26, "ordinal_position": 27}, {"identifier": "P55", "position": [2, 5], "step": 27, "ordinal_position": 28}, {"identifier": "V60", "position": [3, 5], "step": 28, "ordinal_position": 29}, {"identifier": "H59", "position": [4, 5], "step": 29, "ordinal_position": 30}, {"identifier": "Y13", "position": [5, 5], "step": 30, "ordinal_position": 31}, {"identifier": "P94", "position": [5, 4], "step": 31, "ordinal_position": 32}, {"identifier": "V16", "position": [5, 3], "step": 32, "ordinal_position": 33}, {"identifier": "Z40", "position": [5, 2], "step": 33, "ordinal_position": 34}, {"identifier": "A51", "position": [5, 1], "step": 34, "ordinal_position": 35}, {"identifier": "D67", "position": [6, 1], "step": 35, "ordinal_position": 36}, {"identifier": "M42", "position": [7, 1], "step": 36, "ordinal_position": 37}, {"identifier": "U01", "position": [8, 1], "step": 37, "ordinal_position": 38}, {"identifier": "M79", "position": [9, 1], "step": 38, "ordinal_position": 39}, {"identifier": "R32", "position": [9, 2], "step": 39, "ordinal_position": 40}, {"identifier": "P45", "position": [9, 3], "step": 40, "ordinal_position": 41}, {"identifier": "E78", "position": [9, 4], "step": 41, "ordinal_position": 42}, {"identifier": "D64", "position": [9, 5], "step": 42, "ordinal_position": 43}, {"identifier": "A69", "position": [8, 5], "step": 43, "ordinal_position": 44}, {"identifier": "Y91", "position": [7, 5], "step": 44, "ordinal_position": 45}, {"identifier": "T28", "position": [7, 6], "step": 45, "ordinal_position": 46}, {"identifier": "Y70", "position": [7, 7], "step": 46, "ordinal_position": 47}, {"identifier": "J12", "position": [7, 8], "step": 47, "ordinal_position": 48}, {"identifier": "I03", "position": [7, 9], "step": 48, "ordinal_position": 49}, {"identifier": "F19", "position": [8, 9], "step": 49, "ordinal_position": 50}, {"identifier": "Y32", "position": [9, 9], "step": 50, "ordinal_position": 51}, {"identifier": "P34", "position": [9, 8], "step": 51, "ordinal_position": 52}, {"identifier": "V51", "position": [9, 7], "step": 52, "ordinal_position": 53}, {"identifier": "E89", "position": [8, 7], "step": 53, "ordinal_position": 54}, {"identifier": "Y70", "position": [7, 7], "step": 54, "ordinal_position": 55}, {"identifier": "J12", "position": [7, 8], "step": 55, "ordinal_position": 56}, {"identifier": "I03", "position": [7, 9], "step": 56, "ordinal_position": 57}, {"identifier": "F19", "position": [8, 9], "step": 57, "ordinal_position": 58}, {"identifier": "Y32", "position": [9, 9], "step": 58, "ordinal_position": 59}, {"identifier": "P34", "position": [9, 8], "step": 59, "ordinal_position": 60}, {"identifier": "V51", "position": [9, 7], "step": 60, "ordinal_position": 61}, {"identifier": "E89", "position": [8, 7], "step": 61, "ordinal_position": 62}, {"identifier": "Y70", "position": [7, 7], "step": 62, "ordinal_position": 63}, {"identifier": "J12", "position": [7, 8], "step": 63, "ordinal_position": 64}, {"identifier": "I03", "position": [7, 9], "step": 64, "ordinal_position": 65}, {"identifier": "F19", "position": [8, 9], "step": 65, "ordinal_position": 66}, {"identifier": "Y32", "position": [9, 9], "step": 66, "ordinal_position": 67}, {"identifier": "P34", "position": [9, 8], "step": 67, "ordinal_position": 68}, {"identifier": "V51", "position": [9, 7], "step": 68, "ordinal_position": 69}, {"identifier": "E89", "position": [8, 7], "step": 69, "ordinal_position": 70}, {"identifier": "Y70", "position": [7, 7], "step": 70, "ordinal_position": 71}, {"identifier": "J12", "position": [7, 8], "step": 71, "ordinal_position": 72}, {"identifier": "I03", "position": [7, 9], "step": 72, "ordinal_position": 73}, {"identifier": "F19", "position": [8, 9], "step": 73, "ordinal_position": 74}, {"identifier": "Y32", "position": [9, 9], "step": 74, "ordinal_position": 75}, {"identifier": "P34", "position": [9, 8], "step": 75, "ordinal_position": 76}, {"identifier": "V51", "position": [9, 7], "step": 76, "ordinal_position": 77}, {"identifier": "E89", "position": [8, 7], "step": 77, "ordinal_position": 78}, {"identifier": "Y70", "position": [7, 7], "step": 78, "ordinal_position": 79}, {"identifier": "J12", "position": [7, 8], "step": 79, "ordinal_position": 80}, {"identifier": "I03", "position": [7, 9], "step": 80, 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"position": [8, 7], "step": 93, "ordinal_position": 94}, {"identifier": "Y70", "position": [7, 7], "step": 94, "ordinal_position": 95}, {"identifier": "J12", "position": [7, 8], "step": 95, "ordinal_position": 96}, {"identifier": "I03", "position": [7, 9], "step": 96, "ordinal_position": 97}, {"identifier": "F19", "position": [8, 9], "step": 97, "ordinal_position": 98}, {"identifier": "Y32", "position": [9, 9], "step": 98, "ordinal_position": 99}, {"identifier": "P34", "position": [9, 8], "step": 99, "ordinal_position": 100}, {"identifier": "V51", "position": [9, 7], "step": 100, "ordinal_position": 101}, {"identifier": "E89", "position": [8, 7], "step": 101, "ordinal_position": 102}, {"identifier": "Y70", "position": [7, 7], "step": 102, "ordinal_position": 103}, {"identifier": "J12", "position": [7, 8], "step": 103, "ordinal_position": 104}, {"identifier": "I03", "position": [7, 9], "step": 104, "ordinal_position": 105}, {"identifier": "F19", "position": [8, 9], "step": 105, "ordinal_position": 106}, {"identifier": "Y32", "position": [9, 9], "step": 106, "ordinal_position": 107}, {"identifier": "P34", "position": [9, 8], "step": 107, "ordinal_position": 108}, {"identifier": "V51", "position": [9, 7], "step": 108, "ordinal_position": 109}, {"identifier": "E89", "position": [8, 7], "step": 109, "ordinal_position": 110}, {"identifier": "Y70", "position": [7, 7], "step": 110, "ordinal_position": 111}, {"identifier": "J12", "position": [7, 8], "step": 111, "ordinal_position": 112}, {"identifier": "I03", "position": [7, 9], "step": 112, "ordinal_position": 113}, {"identifier": "F19", "position": [8, 9], "step": 113, "ordinal_position": 114}, {"identifier": "Y32", "position": [9, 9], "step": 114, "ordinal_position": 115}, {"identifier": "P34", "position": [9, 8], "step": 115, "ordinal_position": 116}, {"identifier": "V51", "position": [9, 7], "step": 116, "ordinal_position": 117}, {"identifier": "E89", "position": [8, 7], "step": 117, "ordinal_position": 118}, {"identifier": "Y70", "position": [7, 7], "step": 118, "ordinal_position": 119}, {"identifier": "J12", "position": [7, 8], "step": 119, "ordinal_position": 120}, {"identifier": "I03", "position": [7, 9], "step": 120, "ordinal_position": 121}, {"identifier": "F19", "position": [8, 9], "step": 121, "ordinal_position": 122}, {"identifier": "Y32", "position": [9, 9], "step": 122, "ordinal_position": 123}, {"identifier": "P34", "position": [9, 8], "step": 123, "ordinal_position": 124}, {"identifier": "V51", "position": [9, 7], "step": 124, "ordinal_position": 125}, {"identifier": "E89", "position": [8, 7], "step": 125, "ordinal_position": 126}, {"identifier": "Y70", "position": [7, 7], "step": 126, "ordinal_position": 127}, {"identifier": "J12", "position": [7, 8], "step": 127, "ordinal_position": 128}, {"identifier": "I03", "position": [7, 9], "step": 128, "ordinal_position": 129}, {"identifier": "F19", "position": [8, 9], "step": 129, "ordinal_position": 130}, {"identifier": "Y32", 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142, "ordinal_position": 143}, {"identifier": "J12", "position": [7, 8], "step": 143, "ordinal_position": 144}, {"identifier": "I03", "position": [7, 9], "step": 144, "ordinal_position": 145}, {"identifier": "F19", "position": [8, 9], "step": 145, "ordinal_position": 146}, {"identifier": "Y32", "position": [9, 9], "step": 146, "ordinal_position": 147}, {"identifier": "P34", "position": [9, 8], "step": 147, "ordinal_position": 148}, {"identifier": "V51", "position": [9, 7], "step": 148, "ordinal_position": 149}, {"identifier": "E89", "position": [8, 7], "step": 149, "ordinal_position": 150}, {"identifier": "Y70", "position": [7, 7], "step": 150, "ordinal_position": 151}, {"identifier": "J12", "position": [7, 8], "step": 151, "ordinal_position": 152}, {"identifier": "I03", "position": [7, 9], "step": 152, "ordinal_position": 153}, {"identifier": "F19", "position": [8, 9], "step": 153, "ordinal_position": 154}, {"identifier": "Y32", "position": [9, 9], "step": 154, "ordinal_position": 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192}, {"identifier": "I03", "position": [7, 9], "step": 192, "ordinal_position": 193}, {"identifier": "F19", "position": [8, 9], "step": 193, "ordinal_position": 194}, {"identifier": "Y32", "position": [9, 9], "step": 194, "ordinal_position": 195}, {"identifier": "P34", "position": [9, 8], "step": 195, "ordinal_position": 196}, {"identifier": "V51", "position": [9, 7], "step": 196, "ordinal_position": 197}, {"identifier": "E89", "position": [8, 7], "step": 197, "ordinal_position": 198}, {"identifier": "Y70", "position": [7, 7], "step": 198, "ordinal_position": 199}, {"identifier": "J12", "position": [7, 8], "step": 199, "ordinal_position": 200}, {"identifier": "I03", "position": [7, 9], "step": 200, "ordinal_position": 201}, {"identifier": "F19", "position": [8, 9], "step": 201, "ordinal_position": 202}, {"identifier": "Y32", "position": [9, 9], "step": 202, "ordinal_position": 203}, {"identifier": "P34", "position": [9, 8], "step": 203, "ordinal_position": 204}, {"identifier": "V51", 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"position": [8, 9], "step": 241, "ordinal_position": 242}, {"identifier": "Y32", "position": [9, 9], "step": 242, "ordinal_position": 243}, {"identifier": "P34", "position": [9, 8], "step": 243, "ordinal_position": 244}, {"identifier": "V51", "position": [9, 7], "step": 244, "ordinal_position": 245}, {"identifier": "E89", "position": [8, 7], "step": 245, "ordinal_position": 246}, {"identifier": "Y70", "position": [7, 7], "step": 246, "ordinal_position": 247}, {"identifier": "J12", "position": [7, 8], "step": 247, "ordinal_position": 248}, {"identifier": "I03", "position": [7, 9], "step": 248, "ordinal_position": 249}, {"identifier": "F19", "position": [8, 9], "step": 249, "ordinal_position": 250}, {"identifier": "Y32", "position": [9, 9], "step": 250, "ordinal_position": 251}, {"identifier": "P34", "position": [9, 8], "step": 251, "ordinal_position": 252}, {"identifier": "V51", "position": [9, 7], "step": 252, "ordinal_position": 253}, {"identifier": "E89", "position": [8, 7], "step": 253, "ordinal_position": 254}, {"identifier": "Y70", "position": [7, 7], "step": 254, "ordinal_position": 255}, {"identifier": "J12", "position": [7, 8], "step": 255, "ordinal_position": 256}, {"identifier": "I03", "position": [7, 9], "step": 256, "ordinal_position": 257}, {"identifier": "F19", "position": [8, 9], "step": 257, "ordinal_position": 258}, {"identifier": "Y32", "position": [9, 9], "step": 258, "ordinal_position": 259}, {"identifier": "P34", "position": [9, 8], "step": 259, "ordinal_position": 260}, {"identifier": "V51", "position": [9, 7], "step": 260, "ordinal_position": 261}, {"identifier": "E89", "position": [8, 7], "step": 261, "ordinal_position": 262}, {"identifier": "Y70", "position": [7, 7], "step": 262, "ordinal_position": 263}, {"identifier": "J12", "position": [7, 8], "step": 263, "ordinal_position": 264}, {"identifier": "I03", "position": [7, 9], "step": 264, "ordinal_position": 265}, {"identifier": "F19", "position": [8, 9], "step": 265, "ordinal_position": 266}, {"identifier": "Y32", "position": [9, 9], "step": 266, "ordinal_position": 267}, {"identifier": "P34", "position": [9, 8], "step": 267, "ordinal_position": 268}, {"identifier": "V51", "position": [9, 7], "step": 268, "ordinal_position": 269}, {"identifier": "E89", "position": [8, 7], "step": 269, "ordinal_position": 270}, {"identifier": "Y70", "position": [7, 7], "step": 270, "ordinal_position": 271}, {"identifier": "J12", "position": [7, 8], "step": 271, "ordinal_position": 272}, {"identifier": "I03", "position": [7, 9], "step": 272, "ordinal_position": 273}, {"identifier": "F19", "position": [8, 9], "step": 273, "ordinal_position": 274}, {"identifier": "Y32", "position": [9, 9], "step": 274, "ordinal_position": 275}, {"identifier": "P34", "position": [9, 8], "step": 275, "ordinal_position": 276}, {"identifier": "V51", "position": [9, 7], "step": 276, "ordinal_position": 277}, {"identifier": "E89", "position": [8, 7], "step": 277, "ordinal_position": 278}, {"identifier": "Y70", "position": [7, 7], "step": 278, "ordinal_position": 279}, {"identifier": "J12", "position": [7, 8], "step": 279, "ordinal_position": 280}, {"identifier": "I03", "position": [7, 9], "step": 280, "ordinal_position": 281}, {"identifier": "F19", "position": [8, 9], "step": 281, "ordinal_position": 282}, {"identifier": "Y32", "position": [9, 9], "step": 282, "ordinal_position": 283}, {"identifier": "P34", "position": [9, 8], "step": 283, "ordinal_position": 284}, {"identifier": "V51", "position": [9, 7], "step": 284, "ordinal_position": 285}, {"identifier": "E89", "position": [8, 7], "step": 285, "ordinal_position": 286}, {"identifier": "Y70", "position": [7, 7], "step": 286, "ordinal_position": 287}, {"identifier": "J12", "position": [7, 8], "step": 287, "ordinal_position": 288}, {"identifier": "I03", "position": [7, 9], "step": 288, "ordinal_position": 289}, {"identifier": "F19", "position": [8, 9], "step": 289, "ordinal_position": 290}, {"identifier": "Y32", "position": [9, 9], "step": 290, "ordinal_position": 291}, {"identifier": "P34", "position": [9, 8], "step": 291, "ordinal_position": 292}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 292, "direction": "left", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_006.json"}} {"qa_id": "884971ca4fc849b5b39e92692336e991", "image_id": "L3-MazeLoop-test_11x11_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P45, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 173rd position in this traversal?", "start_object_id": "P45", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [173], "ordinal_strings": ["173rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "V51", "traversal_path": [{"identifier": "P45", "position": [9, 3], "step": 0, "ordinal_position": 1}, {"identifier": "E78", "position": [9, 4], "step": 1, "ordinal_position": 2}, {"identifier": "D64", "position": [9, 5], "step": 2, "ordinal_position": 3}, {"identifier": "A69", "position": [8, 5], "step": 3, "ordinal_position": 4}, {"identifier": "Y91", "position": [7, 5], "step": 4, "ordinal_position": 5}, {"identifier": "T28", "position": [7, 6], "step": 5, "ordinal_position": 6}, {"identifier": "Y70", "position": [7, 7], "step": 6, "ordinal_position": 7}, {"identifier": "J12", "position": [7, 8], "step": 7, "ordinal_position": 8}, {"identifier": "I03", "position": [7, 9], "step": 8, "ordinal_position": 9}, {"identifier": "F19", "position": [8, 9], "step": 9, "ordinal_position": 10}, {"identifier": "Y32", "position": [9, 9], "step": 10, "ordinal_position": 11}, {"identifier": "P34", "position": [9, 8], "step": 11, "ordinal_position": 12}, {"identifier": "V51", "position": [9, 7], "step": 12, "ordinal_position": 13}, {"identifier": "E89", "position": [8, 7], "step": 13, "ordinal_position": 14}, {"identifier": "Y70", "position": [7, 7], "step": 14, "ordinal_position": 15}, {"identifier": "J12", "position": [7, 8], "step": 15, "ordinal_position": 16}, {"identifier": "I03", "position": [7, 9], "step": 16, "ordinal_position": 17}, {"identifier": "F19", "position": [8, 9], "step": 17, "ordinal_position": 18}, {"identifier": "Y32", "position": [9, 9], "step": 18, "ordinal_position": 19}, {"identifier": "P34", "position": [9, 8], "step": 19, "ordinal_position": 20}, {"identifier": "V51", "position": [9, 7], "step": 20, "ordinal_position": 21}, {"identifier": "E89", "position": [8, 7], "step": 21, "ordinal_position": 22}, {"identifier": "Y70", "position": [7, 7], "step": 22, "ordinal_position": 23}, {"identifier": "J12", "position": [7, 8], "step": 23, "ordinal_position": 24}, {"identifier": "I03", "position": [7, 9], "step": 24, "ordinal_position": 25}, {"identifier": "F19", "position": [8, 9], "step": 25, "ordinal_position": 26}, {"identifier": "Y32", "position": [9, 9], "step": 26, "ordinal_position": 27}, {"identifier": "P34", "position": [9, 8], "step": 27, "ordinal_position": 28}, {"identifier": "V51", "position": [9, 7], "step": 28, "ordinal_position": 29}, {"identifier": "E89", "position": [8, 7], "step": 29, "ordinal_position": 30}, {"identifier": "Y70", "position": [7, 7], "step": 30, "ordinal_position": 31}, {"identifier": "J12", "position": [7, 8], "step": 31, "ordinal_position": 32}, {"identifier": "I03", "position": [7, 9], "step": 32, "ordinal_position": 33}, {"identifier": "F19", "position": [8, 9], "step": 33, "ordinal_position": 34}, {"identifier": "Y32", "position": [9, 9], "step": 34, "ordinal_position": 35}, {"identifier": "P34", "position": [9, 8], "step": 35, "ordinal_position": 36}, {"identifier": "V51", "position": [9, 7], "step": 36, "ordinal_position": 37}, {"identifier": "E89", "position": [8, 7], "step": 37, "ordinal_position": 38}, {"identifier": "Y70", "position": [7, 7], "step": 38, "ordinal_position": 39}, {"identifier": "J12", "position": [7, 8], "step": 39, "ordinal_position": 40}, {"identifier": "I03", "position": [7, 9], "step": 40, "ordinal_position": 41}, {"identifier": "F19", "position": [8, 9], "step": 41, "ordinal_position": 42}, {"identifier": "Y32", "position": [9, 9], "step": 42, "ordinal_position": 43}, {"identifier": "P34", "position": [9, 8], "step": 43, "ordinal_position": 44}, {"identifier": "V51", "position": [9, 7], "step": 44, "ordinal_position": 45}, {"identifier": "E89", "position": [8, 7], "step": 45, "ordinal_position": 46}, {"identifier": "Y70", "position": [7, 7], "step": 46, "ordinal_position": 47}, {"identifier": "J12", "position": [7, 8], "step": 47, "ordinal_position": 48}, {"identifier": "I03", "position": [7, 9], "step": 48, "ordinal_position": 49}, {"identifier": "F19", "position": [8, 9], "step": 49, "ordinal_position": 50}, {"identifier": "Y32", "position": [9, 9], "step": 50, "ordinal_position": 51}, {"identifier": "P34", "position": [9, 8], "step": 51, "ordinal_position": 52}, {"identifier": "V51", "position": [9, 7], "step": 52, "ordinal_position": 53}, {"identifier": "E89", "position": [8, 7], "step": 53, "ordinal_position": 54}, {"identifier": "Y70", "position": [7, 7], "step": 54, "ordinal_position": 55}, {"identifier": "J12", "position": [7, 8], "step": 55, "ordinal_position": 56}, {"identifier": "I03", "position": [7, 9], "step": 56, "ordinal_position": 57}, {"identifier": "F19", "position": [8, 9], "step": 57, "ordinal_position": 58}, {"identifier": "Y32", "position": [9, 9], "step": 58, "ordinal_position": 59}, {"identifier": "P34", "position": [9, 8], "step": 59, "ordinal_position": 60}, {"identifier": "V51", "position": [9, 7], "step": 60, "ordinal_position": 61}, {"identifier": "E89", "position": [8, 7], "step": 61, "ordinal_position": 62}, {"identifier": "Y70", "position": [7, 7], "step": 62, "ordinal_position": 63}, {"identifier": "J12", "position": [7, 8], "step": 63, "ordinal_position": 64}, {"identifier": "I03", "position": [7, 9], "step": 64, "ordinal_position": 65}, {"identifier": "F19", "position": [8, 9], "step": 65, "ordinal_position": 66}, {"identifier": "Y32", "position": [9, 9], "step": 66, "ordinal_position": 67}, {"identifier": "P34", "position": [9, 8], "step": 67, "ordinal_position": 68}, {"identifier": "V51", "position": [9, 7], "step": 68, "ordinal_position": 69}, {"identifier": "E89", "position": [8, 7], "step": 69, "ordinal_position": 70}, {"identifier": "Y70", "position": [7, 7], "step": 70, "ordinal_position": 71}, {"identifier": "J12", "position": [7, 8], "step": 71, "ordinal_position": 72}, {"identifier": "I03", "position": [7, 9], "step": 72, "ordinal_position": 73}, {"identifier": "F19", "position": [8, 9], "step": 73, "ordinal_position": 74}, {"identifier": "Y32", "position": [9, 9], "step": 74, "ordinal_position": 75}, {"identifier": "P34", "position": [9, 8], "step": 75, "ordinal_position": 76}, {"identifier": "V51", "position": [9, 7], "step": 76, "ordinal_position": 77}, {"identifier": "E89", "position": [8, 7], "step": 77, "ordinal_position": 78}, {"identifier": "Y70", "position": [7, 7], "step": 78, "ordinal_position": 79}, {"identifier": "J12", "position": [7, 8], "step": 79, "ordinal_position": 80}, {"identifier": "I03", "position": [7, 9], "step": 80, "ordinal_position": 81}, {"identifier": 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"step": 118, "ordinal_position": 119}, {"identifier": "J12", "position": [7, 8], "step": 119, "ordinal_position": 120}, {"identifier": "I03", "position": [7, 9], "step": 120, "ordinal_position": 121}, {"identifier": "F19", "position": [8, 9], "step": 121, "ordinal_position": 122}, {"identifier": "Y32", "position": [9, 9], "step": 122, "ordinal_position": 123}, {"identifier": "P34", "position": [9, 8], "step": 123, "ordinal_position": 124}, {"identifier": "V51", "position": [9, 7], "step": 124, "ordinal_position": 125}, {"identifier": "E89", "position": [8, 7], "step": 125, "ordinal_position": 126}, {"identifier": "Y70", "position": [7, 7], "step": 126, "ordinal_position": 127}, {"identifier": "J12", "position": [7, 8], "step": 127, "ordinal_position": 128}, {"identifier": "I03", "position": [7, 9], "step": 128, "ordinal_position": 129}, {"identifier": "F19", "position": [8, 9], "step": 129, "ordinal_position": 130}, {"identifier": "Y32", "position": [9, 9], "step": 130, "ordinal_position": 131}, {"identifier": "P34", "position": [9, 8], "step": 131, "ordinal_position": 132}, {"identifier": "V51", "position": [9, 7], "step": 132, "ordinal_position": 133}, {"identifier": "E89", "position": [8, 7], "step": 133, "ordinal_position": 134}, {"identifier": "Y70", "position": [7, 7], "step": 134, "ordinal_position": 135}, {"identifier": "J12", "position": [7, 8], "step": 135, "ordinal_position": 136}, {"identifier": "I03", "position": [7, 9], "step": 136, "ordinal_position": 137}, {"identifier": "F19", "position": [8, 9], "step": 137, "ordinal_position": 138}, {"identifier": "Y32", "position": [9, 9], "step": 138, "ordinal_position": 139}, {"identifier": "P34", "position": [9, 8], "step": 139, "ordinal_position": 140}, {"identifier": "V51", "position": [9, 7], "step": 140, "ordinal_position": 141}, {"identifier": "E89", "position": [8, 7], "step": 141, "ordinal_position": 142}, {"identifier": "Y70", "position": [7, 7], "step": 142, "ordinal_position": 143}, {"identifier": "J12", "position": [7, 8], "step": 143, "ordinal_position": 144}, {"identifier": "I03", "position": [7, 9], "step": 144, "ordinal_position": 145}, {"identifier": "F19", "position": [8, 9], "step": 145, "ordinal_position": 146}, {"identifier": "Y32", "position": [9, 9], "step": 146, "ordinal_position": 147}, {"identifier": "P34", "position": [9, 8], "step": 147, "ordinal_position": 148}, {"identifier": "V51", "position": [9, 7], "step": 148, "ordinal_position": 149}, {"identifier": "E89", "position": [8, 7], "step": 149, "ordinal_position": 150}, {"identifier": "Y70", "position": [7, 7], "step": 150, "ordinal_position": 151}, {"identifier": "J12", "position": [7, 8], "step": 151, "ordinal_position": 152}, {"identifier": "I03", "position": [7, 9], "step": 152, "ordinal_position": 153}, {"identifier": "F19", "position": [8, 9], "step": 153, "ordinal_position": 154}, {"identifier": "Y32", "position": [9, 9], "step": 154, "ordinal_position": 155}, {"identifier": "P34", "position": [9, 8], "step": 155, "ordinal_position": 156}, {"identifier": "V51", "position": [9, 7], "step": 156, "ordinal_position": 157}, {"identifier": "E89", "position": [8, 7], "step": 157, "ordinal_position": 158}, {"identifier": "Y70", "position": [7, 7], "step": 158, "ordinal_position": 159}, {"identifier": "J12", "position": [7, 8], "step": 159, "ordinal_position": 160}, {"identifier": "I03", "position": [7, 9], "step": 160, "ordinal_position": 161}, {"identifier": "F19", "position": [8, 9], "step": 161, "ordinal_position": 162}, {"identifier": "Y32", "position": [9, 9], "step": 162, "ordinal_position": 163}, {"identifier": "P34", "position": [9, 8], "step": 163, "ordinal_position": 164}, {"identifier": "V51", "position": [9, 7], "step": 164, "ordinal_position": 165}, {"identifier": "E89", "position": [8, 7], "step": 165, "ordinal_position": 166}, {"identifier": "Y70", "position": [7, 7], "step": 166, "ordinal_position": 167}, {"identifier": "J12", "position": [7, 8], "step": 167, "ordinal_position": 168}, {"identifier": "I03", "position": [7, 9], "step": 168, "ordinal_position": 169}, {"identifier": "F19", "position": [8, 9], "step": 169, "ordinal_position": 170}, {"identifier": "Y32", "position": [9, 9], "step": 170, "ordinal_position": 171}, {"identifier": "P34", "position": [9, 8], "step": 171, "ordinal_position": 172}, {"identifier": "V51", "position": [9, 7], "step": 172, "ordinal_position": 173}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 173, "direction": "down", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_006.json"}} {"qa_id": "00dff3647f9d4dea86c75d7ecf85e274", "image_id": "L3-MazeLoop-test_11x11_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V51, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 257th position in this traversal?", "start_object_id": "V51", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [257], "ordinal_strings": ["257th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q75", "traversal_path": [{"identifier": "V51", "position": [9, 7], "step": 0, "ordinal_position": 1}, {"identifier": "P34", "position": [9, 8], "step": 1, "ordinal_position": 2}, {"identifier": "Y32", "position": [9, 9], "step": 2, "ordinal_position": 3}, {"identifier": "F19", "position": [8, 9], "step": 3, "ordinal_position": 4}, {"identifier": "I03", "position": [7, 9], "step": 4, "ordinal_position": 5}, {"identifier": "D51", "position": [6, 9], "step": 5, "ordinal_position": 6}, {"identifier": "L84", "position": [5, 9], "step": 6, "ordinal_position": 7}, {"identifier": "R46", "position": [4, 9], "step": 7, "ordinal_position": 8}, {"identifier": "M53", "position": [3, 9], "step": 8, "ordinal_position": 9}, {"identifier": "F65", "position": [2, 9], "step": 9, "ordinal_position": 10}, {"identifier": "I59", "position": [1, 9], "step": 10, "ordinal_position": 11}, {"identifier": "U48", "position": [1, 8], "step": 11, "ordinal_position": 12}, {"identifier": "K97", "position": [1, 7], "step": 12, "ordinal_position": 13}, {"identifier": "V38", "position": [2, 7], "step": 13, "ordinal_position": 14}, {"identifier": "C20", "position": [3, 7], "step": 14, "ordinal_position": 15}, {"identifier": "W84", "position": [4, 7], "step": 15, "ordinal_position": 16}, {"identifier": "Q75", "position": [5, 7], "step": 16, "ordinal_position": 17}, {"identifier": "S27", "position": [5, 8], "step": 17, "ordinal_position": 18}, {"identifier": "L84", "position": [5, 9], "step": 18, "ordinal_position": 19}, {"identifier": "R46", "position": [4, 9], "step": 19, "ordinal_position": 20}, {"identifier": "M53", "position": [3, 9], "step": 20, "ordinal_position": 21}, {"identifier": "F65", "position": [2, 9], "step": 21, "ordinal_position": 22}, {"identifier": "I59", "position": [1, 9], "step": 22, "ordinal_position": 23}, {"identifier": "U48", "position": [1, 8], "step": 23, "ordinal_position": 24}, {"identifier": "K97", "position": [1, 7], "step": 24, "ordinal_position": 25}, {"identifier": "V38", "position": [2, 7], "step": 25, "ordinal_position": 26}, {"identifier": "C20", "position": [3, 7], "step": 26, "ordinal_position": 27}, {"identifier": "W84", "position": [4, 7], "step": 27, "ordinal_position": 28}, {"identifier": "Q75", "position": [5, 7], "step": 28, "ordinal_position": 29}, {"identifier": "S27", "position": [5, 8], "step": 29, "ordinal_position": 30}, {"identifier": "L84", "position": [5, 9], "step": 30, "ordinal_position": 31}, {"identifier": "R46", "position": [4, 9], "step": 31, "ordinal_position": 32}, {"identifier": "M53", "position": [3, 9], "step": 32, "ordinal_position": 33}, {"identifier": "F65", "position": [2, 9], "step": 33, "ordinal_position": 34}, {"identifier": "I59", "position": [1, 9], "step": 34, "ordinal_position": 35}, {"identifier": "U48", "position": [1, 8], "step": 35, "ordinal_position": 36}, {"identifier": "K97", "position": [1, 7], "step": 36, "ordinal_position": 37}, {"identifier": "V38", "position": [2, 7], "step": 37, "ordinal_position": 38}, {"identifier": "C20", "position": [3, 7], "step": 38, "ordinal_position": 39}, {"identifier": "W84", "position": [4, 7], "step": 39, "ordinal_position": 40}, {"identifier": "Q75", "position": [5, 7], "step": 40, "ordinal_position": 41}, {"identifier": "S27", "position": [5, 8], "step": 41, "ordinal_position": 42}, {"identifier": "L84", "position": [5, 9], "step": 42, "ordinal_position": 43}, {"identifier": "R46", "position": [4, 9], "step": 43, "ordinal_position": 44}, {"identifier": "M53", "position": [3, 9], "step": 44, "ordinal_position": 45}, {"identifier": "F65", "position": [2, 9], "step": 45, "ordinal_position": 46}, {"identifier": "I59", "position": [1, 9], "step": 46, "ordinal_position": 47}, {"identifier": "U48", "position": [1, 8], "step": 47, "ordinal_position": 48}, {"identifier": "K97", "position": [1, 7], "step": 48, "ordinal_position": 49}, {"identifier": "V38", "position": [2, 7], "step": 49, "ordinal_position": 50}, {"identifier": "C20", "position": [3, 7], "step": 50, "ordinal_position": 51}, {"identifier": "W84", "position": [4, 7], "step": 51, "ordinal_position": 52}, {"identifier": "Q75", "position": [5, 7], "step": 52, "ordinal_position": 53}, {"identifier": "S27", "position": [5, 8], "step": 53, "ordinal_position": 54}, {"identifier": "L84", "position": [5, 9], "step": 54, "ordinal_position": 55}, {"identifier": "R46", "position": [4, 9], "step": 55, "ordinal_position": 56}, {"identifier": "M53", "position": [3, 9], "step": 56, "ordinal_position": 57}, {"identifier": "F65", "position": [2, 9], "step": 57, "ordinal_position": 58}, {"identifier": "I59", "position": [1, 9], "step": 58, "ordinal_position": 59}, {"identifier": "U48", "position": [1, 8], "step": 59, "ordinal_position": 60}, {"identifier": "K97", "position": [1, 7], "step": 60, "ordinal_position": 61}, {"identifier": "V38", "position": [2, 7], "step": 61, "ordinal_position": 62}, {"identifier": "C20", "position": [3, 7], "step": 62, "ordinal_position": 63}, {"identifier": "W84", "position": [4, 7], "step": 63, "ordinal_position": 64}, {"identifier": "Q75", "position": [5, 7], "step": 64, "ordinal_position": 65}, {"identifier": "S27", "position": [5, 8], "step": 65, "ordinal_position": 66}, {"identifier": "L84", "position": [5, 9], "step": 66, "ordinal_position": 67}, {"identifier": "R46", "position": [4, 9], "step": 67, "ordinal_position": 68}, {"identifier": "M53", "position": [3, 9], "step": 68, "ordinal_position": 69}, {"identifier": "F65", "position": [2, 9], "step": 69, "ordinal_position": 70}, {"identifier": "I59", "position": [1, 9], "step": 70, "ordinal_position": 71}, {"identifier": "U48", "position": [1, 8], "step": 71, "ordinal_position": 72}, {"identifier": "K97", "position": [1, 7], "step": 72, "ordinal_position": 73}, {"identifier": "V38", "position": [2, 7], "step": 73, "ordinal_position": 74}, {"identifier": "C20", "position": [3, 7], "step": 74, "ordinal_position": 75}, {"identifier": "W84", "position": [4, 7], "step": 75, "ordinal_position": 76}, {"identifier": "Q75", "position": [5, 7], "step": 76, "ordinal_position": 77}, {"identifier": "S27", "position": [5, 8], "step": 77, "ordinal_position": 78}, {"identifier": "L84", "position": [5, 9], "step": 78, "ordinal_position": 79}, {"identifier": "R46", "position": [4, 9], "step": 79, "ordinal_position": 80}, {"identifier": "M53", "position": [3, 9], "step": 80, "ordinal_position": 81}, {"identifier": "F65", "position": [2, 9], "step": 81, "ordinal_position": 82}, {"identifier": "I59", "position": [1, 9], "step": 82, "ordinal_position": 83}, {"identifier": "U48", "position": [1, 8], "step": 83, "ordinal_position": 84}, {"identifier": "K97", "position": [1, 7], "step": 84, "ordinal_position": 85}, {"identifier": "V38", "position": [2, 7], "step": 85, "ordinal_position": 86}, {"identifier": "C20", "position": [3, 7], "step": 86, "ordinal_position": 87}, {"identifier": "W84", "position": [4, 7], "step": 87, "ordinal_position": 88}, {"identifier": "Q75", "position": [5, 7], "step": 88, "ordinal_position": 89}, {"identifier": "S27", "position": [5, 8], "step": 89, "ordinal_position": 90}, {"identifier": "L84", "position": [5, 9], "step": 90, "ordinal_position": 91}, {"identifier": "R46", "position": [4, 9], "step": 91, "ordinal_position": 92}, {"identifier": "M53", "position": [3, 9], "step": 92, "ordinal_position": 93}, {"identifier": "F65", "position": [2, 9], "step": 93, "ordinal_position": 94}, {"identifier": "I59", "position": [1, 9], "step": 94, "ordinal_position": 95}, {"identifier": "U48", "position": [1, 8], "step": 95, "ordinal_position": 96}, {"identifier": "K97", "position": [1, 7], "step": 96, "ordinal_position": 97}, {"identifier": "V38", "position": [2, 7], "step": 97, "ordinal_position": 98}, {"identifier": "C20", "position": [3, 7], "step": 98, "ordinal_position": 99}, {"identifier": "W84", "position": [4, 7], "step": 99, "ordinal_position": 100}, {"identifier": "Q75", "position": [5, 7], "step": 100, "ordinal_position": 101}, {"identifier": "S27", "position": [5, 8], "step": 101, "ordinal_position": 102}, {"identifier": "L84", "position": [5, 9], "step": 102, "ordinal_position": 103}, {"identifier": "R46", "position": [4, 9], "step": 103, "ordinal_position": 104}, {"identifier": "M53", "position": [3, 9], "step": 104, "ordinal_position": 105}, {"identifier": "F65", "position": [2, 9], "step": 105, "ordinal_position": 106}, {"identifier": "I59", "position": [1, 9], "step": 106, "ordinal_position": 107}, {"identifier": "U48", "position": [1, 8], "step": 107, "ordinal_position": 108}, {"identifier": "K97", "position": [1, 7], "step": 108, "ordinal_position": 109}, {"identifier": "V38", "position": [2, 7], "step": 109, "ordinal_position": 110}, {"identifier": "C20", "position": [3, 7], "step": 110, "ordinal_position": 111}, {"identifier": "W84", "position": [4, 7], "step": 111, "ordinal_position": 112}, {"identifier": "Q75", "position": [5, 7], "step": 112, "ordinal_position": 113}, {"identifier": "S27", "position": [5, 8], "step": 113, "ordinal_position": 114}, {"identifier": "L84", "position": [5, 9], "step": 114, "ordinal_position": 115}, {"identifier": "R46", "position": [4, 9], "step": 115, "ordinal_position": 116}, {"identifier": "M53", "position": [3, 9], "step": 116, "ordinal_position": 117}, {"identifier": "F65", "position": [2, 9], "step": 117, "ordinal_position": 118}, {"identifier": "I59", "position": [1, 9], "step": 118, "ordinal_position": 119}, {"identifier": "U48", "position": [1, 8], "step": 119, "ordinal_position": 120}, {"identifier": "K97", "position": [1, 7], "step": 120, "ordinal_position": 121}, {"identifier": "V38", "position": [2, 7], "step": 121, "ordinal_position": 122}, {"identifier": "C20", "position": [3, 7], "step": 122, "ordinal_position": 123}, {"identifier": "W84", "position": [4, 7], "step": 123, "ordinal_position": 124}, {"identifier": "Q75", "position": [5, 7], "step": 124, "ordinal_position": 125}, {"identifier": "S27", "position": [5, 8], "step": 125, "ordinal_position": 126}, {"identifier": "L84", "position": [5, 9], "step": 126, "ordinal_position": 127}, {"identifier": "R46", "position": [4, 9], "step": 127, "ordinal_position": 128}, {"identifier": "M53", "position": [3, 9], "step": 128, "ordinal_position": 129}, {"identifier": "F65", "position": [2, 9], "step": 129, "ordinal_position": 130}, {"identifier": "I59", "position": [1, 9], "step": 130, "ordinal_position": 131}, {"identifier": "U48", "position": [1, 8], "step": 131, "ordinal_position": 132}, {"identifier": "K97", "position": [1, 7], "step": 132, "ordinal_position": 133}, {"identifier": "V38", "position": [2, 7], "step": 133, "ordinal_position": 134}, {"identifier": "C20", "position": [3, 7], "step": 134, "ordinal_position": 135}, {"identifier": "W84", "position": [4, 7], "step": 135, "ordinal_position": 136}, {"identifier": "Q75", "position": [5, 7], "step": 136, "ordinal_position": 137}, {"identifier": "S27", "position": [5, 8], "step": 137, "ordinal_position": 138}, {"identifier": "L84", "position": [5, 9], "step": 138, "ordinal_position": 139}, {"identifier": "R46", 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"position": [3, 9], "step": 176, "ordinal_position": 177}, {"identifier": "F65", "position": [2, 9], "step": 177, "ordinal_position": 178}, {"identifier": "I59", "position": [1, 9], "step": 178, "ordinal_position": 179}, {"identifier": "U48", "position": [1, 8], "step": 179, "ordinal_position": 180}, {"identifier": "K97", "position": [1, 7], "step": 180, "ordinal_position": 181}, {"identifier": "V38", "position": [2, 7], "step": 181, "ordinal_position": 182}, {"identifier": "C20", "position": [3, 7], "step": 182, "ordinal_position": 183}, {"identifier": "W84", "position": [4, 7], "step": 183, "ordinal_position": 184}, {"identifier": "Q75", "position": [5, 7], "step": 184, "ordinal_position": 185}, {"identifier": "S27", "position": [5, 8], "step": 185, "ordinal_position": 186}, {"identifier": "L84", "position": [5, 9], "step": 186, "ordinal_position": 187}, {"identifier": "R46", "position": [4, 9], "step": 187, "ordinal_position": 188}, {"identifier": "M53", "position": [3, 9], "step": 188, "ordinal_position": 189}, {"identifier": "F65", "position": [2, 9], "step": 189, "ordinal_position": 190}, {"identifier": "I59", "position": [1, 9], "step": 190, "ordinal_position": 191}, {"identifier": "U48", "position": [1, 8], "step": 191, "ordinal_position": 192}, {"identifier": "K97", "position": [1, 7], "step": 192, "ordinal_position": 193}, {"identifier": "V38", "position": [2, 7], "step": 193, "ordinal_position": 194}, {"identifier": "C20", "position": [3, 7], "step": 194, "ordinal_position": 195}, {"identifier": "W84", "position": [4, 7], "step": 195, "ordinal_position": 196}, {"identifier": "Q75", "position": [5, 7], "step": 196, "ordinal_position": 197}, {"identifier": "S27", "position": [5, 8], "step": 197, "ordinal_position": 198}, {"identifier": "L84", "position": [5, 9], "step": 198, "ordinal_position": 199}, {"identifier": "R46", "position": [4, 9], "step": 199, "ordinal_position": 200}, {"identifier": "M53", "position": [3, 9], "step": 200, "ordinal_position": 201}, {"identifier": "F65", "position": [2, 9], "step": 201, "ordinal_position": 202}, {"identifier": "I59", "position": [1, 9], "step": 202, "ordinal_position": 203}, {"identifier": "U48", "position": [1, 8], "step": 203, "ordinal_position": 204}, {"identifier": "K97", "position": [1, 7], "step": 204, "ordinal_position": 205}, {"identifier": "V38", "position": [2, 7], "step": 205, "ordinal_position": 206}, {"identifier": "C20", "position": [3, 7], "step": 206, "ordinal_position": 207}, {"identifier": "W84", "position": [4, 7], "step": 207, "ordinal_position": 208}, {"identifier": "Q75", "position": [5, 7], "step": 208, "ordinal_position": 209}, {"identifier": "S27", "position": [5, 8], "step": 209, "ordinal_position": 210}, {"identifier": "L84", "position": [5, 9], "step": 210, "ordinal_position": 211}, {"identifier": "R46", "position": [4, 9], "step": 211, "ordinal_position": 212}, {"identifier": "M53", "position": [3, 9], "step": 212, "ordinal_position": 213}, {"identifier": "F65", "position": [2, 9], "step": 213, "ordinal_position": 214}, {"identifier": "I59", "position": [1, 9], "step": 214, "ordinal_position": 215}, {"identifier": "U48", "position": [1, 8], "step": 215, "ordinal_position": 216}, {"identifier": "K97", "position": [1, 7], "step": 216, "ordinal_position": 217}, {"identifier": "V38", "position": [2, 7], "step": 217, "ordinal_position": 218}, {"identifier": "C20", "position": [3, 7], "step": 218, "ordinal_position": 219}, {"identifier": "W84", "position": [4, 7], "step": 219, "ordinal_position": 220}, {"identifier": "Q75", "position": [5, 7], "step": 220, "ordinal_position": 221}, {"identifier": "S27", "position": [5, 8], "step": 221, "ordinal_position": 222}, {"identifier": "L84", "position": [5, 9], "step": 222, "ordinal_position": 223}, {"identifier": "R46", "position": [4, 9], "step": 223, "ordinal_position": 224}, {"identifier": "M53", "position": [3, 9], "step": 224, "ordinal_position": 225}, {"identifier": "F65", "position": [2, 9], "step": 225, "ordinal_position": 226}, {"identifier": "I59", "position": [1, 9], "step": 226, "ordinal_position": 227}, {"identifier": "U48", "position": [1, 8], "step": 227, "ordinal_position": 228}, {"identifier": "K97", "position": [1, 7], "step": 228, "ordinal_position": 229}, {"identifier": "V38", "position": [2, 7], "step": 229, "ordinal_position": 230}, {"identifier": "C20", "position": [3, 7], "step": 230, "ordinal_position": 231}, {"identifier": "W84", "position": [4, 7], "step": 231, "ordinal_position": 232}, {"identifier": "Q75", "position": [5, 7], "step": 232, "ordinal_position": 233}, {"identifier": "S27", "position": [5, 8], "step": 233, "ordinal_position": 234}, {"identifier": "L84", "position": [5, 9], "step": 234, "ordinal_position": 235}, {"identifier": "R46", "position": [4, 9], "step": 235, "ordinal_position": 236}, {"identifier": "M53", "position": [3, 9], "step": 236, "ordinal_position": 237}, {"identifier": "F65", "position": [2, 9], "step": 237, "ordinal_position": 238}, {"identifier": "I59", "position": [1, 9], "step": 238, "ordinal_position": 239}, {"identifier": "U48", "position": [1, 8], "step": 239, "ordinal_position": 240}, {"identifier": "K97", "position": [1, 7], "step": 240, "ordinal_position": 241}, {"identifier": "V38", "position": [2, 7], "step": 241, "ordinal_position": 242}, {"identifier": "C20", "position": [3, 7], "step": 242, "ordinal_position": 243}, {"identifier": "W84", "position": [4, 7], "step": 243, "ordinal_position": 244}, {"identifier": "Q75", "position": [5, 7], "step": 244, "ordinal_position": 245}, {"identifier": "S27", "position": [5, 8], "step": 245, "ordinal_position": 246}, {"identifier": "L84", "position": [5, 9], "step": 246, "ordinal_position": 247}, {"identifier": "R46", "position": [4, 9], "step": 247, "ordinal_position": 248}, {"identifier": "M53", "position": [3, 9], "step": 248, "ordinal_position": 249}, {"identifier": "F65", "position": [2, 9], "step": 249, "ordinal_position": 250}, {"identifier": "I59", "position": [1, 9], "step": 250, "ordinal_position": 251}, {"identifier": "U48", "position": [1, 8], "step": 251, "ordinal_position": 252}, {"identifier": "K97", "position": [1, 7], "step": 252, "ordinal_position": 253}, {"identifier": "V38", "position": [2, 7], "step": 253, "ordinal_position": 254}, {"identifier": "C20", "position": [3, 7], "step": 254, "ordinal_position": 255}, {"identifier": "W84", "position": [4, 7], "step": 255, "ordinal_position": 256}, {"identifier": "Q75", "position": [5, 7], "step": 256, "ordinal_position": 257}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 257, "direction": "down", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_006.json"}} {"qa_id": "462f9d67e3fa4f37bd16c54a78fec3a0", "image_id": "L3-MazeLoop-test_11x11_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O81, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "O81", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "S68", "traversal_path": [{"identifier": "O81", "position": [6, 7], "step": 0, "ordinal_position": 1}, {"identifier": "V77", "position": [7, 7], "step": 1, "ordinal_position": 2}, {"identifier": "Z35", "position": [7, 6], "step": 2, "ordinal_position": 3}, {"identifier": "D17", "position": [7, 5], "step": 3, "ordinal_position": 4}, {"identifier": "X11", "position": [8, 5], "step": 4, "ordinal_position": 5}, {"identifier": "S38", "position": [9, 5], "step": 5, "ordinal_position": 6}, {"identifier": "S68", "position": [9, 6], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 7, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_007.json"}} {"qa_id": "497a1e4c4f384251992e9bb8b75ffcd7", "image_id": "L3-MazeLoop-test_11x11_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y34, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "Y34", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "M29", "traversal_path": [{"identifier": "Y34", "position": [4, 7], "step": 0, "ordinal_position": 1}, {"identifier": "R12", "position": [3, 7], "step": 1, "ordinal_position": 2}, {"identifier": "E83", "position": [3, 6], "step": 2, "ordinal_position": 3}, {"identifier": "T41", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "C48", "position": [3, 4], "step": 4, "ordinal_position": 5}, {"identifier": "C57", "position": [3, 3], "step": 5, "ordinal_position": 6}, {"identifier": "M85", "position": [2, 3], "step": 6, "ordinal_position": 7}, {"identifier": "M29", "position": [1, 3], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 8, "direction": "left", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_007.json"}} {"qa_id": "78ea20fb272842c08c195db9ec1bc441", "image_id": "L3-MazeLoop-test_11x11_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V77, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "V77", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Z35", "traversal_path": [{"identifier": "V77", "position": [7, 7], "step": 0, "ordinal_position": 1}, {"identifier": "Z35", "position": [7, 6], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 2, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_007.json"}} {"qa_id": "5db89b8fdefe431caf026a02be85e46c", "image_id": "L3-MazeLoop-test_11x11_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X47, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 11th position in this traversal?", "start_object_id": "X47", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [11], "ordinal_strings": ["11th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "S38", "traversal_path": [{"identifier": "X47", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "D83", "position": [4, 1], "step": 1, "ordinal_position": 2}, {"identifier": "C81", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "W85", "position": [6, 1], "step": 3, "ordinal_position": 4}, {"identifier": "X75", "position": [7, 1], "step": 4, "ordinal_position": 5}, {"identifier": "C99", "position": [8, 1], "step": 5, "ordinal_position": 6}, {"identifier": "S56", "position": [9, 1], "step": 6, "ordinal_position": 7}, {"identifier": "C44", "position": [9, 2], "step": 7, "ordinal_position": 8}, {"identifier": "J99", "position": [9, 3], "step": 8, "ordinal_position": 9}, {"identifier": "V51", "position": [9, 4], "step": 9, "ordinal_position": 10}, {"identifier": "S38", "position": [9, 5], "step": 10, "ordinal_position": 11}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 11, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_007.json"}} {"qa_id": "173ae1f5a36e4872b471ff422e738018", "image_id": "L3-MazeLoop-test_11x11_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C48, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 10th position in this traversal?", "start_object_id": "C48", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [10], "ordinal_strings": ["10th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "C81", "traversal_path": [{"identifier": "C48", "position": [3, 4], "step": 0, "ordinal_position": 1}, {"identifier": "C57", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "M85", "position": [2, 3], "step": 2, "ordinal_position": 3}, {"identifier": "M29", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "C66", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "U33", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "O06", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "X47", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "D83", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "C81", "position": [5, 1], "step": 9, "ordinal_position": 10}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 10, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_007.json"}} {"qa_id": "cd9fb85b25504c8f9b7abc1c4d49a278", "image_id": "L3-MazeLoop-test_11x11_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R12, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 75th position in this traversal?", "start_object_id": "R12", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [75], "ordinal_strings": ["75th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "T41", "traversal_path": [{"identifier": "R12", "position": [3, 7], "step": 0, "ordinal_position": 1}, {"identifier": "E83", "position": [3, 6], "step": 1, "ordinal_position": 2}, {"identifier": "T41", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "C48", "position": [3, 4], "step": 3, "ordinal_position": 4}, {"identifier": "C57", "position": [3, 3], "step": 4, "ordinal_position": 5}, {"identifier": "M85", "position": [2, 3], "step": 5, "ordinal_position": 6}, {"identifier": "M29", "position": [1, 3], "step": 6, "ordinal_position": 7}, {"identifier": "C66", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "U33", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "O06", "position": [2, 1], "step": 9, "ordinal_position": 10}, {"identifier": "X47", "position": [3, 1], "step": 10, "ordinal_position": 11}, {"identifier": "D83", "position": [4, 1], "step": 11, "ordinal_position": 12}, {"identifier": "C81", "position": [5, 1], "step": 12, "ordinal_position": 13}, {"identifier": "W85", "position": [6, 1], "step": 13, "ordinal_position": 14}, {"identifier": "X75", "position": [7, 1], "step": 14, "ordinal_position": 15}, {"identifier": "C99", "position": [8, 1], "step": 15, "ordinal_position": 16}, {"identifier": "S56", "position": [9, 1], "step": 16, "ordinal_position": 17}, {"identifier": "C44", "position": [9, 2], "step": 17, "ordinal_position": 18}, {"identifier": "J99", "position": [9, 3], "step": 18, "ordinal_position": 19}, {"identifier": "V51", "position": [9, 4], "step": 19, "ordinal_position": 20}, {"identifier": "S38", "position": [9, 5], "step": 20, "ordinal_position": 21}, {"identifier": "S68", "position": [9, 6], "step": 21, "ordinal_position": 22}, {"identifier": "L05", "position": [9, 7], "step": 22, "ordinal_position": 23}, {"identifier": "O01", "position": [9, 8], "step": 23, "ordinal_position": 24}, {"identifier": "Y94", "position": [9, 9], "step": 24, "ordinal_position": 25}, {"identifier": "K17", "position": [8, 9], "step": 25, "ordinal_position": 26}, {"identifier": "R51", "position": [7, 9], "step": 26, "ordinal_position": 27}, {"identifier": "D35", "position": [6, 9], "step": 27, "ordinal_position": 28}, {"identifier": "O34", "position": [5, 9], "step": 28, "ordinal_position": 29}, {"identifier": "R27", "position": [4, 9], "step": 29, "ordinal_position": 30}, {"identifier": "T07", "position": [3, 9], "step": 30, "ordinal_position": 31}, {"identifier": "M27", "position": [2, 9], "step": 31, "ordinal_position": 32}, {"identifier": "X52", "position": [1, 9], "step": 32, "ordinal_position": 33}, {"identifier": "G75", "position": [1, 8], "step": 33, "ordinal_position": 34}, {"identifier": "H36", "position": [1, 7], "step": 34, "ordinal_position": 35}, {"identifier": "L79", "position": [1, 6], "step": 35, "ordinal_position": 36}, {"identifier": "U34", "position": [1, 5], "step": 36, "ordinal_position": 37}, {"identifier": "U27", "position": [2, 5], "step": 37, "ordinal_position": 38}, {"identifier": "T41", "position": [3, 5], "step": 38, "ordinal_position": 39}, {"identifier": "C48", "position": [3, 4], "step": 39, "ordinal_position": 40}, {"identifier": "C57", "position": [3, 3], "step": 40, "ordinal_position": 41}, {"identifier": "M85", "position": [2, 3], "step": 41, "ordinal_position": 42}, {"identifier": "M29", "position": [1, 3], "step": 42, "ordinal_position": 43}, {"identifier": "C66", "position": [1, 2], "step": 43, "ordinal_position": 44}, {"identifier": "U33", "position": [1, 1], "step": 44, "ordinal_position": 45}, {"identifier": "O06", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "X47", "position": [3, 1], "step": 46, "ordinal_position": 47}, {"identifier": "D83", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "C81", "position": [5, 1], "step": 48, "ordinal_position": 49}, {"identifier": "W85", "position": [6, 1], "step": 49, "ordinal_position": 50}, {"identifier": "X75", "position": [7, 1], "step": 50, "ordinal_position": 51}, {"identifier": "C99", "position": [8, 1], "step": 51, "ordinal_position": 52}, {"identifier": "S56", "position": [9, 1], "step": 52, "ordinal_position": 53}, {"identifier": "C44", "position": [9, 2], "step": 53, "ordinal_position": 54}, {"identifier": "J99", "position": [9, 3], "step": 54, "ordinal_position": 55}, {"identifier": "V51", "position": [9, 4], "step": 55, "ordinal_position": 56}, {"identifier": "S38", "position": [9, 5], "step": 56, "ordinal_position": 57}, {"identifier": "S68", "position": [9, 6], "step": 57, "ordinal_position": 58}, {"identifier": "L05", "position": [9, 7], "step": 58, "ordinal_position": 59}, {"identifier": "O01", "position": [9, 8], "step": 59, "ordinal_position": 60}, {"identifier": "Y94", "position": [9, 9], "step": 60, "ordinal_position": 61}, {"identifier": "K17", "position": [8, 9], "step": 61, "ordinal_position": 62}, {"identifier": "R51", "position": [7, 9], "step": 62, "ordinal_position": 63}, {"identifier": "D35", "position": [6, 9], "step": 63, "ordinal_position": 64}, {"identifier": "O34", "position": [5, 9], "step": 64, "ordinal_position": 65}, {"identifier": "R27", "position": [4, 9], "step": 65, "ordinal_position": 66}, {"identifier": "T07", "position": [3, 9], "step": 66, "ordinal_position": 67}, {"identifier": "M27", "position": [2, 9], "step": 67, "ordinal_position": 68}, {"identifier": "X52", "position": [1, 9], "step": 68, "ordinal_position": 69}, {"identifier": "G75", "position": [1, 8], "step": 69, "ordinal_position": 70}, {"identifier": "H36", "position": [1, 7], "step": 70, "ordinal_position": 71}, {"identifier": "L79", "position": [1, 6], "step": 71, "ordinal_position": 72}, {"identifier": "U34", "position": [1, 5], "step": 72, "ordinal_position": 73}, {"identifier": "U27", "position": [2, 5], "step": 73, "ordinal_position": 74}, {"identifier": "T41", "position": [3, 5], "step": 74, "ordinal_position": 75}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 75, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_007.json"}} {"qa_id": "28a82abb3a6a4b159751e846dd3d66b1", "image_id": "L3-MazeLoop-test_11x11_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T41, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 66th position in this traversal?", "start_object_id": "T41", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [66], "ordinal_strings": ["66th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "E83", "traversal_path": [{"identifier": "T41", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "U27", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "U34", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "L79", "position": [1, 6], "step": 3, "ordinal_position": 4}, {"identifier": "H36", "position": [1, 7], "step": 4, "ordinal_position": 5}, {"identifier": "G75", "position": [1, 8], "step": 5, "ordinal_position": 6}, {"identifier": "X52", "position": [1, 9], "step": 6, "ordinal_position": 7}, {"identifier": "M27", "position": [2, 9], "step": 7, "ordinal_position": 8}, {"identifier": "T07", "position": [3, 9], "step": 8, "ordinal_position": 9}, {"identifier": "R27", "position": [4, 9], "step": 9, "ordinal_position": 10}, {"identifier": "O34", "position": [5, 9], "step": 10, "ordinal_position": 11}, {"identifier": "D35", "position": [6, 9], "step": 11, "ordinal_position": 12}, {"identifier": "R51", "position": [7, 9], "step": 12, "ordinal_position": 13}, {"identifier": "K17", "position": [8, 9], "step": 13, "ordinal_position": 14}, {"identifier": "Y94", "position": [9, 9], "step": 14, "ordinal_position": 15}, {"identifier": "O01", "position": [9, 8], "step": 15, "ordinal_position": 16}, {"identifier": "L05", "position": [9, 7], "step": 16, "ordinal_position": 17}, {"identifier": "S68", "position": [9, 6], "step": 17, "ordinal_position": 18}, {"identifier": "S38", "position": [9, 5], "step": 18, "ordinal_position": 19}, {"identifier": "V51", "position": [9, 4], "step": 19, "ordinal_position": 20}, {"identifier": "J99", "position": [9, 3], "step": 20, "ordinal_position": 21}, {"identifier": "C44", "position": [9, 2], "step": 21, "ordinal_position": 22}, {"identifier": "S56", "position": [9, 1], "step": 22, "ordinal_position": 23}, {"identifier": "C99", "position": [8, 1], "step": 23, "ordinal_position": 24}, {"identifier": "X75", "position": [7, 1], "step": 24, "ordinal_position": 25}, {"identifier": "W85", "position": [6, 1], "step": 25, "ordinal_position": 26}, {"identifier": "C81", "position": [5, 1], "step": 26, "ordinal_position": 27}, {"identifier": "D83", "position": [4, 1], "step": 27, "ordinal_position": 28}, {"identifier": "X47", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "O06", "position": [2, 1], "step": 29, "ordinal_position": 30}, {"identifier": "U33", "position": [1, 1], "step": 30, "ordinal_position": 31}, {"identifier": "C66", "position": [1, 2], "step": 31, "ordinal_position": 32}, {"identifier": "M29", "position": [1, 3], "step": 32, "ordinal_position": 33}, {"identifier": "M85", "position": [2, 3], "step": 33, "ordinal_position": 34}, {"identifier": "C57", "position": [3, 3], "step": 34, "ordinal_position": 35}, {"identifier": "C48", "position": [3, 4], "step": 35, "ordinal_position": 36}, {"identifier": "T41", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "E83", "position": [3, 6], "step": 37, "ordinal_position": 38}, {"identifier": "R12", "position": [3, 7], "step": 38, "ordinal_position": 39}, {"identifier": "Y34", "position": [4, 7], "step": 39, "ordinal_position": 40}, {"identifier": "G22", "position": [5, 7], "step": 40, "ordinal_position": 41}, {"identifier": "O81", "position": [6, 7], "step": 41, "ordinal_position": 42}, {"identifier": "V77", "position": [7, 7], "step": 42, "ordinal_position": 43}, {"identifier": "Z35", "position": [7, 6], "step": 43, "ordinal_position": 44}, {"identifier": "D17", "position": [7, 5], "step": 44, "ordinal_position": 45}, {"identifier": "X11", "position": [8, 5], "step": 45, "ordinal_position": 46}, {"identifier": "S38", "position": [9, 5], "step": 46, "ordinal_position": 47}, {"identifier": "S68", "position": [9, 6], "step": 47, "ordinal_position": 48}, {"identifier": "L05", "position": [9, 7], "step": 48, "ordinal_position": 49}, {"identifier": "O01", "position": [9, 8], "step": 49, "ordinal_position": 50}, {"identifier": "Y94", "position": [9, 9], "step": 50, "ordinal_position": 51}, {"identifier": "K17", "position": [8, 9], "step": 51, "ordinal_position": 52}, {"identifier": "R51", "position": [7, 9], "step": 52, "ordinal_position": 53}, {"identifier": "D35", "position": [6, 9], "step": 53, "ordinal_position": 54}, {"identifier": "O34", "position": [5, 9], "step": 54, "ordinal_position": 55}, {"identifier": "R27", "position": [4, 9], "step": 55, "ordinal_position": 56}, {"identifier": "T07", "position": [3, 9], "step": 56, "ordinal_position": 57}, {"identifier": "M27", "position": [2, 9], "step": 57, "ordinal_position": 58}, {"identifier": "X52", "position": [1, 9], "step": 58, "ordinal_position": 59}, {"identifier": "G75", "position": [1, 8], "step": 59, "ordinal_position": 60}, {"identifier": "H36", "position": [1, 7], "step": 60, "ordinal_position": 61}, {"identifier": "L79", "position": [1, 6], "step": 61, "ordinal_position": 62}, {"identifier": "U34", "position": [1, 5], "step": 62, "ordinal_position": 63}, {"identifier": "U27", "position": [2, 5], "step": 63, "ordinal_position": 64}, {"identifier": "T41", "position": [3, 5], "step": 64, "ordinal_position": 65}, {"identifier": "E83", "position": [3, 6], "step": 65, "ordinal_position": 66}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 66, "direction": "left", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_007.json"}} {"qa_id": "74ac4e0c989c40cd8fdc6f33a3a6b58d", "image_id": "L3-MazeLoop-test_11x11_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R12, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 90th position in this traversal?", "start_object_id": "R12", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [90], "ordinal_strings": ["90th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "C44", "traversal_path": [{"identifier": "R12", "position": [3, 7], "step": 0, "ordinal_position": 1}, {"identifier": "E83", "position": [3, 6], "step": 1, "ordinal_position": 2}, {"identifier": "T41", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "C48", "position": [3, 4], "step": 3, "ordinal_position": 4}, {"identifier": "C57", "position": [3, 3], "step": 4, "ordinal_position": 5}, {"identifier": "M85", "position": [2, 3], "step": 5, "ordinal_position": 6}, {"identifier": "M29", "position": [1, 3], "step": 6, "ordinal_position": 7}, {"identifier": "C66", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "U33", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "O06", "position": [2, 1], "step": 9, "ordinal_position": 10}, {"identifier": "X47", "position": [3, 1], "step": 10, "ordinal_position": 11}, {"identifier": "D83", "position": [4, 1], "step": 11, "ordinal_position": 12}, {"identifier": "C81", "position": [5, 1], "step": 12, "ordinal_position": 13}, {"identifier": "W85", "position": [6, 1], "step": 13, "ordinal_position": 14}, {"identifier": "X75", "position": [7, 1], "step": 14, "ordinal_position": 15}, {"identifier": "C99", "position": [8, 1], "step": 15, "ordinal_position": 16}, {"identifier": "S56", "position": [9, 1], "step": 16, "ordinal_position": 17}, {"identifier": "C44", "position": [9, 2], "step": 17, "ordinal_position": 18}, {"identifier": "J99", "position": [9, 3], "step": 18, "ordinal_position": 19}, {"identifier": "V51", "position": [9, 4], "step": 19, "ordinal_position": 20}, {"identifier": "S38", "position": [9, 5], "step": 20, "ordinal_position": 21}, {"identifier": "S68", "position": [9, 6], "step": 21, "ordinal_position": 22}, {"identifier": "L05", "position": [9, 7], "step": 22, "ordinal_position": 23}, {"identifier": "O01", "position": [9, 8], "step": 23, "ordinal_position": 24}, {"identifier": "Y94", "position": [9, 9], "step": 24, "ordinal_position": 25}, {"identifier": "K17", "position": [8, 9], "step": 25, "ordinal_position": 26}, {"identifier": "R51", "position": [7, 9], "step": 26, "ordinal_position": 27}, {"identifier": "D35", "position": [6, 9], "step": 27, "ordinal_position": 28}, {"identifier": "O34", "position": [5, 9], "step": 28, "ordinal_position": 29}, {"identifier": "R27", "position": [4, 9], "step": 29, "ordinal_position": 30}, {"identifier": "T07", "position": [3, 9], "step": 30, "ordinal_position": 31}, {"identifier": "M27", "position": [2, 9], "step": 31, "ordinal_position": 32}, {"identifier": "X52", "position": [1, 9], "step": 32, "ordinal_position": 33}, {"identifier": "G75", "position": [1, 8], "step": 33, "ordinal_position": 34}, {"identifier": "H36", "position": [1, 7], "step": 34, "ordinal_position": 35}, {"identifier": "L79", "position": [1, 6], "step": 35, "ordinal_position": 36}, {"identifier": "U34", "position": [1, 5], "step": 36, "ordinal_position": 37}, {"identifier": "U27", "position": [2, 5], "step": 37, "ordinal_position": 38}, {"identifier": "T41", "position": [3, 5], "step": 38, "ordinal_position": 39}, {"identifier": "C48", "position": [3, 4], "step": 39, "ordinal_position": 40}, {"identifier": "C57", "position": [3, 3], "step": 40, "ordinal_position": 41}, {"identifier": "M85", "position": [2, 3], "step": 41, "ordinal_position": 42}, {"identifier": "M29", "position": [1, 3], "step": 42, "ordinal_position": 43}, {"identifier": "C66", "position": [1, 2], "step": 43, "ordinal_position": 44}, {"identifier": "U33", "position": [1, 1], "step": 44, "ordinal_position": 45}, {"identifier": "O06", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "X47", "position": [3, 1], "step": 46, "ordinal_position": 47}, {"identifier": "D83", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "C81", "position": [5, 1], "step": 48, "ordinal_position": 49}, {"identifier": "W85", "position": [6, 1], "step": 49, "ordinal_position": 50}, {"identifier": "X75", "position": [7, 1], "step": 50, "ordinal_position": 51}, {"identifier": "C99", "position": [8, 1], "step": 51, "ordinal_position": 52}, {"identifier": "S56", "position": [9, 1], "step": 52, "ordinal_position": 53}, {"identifier": "C44", "position": [9, 2], "step": 53, "ordinal_position": 54}, {"identifier": "J99", "position": [9, 3], "step": 54, "ordinal_position": 55}, {"identifier": "V51", "position": [9, 4], "step": 55, "ordinal_position": 56}, {"identifier": "S38", "position": [9, 5], "step": 56, "ordinal_position": 57}, {"identifier": "S68", "position": [9, 6], "step": 57, "ordinal_position": 58}, {"identifier": "L05", "position": [9, 7], "step": 58, "ordinal_position": 59}, {"identifier": "O01", "position": [9, 8], "step": 59, "ordinal_position": 60}, {"identifier": "Y94", "position": [9, 9], "step": 60, "ordinal_position": 61}, {"identifier": "K17", "position": [8, 9], "step": 61, "ordinal_position": 62}, {"identifier": "R51", "position": [7, 9], "step": 62, "ordinal_position": 63}, {"identifier": "D35", "position": [6, 9], "step": 63, "ordinal_position": 64}, {"identifier": "O34", "position": [5, 9], "step": 64, "ordinal_position": 65}, {"identifier": "R27", "position": [4, 9], "step": 65, "ordinal_position": 66}, {"identifier": "T07", "position": [3, 9], "step": 66, "ordinal_position": 67}, {"identifier": "M27", "position": [2, 9], "step": 67, "ordinal_position": 68}, {"identifier": "X52", "position": [1, 9], "step": 68, "ordinal_position": 69}, {"identifier": "G75", "position": [1, 8], "step": 69, "ordinal_position": 70}, {"identifier": "H36", "position": [1, 7], "step": 70, "ordinal_position": 71}, {"identifier": "L79", "position": [1, 6], "step": 71, "ordinal_position": 72}, {"identifier": "U34", "position": [1, 5], "step": 72, "ordinal_position": 73}, {"identifier": "U27", "position": [2, 5], "step": 73, "ordinal_position": 74}, {"identifier": "T41", "position": [3, 5], "step": 74, "ordinal_position": 75}, {"identifier": "C48", "position": [3, 4], "step": 75, "ordinal_position": 76}, {"identifier": "C57", "position": [3, 3], "step": 76, "ordinal_position": 77}, {"identifier": "M85", "position": [2, 3], "step": 77, "ordinal_position": 78}, {"identifier": "M29", "position": [1, 3], "step": 78, "ordinal_position": 79}, {"identifier": "C66", "position": [1, 2], "step": 79, "ordinal_position": 80}, {"identifier": "U33", "position": [1, 1], "step": 80, "ordinal_position": 81}, {"identifier": "O06", "position": [2, 1], "step": 81, "ordinal_position": 82}, {"identifier": "X47", "position": [3, 1], "step": 82, "ordinal_position": 83}, {"identifier": "D83", "position": [4, 1], "step": 83, "ordinal_position": 84}, {"identifier": "C81", "position": [5, 1], "step": 84, "ordinal_position": 85}, {"identifier": "W85", "position": [6, 1], "step": 85, "ordinal_position": 86}, {"identifier": "X75", "position": [7, 1], "step": 86, "ordinal_position": 87}, {"identifier": "C99", "position": [8, 1], "step": 87, "ordinal_position": 88}, {"identifier": "S56", "position": [9, 1], "step": 88, "ordinal_position": 89}, {"identifier": "C44", "position": [9, 2], "step": 89, "ordinal_position": 90}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 90, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_007.json"}} {"qa_id": "25d7ad98a4d8420c8605021ed4d98183", "image_id": "L3-MazeLoop-test_11x11_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C81, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 38th position in this traversal?", "start_object_id": "C81", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [38], "ordinal_strings": ["38th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "S68", "traversal_path": [{"identifier": "C81", "position": [5, 1], "step": 0, "ordinal_position": 1}, {"identifier": "W85", "position": [6, 1], "step": 1, "ordinal_position": 2}, {"identifier": "X75", "position": [7, 1], "step": 2, "ordinal_position": 3}, {"identifier": "C99", "position": [8, 1], "step": 3, "ordinal_position": 4}, {"identifier": "S56", "position": [9, 1], "step": 4, "ordinal_position": 5}, {"identifier": "C44", "position": [9, 2], "step": 5, "ordinal_position": 6}, {"identifier": "J99", "position": [9, 3], "step": 6, "ordinal_position": 7}, {"identifier": "V51", "position": [9, 4], "step": 7, "ordinal_position": 8}, {"identifier": "S38", "position": [9, 5], "step": 8, "ordinal_position": 9}, {"identifier": "S68", "position": [9, 6], "step": 9, "ordinal_position": 10}, {"identifier": "L05", "position": [9, 7], "step": 10, "ordinal_position": 11}, {"identifier": "O01", "position": [9, 8], "step": 11, "ordinal_position": 12}, {"identifier": "Y94", "position": [9, 9], "step": 12, "ordinal_position": 13}, {"identifier": "K17", "position": [8, 9], "step": 13, "ordinal_position": 14}, {"identifier": "R51", "position": [7, 9], "step": 14, "ordinal_position": 15}, {"identifier": "D35", "position": [6, 9], "step": 15, "ordinal_position": 16}, {"identifier": "O34", "position": [5, 9], "step": 16, "ordinal_position": 17}, {"identifier": "R27", "position": [4, 9], "step": 17, "ordinal_position": 18}, {"identifier": "T07", "position": [3, 9], "step": 18, "ordinal_position": 19}, {"identifier": "M27", "position": [2, 9], "step": 19, "ordinal_position": 20}, {"identifier": "X52", "position": [1, 9], "step": 20, "ordinal_position": 21}, {"identifier": "G75", "position": [1, 8], "step": 21, "ordinal_position": 22}, {"identifier": "H36", "position": [1, 7], "step": 22, "ordinal_position": 23}, {"identifier": "L79", "position": [1, 6], "step": 23, "ordinal_position": 24}, {"identifier": "U34", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "U27", "position": [2, 5], "step": 25, "ordinal_position": 26}, {"identifier": "T41", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "E83", "position": [3, 6], "step": 27, "ordinal_position": 28}, {"identifier": "R12", "position": [3, 7], "step": 28, "ordinal_position": 29}, {"identifier": "Y34", "position": [4, 7], "step": 29, "ordinal_position": 30}, {"identifier": "G22", "position": [5, 7], "step": 30, "ordinal_position": 31}, {"identifier": "O81", "position": [6, 7], "step": 31, "ordinal_position": 32}, {"identifier": "V77", "position": [7, 7], "step": 32, "ordinal_position": 33}, {"identifier": "Z35", "position": [7, 6], "step": 33, "ordinal_position": 34}, {"identifier": "D17", "position": [7, 5], "step": 34, "ordinal_position": 35}, {"identifier": "X11", "position": [8, 5], "step": 35, "ordinal_position": 36}, {"identifier": "S38", "position": [9, 5], "step": 36, "ordinal_position": 37}, {"identifier": "S68", "position": [9, 6], "step": 37, "ordinal_position": 38}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 38, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_007.json"}} {"qa_id": "b65b52a6990147da87d9f77ed43149df", "image_id": "L3-MazeLoop-test_11x11_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W43, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 42nd position in this traversal?", "start_object_id": "W43", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [42], "ordinal_strings": ["42nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "T41", "traversal_path": [{"identifier": "W43", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "U02", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "I43", "position": [5, 2], "step": 2, "ordinal_position": 3}, {"identifier": "C81", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "D83", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "X47", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "O06", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "U33", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "C66", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "M29", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "M85", "position": [2, 3], "step": 10, "ordinal_position": 11}, {"identifier": "C57", "position": [3, 3], "step": 11, "ordinal_position": 12}, {"identifier": "C48", "position": [3, 4], "step": 12, "ordinal_position": 13}, {"identifier": "T41", "position": [3, 5], "step": 13, "ordinal_position": 14}, {"identifier": "E83", "position": [3, 6], "step": 14, "ordinal_position": 15}, {"identifier": "R12", "position": [3, 7], "step": 15, "ordinal_position": 16}, {"identifier": "Y34", "position": [4, 7], "step": 16, "ordinal_position": 17}, {"identifier": "G22", "position": [5, 7], "step": 17, "ordinal_position": 18}, {"identifier": "O81", "position": [6, 7], "step": 18, "ordinal_position": 19}, {"identifier": "V77", "position": [7, 7], "step": 19, "ordinal_position": 20}, {"identifier": "Z35", "position": [7, 6], "step": 20, "ordinal_position": 21}, {"identifier": "D17", "position": [7, 5], "step": 21, "ordinal_position": 22}, {"identifier": "X11", "position": [8, 5], "step": 22, "ordinal_position": 23}, {"identifier": "S38", "position": [9, 5], "step": 23, "ordinal_position": 24}, {"identifier": "V51", "position": [9, 4], "step": 24, "ordinal_position": 25}, {"identifier": "J99", "position": [9, 3], "step": 25, "ordinal_position": 26}, {"identifier": "C44", "position": [9, 2], "step": 26, "ordinal_position": 27}, {"identifier": "S56", "position": [9, 1], "step": 27, "ordinal_position": 28}, {"identifier": "C99", "position": [8, 1], "step": 28, "ordinal_position": 29}, {"identifier": "X75", "position": [7, 1], "step": 29, "ordinal_position": 30}, {"identifier": "W85", "position": [6, 1], "step": 30, "ordinal_position": 31}, {"identifier": "C81", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "D83", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "X47", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "O06", "position": [2, 1], "step": 34, "ordinal_position": 35}, {"identifier": "U33", "position": [1, 1], "step": 35, "ordinal_position": 36}, {"identifier": "C66", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "M29", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "M85", "position": [2, 3], "step": 38, "ordinal_position": 39}, {"identifier": "C57", "position": [3, 3], "step": 39, "ordinal_position": 40}, {"identifier": "C48", "position": [3, 4], "step": 40, "ordinal_position": 41}, {"identifier": "T41", "position": [3, 5], "step": 41, "ordinal_position": 42}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 42, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_007.json"}} {"qa_id": "2ee29d5e7e1047a3b9b6efb33f3848fb", "image_id": "L3-MazeLoop-test_11x11_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T07, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 209th position in this traversal?", "start_object_id": "T07", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [209], "ordinal_strings": ["209th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "J99", "traversal_path": [{"identifier": "T07", "position": [3, 9], "step": 0, "ordinal_position": 1}, {"identifier": "R27", "position": [4, 9], "step": 1, "ordinal_position": 2}, {"identifier": "O34", "position": [5, 9], "step": 2, "ordinal_position": 3}, {"identifier": "D35", "position": [6, 9], "step": 3, "ordinal_position": 4}, {"identifier": "R51", "position": [7, 9], "step": 4, "ordinal_position": 5}, {"identifier": "K17", "position": [8, 9], "step": 5, "ordinal_position": 6}, {"identifier": "Y94", "position": [9, 9], "step": 6, "ordinal_position": 7}, {"identifier": "O01", "position": [9, 8], "step": 7, "ordinal_position": 8}, {"identifier": "L05", "position": [9, 7], "step": 8, "ordinal_position": 9}, {"identifier": "S68", "position": [9, 6], "step": 9, "ordinal_position": 10}, {"identifier": "S38", "position": [9, 5], "step": 10, "ordinal_position": 11}, {"identifier": "V51", "position": [9, 4], "step": 11, "ordinal_position": 12}, {"identifier": "J99", "position": [9, 3], "step": 12, "ordinal_position": 13}, {"identifier": "C44", "position": [9, 2], "step": 13, "ordinal_position": 14}, {"identifier": "S56", "position": [9, 1], "step": 14, "ordinal_position": 15}, {"identifier": "C99", "position": [8, 1], "step": 15, "ordinal_position": 16}, {"identifier": "X75", "position": [7, 1], "step": 16, "ordinal_position": 17}, {"identifier": "W85", "position": [6, 1], "step": 17, "ordinal_position": 18}, {"identifier": "C81", "position": [5, 1], "step": 18, "ordinal_position": 19}, {"identifier": "D83", "position": [4, 1], "step": 19, "ordinal_position": 20}, {"identifier": "X47", "position": [3, 1], "step": 20, "ordinal_position": 21}, {"identifier": "O06", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "U33", "position": [1, 1], "step": 22, "ordinal_position": 23}, {"identifier": "C66", "position": [1, 2], "step": 23, "ordinal_position": 24}, {"identifier": "M29", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "M85", "position": [2, 3], "step": 25, "ordinal_position": 26}, {"identifier": "C57", "position": [3, 3], "step": 26, "ordinal_position": 27}, {"identifier": "C48", "position": [3, 4], "step": 27, "ordinal_position": 28}, {"identifier": "T41", "position": [3, 5], "step": 28, "ordinal_position": 29}, {"identifier": "E83", "position": [3, 6], "step": 29, "ordinal_position": 30}, {"identifier": "R12", "position": [3, 7], "step": 30, "ordinal_position": 31}, {"identifier": "Y34", "position": [4, 7], "step": 31, "ordinal_position": 32}, {"identifier": "G22", "position": [5, 7], "step": 32, "ordinal_position": 33}, {"identifier": "O81", "position": [6, 7], "step": 33, "ordinal_position": 34}, {"identifier": "V77", "position": [7, 7], "step": 34, "ordinal_position": 35}, {"identifier": "Z35", "position": [7, 6], "step": 35, "ordinal_position": 36}, {"identifier": "D17", "position": [7, 5], "step": 36, "ordinal_position": 37}, {"identifier": "X11", "position": [8, 5], "step": 37, "ordinal_position": 38}, {"identifier": "S38", "position": [9, 5], "step": 38, "ordinal_position": 39}, {"identifier": "V51", "position": [9, 4], "step": 39, "ordinal_position": 40}, {"identifier": "J99", "position": [9, 3], "step": 40, "ordinal_position": 41}, {"identifier": "C44", "position": [9, 2], "step": 41, "ordinal_position": 42}, {"identifier": "S56", "position": [9, 1], "step": 42, "ordinal_position": 43}, {"identifier": "C99", "position": [8, 1], "step": 43, "ordinal_position": 44}, {"identifier": "X75", "position": [7, 1], "step": 44, "ordinal_position": 45}, {"identifier": "W85", "position": [6, 1], "step": 45, "ordinal_position": 46}, {"identifier": "C81", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "D83", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "X47", "position": [3, 1], "step": 48, "ordinal_position": 49}, {"identifier": "O06", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "U33", "position": [1, 1], "step": 50, "ordinal_position": 51}, {"identifier": "C66", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "M29", "position": [1, 3], "step": 52, "ordinal_position": 53}, {"identifier": "M85", "position": [2, 3], "step": 53, "ordinal_position": 54}, {"identifier": "C57", "position": [3, 3], "step": 54, "ordinal_position": 55}, {"identifier": "C48", "position": [3, 4], "step": 55, "ordinal_position": 56}, {"identifier": "T41", "position": [3, 5], "step": 56, "ordinal_position": 57}, {"identifier": "E83", "position": [3, 6], "step": 57, "ordinal_position": 58}, {"identifier": "R12", "position": [3, 7], "step": 58, "ordinal_position": 59}, {"identifier": "Y34", "position": [4, 7], "step": 59, "ordinal_position": 60}, {"identifier": "G22", "position": [5, 7], "step": 60, "ordinal_position": 61}, {"identifier": "O81", "position": [6, 7], "step": 61, "ordinal_position": 62}, {"identifier": "V77", "position": [7, 7], "step": 62, "ordinal_position": 63}, {"identifier": "Z35", "position": [7, 6], "step": 63, "ordinal_position": 64}, {"identifier": "D17", "position": [7, 5], "step": 64, "ordinal_position": 65}, {"identifier": "X11", "position": [8, 5], "step": 65, "ordinal_position": 66}, {"identifier": "S38", "position": [9, 5], "step": 66, "ordinal_position": 67}, {"identifier": "V51", "position": [9, 4], "step": 67, "ordinal_position": 68}, {"identifier": "J99", "position": [9, 3], "step": 68, "ordinal_position": 69}, {"identifier": "C44", "position": [9, 2], "step": 69, "ordinal_position": 70}, {"identifier": "S56", "position": [9, 1], "step": 70, "ordinal_position": 71}, {"identifier": "C99", "position": [8, 1], "step": 71, "ordinal_position": 72}, {"identifier": "X75", "position": [7, 1], "step": 72, "ordinal_position": 73}, {"identifier": "W85", "position": [6, 1], "step": 73, "ordinal_position": 74}, {"identifier": "C81", "position": [5, 1], "step": 74, "ordinal_position": 75}, {"identifier": "D83", "position": [4, 1], "step": 75, "ordinal_position": 76}, {"identifier": "X47", "position": [3, 1], "step": 76, "ordinal_position": 77}, {"identifier": "O06", "position": [2, 1], "step": 77, "ordinal_position": 78}, {"identifier": "U33", "position": [1, 1], "step": 78, "ordinal_position": 79}, {"identifier": "C66", "position": [1, 2], "step": 79, "ordinal_position": 80}, {"identifier": "M29", "position": [1, 3], "step": 80, "ordinal_position": 81}, {"identifier": "M85", "position": [2, 3], "step": 81, "ordinal_position": 82}, {"identifier": "C57", "position": [3, 3], "step": 82, "ordinal_position": 83}, {"identifier": "C48", "position": [3, 4], "step": 83, "ordinal_position": 84}, {"identifier": "T41", "position": [3, 5], "step": 84, "ordinal_position": 85}, {"identifier": "E83", "position": [3, 6], "step": 85, "ordinal_position": 86}, {"identifier": "R12", "position": [3, 7], "step": 86, "ordinal_position": 87}, {"identifier": "Y34", "position": [4, 7], "step": 87, "ordinal_position": 88}, {"identifier": "G22", "position": [5, 7], "step": 88, "ordinal_position": 89}, {"identifier": "O81", "position": [6, 7], "step": 89, "ordinal_position": 90}, {"identifier": "V77", "position": [7, 7], "step": 90, "ordinal_position": 91}, {"identifier": "Z35", "position": [7, 6], "step": 91, "ordinal_position": 92}, {"identifier": "D17", "position": [7, 5], "step": 92, "ordinal_position": 93}, {"identifier": "X11", "position": [8, 5], "step": 93, "ordinal_position": 94}, {"identifier": "S38", "position": [9, 5], "step": 94, "ordinal_position": 95}, {"identifier": "V51", "position": [9, 4], "step": 95, "ordinal_position": 96}, {"identifier": "J99", "position": [9, 3], "step": 96, "ordinal_position": 97}, {"identifier": "C44", "position": [9, 2], "step": 97, "ordinal_position": 98}, {"identifier": "S56", "position": [9, 1], "step": 98, "ordinal_position": 99}, {"identifier": "C99", "position": [8, 1], "step": 99, "ordinal_position": 100}, {"identifier": "X75", "position": [7, 1], "step": 100, "ordinal_position": 101}, {"identifier": "W85", "position": [6, 1], "step": 101, "ordinal_position": 102}, {"identifier": "C81", "position": [5, 1], "step": 102, "ordinal_position": 103}, {"identifier": "D83", "position": [4, 1], "step": 103, "ordinal_position": 104}, {"identifier": "X47", "position": [3, 1], "step": 104, "ordinal_position": 105}, {"identifier": "O06", "position": [2, 1], "step": 105, "ordinal_position": 106}, {"identifier": "U33", "position": [1, 1], "step": 106, "ordinal_position": 107}, {"identifier": "C66", "position": [1, 2], "step": 107, "ordinal_position": 108}, {"identifier": "M29", "position": [1, 3], "step": 108, "ordinal_position": 109}, {"identifier": "M85", "position": [2, 3], "step": 109, "ordinal_position": 110}, {"identifier": "C57", "position": [3, 3], "step": 110, "ordinal_position": 111}, {"identifier": "C48", "position": [3, 4], "step": 111, "ordinal_position": 112}, {"identifier": "T41", "position": [3, 5], "step": 112, "ordinal_position": 113}, {"identifier": "E83", "position": [3, 6], "step": 113, "ordinal_position": 114}, {"identifier": "R12", "position": [3, 7], "step": 114, "ordinal_position": 115}, {"identifier": "Y34", "position": [4, 7], "step": 115, "ordinal_position": 116}, {"identifier": "G22", "position": [5, 7], "step": 116, "ordinal_position": 117}, {"identifier": "O81", "position": [6, 7], "step": 117, "ordinal_position": 118}, {"identifier": "V77", "position": [7, 7], "step": 118, "ordinal_position": 119}, {"identifier": "Z35", "position": [7, 6], "step": 119, "ordinal_position": 120}, {"identifier": "D17", "position": [7, 5], "step": 120, "ordinal_position": 121}, {"identifier": "X11", "position": [8, 5], "step": 121, "ordinal_position": 122}, {"identifier": "S38", "position": [9, 5], "step": 122, "ordinal_position": 123}, {"identifier": "V51", "position": [9, 4], "step": 123, "ordinal_position": 124}, {"identifier": "J99", "position": [9, 3], "step": 124, "ordinal_position": 125}, {"identifier": "C44", "position": [9, 2], "step": 125, "ordinal_position": 126}, {"identifier": "S56", "position": [9, 1], "step": 126, "ordinal_position": 127}, {"identifier": "C99", "position": [8, 1], "step": 127, "ordinal_position": 128}, {"identifier": "X75", "position": [7, 1], "step": 128, "ordinal_position": 129}, {"identifier": "W85", "position": [6, 1], "step": 129, "ordinal_position": 130}, {"identifier": "C81", "position": [5, 1], "step": 130, "ordinal_position": 131}, {"identifier": "D83", "position": [4, 1], "step": 131, "ordinal_position": 132}, {"identifier": "X47", "position": [3, 1], "step": 132, "ordinal_position": 133}, {"identifier": "O06", "position": [2, 1], "step": 133, "ordinal_position": 134}, {"identifier": "U33", "position": [1, 1], "step": 134, "ordinal_position": 135}, {"identifier": "C66", "position": [1, 2], "step": 135, "ordinal_position": 136}, {"identifier": "M29", "position": [1, 3], "step": 136, "ordinal_position": 137}, {"identifier": "M85", "position": [2, 3], "step": 137, "ordinal_position": 138}, {"identifier": "C57", "position": [3, 3], "step": 138, "ordinal_position": 139}, {"identifier": "C48", "position": [3, 4], "step": 139, "ordinal_position": 140}, {"identifier": "T41", "position": [3, 5], "step": 140, "ordinal_position": 141}, {"identifier": "E83", "position": [3, 6], "step": 141, "ordinal_position": 142}, {"identifier": "R12", "position": [3, 7], "step": 142, "ordinal_position": 143}, {"identifier": "Y34", "position": [4, 7], "step": 143, "ordinal_position": 144}, {"identifier": "G22", "position": [5, 7], "step": 144, "ordinal_position": 145}, {"identifier": "O81", "position": [6, 7], "step": 145, "ordinal_position": 146}, {"identifier": "V77", "position": [7, 7], "step": 146, "ordinal_position": 147}, {"identifier": "Z35", "position": [7, 6], "step": 147, "ordinal_position": 148}, {"identifier": "D17", "position": [7, 5], "step": 148, "ordinal_position": 149}, {"identifier": "X11", "position": [8, 5], "step": 149, "ordinal_position": 150}, {"identifier": "S38", "position": [9, 5], "step": 150, "ordinal_position": 151}, {"identifier": "V51", "position": [9, 4], "step": 151, "ordinal_position": 152}, {"identifier": "J99", "position": [9, 3], "step": 152, "ordinal_position": 153}, {"identifier": "C44", "position": [9, 2], "step": 153, "ordinal_position": 154}, {"identifier": "S56", "position": [9, 1], "step": 154, "ordinal_position": 155}, {"identifier": "C99", "position": [8, 1], "step": 155, "ordinal_position": 156}, {"identifier": "X75", "position": [7, 1], "step": 156, "ordinal_position": 157}, {"identifier": "W85", "position": [6, 1], "step": 157, "ordinal_position": 158}, {"identifier": "C81", "position": [5, 1], "step": 158, "ordinal_position": 159}, {"identifier": "D83", "position": [4, 1], "step": 159, "ordinal_position": 160}, {"identifier": "X47", "position": [3, 1], "step": 160, "ordinal_position": 161}, {"identifier": "O06", "position": [2, 1], "step": 161, "ordinal_position": 162}, {"identifier": "U33", "position": [1, 1], "step": 162, "ordinal_position": 163}, {"identifier": "C66", "position": [1, 2], "step": 163, "ordinal_position": 164}, {"identifier": "M29", "position": [1, 3], "step": 164, "ordinal_position": 165}, {"identifier": "M85", "position": [2, 3], "step": 165, "ordinal_position": 166}, {"identifier": "C57", "position": [3, 3], "step": 166, "ordinal_position": 167}, {"identifier": "C48", "position": [3, 4], "step": 167, "ordinal_position": 168}, {"identifier": "T41", "position": [3, 5], "step": 168, "ordinal_position": 169}, {"identifier": "E83", "position": [3, 6], "step": 169, "ordinal_position": 170}, {"identifier": "R12", "position": [3, 7], "step": 170, "ordinal_position": 171}, {"identifier": "Y34", "position": [4, 7], "step": 171, "ordinal_position": 172}, {"identifier": "G22", "position": [5, 7], "step": 172, "ordinal_position": 173}, {"identifier": "O81", "position": [6, 7], "step": 173, "ordinal_position": 174}, {"identifier": "V77", "position": [7, 7], "step": 174, "ordinal_position": 175}, {"identifier": "Z35", "position": [7, 6], "step": 175, "ordinal_position": 176}, {"identifier": "D17", "position": [7, 5], "step": 176, "ordinal_position": 177}, {"identifier": "X11", "position": [8, 5], "step": 177, "ordinal_position": 178}, {"identifier": "S38", "position": [9, 5], "step": 178, "ordinal_position": 179}, {"identifier": "V51", "position": [9, 4], "step": 179, "ordinal_position": 180}, {"identifier": "J99", "position": [9, 3], "step": 180, "ordinal_position": 181}, {"identifier": "C44", "position": [9, 2], "step": 181, "ordinal_position": 182}, {"identifier": "S56", "position": [9, 1], "step": 182, "ordinal_position": 183}, {"identifier": "C99", "position": [8, 1], "step": 183, "ordinal_position": 184}, {"identifier": "X75", "position": [7, 1], "step": 184, "ordinal_position": 185}, {"identifier": "W85", "position": [6, 1], "step": 185, "ordinal_position": 186}, {"identifier": "C81", "position": [5, 1], "step": 186, "ordinal_position": 187}, {"identifier": "D83", "position": [4, 1], "step": 187, "ordinal_position": 188}, {"identifier": "X47", "position": [3, 1], "step": 188, "ordinal_position": 189}, {"identifier": "O06", "position": [2, 1], "step": 189, "ordinal_position": 190}, {"identifier": "U33", "position": [1, 1], "step": 190, "ordinal_position": 191}, {"identifier": "C66", "position": [1, 2], "step": 191, "ordinal_position": 192}, {"identifier": "M29", "position": [1, 3], "step": 192, "ordinal_position": 193}, {"identifier": "M85", "position": [2, 3], "step": 193, "ordinal_position": 194}, {"identifier": "C57", "position": [3, 3], "step": 194, "ordinal_position": 195}, {"identifier": "C48", "position": [3, 4], "step": 195, "ordinal_position": 196}, {"identifier": "T41", "position": [3, 5], "step": 196, "ordinal_position": 197}, {"identifier": "E83", "position": [3, 6], "step": 197, "ordinal_position": 198}, {"identifier": "R12", "position": [3, 7], "step": 198, "ordinal_position": 199}, {"identifier": "Y34", "position": [4, 7], "step": 199, "ordinal_position": 200}, {"identifier": "G22", "position": [5, 7], "step": 200, "ordinal_position": 201}, {"identifier": "O81", "position": [6, 7], "step": 201, "ordinal_position": 202}, {"identifier": "V77", "position": [7, 7], "step": 202, "ordinal_position": 203}, {"identifier": "Z35", "position": [7, 6], "step": 203, "ordinal_position": 204}, {"identifier": "D17", "position": [7, 5], "step": 204, "ordinal_position": 205}, {"identifier": "X11", "position": [8, 5], "step": 205, "ordinal_position": 206}, {"identifier": "S38", "position": [9, 5], "step": 206, "ordinal_position": 207}, {"identifier": "V51", "position": [9, 4], "step": 207, "ordinal_position": 208}, {"identifier": "J99", "position": [9, 3], "step": 208, "ordinal_position": 209}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 209, "direction": "right", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_007.json"}} {"qa_id": "c69d521156fa4a86b1e2e47ed7b90025", "image_id": "L3-MazeLoop-test_11x11_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V77, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 271st position in this traversal?", "start_object_id": "V77", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [271], "ordinal_strings": ["271st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "X75", "traversal_path": [{"identifier": "V77", "position": [7, 7], "step": 0, "ordinal_position": 1}, {"identifier": "O81", "position": [6, 7], "step": 1, "ordinal_position": 2}, {"identifier": "G22", "position": [5, 7], "step": 2, "ordinal_position": 3}, {"identifier": "Y34", "position": [4, 7], "step": 3, "ordinal_position": 4}, {"identifier": "R12", "position": [3, 7], "step": 4, "ordinal_position": 5}, {"identifier": "E83", "position": [3, 6], "step": 5, "ordinal_position": 6}, {"identifier": "T41", "position": [3, 5], "step": 6, "ordinal_position": 7}, {"identifier": "C48", "position": [3, 4], "step": 7, "ordinal_position": 8}, {"identifier": "C57", "position": [3, 3], "step": 8, "ordinal_position": 9}, {"identifier": "M85", "position": [2, 3], "step": 9, "ordinal_position": 10}, {"identifier": "M29", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "C66", "position": [1, 2], "step": 11, "ordinal_position": 12}, {"identifier": "U33", "position": [1, 1], "step": 12, "ordinal_position": 13}, {"identifier": "O06", "position": [2, 1], "step": 13, "ordinal_position": 14}, {"identifier": "X47", "position": [3, 1], "step": 14, "ordinal_position": 15}, {"identifier": "D83", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "C81", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "W85", "position": [6, 1], "step": 17, "ordinal_position": 18}, {"identifier": "X75", "position": [7, 1], "step": 18, "ordinal_position": 19}, {"identifier": "C99", "position": [8, 1], "step": 19, "ordinal_position": 20}, {"identifier": "S56", "position": [9, 1], "step": 20, "ordinal_position": 21}, {"identifier": "C44", "position": [9, 2], "step": 21, "ordinal_position": 22}, {"identifier": "J99", "position": [9, 3], "step": 22, "ordinal_position": 23}, {"identifier": "V51", "position": [9, 4], "step": 23, "ordinal_position": 24}, {"identifier": "S38", "position": [9, 5], "step": 24, "ordinal_position": 25}, {"identifier": "S68", "position": [9, 6], "step": 25, "ordinal_position": 26}, {"identifier": "L05", "position": [9, 7], "step": 26, "ordinal_position": 27}, {"identifier": "O01", "position": [9, 8], "step": 27, "ordinal_position": 28}, {"identifier": "Y94", "position": [9, 9], "step": 28, "ordinal_position": 29}, {"identifier": "K17", "position": [8, 9], "step": 29, "ordinal_position": 30}, {"identifier": "R51", "position": [7, 9], "step": 30, "ordinal_position": 31}, {"identifier": "D35", "position": [6, 9], "step": 31, "ordinal_position": 32}, {"identifier": "O34", "position": [5, 9], "step": 32, "ordinal_position": 33}, {"identifier": "R27", "position": [4, 9], "step": 33, "ordinal_position": 34}, {"identifier": "T07", "position": [3, 9], "step": 34, "ordinal_position": 35}, {"identifier": "M27", "position": [2, 9], "step": 35, "ordinal_position": 36}, {"identifier": "X52", "position": [1, 9], "step": 36, "ordinal_position": 37}, {"identifier": "G75", "position": [1, 8], "step": 37, "ordinal_position": 38}, {"identifier": "H36", "position": [1, 7], "step": 38, "ordinal_position": 39}, {"identifier": "L79", "position": [1, 6], "step": 39, "ordinal_position": 40}, {"identifier": "U34", "position": [1, 5], "step": 40, "ordinal_position": 41}, {"identifier": "U27", "position": [2, 5], "step": 41, "ordinal_position": 42}, {"identifier": "T41", "position": [3, 5], "step": 42, "ordinal_position": 43}, {"identifier": "C48", "position": [3, 4], "step": 43, "ordinal_position": 44}, {"identifier": "C57", "position": [3, 3], "step": 44, "ordinal_position": 45}, {"identifier": "M85", "position": [2, 3], "step": 45, "ordinal_position": 46}, {"identifier": "M29", "position": [1, 3], "step": 46, "ordinal_position": 47}, {"identifier": "C66", "position": [1, 2], "step": 47, "ordinal_position": 48}, {"identifier": "U33", "position": [1, 1], "step": 48, "ordinal_position": 49}, {"identifier": "O06", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "X47", "position": [3, 1], "step": 50, "ordinal_position": 51}, {"identifier": "D83", "position": [4, 1], "step": 51, "ordinal_position": 52}, {"identifier": "C81", "position": [5, 1], "step": 52, "ordinal_position": 53}, {"identifier": "W85", "position": [6, 1], "step": 53, "ordinal_position": 54}, {"identifier": "X75", "position": [7, 1], "step": 54, "ordinal_position": 55}, {"identifier": "C99", "position": [8, 1], "step": 55, "ordinal_position": 56}, {"identifier": "S56", "position": [9, 1], "step": 56, "ordinal_position": 57}, {"identifier": "C44", "position": [9, 2], "step": 57, "ordinal_position": 58}, {"identifier": "J99", "position": [9, 3], "step": 58, "ordinal_position": 59}, {"identifier": "V51", "position": [9, 4], "step": 59, "ordinal_position": 60}, {"identifier": "S38", "position": [9, 5], "step": 60, "ordinal_position": 61}, {"identifier": "S68", "position": [9, 6], "step": 61, "ordinal_position": 62}, {"identifier": "L05", "position": [9, 7], "step": 62, "ordinal_position": 63}, {"identifier": "O01", "position": [9, 8], "step": 63, "ordinal_position": 64}, {"identifier": "Y94", "position": [9, 9], "step": 64, "ordinal_position": 65}, {"identifier": "K17", "position": [8, 9], "step": 65, "ordinal_position": 66}, {"identifier": "R51", "position": [7, 9], "step": 66, "ordinal_position": 67}, {"identifier": "D35", "position": [6, 9], "step": 67, "ordinal_position": 68}, {"identifier": "O34", "position": [5, 9], "step": 68, "ordinal_position": 69}, {"identifier": "R27", "position": [4, 9], "step": 69, "ordinal_position": 70}, {"identifier": "T07", "position": [3, 9], "step": 70, "ordinal_position": 71}, {"identifier": "M27", "position": [2, 9], "step": 71, "ordinal_position": 72}, {"identifier": "X52", "position": [1, 9], "step": 72, "ordinal_position": 73}, {"identifier": "G75", "position": [1, 8], "step": 73, "ordinal_position": 74}, {"identifier": "H36", "position": [1, 7], "step": 74, "ordinal_position": 75}, {"identifier": "L79", "position": [1, 6], "step": 75, "ordinal_position": 76}, {"identifier": "U34", "position": [1, 5], "step": 76, "ordinal_position": 77}, {"identifier": "U27", "position": [2, 5], "step": 77, "ordinal_position": 78}, {"identifier": "T41", "position": [3, 5], "step": 78, "ordinal_position": 79}, {"identifier": "C48", "position": [3, 4], "step": 79, "ordinal_position": 80}, {"identifier": "C57", "position": [3, 3], "step": 80, "ordinal_position": 81}, {"identifier": "M85", "position": [2, 3], "step": 81, "ordinal_position": 82}, {"identifier": "M29", "position": [1, 3], "step": 82, "ordinal_position": 83}, {"identifier": "C66", "position": [1, 2], "step": 83, "ordinal_position": 84}, {"identifier": "U33", "position": [1, 1], "step": 84, "ordinal_position": 85}, {"identifier": "O06", "position": [2, 1], "step": 85, "ordinal_position": 86}, {"identifier": "X47", "position": [3, 1], "step": 86, "ordinal_position": 87}, {"identifier": "D83", "position": [4, 1], "step": 87, "ordinal_position": 88}, {"identifier": "C81", "position": [5, 1], "step": 88, "ordinal_position": 89}, {"identifier": "W85", "position": [6, 1], "step": 89, "ordinal_position": 90}, {"identifier": "X75", "position": [7, 1], "step": 90, "ordinal_position": 91}, {"identifier": "C99", "position": [8, 1], "step": 91, "ordinal_position": 92}, {"identifier": "S56", "position": [9, 1], "step": 92, "ordinal_position": 93}, {"identifier": "C44", "position": [9, 2], "step": 93, "ordinal_position": 94}, {"identifier": "J99", "position": [9, 3], "step": 94, "ordinal_position": 95}, {"identifier": "V51", "position": [9, 4], "step": 95, "ordinal_position": 96}, {"identifier": "S38", "position": [9, 5], "step": 96, "ordinal_position": 97}, {"identifier": "S68", "position": [9, 6], "step": 97, "ordinal_position": 98}, {"identifier": "L05", "position": [9, 7], "step": 98, "ordinal_position": 99}, {"identifier": "O01", "position": [9, 8], "step": 99, "ordinal_position": 100}, {"identifier": "Y94", "position": [9, 9], "step": 100, "ordinal_position": 101}, {"identifier": "K17", "position": [8, 9], "step": 101, "ordinal_position": 102}, {"identifier": "R51", "position": [7, 9], "step": 102, "ordinal_position": 103}, {"identifier": "D35", "position": [6, 9], "step": 103, "ordinal_position": 104}, {"identifier": "O34", "position": [5, 9], "step": 104, "ordinal_position": 105}, {"identifier": "R27", "position": [4, 9], "step": 105, "ordinal_position": 106}, {"identifier": "T07", "position": [3, 9], "step": 106, "ordinal_position": 107}, {"identifier": "M27", "position": [2, 9], "step": 107, "ordinal_position": 108}, {"identifier": "X52", "position": [1, 9], "step": 108, "ordinal_position": 109}, {"identifier": "G75", "position": [1, 8], "step": 109, "ordinal_position": 110}, {"identifier": "H36", "position": [1, 7], "step": 110, "ordinal_position": 111}, {"identifier": "L79", "position": [1, 6], "step": 111, "ordinal_position": 112}, {"identifier": "U34", "position": [1, 5], "step": 112, "ordinal_position": 113}, {"identifier": "U27", "position": [2, 5], "step": 113, "ordinal_position": 114}, {"identifier": "T41", "position": [3, 5], "step": 114, "ordinal_position": 115}, {"identifier": "C48", "position": [3, 4], "step": 115, "ordinal_position": 116}, {"identifier": "C57", "position": [3, 3], "step": 116, "ordinal_position": 117}, {"identifier": "M85", "position": [2, 3], "step": 117, "ordinal_position": 118}, {"identifier": "M29", "position": [1, 3], "step": 118, "ordinal_position": 119}, {"identifier": "C66", "position": [1, 2], "step": 119, "ordinal_position": 120}, {"identifier": "U33", "position": [1, 1], "step": 120, "ordinal_position": 121}, {"identifier": "O06", "position": [2, 1], "step": 121, "ordinal_position": 122}, {"identifier": "X47", "position": [3, 1], "step": 122, "ordinal_position": 123}, {"identifier": "D83", "position": [4, 1], "step": 123, "ordinal_position": 124}, {"identifier": "C81", "position": [5, 1], "step": 124, "ordinal_position": 125}, {"identifier": "W85", "position": [6, 1], "step": 125, "ordinal_position": 126}, {"identifier": "X75", "position": [7, 1], "step": 126, "ordinal_position": 127}, {"identifier": "C99", "position": [8, 1], "step": 127, "ordinal_position": 128}, {"identifier": "S56", "position": [9, 1], "step": 128, "ordinal_position": 129}, {"identifier": "C44", "position": [9, 2], "step": 129, "ordinal_position": 130}, {"identifier": "J99", "position": [9, 3], "step": 130, "ordinal_position": 131}, {"identifier": "V51", "position": [9, 4], "step": 131, "ordinal_position": 132}, {"identifier": "S38", "position": [9, 5], "step": 132, "ordinal_position": 133}, {"identifier": "S68", "position": [9, 6], "step": 133, "ordinal_position": 134}, {"identifier": "L05", "position": [9, 7], "step": 134, "ordinal_position": 135}, {"identifier": "O01", "position": [9, 8], "step": 135, "ordinal_position": 136}, {"identifier": "Y94", "position": [9, 9], "step": 136, "ordinal_position": 137}, {"identifier": "K17", "position": [8, 9], "step": 137, "ordinal_position": 138}, {"identifier": "R51", "position": [7, 9], "step": 138, "ordinal_position": 139}, {"identifier": "D35", "position": [6, 9], "step": 139, "ordinal_position": 140}, {"identifier": "O34", "position": [5, 9], "step": 140, "ordinal_position": 141}, {"identifier": "R27", "position": [4, 9], "step": 141, "ordinal_position": 142}, {"identifier": "T07", "position": [3, 9], "step": 142, "ordinal_position": 143}, {"identifier": "M27", "position": [2, 9], "step": 143, "ordinal_position": 144}, {"identifier": "X52", "position": [1, 9], "step": 144, "ordinal_position": 145}, {"identifier": "G75", "position": [1, 8], "step": 145, "ordinal_position": 146}, {"identifier": "H36", "position": [1, 7], "step": 146, "ordinal_position": 147}, {"identifier": "L79", "position": [1, 6], "step": 147, "ordinal_position": 148}, {"identifier": "U34", "position": [1, 5], "step": 148, "ordinal_position": 149}, {"identifier": "U27", "position": [2, 5], "step": 149, "ordinal_position": 150}, {"identifier": "T41", "position": [3, 5], "step": 150, "ordinal_position": 151}, {"identifier": "C48", "position": [3, 4], "step": 151, "ordinal_position": 152}, {"identifier": "C57", "position": [3, 3], "step": 152, "ordinal_position": 153}, {"identifier": "M85", "position": [2, 3], "step": 153, "ordinal_position": 154}, {"identifier": "M29", "position": [1, 3], "step": 154, "ordinal_position": 155}, {"identifier": "C66", "position": [1, 2], "step": 155, "ordinal_position": 156}, {"identifier": "U33", "position": [1, 1], "step": 156, "ordinal_position": 157}, {"identifier": "O06", "position": [2, 1], "step": 157, "ordinal_position": 158}, {"identifier": "X47", "position": [3, 1], "step": 158, "ordinal_position": 159}, {"identifier": "D83", "position": [4, 1], "step": 159, "ordinal_position": 160}, {"identifier": "C81", "position": [5, 1], "step": 160, "ordinal_position": 161}, {"identifier": "W85", "position": [6, 1], "step": 161, "ordinal_position": 162}, {"identifier": "X75", "position": [7, 1], "step": 162, "ordinal_position": 163}, {"identifier": "C99", "position": [8, 1], "step": 163, "ordinal_position": 164}, {"identifier": "S56", "position": [9, 1], "step": 164, "ordinal_position": 165}, {"identifier": "C44", "position": [9, 2], "step": 165, "ordinal_position": 166}, {"identifier": "J99", "position": [9, 3], "step": 166, "ordinal_position": 167}, {"identifier": "V51", "position": [9, 4], "step": 167, "ordinal_position": 168}, {"identifier": "S38", "position": [9, 5], "step": 168, "ordinal_position": 169}, {"identifier": "S68", "position": [9, 6], "step": 169, "ordinal_position": 170}, {"identifier": "L05", "position": [9, 7], "step": 170, "ordinal_position": 171}, {"identifier": "O01", "position": [9, 8], "step": 171, "ordinal_position": 172}, {"identifier": "Y94", "position": [9, 9], "step": 172, "ordinal_position": 173}, {"identifier": "K17", "position": [8, 9], "step": 173, "ordinal_position": 174}, {"identifier": "R51", "position": [7, 9], "step": 174, "ordinal_position": 175}, {"identifier": "D35", "position": [6, 9], "step": 175, "ordinal_position": 176}, {"identifier": "O34", "position": [5, 9], "step": 176, "ordinal_position": 177}, {"identifier": "R27", "position": [4, 9], "step": 177, "ordinal_position": 178}, {"identifier": "T07", "position": [3, 9], "step": 178, "ordinal_position": 179}, {"identifier": "M27", "position": [2, 9], "step": 179, "ordinal_position": 180}, {"identifier": "X52", "position": [1, 9], "step": 180, "ordinal_position": 181}, {"identifier": "G75", "position": [1, 8], "step": 181, "ordinal_position": 182}, {"identifier": "H36", "position": [1, 7], "step": 182, "ordinal_position": 183}, {"identifier": "L79", "position": [1, 6], "step": 183, "ordinal_position": 184}, {"identifier": "U34", "position": [1, 5], "step": 184, "ordinal_position": 185}, {"identifier": "U27", "position": [2, 5], "step": 185, "ordinal_position": 186}, {"identifier": "T41", "position": [3, 5], "step": 186, "ordinal_position": 187}, {"identifier": "C48", "position": [3, 4], "step": 187, "ordinal_position": 188}, {"identifier": "C57", "position": [3, 3], "step": 188, "ordinal_position": 189}, {"identifier": "M85", "position": [2, 3], "step": 189, "ordinal_position": 190}, {"identifier": "M29", "position": [1, 3], "step": 190, "ordinal_position": 191}, {"identifier": "C66", "position": [1, 2], "step": 191, "ordinal_position": 192}, {"identifier": "U33", "position": [1, 1], "step": 192, "ordinal_position": 193}, {"identifier": "O06", "position": [2, 1], "step": 193, "ordinal_position": 194}, {"identifier": "X47", "position": [3, 1], "step": 194, "ordinal_position": 195}, {"identifier": "D83", "position": [4, 1], "step": 195, "ordinal_position": 196}, {"identifier": "C81", "position": [5, 1], "step": 196, "ordinal_position": 197}, {"identifier": "W85", "position": [6, 1], "step": 197, "ordinal_position": 198}, {"identifier": "X75", "position": [7, 1], "step": 198, "ordinal_position": 199}, {"identifier": "C99", "position": [8, 1], "step": 199, "ordinal_position": 200}, {"identifier": "S56", "position": [9, 1], "step": 200, "ordinal_position": 201}, {"identifier": "C44", "position": [9, 2], "step": 201, "ordinal_position": 202}, {"identifier": "J99", "position": [9, 3], "step": 202, "ordinal_position": 203}, {"identifier": "V51", "position": [9, 4], "step": 203, "ordinal_position": 204}, {"identifier": "S38", "position": [9, 5], "step": 204, "ordinal_position": 205}, {"identifier": "S68", "position": [9, 6], "step": 205, "ordinal_position": 206}, {"identifier": "L05", "position": [9, 7], "step": 206, "ordinal_position": 207}, {"identifier": "O01", "position": [9, 8], "step": 207, "ordinal_position": 208}, {"identifier": "Y94", "position": [9, 9], "step": 208, "ordinal_position": 209}, {"identifier": "K17", "position": [8, 9], "step": 209, "ordinal_position": 210}, {"identifier": "R51", "position": [7, 9], "step": 210, "ordinal_position": 211}, {"identifier": "D35", "position": [6, 9], "step": 211, "ordinal_position": 212}, {"identifier": "O34", "position": [5, 9], "step": 212, "ordinal_position": 213}, {"identifier": "R27", "position": [4, 9], "step": 213, "ordinal_position": 214}, {"identifier": "T07", "position": [3, 9], "step": 214, "ordinal_position": 215}, {"identifier": "M27", "position": [2, 9], "step": 215, "ordinal_position": 216}, {"identifier": "X52", "position": [1, 9], "step": 216, "ordinal_position": 217}, {"identifier": "G75", "position": [1, 8], "step": 217, "ordinal_position": 218}, {"identifier": "H36", "position": [1, 7], "step": 218, "ordinal_position": 219}, {"identifier": "L79", "position": [1, 6], "step": 219, "ordinal_position": 220}, {"identifier": "U34", "position": [1, 5], "step": 220, "ordinal_position": 221}, {"identifier": "U27", "position": [2, 5], "step": 221, "ordinal_position": 222}, {"identifier": "T41", "position": [3, 5], "step": 222, "ordinal_position": 223}, {"identifier": "C48", "position": [3, 4], "step": 223, "ordinal_position": 224}, {"identifier": "C57", "position": [3, 3], "step": 224, "ordinal_position": 225}, {"identifier": "M85", "position": [2, 3], "step": 225, "ordinal_position": 226}, {"identifier": "M29", "position": [1, 3], "step": 226, "ordinal_position": 227}, {"identifier": "C66", "position": [1, 2], "step": 227, "ordinal_position": 228}, {"identifier": "U33", "position": [1, 1], "step": 228, "ordinal_position": 229}, {"identifier": "O06", "position": [2, 1], "step": 229, "ordinal_position": 230}, {"identifier": "X47", "position": [3, 1], "step": 230, "ordinal_position": 231}, {"identifier": "D83", "position": [4, 1], "step": 231, "ordinal_position": 232}, {"identifier": "C81", "position": [5, 1], "step": 232, "ordinal_position": 233}, {"identifier": "W85", "position": [6, 1], "step": 233, "ordinal_position": 234}, {"identifier": "X75", "position": [7, 1], "step": 234, "ordinal_position": 235}, {"identifier": "C99", "position": [8, 1], "step": 235, "ordinal_position": 236}, {"identifier": "S56", "position": [9, 1], "step": 236, "ordinal_position": 237}, {"identifier": "C44", "position": [9, 2], "step": 237, "ordinal_position": 238}, {"identifier": "J99", "position": [9, 3], "step": 238, "ordinal_position": 239}, {"identifier": "V51", "position": [9, 4], "step": 239, "ordinal_position": 240}, {"identifier": "S38", "position": [9, 5], "step": 240, "ordinal_position": 241}, {"identifier": "S68", "position": [9, 6], "step": 241, "ordinal_position": 242}, {"identifier": "L05", "position": [9, 7], "step": 242, "ordinal_position": 243}, {"identifier": "O01", "position": [9, 8], "step": 243, "ordinal_position": 244}, {"identifier": "Y94", "position": [9, 9], "step": 244, "ordinal_position": 245}, {"identifier": "K17", "position": [8, 9], "step": 245, "ordinal_position": 246}, {"identifier": "R51", "position": [7, 9], "step": 246, "ordinal_position": 247}, {"identifier": "D35", "position": [6, 9], "step": 247, "ordinal_position": 248}, {"identifier": "O34", "position": [5, 9], "step": 248, "ordinal_position": 249}, {"identifier": "R27", "position": [4, 9], "step": 249, "ordinal_position": 250}, {"identifier": "T07", "position": [3, 9], "step": 250, "ordinal_position": 251}, {"identifier": "M27", "position": [2, 9], "step": 251, "ordinal_position": 252}, {"identifier": "X52", "position": [1, 9], "step": 252, "ordinal_position": 253}, {"identifier": "G75", "position": [1, 8], "step": 253, "ordinal_position": 254}, {"identifier": "H36", "position": [1, 7], "step": 254, "ordinal_position": 255}, {"identifier": "L79", "position": [1, 6], "step": 255, "ordinal_position": 256}, {"identifier": "U34", "position": [1, 5], "step": 256, "ordinal_position": 257}, {"identifier": "U27", "position": [2, 5], "step": 257, "ordinal_position": 258}, {"identifier": "T41", "position": [3, 5], "step": 258, "ordinal_position": 259}, {"identifier": "C48", "position": [3, 4], "step": 259, "ordinal_position": 260}, {"identifier": "C57", "position": [3, 3], "step": 260, "ordinal_position": 261}, {"identifier": "M85", "position": [2, 3], "step": 261, "ordinal_position": 262}, {"identifier": "M29", "position": [1, 3], "step": 262, "ordinal_position": 263}, {"identifier": "C66", "position": [1, 2], "step": 263, "ordinal_position": 264}, {"identifier": "U33", "position": [1, 1], "step": 264, "ordinal_position": 265}, {"identifier": "O06", "position": [2, 1], "step": 265, "ordinal_position": 266}, {"identifier": "X47", "position": [3, 1], "step": 266, "ordinal_position": 267}, {"identifier": "D83", "position": [4, 1], "step": 267, "ordinal_position": 268}, {"identifier": "C81", "position": [5, 1], "step": 268, "ordinal_position": 269}, {"identifier": "W85", "position": [6, 1], "step": 269, "ordinal_position": 270}, {"identifier": "X75", "position": [7, 1], "step": 270, "ordinal_position": 271}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 271, "direction": "left", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_007.json"}} {"qa_id": "7f4a5b40f9df4f5bb5e6d3ae943a3206", "image_id": "L3-MazeLoop-test_11x11_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C99, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 185th position in this traversal?", "start_object_id": "C99", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [185], "ordinal_strings": ["185th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "M27", "traversal_path": [{"identifier": "C99", "position": [8, 1], "step": 0, "ordinal_position": 1}, {"identifier": "S56", "position": [9, 1], "step": 1, "ordinal_position": 2}, {"identifier": "C44", "position": [9, 2], "step": 2, "ordinal_position": 3}, {"identifier": "J99", "position": [9, 3], "step": 3, "ordinal_position": 4}, {"identifier": "V51", "position": [9, 4], "step": 4, "ordinal_position": 5}, {"identifier": "S38", "position": [9, 5], "step": 5, "ordinal_position": 6}, {"identifier": "S68", "position": [9, 6], "step": 6, "ordinal_position": 7}, {"identifier": "L05", "position": [9, 7], "step": 7, "ordinal_position": 8}, {"identifier": "O01", "position": [9, 8], "step": 8, "ordinal_position": 9}, {"identifier": "Y94", "position": [9, 9], "step": 9, "ordinal_position": 10}, {"identifier": "K17", "position": [8, 9], "step": 10, "ordinal_position": 11}, {"identifier": "R51", "position": [7, 9], "step": 11, "ordinal_position": 12}, {"identifier": "D35", "position": [6, 9], "step": 12, "ordinal_position": 13}, {"identifier": "O34", "position": [5, 9], "step": 13, "ordinal_position": 14}, {"identifier": "R27", "position": [4, 9], "step": 14, "ordinal_position": 15}, {"identifier": "T07", "position": [3, 9], "step": 15, "ordinal_position": 16}, {"identifier": "M27", "position": [2, 9], "step": 16, "ordinal_position": 17}, {"identifier": "X52", "position": [1, 9], "step": 17, "ordinal_position": 18}, {"identifier": "G75", "position": [1, 8], "step": 18, "ordinal_position": 19}, {"identifier": "H36", "position": [1, 7], "step": 19, "ordinal_position": 20}, {"identifier": "L79", "position": [1, 6], "step": 20, "ordinal_position": 21}, {"identifier": "U34", "position": [1, 5], "step": 21, "ordinal_position": 22}, {"identifier": "U27", "position": [2, 5], "step": 22, "ordinal_position": 23}, {"identifier": "T41", "position": [3, 5], "step": 23, "ordinal_position": 24}, {"identifier": "E83", "position": [3, 6], "step": 24, "ordinal_position": 25}, {"identifier": "R12", "position": [3, 7], "step": 25, "ordinal_position": 26}, {"identifier": "Y34", "position": [4, 7], "step": 26, "ordinal_position": 27}, {"identifier": "G22", "position": [5, 7], "step": 27, "ordinal_position": 28}, {"identifier": "O81", "position": [6, 7], "step": 28, "ordinal_position": 29}, {"identifier": "V77", "position": [7, 7], "step": 29, "ordinal_position": 30}, {"identifier": "Z35", "position": [7, 6], "step": 30, "ordinal_position": 31}, {"identifier": "D17", "position": [7, 5], "step": 31, "ordinal_position": 32}, {"identifier": "X11", "position": [8, 5], "step": 32, "ordinal_position": 33}, {"identifier": "S38", "position": [9, 5], "step": 33, "ordinal_position": 34}, {"identifier": "S68", "position": [9, 6], "step": 34, "ordinal_position": 35}, {"identifier": "L05", "position": [9, 7], "step": 35, "ordinal_position": 36}, {"identifier": "O01", "position": [9, 8], "step": 36, "ordinal_position": 37}, {"identifier": "Y94", "position": [9, 9], "step": 37, "ordinal_position": 38}, {"identifier": "K17", "position": [8, 9], "step": 38, "ordinal_position": 39}, {"identifier": "R51", "position": [7, 9], "step": 39, "ordinal_position": 40}, {"identifier": "D35", "position": [6, 9], "step": 40, "ordinal_position": 41}, {"identifier": "O34", "position": [5, 9], "step": 41, "ordinal_position": 42}, {"identifier": "R27", "position": [4, 9], "step": 42, "ordinal_position": 43}, {"identifier": "T07", "position": [3, 9], "step": 43, "ordinal_position": 44}, {"identifier": "M27", "position": [2, 9], "step": 44, "ordinal_position": 45}, {"identifier": "X52", "position": [1, 9], "step": 45, "ordinal_position": 46}, {"identifier": "G75", "position": [1, 8], "step": 46, "ordinal_position": 47}, {"identifier": "H36", "position": [1, 7], "step": 47, "ordinal_position": 48}, {"identifier": "L79", "position": [1, 6], "step": 48, "ordinal_position": 49}, {"identifier": "U34", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "U27", "position": [2, 5], "step": 50, "ordinal_position": 51}, {"identifier": "T41", "position": [3, 5], "step": 51, "ordinal_position": 52}, {"identifier": "E83", "position": [3, 6], "step": 52, "ordinal_position": 53}, {"identifier": "R12", "position": [3, 7], "step": 53, "ordinal_position": 54}, {"identifier": "Y34", "position": [4, 7], "step": 54, "ordinal_position": 55}, {"identifier": "G22", "position": [5, 7], "step": 55, "ordinal_position": 56}, {"identifier": "O81", "position": [6, 7], "step": 56, "ordinal_position": 57}, {"identifier": "V77", "position": [7, 7], "step": 57, "ordinal_position": 58}, {"identifier": "Z35", "position": [7, 6], "step": 58, "ordinal_position": 59}, {"identifier": "D17", "position": [7, 5], "step": 59, "ordinal_position": 60}, {"identifier": "X11", "position": [8, 5], "step": 60, "ordinal_position": 61}, {"identifier": "S38", "position": [9, 5], "step": 61, "ordinal_position": 62}, {"identifier": "S68", "position": [9, 6], "step": 62, "ordinal_position": 63}, {"identifier": "L05", "position": [9, 7], "step": 63, "ordinal_position": 64}, {"identifier": "O01", "position": [9, 8], "step": 64, "ordinal_position": 65}, {"identifier": "Y94", "position": [9, 9], "step": 65, "ordinal_position": 66}, {"identifier": "K17", "position": [8, 9], "step": 66, "ordinal_position": 67}, {"identifier": "R51", "position": [7, 9], "step": 67, "ordinal_position": 68}, {"identifier": "D35", "position": [6, 9], "step": 68, "ordinal_position": 69}, {"identifier": "O34", "position": [5, 9], "step": 69, "ordinal_position": 70}, {"identifier": "R27", "position": [4, 9], "step": 70, "ordinal_position": 71}, {"identifier": "T07", "position": [3, 9], "step": 71, "ordinal_position": 72}, {"identifier": "M27", "position": [2, 9], "step": 72, "ordinal_position": 73}, {"identifier": "X52", "position": [1, 9], "step": 73, "ordinal_position": 74}, {"identifier": "G75", "position": [1, 8], "step": 74, "ordinal_position": 75}, {"identifier": "H36", "position": [1, 7], "step": 75, "ordinal_position": 76}, {"identifier": "L79", "position": [1, 6], "step": 76, "ordinal_position": 77}, {"identifier": "U34", "position": [1, 5], "step": 77, "ordinal_position": 78}, {"identifier": "U27", "position": [2, 5], "step": 78, "ordinal_position": 79}, {"identifier": "T41", "position": [3, 5], "step": 79, "ordinal_position": 80}, {"identifier": "E83", "position": [3, 6], "step": 80, "ordinal_position": 81}, {"identifier": "R12", "position": [3, 7], "step": 81, "ordinal_position": 82}, {"identifier": "Y34", "position": [4, 7], "step": 82, "ordinal_position": 83}, {"identifier": "G22", "position": [5, 7], "step": 83, "ordinal_position": 84}, {"identifier": "O81", "position": [6, 7], "step": 84, "ordinal_position": 85}, {"identifier": "V77", "position": [7, 7], "step": 85, "ordinal_position": 86}, {"identifier": "Z35", "position": [7, 6], "step": 86, "ordinal_position": 87}, {"identifier": "D17", "position": [7, 5], "step": 87, "ordinal_position": 88}, {"identifier": "X11", "position": [8, 5], "step": 88, "ordinal_position": 89}, {"identifier": "S38", "position": [9, 5], "step": 89, "ordinal_position": 90}, {"identifier": "S68", "position": [9, 6], "step": 90, "ordinal_position": 91}, {"identifier": "L05", "position": [9, 7], "step": 91, "ordinal_position": 92}, {"identifier": "O01", "position": [9, 8], "step": 92, "ordinal_position": 93}, {"identifier": "Y94", "position": [9, 9], "step": 93, "ordinal_position": 94}, {"identifier": "K17", "position": [8, 9], "step": 94, "ordinal_position": 95}, {"identifier": "R51", "position": [7, 9], "step": 95, "ordinal_position": 96}, {"identifier": "D35", "position": [6, 9], "step": 96, "ordinal_position": 97}, {"identifier": "O34", "position": [5, 9], "step": 97, "ordinal_position": 98}, {"identifier": "R27", "position": [4, 9], "step": 98, "ordinal_position": 99}, {"identifier": "T07", "position": [3, 9], "step": 99, "ordinal_position": 100}, {"identifier": "M27", "position": [2, 9], "step": 100, "ordinal_position": 101}, {"identifier": "X52", "position": [1, 9], "step": 101, "ordinal_position": 102}, {"identifier": "G75", "position": [1, 8], "step": 102, "ordinal_position": 103}, {"identifier": "H36", "position": [1, 7], "step": 103, "ordinal_position": 104}, {"identifier": "L79", "position": [1, 6], "step": 104, "ordinal_position": 105}, {"identifier": "U34", "position": [1, 5], "step": 105, "ordinal_position": 106}, {"identifier": "U27", "position": [2, 5], "step": 106, "ordinal_position": 107}, {"identifier": "T41", "position": [3, 5], "step": 107, "ordinal_position": 108}, {"identifier": "E83", "position": [3, 6], "step": 108, "ordinal_position": 109}, {"identifier": "R12", "position": [3, 7], "step": 109, "ordinal_position": 110}, {"identifier": "Y34", "position": [4, 7], "step": 110, "ordinal_position": 111}, {"identifier": "G22", "position": [5, 7], "step": 111, "ordinal_position": 112}, {"identifier": "O81", "position": [6, 7], "step": 112, "ordinal_position": 113}, {"identifier": "V77", "position": [7, 7], "step": 113, "ordinal_position": 114}, {"identifier": "Z35", "position": [7, 6], "step": 114, "ordinal_position": 115}, {"identifier": "D17", "position": [7, 5], "step": 115, "ordinal_position": 116}, {"identifier": "X11", "position": [8, 5], "step": 116, "ordinal_position": 117}, {"identifier": "S38", "position": [9, 5], "step": 117, "ordinal_position": 118}, {"identifier": "S68", "position": [9, 6], "step": 118, "ordinal_position": 119}, {"identifier": "L05", "position": [9, 7], "step": 119, "ordinal_position": 120}, {"identifier": "O01", "position": [9, 8], "step": 120, "ordinal_position": 121}, {"identifier": "Y94", "position": [9, 9], "step": 121, "ordinal_position": 122}, {"identifier": "K17", "position": [8, 9], "step": 122, "ordinal_position": 123}, {"identifier": "R51", "position": [7, 9], "step": 123, "ordinal_position": 124}, {"identifier": "D35", "position": [6, 9], "step": 124, "ordinal_position": 125}, {"identifier": "O34", "position": [5, 9], "step": 125, "ordinal_position": 126}, {"identifier": "R27", "position": [4, 9], "step": 126, "ordinal_position": 127}, {"identifier": "T07", "position": [3, 9], "step": 127, "ordinal_position": 128}, {"identifier": "M27", "position": [2, 9], "step": 128, "ordinal_position": 129}, {"identifier": "X52", "position": [1, 9], "step": 129, "ordinal_position": 130}, {"identifier": "G75", "position": [1, 8], "step": 130, "ordinal_position": 131}, {"identifier": "H36", "position": [1, 7], "step": 131, "ordinal_position": 132}, {"identifier": "L79", "position": [1, 6], "step": 132, "ordinal_position": 133}, {"identifier": "U34", "position": [1, 5], "step": 133, "ordinal_position": 134}, {"identifier": "U27", "position": [2, 5], "step": 134, "ordinal_position": 135}, {"identifier": "T41", "position": [3, 5], "step": 135, "ordinal_position": 136}, {"identifier": "E83", "position": [3, 6], "step": 136, "ordinal_position": 137}, {"identifier": "R12", "position": [3, 7], "step": 137, "ordinal_position": 138}, {"identifier": "Y34", "position": [4, 7], "step": 138, "ordinal_position": 139}, {"identifier": "G22", "position": [5, 7], "step": 139, "ordinal_position": 140}, {"identifier": "O81", "position": [6, 7], "step": 140, "ordinal_position": 141}, {"identifier": "V77", "position": [7, 7], "step": 141, "ordinal_position": 142}, {"identifier": "Z35", "position": [7, 6], "step": 142, "ordinal_position": 143}, {"identifier": "D17", "position": [7, 5], "step": 143, "ordinal_position": 144}, {"identifier": "X11", "position": [8, 5], "step": 144, "ordinal_position": 145}, {"identifier": "S38", "position": [9, 5], "step": 145, "ordinal_position": 146}, {"identifier": "S68", "position": [9, 6], "step": 146, "ordinal_position": 147}, {"identifier": "L05", "position": [9, 7], "step": 147, "ordinal_position": 148}, {"identifier": "O01", "position": [9, 8], "step": 148, "ordinal_position": 149}, {"identifier": "Y94", "position": [9, 9], "step": 149, "ordinal_position": 150}, {"identifier": "K17", "position": [8, 9], "step": 150, "ordinal_position": 151}, {"identifier": "R51", "position": [7, 9], "step": 151, "ordinal_position": 152}, {"identifier": "D35", "position": [6, 9], "step": 152, "ordinal_position": 153}, {"identifier": "O34", "position": [5, 9], "step": 153, "ordinal_position": 154}, {"identifier": "R27", "position": [4, 9], "step": 154, "ordinal_position": 155}, {"identifier": "T07", "position": [3, 9], "step": 155, "ordinal_position": 156}, {"identifier": "M27", "position": [2, 9], "step": 156, "ordinal_position": 157}, {"identifier": "X52", "position": [1, 9], "step": 157, "ordinal_position": 158}, {"identifier": "G75", "position": [1, 8], "step": 158, "ordinal_position": 159}, {"identifier": "H36", "position": [1, 7], "step": 159, "ordinal_position": 160}, {"identifier": "L79", "position": [1, 6], "step": 160, "ordinal_position": 161}, {"identifier": "U34", "position": [1, 5], "step": 161, "ordinal_position": 162}, {"identifier": "U27", "position": [2, 5], "step": 162, "ordinal_position": 163}, {"identifier": "T41", "position": [3, 5], "step": 163, "ordinal_position": 164}, {"identifier": "E83", "position": [3, 6], "step": 164, "ordinal_position": 165}, {"identifier": "R12", "position": [3, 7], "step": 165, "ordinal_position": 166}, {"identifier": "Y34", "position": [4, 7], "step": 166, "ordinal_position": 167}, {"identifier": "G22", "position": [5, 7], "step": 167, "ordinal_position": 168}, {"identifier": "O81", "position": [6, 7], "step": 168, "ordinal_position": 169}, {"identifier": "V77", "position": [7, 7], "step": 169, "ordinal_position": 170}, {"identifier": "Z35", "position": [7, 6], "step": 170, "ordinal_position": 171}, {"identifier": "D17", "position": [7, 5], "step": 171, "ordinal_position": 172}, {"identifier": "X11", "position": [8, 5], "step": 172, "ordinal_position": 173}, {"identifier": "S38", "position": [9, 5], "step": 173, "ordinal_position": 174}, {"identifier": "S68", "position": [9, 6], "step": 174, "ordinal_position": 175}, {"identifier": "L05", "position": [9, 7], "step": 175, "ordinal_position": 176}, {"identifier": "O01", "position": [9, 8], "step": 176, "ordinal_position": 177}, {"identifier": "Y94", "position": [9, 9], "step": 177, "ordinal_position": 178}, {"identifier": "K17", "position": [8, 9], "step": 178, "ordinal_position": 179}, {"identifier": "R51", "position": [7, 9], "step": 179, "ordinal_position": 180}, {"identifier": "D35", "position": [6, 9], "step": 180, "ordinal_position": 181}, {"identifier": "O34", "position": [5, 9], "step": 181, "ordinal_position": 182}, {"identifier": "R27", "position": [4, 9], "step": 182, "ordinal_position": 183}, {"identifier": "T07", "position": [3, 9], "step": 183, "ordinal_position": 184}, {"identifier": "M27", "position": [2, 9], "step": 184, "ordinal_position": 185}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 185, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_007.json"}} {"qa_id": "ef388f8c70884042ad12553d34e9a0ec", "image_id": "L3-MazeLoop-test_11x11_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E83, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 102nd position in this traversal?", "start_object_id": "E83", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [102], "ordinal_strings": ["102nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "O34", "traversal_path": [{"identifier": "E83", "position": [3, 6], "step": 0, "ordinal_position": 1}, {"identifier": "R12", "position": [3, 7], "step": 1, "ordinal_position": 2}, {"identifier": "Y34", "position": [4, 7], "step": 2, "ordinal_position": 3}, {"identifier": "G22", "position": [5, 7], "step": 3, "ordinal_position": 4}, {"identifier": "O81", "position": [6, 7], "step": 4, "ordinal_position": 5}, {"identifier": "V77", "position": [7, 7], "step": 5, "ordinal_position": 6}, {"identifier": "Z35", "position": [7, 6], "step": 6, "ordinal_position": 7}, {"identifier": "D17", "position": [7, 5], "step": 7, "ordinal_position": 8}, {"identifier": "X11", "position": [8, 5], "step": 8, "ordinal_position": 9}, {"identifier": "S38", "position": [9, 5], "step": 9, "ordinal_position": 10}, {"identifier": "S68", "position": [9, 6], "step": 10, "ordinal_position": 11}, {"identifier": "L05", "position": [9, 7], "step": 11, "ordinal_position": 12}, {"identifier": "O01", "position": [9, 8], "step": 12, "ordinal_position": 13}, {"identifier": "Y94", "position": [9, 9], "step": 13, "ordinal_position": 14}, {"identifier": "K17", "position": [8, 9], "step": 14, "ordinal_position": 15}, {"identifier": "R51", "position": [7, 9], "step": 15, "ordinal_position": 16}, {"identifier": "D35", "position": [6, 9], "step": 16, "ordinal_position": 17}, {"identifier": "O34", "position": [5, 9], "step": 17, "ordinal_position": 18}, {"identifier": "R27", "position": [4, 9], "step": 18, "ordinal_position": 19}, {"identifier": "T07", "position": [3, 9], "step": 19, "ordinal_position": 20}, {"identifier": "M27", "position": [2, 9], "step": 20, "ordinal_position": 21}, {"identifier": "X52", "position": [1, 9], "step": 21, "ordinal_position": 22}, {"identifier": "G75", "position": [1, 8], "step": 22, "ordinal_position": 23}, {"identifier": "H36", "position": [1, 7], "step": 23, "ordinal_position": 24}, {"identifier": "L79", "position": [1, 6], "step": 24, "ordinal_position": 25}, {"identifier": "U34", "position": [1, 5], "step": 25, "ordinal_position": 26}, {"identifier": "U27", "position": [2, 5], "step": 26, "ordinal_position": 27}, {"identifier": "T41", "position": [3, 5], "step": 27, "ordinal_position": 28}, {"identifier": "E83", "position": [3, 6], "step": 28, "ordinal_position": 29}, {"identifier": "R12", "position": [3, 7], "step": 29, "ordinal_position": 30}, {"identifier": "Y34", "position": [4, 7], "step": 30, "ordinal_position": 31}, {"identifier": "G22", "position": [5, 7], "step": 31, "ordinal_position": 32}, {"identifier": "O81", "position": [6, 7], "step": 32, "ordinal_position": 33}, {"identifier": "V77", "position": [7, 7], "step": 33, "ordinal_position": 34}, {"identifier": "Z35", "position": [7, 6], "step": 34, "ordinal_position": 35}, {"identifier": "D17", "position": [7, 5], "step": 35, "ordinal_position": 36}, {"identifier": "X11", "position": [8, 5], "step": 36, "ordinal_position": 37}, {"identifier": "S38", "position": [9, 5], "step": 37, "ordinal_position": 38}, {"identifier": "S68", "position": [9, 6], "step": 38, "ordinal_position": 39}, {"identifier": "L05", "position": [9, 7], "step": 39, "ordinal_position": 40}, {"identifier": "O01", "position": [9, 8], "step": 40, "ordinal_position": 41}, {"identifier": "Y94", "position": [9, 9], "step": 41, "ordinal_position": 42}, {"identifier": "K17", "position": [8, 9], "step": 42, "ordinal_position": 43}, {"identifier": "R51", "position": [7, 9], "step": 43, "ordinal_position": 44}, {"identifier": "D35", "position": [6, 9], "step": 44, "ordinal_position": 45}, {"identifier": "O34", "position": [5, 9], "step": 45, "ordinal_position": 46}, {"identifier": "R27", "position": [4, 9], "step": 46, "ordinal_position": 47}, {"identifier": "T07", "position": [3, 9], "step": 47, "ordinal_position": 48}, {"identifier": "M27", "position": [2, 9], "step": 48, "ordinal_position": 49}, {"identifier": "X52", "position": [1, 9], "step": 49, "ordinal_position": 50}, {"identifier": "G75", "position": [1, 8], "step": 50, "ordinal_position": 51}, {"identifier": "H36", "position": [1, 7], "step": 51, "ordinal_position": 52}, {"identifier": "L79", "position": [1, 6], "step": 52, "ordinal_position": 53}, {"identifier": "U34", "position": [1, 5], "step": 53, "ordinal_position": 54}, {"identifier": "U27", "position": [2, 5], "step": 54, "ordinal_position": 55}, {"identifier": "T41", "position": [3, 5], "step": 55, "ordinal_position": 56}, {"identifier": "E83", "position": [3, 6], "step": 56, "ordinal_position": 57}, {"identifier": "R12", "position": [3, 7], "step": 57, "ordinal_position": 58}, {"identifier": "Y34", "position": [4, 7], "step": 58, "ordinal_position": 59}, {"identifier": "G22", "position": [5, 7], "step": 59, "ordinal_position": 60}, {"identifier": "O81", "position": [6, 7], "step": 60, "ordinal_position": 61}, {"identifier": "V77", "position": [7, 7], "step": 61, "ordinal_position": 62}, {"identifier": "Z35", "position": [7, 6], "step": 62, "ordinal_position": 63}, {"identifier": "D17", "position": [7, 5], "step": 63, "ordinal_position": 64}, {"identifier": "X11", "position": [8, 5], "step": 64, "ordinal_position": 65}, {"identifier": "S38", "position": [9, 5], "step": 65, "ordinal_position": 66}, {"identifier": "S68", "position": [9, 6], "step": 66, "ordinal_position": 67}, {"identifier": "L05", "position": [9, 7], "step": 67, "ordinal_position": 68}, {"identifier": "O01", "position": [9, 8], "step": 68, "ordinal_position": 69}, {"identifier": "Y94", "position": [9, 9], "step": 69, "ordinal_position": 70}, {"identifier": "K17", "position": [8, 9], "step": 70, "ordinal_position": 71}, {"identifier": "R51", "position": [7, 9], "step": 71, "ordinal_position": 72}, {"identifier": "D35", "position": [6, 9], "step": 72, "ordinal_position": 73}, {"identifier": "O34", "position": [5, 9], "step": 73, "ordinal_position": 74}, {"identifier": "R27", "position": [4, 9], "step": 74, "ordinal_position": 75}, {"identifier": "T07", "position": [3, 9], "step": 75, "ordinal_position": 76}, {"identifier": "M27", "position": [2, 9], "step": 76, "ordinal_position": 77}, {"identifier": "X52", "position": [1, 9], "step": 77, "ordinal_position": 78}, {"identifier": "G75", "position": [1, 8], "step": 78, "ordinal_position": 79}, {"identifier": "H36", "position": [1, 7], "step": 79, "ordinal_position": 80}, {"identifier": "L79", "position": [1, 6], "step": 80, "ordinal_position": 81}, {"identifier": "U34", "position": [1, 5], "step": 81, "ordinal_position": 82}, {"identifier": "U27", "position": [2, 5], "step": 82, "ordinal_position": 83}, {"identifier": "T41", "position": [3, 5], "step": 83, "ordinal_position": 84}, {"identifier": "E83", "position": [3, 6], "step": 84, "ordinal_position": 85}, {"identifier": "R12", "position": [3, 7], "step": 85, "ordinal_position": 86}, {"identifier": "Y34", "position": [4, 7], "step": 86, "ordinal_position": 87}, {"identifier": "G22", "position": [5, 7], "step": 87, "ordinal_position": 88}, {"identifier": "O81", "position": [6, 7], "step": 88, "ordinal_position": 89}, {"identifier": "V77", "position": [7, 7], "step": 89, "ordinal_position": 90}, {"identifier": "Z35", "position": [7, 6], "step": 90, "ordinal_position": 91}, {"identifier": "D17", "position": [7, 5], "step": 91, "ordinal_position": 92}, {"identifier": "X11", "position": [8, 5], "step": 92, "ordinal_position": 93}, {"identifier": "S38", "position": [9, 5], "step": 93, "ordinal_position": 94}, {"identifier": "S68", "position": [9, 6], "step": 94, "ordinal_position": 95}, {"identifier": "L05", "position": [9, 7], "step": 95, "ordinal_position": 96}, {"identifier": "O01", "position": [9, 8], "step": 96, "ordinal_position": 97}, {"identifier": "Y94", "position": [9, 9], "step": 97, "ordinal_position": 98}, {"identifier": "K17", "position": [8, 9], "step": 98, "ordinal_position": 99}, {"identifier": "R51", "position": [7, 9], "step": 99, "ordinal_position": 100}, {"identifier": "D35", "position": [6, 9], "step": 100, "ordinal_position": 101}, {"identifier": "O34", "position": [5, 9], "step": 101, "ordinal_position": 102}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 102, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_007.json"}} {"qa_id": "319420d1a9134c7a8d44c749472bd806", "image_id": "L3-MazeLoop-test_11x11_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B60, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 140th position in this traversal?", "start_object_id": "B60", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [140], "ordinal_strings": ["140th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "E83", "traversal_path": [{"identifier": "B60", "position": [5, 5], "step": 0, "ordinal_position": 1}, {"identifier": "N93", "position": [5, 6], "step": 1, "ordinal_position": 2}, {"identifier": "G22", "position": [5, 7], "step": 2, "ordinal_position": 3}, {"identifier": "O81", "position": [6, 7], "step": 3, "ordinal_position": 4}, {"identifier": "V77", "position": [7, 7], "step": 4, "ordinal_position": 5}, {"identifier": "Z35", "position": [7, 6], "step": 5, "ordinal_position": 6}, {"identifier": "D17", "position": [7, 5], "step": 6, "ordinal_position": 7}, {"identifier": "X11", "position": [8, 5], "step": 7, "ordinal_position": 8}, {"identifier": "S38", "position": [9, 5], "step": 8, "ordinal_position": 9}, {"identifier": "V51", "position": [9, 4], "step": 9, "ordinal_position": 10}, {"identifier": "J99", "position": [9, 3], "step": 10, "ordinal_position": 11}, {"identifier": "C44", "position": [9, 2], "step": 11, "ordinal_position": 12}, {"identifier": "S56", "position": [9, 1], "step": 12, "ordinal_position": 13}, {"identifier": "C99", "position": [8, 1], "step": 13, "ordinal_position": 14}, {"identifier": "X75", "position": [7, 1], "step": 14, "ordinal_position": 15}, {"identifier": "W85", "position": [6, 1], "step": 15, "ordinal_position": 16}, {"identifier": "C81", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "D83", "position": [4, 1], "step": 17, "ordinal_position": 18}, {"identifier": "X47", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "O06", "position": [2, 1], "step": 19, "ordinal_position": 20}, {"identifier": "U33", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "C66", "position": [1, 2], "step": 21, "ordinal_position": 22}, {"identifier": "M29", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "M85", "position": [2, 3], "step": 23, "ordinal_position": 24}, {"identifier": "C57", "position": [3, 3], "step": 24, "ordinal_position": 25}, {"identifier": "C48", "position": [3, 4], "step": 25, "ordinal_position": 26}, {"identifier": "T41", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "E83", "position": [3, 6], "step": 27, "ordinal_position": 28}, {"identifier": "R12", "position": [3, 7], "step": 28, "ordinal_position": 29}, {"identifier": "Y34", "position": [4, 7], "step": 29, "ordinal_position": 30}, {"identifier": "G22", "position": [5, 7], "step": 30, "ordinal_position": 31}, {"identifier": "O81", "position": [6, 7], "step": 31, "ordinal_position": 32}, {"identifier": "V77", "position": [7, 7], "step": 32, "ordinal_position": 33}, {"identifier": "Z35", "position": [7, 6], "step": 33, "ordinal_position": 34}, {"identifier": "D17", "position": [7, 5], "step": 34, "ordinal_position": 35}, {"identifier": "X11", "position": [8, 5], "step": 35, "ordinal_position": 36}, {"identifier": "S38", "position": [9, 5], "step": 36, "ordinal_position": 37}, {"identifier": "V51", "position": [9, 4], "step": 37, "ordinal_position": 38}, {"identifier": "J99", "position": [9, 3], "step": 38, "ordinal_position": 39}, {"identifier": "C44", "position": [9, 2], "step": 39, "ordinal_position": 40}, {"identifier": "S56", "position": [9, 1], "step": 40, "ordinal_position": 41}, {"identifier": "C99", "position": [8, 1], "step": 41, "ordinal_position": 42}, {"identifier": "X75", "position": [7, 1], "step": 42, "ordinal_position": 43}, {"identifier": "W85", "position": [6, 1], "step": 43, "ordinal_position": 44}, {"identifier": "C81", "position": [5, 1], "step": 44, "ordinal_position": 45}, {"identifier": "D83", "position": [4, 1], "step": 45, "ordinal_position": 46}, {"identifier": "X47", "position": [3, 1], "step": 46, "ordinal_position": 47}, {"identifier": "O06", "position": [2, 1], "step": 47, "ordinal_position": 48}, {"identifier": "U33", "position": [1, 1], "step": 48, "ordinal_position": 49}, {"identifier": "C66", "position": [1, 2], "step": 49, "ordinal_position": 50}, {"identifier": "M29", "position": [1, 3], "step": 50, "ordinal_position": 51}, {"identifier": "M85", "position": [2, 3], "step": 51, "ordinal_position": 52}, {"identifier": "C57", "position": [3, 3], "step": 52, "ordinal_position": 53}, {"identifier": "C48", "position": [3, 4], "step": 53, "ordinal_position": 54}, {"identifier": "T41", "position": [3, 5], "step": 54, "ordinal_position": 55}, {"identifier": "E83", "position": [3, 6], "step": 55, "ordinal_position": 56}, {"identifier": "R12", "position": [3, 7], "step": 56, "ordinal_position": 57}, {"identifier": "Y34", "position": [4, 7], "step": 57, "ordinal_position": 58}, {"identifier": "G22", "position": [5, 7], "step": 58, "ordinal_position": 59}, {"identifier": "O81", "position": [6, 7], "step": 59, "ordinal_position": 60}, {"identifier": "V77", "position": [7, 7], "step": 60, "ordinal_position": 61}, {"identifier": "Z35", "position": [7, 6], "step": 61, "ordinal_position": 62}, {"identifier": "D17", "position": [7, 5], "step": 62, "ordinal_position": 63}, {"identifier": "X11", "position": [8, 5], "step": 63, "ordinal_position": 64}, {"identifier": "S38", "position": [9, 5], "step": 64, "ordinal_position": 65}, {"identifier": "V51", "position": [9, 4], "step": 65, "ordinal_position": 66}, {"identifier": "J99", "position": [9, 3], "step": 66, "ordinal_position": 67}, {"identifier": "C44", "position": [9, 2], "step": 67, "ordinal_position": 68}, {"identifier": "S56", "position": [9, 1], "step": 68, "ordinal_position": 69}, {"identifier": "C99", "position": [8, 1], "step": 69, "ordinal_position": 70}, {"identifier": "X75", "position": [7, 1], "step": 70, "ordinal_position": 71}, {"identifier": "W85", "position": [6, 1], "step": 71, "ordinal_position": 72}, {"identifier": "C81", "position": [5, 1], "step": 72, "ordinal_position": 73}, {"identifier": "D83", "position": [4, 1], "step": 73, "ordinal_position": 74}, {"identifier": "X47", "position": [3, 1], "step": 74, "ordinal_position": 75}, {"identifier": "O06", "position": [2, 1], "step": 75, "ordinal_position": 76}, {"identifier": "U33", "position": [1, 1], "step": 76, "ordinal_position": 77}, {"identifier": "C66", "position": [1, 2], "step": 77, "ordinal_position": 78}, {"identifier": "M29", "position": [1, 3], "step": 78, "ordinal_position": 79}, {"identifier": "M85", "position": [2, 3], "step": 79, "ordinal_position": 80}, {"identifier": "C57", "position": [3, 3], "step": 80, "ordinal_position": 81}, {"identifier": "C48", "position": [3, 4], "step": 81, "ordinal_position": 82}, {"identifier": "T41", "position": [3, 5], "step": 82, "ordinal_position": 83}, {"identifier": "E83", "position": [3, 6], "step": 83, "ordinal_position": 84}, {"identifier": "R12", "position": [3, 7], "step": 84, "ordinal_position": 85}, {"identifier": "Y34", "position": [4, 7], "step": 85, "ordinal_position": 86}, {"identifier": "G22", "position": [5, 7], "step": 86, "ordinal_position": 87}, {"identifier": "O81", "position": [6, 7], "step": 87, "ordinal_position": 88}, {"identifier": "V77", "position": [7, 7], "step": 88, "ordinal_position": 89}, {"identifier": "Z35", "position": [7, 6], "step": 89, "ordinal_position": 90}, {"identifier": "D17", "position": [7, 5], "step": 90, "ordinal_position": 91}, {"identifier": "X11", "position": [8, 5], "step": 91, "ordinal_position": 92}, {"identifier": "S38", "position": [9, 5], "step": 92, "ordinal_position": 93}, {"identifier": "V51", "position": [9, 4], "step": 93, "ordinal_position": 94}, {"identifier": "J99", "position": [9, 3], "step": 94, "ordinal_position": 95}, {"identifier": "C44", "position": [9, 2], "step": 95, "ordinal_position": 96}, {"identifier": "S56", "position": [9, 1], "step": 96, "ordinal_position": 97}, {"identifier": "C99", "position": [8, 1], "step": 97, "ordinal_position": 98}, {"identifier": "X75", "position": [7, 1], "step": 98, "ordinal_position": 99}, {"identifier": "W85", "position": [6, 1], "step": 99, "ordinal_position": 100}, {"identifier": "C81", "position": [5, 1], "step": 100, "ordinal_position": 101}, {"identifier": "D83", "position": [4, 1], "step": 101, "ordinal_position": 102}, {"identifier": "X47", "position": [3, 1], "step": 102, "ordinal_position": 103}, {"identifier": "O06", "position": [2, 1], "step": 103, "ordinal_position": 104}, {"identifier": "U33", "position": [1, 1], "step": 104, "ordinal_position": 105}, {"identifier": "C66", "position": [1, 2], "step": 105, "ordinal_position": 106}, {"identifier": "M29", "position": [1, 3], "step": 106, "ordinal_position": 107}, {"identifier": "M85", "position": [2, 3], "step": 107, "ordinal_position": 108}, {"identifier": "C57", "position": [3, 3], "step": 108, "ordinal_position": 109}, {"identifier": "C48", "position": [3, 4], "step": 109, "ordinal_position": 110}, {"identifier": "T41", "position": [3, 5], "step": 110, "ordinal_position": 111}, {"identifier": "E83", "position": [3, 6], "step": 111, "ordinal_position": 112}, {"identifier": "R12", "position": [3, 7], "step": 112, "ordinal_position": 113}, {"identifier": "Y34", "position": [4, 7], "step": 113, "ordinal_position": 114}, {"identifier": "G22", "position": [5, 7], "step": 114, "ordinal_position": 115}, {"identifier": "O81", "position": [6, 7], "step": 115, "ordinal_position": 116}, {"identifier": "V77", "position": [7, 7], "step": 116, "ordinal_position": 117}, {"identifier": "Z35", "position": [7, 6], "step": 117, "ordinal_position": 118}, {"identifier": "D17", "position": [7, 5], "step": 118, "ordinal_position": 119}, {"identifier": "X11", "position": [8, 5], "step": 119, "ordinal_position": 120}, {"identifier": "S38", "position": [9, 5], "step": 120, "ordinal_position": 121}, {"identifier": "V51", "position": [9, 4], "step": 121, "ordinal_position": 122}, {"identifier": "J99", "position": [9, 3], "step": 122, "ordinal_position": 123}, {"identifier": "C44", "position": [9, 2], "step": 123, "ordinal_position": 124}, {"identifier": "S56", "position": [9, 1], "step": 124, "ordinal_position": 125}, {"identifier": "C99", "position": [8, 1], "step": 125, "ordinal_position": 126}, {"identifier": "X75", "position": [7, 1], "step": 126, "ordinal_position": 127}, {"identifier": "W85", "position": [6, 1], "step": 127, "ordinal_position": 128}, {"identifier": "C81", "position": [5, 1], "step": 128, "ordinal_position": 129}, {"identifier": "D83", "position": [4, 1], "step": 129, "ordinal_position": 130}, {"identifier": "X47", "position": [3, 1], "step": 130, "ordinal_position": 131}, {"identifier": "O06", "position": [2, 1], "step": 131, "ordinal_position": 132}, {"identifier": "U33", "position": [1, 1], "step": 132, "ordinal_position": 133}, {"identifier": "C66", "position": [1, 2], "step": 133, "ordinal_position": 134}, {"identifier": "M29", "position": [1, 3], "step": 134, "ordinal_position": 135}, {"identifier": "M85", "position": [2, 3], "step": 135, "ordinal_position": 136}, {"identifier": "C57", "position": [3, 3], "step": 136, "ordinal_position": 137}, {"identifier": "C48", "position": [3, 4], "step": 137, "ordinal_position": 138}, {"identifier": "T41", "position": [3, 5], "step": 138, "ordinal_position": 139}, {"identifier": "E83", "position": [3, 6], "step": 139, "ordinal_position": 140}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 140, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_007.json"}} {"qa_id": "c3832d1fc62e4163b7eee7ea71d4dc7d", "image_id": "L3-MazeLoop-test_11x11_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J00, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "J00", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U26", "traversal_path": [{"identifier": "J00", "position": [3, 7], "step": 0, "ordinal_position": 1}, {"identifier": "O57", "position": [3, 8], "step": 1, "ordinal_position": 2}, {"identifier": "L64", "position": [3, 9], "step": 2, "ordinal_position": 3}, {"identifier": "U26", "position": [2, 9], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 4, "direction": "down", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_008.json"}} {"qa_id": "0f26867e0e504678940f42b119a5ac79", "image_id": "L3-MazeLoop-test_11x11_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O57, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "O57", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "M64", "traversal_path": [{"identifier": "O57", "position": [3, 8], "step": 0, "ordinal_position": 1}, {"identifier": "L64", "position": [3, 9], "step": 1, "ordinal_position": 2}, {"identifier": "U26", "position": [2, 9], "step": 2, "ordinal_position": 3}, {"identifier": "O09", "position": [1, 9], "step": 3, "ordinal_position": 4}, {"identifier": "J98", "position": [1, 8], "step": 4, "ordinal_position": 5}, {"identifier": "M64", "position": [1, 7], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 6, "direction": "down", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_008.json"}} {"qa_id": "4d100c3fcae5443d8007ed99d8cc1713", "image_id": "L3-MazeLoop-test_11x11_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U26, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "U26", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "G48", "traversal_path": [{"identifier": "U26", "position": [2, 9], "step": 0, "ordinal_position": 1}, {"identifier": "L64", "position": [3, 9], "step": 1, "ordinal_position": 2}, {"identifier": "O57", "position": [3, 8], "step": 2, "ordinal_position": 3}, {"identifier": "J00", "position": [3, 7], "step": 3, "ordinal_position": 4}, {"identifier": "U78", "position": [4, 7], "step": 4, "ordinal_position": 5}, {"identifier": "X71", "position": [5, 7], "step": 5, "ordinal_position": 6}, {"identifier": "G48", "position": [5, 8], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 7, "direction": "right", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_008.json"}} {"qa_id": "03edd958b6164544b97440802ba550cd", "image_id": "L3-MazeLoop-test_11x11_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O05, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "O05", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "J00", "traversal_path": [{"identifier": "O05", "position": [7, 9], "step": 0, "ordinal_position": 1}, {"identifier": "Q23", "position": [6, 9], "step": 1, "ordinal_position": 2}, {"identifier": "A48", "position": [5, 9], "step": 2, "ordinal_position": 3}, {"identifier": "G48", "position": [5, 8], "step": 3, "ordinal_position": 4}, {"identifier": "X71", "position": [5, 7], "step": 4, "ordinal_position": 5}, {"identifier": "U78", "position": [4, 7], "step": 5, "ordinal_position": 6}, {"identifier": "J00", "position": [3, 7], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 7, "direction": "left", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_008.json"}} {"qa_id": "a18c98ee03784167ad8456400c11a027", "image_id": "L3-MazeLoop-test_11x11_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P43, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "P43", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "K43", "traversal_path": [{"identifier": "P43", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "M28", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "E77", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "U62", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "M22", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "G58", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "C92", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "K43", "position": [2, 1], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 8, "direction": "left", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_008.json"}} {"qa_id": "7817da6c547d4b70844e1c149cca570c", "image_id": "L3-MazeLoop-test_11x11_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M22, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 25th position in this traversal?", "start_object_id": "M22", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [25], "ordinal_strings": ["25th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "O05", "traversal_path": [{"identifier": "M22", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "G58", "position": [1, 2], "step": 1, "ordinal_position": 2}, {"identifier": "C92", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "K43", "position": [2, 1], "step": 3, "ordinal_position": 4}, {"identifier": "G80", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "H94", "position": [3, 2], "step": 5, "ordinal_position": 6}, {"identifier": "H17", "position": [3, 3], "step": 6, "ordinal_position": 7}, {"identifier": "V65", "position": [4, 3], "step": 7, "ordinal_position": 8}, {"identifier": "M85", "position": [5, 3], "step": 8, "ordinal_position": 9}, {"identifier": "D99", "position": [5, 2], "step": 9, "ordinal_position": 10}, {"identifier": "I09", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "S23", "position": [6, 1], "step": 11, "ordinal_position": 12}, {"identifier": "E76", "position": [7, 1], "step": 12, "ordinal_position": 13}, {"identifier": "S68", "position": [8, 1], "step": 13, "ordinal_position": 14}, {"identifier": "W32", "position": [9, 1], "step": 14, "ordinal_position": 15}, {"identifier": "I26", "position": [9, 2], "step": 15, "ordinal_position": 16}, {"identifier": "W82", "position": [9, 3], "step": 16, "ordinal_position": 17}, {"identifier": "U88", "position": [9, 4], "step": 17, "ordinal_position": 18}, {"identifier": "B37", "position": [9, 5], "step": 18, "ordinal_position": 19}, {"identifier": "U01", "position": [9, 6], "step": 19, "ordinal_position": 20}, {"identifier": "R45", "position": [9, 7], "step": 20, "ordinal_position": 21}, {"identifier": "B04", "position": [9, 8], "step": 21, "ordinal_position": 22}, {"identifier": "X93", "position": [9, 9], "step": 22, "ordinal_position": 23}, {"identifier": "F52", "position": [8, 9], "step": 23, "ordinal_position": 24}, {"identifier": "O05", "position": [7, 9], "step": 24, "ordinal_position": 25}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 25, "direction": "up", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_008.json"}} {"qa_id": "b7bf27265cc146a59092527ea6a9faee", "image_id": "L3-MazeLoop-test_11x11_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J98, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 59th position in this traversal?", "start_object_id": "J98", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [59], "ordinal_strings": ["59th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "S68", "traversal_path": [{"identifier": "J98", "position": [1, 8], "step": 0, "ordinal_position": 1}, {"identifier": "O09", "position": [1, 9], "step": 1, "ordinal_position": 2}, {"identifier": "U26", "position": [2, 9], "step": 2, "ordinal_position": 3}, {"identifier": "L64", "position": [3, 9], "step": 3, "ordinal_position": 4}, {"identifier": "O57", "position": [3, 8], "step": 4, "ordinal_position": 5}, {"identifier": "J00", "position": [3, 7], "step": 5, "ordinal_position": 6}, {"identifier": "U78", "position": [4, 7], "step": 6, "ordinal_position": 7}, {"identifier": "X71", "position": [5, 7], "step": 7, "ordinal_position": 8}, {"identifier": "G48", "position": [5, 8], "step": 8, "ordinal_position": 9}, {"identifier": "A48", "position": [5, 9], "step": 9, "ordinal_position": 10}, {"identifier": "Q23", "position": [6, 9], "step": 10, "ordinal_position": 11}, {"identifier": "O05", "position": [7, 9], "step": 11, "ordinal_position": 12}, {"identifier": "F52", "position": [8, 9], "step": 12, "ordinal_position": 13}, {"identifier": "X93", "position": [9, 9], "step": 13, "ordinal_position": 14}, {"identifier": "B04", "position": [9, 8], "step": 14, "ordinal_position": 15}, {"identifier": "R45", "position": [9, 7], "step": 15, "ordinal_position": 16}, {"identifier": "U01", "position": [9, 6], "step": 16, "ordinal_position": 17}, {"identifier": "B37", "position": [9, 5], "step": 17, "ordinal_position": 18}, {"identifier": "U88", "position": [9, 4], "step": 18, "ordinal_position": 19}, {"identifier": "W82", "position": [9, 3], "step": 19, "ordinal_position": 20}, {"identifier": "I26", "position": [9, 2], "step": 20, "ordinal_position": 21}, {"identifier": "W32", "position": [9, 1], "step": 21, "ordinal_position": 22}, {"identifier": "S68", "position": [8, 1], "step": 22, "ordinal_position": 23}, {"identifier": "E76", "position": [7, 1], "step": 23, "ordinal_position": 24}, {"identifier": "S23", "position": [6, 1], "step": 24, "ordinal_position": 25}, {"identifier": "I09", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "D99", "position": [5, 2], "step": 26, "ordinal_position": 27}, {"identifier": "M85", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "V65", "position": [4, 3], "step": 28, "ordinal_position": 29}, {"identifier": "H17", "position": [3, 3], "step": 29, "ordinal_position": 30}, {"identifier": "A54", "position": [2, 3], "step": 30, "ordinal_position": 31}, {"identifier": "M22", "position": [1, 3], "step": 31, "ordinal_position": 32}, {"identifier": "U62", "position": [1, 4], "step": 32, "ordinal_position": 33}, {"identifier": "E77", "position": [1, 5], "step": 33, "ordinal_position": 34}, {"identifier": "R07", "position": [1, 6], "step": 34, "ordinal_position": 35}, {"identifier": "M64", "position": [1, 7], "step": 35, "ordinal_position": 36}, {"identifier": "J98", "position": [1, 8], "step": 36, "ordinal_position": 37}, {"identifier": "O09", "position": [1, 9], "step": 37, "ordinal_position": 38}, {"identifier": "U26", "position": [2, 9], "step": 38, "ordinal_position": 39}, {"identifier": "L64", "position": [3, 9], "step": 39, "ordinal_position": 40}, {"identifier": "O57", "position": [3, 8], "step": 40, "ordinal_position": 41}, {"identifier": "J00", "position": [3, 7], "step": 41, "ordinal_position": 42}, {"identifier": "U78", "position": [4, 7], "step": 42, "ordinal_position": 43}, {"identifier": "X71", "position": [5, 7], "step": 43, "ordinal_position": 44}, {"identifier": "G48", "position": [5, 8], "step": 44, "ordinal_position": 45}, {"identifier": "A48", "position": [5, 9], "step": 45, "ordinal_position": 46}, {"identifier": "Q23", "position": [6, 9], "step": 46, "ordinal_position": 47}, {"identifier": "O05", "position": [7, 9], "step": 47, "ordinal_position": 48}, {"identifier": "F52", "position": [8, 9], "step": 48, "ordinal_position": 49}, {"identifier": "X93", "position": [9, 9], "step": 49, "ordinal_position": 50}, {"identifier": "B04", "position": [9, 8], "step": 50, "ordinal_position": 51}, {"identifier": "R45", "position": [9, 7], "step": 51, "ordinal_position": 52}, {"identifier": "U01", "position": [9, 6], "step": 52, "ordinal_position": 53}, {"identifier": "B37", "position": [9, 5], "step": 53, "ordinal_position": 54}, {"identifier": "U88", "position": [9, 4], "step": 54, "ordinal_position": 55}, {"identifier": "W82", "position": [9, 3], "step": 55, "ordinal_position": 56}, {"identifier": "I26", "position": [9, 2], "step": 56, "ordinal_position": 57}, {"identifier": "W32", "position": [9, 1], "step": 57, "ordinal_position": 58}, {"identifier": "S68", "position": [8, 1], "step": 58, "ordinal_position": 59}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 59, "direction": "down", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_008.json"}} {"qa_id": "00d7728b411845c9bfb13d5d004b2107", "image_id": "L3-MazeLoop-test_11x11_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M64, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 99th position in this traversal?", "start_object_id": "M64", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [99], "ordinal_strings": ["99th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "I09", "traversal_path": [{"identifier": "M64", "position": [1, 7], "step": 0, "ordinal_position": 1}, {"identifier": "J98", "position": [1, 8], "step": 1, "ordinal_position": 2}, {"identifier": "O09", "position": [1, 9], "step": 2, "ordinal_position": 3}, {"identifier": "U26", "position": [2, 9], "step": 3, "ordinal_position": 4}, {"identifier": "L64", "position": [3, 9], "step": 4, "ordinal_position": 5}, {"identifier": "O57", "position": [3, 8], "step": 5, "ordinal_position": 6}, {"identifier": "J00", "position": [3, 7], "step": 6, "ordinal_position": 7}, {"identifier": "U78", "position": [4, 7], "step": 7, "ordinal_position": 8}, {"identifier": "X71", "position": [5, 7], "step": 8, "ordinal_position": 9}, {"identifier": "G48", "position": [5, 8], "step": 9, "ordinal_position": 10}, {"identifier": "A48", "position": [5, 9], "step": 10, "ordinal_position": 11}, {"identifier": "Q23", "position": [6, 9], "step": 11, "ordinal_position": 12}, {"identifier": "O05", "position": [7, 9], "step": 12, "ordinal_position": 13}, {"identifier": "F52", "position": [8, 9], "step": 13, "ordinal_position": 14}, {"identifier": "X93", "position": [9, 9], "step": 14, "ordinal_position": 15}, {"identifier": "B04", "position": [9, 8], "step": 15, "ordinal_position": 16}, {"identifier": "R45", "position": [9, 7], "step": 16, "ordinal_position": 17}, {"identifier": "U01", "position": [9, 6], "step": 17, "ordinal_position": 18}, {"identifier": "B37", "position": [9, 5], "step": 18, "ordinal_position": 19}, {"identifier": "U88", "position": [9, 4], "step": 19, "ordinal_position": 20}, {"identifier": "W82", "position": [9, 3], "step": 20, "ordinal_position": 21}, {"identifier": "I26", "position": [9, 2], "step": 21, "ordinal_position": 22}, {"identifier": "W32", "position": [9, 1], "step": 22, "ordinal_position": 23}, {"identifier": "S68", "position": [8, 1], "step": 23, "ordinal_position": 24}, {"identifier": "E76", "position": [7, 1], "step": 24, "ordinal_position": 25}, {"identifier": "S23", "position": [6, 1], "step": 25, "ordinal_position": 26}, {"identifier": "I09", "position": [5, 1], "step": 26, "ordinal_position": 27}, {"identifier": "D99", "position": [5, 2], "step": 27, "ordinal_position": 28}, {"identifier": "M85", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "V65", "position": [4, 3], "step": 29, "ordinal_position": 30}, {"identifier": "H17", "position": [3, 3], "step": 30, "ordinal_position": 31}, {"identifier": "A54", "position": [2, 3], "step": 31, "ordinal_position": 32}, {"identifier": "M22", "position": [1, 3], "step": 32, "ordinal_position": 33}, {"identifier": "U62", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "E77", "position": [1, 5], "step": 34, "ordinal_position": 35}, {"identifier": "R07", "position": [1, 6], "step": 35, "ordinal_position": 36}, {"identifier": "M64", "position": [1, 7], "step": 36, "ordinal_position": 37}, {"identifier": "J98", "position": [1, 8], "step": 37, "ordinal_position": 38}, {"identifier": "O09", "position": [1, 9], "step": 38, "ordinal_position": 39}, {"identifier": "U26", "position": [2, 9], "step": 39, "ordinal_position": 40}, {"identifier": "L64", "position": [3, 9], "step": 40, "ordinal_position": 41}, {"identifier": "O57", "position": [3, 8], "step": 41, "ordinal_position": 42}, {"identifier": "J00", "position": [3, 7], "step": 42, "ordinal_position": 43}, {"identifier": "U78", "position": [4, 7], "step": 43, "ordinal_position": 44}, {"identifier": "X71", "position": [5, 7], "step": 44, "ordinal_position": 45}, {"identifier": "G48", "position": [5, 8], "step": 45, "ordinal_position": 46}, {"identifier": "A48", "position": [5, 9], "step": 46, "ordinal_position": 47}, {"identifier": "Q23", "position": [6, 9], "step": 47, "ordinal_position": 48}, {"identifier": "O05", "position": [7, 9], "step": 48, "ordinal_position": 49}, {"identifier": "F52", "position": [8, 9], "step": 49, "ordinal_position": 50}, {"identifier": "X93", "position": [9, 9], "step": 50, "ordinal_position": 51}, {"identifier": "B04", "position": [9, 8], "step": 51, "ordinal_position": 52}, {"identifier": "R45", "position": [9, 7], "step": 52, "ordinal_position": 53}, {"identifier": "U01", "position": [9, 6], "step": 53, "ordinal_position": 54}, {"identifier": "B37", "position": [9, 5], "step": 54, "ordinal_position": 55}, {"identifier": "U88", "position": [9, 4], "step": 55, "ordinal_position": 56}, {"identifier": "W82", "position": [9, 3], "step": 56, "ordinal_position": 57}, {"identifier": "I26", "position": [9, 2], "step": 57, "ordinal_position": 58}, {"identifier": "W32", "position": [9, 1], "step": 58, "ordinal_position": 59}, {"identifier": "S68", "position": [8, 1], "step": 59, "ordinal_position": 60}, {"identifier": "E76", "position": [7, 1], "step": 60, "ordinal_position": 61}, {"identifier": "S23", "position": [6, 1], "step": 61, "ordinal_position": 62}, {"identifier": "I09", "position": [5, 1], "step": 62, "ordinal_position": 63}, {"identifier": "D99", "position": [5, 2], "step": 63, "ordinal_position": 64}, {"identifier": "M85", "position": [5, 3], "step": 64, "ordinal_position": 65}, {"identifier": "V65", "position": [4, 3], "step": 65, "ordinal_position": 66}, {"identifier": "H17", "position": [3, 3], "step": 66, "ordinal_position": 67}, {"identifier": "A54", "position": [2, 3], "step": 67, "ordinal_position": 68}, {"identifier": "M22", "position": [1, 3], "step": 68, "ordinal_position": 69}, {"identifier": "U62", "position": [1, 4], "step": 69, "ordinal_position": 70}, {"identifier": "E77", "position": [1, 5], "step": 70, "ordinal_position": 71}, {"identifier": "R07", "position": [1, 6], "step": 71, "ordinal_position": 72}, {"identifier": "M64", "position": [1, 7], "step": 72, "ordinal_position": 73}, {"identifier": "J98", "position": [1, 8], "step": 73, "ordinal_position": 74}, {"identifier": "O09", "position": [1, 9], "step": 74, "ordinal_position": 75}, {"identifier": "U26", "position": [2, 9], "step": 75, "ordinal_position": 76}, {"identifier": "L64", "position": [3, 9], "step": 76, "ordinal_position": 77}, {"identifier": "O57", "position": [3, 8], "step": 77, "ordinal_position": 78}, {"identifier": "J00", "position": [3, 7], "step": 78, "ordinal_position": 79}, {"identifier": "U78", "position": [4, 7], "step": 79, "ordinal_position": 80}, {"identifier": "X71", "position": [5, 7], "step": 80, "ordinal_position": 81}, {"identifier": "G48", "position": [5, 8], "step": 81, "ordinal_position": 82}, {"identifier": "A48", "position": [5, 9], "step": 82, "ordinal_position": 83}, {"identifier": "Q23", "position": [6, 9], "step": 83, "ordinal_position": 84}, {"identifier": "O05", "position": [7, 9], "step": 84, "ordinal_position": 85}, {"identifier": "F52", "position": [8, 9], "step": 85, "ordinal_position": 86}, {"identifier": "X93", "position": [9, 9], "step": 86, "ordinal_position": 87}, {"identifier": "B04", "position": [9, 8], "step": 87, "ordinal_position": 88}, {"identifier": "R45", "position": [9, 7], "step": 88, "ordinal_position": 89}, {"identifier": "U01", "position": [9, 6], "step": 89, "ordinal_position": 90}, {"identifier": "B37", "position": [9, 5], "step": 90, "ordinal_position": 91}, {"identifier": "U88", "position": [9, 4], "step": 91, "ordinal_position": 92}, {"identifier": "W82", "position": [9, 3], "step": 92, "ordinal_position": 93}, {"identifier": "I26", "position": [9, 2], "step": 93, "ordinal_position": 94}, {"identifier": "W32", "position": [9, 1], "step": 94, "ordinal_position": 95}, {"identifier": "S68", "position": [8, 1], "step": 95, "ordinal_position": 96}, {"identifier": "E76", "position": [7, 1], "step": 96, "ordinal_position": 97}, {"identifier": "S23", "position": [6, 1], "step": 97, "ordinal_position": 98}, {"identifier": "I09", "position": [5, 1], "step": 98, "ordinal_position": 99}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 99, "direction": "down", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_008.json"}} {"qa_id": "34ca4e19c00f4d7787220c0492726b7b", "image_id": "L3-MazeLoop-test_11x11_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G80, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 17th position in this traversal?", "start_object_id": "G80", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [17], "ordinal_strings": ["17th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "R45", "traversal_path": [{"identifier": "G80", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "H94", "position": [3, 2], "step": 1, "ordinal_position": 2}, {"identifier": "H17", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "V65", "position": [4, 3], "step": 3, "ordinal_position": 4}, {"identifier": "M85", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "D99", "position": [5, 2], "step": 5, "ordinal_position": 6}, {"identifier": "I09", "position": [5, 1], "step": 6, "ordinal_position": 7}, {"identifier": "S23", "position": [6, 1], "step": 7, "ordinal_position": 8}, {"identifier": "E76", "position": [7, 1], "step": 8, "ordinal_position": 9}, {"identifier": "S68", "position": [8, 1], "step": 9, "ordinal_position": 10}, {"identifier": "W32", "position": [9, 1], "step": 10, "ordinal_position": 11}, {"identifier": "I26", "position": [9, 2], "step": 11, "ordinal_position": 12}, {"identifier": "W82", "position": [9, 3], "step": 12, "ordinal_position": 13}, {"identifier": "U88", "position": [9, 4], "step": 13, "ordinal_position": 14}, {"identifier": "B37", "position": [9, 5], "step": 14, "ordinal_position": 15}, {"identifier": "U01", "position": [9, 6], "step": 15, "ordinal_position": 16}, {"identifier": "R45", "position": [9, 7], "step": 16, "ordinal_position": 17}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 17, "direction": "down", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_008.json"}} {"qa_id": "0ec52d388b744757801fc09c12ea69bf", "image_id": "L3-MazeLoop-test_11x11_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G15, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 17th position in this traversal?", "start_object_id": "G15", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [17], "ordinal_strings": ["17th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U26", "traversal_path": [{"identifier": "G15", "position": [7, 8], "step": 0, "ordinal_position": 1}, {"identifier": "M11", "position": [7, 7], "step": 1, "ordinal_position": 2}, {"identifier": "K92", "position": [8, 7], "step": 2, "ordinal_position": 3}, {"identifier": "R45", "position": [9, 7], "step": 3, "ordinal_position": 4}, {"identifier": "B04", "position": [9, 8], "step": 4, "ordinal_position": 5}, {"identifier": "X93", "position": [9, 9], "step": 5, "ordinal_position": 6}, {"identifier": "F52", "position": [8, 9], "step": 6, "ordinal_position": 7}, {"identifier": "O05", "position": [7, 9], "step": 7, "ordinal_position": 8}, {"identifier": "Q23", "position": [6, 9], "step": 8, "ordinal_position": 9}, {"identifier": "A48", "position": [5, 9], "step": 9, "ordinal_position": 10}, {"identifier": "G48", "position": [5, 8], "step": 10, "ordinal_position": 11}, {"identifier": "X71", "position": [5, 7], "step": 11, "ordinal_position": 12}, {"identifier": "U78", "position": [4, 7], "step": 12, "ordinal_position": 13}, {"identifier": "J00", "position": [3, 7], "step": 13, "ordinal_position": 14}, {"identifier": "O57", "position": [3, 8], "step": 14, "ordinal_position": 15}, {"identifier": "L64", "position": [3, 9], "step": 15, "ordinal_position": 16}, {"identifier": "U26", "position": [2, 9], "step": 16, "ordinal_position": 17}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 17, "direction": "up", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_008.json"}} {"qa_id": "176214579ab64248b028d992d4013a3a", "image_id": "L3-MazeLoop-test_11x11_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G58, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 176th position in this traversal?", "start_object_id": "G58", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [176], "ordinal_strings": ["176th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "I09", "traversal_path": [{"identifier": "G58", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "M22", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "U62", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "E77", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "R07", "position": [1, 6], "step": 4, "ordinal_position": 5}, {"identifier": "M64", "position": [1, 7], "step": 5, "ordinal_position": 6}, {"identifier": "J98", "position": [1, 8], "step": 6, "ordinal_position": 7}, {"identifier": "O09", "position": [1, 9], "step": 7, "ordinal_position": 8}, {"identifier": "U26", "position": [2, 9], "step": 8, "ordinal_position": 9}, {"identifier": "L64", "position": [3, 9], "step": 9, "ordinal_position": 10}, {"identifier": "O57", "position": [3, 8], "step": 10, "ordinal_position": 11}, {"identifier": "J00", "position": [3, 7], "step": 11, "ordinal_position": 12}, {"identifier": "U78", "position": [4, 7], "step": 12, "ordinal_position": 13}, {"identifier": "X71", "position": [5, 7], "step": 13, "ordinal_position": 14}, {"identifier": "G48", "position": [5, 8], "step": 14, "ordinal_position": 15}, {"identifier": "A48", "position": [5, 9], "step": 15, "ordinal_position": 16}, {"identifier": "Q23", "position": [6, 9], "step": 16, "ordinal_position": 17}, {"identifier": "O05", "position": [7, 9], "step": 17, "ordinal_position": 18}, {"identifier": "F52", "position": [8, 9], "step": 18, "ordinal_position": 19}, {"identifier": "X93", "position": [9, 9], "step": 19, "ordinal_position": 20}, {"identifier": "B04", "position": [9, 8], "step": 20, "ordinal_position": 21}, {"identifier": "R45", "position": [9, 7], "step": 21, "ordinal_position": 22}, {"identifier": "U01", "position": [9, 6], "step": 22, "ordinal_position": 23}, {"identifier": "B37", "position": [9, 5], "step": 23, "ordinal_position": 24}, {"identifier": "U88", "position": [9, 4], "step": 24, "ordinal_position": 25}, {"identifier": "W82", "position": [9, 3], "step": 25, "ordinal_position": 26}, {"identifier": "I26", "position": [9, 2], "step": 26, "ordinal_position": 27}, {"identifier": "W32", "position": [9, 1], "step": 27, "ordinal_position": 28}, {"identifier": "S68", "position": [8, 1], "step": 28, "ordinal_position": 29}, {"identifier": "E76", "position": [7, 1], "step": 29, "ordinal_position": 30}, {"identifier": "S23", "position": [6, 1], "step": 30, "ordinal_position": 31}, {"identifier": "I09", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "D99", "position": [5, 2], "step": 32, "ordinal_position": 33}, {"identifier": "M85", "position": [5, 3], "step": 33, "ordinal_position": 34}, {"identifier": "V65", "position": [4, 3], "step": 34, "ordinal_position": 35}, {"identifier": "H17", "position": [3, 3], "step": 35, "ordinal_position": 36}, {"identifier": "A54", "position": [2, 3], "step": 36, "ordinal_position": 37}, {"identifier": "M22", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "U62", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "E77", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "R07", "position": [1, 6], "step": 40, "ordinal_position": 41}, {"identifier": "M64", "position": [1, 7], "step": 41, "ordinal_position": 42}, {"identifier": "J98", "position": [1, 8], "step": 42, "ordinal_position": 43}, {"identifier": "O09", "position": [1, 9], "step": 43, "ordinal_position": 44}, {"identifier": "U26", "position": [2, 9], "step": 44, "ordinal_position": 45}, {"identifier": "L64", "position": [3, 9], "step": 45, "ordinal_position": 46}, {"identifier": "O57", "position": [3, 8], "step": 46, "ordinal_position": 47}, {"identifier": "J00", "position": [3, 7], "step": 47, "ordinal_position": 48}, {"identifier": "U78", "position": [4, 7], "step": 48, "ordinal_position": 49}, {"identifier": "X71", "position": [5, 7], "step": 49, "ordinal_position": 50}, {"identifier": "G48", "position": [5, 8], "step": 50, "ordinal_position": 51}, {"identifier": "A48", "position": [5, 9], "step": 51, "ordinal_position": 52}, {"identifier": "Q23", "position": [6, 9], "step": 52, "ordinal_position": 53}, {"identifier": "O05", "position": [7, 9], "step": 53, "ordinal_position": 54}, {"identifier": "F52", "position": [8, 9], "step": 54, "ordinal_position": 55}, {"identifier": "X93", "position": [9, 9], "step": 55, "ordinal_position": 56}, {"identifier": "B04", "position": [9, 8], "step": 56, "ordinal_position": 57}, {"identifier": "R45", "position": [9, 7], "step": 57, "ordinal_position": 58}, {"identifier": "U01", "position": [9, 6], "step": 58, "ordinal_position": 59}, {"identifier": "B37", "position": [9, 5], "step": 59, "ordinal_position": 60}, {"identifier": "U88", "position": [9, 4], "step": 60, "ordinal_position": 61}, {"identifier": "W82", "position": [9, 3], "step": 61, "ordinal_position": 62}, {"identifier": "I26", "position": [9, 2], "step": 62, "ordinal_position": 63}, {"identifier": "W32", "position": [9, 1], "step": 63, "ordinal_position": 64}, {"identifier": "S68", "position": [8, 1], "step": 64, "ordinal_position": 65}, {"identifier": "E76", "position": [7, 1], "step": 65, "ordinal_position": 66}, {"identifier": "S23", "position": [6, 1], "step": 66, "ordinal_position": 67}, {"identifier": "I09", "position": [5, 1], "step": 67, "ordinal_position": 68}, {"identifier": "D99", "position": [5, 2], "step": 68, "ordinal_position": 69}, {"identifier": "M85", "position": [5, 3], "step": 69, "ordinal_position": 70}, {"identifier": "V65", "position": [4, 3], "step": 70, "ordinal_position": 71}, {"identifier": "H17", "position": [3, 3], "step": 71, "ordinal_position": 72}, {"identifier": "A54", "position": [2, 3], "step": 72, "ordinal_position": 73}, {"identifier": "M22", "position": [1, 3], "step": 73, "ordinal_position": 74}, {"identifier": "U62", "position": [1, 4], "step": 74, "ordinal_position": 75}, {"identifier": "E77", "position": [1, 5], "step": 75, "ordinal_position": 76}, {"identifier": "R07", "position": [1, 6], "step": 76, "ordinal_position": 77}, {"identifier": "M64", "position": [1, 7], "step": 77, "ordinal_position": 78}, {"identifier": "J98", "position": [1, 8], "step": 78, "ordinal_position": 79}, {"identifier": "O09", "position": [1, 9], "step": 79, "ordinal_position": 80}, {"identifier": "U26", "position": [2, 9], "step": 80, "ordinal_position": 81}, {"identifier": "L64", "position": [3, 9], "step": 81, "ordinal_position": 82}, {"identifier": "O57", "position": [3, 8], "step": 82, "ordinal_position": 83}, {"identifier": "J00", "position": [3, 7], "step": 83, "ordinal_position": 84}, {"identifier": "U78", "position": [4, 7], "step": 84, "ordinal_position": 85}, {"identifier": "X71", "position": [5, 7], "step": 85, "ordinal_position": 86}, {"identifier": "G48", "position": [5, 8], "step": 86, "ordinal_position": 87}, {"identifier": "A48", "position": [5, 9], "step": 87, "ordinal_position": 88}, {"identifier": "Q23", "position": [6, 9], "step": 88, "ordinal_position": 89}, {"identifier": "O05", "position": [7, 9], "step": 89, "ordinal_position": 90}, {"identifier": "F52", "position": [8, 9], "step": 90, "ordinal_position": 91}, {"identifier": "X93", "position": [9, 9], "step": 91, "ordinal_position": 92}, {"identifier": "B04", "position": [9, 8], "step": 92, "ordinal_position": 93}, {"identifier": "R45", "position": [9, 7], "step": 93, "ordinal_position": 94}, {"identifier": "U01", "position": [9, 6], "step": 94, "ordinal_position": 95}, {"identifier": "B37", "position": [9, 5], "step": 95, "ordinal_position": 96}, {"identifier": "U88", "position": [9, 4], "step": 96, "ordinal_position": 97}, {"identifier": "W82", "position": [9, 3], "step": 97, "ordinal_position": 98}, {"identifier": "I26", "position": [9, 2], "step": 98, "ordinal_position": 99}, {"identifier": "W32", "position": [9, 1], "step": 99, "ordinal_position": 100}, {"identifier": "S68", "position": [8, 1], "step": 100, "ordinal_position": 101}, {"identifier": "E76", "position": [7, 1], "step": 101, "ordinal_position": 102}, {"identifier": "S23", "position": [6, 1], "step": 102, "ordinal_position": 103}, {"identifier": "I09", "position": [5, 1], "step": 103, "ordinal_position": 104}, {"identifier": "D99", "position": [5, 2], "step": 104, "ordinal_position": 105}, {"identifier": "M85", "position": [5, 3], "step": 105, "ordinal_position": 106}, {"identifier": "V65", "position": [4, 3], "step": 106, "ordinal_position": 107}, {"identifier": "H17", "position": [3, 3], "step": 107, "ordinal_position": 108}, {"identifier": "A54", "position": [2, 3], "step": 108, "ordinal_position": 109}, {"identifier": "M22", "position": [1, 3], "step": 109, "ordinal_position": 110}, {"identifier": "U62", "position": [1, 4], "step": 110, "ordinal_position": 111}, {"identifier": "E77", "position": [1, 5], "step": 111, "ordinal_position": 112}, {"identifier": "R07", "position": [1, 6], "step": 112, "ordinal_position": 113}, {"identifier": "M64", "position": [1, 7], "step": 113, "ordinal_position": 114}, {"identifier": "J98", "position": [1, 8], "step": 114, "ordinal_position": 115}, {"identifier": "O09", "position": [1, 9], "step": 115, "ordinal_position": 116}, {"identifier": "U26", "position": [2, 9], "step": 116, "ordinal_position": 117}, {"identifier": "L64", "position": [3, 9], "step": 117, "ordinal_position": 118}, {"identifier": "O57", "position": [3, 8], "step": 118, "ordinal_position": 119}, {"identifier": "J00", "position": [3, 7], "step": 119, "ordinal_position": 120}, {"identifier": "U78", "position": [4, 7], "step": 120, "ordinal_position": 121}, {"identifier": "X71", "position": [5, 7], "step": 121, "ordinal_position": 122}, {"identifier": "G48", "position": [5, 8], "step": 122, "ordinal_position": 123}, {"identifier": "A48", "position": [5, 9], "step": 123, "ordinal_position": 124}, {"identifier": "Q23", "position": [6, 9], "step": 124, "ordinal_position": 125}, {"identifier": "O05", "position": [7, 9], "step": 125, "ordinal_position": 126}, {"identifier": "F52", "position": [8, 9], "step": 126, "ordinal_position": 127}, {"identifier": "X93", "position": [9, 9], "step": 127, "ordinal_position": 128}, {"identifier": "B04", "position": [9, 8], "step": 128, "ordinal_position": 129}, {"identifier": "R45", "position": [9, 7], "step": 129, "ordinal_position": 130}, {"identifier": "U01", "position": [9, 6], "step": 130, "ordinal_position": 131}, {"identifier": "B37", "position": [9, 5], "step": 131, "ordinal_position": 132}, {"identifier": "U88", "position": [9, 4], "step": 132, "ordinal_position": 133}, {"identifier": "W82", "position": [9, 3], "step": 133, "ordinal_position": 134}, {"identifier": "I26", "position": [9, 2], "step": 134, "ordinal_position": 135}, {"identifier": "W32", "position": [9, 1], "step": 135, "ordinal_position": 136}, {"identifier": "S68", "position": [8, 1], "step": 136, "ordinal_position": 137}, {"identifier": "E76", "position": [7, 1], "step": 137, "ordinal_position": 138}, {"identifier": "S23", "position": [6, 1], "step": 138, "ordinal_position": 139}, {"identifier": "I09", "position": [5, 1], "step": 139, "ordinal_position": 140}, {"identifier": "D99", "position": [5, 2], "step": 140, "ordinal_position": 141}, {"identifier": "M85", "position": [5, 3], "step": 141, "ordinal_position": 142}, {"identifier": "V65", "position": [4, 3], "step": 142, "ordinal_position": 143}, {"identifier": "H17", "position": [3, 3], "step": 143, "ordinal_position": 144}, {"identifier": "A54", "position": [2, 3], "step": 144, "ordinal_position": 145}, {"identifier": "M22", "position": [1, 3], "step": 145, "ordinal_position": 146}, {"identifier": "U62", "position": [1, 4], "step": 146, "ordinal_position": 147}, {"identifier": "E77", "position": [1, 5], "step": 147, "ordinal_position": 148}, {"identifier": "R07", "position": [1, 6], "step": 148, "ordinal_position": 149}, {"identifier": "M64", "position": [1, 7], "step": 149, "ordinal_position": 150}, {"identifier": "J98", "position": [1, 8], "step": 150, "ordinal_position": 151}, {"identifier": "O09", "position": [1, 9], "step": 151, "ordinal_position": 152}, {"identifier": "U26", "position": [2, 9], "step": 152, "ordinal_position": 153}, {"identifier": "L64", "position": [3, 9], "step": 153, "ordinal_position": 154}, {"identifier": "O57", "position": [3, 8], "step": 154, "ordinal_position": 155}, {"identifier": "J00", "position": [3, 7], "step": 155, "ordinal_position": 156}, {"identifier": "U78", "position": [4, 7], "step": 156, "ordinal_position": 157}, {"identifier": "X71", "position": [5, 7], "step": 157, "ordinal_position": 158}, {"identifier": "G48", "position": [5, 8], "step": 158, "ordinal_position": 159}, {"identifier": "A48", "position": [5, 9], "step": 159, "ordinal_position": 160}, {"identifier": "Q23", "position": [6, 9], "step": 160, "ordinal_position": 161}, {"identifier": "O05", "position": [7, 9], "step": 161, "ordinal_position": 162}, {"identifier": "F52", "position": [8, 9], "step": 162, "ordinal_position": 163}, {"identifier": "X93", "position": [9, 9], "step": 163, "ordinal_position": 164}, {"identifier": "B04", "position": [9, 8], "step": 164, "ordinal_position": 165}, {"identifier": "R45", "position": [9, 7], "step": 165, "ordinal_position": 166}, {"identifier": "U01", "position": [9, 6], "step": 166, "ordinal_position": 167}, {"identifier": "B37", "position": [9, 5], "step": 167, "ordinal_position": 168}, {"identifier": "U88", "position": [9, 4], "step": 168, "ordinal_position": 169}, {"identifier": "W82", "position": [9, 3], "step": 169, "ordinal_position": 170}, {"identifier": "I26", "position": [9, 2], "step": 170, "ordinal_position": 171}, {"identifier": "W32", "position": [9, 1], "step": 171, "ordinal_position": 172}, {"identifier": "S68", "position": [8, 1], "step": 172, "ordinal_position": 173}, {"identifier": "E76", "position": [7, 1], "step": 173, "ordinal_position": 174}, {"identifier": "S23", "position": [6, 1], "step": 174, "ordinal_position": 175}, {"identifier": "I09", "position": [5, 1], "step": 175, "ordinal_position": 176}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 176, "direction": "down", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_008.json"}} {"qa_id": "a9d484168c0b417d8c344e67899ae51e", "image_id": "L3-MazeLoop-test_11x11_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H17, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 146th position in this traversal?", "start_object_id": "H17", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [146], "ordinal_strings": ["146th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "O57", "traversal_path": [{"identifier": "H17", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "V65", "position": [4, 3], "step": 1, "ordinal_position": 2}, {"identifier": "M85", "position": [5, 3], "step": 2, "ordinal_position": 3}, {"identifier": "D99", "position": [5, 2], "step": 3, "ordinal_position": 4}, {"identifier": "I09", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "S23", "position": [6, 1], "step": 5, "ordinal_position": 6}, {"identifier": "E76", "position": [7, 1], "step": 6, "ordinal_position": 7}, {"identifier": "S68", "position": [8, 1], "step": 7, "ordinal_position": 8}, {"identifier": "W32", "position": [9, 1], "step": 8, "ordinal_position": 9}, {"identifier": "I26", "position": [9, 2], "step": 9, "ordinal_position": 10}, {"identifier": "W82", "position": [9, 3], "step": 10, "ordinal_position": 11}, {"identifier": "U88", "position": [9, 4], "step": 11, "ordinal_position": 12}, {"identifier": "B37", "position": [9, 5], "step": 12, "ordinal_position": 13}, {"identifier": "U01", "position": [9, 6], "step": 13, "ordinal_position": 14}, {"identifier": "R45", "position": [9, 7], "step": 14, "ordinal_position": 15}, {"identifier": "B04", "position": [9, 8], "step": 15, "ordinal_position": 16}, {"identifier": "X93", "position": [9, 9], "step": 16, "ordinal_position": 17}, {"identifier": "F52", "position": [8, 9], "step": 17, "ordinal_position": 18}, {"identifier": "O05", "position": [7, 9], "step": 18, "ordinal_position": 19}, {"identifier": "Q23", "position": [6, 9], "step": 19, "ordinal_position": 20}, {"identifier": "A48", "position": [5, 9], "step": 20, "ordinal_position": 21}, {"identifier": "G48", "position": [5, 8], "step": 21, "ordinal_position": 22}, {"identifier": "X71", "position": [5, 7], "step": 22, "ordinal_position": 23}, {"identifier": "U78", "position": [4, 7], "step": 23, "ordinal_position": 24}, {"identifier": "J00", "position": [3, 7], "step": 24, "ordinal_position": 25}, {"identifier": "O57", "position": [3, 8], "step": 25, "ordinal_position": 26}, {"identifier": "L64", "position": [3, 9], "step": 26, "ordinal_position": 27}, {"identifier": "U26", "position": [2, 9], "step": 27, "ordinal_position": 28}, {"identifier": "O09", "position": [1, 9], "step": 28, "ordinal_position": 29}, {"identifier": "J98", "position": [1, 8], "step": 29, "ordinal_position": 30}, {"identifier": "M64", "position": [1, 7], "step": 30, "ordinal_position": 31}, {"identifier": "R07", "position": [1, 6], "step": 31, "ordinal_position": 32}, {"identifier": "E77", "position": [1, 5], "step": 32, "ordinal_position": 33}, {"identifier": "U62", "position": [1, 4], "step": 33, "ordinal_position": 34}, {"identifier": "M22", "position": [1, 3], "step": 34, "ordinal_position": 35}, {"identifier": "G58", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "C92", "position": [1, 1], "step": 36, "ordinal_position": 37}, {"identifier": "K43", "position": [2, 1], "step": 37, "ordinal_position": 38}, {"identifier": "G80", "position": [3, 1], "step": 38, "ordinal_position": 39}, {"identifier": "H94", "position": [3, 2], "step": 39, "ordinal_position": 40}, {"identifier": "H17", "position": [3, 3], "step": 40, "ordinal_position": 41}, {"identifier": "V65", "position": [4, 3], "step": 41, "ordinal_position": 42}, {"identifier": "M85", "position": [5, 3], "step": 42, "ordinal_position": 43}, {"identifier": "D99", "position": [5, 2], "step": 43, "ordinal_position": 44}, {"identifier": "I09", "position": [5, 1], "step": 44, "ordinal_position": 45}, {"identifier": "S23", "position": [6, 1], "step": 45, "ordinal_position": 46}, {"identifier": "E76", "position": [7, 1], "step": 46, "ordinal_position": 47}, {"identifier": "S68", "position": [8, 1], "step": 47, "ordinal_position": 48}, {"identifier": "W32", "position": [9, 1], "step": 48, "ordinal_position": 49}, {"identifier": "I26", "position": [9, 2], "step": 49, "ordinal_position": 50}, {"identifier": "W82", "position": [9, 3], "step": 50, "ordinal_position": 51}, {"identifier": "U88", "position": [9, 4], "step": 51, "ordinal_position": 52}, {"identifier": "B37", "position": [9, 5], "step": 52, "ordinal_position": 53}, {"identifier": "U01", "position": [9, 6], "step": 53, "ordinal_position": 54}, {"identifier": "R45", "position": [9, 7], "step": 54, "ordinal_position": 55}, {"identifier": "B04", "position": [9, 8], "step": 55, "ordinal_position": 56}, {"identifier": "X93", "position": [9, 9], "step": 56, "ordinal_position": 57}, {"identifier": "F52", "position": [8, 9], "step": 57, "ordinal_position": 58}, {"identifier": "O05", "position": [7, 9], "step": 58, "ordinal_position": 59}, {"identifier": "Q23", "position": [6, 9], "step": 59, "ordinal_position": 60}, {"identifier": "A48", "position": [5, 9], "step": 60, "ordinal_position": 61}, {"identifier": "G48", "position": [5, 8], "step": 61, "ordinal_position": 62}, {"identifier": "X71", "position": [5, 7], "step": 62, "ordinal_position": 63}, {"identifier": "U78", "position": [4, 7], "step": 63, "ordinal_position": 64}, {"identifier": "J00", "position": [3, 7], "step": 64, "ordinal_position": 65}, {"identifier": "O57", "position": [3, 8], "step": 65, "ordinal_position": 66}, {"identifier": "L64", "position": [3, 9], "step": 66, "ordinal_position": 67}, {"identifier": "U26", "position": [2, 9], "step": 67, "ordinal_position": 68}, {"identifier": "O09", "position": [1, 9], "step": 68, "ordinal_position": 69}, {"identifier": "J98", "position": [1, 8], "step": 69, "ordinal_position": 70}, {"identifier": "M64", "position": [1, 7], "step": 70, "ordinal_position": 71}, {"identifier": "R07", "position": [1, 6], "step": 71, "ordinal_position": 72}, {"identifier": "E77", "position": [1, 5], "step": 72, "ordinal_position": 73}, {"identifier": "U62", "position": [1, 4], "step": 73, "ordinal_position": 74}, {"identifier": "M22", "position": [1, 3], "step": 74, "ordinal_position": 75}, {"identifier": "G58", "position": [1, 2], "step": 75, "ordinal_position": 76}, {"identifier": "C92", "position": [1, 1], "step": 76, "ordinal_position": 77}, {"identifier": "K43", "position": [2, 1], "step": 77, "ordinal_position": 78}, {"identifier": "G80", "position": [3, 1], "step": 78, "ordinal_position": 79}, {"identifier": "H94", "position": [3, 2], "step": 79, "ordinal_position": 80}, {"identifier": "H17", "position": [3, 3], "step": 80, "ordinal_position": 81}, {"identifier": "V65", "position": [4, 3], "step": 81, "ordinal_position": 82}, {"identifier": "M85", "position": [5, 3], "step": 82, "ordinal_position": 83}, {"identifier": "D99", "position": [5, 2], "step": 83, "ordinal_position": 84}, {"identifier": "I09", "position": [5, 1], "step": 84, "ordinal_position": 85}, {"identifier": "S23", "position": [6, 1], "step": 85, "ordinal_position": 86}, {"identifier": "E76", "position": [7, 1], "step": 86, "ordinal_position": 87}, {"identifier": "S68", "position": [8, 1], "step": 87, "ordinal_position": 88}, {"identifier": "W32", "position": [9, 1], "step": 88, "ordinal_position": 89}, {"identifier": "I26", "position": [9, 2], "step": 89, "ordinal_position": 90}, {"identifier": "W82", "position": [9, 3], "step": 90, "ordinal_position": 91}, {"identifier": "U88", "position": [9, 4], "step": 91, "ordinal_position": 92}, {"identifier": "B37", "position": [9, 5], "step": 92, "ordinal_position": 93}, {"identifier": "U01", "position": [9, 6], "step": 93, "ordinal_position": 94}, {"identifier": "R45", "position": [9, 7], "step": 94, "ordinal_position": 95}, {"identifier": "B04", "position": [9, 8], "step": 95, "ordinal_position": 96}, {"identifier": "X93", "position": [9, 9], "step": 96, "ordinal_position": 97}, {"identifier": "F52", "position": [8, 9], "step": 97, "ordinal_position": 98}, {"identifier": "O05", "position": [7, 9], "step": 98, "ordinal_position": 99}, {"identifier": "Q23", "position": [6, 9], "step": 99, "ordinal_position": 100}, {"identifier": "A48", "position": [5, 9], "step": 100, "ordinal_position": 101}, {"identifier": "G48", "position": [5, 8], "step": 101, "ordinal_position": 102}, {"identifier": "X71", "position": [5, 7], "step": 102, "ordinal_position": 103}, {"identifier": "U78", "position": [4, 7], "step": 103, "ordinal_position": 104}, {"identifier": "J00", "position": [3, 7], "step": 104, "ordinal_position": 105}, {"identifier": "O57", "position": [3, 8], "step": 105, "ordinal_position": 106}, {"identifier": "L64", "position": [3, 9], "step": 106, "ordinal_position": 107}, {"identifier": "U26", "position": [2, 9], "step": 107, "ordinal_position": 108}, {"identifier": "O09", "position": [1, 9], "step": 108, "ordinal_position": 109}, {"identifier": "J98", "position": [1, 8], "step": 109, "ordinal_position": 110}, {"identifier": "M64", "position": [1, 7], "step": 110, "ordinal_position": 111}, {"identifier": "R07", "position": [1, 6], "step": 111, "ordinal_position": 112}, {"identifier": "E77", "position": [1, 5], "step": 112, "ordinal_position": 113}, {"identifier": "U62", "position": [1, 4], "step": 113, "ordinal_position": 114}, {"identifier": "M22", "position": [1, 3], "step": 114, "ordinal_position": 115}, {"identifier": "G58", "position": [1, 2], "step": 115, "ordinal_position": 116}, {"identifier": "C92", "position": [1, 1], "step": 116, "ordinal_position": 117}, {"identifier": "K43", "position": [2, 1], "step": 117, "ordinal_position": 118}, {"identifier": "G80", "position": [3, 1], "step": 118, "ordinal_position": 119}, {"identifier": "H94", "position": [3, 2], "step": 119, "ordinal_position": 120}, {"identifier": "H17", "position": [3, 3], "step": 120, "ordinal_position": 121}, {"identifier": "V65", "position": [4, 3], "step": 121, "ordinal_position": 122}, {"identifier": "M85", "position": [5, 3], "step": 122, "ordinal_position": 123}, {"identifier": "D99", "position": [5, 2], "step": 123, "ordinal_position": 124}, {"identifier": "I09", "position": [5, 1], "step": 124, "ordinal_position": 125}, {"identifier": "S23", "position": [6, 1], "step": 125, "ordinal_position": 126}, {"identifier": "E76", "position": [7, 1], "step": 126, "ordinal_position": 127}, {"identifier": "S68", "position": [8, 1], "step": 127, "ordinal_position": 128}, {"identifier": "W32", "position": [9, 1], "step": 128, "ordinal_position": 129}, {"identifier": "I26", "position": [9, 2], "step": 129, "ordinal_position": 130}, {"identifier": "W82", "position": [9, 3], "step": 130, "ordinal_position": 131}, {"identifier": "U88", "position": [9, 4], "step": 131, "ordinal_position": 132}, {"identifier": "B37", "position": [9, 5], "step": 132, "ordinal_position": 133}, {"identifier": "U01", "position": [9, 6], "step": 133, "ordinal_position": 134}, {"identifier": "R45", "position": [9, 7], "step": 134, "ordinal_position": 135}, {"identifier": "B04", "position": [9, 8], "step": 135, "ordinal_position": 136}, {"identifier": "X93", "position": [9, 9], "step": 136, "ordinal_position": 137}, {"identifier": "F52", "position": [8, 9], "step": 137, "ordinal_position": 138}, {"identifier": "O05", "position": [7, 9], "step": 138, "ordinal_position": 139}, {"identifier": "Q23", "position": [6, 9], "step": 139, "ordinal_position": 140}, {"identifier": "A48", "position": [5, 9], "step": 140, "ordinal_position": 141}, {"identifier": "G48", "position": [5, 8], "step": 141, "ordinal_position": 142}, {"identifier": "X71", "position": [5, 7], "step": 142, "ordinal_position": 143}, {"identifier": "U78", "position": [4, 7], "step": 143, "ordinal_position": 144}, {"identifier": "J00", "position": [3, 7], "step": 144, "ordinal_position": 145}, {"identifier": "O57", "position": [3, 8], "step": 145, "ordinal_position": 146}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 146, "direction": "right", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_008.json"}} {"qa_id": "551bf273421642c7804810b13da868c6", "image_id": "L3-MazeLoop-test_11x11_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L70, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 142nd position in this traversal?", "start_object_id": "L70", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [142], "ordinal_strings": ["142nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "M22", "traversal_path": [{"identifier": "L70", "position": [7, 2], "step": 0, "ordinal_position": 1}, {"identifier": "E76", "position": [7, 1], "step": 1, "ordinal_position": 2}, {"identifier": "S68", "position": [8, 1], "step": 2, "ordinal_position": 3}, {"identifier": "W32", "position": [9, 1], "step": 3, "ordinal_position": 4}, {"identifier": "I26", "position": [9, 2], "step": 4, "ordinal_position": 5}, {"identifier": "W82", "position": [9, 3], "step": 5, "ordinal_position": 6}, {"identifier": "U88", "position": [9, 4], "step": 6, "ordinal_position": 7}, {"identifier": "B37", "position": [9, 5], "step": 7, "ordinal_position": 8}, {"identifier": "U01", "position": [9, 6], "step": 8, "ordinal_position": 9}, {"identifier": "R45", "position": [9, 7], "step": 9, "ordinal_position": 10}, {"identifier": "B04", "position": [9, 8], "step": 10, "ordinal_position": 11}, {"identifier": "X93", "position": [9, 9], "step": 11, "ordinal_position": 12}, {"identifier": "F52", "position": [8, 9], "step": 12, "ordinal_position": 13}, {"identifier": "O05", "position": [7, 9], "step": 13, "ordinal_position": 14}, {"identifier": "Q23", "position": [6, 9], "step": 14, "ordinal_position": 15}, {"identifier": "A48", "position": [5, 9], "step": 15, "ordinal_position": 16}, {"identifier": "G48", "position": [5, 8], "step": 16, "ordinal_position": 17}, {"identifier": "X71", "position": [5, 7], "step": 17, "ordinal_position": 18}, {"identifier": "U78", "position": [4, 7], "step": 18, "ordinal_position": 19}, {"identifier": "J00", "position": [3, 7], "step": 19, "ordinal_position": 20}, {"identifier": "O57", "position": [3, 8], "step": 20, "ordinal_position": 21}, {"identifier": "L64", "position": [3, 9], "step": 21, "ordinal_position": 22}, {"identifier": "U26", "position": [2, 9], "step": 22, "ordinal_position": 23}, {"identifier": "O09", "position": [1, 9], "step": 23, "ordinal_position": 24}, {"identifier": "J98", "position": [1, 8], "step": 24, "ordinal_position": 25}, {"identifier": "M64", "position": [1, 7], "step": 25, "ordinal_position": 26}, {"identifier": "R07", "position": [1, 6], "step": 26, "ordinal_position": 27}, {"identifier": "E77", "position": [1, 5], "step": 27, "ordinal_position": 28}, {"identifier": "U62", "position": [1, 4], "step": 28, "ordinal_position": 29}, {"identifier": "M22", "position": [1, 3], "step": 29, "ordinal_position": 30}, {"identifier": "G58", "position": [1, 2], "step": 30, "ordinal_position": 31}, {"identifier": "C92", "position": [1, 1], "step": 31, "ordinal_position": 32}, {"identifier": "K43", "position": [2, 1], "step": 32, "ordinal_position": 33}, {"identifier": "G80", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "H94", "position": [3, 2], "step": 34, "ordinal_position": 35}, {"identifier": "H17", "position": [3, 3], "step": 35, "ordinal_position": 36}, {"identifier": "A54", "position": [2, 3], "step": 36, "ordinal_position": 37}, {"identifier": "M22", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "G58", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "C92", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "K43", "position": [2, 1], "step": 40, "ordinal_position": 41}, {"identifier": "G80", "position": [3, 1], "step": 41, "ordinal_position": 42}, {"identifier": "H94", "position": [3, 2], "step": 42, "ordinal_position": 43}, {"identifier": "H17", "position": [3, 3], "step": 43, "ordinal_position": 44}, {"identifier": "A54", "position": [2, 3], "step": 44, "ordinal_position": 45}, {"identifier": "M22", "position": [1, 3], "step": 45, "ordinal_position": 46}, {"identifier": "G58", "position": [1, 2], "step": 46, "ordinal_position": 47}, {"identifier": "C92", "position": [1, 1], "step": 47, "ordinal_position": 48}, {"identifier": "K43", "position": [2, 1], "step": 48, "ordinal_position": 49}, {"identifier": "G80", "position": [3, 1], "step": 49, "ordinal_position": 50}, {"identifier": "H94", "position": [3, 2], "step": 50, "ordinal_position": 51}, {"identifier": "H17", "position": [3, 3], "step": 51, "ordinal_position": 52}, {"identifier": "A54", "position": [2, 3], "step": 52, "ordinal_position": 53}, {"identifier": "M22", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "G58", "position": [1, 2], "step": 54, "ordinal_position": 55}, {"identifier": "C92", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "K43", "position": [2, 1], "step": 56, "ordinal_position": 57}, {"identifier": "G80", "position": [3, 1], "step": 57, "ordinal_position": 58}, {"identifier": "H94", "position": [3, 2], "step": 58, "ordinal_position": 59}, {"identifier": "H17", "position": [3, 3], "step": 59, "ordinal_position": 60}, {"identifier": "A54", "position": [2, 3], "step": 60, "ordinal_position": 61}, {"identifier": "M22", "position": [1, 3], "step": 61, "ordinal_position": 62}, {"identifier": "G58", "position": [1, 2], "step": 62, "ordinal_position": 63}, {"identifier": "C92", "position": [1, 1], "step": 63, "ordinal_position": 64}, {"identifier": "K43", "position": [2, 1], "step": 64, "ordinal_position": 65}, {"identifier": "G80", "position": [3, 1], "step": 65, "ordinal_position": 66}, {"identifier": "H94", "position": [3, 2], "step": 66, "ordinal_position": 67}, {"identifier": "H17", "position": [3, 3], "step": 67, "ordinal_position": 68}, {"identifier": "A54", "position": [2, 3], "step": 68, "ordinal_position": 69}, {"identifier": "M22", "position": [1, 3], "step": 69, "ordinal_position": 70}, {"identifier": "G58", "position": [1, 2], "step": 70, "ordinal_position": 71}, {"identifier": "C92", "position": [1, 1], "step": 71, "ordinal_position": 72}, {"identifier": "K43", "position": [2, 1], "step": 72, "ordinal_position": 73}, {"identifier": "G80", "position": [3, 1], "step": 73, "ordinal_position": 74}, {"identifier": "H94", "position": [3, 2], "step": 74, "ordinal_position": 75}, {"identifier": "H17", "position": [3, 3], "step": 75, "ordinal_position": 76}, {"identifier": "A54", "position": [2, 3], "step": 76, "ordinal_position": 77}, {"identifier": "M22", "position": [1, 3], "step": 77, "ordinal_position": 78}, {"identifier": "G58", "position": [1, 2], "step": 78, "ordinal_position": 79}, {"identifier": "C92", "position": [1, 1], "step": 79, "ordinal_position": 80}, {"identifier": "K43", "position": [2, 1], "step": 80, "ordinal_position": 81}, {"identifier": "G80", "position": [3, 1], "step": 81, "ordinal_position": 82}, {"identifier": "H94", "position": [3, 2], "step": 82, "ordinal_position": 83}, {"identifier": "H17", "position": [3, 3], "step": 83, "ordinal_position": 84}, {"identifier": "A54", "position": [2, 3], "step": 84, "ordinal_position": 85}, {"identifier": "M22", "position": [1, 3], "step": 85, "ordinal_position": 86}, {"identifier": "G58", "position": [1, 2], "step": 86, "ordinal_position": 87}, {"identifier": "C92", "position": [1, 1], "step": 87, "ordinal_position": 88}, {"identifier": "K43", "position": [2, 1], "step": 88, "ordinal_position": 89}, {"identifier": "G80", "position": [3, 1], "step": 89, "ordinal_position": 90}, {"identifier": "H94", "position": [3, 2], "step": 90, "ordinal_position": 91}, {"identifier": "H17", "position": [3, 3], "step": 91, "ordinal_position": 92}, {"identifier": "A54", "position": [2, 3], "step": 92, "ordinal_position": 93}, {"identifier": "M22", "position": [1, 3], "step": 93, "ordinal_position": 94}, {"identifier": "G58", "position": [1, 2], "step": 94, "ordinal_position": 95}, {"identifier": "C92", "position": [1, 1], "step": 95, "ordinal_position": 96}, {"identifier": "K43", "position": [2, 1], "step": 96, "ordinal_position": 97}, {"identifier": "G80", "position": [3, 1], "step": 97, "ordinal_position": 98}, {"identifier": "H94", "position": [3, 2], "step": 98, "ordinal_position": 99}, {"identifier": "H17", "position": [3, 3], "step": 99, "ordinal_position": 100}, {"identifier": "A54", "position": [2, 3], "step": 100, "ordinal_position": 101}, {"identifier": "M22", "position": [1, 3], "step": 101, "ordinal_position": 102}, {"identifier": "G58", "position": [1, 2], "step": 102, "ordinal_position": 103}, {"identifier": "C92", "position": [1, 1], "step": 103, "ordinal_position": 104}, {"identifier": "K43", "position": [2, 1], "step": 104, "ordinal_position": 105}, {"identifier": "G80", "position": [3, 1], "step": 105, "ordinal_position": 106}, {"identifier": "H94", "position": [3, 2], "step": 106, "ordinal_position": 107}, {"identifier": "H17", "position": [3, 3], "step": 107, "ordinal_position": 108}, {"identifier": "A54", "position": [2, 3], "step": 108, "ordinal_position": 109}, {"identifier": "M22", "position": [1, 3], "step": 109, "ordinal_position": 110}, {"identifier": "G58", "position": [1, 2], "step": 110, "ordinal_position": 111}, {"identifier": "C92", "position": [1, 1], "step": 111, "ordinal_position": 112}, {"identifier": "K43", "position": [2, 1], "step": 112, "ordinal_position": 113}, {"identifier": "G80", "position": [3, 1], "step": 113, "ordinal_position": 114}, {"identifier": "H94", "position": [3, 2], "step": 114, "ordinal_position": 115}, {"identifier": "H17", "position": [3, 3], "step": 115, "ordinal_position": 116}, {"identifier": "A54", "position": [2, 3], "step": 116, "ordinal_position": 117}, {"identifier": "M22", "position": [1, 3], "step": 117, "ordinal_position": 118}, {"identifier": "G58", "position": [1, 2], "step": 118, "ordinal_position": 119}, {"identifier": "C92", "position": [1, 1], "step": 119, "ordinal_position": 120}, {"identifier": "K43", "position": [2, 1], "step": 120, "ordinal_position": 121}, {"identifier": "G80", "position": [3, 1], "step": 121, "ordinal_position": 122}, {"identifier": "H94", "position": [3, 2], "step": 122, "ordinal_position": 123}, {"identifier": "H17", "position": [3, 3], "step": 123, "ordinal_position": 124}, {"identifier": "A54", "position": [2, 3], "step": 124, "ordinal_position": 125}, {"identifier": "M22", "position": [1, 3], "step": 125, "ordinal_position": 126}, {"identifier": "G58", "position": [1, 2], "step": 126, "ordinal_position": 127}, {"identifier": "C92", "position": [1, 1], "step": 127, "ordinal_position": 128}, {"identifier": "K43", "position": [2, 1], "step": 128, "ordinal_position": 129}, {"identifier": "G80", "position": [3, 1], "step": 129, "ordinal_position": 130}, {"identifier": "H94", "position": [3, 2], "step": 130, "ordinal_position": 131}, {"identifier": "H17", "position": [3, 3], "step": 131, "ordinal_position": 132}, {"identifier": "A54", "position": [2, 3], "step": 132, "ordinal_position": 133}, {"identifier": "M22", "position": [1, 3], "step": 133, "ordinal_position": 134}, {"identifier": "G58", "position": [1, 2], "step": 134, "ordinal_position": 135}, {"identifier": "C92", "position": [1, 1], "step": 135, "ordinal_position": 136}, {"identifier": "K43", "position": [2, 1], "step": 136, "ordinal_position": 137}, {"identifier": "G80", "position": [3, 1], "step": 137, "ordinal_position": 138}, {"identifier": "H94", "position": [3, 2], "step": 138, "ordinal_position": 139}, {"identifier": "H17", "position": [3, 3], "step": 139, "ordinal_position": 140}, {"identifier": "A54", "position": [2, 3], "step": 140, "ordinal_position": 141}, {"identifier": "M22", "position": [1, 3], "step": 141, "ordinal_position": 142}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 142, "direction": "up", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_008.json"}} {"qa_id": "c90080b302564b4481864bb8efa60836", "image_id": "L3-MazeLoop-test_11x11_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G48, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 264th position in this traversal?", "start_object_id": "G48", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [264], "ordinal_strings": ["264th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "M22", "traversal_path": [{"identifier": "G48", "position": [5, 8], "step": 0, "ordinal_position": 1}, {"identifier": "A48", "position": [5, 9], "step": 1, "ordinal_position": 2}, {"identifier": "Q23", "position": [6, 9], "step": 2, "ordinal_position": 3}, {"identifier": "O05", "position": [7, 9], "step": 3, "ordinal_position": 4}, {"identifier": "F52", "position": [8, 9], "step": 4, "ordinal_position": 5}, {"identifier": "X93", "position": [9, 9], "step": 5, "ordinal_position": 6}, {"identifier": "B04", "position": [9, 8], "step": 6, "ordinal_position": 7}, {"identifier": "R45", "position": [9, 7], "step": 7, "ordinal_position": 8}, {"identifier": "U01", "position": [9, 6], "step": 8, "ordinal_position": 9}, {"identifier": "B37", "position": [9, 5], "step": 9, "ordinal_position": 10}, {"identifier": "U88", "position": [9, 4], "step": 10, "ordinal_position": 11}, {"identifier": "W82", "position": [9, 3], "step": 11, "ordinal_position": 12}, {"identifier": "I26", "position": [9, 2], "step": 12, "ordinal_position": 13}, {"identifier": "W32", "position": [9, 1], "step": 13, "ordinal_position": 14}, {"identifier": "S68", "position": [8, 1], "step": 14, "ordinal_position": 15}, {"identifier": "E76", "position": [7, 1], "step": 15, "ordinal_position": 16}, {"identifier": "S23", "position": [6, 1], "step": 16, "ordinal_position": 17}, {"identifier": "I09", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "D99", "position": [5, 2], "step": 18, "ordinal_position": 19}, {"identifier": "M85", "position": [5, 3], "step": 19, "ordinal_position": 20}, {"identifier": "V65", "position": [4, 3], "step": 20, "ordinal_position": 21}, {"identifier": "H17", "position": [3, 3], "step": 21, "ordinal_position": 22}, {"identifier": "A54", "position": [2, 3], "step": 22, "ordinal_position": 23}, {"identifier": "M22", "position": [1, 3], "step": 23, "ordinal_position": 24}, {"identifier": "G58", "position": [1, 2], "step": 24, "ordinal_position": 25}, {"identifier": "C92", "position": [1, 1], "step": 25, "ordinal_position": 26}, {"identifier": "K43", "position": [2, 1], "step": 26, "ordinal_position": 27}, {"identifier": "G80", "position": [3, 1], "step": 27, "ordinal_position": 28}, {"identifier": "H94", "position": [3, 2], "step": 28, "ordinal_position": 29}, {"identifier": "H17", "position": [3, 3], "step": 29, "ordinal_position": 30}, {"identifier": "A54", "position": [2, 3], "step": 30, "ordinal_position": 31}, {"identifier": "M22", "position": [1, 3], "step": 31, "ordinal_position": 32}, {"identifier": "G58", "position": [1, 2], "step": 32, "ordinal_position": 33}, {"identifier": "C92", "position": [1, 1], "step": 33, "ordinal_position": 34}, {"identifier": "K43", "position": [2, 1], "step": 34, "ordinal_position": 35}, {"identifier": "G80", "position": [3, 1], "step": 35, "ordinal_position": 36}, {"identifier": "H94", "position": [3, 2], "step": 36, "ordinal_position": 37}, {"identifier": "H17", "position": [3, 3], "step": 37, "ordinal_position": 38}, {"identifier": "A54", "position": [2, 3], "step": 38, "ordinal_position": 39}, {"identifier": "M22", "position": [1, 3], "step": 39, "ordinal_position": 40}, {"identifier": "G58", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "C92", "position": [1, 1], "step": 41, "ordinal_position": 42}, {"identifier": "K43", "position": [2, 1], "step": 42, "ordinal_position": 43}, {"identifier": "G80", "position": [3, 1], "step": 43, "ordinal_position": 44}, {"identifier": "H94", "position": [3, 2], "step": 44, "ordinal_position": 45}, {"identifier": "H17", "position": [3, 3], "step": 45, "ordinal_position": 46}, {"identifier": "A54", "position": [2, 3], "step": 46, "ordinal_position": 47}, {"identifier": "M22", "position": [1, 3], "step": 47, "ordinal_position": 48}, {"identifier": "G58", "position": [1, 2], "step": 48, "ordinal_position": 49}, {"identifier": "C92", "position": [1, 1], "step": 49, "ordinal_position": 50}, {"identifier": "K43", "position": [2, 1], "step": 50, "ordinal_position": 51}, {"identifier": "G80", "position": [3, 1], "step": 51, "ordinal_position": 52}, {"identifier": "H94", "position": [3, 2], "step": 52, "ordinal_position": 53}, {"identifier": "H17", "position": [3, 3], "step": 53, "ordinal_position": 54}, {"identifier": "A54", "position": [2, 3], "step": 54, "ordinal_position": 55}, {"identifier": "M22", "position": [1, 3], "step": 55, "ordinal_position": 56}, {"identifier": "G58", "position": [1, 2], "step": 56, "ordinal_position": 57}, {"identifier": "C92", "position": [1, 1], "step": 57, "ordinal_position": 58}, {"identifier": "K43", "position": [2, 1], "step": 58, "ordinal_position": 59}, {"identifier": "G80", "position": [3, 1], "step": 59, "ordinal_position": 60}, {"identifier": "H94", "position": [3, 2], "step": 60, "ordinal_position": 61}, {"identifier": "H17", "position": [3, 3], "step": 61, "ordinal_position": 62}, {"identifier": "A54", "position": [2, 3], "step": 62, "ordinal_position": 63}, {"identifier": "M22", "position": [1, 3], "step": 63, "ordinal_position": 64}, {"identifier": "G58", "position": [1, 2], "step": 64, "ordinal_position": 65}, {"identifier": "C92", "position": [1, 1], "step": 65, "ordinal_position": 66}, {"identifier": "K43", "position": [2, 1], "step": 66, "ordinal_position": 67}, {"identifier": "G80", "position": [3, 1], "step": 67, "ordinal_position": 68}, {"identifier": "H94", "position": [3, 2], "step": 68, "ordinal_position": 69}, {"identifier": "H17", "position": [3, 3], "step": 69, "ordinal_position": 70}, {"identifier": "A54", "position": [2, 3], "step": 70, "ordinal_position": 71}, {"identifier": "M22", "position": [1, 3], "step": 71, "ordinal_position": 72}, {"identifier": "G58", "position": [1, 2], "step": 72, "ordinal_position": 73}, {"identifier": "C92", "position": [1, 1], "step": 73, "ordinal_position": 74}, {"identifier": "K43", "position": [2, 1], "step": 74, "ordinal_position": 75}, {"identifier": "G80", "position": [3, 1], "step": 75, "ordinal_position": 76}, {"identifier": "H94", "position": [3, 2], "step": 76, "ordinal_position": 77}, {"identifier": "H17", "position": [3, 3], "step": 77, "ordinal_position": 78}, {"identifier": "A54", "position": [2, 3], "step": 78, "ordinal_position": 79}, {"identifier": "M22", "position": [1, 3], "step": 79, "ordinal_position": 80}, {"identifier": "G58", "position": [1, 2], "step": 80, "ordinal_position": 81}, {"identifier": "C92", "position": [1, 1], "step": 81, "ordinal_position": 82}, {"identifier": "K43", "position": [2, 1], "step": 82, "ordinal_position": 83}, {"identifier": "G80", "position": [3, 1], "step": 83, "ordinal_position": 84}, {"identifier": "H94", "position": [3, 2], "step": 84, "ordinal_position": 85}, {"identifier": "H17", "position": [3, 3], "step": 85, "ordinal_position": 86}, {"identifier": "A54", "position": [2, 3], "step": 86, "ordinal_position": 87}, {"identifier": "M22", "position": [1, 3], "step": 87, "ordinal_position": 88}, {"identifier": "G58", "position": [1, 2], "step": 88, "ordinal_position": 89}, {"identifier": "C92", "position": [1, 1], "step": 89, "ordinal_position": 90}, {"identifier": "K43", "position": [2, 1], "step": 90, "ordinal_position": 91}, {"identifier": "G80", "position": [3, 1], "step": 91, "ordinal_position": 92}, {"identifier": "H94", "position": [3, 2], "step": 92, "ordinal_position": 93}, {"identifier": "H17", "position": [3, 3], "step": 93, "ordinal_position": 94}, {"identifier": "A54", "position": [2, 3], "step": 94, "ordinal_position": 95}, {"identifier": "M22", "position": [1, 3], "step": 95, "ordinal_position": 96}, {"identifier": "G58", "position": [1, 2], "step": 96, "ordinal_position": 97}, {"identifier": "C92", 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{"identifier": "K43", "position": [2, 1], "step": 122, "ordinal_position": 123}, {"identifier": "G80", "position": [3, 1], "step": 123, "ordinal_position": 124}, {"identifier": "H94", "position": [3, 2], "step": 124, "ordinal_position": 125}, {"identifier": "H17", "position": [3, 3], "step": 125, "ordinal_position": 126}, {"identifier": "A54", "position": [2, 3], "step": 126, "ordinal_position": 127}, {"identifier": "M22", "position": [1, 3], "step": 127, "ordinal_position": 128}, {"identifier": "G58", "position": [1, 2], "step": 128, "ordinal_position": 129}, {"identifier": "C92", "position": [1, 1], "step": 129, "ordinal_position": 130}, {"identifier": "K43", "position": [2, 1], "step": 130, "ordinal_position": 131}, {"identifier": "G80", "position": [3, 1], "step": 131, "ordinal_position": 132}, {"identifier": "H94", "position": [3, 2], "step": 132, "ordinal_position": 133}, {"identifier": "H17", "position": [3, 3], "step": 133, "ordinal_position": 134}, {"identifier": "A54", 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146, "ordinal_position": 147}, {"identifier": "G80", "position": [3, 1], "step": 147, "ordinal_position": 148}, {"identifier": "H94", "position": [3, 2], "step": 148, "ordinal_position": 149}, {"identifier": "H17", "position": [3, 3], "step": 149, "ordinal_position": 150}, {"identifier": "A54", "position": [2, 3], "step": 150, "ordinal_position": 151}, {"identifier": "M22", "position": [1, 3], "step": 151, "ordinal_position": 152}, {"identifier": "G58", "position": [1, 2], "step": 152, "ordinal_position": 153}, {"identifier": "C92", "position": [1, 1], "step": 153, "ordinal_position": 154}, {"identifier": "K43", "position": [2, 1], "step": 154, "ordinal_position": 155}, {"identifier": "G80", "position": [3, 1], "step": 155, "ordinal_position": 156}, {"identifier": "H94", "position": [3, 2], "step": 156, "ordinal_position": 157}, {"identifier": "H17", "position": [3, 3], "step": 157, "ordinal_position": 158}, {"identifier": "A54", "position": [2, 3], "step": 158, "ordinal_position": 159}, {"identifier": "M22", "position": [1, 3], "step": 159, "ordinal_position": 160}, {"identifier": "G58", "position": [1, 2], "step": 160, "ordinal_position": 161}, {"identifier": "C92", "position": [1, 1], "step": 161, "ordinal_position": 162}, {"identifier": "K43", "position": [2, 1], "step": 162, "ordinal_position": 163}, {"identifier": "G80", "position": [3, 1], "step": 163, "ordinal_position": 164}, {"identifier": "H94", "position": [3, 2], "step": 164, "ordinal_position": 165}, {"identifier": "H17", "position": [3, 3], "step": 165, "ordinal_position": 166}, {"identifier": "A54", "position": [2, 3], "step": 166, "ordinal_position": 167}, {"identifier": "M22", "position": [1, 3], "step": 167, "ordinal_position": 168}, {"identifier": "G58", "position": [1, 2], "step": 168, "ordinal_position": 169}, {"identifier": "C92", "position": [1, 1], "step": 169, "ordinal_position": 170}, {"identifier": "K43", "position": [2, 1], "step": 170, "ordinal_position": 171}, {"identifier": "G80", "position": [3, 1], "step": 171, "ordinal_position": 172}, {"identifier": "H94", "position": [3, 2], "step": 172, "ordinal_position": 173}, {"identifier": "H17", "position": [3, 3], "step": 173, "ordinal_position": 174}, {"identifier": "A54", "position": [2, 3], "step": 174, "ordinal_position": 175}, {"identifier": "M22", "position": [1, 3], "step": 175, "ordinal_position": 176}, {"identifier": "G58", "position": [1, 2], "step": 176, "ordinal_position": 177}, {"identifier": "C92", "position": [1, 1], "step": 177, "ordinal_position": 178}, {"identifier": "K43", "position": [2, 1], "step": 178, "ordinal_position": 179}, {"identifier": "G80", "position": [3, 1], "step": 179, "ordinal_position": 180}, {"identifier": "H94", "position": [3, 2], "step": 180, "ordinal_position": 181}, {"identifier": "H17", "position": [3, 3], "step": 181, "ordinal_position": 182}, {"identifier": "A54", "position": [2, 3], "step": 182, "ordinal_position": 183}, {"identifier": "M22", "position": [1, 3], "step": 183, "ordinal_position": 184}, {"identifier": "G58", "position": [1, 2], "step": 184, "ordinal_position": 185}, {"identifier": "C92", "position": [1, 1], "step": 185, "ordinal_position": 186}, {"identifier": "K43", "position": [2, 1], "step": 186, "ordinal_position": 187}, {"identifier": "G80", "position": [3, 1], "step": 187, "ordinal_position": 188}, {"identifier": "H94", "position": [3, 2], "step": 188, "ordinal_position": 189}, {"identifier": "H17", "position": [3, 3], "step": 189, "ordinal_position": 190}, {"identifier": "A54", "position": [2, 3], "step": 190, "ordinal_position": 191}, {"identifier": "M22", "position": [1, 3], "step": 191, "ordinal_position": 192}, {"identifier": "G58", "position": [1, 2], "step": 192, "ordinal_position": 193}, {"identifier": "C92", "position": [1, 1], "step": 193, "ordinal_position": 194}, {"identifier": "K43", "position": [2, 1], "step": 194, "ordinal_position": 195}, {"identifier": "G80", "position": [3, 1], "step": 195, "ordinal_position": 196}, {"identifier": "H94", "position": [3, 2], "step": 196, "ordinal_position": 197}, {"identifier": "H17", "position": [3, 3], "step": 197, "ordinal_position": 198}, {"identifier": "A54", "position": [2, 3], "step": 198, "ordinal_position": 199}, {"identifier": "M22", "position": [1, 3], "step": 199, "ordinal_position": 200}, {"identifier": "G58", "position": [1, 2], "step": 200, "ordinal_position": 201}, {"identifier": "C92", "position": [1, 1], "step": 201, "ordinal_position": 202}, {"identifier": "K43", "position": [2, 1], "step": 202, "ordinal_position": 203}, {"identifier": "G80", "position": [3, 1], "step": 203, "ordinal_position": 204}, {"identifier": "H94", "position": [3, 2], "step": 204, "ordinal_position": 205}, {"identifier": "H17", "position": [3, 3], "step": 205, "ordinal_position": 206}, {"identifier": "A54", "position": [2, 3], "step": 206, "ordinal_position": 207}, {"identifier": "M22", "position": [1, 3], "step": 207, "ordinal_position": 208}, {"identifier": "G58", "position": [1, 2], "step": 208, "ordinal_position": 209}, {"identifier": "C92", "position": [1, 1], "step": 209, "ordinal_position": 210}, {"identifier": "K43", "position": [2, 1], "step": 210, "ordinal_position": 211}, {"identifier": "G80", "position": [3, 1], "step": 211, "ordinal_position": 212}, {"identifier": "H94", "position": [3, 2], "step": 212, "ordinal_position": 213}, {"identifier": "H17", "position": [3, 3], "step": 213, "ordinal_position": 214}, {"identifier": "A54", "position": [2, 3], "step": 214, "ordinal_position": 215}, {"identifier": "M22", "position": [1, 3], "step": 215, "ordinal_position": 216}, {"identifier": "G58", "position": [1, 2], "step": 216, "ordinal_position": 217}, {"identifier": "C92", "position": [1, 1], "step": 217, "ordinal_position": 218}, {"identifier": "K43", "position": [2, 1], "step": 218, "ordinal_position": 219}, {"identifier": "G80", "position": [3, 1], "step": 219, "ordinal_position": 220}, {"identifier": "H94", "position": [3, 2], "step": 220, "ordinal_position": 221}, {"identifier": "H17", "position": [3, 3], "step": 221, "ordinal_position": 222}, {"identifier": "A54", "position": [2, 3], "step": 222, "ordinal_position": 223}, {"identifier": "M22", "position": [1, 3], "step": 223, "ordinal_position": 224}, {"identifier": "G58", "position": [1, 2], "step": 224, "ordinal_position": 225}, {"identifier": "C92", "position": [1, 1], "step": 225, "ordinal_position": 226}, {"identifier": "K43", "position": [2, 1], "step": 226, "ordinal_position": 227}, {"identifier": "G80", "position": [3, 1], "step": 227, "ordinal_position": 228}, {"identifier": "H94", "position": [3, 2], "step": 228, "ordinal_position": 229}, {"identifier": "H17", "position": [3, 3], "step": 229, "ordinal_position": 230}, {"identifier": "A54", "position": [2, 3], "step": 230, "ordinal_position": 231}, {"identifier": "M22", "position": [1, 3], "step": 231, "ordinal_position": 232}, {"identifier": "G58", "position": [1, 2], "step": 232, "ordinal_position": 233}, {"identifier": "C92", "position": [1, 1], "step": 233, "ordinal_position": 234}, {"identifier": "K43", "position": [2, 1], "step": 234, "ordinal_position": 235}, {"identifier": "G80", "position": [3, 1], "step": 235, "ordinal_position": 236}, {"identifier": "H94", "position": [3, 2], "step": 236, "ordinal_position": 237}, {"identifier": "H17", "position": [3, 3], "step": 237, "ordinal_position": 238}, {"identifier": "A54", "position": [2, 3], "step": 238, "ordinal_position": 239}, {"identifier": "M22", "position": [1, 3], "step": 239, "ordinal_position": 240}, {"identifier": "G58", "position": [1, 2], "step": 240, "ordinal_position": 241}, {"identifier": "C92", "position": [1, 1], "step": 241, "ordinal_position": 242}, {"identifier": "K43", "position": [2, 1], "step": 242, "ordinal_position": 243}, {"identifier": "G80", "position": [3, 1], "step": 243, "ordinal_position": 244}, {"identifier": "H94", "position": [3, 2], "step": 244, "ordinal_position": 245}, {"identifier": "H17", "position": [3, 3], "step": 245, "ordinal_position": 246}, {"identifier": "A54", "position": [2, 3], "step": 246, "ordinal_position": 247}, {"identifier": "M22", "position": [1, 3], "step": 247, "ordinal_position": 248}, {"identifier": "G58", "position": [1, 2], "step": 248, "ordinal_position": 249}, {"identifier": "C92", "position": [1, 1], "step": 249, "ordinal_position": 250}, {"identifier": "K43", "position": [2, 1], "step": 250, "ordinal_position": 251}, {"identifier": "G80", "position": [3, 1], "step": 251, "ordinal_position": 252}, {"identifier": "H94", "position": [3, 2], "step": 252, "ordinal_position": 253}, {"identifier": "H17", "position": [3, 3], "step": 253, "ordinal_position": 254}, {"identifier": "A54", "position": [2, 3], "step": 254, "ordinal_position": 255}, {"identifier": "M22", "position": [1, 3], "step": 255, "ordinal_position": 256}, {"identifier": "G58", "position": [1, 2], "step": 256, "ordinal_position": 257}, {"identifier": "C92", "position": [1, 1], "step": 257, "ordinal_position": 258}, {"identifier": "K43", "position": [2, 1], "step": 258, "ordinal_position": 259}, {"identifier": "G80", "position": [3, 1], "step": 259, "ordinal_position": 260}, {"identifier": "H94", "position": [3, 2], "step": 260, "ordinal_position": 261}, {"identifier": "H17", "position": [3, 3], "step": 261, "ordinal_position": 262}, {"identifier": "A54", "position": [2, 3], "step": 262, "ordinal_position": 263}, {"identifier": "M22", "position": [1, 3], "step": 263, "ordinal_position": 264}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 264, "direction": "down", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_008.json"}} {"qa_id": "806cec9e91dc4a00b19986fd39fcd5b2", "image_id": "L3-MazeLoop-test_11x11_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O57, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 181st position in this traversal?", "start_object_id": "O57", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [181], "ordinal_strings": ["181st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "O57", "traversal_path": [{"identifier": "O57", "position": [3, 8], "step": 0, "ordinal_position": 1}, {"identifier": "J00", "position": [3, 7], "step": 1, "ordinal_position": 2}, {"identifier": "U78", "position": [4, 7], "step": 2, "ordinal_position": 3}, {"identifier": "X71", "position": [5, 7], "step": 3, "ordinal_position": 4}, {"identifier": "G48", "position": [5, 8], "step": 4, "ordinal_position": 5}, {"identifier": "A48", "position": [5, 9], "step": 5, "ordinal_position": 6}, {"identifier": "Q23", "position": [6, 9], "step": 6, "ordinal_position": 7}, {"identifier": "O05", "position": [7, 9], "step": 7, "ordinal_position": 8}, {"identifier": "F52", "position": [8, 9], "step": 8, "ordinal_position": 9}, {"identifier": "X93", "position": [9, 9], "step": 9, "ordinal_position": 10}, {"identifier": "B04", "position": [9, 8], "step": 10, "ordinal_position": 11}, {"identifier": "R45", "position": [9, 7], "step": 11, "ordinal_position": 12}, {"identifier": "U01", "position": [9, 6], "step": 12, "ordinal_position": 13}, {"identifier": "B37", "position": [9, 5], "step": 13, "ordinal_position": 14}, {"identifier": "U88", "position": [9, 4], "step": 14, "ordinal_position": 15}, {"identifier": "W82", "position": [9, 3], "step": 15, "ordinal_position": 16}, {"identifier": "I26", "position": [9, 2], "step": 16, "ordinal_position": 17}, {"identifier": "W32", "position": [9, 1], "step": 17, "ordinal_position": 18}, {"identifier": "S68", "position": [8, 1], "step": 18, "ordinal_position": 19}, {"identifier": "E76", "position": [7, 1], "step": 19, "ordinal_position": 20}, {"identifier": "S23", "position": [6, 1], "step": 20, "ordinal_position": 21}, {"identifier": "I09", "position": [5, 1], "step": 21, "ordinal_position": 22}, {"identifier": "D99", "position": [5, 2], "step": 22, "ordinal_position": 23}, {"identifier": "M85", "position": [5, 3], "step": 23, "ordinal_position": 24}, {"identifier": "V65", "position": [4, 3], "step": 24, "ordinal_position": 25}, {"identifier": "H17", "position": [3, 3], "step": 25, "ordinal_position": 26}, {"identifier": "A54", "position": [2, 3], "step": 26, "ordinal_position": 27}, {"identifier": "M22", "position": [1, 3], "step": 27, "ordinal_position": 28}, {"identifier": "U62", "position": [1, 4], "step": 28, "ordinal_position": 29}, {"identifier": "E77", "position": [1, 5], "step": 29, "ordinal_position": 30}, {"identifier": "R07", "position": [1, 6], "step": 30, "ordinal_position": 31}, {"identifier": "M64", "position": [1, 7], "step": 31, "ordinal_position": 32}, {"identifier": "J98", "position": [1, 8], "step": 32, "ordinal_position": 33}, {"identifier": "O09", "position": [1, 9], "step": 33, "ordinal_position": 34}, {"identifier": "U26", "position": [2, 9], "step": 34, "ordinal_position": 35}, {"identifier": "L64", "position": [3, 9], "step": 35, "ordinal_position": 36}, {"identifier": "O57", "position": [3, 8], "step": 36, "ordinal_position": 37}, {"identifier": "J00", "position": [3, 7], "step": 37, "ordinal_position": 38}, {"identifier": "U78", "position": [4, 7], "step": 38, "ordinal_position": 39}, {"identifier": "X71", "position": [5, 7], "step": 39, "ordinal_position": 40}, {"identifier": "G48", "position": [5, 8], "step": 40, "ordinal_position": 41}, {"identifier": "A48", "position": [5, 9], "step": 41, "ordinal_position": 42}, {"identifier": "Q23", "position": [6, 9], "step": 42, "ordinal_position": 43}, {"identifier": "O05", "position": [7, 9], "step": 43, "ordinal_position": 44}, {"identifier": "F52", "position": [8, 9], "step": 44, "ordinal_position": 45}, {"identifier": "X93", "position": [9, 9], "step": 45, "ordinal_position": 46}, {"identifier": "B04", "position": [9, 8], "step": 46, "ordinal_position": 47}, {"identifier": "R45", "position": [9, 7], "step": 47, "ordinal_position": 48}, {"identifier": "U01", "position": [9, 6], "step": 48, "ordinal_position": 49}, {"identifier": "B37", "position": [9, 5], "step": 49, "ordinal_position": 50}, {"identifier": "U88", "position": [9, 4], "step": 50, "ordinal_position": 51}, {"identifier": "W82", "position": [9, 3], "step": 51, "ordinal_position": 52}, {"identifier": "I26", "position": [9, 2], "step": 52, "ordinal_position": 53}, {"identifier": "W32", "position": [9, 1], "step": 53, "ordinal_position": 54}, {"identifier": "S68", "position": [8, 1], "step": 54, "ordinal_position": 55}, {"identifier": "E76", "position": [7, 1], "step": 55, "ordinal_position": 56}, {"identifier": "S23", "position": [6, 1], "step": 56, "ordinal_position": 57}, {"identifier": "I09", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "D99", "position": [5, 2], "step": 58, "ordinal_position": 59}, {"identifier": "M85", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "V65", "position": [4, 3], "step": 60, "ordinal_position": 61}, {"identifier": "H17", "position": [3, 3], "step": 61, "ordinal_position": 62}, {"identifier": "A54", "position": [2, 3], "step": 62, "ordinal_position": 63}, {"identifier": "M22", "position": [1, 3], "step": 63, "ordinal_position": 64}, {"identifier": "U62", "position": [1, 4], "step": 64, "ordinal_position": 65}, {"identifier": "E77", "position": [1, 5], "step": 65, "ordinal_position": 66}, {"identifier": "R07", "position": [1, 6], "step": 66, "ordinal_position": 67}, {"identifier": "M64", "position": [1, 7], "step": 67, "ordinal_position": 68}, {"identifier": "J98", "position": [1, 8], "step": 68, "ordinal_position": 69}, {"identifier": "O09", "position": [1, 9], "step": 69, "ordinal_position": 70}, {"identifier": "U26", "position": [2, 9], "step": 70, "ordinal_position": 71}, {"identifier": "L64", "position": [3, 9], "step": 71, "ordinal_position": 72}, {"identifier": "O57", "position": [3, 8], "step": 72, "ordinal_position": 73}, {"identifier": "J00", "position": [3, 7], "step": 73, "ordinal_position": 74}, {"identifier": "U78", "position": [4, 7], "step": 74, "ordinal_position": 75}, {"identifier": "X71", "position": [5, 7], "step": 75, "ordinal_position": 76}, {"identifier": "G48", "position": [5, 8], "step": 76, "ordinal_position": 77}, {"identifier": "A48", "position": [5, 9], "step": 77, "ordinal_position": 78}, {"identifier": "Q23", "position": [6, 9], "step": 78, "ordinal_position": 79}, {"identifier": "O05", "position": [7, 9], "step": 79, "ordinal_position": 80}, {"identifier": "F52", "position": [8, 9], "step": 80, "ordinal_position": 81}, {"identifier": "X93", "position": [9, 9], "step": 81, "ordinal_position": 82}, {"identifier": "B04", "position": [9, 8], "step": 82, "ordinal_position": 83}, {"identifier": "R45", "position": [9, 7], "step": 83, "ordinal_position": 84}, {"identifier": "U01", "position": [9, 6], "step": 84, "ordinal_position": 85}, {"identifier": "B37", "position": [9, 5], "step": 85, "ordinal_position": 86}, {"identifier": "U88", "position": [9, 4], "step": 86, "ordinal_position": 87}, {"identifier": "W82", "position": [9, 3], "step": 87, "ordinal_position": 88}, {"identifier": "I26", "position": [9, 2], "step": 88, "ordinal_position": 89}, {"identifier": "W32", "position": [9, 1], "step": 89, "ordinal_position": 90}, {"identifier": "S68", "position": [8, 1], "step": 90, "ordinal_position": 91}, {"identifier": "E76", "position": [7, 1], "step": 91, "ordinal_position": 92}, {"identifier": "S23", "position": [6, 1], "step": 92, "ordinal_position": 93}, {"identifier": "I09", "position": [5, 1], "step": 93, "ordinal_position": 94}, {"identifier": "D99", "position": [5, 2], "step": 94, "ordinal_position": 95}, {"identifier": "M85", "position": [5, 3], "step": 95, "ordinal_position": 96}, {"identifier": "V65", "position": [4, 3], "step": 96, "ordinal_position": 97}, {"identifier": "H17", "position": [3, 3], "step": 97, "ordinal_position": 98}, {"identifier": "A54", "position": [2, 3], "step": 98, "ordinal_position": 99}, {"identifier": "M22", "position": [1, 3], "step": 99, "ordinal_position": 100}, {"identifier": "U62", "position": [1, 4], "step": 100, "ordinal_position": 101}, {"identifier": "E77", "position": [1, 5], "step": 101, "ordinal_position": 102}, {"identifier": "R07", "position": [1, 6], "step": 102, "ordinal_position": 103}, {"identifier": "M64", "position": [1, 7], "step": 103, "ordinal_position": 104}, {"identifier": "J98", "position": [1, 8], "step": 104, "ordinal_position": 105}, {"identifier": "O09", "position": [1, 9], "step": 105, "ordinal_position": 106}, {"identifier": "U26", "position": [2, 9], "step": 106, "ordinal_position": 107}, {"identifier": "L64", "position": [3, 9], "step": 107, "ordinal_position": 108}, {"identifier": "O57", "position": [3, 8], "step": 108, "ordinal_position": 109}, {"identifier": "J00", "position": [3, 7], "step": 109, "ordinal_position": 110}, {"identifier": "U78", "position": [4, 7], "step": 110, "ordinal_position": 111}, {"identifier": "X71", "position": [5, 7], "step": 111, "ordinal_position": 112}, {"identifier": "G48", "position": [5, 8], "step": 112, "ordinal_position": 113}, {"identifier": "A48", "position": [5, 9], "step": 113, "ordinal_position": 114}, {"identifier": "Q23", "position": [6, 9], "step": 114, "ordinal_position": 115}, {"identifier": "O05", "position": [7, 9], "step": 115, "ordinal_position": 116}, {"identifier": "F52", "position": [8, 9], "step": 116, "ordinal_position": 117}, {"identifier": "X93", "position": [9, 9], "step": 117, "ordinal_position": 118}, {"identifier": "B04", "position": [9, 8], "step": 118, "ordinal_position": 119}, {"identifier": "R45", "position": [9, 7], "step": 119, "ordinal_position": 120}, {"identifier": "U01", "position": [9, 6], "step": 120, "ordinal_position": 121}, {"identifier": "B37", "position": [9, 5], "step": 121, "ordinal_position": 122}, {"identifier": "U88", "position": [9, 4], "step": 122, "ordinal_position": 123}, {"identifier": "W82", "position": [9, 3], "step": 123, "ordinal_position": 124}, {"identifier": "I26", "position": [9, 2], "step": 124, "ordinal_position": 125}, {"identifier": "W32", "position": [9, 1], "step": 125, "ordinal_position": 126}, {"identifier": "S68", "position": [8, 1], "step": 126, "ordinal_position": 127}, {"identifier": "E76", "position": [7, 1], "step": 127, "ordinal_position": 128}, {"identifier": "S23", "position": [6, 1], "step": 128, "ordinal_position": 129}, {"identifier": "I09", "position": [5, 1], "step": 129, "ordinal_position": 130}, {"identifier": "D99", "position": [5, 2], "step": 130, "ordinal_position": 131}, {"identifier": "M85", "position": [5, 3], "step": 131, "ordinal_position": 132}, {"identifier": "V65", "position": [4, 3], "step": 132, "ordinal_position": 133}, {"identifier": "H17", "position": [3, 3], "step": 133, "ordinal_position": 134}, {"identifier": "A54", "position": [2, 3], "step": 134, "ordinal_position": 135}, {"identifier": "M22", "position": [1, 3], "step": 135, "ordinal_position": 136}, {"identifier": "U62", "position": [1, 4], "step": 136, "ordinal_position": 137}, {"identifier": "E77", "position": [1, 5], "step": 137, "ordinal_position": 138}, {"identifier": "R07", "position": [1, 6], "step": 138, "ordinal_position": 139}, {"identifier": "M64", "position": [1, 7], "step": 139, "ordinal_position": 140}, {"identifier": "J98", "position": [1, 8], "step": 140, "ordinal_position": 141}, {"identifier": "O09", "position": [1, 9], "step": 141, "ordinal_position": 142}, {"identifier": "U26", "position": [2, 9], "step": 142, "ordinal_position": 143}, {"identifier": "L64", "position": [3, 9], "step": 143, "ordinal_position": 144}, {"identifier": "O57", "position": [3, 8], "step": 144, "ordinal_position": 145}, {"identifier": "J00", "position": [3, 7], "step": 145, "ordinal_position": 146}, {"identifier": "U78", "position": [4, 7], "step": 146, "ordinal_position": 147}, {"identifier": "X71", "position": [5, 7], "step": 147, "ordinal_position": 148}, {"identifier": "G48", "position": [5, 8], "step": 148, "ordinal_position": 149}, {"identifier": "A48", "position": [5, 9], "step": 149, "ordinal_position": 150}, {"identifier": "Q23", "position": [6, 9], "step": 150, "ordinal_position": 151}, {"identifier": "O05", "position": [7, 9], "step": 151, "ordinal_position": 152}, {"identifier": "F52", "position": [8, 9], "step": 152, "ordinal_position": 153}, {"identifier": "X93", "position": [9, 9], "step": 153, "ordinal_position": 154}, {"identifier": "B04", "position": [9, 8], "step": 154, "ordinal_position": 155}, {"identifier": "R45", "position": [9, 7], "step": 155, "ordinal_position": 156}, {"identifier": "U01", "position": [9, 6], "step": 156, "ordinal_position": 157}, {"identifier": "B37", "position": [9, 5], "step": 157, "ordinal_position": 158}, {"identifier": "U88", "position": [9, 4], "step": 158, "ordinal_position": 159}, {"identifier": "W82", "position": [9, 3], "step": 159, "ordinal_position": 160}, {"identifier": "I26", "position": [9, 2], "step": 160, "ordinal_position": 161}, {"identifier": "W32", "position": [9, 1], "step": 161, "ordinal_position": 162}, {"identifier": "S68", "position": [8, 1], "step": 162, "ordinal_position": 163}, {"identifier": "E76", "position": [7, 1], "step": 163, "ordinal_position": 164}, {"identifier": "S23", "position": [6, 1], "step": 164, "ordinal_position": 165}, {"identifier": "I09", "position": [5, 1], "step": 165, "ordinal_position": 166}, {"identifier": "D99", "position": [5, 2], "step": 166, "ordinal_position": 167}, {"identifier": "M85", "position": [5, 3], "step": 167, "ordinal_position": 168}, {"identifier": "V65", "position": [4, 3], "step": 168, "ordinal_position": 169}, {"identifier": "H17", "position": [3, 3], "step": 169, "ordinal_position": 170}, {"identifier": "A54", "position": [2, 3], "step": 170, "ordinal_position": 171}, {"identifier": "M22", "position": [1, 3], "step": 171, "ordinal_position": 172}, {"identifier": "U62", "position": [1, 4], "step": 172, "ordinal_position": 173}, {"identifier": "E77", "position": [1, 5], "step": 173, "ordinal_position": 174}, {"identifier": "R07", "position": [1, 6], "step": 174, "ordinal_position": 175}, {"identifier": "M64", "position": [1, 7], "step": 175, "ordinal_position": 176}, {"identifier": "J98", "position": [1, 8], "step": 176, "ordinal_position": 177}, {"identifier": "O09", "position": [1, 9], "step": 177, "ordinal_position": 178}, {"identifier": "U26", "position": [2, 9], "step": 178, "ordinal_position": 179}, {"identifier": "L64", "position": [3, 9], "step": 179, "ordinal_position": 180}, {"identifier": "O57", "position": [3, 8], "step": 180, "ordinal_position": 181}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 181, "direction": "up", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_008.json"}} {"qa_id": "619a2e9692314cf0b83802b1e50e9adc", "image_id": "L3-MazeLoop-test_11x11_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F45, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "F45", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "I09", "traversal_path": [{"identifier": "F45", "position": [8, 3], "step": 0, "ordinal_position": 1}, {"identifier": "X74", "position": [7, 3], "step": 1, "ordinal_position": 2}, {"identifier": "C81", "position": [7, 2], "step": 2, "ordinal_position": 3}, {"identifier": "W01", "position": [7, 1], "step": 3, "ordinal_position": 4}, {"identifier": "U34", "position": [8, 1], "step": 4, "ordinal_position": 5}, {"identifier": "O22", "position": [9, 1], "step": 5, "ordinal_position": 6}, {"identifier": "X46", "position": [9, 2], "step": 6, "ordinal_position": 7}, {"identifier": "I09", "position": [9, 3], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 8, "direction": "left", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_009.json"}} {"qa_id": "1a279c94d6bd4e9995325aa874bc7536", "image_id": "L3-MazeLoop-test_11x11_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D42, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "D42", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "I09", "traversal_path": [{"identifier": "D42", "position": [8, 9], "step": 0, "ordinal_position": 1}, {"identifier": "B76", "position": [9, 9], "step": 1, "ordinal_position": 2}, {"identifier": "E58", "position": [9, 8], "step": 2, "ordinal_position": 3}, {"identifier": "A33", "position": [9, 7], "step": 3, "ordinal_position": 4}, {"identifier": "R39", "position": [9, 6], "step": 4, "ordinal_position": 5}, {"identifier": "J69", "position": [9, 5], "step": 5, "ordinal_position": 6}, {"identifier": "X92", "position": [9, 4], "step": 6, "ordinal_position": 7}, {"identifier": "I09", "position": [9, 3], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 8, "direction": "right", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_009.json"}} {"qa_id": "781f3eca730942f29a6e878735035177", "image_id": "L3-MazeLoop-test_11x11_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W73, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 11th position in this traversal?", "start_object_id": "W73", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [11], "ordinal_strings": ["11th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "D42", "traversal_path": [{"identifier": "W73", "position": [2, 7], "step": 0, "ordinal_position": 1}, {"identifier": "Q48", "position": [1, 7], "step": 1, "ordinal_position": 2}, {"identifier": "D82", "position": [1, 8], "step": 2, "ordinal_position": 3}, {"identifier": "G62", "position": [1, 9], "step": 3, "ordinal_position": 4}, {"identifier": "N52", "position": [2, 9], "step": 4, "ordinal_position": 5}, {"identifier": "R20", "position": [3, 9], "step": 5, "ordinal_position": 6}, {"identifier": "Y44", "position": [4, 9], "step": 6, "ordinal_position": 7}, {"identifier": "U51", "position": [5, 9], "step": 7, "ordinal_position": 8}, {"identifier": "I31", "position": [6, 9], "step": 8, "ordinal_position": 9}, {"identifier": "A15", "position": [7, 9], "step": 9, "ordinal_position": 10}, {"identifier": "D42", "position": [8, 9], "step": 10, "ordinal_position": 11}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 11, "direction": "left", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_009.json"}} {"qa_id": "9b2c84c508ad4ee6b84a12a3a8d8e441", "image_id": "L3-MazeLoop-test_11x11_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C21, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "C21", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "D47", "traversal_path": [{"identifier": "C21", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "Q30", "position": [3, 4], "step": 1, "ordinal_position": 2}, {"identifier": "E96", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "D47", "position": [2, 5], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 4, "direction": "down", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_009.json"}} {"qa_id": "9838dabb9bce4d9f8007441749636d40", "image_id": "L3-MazeLoop-test_11x11_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O22, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "O22", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "B40", "traversal_path": [{"identifier": "O22", "position": [9, 1], "step": 0, "ordinal_position": 1}, {"identifier": "U34", "position": [8, 1], "step": 1, "ordinal_position": 2}, {"identifier": "W01", "position": [7, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Z03", "position": [6, 1], "step": 3, "ordinal_position": 4}, {"identifier": "H06", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Y94", "position": [4, 1], "step": 5, "ordinal_position": 6}, {"identifier": "B40", "position": [3, 1], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 7, "direction": "left", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_009.json"}} {"qa_id": "455c88d59aea4cf8a3e59bac9d84d154", "image_id": "L3-MazeLoop-test_11x11_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D55, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 28th position in this traversal?", "start_object_id": "D55", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [28], "ordinal_strings": ["28th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "I09", "traversal_path": [{"identifier": "D55", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "H06", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Y94", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "B40", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "B68", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Y17", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "I11", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "A71", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "V38", "position": [1, 4], "step": 8, "ordinal_position": 9}, {"identifier": "X56", "position": [1, 5], "step": 9, "ordinal_position": 10}, {"identifier": "X70", "position": [1, 6], "step": 10, "ordinal_position": 11}, {"identifier": "Q48", "position": [1, 7], "step": 11, "ordinal_position": 12}, {"identifier": "D82", "position": [1, 8], "step": 12, "ordinal_position": 13}, {"identifier": "G62", "position": [1, 9], "step": 13, "ordinal_position": 14}, {"identifier": "N52", "position": [2, 9], "step": 14, "ordinal_position": 15}, {"identifier": "R20", "position": [3, 9], "step": 15, "ordinal_position": 16}, {"identifier": "Y44", "position": [4, 9], "step": 16, "ordinal_position": 17}, {"identifier": "U51", "position": [5, 9], "step": 17, "ordinal_position": 18}, {"identifier": "I31", "position": [6, 9], "step": 18, "ordinal_position": 19}, {"identifier": "A15", "position": [7, 9], "step": 19, "ordinal_position": 20}, {"identifier": "D42", "position": [8, 9], "step": 20, "ordinal_position": 21}, {"identifier": "B76", "position": [9, 9], "step": 21, "ordinal_position": 22}, {"identifier": "E58", "position": [9, 8], "step": 22, "ordinal_position": 23}, {"identifier": "A33", "position": [9, 7], "step": 23, "ordinal_position": 24}, {"identifier": "R39", "position": [9, 6], "step": 24, "ordinal_position": 25}, {"identifier": "J69", "position": [9, 5], "step": 25, "ordinal_position": 26}, {"identifier": "X92", "position": [9, 4], "step": 26, "ordinal_position": 27}, {"identifier": "I09", "position": [9, 3], "step": 27, "ordinal_position": 28}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 28, "direction": "up", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_009.json"}} {"qa_id": "bec1a2278c5746f28598e9a5b60cd53c", "image_id": "L3-MazeLoop-test_11x11_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y83, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 79th position in this traversal?", "start_object_id": "Y83", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [79], "ordinal_strings": ["79th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q48", "traversal_path": [{"identifier": "Y83", "position": [5, 5], "step": 0, "ordinal_position": 1}, {"identifier": "G11", "position": [6, 5], "step": 1, "ordinal_position": 2}, {"identifier": "S48", "position": [7, 5], "step": 2, "ordinal_position": 3}, {"identifier": "L05", "position": [7, 6], "step": 3, "ordinal_position": 4}, {"identifier": "W10", "position": [7, 7], "step": 4, "ordinal_position": 5}, {"identifier": "X15", "position": [7, 8], "step": 5, "ordinal_position": 6}, {"identifier": "A15", "position": [7, 9], "step": 6, "ordinal_position": 7}, {"identifier": "I31", "position": [6, 9], "step": 7, "ordinal_position": 8}, {"identifier": "U51", "position": [5, 9], "step": 8, "ordinal_position": 9}, {"identifier": "Y44", "position": [4, 9], "step": 9, "ordinal_position": 10}, {"identifier": "R20", "position": [3, 9], "step": 10, "ordinal_position": 11}, {"identifier": "N52", "position": [2, 9], "step": 11, "ordinal_position": 12}, {"identifier": "G62", "position": [1, 9], "step": 12, "ordinal_position": 13}, {"identifier": "D82", "position": [1, 8], "step": 13, "ordinal_position": 14}, {"identifier": "Q48", "position": [1, 7], "step": 14, "ordinal_position": 15}, {"identifier": "X70", "position": [1, 6], "step": 15, "ordinal_position": 16}, {"identifier": "X56", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "V38", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "A71", "position": [1, 3], "step": 18, "ordinal_position": 19}, {"identifier": "I11", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "Y17", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "B68", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "B40", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Y94", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "H06", "position": [5, 1], "step": 24, "ordinal_position": 25}, {"identifier": "Z03", "position": [6, 1], "step": 25, "ordinal_position": 26}, {"identifier": "W01", "position": [7, 1], "step": 26, "ordinal_position": 27}, {"identifier": "U34", "position": [8, 1], "step": 27, "ordinal_position": 28}, {"identifier": "O22", "position": [9, 1], "step": 28, "ordinal_position": 29}, {"identifier": "X46", "position": [9, 2], "step": 29, "ordinal_position": 30}, {"identifier": "I09", "position": [9, 3], "step": 30, "ordinal_position": 31}, {"identifier": "X92", "position": [9, 4], "step": 31, "ordinal_position": 32}, {"identifier": "J69", "position": [9, 5], "step": 32, "ordinal_position": 33}, {"identifier": "R39", "position": [9, 6], "step": 33, "ordinal_position": 34}, {"identifier": "A33", "position": [9, 7], "step": 34, "ordinal_position": 35}, {"identifier": "E58", "position": [9, 8], "step": 35, "ordinal_position": 36}, {"identifier": "B76", "position": [9, 9], "step": 36, "ordinal_position": 37}, {"identifier": "D42", "position": [8, 9], "step": 37, "ordinal_position": 38}, {"identifier": "A15", "position": [7, 9], "step": 38, "ordinal_position": 39}, {"identifier": "I31", "position": [6, 9], "step": 39, "ordinal_position": 40}, {"identifier": "U51", "position": [5, 9], "step": 40, "ordinal_position": 41}, {"identifier": "Y44", "position": [4, 9], "step": 41, "ordinal_position": 42}, {"identifier": "R20", "position": [3, 9], "step": 42, "ordinal_position": 43}, {"identifier": "N52", "position": [2, 9], "step": 43, "ordinal_position": 44}, {"identifier": "G62", "position": [1, 9], "step": 44, "ordinal_position": 45}, {"identifier": "D82", "position": [1, 8], "step": 45, "ordinal_position": 46}, {"identifier": "Q48", "position": [1, 7], "step": 46, "ordinal_position": 47}, {"identifier": "X70", "position": [1, 6], "step": 47, "ordinal_position": 48}, {"identifier": "X56", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "V38", "position": [1, 4], "step": 49, "ordinal_position": 50}, {"identifier": "A71", "position": [1, 3], "step": 50, "ordinal_position": 51}, {"identifier": "I11", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "Y17", "position": [1, 1], "step": 52, "ordinal_position": 53}, {"identifier": "B68", "position": [2, 1], "step": 53, "ordinal_position": 54}, {"identifier": "B40", "position": [3, 1], "step": 54, "ordinal_position": 55}, {"identifier": "Y94", "position": [4, 1], "step": 55, "ordinal_position": 56}, {"identifier": "H06", "position": [5, 1], "step": 56, "ordinal_position": 57}, {"identifier": "Z03", "position": [6, 1], "step": 57, "ordinal_position": 58}, {"identifier": "W01", "position": [7, 1], "step": 58, "ordinal_position": 59}, {"identifier": "U34", "position": [8, 1], "step": 59, "ordinal_position": 60}, {"identifier": "O22", "position": [9, 1], "step": 60, "ordinal_position": 61}, {"identifier": "X46", "position": [9, 2], "step": 61, "ordinal_position": 62}, {"identifier": "I09", "position": [9, 3], "step": 62, "ordinal_position": 63}, {"identifier": "X92", "position": [9, 4], "step": 63, "ordinal_position": 64}, {"identifier": "J69", "position": [9, 5], "step": 64, "ordinal_position": 65}, {"identifier": "R39", "position": [9, 6], "step": 65, "ordinal_position": 66}, {"identifier": "A33", "position": [9, 7], "step": 66, "ordinal_position": 67}, {"identifier": "E58", "position": [9, 8], "step": 67, "ordinal_position": 68}, {"identifier": "B76", "position": [9, 9], "step": 68, "ordinal_position": 69}, {"identifier": "D42", "position": [8, 9], "step": 69, "ordinal_position": 70}, {"identifier": "A15", "position": [7, 9], "step": 70, "ordinal_position": 71}, {"identifier": "I31", "position": [6, 9], "step": 71, "ordinal_position": 72}, {"identifier": "U51", "position": [5, 9], "step": 72, "ordinal_position": 73}, {"identifier": "Y44", "position": [4, 9], "step": 73, "ordinal_position": 74}, {"identifier": "R20", "position": [3, 9], "step": 74, "ordinal_position": 75}, {"identifier": "N52", "position": [2, 9], "step": 75, "ordinal_position": 76}, {"identifier": "G62", "position": [1, 9], "step": 76, "ordinal_position": 77}, {"identifier": "D82", "position": [1, 8], "step": 77, "ordinal_position": 78}, {"identifier": "Q48", "position": [1, 7], "step": 78, "ordinal_position": 79}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 79, "direction": "right", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_009.json"}} {"qa_id": "b0ce2f1fc0fd4ec5826f8412d9b0eb49", "image_id": "L3-MazeLoop-test_11x11_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N52, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 45th position in this traversal?", "start_object_id": "N52", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [45], "ordinal_strings": ["45th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Y94", "traversal_path": [{"identifier": "N52", "position": [2, 9], "step": 0, "ordinal_position": 1}, {"identifier": "G62", "position": [1, 9], "step": 1, "ordinal_position": 2}, {"identifier": "D82", "position": [1, 8], "step": 2, "ordinal_position": 3}, {"identifier": "Q48", "position": [1, 7], "step": 3, "ordinal_position": 4}, {"identifier": "X70", "position": [1, 6], "step": 4, "ordinal_position": 5}, {"identifier": "X56", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "V38", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "A71", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "I11", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "Y17", "position": [1, 1], "step": 9, "ordinal_position": 10}, {"identifier": "B68", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "B40", "position": [3, 1], "step": 11, "ordinal_position": 12}, {"identifier": "Y94", "position": [4, 1], "step": 12, "ordinal_position": 13}, {"identifier": "H06", "position": [5, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Z03", "position": [6, 1], "step": 14, "ordinal_position": 15}, {"identifier": "W01", "position": [7, 1], "step": 15, "ordinal_position": 16}, {"identifier": "U34", "position": [8, 1], "step": 16, "ordinal_position": 17}, {"identifier": "O22", "position": [9, 1], "step": 17, "ordinal_position": 18}, {"identifier": "X46", "position": [9, 2], "step": 18, "ordinal_position": 19}, {"identifier": "I09", "position": [9, 3], "step": 19, "ordinal_position": 20}, {"identifier": "X92", "position": [9, 4], "step": 20, "ordinal_position": 21}, {"identifier": "J69", "position": [9, 5], "step": 21, "ordinal_position": 22}, {"identifier": "R39", "position": [9, 6], "step": 22, "ordinal_position": 23}, {"identifier": "A33", "position": [9, 7], "step": 23, "ordinal_position": 24}, {"identifier": "E58", "position": [9, 8], "step": 24, "ordinal_position": 25}, {"identifier": "B76", "position": [9, 9], "step": 25, "ordinal_position": 26}, {"identifier": "D42", "position": [8, 9], "step": 26, "ordinal_position": 27}, {"identifier": "A15", "position": [7, 9], "step": 27, "ordinal_position": 28}, {"identifier": "I31", "position": [6, 9], "step": 28, "ordinal_position": 29}, {"identifier": "U51", "position": [5, 9], "step": 29, "ordinal_position": 30}, {"identifier": "Y44", "position": [4, 9], "step": 30, "ordinal_position": 31}, {"identifier": "R20", "position": [3, 9], "step": 31, "ordinal_position": 32}, {"identifier": "N52", "position": [2, 9], "step": 32, "ordinal_position": 33}, {"identifier": "G62", "position": [1, 9], "step": 33, "ordinal_position": 34}, {"identifier": "D82", "position": [1, 8], "step": 34, "ordinal_position": 35}, {"identifier": "Q48", "position": [1, 7], "step": 35, "ordinal_position": 36}, {"identifier": "X70", "position": [1, 6], "step": 36, "ordinal_position": 37}, {"identifier": "X56", "position": [1, 5], "step": 37, "ordinal_position": 38}, {"identifier": "V38", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "A71", "position": [1, 3], "step": 39, "ordinal_position": 40}, {"identifier": "I11", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "Y17", "position": [1, 1], "step": 41, "ordinal_position": 42}, {"identifier": "B68", "position": [2, 1], "step": 42, "ordinal_position": 43}, {"identifier": "B40", "position": [3, 1], "step": 43, "ordinal_position": 44}, {"identifier": "Y94", "position": [4, 1], "step": 44, "ordinal_position": 45}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 45, "direction": "left", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_009.json"}} {"qa_id": "6322a7d823d443189bd88af289970548", "image_id": "L3-MazeLoop-test_11x11_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X15, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 18th position in this traversal?", "start_object_id": "X15", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [18], "ordinal_strings": ["18th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "B40", "traversal_path": [{"identifier": "X15", "position": [7, 8], "step": 0, "ordinal_position": 1}, {"identifier": "A15", "position": [7, 9], "step": 1, "ordinal_position": 2}, {"identifier": "I31", "position": [6, 9], "step": 2, "ordinal_position": 3}, {"identifier": "U51", "position": [5, 9], "step": 3, "ordinal_position": 4}, {"identifier": "Y44", "position": [4, 9], "step": 4, "ordinal_position": 5}, {"identifier": "R20", "position": [3, 9], "step": 5, "ordinal_position": 6}, {"identifier": "N52", "position": [2, 9], "step": 6, "ordinal_position": 7}, {"identifier": "G62", "position": [1, 9], "step": 7, "ordinal_position": 8}, {"identifier": "D82", "position": [1, 8], "step": 8, "ordinal_position": 9}, {"identifier": "Q48", "position": [1, 7], "step": 9, "ordinal_position": 10}, {"identifier": "X70", "position": [1, 6], "step": 10, "ordinal_position": 11}, {"identifier": "X56", "position": [1, 5], "step": 11, "ordinal_position": 12}, {"identifier": "V38", "position": [1, 4], "step": 12, "ordinal_position": 13}, {"identifier": "A71", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "I11", "position": [1, 2], "step": 14, "ordinal_position": 15}, {"identifier": "Y17", "position": [1, 1], "step": 15, "ordinal_position": 16}, {"identifier": "B68", "position": [2, 1], "step": 16, "ordinal_position": 17}, {"identifier": "B40", "position": [3, 1], "step": 17, "ordinal_position": 18}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 18, "direction": "down", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_009.json"}} {"qa_id": "8aec8f73bfc842d4b1b31563f5cd3bcf", "image_id": "L3-MazeLoop-test_11x11_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D47, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 55th position in this traversal?", "start_object_id": "D47", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [55], "ordinal_strings": ["55th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U34", "traversal_path": [{"identifier": "D47", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "X56", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "X70", "position": [1, 6], "step": 2, "ordinal_position": 3}, {"identifier": "Q48", "position": [1, 7], "step": 3, "ordinal_position": 4}, {"identifier": "D82", "position": [1, 8], "step": 4, "ordinal_position": 5}, {"identifier": "G62", "position": [1, 9], "step": 5, "ordinal_position": 6}, {"identifier": "N52", "position": [2, 9], "step": 6, "ordinal_position": 7}, {"identifier": "R20", "position": [3, 9], "step": 7, "ordinal_position": 8}, {"identifier": "Y44", "position": [4, 9], "step": 8, "ordinal_position": 9}, {"identifier": "U51", "position": [5, 9], "step": 9, "ordinal_position": 10}, {"identifier": "I31", "position": [6, 9], "step": 10, "ordinal_position": 11}, {"identifier": "A15", "position": [7, 9], "step": 11, "ordinal_position": 12}, {"identifier": "D42", "position": [8, 9], "step": 12, "ordinal_position": 13}, {"identifier": "B76", "position": [9, 9], "step": 13, "ordinal_position": 14}, {"identifier": "E58", "position": [9, 8], "step": 14, "ordinal_position": 15}, {"identifier": "A33", "position": [9, 7], "step": 15, "ordinal_position": 16}, {"identifier": "R39", "position": [9, 6], "step": 16, "ordinal_position": 17}, {"identifier": "J69", "position": [9, 5], "step": 17, "ordinal_position": 18}, {"identifier": "X92", "position": [9, 4], "step": 18, "ordinal_position": 19}, {"identifier": "I09", "position": [9, 3], "step": 19, "ordinal_position": 20}, {"identifier": "X46", "position": [9, 2], "step": 20, "ordinal_position": 21}, {"identifier": "O22", "position": [9, 1], "step": 21, "ordinal_position": 22}, {"identifier": "U34", "position": [8, 1], "step": 22, "ordinal_position": 23}, {"identifier": "W01", "position": [7, 1], "step": 23, "ordinal_position": 24}, {"identifier": "Z03", "position": [6, 1], "step": 24, "ordinal_position": 25}, {"identifier": "H06", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "Y94", "position": [4, 1], "step": 26, "ordinal_position": 27}, {"identifier": "B40", "position": [3, 1], "step": 27, "ordinal_position": 28}, {"identifier": "B68", "position": [2, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Y17", "position": [1, 1], "step": 29, "ordinal_position": 30}, {"identifier": "I11", "position": [1, 2], "step": 30, "ordinal_position": 31}, {"identifier": "A71", "position": [1, 3], "step": 31, "ordinal_position": 32}, {"identifier": "V38", "position": [1, 4], "step": 32, "ordinal_position": 33}, {"identifier": "X56", "position": [1, 5], "step": 33, "ordinal_position": 34}, {"identifier": "X70", "position": [1, 6], "step": 34, "ordinal_position": 35}, {"identifier": "Q48", "position": [1, 7], "step": 35, "ordinal_position": 36}, {"identifier": "D82", "position": [1, 8], "step": 36, "ordinal_position": 37}, {"identifier": "G62", "position": [1, 9], "step": 37, "ordinal_position": 38}, {"identifier": "N52", "position": [2, 9], "step": 38, "ordinal_position": 39}, {"identifier": "R20", "position": [3, 9], "step": 39, "ordinal_position": 40}, {"identifier": "Y44", "position": [4, 9], "step": 40, "ordinal_position": 41}, {"identifier": "U51", "position": [5, 9], "step": 41, "ordinal_position": 42}, {"identifier": "I31", "position": [6, 9], "step": 42, "ordinal_position": 43}, {"identifier": "A15", "position": [7, 9], "step": 43, "ordinal_position": 44}, {"identifier": "D42", "position": [8, 9], "step": 44, "ordinal_position": 45}, {"identifier": "B76", "position": [9, 9], "step": 45, "ordinal_position": 46}, {"identifier": "E58", "position": [9, 8], "step": 46, "ordinal_position": 47}, {"identifier": "A33", "position": [9, 7], "step": 47, "ordinal_position": 48}, {"identifier": "R39", "position": [9, 6], "step": 48, "ordinal_position": 49}, {"identifier": "J69", "position": [9, 5], "step": 49, "ordinal_position": 50}, {"identifier": "X92", "position": [9, 4], "step": 50, "ordinal_position": 51}, {"identifier": "I09", "position": [9, 3], "step": 51, "ordinal_position": 52}, {"identifier": "X46", "position": [9, 2], "step": 52, "ordinal_position": 53}, {"identifier": "O22", "position": [9, 1], "step": 53, "ordinal_position": 54}, {"identifier": "U34", "position": [8, 1], "step": 54, "ordinal_position": 55}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 55, "direction": "left", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_009.json"}} {"qa_id": "1dea2d43b5d94079a337e86b421bfa6c", "image_id": "L3-MazeLoop-test_11x11_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U68, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 150th position in this traversal?", "start_object_id": "U68", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [150], "ordinal_strings": ["150th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "A71", "traversal_path": [{"identifier": "U68", "position": [4, 7], "step": 0, "ordinal_position": 1}, {"identifier": "O97", "position": [5, 7], "step": 1, "ordinal_position": 2}, {"identifier": "O98", "position": [5, 6], "step": 2, "ordinal_position": 3}, {"identifier": "Y83", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "G11", "position": [6, 5], "step": 4, "ordinal_position": 5}, {"identifier": "S48", "position": [7, 5], "step": 5, "ordinal_position": 6}, {"identifier": "L05", "position": [7, 6], "step": 6, "ordinal_position": 7}, {"identifier": "W10", "position": [7, 7], "step": 7, "ordinal_position": 8}, {"identifier": "X15", "position": [7, 8], "step": 8, "ordinal_position": 9}, {"identifier": "A15", "position": [7, 9], "step": 9, "ordinal_position": 10}, {"identifier": "I31", "position": [6, 9], "step": 10, "ordinal_position": 11}, {"identifier": "U51", "position": [5, 9], "step": 11, "ordinal_position": 12}, {"identifier": "Y44", "position": [4, 9], "step": 12, "ordinal_position": 13}, {"identifier": "R20", "position": [3, 9], "step": 13, "ordinal_position": 14}, {"identifier": "N52", "position": [2, 9], "step": 14, "ordinal_position": 15}, {"identifier": "G62", "position": [1, 9], "step": 15, "ordinal_position": 16}, {"identifier": "D82", "position": [1, 8], "step": 16, "ordinal_position": 17}, {"identifier": "Q48", "position": [1, 7], "step": 17, "ordinal_position": 18}, {"identifier": "X70", "position": [1, 6], "step": 18, "ordinal_position": 19}, {"identifier": "X56", "position": [1, 5], "step": 19, "ordinal_position": 20}, {"identifier": "V38", "position": [1, 4], "step": 20, "ordinal_position": 21}, {"identifier": "A71", "position": [1, 3], "step": 21, "ordinal_position": 22}, {"identifier": "I11", "position": [1, 2], "step": 22, "ordinal_position": 23}, {"identifier": "Y17", "position": [1, 1], "step": 23, "ordinal_position": 24}, {"identifier": "B68", "position": [2, 1], "step": 24, "ordinal_position": 25}, {"identifier": "B40", "position": [3, 1], "step": 25, "ordinal_position": 26}, {"identifier": "Y94", "position": [4, 1], "step": 26, "ordinal_position": 27}, {"identifier": "H06", "position": [5, 1], "step": 27, "ordinal_position": 28}, {"identifier": "Z03", "position": [6, 1], "step": 28, "ordinal_position": 29}, {"identifier": "W01", "position": [7, 1], "step": 29, "ordinal_position": 30}, {"identifier": "U34", "position": [8, 1], "step": 30, "ordinal_position": 31}, {"identifier": "O22", "position": [9, 1], "step": 31, "ordinal_position": 32}, {"identifier": "X46", "position": [9, 2], "step": 32, "ordinal_position": 33}, {"identifier": "I09", "position": [9, 3], "step": 33, "ordinal_position": 34}, {"identifier": "X92", "position": [9, 4], "step": 34, "ordinal_position": 35}, {"identifier": "J69", "position": [9, 5], "step": 35, "ordinal_position": 36}, {"identifier": "R39", "position": [9, 6], "step": 36, "ordinal_position": 37}, {"identifier": "A33", "position": [9, 7], "step": 37, "ordinal_position": 38}, {"identifier": "E58", "position": [9, 8], "step": 38, "ordinal_position": 39}, {"identifier": "B76", "position": [9, 9], "step": 39, "ordinal_position": 40}, {"identifier": "D42", "position": [8, 9], "step": 40, "ordinal_position": 41}, {"identifier": "A15", "position": [7, 9], "step": 41, "ordinal_position": 42}, {"identifier": "I31", "position": [6, 9], "step": 42, "ordinal_position": 43}, {"identifier": "U51", "position": [5, 9], "step": 43, "ordinal_position": 44}, {"identifier": "Y44", "position": [4, 9], "step": 44, "ordinal_position": 45}, {"identifier": "R20", "position": [3, 9], "step": 45, "ordinal_position": 46}, {"identifier": "N52", "position": [2, 9], "step": 46, "ordinal_position": 47}, {"identifier": "G62", "position": [1, 9], "step": 47, "ordinal_position": 48}, {"identifier": "D82", "position": [1, 8], "step": 48, "ordinal_position": 49}, {"identifier": "Q48", "position": [1, 7], "step": 49, "ordinal_position": 50}, {"identifier": "X70", "position": [1, 6], "step": 50, "ordinal_position": 51}, {"identifier": "X56", "position": [1, 5], "step": 51, "ordinal_position": 52}, {"identifier": "V38", "position": [1, 4], "step": 52, "ordinal_position": 53}, {"identifier": "A71", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "I11", "position": [1, 2], "step": 54, "ordinal_position": 55}, {"identifier": "Y17", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "B68", "position": [2, 1], "step": 56, "ordinal_position": 57}, {"identifier": "B40", "position": [3, 1], "step": 57, "ordinal_position": 58}, {"identifier": "Y94", "position": [4, 1], "step": 58, "ordinal_position": 59}, {"identifier": "H06", "position": [5, 1], "step": 59, "ordinal_position": 60}, {"identifier": "Z03", "position": [6, 1], "step": 60, "ordinal_position": 61}, {"identifier": "W01", "position": [7, 1], "step": 61, "ordinal_position": 62}, {"identifier": "U34", "position": [8, 1], "step": 62, "ordinal_position": 63}, {"identifier": "O22", "position": [9, 1], "step": 63, "ordinal_position": 64}, {"identifier": "X46", "position": [9, 2], "step": 64, "ordinal_position": 65}, {"identifier": "I09", "position": [9, 3], "step": 65, "ordinal_position": 66}, {"identifier": "X92", "position": [9, 4], "step": 66, "ordinal_position": 67}, {"identifier": "J69", "position": [9, 5], "step": 67, "ordinal_position": 68}, {"identifier": "R39", "position": [9, 6], "step": 68, "ordinal_position": 69}, {"identifier": "A33", "position": [9, 7], "step": 69, "ordinal_position": 70}, {"identifier": "E58", "position": [9, 8], "step": 70, "ordinal_position": 71}, {"identifier": "B76", "position": [9, 9], "step": 71, "ordinal_position": 72}, {"identifier": "D42", "position": [8, 9], "step": 72, "ordinal_position": 73}, {"identifier": "A15", "position": [7, 9], "step": 73, "ordinal_position": 74}, {"identifier": "I31", "position": [6, 9], "step": 74, "ordinal_position": 75}, {"identifier": "U51", "position": [5, 9], "step": 75, "ordinal_position": 76}, {"identifier": "Y44", "position": [4, 9], "step": 76, "ordinal_position": 77}, {"identifier": "R20", "position": [3, 9], "step": 77, "ordinal_position": 78}, {"identifier": "N52", "position": [2, 9], "step": 78, "ordinal_position": 79}, {"identifier": "G62", "position": [1, 9], "step": 79, "ordinal_position": 80}, {"identifier": "D82", "position": [1, 8], "step": 80, "ordinal_position": 81}, {"identifier": "Q48", "position": [1, 7], "step": 81, "ordinal_position": 82}, {"identifier": "X70", "position": [1, 6], "step": 82, "ordinal_position": 83}, {"identifier": "X56", "position": [1, 5], "step": 83, "ordinal_position": 84}, {"identifier": "V38", "position": [1, 4], "step": 84, "ordinal_position": 85}, {"identifier": "A71", "position": [1, 3], "step": 85, "ordinal_position": 86}, {"identifier": "I11", "position": [1, 2], "step": 86, "ordinal_position": 87}, {"identifier": "Y17", "position": [1, 1], "step": 87, "ordinal_position": 88}, {"identifier": "B68", "position": [2, 1], "step": 88, "ordinal_position": 89}, {"identifier": "B40", "position": [3, 1], "step": 89, "ordinal_position": 90}, {"identifier": "Y94", "position": [4, 1], "step": 90, "ordinal_position": 91}, {"identifier": "H06", "position": [5, 1], "step": 91, "ordinal_position": 92}, {"identifier": "Z03", "position": [6, 1], "step": 92, "ordinal_position": 93}, {"identifier": "W01", "position": [7, 1], "step": 93, "ordinal_position": 94}, {"identifier": "U34", "position": [8, 1], "step": 94, "ordinal_position": 95}, {"identifier": "O22", "position": [9, 1], "step": 95, "ordinal_position": 96}, {"identifier": "X46", "position": [9, 2], "step": 96, "ordinal_position": 97}, {"identifier": "I09", "position": [9, 3], "step": 97, "ordinal_position": 98}, {"identifier": "X92", "position": [9, 4], "step": 98, "ordinal_position": 99}, {"identifier": "J69", "position": [9, 5], "step": 99, "ordinal_position": 100}, {"identifier": "R39", "position": [9, 6], "step": 100, "ordinal_position": 101}, {"identifier": "A33", "position": [9, 7], "step": 101, "ordinal_position": 102}, {"identifier": "E58", "position": [9, 8], "step": 102, "ordinal_position": 103}, {"identifier": "B76", "position": [9, 9], "step": 103, "ordinal_position": 104}, {"identifier": "D42", "position": [8, 9], "step": 104, "ordinal_position": 105}, {"identifier": "A15", "position": [7, 9], "step": 105, "ordinal_position": 106}, {"identifier": "I31", "position": [6, 9], "step": 106, "ordinal_position": 107}, {"identifier": "U51", "position": [5, 9], "step": 107, "ordinal_position": 108}, {"identifier": "Y44", "position": [4, 9], "step": 108, "ordinal_position": 109}, {"identifier": "R20", "position": [3, 9], "step": 109, "ordinal_position": 110}, {"identifier": "N52", "position": [2, 9], "step": 110, "ordinal_position": 111}, {"identifier": "G62", "position": [1, 9], "step": 111, "ordinal_position": 112}, {"identifier": "D82", "position": [1, 8], "step": 112, "ordinal_position": 113}, {"identifier": "Q48", "position": [1, 7], "step": 113, "ordinal_position": 114}, {"identifier": "X70", "position": [1, 6], "step": 114, "ordinal_position": 115}, {"identifier": "X56", "position": [1, 5], "step": 115, "ordinal_position": 116}, {"identifier": "V38", "position": [1, 4], "step": 116, "ordinal_position": 117}, {"identifier": "A71", "position": [1, 3], "step": 117, "ordinal_position": 118}, {"identifier": "I11", "position": [1, 2], "step": 118, "ordinal_position": 119}, {"identifier": "Y17", "position": [1, 1], "step": 119, "ordinal_position": 120}, {"identifier": "B68", "position": [2, 1], "step": 120, "ordinal_position": 121}, {"identifier": "B40", "position": [3, 1], "step": 121, "ordinal_position": 122}, {"identifier": "Y94", "position": [4, 1], "step": 122, "ordinal_position": 123}, {"identifier": "H06", "position": [5, 1], "step": 123, "ordinal_position": 124}, {"identifier": "Z03", "position": [6, 1], "step": 124, "ordinal_position": 125}, {"identifier": "W01", "position": [7, 1], "step": 125, "ordinal_position": 126}, {"identifier": "U34", "position": [8, 1], "step": 126, "ordinal_position": 127}, {"identifier": "O22", "position": [9, 1], "step": 127, "ordinal_position": 128}, {"identifier": "X46", "position": [9, 2], "step": 128, "ordinal_position": 129}, {"identifier": "I09", "position": [9, 3], "step": 129, "ordinal_position": 130}, {"identifier": "X92", "position": [9, 4], "step": 130, "ordinal_position": 131}, {"identifier": "J69", "position": [9, 5], "step": 131, "ordinal_position": 132}, {"identifier": "R39", "position": [9, 6], "step": 132, "ordinal_position": 133}, {"identifier": "A33", "position": [9, 7], "step": 133, "ordinal_position": 134}, {"identifier": "E58", "position": [9, 8], "step": 134, "ordinal_position": 135}, {"identifier": "B76", "position": [9, 9], "step": 135, "ordinal_position": 136}, {"identifier": "D42", "position": [8, 9], "step": 136, "ordinal_position": 137}, {"identifier": "A15", "position": [7, 9], "step": 137, "ordinal_position": 138}, {"identifier": "I31", "position": [6, 9], "step": 138, "ordinal_position": 139}, {"identifier": "U51", "position": [5, 9], "step": 139, "ordinal_position": 140}, {"identifier": "Y44", "position": [4, 9], "step": 140, "ordinal_position": 141}, {"identifier": "R20", "position": [3, 9], "step": 141, "ordinal_position": 142}, {"identifier": "N52", "position": [2, 9], "step": 142, "ordinal_position": 143}, {"identifier": "G62", "position": [1, 9], "step": 143, "ordinal_position": 144}, {"identifier": "D82", "position": [1, 8], "step": 144, "ordinal_position": 145}, {"identifier": "Q48", "position": [1, 7], "step": 145, "ordinal_position": 146}, {"identifier": "X70", "position": [1, 6], "step": 146, "ordinal_position": 147}, {"identifier": "X56", "position": [1, 5], "step": 147, "ordinal_position": 148}, {"identifier": "V38", "position": [1, 4], "step": 148, "ordinal_position": 149}, {"identifier": "A71", "position": [1, 3], "step": 149, "ordinal_position": 150}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 150, "direction": "right", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_009.json"}} {"qa_id": "bf6fab8bb6434b2c84a808f3f2ce2f45", "image_id": "L3-MazeLoop-test_11x11_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W10, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 247th position in this traversal?", "start_object_id": "W10", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [247], "ordinal_strings": ["247th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "A33", "traversal_path": [{"identifier": "W10", "position": [7, 7], "step": 0, "ordinal_position": 1}, {"identifier": "L05", "position": [7, 6], "step": 1, "ordinal_position": 2}, {"identifier": "S48", "position": [7, 5], "step": 2, "ordinal_position": 3}, {"identifier": "G11", "position": [6, 5], "step": 3, "ordinal_position": 4}, {"identifier": "Y83", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "O98", "position": [5, 6], "step": 5, "ordinal_position": 6}, {"identifier": "O97", "position": [5, 7], "step": 6, "ordinal_position": 7}, {"identifier": "U68", "position": [4, 7], "step": 7, "ordinal_position": 8}, {"identifier": "H87", "position": [3, 7], "step": 8, "ordinal_position": 9}, {"identifier": "W73", "position": [2, 7], "step": 9, "ordinal_position": 10}, {"identifier": "Q48", "position": [1, 7], "step": 10, "ordinal_position": 11}, {"identifier": "D82", "position": [1, 8], "step": 11, "ordinal_position": 12}, {"identifier": "G62", "position": [1, 9], "step": 12, "ordinal_position": 13}, {"identifier": "N52", "position": [2, 9], "step": 13, "ordinal_position": 14}, {"identifier": "R20", "position": [3, 9], "step": 14, "ordinal_position": 15}, {"identifier": "Y44", "position": [4, 9], "step": 15, "ordinal_position": 16}, {"identifier": "U51", "position": [5, 9], "step": 16, "ordinal_position": 17}, {"identifier": "I31", "position": [6, 9], "step": 17, "ordinal_position": 18}, {"identifier": "A15", "position": [7, 9], "step": 18, "ordinal_position": 19}, {"identifier": "D42", "position": [8, 9], "step": 19, "ordinal_position": 20}, {"identifier": "B76", "position": [9, 9], "step": 20, "ordinal_position": 21}, {"identifier": "E58", "position": [9, 8], "step": 21, "ordinal_position": 22}, {"identifier": "A33", "position": [9, 7], "step": 22, "ordinal_position": 23}, {"identifier": "R39", "position": [9, 6], "step": 23, "ordinal_position": 24}, {"identifier": "J69", "position": [9, 5], "step": 24, "ordinal_position": 25}, {"identifier": "X92", "position": [9, 4], "step": 25, "ordinal_position": 26}, {"identifier": "I09", "position": [9, 3], "step": 26, "ordinal_position": 27}, {"identifier": "X46", "position": [9, 2], "step": 27, "ordinal_position": 28}, {"identifier": "O22", "position": [9, 1], "step": 28, "ordinal_position": 29}, {"identifier": "U34", "position": [8, 1], "step": 29, "ordinal_position": 30}, {"identifier": "W01", "position": [7, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Z03", "position": [6, 1], "step": 31, "ordinal_position": 32}, {"identifier": "H06", "position": [5, 1], "step": 32, "ordinal_position": 33}, {"identifier": "Y94", "position": [4, 1], "step": 33, "ordinal_position": 34}, {"identifier": "B40", "position": [3, 1], "step": 34, "ordinal_position": 35}, {"identifier": "B68", "position": [2, 1], "step": 35, "ordinal_position": 36}, {"identifier": "Y17", "position": [1, 1], "step": 36, "ordinal_position": 37}, {"identifier": "I11", "position": [1, 2], "step": 37, "ordinal_position": 38}, {"identifier": "A71", "position": [1, 3], "step": 38, "ordinal_position": 39}, {"identifier": "V38", "position": [1, 4], "step": 39, "ordinal_position": 40}, {"identifier": "X56", "position": [1, 5], "step": 40, "ordinal_position": 41}, {"identifier": "X70", "position": [1, 6], "step": 41, "ordinal_position": 42}, {"identifier": "Q48", "position": [1, 7], "step": 42, "ordinal_position": 43}, {"identifier": "D82", "position": [1, 8], "step": 43, "ordinal_position": 44}, {"identifier": "G62", "position": [1, 9], "step": 44, "ordinal_position": 45}, {"identifier": "N52", "position": [2, 9], "step": 45, "ordinal_position": 46}, {"identifier": "R20", "position": [3, 9], "step": 46, "ordinal_position": 47}, {"identifier": "Y44", "position": [4, 9], "step": 47, "ordinal_position": 48}, {"identifier": "U51", "position": [5, 9], "step": 48, "ordinal_position": 49}, {"identifier": "I31", "position": [6, 9], "step": 49, "ordinal_position": 50}, {"identifier": "A15", "position": [7, 9], "step": 50, "ordinal_position": 51}, {"identifier": "D42", "position": [8, 9], "step": 51, "ordinal_position": 52}, {"identifier": "B76", "position": [9, 9], "step": 52, "ordinal_position": 53}, {"identifier": "E58", "position": [9, 8], "step": 53, "ordinal_position": 54}, {"identifier": "A33", "position": [9, 7], "step": 54, "ordinal_position": 55}, {"identifier": "R39", "position": [9, 6], "step": 55, "ordinal_position": 56}, {"identifier": "J69", "position": [9, 5], "step": 56, "ordinal_position": 57}, {"identifier": "X92", "position": [9, 4], "step": 57, "ordinal_position": 58}, {"identifier": "I09", "position": [9, 3], "step": 58, "ordinal_position": 59}, {"identifier": "X46", "position": [9, 2], "step": 59, "ordinal_position": 60}, {"identifier": "O22", "position": [9, 1], "step": 60, "ordinal_position": 61}, {"identifier": "U34", "position": [8, 1], "step": 61, "ordinal_position": 62}, {"identifier": "W01", "position": [7, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Z03", "position": [6, 1], "step": 63, "ordinal_position": 64}, {"identifier": "H06", "position": [5, 1], "step": 64, "ordinal_position": 65}, {"identifier": "Y94", "position": [4, 1], "step": 65, "ordinal_position": 66}, {"identifier": "B40", "position": [3, 1], "step": 66, "ordinal_position": 67}, {"identifier": "B68", "position": [2, 1], "step": 67, "ordinal_position": 68}, {"identifier": "Y17", "position": [1, 1], "step": 68, "ordinal_position": 69}, {"identifier": "I11", "position": [1, 2], "step": 69, "ordinal_position": 70}, {"identifier": "A71", "position": [1, 3], "step": 70, "ordinal_position": 71}, {"identifier": "V38", "position": [1, 4], "step": 71, "ordinal_position": 72}, {"identifier": "X56", "position": [1, 5], "step": 72, "ordinal_position": 73}, {"identifier": "X70", "position": [1, 6], "step": 73, "ordinal_position": 74}, {"identifier": "Q48", "position": [1, 7], "step": 74, "ordinal_position": 75}, {"identifier": "D82", "position": [1, 8], "step": 75, "ordinal_position": 76}, {"identifier": "G62", "position": [1, 9], "step": 76, "ordinal_position": 77}, {"identifier": "N52", "position": [2, 9], "step": 77, 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"position": [9, 3], "step": 90, "ordinal_position": 91}, {"identifier": "X46", "position": [9, 2], "step": 91, "ordinal_position": 92}, {"identifier": "O22", "position": [9, 1], "step": 92, "ordinal_position": 93}, {"identifier": "U34", "position": [8, 1], "step": 93, "ordinal_position": 94}, {"identifier": "W01", "position": [7, 1], "step": 94, "ordinal_position": 95}, {"identifier": "Z03", "position": [6, 1], "step": 95, "ordinal_position": 96}, {"identifier": "H06", "position": [5, 1], "step": 96, "ordinal_position": 97}, {"identifier": "Y94", "position": [4, 1], "step": 97, "ordinal_position": 98}, {"identifier": "B40", "position": [3, 1], "step": 98, "ordinal_position": 99}, {"identifier": "B68", "position": [2, 1], "step": 99, "ordinal_position": 100}, {"identifier": "Y17", "position": [1, 1], "step": 100, "ordinal_position": 101}, {"identifier": "I11", "position": [1, 2], "step": 101, "ordinal_position": 102}, {"identifier": "A71", "position": [1, 3], "step": 102, "ordinal_position": 103}, {"identifier": "V38", "position": [1, 4], "step": 103, "ordinal_position": 104}, {"identifier": "X56", "position": [1, 5], "step": 104, "ordinal_position": 105}, {"identifier": "X70", "position": [1, 6], "step": 105, "ordinal_position": 106}, {"identifier": "Q48", "position": [1, 7], "step": 106, "ordinal_position": 107}, {"identifier": "D82", "position": [1, 8], "step": 107, "ordinal_position": 108}, {"identifier": "G62", "position": [1, 9], "step": 108, "ordinal_position": 109}, {"identifier": "N52", "position": [2, 9], "step": 109, "ordinal_position": 110}, {"identifier": "R20", "position": [3, 9], "step": 110, "ordinal_position": 111}, {"identifier": "Y44", "position": [4, 9], "step": 111, "ordinal_position": 112}, {"identifier": "U51", "position": [5, 9], "step": 112, "ordinal_position": 113}, {"identifier": "I31", "position": [6, 9], "step": 113, "ordinal_position": 114}, {"identifier": "A15", "position": [7, 9], "step": 114, "ordinal_position": 115}, {"identifier": "D42", "position": [8, 9], "step": 115, "ordinal_position": 116}, {"identifier": "B76", "position": [9, 9], "step": 116, "ordinal_position": 117}, {"identifier": "E58", "position": [9, 8], "step": 117, "ordinal_position": 118}, {"identifier": "A33", "position": [9, 7], "step": 118, "ordinal_position": 119}, {"identifier": "R39", "position": [9, 6], "step": 119, "ordinal_position": 120}, {"identifier": "J69", "position": [9, 5], "step": 120, "ordinal_position": 121}, {"identifier": "X92", "position": [9, 4], "step": 121, "ordinal_position": 122}, {"identifier": "I09", "position": [9, 3], "step": 122, "ordinal_position": 123}, {"identifier": "X46", "position": [9, 2], "step": 123, "ordinal_position": 124}, {"identifier": "O22", "position": [9, 1], "step": 124, "ordinal_position": 125}, {"identifier": "U34", "position": [8, 1], "step": 125, "ordinal_position": 126}, {"identifier": "W01", "position": [7, 1], "step": 126, "ordinal_position": 127}, {"identifier": "Z03", "position": [6, 1], "step": 127, "ordinal_position": 128}, {"identifier": "H06", "position": [5, 1], "step": 128, "ordinal_position": 129}, {"identifier": "Y94", "position": [4, 1], "step": 129, "ordinal_position": 130}, {"identifier": "B40", "position": [3, 1], "step": 130, "ordinal_position": 131}, {"identifier": "B68", "position": [2, 1], "step": 131, "ordinal_position": 132}, {"identifier": "Y17", "position": [1, 1], "step": 132, "ordinal_position": 133}, {"identifier": "I11", "position": [1, 2], "step": 133, "ordinal_position": 134}, {"identifier": "A71", "position": [1, 3], "step": 134, "ordinal_position": 135}, {"identifier": "V38", "position": [1, 4], "step": 135, "ordinal_position": 136}, {"identifier": "X56", "position": [1, 5], "step": 136, "ordinal_position": 137}, {"identifier": "X70", "position": [1, 6], "step": 137, "ordinal_position": 138}, {"identifier": "Q48", "position": [1, 7], "step": 138, "ordinal_position": 139}, {"identifier": "D82", "position": [1, 8], "step": 139, "ordinal_position": 140}, {"identifier": "G62", "position": [1, 9], "step": 140, "ordinal_position": 141}, {"identifier": "N52", "position": [2, 9], "step": 141, "ordinal_position": 142}, {"identifier": "R20", "position": [3, 9], "step": 142, "ordinal_position": 143}, {"identifier": "Y44", "position": [4, 9], "step": 143, "ordinal_position": 144}, {"identifier": "U51", "position": [5, 9], "step": 144, "ordinal_position": 145}, {"identifier": "I31", "position": [6, 9], "step": 145, "ordinal_position": 146}, {"identifier": "A15", "position": [7, 9], "step": 146, "ordinal_position": 147}, {"identifier": "D42", "position": [8, 9], "step": 147, "ordinal_position": 148}, {"identifier": "B76", "position": [9, 9], "step": 148, "ordinal_position": 149}, {"identifier": "E58", "position": [9, 8], "step": 149, "ordinal_position": 150}, {"identifier": "A33", "position": [9, 7], "step": 150, "ordinal_position": 151}, {"identifier": "R39", "position": [9, 6], "step": 151, "ordinal_position": 152}, {"identifier": "J69", "position": [9, 5], "step": 152, "ordinal_position": 153}, {"identifier": "X92", "position": [9, 4], "step": 153, "ordinal_position": 154}, {"identifier": "I09", "position": [9, 3], "step": 154, "ordinal_position": 155}, {"identifier": "X46", "position": [9, 2], "step": 155, "ordinal_position": 156}, {"identifier": "O22", "position": [9, 1], "step": 156, "ordinal_position": 157}, {"identifier": "U34", "position": [8, 1], "step": 157, "ordinal_position": 158}, {"identifier": "W01", "position": [7, 1], "step": 158, "ordinal_position": 159}, {"identifier": "Z03", "position": [6, 1], "step": 159, "ordinal_position": 160}, {"identifier": "H06", "position": [5, 1], "step": 160, "ordinal_position": 161}, {"identifier": "Y94", "position": [4, 1], "step": 161, "ordinal_position": 162}, {"identifier": "B40", "position": [3, 1], "step": 162, "ordinal_position": 163}, {"identifier": "B68", "position": [2, 1], "step": 163, "ordinal_position": 164}, {"identifier": "Y17", "position": [1, 1], "step": 164, "ordinal_position": 165}, {"identifier": "I11", "position": [1, 2], "step": 165, "ordinal_position": 166}, {"identifier": "A71", "position": [1, 3], "step": 166, "ordinal_position": 167}, {"identifier": "V38", "position": [1, 4], "step": 167, "ordinal_position": 168}, {"identifier": "X56", "position": [1, 5], "step": 168, "ordinal_position": 169}, {"identifier": "X70", "position": [1, 6], "step": 169, "ordinal_position": 170}, {"identifier": "Q48", "position": [1, 7], "step": 170, "ordinal_position": 171}, {"identifier": "D82", "position": [1, 8], "step": 171, "ordinal_position": 172}, {"identifier": "G62", "position": [1, 9], "step": 172, "ordinal_position": 173}, {"identifier": "N52", "position": [2, 9], "step": 173, "ordinal_position": 174}, {"identifier": "R20", "position": [3, 9], "step": 174, "ordinal_position": 175}, {"identifier": "Y44", "position": [4, 9], "step": 175, "ordinal_position": 176}, {"identifier": "U51", "position": [5, 9], "step": 176, "ordinal_position": 177}, {"identifier": "I31", "position": [6, 9], "step": 177, "ordinal_position": 178}, {"identifier": "A15", "position": [7, 9], "step": 178, "ordinal_position": 179}, {"identifier": "D42", "position": [8, 9], "step": 179, "ordinal_position": 180}, {"identifier": "B76", "position": [9, 9], "step": 180, "ordinal_position": 181}, {"identifier": "E58", "position": [9, 8], "step": 181, "ordinal_position": 182}, {"identifier": "A33", "position": [9, 7], "step": 182, "ordinal_position": 183}, {"identifier": "R39", "position": [9, 6], "step": 183, "ordinal_position": 184}, {"identifier": "J69", "position": [9, 5], "step": 184, "ordinal_position": 185}, {"identifier": "X92", "position": [9, 4], "step": 185, "ordinal_position": 186}, {"identifier": "I09", "position": [9, 3], "step": 186, "ordinal_position": 187}, {"identifier": "X46", "position": [9, 2], "step": 187, "ordinal_position": 188}, {"identifier": "O22", "position": [9, 1], "step": 188, "ordinal_position": 189}, {"identifier": "U34", "position": [8, 1], "step": 189, "ordinal_position": 190}, {"identifier": "W01", "position": [7, 1], "step": 190, "ordinal_position": 191}, {"identifier": "Z03", "position": [6, 1], "step": 191, "ordinal_position": 192}, {"identifier": "H06", "position": [5, 1], "step": 192, "ordinal_position": 193}, {"identifier": "Y94", "position": [4, 1], "step": 193, "ordinal_position": 194}, {"identifier": "B40", "position": [3, 1], "step": 194, "ordinal_position": 195}, {"identifier": "B68", "position": [2, 1], "step": 195, "ordinal_position": 196}, {"identifier": "Y17", "position": [1, 1], "step": 196, "ordinal_position": 197}, {"identifier": "I11", "position": [1, 2], "step": 197, "ordinal_position": 198}, {"identifier": "A71", "position": [1, 3], "step": 198, "ordinal_position": 199}, {"identifier": "V38", "position": [1, 4], "step": 199, "ordinal_position": 200}, {"identifier": "X56", "position": [1, 5], "step": 200, "ordinal_position": 201}, {"identifier": "X70", "position": [1, 6], "step": 201, "ordinal_position": 202}, {"identifier": "Q48", "position": [1, 7], "step": 202, "ordinal_position": 203}, {"identifier": "D82", "position": [1, 8], "step": 203, "ordinal_position": 204}, {"identifier": "G62", "position": [1, 9], "step": 204, "ordinal_position": 205}, {"identifier": "N52", "position": [2, 9], "step": 205, "ordinal_position": 206}, {"identifier": "R20", "position": [3, 9], "step": 206, "ordinal_position": 207}, {"identifier": "Y44", "position": [4, 9], "step": 207, "ordinal_position": 208}, {"identifier": "U51", "position": [5, 9], "step": 208, "ordinal_position": 209}, {"identifier": "I31", "position": [6, 9], "step": 209, "ordinal_position": 210}, {"identifier": "A15", "position": [7, 9], "step": 210, "ordinal_position": 211}, {"identifier": "D42", "position": [8, 9], "step": 211, "ordinal_position": 212}, {"identifier": "B76", "position": [9, 9], "step": 212, "ordinal_position": 213}, {"identifier": "E58", "position": [9, 8], "step": 213, "ordinal_position": 214}, {"identifier": "A33", "position": [9, 7], "step": 214, "ordinal_position": 215}, {"identifier": "R39", "position": [9, 6], "step": 215, "ordinal_position": 216}, {"identifier": "J69", "position": [9, 5], "step": 216, "ordinal_position": 217}, {"identifier": "X92", "position": [9, 4], "step": 217, "ordinal_position": 218}, {"identifier": "I09", "position": [9, 3], "step": 218, "ordinal_position": 219}, {"identifier": "X46", "position": [9, 2], "step": 219, "ordinal_position": 220}, {"identifier": "O22", "position": [9, 1], "step": 220, "ordinal_position": 221}, {"identifier": "U34", "position": [8, 1], "step": 221, "ordinal_position": 222}, {"identifier": "W01", "position": [7, 1], "step": 222, "ordinal_position": 223}, {"identifier": "Z03", "position": [6, 1], "step": 223, "ordinal_position": 224}, {"identifier": "H06", "position": [5, 1], "step": 224, "ordinal_position": 225}, {"identifier": "Y94", "position": [4, 1], "step": 225, "ordinal_position": 226}, {"identifier": "B40", "position": [3, 1], "step": 226, "ordinal_position": 227}, {"identifier": "B68", "position": [2, 1], "step": 227, "ordinal_position": 228}, {"identifier": "Y17", "position": [1, 1], "step": 228, "ordinal_position": 229}, {"identifier": "I11", "position": [1, 2], "step": 229, "ordinal_position": 230}, {"identifier": "A71", "position": [1, 3], "step": 230, "ordinal_position": 231}, {"identifier": "V38", "position": [1, 4], "step": 231, "ordinal_position": 232}, {"identifier": "X56", "position": [1, 5], "step": 232, "ordinal_position": 233}, {"identifier": "X70", "position": [1, 6], "step": 233, "ordinal_position": 234}, {"identifier": "Q48", "position": [1, 7], "step": 234, "ordinal_position": 235}, {"identifier": "D82", "position": [1, 8], "step": 235, "ordinal_position": 236}, {"identifier": "G62", "position": [1, 9], "step": 236, "ordinal_position": 237}, {"identifier": "N52", "position": [2, 9], "step": 237, "ordinal_position": 238}, {"identifier": "R20", "position": [3, 9], "step": 238, "ordinal_position": 239}, {"identifier": "Y44", "position": [4, 9], "step": 239, "ordinal_position": 240}, {"identifier": "U51", "position": [5, 9], "step": 240, "ordinal_position": 241}, {"identifier": "I31", "position": [6, 9], "step": 241, "ordinal_position": 242}, {"identifier": "A15", "position": [7, 9], "step": 242, "ordinal_position": 243}, {"identifier": "D42", "position": [8, 9], "step": 243, "ordinal_position": 244}, {"identifier": "B76", "position": [9, 9], "step": 244, "ordinal_position": 245}, {"identifier": "E58", "position": [9, 8], "step": 245, "ordinal_position": 246}, {"identifier": "A33", "position": [9, 7], "step": 246, "ordinal_position": 247}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 247, "direction": "up", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_009.json"}} {"qa_id": "9b233d89d7864e14aea9cf208b55a0d7", "image_id": "L3-MazeLoop-test_11x11_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B68, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 120th position in this traversal?", "start_object_id": "B68", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [120], "ordinal_strings": ["120th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "I09", "traversal_path": [{"identifier": "B68", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Y17", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "I11", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "A71", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "V38", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "X56", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "X70", "position": [1, 6], "step": 6, "ordinal_position": 7}, {"identifier": "Q48", "position": [1, 7], "step": 7, "ordinal_position": 8}, {"identifier": "D82", "position": [1, 8], "step": 8, "ordinal_position": 9}, {"identifier": "G62", "position": [1, 9], "step": 9, "ordinal_position": 10}, {"identifier": "N52", "position": [2, 9], "step": 10, "ordinal_position": 11}, {"identifier": "R20", "position": [3, 9], "step": 11, "ordinal_position": 12}, {"identifier": "Y44", "position": [4, 9], "step": 12, "ordinal_position": 13}, {"identifier": "U51", "position": [5, 9], "step": 13, "ordinal_position": 14}, {"identifier": "I31", "position": [6, 9], "step": 14, "ordinal_position": 15}, {"identifier": "A15", "position": [7, 9], "step": 15, "ordinal_position": 16}, {"identifier": "D42", "position": [8, 9], "step": 16, "ordinal_position": 17}, {"identifier": "B76", "position": [9, 9], "step": 17, "ordinal_position": 18}, {"identifier": "E58", "position": [9, 8], "step": 18, "ordinal_position": 19}, {"identifier": "A33", "position": [9, 7], "step": 19, "ordinal_position": 20}, {"identifier": "R39", "position": [9, 6], "step": 20, "ordinal_position": 21}, {"identifier": "J69", "position": [9, 5], "step": 21, "ordinal_position": 22}, {"identifier": "X92", "position": [9, 4], "step": 22, "ordinal_position": 23}, {"identifier": "I09", "position": [9, 3], "step": 23, "ordinal_position": 24}, {"identifier": "X46", "position": [9, 2], "step": 24, "ordinal_position": 25}, {"identifier": "O22", "position": [9, 1], "step": 25, "ordinal_position": 26}, {"identifier": "U34", "position": [8, 1], "step": 26, "ordinal_position": 27}, {"identifier": "W01", "position": [7, 1], "step": 27, "ordinal_position": 28}, {"identifier": "Z03", "position": [6, 1], "step": 28, "ordinal_position": 29}, {"identifier": "H06", "position": [5, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Y94", "position": [4, 1], "step": 30, "ordinal_position": 31}, {"identifier": "B40", "position": [3, 1], "step": 31, "ordinal_position": 32}, {"identifier": "B68", "position": [2, 1], "step": 32, "ordinal_position": 33}, {"identifier": "Y17", "position": [1, 1], "step": 33, "ordinal_position": 34}, {"identifier": "I11", "position": [1, 2], "step": 34, "ordinal_position": 35}, {"identifier": "A71", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "V38", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "X56", "position": [1, 5], "step": 37, "ordinal_position": 38}, {"identifier": "X70", "position": [1, 6], "step": 38, "ordinal_position": 39}, {"identifier": "Q48", "position": [1, 7], "step": 39, "ordinal_position": 40}, {"identifier": "D82", "position": [1, 8], "step": 40, "ordinal_position": 41}, {"identifier": "G62", "position": [1, 9], "step": 41, "ordinal_position": 42}, {"identifier": "N52", "position": [2, 9], "step": 42, "ordinal_position": 43}, {"identifier": "R20", "position": [3, 9], "step": 43, "ordinal_position": 44}, {"identifier": "Y44", "position": [4, 9], "step": 44, "ordinal_position": 45}, {"identifier": "U51", "position": [5, 9], "step": 45, "ordinal_position": 46}, {"identifier": "I31", "position": [6, 9], "step": 46, "ordinal_position": 47}, {"identifier": "A15", "position": [7, 9], "step": 47, "ordinal_position": 48}, {"identifier": "D42", "position": [8, 9], "step": 48, "ordinal_position": 49}, {"identifier": "B76", "position": [9, 9], "step": 49, "ordinal_position": 50}, {"identifier": "E58", "position": [9, 8], "step": 50, "ordinal_position": 51}, {"identifier": "A33", "position": [9, 7], "step": 51, "ordinal_position": 52}, {"identifier": "R39", "position": [9, 6], "step": 52, "ordinal_position": 53}, {"identifier": "J69", "position": [9, 5], "step": 53, "ordinal_position": 54}, {"identifier": "X92", "position": [9, 4], "step": 54, "ordinal_position": 55}, {"identifier": "I09", "position": [9, 3], "step": 55, "ordinal_position": 56}, {"identifier": "X46", "position": [9, 2], "step": 56, "ordinal_position": 57}, {"identifier": "O22", "position": [9, 1], "step": 57, "ordinal_position": 58}, {"identifier": "U34", "position": [8, 1], "step": 58, "ordinal_position": 59}, {"identifier": "W01", "position": [7, 1], "step": 59, "ordinal_position": 60}, {"identifier": "Z03", "position": [6, 1], "step": 60, "ordinal_position": 61}, {"identifier": "H06", "position": [5, 1], "step": 61, "ordinal_position": 62}, {"identifier": "Y94", "position": [4, 1], "step": 62, "ordinal_position": 63}, {"identifier": "B40", "position": [3, 1], "step": 63, "ordinal_position": 64}, {"identifier": "B68", "position": [2, 1], "step": 64, "ordinal_position": 65}, {"identifier": "Y17", "position": [1, 1], "step": 65, "ordinal_position": 66}, {"identifier": "I11", "position": [1, 2], "step": 66, "ordinal_position": 67}, {"identifier": "A71", "position": [1, 3], "step": 67, "ordinal_position": 68}, {"identifier": "V38", "position": [1, 4], "step": 68, "ordinal_position": 69}, {"identifier": "X56", "position": [1, 5], "step": 69, "ordinal_position": 70}, {"identifier": "X70", "position": [1, 6], "step": 70, "ordinal_position": 71}, {"identifier": "Q48", "position": [1, 7], "step": 71, "ordinal_position": 72}, {"identifier": "D82", "position": [1, 8], "step": 72, "ordinal_position": 73}, {"identifier": "G62", "position": [1, 9], "step": 73, "ordinal_position": 74}, {"identifier": "N52", "position": [2, 9], "step": 74, "ordinal_position": 75}, {"identifier": "R20", "position": [3, 9], "step": 75, "ordinal_position": 76}, {"identifier": "Y44", "position": [4, 9], "step": 76, "ordinal_position": 77}, {"identifier": "U51", "position": [5, 9], "step": 77, "ordinal_position": 78}, {"identifier": "I31", "position": [6, 9], "step": 78, "ordinal_position": 79}, {"identifier": "A15", "position": [7, 9], "step": 79, "ordinal_position": 80}, {"identifier": "D42", "position": [8, 9], "step": 80, "ordinal_position": 81}, {"identifier": "B76", "position": [9, 9], "step": 81, "ordinal_position": 82}, {"identifier": "E58", "position": [9, 8], "step": 82, "ordinal_position": 83}, {"identifier": "A33", "position": [9, 7], "step": 83, "ordinal_position": 84}, {"identifier": "R39", "position": [9, 6], "step": 84, "ordinal_position": 85}, {"identifier": "J69", "position": [9, 5], "step": 85, "ordinal_position": 86}, {"identifier": "X92", "position": [9, 4], "step": 86, "ordinal_position": 87}, {"identifier": "I09", "position": [9, 3], "step": 87, "ordinal_position": 88}, {"identifier": "X46", "position": [9, 2], "step": 88, "ordinal_position": 89}, {"identifier": "O22", "position": [9, 1], "step": 89, "ordinal_position": 90}, {"identifier": "U34", "position": [8, 1], "step": 90, "ordinal_position": 91}, {"identifier": "W01", "position": [7, 1], "step": 91, "ordinal_position": 92}, {"identifier": "Z03", "position": [6, 1], "step": 92, "ordinal_position": 93}, {"identifier": "H06", "position": [5, 1], "step": 93, "ordinal_position": 94}, {"identifier": "Y94", "position": [4, 1], "step": 94, "ordinal_position": 95}, {"identifier": "B40", "position": [3, 1], "step": 95, "ordinal_position": 96}, {"identifier": "B68", "position": [2, 1], "step": 96, "ordinal_position": 97}, {"identifier": "Y17", "position": [1, 1], "step": 97, "ordinal_position": 98}, {"identifier": "I11", "position": [1, 2], "step": 98, "ordinal_position": 99}, {"identifier": "A71", "position": [1, 3], "step": 99, "ordinal_position": 100}, {"identifier": "V38", "position": [1, 4], "step": 100, "ordinal_position": 101}, {"identifier": "X56", "position": [1, 5], "step": 101, "ordinal_position": 102}, {"identifier": "X70", "position": [1, 6], "step": 102, "ordinal_position": 103}, {"identifier": "Q48", "position": [1, 7], "step": 103, "ordinal_position": 104}, {"identifier": "D82", "position": [1, 8], "step": 104, "ordinal_position": 105}, {"identifier": "G62", "position": [1, 9], "step": 105, "ordinal_position": 106}, {"identifier": "N52", "position": [2, 9], "step": 106, "ordinal_position": 107}, {"identifier": "R20", "position": [3, 9], "step": 107, "ordinal_position": 108}, {"identifier": "Y44", "position": [4, 9], "step": 108, "ordinal_position": 109}, {"identifier": "U51", "position": [5, 9], "step": 109, "ordinal_position": 110}, {"identifier": "I31", "position": [6, 9], "step": 110, "ordinal_position": 111}, {"identifier": "A15", "position": [7, 9], "step": 111, "ordinal_position": 112}, {"identifier": "D42", "position": [8, 9], "step": 112, "ordinal_position": 113}, {"identifier": "B76", "position": [9, 9], "step": 113, "ordinal_position": 114}, {"identifier": "E58", "position": [9, 8], "step": 114, "ordinal_position": 115}, {"identifier": "A33", "position": [9, 7], "step": 115, "ordinal_position": 116}, {"identifier": "R39", "position": [9, 6], "step": 116, "ordinal_position": 117}, {"identifier": "J69", "position": [9, 5], "step": 117, "ordinal_position": 118}, {"identifier": "X92", "position": [9, 4], "step": 118, "ordinal_position": 119}, {"identifier": "I09", "position": [9, 3], "step": 119, "ordinal_position": 120}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 120, "direction": "left", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_009.json"}} {"qa_id": "904c2977ef074b4792bee4ba087849ef", "image_id": "L3-MazeLoop-test_11x11_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D47, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 185th position in this traversal?", "start_object_id": "D47", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [185], "ordinal_strings": ["185th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "E58", "traversal_path": [{"identifier": "D47", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "E96", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "Q30", "position": [3, 4], "step": 2, "ordinal_position": 3}, {"identifier": "C21", "position": [3, 3], "step": 3, "ordinal_position": 4}, {"identifier": "K99", "position": [3, 2], "step": 4, "ordinal_position": 5}, {"identifier": "B40", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "B68", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Y17", "position": [1, 1], "step": 7, "ordinal_position": 8}, {"identifier": "I11", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "A71", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "V38", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "X56", "position": [1, 5], "step": 11, "ordinal_position": 12}, {"identifier": "X70", "position": [1, 6], "step": 12, "ordinal_position": 13}, {"identifier": "Q48", "position": [1, 7], "step": 13, "ordinal_position": 14}, {"identifier": "D82", "position": [1, 8], "step": 14, "ordinal_position": 15}, {"identifier": "G62", "position": [1, 9], "step": 15, "ordinal_position": 16}, {"identifier": "N52", "position": [2, 9], "step": 16, "ordinal_position": 17}, {"identifier": "R20", "position": [3, 9], "step": 17, "ordinal_position": 18}, {"identifier": "Y44", "position": [4, 9], "step": 18, "ordinal_position": 19}, {"identifier": "U51", "position": [5, 9], "step": 19, "ordinal_position": 20}, {"identifier": "I31", "position": [6, 9], "step": 20, "ordinal_position": 21}, {"identifier": "A15", "position": [7, 9], "step": 21, "ordinal_position": 22}, {"identifier": "D42", "position": [8, 9], "step": 22, "ordinal_position": 23}, {"identifier": "B76", "position": [9, 9], "step": 23, "ordinal_position": 24}, {"identifier": "E58", "position": [9, 8], "step": 24, "ordinal_position": 25}, {"identifier": "A33", "position": [9, 7], "step": 25, "ordinal_position": 26}, {"identifier": "R39", "position": [9, 6], "step": 26, "ordinal_position": 27}, {"identifier": "J69", "position": [9, 5], "step": 27, "ordinal_position": 28}, {"identifier": "X92", "position": [9, 4], "step": 28, "ordinal_position": 29}, {"identifier": "I09", "position": [9, 3], "step": 29, "ordinal_position": 30}, {"identifier": "X46", "position": [9, 2], "step": 30, "ordinal_position": 31}, {"identifier": "O22", "position": [9, 1], "step": 31, "ordinal_position": 32}, {"identifier": "U34", "position": [8, 1], "step": 32, "ordinal_position": 33}, {"identifier": "W01", "position": [7, 1], "step": 33, "ordinal_position": 34}, {"identifier": "Z03", "position": [6, 1], "step": 34, "ordinal_position": 35}, {"identifier": "H06", "position": [5, 1], "step": 35, "ordinal_position": 36}, {"identifier": "Y94", "position": [4, 1], "step": 36, "ordinal_position": 37}, {"identifier": "B40", "position": [3, 1], "step": 37, "ordinal_position": 38}, {"identifier": "B68", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Y17", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "I11", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "A71", "position": [1, 3], "step": 41, "ordinal_position": 42}, {"identifier": "V38", "position": [1, 4], "step": 42, "ordinal_position": 43}, {"identifier": "X56", "position": [1, 5], "step": 43, "ordinal_position": 44}, {"identifier": "X70", "position": [1, 6], "step": 44, "ordinal_position": 45}, {"identifier": "Q48", "position": [1, 7], "step": 45, "ordinal_position": 46}, {"identifier": "D82", "position": [1, 8], "step": 46, "ordinal_position": 47}, {"identifier": "G62", "position": [1, 9], "step": 47, "ordinal_position": 48}, {"identifier": "N52", "position": [2, 9], "step": 48, "ordinal_position": 49}, {"identifier": "R20", "position": [3, 9], "step": 49, "ordinal_position": 50}, {"identifier": "Y44", "position": [4, 9], "step": 50, "ordinal_position": 51}, {"identifier": "U51", "position": [5, 9], "step": 51, "ordinal_position": 52}, {"identifier": "I31", "position": [6, 9], "step": 52, "ordinal_position": 53}, {"identifier": "A15", "position": [7, 9], "step": 53, "ordinal_position": 54}, {"identifier": "D42", "position": [8, 9], "step": 54, "ordinal_position": 55}, {"identifier": "B76", "position": [9, 9], "step": 55, "ordinal_position": 56}, {"identifier": "E58", "position": [9, 8], "step": 56, "ordinal_position": 57}, {"identifier": "A33", "position": [9, 7], "step": 57, "ordinal_position": 58}, {"identifier": "R39", "position": [9, 6], "step": 58, "ordinal_position": 59}, {"identifier": "J69", "position": [9, 5], "step": 59, "ordinal_position": 60}, {"identifier": "X92", "position": [9, 4], "step": 60, "ordinal_position": 61}, {"identifier": "I09", "position": [9, 3], "step": 61, "ordinal_position": 62}, {"identifier": "X46", "position": [9, 2], "step": 62, "ordinal_position": 63}, {"identifier": "O22", "position": [9, 1], "step": 63, "ordinal_position": 64}, {"identifier": "U34", "position": [8, 1], "step": 64, "ordinal_position": 65}, {"identifier": "W01", "position": [7, 1], "step": 65, "ordinal_position": 66}, {"identifier": "Z03", "position": [6, 1], "step": 66, "ordinal_position": 67}, {"identifier": "H06", "position": [5, 1], "step": 67, "ordinal_position": 68}, {"identifier": "Y94", "position": [4, 1], "step": 68, "ordinal_position": 69}, {"identifier": "B40", "position": [3, 1], "step": 69, "ordinal_position": 70}, {"identifier": "B68", "position": [2, 1], "step": 70, "ordinal_position": 71}, {"identifier": "Y17", "position": [1, 1], "step": 71, "ordinal_position": 72}, {"identifier": "I11", "position": [1, 2], "step": 72, "ordinal_position": 73}, {"identifier": "A71", "position": [1, 3], "step": 73, "ordinal_position": 74}, {"identifier": "V38", "position": [1, 4], "step": 74, "ordinal_position": 75}, {"identifier": "X56", "position": [1, 5], "step": 75, "ordinal_position": 76}, {"identifier": "X70", "position": [1, 6], "step": 76, "ordinal_position": 77}, {"identifier": "Q48", "position": [1, 7], "step": 77, "ordinal_position": 78}, {"identifier": "D82", "position": [1, 8], "step": 78, "ordinal_position": 79}, {"identifier": "G62", "position": [1, 9], "step": 79, "ordinal_position": 80}, {"identifier": "N52", "position": [2, 9], "step": 80, "ordinal_position": 81}, {"identifier": "R20", "position": [3, 9], "step": 81, "ordinal_position": 82}, {"identifier": "Y44", "position": [4, 9], "step": 82, "ordinal_position": 83}, {"identifier": "U51", "position": [5, 9], "step": 83, "ordinal_position": 84}, {"identifier": "I31", "position": [6, 9], "step": 84, "ordinal_position": 85}, {"identifier": "A15", "position": [7, 9], "step": 85, "ordinal_position": 86}, {"identifier": "D42", "position": [8, 9], "step": 86, "ordinal_position": 87}, {"identifier": "B76", "position": [9, 9], "step": 87, "ordinal_position": 88}, {"identifier": "E58", "position": [9, 8], "step": 88, "ordinal_position": 89}, {"identifier": "A33", "position": [9, 7], "step": 89, "ordinal_position": 90}, {"identifier": "R39", "position": [9, 6], "step": 90, "ordinal_position": 91}, {"identifier": "J69", "position": [9, 5], "step": 91, "ordinal_position": 92}, {"identifier": "X92", "position": [9, 4], "step": 92, "ordinal_position": 93}, {"identifier": "I09", "position": [9, 3], "step": 93, "ordinal_position": 94}, {"identifier": "X46", "position": [9, 2], "step": 94, "ordinal_position": 95}, {"identifier": "O22", "position": [9, 1], "step": 95, "ordinal_position": 96}, {"identifier": "U34", "position": [8, 1], "step": 96, "ordinal_position": 97}, {"identifier": "W01", "position": [7, 1], "step": 97, "ordinal_position": 98}, {"identifier": "Z03", "position": [6, 1], "step": 98, "ordinal_position": 99}, {"identifier": "H06", "position": [5, 1], "step": 99, "ordinal_position": 100}, {"identifier": "Y94", "position": [4, 1], "step": 100, "ordinal_position": 101}, {"identifier": "B40", "position": [3, 1], "step": 101, "ordinal_position": 102}, {"identifier": "B68", "position": [2, 1], "step": 102, "ordinal_position": 103}, {"identifier": "Y17", "position": [1, 1], "step": 103, "ordinal_position": 104}, {"identifier": "I11", "position": [1, 2], "step": 104, "ordinal_position": 105}, {"identifier": "A71", "position": [1, 3], "step": 105, "ordinal_position": 106}, {"identifier": "V38", "position": [1, 4], "step": 106, "ordinal_position": 107}, {"identifier": "X56", "position": [1, 5], "step": 107, "ordinal_position": 108}, {"identifier": "X70", "position": [1, 6], "step": 108, "ordinal_position": 109}, {"identifier": "Q48", "position": [1, 7], "step": 109, "ordinal_position": 110}, {"identifier": "D82", 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122, "ordinal_position": 123}, {"identifier": "J69", "position": [9, 5], "step": 123, "ordinal_position": 124}, {"identifier": "X92", "position": [9, 4], "step": 124, "ordinal_position": 125}, {"identifier": "I09", "position": [9, 3], "step": 125, "ordinal_position": 126}, {"identifier": "X46", "position": [9, 2], "step": 126, "ordinal_position": 127}, {"identifier": "O22", "position": [9, 1], "step": 127, "ordinal_position": 128}, {"identifier": "U34", "position": [8, 1], "step": 128, "ordinal_position": 129}, {"identifier": "W01", "position": [7, 1], "step": 129, "ordinal_position": 130}, {"identifier": "Z03", "position": [6, 1], "step": 130, "ordinal_position": 131}, {"identifier": "H06", "position": [5, 1], "step": 131, "ordinal_position": 132}, {"identifier": "Y94", "position": [4, 1], "step": 132, "ordinal_position": 133}, {"identifier": "B40", "position": [3, 1], "step": 133, "ordinal_position": 134}, {"identifier": "B68", "position": [2, 1], "step": 134, "ordinal_position": 135}, {"identifier": "Y17", "position": [1, 1], "step": 135, "ordinal_position": 136}, {"identifier": "I11", "position": [1, 2], "step": 136, "ordinal_position": 137}, {"identifier": "A71", "position": [1, 3], "step": 137, "ordinal_position": 138}, {"identifier": "V38", "position": [1, 4], "step": 138, "ordinal_position": 139}, {"identifier": "X56", "position": [1, 5], "step": 139, "ordinal_position": 140}, {"identifier": "X70", "position": [1, 6], "step": 140, "ordinal_position": 141}, {"identifier": "Q48", "position": [1, 7], "step": 141, "ordinal_position": 142}, {"identifier": "D82", "position": [1, 8], "step": 142, "ordinal_position": 143}, {"identifier": "G62", "position": [1, 9], "step": 143, "ordinal_position": 144}, {"identifier": "N52", "position": [2, 9], "step": 144, "ordinal_position": 145}, {"identifier": "R20", "position": [3, 9], "step": 145, "ordinal_position": 146}, {"identifier": "Y44", "position": [4, 9], "step": 146, "ordinal_position": 147}, {"identifier": "U51", "position": [5, 9], "step": 147, "ordinal_position": 148}, {"identifier": "I31", "position": [6, 9], "step": 148, "ordinal_position": 149}, {"identifier": "A15", "position": [7, 9], "step": 149, "ordinal_position": 150}, {"identifier": "D42", "position": [8, 9], "step": 150, "ordinal_position": 151}, {"identifier": "B76", "position": [9, 9], "step": 151, "ordinal_position": 152}, {"identifier": "E58", "position": [9, 8], "step": 152, "ordinal_position": 153}, {"identifier": "A33", "position": [9, 7], "step": 153, "ordinal_position": 154}, {"identifier": "R39", "position": [9, 6], "step": 154, "ordinal_position": 155}, {"identifier": "J69", "position": [9, 5], "step": 155, "ordinal_position": 156}, {"identifier": "X92", "position": [9, 4], "step": 156, "ordinal_position": 157}, {"identifier": "I09", "position": [9, 3], "step": 157, "ordinal_position": 158}, {"identifier": "X46", "position": [9, 2], "step": 158, "ordinal_position": 159}, {"identifier": "O22", "position": [9, 1], "step": 159, "ordinal_position": 160}, {"identifier": "U34", "position": [8, 1], "step": 160, "ordinal_position": 161}, {"identifier": "W01", "position": [7, 1], "step": 161, "ordinal_position": 162}, {"identifier": "Z03", "position": [6, 1], "step": 162, "ordinal_position": 163}, {"identifier": "H06", "position": [5, 1], "step": 163, "ordinal_position": 164}, {"identifier": "Y94", "position": [4, 1], "step": 164, "ordinal_position": 165}, {"identifier": "B40", "position": [3, 1], "step": 165, "ordinal_position": 166}, {"identifier": "B68", "position": [2, 1], "step": 166, "ordinal_position": 167}, {"identifier": "Y17", "position": [1, 1], "step": 167, "ordinal_position": 168}, {"identifier": "I11", "position": [1, 2], "step": 168, "ordinal_position": 169}, {"identifier": "A71", "position": [1, 3], "step": 169, "ordinal_position": 170}, {"identifier": "V38", "position": [1, 4], "step": 170, "ordinal_position": 171}, {"identifier": "X56", "position": [1, 5], "step": 171, "ordinal_position": 172}, {"identifier": "X70", "position": [1, 6], "step": 172, "ordinal_position": 173}, {"identifier": "Q48", "position": [1, 7], "step": 173, "ordinal_position": 174}, {"identifier": "D82", "position": [1, 8], "step": 174, "ordinal_position": 175}, {"identifier": "G62", "position": [1, 9], "step": 175, "ordinal_position": 176}, {"identifier": "N52", "position": [2, 9], "step": 176, "ordinal_position": 177}, {"identifier": "R20", "position": [3, 9], "step": 177, "ordinal_position": 178}, {"identifier": "Y44", "position": [4, 9], "step": 178, "ordinal_position": 179}, {"identifier": "U51", "position": [5, 9], "step": 179, "ordinal_position": 180}, {"identifier": "I31", "position": [6, 9], "step": 180, "ordinal_position": 181}, {"identifier": "A15", "position": [7, 9], "step": 181, "ordinal_position": 182}, {"identifier": "D42", "position": [8, 9], "step": 182, "ordinal_position": 183}, {"identifier": "B76", "position": [9, 9], "step": 183, "ordinal_position": 184}, {"identifier": "E58", "position": [9, 8], "step": 184, "ordinal_position": 185}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 185, "direction": "right", "turn_preference": "left", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_009.json"}} {"qa_id": "e8e04a24b0844374951174155cddd01e", "image_id": "L3-MazeLoop-test_11x11_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y44, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 213th position in this traversal?", "start_object_id": "Y44", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [213], "ordinal_strings": ["213th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "X46", "traversal_path": [{"identifier": "Y44", "position": [4, 9], "step": 0, "ordinal_position": 1}, {"identifier": "R20", "position": [3, 9], "step": 1, "ordinal_position": 2}, {"identifier": "N52", "position": [2, 9], "step": 2, "ordinal_position": 3}, {"identifier": "G62", "position": [1, 9], "step": 3, "ordinal_position": 4}, {"identifier": "D82", "position": [1, 8], "step": 4, "ordinal_position": 5}, {"identifier": "Q48", "position": [1, 7], "step": 5, "ordinal_position": 6}, {"identifier": "X70", "position": [1, 6], "step": 6, "ordinal_position": 7}, {"identifier": "X56", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "V38", "position": [1, 4], "step": 8, "ordinal_position": 9}, {"identifier": "A71", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "I11", "position": [1, 2], "step": 10, "ordinal_position": 11}, {"identifier": "Y17", "position": [1, 1], "step": 11, "ordinal_position": 12}, {"identifier": "B68", "position": [2, 1], "step": 12, "ordinal_position": 13}, {"identifier": "B40", "position": [3, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Y94", "position": [4, 1], "step": 14, "ordinal_position": 15}, {"identifier": "H06", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "Z03", "position": [6, 1], "step": 16, "ordinal_position": 17}, {"identifier": "W01", "position": [7, 1], "step": 17, "ordinal_position": 18}, {"identifier": "U34", "position": [8, 1], "step": 18, "ordinal_position": 19}, {"identifier": "O22", "position": [9, 1], "step": 19, "ordinal_position": 20}, {"identifier": "X46", "position": [9, 2], "step": 20, "ordinal_position": 21}, {"identifier": "I09", "position": [9, 3], "step": 21, "ordinal_position": 22}, {"identifier": "X92", "position": [9, 4], "step": 22, "ordinal_position": 23}, {"identifier": "J69", "position": [9, 5], "step": 23, "ordinal_position": 24}, {"identifier": "R39", "position": [9, 6], "step": 24, "ordinal_position": 25}, {"identifier": "A33", "position": [9, 7], "step": 25, "ordinal_position": 26}, {"identifier": "E58", "position": [9, 8], "step": 26, "ordinal_position": 27}, {"identifier": "B76", "position": [9, 9], "step": 27, "ordinal_position": 28}, {"identifier": "D42", "position": [8, 9], "step": 28, "ordinal_position": 29}, {"identifier": "A15", "position": [7, 9], "step": 29, "ordinal_position": 30}, {"identifier": "I31", "position": [6, 9], "step": 30, "ordinal_position": 31}, {"identifier": "U51", "position": [5, 9], "step": 31, "ordinal_position": 32}, {"identifier": "Y44", "position": [4, 9], "step": 32, "ordinal_position": 33}, {"identifier": "R20", "position": [3, 9], "step": 33, "ordinal_position": 34}, {"identifier": "N52", "position": [2, 9], "step": 34, "ordinal_position": 35}, {"identifier": "G62", "position": [1, 9], "step": 35, "ordinal_position": 36}, {"identifier": "D82", "position": [1, 8], "step": 36, "ordinal_position": 37}, {"identifier": "Q48", "position": [1, 7], "step": 37, "ordinal_position": 38}, {"identifier": "X70", "position": [1, 6], "step": 38, "ordinal_position": 39}, {"identifier": "X56", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "V38", "position": [1, 4], "step": 40, "ordinal_position": 41}, {"identifier": "A71", "position": [1, 3], "step": 41, "ordinal_position": 42}, {"identifier": "I11", "position": [1, 2], "step": 42, "ordinal_position": 43}, {"identifier": "Y17", "position": [1, 1], "step": 43, "ordinal_position": 44}, {"identifier": "B68", "position": [2, 1], "step": 44, "ordinal_position": 45}, {"identifier": "B40", "position": [3, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Y94", "position": [4, 1], "step": 46, "ordinal_position": 47}, {"identifier": "H06", "position": [5, 1], "step": 47, "ordinal_position": 48}, {"identifier": "Z03", "position": [6, 1], "step": 48, "ordinal_position": 49}, {"identifier": "W01", "position": [7, 1], "step": 49, "ordinal_position": 50}, {"identifier": "U34", "position": [8, 1], "step": 50, "ordinal_position": 51}, {"identifier": "O22", "position": [9, 1], "step": 51, "ordinal_position": 52}, {"identifier": "X46", "position": [9, 2], "step": 52, "ordinal_position": 53}, {"identifier": "I09", "position": [9, 3], "step": 53, "ordinal_position": 54}, {"identifier": "X92", "position": [9, 4], "step": 54, "ordinal_position": 55}, {"identifier": "J69", "position": [9, 5], "step": 55, "ordinal_position": 56}, {"identifier": "R39", "position": [9, 6], "step": 56, "ordinal_position": 57}, {"identifier": "A33", "position": [9, 7], "step": 57, "ordinal_position": 58}, {"identifier": "E58", "position": [9, 8], "step": 58, "ordinal_position": 59}, {"identifier": "B76", "position": [9, 9], "step": 59, "ordinal_position": 60}, {"identifier": "D42", "position": [8, 9], "step": 60, "ordinal_position": 61}, {"identifier": "A15", "position": [7, 9], "step": 61, "ordinal_position": 62}, {"identifier": "I31", "position": [6, 9], "step": 62, "ordinal_position": 63}, {"identifier": "U51", "position": [5, 9], "step": 63, "ordinal_position": 64}, {"identifier": "Y44", "position": [4, 9], "step": 64, "ordinal_position": 65}, {"identifier": "R20", "position": [3, 9], "step": 65, "ordinal_position": 66}, {"identifier": "N52", "position": [2, 9], "step": 66, "ordinal_position": 67}, {"identifier": "G62", "position": [1, 9], "step": 67, "ordinal_position": 68}, {"identifier": "D82", "position": [1, 8], "step": 68, "ordinal_position": 69}, {"identifier": "Q48", "position": [1, 7], "step": 69, "ordinal_position": 70}, {"identifier": "X70", "position": [1, 6], "step": 70, "ordinal_position": 71}, {"identifier": "X56", "position": [1, 5], "step": 71, "ordinal_position": 72}, {"identifier": "V38", "position": [1, 4], "step": 72, "ordinal_position": 73}, {"identifier": "A71", "position": [1, 3], "step": 73, "ordinal_position": 74}, {"identifier": "I11", "position": [1, 2], "step": 74, "ordinal_position": 75}, {"identifier": "Y17", "position": [1, 1], "step": 75, "ordinal_position": 76}, {"identifier": "B68", "position": [2, 1], "step": 76, "ordinal_position": 77}, {"identifier": "B40", "position": [3, 1], "step": 77, "ordinal_position": 78}, {"identifier": "Y94", "position": [4, 1], "step": 78, "ordinal_position": 79}, {"identifier": "H06", "position": [5, 1], "step": 79, "ordinal_position": 80}, {"identifier": "Z03", "position": [6, 1], "step": 80, "ordinal_position": 81}, {"identifier": "W01", "position": [7, 1], "step": 81, "ordinal_position": 82}, {"identifier": "U34", "position": [8, 1], "step": 82, "ordinal_position": 83}, {"identifier": "O22", "position": [9, 1], "step": 83, "ordinal_position": 84}, {"identifier": "X46", "position": [9, 2], "step": 84, "ordinal_position": 85}, {"identifier": "I09", "position": [9, 3], "step": 85, "ordinal_position": 86}, {"identifier": "X92", "position": [9, 4], "step": 86, "ordinal_position": 87}, {"identifier": "J69", "position": [9, 5], "step": 87, "ordinal_position": 88}, {"identifier": "R39", "position": [9, 6], "step": 88, "ordinal_position": 89}, {"identifier": "A33", "position": [9, 7], "step": 89, "ordinal_position": 90}, {"identifier": "E58", "position": [9, 8], "step": 90, "ordinal_position": 91}, {"identifier": "B76", "position": [9, 9], "step": 91, "ordinal_position": 92}, {"identifier": "D42", "position": [8, 9], "step": 92, "ordinal_position": 93}, {"identifier": "A15", "position": [7, 9], "step": 93, "ordinal_position": 94}, {"identifier": "I31", "position": [6, 9], "step": 94, "ordinal_position": 95}, {"identifier": "U51", "position": [5, 9], "step": 95, "ordinal_position": 96}, {"identifier": "Y44", "position": [4, 9], "step": 96, "ordinal_position": 97}, {"identifier": "R20", "position": [3, 9], "step": 97, "ordinal_position": 98}, {"identifier": "N52", "position": [2, 9], "step": 98, "ordinal_position": 99}, {"identifier": "G62", "position": [1, 9], "step": 99, "ordinal_position": 100}, {"identifier": "D82", "position": [1, 8], "step": 100, "ordinal_position": 101}, {"identifier": "Q48", "position": [1, 7], "step": 101, "ordinal_position": 102}, {"identifier": "X70", "position": [1, 6], "step": 102, "ordinal_position": 103}, {"identifier": "X56", "position": [1, 5], "step": 103, "ordinal_position": 104}, {"identifier": "V38", "position": [1, 4], "step": 104, "ordinal_position": 105}, {"identifier": "A71", "position": [1, 3], "step": 105, "ordinal_position": 106}, {"identifier": "I11", "position": [1, 2], "step": 106, "ordinal_position": 107}, {"identifier": "Y17", "position": [1, 1], "step": 107, "ordinal_position": 108}, {"identifier": "B68", "position": [2, 1], "step": 108, "ordinal_position": 109}, {"identifier": "B40", "position": [3, 1], "step": 109, "ordinal_position": 110}, {"identifier": "Y94", "position": [4, 1], "step": 110, "ordinal_position": 111}, {"identifier": "H06", "position": [5, 1], "step": 111, "ordinal_position": 112}, {"identifier": "Z03", "position": [6, 1], "step": 112, "ordinal_position": 113}, {"identifier": "W01", "position": [7, 1], "step": 113, "ordinal_position": 114}, {"identifier": "U34", "position": [8, 1], "step": 114, "ordinal_position": 115}, {"identifier": "O22", "position": [9, 1], "step": 115, "ordinal_position": 116}, {"identifier": "X46", "position": [9, 2], "step": 116, "ordinal_position": 117}, {"identifier": "I09", "position": [9, 3], "step": 117, "ordinal_position": 118}, {"identifier": "X92", "position": [9, 4], "step": 118, "ordinal_position": 119}, {"identifier": "J69", "position": [9, 5], "step": 119, "ordinal_position": 120}, {"identifier": "R39", "position": [9, 6], "step": 120, "ordinal_position": 121}, {"identifier": "A33", "position": [9, 7], "step": 121, "ordinal_position": 122}, {"identifier": "E58", "position": [9, 8], "step": 122, "ordinal_position": 123}, {"identifier": "B76", "position": [9, 9], "step": 123, "ordinal_position": 124}, {"identifier": "D42", "position": [8, 9], "step": 124, "ordinal_position": 125}, {"identifier": "A15", "position": [7, 9], "step": 125, "ordinal_position": 126}, {"identifier": "I31", "position": [6, 9], "step": 126, "ordinal_position": 127}, {"identifier": "U51", "position": [5, 9], "step": 127, "ordinal_position": 128}, {"identifier": "Y44", "position": [4, 9], "step": 128, "ordinal_position": 129}, {"identifier": "R20", "position": [3, 9], "step": 129, "ordinal_position": 130}, {"identifier": "N52", "position": [2, 9], "step": 130, "ordinal_position": 131}, {"identifier": "G62", "position": [1, 9], "step": 131, "ordinal_position": 132}, {"identifier": "D82", "position": [1, 8], "step": 132, "ordinal_position": 133}, {"identifier": "Q48", "position": [1, 7], "step": 133, "ordinal_position": 134}, {"identifier": "X70", "position": [1, 6], "step": 134, "ordinal_position": 135}, {"identifier": "X56", "position": [1, 5], "step": 135, "ordinal_position": 136}, {"identifier": "V38", "position": [1, 4], "step": 136, "ordinal_position": 137}, {"identifier": "A71", "position": [1, 3], "step": 137, "ordinal_position": 138}, {"identifier": "I11", "position": [1, 2], "step": 138, "ordinal_position": 139}, {"identifier": "Y17", "position": [1, 1], "step": 139, "ordinal_position": 140}, {"identifier": "B68", "position": [2, 1], "step": 140, "ordinal_position": 141}, {"identifier": "B40", "position": [3, 1], "step": 141, "ordinal_position": 142}, {"identifier": "Y94", "position": [4, 1], "step": 142, "ordinal_position": 143}, {"identifier": "H06", "position": [5, 1], "step": 143, "ordinal_position": 144}, {"identifier": "Z03", "position": [6, 1], "step": 144, "ordinal_position": 145}, {"identifier": "W01", "position": [7, 1], "step": 145, "ordinal_position": 146}, {"identifier": "U34", "position": [8, 1], "step": 146, "ordinal_position": 147}, {"identifier": "O22", "position": [9, 1], "step": 147, "ordinal_position": 148}, {"identifier": "X46", "position": [9, 2], "step": 148, "ordinal_position": 149}, {"identifier": "I09", "position": [9, 3], "step": 149, "ordinal_position": 150}, {"identifier": "X92", "position": [9, 4], "step": 150, "ordinal_position": 151}, {"identifier": "J69", "position": [9, 5], "step": 151, "ordinal_position": 152}, {"identifier": "R39", "position": [9, 6], "step": 152, "ordinal_position": 153}, {"identifier": "A33", "position": [9, 7], "step": 153, "ordinal_position": 154}, {"identifier": "E58", "position": [9, 8], "step": 154, "ordinal_position": 155}, {"identifier": "B76", "position": [9, 9], "step": 155, "ordinal_position": 156}, {"identifier": "D42", "position": [8, 9], "step": 156, "ordinal_position": 157}, {"identifier": "A15", "position": [7, 9], "step": 157, "ordinal_position": 158}, {"identifier": "I31", "position": [6, 9], "step": 158, "ordinal_position": 159}, {"identifier": "U51", "position": [5, 9], "step": 159, "ordinal_position": 160}, {"identifier": "Y44", "position": [4, 9], "step": 160, "ordinal_position": 161}, {"identifier": "R20", "position": [3, 9], "step": 161, "ordinal_position": 162}, {"identifier": "N52", "position": [2, 9], "step": 162, "ordinal_position": 163}, {"identifier": "G62", "position": [1, 9], "step": 163, "ordinal_position": 164}, {"identifier": "D82", "position": [1, 8], "step": 164, "ordinal_position": 165}, {"identifier": "Q48", "position": [1, 7], "step": 165, "ordinal_position": 166}, {"identifier": "X70", "position": [1, 6], "step": 166, "ordinal_position": 167}, {"identifier": "X56", "position": [1, 5], "step": 167, "ordinal_position": 168}, {"identifier": "V38", "position": [1, 4], "step": 168, "ordinal_position": 169}, {"identifier": "A71", "position": [1, 3], "step": 169, "ordinal_position": 170}, {"identifier": "I11", "position": [1, 2], "step": 170, "ordinal_position": 171}, {"identifier": "Y17", "position": [1, 1], "step": 171, "ordinal_position": 172}, {"identifier": "B68", "position": [2, 1], "step": 172, "ordinal_position": 173}, {"identifier": "B40", "position": [3, 1], "step": 173, "ordinal_position": 174}, {"identifier": "Y94", "position": [4, 1], "step": 174, "ordinal_position": 175}, {"identifier": "H06", "position": [5, 1], "step": 175, "ordinal_position": 176}, {"identifier": "Z03", "position": [6, 1], "step": 176, "ordinal_position": 177}, {"identifier": "W01", "position": [7, 1], "step": 177, "ordinal_position": 178}, {"identifier": "U34", "position": [8, 1], "step": 178, "ordinal_position": 179}, {"identifier": "O22", "position": [9, 1], "step": 179, "ordinal_position": 180}, {"identifier": "X46", "position": [9, 2], "step": 180, "ordinal_position": 181}, {"identifier": "I09", "position": [9, 3], "step": 181, "ordinal_position": 182}, {"identifier": "X92", "position": [9, 4], "step": 182, "ordinal_position": 183}, {"identifier": "J69", "position": [9, 5], "step": 183, "ordinal_position": 184}, {"identifier": "R39", "position": [9, 6], "step": 184, "ordinal_position": 185}, {"identifier": "A33", "position": [9, 7], "step": 185, "ordinal_position": 186}, {"identifier": "E58", "position": [9, 8], "step": 186, "ordinal_position": 187}, {"identifier": "B76", "position": [9, 9], "step": 187, "ordinal_position": 188}, {"identifier": "D42", "position": [8, 9], "step": 188, "ordinal_position": 189}, {"identifier": "A15", "position": [7, 9], "step": 189, "ordinal_position": 190}, {"identifier": "I31", "position": [6, 9], "step": 190, "ordinal_position": 191}, {"identifier": "U51", "position": [5, 9], "step": 191, "ordinal_position": 192}, {"identifier": "Y44", "position": [4, 9], "step": 192, "ordinal_position": 193}, {"identifier": "R20", "position": [3, 9], "step": 193, "ordinal_position": 194}, {"identifier": "N52", "position": [2, 9], "step": 194, "ordinal_position": 195}, {"identifier": "G62", "position": [1, 9], "step": 195, "ordinal_position": 196}, {"identifier": "D82", "position": [1, 8], "step": 196, "ordinal_position": 197}, {"identifier": "Q48", "position": [1, 7], "step": 197, "ordinal_position": 198}, {"identifier": "X70", "position": [1, 6], "step": 198, "ordinal_position": 199}, {"identifier": "X56", "position": [1, 5], "step": 199, "ordinal_position": 200}, {"identifier": "V38", "position": [1, 4], "step": 200, "ordinal_position": 201}, {"identifier": "A71", "position": [1, 3], "step": 201, "ordinal_position": 202}, {"identifier": "I11", "position": [1, 2], "step": 202, "ordinal_position": 203}, {"identifier": "Y17", "position": [1, 1], "step": 203, "ordinal_position": 204}, {"identifier": "B68", "position": [2, 1], "step": 204, "ordinal_position": 205}, {"identifier": "B40", "position": [3, 1], "step": 205, "ordinal_position": 206}, {"identifier": "Y94", "position": [4, 1], "step": 206, "ordinal_position": 207}, {"identifier": "H06", "position": [5, 1], "step": 207, "ordinal_position": 208}, {"identifier": "Z03", "position": [6, 1], "step": 208, "ordinal_position": 209}, {"identifier": "W01", "position": [7, 1], "step": 209, "ordinal_position": 210}, {"identifier": "U34", "position": [8, 1], "step": 210, "ordinal_position": 211}, {"identifier": "O22", "position": [9, 1], "step": 211, "ordinal_position": 212}, {"identifier": "X46", "position": [9, 2], "step": 212, "ordinal_position": 213}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 213, "direction": "left", "turn_preference": "right", "total_objects": 54, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_009.json"}} {"qa_id": "5b636535e0c14dd2b8ad572bb5390148", "image_id": "L3-MazeLoop-test_11x11_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N43, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "N43", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "M39", "traversal_path": [{"identifier": "N43", "position": [1, 1], "step": 0, "ordinal_position": 1}, {"identifier": "X94", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "W31", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "G81", "position": [3, 2], "step": 3, "ordinal_position": 4}, {"identifier": "Z28", "position": [3, 3], "step": 4, "ordinal_position": 5}, {"identifier": "C66", "position": [4, 3], "step": 5, "ordinal_position": 6}, {"identifier": "H13", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "M39", "position": [5, 2], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 8, "direction": "right", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_010.json"}} {"qa_id": "cd5b76605a064a92b3c72cf4f7bc8f7b", "image_id": "L3-MazeLoop-test_11x11_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G40, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "G40", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "G75", "traversal_path": [{"identifier": "G40", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "P32", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "H21", "position": [3, 6], "step": 2, "ordinal_position": 3}, {"identifier": "B78", "position": [3, 7], "step": 3, "ordinal_position": 4}, {"identifier": "B30", "position": [2, 7], "step": 4, "ordinal_position": 5}, {"identifier": "D31", "position": [1, 7], "step": 5, "ordinal_position": 6}, {"identifier": "G75", "position": [1, 8], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 7, "direction": "right", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_010.json"}} {"qa_id": "d2b973c7b8224b6593b9f001935caa18", "image_id": "L3-MazeLoop-test_11x11_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J16, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 9th position in this traversal?", "start_object_id": "J16", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [9], "ordinal_strings": ["9th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "J18", "traversal_path": [{"identifier": "J16", "position": [9, 5], "step": 0, "ordinal_position": 1}, {"identifier": "T66", "position": [8, 5], "step": 1, "ordinal_position": 2}, {"identifier": "B51", "position": [7, 5], "step": 2, "ordinal_position": 3}, {"identifier": "A20", "position": [6, 5], "step": 3, "ordinal_position": 4}, {"identifier": "K05", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "X23", "position": [5, 6], "step": 5, "ordinal_position": 6}, {"identifier": "Y84", "position": [5, 7], "step": 6, "ordinal_position": 7}, {"identifier": "R85", "position": [5, 8], "step": 7, "ordinal_position": 8}, {"identifier": "J18", "position": [5, 9], "step": 8, "ordinal_position": 9}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 9, "direction": "left", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_010.json"}} {"qa_id": "6ebcd8bc099c4d1e8ea70a918c214c1d", "image_id": "L3-MazeLoop-test_11x11_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R80, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "R80", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "N29", "traversal_path": [{"identifier": "R80", "position": [9, 9], "step": 0, "ordinal_position": 1}, {"identifier": "S66", "position": [8, 9], "step": 1, "ordinal_position": 2}, {"identifier": "N29", "position": [7, 9], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 3, "direction": "left", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_010.json"}} {"qa_id": "0db3d00bd5e14044bceda4492ad9f7ea", "image_id": "L3-MazeLoop-test_11x11_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R85, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "R85", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "G13", "traversal_path": [{"identifier": "R85", "position": [5, 8], "step": 0, "ordinal_position": 1}, {"identifier": "J18", "position": [5, 9], "step": 1, "ordinal_position": 2}, {"identifier": "G13", "position": [4, 9], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 3, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_010.json"}} {"qa_id": "e3a73f25c4ad494e9167cf9b5ebbb4a1", "image_id": "L3-MazeLoop-test_11x11_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W31, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 94th position in this traversal?", "start_object_id": "W31", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [94], "ordinal_strings": ["94th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "E89", "traversal_path": [{"identifier": "W31", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "X94", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "N43", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "S25", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "O23", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "S08", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "F87", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "G40", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "P32", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "H21", "position": [3, 6], "step": 9, "ordinal_position": 10}, {"identifier": "B78", "position": [3, 7], "step": 10, "ordinal_position": 11}, {"identifier": "B30", "position": [2, 7], "step": 11, "ordinal_position": 12}, {"identifier": "D31", "position": [1, 7], "step": 12, "ordinal_position": 13}, {"identifier": "G75", "position": [1, 8], "step": 13, "ordinal_position": 14}, {"identifier": "P74", "position": [1, 9], "step": 14, "ordinal_position": 15}, {"identifier": "H82", "position": [2, 9], "step": 15, "ordinal_position": 16}, {"identifier": "U34", "position": [3, 9], "step": 16, "ordinal_position": 17}, {"identifier": "G13", "position": [4, 9], "step": 17, "ordinal_position": 18}, {"identifier": "J18", "position": [5, 9], "step": 18, "ordinal_position": 19}, {"identifier": "R85", "position": [5, 8], "step": 19, "ordinal_position": 20}, {"identifier": "Y84", "position": [5, 7], "step": 20, "ordinal_position": 21}, {"identifier": "X23", "position": [5, 6], "step": 21, "ordinal_position": 22}, {"identifier": "K05", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "A20", "position": [6, 5], "step": 23, "ordinal_position": 24}, {"identifier": "B51", "position": [7, 5], "step": 24, "ordinal_position": 25}, {"identifier": "T66", "position": [8, 5], "step": 25, "ordinal_position": 26}, {"identifier": "J16", "position": [9, 5], "step": 26, "ordinal_position": 27}, {"identifier": "K93", "position": [9, 6], "step": 27, "ordinal_position": 28}, {"identifier": "L25", "position": [9, 7], "step": 28, "ordinal_position": 29}, {"identifier": "E89", "position": [9, 8], "step": 29, "ordinal_position": 30}, {"identifier": "R80", "position": [9, 9], "step": 30, "ordinal_position": 31}, {"identifier": "S66", "position": [8, 9], "step": 31, "ordinal_position": 32}, {"identifier": "N29", "position": [7, 9], "step": 32, "ordinal_position": 33}, {"identifier": "C95", "position": [7, 8], "step": 33, "ordinal_position": 34}, {"identifier": "D95", "position": [7, 7], "step": 34, "ordinal_position": 35}, {"identifier": "Q91", "position": [8, 7], "step": 35, "ordinal_position": 36}, {"identifier": "L25", "position": [9, 7], "step": 36, "ordinal_position": 37}, {"identifier": "E89", "position": [9, 8], "step": 37, "ordinal_position": 38}, {"identifier": "R80", "position": [9, 9], "step": 38, "ordinal_position": 39}, {"identifier": "S66", "position": [8, 9], "step": 39, "ordinal_position": 40}, {"identifier": "N29", "position": [7, 9], "step": 40, "ordinal_position": 41}, {"identifier": "C95", "position": [7, 8], "step": 41, "ordinal_position": 42}, {"identifier": "D95", "position": [7, 7], "step": 42, "ordinal_position": 43}, {"identifier": "Q91", "position": [8, 7], "step": 43, "ordinal_position": 44}, {"identifier": "L25", "position": [9, 7], "step": 44, "ordinal_position": 45}, {"identifier": "E89", "position": [9, 8], "step": 45, "ordinal_position": 46}, {"identifier": "R80", "position": [9, 9], "step": 46, "ordinal_position": 47}, {"identifier": "S66", "position": [8, 9], "step": 47, "ordinal_position": 48}, {"identifier": "N29", "position": [7, 9], "step": 48, "ordinal_position": 49}, {"identifier": "C95", "position": [7, 8], "step": 49, "ordinal_position": 50}, {"identifier": "D95", "position": [7, 7], "step": 50, "ordinal_position": 51}, {"identifier": "Q91", "position": [8, 7], "step": 51, "ordinal_position": 52}, {"identifier": "L25", "position": [9, 7], "step": 52, "ordinal_position": 53}, {"identifier": "E89", "position": [9, 8], "step": 53, "ordinal_position": 54}, {"identifier": "R80", "position": [9, 9], "step": 54, "ordinal_position": 55}, {"identifier": "S66", "position": [8, 9], "step": 55, "ordinal_position": 56}, {"identifier": "N29", "position": [7, 9], "step": 56, "ordinal_position": 57}, {"identifier": "C95", "position": [7, 8], "step": 57, "ordinal_position": 58}, {"identifier": "D95", "position": [7, 7], "step": 58, "ordinal_position": 59}, {"identifier": "Q91", "position": [8, 7], "step": 59, "ordinal_position": 60}, {"identifier": "L25", "position": [9, 7], "step": 60, "ordinal_position": 61}, {"identifier": "E89", "position": [9, 8], "step": 61, "ordinal_position": 62}, {"identifier": "R80", "position": [9, 9], "step": 62, "ordinal_position": 63}, {"identifier": "S66", "position": [8, 9], "step": 63, "ordinal_position": 64}, {"identifier": "N29", "position": [7, 9], "step": 64, "ordinal_position": 65}, {"identifier": "C95", "position": [7, 8], "step": 65, "ordinal_position": 66}, {"identifier": "D95", "position": [7, 7], "step": 66, "ordinal_position": 67}, {"identifier": "Q91", "position": [8, 7], "step": 67, "ordinal_position": 68}, {"identifier": "L25", "position": [9, 7], "step": 68, "ordinal_position": 69}, {"identifier": "E89", "position": [9, 8], "step": 69, "ordinal_position": 70}, {"identifier": "R80", "position": [9, 9], "step": 70, "ordinal_position": 71}, {"identifier": "S66", "position": [8, 9], "step": 71, "ordinal_position": 72}, {"identifier": "N29", "position": [7, 9], "step": 72, "ordinal_position": 73}, {"identifier": "C95", "position": [7, 8], "step": 73, "ordinal_position": 74}, {"identifier": "D95", "position": [7, 7], "step": 74, "ordinal_position": 75}, {"identifier": "Q91", "position": [8, 7], "step": 75, "ordinal_position": 76}, {"identifier": "L25", "position": [9, 7], "step": 76, "ordinal_position": 77}, {"identifier": "E89", "position": [9, 8], "step": 77, "ordinal_position": 78}, {"identifier": "R80", "position": [9, 9], "step": 78, "ordinal_position": 79}, {"identifier": "S66", "position": [8, 9], "step": 79, "ordinal_position": 80}, {"identifier": "N29", "position": [7, 9], "step": 80, "ordinal_position": 81}, {"identifier": "C95", "position": [7, 8], "step": 81, "ordinal_position": 82}, {"identifier": "D95", "position": [7, 7], "step": 82, "ordinal_position": 83}, {"identifier": "Q91", "position": [8, 7], "step": 83, "ordinal_position": 84}, {"identifier": "L25", "position": [9, 7], "step": 84, "ordinal_position": 85}, {"identifier": "E89", "position": [9, 8], "step": 85, "ordinal_position": 86}, {"identifier": "R80", "position": [9, 9], "step": 86, "ordinal_position": 87}, {"identifier": "S66", "position": [8, 9], "step": 87, "ordinal_position": 88}, {"identifier": "N29", "position": [7, 9], "step": 88, "ordinal_position": 89}, {"identifier": "C95", "position": [7, 8], "step": 89, "ordinal_position": 90}, {"identifier": "D95", "position": [7, 7], "step": 90, "ordinal_position": 91}, {"identifier": "Q91", "position": [8, 7], "step": 91, "ordinal_position": 92}, {"identifier": "L25", "position": [9, 7], "step": 92, "ordinal_position": 93}, {"identifier": "E89", "position": [9, 8], "step": 93, "ordinal_position": 94}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 94, "direction": "left", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_010.json"}} {"qa_id": "cc86be794f6c40c8a6cc3f1a89ed711e", "image_id": "L3-MazeLoop-test_11x11_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H30, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 82nd position in this traversal?", "start_object_id": "H30", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [82], "ordinal_strings": ["82nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "C95", "traversal_path": [{"identifier": "H30", "position": [9, 3], "step": 0, "ordinal_position": 1}, {"identifier": "T25", "position": [9, 4], "step": 1, "ordinal_position": 2}, {"identifier": "J16", "position": [9, 5], "step": 2, "ordinal_position": 3}, {"identifier": "K93", "position": [9, 6], "step": 3, "ordinal_position": 4}, {"identifier": "L25", "position": [9, 7], "step": 4, "ordinal_position": 5}, {"identifier": "E89", "position": [9, 8], "step": 5, "ordinal_position": 6}, {"identifier": "R80", "position": [9, 9], "step": 6, "ordinal_position": 7}, {"identifier": "S66", "position": [8, 9], "step": 7, "ordinal_position": 8}, {"identifier": "N29", "position": [7, 9], "step": 8, "ordinal_position": 9}, {"identifier": "C95", "position": [7, 8], "step": 9, "ordinal_position": 10}, {"identifier": "D95", "position": [7, 7], "step": 10, "ordinal_position": 11}, {"identifier": "Q91", "position": [8, 7], "step": 11, "ordinal_position": 12}, {"identifier": "L25", "position": [9, 7], "step": 12, "ordinal_position": 13}, {"identifier": "E89", "position": [9, 8], "step": 13, "ordinal_position": 14}, {"identifier": "R80", "position": [9, 9], "step": 14, "ordinal_position": 15}, {"identifier": "S66", "position": [8, 9], "step": 15, "ordinal_position": 16}, {"identifier": "N29", "position": [7, 9], "step": 16, "ordinal_position": 17}, {"identifier": "C95", "position": [7, 8], "step": 17, "ordinal_position": 18}, {"identifier": "D95", "position": [7, 7], "step": 18, "ordinal_position": 19}, {"identifier": "Q91", "position": [8, 7], "step": 19, "ordinal_position": 20}, {"identifier": "L25", "position": [9, 7], "step": 20, "ordinal_position": 21}, {"identifier": "E89", "position": [9, 8], "step": 21, "ordinal_position": 22}, {"identifier": "R80", "position": [9, 9], "step": 22, "ordinal_position": 23}, {"identifier": "S66", "position": [8, 9], "step": 23, "ordinal_position": 24}, {"identifier": "N29", "position": [7, 9], "step": 24, "ordinal_position": 25}, {"identifier": "C95", "position": [7, 8], "step": 25, "ordinal_position": 26}, {"identifier": "D95", "position": [7, 7], "step": 26, "ordinal_position": 27}, {"identifier": "Q91", "position": [8, 7], "step": 27, "ordinal_position": 28}, {"identifier": "L25", "position": [9, 7], "step": 28, "ordinal_position": 29}, {"identifier": "E89", "position": [9, 8], "step": 29, "ordinal_position": 30}, {"identifier": "R80", "position": [9, 9], "step": 30, "ordinal_position": 31}, {"identifier": "S66", "position": [8, 9], "step": 31, "ordinal_position": 32}, {"identifier": "N29", "position": [7, 9], "step": 32, "ordinal_position": 33}, {"identifier": "C95", "position": [7, 8], "step": 33, "ordinal_position": 34}, {"identifier": "D95", "position": [7, 7], "step": 34, "ordinal_position": 35}, {"identifier": "Q91", "position": [8, 7], "step": 35, "ordinal_position": 36}, {"identifier": "L25", "position": [9, 7], "step": 36, "ordinal_position": 37}, {"identifier": "E89", "position": [9, 8], "step": 37, "ordinal_position": 38}, {"identifier": "R80", "position": [9, 9], "step": 38, "ordinal_position": 39}, {"identifier": "S66", "position": [8, 9], "step": 39, "ordinal_position": 40}, {"identifier": "N29", "position": [7, 9], "step": 40, "ordinal_position": 41}, {"identifier": "C95", "position": [7, 8], "step": 41, "ordinal_position": 42}, {"identifier": "D95", "position": [7, 7], "step": 42, "ordinal_position": 43}, {"identifier": "Q91", "position": [8, 7], "step": 43, "ordinal_position": 44}, {"identifier": "L25", "position": [9, 7], "step": 44, "ordinal_position": 45}, {"identifier": "E89", "position": [9, 8], "step": 45, "ordinal_position": 46}, {"identifier": "R80", "position": [9, 9], "step": 46, "ordinal_position": 47}, {"identifier": "S66", "position": [8, 9], "step": 47, "ordinal_position": 48}, {"identifier": "N29", "position": [7, 9], "step": 48, "ordinal_position": 49}, {"identifier": "C95", "position": [7, 8], "step": 49, "ordinal_position": 50}, {"identifier": "D95", "position": [7, 7], "step": 50, "ordinal_position": 51}, {"identifier": "Q91", "position": [8, 7], "step": 51, "ordinal_position": 52}, {"identifier": "L25", "position": [9, 7], "step": 52, "ordinal_position": 53}, {"identifier": "E89", "position": [9, 8], "step": 53, "ordinal_position": 54}, {"identifier": "R80", "position": [9, 9], "step": 54, "ordinal_position": 55}, {"identifier": "S66", "position": [8, 9], "step": 55, "ordinal_position": 56}, {"identifier": "N29", "position": [7, 9], "step": 56, "ordinal_position": 57}, {"identifier": "C95", "position": [7, 8], "step": 57, "ordinal_position": 58}, {"identifier": "D95", "position": [7, 7], "step": 58, "ordinal_position": 59}, {"identifier": "Q91", "position": [8, 7], "step": 59, "ordinal_position": 60}, {"identifier": "L25", "position": [9, 7], "step": 60, "ordinal_position": 61}, {"identifier": "E89", "position": [9, 8], "step": 61, "ordinal_position": 62}, {"identifier": "R80", "position": [9, 9], "step": 62, "ordinal_position": 63}, {"identifier": "S66", "position": [8, 9], "step": 63, "ordinal_position": 64}, {"identifier": "N29", "position": [7, 9], "step": 64, "ordinal_position": 65}, {"identifier": "C95", "position": [7, 8], "step": 65, "ordinal_position": 66}, {"identifier": "D95", "position": [7, 7], "step": 66, "ordinal_position": 67}, {"identifier": "Q91", "position": [8, 7], "step": 67, "ordinal_position": 68}, {"identifier": "L25", "position": [9, 7], "step": 68, "ordinal_position": 69}, {"identifier": "E89", "position": [9, 8], "step": 69, "ordinal_position": 70}, {"identifier": "R80", "position": [9, 9], "step": 70, "ordinal_position": 71}, {"identifier": "S66", "position": [8, 9], "step": 71, "ordinal_position": 72}, {"identifier": "N29", "position": [7, 9], "step": 72, "ordinal_position": 73}, {"identifier": "C95", "position": [7, 8], "step": 73, "ordinal_position": 74}, {"identifier": "D95", "position": [7, 7], "step": 74, "ordinal_position": 75}, {"identifier": "Q91", "position": [8, 7], "step": 75, "ordinal_position": 76}, {"identifier": "L25", "position": [9, 7], "step": 76, "ordinal_position": 77}, {"identifier": "E89", "position": [9, 8], "step": 77, "ordinal_position": 78}, {"identifier": "R80", "position": [9, 9], "step": 78, "ordinal_position": 79}, {"identifier": "S66", "position": [8, 9], "step": 79, "ordinal_position": 80}, {"identifier": "N29", "position": [7, 9], "step": 80, "ordinal_position": 81}, {"identifier": "C95", "position": [7, 8], "step": 81, "ordinal_position": 82}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 82, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_010.json"}} {"qa_id": "1388cd0c76b74554ac3be4f77600af52", "image_id": "L3-MazeLoop-test_11x11_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H13, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 81st position in this traversal?", "start_object_id": "H13", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [81], "ordinal_strings": ["81st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "N29", "traversal_path": [{"identifier": "H13", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "M39", "position": [5, 2], "step": 1, "ordinal_position": 2}, {"identifier": "J76", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "V37", "position": [6, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Y62", "position": [7, 1], "step": 4, "ordinal_position": 5}, {"identifier": "M33", "position": [8, 1], "step": 5, "ordinal_position": 6}, {"identifier": "V85", "position": [9, 1], "step": 6, "ordinal_position": 7}, {"identifier": "O28", "position": [9, 2], "step": 7, "ordinal_position": 8}, {"identifier": "H30", "position": [9, 3], "step": 8, "ordinal_position": 9}, {"identifier": "T25", "position": [9, 4], "step": 9, "ordinal_position": 10}, {"identifier": "J16", "position": [9, 5], "step": 10, "ordinal_position": 11}, {"identifier": "K93", "position": [9, 6], "step": 11, "ordinal_position": 12}, {"identifier": "L25", "position": [9, 7], "step": 12, "ordinal_position": 13}, {"identifier": "E89", "position": [9, 8], "step": 13, "ordinal_position": 14}, {"identifier": "R80", "position": [9, 9], "step": 14, "ordinal_position": 15}, {"identifier": "S66", "position": [8, 9], "step": 15, "ordinal_position": 16}, {"identifier": "N29", "position": [7, 9], "step": 16, "ordinal_position": 17}, {"identifier": "C95", "position": [7, 8], "step": 17, "ordinal_position": 18}, {"identifier": "D95", "position": [7, 7], "step": 18, "ordinal_position": 19}, {"identifier": "Q91", "position": [8, 7], "step": 19, "ordinal_position": 20}, {"identifier": "L25", "position": [9, 7], "step": 20, "ordinal_position": 21}, {"identifier": "E89", "position": [9, 8], "step": 21, "ordinal_position": 22}, {"identifier": "R80", "position": [9, 9], "step": 22, "ordinal_position": 23}, {"identifier": "S66", "position": [8, 9], "step": 23, "ordinal_position": 24}, {"identifier": "N29", "position": [7, 9], "step": 24, "ordinal_position": 25}, {"identifier": "C95", "position": [7, 8], "step": 25, "ordinal_position": 26}, {"identifier": "D95", "position": [7, 7], "step": 26, "ordinal_position": 27}, {"identifier": "Q91", "position": [8, 7], "step": 27, "ordinal_position": 28}, {"identifier": "L25", "position": [9, 7], "step": 28, "ordinal_position": 29}, {"identifier": "E89", "position": [9, 8], "step": 29, "ordinal_position": 30}, {"identifier": "R80", "position": [9, 9], "step": 30, "ordinal_position": 31}, {"identifier": "S66", "position": [8, 9], "step": 31, "ordinal_position": 32}, {"identifier": "N29", "position": [7, 9], "step": 32, "ordinal_position": 33}, {"identifier": "C95", "position": [7, 8], "step": 33, "ordinal_position": 34}, {"identifier": "D95", "position": [7, 7], "step": 34, "ordinal_position": 35}, {"identifier": "Q91", "position": [8, 7], "step": 35, "ordinal_position": 36}, {"identifier": "L25", "position": [9, 7], "step": 36, "ordinal_position": 37}, {"identifier": "E89", "position": [9, 8], "step": 37, "ordinal_position": 38}, {"identifier": "R80", "position": [9, 9], "step": 38, "ordinal_position": 39}, {"identifier": "S66", "position": [8, 9], "step": 39, "ordinal_position": 40}, {"identifier": "N29", "position": [7, 9], "step": 40, "ordinal_position": 41}, {"identifier": "C95", "position": [7, 8], "step": 41, "ordinal_position": 42}, {"identifier": "D95", "position": [7, 7], "step": 42, "ordinal_position": 43}, {"identifier": "Q91", "position": [8, 7], "step": 43, "ordinal_position": 44}, {"identifier": "L25", "position": [9, 7], "step": 44, "ordinal_position": 45}, {"identifier": "E89", "position": [9, 8], "step": 45, "ordinal_position": 46}, {"identifier": "R80", "position": [9, 9], "step": 46, "ordinal_position": 47}, {"identifier": "S66", "position": [8, 9], "step": 47, "ordinal_position": 48}, {"identifier": "N29", "position": [7, 9], "step": 48, "ordinal_position": 49}, {"identifier": "C95", "position": [7, 8], "step": 49, "ordinal_position": 50}, {"identifier": "D95", "position": [7, 7], "step": 50, "ordinal_position": 51}, {"identifier": "Q91", "position": [8, 7], "step": 51, "ordinal_position": 52}, {"identifier": "L25", "position": [9, 7], "step": 52, "ordinal_position": 53}, {"identifier": "E89", "position": [9, 8], "step": 53, "ordinal_position": 54}, {"identifier": "R80", "position": [9, 9], "step": 54, "ordinal_position": 55}, {"identifier": "S66", "position": [8, 9], "step": 55, "ordinal_position": 56}, {"identifier": "N29", "position": [7, 9], "step": 56, "ordinal_position": 57}, {"identifier": "C95", "position": [7, 8], "step": 57, "ordinal_position": 58}, {"identifier": "D95", "position": [7, 7], "step": 58, "ordinal_position": 59}, {"identifier": "Q91", "position": [8, 7], "step": 59, "ordinal_position": 60}, {"identifier": "L25", "position": [9, 7], "step": 60, "ordinal_position": 61}, {"identifier": "E89", "position": [9, 8], "step": 61, "ordinal_position": 62}, {"identifier": "R80", "position": [9, 9], "step": 62, "ordinal_position": 63}, {"identifier": "S66", "position": [8, 9], "step": 63, "ordinal_position": 64}, {"identifier": "N29", "position": [7, 9], "step": 64, "ordinal_position": 65}, {"identifier": "C95", "position": [7, 8], "step": 65, "ordinal_position": 66}, {"identifier": "D95", "position": [7, 7], "step": 66, "ordinal_position": 67}, {"identifier": "Q91", "position": [8, 7], "step": 67, "ordinal_position": 68}, {"identifier": "L25", "position": [9, 7], "step": 68, "ordinal_position": 69}, {"identifier": "E89", "position": [9, 8], "step": 69, "ordinal_position": 70}, {"identifier": "R80", "position": [9, 9], "step": 70, "ordinal_position": 71}, {"identifier": "S66", "position": [8, 9], "step": 71, "ordinal_position": 72}, {"identifier": "N29", "position": [7, 9], "step": 72, "ordinal_position": 73}, {"identifier": "C95", "position": [7, 8], "step": 73, "ordinal_position": 74}, {"identifier": "D95", "position": [7, 7], "step": 74, "ordinal_position": 75}, {"identifier": "Q91", "position": [8, 7], "step": 75, "ordinal_position": 76}, {"identifier": "L25", "position": [9, 7], "step": 76, "ordinal_position": 77}, {"identifier": "E89", "position": [9, 8], "step": 77, "ordinal_position": 78}, {"identifier": "R80", "position": [9, 9], "step": 78, "ordinal_position": 79}, {"identifier": "S66", "position": [8, 9], "step": 79, "ordinal_position": 80}, {"identifier": "N29", "position": [7, 9], "step": 80, "ordinal_position": 81}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 81, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_010.json"}} {"qa_id": "f447634ea42d4c53af0beeef45429de4", "image_id": "L3-MazeLoop-test_11x11_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z28, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 61st position in this traversal?", "start_object_id": "Z28", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [61], "ordinal_strings": ["61st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "D95", "traversal_path": [{"identifier": "Z28", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "C66", "position": [4, 3], "step": 1, "ordinal_position": 2}, {"identifier": "H13", "position": [5, 3], "step": 2, "ordinal_position": 3}, {"identifier": "M39", "position": [5, 2], "step": 3, "ordinal_position": 4}, {"identifier": "J76", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "V37", "position": [6, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Y62", "position": [7, 1], "step": 6, "ordinal_position": 7}, {"identifier": "M33", "position": [8, 1], "step": 7, "ordinal_position": 8}, {"identifier": "V85", "position": [9, 1], "step": 8, "ordinal_position": 9}, {"identifier": "O28", "position": [9, 2], "step": 9, "ordinal_position": 10}, {"identifier": "H30", "position": [9, 3], "step": 10, "ordinal_position": 11}, {"identifier": "T25", "position": [9, 4], "step": 11, "ordinal_position": 12}, {"identifier": "J16", "position": [9, 5], "step": 12, "ordinal_position": 13}, {"identifier": "K93", "position": [9, 6], "step": 13, "ordinal_position": 14}, {"identifier": "L25", "position": [9, 7], "step": 14, "ordinal_position": 15}, {"identifier": "E89", "position": [9, 8], "step": 15, "ordinal_position": 16}, {"identifier": "R80", "position": [9, 9], "step": 16, "ordinal_position": 17}, {"identifier": "S66", "position": [8, 9], "step": 17, "ordinal_position": 18}, {"identifier": "N29", "position": [7, 9], "step": 18, "ordinal_position": 19}, {"identifier": "C95", "position": [7, 8], "step": 19, "ordinal_position": 20}, {"identifier": "D95", "position": [7, 7], "step": 20, "ordinal_position": 21}, {"identifier": "Q91", "position": [8, 7], "step": 21, "ordinal_position": 22}, {"identifier": "L25", "position": [9, 7], "step": 22, "ordinal_position": 23}, {"identifier": "E89", "position": [9, 8], "step": 23, "ordinal_position": 24}, {"identifier": "R80", "position": [9, 9], "step": 24, "ordinal_position": 25}, {"identifier": "S66", "position": [8, 9], "step": 25, "ordinal_position": 26}, {"identifier": "N29", "position": [7, 9], "step": 26, "ordinal_position": 27}, {"identifier": "C95", "position": [7, 8], "step": 27, "ordinal_position": 28}, {"identifier": "D95", "position": [7, 7], "step": 28, "ordinal_position": 29}, {"identifier": "Q91", "position": [8, 7], "step": 29, "ordinal_position": 30}, {"identifier": "L25", "position": [9, 7], "step": 30, "ordinal_position": 31}, {"identifier": "E89", "position": [9, 8], "step": 31, "ordinal_position": 32}, {"identifier": "R80", "position": [9, 9], "step": 32, "ordinal_position": 33}, {"identifier": "S66", "position": [8, 9], "step": 33, "ordinal_position": 34}, {"identifier": "N29", "position": [7, 9], "step": 34, "ordinal_position": 35}, {"identifier": "C95", "position": [7, 8], "step": 35, "ordinal_position": 36}, {"identifier": "D95", "position": [7, 7], "step": 36, "ordinal_position": 37}, {"identifier": "Q91", "position": [8, 7], "step": 37, "ordinal_position": 38}, {"identifier": "L25", "position": [9, 7], "step": 38, "ordinal_position": 39}, {"identifier": "E89", "position": [9, 8], "step": 39, "ordinal_position": 40}, {"identifier": "R80", "position": [9, 9], "step": 40, "ordinal_position": 41}, {"identifier": "S66", "position": [8, 9], "step": 41, "ordinal_position": 42}, {"identifier": "N29", "position": [7, 9], "step": 42, "ordinal_position": 43}, {"identifier": "C95", "position": [7, 8], "step": 43, "ordinal_position": 44}, {"identifier": "D95", "position": [7, 7], "step": 44, "ordinal_position": 45}, {"identifier": "Q91", "position": [8, 7], "step": 45, "ordinal_position": 46}, {"identifier": "L25", "position": [9, 7], "step": 46, "ordinal_position": 47}, {"identifier": "E89", "position": [9, 8], "step": 47, "ordinal_position": 48}, {"identifier": "R80", "position": [9, 9], "step": 48, "ordinal_position": 49}, {"identifier": "S66", "position": [8, 9], "step": 49, "ordinal_position": 50}, {"identifier": "N29", "position": [7, 9], "step": 50, "ordinal_position": 51}, {"identifier": "C95", "position": [7, 8], "step": 51, "ordinal_position": 52}, {"identifier": "D95", "position": [7, 7], "step": 52, "ordinal_position": 53}, {"identifier": "Q91", "position": [8, 7], "step": 53, "ordinal_position": 54}, {"identifier": "L25", "position": [9, 7], "step": 54, "ordinal_position": 55}, {"identifier": "E89", "position": [9, 8], "step": 55, "ordinal_position": 56}, {"identifier": "R80", "position": [9, 9], "step": 56, "ordinal_position": 57}, {"identifier": "S66", "position": [8, 9], "step": 57, "ordinal_position": 58}, {"identifier": "N29", "position": [7, 9], "step": 58, "ordinal_position": 59}, {"identifier": "C95", "position": [7, 8], "step": 59, "ordinal_position": 60}, {"identifier": "D95", "position": [7, 7], "step": 60, "ordinal_position": 61}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 61, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_010.json"}} {"qa_id": "cc1db777009848f1a45a80e7bce5c650", "image_id": "L3-MazeLoop-test_11x11_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E62, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 62nd position in this traversal?", "start_object_id": "E62", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [62], "ordinal_strings": ["62nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "H30", "traversal_path": [{"identifier": "E62", "position": [2, 3], "step": 0, "ordinal_position": 1}, {"identifier": "O23", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "S08", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "F87", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "G40", "position": [2, 5], "step": 4, "ordinal_position": 5}, {"identifier": "P32", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "H21", "position": [3, 6], "step": 6, "ordinal_position": 7}, {"identifier": "B78", "position": [3, 7], "step": 7, "ordinal_position": 8}, {"identifier": "B30", "position": [2, 7], "step": 8, "ordinal_position": 9}, {"identifier": "D31", "position": [1, 7], "step": 9, "ordinal_position": 10}, {"identifier": "G75", "position": [1, 8], "step": 10, "ordinal_position": 11}, {"identifier": "P74", "position": [1, 9], "step": 11, "ordinal_position": 12}, {"identifier": "H82", "position": [2, 9], "step": 12, "ordinal_position": 13}, {"identifier": "U34", "position": [3, 9], "step": 13, "ordinal_position": 14}, {"identifier": "G13", "position": [4, 9], "step": 14, "ordinal_position": 15}, {"identifier": "J18", "position": [5, 9], "step": 15, "ordinal_position": 16}, {"identifier": "R85", "position": [5, 8], "step": 16, "ordinal_position": 17}, {"identifier": "Y84", "position": [5, 7], "step": 17, "ordinal_position": 18}, {"identifier": "X23", "position": [5, 6], "step": 18, "ordinal_position": 19}, {"identifier": "K05", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "A20", "position": [6, 5], "step": 20, "ordinal_position": 21}, {"identifier": "B51", "position": [7, 5], "step": 21, "ordinal_position": 22}, {"identifier": "T66", "position": [8, 5], "step": 22, "ordinal_position": 23}, {"identifier": "J16", "position": [9, 5], "step": 23, "ordinal_position": 24}, {"identifier": "T25", "position": [9, 4], "step": 24, "ordinal_position": 25}, {"identifier": "H30", "position": [9, 3], "step": 25, "ordinal_position": 26}, {"identifier": "O28", "position": [9, 2], "step": 26, "ordinal_position": 27}, {"identifier": "V85", "position": [9, 1], "step": 27, "ordinal_position": 28}, {"identifier": "M33", "position": [8, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Y62", "position": [7, 1], "step": 29, "ordinal_position": 30}, {"identifier": "V37", "position": [6, 1], "step": 30, "ordinal_position": 31}, {"identifier": "J76", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "M39", "position": [5, 2], "step": 32, "ordinal_position": 33}, {"identifier": "H13", "position": [5, 3], "step": 33, "ordinal_position": 34}, {"identifier": "C66", "position": [4, 3], "step": 34, "ordinal_position": 35}, {"identifier": "Z28", "position": [3, 3], "step": 35, "ordinal_position": 36}, {"identifier": "E62", "position": [2, 3], "step": 36, "ordinal_position": 37}, {"identifier": "O23", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "S08", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "F87", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "G40", "position": [2, 5], "step": 40, "ordinal_position": 41}, {"identifier": "P32", "position": [3, 5], "step": 41, "ordinal_position": 42}, {"identifier": "H21", "position": [3, 6], "step": 42, "ordinal_position": 43}, {"identifier": "B78", "position": [3, 7], "step": 43, "ordinal_position": 44}, {"identifier": "B30", "position": [2, 7], "step": 44, "ordinal_position": 45}, {"identifier": "D31", "position": [1, 7], "step": 45, "ordinal_position": 46}, {"identifier": "G75", "position": [1, 8], "step": 46, "ordinal_position": 47}, {"identifier": "P74", "position": [1, 9], "step": 47, "ordinal_position": 48}, {"identifier": "H82", "position": [2, 9], "step": 48, "ordinal_position": 49}, {"identifier": "U34", "position": [3, 9], "step": 49, "ordinal_position": 50}, {"identifier": "G13", "position": [4, 9], "step": 50, "ordinal_position": 51}, {"identifier": "J18", "position": [5, 9], "step": 51, "ordinal_position": 52}, {"identifier": "R85", "position": [5, 8], "step": 52, "ordinal_position": 53}, {"identifier": "Y84", "position": [5, 7], "step": 53, "ordinal_position": 54}, {"identifier": "X23", "position": [5, 6], "step": 54, "ordinal_position": 55}, {"identifier": "K05", "position": [5, 5], "step": 55, "ordinal_position": 56}, {"identifier": "A20", "position": [6, 5], "step": 56, "ordinal_position": 57}, {"identifier": "B51", "position": [7, 5], "step": 57, "ordinal_position": 58}, {"identifier": "T66", "position": [8, 5], "step": 58, "ordinal_position": 59}, {"identifier": "J16", "position": [9, 5], "step": 59, "ordinal_position": 60}, {"identifier": "T25", "position": [9, 4], "step": 60, "ordinal_position": 61}, {"identifier": "H30", "position": [9, 3], "step": 61, "ordinal_position": 62}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 62, "direction": "left", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_010.json"}} {"qa_id": "fb34cdb969684c9b9c7903eafc435721", "image_id": "L3-MazeLoop-test_11x11_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q96, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 136th position in this traversal?", "start_object_id": "Q96", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [136], "ordinal_strings": ["136th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "J18", "traversal_path": [{"identifier": "Q96", "position": [8, 3], "step": 0, "ordinal_position": 1}, {"identifier": "H30", "position": [9, 3], "step": 1, "ordinal_position": 2}, {"identifier": "O28", "position": [9, 2], "step": 2, "ordinal_position": 3}, {"identifier": "V85", "position": [9, 1], "step": 3, "ordinal_position": 4}, {"identifier": "M33", "position": [8, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Y62", "position": [7, 1], "step": 5, "ordinal_position": 6}, {"identifier": "V37", "position": [6, 1], "step": 6, "ordinal_position": 7}, {"identifier": "J76", "position": [5, 1], "step": 7, "ordinal_position": 8}, {"identifier": "M39", "position": [5, 2], "step": 8, "ordinal_position": 9}, {"identifier": "H13", "position": [5, 3], "step": 9, "ordinal_position": 10}, {"identifier": "C66", "position": [4, 3], "step": 10, "ordinal_position": 11}, {"identifier": "Z28", "position": [3, 3], "step": 11, "ordinal_position": 12}, {"identifier": "E62", "position": [2, 3], "step": 12, "ordinal_position": 13}, {"identifier": "O23", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "S08", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "F87", "position": [1, 5], "step": 15, "ordinal_position": 16}, {"identifier": "G40", "position": [2, 5], "step": 16, "ordinal_position": 17}, {"identifier": "P32", "position": [3, 5], "step": 17, "ordinal_position": 18}, {"identifier": "H21", "position": [3, 6], "step": 18, "ordinal_position": 19}, {"identifier": "B78", "position": [3, 7], "step": 19, "ordinal_position": 20}, {"identifier": "B30", "position": [2, 7], "step": 20, "ordinal_position": 21}, {"identifier": "D31", "position": [1, 7], "step": 21, "ordinal_position": 22}, {"identifier": "G75", "position": [1, 8], "step": 22, "ordinal_position": 23}, {"identifier": "P74", "position": [1, 9], "step": 23, "ordinal_position": 24}, {"identifier": "H82", "position": [2, 9], "step": 24, "ordinal_position": 25}, {"identifier": "U34", "position": [3, 9], "step": 25, "ordinal_position": 26}, {"identifier": "G13", "position": [4, 9], "step": 26, "ordinal_position": 27}, {"identifier": "J18", "position": [5, 9], "step": 27, "ordinal_position": 28}, {"identifier": "R85", "position": [5, 8], "step": 28, "ordinal_position": 29}, {"identifier": "Y84", "position": [5, 7], "step": 29, "ordinal_position": 30}, {"identifier": "X23", "position": [5, 6], "step": 30, "ordinal_position": 31}, {"identifier": "K05", "position": [5, 5], "step": 31, "ordinal_position": 32}, {"identifier": "A20", "position": [6, 5], "step": 32, "ordinal_position": 33}, {"identifier": "B51", "position": [7, 5], "step": 33, "ordinal_position": 34}, {"identifier": "T66", "position": [8, 5], "step": 34, "ordinal_position": 35}, {"identifier": "J16", "position": [9, 5], "step": 35, "ordinal_position": 36}, {"identifier": "T25", "position": [9, 4], "step": 36, "ordinal_position": 37}, {"identifier": "H30", "position": [9, 3], "step": 37, "ordinal_position": 38}, {"identifier": "O28", "position": [9, 2], "step": 38, "ordinal_position": 39}, {"identifier": "V85", "position": [9, 1], "step": 39, "ordinal_position": 40}, {"identifier": "M33", "position": [8, 1], "step": 40, "ordinal_position": 41}, {"identifier": "Y62", "position": [7, 1], "step": 41, "ordinal_position": 42}, {"identifier": "V37", "position": [6, 1], "step": 42, "ordinal_position": 43}, {"identifier": "J76", "position": [5, 1], "step": 43, "ordinal_position": 44}, {"identifier": "M39", "position": [5, 2], "step": 44, "ordinal_position": 45}, {"identifier": "H13", "position": [5, 3], "step": 45, "ordinal_position": 46}, {"identifier": "C66", "position": [4, 3], "step": 46, "ordinal_position": 47}, {"identifier": "Z28", "position": [3, 3], "step": 47, "ordinal_position": 48}, {"identifier": "E62", "position": [2, 3], "step": 48, "ordinal_position": 49}, {"identifier": "O23", "position": [1, 3], "step": 49, "ordinal_position": 50}, {"identifier": "S08", "position": [1, 4], "step": 50, "ordinal_position": 51}, {"identifier": "F87", "position": [1, 5], "step": 51, "ordinal_position": 52}, {"identifier": "G40", "position": [2, 5], "step": 52, "ordinal_position": 53}, {"identifier": "P32", "position": [3, 5], "step": 53, "ordinal_position": 54}, {"identifier": "H21", "position": [3, 6], "step": 54, "ordinal_position": 55}, {"identifier": "B78", "position": [3, 7], "step": 55, "ordinal_position": 56}, {"identifier": "B30", "position": [2, 7], "step": 56, "ordinal_position": 57}, {"identifier": "D31", "position": [1, 7], "step": 57, "ordinal_position": 58}, {"identifier": "G75", "position": [1, 8], "step": 58, "ordinal_position": 59}, {"identifier": "P74", "position": [1, 9], "step": 59, "ordinal_position": 60}, {"identifier": "H82", "position": [2, 9], "step": 60, "ordinal_position": 61}, {"identifier": "U34", "position": [3, 9], "step": 61, "ordinal_position": 62}, {"identifier": "G13", "position": [4, 9], "step": 62, "ordinal_position": 63}, {"identifier": "J18", "position": [5, 9], "step": 63, "ordinal_position": 64}, {"identifier": "R85", "position": [5, 8], "step": 64, "ordinal_position": 65}, {"identifier": "Y84", "position": [5, 7], "step": 65, "ordinal_position": 66}, {"identifier": "X23", "position": [5, 6], "step": 66, "ordinal_position": 67}, {"identifier": "K05", "position": [5, 5], "step": 67, "ordinal_position": 68}, {"identifier": "A20", "position": [6, 5], "step": 68, "ordinal_position": 69}, {"identifier": "B51", "position": [7, 5], "step": 69, "ordinal_position": 70}, {"identifier": "T66", "position": [8, 5], "step": 70, "ordinal_position": 71}, {"identifier": "J16", "position": [9, 5], "step": 71, "ordinal_position": 72}, {"identifier": "T25", "position": [9, 4], "step": 72, "ordinal_position": 73}, {"identifier": "H30", "position": [9, 3], "step": 73, "ordinal_position": 74}, {"identifier": "O28", "position": [9, 2], "step": 74, "ordinal_position": 75}, {"identifier": "V85", "position": [9, 1], "step": 75, "ordinal_position": 76}, {"identifier": "M33", "position": [8, 1], "step": 76, "ordinal_position": 77}, {"identifier": "Y62", "position": [7, 1], "step": 77, "ordinal_position": 78}, {"identifier": "V37", "position": [6, 1], "step": 78, "ordinal_position": 79}, {"identifier": "J76", "position": [5, 1], "step": 79, "ordinal_position": 80}, {"identifier": "M39", "position": [5, 2], "step": 80, "ordinal_position": 81}, {"identifier": "H13", "position": [5, 3], "step": 81, "ordinal_position": 82}, {"identifier": "C66", "position": [4, 3], "step": 82, "ordinal_position": 83}, {"identifier": "Z28", "position": [3, 3], "step": 83, "ordinal_position": 84}, {"identifier": "E62", "position": [2, 3], "step": 84, "ordinal_position": 85}, {"identifier": "O23", "position": [1, 3], "step": 85, "ordinal_position": 86}, {"identifier": "S08", "position": [1, 4], "step": 86, "ordinal_position": 87}, {"identifier": "F87", "position": [1, 5], "step": 87, "ordinal_position": 88}, {"identifier": "G40", "position": [2, 5], "step": 88, "ordinal_position": 89}, {"identifier": "P32", "position": [3, 5], "step": 89, "ordinal_position": 90}, {"identifier": "H21", "position": [3, 6], "step": 90, "ordinal_position": 91}, {"identifier": "B78", "position": [3, 7], "step": 91, "ordinal_position": 92}, {"identifier": "B30", "position": [2, 7], "step": 92, "ordinal_position": 93}, {"identifier": "D31", "position": [1, 7], "step": 93, "ordinal_position": 94}, {"identifier": "G75", "position": [1, 8], "step": 94, "ordinal_position": 95}, {"identifier": "P74", "position": [1, 9], "step": 95, "ordinal_position": 96}, {"identifier": "H82", "position": [2, 9], "step": 96, "ordinal_position": 97}, {"identifier": "U34", "position": [3, 9], "step": 97, "ordinal_position": 98}, {"identifier": "G13", "position": [4, 9], "step": 98, "ordinal_position": 99}, {"identifier": "J18", "position": [5, 9], "step": 99, "ordinal_position": 100}, {"identifier": "R85", "position": [5, 8], "step": 100, "ordinal_position": 101}, {"identifier": "Y84", "position": [5, 7], "step": 101, "ordinal_position": 102}, {"identifier": "X23", "position": [5, 6], "step": 102, "ordinal_position": 103}, {"identifier": "K05", "position": [5, 5], "step": 103, "ordinal_position": 104}, {"identifier": "A20", "position": [6, 5], "step": 104, "ordinal_position": 105}, {"identifier": "B51", "position": [7, 5], "step": 105, "ordinal_position": 106}, {"identifier": "T66", "position": [8, 5], "step": 106, "ordinal_position": 107}, {"identifier": "J16", "position": [9, 5], "step": 107, "ordinal_position": 108}, {"identifier": "T25", "position": [9, 4], "step": 108, "ordinal_position": 109}, {"identifier": "H30", "position": [9, 3], "step": 109, "ordinal_position": 110}, {"identifier": "O28", "position": [9, 2], "step": 110, "ordinal_position": 111}, {"identifier": "V85", "position": [9, 1], "step": 111, "ordinal_position": 112}, {"identifier": "M33", "position": [8, 1], "step": 112, "ordinal_position": 113}, {"identifier": "Y62", "position": [7, 1], "step": 113, "ordinal_position": 114}, {"identifier": "V37", "position": [6, 1], "step": 114, "ordinal_position": 115}, {"identifier": "J76", "position": [5, 1], "step": 115, "ordinal_position": 116}, {"identifier": "M39", "position": [5, 2], "step": 116, "ordinal_position": 117}, {"identifier": "H13", "position": [5, 3], "step": 117, "ordinal_position": 118}, {"identifier": "C66", "position": [4, 3], "step": 118, "ordinal_position": 119}, {"identifier": "Z28", "position": [3, 3], "step": 119, "ordinal_position": 120}, {"identifier": "E62", "position": [2, 3], "step": 120, "ordinal_position": 121}, {"identifier": "O23", "position": [1, 3], "step": 121, "ordinal_position": 122}, {"identifier": "S08", "position": [1, 4], "step": 122, "ordinal_position": 123}, {"identifier": "F87", "position": [1, 5], "step": 123, "ordinal_position": 124}, {"identifier": "G40", "position": [2, 5], "step": 124, "ordinal_position": 125}, {"identifier": "P32", "position": [3, 5], "step": 125, "ordinal_position": 126}, {"identifier": "H21", "position": [3, 6], "step": 126, "ordinal_position": 127}, {"identifier": "B78", "position": [3, 7], "step": 127, "ordinal_position": 128}, {"identifier": "B30", "position": [2, 7], "step": 128, "ordinal_position": 129}, {"identifier": "D31", "position": [1, 7], "step": 129, "ordinal_position": 130}, {"identifier": "G75", "position": [1, 8], "step": 130, "ordinal_position": 131}, {"identifier": "P74", "position": [1, 9], "step": 131, "ordinal_position": 132}, {"identifier": "H82", "position": [2, 9], "step": 132, "ordinal_position": 133}, {"identifier": "U34", "position": [3, 9], "step": 133, "ordinal_position": 134}, {"identifier": "G13", "position": [4, 9], "step": 134, "ordinal_position": 135}, {"identifier": "J18", "position": [5, 9], "step": 135, "ordinal_position": 136}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 136, "direction": "right", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_010.json"}} {"qa_id": "057759f58f3d495a8c64abb7954c7795", "image_id": "L3-MazeLoop-test_11x11_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S25, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 240th position in this traversal?", "start_object_id": "S25", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [240], "ordinal_strings": ["240th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "D95", "traversal_path": [{"identifier": "S25", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "O23", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "S08", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "F87", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "G40", "position": [2, 5], "step": 4, "ordinal_position": 5}, {"identifier": "P32", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "H21", "position": [3, 6], "step": 6, "ordinal_position": 7}, {"identifier": "B78", "position": [3, 7], "step": 7, "ordinal_position": 8}, {"identifier": "B30", "position": [2, 7], "step": 8, "ordinal_position": 9}, {"identifier": "D31", "position": [1, 7], "step": 9, "ordinal_position": 10}, {"identifier": "G75", "position": [1, 8], "step": 10, "ordinal_position": 11}, {"identifier": "P74", "position": [1, 9], "step": 11, "ordinal_position": 12}, {"identifier": "H82", "position": [2, 9], "step": 12, "ordinal_position": 13}, {"identifier": "U34", "position": [3, 9], "step": 13, "ordinal_position": 14}, {"identifier": "G13", "position": [4, 9], "step": 14, "ordinal_position": 15}, {"identifier": "J18", "position": [5, 9], "step": 15, "ordinal_position": 16}, {"identifier": "R85", "position": [5, 8], "step": 16, "ordinal_position": 17}, {"identifier": "Y84", "position": [5, 7], "step": 17, "ordinal_position": 18}, {"identifier": "X23", "position": [5, 6], "step": 18, "ordinal_position": 19}, {"identifier": "K05", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "A20", "position": [6, 5], "step": 20, "ordinal_position": 21}, {"identifier": "B51", "position": [7, 5], "step": 21, "ordinal_position": 22}, {"identifier": "T66", "position": [8, 5], "step": 22, "ordinal_position": 23}, {"identifier": "J16", "position": [9, 5], "step": 23, "ordinal_position": 24}, {"identifier": "K93", "position": [9, 6], "step": 24, "ordinal_position": 25}, {"identifier": "L25", "position": [9, 7], "step": 25, "ordinal_position": 26}, {"identifier": "E89", "position": [9, 8], "step": 26, "ordinal_position": 27}, {"identifier": "R80", "position": [9, 9], "step": 27, "ordinal_position": 28}, {"identifier": "S66", "position": [8, 9], "step": 28, "ordinal_position": 29}, {"identifier": "N29", "position": [7, 9], "step": 29, "ordinal_position": 30}, {"identifier": "C95", "position": [7, 8], "step": 30, "ordinal_position": 31}, {"identifier": "D95", "position": [7, 7], "step": 31, "ordinal_position": 32}, {"identifier": "Q91", "position": [8, 7], "step": 32, "ordinal_position": 33}, {"identifier": "L25", "position": [9, 7], "step": 33, "ordinal_position": 34}, {"identifier": "E89", "position": [9, 8], "step": 34, "ordinal_position": 35}, {"identifier": "R80", "position": [9, 9], "step": 35, "ordinal_position": 36}, {"identifier": "S66", "position": [8, 9], "step": 36, "ordinal_position": 37}, {"identifier": "N29", "position": [7, 9], "step": 37, "ordinal_position": 38}, {"identifier": "C95", "position": [7, 8], "step": 38, "ordinal_position": 39}, {"identifier": "D95", "position": [7, 7], "step": 39, "ordinal_position": 40}, {"identifier": "Q91", "position": [8, 7], "step": 40, "ordinal_position": 41}, {"identifier": "L25", "position": [9, 7], "step": 41, "ordinal_position": 42}, {"identifier": "E89", "position": [9, 8], "step": 42, "ordinal_position": 43}, {"identifier": "R80", "position": [9, 9], "step": 43, "ordinal_position": 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180, "ordinal_position": 181}, {"identifier": "N29", "position": [7, 9], "step": 181, "ordinal_position": 182}, {"identifier": "C95", "position": [7, 8], "step": 182, "ordinal_position": 183}, {"identifier": "D95", "position": [7, 7], "step": 183, "ordinal_position": 184}, {"identifier": "Q91", "position": [8, 7], "step": 184, "ordinal_position": 185}, {"identifier": "L25", "position": [9, 7], "step": 185, "ordinal_position": 186}, {"identifier": "E89", "position": [9, 8], "step": 186, "ordinal_position": 187}, {"identifier": "R80", "position": [9, 9], "step": 187, "ordinal_position": 188}, {"identifier": "S66", "position": [8, 9], "step": 188, "ordinal_position": 189}, {"identifier": "N29", "position": [7, 9], "step": 189, "ordinal_position": 190}, {"identifier": "C95", "position": [7, 8], "step": 190, "ordinal_position": 191}, {"identifier": "D95", "position": [7, 7], "step": 191, "ordinal_position": 192}, {"identifier": "Q91", "position": [8, 7], "step": 192, "ordinal_position": 193}, {"identifier": "L25", "position": [9, 7], "step": 193, "ordinal_position": 194}, {"identifier": "E89", "position": [9, 8], "step": 194, "ordinal_position": 195}, {"identifier": "R80", "position": [9, 9], "step": 195, "ordinal_position": 196}, {"identifier": "S66", "position": [8, 9], "step": 196, "ordinal_position": 197}, {"identifier": "N29", "position": [7, 9], "step": 197, "ordinal_position": 198}, {"identifier": "C95", "position": [7, 8], "step": 198, "ordinal_position": 199}, {"identifier": "D95", "position": [7, 7], "step": 199, "ordinal_position": 200}, {"identifier": "Q91", "position": [8, 7], "step": 200, "ordinal_position": 201}, {"identifier": "L25", "position": [9, 7], "step": 201, "ordinal_position": 202}, {"identifier": "E89", "position": [9, 8], "step": 202, "ordinal_position": 203}, {"identifier": "R80", "position": [9, 9], "step": 203, "ordinal_position": 204}, {"identifier": "S66", "position": [8, 9], "step": 204, "ordinal_position": 205}, {"identifier": "N29", "position": [7, 9], "step": 205, "ordinal_position": 206}, {"identifier": "C95", "position": [7, 8], "step": 206, "ordinal_position": 207}, {"identifier": "D95", "position": [7, 7], "step": 207, "ordinal_position": 208}, {"identifier": "Q91", "position": [8, 7], "step": 208, "ordinal_position": 209}, {"identifier": "L25", "position": [9, 7], "step": 209, "ordinal_position": 210}, {"identifier": "E89", "position": [9, 8], "step": 210, "ordinal_position": 211}, {"identifier": "R80", "position": [9, 9], "step": 211, "ordinal_position": 212}, {"identifier": "S66", "position": [8, 9], "step": 212, "ordinal_position": 213}, {"identifier": "N29", "position": [7, 9], "step": 213, "ordinal_position": 214}, {"identifier": "C95", "position": [7, 8], "step": 214, "ordinal_position": 215}, {"identifier": "D95", "position": [7, 7], "step": 215, "ordinal_position": 216}, {"identifier": "Q91", "position": [8, 7], "step": 216, "ordinal_position": 217}, {"identifier": "L25", "position": [9, 7], "step": 217, "ordinal_position": 218}, {"identifier": "E89", "position": [9, 8], "step": 218, "ordinal_position": 219}, {"identifier": "R80", "position": [9, 9], "step": 219, "ordinal_position": 220}, {"identifier": "S66", "position": [8, 9], "step": 220, "ordinal_position": 221}, {"identifier": "N29", "position": [7, 9], "step": 221, "ordinal_position": 222}, {"identifier": "C95", "position": [7, 8], "step": 222, "ordinal_position": 223}, {"identifier": "D95", "position": [7, 7], "step": 223, "ordinal_position": 224}, {"identifier": "Q91", "position": [8, 7], "step": 224, "ordinal_position": 225}, {"identifier": "L25", "position": [9, 7], "step": 225, "ordinal_position": 226}, {"identifier": "E89", "position": [9, 8], "step": 226, "ordinal_position": 227}, {"identifier": "R80", "position": [9, 9], "step": 227, "ordinal_position": 228}, {"identifier": "S66", "position": [8, 9], "step": 228, "ordinal_position": 229}, {"identifier": "N29", "position": [7, 9], "step": 229, "ordinal_position": 230}, {"identifier": "C95", "position": [7, 8], "step": 230, "ordinal_position": 231}, {"identifier": "D95", "position": [7, 7], "step": 231, "ordinal_position": 232}, {"identifier": "Q91", "position": [8, 7], "step": 232, "ordinal_position": 233}, {"identifier": "L25", "position": [9, 7], "step": 233, "ordinal_position": 234}, {"identifier": "E89", "position": [9, 8], "step": 234, "ordinal_position": 235}, {"identifier": "R80", "position": [9, 9], "step": 235, "ordinal_position": 236}, {"identifier": "S66", "position": [8, 9], "step": 236, "ordinal_position": 237}, {"identifier": "N29", "position": [7, 9], "step": 237, "ordinal_position": 238}, {"identifier": "C95", "position": [7, 8], "step": 238, "ordinal_position": 239}, {"identifier": "D95", "position": [7, 7], "step": 239, "ordinal_position": 240}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 240, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_010.json"}} {"qa_id": "ba8be4c43ed049f6b1218f37eff68c84", "image_id": "L3-MazeLoop-test_11x11_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J18, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 133rd position in this traversal?", "start_object_id": "J18", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [133], "ordinal_strings": ["133rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "F87", "traversal_path": [{"identifier": "J18", "position": [5, 9], "step": 0, "ordinal_position": 1}, {"identifier": "R85", "position": [5, 8], "step": 1, "ordinal_position": 2}, {"identifier": "Y84", "position": [5, 7], "step": 2, "ordinal_position": 3}, {"identifier": "X23", "position": [5, 6], "step": 3, "ordinal_position": 4}, {"identifier": "K05", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "A20", "position": [6, 5], "step": 5, "ordinal_position": 6}, {"identifier": "B51", "position": [7, 5], "step": 6, "ordinal_position": 7}, {"identifier": "T66", "position": [8, 5], "step": 7, "ordinal_position": 8}, {"identifier": "J16", "position": [9, 5], "step": 8, "ordinal_position": 9}, {"identifier": "T25", "position": [9, 4], "step": 9, "ordinal_position": 10}, {"identifier": "H30", "position": [9, 3], "step": 10, "ordinal_position": 11}, {"identifier": "O28", "position": [9, 2], "step": 11, "ordinal_position": 12}, {"identifier": "V85", "position": [9, 1], "step": 12, "ordinal_position": 13}, {"identifier": "M33", "position": [8, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Y62", "position": [7, 1], "step": 14, "ordinal_position": 15}, {"identifier": "V37", "position": [6, 1], "step": 15, "ordinal_position": 16}, {"identifier": "J76", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "M39", "position": [5, 2], "step": 17, "ordinal_position": 18}, {"identifier": "H13", "position": [5, 3], "step": 18, "ordinal_position": 19}, {"identifier": "C66", "position": [4, 3], "step": 19, "ordinal_position": 20}, {"identifier": "Z28", "position": [3, 3], "step": 20, "ordinal_position": 21}, {"identifier": "E62", "position": [2, 3], "step": 21, "ordinal_position": 22}, {"identifier": "O23", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "S08", "position": [1, 4], "step": 23, "ordinal_position": 24}, {"identifier": "F87", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "G40", "position": [2, 5], "step": 25, "ordinal_position": 26}, {"identifier": "P32", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "H21", "position": [3, 6], "step": 27, "ordinal_position": 28}, {"identifier": "B78", "position": [3, 7], "step": 28, "ordinal_position": 29}, {"identifier": "B30", "position": [2, 7], "step": 29, "ordinal_position": 30}, {"identifier": "D31", "position": [1, 7], "step": 30, "ordinal_position": 31}, {"identifier": "G75", "position": [1, 8], "step": 31, "ordinal_position": 32}, {"identifier": "P74", "position": [1, 9], "step": 32, "ordinal_position": 33}, {"identifier": "H82", "position": [2, 9], "step": 33, "ordinal_position": 34}, {"identifier": "U34", "position": [3, 9], "step": 34, "ordinal_position": 35}, {"identifier": "G13", "position": [4, 9], "step": 35, "ordinal_position": 36}, {"identifier": "J18", "position": [5, 9], "step": 36, "ordinal_position": 37}, {"identifier": "R85", "position": [5, 8], "step": 37, "ordinal_position": 38}, {"identifier": "Y84", "position": [5, 7], "step": 38, "ordinal_position": 39}, {"identifier": "X23", "position": [5, 6], "step": 39, "ordinal_position": 40}, {"identifier": "K05", "position": [5, 5], "step": 40, "ordinal_position": 41}, {"identifier": "A20", "position": [6, 5], "step": 41, "ordinal_position": 42}, {"identifier": "B51", "position": [7, 5], "step": 42, "ordinal_position": 43}, {"identifier": "T66", "position": [8, 5], "step": 43, "ordinal_position": 44}, {"identifier": "J16", "position": [9, 5], "step": 44, "ordinal_position": 45}, {"identifier": "T25", "position": [9, 4], "step": 45, "ordinal_position": 46}, {"identifier": "H30", "position": [9, 3], "step": 46, "ordinal_position": 47}, {"identifier": "O28", "position": [9, 2], "step": 47, "ordinal_position": 48}, {"identifier": "V85", "position": [9, 1], "step": 48, "ordinal_position": 49}, {"identifier": "M33", "position": [8, 1], "step": 49, "ordinal_position": 50}, {"identifier": "Y62", "position": [7, 1], "step": 50, "ordinal_position": 51}, {"identifier": "V37", "position": [6, 1], "step": 51, "ordinal_position": 52}, {"identifier": "J76", "position": [5, 1], "step": 52, "ordinal_position": 53}, {"identifier": "M39", "position": [5, 2], "step": 53, "ordinal_position": 54}, {"identifier": "H13", "position": [5, 3], "step": 54, "ordinal_position": 55}, {"identifier": "C66", "position": [4, 3], "step": 55, "ordinal_position": 56}, {"identifier": "Z28", "position": [3, 3], "step": 56, "ordinal_position": 57}, {"identifier": "E62", "position": [2, 3], "step": 57, "ordinal_position": 58}, {"identifier": "O23", "position": [1, 3], "step": 58, "ordinal_position": 59}, {"identifier": "S08", "position": [1, 4], "step": 59, "ordinal_position": 60}, {"identifier": "F87", "position": [1, 5], "step": 60, "ordinal_position": 61}, {"identifier": "G40", "position": [2, 5], "step": 61, "ordinal_position": 62}, {"identifier": "P32", "position": [3, 5], "step": 62, "ordinal_position": 63}, {"identifier": "H21", "position": [3, 6], "step": 63, "ordinal_position": 64}, {"identifier": "B78", "position": [3, 7], "step": 64, "ordinal_position": 65}, {"identifier": "B30", "position": [2, 7], "step": 65, "ordinal_position": 66}, {"identifier": "D31", "position": [1, 7], "step": 66, "ordinal_position": 67}, {"identifier": "G75", "position": [1, 8], "step": 67, "ordinal_position": 68}, {"identifier": "P74", "position": [1, 9], "step": 68, "ordinal_position": 69}, {"identifier": "H82", "position": [2, 9], "step": 69, "ordinal_position": 70}, {"identifier": "U34", "position": [3, 9], "step": 70, "ordinal_position": 71}, {"identifier": "G13", "position": [4, 9], "step": 71, "ordinal_position": 72}, {"identifier": "J18", "position": [5, 9], "step": 72, "ordinal_position": 73}, {"identifier": "R85", "position": [5, 8], "step": 73, "ordinal_position": 74}, {"identifier": "Y84", "position": [5, 7], "step": 74, "ordinal_position": 75}, {"identifier": "X23", "position": [5, 6], "step": 75, "ordinal_position": 76}, {"identifier": "K05", "position": [5, 5], "step": 76, "ordinal_position": 77}, {"identifier": "A20", "position": [6, 5], "step": 77, "ordinal_position": 78}, {"identifier": "B51", "position": [7, 5], "step": 78, "ordinal_position": 79}, {"identifier": "T66", "position": [8, 5], "step": 79, "ordinal_position": 80}, {"identifier": "J16", "position": [9, 5], "step": 80, "ordinal_position": 81}, {"identifier": "T25", "position": [9, 4], "step": 81, "ordinal_position": 82}, {"identifier": "H30", "position": [9, 3], "step": 82, "ordinal_position": 83}, {"identifier": "O28", "position": [9, 2], "step": 83, "ordinal_position": 84}, {"identifier": "V85", "position": [9, 1], "step": 84, "ordinal_position": 85}, {"identifier": "M33", "position": [8, 1], "step": 85, "ordinal_position": 86}, {"identifier": "Y62", "position": [7, 1], "step": 86, "ordinal_position": 87}, {"identifier": "V37", "position": [6, 1], "step": 87, "ordinal_position": 88}, {"identifier": "J76", "position": [5, 1], "step": 88, "ordinal_position": 89}, {"identifier": "M39", "position": [5, 2], "step": 89, "ordinal_position": 90}, {"identifier": "H13", "position": [5, 3], "step": 90, "ordinal_position": 91}, {"identifier": "C66", "position": [4, 3], "step": 91, "ordinal_position": 92}, {"identifier": "Z28", "position": [3, 3], "step": 92, "ordinal_position": 93}, {"identifier": "E62", "position": [2, 3], "step": 93, "ordinal_position": 94}, {"identifier": "O23", "position": [1, 3], "step": 94, "ordinal_position": 95}, {"identifier": "S08", "position": [1, 4], "step": 95, "ordinal_position": 96}, {"identifier": "F87", "position": [1, 5], "step": 96, "ordinal_position": 97}, {"identifier": "G40", "position": [2, 5], "step": 97, "ordinal_position": 98}, {"identifier": "P32", "position": [3, 5], "step": 98, "ordinal_position": 99}, {"identifier": "H21", "position": [3, 6], "step": 99, "ordinal_position": 100}, {"identifier": "B78", "position": [3, 7], "step": 100, "ordinal_position": 101}, {"identifier": "B30", "position": [2, 7], "step": 101, "ordinal_position": 102}, {"identifier": "D31", "position": [1, 7], "step": 102, "ordinal_position": 103}, {"identifier": "G75", "position": [1, 8], "step": 103, "ordinal_position": 104}, {"identifier": "P74", "position": [1, 9], "step": 104, "ordinal_position": 105}, {"identifier": "H82", "position": [2, 9], "step": 105, "ordinal_position": 106}, {"identifier": "U34", "position": [3, 9], "step": 106, "ordinal_position": 107}, {"identifier": "G13", "position": [4, 9], "step": 107, "ordinal_position": 108}, {"identifier": "J18", "position": [5, 9], "step": 108, "ordinal_position": 109}, {"identifier": "R85", "position": [5, 8], "step": 109, "ordinal_position": 110}, {"identifier": "Y84", "position": [5, 7], "step": 110, "ordinal_position": 111}, {"identifier": "X23", "position": [5, 6], "step": 111, "ordinal_position": 112}, {"identifier": "K05", "position": [5, 5], "step": 112, "ordinal_position": 113}, {"identifier": "A20", "position": [6, 5], "step": 113, "ordinal_position": 114}, {"identifier": "B51", "position": [7, 5], "step": 114, "ordinal_position": 115}, {"identifier": "T66", "position": [8, 5], "step": 115, "ordinal_position": 116}, {"identifier": "J16", "position": [9, 5], "step": 116, "ordinal_position": 117}, {"identifier": "T25", "position": [9, 4], "step": 117, "ordinal_position": 118}, {"identifier": "H30", "position": [9, 3], "step": 118, "ordinal_position": 119}, {"identifier": "O28", "position": [9, 2], "step": 119, "ordinal_position": 120}, {"identifier": "V85", "position": [9, 1], "step": 120, "ordinal_position": 121}, {"identifier": "M33", "position": [8, 1], "step": 121, "ordinal_position": 122}, {"identifier": "Y62", "position": [7, 1], "step": 122, "ordinal_position": 123}, {"identifier": "V37", "position": [6, 1], "step": 123, "ordinal_position": 124}, {"identifier": "J76", "position": [5, 1], "step": 124, "ordinal_position": 125}, {"identifier": "M39", "position": [5, 2], "step": 125, "ordinal_position": 126}, {"identifier": "H13", "position": [5, 3], "step": 126, "ordinal_position": 127}, {"identifier": "C66", "position": [4, 3], "step": 127, "ordinal_position": 128}, {"identifier": "Z28", "position": [3, 3], "step": 128, "ordinal_position": 129}, {"identifier": "E62", "position": [2, 3], "step": 129, "ordinal_position": 130}, {"identifier": "O23", "position": [1, 3], "step": 130, "ordinal_position": 131}, {"identifier": "S08", "position": [1, 4], "step": 131, "ordinal_position": 132}, {"identifier": "F87", "position": [1, 5], "step": 132, "ordinal_position": 133}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 133, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_010.json"}} {"qa_id": "bb036d9450834eeaad0a92b84af65f38", "image_id": "L3-MazeLoop-test_11x11_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X23, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 245th position in this traversal?", "start_object_id": "X23", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [245], "ordinal_strings": ["245th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "G40", "traversal_path": [{"identifier": "X23", "position": [5, 6], "step": 0, "ordinal_position": 1}, {"identifier": "Y84", "position": [5, 7], "step": 1, "ordinal_position": 2}, {"identifier": "R85", "position": [5, 8], "step": 2, "ordinal_position": 3}, {"identifier": "J18", "position": [5, 9], "step": 3, "ordinal_position": 4}, {"identifier": "G13", "position": [4, 9], "step": 4, "ordinal_position": 5}, {"identifier": "U34", "position": [3, 9], "step": 5, "ordinal_position": 6}, {"identifier": "H82", "position": [2, 9], "step": 6, "ordinal_position": 7}, {"identifier": "P74", "position": [1, 9], "step": 7, "ordinal_position": 8}, {"identifier": "G75", "position": [1, 8], "step": 8, "ordinal_position": 9}, {"identifier": "D31", "position": [1, 7], "step": 9, "ordinal_position": 10}, {"identifier": "B30", "position": [2, 7], "step": 10, "ordinal_position": 11}, {"identifier": "B78", "position": [3, 7], "step": 11, "ordinal_position": 12}, {"identifier": "H21", "position": [3, 6], "step": 12, "ordinal_position": 13}, {"identifier": "P32", "position": [3, 5], "step": 13, "ordinal_position": 14}, {"identifier": "G40", "position": [2, 5], "step": 14, "ordinal_position": 15}, {"identifier": "F87", "position": [1, 5], "step": 15, "ordinal_position": 16}, {"identifier": "S08", "position": [1, 4], "step": 16, "ordinal_position": 17}, {"identifier": "O23", "position": [1, 3], "step": 17, "ordinal_position": 18}, {"identifier": "S25", "position": [1, 2], "step": 18, "ordinal_position": 19}, {"identifier": "N43", "position": [1, 1], "step": 19, "ordinal_position": 20}, {"identifier": "X94", "position": [2, 1], "step": 20, "ordinal_position": 21}, {"identifier": "W31", "position": [3, 1], "step": 21, "ordinal_position": 22}, {"identifier": "G81", "position": [3, 2], "step": 22, "ordinal_position": 23}, {"identifier": "Z28", "position": [3, 3], "step": 23, "ordinal_position": 24}, {"identifier": "C66", "position": [4, 3], "step": 24, "ordinal_position": 25}, {"identifier": "H13", "position": [5, 3], "step": 25, "ordinal_position": 26}, {"identifier": "M39", "position": [5, 2], "step": 26, "ordinal_position": 27}, {"identifier": "J76", "position": [5, 1], "step": 27, "ordinal_position": 28}, {"identifier": "V37", "position": [6, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Y62", "position": [7, 1], "step": 29, "ordinal_position": 30}, {"identifier": "M33", "position": [8, 1], "step": 30, "ordinal_position": 31}, {"identifier": "V85", "position": [9, 1], "step": 31, "ordinal_position": 32}, {"identifier": "O28", "position": [9, 2], "step": 32, "ordinal_position": 33}, {"identifier": "H30", "position": [9, 3], "step": 33, "ordinal_position": 34}, {"identifier": "T25", "position": [9, 4], "step": 34, "ordinal_position": 35}, {"identifier": "J16", "position": [9, 5], "step": 35, "ordinal_position": 36}, {"identifier": "K93", "position": [9, 6], "step": 36, "ordinal_position": 37}, {"identifier": "L25", "position": [9, 7], "step": 37, "ordinal_position": 38}, {"identifier": "E89", "position": [9, 8], "step": 38, "ordinal_position": 39}, {"identifier": "R80", "position": [9, 9], "step": 39, "ordinal_position": 40}, {"identifier": "S66", "position": [8, 9], "step": 40, "ordinal_position": 41}, {"identifier": "N29", "position": [7, 9], "step": 41, "ordinal_position": 42}, {"identifier": "C95", "position": [7, 8], "step": 42, "ordinal_position": 43}, {"identifier": "D95", "position": [7, 7], "step": 43, "ordinal_position": 44}, {"identifier": "Q91", "position": [8, 7], "step": 44, "ordinal_position": 45}, {"identifier": "L25", "position": [9, 7], "step": 45, "ordinal_position": 46}, {"identifier": "K93", "position": [9, 6], "step": 46, "ordinal_position": 47}, {"identifier": "J16", "position": [9, 5], "step": 47, "ordinal_position": 48}, {"identifier": "T25", "position": [9, 4], "step": 48, "ordinal_position": 49}, {"identifier": "H30", "position": [9, 3], "step": 49, "ordinal_position": 50}, {"identifier": "O28", "position": [9, 2], "step": 50, "ordinal_position": 51}, {"identifier": "V85", "position": [9, 1], "step": 51, "ordinal_position": 52}, {"identifier": "M33", "position": [8, 1], "step": 52, "ordinal_position": 53}, {"identifier": "Y62", "position": [7, 1], "step": 53, "ordinal_position": 54}, {"identifier": "V37", "position": [6, 1], "step": 54, "ordinal_position": 55}, {"identifier": "J76", "position": [5, 1], "step": 55, "ordinal_position": 56}, {"identifier": "M39", "position": [5, 2], "step": 56, "ordinal_position": 57}, {"identifier": "H13", "position": [5, 3], "step": 57, "ordinal_position": 58}, {"identifier": "C66", "position": [4, 3], "step": 58, "ordinal_position": 59}, {"identifier": "Z28", "position": [3, 3], "step": 59, "ordinal_position": 60}, {"identifier": "E62", "position": [2, 3], "step": 60, "ordinal_position": 61}, {"identifier": "O23", "position": [1, 3], "step": 61, "ordinal_position": 62}, {"identifier": "S08", "position": [1, 4], "step": 62, "ordinal_position": 63}, {"identifier": "F87", "position": [1, 5], "step": 63, "ordinal_position": 64}, {"identifier": "G40", "position": [2, 5], "step": 64, "ordinal_position": 65}, {"identifier": "P32", "position": [3, 5], "step": 65, "ordinal_position": 66}, {"identifier": "H21", "position": [3, 6], "step": 66, "ordinal_position": 67}, {"identifier": "B78", "position": [3, 7], "step": 67, "ordinal_position": 68}, {"identifier": "B30", "position": [2, 7], "step": 68, "ordinal_position": 69}, {"identifier": "D31", "position": [1, 7], "step": 69, "ordinal_position": 70}, {"identifier": "G75", "position": [1, 8], "step": 70, "ordinal_position": 71}, {"identifier": "P74", "position": [1, 9], "step": 71, "ordinal_position": 72}, {"identifier": "H82", "position": [2, 9], "step": 72, "ordinal_position": 73}, {"identifier": "U34", "position": [3, 9], "step": 73, "ordinal_position": 74}, {"identifier": "G13", "position": [4, 9], "step": 74, "ordinal_position": 75}, {"identifier": "J18", "position": [5, 9], "step": 75, "ordinal_position": 76}, {"identifier": "R85", "position": [5, 8], "step": 76, "ordinal_position": 77}, {"identifier": "Y84", "position": [5, 7], "step": 77, "ordinal_position": 78}, {"identifier": "X23", "position": [5, 6], "step": 78, "ordinal_position": 79}, {"identifier": "K05", "position": [5, 5], "step": 79, "ordinal_position": 80}, {"identifier": "A20", "position": [6, 5], "step": 80, "ordinal_position": 81}, {"identifier": "B51", "position": [7, 5], "step": 81, "ordinal_position": 82}, {"identifier": "T66", "position": [8, 5], "step": 82, "ordinal_position": 83}, {"identifier": "J16", "position": [9, 5], "step": 83, "ordinal_position": 84}, {"identifier": "T25", "position": [9, 4], "step": 84, "ordinal_position": 85}, {"identifier": "H30", "position": [9, 3], "step": 85, "ordinal_position": 86}, {"identifier": "O28", "position": [9, 2], "step": 86, "ordinal_position": 87}, {"identifier": "V85", "position": [9, 1], "step": 87, "ordinal_position": 88}, {"identifier": "M33", "position": [8, 1], "step": 88, "ordinal_position": 89}, {"identifier": "Y62", "position": [7, 1], "step": 89, "ordinal_position": 90}, {"identifier": "V37", "position": [6, 1], "step": 90, "ordinal_position": 91}, {"identifier": "J76", "position": [5, 1], "step": 91, "ordinal_position": 92}, {"identifier": "M39", "position": [5, 2], "step": 92, "ordinal_position": 93}, {"identifier": "H13", "position": [5, 3], "step": 93, "ordinal_position": 94}, {"identifier": "C66", "position": [4, 3], "step": 94, "ordinal_position": 95}, {"identifier": "Z28", "position": [3, 3], "step": 95, "ordinal_position": 96}, {"identifier": "E62", "position": [2, 3], "step": 96, "ordinal_position": 97}, {"identifier": "O23", "position": [1, 3], "step": 97, "ordinal_position": 98}, {"identifier": "S08", "position": [1, 4], "step": 98, "ordinal_position": 99}, {"identifier": "F87", "position": [1, 5], "step": 99, "ordinal_position": 100}, {"identifier": "G40", "position": [2, 5], "step": 100, "ordinal_position": 101}, {"identifier": "P32", "position": [3, 5], "step": 101, "ordinal_position": 102}, {"identifier": "H21", "position": [3, 6], "step": 102, "ordinal_position": 103}, {"identifier": "B78", "position": [3, 7], "step": 103, "ordinal_position": 104}, {"identifier": "B30", "position": [2, 7], "step": 104, "ordinal_position": 105}, {"identifier": "D31", "position": [1, 7], "step": 105, "ordinal_position": 106}, {"identifier": "G75", "position": [1, 8], "step": 106, "ordinal_position": 107}, {"identifier": "P74", "position": [1, 9], "step": 107, "ordinal_position": 108}, {"identifier": "H82", "position": [2, 9], "step": 108, "ordinal_position": 109}, {"identifier": "U34", "position": [3, 9], "step": 109, "ordinal_position": 110}, {"identifier": "G13", "position": [4, 9], "step": 110, "ordinal_position": 111}, {"identifier": "J18", "position": [5, 9], "step": 111, "ordinal_position": 112}, {"identifier": "R85", "position": [5, 8], "step": 112, "ordinal_position": 113}, {"identifier": "Y84", "position": [5, 7], "step": 113, "ordinal_position": 114}, {"identifier": "X23", "position": [5, 6], "step": 114, "ordinal_position": 115}, {"identifier": "K05", "position": [5, 5], "step": 115, "ordinal_position": 116}, {"identifier": "A20", "position": [6, 5], "step": 116, "ordinal_position": 117}, {"identifier": "B51", "position": [7, 5], "step": 117, "ordinal_position": 118}, {"identifier": "T66", "position": [8, 5], "step": 118, "ordinal_position": 119}, {"identifier": "J16", "position": [9, 5], "step": 119, "ordinal_position": 120}, {"identifier": "T25", "position": [9, 4], "step": 120, "ordinal_position": 121}, {"identifier": "H30", 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133, "ordinal_position": 134}, {"identifier": "S08", "position": [1, 4], "step": 134, "ordinal_position": 135}, {"identifier": "F87", "position": [1, 5], "step": 135, "ordinal_position": 136}, {"identifier": "G40", "position": [2, 5], "step": 136, "ordinal_position": 137}, {"identifier": "P32", "position": [3, 5], "step": 137, "ordinal_position": 138}, {"identifier": "H21", "position": [3, 6], "step": 138, "ordinal_position": 139}, {"identifier": "B78", "position": [3, 7], "step": 139, "ordinal_position": 140}, {"identifier": "B30", "position": [2, 7], "step": 140, "ordinal_position": 141}, {"identifier": "D31", "position": [1, 7], "step": 141, "ordinal_position": 142}, {"identifier": "G75", "position": [1, 8], "step": 142, "ordinal_position": 143}, {"identifier": "P74", "position": [1, 9], "step": 143, "ordinal_position": 144}, {"identifier": "H82", "position": [2, 9], "step": 144, "ordinal_position": 145}, {"identifier": "U34", "position": [3, 9], "step": 145, "ordinal_position": 146}, {"identifier": "G13", "position": [4, 9], "step": 146, "ordinal_position": 147}, {"identifier": "J18", "position": [5, 9], "step": 147, "ordinal_position": 148}, {"identifier": "R85", "position": [5, 8], "step": 148, "ordinal_position": 149}, {"identifier": "Y84", "position": [5, 7], "step": 149, "ordinal_position": 150}, {"identifier": "X23", "position": [5, 6], "step": 150, "ordinal_position": 151}, {"identifier": "K05", "position": [5, 5], "step": 151, "ordinal_position": 152}, {"identifier": "A20", "position": [6, 5], "step": 152, "ordinal_position": 153}, {"identifier": "B51", "position": [7, 5], "step": 153, "ordinal_position": 154}, {"identifier": "T66", "position": [8, 5], "step": 154, "ordinal_position": 155}, {"identifier": "J16", "position": [9, 5], "step": 155, "ordinal_position": 156}, {"identifier": "T25", "position": [9, 4], "step": 156, "ordinal_position": 157}, {"identifier": "H30", "position": [9, 3], "step": 157, "ordinal_position": 158}, {"identifier": "O28", "position": [9, 2], "step": 158, "ordinal_position": 159}, {"identifier": "V85", "position": [9, 1], "step": 159, "ordinal_position": 160}, {"identifier": "M33", "position": [8, 1], "step": 160, "ordinal_position": 161}, {"identifier": "Y62", "position": [7, 1], "step": 161, "ordinal_position": 162}, {"identifier": "V37", "position": [6, 1], "step": 162, "ordinal_position": 163}, {"identifier": "J76", "position": [5, 1], "step": 163, "ordinal_position": 164}, {"identifier": "M39", "position": [5, 2], "step": 164, "ordinal_position": 165}, {"identifier": "H13", "position": [5, 3], "step": 165, "ordinal_position": 166}, {"identifier": "C66", "position": [4, 3], "step": 166, "ordinal_position": 167}, {"identifier": "Z28", "position": [3, 3], "step": 167, "ordinal_position": 168}, {"identifier": "E62", "position": [2, 3], "step": 168, "ordinal_position": 169}, {"identifier": "O23", "position": [1, 3], "step": 169, "ordinal_position": 170}, {"identifier": "S08", "position": [1, 4], "step": 170, "ordinal_position": 171}, {"identifier": "F87", "position": [1, 5], "step": 171, "ordinal_position": 172}, {"identifier": "G40", "position": [2, 5], "step": 172, "ordinal_position": 173}, {"identifier": "P32", "position": [3, 5], "step": 173, "ordinal_position": 174}, {"identifier": "H21", "position": [3, 6], "step": 174, "ordinal_position": 175}, {"identifier": "B78", "position": [3, 7], "step": 175, "ordinal_position": 176}, {"identifier": "B30", "position": [2, 7], "step": 176, "ordinal_position": 177}, {"identifier": "D31", "position": [1, 7], "step": 177, "ordinal_position": 178}, {"identifier": "G75", "position": [1, 8], "step": 178, "ordinal_position": 179}, {"identifier": "P74", "position": [1, 9], "step": 179, "ordinal_position": 180}, {"identifier": "H82", "position": [2, 9], "step": 180, "ordinal_position": 181}, {"identifier": "U34", "position": [3, 9], "step": 181, "ordinal_position": 182}, {"identifier": "G13", "position": [4, 9], "step": 182, "ordinal_position": 183}, {"identifier": "J18", "position": [5, 9], "step": 183, "ordinal_position": 184}, {"identifier": "R85", "position": [5, 8], "step": 184, "ordinal_position": 185}, {"identifier": "Y84", "position": [5, 7], "step": 185, "ordinal_position": 186}, {"identifier": "X23", "position": [5, 6], "step": 186, "ordinal_position": 187}, {"identifier": "K05", "position": [5, 5], "step": 187, "ordinal_position": 188}, {"identifier": "A20", "position": [6, 5], "step": 188, "ordinal_position": 189}, {"identifier": "B51", "position": [7, 5], "step": 189, "ordinal_position": 190}, {"identifier": "T66", "position": [8, 5], "step": 190, "ordinal_position": 191}, {"identifier": "J16", "position": [9, 5], "step": 191, "ordinal_position": 192}, {"identifier": "T25", "position": [9, 4], "step": 192, "ordinal_position": 193}, {"identifier": "H30", "position": [9, 3], "step": 193, "ordinal_position": 194}, {"identifier": "O28", "position": [9, 2], "step": 194, "ordinal_position": 195}, {"identifier": "V85", "position": [9, 1], "step": 195, "ordinal_position": 196}, {"identifier": "M33", "position": [8, 1], "step": 196, "ordinal_position": 197}, {"identifier": "Y62", "position": [7, 1], "step": 197, "ordinal_position": 198}, {"identifier": "V37", "position": [6, 1], "step": 198, "ordinal_position": 199}, {"identifier": "J76", "position": [5, 1], "step": 199, "ordinal_position": 200}, {"identifier": "M39", "position": [5, 2], "step": 200, "ordinal_position": 201}, {"identifier": "H13", "position": [5, 3], "step": 201, "ordinal_position": 202}, {"identifier": "C66", "position": [4, 3], "step": 202, "ordinal_position": 203}, {"identifier": "Z28", "position": [3, 3], "step": 203, "ordinal_position": 204}, {"identifier": "E62", "position": [2, 3], "step": 204, "ordinal_position": 205}, {"identifier": "O23", "position": [1, 3], "step": 205, "ordinal_position": 206}, {"identifier": "S08", "position": [1, 4], "step": 206, "ordinal_position": 207}, {"identifier": "F87", "position": [1, 5], "step": 207, "ordinal_position": 208}, {"identifier": "G40", "position": [2, 5], "step": 208, "ordinal_position": 209}, {"identifier": "P32", "position": [3, 5], "step": 209, "ordinal_position": 210}, {"identifier": "H21", "position": [3, 6], "step": 210, "ordinal_position": 211}, {"identifier": "B78", "position": [3, 7], "step": 211, "ordinal_position": 212}, {"identifier": "B30", "position": [2, 7], "step": 212, "ordinal_position": 213}, {"identifier": "D31", "position": [1, 7], "step": 213, "ordinal_position": 214}, {"identifier": "G75", "position": [1, 8], "step": 214, "ordinal_position": 215}, {"identifier": "P74", "position": [1, 9], "step": 215, "ordinal_position": 216}, {"identifier": "H82", "position": [2, 9], "step": 216, "ordinal_position": 217}, {"identifier": "U34", "position": [3, 9], "step": 217, "ordinal_position": 218}, {"identifier": "G13", "position": [4, 9], "step": 218, "ordinal_position": 219}, {"identifier": "J18", "position": [5, 9], "step": 219, "ordinal_position": 220}, {"identifier": "R85", "position": [5, 8], "step": 220, "ordinal_position": 221}, {"identifier": "Y84", "position": [5, 7], "step": 221, "ordinal_position": 222}, {"identifier": "X23", "position": [5, 6], "step": 222, "ordinal_position": 223}, {"identifier": "K05", "position": [5, 5], "step": 223, "ordinal_position": 224}, {"identifier": "A20", "position": [6, 5], "step": 224, "ordinal_position": 225}, {"identifier": "B51", "position": [7, 5], "step": 225, "ordinal_position": 226}, {"identifier": "T66", "position": [8, 5], "step": 226, "ordinal_position": 227}, {"identifier": "J16", "position": [9, 5], "step": 227, "ordinal_position": 228}, {"identifier": "T25", "position": [9, 4], "step": 228, "ordinal_position": 229}, {"identifier": "H30", "position": [9, 3], "step": 229, "ordinal_position": 230}, {"identifier": "O28", "position": [9, 2], "step": 230, "ordinal_position": 231}, {"identifier": "V85", "position": [9, 1], "step": 231, "ordinal_position": 232}, {"identifier": "M33", "position": [8, 1], "step": 232, "ordinal_position": 233}, {"identifier": "Y62", "position": [7, 1], "step": 233, "ordinal_position": 234}, {"identifier": "V37", "position": [6, 1], "step": 234, "ordinal_position": 235}, {"identifier": "J76", "position": [5, 1], "step": 235, "ordinal_position": 236}, {"identifier": "M39", "position": [5, 2], "step": 236, "ordinal_position": 237}, {"identifier": "H13", "position": [5, 3], "step": 237, "ordinal_position": 238}, {"identifier": "C66", "position": [4, 3], "step": 238, "ordinal_position": 239}, {"identifier": "Z28", "position": [3, 3], "step": 239, "ordinal_position": 240}, {"identifier": "E62", "position": [2, 3], "step": 240, "ordinal_position": 241}, {"identifier": "O23", "position": [1, 3], "step": 241, "ordinal_position": 242}, {"identifier": "S08", "position": [1, 4], "step": 242, "ordinal_position": 243}, {"identifier": "F87", "position": [1, 5], "step": 243, "ordinal_position": 244}, {"identifier": "G40", "position": [2, 5], "step": 244, "ordinal_position": 245}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 245, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_010.json"}} {"qa_id": "6252b5936ec14a78803c4e2f70045281", "image_id": "L3-MazeLoop-test_11x11_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G75, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 224th position in this traversal?", "start_object_id": "G75", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [224], "ordinal_strings": ["224th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "L25", "traversal_path": [{"identifier": "G75", "position": [1, 8], "step": 0, "ordinal_position": 1}, {"identifier": "P74", "position": [1, 9], "step": 1, "ordinal_position": 2}, {"identifier": "H82", "position": [2, 9], "step": 2, "ordinal_position": 3}, {"identifier": "U34", "position": [3, 9], "step": 3, "ordinal_position": 4}, {"identifier": "G13", "position": [4, 9], "step": 4, "ordinal_position": 5}, {"identifier": "J18", "position": [5, 9], "step": 5, "ordinal_position": 6}, {"identifier": "R85", "position": [5, 8], "step": 6, "ordinal_position": 7}, {"identifier": "Y84", "position": [5, 7], "step": 7, "ordinal_position": 8}, {"identifier": "X23", "position": [5, 6], "step": 8, "ordinal_position": 9}, {"identifier": "K05", "position": [5, 5], "step": 9, "ordinal_position": 10}, {"identifier": "A20", "position": [6, 5], "step": 10, "ordinal_position": 11}, {"identifier": "B51", "position": [7, 5], "step": 11, "ordinal_position": 12}, {"identifier": "T66", "position": [8, 5], "step": 12, "ordinal_position": 13}, {"identifier": "J16", "position": [9, 5], "step": 13, "ordinal_position": 14}, {"identifier": "K93", "position": [9, 6], "step": 14, "ordinal_position": 15}, {"identifier": "L25", "position": [9, 7], "step": 15, "ordinal_position": 16}, {"identifier": "E89", "position": [9, 8], "step": 16, "ordinal_position": 17}, {"identifier": "R80", "position": [9, 9], "step": 17, "ordinal_position": 18}, {"identifier": "S66", "position": [8, 9], "step": 18, "ordinal_position": 19}, {"identifier": "N29", "position": [7, 9], "step": 19, "ordinal_position": 20}, {"identifier": "C95", "position": [7, 8], "step": 20, "ordinal_position": 21}, {"identifier": "D95", "position": [7, 7], "step": 21, "ordinal_position": 22}, {"identifier": "Q91", "position": [8, 7], "step": 22, "ordinal_position": 23}, {"identifier": "L25", "position": [9, 7], "step": 23, "ordinal_position": 24}, {"identifier": "E89", "position": [9, 8], "step": 24, "ordinal_position": 25}, {"identifier": "R80", "position": [9, 9], "step": 25, "ordinal_position": 26}, {"identifier": "S66", "position": [8, 9], "step": 26, "ordinal_position": 27}, {"identifier": "N29", "position": [7, 9], "step": 27, "ordinal_position": 28}, {"identifier": "C95", "position": [7, 8], "step": 28, "ordinal_position": 29}, {"identifier": "D95", "position": [7, 7], "step": 29, "ordinal_position": 30}, {"identifier": "Q91", "position": [8, 7], "step": 30, "ordinal_position": 31}, {"identifier": "L25", "position": [9, 7], "step": 31, "ordinal_position": 32}, {"identifier": "E89", "position": [9, 8], "step": 32, "ordinal_position": 33}, {"identifier": "R80", "position": [9, 9], "step": 33, "ordinal_position": 34}, {"identifier": "S66", "position": [8, 9], "step": 34, "ordinal_position": 35}, {"identifier": "N29", "position": [7, 9], "step": 35, "ordinal_position": 36}, {"identifier": "C95", "position": [7, 8], "step": 36, "ordinal_position": 37}, {"identifier": "D95", "position": [7, 7], "step": 37, "ordinal_position": 38}, {"identifier": "Q91", "position": [8, 7], "step": 38, "ordinal_position": 39}, {"identifier": "L25", "position": [9, 7], "step": 39, "ordinal_position": 40}, {"identifier": "E89", "position": [9, 8], "step": 40, "ordinal_position": 41}, {"identifier": "R80", "position": [9, 9], "step": 41, "ordinal_position": 42}, {"identifier": "S66", "position": [8, 9], "step": 42, "ordinal_position": 43}, {"identifier": "N29", "position": [7, 9], "step": 43, "ordinal_position": 44}, {"identifier": "C95", "position": [7, 8], "step": 44, "ordinal_position": 45}, {"identifier": "D95", "position": [7, 7], "step": 45, "ordinal_position": 46}, {"identifier": "Q91", "position": [8, 7], "step": 46, "ordinal_position": 47}, {"identifier": "L25", "position": [9, 7], "step": 47, "ordinal_position": 48}, {"identifier": "E89", "position": [9, 8], "step": 48, "ordinal_position": 49}, {"identifier": "R80", "position": [9, 9], "step": 49, "ordinal_position": 50}, {"identifier": "S66", "position": [8, 9], "step": 50, "ordinal_position": 51}, {"identifier": "N29", "position": [7, 9], "step": 51, "ordinal_position": 52}, {"identifier": "C95", "position": [7, 8], "step": 52, "ordinal_position": 53}, {"identifier": "D95", "position": [7, 7], "step": 53, "ordinal_position": 54}, {"identifier": "Q91", "position": [8, 7], "step": 54, "ordinal_position": 55}, {"identifier": "L25", "position": [9, 7], "step": 55, "ordinal_position": 56}, {"identifier": "E89", "position": [9, 8], "step": 56, "ordinal_position": 57}, {"identifier": "R80", "position": [9, 9], "step": 57, "ordinal_position": 58}, {"identifier": "S66", "position": [8, 9], "step": 58, "ordinal_position": 59}, {"identifier": "N29", "position": [7, 9], "step": 59, "ordinal_position": 60}, {"identifier": "C95", "position": [7, 8], "step": 60, "ordinal_position": 61}, {"identifier": "D95", "position": [7, 7], "step": 61, "ordinal_position": 62}, {"identifier": "Q91", "position": [8, 7], "step": 62, "ordinal_position": 63}, {"identifier": "L25", "position": [9, 7], "step": 63, "ordinal_position": 64}, {"identifier": "E89", "position": [9, 8], "step": 64, "ordinal_position": 65}, {"identifier": "R80", "position": [9, 9], "step": 65, "ordinal_position": 66}, {"identifier": "S66", "position": [8, 9], "step": 66, "ordinal_position": 67}, {"identifier": "N29", "position": [7, 9], "step": 67, "ordinal_position": 68}, {"identifier": "C95", "position": [7, 8], "step": 68, "ordinal_position": 69}, {"identifier": "D95", "position": [7, 7], "step": 69, "ordinal_position": 70}, {"identifier": "Q91", "position": [8, 7], "step": 70, "ordinal_position": 71}, {"identifier": "L25", "position": [9, 7], "step": 71, "ordinal_position": 72}, {"identifier": "E89", "position": [9, 8], "step": 72, "ordinal_position": 73}, {"identifier": "R80", "position": [9, 9], "step": 73, "ordinal_position": 74}, {"identifier": "S66", "position": [8, 9], "step": 74, "ordinal_position": 75}, {"identifier": "N29", "position": [7, 9], "step": 75, "ordinal_position": 76}, {"identifier": "C95", "position": [7, 8], "step": 76, "ordinal_position": 77}, {"identifier": "D95", "position": [7, 7], "step": 77, "ordinal_position": 78}, {"identifier": "Q91", "position": [8, 7], "step": 78, "ordinal_position": 79}, {"identifier": "L25", "position": [9, 7], "step": 79, "ordinal_position": 80}, {"identifier": "E89", "position": [9, 8], "step": 80, "ordinal_position": 81}, {"identifier": "R80", "position": [9, 9], "step": 81, "ordinal_position": 82}, {"identifier": "S66", "position": [8, 9], "step": 82, "ordinal_position": 83}, {"identifier": "N29", "position": [7, 9], "step": 83, "ordinal_position": 84}, {"identifier": "C95", "position": [7, 8], "step": 84, "ordinal_position": 85}, {"identifier": "D95", "position": [7, 7], "step": 85, "ordinal_position": 86}, {"identifier": "Q91", "position": [8, 7], "step": 86, "ordinal_position": 87}, {"identifier": "L25", "position": [9, 7], "step": 87, "ordinal_position": 88}, {"identifier": "E89", "position": [9, 8], "step": 88, "ordinal_position": 89}, {"identifier": "R80", "position": [9, 9], "step": 89, "ordinal_position": 90}, {"identifier": "S66", "position": [8, 9], "step": 90, "ordinal_position": 91}, {"identifier": "N29", "position": [7, 9], "step": 91, "ordinal_position": 92}, {"identifier": "C95", "position": [7, 8], "step": 92, "ordinal_position": 93}, {"identifier": "D95", "position": [7, 7], "step": 93, "ordinal_position": 94}, {"identifier": "Q91", "position": [8, 7], "step": 94, "ordinal_position": 95}, {"identifier": "L25", "position": [9, 7], "step": 95, "ordinal_position": 96}, {"identifier": "E89", "position": [9, 8], "step": 96, "ordinal_position": 97}, {"identifier": "R80", "position": [9, 9], "step": 97, "ordinal_position": 98}, {"identifier": "S66", "position": [8, 9], "step": 98, "ordinal_position": 99}, {"identifier": "N29", "position": [7, 9], "step": 99, "ordinal_position": 100}, {"identifier": "C95", "position": [7, 8], "step": 100, "ordinal_position": 101}, {"identifier": "D95", "position": [7, 7], "step": 101, "ordinal_position": 102}, {"identifier": "Q91", "position": [8, 7], "step": 102, "ordinal_position": 103}, {"identifier": "L25", "position": [9, 7], "step": 103, "ordinal_position": 104}, {"identifier": "E89", "position": [9, 8], "step": 104, "ordinal_position": 105}, {"identifier": "R80", "position": [9, 9], "step": 105, "ordinal_position": 106}, {"identifier": "S66", "position": [8, 9], "step": 106, "ordinal_position": 107}, {"identifier": "N29", "position": [7, 9], "step": 107, "ordinal_position": 108}, {"identifier": "C95", "position": [7, 8], "step": 108, "ordinal_position": 109}, {"identifier": "D95", "position": [7, 7], "step": 109, "ordinal_position": 110}, {"identifier": "Q91", "position": [8, 7], "step": 110, "ordinal_position": 111}, {"identifier": "L25", "position": [9, 7], "step": 111, "ordinal_position": 112}, {"identifier": "E89", "position": [9, 8], "step": 112, "ordinal_position": 113}, {"identifier": "R80", "position": [9, 9], "step": 113, "ordinal_position": 114}, {"identifier": "S66", "position": [8, 9], "step": 114, "ordinal_position": 115}, {"identifier": "N29", "position": [7, 9], "step": 115, "ordinal_position": 116}, {"identifier": "C95", "position": [7, 8], "step": 116, "ordinal_position": 117}, {"identifier": "D95", "position": [7, 7], "step": 117, "ordinal_position": 118}, {"identifier": "Q91", "position": [8, 7], "step": 118, "ordinal_position": 119}, {"identifier": "L25", 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131, "ordinal_position": 132}, {"identifier": "C95", "position": [7, 8], "step": 132, "ordinal_position": 133}, {"identifier": "D95", "position": [7, 7], "step": 133, "ordinal_position": 134}, {"identifier": "Q91", "position": [8, 7], "step": 134, "ordinal_position": 135}, {"identifier": "L25", "position": [9, 7], "step": 135, "ordinal_position": 136}, {"identifier": "E89", "position": [9, 8], "step": 136, "ordinal_position": 137}, {"identifier": "R80", "position": [9, 9], "step": 137, "ordinal_position": 138}, {"identifier": "S66", "position": [8, 9], "step": 138, "ordinal_position": 139}, {"identifier": "N29", "position": [7, 9], "step": 139, "ordinal_position": 140}, {"identifier": "C95", "position": [7, 8], "step": 140, "ordinal_position": 141}, {"identifier": "D95", "position": [7, 7], "step": 141, "ordinal_position": 142}, {"identifier": "Q91", "position": [8, 7], "step": 142, "ordinal_position": 143}, {"identifier": "L25", "position": [9, 7], "step": 143, "ordinal_position": 144}, {"identifier": "E89", "position": [9, 8], "step": 144, "ordinal_position": 145}, {"identifier": "R80", "position": [9, 9], "step": 145, "ordinal_position": 146}, {"identifier": "S66", "position": [8, 9], "step": 146, "ordinal_position": 147}, {"identifier": "N29", "position": [7, 9], "step": 147, "ordinal_position": 148}, {"identifier": "C95", "position": [7, 8], "step": 148, "ordinal_position": 149}, {"identifier": "D95", "position": [7, 7], "step": 149, "ordinal_position": 150}, {"identifier": "Q91", "position": [8, 7], "step": 150, "ordinal_position": 151}, {"identifier": "L25", "position": [9, 7], "step": 151, "ordinal_position": 152}, {"identifier": "E89", "position": [9, 8], "step": 152, "ordinal_position": 153}, {"identifier": "R80", "position": [9, 9], "step": 153, "ordinal_position": 154}, {"identifier": "S66", "position": [8, 9], "step": 154, "ordinal_position": 155}, {"identifier": "N29", "position": [7, 9], "step": 155, "ordinal_position": 156}, {"identifier": "C95", "position": [7, 8], "step": 156, "ordinal_position": 157}, {"identifier": "D95", "position": [7, 7], "step": 157, "ordinal_position": 158}, {"identifier": "Q91", "position": [8, 7], "step": 158, "ordinal_position": 159}, {"identifier": "L25", "position": [9, 7], "step": 159, "ordinal_position": 160}, {"identifier": "E89", "position": [9, 8], "step": 160, "ordinal_position": 161}, {"identifier": "R80", "position": [9, 9], "step": 161, "ordinal_position": 162}, {"identifier": "S66", "position": [8, 9], "step": 162, "ordinal_position": 163}, {"identifier": "N29", "position": [7, 9], "step": 163, "ordinal_position": 164}, {"identifier": "C95", "position": [7, 8], "step": 164, "ordinal_position": 165}, {"identifier": "D95", "position": [7, 7], "step": 165, "ordinal_position": 166}, {"identifier": "Q91", "position": [8, 7], "step": 166, "ordinal_position": 167}, {"identifier": "L25", "position": [9, 7], "step": 167, "ordinal_position": 168}, {"identifier": "E89", "position": [9, 8], "step": 168, "ordinal_position": 169}, {"identifier": "R80", "position": [9, 9], "step": 169, "ordinal_position": 170}, {"identifier": "S66", "position": [8, 9], "step": 170, "ordinal_position": 171}, {"identifier": "N29", "position": [7, 9], "step": 171, "ordinal_position": 172}, {"identifier": "C95", "position": [7, 8], "step": 172, "ordinal_position": 173}, {"identifier": "D95", "position": [7, 7], "step": 173, "ordinal_position": 174}, {"identifier": "Q91", "position": [8, 7], "step": 174, "ordinal_position": 175}, {"identifier": "L25", "position": [9, 7], "step": 175, "ordinal_position": 176}, {"identifier": "E89", "position": [9, 8], "step": 176, "ordinal_position": 177}, {"identifier": "R80", "position": [9, 9], "step": 177, "ordinal_position": 178}, {"identifier": "S66", "position": [8, 9], "step": 178, "ordinal_position": 179}, {"identifier": "N29", "position": [7, 9], "step": 179, "ordinal_position": 180}, {"identifier": "C95", "position": [7, 8], "step": 180, "ordinal_position": 181}, {"identifier": "D95", "position": [7, 7], "step": 181, "ordinal_position": 182}, {"identifier": "Q91", "position": [8, 7], "step": 182, "ordinal_position": 183}, {"identifier": "L25", "position": [9, 7], "step": 183, "ordinal_position": 184}, {"identifier": "E89", "position": [9, 8], "step": 184, "ordinal_position": 185}, {"identifier": "R80", "position": [9, 9], "step": 185, "ordinal_position": 186}, {"identifier": "S66", "position": [8, 9], "step": 186, "ordinal_position": 187}, {"identifier": "N29", "position": [7, 9], "step": 187, "ordinal_position": 188}, {"identifier": "C95", "position": [7, 8], "step": 188, "ordinal_position": 189}, {"identifier": "D95", "position": [7, 7], "step": 189, "ordinal_position": 190}, {"identifier": "Q91", "position": [8, 7], "step": 190, "ordinal_position": 191}, {"identifier": "L25", "position": [9, 7], "step": 191, "ordinal_position": 192}, {"identifier": "E89", "position": [9, 8], "step": 192, "ordinal_position": 193}, {"identifier": "R80", "position": [9, 9], "step": 193, "ordinal_position": 194}, {"identifier": "S66", "position": [8, 9], "step": 194, "ordinal_position": 195}, {"identifier": "N29", "position": [7, 9], "step": 195, "ordinal_position": 196}, {"identifier": "C95", "position": [7, 8], "step": 196, "ordinal_position": 197}, {"identifier": "D95", "position": [7, 7], "step": 197, "ordinal_position": 198}, {"identifier": "Q91", "position": [8, 7], "step": 198, "ordinal_position": 199}, {"identifier": "L25", "position": [9, 7], "step": 199, "ordinal_position": 200}, {"identifier": "E89", "position": [9, 8], "step": 200, "ordinal_position": 201}, {"identifier": "R80", "position": [9, 9], "step": 201, "ordinal_position": 202}, {"identifier": "S66", "position": [8, 9], "step": 202, "ordinal_position": 203}, {"identifier": "N29", "position": [7, 9], "step": 203, "ordinal_position": 204}, {"identifier": "C95", "position": [7, 8], "step": 204, "ordinal_position": 205}, {"identifier": "D95", "position": [7, 7], "step": 205, "ordinal_position": 206}, {"identifier": "Q91", "position": [8, 7], "step": 206, "ordinal_position": 207}, {"identifier": "L25", "position": [9, 7], "step": 207, "ordinal_position": 208}, {"identifier": "E89", "position": [9, 8], "step": 208, "ordinal_position": 209}, {"identifier": "R80", "position": [9, 9], "step": 209, "ordinal_position": 210}, {"identifier": "S66", "position": [8, 9], "step": 210, "ordinal_position": 211}, {"identifier": "N29", "position": [7, 9], "step": 211, "ordinal_position": 212}, {"identifier": "C95", "position": [7, 8], "step": 212, "ordinal_position": 213}, {"identifier": "D95", "position": [7, 7], "step": 213, "ordinal_position": 214}, {"identifier": "Q91", "position": [8, 7], "step": 214, "ordinal_position": 215}, {"identifier": "L25", "position": [9, 7], "step": 215, "ordinal_position": 216}, {"identifier": "E89", "position": [9, 8], "step": 216, "ordinal_position": 217}, {"identifier": "R80", "position": [9, 9], "step": 217, "ordinal_position": 218}, {"identifier": "S66", "position": [8, 9], "step": 218, "ordinal_position": 219}, {"identifier": "N29", "position": [7, 9], "step": 219, "ordinal_position": 220}, {"identifier": "C95", "position": [7, 8], "step": 220, "ordinal_position": 221}, {"identifier": "D95", "position": [7, 7], "step": 221, "ordinal_position": 222}, {"identifier": "Q91", "position": [8, 7], "step": 222, "ordinal_position": 223}, {"identifier": "L25", "position": [9, 7], "step": 223, "ordinal_position": 224}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 224, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_010.json"}} {"qa_id": "0701125ad85840148f566470986864d3", "image_id": "L3-MazeLoop-test_11x11_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U84, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "U84", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "H27", "traversal_path": [{"identifier": "U84", "position": [5, 7], "step": 0, "ordinal_position": 1}, {"identifier": "H27", "position": [5, 6], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 2, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_011.json"}} {"qa_id": "a2217f88741d47f0bb4fd66b89816715", "image_id": "L3-MazeLoop-test_11x11_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q17, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "Q17", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "A44", "traversal_path": [{"identifier": "Q17", "position": [9, 5], "step": 0, "ordinal_position": 1}, {"identifier": "V00", "position": [9, 4], "step": 1, "ordinal_position": 2}, {"identifier": "A69", "position": [9, 3], "step": 2, "ordinal_position": 3}, {"identifier": "S32", "position": [9, 2], "step": 3, "ordinal_position": 4}, {"identifier": "L91", "position": [9, 1], "step": 4, "ordinal_position": 5}, {"identifier": "C14", "position": [8, 1], "step": 5, "ordinal_position": 6}, {"identifier": "A44", "position": [7, 1], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 7, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_011.json"}} {"qa_id": "ecf5303d61b04c0591d1fff8e9aed4f9", "image_id": "L3-MazeLoop-test_11x11_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A44, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "A44", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "H81", "traversal_path": [{"identifier": "A44", "position": [7, 1], "step": 0, "ordinal_position": 1}, {"identifier": "C14", "position": [8, 1], "step": 1, "ordinal_position": 2}, {"identifier": "L91", "position": [9, 1], "step": 2, "ordinal_position": 3}, {"identifier": "S32", "position": [9, 2], "step": 3, "ordinal_position": 4}, {"identifier": "A69", "position": [9, 3], "step": 4, "ordinal_position": 5}, {"identifier": "V00", "position": [9, 4], "step": 5, "ordinal_position": 6}, {"identifier": "Q17", "position": [9, 5], "step": 6, "ordinal_position": 7}, {"identifier": "H81", "position": [9, 6], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 8, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_011.json"}} {"qa_id": "bb5d1b34c1c147ed804d17b6a2a54e89", "image_id": "L3-MazeLoop-test_11x11_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C45, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "C45", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "W90", "traversal_path": [{"identifier": "C45", "position": [1, 9], "step": 0, "ordinal_position": 1}, {"identifier": "E41", "position": [2, 9], "step": 1, "ordinal_position": 2}, {"identifier": "N62", "position": [3, 9], "step": 2, "ordinal_position": 3}, {"identifier": "W90", "position": [4, 9], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 4, "direction": "right", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_011.json"}} {"qa_id": "51f1c95b462742d2acb0123d0410d480", "image_id": "L3-MazeLoop-test_11x11_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q79, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "Q79", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "K40", "traversal_path": [{"identifier": "Q79", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Q27", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "X19", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "F51", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "K40", "position": [1, 3], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 5, "direction": "left", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_011.json"}} {"qa_id": "da7892f10bc545a1bf6078dbc3cab916", "image_id": "L3-MazeLoop-test_11x11_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z78, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 94th position in this traversal?", "start_object_id": "Z78", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [94], "ordinal_strings": ["94th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q17", "traversal_path": [{"identifier": "Z78", "position": [7, 6], "step": 0, "ordinal_position": 1}, {"identifier": "T25", "position": [7, 7], "step": 1, "ordinal_position": 2}, {"identifier": "L05", "position": [7, 8], "step": 2, "ordinal_position": 3}, {"identifier": "E42", "position": [7, 9], "step": 3, "ordinal_position": 4}, {"identifier": "P71", "position": [6, 9], "step": 4, "ordinal_position": 5}, {"identifier": "E13", "position": [5, 9], "step": 5, "ordinal_position": 6}, {"identifier": "W90", "position": [4, 9], "step": 6, "ordinal_position": 7}, {"identifier": "N62", "position": [3, 9], "step": 7, "ordinal_position": 8}, {"identifier": "E41", "position": [2, 9], "step": 8, "ordinal_position": 9}, {"identifier": "C45", "position": [1, 9], "step": 9, "ordinal_position": 10}, {"identifier": "B21", "position": [1, 8], "step": 10, "ordinal_position": 11}, {"identifier": "R19", "position": [1, 7], "step": 11, "ordinal_position": 12}, {"identifier": "R17", "position": [1, 6], "step": 12, "ordinal_position": 13}, {"identifier": "D56", "position": [1, 5], "step": 13, "ordinal_position": 14}, {"identifier": "K09", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "K40", "position": [1, 3], "step": 15, "ordinal_position": 16}, {"identifier": "F51", "position": [1, 2], "step": 16, "ordinal_position": 17}, {"identifier": "X19", "position": [1, 1], "step": 17, "ordinal_position": 18}, {"identifier": "Q27", "position": [2, 1], "step": 18, "ordinal_position": 19}, {"identifier": "Q79", "position": [3, 1], "step": 19, "ordinal_position": 20}, {"identifier": "P83", "position": [4, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Q40", "position": [5, 1], "step": 21, "ordinal_position": 22}, {"identifier": "E83", "position": [6, 1], "step": 22, "ordinal_position": 23}, {"identifier": "A44", "position": [7, 1], "step": 23, "ordinal_position": 24}, {"identifier": "C14", "position": [8, 1], "step": 24, "ordinal_position": 25}, {"identifier": "L91", "position": [9, 1], "step": 25, "ordinal_position": 26}, {"identifier": "S32", "position": [9, 2], "step": 26, "ordinal_position": 27}, {"identifier": "A69", "position": [9, 3], "step": 27, "ordinal_position": 28}, {"identifier": "V00", "position": [9, 4], "step": 28, "ordinal_position": 29}, {"identifier": "Q17", "position": [9, 5], "step": 29, "ordinal_position": 30}, {"identifier": "H81", "position": [9, 6], "step": 30, "ordinal_position": 31}, {"identifier": "T94", "position": [9, 7], "step": 31, "ordinal_position": 32}, {"identifier": "M91", "position": [9, 8], "step": 32, "ordinal_position": 33}, {"identifier": "F36", "position": [9, 9], "step": 33, "ordinal_position": 34}, {"identifier": "C73", "position": [8, 9], "step": 34, "ordinal_position": 35}, {"identifier": "E42", "position": [7, 9], "step": 35, "ordinal_position": 36}, {"identifier": "P71", "position": [6, 9], "step": 36, "ordinal_position": 37}, {"identifier": "E13", "position": [5, 9], "step": 37, "ordinal_position": 38}, {"identifier": "W90", "position": [4, 9], "step": 38, "ordinal_position": 39}, {"identifier": "N62", "position": [3, 9], "step": 39, "ordinal_position": 40}, {"identifier": "E41", "position": [2, 9], "step": 40, "ordinal_position": 41}, {"identifier": "C45", "position": [1, 9], "step": 41, "ordinal_position": 42}, {"identifier": "B21", "position": [1, 8], "step": 42, "ordinal_position": 43}, {"identifier": "R19", "position": [1, 7], "step": 43, "ordinal_position": 44}, {"identifier": "R17", "position": [1, 6], "step": 44, "ordinal_position": 45}, {"identifier": "D56", "position": [1, 5], "step": 45, "ordinal_position": 46}, {"identifier": "K09", "position": [1, 4], "step": 46, "ordinal_position": 47}, {"identifier": "K40", "position": [1, 3], "step": 47, "ordinal_position": 48}, {"identifier": "F51", "position": [1, 2], "step": 48, "ordinal_position": 49}, {"identifier": "X19", "position": [1, 1], "step": 49, "ordinal_position": 50}, {"identifier": "Q27", "position": [2, 1], "step": 50, "ordinal_position": 51}, {"identifier": "Q79", "position": [3, 1], "step": 51, "ordinal_position": 52}, {"identifier": "P83", "position": [4, 1], "step": 52, "ordinal_position": 53}, {"identifier": "Q40", "position": [5, 1], "step": 53, "ordinal_position": 54}, {"identifier": "E83", "position": [6, 1], "step": 54, "ordinal_position": 55}, {"identifier": "A44", "position": [7, 1], "step": 55, "ordinal_position": 56}, {"identifier": "C14", "position": [8, 1], "step": 56, "ordinal_position": 57}, {"identifier": "L91", "position": [9, 1], "step": 57, "ordinal_position": 58}, {"identifier": "S32", "position": [9, 2], "step": 58, "ordinal_position": 59}, {"identifier": "A69", "position": [9, 3], "step": 59, "ordinal_position": 60}, {"identifier": "V00", "position": [9, 4], "step": 60, "ordinal_position": 61}, {"identifier": "Q17", "position": [9, 5], "step": 61, "ordinal_position": 62}, {"identifier": "H81", "position": [9, 6], "step": 62, "ordinal_position": 63}, {"identifier": "T94", "position": [9, 7], "step": 63, "ordinal_position": 64}, {"identifier": "M91", "position": [9, 8], "step": 64, "ordinal_position": 65}, {"identifier": "F36", "position": [9, 9], "step": 65, "ordinal_position": 66}, {"identifier": "C73", "position": [8, 9], "step": 66, "ordinal_position": 67}, {"identifier": "E42", "position": [7, 9], "step": 67, "ordinal_position": 68}, {"identifier": "P71", "position": [6, 9], "step": 68, "ordinal_position": 69}, {"identifier": "E13", "position": [5, 9], "step": 69, "ordinal_position": 70}, {"identifier": "W90", "position": [4, 9], "step": 70, "ordinal_position": 71}, {"identifier": "N62", "position": [3, 9], "step": 71, "ordinal_position": 72}, {"identifier": "E41", "position": [2, 9], "step": 72, "ordinal_position": 73}, {"identifier": "C45", "position": [1, 9], "step": 73, "ordinal_position": 74}, {"identifier": "B21", "position": [1, 8], "step": 74, "ordinal_position": 75}, {"identifier": "R19", "position": [1, 7], "step": 75, "ordinal_position": 76}, {"identifier": "R17", "position": [1, 6], "step": 76, "ordinal_position": 77}, {"identifier": "D56", "position": [1, 5], "step": 77, "ordinal_position": 78}, {"identifier": "K09", "position": [1, 4], "step": 78, "ordinal_position": 79}, {"identifier": "K40", "position": [1, 3], "step": 79, "ordinal_position": 80}, {"identifier": "F51", "position": [1, 2], "step": 80, "ordinal_position": 81}, {"identifier": "X19", "position": [1, 1], "step": 81, "ordinal_position": 82}, {"identifier": "Q27", "position": [2, 1], "step": 82, "ordinal_position": 83}, {"identifier": "Q79", "position": [3, 1], "step": 83, "ordinal_position": 84}, {"identifier": "P83", "position": [4, 1], "step": 84, "ordinal_position": 85}, {"identifier": "Q40", "position": [5, 1], "step": 85, "ordinal_position": 86}, {"identifier": "E83", "position": [6, 1], "step": 86, "ordinal_position": 87}, {"identifier": "A44", "position": [7, 1], "step": 87, "ordinal_position": 88}, {"identifier": "C14", "position": [8, 1], "step": 88, "ordinal_position": 89}, {"identifier": "L91", "position": [9, 1], "step": 89, "ordinal_position": 90}, {"identifier": "S32", "position": [9, 2], "step": 90, "ordinal_position": 91}, {"identifier": "A69", "position": [9, 3], "step": 91, "ordinal_position": 92}, {"identifier": "V00", "position": [9, 4], "step": 92, "ordinal_position": 93}, {"identifier": "Q17", "position": [9, 5], "step": 93, "ordinal_position": 94}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 94, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_011.json"}} {"qa_id": "c94fd0a70cf04bbf92d4168f3ffe44b5", "image_id": "L3-MazeLoop-test_11x11_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E42, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 66th position in this traversal?", "start_object_id": "E42", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [66], "ordinal_strings": ["66th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "H81", "traversal_path": [{"identifier": "E42", "position": [7, 9], "step": 0, "ordinal_position": 1}, {"identifier": "L05", "position": [7, 8], "step": 1, "ordinal_position": 2}, {"identifier": "T25", "position": [7, 7], "step": 2, "ordinal_position": 3}, {"identifier": "Z78", "position": [7, 6], "step": 3, "ordinal_position": 4}, {"identifier": "J40", "position": [7, 5], "step": 4, "ordinal_position": 5}, {"identifier": "P37", "position": [7, 4], "step": 5, "ordinal_position": 6}, {"identifier": "X06", "position": [7, 3], "step": 6, "ordinal_position": 7}, {"identifier": "H71", "position": [7, 2], "step": 7, "ordinal_position": 8}, {"identifier": "A44", "position": [7, 1], "step": 8, "ordinal_position": 9}, {"identifier": "E83", "position": [6, 1], "step": 9, "ordinal_position": 10}, {"identifier": "Q40", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "P83", "position": [4, 1], "step": 11, "ordinal_position": 12}, {"identifier": "Q79", "position": [3, 1], "step": 12, "ordinal_position": 13}, {"identifier": "Q27", "position": [2, 1], "step": 13, "ordinal_position": 14}, {"identifier": "X19", "position": [1, 1], "step": 14, "ordinal_position": 15}, {"identifier": "F51", "position": [1, 2], "step": 15, "ordinal_position": 16}, {"identifier": "K40", "position": [1, 3], "step": 16, "ordinal_position": 17}, {"identifier": "K09", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "D56", "position": [1, 5], "step": 18, "ordinal_position": 19}, {"identifier": "R17", "position": [1, 6], "step": 19, "ordinal_position": 20}, {"identifier": "R19", "position": [1, 7], "step": 20, "ordinal_position": 21}, {"identifier": "B21", "position": [1, 8], "step": 21, "ordinal_position": 22}, {"identifier": "C45", "position": [1, 9], "step": 22, "ordinal_position": 23}, {"identifier": "E41", "position": [2, 9], "step": 23, "ordinal_position": 24}, {"identifier": "N62", "position": [3, 9], "step": 24, "ordinal_position": 25}, {"identifier": "W90", "position": [4, 9], "step": 25, "ordinal_position": 26}, {"identifier": "E13", "position": [5, 9], "step": 26, "ordinal_position": 27}, {"identifier": "P71", "position": [6, 9], "step": 27, "ordinal_position": 28}, {"identifier": "E42", "position": [7, 9], "step": 28, "ordinal_position": 29}, {"identifier": "C73", "position": [8, 9], "step": 29, "ordinal_position": 30}, {"identifier": "F36", "position": [9, 9], "step": 30, "ordinal_position": 31}, {"identifier": "M91", "position": [9, 8], "step": 31, "ordinal_position": 32}, {"identifier": "T94", "position": [9, 7], "step": 32, "ordinal_position": 33}, {"identifier": "H81", "position": [9, 6], "step": 33, "ordinal_position": 34}, {"identifier": "Q17", "position": [9, 5], "step": 34, "ordinal_position": 35}, {"identifier": "V00", "position": [9, 4], "step": 35, "ordinal_position": 36}, {"identifier": "A69", "position": [9, 3], "step": 36, "ordinal_position": 37}, {"identifier": "S32", "position": [9, 2], "step": 37, "ordinal_position": 38}, {"identifier": "L91", "position": [9, 1], "step": 38, "ordinal_position": 39}, {"identifier": "C14", "position": [8, 1], "step": 39, "ordinal_position": 40}, {"identifier": "A44", "position": [7, 1], "step": 40, "ordinal_position": 41}, {"identifier": "E83", "position": [6, 1], "step": 41, "ordinal_position": 42}, {"identifier": "Q40", "position": [5, 1], "step": 42, "ordinal_position": 43}, {"identifier": "P83", "position": [4, 1], "step": 43, "ordinal_position": 44}, {"identifier": "Q79", "position": [3, 1], "step": 44, "ordinal_position": 45}, {"identifier": "Q27", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "X19", "position": [1, 1], "step": 46, "ordinal_position": 47}, {"identifier": "F51", "position": [1, 2], "step": 47, "ordinal_position": 48}, {"identifier": "K40", "position": [1, 3], "step": 48, "ordinal_position": 49}, {"identifier": "K09", "position": [1, 4], "step": 49, "ordinal_position": 50}, {"identifier": "D56", "position": [1, 5], "step": 50, "ordinal_position": 51}, {"identifier": "R17", "position": [1, 6], "step": 51, "ordinal_position": 52}, {"identifier": "R19", "position": [1, 7], "step": 52, "ordinal_position": 53}, {"identifier": "B21", "position": [1, 8], "step": 53, "ordinal_position": 54}, {"identifier": "C45", "position": [1, 9], "step": 54, "ordinal_position": 55}, {"identifier": "E41", "position": [2, 9], "step": 55, "ordinal_position": 56}, {"identifier": "N62", "position": [3, 9], "step": 56, "ordinal_position": 57}, {"identifier": "W90", "position": [4, 9], "step": 57, "ordinal_position": 58}, {"identifier": "E13", "position": [5, 9], "step": 58, "ordinal_position": 59}, {"identifier": "P71", "position": [6, 9], "step": 59, "ordinal_position": 60}, {"identifier": "E42", "position": [7, 9], "step": 60, "ordinal_position": 61}, {"identifier": "C73", "position": [8, 9], "step": 61, "ordinal_position": 62}, {"identifier": "F36", "position": [9, 9], "step": 62, "ordinal_position": 63}, {"identifier": "M91", "position": [9, 8], "step": 63, "ordinal_position": 64}, {"identifier": "T94", "position": [9, 7], "step": 64, "ordinal_position": 65}, {"identifier": "H81", "position": [9, 6], "step": 65, "ordinal_position": 66}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 66, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_011.json"}} {"qa_id": "672ef754282146069db50247ef1c58bb", "image_id": "L3-MazeLoop-test_11x11_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T25, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 24th position in this traversal?", "start_object_id": "T25", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [24], "ordinal_strings": ["24th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "P83", "traversal_path": [{"identifier": "T25", "position": [7, 7], "step": 0, "ordinal_position": 1}, {"identifier": "T04", "position": [8, 7], "step": 1, "ordinal_position": 2}, {"identifier": "T94", "position": [9, 7], "step": 2, "ordinal_position": 3}, {"identifier": "M91", "position": [9, 8], "step": 3, "ordinal_position": 4}, {"identifier": "F36", "position": [9, 9], "step": 4, "ordinal_position": 5}, {"identifier": "C73", "position": [8, 9], "step": 5, "ordinal_position": 6}, {"identifier": "E42", "position": [7, 9], "step": 6, "ordinal_position": 7}, {"identifier": "P71", "position": [6, 9], "step": 7, "ordinal_position": 8}, {"identifier": "E13", "position": [5, 9], "step": 8, "ordinal_position": 9}, {"identifier": "W90", "position": [4, 9], "step": 9, "ordinal_position": 10}, {"identifier": "N62", "position": [3, 9], "step": 10, "ordinal_position": 11}, {"identifier": "E41", "position": [2, 9], "step": 11, "ordinal_position": 12}, {"identifier": "C45", "position": [1, 9], "step": 12, "ordinal_position": 13}, {"identifier": "B21", "position": [1, 8], "step": 13, "ordinal_position": 14}, {"identifier": "R19", "position": [1, 7], "step": 14, "ordinal_position": 15}, {"identifier": "R17", "position": [1, 6], "step": 15, "ordinal_position": 16}, {"identifier": "D56", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "K09", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "K40", "position": [1, 3], "step": 18, "ordinal_position": 19}, {"identifier": "F51", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "X19", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Q27", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Q79", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "P83", "position": [4, 1], "step": 23, "ordinal_position": 24}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 24, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_011.json"}} {"qa_id": "5ffe5fe40b7f4ce290a44dc51e04bf30", "image_id": "L3-MazeLoop-test_11x11_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R19, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 21st position in this traversal?", "start_object_id": "R19", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [21], "ordinal_strings": ["21st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "A69", "traversal_path": [{"identifier": "R19", "position": [1, 7], "step": 0, "ordinal_position": 1}, {"identifier": "I13", "position": [2, 7], "step": 1, "ordinal_position": 2}, {"identifier": "E77", "position": [3, 7], "step": 2, "ordinal_position": 3}, {"identifier": "N79", "position": [4, 7], "step": 3, "ordinal_position": 4}, {"identifier": "U84", "position": [5, 7], "step": 4, "ordinal_position": 5}, {"identifier": "H27", "position": [5, 6], "step": 5, "ordinal_position": 6}, {"identifier": "C87", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "A62", "position": [4, 5], "step": 7, "ordinal_position": 8}, {"identifier": "I59", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "M74", "position": [3, 4], "step": 9, "ordinal_position": 10}, {"identifier": "I74", "position": [3, 3], "step": 10, "ordinal_position": 11}, {"identifier": "L83", "position": [4, 3], "step": 11, "ordinal_position": 12}, {"identifier": "C99", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "A02", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "Q40", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "E83", "position": [6, 1], "step": 15, "ordinal_position": 16}, {"identifier": "A44", "position": [7, 1], "step": 16, "ordinal_position": 17}, {"identifier": "C14", "position": [8, 1], "step": 17, "ordinal_position": 18}, {"identifier": "L91", "position": [9, 1], "step": 18, "ordinal_position": 19}, {"identifier": "S32", "position": [9, 2], "step": 19, "ordinal_position": 20}, {"identifier": "A69", "position": [9, 3], "step": 20, "ordinal_position": 21}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 21, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_011.json"}} {"qa_id": "aae65bc6686343198bb001903f01f1af", "image_id": "L3-MazeLoop-test_11x11_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M74, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 24th position in this traversal?", "start_object_id": "M74", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [24], "ordinal_strings": ["24th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "N62", "traversal_path": [{"identifier": "M74", "position": [3, 4], "step": 0, "ordinal_position": 1}, {"identifier": "I74", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "L83", "position": [4, 3], "step": 2, "ordinal_position": 3}, {"identifier": "C99", "position": [5, 3], "step": 3, "ordinal_position": 4}, {"identifier": "A02", "position": [5, 2], "step": 4, "ordinal_position": 5}, {"identifier": "Q40", "position": [5, 1], "step": 5, "ordinal_position": 6}, {"identifier": "E83", "position": [6, 1], "step": 6, "ordinal_position": 7}, {"identifier": "A44", "position": [7, 1], "step": 7, "ordinal_position": 8}, {"identifier": "C14", "position": [8, 1], "step": 8, "ordinal_position": 9}, {"identifier": "L91", "position": [9, 1], "step": 9, "ordinal_position": 10}, {"identifier": "S32", "position": [9, 2], "step": 10, "ordinal_position": 11}, {"identifier": "A69", "position": [9, 3], "step": 11, "ordinal_position": 12}, {"identifier": "V00", "position": [9, 4], "step": 12, "ordinal_position": 13}, {"identifier": "Q17", "position": [9, 5], "step": 13, "ordinal_position": 14}, {"identifier": "H81", "position": [9, 6], "step": 14, "ordinal_position": 15}, {"identifier": "T94", "position": [9, 7], "step": 15, "ordinal_position": 16}, {"identifier": "M91", "position": [9, 8], "step": 16, "ordinal_position": 17}, {"identifier": "F36", "position": [9, 9], "step": 17, "ordinal_position": 18}, {"identifier": "C73", "position": [8, 9], "step": 18, "ordinal_position": 19}, {"identifier": "E42", "position": [7, 9], "step": 19, "ordinal_position": 20}, {"identifier": "P71", "position": [6, 9], "step": 20, "ordinal_position": 21}, {"identifier": "E13", "position": [5, 9], "step": 21, "ordinal_position": 22}, {"identifier": "W90", "position": [4, 9], "step": 22, "ordinal_position": 23}, {"identifier": "N62", "position": [3, 9], "step": 23, "ordinal_position": 24}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 24, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_011.json"}} {"qa_id": "f9b7aa411a8b4b04a56323302590bcfa", "image_id": "L3-MazeLoop-test_11x11_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E42, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 157th position in this traversal?", "start_object_id": "E42", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [157], "ordinal_strings": ["157th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "E42", "traversal_path": [{"identifier": "E42", "position": [7, 9], "step": 0, "ordinal_position": 1}, {"identifier": "L05", "position": [7, 8], "step": 1, "ordinal_position": 2}, {"identifier": "T25", "position": [7, 7], "step": 2, "ordinal_position": 3}, {"identifier": "Z78", "position": [7, 6], "step": 3, "ordinal_position": 4}, {"identifier": "J40", "position": [7, 5], "step": 4, "ordinal_position": 5}, {"identifier": "P37", "position": [7, 4], "step": 5, "ordinal_position": 6}, {"identifier": "X06", "position": [7, 3], "step": 6, "ordinal_position": 7}, {"identifier": "H71", "position": [7, 2], "step": 7, "ordinal_position": 8}, {"identifier": "A44", "position": [7, 1], "step": 8, "ordinal_position": 9}, {"identifier": "E83", "position": [6, 1], "step": 9, "ordinal_position": 10}, {"identifier": "Q40", "position": [5, 1], "step": 10, "ordinal_position": 11}, {"identifier": "P83", "position": [4, 1], "step": 11, "ordinal_position": 12}, {"identifier": "Q79", "position": [3, 1], "step": 12, "ordinal_position": 13}, {"identifier": "Q27", "position": [2, 1], "step": 13, "ordinal_position": 14}, {"identifier": "X19", "position": [1, 1], "step": 14, "ordinal_position": 15}, {"identifier": "F51", "position": [1, 2], "step": 15, "ordinal_position": 16}, {"identifier": "K40", "position": [1, 3], "step": 16, "ordinal_position": 17}, {"identifier": "K09", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "D56", "position": [1, 5], "step": 18, "ordinal_position": 19}, {"identifier": "R17", "position": [1, 6], "step": 19, "ordinal_position": 20}, {"identifier": "R19", "position": [1, 7], "step": 20, "ordinal_position": 21}, {"identifier": "B21", "position": [1, 8], "step": 21, "ordinal_position": 22}, {"identifier": "C45", "position": [1, 9], "step": 22, "ordinal_position": 23}, {"identifier": "E41", "position": [2, 9], "step": 23, "ordinal_position": 24}, {"identifier": "N62", "position": [3, 9], "step": 24, "ordinal_position": 25}, {"identifier": "W90", "position": [4, 9], "step": 25, "ordinal_position": 26}, {"identifier": "E13", "position": [5, 9], "step": 26, "ordinal_position": 27}, {"identifier": "P71", "position": [6, 9], "step": 27, "ordinal_position": 28}, {"identifier": "E42", "position": [7, 9], "step": 28, "ordinal_position": 29}, {"identifier": "C73", "position": [8, 9], "step": 29, "ordinal_position": 30}, {"identifier": "F36", "position": [9, 9], "step": 30, "ordinal_position": 31}, {"identifier": "M91", "position": [9, 8], "step": 31, "ordinal_position": 32}, {"identifier": "T94", "position": [9, 7], "step": 32, "ordinal_position": 33}, {"identifier": "H81", "position": [9, 6], "step": 33, "ordinal_position": 34}, {"identifier": "Q17", "position": [9, 5], "step": 34, "ordinal_position": 35}, {"identifier": "V00", "position": [9, 4], "step": 35, "ordinal_position": 36}, {"identifier": "A69", "position": [9, 3], "step": 36, "ordinal_position": 37}, {"identifier": "S32", "position": [9, 2], "step": 37, "ordinal_position": 38}, {"identifier": "L91", "position": [9, 1], "step": 38, "ordinal_position": 39}, {"identifier": "C14", "position": [8, 1], "step": 39, "ordinal_position": 40}, {"identifier": "A44", "position": [7, 1], "step": 40, "ordinal_position": 41}, {"identifier": "E83", "position": [6, 1], "step": 41, "ordinal_position": 42}, {"identifier": "Q40", "position": [5, 1], "step": 42, "ordinal_position": 43}, {"identifier": "P83", "position": [4, 1], "step": 43, "ordinal_position": 44}, {"identifier": "Q79", "position": [3, 1], "step": 44, "ordinal_position": 45}, {"identifier": "Q27", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "X19", "position": [1, 1], "step": 46, "ordinal_position": 47}, {"identifier": "F51", "position": [1, 2], "step": 47, "ordinal_position": 48}, {"identifier": "K40", "position": [1, 3], "step": 48, "ordinal_position": 49}, {"identifier": "K09", "position": [1, 4], "step": 49, "ordinal_position": 50}, {"identifier": "D56", "position": [1, 5], "step": 50, "ordinal_position": 51}, {"identifier": "R17", "position": [1, 6], "step": 51, "ordinal_position": 52}, {"identifier": "R19", "position": [1, 7], "step": 52, "ordinal_position": 53}, {"identifier": "B21", "position": [1, 8], "step": 53, "ordinal_position": 54}, {"identifier": "C45", "position": [1, 9], "step": 54, "ordinal_position": 55}, {"identifier": "E41", "position": [2, 9], "step": 55, "ordinal_position": 56}, {"identifier": "N62", "position": [3, 9], "step": 56, "ordinal_position": 57}, {"identifier": "W90", "position": [4, 9], "step": 57, "ordinal_position": 58}, {"identifier": "E13", "position": [5, 9], "step": 58, "ordinal_position": 59}, {"identifier": "P71", "position": [6, 9], "step": 59, "ordinal_position": 60}, {"identifier": "E42", "position": [7, 9], "step": 60, "ordinal_position": 61}, {"identifier": "C73", "position": [8, 9], "step": 61, "ordinal_position": 62}, {"identifier": "F36", "position": [9, 9], "step": 62, "ordinal_position": 63}, {"identifier": "M91", "position": [9, 8], "step": 63, "ordinal_position": 64}, {"identifier": "T94", "position": [9, 7], "step": 64, "ordinal_position": 65}, {"identifier": "H81", "position": [9, 6], "step": 65, "ordinal_position": 66}, {"identifier": "Q17", "position": [9, 5], "step": 66, "ordinal_position": 67}, {"identifier": "V00", "position": [9, 4], "step": 67, "ordinal_position": 68}, {"identifier": "A69", "position": [9, 3], "step": 68, "ordinal_position": 69}, {"identifier": "S32", "position": [9, 2], "step": 69, "ordinal_position": 70}, {"identifier": "L91", "position": [9, 1], "step": 70, "ordinal_position": 71}, {"identifier": "C14", "position": [8, 1], "step": 71, "ordinal_position": 72}, {"identifier": "A44", "position": [7, 1], "step": 72, "ordinal_position": 73}, {"identifier": "E83", "position": [6, 1], "step": 73, "ordinal_position": 74}, {"identifier": "Q40", "position": [5, 1], "step": 74, "ordinal_position": 75}, {"identifier": "P83", "position": [4, 1], "step": 75, "ordinal_position": 76}, {"identifier": "Q79", "position": [3, 1], "step": 76, "ordinal_position": 77}, {"identifier": "Q27", "position": [2, 1], "step": 77, "ordinal_position": 78}, {"identifier": "X19", "position": [1, 1], "step": 78, "ordinal_position": 79}, {"identifier": "F51", "position": [1, 2], "step": 79, "ordinal_position": 80}, {"identifier": "K40", "position": [1, 3], "step": 80, "ordinal_position": 81}, {"identifier": "K09", "position": [1, 4], "step": 81, "ordinal_position": 82}, {"identifier": "D56", "position": [1, 5], "step": 82, "ordinal_position": 83}, {"identifier": "R17", "position": [1, 6], "step": 83, "ordinal_position": 84}, {"identifier": "R19", "position": [1, 7], "step": 84, "ordinal_position": 85}, {"identifier": "B21", "position": [1, 8], "step": 85, "ordinal_position": 86}, {"identifier": "C45", "position": [1, 9], "step": 86, "ordinal_position": 87}, {"identifier": "E41", "position": [2, 9], "step": 87, "ordinal_position": 88}, {"identifier": "N62", "position": [3, 9], "step": 88, "ordinal_position": 89}, {"identifier": "W90", "position": [4, 9], "step": 89, "ordinal_position": 90}, {"identifier": "E13", "position": [5, 9], "step": 90, "ordinal_position": 91}, {"identifier": "P71", "position": [6, 9], "step": 91, "ordinal_position": 92}, {"identifier": "E42", "position": [7, 9], "step": 92, "ordinal_position": 93}, {"identifier": "C73", "position": [8, 9], "step": 93, "ordinal_position": 94}, {"identifier": "F36", "position": [9, 9], "step": 94, "ordinal_position": 95}, {"identifier": "M91", "position": [9, 8], "step": 95, "ordinal_position": 96}, {"identifier": "T94", "position": [9, 7], "step": 96, "ordinal_position": 97}, {"identifier": "H81", "position": [9, 6], "step": 97, "ordinal_position": 98}, {"identifier": "Q17", "position": [9, 5], "step": 98, "ordinal_position": 99}, {"identifier": "V00", "position": [9, 4], "step": 99, "ordinal_position": 100}, {"identifier": "A69", "position": [9, 3], "step": 100, "ordinal_position": 101}, {"identifier": "S32", "position": [9, 2], "step": 101, "ordinal_position": 102}, {"identifier": "L91", "position": [9, 1], "step": 102, "ordinal_position": 103}, {"identifier": "C14", "position": [8, 1], "step": 103, "ordinal_position": 104}, {"identifier": "A44", "position": [7, 1], "step": 104, "ordinal_position": 105}, {"identifier": "E83", "position": [6, 1], "step": 105, "ordinal_position": 106}, {"identifier": "Q40", "position": [5, 1], "step": 106, "ordinal_position": 107}, {"identifier": "P83", "position": [4, 1], "step": 107, "ordinal_position": 108}, {"identifier": "Q79", "position": [3, 1], "step": 108, "ordinal_position": 109}, {"identifier": "Q27", "position": [2, 1], "step": 109, "ordinal_position": 110}, {"identifier": "X19", "position": [1, 1], "step": 110, "ordinal_position": 111}, {"identifier": "F51", "position": [1, 2], "step": 111, "ordinal_position": 112}, {"identifier": "K40", "position": [1, 3], "step": 112, "ordinal_position": 113}, {"identifier": "K09", "position": [1, 4], "step": 113, "ordinal_position": 114}, {"identifier": "D56", "position": [1, 5], "step": 114, "ordinal_position": 115}, {"identifier": "R17", "position": [1, 6], "step": 115, "ordinal_position": 116}, {"identifier": "R19", "position": [1, 7], "step": 116, "ordinal_position": 117}, {"identifier": "B21", "position": [1, 8], "step": 117, "ordinal_position": 118}, {"identifier": "C45", "position": [1, 9], "step": 118, "ordinal_position": 119}, {"identifier": "E41", "position": [2, 9], "step": 119, "ordinal_position": 120}, {"identifier": "N62", "position": [3, 9], "step": 120, "ordinal_position": 121}, {"identifier": "W90", "position": [4, 9], "step": 121, "ordinal_position": 122}, {"identifier": "E13", "position": [5, 9], "step": 122, "ordinal_position": 123}, {"identifier": "P71", "position": [6, 9], "step": 123, "ordinal_position": 124}, {"identifier": "E42", "position": [7, 9], "step": 124, "ordinal_position": 125}, {"identifier": "C73", "position": [8, 9], "step": 125, "ordinal_position": 126}, {"identifier": "F36", "position": [9, 9], "step": 126, "ordinal_position": 127}, {"identifier": "M91", "position": [9, 8], "step": 127, "ordinal_position": 128}, {"identifier": "T94", "position": [9, 7], "step": 128, "ordinal_position": 129}, {"identifier": "H81", "position": [9, 6], "step": 129, "ordinal_position": 130}, {"identifier": "Q17", "position": [9, 5], "step": 130, "ordinal_position": 131}, {"identifier": "V00", "position": [9, 4], "step": 131, "ordinal_position": 132}, {"identifier": "A69", "position": [9, 3], "step": 132, "ordinal_position": 133}, {"identifier": "S32", "position": [9, 2], "step": 133, "ordinal_position": 134}, {"identifier": "L91", "position": [9, 1], "step": 134, "ordinal_position": 135}, {"identifier": "C14", "position": [8, 1], "step": 135, "ordinal_position": 136}, {"identifier": "A44", "position": [7, 1], "step": 136, "ordinal_position": 137}, {"identifier": "E83", "position": [6, 1], "step": 137, "ordinal_position": 138}, {"identifier": "Q40", "position": [5, 1], "step": 138, "ordinal_position": 139}, {"identifier": "P83", "position": [4, 1], "step": 139, "ordinal_position": 140}, {"identifier": "Q79", "position": [3, 1], "step": 140, "ordinal_position": 141}, {"identifier": "Q27", "position": [2, 1], "step": 141, "ordinal_position": 142}, {"identifier": "X19", "position": [1, 1], "step": 142, "ordinal_position": 143}, {"identifier": "F51", "position": [1, 2], "step": 143, "ordinal_position": 144}, {"identifier": "K40", "position": [1, 3], "step": 144, "ordinal_position": 145}, {"identifier": "K09", "position": [1, 4], "step": 145, "ordinal_position": 146}, {"identifier": "D56", "position": [1, 5], "step": 146, "ordinal_position": 147}, {"identifier": "R17", "position": [1, 6], "step": 147, "ordinal_position": 148}, {"identifier": "R19", "position": [1, 7], "step": 148, "ordinal_position": 149}, {"identifier": "B21", "position": [1, 8], "step": 149, "ordinal_position": 150}, {"identifier": "C45", "position": [1, 9], "step": 150, "ordinal_position": 151}, {"identifier": "E41", "position": [2, 9], "step": 151, "ordinal_position": 152}, {"identifier": "N62", "position": [3, 9], "step": 152, "ordinal_position": 153}, {"identifier": "W90", "position": [4, 9], "step": 153, "ordinal_position": 154}, {"identifier": "E13", "position": [5, 9], "step": 154, "ordinal_position": 155}, {"identifier": "P71", "position": [6, 9], "step": 155, "ordinal_position": 156}, {"identifier": "E42", "position": [7, 9], "step": 156, "ordinal_position": 157}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 157, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_011.json"}} {"qa_id": "c3d47bc3e1ba48169f2860a8278c1ced", "image_id": "L3-MazeLoop-test_11x11_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N79, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 164th position in this traversal?", "start_object_id": "N79", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [164], "ordinal_strings": ["164th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "D56", "traversal_path": [{"identifier": "N79", "position": [4, 7], "step": 0, "ordinal_position": 1}, {"identifier": "U84", "position": [5, 7], "step": 1, "ordinal_position": 2}, {"identifier": "H27", "position": [5, 6], "step": 2, "ordinal_position": 3}, {"identifier": "C87", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "A62", "position": [4, 5], "step": 4, "ordinal_position": 5}, {"identifier": "I59", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "M74", "position": [3, 4], "step": 6, "ordinal_position": 7}, {"identifier": "I74", "position": [3, 3], "step": 7, "ordinal_position": 8}, {"identifier": "L83", "position": [4, 3], "step": 8, "ordinal_position": 9}, {"identifier": "C99", "position": [5, 3], "step": 9, "ordinal_position": 10}, {"identifier": "A02", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "Q40", "position": [5, 1], "step": 11, "ordinal_position": 12}, {"identifier": "E83", "position": [6, 1], "step": 12, "ordinal_position": 13}, {"identifier": "A44", "position": [7, 1], "step": 13, "ordinal_position": 14}, {"identifier": "C14", "position": [8, 1], "step": 14, "ordinal_position": 15}, {"identifier": "L91", "position": [9, 1], "step": 15, "ordinal_position": 16}, {"identifier": "S32", "position": [9, 2], "step": 16, "ordinal_position": 17}, {"identifier": "A69", "position": [9, 3], "step": 17, "ordinal_position": 18}, {"identifier": "V00", "position": [9, 4], "step": 18, "ordinal_position": 19}, {"identifier": "Q17", "position": [9, 5], "step": 19, "ordinal_position": 20}, {"identifier": "H81", "position": [9, 6], "step": 20, "ordinal_position": 21}, {"identifier": "T94", "position": [9, 7], "step": 21, "ordinal_position": 22}, {"identifier": "M91", "position": [9, 8], "step": 22, "ordinal_position": 23}, {"identifier": "F36", "position": [9, 9], "step": 23, "ordinal_position": 24}, {"identifier": "C73", "position": [8, 9], "step": 24, "ordinal_position": 25}, {"identifier": "E42", "position": [7, 9], "step": 25, "ordinal_position": 26}, {"identifier": "P71", "position": [6, 9], "step": 26, "ordinal_position": 27}, {"identifier": "E13", "position": [5, 9], "step": 27, "ordinal_position": 28}, {"identifier": "W90", "position": [4, 9], "step": 28, "ordinal_position": 29}, {"identifier": "N62", "position": [3, 9], "step": 29, "ordinal_position": 30}, {"identifier": "E41", "position": [2, 9], "step": 30, "ordinal_position": 31}, {"identifier": "C45", "position": [1, 9], "step": 31, "ordinal_position": 32}, {"identifier": "B21", "position": [1, 8], "step": 32, "ordinal_position": 33}, {"identifier": "R19", "position": [1, 7], "step": 33, "ordinal_position": 34}, {"identifier": "R17", "position": [1, 6], "step": 34, "ordinal_position": 35}, {"identifier": "D56", "position": [1, 5], "step": 35, "ordinal_position": 36}, {"identifier": "K09", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "K40", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "F51", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "X19", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "Q27", "position": [2, 1], "step": 40, "ordinal_position": 41}, {"identifier": "Q79", "position": [3, 1], "step": 41, "ordinal_position": 42}, {"identifier": "P83", "position": [4, 1], "step": 42, "ordinal_position": 43}, {"identifier": "Q40", "position": [5, 1], "step": 43, "ordinal_position": 44}, {"identifier": "E83", "position": [6, 1], "step": 44, "ordinal_position": 45}, {"identifier": "A44", "position": [7, 1], "step": 45, "ordinal_position": 46}, {"identifier": "C14", "position": [8, 1], "step": 46, "ordinal_position": 47}, {"identifier": "L91", "position": [9, 1], "step": 47, "ordinal_position": 48}, {"identifier": "S32", "position": [9, 2], "step": 48, "ordinal_position": 49}, {"identifier": "A69", "position": [9, 3], "step": 49, "ordinal_position": 50}, {"identifier": "V00", "position": [9, 4], "step": 50, "ordinal_position": 51}, {"identifier": "Q17", "position": [9, 5], "step": 51, "ordinal_position": 52}, {"identifier": "H81", "position": [9, 6], "step": 52, "ordinal_position": 53}, {"identifier": "T94", "position": [9, 7], "step": 53, "ordinal_position": 54}, {"identifier": "M91", "position": [9, 8], "step": 54, "ordinal_position": 55}, {"identifier": "F36", "position": [9, 9], "step": 55, "ordinal_position": 56}, {"identifier": "C73", "position": [8, 9], "step": 56, "ordinal_position": 57}, {"identifier": "E42", "position": [7, 9], "step": 57, "ordinal_position": 58}, {"identifier": "P71", "position": [6, 9], "step": 58, "ordinal_position": 59}, {"identifier": "E13", "position": [5, 9], "step": 59, "ordinal_position": 60}, {"identifier": "W90", "position": [4, 9], "step": 60, "ordinal_position": 61}, {"identifier": "N62", "position": [3, 9], "step": 61, "ordinal_position": 62}, {"identifier": "E41", "position": [2, 9], "step": 62, "ordinal_position": 63}, {"identifier": "C45", "position": [1, 9], "step": 63, "ordinal_position": 64}, {"identifier": "B21", "position": [1, 8], "step": 64, "ordinal_position": 65}, {"identifier": "R19", "position": [1, 7], "step": 65, "ordinal_position": 66}, {"identifier": "R17", "position": [1, 6], "step": 66, "ordinal_position": 67}, {"identifier": "D56", "position": [1, 5], "step": 67, "ordinal_position": 68}, {"identifier": "K09", "position": [1, 4], "step": 68, "ordinal_position": 69}, {"identifier": "K40", "position": [1, 3], "step": 69, "ordinal_position": 70}, {"identifier": "F51", "position": [1, 2], "step": 70, "ordinal_position": 71}, {"identifier": "X19", "position": [1, 1], "step": 71, "ordinal_position": 72}, {"identifier": "Q27", "position": [2, 1], "step": 72, "ordinal_position": 73}, {"identifier": "Q79", "position": [3, 1], "step": 73, "ordinal_position": 74}, {"identifier": "P83", "position": [4, 1], "step": 74, "ordinal_position": 75}, {"identifier": "Q40", "position": [5, 1], "step": 75, "ordinal_position": 76}, {"identifier": "E83", "position": [6, 1], "step": 76, "ordinal_position": 77}, {"identifier": "A44", "position": [7, 1], "step": 77, "ordinal_position": 78}, {"identifier": "C14", "position": [8, 1], "step": 78, "ordinal_position": 79}, {"identifier": "L91", "position": [9, 1], "step": 79, "ordinal_position": 80}, {"identifier": "S32", "position": [9, 2], "step": 80, "ordinal_position": 81}, {"identifier": "A69", "position": [9, 3], "step": 81, "ordinal_position": 82}, {"identifier": "V00", "position": [9, 4], "step": 82, "ordinal_position": 83}, {"identifier": "Q17", "position": [9, 5], "step": 83, "ordinal_position": 84}, {"identifier": "H81", "position": [9, 6], "step": 84, "ordinal_position": 85}, {"identifier": "T94", "position": [9, 7], "step": 85, "ordinal_position": 86}, {"identifier": "M91", "position": [9, 8], "step": 86, "ordinal_position": 87}, {"identifier": "F36", "position": [9, 9], "step": 87, "ordinal_position": 88}, {"identifier": "C73", "position": [8, 9], "step": 88, "ordinal_position": 89}, {"identifier": "E42", "position": [7, 9], "step": 89, "ordinal_position": 90}, {"identifier": "P71", "position": [6, 9], "step": 90, "ordinal_position": 91}, {"identifier": "E13", "position": [5, 9], "step": 91, "ordinal_position": 92}, {"identifier": "W90", "position": [4, 9], "step": 92, "ordinal_position": 93}, {"identifier": "N62", "position": [3, 9], "step": 93, "ordinal_position": 94}, {"identifier": "E41", "position": [2, 9], "step": 94, "ordinal_position": 95}, {"identifier": "C45", "position": [1, 9], "step": 95, "ordinal_position": 96}, {"identifier": "B21", "position": [1, 8], "step": 96, "ordinal_position": 97}, {"identifier": "R19", "position": [1, 7], "step": 97, "ordinal_position": 98}, {"identifier": "R17", "position": [1, 6], "step": 98, "ordinal_position": 99}, {"identifier": "D56", "position": [1, 5], "step": 99, "ordinal_position": 100}, {"identifier": "K09", "position": [1, 4], "step": 100, "ordinal_position": 101}, {"identifier": "K40", "position": [1, 3], "step": 101, "ordinal_position": 102}, {"identifier": "F51", "position": [1, 2], "step": 102, "ordinal_position": 103}, {"identifier": "X19", "position": [1, 1], "step": 103, "ordinal_position": 104}, {"identifier": "Q27", "position": [2, 1], "step": 104, "ordinal_position": 105}, {"identifier": "Q79", "position": [3, 1], "step": 105, "ordinal_position": 106}, {"identifier": "P83", "position": [4, 1], "step": 106, "ordinal_position": 107}, {"identifier": "Q40", "position": [5, 1], "step": 107, "ordinal_position": 108}, {"identifier": "E83", "position": [6, 1], "step": 108, "ordinal_position": 109}, {"identifier": "A44", "position": [7, 1], "step": 109, "ordinal_position": 110}, {"identifier": "C14", "position": [8, 1], "step": 110, "ordinal_position": 111}, {"identifier": "L91", "position": [9, 1], "step": 111, "ordinal_position": 112}, {"identifier": "S32", "position": [9, 2], "step": 112, "ordinal_position": 113}, {"identifier": "A69", "position": [9, 3], "step": 113, "ordinal_position": 114}, {"identifier": "V00", "position": [9, 4], "step": 114, "ordinal_position": 115}, {"identifier": "Q17", "position": [9, 5], "step": 115, "ordinal_position": 116}, {"identifier": "H81", "position": [9, 6], "step": 116, "ordinal_position": 117}, {"identifier": "T94", "position": [9, 7], "step": 117, "ordinal_position": 118}, {"identifier": "M91", "position": [9, 8], "step": 118, "ordinal_position": 119}, {"identifier": "F36", "position": [9, 9], "step": 119, "ordinal_position": 120}, {"identifier": "C73", "position": [8, 9], "step": 120, "ordinal_position": 121}, {"identifier": "E42", "position": [7, 9], "step": 121, "ordinal_position": 122}, {"identifier": "P71", "position": [6, 9], "step": 122, "ordinal_position": 123}, {"identifier": "E13", "position": [5, 9], "step": 123, "ordinal_position": 124}, {"identifier": "W90", "position": [4, 9], "step": 124, "ordinal_position": 125}, {"identifier": "N62", "position": [3, 9], "step": 125, "ordinal_position": 126}, {"identifier": "E41", "position": [2, 9], "step": 126, "ordinal_position": 127}, {"identifier": "C45", "position": [1, 9], "step": 127, "ordinal_position": 128}, {"identifier": "B21", "position": [1, 8], "step": 128, "ordinal_position": 129}, {"identifier": "R19", "position": [1, 7], "step": 129, "ordinal_position": 130}, {"identifier": "R17", "position": [1, 6], "step": 130, "ordinal_position": 131}, {"identifier": "D56", "position": [1, 5], "step": 131, "ordinal_position": 132}, {"identifier": "K09", "position": [1, 4], "step": 132, "ordinal_position": 133}, {"identifier": "K40", "position": [1, 3], "step": 133, "ordinal_position": 134}, {"identifier": "F51", "position": [1, 2], "step": 134, "ordinal_position": 135}, {"identifier": "X19", "position": [1, 1], "step": 135, "ordinal_position": 136}, {"identifier": "Q27", "position": [2, 1], "step": 136, "ordinal_position": 137}, {"identifier": "Q79", "position": [3, 1], "step": 137, "ordinal_position": 138}, {"identifier": "P83", "position": [4, 1], "step": 138, "ordinal_position": 139}, {"identifier": "Q40", "position": [5, 1], "step": 139, "ordinal_position": 140}, {"identifier": "E83", "position": [6, 1], "step": 140, "ordinal_position": 141}, {"identifier": "A44", "position": [7, 1], "step": 141, "ordinal_position": 142}, {"identifier": "C14", "position": [8, 1], "step": 142, "ordinal_position": 143}, {"identifier": "L91", "position": [9, 1], "step": 143, "ordinal_position": 144}, {"identifier": "S32", "position": [9, 2], "step": 144, "ordinal_position": 145}, {"identifier": "A69", "position": [9, 3], "step": 145, "ordinal_position": 146}, {"identifier": "V00", "position": [9, 4], "step": 146, "ordinal_position": 147}, {"identifier": "Q17", "position": [9, 5], "step": 147, "ordinal_position": 148}, {"identifier": "H81", "position": [9, 6], "step": 148, "ordinal_position": 149}, {"identifier": "T94", "position": [9, 7], "step": 149, "ordinal_position": 150}, {"identifier": "M91", "position": [9, 8], "step": 150, "ordinal_position": 151}, {"identifier": "F36", "position": [9, 9], "step": 151, "ordinal_position": 152}, {"identifier": "C73", "position": [8, 9], "step": 152, "ordinal_position": 153}, {"identifier": "E42", "position": [7, 9], "step": 153, "ordinal_position": 154}, {"identifier": "P71", "position": [6, 9], "step": 154, "ordinal_position": 155}, {"identifier": "E13", "position": [5, 9], "step": 155, "ordinal_position": 156}, {"identifier": "W90", "position": [4, 9], "step": 156, "ordinal_position": 157}, {"identifier": "N62", "position": [3, 9], "step": 157, "ordinal_position": 158}, {"identifier": "E41", "position": [2, 9], "step": 158, "ordinal_position": 159}, {"identifier": "C45", "position": [1, 9], "step": 159, "ordinal_position": 160}, {"identifier": "B21", "position": [1, 8], "step": 160, "ordinal_position": 161}, {"identifier": "R19", "position": [1, 7], "step": 161, "ordinal_position": 162}, {"identifier": "R17", "position": [1, 6], "step": 162, "ordinal_position": 163}, {"identifier": "D56", "position": [1, 5], "step": 163, "ordinal_position": 164}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 164, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_011.json"}} {"qa_id": "f9bf6225094b49afa49a9630646b5b3f", "image_id": "L3-MazeLoop-test_11x11_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W90, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 117th position in this traversal?", "start_object_id": "W90", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [117], "ordinal_strings": ["117th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q27", "traversal_path": [{"identifier": "W90", "position": [4, 9], "step": 0, "ordinal_position": 1}, {"identifier": "E13", "position": [5, 9], "step": 1, "ordinal_position": 2}, {"identifier": "P71", "position": [6, 9], "step": 2, "ordinal_position": 3}, {"identifier": "E42", "position": [7, 9], "step": 3, "ordinal_position": 4}, {"identifier": "C73", "position": [8, 9], "step": 4, "ordinal_position": 5}, {"identifier": "F36", "position": [9, 9], "step": 5, "ordinal_position": 6}, {"identifier": "M91", "position": [9, 8], "step": 6, "ordinal_position": 7}, {"identifier": "T94", "position": [9, 7], "step": 7, "ordinal_position": 8}, {"identifier": "H81", "position": [9, 6], "step": 8, "ordinal_position": 9}, {"identifier": "Q17", "position": [9, 5], "step": 9, "ordinal_position": 10}, {"identifier": "V00", "position": [9, 4], "step": 10, "ordinal_position": 11}, {"identifier": "A69", "position": [9, 3], "step": 11, "ordinal_position": 12}, {"identifier": "S32", "position": [9, 2], "step": 12, "ordinal_position": 13}, {"identifier": "L91", "position": [9, 1], "step": 13, "ordinal_position": 14}, {"identifier": "C14", "position": [8, 1], "step": 14, "ordinal_position": 15}, {"identifier": "A44", "position": [7, 1], "step": 15, "ordinal_position": 16}, {"identifier": "E83", "position": [6, 1], "step": 16, "ordinal_position": 17}, {"identifier": "Q40", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "P83", "position": [4, 1], "step": 18, "ordinal_position": 19}, {"identifier": "Q79", "position": [3, 1], "step": 19, "ordinal_position": 20}, {"identifier": "Q27", "position": [2, 1], "step": 20, "ordinal_position": 21}, {"identifier": "X19", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "F51", "position": [1, 2], "step": 22, "ordinal_position": 23}, {"identifier": "K40", "position": [1, 3], "step": 23, "ordinal_position": 24}, {"identifier": "K09", "position": [1, 4], "step": 24, "ordinal_position": 25}, {"identifier": "D56", "position": [1, 5], "step": 25, "ordinal_position": 26}, {"identifier": "R17", "position": [1, 6], "step": 26, "ordinal_position": 27}, {"identifier": "R19", "position": [1, 7], "step": 27, "ordinal_position": 28}, {"identifier": "B21", "position": [1, 8], "step": 28, "ordinal_position": 29}, {"identifier": "C45", "position": [1, 9], "step": 29, "ordinal_position": 30}, {"identifier": "E41", "position": [2, 9], "step": 30, "ordinal_position": 31}, {"identifier": "N62", "position": [3, 9], "step": 31, "ordinal_position": 32}, {"identifier": "W90", "position": [4, 9], "step": 32, "ordinal_position": 33}, {"identifier": "E13", "position": [5, 9], "step": 33, "ordinal_position": 34}, {"identifier": "P71", "position": [6, 9], "step": 34, "ordinal_position": 35}, {"identifier": "E42", "position": [7, 9], "step": 35, "ordinal_position": 36}, {"identifier": "C73", "position": [8, 9], "step": 36, "ordinal_position": 37}, {"identifier": "F36", "position": [9, 9], "step": 37, "ordinal_position": 38}, {"identifier": "M91", "position": [9, 8], "step": 38, "ordinal_position": 39}, {"identifier": "T94", "position": [9, 7], "step": 39, "ordinal_position": 40}, {"identifier": "H81", "position": [9, 6], "step": 40, "ordinal_position": 41}, {"identifier": "Q17", "position": [9, 5], "step": 41, "ordinal_position": 42}, {"identifier": "V00", "position": [9, 4], "step": 42, "ordinal_position": 43}, {"identifier": "A69", "position": [9, 3], "step": 43, "ordinal_position": 44}, {"identifier": "S32", "position": [9, 2], "step": 44, "ordinal_position": 45}, {"identifier": "L91", "position": [9, 1], "step": 45, "ordinal_position": 46}, {"identifier": "C14", "position": [8, 1], "step": 46, "ordinal_position": 47}, {"identifier": "A44", "position": [7, 1], "step": 47, "ordinal_position": 48}, {"identifier": "E83", "position": [6, 1], "step": 48, "ordinal_position": 49}, {"identifier": "Q40", "position": [5, 1], "step": 49, "ordinal_position": 50}, {"identifier": "P83", "position": [4, 1], "step": 50, "ordinal_position": 51}, {"identifier": "Q79", "position": [3, 1], "step": 51, "ordinal_position": 52}, {"identifier": "Q27", "position": [2, 1], "step": 52, "ordinal_position": 53}, {"identifier": "X19", "position": [1, 1], "step": 53, "ordinal_position": 54}, {"identifier": "F51", "position": [1, 2], "step": 54, "ordinal_position": 55}, {"identifier": "K40", "position": [1, 3], "step": 55, "ordinal_position": 56}, {"identifier": "K09", "position": [1, 4], "step": 56, "ordinal_position": 57}, {"identifier": "D56", "position": [1, 5], "step": 57, "ordinal_position": 58}, {"identifier": "R17", "position": [1, 6], "step": 58, "ordinal_position": 59}, {"identifier": "R19", "position": [1, 7], "step": 59, "ordinal_position": 60}, {"identifier": "B21", "position": [1, 8], "step": 60, "ordinal_position": 61}, {"identifier": "C45", "position": [1, 9], "step": 61, "ordinal_position": 62}, {"identifier": "E41", "position": [2, 9], "step": 62, "ordinal_position": 63}, {"identifier": "N62", "position": [3, 9], "step": 63, "ordinal_position": 64}, {"identifier": "W90", "position": [4, 9], "step": 64, "ordinal_position": 65}, {"identifier": "E13", "position": [5, 9], "step": 65, "ordinal_position": 66}, {"identifier": "P71", "position": [6, 9], "step": 66, "ordinal_position": 67}, {"identifier": "E42", "position": [7, 9], "step": 67, "ordinal_position": 68}, {"identifier": "C73", "position": [8, 9], "step": 68, "ordinal_position": 69}, {"identifier": "F36", "position": [9, 9], "step": 69, "ordinal_position": 70}, {"identifier": "M91", "position": [9, 8], "step": 70, "ordinal_position": 71}, {"identifier": "T94", "position": [9, 7], "step": 71, "ordinal_position": 72}, {"identifier": "H81", "position": [9, 6], "step": 72, "ordinal_position": 73}, {"identifier": "Q17", "position": [9, 5], "step": 73, "ordinal_position": 74}, {"identifier": "V00", "position": [9, 4], "step": 74, "ordinal_position": 75}, {"identifier": "A69", "position": [9, 3], "step": 75, "ordinal_position": 76}, {"identifier": "S32", "position": [9, 2], "step": 76, "ordinal_position": 77}, {"identifier": "L91", "position": [9, 1], "step": 77, "ordinal_position": 78}, {"identifier": "C14", "position": [8, 1], "step": 78, "ordinal_position": 79}, {"identifier": "A44", "position": [7, 1], "step": 79, "ordinal_position": 80}, {"identifier": "E83", "position": [6, 1], "step": 80, "ordinal_position": 81}, {"identifier": "Q40", "position": [5, 1], "step": 81, "ordinal_position": 82}, {"identifier": "P83", "position": [4, 1], "step": 82, "ordinal_position": 83}, {"identifier": "Q79", "position": [3, 1], "step": 83, "ordinal_position": 84}, {"identifier": "Q27", "position": [2, 1], "step": 84, "ordinal_position": 85}, {"identifier": "X19", "position": [1, 1], "step": 85, "ordinal_position": 86}, {"identifier": "F51", "position": [1, 2], "step": 86, "ordinal_position": 87}, {"identifier": "K40", "position": [1, 3], "step": 87, "ordinal_position": 88}, {"identifier": "K09", "position": [1, 4], "step": 88, "ordinal_position": 89}, {"identifier": "D56", "position": [1, 5], "step": 89, "ordinal_position": 90}, {"identifier": "R17", "position": [1, 6], "step": 90, "ordinal_position": 91}, {"identifier": "R19", "position": [1, 7], "step": 91, "ordinal_position": 92}, {"identifier": "B21", "position": [1, 8], "step": 92, "ordinal_position": 93}, {"identifier": "C45", "position": [1, 9], "step": 93, "ordinal_position": 94}, {"identifier": "E41", "position": [2, 9], "step": 94, "ordinal_position": 95}, {"identifier": "N62", "position": [3, 9], "step": 95, "ordinal_position": 96}, {"identifier": "W90", "position": [4, 9], "step": 96, "ordinal_position": 97}, {"identifier": "E13", "position": [5, 9], "step": 97, "ordinal_position": 98}, {"identifier": "P71", "position": [6, 9], "step": 98, "ordinal_position": 99}, {"identifier": "E42", "position": [7, 9], "step": 99, "ordinal_position": 100}, {"identifier": "C73", "position": [8, 9], "step": 100, "ordinal_position": 101}, {"identifier": "F36", "position": [9, 9], "step": 101, "ordinal_position": 102}, {"identifier": "M91", "position": [9, 8], "step": 102, "ordinal_position": 103}, {"identifier": "T94", "position": [9, 7], "step": 103, "ordinal_position": 104}, {"identifier": "H81", "position": [9, 6], "step": 104, "ordinal_position": 105}, {"identifier": "Q17", "position": [9, 5], "step": 105, "ordinal_position": 106}, {"identifier": "V00", "position": [9, 4], "step": 106, "ordinal_position": 107}, {"identifier": "A69", "position": [9, 3], "step": 107, "ordinal_position": 108}, {"identifier": "S32", "position": [9, 2], "step": 108, "ordinal_position": 109}, {"identifier": "L91", "position": [9, 1], "step": 109, "ordinal_position": 110}, {"identifier": "C14", "position": [8, 1], "step": 110, "ordinal_position": 111}, {"identifier": "A44", "position": [7, 1], "step": 111, "ordinal_position": 112}, {"identifier": "E83", "position": [6, 1], "step": 112, "ordinal_position": 113}, {"identifier": "Q40", "position": [5, 1], "step": 113, "ordinal_position": 114}, {"identifier": "P83", "position": [4, 1], "step": 114, "ordinal_position": 115}, {"identifier": "Q79", "position": [3, 1], "step": 115, "ordinal_position": 116}, {"identifier": "Q27", "position": [2, 1], "step": 116, "ordinal_position": 117}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 117, "direction": "right", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_011.json"}} {"qa_id": "816c5269f75a4f9d96295bc0b3c13766", "image_id": "L3-MazeLoop-test_11x11_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z78, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 212th position in this traversal?", "start_object_id": "Z78", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [212], "ordinal_strings": ["212th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q79", "traversal_path": [{"identifier": "Z78", "position": [7, 6], "step": 0, "ordinal_position": 1}, {"identifier": "T25", "position": [7, 7], "step": 1, "ordinal_position": 2}, {"identifier": "L05", "position": [7, 8], "step": 2, "ordinal_position": 3}, {"identifier": "E42", "position": [7, 9], "step": 3, "ordinal_position": 4}, {"identifier": "P71", "position": [6, 9], "step": 4, "ordinal_position": 5}, {"identifier": "E13", "position": [5, 9], "step": 5, "ordinal_position": 6}, {"identifier": "W90", "position": [4, 9], "step": 6, "ordinal_position": 7}, {"identifier": "N62", "position": [3, 9], "step": 7, "ordinal_position": 8}, {"identifier": "E41", "position": [2, 9], "step": 8, "ordinal_position": 9}, {"identifier": "C45", "position": [1, 9], "step": 9, "ordinal_position": 10}, {"identifier": "B21", "position": [1, 8], "step": 10, "ordinal_position": 11}, {"identifier": "R19", "position": [1, 7], "step": 11, "ordinal_position": 12}, {"identifier": "R17", "position": [1, 6], "step": 12, "ordinal_position": 13}, {"identifier": "D56", "position": [1, 5], "step": 13, "ordinal_position": 14}, {"identifier": "K09", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "K40", "position": [1, 3], "step": 15, "ordinal_position": 16}, {"identifier": "F51", "position": [1, 2], "step": 16, "ordinal_position": 17}, {"identifier": "X19", "position": [1, 1], "step": 17, "ordinal_position": 18}, {"identifier": "Q27", "position": [2, 1], "step": 18, "ordinal_position": 19}, {"identifier": "Q79", "position": [3, 1], "step": 19, "ordinal_position": 20}, {"identifier": "P83", "position": [4, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Q40", "position": [5, 1], "step": 21, "ordinal_position": 22}, {"identifier": "E83", "position": [6, 1], "step": 22, "ordinal_position": 23}, {"identifier": "A44", "position": [7, 1], "step": 23, "ordinal_position": 24}, {"identifier": "C14", "position": [8, 1], "step": 24, "ordinal_position": 25}, {"identifier": "L91", "position": [9, 1], "step": 25, "ordinal_position": 26}, {"identifier": "S32", "position": [9, 2], "step": 26, "ordinal_position": 27}, {"identifier": "A69", "position": [9, 3], "step": 27, "ordinal_position": 28}, {"identifier": "V00", "position": [9, 4], "step": 28, "ordinal_position": 29}, {"identifier": "Q17", "position": [9, 5], "step": 29, "ordinal_position": 30}, {"identifier": "H81", "position": [9, 6], "step": 30, "ordinal_position": 31}, {"identifier": "T94", "position": [9, 7], "step": 31, "ordinal_position": 32}, {"identifier": "M91", "position": [9, 8], "step": 32, "ordinal_position": 33}, {"identifier": "F36", "position": [9, 9], "step": 33, "ordinal_position": 34}, {"identifier": "C73", "position": [8, 9], "step": 34, "ordinal_position": 35}, {"identifier": "E42", "position": [7, 9], "step": 35, "ordinal_position": 36}, {"identifier": "P71", "position": [6, 9], "step": 36, "ordinal_position": 37}, {"identifier": "E13", "position": [5, 9], "step": 37, "ordinal_position": 38}, {"identifier": "W90", "position": [4, 9], "step": 38, "ordinal_position": 39}, {"identifier": "N62", "position": [3, 9], "step": 39, "ordinal_position": 40}, {"identifier": "E41", "position": [2, 9], "step": 40, "ordinal_position": 41}, {"identifier": "C45", "position": [1, 9], "step": 41, "ordinal_position": 42}, {"identifier": "B21", "position": [1, 8], "step": 42, "ordinal_position": 43}, {"identifier": "R19", "position": [1, 7], "step": 43, "ordinal_position": 44}, {"identifier": "R17", "position": [1, 6], "step": 44, "ordinal_position": 45}, {"identifier": "D56", "position": [1, 5], "step": 45, "ordinal_position": 46}, {"identifier": "K09", "position": [1, 4], "step": 46, "ordinal_position": 47}, {"identifier": "K40", "position": [1, 3], "step": 47, "ordinal_position": 48}, {"identifier": "F51", "position": [1, 2], "step": 48, "ordinal_position": 49}, {"identifier": "X19", "position": [1, 1], "step": 49, "ordinal_position": 50}, {"identifier": "Q27", "position": [2, 1], "step": 50, "ordinal_position": 51}, {"identifier": "Q79", "position": [3, 1], "step": 51, "ordinal_position": 52}, {"identifier": "P83", "position": [4, 1], "step": 52, "ordinal_position": 53}, {"identifier": "Q40", "position": [5, 1], "step": 53, "ordinal_position": 54}, {"identifier": "E83", "position": [6, 1], "step": 54, "ordinal_position": 55}, {"identifier": "A44", "position": [7, 1], "step": 55, "ordinal_position": 56}, {"identifier": "C14", "position": [8, 1], "step": 56, "ordinal_position": 57}, {"identifier": "L91", "position": [9, 1], "step": 57, "ordinal_position": 58}, {"identifier": "S32", "position": [9, 2], "step": 58, "ordinal_position": 59}, {"identifier": "A69", "position": [9, 3], "step": 59, "ordinal_position": 60}, {"identifier": "V00", "position": [9, 4], 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"C45", "position": [1, 9], "step": 73, "ordinal_position": 74}, {"identifier": "B21", "position": [1, 8], "step": 74, "ordinal_position": 75}, {"identifier": "R19", "position": [1, 7], "step": 75, "ordinal_position": 76}, {"identifier": "R17", "position": [1, 6], "step": 76, "ordinal_position": 77}, {"identifier": "D56", "position": [1, 5], "step": 77, "ordinal_position": 78}, {"identifier": "K09", "position": [1, 4], "step": 78, "ordinal_position": 79}, {"identifier": "K40", "position": [1, 3], "step": 79, "ordinal_position": 80}, {"identifier": "F51", "position": [1, 2], "step": 80, "ordinal_position": 81}, {"identifier": "X19", "position": [1, 1], "step": 81, "ordinal_position": 82}, {"identifier": "Q27", "position": [2, 1], "step": 82, "ordinal_position": 83}, {"identifier": "Q79", "position": [3, 1], "step": 83, "ordinal_position": 84}, {"identifier": "P83", "position": [4, 1], "step": 84, "ordinal_position": 85}, {"identifier": "Q40", "position": [5, 1], "step": 85, "ordinal_position": 86}, {"identifier": "E83", "position": [6, 1], "step": 86, "ordinal_position": 87}, {"identifier": "A44", "position": [7, 1], "step": 87, "ordinal_position": 88}, {"identifier": "C14", "position": [8, 1], "step": 88, "ordinal_position": 89}, {"identifier": "L91", "position": [9, 1], "step": 89, "ordinal_position": 90}, {"identifier": "S32", "position": [9, 2], "step": 90, "ordinal_position": 91}, {"identifier": "A69", "position": [9, 3], "step": 91, "ordinal_position": 92}, {"identifier": "V00", "position": [9, 4], "step": 92, "ordinal_position": 93}, {"identifier": "Q17", "position": [9, 5], "step": 93, "ordinal_position": 94}, {"identifier": "H81", "position": [9, 6], "step": 94, "ordinal_position": 95}, {"identifier": "T94", "position": [9, 7], "step": 95, "ordinal_position": 96}, {"identifier": "M91", "position": [9, 8], "step": 96, "ordinal_position": 97}, {"identifier": "F36", "position": [9, 9], "step": 97, "ordinal_position": 98}, {"identifier": "C73", "position": [8, 9], "step": 98, "ordinal_position": 99}, {"identifier": "E42", "position": [7, 9], "step": 99, "ordinal_position": 100}, {"identifier": "P71", "position": [6, 9], "step": 100, "ordinal_position": 101}, {"identifier": "E13", "position": [5, 9], "step": 101, "ordinal_position": 102}, {"identifier": "W90", "position": [4, 9], "step": 102, "ordinal_position": 103}, {"identifier": "N62", "position": [3, 9], "step": 103, "ordinal_position": 104}, {"identifier": "E41", "position": [2, 9], "step": 104, "ordinal_position": 105}, {"identifier": "C45", "position": [1, 9], "step": 105, "ordinal_position": 106}, {"identifier": "B21", "position": [1, 8], "step": 106, "ordinal_position": 107}, {"identifier": "R19", "position": [1, 7], "step": 107, "ordinal_position": 108}, {"identifier": "R17", "position": [1, 6], "step": 108, "ordinal_position": 109}, {"identifier": "D56", "position": [1, 5], "step": 109, "ordinal_position": 110}, {"identifier": "K09", "position": [1, 4], "step": 110, "ordinal_position": 111}, {"identifier": "K40", "position": [1, 3], "step": 111, "ordinal_position": 112}, {"identifier": "F51", "position": [1, 2], "step": 112, "ordinal_position": 113}, {"identifier": "X19", "position": [1, 1], "step": 113, "ordinal_position": 114}, {"identifier": "Q27", "position": [2, 1], "step": 114, "ordinal_position": 115}, {"identifier": "Q79", "position": [3, 1], "step": 115, "ordinal_position": 116}, {"identifier": "P83", "position": [4, 1], "step": 116, "ordinal_position": 117}, {"identifier": "Q40", "position": [5, 1], "step": 117, "ordinal_position": 118}, {"identifier": "E83", "position": [6, 1], "step": 118, "ordinal_position": 119}, {"identifier": "A44", "position": [7, 1], "step": 119, "ordinal_position": 120}, {"identifier": "C14", "position": [8, 1], "step": 120, "ordinal_position": 121}, {"identifier": "L91", "position": [9, 1], "step": 121, "ordinal_position": 122}, {"identifier": "S32", "position": [9, 2], "step": 122, "ordinal_position": 123}, {"identifier": "A69", "position": [9, 3], "step": 123, "ordinal_position": 124}, {"identifier": "V00", "position": [9, 4], "step": 124, "ordinal_position": 125}, {"identifier": "Q17", "position": [9, 5], "step": 125, "ordinal_position": 126}, {"identifier": "H81", "position": [9, 6], "step": 126, "ordinal_position": 127}, {"identifier": "T94", "position": [9, 7], "step": 127, "ordinal_position": 128}, {"identifier": "M91", "position": [9, 8], "step": 128, "ordinal_position": 129}, {"identifier": "F36", "position": [9, 9], "step": 129, "ordinal_position": 130}, {"identifier": "C73", "position": [8, 9], "step": 130, "ordinal_position": 131}, {"identifier": "E42", "position": [7, 9], "step": 131, "ordinal_position": 132}, {"identifier": "P71", "position": [6, 9], "step": 132, "ordinal_position": 133}, {"identifier": "E13", "position": [5, 9], "step": 133, "ordinal_position": 134}, {"identifier": "W90", "position": [4, 9], "step": 134, "ordinal_position": 135}, {"identifier": "N62", "position": [3, 9], "step": 135, "ordinal_position": 136}, {"identifier": "E41", "position": [2, 9], "step": 136, "ordinal_position": 137}, {"identifier": "C45", "position": [1, 9], "step": 137, "ordinal_position": 138}, {"identifier": "B21", "position": [1, 8], "step": 138, "ordinal_position": 139}, {"identifier": "R19", "position": [1, 7], "step": 139, "ordinal_position": 140}, {"identifier": "R17", "position": [1, 6], "step": 140, "ordinal_position": 141}, {"identifier": "D56", "position": [1, 5], "step": 141, "ordinal_position": 142}, {"identifier": "K09", "position": [1, 4], "step": 142, "ordinal_position": 143}, {"identifier": "K40", "position": [1, 3], "step": 143, "ordinal_position": 144}, {"identifier": "F51", "position": [1, 2], "step": 144, "ordinal_position": 145}, {"identifier": "X19", "position": [1, 1], "step": 145, "ordinal_position": 146}, {"identifier": "Q27", "position": [2, 1], "step": 146, "ordinal_position": 147}, {"identifier": "Q79", "position": [3, 1], "step": 147, "ordinal_position": 148}, {"identifier": "P83", "position": [4, 1], "step": 148, "ordinal_position": 149}, {"identifier": "Q40", "position": [5, 1], "step": 149, "ordinal_position": 150}, {"identifier": "E83", "position": [6, 1], "step": 150, "ordinal_position": 151}, {"identifier": "A44", "position": [7, 1], "step": 151, "ordinal_position": 152}, {"identifier": "C14", "position": [8, 1], "step": 152, "ordinal_position": 153}, {"identifier": "L91", "position": [9, 1], "step": 153, "ordinal_position": 154}, {"identifier": "S32", "position": [9, 2], "step": 154, "ordinal_position": 155}, {"identifier": "A69", "position": [9, 3], "step": 155, "ordinal_position": 156}, {"identifier": "V00", "position": [9, 4], "step": 156, "ordinal_position": 157}, {"identifier": "Q17", "position": [9, 5], "step": 157, "ordinal_position": 158}, {"identifier": "H81", "position": [9, 6], "step": 158, "ordinal_position": 159}, {"identifier": "T94", "position": [9, 7], "step": 159, "ordinal_position": 160}, {"identifier": "M91", "position": [9, 8], "step": 160, "ordinal_position": 161}, {"identifier": "F36", "position": [9, 9], "step": 161, "ordinal_position": 162}, {"identifier": "C73", "position": [8, 9], "step": 162, "ordinal_position": 163}, {"identifier": "E42", "position": [7, 9], "step": 163, "ordinal_position": 164}, {"identifier": "P71", "position": [6, 9], "step": 164, "ordinal_position": 165}, {"identifier": "E13", "position": [5, 9], "step": 165, "ordinal_position": 166}, {"identifier": "W90", "position": [4, 9], "step": 166, "ordinal_position": 167}, {"identifier": "N62", "position": [3, 9], "step": 167, "ordinal_position": 168}, {"identifier": "E41", "position": [2, 9], "step": 168, "ordinal_position": 169}, {"identifier": "C45", "position": [1, 9], "step": 169, "ordinal_position": 170}, {"identifier": "B21", "position": [1, 8], "step": 170, "ordinal_position": 171}, {"identifier": "R19", "position": [1, 7], "step": 171, "ordinal_position": 172}, {"identifier": "R17", "position": [1, 6], "step": 172, "ordinal_position": 173}, {"identifier": "D56", "position": [1, 5], "step": 173, "ordinal_position": 174}, {"identifier": "K09", "position": [1, 4], "step": 174, "ordinal_position": 175}, {"identifier": "K40", "position": [1, 3], "step": 175, "ordinal_position": 176}, {"identifier": "F51", "position": [1, 2], "step": 176, "ordinal_position": 177}, {"identifier": "X19", "position": [1, 1], "step": 177, "ordinal_position": 178}, {"identifier": "Q27", "position": [2, 1], "step": 178, "ordinal_position": 179}, {"identifier": "Q79", "position": [3, 1], "step": 179, "ordinal_position": 180}, {"identifier": "P83", "position": [4, 1], "step": 180, "ordinal_position": 181}, {"identifier": "Q40", "position": [5, 1], "step": 181, "ordinal_position": 182}, {"identifier": "E83", "position": [6, 1], "step": 182, "ordinal_position": 183}, {"identifier": "A44", "position": [7, 1], "step": 183, "ordinal_position": 184}, {"identifier": "C14", "position": [8, 1], "step": 184, "ordinal_position": 185}, {"identifier": "L91", "position": [9, 1], "step": 185, "ordinal_position": 186}, {"identifier": "S32", "position": [9, 2], "step": 186, "ordinal_position": 187}, {"identifier": "A69", "position": [9, 3], "step": 187, "ordinal_position": 188}, {"identifier": "V00", "position": [9, 4], "step": 188, "ordinal_position": 189}, {"identifier": "Q17", "position": [9, 5], "step": 189, "ordinal_position": 190}, {"identifier": "H81", "position": [9, 6], "step": 190, "ordinal_position": 191}, {"identifier": "T94", "position": [9, 7], "step": 191, "ordinal_position": 192}, {"identifier": "M91", "position": [9, 8], "step": 192, "ordinal_position": 193}, {"identifier": "F36", "position": [9, 9], "step": 193, "ordinal_position": 194}, {"identifier": "C73", "position": [8, 9], "step": 194, "ordinal_position": 195}, {"identifier": "E42", "position": [7, 9], "step": 195, "ordinal_position": 196}, {"identifier": "P71", "position": [6, 9], "step": 196, "ordinal_position": 197}, {"identifier": "E13", "position": [5, 9], "step": 197, "ordinal_position": 198}, {"identifier": "W90", "position": [4, 9], "step": 198, "ordinal_position": 199}, {"identifier": "N62", "position": [3, 9], "step": 199, "ordinal_position": 200}, {"identifier": "E41", "position": [2, 9], "step": 200, "ordinal_position": 201}, {"identifier": "C45", "position": [1, 9], "step": 201, "ordinal_position": 202}, {"identifier": "B21", "position": [1, 8], "step": 202, "ordinal_position": 203}, {"identifier": "R19", "position": [1, 7], "step": 203, "ordinal_position": 204}, {"identifier": "R17", "position": [1, 6], "step": 204, "ordinal_position": 205}, {"identifier": "D56", "position": [1, 5], "step": 205, "ordinal_position": 206}, {"identifier": "K09", "position": [1, 4], "step": 206, "ordinal_position": 207}, {"identifier": "K40", "position": [1, 3], "step": 207, "ordinal_position": 208}, {"identifier": "F51", "position": [1, 2], "step": 208, "ordinal_position": 209}, {"identifier": "X19", "position": [1, 1], "step": 209, "ordinal_position": 210}, {"identifier": "Q27", "position": [2, 1], "step": 210, "ordinal_position": 211}, {"identifier": "Q79", "position": [3, 1], "step": 211, "ordinal_position": 212}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 212, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_011.json"}} {"qa_id": "9920c819883d49049d22f84d4addfc01", "image_id": "L3-MazeLoop-test_11x11_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L83, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 102nd position in this traversal?", "start_object_id": "L83", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [102], "ordinal_strings": ["102nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "X19", "traversal_path": [{"identifier": "L83", "position": [4, 3], "step": 0, "ordinal_position": 1}, {"identifier": "I74", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "M74", "position": [3, 4], "step": 2, "ordinal_position": 3}, {"identifier": "I59", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "A62", "position": [4, 5], "step": 4, "ordinal_position": 5}, {"identifier": "C87", "position": [5, 5], "step": 5, "ordinal_position": 6}, {"identifier": "H27", "position": [5, 6], "step": 6, "ordinal_position": 7}, {"identifier": "U84", "position": [5, 7], "step": 7, "ordinal_position": 8}, {"identifier": "N79", "position": [4, 7], "step": 8, "ordinal_position": 9}, {"identifier": "E77", "position": [3, 7], "step": 9, "ordinal_position": 10}, {"identifier": "I13", "position": [2, 7], "step": 10, "ordinal_position": 11}, {"identifier": "R19", "position": [1, 7], "step": 11, "ordinal_position": 12}, {"identifier": "B21", "position": [1, 8], "step": 12, "ordinal_position": 13}, {"identifier": "C45", "position": [1, 9], "step": 13, "ordinal_position": 14}, {"identifier": "E41", "position": [2, 9], "step": 14, "ordinal_position": 15}, {"identifier": "N62", "position": [3, 9], "step": 15, "ordinal_position": 16}, {"identifier": "W90", "position": [4, 9], "step": 16, "ordinal_position": 17}, {"identifier": "E13", "position": [5, 9], "step": 17, "ordinal_position": 18}, {"identifier": "P71", "position": [6, 9], "step": 18, "ordinal_position": 19}, {"identifier": "E42", "position": [7, 9], "step": 19, "ordinal_position": 20}, {"identifier": "C73", "position": [8, 9], "step": 20, "ordinal_position": 21}, {"identifier": "F36", "position": [9, 9], "step": 21, "ordinal_position": 22}, {"identifier": "M91", "position": [9, 8], "step": 22, "ordinal_position": 23}, {"identifier": "T94", "position": [9, 7], "step": 23, "ordinal_position": 24}, {"identifier": "H81", "position": [9, 6], "step": 24, "ordinal_position": 25}, {"identifier": "Q17", "position": [9, 5], "step": 25, "ordinal_position": 26}, {"identifier": "V00", "position": [9, 4], "step": 26, "ordinal_position": 27}, {"identifier": "A69", "position": [9, 3], "step": 27, "ordinal_position": 28}, {"identifier": "S32", "position": [9, 2], "step": 28, "ordinal_position": 29}, {"identifier": "L91", "position": [9, 1], "step": 29, "ordinal_position": 30}, {"identifier": "C14", "position": [8, 1], "step": 30, "ordinal_position": 31}, {"identifier": "A44", "position": [7, 1], "step": 31, "ordinal_position": 32}, {"identifier": "E83", "position": [6, 1], "step": 32, "ordinal_position": 33}, {"identifier": "Q40", "position": [5, 1], "step": 33, "ordinal_position": 34}, {"identifier": "P83", "position": [4, 1], "step": 34, "ordinal_position": 35}, {"identifier": "Q79", "position": [3, 1], "step": 35, "ordinal_position": 36}, {"identifier": "Q27", "position": [2, 1], "step": 36, "ordinal_position": 37}, {"identifier": "X19", "position": [1, 1], "step": 37, "ordinal_position": 38}, {"identifier": "F51", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "K40", "position": [1, 3], "step": 39, "ordinal_position": 40}, {"identifier": "K09", "position": [1, 4], "step": 40, "ordinal_position": 41}, {"identifier": "D56", "position": [1, 5], "step": 41, "ordinal_position": 42}, {"identifier": "R17", "position": [1, 6], "step": 42, "ordinal_position": 43}, {"identifier": "R19", "position": [1, 7], "step": 43, "ordinal_position": 44}, {"identifier": "B21", "position": [1, 8], "step": 44, "ordinal_position": 45}, {"identifier": "C45", "position": [1, 9], "step": 45, "ordinal_position": 46}, {"identifier": "E41", "position": [2, 9], "step": 46, "ordinal_position": 47}, {"identifier": "N62", "position": [3, 9], "step": 47, "ordinal_position": 48}, {"identifier": "W90", "position": [4, 9], "step": 48, "ordinal_position": 49}, {"identifier": "E13", "position": [5, 9], "step": 49, "ordinal_position": 50}, {"identifier": "P71", "position": [6, 9], "step": 50, "ordinal_position": 51}, {"identifier": "E42", "position": [7, 9], "step": 51, "ordinal_position": 52}, {"identifier": "C73", "position": [8, 9], "step": 52, "ordinal_position": 53}, {"identifier": "F36", "position": [9, 9], "step": 53, "ordinal_position": 54}, {"identifier": "M91", "position": [9, 8], "step": 54, "ordinal_position": 55}, {"identifier": "T94", "position": [9, 7], "step": 55, "ordinal_position": 56}, {"identifier": "H81", "position": [9, 6], "step": 56, "ordinal_position": 57}, {"identifier": "Q17", "position": [9, 5], "step": 57, "ordinal_position": 58}, {"identifier": "V00", "position": [9, 4], "step": 58, "ordinal_position": 59}, {"identifier": "A69", "position": [9, 3], "step": 59, "ordinal_position": 60}, {"identifier": "S32", "position": [9, 2], "step": 60, "ordinal_position": 61}, {"identifier": "L91", "position": [9, 1], "step": 61, "ordinal_position": 62}, {"identifier": "C14", "position": [8, 1], "step": 62, "ordinal_position": 63}, {"identifier": "A44", "position": [7, 1], "step": 63, "ordinal_position": 64}, {"identifier": "E83", "position": [6, 1], "step": 64, "ordinal_position": 65}, {"identifier": "Q40", "position": [5, 1], "step": 65, "ordinal_position": 66}, {"identifier": "P83", "position": [4, 1], "step": 66, "ordinal_position": 67}, {"identifier": "Q79", "position": [3, 1], "step": 67, "ordinal_position": 68}, {"identifier": "Q27", "position": [2, 1], "step": 68, "ordinal_position": 69}, {"identifier": "X19", "position": [1, 1], "step": 69, "ordinal_position": 70}, {"identifier": "F51", "position": [1, 2], "step": 70, "ordinal_position": 71}, {"identifier": "K40", "position": [1, 3], "step": 71, "ordinal_position": 72}, {"identifier": "K09", "position": [1, 4], "step": 72, "ordinal_position": 73}, {"identifier": "D56", "position": [1, 5], "step": 73, "ordinal_position": 74}, {"identifier": "R17", "position": [1, 6], "step": 74, "ordinal_position": 75}, {"identifier": "R19", "position": [1, 7], "step": 75, "ordinal_position": 76}, {"identifier": "B21", "position": [1, 8], "step": 76, "ordinal_position": 77}, {"identifier": "C45", "position": [1, 9], "step": 77, "ordinal_position": 78}, {"identifier": "E41", "position": [2, 9], "step": 78, "ordinal_position": 79}, {"identifier": "N62", "position": [3, 9], "step": 79, "ordinal_position": 80}, {"identifier": "W90", "position": [4, 9], "step": 80, "ordinal_position": 81}, {"identifier": "E13", "position": [5, 9], "step": 81, "ordinal_position": 82}, {"identifier": "P71", "position": [6, 9], "step": 82, "ordinal_position": 83}, {"identifier": "E42", "position": [7, 9], "step": 83, "ordinal_position": 84}, {"identifier": "C73", "position": [8, 9], "step": 84, "ordinal_position": 85}, {"identifier": "F36", "position": [9, 9], "step": 85, "ordinal_position": 86}, {"identifier": "M91", "position": [9, 8], "step": 86, "ordinal_position": 87}, {"identifier": "T94", "position": [9, 7], "step": 87, "ordinal_position": 88}, {"identifier": "H81", "position": [9, 6], "step": 88, "ordinal_position": 89}, {"identifier": "Q17", "position": [9, 5], "step": 89, "ordinal_position": 90}, {"identifier": "V00", "position": [9, 4], "step": 90, "ordinal_position": 91}, {"identifier": "A69", "position": [9, 3], "step": 91, "ordinal_position": 92}, {"identifier": "S32", "position": [9, 2], "step": 92, "ordinal_position": 93}, {"identifier": "L91", "position": [9, 1], "step": 93, "ordinal_position": 94}, {"identifier": "C14", "position": [8, 1], "step": 94, "ordinal_position": 95}, {"identifier": "A44", "position": [7, 1], "step": 95, "ordinal_position": 96}, {"identifier": "E83", "position": [6, 1], "step": 96, "ordinal_position": 97}, {"identifier": "Q40", "position": [5, 1], "step": 97, "ordinal_position": 98}, {"identifier": "P83", "position": [4, 1], "step": 98, "ordinal_position": 99}, {"identifier": "Q79", "position": [3, 1], "step": 99, "ordinal_position": 100}, {"identifier": "Q27", "position": [2, 1], "step": 100, "ordinal_position": 101}, {"identifier": "X19", "position": [1, 1], "step": 101, "ordinal_position": 102}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 102, "direction": "left", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_011.json"}} {"qa_id": "d476ec755a2648cd94ec571c3022de59", "image_id": "L3-MazeLoop-test_11x11_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B05, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "B05", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "J09", "traversal_path": [{"identifier": "B05", "position": [3, 9], "step": 0, "ordinal_position": 1}, {"identifier": "E66", "position": [2, 9], "step": 1, "ordinal_position": 2}, {"identifier": "J09", "position": [1, 9], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 3, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_012.json"}} {"qa_id": "4f46fdb322a8444386e5c5d0b61ed66f", "image_id": "L3-MazeLoop-test_11x11_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H29, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 9th position in this traversal?", "start_object_id": "H29", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [9], "ordinal_strings": ["9th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "E66", "traversal_path": [{"identifier": "H29", "position": [4, 5], "step": 0, "ordinal_position": 1}, {"identifier": "H85", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "O09", "position": [5, 6], "step": 2, "ordinal_position": 3}, {"identifier": "R49", "position": [5, 7], "step": 3, "ordinal_position": 4}, {"identifier": "J62", "position": [5, 8], "step": 4, "ordinal_position": 5}, {"identifier": "B33", "position": [5, 9], "step": 5, "ordinal_position": 6}, {"identifier": "W16", "position": [4, 9], "step": 6, "ordinal_position": 7}, {"identifier": "B05", "position": [3, 9], "step": 7, "ordinal_position": 8}, {"identifier": "E66", "position": [2, 9], "step": 8, "ordinal_position": 9}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 9, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_012.json"}} {"qa_id": "596a54bc6b2b4d63a82aad973efeda45", "image_id": "L3-MazeLoop-test_11x11_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E66, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 11th position in this traversal?", "start_object_id": "E66", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [11], "ordinal_strings": ["11th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "B24", "traversal_path": [{"identifier": "E66", "position": [2, 9], "step": 0, "ordinal_position": 1}, {"identifier": "B05", "position": [3, 9], "step": 1, "ordinal_position": 2}, {"identifier": "W16", "position": [4, 9], "step": 2, "ordinal_position": 3}, {"identifier": "B33", "position": [5, 9], "step": 3, "ordinal_position": 4}, {"identifier": "B15", "position": [6, 9], "step": 4, "ordinal_position": 5}, {"identifier": "B50", "position": [7, 9], "step": 5, "ordinal_position": 6}, {"identifier": "Y87", "position": [8, 9], "step": 6, "ordinal_position": 7}, {"identifier": "E20", "position": [9, 9], "step": 7, "ordinal_position": 8}, {"identifier": "L32", "position": [9, 8], "step": 8, "ordinal_position": 9}, {"identifier": "P90", "position": [9, 7], "step": 9, "ordinal_position": 10}, {"identifier": "B24", "position": [8, 7], "step": 10, "ordinal_position": 11}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 11, "direction": "right", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_012.json"}} {"qa_id": "78d480727720412e8ac71785e196c9e5", "image_id": "L3-MazeLoop-test_11x11_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y88, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "Y88", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q40", "traversal_path": [{"identifier": "Y88", "position": [7, 5], "step": 0, "ordinal_position": 1}, {"identifier": "P79", "position": [8, 5], "step": 1, "ordinal_position": 2}, {"identifier": "V25", "position": [9, 5], "step": 2, "ordinal_position": 3}, {"identifier": "N73", "position": [9, 4], "step": 3, "ordinal_position": 4}, {"identifier": "X47", "position": [9, 3], "step": 4, "ordinal_position": 5}, {"identifier": "R15", "position": [9, 2], "step": 5, "ordinal_position": 6}, {"identifier": "Q40", "position": [9, 1], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 7, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_012.json"}} {"qa_id": "61d69e23149e40feab29d59a405da5f4", "image_id": "L3-MazeLoop-test_11x11_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y88, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 10th position in this traversal?", "start_object_id": "Y88", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [10], "ordinal_strings": ["10th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "T52", "traversal_path": [{"identifier": "Y88", "position": [7, 5], "step": 0, "ordinal_position": 1}, {"identifier": "P79", "position": [8, 5], "step": 1, "ordinal_position": 2}, {"identifier": "V25", "position": [9, 5], "step": 2, "ordinal_position": 3}, {"identifier": "N73", "position": [9, 4], "step": 3, "ordinal_position": 4}, {"identifier": "X47", "position": [9, 3], "step": 4, "ordinal_position": 5}, {"identifier": "R15", "position": [9, 2], "step": 5, "ordinal_position": 6}, {"identifier": "Q40", "position": [9, 1], "step": 6, "ordinal_position": 7}, {"identifier": "O59", "position": [8, 1], "step": 7, "ordinal_position": 8}, {"identifier": "H34", "position": [7, 1], "step": 8, "ordinal_position": 9}, {"identifier": "T52", "position": [6, 1], "step": 9, "ordinal_position": 10}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 10, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_012.json"}} {"qa_id": "984fd560a0974b8d8ea6682e2196e2a2", "image_id": "L3-MazeLoop-test_11x11_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H34, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 86th position in this traversal?", "start_object_id": "H34", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [86], "ordinal_strings": ["86th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "B15", "traversal_path": [{"identifier": "H34", "position": [7, 1], "step": 0, "ordinal_position": 1}, {"identifier": "R61", "position": [7, 2], "step": 1, "ordinal_position": 2}, {"identifier": "U41", "position": [7, 3], "step": 2, "ordinal_position": 3}, {"identifier": "O88", "position": [6, 3], "step": 3, "ordinal_position": 4}, {"identifier": "D38", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "B78", "position": [4, 3], "step": 5, "ordinal_position": 6}, {"identifier": "P75", "position": [3, 3], "step": 6, "ordinal_position": 7}, {"identifier": "U77", "position": [3, 4], "step": 7, "ordinal_position": 8}, {"identifier": "W52", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "H29", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "H85", "position": [5, 5], "step": 10, "ordinal_position": 11}, {"identifier": "O09", "position": [5, 6], "step": 11, "ordinal_position": 12}, {"identifier": "R49", "position": [5, 7], "step": 12, "ordinal_position": 13}, {"identifier": "J62", "position": [5, 8], "step": 13, "ordinal_position": 14}, {"identifier": "B33", "position": [5, 9], "step": 14, "ordinal_position": 15}, {"identifier": "W16", "position": [4, 9], "step": 15, "ordinal_position": 16}, {"identifier": "B05", "position": [3, 9], "step": 16, "ordinal_position": 17}, {"identifier": "E66", "position": [2, 9], "step": 17, "ordinal_position": 18}, {"identifier": "J09", "position": [1, 9], "step": 18, "ordinal_position": 19}, {"identifier": "U94", "position": [1, 8], "step": 19, "ordinal_position": 20}, {"identifier": "O87", "position": [1, 7], "step": 20, "ordinal_position": 21}, {"identifier": "I37", "position": [1, 6], "step": 21, "ordinal_position": 22}, {"identifier": "L21", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "Y95", "position": [1, 4], "step": 23, "ordinal_position": 24}, {"identifier": "K33", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "D19", "position": [1, 2], "step": 25, "ordinal_position": 26}, {"identifier": "J03", "position": [1, 1], "step": 26, "ordinal_position": 27}, {"identifier": "U48", "position": [2, 1], "step": 27, "ordinal_position": 28}, {"identifier": "P20", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "D42", "position": [4, 1], "step": 29, "ordinal_position": 30}, {"identifier": "T23", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "T52", "position": [6, 1], "step": 31, "ordinal_position": 32}, {"identifier": "H34", "position": [7, 1], "step": 32, "ordinal_position": 33}, {"identifier": "O59", "position": [8, 1], "step": 33, "ordinal_position": 34}, {"identifier": "Q40", "position": [9, 1], "step": 34, "ordinal_position": 35}, {"identifier": "R15", "position": [9, 2], "step": 35, "ordinal_position": 36}, {"identifier": "X47", "position": [9, 3], "step": 36, "ordinal_position": 37}, {"identifier": "N73", "position": [9, 4], "step": 37, "ordinal_position": 38}, {"identifier": "V25", "position": [9, 5], "step": 38, "ordinal_position": 39}, {"identifier": "P79", "position": [8, 5], "step": 39, "ordinal_position": 40}, {"identifier": "Y88", "position": [7, 5], "step": 40, "ordinal_position": 41}, {"identifier": "P60", "position": [7, 6], "step": 41, "ordinal_position": 42}, {"identifier": "M69", "position": [7, 7], "step": 42, "ordinal_position": 43}, {"identifier": "B24", "position": [8, 7], "step": 43, "ordinal_position": 44}, {"identifier": "P90", "position": [9, 7], "step": 44, "ordinal_position": 45}, {"identifier": "L32", "position": [9, 8], "step": 45, "ordinal_position": 46}, {"identifier": "E20", "position": [9, 9], "step": 46, "ordinal_position": 47}, {"identifier": "Y87", "position": [8, 9], "step": 47, "ordinal_position": 48}, {"identifier": "B50", "position": [7, 9], "step": 48, "ordinal_position": 49}, {"identifier": "B15", "position": [6, 9], "step": 49, "ordinal_position": 50}, {"identifier": "B33", "position": [5, 9], "step": 50, "ordinal_position": 51}, {"identifier": "W16", "position": [4, 9], "step": 51, "ordinal_position": 52}, {"identifier": "B05", "position": [3, 9], "step": 52, "ordinal_position": 53}, {"identifier": "E66", "position": [2, 9], "step": 53, "ordinal_position": 54}, {"identifier": "J09", "position": [1, 9], "step": 54, "ordinal_position": 55}, {"identifier": "U94", "position": [1, 8], "step": 55, "ordinal_position": 56}, {"identifier": "O87", "position": [1, 7], "step": 56, "ordinal_position": 57}, {"identifier": "I37", "position": [1, 6], "step": 57, "ordinal_position": 58}, {"identifier": "L21", "position": [1, 5], "step": 58, "ordinal_position": 59}, {"identifier": "Y95", "position": [1, 4], "step": 59, "ordinal_position": 60}, {"identifier": "K33", "position": [1, 3], "step": 60, "ordinal_position": 61}, {"identifier": "D19", "position": [1, 2], "step": 61, "ordinal_position": 62}, {"identifier": "J03", "position": [1, 1], "step": 62, "ordinal_position": 63}, {"identifier": "U48", "position": [2, 1], "step": 63, "ordinal_position": 64}, {"identifier": "P20", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "D42", "position": [4, 1], "step": 65, "ordinal_position": 66}, {"identifier": "T23", "position": [5, 1], "step": 66, "ordinal_position": 67}, {"identifier": "T52", "position": [6, 1], "step": 67, "ordinal_position": 68}, {"identifier": "H34", "position": [7, 1], "step": 68, "ordinal_position": 69}, {"identifier": "O59", "position": [8, 1], "step": 69, "ordinal_position": 70}, {"identifier": "Q40", "position": [9, 1], "step": 70, "ordinal_position": 71}, {"identifier": "R15", "position": [9, 2], "step": 71, "ordinal_position": 72}, {"identifier": "X47", "position": [9, 3], "step": 72, "ordinal_position": 73}, {"identifier": "N73", "position": [9, 4], "step": 73, "ordinal_position": 74}, {"identifier": "V25", "position": [9, 5], "step": 74, "ordinal_position": 75}, {"identifier": "P79", "position": [8, 5], "step": 75, "ordinal_position": 76}, {"identifier": "Y88", "position": [7, 5], "step": 76, "ordinal_position": 77}, {"identifier": "P60", "position": [7, 6], "step": 77, "ordinal_position": 78}, {"identifier": "M69", "position": [7, 7], "step": 78, "ordinal_position": 79}, {"identifier": "B24", "position": [8, 7], "step": 79, "ordinal_position": 80}, {"identifier": "P90", "position": [9, 7], "step": 80, "ordinal_position": 81}, {"identifier": "L32", "position": [9, 8], "step": 81, "ordinal_position": 82}, {"identifier": "E20", "position": [9, 9], "step": 82, "ordinal_position": 83}, {"identifier": "Y87", "position": [8, 9], "step": 83, "ordinal_position": 84}, {"identifier": "B50", "position": [7, 9], "step": 84, "ordinal_position": 85}, {"identifier": "B15", "position": [6, 9], "step": 85, "ordinal_position": 86}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 86, "direction": "down", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_012.json"}} {"qa_id": "e98b1f54a3f847f7bcb2ecad2e1ff819", "image_id": "L3-MazeLoop-test_11x11_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B50, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 44th position in this traversal?", "start_object_id": "B50", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [44], "ordinal_strings": ["44th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U94", "traversal_path": [{"identifier": "B50", "position": [7, 9], "step": 0, "ordinal_position": 1}, {"identifier": "B15", "position": [6, 9], "step": 1, "ordinal_position": 2}, {"identifier": "B33", "position": [5, 9], "step": 2, "ordinal_position": 3}, {"identifier": "W16", "position": [4, 9], "step": 3, "ordinal_position": 4}, {"identifier": "B05", "position": [3, 9], "step": 4, "ordinal_position": 5}, {"identifier": "E66", "position": [2, 9], "step": 5, "ordinal_position": 6}, {"identifier": "J09", "position": [1, 9], "step": 6, "ordinal_position": 7}, {"identifier": "U94", "position": [1, 8], "step": 7, "ordinal_position": 8}, {"identifier": "O87", "position": [1, 7], "step": 8, "ordinal_position": 9}, {"identifier": "I37", "position": [1, 6], "step": 9, "ordinal_position": 10}, {"identifier": "L21", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "Y95", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "K33", "position": [1, 3], "step": 12, "ordinal_position": 13}, {"identifier": "D19", "position": [1, 2], "step": 13, "ordinal_position": 14}, {"identifier": "J03", "position": [1, 1], "step": 14, "ordinal_position": 15}, {"identifier": "U48", "position": [2, 1], "step": 15, "ordinal_position": 16}, {"identifier": "P20", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "D42", "position": [4, 1], "step": 17, "ordinal_position": 18}, {"identifier": "T23", "position": [5, 1], "step": 18, "ordinal_position": 19}, {"identifier": "T52", "position": [6, 1], "step": 19, "ordinal_position": 20}, {"identifier": "H34", "position": [7, 1], "step": 20, "ordinal_position": 21}, {"identifier": "O59", "position": [8, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Q40", "position": [9, 1], "step": 22, "ordinal_position": 23}, {"identifier": "R15", "position": [9, 2], "step": 23, "ordinal_position": 24}, {"identifier": "X47", "position": [9, 3], "step": 24, "ordinal_position": 25}, {"identifier": "N73", "position": [9, 4], "step": 25, "ordinal_position": 26}, {"identifier": "V25", "position": [9, 5], "step": 26, "ordinal_position": 27}, {"identifier": "P79", "position": [8, 5], "step": 27, "ordinal_position": 28}, {"identifier": "Y88", "position": [7, 5], "step": 28, "ordinal_position": 29}, {"identifier": "P60", "position": [7, 6], "step": 29, "ordinal_position": 30}, {"identifier": "M69", "position": [7, 7], "step": 30, "ordinal_position": 31}, {"identifier": "B24", "position": [8, 7], "step": 31, "ordinal_position": 32}, {"identifier": "P90", "position": [9, 7], "step": 32, "ordinal_position": 33}, {"identifier": "L32", "position": [9, 8], "step": 33, "ordinal_position": 34}, {"identifier": "E20", "position": [9, 9], "step": 34, "ordinal_position": 35}, {"identifier": "Y87", "position": [8, 9], "step": 35, "ordinal_position": 36}, {"identifier": "B50", "position": [7, 9], "step": 36, "ordinal_position": 37}, {"identifier": "B15", "position": [6, 9], "step": 37, "ordinal_position": 38}, {"identifier": "B33", "position": [5, 9], "step": 38, "ordinal_position": 39}, {"identifier": "W16", "position": [4, 9], "step": 39, "ordinal_position": 40}, {"identifier": "B05", "position": [3, 9], "step": 40, "ordinal_position": 41}, {"identifier": "E66", "position": [2, 9], "step": 41, "ordinal_position": 42}, {"identifier": "J09", "position": [1, 9], "step": 42, "ordinal_position": 43}, {"identifier": "U94", "position": [1, 8], "step": 43, "ordinal_position": 44}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 44, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_012.json"}} {"qa_id": "e435baae41c346be8d705582c5a98afd", "image_id": "L3-MazeLoop-test_11x11_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D19, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 76th position in this traversal?", "start_object_id": "D19", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [76], "ordinal_strings": ["76th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "P20", "traversal_path": [{"identifier": "D19", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "J03", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "U48", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "P20", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "D42", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "T23", "position": [5, 1], "step": 5, "ordinal_position": 6}, {"identifier": "T52", "position": [6, 1], "step": 6, "ordinal_position": 7}, {"identifier": "H34", "position": [7, 1], "step": 7, "ordinal_position": 8}, {"identifier": "O59", "position": [8, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Q40", "position": [9, 1], "step": 9, "ordinal_position": 10}, {"identifier": "R15", "position": [9, 2], "step": 10, "ordinal_position": 11}, {"identifier": "X47", "position": [9, 3], "step": 11, "ordinal_position": 12}, {"identifier": "N73", "position": [9, 4], "step": 12, "ordinal_position": 13}, {"identifier": "V25", "position": [9, 5], "step": 13, "ordinal_position": 14}, {"identifier": "P79", "position": [8, 5], "step": 14, "ordinal_position": 15}, {"identifier": "Y88", "position": [7, 5], "step": 15, "ordinal_position": 16}, {"identifier": "P60", "position": [7, 6], "step": 16, "ordinal_position": 17}, {"identifier": "M69", "position": [7, 7], "step": 17, "ordinal_position": 18}, {"identifier": "B24", "position": [8, 7], "step": 18, "ordinal_position": 19}, {"identifier": "P90", "position": [9, 7], "step": 19, "ordinal_position": 20}, {"identifier": "L32", "position": [9, 8], "step": 20, "ordinal_position": 21}, {"identifier": "E20", "position": [9, 9], "step": 21, "ordinal_position": 22}, {"identifier": "Y87", "position": [8, 9], "step": 22, "ordinal_position": 23}, {"identifier": "B50", "position": [7, 9], "step": 23, "ordinal_position": 24}, {"identifier": "B15", "position": [6, 9], "step": 24, "ordinal_position": 25}, {"identifier": "B33", "position": [5, 9], "step": 25, "ordinal_position": 26}, {"identifier": "W16", "position": [4, 9], "step": 26, "ordinal_position": 27}, {"identifier": "B05", "position": [3, 9], "step": 27, "ordinal_position": 28}, {"identifier": "E66", "position": [2, 9], "step": 28, "ordinal_position": 29}, {"identifier": "J09", "position": [1, 9], "step": 29, "ordinal_position": 30}, {"identifier": "U94", "position": [1, 8], "step": 30, "ordinal_position": 31}, {"identifier": "O87", "position": [1, 7], "step": 31, "ordinal_position": 32}, {"identifier": "I37", "position": [1, 6], "step": 32, "ordinal_position": 33}, {"identifier": "L21", "position": [1, 5], "step": 33, "ordinal_position": 34}, {"identifier": "Y95", "position": [1, 4], "step": 34, "ordinal_position": 35}, {"identifier": "K33", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "D19", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "J03", "position": [1, 1], "step": 37, "ordinal_position": 38}, {"identifier": "U48", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "P20", "position": [3, 1], "step": 39, "ordinal_position": 40}, {"identifier": "D42", "position": [4, 1], "step": 40, "ordinal_position": 41}, {"identifier": "T23", "position": [5, 1], "step": 41, "ordinal_position": 42}, {"identifier": "T52", "position": [6, 1], "step": 42, "ordinal_position": 43}, {"identifier": "H34", "position": [7, 1], "step": 43, "ordinal_position": 44}, {"identifier": "O59", "position": [8, 1], "step": 44, "ordinal_position": 45}, {"identifier": "Q40", "position": [9, 1], "step": 45, "ordinal_position": 46}, {"identifier": "R15", "position": [9, 2], "step": 46, "ordinal_position": 47}, {"identifier": "X47", "position": [9, 3], "step": 47, "ordinal_position": 48}, {"identifier": "N73", "position": [9, 4], "step": 48, "ordinal_position": 49}, {"identifier": "V25", "position": [9, 5], "step": 49, "ordinal_position": 50}, {"identifier": "P79", "position": [8, 5], "step": 50, "ordinal_position": 51}, {"identifier": "Y88", "position": [7, 5], "step": 51, "ordinal_position": 52}, {"identifier": "P60", "position": [7, 6], "step": 52, "ordinal_position": 53}, {"identifier": "M69", "position": [7, 7], "step": 53, "ordinal_position": 54}, {"identifier": "B24", "position": [8, 7], "step": 54, "ordinal_position": 55}, {"identifier": "P90", "position": [9, 7], "step": 55, "ordinal_position": 56}, {"identifier": "L32", "position": [9, 8], "step": 56, "ordinal_position": 57}, {"identifier": "E20", "position": [9, 9], "step": 57, "ordinal_position": 58}, {"identifier": "Y87", "position": [8, 9], "step": 58, "ordinal_position": 59}, {"identifier": "B50", "position": [7, 9], "step": 59, "ordinal_position": 60}, {"identifier": "B15", "position": [6, 9], "step": 60, "ordinal_position": 61}, {"identifier": "B33", "position": [5, 9], "step": 61, "ordinal_position": 62}, {"identifier": "W16", "position": [4, 9], "step": 62, "ordinal_position": 63}, {"identifier": "B05", "position": [3, 9], "step": 63, "ordinal_position": 64}, {"identifier": "E66", "position": [2, 9], "step": 64, "ordinal_position": 65}, {"identifier": "J09", "position": [1, 9], "step": 65, "ordinal_position": 66}, {"identifier": "U94", "position": [1, 8], "step": 66, "ordinal_position": 67}, {"identifier": "O87", "position": [1, 7], "step": 67, "ordinal_position": 68}, {"identifier": "I37", "position": [1, 6], "step": 68, "ordinal_position": 69}, {"identifier": "L21", "position": [1, 5], "step": 69, "ordinal_position": 70}, {"identifier": "Y95", "position": [1, 4], "step": 70, "ordinal_position": 71}, {"identifier": "K33", "position": [1, 3], "step": 71, "ordinal_position": 72}, {"identifier": "D19", "position": [1, 2], "step": 72, "ordinal_position": 73}, {"identifier": "J03", "position": [1, 1], "step": 73, "ordinal_position": 74}, {"identifier": "U48", "position": [2, 1], "step": 74, "ordinal_position": 75}, {"identifier": "P20", "position": [3, 1], "step": 75, "ordinal_position": 76}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 76, "direction": "up", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_012.json"}} {"qa_id": "5ac77838dda949988cc7c186d0109b28", "image_id": "L3-MazeLoop-test_11x11_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M69, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 24th position in this traversal?", "start_object_id": "M69", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [24], "ordinal_strings": ["24th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "D42", "traversal_path": [{"identifier": "M69", "position": [7, 7], "step": 0, "ordinal_position": 1}, {"identifier": "B24", "position": [8, 7], "step": 1, "ordinal_position": 2}, {"identifier": "P90", "position": [9, 7], "step": 2, "ordinal_position": 3}, {"identifier": "L32", "position": [9, 8], "step": 3, "ordinal_position": 4}, {"identifier": "E20", "position": [9, 9], "step": 4, "ordinal_position": 5}, {"identifier": "Y87", "position": [8, 9], "step": 5, "ordinal_position": 6}, {"identifier": "B50", "position": [7, 9], "step": 6, "ordinal_position": 7}, {"identifier": "B15", "position": [6, 9], "step": 7, "ordinal_position": 8}, {"identifier": "B33", "position": [5, 9], "step": 8, "ordinal_position": 9}, {"identifier": "W16", "position": [4, 9], "step": 9, "ordinal_position": 10}, {"identifier": "B05", "position": [3, 9], "step": 10, "ordinal_position": 11}, {"identifier": "E66", "position": [2, 9], "step": 11, "ordinal_position": 12}, {"identifier": "J09", "position": [1, 9], "step": 12, "ordinal_position": 13}, {"identifier": "U94", "position": [1, 8], "step": 13, "ordinal_position": 14}, {"identifier": "O87", "position": [1, 7], "step": 14, "ordinal_position": 15}, {"identifier": "I37", "position": [1, 6], "step": 15, "ordinal_position": 16}, {"identifier": "L21", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "Y95", "position": [1, 4], "step": 17, "ordinal_position": 18}, {"identifier": "K33", "position": [1, 3], "step": 18, "ordinal_position": 19}, {"identifier": "D19", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "J03", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "U48", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "P20", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "D42", "position": [4, 1], "step": 23, "ordinal_position": 24}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 24, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_012.json"}} {"qa_id": "005968819fb440b7b07a3895e50d5277", "image_id": "L3-MazeLoop-test_11x11_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B05, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 67th position in this traversal?", "start_object_id": "B05", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [67], "ordinal_strings": ["67th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "L21", "traversal_path": [{"identifier": "B05", "position": [3, 9], "step": 0, "ordinal_position": 1}, {"identifier": "W16", "position": [4, 9], "step": 1, "ordinal_position": 2}, {"identifier": "B33", "position": [5, 9], "step": 2, "ordinal_position": 3}, {"identifier": "B15", "position": [6, 9], "step": 3, "ordinal_position": 4}, {"identifier": "B50", "position": [7, 9], "step": 4, "ordinal_position": 5}, {"identifier": "Y87", "position": [8, 9], "step": 5, "ordinal_position": 6}, {"identifier": "E20", "position": [9, 9], "step": 6, "ordinal_position": 7}, {"identifier": "L32", "position": [9, 8], "step": 7, "ordinal_position": 8}, {"identifier": "P90", "position": [9, 7], "step": 8, "ordinal_position": 9}, {"identifier": "B24", "position": [8, 7], "step": 9, "ordinal_position": 10}, {"identifier": "M69", "position": [7, 7], "step": 10, "ordinal_position": 11}, {"identifier": "P60", "position": [7, 6], "step": 11, "ordinal_position": 12}, {"identifier": "Y88", "position": [7, 5], "step": 12, "ordinal_position": 13}, {"identifier": "P79", "position": [8, 5], "step": 13, "ordinal_position": 14}, {"identifier": "V25", "position": [9, 5], "step": 14, "ordinal_position": 15}, {"identifier": "N73", "position": [9, 4], "step": 15, "ordinal_position": 16}, {"identifier": "X47", "position": [9, 3], "step": 16, "ordinal_position": 17}, {"identifier": "R15", "position": [9, 2], "step": 17, "ordinal_position": 18}, {"identifier": "Q40", "position": [9, 1], "step": 18, "ordinal_position": 19}, {"identifier": "O59", "position": [8, 1], "step": 19, "ordinal_position": 20}, {"identifier": "H34", "position": [7, 1], "step": 20, "ordinal_position": 21}, {"identifier": "T52", "position": [6, 1], "step": 21, "ordinal_position": 22}, {"identifier": "T23", "position": [5, 1], "step": 22, "ordinal_position": 23}, {"identifier": "D42", "position": [4, 1], "step": 23, "ordinal_position": 24}, {"identifier": "P20", "position": [3, 1], "step": 24, "ordinal_position": 25}, {"identifier": "U48", "position": [2, 1], "step": 25, "ordinal_position": 26}, {"identifier": "J03", "position": [1, 1], "step": 26, "ordinal_position": 27}, {"identifier": "D19", "position": [1, 2], "step": 27, "ordinal_position": 28}, {"identifier": "K33", "position": [1, 3], "step": 28, "ordinal_position": 29}, {"identifier": "Y95", "position": [1, 4], "step": 29, "ordinal_position": 30}, {"identifier": "L21", "position": [1, 5], "step": 30, "ordinal_position": 31}, {"identifier": "I37", "position": [1, 6], "step": 31, "ordinal_position": 32}, {"identifier": "O87", "position": [1, 7], "step": 32, "ordinal_position": 33}, {"identifier": "U94", "position": [1, 8], "step": 33, "ordinal_position": 34}, {"identifier": "J09", "position": [1, 9], "step": 34, "ordinal_position": 35}, {"identifier": "E66", "position": [2, 9], "step": 35, "ordinal_position": 36}, {"identifier": "B05", "position": [3, 9], "step": 36, "ordinal_position": 37}, {"identifier": "W16", "position": [4, 9], "step": 37, "ordinal_position": 38}, {"identifier": "B33", "position": [5, 9], "step": 38, "ordinal_position": 39}, {"identifier": "B15", "position": [6, 9], "step": 39, "ordinal_position": 40}, {"identifier": "B50", "position": [7, 9], "step": 40, "ordinal_position": 41}, {"identifier": "Y87", "position": [8, 9], "step": 41, "ordinal_position": 42}, {"identifier": "E20", "position": [9, 9], "step": 42, "ordinal_position": 43}, {"identifier": "L32", "position": [9, 8], "step": 43, "ordinal_position": 44}, {"identifier": "P90", "position": [9, 7], "step": 44, "ordinal_position": 45}, {"identifier": "B24", "position": [8, 7], "step": 45, "ordinal_position": 46}, {"identifier": "M69", "position": [7, 7], "step": 46, "ordinal_position": 47}, {"identifier": "P60", "position": [7, 6], "step": 47, "ordinal_position": 48}, {"identifier": "Y88", "position": [7, 5], "step": 48, "ordinal_position": 49}, {"identifier": "P79", "position": [8, 5], "step": 49, "ordinal_position": 50}, {"identifier": "V25", "position": [9, 5], "step": 50, "ordinal_position": 51}, {"identifier": "N73", "position": [9, 4], "step": 51, "ordinal_position": 52}, {"identifier": "X47", "position": [9, 3], "step": 52, "ordinal_position": 53}, {"identifier": "R15", "position": [9, 2], "step": 53, "ordinal_position": 54}, {"identifier": "Q40", "position": [9, 1], "step": 54, "ordinal_position": 55}, {"identifier": "O59", "position": [8, 1], "step": 55, "ordinal_position": 56}, {"identifier": "H34", "position": [7, 1], "step": 56, "ordinal_position": 57}, {"identifier": "T52", "position": [6, 1], "step": 57, "ordinal_position": 58}, {"identifier": "T23", "position": [5, 1], "step": 58, "ordinal_position": 59}, {"identifier": "D42", "position": [4, 1], "step": 59, "ordinal_position": 60}, {"identifier": "P20", "position": [3, 1], "step": 60, "ordinal_position": 61}, {"identifier": "U48", "position": [2, 1], "step": 61, "ordinal_position": 62}, {"identifier": "J03", "position": [1, 1], "step": 62, "ordinal_position": 63}, {"identifier": "D19", "position": [1, 2], "step": 63, "ordinal_position": 64}, {"identifier": "K33", "position": [1, 3], "step": 64, "ordinal_position": 65}, {"identifier": "Y95", "position": [1, 4], "step": 65, "ordinal_position": 66}, {"identifier": "L21", "position": [1, 5], "step": 66, "ordinal_position": 67}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 67, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_012.json"}} {"qa_id": "5cc428aa237440d0a698cc80109b0bbf", "image_id": "L3-MazeLoop-test_11x11_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J62, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 166th position in this traversal?", "start_object_id": "J62", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [166], "ordinal_strings": ["166th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "K33", "traversal_path": [{"identifier": "J62", "position": [5, 8], "step": 0, "ordinal_position": 1}, {"identifier": "R49", "position": [5, 7], "step": 1, "ordinal_position": 2}, {"identifier": "O09", "position": [5, 6], "step": 2, "ordinal_position": 3}, {"identifier": "H85", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "H29", "position": [4, 5], "step": 4, "ordinal_position": 5}, {"identifier": "W52", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "U77", "position": [3, 4], "step": 6, "ordinal_position": 7}, {"identifier": "P75", "position": [3, 3], "step": 7, "ordinal_position": 8}, {"identifier": "B78", "position": [4, 3], "step": 8, "ordinal_position": 9}, {"identifier": "D38", "position": [5, 3], "step": 9, "ordinal_position": 10}, {"identifier": "O88", "position": [6, 3], "step": 10, "ordinal_position": 11}, {"identifier": "U41", "position": [7, 3], "step": 11, "ordinal_position": 12}, {"identifier": "R61", "position": [7, 2], "step": 12, "ordinal_position": 13}, {"identifier": "H34", "position": [7, 1], "step": 13, "ordinal_position": 14}, {"identifier": "T52", "position": [6, 1], "step": 14, "ordinal_position": 15}, {"identifier": "T23", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "D42", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "P20", "position": [3, 1], "step": 17, "ordinal_position": 18}, {"identifier": "U48", "position": [2, 1], "step": 18, "ordinal_position": 19}, {"identifier": "J03", "position": [1, 1], "step": 19, "ordinal_position": 20}, {"identifier": "D19", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "K33", "position": [1, 3], "step": 21, "ordinal_position": 22}, {"identifier": "Y95", "position": [1, 4], "step": 22, "ordinal_position": 23}, {"identifier": "L21", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "I37", "position": [1, 6], "step": 24, "ordinal_position": 25}, {"identifier": "O87", "position": [1, 7], "step": 25, "ordinal_position": 26}, {"identifier": "U94", "position": [1, 8], "step": 26, "ordinal_position": 27}, {"identifier": "J09", "position": [1, 9], "step": 27, "ordinal_position": 28}, {"identifier": "E66", "position": [2, 9], "step": 28, "ordinal_position": 29}, {"identifier": "B05", "position": [3, 9], "step": 29, "ordinal_position": 30}, {"identifier": "W16", "position": [4, 9], "step": 30, "ordinal_position": 31}, {"identifier": "B33", "position": [5, 9], "step": 31, "ordinal_position": 32}, {"identifier": "B15", "position": [6, 9], "step": 32, "ordinal_position": 33}, {"identifier": "B50", "position": [7, 9], "step": 33, "ordinal_position": 34}, {"identifier": "Y87", "position": [8, 9], "step": 34, "ordinal_position": 35}, {"identifier": "E20", "position": [9, 9], "step": 35, "ordinal_position": 36}, {"identifier": "L32", "position": [9, 8], "step": 36, "ordinal_position": 37}, {"identifier": "P90", "position": [9, 7], "step": 37, "ordinal_position": 38}, {"identifier": "B24", "position": [8, 7], "step": 38, "ordinal_position": 39}, {"identifier": "M69", "position": [7, 7], "step": 39, "ordinal_position": 40}, {"identifier": "P60", "position": [7, 6], "step": 40, "ordinal_position": 41}, {"identifier": "Y88", "position": [7, 5], "step": 41, "ordinal_position": 42}, {"identifier": "P79", "position": [8, 5], "step": 42, "ordinal_position": 43}, {"identifier": "V25", "position": [9, 5], "step": 43, "ordinal_position": 44}, {"identifier": "N73", "position": [9, 4], "step": 44, "ordinal_position": 45}, {"identifier": "X47", "position": [9, 3], "step": 45, "ordinal_position": 46}, {"identifier": "R15", "position": [9, 2], "step": 46, "ordinal_position": 47}, {"identifier": "Q40", "position": [9, 1], "step": 47, "ordinal_position": 48}, {"identifier": "O59", "position": [8, 1], "step": 48, "ordinal_position": 49}, {"identifier": "H34", "position": [7, 1], "step": 49, "ordinal_position": 50}, {"identifier": "T52", "position": [6, 1], "step": 50, "ordinal_position": 51}, {"identifier": "T23", "position": [5, 1], "step": 51, "ordinal_position": 52}, {"identifier": "D42", "position": [4, 1], "step": 52, "ordinal_position": 53}, {"identifier": "P20", "position": [3, 1], "step": 53, "ordinal_position": 54}, {"identifier": "U48", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "J03", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "D19", "position": [1, 2], "step": 56, "ordinal_position": 57}, {"identifier": "K33", "position": [1, 3], "step": 57, "ordinal_position": 58}, {"identifier": "Y95", "position": [1, 4], "step": 58, "ordinal_position": 59}, {"identifier": "L21", "position": [1, 5], "step": 59, "ordinal_position": 60}, {"identifier": "I37", "position": [1, 6], "step": 60, "ordinal_position": 61}, {"identifier": "O87", "position": [1, 7], "step": 61, "ordinal_position": 62}, {"identifier": "U94", "position": [1, 8], "step": 62, "ordinal_position": 63}, {"identifier": "J09", "position": [1, 9], "step": 63, "ordinal_position": 64}, {"identifier": "E66", "position": [2, 9], "step": 64, "ordinal_position": 65}, {"identifier": "B05", "position": [3, 9], "step": 65, "ordinal_position": 66}, {"identifier": "W16", "position": [4, 9], "step": 66, "ordinal_position": 67}, {"identifier": "B33", "position": [5, 9], "step": 67, "ordinal_position": 68}, {"identifier": "B15", "position": [6, 9], "step": 68, "ordinal_position": 69}, {"identifier": "B50", "position": [7, 9], "step": 69, "ordinal_position": 70}, {"identifier": "Y87", "position": [8, 9], "step": 70, "ordinal_position": 71}, {"identifier": "E20", "position": [9, 9], "step": 71, "ordinal_position": 72}, {"identifier": "L32", "position": [9, 8], "step": 72, "ordinal_position": 73}, {"identifier": "P90", "position": [9, 7], "step": 73, "ordinal_position": 74}, {"identifier": "B24", "position": [8, 7], "step": 74, "ordinal_position": 75}, {"identifier": "M69", "position": [7, 7], "step": 75, "ordinal_position": 76}, {"identifier": "P60", "position": [7, 6], "step": 76, "ordinal_position": 77}, {"identifier": "Y88", "position": [7, 5], "step": 77, "ordinal_position": 78}, {"identifier": "P79", "position": [8, 5], "step": 78, "ordinal_position": 79}, {"identifier": "V25", "position": [9, 5], "step": 79, "ordinal_position": 80}, {"identifier": "N73", "position": [9, 4], "step": 80, "ordinal_position": 81}, {"identifier": "X47", "position": [9, 3], "step": 81, "ordinal_position": 82}, {"identifier": "R15", "position": [9, 2], "step": 82, "ordinal_position": 83}, {"identifier": "Q40", "position": [9, 1], "step": 83, "ordinal_position": 84}, {"identifier": "O59", "position": [8, 1], "step": 84, "ordinal_position": 85}, {"identifier": "H34", "position": [7, 1], "step": 85, "ordinal_position": 86}, {"identifier": "T52", "position": [6, 1], "step": 86, "ordinal_position": 87}, {"identifier": "T23", "position": [5, 1], "step": 87, "ordinal_position": 88}, {"identifier": "D42", "position": [4, 1], "step": 88, "ordinal_position": 89}, {"identifier": "P20", "position": [3, 1], "step": 89, "ordinal_position": 90}, {"identifier": "U48", "position": [2, 1], "step": 90, "ordinal_position": 91}, {"identifier": "J03", "position": [1, 1], "step": 91, "ordinal_position": 92}, {"identifier": "D19", "position": [1, 2], "step": 92, "ordinal_position": 93}, {"identifier": "K33", "position": [1, 3], "step": 93, "ordinal_position": 94}, {"identifier": "Y95", "position": [1, 4], "step": 94, "ordinal_position": 95}, {"identifier": "L21", "position": [1, 5], "step": 95, "ordinal_position": 96}, {"identifier": "I37", "position": [1, 6], "step": 96, "ordinal_position": 97}, {"identifier": "O87", "position": [1, 7], "step": 97, "ordinal_position": 98}, {"identifier": "U94", "position": [1, 8], "step": 98, "ordinal_position": 99}, {"identifier": "J09", "position": [1, 9], "step": 99, "ordinal_position": 100}, {"identifier": "E66", "position": [2, 9], "step": 100, "ordinal_position": 101}, {"identifier": "B05", "position": [3, 9], "step": 101, "ordinal_position": 102}, {"identifier": "W16", "position": [4, 9], "step": 102, "ordinal_position": 103}, {"identifier": "B33", "position": [5, 9], "step": 103, "ordinal_position": 104}, {"identifier": "B15", "position": [6, 9], "step": 104, "ordinal_position": 105}, {"identifier": "B50", "position": [7, 9], "step": 105, "ordinal_position": 106}, {"identifier": "Y87", "position": [8, 9], "step": 106, "ordinal_position": 107}, {"identifier": "E20", "position": [9, 9], "step": 107, "ordinal_position": 108}, {"identifier": "L32", "position": [9, 8], "step": 108, "ordinal_position": 109}, {"identifier": "P90", "position": [9, 7], "step": 109, "ordinal_position": 110}, {"identifier": "B24", "position": [8, 7], "step": 110, "ordinal_position": 111}, {"identifier": "M69", "position": [7, 7], "step": 111, "ordinal_position": 112}, {"identifier": "P60", "position": [7, 6], "step": 112, "ordinal_position": 113}, {"identifier": "Y88", "position": [7, 5], "step": 113, "ordinal_position": 114}, {"identifier": "P79", "position": [8, 5], "step": 114, "ordinal_position": 115}, {"identifier": "V25", "position": [9, 5], "step": 115, "ordinal_position": 116}, {"identifier": "N73", "position": [9, 4], "step": 116, "ordinal_position": 117}, {"identifier": "X47", "position": [9, 3], "step": 117, "ordinal_position": 118}, {"identifier": "R15", "position": [9, 2], "step": 118, "ordinal_position": 119}, {"identifier": "Q40", "position": [9, 1], "step": 119, "ordinal_position": 120}, {"identifier": "O59", "position": [8, 1], "step": 120, "ordinal_position": 121}, {"identifier": "H34", "position": [7, 1], "step": 121, "ordinal_position": 122}, {"identifier": "T52", "position": [6, 1], "step": 122, "ordinal_position": 123}, {"identifier": "T23", "position": [5, 1], "step": 123, "ordinal_position": 124}, {"identifier": "D42", "position": [4, 1], "step": 124, "ordinal_position": 125}, {"identifier": "P20", "position": [3, 1], "step": 125, "ordinal_position": 126}, {"identifier": "U48", "position": [2, 1], "step": 126, "ordinal_position": 127}, {"identifier": "J03", "position": [1, 1], "step": 127, "ordinal_position": 128}, {"identifier": "D19", "position": [1, 2], "step": 128, "ordinal_position": 129}, {"identifier": "K33", "position": [1, 3], "step": 129, "ordinal_position": 130}, {"identifier": "Y95", "position": [1, 4], "step": 130, "ordinal_position": 131}, {"identifier": "L21", "position": [1, 5], "step": 131, "ordinal_position": 132}, {"identifier": "I37", "position": [1, 6], "step": 132, "ordinal_position": 133}, {"identifier": "O87", "position": [1, 7], "step": 133, "ordinal_position": 134}, {"identifier": "U94", "position": [1, 8], "step": 134, "ordinal_position": 135}, {"identifier": "J09", "position": [1, 9], "step": 135, "ordinal_position": 136}, {"identifier": "E66", "position": [2, 9], "step": 136, "ordinal_position": 137}, {"identifier": "B05", "position": [3, 9], "step": 137, "ordinal_position": 138}, {"identifier": "W16", "position": [4, 9], "step": 138, "ordinal_position": 139}, {"identifier": "B33", "position": [5, 9], "step": 139, "ordinal_position": 140}, {"identifier": "B15", "position": [6, 9], "step": 140, "ordinal_position": 141}, {"identifier": "B50", "position": [7, 9], "step": 141, "ordinal_position": 142}, {"identifier": "Y87", "position": [8, 9], "step": 142, "ordinal_position": 143}, {"identifier": "E20", "position": [9, 9], "step": 143, "ordinal_position": 144}, {"identifier": "L32", "position": [9, 8], "step": 144, "ordinal_position": 145}, {"identifier": "P90", "position": [9, 7], "step": 145, "ordinal_position": 146}, {"identifier": "B24", "position": [8, 7], "step": 146, "ordinal_position": 147}, {"identifier": "M69", "position": [7, 7], "step": 147, "ordinal_position": 148}, {"identifier": "P60", "position": [7, 6], "step": 148, "ordinal_position": 149}, {"identifier": "Y88", "position": [7, 5], "step": 149, "ordinal_position": 150}, {"identifier": "P79", "position": [8, 5], "step": 150, "ordinal_position": 151}, {"identifier": "V25", "position": [9, 5], "step": 151, "ordinal_position": 152}, {"identifier": "N73", "position": [9, 4], "step": 152, "ordinal_position": 153}, {"identifier": "X47", "position": [9, 3], "step": 153, "ordinal_position": 154}, {"identifier": "R15", "position": [9, 2], "step": 154, "ordinal_position": 155}, {"identifier": "Q40", "position": [9, 1], "step": 155, "ordinal_position": 156}, {"identifier": "O59", "position": [8, 1], "step": 156, "ordinal_position": 157}, {"identifier": "H34", "position": [7, 1], "step": 157, "ordinal_position": 158}, {"identifier": "T52", "position": [6, 1], "step": 158, "ordinal_position": 159}, {"identifier": "T23", "position": [5, 1], "step": 159, "ordinal_position": 160}, {"identifier": "D42", "position": [4, 1], "step": 160, "ordinal_position": 161}, {"identifier": "P20", "position": [3, 1], "step": 161, "ordinal_position": 162}, {"identifier": "U48", "position": [2, 1], "step": 162, "ordinal_position": 163}, {"identifier": "J03", "position": [1, 1], "step": 163, "ordinal_position": 164}, {"identifier": "D19", "position": [1, 2], "step": 164, "ordinal_position": 165}, {"identifier": "K33", "position": [1, 3], "step": 165, "ordinal_position": 166}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 166, "direction": "up", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_012.json"}} {"qa_id": "ea8326c47ddd4f5e8e18eadfa910550c", "image_id": "L3-MazeLoop-test_11x11_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q40, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 179th position in this traversal?", "start_object_id": "Q40", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [179], "ordinal_strings": ["179th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "X47", "traversal_path": [{"identifier": "Q40", "position": [9, 1], "step": 0, "ordinal_position": 1}, {"identifier": "O59", "position": [8, 1], "step": 1, "ordinal_position": 2}, {"identifier": "H34", "position": [7, 1], "step": 2, "ordinal_position": 3}, {"identifier": "T52", "position": [6, 1], "step": 3, "ordinal_position": 4}, {"identifier": "T23", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "D42", "position": [4, 1], "step": 5, "ordinal_position": 6}, {"identifier": "P20", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "U48", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "J03", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "D19", "position": [1, 2], "step": 9, "ordinal_position": 10}, {"identifier": "K33", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "Y95", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "L21", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "I37", "position": [1, 6], "step": 13, "ordinal_position": 14}, {"identifier": "O87", "position": [1, 7], "step": 14, "ordinal_position": 15}, {"identifier": "U94", "position": [1, 8], "step": 15, "ordinal_position": 16}, {"identifier": "J09", "position": [1, 9], "step": 16, "ordinal_position": 17}, {"identifier": "E66", "position": [2, 9], "step": 17, "ordinal_position": 18}, {"identifier": "B05", "position": [3, 9], "step": 18, "ordinal_position": 19}, {"identifier": "W16", "position": [4, 9], "step": 19, "ordinal_position": 20}, {"identifier": "B33", "position": [5, 9], "step": 20, "ordinal_position": 21}, {"identifier": "B15", "position": [6, 9], "step": 21, "ordinal_position": 22}, {"identifier": "B50", "position": [7, 9], "step": 22, "ordinal_position": 23}, {"identifier": "Y87", "position": [8, 9], "step": 23, "ordinal_position": 24}, {"identifier": "E20", "position": [9, 9], "step": 24, "ordinal_position": 25}, {"identifier": "L32", "position": [9, 8], "step": 25, "ordinal_position": 26}, {"identifier": "P90", "position": [9, 7], "step": 26, "ordinal_position": 27}, {"identifier": "B24", "position": [8, 7], "step": 27, "ordinal_position": 28}, {"identifier": "M69", "position": [7, 7], "step": 28, "ordinal_position": 29}, {"identifier": "P60", "position": [7, 6], "step": 29, "ordinal_position": 30}, {"identifier": "Y88", "position": [7, 5], "step": 30, "ordinal_position": 31}, {"identifier": "P79", "position": [8, 5], "step": 31, "ordinal_position": 32}, {"identifier": "V25", "position": [9, 5], "step": 32, "ordinal_position": 33}, {"identifier": "N73", "position": [9, 4], 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84}, {"identifier": "L21", "position": [1, 5], "step": 84, "ordinal_position": 85}, {"identifier": "I37", "position": [1, 6], "step": 85, "ordinal_position": 86}, {"identifier": "O87", "position": [1, 7], "step": 86, "ordinal_position": 87}, {"identifier": "U94", "position": [1, 8], "step": 87, "ordinal_position": 88}, {"identifier": "J09", "position": [1, 9], "step": 88, "ordinal_position": 89}, {"identifier": "E66", "position": [2, 9], "step": 89, "ordinal_position": 90}, {"identifier": "B05", "position": [3, 9], "step": 90, "ordinal_position": 91}, {"identifier": "W16", "position": [4, 9], "step": 91, "ordinal_position": 92}, {"identifier": "B33", "position": [5, 9], "step": 92, "ordinal_position": 93}, {"identifier": "B15", "position": [6, 9], "step": 93, "ordinal_position": 94}, {"identifier": "B50", "position": [7, 9], "step": 94, "ordinal_position": 95}, {"identifier": "Y87", "position": [8, 9], "step": 95, "ordinal_position": 96}, {"identifier": "E20", "position": [9, 9], "step": 96, "ordinal_position": 97}, {"identifier": "L32", "position": [9, 8], "step": 97, "ordinal_position": 98}, {"identifier": "P90", "position": [9, 7], "step": 98, "ordinal_position": 99}, {"identifier": "B24", "position": [8, 7], "step": 99, "ordinal_position": 100}, {"identifier": "M69", "position": [7, 7], "step": 100, "ordinal_position": 101}, {"identifier": "P60", "position": [7, 6], "step": 101, "ordinal_position": 102}, {"identifier": "Y88", "position": [7, 5], "step": 102, "ordinal_position": 103}, {"identifier": "P79", "position": [8, 5], "step": 103, "ordinal_position": 104}, {"identifier": "V25", "position": [9, 5], "step": 104, "ordinal_position": 105}, {"identifier": "N73", "position": [9, 4], "step": 105, "ordinal_position": 106}, {"identifier": "X47", "position": [9, 3], "step": 106, "ordinal_position": 107}, {"identifier": "R15", "position": [9, 2], "step": 107, "ordinal_position": 108}, {"identifier": "Q40", "position": [9, 1], "step": 108, "ordinal_position": 109}, {"identifier": "O59", "position": [8, 1], "step": 109, "ordinal_position": 110}, {"identifier": "H34", "position": [7, 1], "step": 110, "ordinal_position": 111}, {"identifier": "T52", "position": [6, 1], "step": 111, "ordinal_position": 112}, {"identifier": "T23", "position": [5, 1], "step": 112, "ordinal_position": 113}, {"identifier": "D42", "position": [4, 1], "step": 113, "ordinal_position": 114}, {"identifier": "P20", "position": [3, 1], "step": 114, "ordinal_position": 115}, {"identifier": "U48", "position": [2, 1], "step": 115, "ordinal_position": 116}, {"identifier": "J03", "position": [1, 1], "step": 116, "ordinal_position": 117}, {"identifier": "D19", "position": [1, 2], "step": 117, "ordinal_position": 118}, {"identifier": "K33", "position": [1, 3], "step": 118, "ordinal_position": 119}, {"identifier": "Y95", "position": [1, 4], "step": 119, "ordinal_position": 120}, {"identifier": "L21", "position": [1, 5], "step": 120, "ordinal_position": 121}, {"identifier": "I37", "position": [1, 6], "step": 121, "ordinal_position": 122}, {"identifier": "O87", "position": [1, 7], "step": 122, "ordinal_position": 123}, {"identifier": "U94", "position": [1, 8], "step": 123, "ordinal_position": 124}, {"identifier": "J09", "position": [1, 9], "step": 124, "ordinal_position": 125}, {"identifier": "E66", "position": [2, 9], "step": 125, "ordinal_position": 126}, {"identifier": "B05", "position": [3, 9], "step": 126, "ordinal_position": 127}, {"identifier": "W16", "position": [4, 9], "step": 127, "ordinal_position": 128}, {"identifier": "B33", "position": [5, 9], "step": 128, "ordinal_position": 129}, {"identifier": "B15", "position": [6, 9], "step": 129, "ordinal_position": 130}, {"identifier": "B50", "position": [7, 9], "step": 130, "ordinal_position": 131}, {"identifier": "Y87", "position": [8, 9], "step": 131, "ordinal_position": 132}, {"identifier": "E20", "position": [9, 9], "step": 132, "ordinal_position": 133}, {"identifier": "L32", "position": [9, 8], "step": 133, "ordinal_position": 134}, {"identifier": "P90", "position": [9, 7], "step": 134, "ordinal_position": 135}, {"identifier": "B24", "position": [8, 7], "step": 135, "ordinal_position": 136}, {"identifier": "M69", "position": [7, 7], "step": 136, "ordinal_position": 137}, {"identifier": "P60", "position": [7, 6], "step": 137, "ordinal_position": 138}, {"identifier": "Y88", "position": [7, 5], "step": 138, "ordinal_position": 139}, {"identifier": "P79", "position": [8, 5], "step": 139, "ordinal_position": 140}, {"identifier": "V25", "position": [9, 5], "step": 140, "ordinal_position": 141}, {"identifier": "N73", "position": [9, 4], "step": 141, "ordinal_position": 142}, {"identifier": "X47", "position": [9, 3], "step": 142, "ordinal_position": 143}, {"identifier": "R15", "position": [9, 2], "step": 143, "ordinal_position": 144}, {"identifier": "Q40", "position": [9, 1], "step": 144, "ordinal_position": 145}, {"identifier": "O59", "position": [8, 1], "step": 145, "ordinal_position": 146}, {"identifier": "H34", "position": [7, 1], "step": 146, "ordinal_position": 147}, {"identifier": "T52", "position": [6, 1], "step": 147, "ordinal_position": 148}, {"identifier": "T23", "position": [5, 1], "step": 148, "ordinal_position": 149}, {"identifier": "D42", "position": [4, 1], "step": 149, "ordinal_position": 150}, {"identifier": "P20", "position": [3, 1], "step": 150, "ordinal_position": 151}, {"identifier": "U48", "position": [2, 1], "step": 151, "ordinal_position": 152}, {"identifier": "J03", "position": [1, 1], "step": 152, "ordinal_position": 153}, {"identifier": "D19", "position": [1, 2], "step": 153, "ordinal_position": 154}, {"identifier": "K33", "position": [1, 3], "step": 154, "ordinal_position": 155}, {"identifier": "Y95", "position": [1, 4], "step": 155, "ordinal_position": 156}, {"identifier": "L21", "position": [1, 5], "step": 156, "ordinal_position": 157}, {"identifier": "I37", "position": [1, 6], "step": 157, "ordinal_position": 158}, {"identifier": "O87", "position": [1, 7], "step": 158, "ordinal_position": 159}, {"identifier": "U94", "position": [1, 8], "step": 159, "ordinal_position": 160}, {"identifier": "J09", "position": [1, 9], "step": 160, "ordinal_position": 161}, {"identifier": "E66", "position": [2, 9], "step": 161, "ordinal_position": 162}, {"identifier": "B05", "position": [3, 9], "step": 162, "ordinal_position": 163}, {"identifier": "W16", "position": [4, 9], "step": 163, "ordinal_position": 164}, {"identifier": "B33", "position": [5, 9], "step": 164, "ordinal_position": 165}, {"identifier": "B15", "position": [6, 9], "step": 165, "ordinal_position": 166}, {"identifier": "B50", "position": [7, 9], "step": 166, "ordinal_position": 167}, {"identifier": "Y87", "position": [8, 9], "step": 167, "ordinal_position": 168}, {"identifier": "E20", "position": [9, 9], "step": 168, "ordinal_position": 169}, {"identifier": "L32", "position": [9, 8], "step": 169, "ordinal_position": 170}, {"identifier": "P90", "position": [9, 7], "step": 170, "ordinal_position": 171}, {"identifier": "B24", "position": [8, 7], "step": 171, "ordinal_position": 172}, {"identifier": "M69", "position": [7, 7], "step": 172, "ordinal_position": 173}, {"identifier": "P60", "position": [7, 6], "step": 173, "ordinal_position": 174}, {"identifier": "Y88", "position": [7, 5], "step": 174, "ordinal_position": 175}, {"identifier": "P79", "position": [8, 5], "step": 175, "ordinal_position": 176}, {"identifier": "V25", "position": [9, 5], "step": 176, "ordinal_position": 177}, {"identifier": "N73", "position": [9, 4], "step": 177, "ordinal_position": 178}, {"identifier": "X47", "position": [9, 3], "step": 178, "ordinal_position": 179}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 179, "direction": "left", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_012.json"}} {"qa_id": "6ee2ba7daf8f4fe0b82be721c79bf057", "image_id": "L3-MazeLoop-test_11x11_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I37, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 277th position in this traversal?", "start_object_id": "I37", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [277], "ordinal_strings": ["277th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "O59", "traversal_path": [{"identifier": "I37", "position": [1, 6], "step": 0, "ordinal_position": 1}, {"identifier": "O87", "position": [1, 7], "step": 1, "ordinal_position": 2}, {"identifier": "U94", "position": [1, 8], "step": 2, "ordinal_position": 3}, {"identifier": "J09", "position": [1, 9], "step": 3, "ordinal_position": 4}, {"identifier": "E66", "position": [2, 9], "step": 4, "ordinal_position": 5}, {"identifier": "B05", "position": [3, 9], "step": 5, "ordinal_position": 6}, {"identifier": "W16", "position": [4, 9], "step": 6, "ordinal_position": 7}, {"identifier": "B33", "position": [5, 9], "step": 7, "ordinal_position": 8}, {"identifier": "B15", "position": [6, 9], "step": 8, "ordinal_position": 9}, {"identifier": "B50", "position": [7, 9], "step": 9, "ordinal_position": 10}, {"identifier": "Y87", "position": [8, 9], "step": 10, "ordinal_position": 11}, {"identifier": "E20", "position": [9, 9], "step": 11, "ordinal_position": 12}, {"identifier": "L32", "position": [9, 8], "step": 12, "ordinal_position": 13}, {"identifier": "P90", "position": [9, 7], "step": 13, "ordinal_position": 14}, {"identifier": "B24", "position": [8, 7], "step": 14, "ordinal_position": 15}, {"identifier": "M69", "position": [7, 7], "step": 15, "ordinal_position": 16}, {"identifier": "P60", "position": [7, 6], "step": 16, "ordinal_position": 17}, {"identifier": "Y88", "position": [7, 5], "step": 17, "ordinal_position": 18}, {"identifier": "P79", "position": [8, 5], "step": 18, "ordinal_position": 19}, {"identifier": "V25", "position": [9, 5], "step": 19, "ordinal_position": 20}, {"identifier": "N73", "position": [9, 4], "step": 20, "ordinal_position": 21}, {"identifier": "X47", "position": [9, 3], "step": 21, "ordinal_position": 22}, {"identifier": "R15", "position": [9, 2], "step": 22, "ordinal_position": 23}, {"identifier": "Q40", "position": [9, 1], "step": 23, "ordinal_position": 24}, {"identifier": "O59", "position": [8, 1], "step": 24, "ordinal_position": 25}, {"identifier": "H34", "position": [7, 1], "step": 25, "ordinal_position": 26}, {"identifier": "T52", "position": [6, 1], "step": 26, "ordinal_position": 27}, {"identifier": "T23", "position": [5, 1], "step": 27, "ordinal_position": 28}, {"identifier": "D42", "position": [4, 1], "step": 28, "ordinal_position": 29}, {"identifier": "P20", "position": [3, 1], "step": 29, "ordinal_position": 30}, {"identifier": "U48", "position": [2, 1], "step": 30, "ordinal_position": 31}, {"identifier": "J03", "position": [1, 1], "step": 31, "ordinal_position": 32}, {"identifier": "D19", "position": [1, 2], "step": 32, "ordinal_position": 33}, {"identifier": "K33", "position": [1, 3], "step": 33, "ordinal_position": 34}, {"identifier": "Y95", "position": [1, 4], "step": 34, "ordinal_position": 35}, {"identifier": "L21", "position": [1, 5], "step": 35, "ordinal_position": 36}, {"identifier": "I37", "position": [1, 6], "step": 36, "ordinal_position": 37}, {"identifier": "O87", "position": [1, 7], "step": 37, "ordinal_position": 38}, {"identifier": "U94", "position": [1, 8], "step": 38, "ordinal_position": 39}, {"identifier": "J09", "position": [1, 9], "step": 39, "ordinal_position": 40}, {"identifier": "E66", "position": [2, 9], "step": 40, "ordinal_position": 41}, {"identifier": "B05", "position": [3, 9], "step": 41, "ordinal_position": 42}, {"identifier": "W16", "position": [4, 9], "step": 42, "ordinal_position": 43}, {"identifier": "B33", "position": [5, 9], "step": 43, "ordinal_position": 44}, {"identifier": "B15", "position": [6, 9], "step": 44, "ordinal_position": 45}, {"identifier": "B50", "position": [7, 9], "step": 45, "ordinal_position": 46}, {"identifier": "Y87", "position": [8, 9], "step": 46, "ordinal_position": 47}, {"identifier": "E20", "position": [9, 9], "step": 47, "ordinal_position": 48}, {"identifier": "L32", "position": [9, 8], "step": 48, "ordinal_position": 49}, {"identifier": "P90", "position": [9, 7], "step": 49, "ordinal_position": 50}, {"identifier": "B24", "position": [8, 7], "step": 50, "ordinal_position": 51}, {"identifier": "M69", "position": [7, 7], "step": 51, "ordinal_position": 52}, {"identifier": "P60", "position": [7, 6], "step": 52, "ordinal_position": 53}, {"identifier": "Y88", "position": [7, 5], "step": 53, "ordinal_position": 54}, {"identifier": "P79", "position": [8, 5], "step": 54, "ordinal_position": 55}, {"identifier": "V25", "position": [9, 5], "step": 55, "ordinal_position": 56}, {"identifier": "N73", "position": [9, 4], "step": 56, "ordinal_position": 57}, {"identifier": "X47", "position": [9, 3], "step": 57, "ordinal_position": 58}, {"identifier": "R15", "position": [9, 2], "step": 58, "ordinal_position": 59}, {"identifier": "Q40", "position": [9, 1], "step": 59, "ordinal_position": 60}, {"identifier": "O59", "position": [8, 1], "step": 60, "ordinal_position": 61}, {"identifier": "H34", "position": [7, 1], "step": 61, "ordinal_position": 62}, {"identifier": "T52", "position": [6, 1], "step": 62, "ordinal_position": 63}, {"identifier": "T23", "position": [5, 1], "step": 63, "ordinal_position": 64}, {"identifier": "D42", "position": [4, 1], "step": 64, "ordinal_position": 65}, {"identifier": "P20", "position": [3, 1], "step": 65, "ordinal_position": 66}, {"identifier": "U48", "position": [2, 1], "step": 66, "ordinal_position": 67}, {"identifier": "J03", "position": [1, 1], "step": 67, "ordinal_position": 68}, {"identifier": "D19", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "K33", "position": [1, 3], "step": 69, "ordinal_position": 70}, {"identifier": "Y95", "position": [1, 4], "step": 70, "ordinal_position": 71}, {"identifier": "L21", "position": [1, 5], "step": 71, "ordinal_position": 72}, {"identifier": "I37", "position": [1, 6], "step": 72, "ordinal_position": 73}, {"identifier": "O87", "position": [1, 7], "step": 73, "ordinal_position": 74}, {"identifier": "U94", "position": [1, 8], "step": 74, "ordinal_position": 75}, {"identifier": "J09", "position": [1, 9], "step": 75, "ordinal_position": 76}, {"identifier": "E66", "position": [2, 9], "step": 76, "ordinal_position": 77}, {"identifier": "B05", "position": [3, 9], "step": 77, "ordinal_position": 78}, {"identifier": "W16", "position": [4, 9], "step": 78, "ordinal_position": 79}, {"identifier": "B33", "position": [5, 9], "step": 79, "ordinal_position": 80}, {"identifier": "B15", "position": [6, 9], "step": 80, "ordinal_position": 81}, {"identifier": "B50", "position": [7, 9], "step": 81, "ordinal_position": 82}, {"identifier": "Y87", "position": [8, 9], "step": 82, "ordinal_position": 83}, {"identifier": "E20", "position": [9, 9], "step": 83, "ordinal_position": 84}, {"identifier": "L32", "position": [9, 8], "step": 84, "ordinal_position": 85}, {"identifier": "P90", "position": [9, 7], "step": 85, "ordinal_position": 86}, {"identifier": "B24", "position": [8, 7], "step": 86, "ordinal_position": 87}, {"identifier": "M69", "position": [7, 7], "step": 87, "ordinal_position": 88}, {"identifier": "P60", "position": [7, 6], "step": 88, "ordinal_position": 89}, {"identifier": "Y88", "position": [7, 5], "step": 89, "ordinal_position": 90}, {"identifier": "P79", "position": [8, 5], "step": 90, "ordinal_position": 91}, {"identifier": "V25", "position": [9, 5], "step": 91, "ordinal_position": 92}, {"identifier": "N73", "position": [9, 4], "step": 92, "ordinal_position": 93}, {"identifier": "X47", "position": [9, 3], "step": 93, "ordinal_position": 94}, {"identifier": "R15", "position": [9, 2], "step": 94, "ordinal_position": 95}, {"identifier": "Q40", "position": [9, 1], "step": 95, "ordinal_position": 96}, {"identifier": "O59", "position": [8, 1], "step": 96, "ordinal_position": 97}, {"identifier": "H34", "position": [7, 1], "step": 97, "ordinal_position": 98}, {"identifier": "T52", "position": [6, 1], "step": 98, "ordinal_position": 99}, {"identifier": "T23", "position": [5, 1], "step": 99, "ordinal_position": 100}, {"identifier": "D42", "position": [4, 1], "step": 100, "ordinal_position": 101}, {"identifier": "P20", "position": [3, 1], "step": 101, "ordinal_position": 102}, {"identifier": "U48", "position": [2, 1], "step": 102, "ordinal_position": 103}, {"identifier": "J03", "position": [1, 1], "step": 103, "ordinal_position": 104}, {"identifier": "D19", "position": [1, 2], "step": 104, "ordinal_position": 105}, {"identifier": "K33", "position": [1, 3], "step": 105, "ordinal_position": 106}, {"identifier": "Y95", "position": [1, 4], "step": 106, "ordinal_position": 107}, {"identifier": "L21", "position": [1, 5], "step": 107, "ordinal_position": 108}, {"identifier": "I37", "position": [1, 6], "step": 108, "ordinal_position": 109}, {"identifier": "O87", "position": [1, 7], "step": 109, "ordinal_position": 110}, {"identifier": "U94", "position": [1, 8], "step": 110, "ordinal_position": 111}, {"identifier": "J09", "position": [1, 9], "step": 111, "ordinal_position": 112}, {"identifier": "E66", "position": [2, 9], "step": 112, "ordinal_position": 113}, {"identifier": "B05", "position": [3, 9], "step": 113, "ordinal_position": 114}, {"identifier": "W16", "position": [4, 9], "step": 114, "ordinal_position": 115}, {"identifier": "B33", "position": [5, 9], "step": 115, "ordinal_position": 116}, {"identifier": "B15", "position": [6, 9], "step": 116, "ordinal_position": 117}, {"identifier": "B50", "position": [7, 9], "step": 117, "ordinal_position": 118}, {"identifier": "Y87", "position": [8, 9], "step": 118, "ordinal_position": 119}, {"identifier": "E20", "position": [9, 9], "step": 119, "ordinal_position": 120}, {"identifier": "L32", "position": [9, 8], "step": 120, "ordinal_position": 121}, {"identifier": "P90", "position": [9, 7], "step": 121, "ordinal_position": 122}, {"identifier": "B24", "position": [8, 7], "step": 122, "ordinal_position": 123}, {"identifier": "M69", "position": [7, 7], "step": 123, "ordinal_position": 124}, {"identifier": "P60", "position": [7, 6], "step": 124, "ordinal_position": 125}, {"identifier": "Y88", "position": [7, 5], "step": 125, "ordinal_position": 126}, {"identifier": "P79", "position": [8, 5], "step": 126, "ordinal_position": 127}, {"identifier": "V25", "position": [9, 5], "step": 127, "ordinal_position": 128}, {"identifier": "N73", "position": [9, 4], "step": 128, "ordinal_position": 129}, {"identifier": "X47", "position": [9, 3], "step": 129, "ordinal_position": 130}, {"identifier": "R15", "position": [9, 2], "step": 130, "ordinal_position": 131}, {"identifier": "Q40", "position": [9, 1], "step": 131, "ordinal_position": 132}, {"identifier": "O59", "position": [8, 1], "step": 132, "ordinal_position": 133}, {"identifier": "H34", "position": [7, 1], "step": 133, "ordinal_position": 134}, {"identifier": "T52", "position": [6, 1], "step": 134, "ordinal_position": 135}, {"identifier": "T23", "position": [5, 1], "step": 135, "ordinal_position": 136}, {"identifier": "D42", "position": [4, 1], "step": 136, "ordinal_position": 137}, {"identifier": "P20", "position": [3, 1], "step": 137, "ordinal_position": 138}, {"identifier": "U48", "position": [2, 1], "step": 138, "ordinal_position": 139}, {"identifier": "J03", "position": [1, 1], "step": 139, "ordinal_position": 140}, {"identifier": "D19", "position": [1, 2], "step": 140, "ordinal_position": 141}, {"identifier": "K33", "position": [1, 3], "step": 141, "ordinal_position": 142}, {"identifier": "Y95", "position": [1, 4], "step": 142, "ordinal_position": 143}, {"identifier": "L21", "position": [1, 5], "step": 143, "ordinal_position": 144}, {"identifier": "I37", "position": [1, 6], "step": 144, "ordinal_position": 145}, {"identifier": "O87", "position": [1, 7], "step": 145, "ordinal_position": 146}, {"identifier": "U94", "position": [1, 8], "step": 146, "ordinal_position": 147}, {"identifier": "J09", "position": [1, 9], "step": 147, "ordinal_position": 148}, {"identifier": "E66", "position": [2, 9], "step": 148, "ordinal_position": 149}, {"identifier": "B05", "position": [3, 9], "step": 149, "ordinal_position": 150}, {"identifier": "W16", "position": [4, 9], "step": 150, "ordinal_position": 151}, {"identifier": "B33", "position": [5, 9], "step": 151, "ordinal_position": 152}, {"identifier": "B15", "position": [6, 9], "step": 152, "ordinal_position": 153}, {"identifier": "B50", "position": [7, 9], "step": 153, "ordinal_position": 154}, {"identifier": "Y87", "position": [8, 9], "step": 154, "ordinal_position": 155}, {"identifier": "E20", "position": [9, 9], "step": 155, "ordinal_position": 156}, {"identifier": "L32", "position": [9, 8], "step": 156, "ordinal_position": 157}, {"identifier": "P90", "position": [9, 7], "step": 157, "ordinal_position": 158}, {"identifier": "B24", "position": [8, 7], "step": 158, "ordinal_position": 159}, {"identifier": "M69", "position": [7, 7], "step": 159, "ordinal_position": 160}, {"identifier": "P60", "position": [7, 6], "step": 160, "ordinal_position": 161}, {"identifier": "Y88", "position": [7, 5], "step": 161, "ordinal_position": 162}, {"identifier": "P79", "position": [8, 5], "step": 162, "ordinal_position": 163}, {"identifier": "V25", "position": [9, 5], "step": 163, "ordinal_position": 164}, {"identifier": "N73", "position": [9, 4], "step": 164, "ordinal_position": 165}, {"identifier": "X47", "position": [9, 3], "step": 165, "ordinal_position": 166}, {"identifier": "R15", "position": [9, 2], "step": 166, "ordinal_position": 167}, {"identifier": "Q40", "position": [9, 1], "step": 167, "ordinal_position": 168}, {"identifier": "O59", "position": [8, 1], "step": 168, "ordinal_position": 169}, {"identifier": "H34", "position": [7, 1], "step": 169, "ordinal_position": 170}, {"identifier": "T52", "position": [6, 1], "step": 170, "ordinal_position": 171}, {"identifier": "T23", "position": [5, 1], "step": 171, "ordinal_position": 172}, {"identifier": "D42", "position": [4, 1], "step": 172, "ordinal_position": 173}, {"identifier": "P20", "position": [3, 1], "step": 173, "ordinal_position": 174}, {"identifier": "U48", "position": [2, 1], "step": 174, "ordinal_position": 175}, {"identifier": "J03", "position": [1, 1], "step": 175, "ordinal_position": 176}, {"identifier": "D19", "position": [1, 2], "step": 176, "ordinal_position": 177}, {"identifier": "K33", "position": [1, 3], "step": 177, "ordinal_position": 178}, {"identifier": "Y95", "position": [1, 4], "step": 178, "ordinal_position": 179}, {"identifier": "L21", "position": [1, 5], "step": 179, "ordinal_position": 180}, {"identifier": "I37", "position": [1, 6], "step": 180, "ordinal_position": 181}, {"identifier": "O87", "position": [1, 7], "step": 181, "ordinal_position": 182}, {"identifier": "U94", "position": [1, 8], "step": 182, "ordinal_position": 183}, {"identifier": "J09", "position": [1, 9], "step": 183, "ordinal_position": 184}, {"identifier": "E66", "position": [2, 9], "step": 184, "ordinal_position": 185}, {"identifier": "B05", "position": [3, 9], "step": 185, "ordinal_position": 186}, {"identifier": "W16", "position": [4, 9], "step": 186, "ordinal_position": 187}, {"identifier": "B33", "position": [5, 9], "step": 187, "ordinal_position": 188}, {"identifier": "B15", "position": [6, 9], "step": 188, "ordinal_position": 189}, {"identifier": "B50", "position": [7, 9], "step": 189, "ordinal_position": 190}, {"identifier": "Y87", "position": [8, 9], "step": 190, "ordinal_position": 191}, {"identifier": "E20", "position": [9, 9], "step": 191, "ordinal_position": 192}, {"identifier": "L32", "position": [9, 8], "step": 192, "ordinal_position": 193}, {"identifier": "P90", "position": [9, 7], "step": 193, "ordinal_position": 194}, {"identifier": "B24", "position": [8, 7], "step": 194, "ordinal_position": 195}, {"identifier": "M69", "position": [7, 7], "step": 195, "ordinal_position": 196}, {"identifier": "P60", "position": [7, 6], "step": 196, "ordinal_position": 197}, {"identifier": "Y88", "position": [7, 5], "step": 197, "ordinal_position": 198}, {"identifier": "P79", "position": [8, 5], "step": 198, "ordinal_position": 199}, {"identifier": "V25", "position": [9, 5], "step": 199, "ordinal_position": 200}, {"identifier": "N73", "position": [9, 4], "step": 200, "ordinal_position": 201}, {"identifier": "X47", "position": [9, 3], "step": 201, "ordinal_position": 202}, {"identifier": "R15", "position": [9, 2], "step": 202, "ordinal_position": 203}, {"identifier": "Q40", "position": [9, 1], "step": 203, "ordinal_position": 204}, {"identifier": "O59", "position": [8, 1], "step": 204, "ordinal_position": 205}, {"identifier": "H34", "position": [7, 1], "step": 205, "ordinal_position": 206}, {"identifier": "T52", "position": [6, 1], "step": 206, "ordinal_position": 207}, {"identifier": "T23", "position": [5, 1], "step": 207, "ordinal_position": 208}, {"identifier": "D42", "position": [4, 1], "step": 208, "ordinal_position": 209}, {"identifier": "P20", "position": [3, 1], "step": 209, "ordinal_position": 210}, {"identifier": "U48", "position": [2, 1], "step": 210, "ordinal_position": 211}, {"identifier": "J03", "position": [1, 1], "step": 211, "ordinal_position": 212}, {"identifier": "D19", "position": [1, 2], "step": 212, "ordinal_position": 213}, {"identifier": "K33", "position": [1, 3], "step": 213, "ordinal_position": 214}, {"identifier": "Y95", "position": [1, 4], "step": 214, "ordinal_position": 215}, {"identifier": "L21", "position": [1, 5], "step": 215, "ordinal_position": 216}, {"identifier": "I37", "position": [1, 6], "step": 216, "ordinal_position": 217}, {"identifier": "O87", "position": [1, 7], "step": 217, "ordinal_position": 218}, {"identifier": "U94", "position": [1, 8], "step": 218, "ordinal_position": 219}, {"identifier": "J09", "position": [1, 9], "step": 219, "ordinal_position": 220}, {"identifier": "E66", "position": [2, 9], "step": 220, "ordinal_position": 221}, {"identifier": "B05", "position": [3, 9], "step": 221, "ordinal_position": 222}, {"identifier": "W16", "position": [4, 9], "step": 222, "ordinal_position": 223}, {"identifier": "B33", "position": [5, 9], "step": 223, "ordinal_position": 224}, {"identifier": "B15", "position": [6, 9], "step": 224, "ordinal_position": 225}, {"identifier": "B50", "position": [7, 9], "step": 225, "ordinal_position": 226}, {"identifier": "Y87", "position": [8, 9], "step": 226, "ordinal_position": 227}, {"identifier": "E20", "position": [9, 9], "step": 227, "ordinal_position": 228}, {"identifier": "L32", "position": [9, 8], "step": 228, "ordinal_position": 229}, {"identifier": "P90", "position": [9, 7], "step": 229, "ordinal_position": 230}, {"identifier": "B24", "position": [8, 7], "step": 230, "ordinal_position": 231}, {"identifier": "M69", "position": [7, 7], "step": 231, "ordinal_position": 232}, {"identifier": "P60", "position": [7, 6], "step": 232, "ordinal_position": 233}, {"identifier": "Y88", "position": [7, 5], "step": 233, "ordinal_position": 234}, {"identifier": "P79", "position": [8, 5], "step": 234, "ordinal_position": 235}, {"identifier": "V25", "position": [9, 5], "step": 235, "ordinal_position": 236}, {"identifier": "N73", "position": [9, 4], "step": 236, "ordinal_position": 237}, {"identifier": "X47", "position": [9, 3], "step": 237, "ordinal_position": 238}, {"identifier": "R15", "position": [9, 2], "step": 238, "ordinal_position": 239}, {"identifier": "Q40", "position": [9, 1], "step": 239, "ordinal_position": 240}, {"identifier": "O59", "position": [8, 1], "step": 240, "ordinal_position": 241}, {"identifier": "H34", "position": [7, 1], "step": 241, "ordinal_position": 242}, {"identifier": "T52", "position": [6, 1], "step": 242, "ordinal_position": 243}, {"identifier": "T23", "position": [5, 1], "step": 243, "ordinal_position": 244}, {"identifier": "D42", "position": [4, 1], "step": 244, "ordinal_position": 245}, {"identifier": "P20", "position": [3, 1], "step": 245, "ordinal_position": 246}, {"identifier": "U48", "position": [2, 1], "step": 246, "ordinal_position": 247}, {"identifier": "J03", "position": [1, 1], "step": 247, "ordinal_position": 248}, {"identifier": "D19", "position": [1, 2], "step": 248, "ordinal_position": 249}, {"identifier": "K33", "position": [1, 3], "step": 249, "ordinal_position": 250}, {"identifier": "Y95", "position": [1, 4], "step": 250, "ordinal_position": 251}, {"identifier": "L21", "position": [1, 5], "step": 251, "ordinal_position": 252}, {"identifier": "I37", "position": [1, 6], "step": 252, "ordinal_position": 253}, {"identifier": "O87", "position": [1, 7], "step": 253, "ordinal_position": 254}, {"identifier": "U94", "position": [1, 8], "step": 254, "ordinal_position": 255}, {"identifier": "J09", "position": [1, 9], "step": 255, "ordinal_position": 256}, {"identifier": "E66", "position": [2, 9], "step": 256, "ordinal_position": 257}, {"identifier": "B05", "position": [3, 9], "step": 257, "ordinal_position": 258}, {"identifier": "W16", "position": [4, 9], "step": 258, "ordinal_position": 259}, {"identifier": "B33", "position": [5, 9], "step": 259, "ordinal_position": 260}, {"identifier": "B15", "position": [6, 9], "step": 260, "ordinal_position": 261}, {"identifier": "B50", "position": [7, 9], "step": 261, "ordinal_position": 262}, {"identifier": "Y87", "position": [8, 9], "step": 262, "ordinal_position": 263}, {"identifier": "E20", "position": [9, 9], "step": 263, "ordinal_position": 264}, {"identifier": "L32", "position": [9, 8], "step": 264, "ordinal_position": 265}, {"identifier": "P90", "position": [9, 7], "step": 265, "ordinal_position": 266}, {"identifier": "B24", "position": [8, 7], "step": 266, "ordinal_position": 267}, {"identifier": "M69", "position": [7, 7], "step": 267, "ordinal_position": 268}, {"identifier": "P60", "position": [7, 6], "step": 268, "ordinal_position": 269}, {"identifier": "Y88", "position": [7, 5], "step": 269, "ordinal_position": 270}, {"identifier": "P79", "position": [8, 5], "step": 270, "ordinal_position": 271}, {"identifier": "V25", "position": [9, 5], "step": 271, "ordinal_position": 272}, {"identifier": "N73", "position": [9, 4], "step": 272, "ordinal_position": 273}, {"identifier": "X47", "position": [9, 3], "step": 273, "ordinal_position": 274}, {"identifier": "R15", "position": [9, 2], "step": 274, "ordinal_position": 275}, {"identifier": "Q40", "position": [9, 1], "step": 275, "ordinal_position": 276}, {"identifier": "O59", "position": [8, 1], "step": 276, "ordinal_position": 277}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 277, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_012.json"}} {"qa_id": "405fbc8173ff40bfbd2cd12b307d5d25", "image_id": "L3-MazeLoop-test_11x11_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V25, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 150th position in this traversal?", "start_object_id": "V25", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [150], "ordinal_strings": ["150th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "B24", "traversal_path": [{"identifier": "V25", "position": [9, 5], "step": 0, "ordinal_position": 1}, {"identifier": "P79", "position": [8, 5], "step": 1, "ordinal_position": 2}, {"identifier": "Y88", "position": [7, 5], "step": 2, "ordinal_position": 3}, {"identifier": "P60", "position": [7, 6], "step": 3, "ordinal_position": 4}, {"identifier": "M69", "position": [7, 7], "step": 4, "ordinal_position": 5}, {"identifier": "B24", "position": [8, 7], "step": 5, "ordinal_position": 6}, {"identifier": "P90", "position": [9, 7], "step": 6, "ordinal_position": 7}, {"identifier": "L32", "position": [9, 8], "step": 7, "ordinal_position": 8}, {"identifier": "E20", "position": [9, 9], "step": 8, "ordinal_position": 9}, {"identifier": "Y87", "position": [8, 9], "step": 9, "ordinal_position": 10}, {"identifier": "B50", "position": [7, 9], "step": 10, "ordinal_position": 11}, {"identifier": "B15", "position": [6, 9], "step": 11, "ordinal_position": 12}, {"identifier": "B33", "position": [5, 9], "step": 12, "ordinal_position": 13}, {"identifier": "W16", "position": [4, 9], "step": 13, "ordinal_position": 14}, {"identifier": "B05", "position": [3, 9], "step": 14, "ordinal_position": 15}, {"identifier": "E66", "position": [2, 9], "step": 15, "ordinal_position": 16}, {"identifier": "J09", "position": [1, 9], "step": 16, "ordinal_position": 17}, {"identifier": "U94", "position": [1, 8], "step": 17, "ordinal_position": 18}, {"identifier": "O87", "position": [1, 7], "step": 18, "ordinal_position": 19}, {"identifier": "I37", "position": [1, 6], "step": 19, "ordinal_position": 20}, {"identifier": "L21", "position": [1, 5], "step": 20, "ordinal_position": 21}, {"identifier": "Y95", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "K33", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "D19", "position": [1, 2], "step": 23, "ordinal_position": 24}, {"identifier": "J03", "position": [1, 1], "step": 24, "ordinal_position": 25}, {"identifier": "U48", "position": [2, 1], "step": 25, "ordinal_position": 26}, {"identifier": "P20", "position": [3, 1], "step": 26, "ordinal_position": 27}, {"identifier": "D42", "position": [4, 1], "step": 27, "ordinal_position": 28}, {"identifier": "T23", "position": [5, 1], "step": 28, "ordinal_position": 29}, {"identifier": "T52", "position": [6, 1], "step": 29, "ordinal_position": 30}, {"identifier": "H34", "position": [7, 1], "step": 30, "ordinal_position": 31}, {"identifier": "O59", "position": [8, 1], "step": 31, "ordinal_position": 32}, {"identifier": "Q40", "position": [9, 1], "step": 32, "ordinal_position": 33}, {"identifier": "R15", "position": [9, 2], "step": 33, "ordinal_position": 34}, {"identifier": "X47", "position": [9, 3], "step": 34, "ordinal_position": 35}, {"identifier": "N73", "position": [9, 4], "step": 35, "ordinal_position": 36}, {"identifier": "V25", "position": [9, 5], "step": 36, "ordinal_position": 37}, {"identifier": "P79", "position": [8, 5], "step": 37, "ordinal_position": 38}, {"identifier": "Y88", "position": [7, 5], "step": 38, "ordinal_position": 39}, {"identifier": "P60", "position": [7, 6], "step": 39, "ordinal_position": 40}, {"identifier": "M69", "position": [7, 7], "step": 40, "ordinal_position": 41}, {"identifier": "B24", "position": [8, 7], "step": 41, "ordinal_position": 42}, {"identifier": "P90", "position": [9, 7], "step": 42, "ordinal_position": 43}, {"identifier": "L32", "position": [9, 8], "step": 43, "ordinal_position": 44}, {"identifier": "E20", "position": [9, 9], "step": 44, "ordinal_position": 45}, {"identifier": "Y87", "position": [8, 9], "step": 45, "ordinal_position": 46}, {"identifier": "B50", "position": [7, 9], "step": 46, "ordinal_position": 47}, {"identifier": "B15", "position": [6, 9], "step": 47, "ordinal_position": 48}, {"identifier": "B33", "position": [5, 9], "step": 48, "ordinal_position": 49}, {"identifier": "W16", "position": [4, 9], "step": 49, "ordinal_position": 50}, {"identifier": "B05", "position": [3, 9], "step": 50, "ordinal_position": 51}, {"identifier": "E66", "position": [2, 9], "step": 51, "ordinal_position": 52}, {"identifier": "J09", "position": [1, 9], "step": 52, "ordinal_position": 53}, {"identifier": "U94", "position": [1, 8], "step": 53, "ordinal_position": 54}, {"identifier": "O87", "position": [1, 7], "step": 54, "ordinal_position": 55}, {"identifier": "I37", "position": [1, 6], "step": 55, "ordinal_position": 56}, {"identifier": "L21", "position": [1, 5], "step": 56, "ordinal_position": 57}, {"identifier": "Y95", "position": [1, 4], "step": 57, "ordinal_position": 58}, {"identifier": "K33", "position": [1, 3], "step": 58, "ordinal_position": 59}, {"identifier": "D19", "position": [1, 2], "step": 59, "ordinal_position": 60}, {"identifier": "J03", "position": [1, 1], "step": 60, "ordinal_position": 61}, {"identifier": "U48", "position": [2, 1], "step": 61, "ordinal_position": 62}, {"identifier": "P20", "position": [3, 1], "step": 62, "ordinal_position": 63}, {"identifier": "D42", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "T23", "position": [5, 1], "step": 64, "ordinal_position": 65}, {"identifier": "T52", "position": [6, 1], "step": 65, "ordinal_position": 66}, {"identifier": "H34", "position": [7, 1], "step": 66, "ordinal_position": 67}, {"identifier": "O59", "position": [8, 1], "step": 67, "ordinal_position": 68}, {"identifier": "Q40", "position": [9, 1], "step": 68, "ordinal_position": 69}, {"identifier": "R15", "position": [9, 2], "step": 69, "ordinal_position": 70}, {"identifier": "X47", "position": [9, 3], "step": 70, "ordinal_position": 71}, {"identifier": "N73", "position": [9, 4], "step": 71, "ordinal_position": 72}, {"identifier": "V25", "position": [9, 5], "step": 72, "ordinal_position": 73}, {"identifier": "P79", "position": [8, 5], "step": 73, "ordinal_position": 74}, {"identifier": "Y88", "position": [7, 5], "step": 74, "ordinal_position": 75}, {"identifier": "P60", "position": [7, 6], "step": 75, "ordinal_position": 76}, {"identifier": "M69", "position": [7, 7], "step": 76, "ordinal_position": 77}, {"identifier": "B24", "position": [8, 7], "step": 77, "ordinal_position": 78}, {"identifier": "P90", "position": [9, 7], "step": 78, "ordinal_position": 79}, {"identifier": "L32", "position": [9, 8], "step": 79, "ordinal_position": 80}, {"identifier": "E20", "position": [9, 9], "step": 80, "ordinal_position": 81}, {"identifier": "Y87", "position": [8, 9], "step": 81, "ordinal_position": 82}, {"identifier": "B50", "position": [7, 9], "step": 82, "ordinal_position": 83}, {"identifier": "B15", "position": [6, 9], "step": 83, "ordinal_position": 84}, {"identifier": "B33", "position": [5, 9], "step": 84, "ordinal_position": 85}, {"identifier": "W16", "position": [4, 9], "step": 85, "ordinal_position": 86}, {"identifier": "B05", "position": [3, 9], "step": 86, "ordinal_position": 87}, {"identifier": "E66", "position": [2, 9], "step": 87, "ordinal_position": 88}, {"identifier": "J09", "position": [1, 9], "step": 88, "ordinal_position": 89}, {"identifier": "U94", "position": [1, 8], "step": 89, "ordinal_position": 90}, {"identifier": "O87", "position": [1, 7], "step": 90, "ordinal_position": 91}, {"identifier": "I37", "position": [1, 6], "step": 91, "ordinal_position": 92}, {"identifier": "L21", "position": [1, 5], "step": 92, "ordinal_position": 93}, {"identifier": "Y95", "position": [1, 4], "step": 93, "ordinal_position": 94}, {"identifier": "K33", "position": [1, 3], "step": 94, "ordinal_position": 95}, {"identifier": "D19", "position": [1, 2], "step": 95, "ordinal_position": 96}, {"identifier": "J03", "position": [1, 1], "step": 96, "ordinal_position": 97}, {"identifier": "U48", "position": [2, 1], "step": 97, "ordinal_position": 98}, {"identifier": "P20", "position": [3, 1], "step": 98, "ordinal_position": 99}, {"identifier": "D42", "position": [4, 1], "step": 99, "ordinal_position": 100}, {"identifier": "T23", "position": [5, 1], "step": 100, "ordinal_position": 101}, {"identifier": "T52", "position": [6, 1], "step": 101, "ordinal_position": 102}, {"identifier": "H34", "position": [7, 1], "step": 102, "ordinal_position": 103}, {"identifier": "O59", "position": [8, 1], "step": 103, "ordinal_position": 104}, {"identifier": "Q40", "position": [9, 1], "step": 104, "ordinal_position": 105}, {"identifier": "R15", "position": [9, 2], "step": 105, "ordinal_position": 106}, {"identifier": "X47", "position": [9, 3], "step": 106, "ordinal_position": 107}, {"identifier": "N73", "position": [9, 4], "step": 107, "ordinal_position": 108}, {"identifier": "V25", "position": [9, 5], "step": 108, "ordinal_position": 109}, {"identifier": "P79", "position": [8, 5], "step": 109, "ordinal_position": 110}, {"identifier": "Y88", "position": [7, 5], "step": 110, "ordinal_position": 111}, {"identifier": "P60", "position": [7, 6], "step": 111, "ordinal_position": 112}, {"identifier": "M69", "position": [7, 7], "step": 112, "ordinal_position": 113}, {"identifier": "B24", "position": [8, 7], "step": 113, "ordinal_position": 114}, {"identifier": "P90", "position": [9, 7], "step": 114, "ordinal_position": 115}, {"identifier": "L32", "position": [9, 8], "step": 115, "ordinal_position": 116}, {"identifier": "E20", "position": [9, 9], "step": 116, "ordinal_position": 117}, {"identifier": "Y87", "position": [8, 9], "step": 117, "ordinal_position": 118}, {"identifier": "B50", "position": [7, 9], "step": 118, "ordinal_position": 119}, {"identifier": "B15", "position": [6, 9], "step": 119, "ordinal_position": 120}, {"identifier": "B33", "position": [5, 9], "step": 120, "ordinal_position": 121}, {"identifier": "W16", "position": [4, 9], "step": 121, "ordinal_position": 122}, {"identifier": "B05", "position": [3, 9], "step": 122, "ordinal_position": 123}, {"identifier": "E66", "position": [2, 9], "step": 123, "ordinal_position": 124}, {"identifier": "J09", "position": [1, 9], "step": 124, "ordinal_position": 125}, {"identifier": "U94", "position": [1, 8], "step": 125, "ordinal_position": 126}, {"identifier": "O87", "position": [1, 7], "step": 126, "ordinal_position": 127}, {"identifier": "I37", "position": [1, 6], "step": 127, "ordinal_position": 128}, {"identifier": "L21", "position": [1, 5], "step": 128, "ordinal_position": 129}, {"identifier": "Y95", "position": [1, 4], "step": 129, "ordinal_position": 130}, {"identifier": "K33", "position": [1, 3], "step": 130, "ordinal_position": 131}, {"identifier": "D19", "position": [1, 2], "step": 131, "ordinal_position": 132}, {"identifier": "J03", "position": [1, 1], "step": 132, "ordinal_position": 133}, {"identifier": "U48", "position": [2, 1], "step": 133, "ordinal_position": 134}, {"identifier": "P20", "position": [3, 1], "step": 134, "ordinal_position": 135}, {"identifier": "D42", "position": [4, 1], "step": 135, "ordinal_position": 136}, {"identifier": "T23", "position": [5, 1], "step": 136, "ordinal_position": 137}, {"identifier": "T52", "position": [6, 1], "step": 137, "ordinal_position": 138}, {"identifier": "H34", "position": [7, 1], "step": 138, "ordinal_position": 139}, {"identifier": "O59", "position": [8, 1], "step": 139, "ordinal_position": 140}, {"identifier": "Q40", "position": [9, 1], "step": 140, "ordinal_position": 141}, {"identifier": "R15", "position": [9, 2], "step": 141, "ordinal_position": 142}, {"identifier": "X47", "position": [9, 3], "step": 142, "ordinal_position": 143}, {"identifier": "N73", "position": [9, 4], "step": 143, "ordinal_position": 144}, {"identifier": "V25", "position": [9, 5], "step": 144, "ordinal_position": 145}, {"identifier": "P79", "position": [8, 5], "step": 145, "ordinal_position": 146}, {"identifier": "Y88", "position": [7, 5], "step": 146, "ordinal_position": 147}, {"identifier": "P60", "position": [7, 6], "step": 147, "ordinal_position": 148}, {"identifier": "M69", "position": [7, 7], "step": 148, "ordinal_position": 149}, {"identifier": "B24", "position": [8, 7], "step": 149, "ordinal_position": 150}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 150, "direction": "left", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_012.json"}} {"qa_id": "6b1b010fbf434fc6b157b626b6afca9b", "image_id": "L3-MazeLoop-test_11x11_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E66, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 230th position in this traversal?", "start_object_id": "E66", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [230], "ordinal_strings": ["230th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "T23", "traversal_path": [{"identifier": "E66", "position": [2, 9], "step": 0, "ordinal_position": 1}, {"identifier": "J09", "position": [1, 9], "step": 1, "ordinal_position": 2}, {"identifier": "U94", "position": [1, 8], "step": 2, "ordinal_position": 3}, {"identifier": "O87", "position": [1, 7], "step": 3, "ordinal_position": 4}, {"identifier": "I37", "position": [1, 6], "step": 4, "ordinal_position": 5}, {"identifier": "L21", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "Y95", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "K33", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "D19", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "J03", "position": [1, 1], "step": 9, "ordinal_position": 10}, {"identifier": "U48", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "P20", "position": [3, 1], "step": 11, "ordinal_position": 12}, {"identifier": "D42", "position": [4, 1], "step": 12, "ordinal_position": 13}, {"identifier": "T23", "position": [5, 1], "step": 13, "ordinal_position": 14}, {"identifier": "T52", "position": [6, 1], "step": 14, "ordinal_position": 15}, {"identifier": "H34", "position": [7, 1], "step": 15, "ordinal_position": 16}, {"identifier": "O59", "position": [8, 1], "step": 16, "ordinal_position": 17}, {"identifier": "Q40", "position": [9, 1], "step": 17, "ordinal_position": 18}, {"identifier": "R15", "position": [9, 2], "step": 18, "ordinal_position": 19}, {"identifier": "X47", "position": [9, 3], "step": 19, "ordinal_position": 20}, {"identifier": "N73", "position": [9, 4], "step": 20, "ordinal_position": 21}, {"identifier": "V25", "position": [9, 5], "step": 21, "ordinal_position": 22}, {"identifier": "P79", "position": [8, 5], "step": 22, "ordinal_position": 23}, {"identifier": "Y88", "position": [7, 5], "step": 23, "ordinal_position": 24}, {"identifier": "P60", "position": [7, 6], "step": 24, "ordinal_position": 25}, {"identifier": "M69", "position": [7, 7], "step": 25, "ordinal_position": 26}, {"identifier": "B24", "position": [8, 7], "step": 26, "ordinal_position": 27}, {"identifier": "P90", "position": [9, 7], "step": 27, "ordinal_position": 28}, {"identifier": "L32", "position": [9, 8], "step": 28, "ordinal_position": 29}, {"identifier": "E20", "position": [9, 9], "step": 29, "ordinal_position": 30}, {"identifier": "Y87", "position": [8, 9], "step": 30, "ordinal_position": 31}, {"identifier": "B50", "position": [7, 9], "step": 31, "ordinal_position": 32}, {"identifier": "B15", "position": [6, 9], "step": 32, "ordinal_position": 33}, {"identifier": "B33", "position": [5, 9], "step": 33, "ordinal_position": 34}, {"identifier": "W16", "position": [4, 9], "step": 34, "ordinal_position": 35}, {"identifier": "B05", "position": [3, 9], "step": 35, "ordinal_position": 36}, {"identifier": "E66", "position": [2, 9], "step": 36, "ordinal_position": 37}, {"identifier": "J09", "position": [1, 9], "step": 37, "ordinal_position": 38}, {"identifier": "U94", "position": [1, 8], "step": 38, "ordinal_position": 39}, {"identifier": "O87", "position": [1, 7], "step": 39, "ordinal_position": 40}, {"identifier": "I37", "position": [1, 6], "step": 40, "ordinal_position": 41}, {"identifier": "L21", "position": [1, 5], "step": 41, "ordinal_position": 42}, {"identifier": "Y95", "position": [1, 4], "step": 42, "ordinal_position": 43}, {"identifier": "K33", "position": [1, 3], "step": 43, "ordinal_position": 44}, {"identifier": "D19", "position": [1, 2], "step": 44, "ordinal_position": 45}, {"identifier": "J03", "position": [1, 1], "step": 45, "ordinal_position": 46}, {"identifier": "U48", "position": [2, 1], "step": 46, "ordinal_position": 47}, {"identifier": "P20", "position": [3, 1], "step": 47, "ordinal_position": 48}, {"identifier": "D42", "position": [4, 1], "step": 48, "ordinal_position": 49}, {"identifier": "T23", "position": [5, 1], "step": 49, "ordinal_position": 50}, {"identifier": "T52", "position": [6, 1], "step": 50, "ordinal_position": 51}, {"identifier": "H34", "position": [7, 1], "step": 51, "ordinal_position": 52}, {"identifier": "O59", "position": [8, 1], "step": 52, "ordinal_position": 53}, {"identifier": "Q40", "position": [9, 1], "step": 53, "ordinal_position": 54}, {"identifier": "R15", "position": [9, 2], "step": 54, "ordinal_position": 55}, {"identifier": "X47", "position": [9, 3], "step": 55, "ordinal_position": 56}, {"identifier": "N73", "position": [9, 4], "step": 56, "ordinal_position": 57}, {"identifier": "V25", "position": [9, 5], "step": 57, "ordinal_position": 58}, {"identifier": "P79", "position": [8, 5], "step": 58, "ordinal_position": 59}, {"identifier": "Y88", "position": [7, 5], "step": 59, "ordinal_position": 60}, {"identifier": "P60", "position": [7, 6], "step": 60, "ordinal_position": 61}, {"identifier": "M69", "position": [7, 7], "step": 61, "ordinal_position": 62}, {"identifier": "B24", "position": [8, 7], "step": 62, "ordinal_position": 63}, {"identifier": "P90", "position": [9, 7], "step": 63, "ordinal_position": 64}, {"identifier": "L32", "position": [9, 8], "step": 64, "ordinal_position": 65}, {"identifier": "E20", "position": [9, 9], "step": 65, "ordinal_position": 66}, {"identifier": "Y87", "position": [8, 9], "step": 66, "ordinal_position": 67}, {"identifier": "B50", "position": [7, 9], "step": 67, "ordinal_position": 68}, {"identifier": "B15", "position": [6, 9], "step": 68, "ordinal_position": 69}, {"identifier": "B33", "position": [5, 9], "step": 69, "ordinal_position": 70}, {"identifier": "W16", "position": [4, 9], "step": 70, "ordinal_position": 71}, {"identifier": "B05", "position": [3, 9], "step": 71, "ordinal_position": 72}, {"identifier": "E66", "position": [2, 9], "step": 72, "ordinal_position": 73}, {"identifier": "J09", "position": [1, 9], "step": 73, "ordinal_position": 74}, {"identifier": "U94", "position": [1, 8], "step": 74, "ordinal_position": 75}, {"identifier": "O87", "position": [1, 7], "step": 75, "ordinal_position": 76}, {"identifier": "I37", "position": [1, 6], "step": 76, "ordinal_position": 77}, {"identifier": "L21", "position": [1, 5], "step": 77, "ordinal_position": 78}, {"identifier": "Y95", "position": [1, 4], "step": 78, "ordinal_position": 79}, {"identifier": "K33", "position": [1, 3], "step": 79, "ordinal_position": 80}, {"identifier": "D19", "position": [1, 2], "step": 80, "ordinal_position": 81}, {"identifier": "J03", "position": [1, 1], "step": 81, "ordinal_position": 82}, {"identifier": "U48", "position": [2, 1], "step": 82, "ordinal_position": 83}, {"identifier": "P20", "position": [3, 1], "step": 83, "ordinal_position": 84}, {"identifier": "D42", "position": [4, 1], "step": 84, "ordinal_position": 85}, {"identifier": "T23", "position": [5, 1], "step": 85, "ordinal_position": 86}, {"identifier": "T52", "position": [6, 1], "step": 86, "ordinal_position": 87}, {"identifier": "H34", "position": [7, 1], "step": 87, "ordinal_position": 88}, {"identifier": "O59", "position": [8, 1], "step": 88, "ordinal_position": 89}, {"identifier": "Q40", "position": [9, 1], "step": 89, "ordinal_position": 90}, {"identifier": "R15", "position": [9, 2], "step": 90, "ordinal_position": 91}, {"identifier": "X47", "position": [9, 3], "step": 91, "ordinal_position": 92}, {"identifier": "N73", "position": [9, 4], "step": 92, "ordinal_position": 93}, {"identifier": "V25", "position": [9, 5], "step": 93, "ordinal_position": 94}, {"identifier": "P79", "position": [8, 5], "step": 94, "ordinal_position": 95}, {"identifier": "Y88", "position": [7, 5], "step": 95, "ordinal_position": 96}, {"identifier": "P60", "position": [7, 6], "step": 96, "ordinal_position": 97}, {"identifier": "M69", "position": [7, 7], "step": 97, "ordinal_position": 98}, {"identifier": "B24", "position": [8, 7], "step": 98, "ordinal_position": 99}, {"identifier": "P90", "position": [9, 7], "step": 99, "ordinal_position": 100}, {"identifier": "L32", "position": [9, 8], "step": 100, "ordinal_position": 101}, {"identifier": "E20", "position": [9, 9], "step": 101, "ordinal_position": 102}, {"identifier": "Y87", "position": [8, 9], "step": 102, "ordinal_position": 103}, {"identifier": "B50", "position": [7, 9], "step": 103, "ordinal_position": 104}, {"identifier": "B15", "position": [6, 9], "step": 104, "ordinal_position": 105}, {"identifier": "B33", "position": [5, 9], "step": 105, "ordinal_position": 106}, {"identifier": "W16", "position": [4, 9], "step": 106, "ordinal_position": 107}, {"identifier": "B05", "position": [3, 9], "step": 107, "ordinal_position": 108}, {"identifier": "E66", "position": [2, 9], "step": 108, "ordinal_position": 109}, {"identifier": "J09", "position": [1, 9], "step": 109, "ordinal_position": 110}, {"identifier": "U94", "position": [1, 8], "step": 110, "ordinal_position": 111}, {"identifier": "O87", "position": [1, 7], "step": 111, "ordinal_position": 112}, {"identifier": "I37", "position": [1, 6], "step": 112, "ordinal_position": 113}, {"identifier": "L21", "position": [1, 5], "step": 113, "ordinal_position": 114}, {"identifier": "Y95", "position": [1, 4], "step": 114, "ordinal_position": 115}, {"identifier": "K33", "position": [1, 3], "step": 115, "ordinal_position": 116}, {"identifier": "D19", "position": [1, 2], "step": 116, "ordinal_position": 117}, {"identifier": "J03", "position": [1, 1], "step": 117, "ordinal_position": 118}, {"identifier": "U48", "position": [2, 1], "step": 118, "ordinal_position": 119}, {"identifier": "P20", "position": [3, 1], "step": 119, "ordinal_position": 120}, {"identifier": "D42", "position": [4, 1], "step": 120, "ordinal_position": 121}, {"identifier": "T23", "position": [5, 1], "step": 121, "ordinal_position": 122}, {"identifier": "T52", "position": [6, 1], "step": 122, "ordinal_position": 123}, {"identifier": "H34", "position": [7, 1], "step": 123, "ordinal_position": 124}, {"identifier": "O59", "position": [8, 1], "step": 124, "ordinal_position": 125}, {"identifier": "Q40", "position": [9, 1], "step": 125, "ordinal_position": 126}, {"identifier": "R15", "position": [9, 2], "step": 126, "ordinal_position": 127}, {"identifier": "X47", "position": [9, 3], "step": 127, "ordinal_position": 128}, {"identifier": "N73", "position": [9, 4], "step": 128, "ordinal_position": 129}, {"identifier": "V25", "position": [9, 5], "step": 129, "ordinal_position": 130}, {"identifier": "P79", "position": [8, 5], "step": 130, "ordinal_position": 131}, {"identifier": "Y88", "position": [7, 5], "step": 131, "ordinal_position": 132}, {"identifier": "P60", "position": [7, 6], "step": 132, "ordinal_position": 133}, {"identifier": "M69", "position": [7, 7], "step": 133, "ordinal_position": 134}, {"identifier": "B24", "position": [8, 7], "step": 134, "ordinal_position": 135}, {"identifier": "P90", "position": [9, 7], "step": 135, "ordinal_position": 136}, {"identifier": "L32", "position": [9, 8], "step": 136, "ordinal_position": 137}, {"identifier": "E20", "position": [9, 9], "step": 137, "ordinal_position": 138}, {"identifier": "Y87", "position": [8, 9], "step": 138, "ordinal_position": 139}, {"identifier": "B50", "position": [7, 9], "step": 139, "ordinal_position": 140}, {"identifier": "B15", "position": [6, 9], "step": 140, "ordinal_position": 141}, {"identifier": "B33", "position": [5, 9], "step": 141, "ordinal_position": 142}, {"identifier": "W16", "position": [4, 9], "step": 142, "ordinal_position": 143}, {"identifier": "B05", "position": [3, 9], "step": 143, "ordinal_position": 144}, {"identifier": "E66", "position": [2, 9], "step": 144, "ordinal_position": 145}, {"identifier": "J09", "position": [1, 9], "step": 145, "ordinal_position": 146}, {"identifier": "U94", "position": [1, 8], "step": 146, "ordinal_position": 147}, {"identifier": "O87", "position": [1, 7], "step": 147, "ordinal_position": 148}, {"identifier": "I37", "position": [1, 6], "step": 148, "ordinal_position": 149}, {"identifier": "L21", "position": [1, 5], "step": 149, "ordinal_position": 150}, {"identifier": "Y95", "position": [1, 4], "step": 150, "ordinal_position": 151}, {"identifier": "K33", "position": [1, 3], "step": 151, "ordinal_position": 152}, {"identifier": "D19", "position": [1, 2], "step": 152, "ordinal_position": 153}, {"identifier": "J03", "position": [1, 1], "step": 153, "ordinal_position": 154}, {"identifier": "U48", "position": [2, 1], "step": 154, "ordinal_position": 155}, {"identifier": "P20", "position": [3, 1], "step": 155, "ordinal_position": 156}, {"identifier": "D42", "position": [4, 1], "step": 156, "ordinal_position": 157}, {"identifier": "T23", "position": [5, 1], "step": 157, "ordinal_position": 158}, {"identifier": "T52", "position": [6, 1], "step": 158, "ordinal_position": 159}, {"identifier": "H34", "position": [7, 1], "step": 159, "ordinal_position": 160}, {"identifier": "O59", "position": [8, 1], "step": 160, "ordinal_position": 161}, {"identifier": "Q40", "position": [9, 1], "step": 161, "ordinal_position": 162}, {"identifier": "R15", "position": [9, 2], "step": 162, "ordinal_position": 163}, {"identifier": "X47", "position": [9, 3], "step": 163, "ordinal_position": 164}, {"identifier": "N73", "position": [9, 4], "step": 164, "ordinal_position": 165}, {"identifier": "V25", "position": [9, 5], "step": 165, "ordinal_position": 166}, {"identifier": "P79", "position": [8, 5], "step": 166, "ordinal_position": 167}, {"identifier": "Y88", "position": [7, 5], "step": 167, "ordinal_position": 168}, {"identifier": "P60", "position": [7, 6], "step": 168, "ordinal_position": 169}, {"identifier": "M69", "position": [7, 7], "step": 169, "ordinal_position": 170}, {"identifier": "B24", "position": [8, 7], "step": 170, "ordinal_position": 171}, {"identifier": "P90", "position": [9, 7], "step": 171, "ordinal_position": 172}, {"identifier": "L32", "position": [9, 8], "step": 172, "ordinal_position": 173}, {"identifier": "E20", "position": [9, 9], "step": 173, "ordinal_position": 174}, {"identifier": "Y87", "position": [8, 9], "step": 174, "ordinal_position": 175}, {"identifier": "B50", "position": [7, 9], "step": 175, "ordinal_position": 176}, {"identifier": "B15", "position": [6, 9], "step": 176, "ordinal_position": 177}, {"identifier": "B33", "position": [5, 9], "step": 177, "ordinal_position": 178}, {"identifier": "W16", "position": [4, 9], "step": 178, "ordinal_position": 179}, {"identifier": "B05", "position": [3, 9], "step": 179, "ordinal_position": 180}, {"identifier": "E66", "position": [2, 9], "step": 180, "ordinal_position": 181}, {"identifier": "J09", "position": [1, 9], "step": 181, "ordinal_position": 182}, {"identifier": "U94", "position": [1, 8], "step": 182, "ordinal_position": 183}, {"identifier": "O87", "position": [1, 7], "step": 183, "ordinal_position": 184}, {"identifier": "I37", "position": [1, 6], "step": 184, "ordinal_position": 185}, {"identifier": "L21", "position": [1, 5], "step": 185, "ordinal_position": 186}, {"identifier": "Y95", "position": [1, 4], "step": 186, "ordinal_position": 187}, {"identifier": "K33", "position": [1, 3], "step": 187, "ordinal_position": 188}, {"identifier": "D19", "position": [1, 2], "step": 188, "ordinal_position": 189}, {"identifier": "J03", "position": [1, 1], "step": 189, "ordinal_position": 190}, {"identifier": "U48", "position": [2, 1], "step": 190, "ordinal_position": 191}, {"identifier": "P20", "position": [3, 1], "step": 191, "ordinal_position": 192}, {"identifier": "D42", "position": [4, 1], "step": 192, "ordinal_position": 193}, {"identifier": "T23", "position": [5, 1], "step": 193, "ordinal_position": 194}, {"identifier": "T52", "position": [6, 1], "step": 194, "ordinal_position": 195}, {"identifier": "H34", "position": [7, 1], "step": 195, "ordinal_position": 196}, {"identifier": "O59", "position": [8, 1], "step": 196, "ordinal_position": 197}, {"identifier": "Q40", "position": [9, 1], "step": 197, "ordinal_position": 198}, {"identifier": "R15", "position": [9, 2], "step": 198, "ordinal_position": 199}, {"identifier": "X47", "position": [9, 3], "step": 199, "ordinal_position": 200}, {"identifier": "N73", "position": [9, 4], "step": 200, "ordinal_position": 201}, {"identifier": "V25", "position": [9, 5], "step": 201, "ordinal_position": 202}, {"identifier": "P79", "position": [8, 5], "step": 202, "ordinal_position": 203}, {"identifier": "Y88", "position": [7, 5], "step": 203, "ordinal_position": 204}, {"identifier": "P60", "position": [7, 6], "step": 204, "ordinal_position": 205}, {"identifier": "M69", "position": [7, 7], "step": 205, "ordinal_position": 206}, {"identifier": "B24", "position": [8, 7], "step": 206, "ordinal_position": 207}, {"identifier": "P90", "position": [9, 7], "step": 207, "ordinal_position": 208}, {"identifier": "L32", "position": [9, 8], "step": 208, "ordinal_position": 209}, {"identifier": "E20", "position": [9, 9], "step": 209, "ordinal_position": 210}, {"identifier": "Y87", "position": [8, 9], "step": 210, "ordinal_position": 211}, {"identifier": "B50", "position": [7, 9], "step": 211, "ordinal_position": 212}, {"identifier": "B15", "position": [6, 9], "step": 212, "ordinal_position": 213}, {"identifier": "B33", "position": [5, 9], "step": 213, "ordinal_position": 214}, {"identifier": "W16", "position": [4, 9], "step": 214, "ordinal_position": 215}, {"identifier": "B05", "position": [3, 9], "step": 215, "ordinal_position": 216}, {"identifier": "E66", "position": [2, 9], "step": 216, "ordinal_position": 217}, {"identifier": "J09", "position": [1, 9], "step": 217, "ordinal_position": 218}, {"identifier": "U94", "position": [1, 8], "step": 218, "ordinal_position": 219}, {"identifier": "O87", "position": [1, 7], "step": 219, "ordinal_position": 220}, {"identifier": "I37", "position": [1, 6], "step": 220, "ordinal_position": 221}, {"identifier": "L21", "position": [1, 5], "step": 221, "ordinal_position": 222}, {"identifier": "Y95", "position": [1, 4], "step": 222, "ordinal_position": 223}, {"identifier": "K33", "position": [1, 3], "step": 223, "ordinal_position": 224}, {"identifier": "D19", "position": [1, 2], "step": 224, "ordinal_position": 225}, {"identifier": "J03", "position": [1, 1], "step": 225, "ordinal_position": 226}, {"identifier": "U48", "position": [2, 1], "step": 226, "ordinal_position": 227}, {"identifier": "P20", "position": [3, 1], "step": 227, "ordinal_position": 228}, {"identifier": "D42", "position": [4, 1], "step": 228, "ordinal_position": 229}, {"identifier": "T23", "position": [5, 1], "step": 229, "ordinal_position": 230}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 230, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_012.json"}} {"qa_id": "2db3d42fb0ec484492c2ae1804efa6f5", "image_id": "L3-MazeLoop-test_11x11_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U39, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "U39", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "H34", "traversal_path": [{"identifier": "U39", "position": [6, 5], "step": 0, "ordinal_position": 1}, {"identifier": "R37", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "R62", "position": [5, 6], "step": 2, "ordinal_position": 3}, {"identifier": "P00", "position": [5, 7], "step": 3, "ordinal_position": 4}, {"identifier": "H34", "position": [4, 7], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 5, "direction": "left", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_013.json"}} {"qa_id": "dbd43d55001b4250a69a60dae91e7845", "image_id": "L3-MazeLoop-test_11x11_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H96, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "H96", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Y80", "traversal_path": [{"identifier": "H96", "position": [9, 5], "step": 0, "ordinal_position": 1}, {"identifier": "U10", "position": [9, 4], "step": 1, "ordinal_position": 2}, {"identifier": "B74", "position": [9, 3], "step": 2, "ordinal_position": 3}, {"identifier": "U33", "position": [9, 2], "step": 3, "ordinal_position": 4}, {"identifier": "O36", "position": [9, 1], "step": 4, "ordinal_position": 5}, {"identifier": "J64", "position": [8, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Q21", "position": [7, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Y80", "position": [6, 1], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 8, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_013.json"}} {"qa_id": "7d9420f0c2f948a9b1497464edd57686", "image_id": "L3-MazeLoop-test_11x11_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y80, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "Y80", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "O36", "traversal_path": [{"identifier": "Y80", "position": [6, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Q21", "position": [7, 1], "step": 1, "ordinal_position": 2}, {"identifier": "J64", "position": [8, 1], "step": 2, "ordinal_position": 3}, {"identifier": "O36", "position": [9, 1], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 4, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_013.json"}} {"qa_id": "13bad7718aac43bb80222b55adb9996f", "image_id": "L3-MazeLoop-test_11x11_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O36, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "O36", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q21", "traversal_path": [{"identifier": "O36", "position": [9, 1], "step": 0, "ordinal_position": 1}, {"identifier": "J64", "position": [8, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Q21", "position": [7, 1], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 3, "direction": "left", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_013.json"}} {"qa_id": "2ae1976d42924a33989120740c2c03d0", "image_id": "L3-MazeLoop-test_11x11_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U39, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "U39", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "H23", "traversal_path": [{"identifier": "U39", "position": [6, 5], "step": 0, "ordinal_position": 1}, {"identifier": "H23", "position": [7, 5], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 2, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_013.json"}} {"qa_id": "943aeba1b5b24272b8f89151e53ee619", "image_id": "L3-MazeLoop-test_11x11_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I31, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 88th position in this traversal?", "start_object_id": "I31", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [88], "ordinal_strings": ["88th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "X64", "traversal_path": [{"identifier": "I31", "position": [5, 9], "step": 0, "ordinal_position": 1}, {"identifier": "F36", "position": [6, 9], "step": 1, "ordinal_position": 2}, {"identifier": "I67", "position": [7, 9], "step": 2, "ordinal_position": 3}, {"identifier": "K39", "position": [8, 9], "step": 3, "ordinal_position": 4}, {"identifier": "M01", "position": [9, 9], "step": 4, "ordinal_position": 5}, {"identifier": "Z28", "position": [9, 8], "step": 5, "ordinal_position": 6}, {"identifier": "F80", "position": [9, 7], "step": 6, "ordinal_position": 7}, {"identifier": "V95", "position": [9, 6], "step": 7, "ordinal_position": 8}, {"identifier": "H96", "position": [9, 5], "step": 8, "ordinal_position": 9}, {"identifier": "U10", "position": [9, 4], "step": 9, "ordinal_position": 10}, {"identifier": "B74", "position": [9, 3], "step": 10, "ordinal_position": 11}, {"identifier": "U33", "position": [9, 2], "step": 11, "ordinal_position": 12}, {"identifier": "O36", "position": [9, 1], "step": 12, "ordinal_position": 13}, {"identifier": "J64", "position": [8, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Q21", "position": [7, 1], "step": 14, "ordinal_position": 15}, {"identifier": "Y80", "position": [6, 1], "step": 15, "ordinal_position": 16}, {"identifier": "K29", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "V40", "position": [4, 1], "step": 17, "ordinal_position": 18}, {"identifier": "P96", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "S23", "position": [2, 1], "step": 19, "ordinal_position": 20}, {"identifier": "J21", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "V31", "position": [1, 2], "step": 21, "ordinal_position": 22}, {"identifier": "K72", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "X64", "position": [1, 4], "step": 23, "ordinal_position": 24}, {"identifier": "F35", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "J65", "position": [2, 5], "step": 25, "ordinal_position": 26}, {"identifier": "Z76", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "O59", "position": [3, 4], "step": 27, "ordinal_position": 28}, {"identifier": "G54", "position": [3, 3], "step": 28, "ordinal_position": 29}, {"identifier": "Y71", "position": [4, 3], "step": 29, "ordinal_position": 30}, {"identifier": "W52", "position": [5, 3], "step": 30, "ordinal_position": 31}, {"identifier": "L47", "position": [5, 2], "step": 31, "ordinal_position": 32}, {"identifier": "K29", "position": [5, 1], "step": 32, "ordinal_position": 33}, {"identifier": "V40", "position": [4, 1], "step": 33, "ordinal_position": 34}, {"identifier": "P96", "position": [3, 1], "step": 34, "ordinal_position": 35}, {"identifier": "S23", "position": [2, 1], "step": 35, "ordinal_position": 36}, {"identifier": "J21", "position": [1, 1], "step": 36, "ordinal_position": 37}, {"identifier": "V31", "position": [1, 2], "step": 37, "ordinal_position": 38}, {"identifier": "K72", "position": [1, 3], "step": 38, "ordinal_position": 39}, {"identifier": "X64", "position": [1, 4], "step": 39, "ordinal_position": 40}, {"identifier": "F35", "position": [1, 5], "step": 40, "ordinal_position": 41}, {"identifier": "J65", "position": [2, 5], "step": 41, "ordinal_position": 42}, {"identifier": "Z76", "position": [3, 5], "step": 42, "ordinal_position": 43}, {"identifier": "O59", "position": [3, 4], "step": 43, "ordinal_position": 44}, {"identifier": "G54", "position": [3, 3], "step": 44, "ordinal_position": 45}, {"identifier": "Y71", "position": [4, 3], "step": 45, "ordinal_position": 46}, {"identifier": "W52", "position": [5, 3], "step": 46, "ordinal_position": 47}, {"identifier": "L47", "position": [5, 2], "step": 47, "ordinal_position": 48}, {"identifier": "K29", "position": [5, 1], "step": 48, "ordinal_position": 49}, {"identifier": "V40", "position": [4, 1], "step": 49, "ordinal_position": 50}, {"identifier": "P96", "position": [3, 1], "step": 50, "ordinal_position": 51}, {"identifier": "S23", "position": [2, 1], "step": 51, "ordinal_position": 52}, {"identifier": "J21", "position": [1, 1], "step": 52, "ordinal_position": 53}, {"identifier": "V31", "position": [1, 2], "step": 53, "ordinal_position": 54}, {"identifier": "K72", "position": [1, 3], "step": 54, "ordinal_position": 55}, {"identifier": "X64", "position": [1, 4], "step": 55, "ordinal_position": 56}, {"identifier": "F35", "position": [1, 5], "step": 56, "ordinal_position": 57}, {"identifier": "J65", "position": [2, 5], "step": 57, "ordinal_position": 58}, {"identifier": "Z76", "position": [3, 5], "step": 58, "ordinal_position": 59}, {"identifier": "O59", "position": [3, 4], "step": 59, "ordinal_position": 60}, {"identifier": "G54", "position": [3, 3], "step": 60, "ordinal_position": 61}, {"identifier": "Y71", "position": [4, 3], "step": 61, "ordinal_position": 62}, {"identifier": "W52", "position": [5, 3], "step": 62, "ordinal_position": 63}, {"identifier": "L47", "position": [5, 2], "step": 63, "ordinal_position": 64}, {"identifier": "K29", "position": [5, 1], "step": 64, "ordinal_position": 65}, {"identifier": "V40", "position": [4, 1], "step": 65, "ordinal_position": 66}, {"identifier": "P96", "position": [3, 1], "step": 66, "ordinal_position": 67}, {"identifier": "S23", "position": [2, 1], "step": 67, "ordinal_position": 68}, {"identifier": "J21", "position": [1, 1], "step": 68, "ordinal_position": 69}, {"identifier": "V31", "position": [1, 2], "step": 69, "ordinal_position": 70}, {"identifier": "K72", "position": [1, 3], "step": 70, "ordinal_position": 71}, {"identifier": "X64", "position": [1, 4], "step": 71, "ordinal_position": 72}, {"identifier": "F35", "position": [1, 5], "step": 72, "ordinal_position": 73}, {"identifier": "J65", "position": [2, 5], "step": 73, "ordinal_position": 74}, {"identifier": "Z76", "position": [3, 5], "step": 74, "ordinal_position": 75}, {"identifier": "O59", "position": [3, 4], "step": 75, "ordinal_position": 76}, {"identifier": "G54", "position": [3, 3], "step": 76, "ordinal_position": 77}, {"identifier": "Y71", "position": [4, 3], "step": 77, "ordinal_position": 78}, {"identifier": "W52", "position": [5, 3], "step": 78, "ordinal_position": 79}, {"identifier": "L47", "position": [5, 2], "step": 79, "ordinal_position": 80}, {"identifier": "K29", "position": [5, 1], "step": 80, "ordinal_position": 81}, {"identifier": "V40", "position": [4, 1], "step": 81, "ordinal_position": 82}, {"identifier": "P96", "position": [3, 1], "step": 82, "ordinal_position": 83}, {"identifier": "S23", "position": [2, 1], "step": 83, "ordinal_position": 84}, {"identifier": "J21", "position": [1, 1], "step": 84, "ordinal_position": 85}, {"identifier": "V31", "position": [1, 2], "step": 85, "ordinal_position": 86}, {"identifier": "K72", "position": [1, 3], "step": 86, "ordinal_position": 87}, {"identifier": "X64", "position": [1, 4], "step": 87, "ordinal_position": 88}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 88, "direction": "right", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_013.json"}} {"qa_id": "11fe30bb376642628420b20aafd3a2d9", "image_id": "L3-MazeLoop-test_11x11_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V40, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 78th position in this traversal?", "start_object_id": "V40", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [78], "ordinal_strings": ["78th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "I67", "traversal_path": [{"identifier": "V40", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "P96", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "S23", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "J21", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "V31", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "K72", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "X64", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "F35", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "J65", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "Z76", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "O59", "position": [3, 4], "step": 10, "ordinal_position": 11}, {"identifier": "G54", "position": [3, 3], "step": 11, "ordinal_position": 12}, {"identifier": "Y71", "position": [4, 3], "step": 12, "ordinal_position": 13}, {"identifier": "W52", "position": [5, 3], "step": 13, "ordinal_position": 14}, {"identifier": "L47", "position": [5, 2], "step": 14, "ordinal_position": 15}, {"identifier": "K29", "position": [5, 1], "step": 15, "ordinal_position": 16}, {"identifier": "Y80", "position": [6, 1], "step": 16, "ordinal_position": 17}, {"identifier": "Q21", "position": [7, 1], "step": 17, "ordinal_position": 18}, {"identifier": "J64", "position": [8, 1], "step": 18, "ordinal_position": 19}, {"identifier": "O36", "position": [9, 1], "step": 19, "ordinal_position": 20}, {"identifier": "U33", "position": [9, 2], "step": 20, "ordinal_position": 21}, {"identifier": "B74", "position": [9, 3], "step": 21, "ordinal_position": 22}, {"identifier": "U10", "position": [9, 4], "step": 22, "ordinal_position": 23}, {"identifier": "H96", "position": [9, 5], "step": 23, "ordinal_position": 24}, {"identifier": "V95", "position": [9, 6], "step": 24, "ordinal_position": 25}, {"identifier": "F80", "position": [9, 7], "step": 25, "ordinal_position": 26}, {"identifier": "Z28", "position": [9, 8], "step": 26, "ordinal_position": 27}, {"identifier": "M01", "position": [9, 9], "step": 27, "ordinal_position": 28}, {"identifier": "K39", "position": [8, 9], "step": 28, "ordinal_position": 29}, {"identifier": "I67", "position": [7, 9], "step": 29, "ordinal_position": 30}, {"identifier": "F36", "position": [6, 9], "step": 30, "ordinal_position": 31}, {"identifier": "I31", "position": [5, 9], "step": 31, "ordinal_position": 32}, {"identifier": "Z82", "position": [4, 9], "step": 32, "ordinal_position": 33}, {"identifier": "P35", "position": [3, 9], "step": 33, "ordinal_position": 34}, {"identifier": "X15", "position": [2, 9], "step": 34, "ordinal_position": 35}, {"identifier": "I29", "position": [1, 9], "step": 35, "ordinal_position": 36}, {"identifier": "J73", "position": [1, 8], "step": 36, "ordinal_position": 37}, {"identifier": "D00", "position": [1, 7], "step": 37, "ordinal_position": 38}, {"identifier": "Q93", "position": [2, 7], "step": 38, "ordinal_position": 39}, {"identifier": "S81", "position": [3, 7], "step": 39, "ordinal_position": 40}, {"identifier": "H34", "position": [4, 7], "step": 40, "ordinal_position": 41}, {"identifier": "P00", "position": [5, 7], "step": 41, "ordinal_position": 42}, {"identifier": "R62", "position": [5, 6], "step": 42, "ordinal_position": 43}, {"identifier": "R37", "position": [5, 5], "step": 43, "ordinal_position": 44}, {"identifier": "U39", "position": [6, 5], "step": 44, "ordinal_position": 45}, {"identifier": "H23", "position": [7, 5], "step": 45, "ordinal_position": 46}, {"identifier": "P20", "position": [7, 6], "step": 46, "ordinal_position": 47}, {"identifier": "S99", "position": [7, 7], "step": 47, "ordinal_position": 48}, {"identifier": "A08", "position": [8, 7], "step": 48, "ordinal_position": 49}, {"identifier": "F80", "position": [9, 7], "step": 49, "ordinal_position": 50}, {"identifier": "Z28", "position": [9, 8], "step": 50, "ordinal_position": 51}, {"identifier": "M01", "position": [9, 9], "step": 51, "ordinal_position": 52}, {"identifier": "K39", "position": [8, 9], "step": 52, "ordinal_position": 53}, {"identifier": "I67", "position": [7, 9], "step": 53, "ordinal_position": 54}, {"identifier": "F36", "position": [6, 9], "step": 54, "ordinal_position": 55}, {"identifier": "I31", "position": [5, 9], "step": 55, "ordinal_position": 56}, {"identifier": "Z82", "position": [4, 9], "step": 56, "ordinal_position": 57}, {"identifier": "P35", "position": [3, 9], "step": 57, "ordinal_position": 58}, {"identifier": "X15", "position": [2, 9], "step": 58, "ordinal_position": 59}, {"identifier": "I29", "position": [1, 9], "step": 59, "ordinal_position": 60}, {"identifier": "J73", "position": [1, 8], "step": 60, "ordinal_position": 61}, {"identifier": "D00", "position": [1, 7], "step": 61, "ordinal_position": 62}, {"identifier": "Q93", "position": [2, 7], "step": 62, "ordinal_position": 63}, {"identifier": "S81", "position": [3, 7], "step": 63, "ordinal_position": 64}, {"identifier": "H34", "position": [4, 7], "step": 64, "ordinal_position": 65}, {"identifier": "P00", "position": [5, 7], "step": 65, "ordinal_position": 66}, {"identifier": "R62", "position": [5, 6], "step": 66, "ordinal_position": 67}, {"identifier": "R37", "position": [5, 5], "step": 67, "ordinal_position": 68}, {"identifier": "U39", "position": [6, 5], "step": 68, "ordinal_position": 69}, {"identifier": "H23", "position": [7, 5], "step": 69, "ordinal_position": 70}, {"identifier": "P20", "position": [7, 6], "step": 70, "ordinal_position": 71}, {"identifier": "S99", "position": [7, 7], "step": 71, "ordinal_position": 72}, {"identifier": "A08", "position": [8, 7], "step": 72, "ordinal_position": 73}, {"identifier": "F80", "position": [9, 7], "step": 73, "ordinal_position": 74}, {"identifier": "Z28", "position": [9, 8], "step": 74, "ordinal_position": 75}, {"identifier": "M01", "position": [9, 9], "step": 75, "ordinal_position": 76}, {"identifier": "K39", "position": [8, 9], "step": 76, "ordinal_position": 77}, {"identifier": "I67", "position": [7, 9], "step": 77, "ordinal_position": 78}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 78, "direction": "left", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_013.json"}} {"qa_id": "1381e574b6d2400ab061303c2f18722d", "image_id": "L3-MazeLoop-test_11x11_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U39, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 41st position in this traversal?", "start_object_id": "U39", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [41], "ordinal_strings": ["41st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "O59", "traversal_path": [{"identifier": "U39", "position": [6, 5], "step": 0, "ordinal_position": 1}, {"identifier": "R37", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "R62", "position": [5, 6], "step": 2, "ordinal_position": 3}, {"identifier": "P00", "position": [5, 7], "step": 3, "ordinal_position": 4}, {"identifier": "H34", "position": [4, 7], "step": 4, "ordinal_position": 5}, {"identifier": "S81", "position": [3, 7], "step": 5, "ordinal_position": 6}, {"identifier": "Q93", "position": [2, 7], "step": 6, "ordinal_position": 7}, {"identifier": "D00", "position": [1, 7], "step": 7, "ordinal_position": 8}, {"identifier": "J73", "position": [1, 8], "step": 8, "ordinal_position": 9}, {"identifier": "I29", "position": [1, 9], "step": 9, "ordinal_position": 10}, {"identifier": "X15", "position": [2, 9], "step": 10, "ordinal_position": 11}, {"identifier": "P35", "position": [3, 9], "step": 11, "ordinal_position": 12}, {"identifier": "Z82", "position": [4, 9], "step": 12, "ordinal_position": 13}, {"identifier": "I31", "position": [5, 9], "step": 13, "ordinal_position": 14}, {"identifier": "F36", "position": [6, 9], "step": 14, "ordinal_position": 15}, {"identifier": "I67", "position": [7, 9], "step": 15, "ordinal_position": 16}, {"identifier": "K39", "position": [8, 9], "step": 16, "ordinal_position": 17}, {"identifier": "M01", "position": [9, 9], "step": 17, "ordinal_position": 18}, {"identifier": "Z28", "position": [9, 8], "step": 18, "ordinal_position": 19}, {"identifier": "F80", "position": [9, 7], "step": 19, "ordinal_position": 20}, {"identifier": "V95", "position": [9, 6], "step": 20, "ordinal_position": 21}, {"identifier": "H96", "position": [9, 5], "step": 21, "ordinal_position": 22}, {"identifier": "U10", "position": [9, 4], "step": 22, "ordinal_position": 23}, {"identifier": "B74", "position": [9, 3], "step": 23, "ordinal_position": 24}, {"identifier": "U33", "position": [9, 2], "step": 24, "ordinal_position": 25}, {"identifier": "O36", "position": [9, 1], "step": 25, "ordinal_position": 26}, {"identifier": "J64", "position": [8, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Q21", "position": [7, 1], "step": 27, "ordinal_position": 28}, {"identifier": "Y80", "position": [6, 1], "step": 28, "ordinal_position": 29}, {"identifier": "K29", "position": [5, 1], "step": 29, "ordinal_position": 30}, {"identifier": "V40", "position": [4, 1], "step": 30, "ordinal_position": 31}, {"identifier": "P96", "position": [3, 1], "step": 31, "ordinal_position": 32}, {"identifier": "S23", "position": [2, 1], "step": 32, "ordinal_position": 33}, {"identifier": "J21", "position": [1, 1], "step": 33, "ordinal_position": 34}, {"identifier": "V31", "position": [1, 2], "step": 34, "ordinal_position": 35}, {"identifier": "K72", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "X64", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "F35", "position": [1, 5], "step": 37, "ordinal_position": 38}, {"identifier": "J65", "position": [2, 5], "step": 38, "ordinal_position": 39}, {"identifier": "Z76", "position": [3, 5], "step": 39, "ordinal_position": 40}, {"identifier": "O59", "position": [3, 4], "step": 40, "ordinal_position": 41}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 41, "direction": "left", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_013.json"}} {"qa_id": "a94bebe888e84cb090c72611f2921e3b", "image_id": "L3-MazeLoop-test_11x11_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K37, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 29th position in this traversal?", "start_object_id": "K37", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [29], "ordinal_strings": ["29th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "P20", "traversal_path": [{"identifier": "K37", "position": [7, 4], "step": 0, "ordinal_position": 1}, {"identifier": "X79", "position": [7, 3], "step": 1, "ordinal_position": 2}, {"identifier": "B76", "position": [8, 3], "step": 2, "ordinal_position": 3}, {"identifier": "B74", "position": [9, 3], "step": 3, "ordinal_position": 4}, {"identifier": "U10", "position": [9, 4], "step": 4, "ordinal_position": 5}, {"identifier": "H96", "position": [9, 5], "step": 5, "ordinal_position": 6}, {"identifier": "V95", "position": [9, 6], "step": 6, "ordinal_position": 7}, {"identifier": "F80", "position": [9, 7], "step": 7, "ordinal_position": 8}, {"identifier": "Z28", "position": [9, 8], "step": 8, "ordinal_position": 9}, {"identifier": "M01", "position": [9, 9], "step": 9, "ordinal_position": 10}, {"identifier": "K39", "position": [8, 9], "step": 10, "ordinal_position": 11}, {"identifier": "I67", "position": [7, 9], "step": 11, "ordinal_position": 12}, {"identifier": "F36", "position": [6, 9], "step": 12, "ordinal_position": 13}, {"identifier": "I31", "position": [5, 9], "step": 13, "ordinal_position": 14}, {"identifier": "Z82", "position": [4, 9], "step": 14, "ordinal_position": 15}, {"identifier": "P35", "position": [3, 9], "step": 15, "ordinal_position": 16}, {"identifier": "X15", "position": [2, 9], "step": 16, "ordinal_position": 17}, {"identifier": "I29", "position": [1, 9], "step": 17, "ordinal_position": 18}, {"identifier": "J73", "position": [1, 8], "step": 18, "ordinal_position": 19}, {"identifier": "D00", "position": [1, 7], "step": 19, "ordinal_position": 20}, {"identifier": "Q93", "position": [2, 7], "step": 20, "ordinal_position": 21}, {"identifier": "S81", "position": [3, 7], "step": 21, "ordinal_position": 22}, {"identifier": "H34", "position": [4, 7], "step": 22, "ordinal_position": 23}, {"identifier": "P00", "position": [5, 7], "step": 23, "ordinal_position": 24}, {"identifier": "R62", "position": [5, 6], "step": 24, "ordinal_position": 25}, {"identifier": "R37", "position": [5, 5], "step": 25, "ordinal_position": 26}, {"identifier": "U39", "position": [6, 5], "step": 26, "ordinal_position": 27}, {"identifier": "H23", "position": [7, 5], "step": 27, "ordinal_position": 28}, {"identifier": "P20", "position": [7, 6], "step": 28, "ordinal_position": 29}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 29, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_013.json"}} {"qa_id": "252e7a811606418daef22acf56895ff0", "image_id": "L3-MazeLoop-test_11x11_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S99, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 84th position in this traversal?", "start_object_id": "S99", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [84], "ordinal_strings": ["84th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "X64", "traversal_path": [{"identifier": "S99", "position": [7, 7], "step": 0, "ordinal_position": 1}, {"identifier": "P20", "position": [7, 6], "step": 1, "ordinal_position": 2}, {"identifier": "H23", "position": [7, 5], "step": 2, "ordinal_position": 3}, {"identifier": "K37", "position": [7, 4], "step": 3, "ordinal_position": 4}, {"identifier": "X79", "position": [7, 3], "step": 4, "ordinal_position": 5}, {"identifier": "B76", "position": [8, 3], "step": 5, "ordinal_position": 6}, {"identifier": "B74", "position": [9, 3], "step": 6, "ordinal_position": 7}, {"identifier": "U33", "position": [9, 2], "step": 7, "ordinal_position": 8}, {"identifier": "O36", "position": [9, 1], "step": 8, "ordinal_position": 9}, {"identifier": "J64", "position": [8, 1], "step": 9, "ordinal_position": 10}, {"identifier": "Q21", "position": [7, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Y80", "position": [6, 1], "step": 11, "ordinal_position": 12}, {"identifier": "K29", "position": [5, 1], "step": 12, "ordinal_position": 13}, {"identifier": "V40", "position": [4, 1], "step": 13, "ordinal_position": 14}, {"identifier": "P96", "position": [3, 1], "step": 14, "ordinal_position": 15}, {"identifier": "S23", "position": [2, 1], "step": 15, "ordinal_position": 16}, {"identifier": "J21", "position": [1, 1], "step": 16, "ordinal_position": 17}, {"identifier": "V31", "position": [1, 2], "step": 17, "ordinal_position": 18}, {"identifier": "K72", "position": [1, 3], "step": 18, "ordinal_position": 19}, {"identifier": "X64", "position": [1, 4], "step": 19, "ordinal_position": 20}, {"identifier": "F35", "position": [1, 5], "step": 20, "ordinal_position": 21}, {"identifier": "J65", "position": [2, 5], "step": 21, "ordinal_position": 22}, {"identifier": "Z76", "position": [3, 5], "step": 22, "ordinal_position": 23}, {"identifier": "O59", "position": [3, 4], "step": 23, "ordinal_position": 24}, {"identifier": "G54", "position": [3, 3], "step": 24, "ordinal_position": 25}, {"identifier": "Y71", "position": [4, 3], "step": 25, "ordinal_position": 26}, {"identifier": "W52", "position": [5, 3], "step": 26, "ordinal_position": 27}, {"identifier": "L47", "position": [5, 2], "step": 27, "ordinal_position": 28}, {"identifier": "K29", "position": [5, 1], "step": 28, "ordinal_position": 29}, {"identifier": "V40", "position": [4, 1], "step": 29, "ordinal_position": 30}, {"identifier": "P96", "position": [3, 1], "step": 30, "ordinal_position": 31}, {"identifier": "S23", "position": [2, 1], "step": 31, "ordinal_position": 32}, {"identifier": "J21", "position": [1, 1], "step": 32, "ordinal_position": 33}, {"identifier": "V31", "position": [1, 2], "step": 33, "ordinal_position": 34}, {"identifier": "K72", "position": [1, 3], "step": 34, "ordinal_position": 35}, {"identifier": "X64", "position": [1, 4], "step": 35, "ordinal_position": 36}, {"identifier": "F35", "position": [1, 5], "step": 36, "ordinal_position": 37}, {"identifier": "J65", "position": [2, 5], "step": 37, "ordinal_position": 38}, {"identifier": "Z76", "position": [3, 5], "step": 38, "ordinal_position": 39}, {"identifier": "O59", "position": [3, 4], "step": 39, "ordinal_position": 40}, {"identifier": "G54", "position": [3, 3], "step": 40, "ordinal_position": 41}, {"identifier": "Y71", "position": [4, 3], "step": 41, "ordinal_position": 42}, {"identifier": "W52", "position": [5, 3], "step": 42, "ordinal_position": 43}, {"identifier": "L47", "position": [5, 2], "step": 43, "ordinal_position": 44}, {"identifier": "K29", "position": [5, 1], "step": 44, "ordinal_position": 45}, {"identifier": "V40", "position": [4, 1], "step": 45, "ordinal_position": 46}, {"identifier": "P96", "position": [3, 1], "step": 46, "ordinal_position": 47}, {"identifier": "S23", "position": [2, 1], "step": 47, "ordinal_position": 48}, {"identifier": "J21", "position": [1, 1], "step": 48, "ordinal_position": 49}, {"identifier": "V31", "position": [1, 2], "step": 49, "ordinal_position": 50}, {"identifier": "K72", "position": [1, 3], "step": 50, "ordinal_position": 51}, {"identifier": "X64", "position": [1, 4], "step": 51, "ordinal_position": 52}, {"identifier": "F35", "position": [1, 5], "step": 52, "ordinal_position": 53}, {"identifier": "J65", "position": [2, 5], "step": 53, "ordinal_position": 54}, {"identifier": "Z76", "position": [3, 5], "step": 54, "ordinal_position": 55}, {"identifier": "O59", "position": [3, 4], "step": 55, "ordinal_position": 56}, {"identifier": "G54", "position": [3, 3], "step": 56, "ordinal_position": 57}, {"identifier": "Y71", "position": [4, 3], "step": 57, "ordinal_position": 58}, {"identifier": "W52", "position": [5, 3], "step": 58, "ordinal_position": 59}, {"identifier": "L47", "position": [5, 2], "step": 59, "ordinal_position": 60}, {"identifier": "K29", "position": [5, 1], "step": 60, "ordinal_position": 61}, {"identifier": "V40", "position": [4, 1], "step": 61, "ordinal_position": 62}, {"identifier": "P96", "position": [3, 1], "step": 62, "ordinal_position": 63}, {"identifier": "S23", "position": [2, 1], "step": 63, "ordinal_position": 64}, {"identifier": "J21", "position": [1, 1], "step": 64, "ordinal_position": 65}, {"identifier": "V31", "position": [1, 2], "step": 65, "ordinal_position": 66}, {"identifier": "K72", "position": [1, 3], "step": 66, "ordinal_position": 67}, {"identifier": "X64", "position": [1, 4], "step": 67, "ordinal_position": 68}, {"identifier": "F35", "position": [1, 5], "step": 68, "ordinal_position": 69}, {"identifier": "J65", "position": [2, 5], "step": 69, "ordinal_position": 70}, {"identifier": "Z76", "position": [3, 5], "step": 70, "ordinal_position": 71}, {"identifier": "O59", "position": [3, 4], "step": 71, "ordinal_position": 72}, {"identifier": "G54", "position": [3, 3], "step": 72, "ordinal_position": 73}, {"identifier": "Y71", "position": [4, 3], "step": 73, "ordinal_position": 74}, {"identifier": "W52", "position": [5, 3], "step": 74, "ordinal_position": 75}, {"identifier": "L47", "position": [5, 2], "step": 75, "ordinal_position": 76}, {"identifier": "K29", "position": [5, 1], "step": 76, "ordinal_position": 77}, {"identifier": "V40", "position": [4, 1], "step": 77, "ordinal_position": 78}, {"identifier": "P96", "position": [3, 1], "step": 78, "ordinal_position": 79}, {"identifier": "S23", "position": [2, 1], "step": 79, "ordinal_position": 80}, {"identifier": "J21", "position": [1, 1], "step": 80, "ordinal_position": 81}, {"identifier": "V31", "position": [1, 2], "step": 81, "ordinal_position": 82}, {"identifier": "K72", "position": [1, 3], "step": 82, "ordinal_position": 83}, {"identifier": "X64", "position": [1, 4], "step": 83, "ordinal_position": 84}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 84, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_013.json"}} {"qa_id": "a6b3c63661544750b1f5274718b58589", "image_id": "L3-MazeLoop-test_11x11_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F35, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 216th position in this traversal?", "start_object_id": "F35", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [216], "ordinal_strings": ["216th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "F36", "traversal_path": [{"identifier": "F35", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "X64", "position": [1, 4], "step": 1, "ordinal_position": 2}, {"identifier": "K72", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "V31", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "J21", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "S23", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "P96", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "V40", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "K29", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Y80", "position": [6, 1], "step": 9, "ordinal_position": 10}, {"identifier": "Q21", "position": [7, 1], "step": 10, "ordinal_position": 11}, {"identifier": "J64", "position": [8, 1], "step": 11, "ordinal_position": 12}, {"identifier": "O36", "position": [9, 1], "step": 12, "ordinal_position": 13}, {"identifier": "U33", "position": [9, 2], "step": 13, "ordinal_position": 14}, {"identifier": "B74", "position": [9, 3], "step": 14, "ordinal_position": 15}, {"identifier": "U10", "position": [9, 4], "step": 15, "ordinal_position": 16}, {"identifier": "H96", "position": [9, 5], "step": 16, "ordinal_position": 17}, {"identifier": "V95", "position": [9, 6], "step": 17, "ordinal_position": 18}, {"identifier": "F80", "position": [9, 7], "step": 18, "ordinal_position": 19}, {"identifier": "Z28", "position": [9, 8], "step": 19, "ordinal_position": 20}, {"identifier": "M01", "position": [9, 9], "step": 20, "ordinal_position": 21}, {"identifier": "K39", "position": [8, 9], "step": 21, "ordinal_position": 22}, {"identifier": "I67", "position": [7, 9], "step": 22, "ordinal_position": 23}, {"identifier": "F36", "position": [6, 9], "step": 23, "ordinal_position": 24}, {"identifier": "I31", "position": [5, 9], "step": 24, "ordinal_position": 25}, {"identifier": "Z82", "position": [4, 9], "step": 25, "ordinal_position": 26}, {"identifier": "P35", "position": [3, 9], "step": 26, "ordinal_position": 27}, {"identifier": "X15", "position": [2, 9], "step": 27, "ordinal_position": 28}, {"identifier": "I29", "position": [1, 9], "step": 28, "ordinal_position": 29}, {"identifier": "J73", "position": [1, 8], "step": 29, "ordinal_position": 30}, {"identifier": "D00", "position": [1, 7], "step": 30, "ordinal_position": 31}, {"identifier": "Q93", "position": [2, 7], "step": 31, "ordinal_position": 32}, {"identifier": "S81", "position": [3, 7], "step": 32, "ordinal_position": 33}, {"identifier": "H34", "position": [4, 7], "step": 33, "ordinal_position": 34}, {"identifier": "P00", "position": [5, 7], "step": 34, "ordinal_position": 35}, {"identifier": "R62", "position": [5, 6], "step": 35, "ordinal_position": 36}, {"identifier": "R37", "position": [5, 5], "step": 36, "ordinal_position": 37}, {"identifier": "U39", "position": [6, 5], "step": 37, "ordinal_position": 38}, {"identifier": "H23", "position": [7, 5], "step": 38, "ordinal_position": 39}, {"identifier": "P20", "position": [7, 6], "step": 39, "ordinal_position": 40}, {"identifier": "S99", "position": [7, 7], "step": 40, "ordinal_position": 41}, {"identifier": "A08", "position": [8, 7], "step": 41, "ordinal_position": 42}, {"identifier": "F80", "position": [9, 7], "step": 42, "ordinal_position": 43}, {"identifier": "Z28", "position": [9, 8], "step": 43, "ordinal_position": 44}, {"identifier": "M01", "position": [9, 9], "step": 44, "ordinal_position": 45}, {"identifier": "K39", "position": [8, 9], "step": 45, "ordinal_position": 46}, {"identifier": "I67", "position": [7, 9], "step": 46, "ordinal_position": 47}, {"identifier": "F36", "position": [6, 9], "step": 47, "ordinal_position": 48}, {"identifier": "I31", "position": [5, 9], "step": 48, "ordinal_position": 49}, {"identifier": "Z82", "position": [4, 9], "step": 49, "ordinal_position": 50}, {"identifier": "P35", "position": [3, 9], "step": 50, "ordinal_position": 51}, {"identifier": "X15", "position": [2, 9], "step": 51, "ordinal_position": 52}, {"identifier": "I29", "position": [1, 9], "step": 52, "ordinal_position": 53}, {"identifier": "J73", "position": [1, 8], "step": 53, "ordinal_position": 54}, {"identifier": "D00", "position": [1, 7], "step": 54, "ordinal_position": 55}, {"identifier": "Q93", "position": [2, 7], "step": 55, "ordinal_position": 56}, {"identifier": "S81", "position": [3, 7], "step": 56, "ordinal_position": 57}, {"identifier": "H34", "position": [4, 7], "step": 57, "ordinal_position": 58}, {"identifier": "P00", "position": [5, 7], "step": 58, "ordinal_position": 59}, {"identifier": "R62", "position": [5, 6], "step": 59, "ordinal_position": 60}, {"identifier": "R37", "position": [5, 5], "step": 60, "ordinal_position": 61}, {"identifier": "U39", "position": [6, 5], "step": 61, "ordinal_position": 62}, {"identifier": "H23", "position": [7, 5], "step": 62, "ordinal_position": 63}, {"identifier": "P20", "position": [7, 6], "step": 63, "ordinal_position": 64}, {"identifier": "S99", "position": [7, 7], "step": 64, "ordinal_position": 65}, {"identifier": "A08", "position": [8, 7], "step": 65, "ordinal_position": 66}, {"identifier": "F80", "position": [9, 7], "step": 66, "ordinal_position": 67}, {"identifier": "Z28", "position": [9, 8], "step": 67, "ordinal_position": 68}, {"identifier": "M01", "position": [9, 9], "step": 68, "ordinal_position": 69}, {"identifier": "K39", "position": [8, 9], "step": 69, "ordinal_position": 70}, {"identifier": "I67", "position": [7, 9], "step": 70, "ordinal_position": 71}, {"identifier": "F36", "position": [6, 9], "step": 71, "ordinal_position": 72}, {"identifier": "I31", "position": [5, 9], "step": 72, "ordinal_position": 73}, {"identifier": "Z82", "position": [4, 9], "step": 73, "ordinal_position": 74}, {"identifier": "P35", "position": [3, 9], "step": 74, "ordinal_position": 75}, {"identifier": "X15", "position": [2, 9], "step": 75, "ordinal_position": 76}, {"identifier": "I29", "position": [1, 9], "step": 76, "ordinal_position": 77}, {"identifier": "J73", "position": [1, 8], "step": 77, "ordinal_position": 78}, {"identifier": "D00", "position": [1, 7], "step": 78, "ordinal_position": 79}, {"identifier": "Q93", "position": [2, 7], "step": 79, "ordinal_position": 80}, {"identifier": "S81", "position": [3, 7], "step": 80, "ordinal_position": 81}, {"identifier": "H34", "position": [4, 7], "step": 81, "ordinal_position": 82}, {"identifier": "P00", "position": [5, 7], "step": 82, "ordinal_position": 83}, {"identifier": "R62", "position": [5, 6], "step": 83, "ordinal_position": 84}, {"identifier": "R37", "position": [5, 5], "step": 84, "ordinal_position": 85}, {"identifier": "U39", "position": [6, 5], "step": 85, "ordinal_position": 86}, {"identifier": "H23", "position": [7, 5], "step": 86, "ordinal_position": 87}, {"identifier": "P20", "position": [7, 6], "step": 87, "ordinal_position": 88}, {"identifier": "S99", "position": [7, 7], "step": 88, "ordinal_position": 89}, {"identifier": "A08", "position": [8, 7], "step": 89, "ordinal_position": 90}, {"identifier": "F80", "position": [9, 7], "step": 90, "ordinal_position": 91}, {"identifier": "Z28", "position": [9, 8], "step": 91, "ordinal_position": 92}, {"identifier": "M01", "position": [9, 9], "step": 92, "ordinal_position": 93}, {"identifier": "K39", "position": [8, 9], "step": 93, "ordinal_position": 94}, {"identifier": "I67", "position": [7, 9], "step": 94, "ordinal_position": 95}, {"identifier": "F36", "position": [6, 9], "step": 95, "ordinal_position": 96}, {"identifier": "I31", "position": [5, 9], "step": 96, "ordinal_position": 97}, {"identifier": "Z82", "position": [4, 9], "step": 97, "ordinal_position": 98}, {"identifier": "P35", "position": [3, 9], "step": 98, "ordinal_position": 99}, {"identifier": "X15", "position": [2, 9], "step": 99, "ordinal_position": 100}, {"identifier": "I29", "position": [1, 9], "step": 100, "ordinal_position": 101}, {"identifier": "J73", "position": [1, 8], "step": 101, "ordinal_position": 102}, {"identifier": "D00", "position": [1, 7], "step": 102, "ordinal_position": 103}, {"identifier": "Q93", "position": [2, 7], "step": 103, "ordinal_position": 104}, {"identifier": "S81", "position": [3, 7], "step": 104, "ordinal_position": 105}, {"identifier": "H34", "position": [4, 7], "step": 105, "ordinal_position": 106}, {"identifier": "P00", "position": [5, 7], "step": 106, "ordinal_position": 107}, {"identifier": "R62", "position": [5, 6], "step": 107, "ordinal_position": 108}, {"identifier": "R37", "position": [5, 5], "step": 108, "ordinal_position": 109}, {"identifier": "U39", "position": [6, 5], "step": 109, "ordinal_position": 110}, {"identifier": "H23", "position": [7, 5], "step": 110, "ordinal_position": 111}, {"identifier": "P20", "position": [7, 6], "step": 111, "ordinal_position": 112}, {"identifier": "S99", "position": [7, 7], "step": 112, "ordinal_position": 113}, {"identifier": "A08", "position": [8, 7], "step": 113, "ordinal_position": 114}, {"identifier": "F80", "position": [9, 7], "step": 114, "ordinal_position": 115}, {"identifier": "Z28", "position": [9, 8], "step": 115, "ordinal_position": 116}, {"identifier": "M01", "position": [9, 9], "step": 116, "ordinal_position": 117}, {"identifier": "K39", "position": [8, 9], "step": 117, "ordinal_position": 118}, {"identifier": "I67", "position": [7, 9], "step": 118, "ordinal_position": 119}, {"identifier": "F36", "position": [6, 9], "step": 119, "ordinal_position": 120}, {"identifier": "I31", "position": [5, 9], "step": 120, "ordinal_position": 121}, {"identifier": "Z82", "position": [4, 9], "step": 121, "ordinal_position": 122}, {"identifier": "P35", "position": [3, 9], "step": 122, "ordinal_position": 123}, {"identifier": "X15", "position": [2, 9], "step": 123, "ordinal_position": 124}, {"identifier": "I29", "position": [1, 9], "step": 124, "ordinal_position": 125}, {"identifier": "J73", "position": [1, 8], "step": 125, "ordinal_position": 126}, {"identifier": "D00", "position": [1, 7], "step": 126, "ordinal_position": 127}, {"identifier": "Q93", "position": [2, 7], "step": 127, "ordinal_position": 128}, {"identifier": "S81", "position": [3, 7], "step": 128, "ordinal_position": 129}, {"identifier": "H34", "position": [4, 7], "step": 129, "ordinal_position": 130}, {"identifier": "P00", "position": [5, 7], "step": 130, "ordinal_position": 131}, {"identifier": "R62", "position": [5, 6], "step": 131, "ordinal_position": 132}, {"identifier": "R37", "position": [5, 5], "step": 132, "ordinal_position": 133}, {"identifier": "U39", "position": [6, 5], "step": 133, "ordinal_position": 134}, {"identifier": "H23", "position": [7, 5], "step": 134, "ordinal_position": 135}, {"identifier": "P20", "position": [7, 6], "step": 135, "ordinal_position": 136}, {"identifier": "S99", "position": [7, 7], "step": 136, "ordinal_position": 137}, {"identifier": "A08", "position": [8, 7], "step": 137, "ordinal_position": 138}, {"identifier": "F80", "position": [9, 7], "step": 138, "ordinal_position": 139}, {"identifier": "Z28", "position": [9, 8], "step": 139, "ordinal_position": 140}, {"identifier": "M01", "position": [9, 9], "step": 140, "ordinal_position": 141}, {"identifier": "K39", "position": [8, 9], "step": 141, "ordinal_position": 142}, {"identifier": "I67", "position": [7, 9], "step": 142, "ordinal_position": 143}, {"identifier": "F36", "position": [6, 9], "step": 143, "ordinal_position": 144}, {"identifier": "I31", "position": [5, 9], "step": 144, "ordinal_position": 145}, {"identifier": "Z82", "position": [4, 9], "step": 145, "ordinal_position": 146}, {"identifier": "P35", "position": [3, 9], "step": 146, "ordinal_position": 147}, {"identifier": "X15", "position": [2, 9], "step": 147, "ordinal_position": 148}, {"identifier": "I29", "position": [1, 9], "step": 148, "ordinal_position": 149}, {"identifier": "J73", "position": [1, 8], "step": 149, "ordinal_position": 150}, {"identifier": "D00", "position": [1, 7], "step": 150, "ordinal_position": 151}, {"identifier": "Q93", "position": [2, 7], "step": 151, "ordinal_position": 152}, {"identifier": "S81", "position": [3, 7], "step": 152, "ordinal_position": 153}, {"identifier": "H34", "position": [4, 7], "step": 153, "ordinal_position": 154}, {"identifier": "P00", "position": [5, 7], "step": 154, "ordinal_position": 155}, {"identifier": "R62", "position": [5, 6], "step": 155, "ordinal_position": 156}, {"identifier": "R37", "position": [5, 5], "step": 156, "ordinal_position": 157}, {"identifier": "U39", "position": [6, 5], "step": 157, "ordinal_position": 158}, {"identifier": "H23", "position": [7, 5], "step": 158, "ordinal_position": 159}, {"identifier": "P20", "position": [7, 6], "step": 159, "ordinal_position": 160}, {"identifier": "S99", "position": [7, 7], "step": 160, "ordinal_position": 161}, {"identifier": "A08", "position": [8, 7], "step": 161, "ordinal_position": 162}, {"identifier": "F80", "position": [9, 7], "step": 162, "ordinal_position": 163}, {"identifier": "Z28", "position": [9, 8], "step": 163, "ordinal_position": 164}, {"identifier": "M01", "position": [9, 9], "step": 164, "ordinal_position": 165}, {"identifier": "K39", "position": [8, 9], "step": 165, "ordinal_position": 166}, {"identifier": "I67", "position": [7, 9], "step": 166, "ordinal_position": 167}, {"identifier": "F36", "position": [6, 9], "step": 167, "ordinal_position": 168}, {"identifier": "I31", "position": [5, 9], "step": 168, "ordinal_position": 169}, {"identifier": "Z82", "position": [4, 9], "step": 169, "ordinal_position": 170}, {"identifier": "P35", "position": [3, 9], "step": 170, "ordinal_position": 171}, {"identifier": "X15", "position": [2, 9], "step": 171, "ordinal_position": 172}, {"identifier": "I29", "position": [1, 9], "step": 172, "ordinal_position": 173}, {"identifier": "J73", "position": [1, 8], "step": 173, "ordinal_position": 174}, {"identifier": "D00", "position": [1, 7], "step": 174, "ordinal_position": 175}, {"identifier": "Q93", "position": [2, 7], "step": 175, "ordinal_position": 176}, {"identifier": "S81", "position": [3, 7], "step": 176, "ordinal_position": 177}, {"identifier": "H34", "position": [4, 7], "step": 177, "ordinal_position": 178}, {"identifier": "P00", "position": [5, 7], "step": 178, "ordinal_position": 179}, {"identifier": "R62", "position": [5, 6], "step": 179, "ordinal_position": 180}, {"identifier": "R37", "position": [5, 5], "step": 180, "ordinal_position": 181}, {"identifier": "U39", "position": [6, 5], "step": 181, "ordinal_position": 182}, {"identifier": "H23", "position": [7, 5], "step": 182, "ordinal_position": 183}, {"identifier": "P20", "position": [7, 6], "step": 183, "ordinal_position": 184}, {"identifier": "S99", "position": [7, 7], "step": 184, "ordinal_position": 185}, {"identifier": "A08", "position": [8, 7], "step": 185, "ordinal_position": 186}, {"identifier": "F80", "position": [9, 7], "step": 186, "ordinal_position": 187}, {"identifier": "Z28", "position": [9, 8], "step": 187, "ordinal_position": 188}, {"identifier": "M01", "position": [9, 9], "step": 188, "ordinal_position": 189}, {"identifier": "K39", "position": [8, 9], "step": 189, "ordinal_position": 190}, {"identifier": "I67", "position": [7, 9], "step": 190, "ordinal_position": 191}, {"identifier": "F36", "position": [6, 9], "step": 191, "ordinal_position": 192}, {"identifier": "I31", "position": [5, 9], "step": 192, "ordinal_position": 193}, {"identifier": "Z82", "position": [4, 9], "step": 193, "ordinal_position": 194}, {"identifier": "P35", "position": [3, 9], "step": 194, "ordinal_position": 195}, {"identifier": "X15", "position": [2, 9], "step": 195, "ordinal_position": 196}, {"identifier": "I29", "position": [1, 9], "step": 196, "ordinal_position": 197}, {"identifier": "J73", "position": [1, 8], "step": 197, "ordinal_position": 198}, {"identifier": "D00", "position": [1, 7], "step": 198, "ordinal_position": 199}, {"identifier": "Q93", "position": [2, 7], "step": 199, "ordinal_position": 200}, {"identifier": "S81", "position": [3, 7], "step": 200, "ordinal_position": 201}, {"identifier": "H34", "position": [4, 7], "step": 201, "ordinal_position": 202}, {"identifier": "P00", "position": [5, 7], "step": 202, "ordinal_position": 203}, {"identifier": "R62", "position": [5, 6], "step": 203, "ordinal_position": 204}, {"identifier": "R37", "position": [5, 5], "step": 204, "ordinal_position": 205}, {"identifier": "U39", "position": [6, 5], "step": 205, "ordinal_position": 206}, {"identifier": "H23", "position": [7, 5], "step": 206, "ordinal_position": 207}, {"identifier": "P20", "position": [7, 6], "step": 207, "ordinal_position": 208}, {"identifier": "S99", "position": [7, 7], "step": 208, "ordinal_position": 209}, {"identifier": "A08", "position": [8, 7], "step": 209, "ordinal_position": 210}, {"identifier": "F80", "position": [9, 7], "step": 210, "ordinal_position": 211}, {"identifier": "Z28", "position": [9, 8], "step": 211, "ordinal_position": 212}, {"identifier": "M01", "position": [9, 9], "step": 212, "ordinal_position": 213}, {"identifier": "K39", "position": [8, 9], "step": 213, "ordinal_position": 214}, {"identifier": "I67", "position": [7, 9], "step": 214, "ordinal_position": 215}, {"identifier": "F36", "position": [6, 9], "step": 215, "ordinal_position": 216}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 216, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_013.json"}} {"qa_id": "ec46e53218f34eb99a82927eaddeb4d5", "image_id": "L3-MazeLoop-test_11x11_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P96, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 175th position in this traversal?", "start_object_id": "P96", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [175], "ordinal_strings": ["175th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "K29", "traversal_path": [{"identifier": "P96", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "S23", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "J21", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "V31", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "K72", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "X64", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "F35", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "J65", "position": [2, 5], "step": 7, "ordinal_position": 8}, {"identifier": "Z76", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "O59", "position": [3, 4], "step": 9, "ordinal_position": 10}, {"identifier": "G54", "position": [3, 3], "step": 10, "ordinal_position": 11}, {"identifier": "Y71", "position": [4, 3], "step": 11, "ordinal_position": 12}, {"identifier": "W52", "position": [5, 3], "step": 12, "ordinal_position": 13}, {"identifier": "L47", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "K29", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "V40", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "P96", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "S23", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "J21", "position": [1, 1], "step": 18, "ordinal_position": 19}, {"identifier": "V31", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "K72", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "X64", "position": [1, 4], "step": 21, "ordinal_position": 22}, {"identifier": "F35", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "J65", "position": [2, 5], "step": 23, "ordinal_position": 24}, {"identifier": "Z76", "position": [3, 5], "step": 24, "ordinal_position": 25}, {"identifier": "O59", "position": [3, 4], "step": 25, "ordinal_position": 26}, {"identifier": "G54", "position": [3, 3], "step": 26, "ordinal_position": 27}, {"identifier": "Y71", "position": [4, 3], "step": 27, "ordinal_position": 28}, {"identifier": "W52", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "L47", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "K29", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "V40", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "P96", "position": [3, 1], "step": 32, "ordinal_position": 33}, {"identifier": "S23", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "J21", "position": [1, 1], "step": 34, "ordinal_position": 35}, {"identifier": "V31", "position": [1, 2], "step": 35, "ordinal_position": 36}, {"identifier": "K72", "position": [1, 3], "step": 36, "ordinal_position": 37}, {"identifier": "X64", "position": [1, 4], "step": 37, "ordinal_position": 38}, {"identifier": "F35", "position": [1, 5], "step": 38, "ordinal_position": 39}, {"identifier": "J65", "position": [2, 5], "step": 39, "ordinal_position": 40}, {"identifier": "Z76", "position": [3, 5], "step": 40, "ordinal_position": 41}, {"identifier": "O59", "position": [3, 4], "step": 41, "ordinal_position": 42}, {"identifier": "G54", "position": [3, 3], "step": 42, "ordinal_position": 43}, {"identifier": "Y71", "position": [4, 3], "step": 43, "ordinal_position": 44}, {"identifier": "W52", "position": [5, 3], "step": 44, "ordinal_position": 45}, {"identifier": "L47", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "K29", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "V40", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "P96", "position": [3, 1], "step": 48, "ordinal_position": 49}, {"identifier": "S23", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "J21", "position": [1, 1], "step": 50, "ordinal_position": 51}, {"identifier": "V31", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "K72", "position": [1, 3], "step": 52, "ordinal_position": 53}, {"identifier": "X64", "position": [1, 4], "step": 53, "ordinal_position": 54}, {"identifier": "F35", "position": [1, 5], "step": 54, "ordinal_position": 55}, {"identifier": "J65", "position": [2, 5], "step": 55, "ordinal_position": 56}, {"identifier": "Z76", "position": [3, 5], "step": 56, "ordinal_position": 57}, {"identifier": "O59", "position": [3, 4], "step": 57, "ordinal_position": 58}, {"identifier": "G54", "position": [3, 3], "step": 58, "ordinal_position": 59}, {"identifier": "Y71", "position": [4, 3], "step": 59, "ordinal_position": 60}, {"identifier": "W52", "position": [5, 3], "step": 60, "ordinal_position": 61}, {"identifier": "L47", "position": [5, 2], "step": 61, "ordinal_position": 62}, {"identifier": "K29", "position": [5, 1], "step": 62, "ordinal_position": 63}, {"identifier": "V40", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "P96", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "S23", "position": [2, 1], "step": 65, "ordinal_position": 66}, {"identifier": "J21", "position": [1, 1], "step": 66, "ordinal_position": 67}, {"identifier": "V31", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "K72", "position": [1, 3], "step": 68, "ordinal_position": 69}, {"identifier": "X64", "position": [1, 4], "step": 69, "ordinal_position": 70}, {"identifier": "F35", "position": [1, 5], "step": 70, "ordinal_position": 71}, {"identifier": "J65", "position": [2, 5], "step": 71, "ordinal_position": 72}, {"identifier": "Z76", "position": [3, 5], "step": 72, "ordinal_position": 73}, {"identifier": "O59", "position": [3, 4], "step": 73, "ordinal_position": 74}, {"identifier": "G54", "position": [3, 3], "step": 74, "ordinal_position": 75}, {"identifier": "Y71", "position": [4, 3], "step": 75, "ordinal_position": 76}, {"identifier": "W52", "position": [5, 3], "step": 76, "ordinal_position": 77}, {"identifier": "L47", "position": [5, 2], "step": 77, "ordinal_position": 78}, {"identifier": "K29", "position": [5, 1], "step": 78, "ordinal_position": 79}, {"identifier": "V40", "position": [4, 1], "step": 79, "ordinal_position": 80}, {"identifier": "P96", "position": [3, 1], "step": 80, "ordinal_position": 81}, {"identifier": "S23", "position": [2, 1], "step": 81, "ordinal_position": 82}, {"identifier": "J21", "position": [1, 1], "step": 82, "ordinal_position": 83}, {"identifier": "V31", "position": [1, 2], "step": 83, "ordinal_position": 84}, {"identifier": "K72", "position": [1, 3], "step": 84, "ordinal_position": 85}, {"identifier": "X64", "position": [1, 4], "step": 85, "ordinal_position": 86}, {"identifier": "F35", "position": [1, 5], "step": 86, "ordinal_position": 87}, {"identifier": "J65", "position": [2, 5], "step": 87, "ordinal_position": 88}, {"identifier": "Z76", "position": [3, 5], "step": 88, "ordinal_position": 89}, {"identifier": "O59", "position": [3, 4], "step": 89, "ordinal_position": 90}, {"identifier": "G54", "position": [3, 3], "step": 90, "ordinal_position": 91}, {"identifier": "Y71", "position": [4, 3], "step": 91, "ordinal_position": 92}, {"identifier": "W52", "position": [5, 3], "step": 92, "ordinal_position": 93}, {"identifier": "L47", "position": [5, 2], "step": 93, "ordinal_position": 94}, {"identifier": "K29", "position": [5, 1], "step": 94, "ordinal_position": 95}, {"identifier": "V40", "position": [4, 1], "step": 95, "ordinal_position": 96}, {"identifier": "P96", "position": [3, 1], "step": 96, "ordinal_position": 97}, {"identifier": "S23", "position": [2, 1], "step": 97, "ordinal_position": 98}, {"identifier": "J21", "position": [1, 1], "step": 98, "ordinal_position": 99}, {"identifier": "V31", "position": [1, 2], "step": 99, "ordinal_position": 100}, {"identifier": "K72", "position": [1, 3], "step": 100, "ordinal_position": 101}, {"identifier": "X64", "position": [1, 4], "step": 101, "ordinal_position": 102}, {"identifier": "F35", "position": [1, 5], "step": 102, "ordinal_position": 103}, {"identifier": "J65", "position": [2, 5], "step": 103, "ordinal_position": 104}, {"identifier": "Z76", "position": [3, 5], "step": 104, "ordinal_position": 105}, {"identifier": "O59", "position": [3, 4], "step": 105, "ordinal_position": 106}, {"identifier": "G54", "position": [3, 3], "step": 106, "ordinal_position": 107}, {"identifier": "Y71", "position": [4, 3], "step": 107, "ordinal_position": 108}, {"identifier": "W52", "position": [5, 3], "step": 108, "ordinal_position": 109}, {"identifier": "L47", "position": [5, 2], "step": 109, "ordinal_position": 110}, {"identifier": "K29", "position": [5, 1], "step": 110, "ordinal_position": 111}, {"identifier": "V40", "position": [4, 1], "step": 111, "ordinal_position": 112}, {"identifier": "P96", "position": [3, 1], "step": 112, "ordinal_position": 113}, {"identifier": "S23", "position": [2, 1], "step": 113, "ordinal_position": 114}, {"identifier": "J21", "position": [1, 1], "step": 114, "ordinal_position": 115}, {"identifier": "V31", "position": [1, 2], "step": 115, "ordinal_position": 116}, {"identifier": "K72", "position": [1, 3], "step": 116, "ordinal_position": 117}, {"identifier": "X64", "position": [1, 4], "step": 117, "ordinal_position": 118}, {"identifier": "F35", "position": [1, 5], "step": 118, "ordinal_position": 119}, {"identifier": "J65", "position": [2, 5], "step": 119, "ordinal_position": 120}, {"identifier": "Z76", "position": [3, 5], "step": 120, "ordinal_position": 121}, {"identifier": "O59", "position": [3, 4], "step": 121, "ordinal_position": 122}, {"identifier": "G54", "position": [3, 3], "step": 122, "ordinal_position": 123}, {"identifier": "Y71", "position": [4, 3], "step": 123, "ordinal_position": 124}, {"identifier": "W52", "position": [5, 3], "step": 124, "ordinal_position": 125}, {"identifier": "L47", "position": [5, 2], "step": 125, "ordinal_position": 126}, {"identifier": "K29", "position": [5, 1], "step": 126, "ordinal_position": 127}, {"identifier": "V40", "position": [4, 1], "step": 127, "ordinal_position": 128}, {"identifier": "P96", "position": [3, 1], "step": 128, "ordinal_position": 129}, {"identifier": "S23", "position": [2, 1], "step": 129, "ordinal_position": 130}, {"identifier": "J21", "position": [1, 1], "step": 130, "ordinal_position": 131}, {"identifier": "V31", "position": [1, 2], "step": 131, "ordinal_position": 132}, {"identifier": "K72", "position": [1, 3], "step": 132, "ordinal_position": 133}, {"identifier": "X64", "position": [1, 4], "step": 133, "ordinal_position": 134}, {"identifier": "F35", "position": [1, 5], "step": 134, "ordinal_position": 135}, {"identifier": "J65", "position": [2, 5], "step": 135, "ordinal_position": 136}, {"identifier": "Z76", "position": [3, 5], "step": 136, "ordinal_position": 137}, {"identifier": "O59", "position": [3, 4], "step": 137, "ordinal_position": 138}, {"identifier": "G54", "position": [3, 3], "step": 138, "ordinal_position": 139}, {"identifier": "Y71", "position": [4, 3], "step": 139, "ordinal_position": 140}, {"identifier": "W52", "position": [5, 3], "step": 140, "ordinal_position": 141}, {"identifier": "L47", "position": [5, 2], "step": 141, "ordinal_position": 142}, {"identifier": "K29", "position": [5, 1], "step": 142, "ordinal_position": 143}, {"identifier": "V40", "position": [4, 1], "step": 143, "ordinal_position": 144}, {"identifier": "P96", "position": [3, 1], "step": 144, "ordinal_position": 145}, {"identifier": "S23", "position": [2, 1], "step": 145, "ordinal_position": 146}, {"identifier": "J21", "position": [1, 1], "step": 146, "ordinal_position": 147}, {"identifier": "V31", "position": [1, 2], "step": 147, "ordinal_position": 148}, {"identifier": "K72", "position": [1, 3], "step": 148, "ordinal_position": 149}, {"identifier": "X64", "position": [1, 4], "step": 149, "ordinal_position": 150}, {"identifier": "F35", "position": [1, 5], "step": 150, "ordinal_position": 151}, {"identifier": "J65", "position": [2, 5], "step": 151, "ordinal_position": 152}, {"identifier": "Z76", "position": [3, 5], "step": 152, "ordinal_position": 153}, {"identifier": "O59", "position": [3, 4], "step": 153, "ordinal_position": 154}, {"identifier": "G54", "position": [3, 3], "step": 154, "ordinal_position": 155}, {"identifier": "Y71", "position": [4, 3], "step": 155, "ordinal_position": 156}, {"identifier": "W52", "position": [5, 3], "step": 156, "ordinal_position": 157}, {"identifier": "L47", "position": [5, 2], "step": 157, "ordinal_position": 158}, {"identifier": "K29", "position": [5, 1], "step": 158, "ordinal_position": 159}, {"identifier": "V40", "position": [4, 1], "step": 159, "ordinal_position": 160}, {"identifier": "P96", "position": [3, 1], "step": 160, "ordinal_position": 161}, {"identifier": "S23", "position": [2, 1], "step": 161, "ordinal_position": 162}, {"identifier": "J21", "position": [1, 1], "step": 162, "ordinal_position": 163}, {"identifier": "V31", "position": [1, 2], "step": 163, "ordinal_position": 164}, {"identifier": "K72", "position": [1, 3], "step": 164, "ordinal_position": 165}, {"identifier": "X64", "position": [1, 4], "step": 165, "ordinal_position": 166}, {"identifier": "F35", "position": [1, 5], "step": 166, "ordinal_position": 167}, {"identifier": "J65", "position": [2, 5], "step": 167, "ordinal_position": 168}, {"identifier": "Z76", "position": [3, 5], "step": 168, "ordinal_position": 169}, {"identifier": "O59", "position": [3, 4], "step": 169, "ordinal_position": 170}, {"identifier": "G54", "position": [3, 3], "step": 170, "ordinal_position": 171}, {"identifier": "Y71", "position": [4, 3], "step": 171, "ordinal_position": 172}, {"identifier": "W52", "position": [5, 3], "step": 172, "ordinal_position": 173}, {"identifier": "L47", "position": [5, 2], "step": 173, "ordinal_position": 174}, {"identifier": "K29", "position": [5, 1], "step": 174, "ordinal_position": 175}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 175, "direction": "left", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_013.json"}} {"qa_id": "5463a0ae0ed145fb974f6a12114e94f8", "image_id": "L3-MazeLoop-test_11x11_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D00, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 160th position in this traversal?", "start_object_id": "D00", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [160], "ordinal_strings": ["160th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "K39", "traversal_path": [{"identifier": "D00", "position": [1, 7], "step": 0, "ordinal_position": 1}, {"identifier": "Q93", "position": [2, 7], "step": 1, "ordinal_position": 2}, {"identifier": "S81", "position": [3, 7], "step": 2, "ordinal_position": 3}, {"identifier": "H34", "position": [4, 7], "step": 3, "ordinal_position": 4}, {"identifier": "P00", "position": [5, 7], "step": 4, "ordinal_position": 5}, {"identifier": "R62", "position": [5, 6], "step": 5, "ordinal_position": 6}, {"identifier": "R37", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "U39", "position": [6, 5], "step": 7, "ordinal_position": 8}, {"identifier": "H23", "position": [7, 5], "step": 8, "ordinal_position": 9}, {"identifier": "P20", "position": [7, 6], "step": 9, "ordinal_position": 10}, {"identifier": "S99", "position": [7, 7], "step": 10, "ordinal_position": 11}, {"identifier": "A08", "position": [8, 7], "step": 11, "ordinal_position": 12}, {"identifier": "F80", "position": [9, 7], "step": 12, "ordinal_position": 13}, {"identifier": "Z28", "position": [9, 8], "step": 13, "ordinal_position": 14}, {"identifier": "M01", "position": [9, 9], "step": 14, "ordinal_position": 15}, {"identifier": "K39", "position": [8, 9], "step": 15, "ordinal_position": 16}, {"identifier": "I67", "position": [7, 9], "step": 16, "ordinal_position": 17}, {"identifier": "F36", "position": [6, 9], "step": 17, "ordinal_position": 18}, {"identifier": "I31", "position": [5, 9], "step": 18, "ordinal_position": 19}, {"identifier": "Z82", "position": [4, 9], "step": 19, "ordinal_position": 20}, {"identifier": "P35", "position": [3, 9], "step": 20, "ordinal_position": 21}, {"identifier": "X15", "position": [2, 9], "step": 21, "ordinal_position": 22}, {"identifier": "I29", "position": [1, 9], "step": 22, "ordinal_position": 23}, {"identifier": "J73", "position": [1, 8], "step": 23, "ordinal_position": 24}, {"identifier": "D00", "position": [1, 7], "step": 24, "ordinal_position": 25}, {"identifier": "Q93", "position": [2, 7], "step": 25, "ordinal_position": 26}, {"identifier": "S81", "position": [3, 7], "step": 26, "ordinal_position": 27}, {"identifier": "H34", "position": [4, 7], "step": 27, "ordinal_position": 28}, {"identifier": "P00", "position": [5, 7], "step": 28, "ordinal_position": 29}, {"identifier": "R62", "position": [5, 6], "step": 29, "ordinal_position": 30}, {"identifier": "R37", "position": [5, 5], "step": 30, "ordinal_position": 31}, {"identifier": "U39", "position": [6, 5], "step": 31, "ordinal_position": 32}, {"identifier": "H23", "position": [7, 5], "step": 32, "ordinal_position": 33}, {"identifier": "P20", "position": [7, 6], "step": 33, "ordinal_position": 34}, {"identifier": "S99", "position": [7, 7], "step": 34, "ordinal_position": 35}, {"identifier": "A08", "position": [8, 7], "step": 35, "ordinal_position": 36}, {"identifier": "F80", "position": [9, 7], "step": 36, "ordinal_position": 37}, {"identifier": "Z28", "position": [9, 8], "step": 37, "ordinal_position": 38}, {"identifier": "M01", "position": [9, 9], "step": 38, "ordinal_position": 39}, {"identifier": "K39", "position": [8, 9], "step": 39, "ordinal_position": 40}, {"identifier": "I67", "position": [7, 9], "step": 40, "ordinal_position": 41}, {"identifier": "F36", "position": [6, 9], "step": 41, "ordinal_position": 42}, {"identifier": "I31", "position": [5, 9], "step": 42, "ordinal_position": 43}, {"identifier": "Z82", "position": [4, 9], "step": 43, "ordinal_position": 44}, {"identifier": "P35", "position": [3, 9], "step": 44, "ordinal_position": 45}, {"identifier": "X15", "position": [2, 9], "step": 45, "ordinal_position": 46}, {"identifier": "I29", "position": [1, 9], "step": 46, "ordinal_position": 47}, {"identifier": "J73", "position": [1, 8], "step": 47, "ordinal_position": 48}, {"identifier": "D00", "position": [1, 7], "step": 48, "ordinal_position": 49}, {"identifier": "Q93", "position": [2, 7], "step": 49, "ordinal_position": 50}, {"identifier": "S81", "position": [3, 7], "step": 50, "ordinal_position": 51}, {"identifier": "H34", "position": [4, 7], "step": 51, "ordinal_position": 52}, {"identifier": "P00", "position": [5, 7], "step": 52, "ordinal_position": 53}, {"identifier": "R62", "position": [5, 6], "step": 53, "ordinal_position": 54}, {"identifier": "R37", "position": [5, 5], "step": 54, "ordinal_position": 55}, {"identifier": "U39", "position": [6, 5], "step": 55, "ordinal_position": 56}, {"identifier": "H23", "position": [7, 5], "step": 56, "ordinal_position": 57}, {"identifier": "P20", "position": [7, 6], "step": 57, "ordinal_position": 58}, {"identifier": "S99", "position": [7, 7], "step": 58, "ordinal_position": 59}, {"identifier": "A08", "position": [8, 7], "step": 59, "ordinal_position": 60}, {"identifier": "F80", "position": [9, 7], "step": 60, "ordinal_position": 61}, {"identifier": "Z28", "position": [9, 8], "step": 61, "ordinal_position": 62}, {"identifier": "M01", "position": [9, 9], "step": 62, "ordinal_position": 63}, {"identifier": "K39", "position": [8, 9], "step": 63, "ordinal_position": 64}, {"identifier": "I67", "position": [7, 9], "step": 64, "ordinal_position": 65}, {"identifier": "F36", "position": [6, 9], "step": 65, "ordinal_position": 66}, {"identifier": "I31", "position": [5, 9], "step": 66, "ordinal_position": 67}, {"identifier": "Z82", "position": [4, 9], "step": 67, "ordinal_position": 68}, {"identifier": "P35", "position": [3, 9], "step": 68, "ordinal_position": 69}, {"identifier": "X15", "position": [2, 9], "step": 69, "ordinal_position": 70}, {"identifier": "I29", "position": [1, 9], "step": 70, "ordinal_position": 71}, {"identifier": "J73", "position": [1, 8], "step": 71, "ordinal_position": 72}, {"identifier": "D00", "position": [1, 7], "step": 72, "ordinal_position": 73}, {"identifier": "Q93", "position": [2, 7], "step": 73, "ordinal_position": 74}, {"identifier": "S81", "position": [3, 7], "step": 74, "ordinal_position": 75}, {"identifier": "H34", "position": [4, 7], "step": 75, "ordinal_position": 76}, {"identifier": "P00", "position": [5, 7], "step": 76, "ordinal_position": 77}, {"identifier": "R62", "position": [5, 6], "step": 77, "ordinal_position": 78}, {"identifier": "R37", "position": [5, 5], "step": 78, "ordinal_position": 79}, {"identifier": "U39", "position": [6, 5], "step": 79, "ordinal_position": 80}, {"identifier": "H23", "position": [7, 5], "step": 80, "ordinal_position": 81}, {"identifier": "P20", "position": [7, 6], "step": 81, "ordinal_position": 82}, {"identifier": "S99", "position": [7, 7], "step": 82, "ordinal_position": 83}, {"identifier": "A08", "position": [8, 7], "step": 83, "ordinal_position": 84}, {"identifier": "F80", "position": [9, 7], "step": 84, "ordinal_position": 85}, {"identifier": "Z28", "position": [9, 8], "step": 85, "ordinal_position": 86}, {"identifier": "M01", "position": [9, 9], "step": 86, "ordinal_position": 87}, {"identifier": "K39", "position": [8, 9], "step": 87, "ordinal_position": 88}, {"identifier": "I67", "position": [7, 9], "step": 88, "ordinal_position": 89}, {"identifier": "F36", "position": [6, 9], "step": 89, "ordinal_position": 90}, {"identifier": "I31", "position": [5, 9], "step": 90, "ordinal_position": 91}, {"identifier": "Z82", "position": [4, 9], "step": 91, "ordinal_position": 92}, {"identifier": "P35", "position": [3, 9], "step": 92, "ordinal_position": 93}, {"identifier": "X15", "position": [2, 9], "step": 93, "ordinal_position": 94}, {"identifier": "I29", "position": [1, 9], "step": 94, "ordinal_position": 95}, {"identifier": "J73", "position": [1, 8], "step": 95, "ordinal_position": 96}, {"identifier": "D00", "position": [1, 7], "step": 96, "ordinal_position": 97}, {"identifier": "Q93", "position": [2, 7], "step": 97, "ordinal_position": 98}, {"identifier": "S81", "position": [3, 7], "step": 98, "ordinal_position": 99}, {"identifier": "H34", "position": [4, 7], "step": 99, "ordinal_position": 100}, {"identifier": "P00", "position": [5, 7], "step": 100, "ordinal_position": 101}, {"identifier": "R62", "position": [5, 6], "step": 101, "ordinal_position": 102}, {"identifier": "R37", "position": [5, 5], "step": 102, "ordinal_position": 103}, {"identifier": "U39", "position": [6, 5], "step": 103, "ordinal_position": 104}, {"identifier": "H23", "position": [7, 5], "step": 104, "ordinal_position": 105}, {"identifier": "P20", "position": [7, 6], "step": 105, "ordinal_position": 106}, {"identifier": "S99", "position": [7, 7], "step": 106, "ordinal_position": 107}, {"identifier": "A08", "position": [8, 7], "step": 107, "ordinal_position": 108}, {"identifier": "F80", "position": [9, 7], "step": 108, "ordinal_position": 109}, {"identifier": "Z28", "position": [9, 8], "step": 109, "ordinal_position": 110}, {"identifier": "M01", "position": [9, 9], "step": 110, "ordinal_position": 111}, {"identifier": "K39", "position": [8, 9], "step": 111, "ordinal_position": 112}, {"identifier": "I67", "position": [7, 9], "step": 112, "ordinal_position": 113}, {"identifier": "F36", "position": [6, 9], "step": 113, "ordinal_position": 114}, {"identifier": "I31", "position": [5, 9], "step": 114, "ordinal_position": 115}, {"identifier": "Z82", "position": [4, 9], "step": 115, "ordinal_position": 116}, {"identifier": "P35", "position": [3, 9], "step": 116, "ordinal_position": 117}, {"identifier": "X15", "position": [2, 9], "step": 117, "ordinal_position": 118}, {"identifier": "I29", "position": [1, 9], "step": 118, "ordinal_position": 119}, {"identifier": "J73", "position": [1, 8], "step": 119, "ordinal_position": 120}, {"identifier": "D00", "position": [1, 7], "step": 120, "ordinal_position": 121}, {"identifier": "Q93", "position": [2, 7], "step": 121, "ordinal_position": 122}, {"identifier": "S81", "position": [3, 7], "step": 122, "ordinal_position": 123}, {"identifier": "H34", "position": [4, 7], "step": 123, "ordinal_position": 124}, {"identifier": "P00", "position": [5, 7], "step": 124, "ordinal_position": 125}, {"identifier": "R62", "position": [5, 6], "step": 125, "ordinal_position": 126}, {"identifier": "R37", "position": [5, 5], "step": 126, "ordinal_position": 127}, {"identifier": "U39", "position": [6, 5], "step": 127, "ordinal_position": 128}, {"identifier": "H23", "position": [7, 5], "step": 128, "ordinal_position": 129}, {"identifier": "P20", "position": [7, 6], "step": 129, "ordinal_position": 130}, {"identifier": "S99", "position": [7, 7], "step": 130, "ordinal_position": 131}, {"identifier": "A08", "position": [8, 7], "step": 131, "ordinal_position": 132}, {"identifier": "F80", "position": [9, 7], "step": 132, "ordinal_position": 133}, {"identifier": "Z28", "position": [9, 8], "step": 133, "ordinal_position": 134}, {"identifier": "M01", "position": [9, 9], "step": 134, "ordinal_position": 135}, {"identifier": "K39", "position": [8, 9], "step": 135, "ordinal_position": 136}, {"identifier": "I67", "position": [7, 9], "step": 136, "ordinal_position": 137}, {"identifier": "F36", "position": [6, 9], "step": 137, "ordinal_position": 138}, {"identifier": "I31", "position": [5, 9], "step": 138, "ordinal_position": 139}, {"identifier": "Z82", "position": [4, 9], "step": 139, "ordinal_position": 140}, {"identifier": "P35", "position": [3, 9], "step": 140, "ordinal_position": 141}, {"identifier": "X15", "position": [2, 9], "step": 141, "ordinal_position": 142}, {"identifier": "I29", "position": [1, 9], "step": 142, "ordinal_position": 143}, {"identifier": "J73", "position": [1, 8], "step": 143, "ordinal_position": 144}, {"identifier": "D00", "position": [1, 7], "step": 144, "ordinal_position": 145}, {"identifier": "Q93", "position": [2, 7], "step": 145, "ordinal_position": 146}, {"identifier": "S81", "position": [3, 7], "step": 146, "ordinal_position": 147}, {"identifier": "H34", "position": [4, 7], "step": 147, "ordinal_position": 148}, {"identifier": "P00", "position": [5, 7], "step": 148, "ordinal_position": 149}, {"identifier": "R62", "position": [5, 6], "step": 149, "ordinal_position": 150}, {"identifier": "R37", "position": [5, 5], "step": 150, "ordinal_position": 151}, {"identifier": "U39", "position": [6, 5], "step": 151, "ordinal_position": 152}, {"identifier": "H23", "position": [7, 5], "step": 152, "ordinal_position": 153}, {"identifier": "P20", "position": [7, 6], "step": 153, "ordinal_position": 154}, {"identifier": "S99", "position": [7, 7], "step": 154, "ordinal_position": 155}, {"identifier": "A08", "position": [8, 7], "step": 155, "ordinal_position": 156}, {"identifier": "F80", "position": [9, 7], "step": 156, "ordinal_position": 157}, {"identifier": "Z28", "position": [9, 8], "step": 157, "ordinal_position": 158}, {"identifier": "M01", "position": [9, 9], "step": 158, "ordinal_position": 159}, {"identifier": "K39", "position": [8, 9], "step": 159, "ordinal_position": 160}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 160, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_013.json"}} {"qa_id": "83826002fec24657adb221831847ea9a", "image_id": "L3-MazeLoop-test_11x11_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H23, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 287th position in this traversal?", "start_object_id": "H23", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [287], "ordinal_strings": ["287th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "R37", "traversal_path": [{"identifier": "H23", "position": [7, 5], "step": 0, "ordinal_position": 1}, {"identifier": "P20", "position": [7, 6], "step": 1, "ordinal_position": 2}, {"identifier": "S99", "position": [7, 7], "step": 2, "ordinal_position": 3}, {"identifier": "A08", "position": [8, 7], "step": 3, "ordinal_position": 4}, {"identifier": "F80", "position": [9, 7], "step": 4, "ordinal_position": 5}, {"identifier": "Z28", "position": [9, 8], "step": 5, "ordinal_position": 6}, {"identifier": "M01", "position": [9, 9], "step": 6, "ordinal_position": 7}, {"identifier": "K39", "position": [8, 9], "step": 7, "ordinal_position": 8}, {"identifier": "I67", "position": [7, 9], "step": 8, "ordinal_position": 9}, {"identifier": "F36", "position": [6, 9], "step": 9, "ordinal_position": 10}, {"identifier": "I31", "position": [5, 9], "step": 10, "ordinal_position": 11}, {"identifier": "Z82", "position": [4, 9], "step": 11, "ordinal_position": 12}, {"identifier": "P35", "position": [3, 9], "step": 12, "ordinal_position": 13}, {"identifier": "X15", "position": [2, 9], "step": 13, "ordinal_position": 14}, {"identifier": "I29", "position": [1, 9], "step": 14, "ordinal_position": 15}, {"identifier": "J73", "position": [1, 8], "step": 15, "ordinal_position": 16}, {"identifier": "D00", "position": [1, 7], "step": 16, "ordinal_position": 17}, {"identifier": "Q93", "position": [2, 7], "step": 17, "ordinal_position": 18}, {"identifier": "S81", "position": [3, 7], "step": 18, "ordinal_position": 19}, {"identifier": "H34", "position": [4, 7], "step": 19, "ordinal_position": 20}, {"identifier": "P00", "position": [5, 7], "step": 20, "ordinal_position": 21}, {"identifier": "R62", "position": [5, 6], "step": 21, "ordinal_position": 22}, {"identifier": "R37", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "U39", "position": [6, 5], "step": 23, "ordinal_position": 24}, {"identifier": "H23", "position": [7, 5], "step": 24, "ordinal_position": 25}, {"identifier": "P20", "position": [7, 6], "step": 25, "ordinal_position": 26}, {"identifier": "S99", "position": [7, 7], "step": 26, "ordinal_position": 27}, {"identifier": "A08", "position": [8, 7], "step": 27, "ordinal_position": 28}, {"identifier": "F80", "position": [9, 7], "step": 28, "ordinal_position": 29}, {"identifier": "Z28", "position": [9, 8], "step": 29, "ordinal_position": 30}, {"identifier": "M01", "position": [9, 9], "step": 30, "ordinal_position": 31}, {"identifier": "K39", "position": [8, 9], "step": 31, "ordinal_position": 32}, {"identifier": "I67", "position": [7, 9], "step": 32, "ordinal_position": 33}, {"identifier": "F36", "position": [6, 9], "step": 33, "ordinal_position": 34}, {"identifier": "I31", "position": [5, 9], "step": 34, "ordinal_position": 35}, {"identifier": "Z82", "position": [4, 9], "step": 35, "ordinal_position": 36}, {"identifier": "P35", "position": [3, 9], "step": 36, "ordinal_position": 37}, {"identifier": "X15", "position": [2, 9], "step": 37, "ordinal_position": 38}, {"identifier": "I29", "position": [1, 9], "step": 38, "ordinal_position": 39}, {"identifier": "J73", "position": [1, 8], "step": 39, "ordinal_position": 40}, {"identifier": "D00", "position": [1, 7], "step": 40, "ordinal_position": 41}, {"identifier": "Q93", "position": [2, 7], "step": 41, "ordinal_position": 42}, {"identifier": "S81", "position": [3, 7], "step": 42, "ordinal_position": 43}, {"identifier": "H34", "position": [4, 7], "step": 43, "ordinal_position": 44}, {"identifier": "P00", "position": [5, 7], "step": 44, "ordinal_position": 45}, {"identifier": "R62", "position": [5, 6], "step": 45, "ordinal_position": 46}, {"identifier": "R37", "position": [5, 5], "step": 46, "ordinal_position": 47}, {"identifier": "U39", "position": [6, 5], "step": 47, "ordinal_position": 48}, {"identifier": "H23", "position": [7, 5], "step": 48, "ordinal_position": 49}, {"identifier": "P20", "position": [7, 6], "step": 49, "ordinal_position": 50}, {"identifier": "S99", "position": [7, 7], "step": 50, "ordinal_position": 51}, {"identifier": "A08", "position": [8, 7], "step": 51, "ordinal_position": 52}, {"identifier": "F80", "position": [9, 7], "step": 52, "ordinal_position": 53}, {"identifier": "Z28", "position": [9, 8], "step": 53, "ordinal_position": 54}, {"identifier": "M01", "position": [9, 9], "step": 54, "ordinal_position": 55}, {"identifier": "K39", "position": [8, 9], "step": 55, "ordinal_position": 56}, {"identifier": "I67", "position": [7, 9], "step": 56, "ordinal_position": 57}, {"identifier": "F36", "position": [6, 9], "step": 57, "ordinal_position": 58}, {"identifier": "I31", "position": [5, 9], "step": 58, "ordinal_position": 59}, {"identifier": "Z82", "position": [4, 9], "step": 59, "ordinal_position": 60}, {"identifier": "P35", "position": [3, 9], "step": 60, "ordinal_position": 61}, {"identifier": "X15", "position": [2, 9], "step": 61, "ordinal_position": 62}, {"identifier": "I29", "position": [1, 9], "step": 62, "ordinal_position": 63}, {"identifier": "J73", "position": [1, 8], "step": 63, "ordinal_position": 64}, {"identifier": "D00", "position": [1, 7], "step": 64, "ordinal_position": 65}, {"identifier": "Q93", "position": [2, 7], "step": 65, "ordinal_position": 66}, {"identifier": "S81", "position": [3, 7], "step": 66, "ordinal_position": 67}, {"identifier": "H34", "position": [4, 7], "step": 67, "ordinal_position": 68}, {"identifier": "P00", "position": [5, 7], "step": 68, "ordinal_position": 69}, {"identifier": "R62", "position": [5, 6], "step": 69, "ordinal_position": 70}, {"identifier": "R37", "position": [5, 5], "step": 70, "ordinal_position": 71}, {"identifier": "U39", "position": [6, 5], "step": 71, "ordinal_position": 72}, {"identifier": "H23", "position": [7, 5], "step": 72, "ordinal_position": 73}, {"identifier": "P20", "position": [7, 6], "step": 73, "ordinal_position": 74}, {"identifier": "S99", "position": [7, 7], "step": 74, "ordinal_position": 75}, {"identifier": "A08", "position": [8, 7], "step": 75, "ordinal_position": 76}, {"identifier": "F80", "position": [9, 7], "step": 76, "ordinal_position": 77}, {"identifier": "Z28", "position": [9, 8], "step": 77, "ordinal_position": 78}, {"identifier": "M01", "position": [9, 9], "step": 78, "ordinal_position": 79}, {"identifier": "K39", "position": [8, 9], "step": 79, "ordinal_position": 80}, {"identifier": "I67", "position": [7, 9], "step": 80, "ordinal_position": 81}, {"identifier": "F36", "position": [6, 9], "step": 81, "ordinal_position": 82}, {"identifier": "I31", "position": [5, 9], "step": 82, "ordinal_position": 83}, {"identifier": "Z82", "position": [4, 9], "step": 83, "ordinal_position": 84}, {"identifier": "P35", "position": [3, 9], "step": 84, "ordinal_position": 85}, {"identifier": "X15", "position": [2, 9], "step": 85, "ordinal_position": 86}, {"identifier": "I29", "position": [1, 9], "step": 86, "ordinal_position": 87}, {"identifier": "J73", "position": [1, 8], "step": 87, "ordinal_position": 88}, {"identifier": "D00", "position": [1, 7], "step": 88, "ordinal_position": 89}, {"identifier": "Q93", "position": [2, 7], "step": 89, "ordinal_position": 90}, {"identifier": "S81", "position": [3, 7], "step": 90, "ordinal_position": 91}, {"identifier": "H34", "position": [4, 7], "step": 91, "ordinal_position": 92}, {"identifier": "P00", "position": [5, 7], "step": 92, "ordinal_position": 93}, {"identifier": "R62", 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"ordinal_position": 106}, {"identifier": "I31", "position": [5, 9], "step": 106, "ordinal_position": 107}, {"identifier": "Z82", "position": [4, 9], "step": 107, "ordinal_position": 108}, {"identifier": "P35", "position": [3, 9], "step": 108, "ordinal_position": 109}, {"identifier": "X15", "position": [2, 9], "step": 109, "ordinal_position": 110}, {"identifier": "I29", "position": [1, 9], "step": 110, "ordinal_position": 111}, {"identifier": "J73", "position": [1, 8], "step": 111, "ordinal_position": 112}, {"identifier": "D00", "position": [1, 7], "step": 112, "ordinal_position": 113}, {"identifier": "Q93", "position": [2, 7], "step": 113, "ordinal_position": 114}, {"identifier": "S81", "position": [3, 7], "step": 114, "ordinal_position": 115}, {"identifier": "H34", "position": [4, 7], "step": 115, "ordinal_position": 116}, {"identifier": "P00", "position": [5, 7], "step": 116, "ordinal_position": 117}, {"identifier": "R62", "position": [5, 6], "step": 117, "ordinal_position": 118}, 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155}, {"identifier": "Z82", "position": [4, 9], "step": 155, "ordinal_position": 156}, {"identifier": "P35", "position": [3, 9], "step": 156, "ordinal_position": 157}, {"identifier": "X15", "position": [2, 9], "step": 157, "ordinal_position": 158}, {"identifier": "I29", "position": [1, 9], "step": 158, "ordinal_position": 159}, {"identifier": "J73", "position": [1, 8], "step": 159, "ordinal_position": 160}, {"identifier": "D00", "position": [1, 7], "step": 160, "ordinal_position": 161}, {"identifier": "Q93", "position": [2, 7], "step": 161, "ordinal_position": 162}, {"identifier": "S81", "position": [3, 7], "step": 162, "ordinal_position": 163}, {"identifier": "H34", "position": [4, 7], "step": 163, "ordinal_position": 164}, {"identifier": "P00", "position": [5, 7], "step": 164, "ordinal_position": 165}, {"identifier": "R62", "position": [5, 6], "step": 165, "ordinal_position": 166}, {"identifier": "R37", "position": [5, 5], "step": 166, "ordinal_position": 167}, {"identifier": "U39", "position": [6, 5], "step": 167, "ordinal_position": 168}, {"identifier": "H23", "position": [7, 5], "step": 168, "ordinal_position": 169}, {"identifier": "P20", "position": [7, 6], "step": 169, "ordinal_position": 170}, {"identifier": "S99", "position": [7, 7], "step": 170, "ordinal_position": 171}, {"identifier": "A08", "position": [8, 7], "step": 171, "ordinal_position": 172}, {"identifier": "F80", "position": [9, 7], "step": 172, "ordinal_position": 173}, {"identifier": "Z28", "position": [9, 8], "step": 173, "ordinal_position": 174}, {"identifier": "M01", "position": [9, 9], "step": 174, "ordinal_position": 175}, {"identifier": "K39", "position": [8, 9], "step": 175, "ordinal_position": 176}, {"identifier": "I67", "position": [7, 9], "step": 176, "ordinal_position": 177}, {"identifier": "F36", "position": [6, 9], "step": 177, "ordinal_position": 178}, {"identifier": "I31", "position": [5, 9], "step": 178, "ordinal_position": 179}, {"identifier": "Z82", "position": [4, 9], "step": 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192}, {"identifier": "H23", "position": [7, 5], "step": 192, "ordinal_position": 193}, {"identifier": "P20", "position": [7, 6], "step": 193, "ordinal_position": 194}, {"identifier": "S99", "position": [7, 7], "step": 194, "ordinal_position": 195}, {"identifier": "A08", "position": [8, 7], "step": 195, "ordinal_position": 196}, {"identifier": "F80", "position": [9, 7], "step": 196, "ordinal_position": 197}, {"identifier": "Z28", "position": [9, 8], "step": 197, "ordinal_position": 198}, {"identifier": "M01", "position": [9, 9], "step": 198, "ordinal_position": 199}, {"identifier": "K39", "position": [8, 9], "step": 199, "ordinal_position": 200}, {"identifier": "I67", "position": [7, 9], "step": 200, "ordinal_position": 201}, {"identifier": "F36", "position": [6, 9], "step": 201, "ordinal_position": 202}, {"identifier": "I31", "position": [5, 9], "step": 202, "ordinal_position": 203}, {"identifier": "Z82", "position": [4, 9], "step": 203, "ordinal_position": 204}, {"identifier": "P35", "position": [3, 9], "step": 204, "ordinal_position": 205}, {"identifier": "X15", "position": [2, 9], "step": 205, "ordinal_position": 206}, {"identifier": "I29", "position": [1, 9], "step": 206, "ordinal_position": 207}, {"identifier": "J73", "position": [1, 8], "step": 207, "ordinal_position": 208}, {"identifier": "D00", "position": [1, 7], "step": 208, "ordinal_position": 209}, {"identifier": "Q93", "position": [2, 7], "step": 209, "ordinal_position": 210}, {"identifier": "S81", "position": [3, 7], "step": 210, "ordinal_position": 211}, {"identifier": "H34", "position": [4, 7], "step": 211, "ordinal_position": 212}, {"identifier": "P00", "position": [5, 7], "step": 212, "ordinal_position": 213}, {"identifier": "R62", "position": [5, 6], "step": 213, "ordinal_position": 214}, {"identifier": "R37", "position": [5, 5], "step": 214, "ordinal_position": 215}, {"identifier": "U39", "position": [6, 5], "step": 215, "ordinal_position": 216}, {"identifier": "H23", "position": [7, 5], "step": 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229}, {"identifier": "X15", "position": [2, 9], "step": 229, "ordinal_position": 230}, {"identifier": "I29", "position": [1, 9], "step": 230, "ordinal_position": 231}, {"identifier": "J73", "position": [1, 8], "step": 231, "ordinal_position": 232}, {"identifier": "D00", "position": [1, 7], "step": 232, "ordinal_position": 233}, {"identifier": "Q93", "position": [2, 7], "step": 233, "ordinal_position": 234}, {"identifier": "S81", "position": [3, 7], "step": 234, "ordinal_position": 235}, {"identifier": "H34", "position": [4, 7], "step": 235, "ordinal_position": 236}, {"identifier": "P00", "position": [5, 7], "step": 236, "ordinal_position": 237}, {"identifier": "R62", "position": [5, 6], "step": 237, "ordinal_position": 238}, {"identifier": "R37", "position": [5, 5], "step": 238, "ordinal_position": 239}, {"identifier": "U39", "position": [6, 5], "step": 239, "ordinal_position": 240}, {"identifier": "H23", "position": [7, 5], "step": 240, "ordinal_position": 241}, {"identifier": "P20", "position": [7, 6], "step": 241, "ordinal_position": 242}, {"identifier": "S99", "position": [7, 7], "step": 242, "ordinal_position": 243}, {"identifier": "A08", "position": [8, 7], "step": 243, "ordinal_position": 244}, {"identifier": "F80", "position": [9, 7], "step": 244, "ordinal_position": 245}, {"identifier": "Z28", "position": [9, 8], "step": 245, "ordinal_position": 246}, {"identifier": "M01", "position": [9, 9], "step": 246, "ordinal_position": 247}, {"identifier": "K39", "position": [8, 9], "step": 247, "ordinal_position": 248}, {"identifier": "I67", "position": [7, 9], "step": 248, "ordinal_position": 249}, {"identifier": "F36", "position": [6, 9], "step": 249, "ordinal_position": 250}, {"identifier": "I31", "position": [5, 9], "step": 250, "ordinal_position": 251}, {"identifier": "Z82", "position": [4, 9], "step": 251, "ordinal_position": 252}, {"identifier": "P35", "position": [3, 9], "step": 252, "ordinal_position": 253}, {"identifier": "X15", "position": [2, 9], "step": 253, "ordinal_position": 254}, {"identifier": "I29", "position": [1, 9], "step": 254, "ordinal_position": 255}, {"identifier": "J73", "position": [1, 8], "step": 255, "ordinal_position": 256}, {"identifier": "D00", "position": [1, 7], "step": 256, "ordinal_position": 257}, {"identifier": "Q93", "position": [2, 7], "step": 257, "ordinal_position": 258}, {"identifier": "S81", "position": [3, 7], "step": 258, "ordinal_position": 259}, {"identifier": "H34", "position": [4, 7], "step": 259, "ordinal_position": 260}, {"identifier": "P00", "position": [5, 7], "step": 260, "ordinal_position": 261}, {"identifier": "R62", "position": [5, 6], "step": 261, "ordinal_position": 262}, {"identifier": "R37", "position": [5, 5], "step": 262, "ordinal_position": 263}, {"identifier": "U39", "position": [6, 5], "step": 263, "ordinal_position": 264}, {"identifier": "H23", "position": [7, 5], "step": 264, "ordinal_position": 265}, {"identifier": "P20", "position": [7, 6], "step": 265, "ordinal_position": 266}, {"identifier": "S99", "position": [7, 7], "step": 266, "ordinal_position": 267}, {"identifier": "A08", "position": [8, 7], "step": 267, "ordinal_position": 268}, {"identifier": "F80", "position": [9, 7], "step": 268, "ordinal_position": 269}, {"identifier": "Z28", "position": [9, 8], "step": 269, "ordinal_position": 270}, {"identifier": "M01", "position": [9, 9], "step": 270, "ordinal_position": 271}, {"identifier": "K39", "position": [8, 9], "step": 271, "ordinal_position": 272}, {"identifier": "I67", "position": [7, 9], "step": 272, "ordinal_position": 273}, {"identifier": "F36", "position": [6, 9], "step": 273, "ordinal_position": 274}, {"identifier": "I31", "position": [5, 9], "step": 274, "ordinal_position": 275}, {"identifier": "Z82", "position": [4, 9], "step": 275, "ordinal_position": 276}, {"identifier": "P35", "position": [3, 9], "step": 276, "ordinal_position": 277}, {"identifier": "X15", "position": [2, 9], "step": 277, "ordinal_position": 278}, {"identifier": "I29", "position": [1, 9], "step": 278, "ordinal_position": 279}, {"identifier": "J73", "position": [1, 8], "step": 279, "ordinal_position": 280}, {"identifier": "D00", "position": [1, 7], "step": 280, "ordinal_position": 281}, {"identifier": "Q93", "position": [2, 7], "step": 281, "ordinal_position": 282}, {"identifier": "S81", "position": [3, 7], "step": 282, "ordinal_position": 283}, {"identifier": "H34", "position": [4, 7], "step": 283, "ordinal_position": 284}, {"identifier": "P00", "position": [5, 7], "step": 284, "ordinal_position": 285}, {"identifier": "R62", "position": [5, 6], "step": 285, "ordinal_position": 286}, {"identifier": "R37", "position": [5, 5], "step": 286, "ordinal_position": 287}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 287, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_013.json"}} {"qa_id": "194467c419224306817b5c21fc3dca00", "image_id": "L3-MazeLoop-test_11x11_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B76, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 112th position in this traversal?", "start_object_id": "B76", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [112], "ordinal_strings": ["112th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "I29", "traversal_path": [{"identifier": "B76", "position": [8, 3], "step": 0, "ordinal_position": 1}, {"identifier": "B74", "position": [9, 3], "step": 1, "ordinal_position": 2}, {"identifier": "U10", "position": [9, 4], "step": 2, "ordinal_position": 3}, {"identifier": "H96", "position": [9, 5], "step": 3, "ordinal_position": 4}, {"identifier": "V95", "position": [9, 6], "step": 4, "ordinal_position": 5}, {"identifier": "F80", "position": [9, 7], "step": 5, "ordinal_position": 6}, {"identifier": "Z28", "position": [9, 8], "step": 6, "ordinal_position": 7}, {"identifier": "M01", "position": [9, 9], "step": 7, "ordinal_position": 8}, {"identifier": "K39", "position": [8, 9], "step": 8, "ordinal_position": 9}, {"identifier": "I67", "position": [7, 9], "step": 9, "ordinal_position": 10}, {"identifier": "F36", "position": [6, 9], "step": 10, "ordinal_position": 11}, {"identifier": "I31", "position": [5, 9], "step": 11, "ordinal_position": 12}, {"identifier": "Z82", "position": [4, 9], "step": 12, "ordinal_position": 13}, {"identifier": "P35", "position": [3, 9], "step": 13, "ordinal_position": 14}, {"identifier": "X15", "position": [2, 9], "step": 14, "ordinal_position": 15}, {"identifier": "I29", "position": [1, 9], "step": 15, "ordinal_position": 16}, {"identifier": "J73", "position": [1, 8], "step": 16, "ordinal_position": 17}, {"identifier": "D00", "position": [1, 7], "step": 17, "ordinal_position": 18}, {"identifier": "Q93", "position": [2, 7], "step": 18, "ordinal_position": 19}, {"identifier": "S81", "position": [3, 7], "step": 19, "ordinal_position": 20}, {"identifier": "H34", "position": [4, 7], "step": 20, "ordinal_position": 21}, {"identifier": "P00", "position": [5, 7], "step": 21, "ordinal_position": 22}, {"identifier": "R62", "position": [5, 6], "step": 22, "ordinal_position": 23}, {"identifier": "R37", "position": [5, 5], "step": 23, "ordinal_position": 24}, {"identifier": "U39", "position": [6, 5], "step": 24, "ordinal_position": 25}, {"identifier": "H23", "position": [7, 5], "step": 25, "ordinal_position": 26}, {"identifier": "P20", "position": [7, 6], "step": 26, "ordinal_position": 27}, {"identifier": "S99", "position": [7, 7], "step": 27, "ordinal_position": 28}, {"identifier": "A08", "position": [8, 7], "step": 28, "ordinal_position": 29}, {"identifier": "F80", "position": [9, 7], "step": 29, "ordinal_position": 30}, {"identifier": "Z28", "position": [9, 8], "step": 30, "ordinal_position": 31}, {"identifier": "M01", "position": [9, 9], "step": 31, "ordinal_position": 32}, {"identifier": "K39", "position": [8, 9], "step": 32, "ordinal_position": 33}, {"identifier": "I67", "position": [7, 9], "step": 33, "ordinal_position": 34}, {"identifier": "F36", "position": [6, 9], "step": 34, "ordinal_position": 35}, {"identifier": "I31", "position": [5, 9], "step": 35, "ordinal_position": 36}, {"identifier": "Z82", "position": [4, 9], "step": 36, "ordinal_position": 37}, {"identifier": "P35", "position": [3, 9], "step": 37, "ordinal_position": 38}, {"identifier": "X15", "position": [2, 9], "step": 38, "ordinal_position": 39}, {"identifier": "I29", "position": [1, 9], "step": 39, "ordinal_position": 40}, {"identifier": "J73", "position": [1, 8], "step": 40, "ordinal_position": 41}, {"identifier": "D00", "position": [1, 7], "step": 41, "ordinal_position": 42}, {"identifier": "Q93", "position": [2, 7], "step": 42, "ordinal_position": 43}, {"identifier": "S81", "position": [3, 7], "step": 43, "ordinal_position": 44}, {"identifier": "H34", "position": [4, 7], "step": 44, "ordinal_position": 45}, {"identifier": "P00", "position": [5, 7], "step": 45, "ordinal_position": 46}, {"identifier": "R62", "position": [5, 6], "step": 46, "ordinal_position": 47}, {"identifier": "R37", "position": [5, 5], "step": 47, "ordinal_position": 48}, {"identifier": "U39", "position": [6, 5], "step": 48, "ordinal_position": 49}, {"identifier": "H23", "position": [7, 5], "step": 49, "ordinal_position": 50}, {"identifier": "P20", "position": [7, 6], "step": 50, "ordinal_position": 51}, {"identifier": "S99", "position": [7, 7], "step": 51, "ordinal_position": 52}, {"identifier": "A08", "position": [8, 7], "step": 52, "ordinal_position": 53}, {"identifier": "F80", "position": [9, 7], "step": 53, "ordinal_position": 54}, {"identifier": "Z28", "position": [9, 8], "step": 54, "ordinal_position": 55}, {"identifier": "M01", "position": [9, 9], "step": 55, "ordinal_position": 56}, {"identifier": "K39", "position": [8, 9], "step": 56, "ordinal_position": 57}, {"identifier": "I67", "position": [7, 9], "step": 57, "ordinal_position": 58}, {"identifier": "F36", "position": [6, 9], "step": 58, "ordinal_position": 59}, {"identifier": "I31", "position": [5, 9], "step": 59, "ordinal_position": 60}, {"identifier": "Z82", "position": [4, 9], "step": 60, "ordinal_position": 61}, {"identifier": "P35", "position": [3, 9], "step": 61, "ordinal_position": 62}, {"identifier": "X15", "position": [2, 9], "step": 62, "ordinal_position": 63}, {"identifier": "I29", "position": [1, 9], "step": 63, "ordinal_position": 64}, {"identifier": "J73", "position": [1, 8], "step": 64, "ordinal_position": 65}, {"identifier": "D00", "position": [1, 7], "step": 65, "ordinal_position": 66}, {"identifier": "Q93", "position": [2, 7], "step": 66, "ordinal_position": 67}, {"identifier": "S81", "position": [3, 7], "step": 67, "ordinal_position": 68}, {"identifier": "H34", "position": [4, 7], "step": 68, "ordinal_position": 69}, {"identifier": "P00", "position": [5, 7], "step": 69, "ordinal_position": 70}, {"identifier": "R62", "position": [5, 6], "step": 70, "ordinal_position": 71}, {"identifier": "R37", "position": [5, 5], "step": 71, "ordinal_position": 72}, {"identifier": "U39", "position": [6, 5], "step": 72, "ordinal_position": 73}, {"identifier": "H23", "position": [7, 5], "step": 73, "ordinal_position": 74}, {"identifier": "P20", "position": [7, 6], "step": 74, "ordinal_position": 75}, {"identifier": "S99", "position": [7, 7], "step": 75, "ordinal_position": 76}, {"identifier": "A08", "position": [8, 7], "step": 76, "ordinal_position": 77}, {"identifier": "F80", "position": [9, 7], "step": 77, "ordinal_position": 78}, {"identifier": "Z28", "position": [9, 8], "step": 78, "ordinal_position": 79}, {"identifier": "M01", "position": [9, 9], "step": 79, "ordinal_position": 80}, {"identifier": "K39", "position": [8, 9], "step": 80, "ordinal_position": 81}, {"identifier": "I67", "position": [7, 9], "step": 81, "ordinal_position": 82}, {"identifier": "F36", "position": [6, 9], "step": 82, "ordinal_position": 83}, {"identifier": "I31", "position": [5, 9], "step": 83, "ordinal_position": 84}, {"identifier": "Z82", "position": [4, 9], "step": 84, "ordinal_position": 85}, {"identifier": "P35", "position": [3, 9], "step": 85, "ordinal_position": 86}, {"identifier": "X15", "position": [2, 9], "step": 86, "ordinal_position": 87}, {"identifier": "I29", "position": [1, 9], "step": 87, "ordinal_position": 88}, {"identifier": "J73", "position": [1, 8], "step": 88, "ordinal_position": 89}, {"identifier": "D00", "position": [1, 7], "step": 89, "ordinal_position": 90}, {"identifier": "Q93", "position": [2, 7], "step": 90, "ordinal_position": 91}, {"identifier": "S81", "position": [3, 7], "step": 91, "ordinal_position": 92}, {"identifier": "H34", "position": [4, 7], "step": 92, "ordinal_position": 93}, {"identifier": "P00", "position": [5, 7], "step": 93, "ordinal_position": 94}, {"identifier": "R62", "position": [5, 6], "step": 94, "ordinal_position": 95}, {"identifier": "R37", "position": [5, 5], "step": 95, "ordinal_position": 96}, {"identifier": "U39", "position": [6, 5], "step": 96, "ordinal_position": 97}, {"identifier": "H23", "position": [7, 5], "step": 97, "ordinal_position": 98}, {"identifier": "P20", "position": [7, 6], "step": 98, "ordinal_position": 99}, {"identifier": "S99", "position": [7, 7], "step": 99, "ordinal_position": 100}, {"identifier": "A08", "position": [8, 7], "step": 100, "ordinal_position": 101}, {"identifier": "F80", "position": [9, 7], "step": 101, "ordinal_position": 102}, {"identifier": "Z28", "position": [9, 8], "step": 102, "ordinal_position": 103}, {"identifier": "M01", "position": [9, 9], "step": 103, "ordinal_position": 104}, {"identifier": "K39", "position": [8, 9], "step": 104, "ordinal_position": 105}, {"identifier": "I67", "position": [7, 9], "step": 105, "ordinal_position": 106}, {"identifier": "F36", "position": [6, 9], "step": 106, "ordinal_position": 107}, {"identifier": "I31", "position": [5, 9], "step": 107, "ordinal_position": 108}, {"identifier": "Z82", "position": [4, 9], "step": 108, "ordinal_position": 109}, {"identifier": "P35", "position": [3, 9], "step": 109, "ordinal_position": 110}, {"identifier": "X15", "position": [2, 9], "step": 110, "ordinal_position": 111}, {"identifier": "I29", "position": [1, 9], "step": 111, "ordinal_position": 112}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 112, "direction": "right", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_013.json"}} {"qa_id": "d229916d3bdf468e9d3db757bc507982", "image_id": "L3-MazeLoop-test_11x11_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y38, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "Y38", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "S40", "traversal_path": [{"identifier": "Y38", "position": [7, 9], "step": 0, "ordinal_position": 1}, {"identifier": "L41", "position": [7, 8], "step": 1, "ordinal_position": 2}, {"identifier": "K50", "position": [7, 7], "step": 2, "ordinal_position": 3}, {"identifier": "V53", "position": [7, 6], "step": 3, "ordinal_position": 4}, {"identifier": "S40", "position": [7, 5], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 5, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_014.json"}} {"qa_id": "a374749874c241cb88a9bc87710ff1b6", "image_id": "L3-MazeLoop-test_11x11_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T86, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "T86", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U49", "traversal_path": [{"identifier": "T86", "position": [3, 7], "step": 0, "ordinal_position": 1}, {"identifier": "X40", "position": [3, 8], "step": 1, "ordinal_position": 2}, {"identifier": "P83", "position": [3, 9], "step": 2, "ordinal_position": 3}, {"identifier": "U49", "position": [2, 9], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 4, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_014.json"}} {"qa_id": "843cb2ec77d74d57b74064b1585395ef", "image_id": "L3-MazeLoop-test_11x11_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S07, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "S07", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U49", "traversal_path": [{"identifier": "S07", "position": [4, 9], "step": 0, "ordinal_position": 1}, {"identifier": "P83", "position": [3, 9], "step": 1, "ordinal_position": 2}, {"identifier": "U49", "position": [2, 9], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 3, "direction": "left", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_014.json"}} {"qa_id": "09c1f87e2d7b4c26a4f30fd29b33c368", "image_id": "L3-MazeLoop-test_11x11_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V53, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "V53", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "L49", "traversal_path": [{"identifier": "V53", "position": [7, 6], "step": 0, "ordinal_position": 1}, {"identifier": "S40", "position": [7, 5], "step": 1, "ordinal_position": 2}, {"identifier": "S83", "position": [7, 4], "step": 2, "ordinal_position": 3}, {"identifier": "C72", "position": [7, 3], "step": 3, "ordinal_position": 4}, {"identifier": "L49", "position": [7, 2], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 5, "direction": "up", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_014.json"}} {"qa_id": "545be1ea38634413ad1c38bbe851e682", "image_id": "L3-MazeLoop-test_11x11_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J67, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 10th position in this traversal?", "start_object_id": "J67", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [10], "ordinal_strings": ["10th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "V90", "traversal_path": [{"identifier": "J67", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "Q87", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "V04", "position": [1, 6], "step": 2, "ordinal_position": 3}, {"identifier": "S53", "position": [1, 7], "step": 3, "ordinal_position": 4}, {"identifier": "Z56", "position": [1, 8], "step": 4, "ordinal_position": 5}, {"identifier": "D80", "position": [1, 9], "step": 5, "ordinal_position": 6}, {"identifier": "U49", "position": [2, 9], "step": 6, "ordinal_position": 7}, {"identifier": "P83", "position": [3, 9], "step": 7, "ordinal_position": 8}, {"identifier": "S07", "position": [4, 9], "step": 8, "ordinal_position": 9}, {"identifier": "V90", "position": [5, 9], "step": 9, "ordinal_position": 10}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 10, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_014.json"}} {"qa_id": "c19b64f894d247fb9a742c48f53682bd", "image_id": "L3-MazeLoop-test_11x11_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C72, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 67th position in this traversal?", "start_object_id": "C72", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [67], "ordinal_strings": ["67th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Y38", "traversal_path": [{"identifier": "C72", "position": [7, 3], "step": 0, "ordinal_position": 1}, {"identifier": "S83", "position": [7, 4], "step": 1, "ordinal_position": 2}, {"identifier": "S40", "position": [7, 5], "step": 2, "ordinal_position": 3}, {"identifier": "V53", "position": [7, 6], "step": 3, "ordinal_position": 4}, {"identifier": "K50", "position": [7, 7], "step": 4, "ordinal_position": 5}, {"identifier": "L41", "position": [7, 8], "step": 5, "ordinal_position": 6}, {"identifier": "Y38", "position": [7, 9], "step": 6, "ordinal_position": 7}, {"identifier": "E96", "position": [8, 9], "step": 7, "ordinal_position": 8}, {"identifier": "K42", "position": [9, 9], "step": 8, "ordinal_position": 9}, {"identifier": "A78", "position": [9, 8], "step": 9, "ordinal_position": 10}, {"identifier": "Q61", "position": [9, 7], "step": 10, "ordinal_position": 11}, {"identifier": "K92", "position": [9, 6], "step": 11, "ordinal_position": 12}, {"identifier": "Q14", "position": [9, 5], "step": 12, "ordinal_position": 13}, {"identifier": "L09", "position": [9, 4], "step": 13, "ordinal_position": 14}, {"identifier": "U03", "position": [9, 3], "step": 14, "ordinal_position": 15}, {"identifier": "M67", "position": [9, 2], "step": 15, "ordinal_position": 16}, {"identifier": "D88", "position": [9, 1], "step": 16, "ordinal_position": 17}, {"identifier": "R33", "position": [8, 1], "step": 17, "ordinal_position": 18}, {"identifier": "R41", "position": [7, 1], "step": 18, "ordinal_position": 19}, {"identifier": "L49", "position": [7, 2], "step": 19, "ordinal_position": 20}, {"identifier": "C72", "position": [7, 3], "step": 20, "ordinal_position": 21}, {"identifier": "S83", "position": [7, 4], "step": 21, "ordinal_position": 22}, {"identifier": "S40", "position": [7, 5], "step": 22, "ordinal_position": 23}, {"identifier": "V53", "position": [7, 6], "step": 23, "ordinal_position": 24}, {"identifier": "K50", "position": [7, 7], "step": 24, "ordinal_position": 25}, {"identifier": "L41", "position": [7, 8], "step": 25, "ordinal_position": 26}, {"identifier": "Y38", "position": [7, 9], "step": 26, "ordinal_position": 27}, {"identifier": "E96", "position": [8, 9], "step": 27, "ordinal_position": 28}, {"identifier": "K42", "position": [9, 9], "step": 28, "ordinal_position": 29}, {"identifier": "A78", "position": [9, 8], "step": 29, "ordinal_position": 30}, {"identifier": "Q61", "position": [9, 7], "step": 30, "ordinal_position": 31}, {"identifier": "K92", "position": [9, 6], "step": 31, "ordinal_position": 32}, {"identifier": "Q14", "position": [9, 5], "step": 32, "ordinal_position": 33}, {"identifier": "L09", "position": [9, 4], "step": 33, "ordinal_position": 34}, {"identifier": "U03", "position": [9, 3], "step": 34, "ordinal_position": 35}, {"identifier": "M67", "position": [9, 2], "step": 35, "ordinal_position": 36}, {"identifier": "D88", "position": [9, 1], "step": 36, "ordinal_position": 37}, {"identifier": "R33", "position": [8, 1], "step": 37, "ordinal_position": 38}, {"identifier": "R41", "position": [7, 1], "step": 38, "ordinal_position": 39}, {"identifier": "L49", "position": [7, 2], "step": 39, "ordinal_position": 40}, {"identifier": "C72", "position": [7, 3], "step": 40, "ordinal_position": 41}, {"identifier": "S83", "position": [7, 4], "step": 41, "ordinal_position": 42}, {"identifier": "S40", "position": [7, 5], "step": 42, "ordinal_position": 43}, {"identifier": "V53", "position": [7, 6], "step": 43, "ordinal_position": 44}, {"identifier": "K50", "position": [7, 7], "step": 44, "ordinal_position": 45}, {"identifier": "L41", "position": [7, 8], "step": 45, "ordinal_position": 46}, {"identifier": "Y38", "position": [7, 9], "step": 46, "ordinal_position": 47}, {"identifier": "E96", "position": [8, 9], "step": 47, "ordinal_position": 48}, {"identifier": "K42", "position": [9, 9], "step": 48, "ordinal_position": 49}, {"identifier": "A78", "position": [9, 8], "step": 49, "ordinal_position": 50}, {"identifier": "Q61", "position": [9, 7], "step": 50, "ordinal_position": 51}, {"identifier": "K92", "position": [9, 6], "step": 51, "ordinal_position": 52}, {"identifier": "Q14", "position": [9, 5], "step": 52, "ordinal_position": 53}, {"identifier": "L09", "position": [9, 4], "step": 53, "ordinal_position": 54}, {"identifier": "U03", "position": [9, 3], "step": 54, "ordinal_position": 55}, {"identifier": "M67", "position": [9, 2], "step": 55, "ordinal_position": 56}, {"identifier": "D88", "position": [9, 1], "step": 56, "ordinal_position": 57}, {"identifier": "R33", "position": [8, 1], "step": 57, "ordinal_position": 58}, {"identifier": "R41", "position": [7, 1], "step": 58, "ordinal_position": 59}, {"identifier": "L49", "position": [7, 2], "step": 59, "ordinal_position": 60}, {"identifier": "C72", "position": [7, 3], "step": 60, "ordinal_position": 61}, {"identifier": "S83", "position": [7, 4], "step": 61, "ordinal_position": 62}, {"identifier": "S40", "position": [7, 5], "step": 62, "ordinal_position": 63}, {"identifier": "V53", "position": [7, 6], "step": 63, "ordinal_position": 64}, {"identifier": "K50", "position": [7, 7], "step": 64, "ordinal_position": 65}, {"identifier": "L41", "position": [7, 8], "step": 65, "ordinal_position": 66}, {"identifier": "Y38", "position": [7, 9], "step": 66, "ordinal_position": 67}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 67, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_014.json"}} {"qa_id": "f31bcc3711934e7191a542c8a8c652e2", "image_id": "L3-MazeLoop-test_11x11_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P83, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 64th position in this traversal?", "start_object_id": "P83", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [64], "ordinal_strings": ["64th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "I93", "traversal_path": [{"identifier": "P83", "position": [3, 9], "step": 0, "ordinal_position": 1}, {"identifier": "U49", "position": [2, 9], "step": 1, "ordinal_position": 2}, {"identifier": "D80", "position": [1, 9], "step": 2, "ordinal_position": 3}, {"identifier": "Z56", "position": [1, 8], "step": 3, "ordinal_position": 4}, {"identifier": "S53", "position": [1, 7], "step": 4, "ordinal_position": 5}, {"identifier": "V04", "position": [1, 6], "step": 5, "ordinal_position": 6}, {"identifier": "Q87", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "J67", "position": [1, 4], "step": 7, "ordinal_position": 8}, {"identifier": "H93", "position": [1, 3], "step": 8, "ordinal_position": 9}, {"identifier": "E66", "position": [1, 2], "step": 9, "ordinal_position": 10}, {"identifier": "G62", "position": [1, 1], "step": 10, "ordinal_position": 11}, {"identifier": "D66", "position": [2, 1], "step": 11, "ordinal_position": 12}, {"identifier": "B14", "position": [3, 1], "step": 12, "ordinal_position": 13}, {"identifier": "E84", "position": [4, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Z20", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "I93", "position": [5, 2], "step": 15, "ordinal_position": 16}, {"identifier": "F86", "position": [5, 3], "step": 16, "ordinal_position": 17}, {"identifier": "Y00", "position": [5, 4], "step": 17, "ordinal_position": 18}, {"identifier": "T93", "position": [5, 5], "step": 18, "ordinal_position": 19}, {"identifier": "E19", "position": [4, 5], "step": 19, "ordinal_position": 20}, {"identifier": "T43", "position": [3, 5], "step": 20, "ordinal_position": 21}, {"identifier": "R90", "position": [3, 4], "step": 21, "ordinal_position": 22}, {"identifier": "R10", "position": [3, 3], "step": 22, "ordinal_position": 23}, {"identifier": "T85", "position": [2, 3], "step": 23, "ordinal_position": 24}, {"identifier": "H93", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "E66", "position": [1, 2], "step": 25, "ordinal_position": 26}, {"identifier": "G62", "position": [1, 1], "step": 26, "ordinal_position": 27}, {"identifier": "D66", "position": [2, 1], "step": 27, "ordinal_position": 28}, {"identifier": "B14", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "E84", "position": [4, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Z20", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "I93", "position": [5, 2], "step": 31, "ordinal_position": 32}, {"identifier": "F86", "position": [5, 3], "step": 32, "ordinal_position": 33}, {"identifier": "Y00", "position": [5, 4], "step": 33, "ordinal_position": 34}, {"identifier": "T93", "position": [5, 5], "step": 34, "ordinal_position": 35}, {"identifier": "E19", "position": [4, 5], "step": 35, "ordinal_position": 36}, {"identifier": "T43", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "R90", "position": [3, 4], "step": 37, "ordinal_position": 38}, {"identifier": "R10", "position": [3, 3], "step": 38, "ordinal_position": 39}, {"identifier": "T85", "position": [2, 3], "step": 39, "ordinal_position": 40}, {"identifier": "H93", "position": [1, 3], "step": 40, "ordinal_position": 41}, {"identifier": "E66", "position": [1, 2], "step": 41, "ordinal_position": 42}, {"identifier": "G62", "position": [1, 1], "step": 42, "ordinal_position": 43}, {"identifier": "D66", "position": [2, 1], "step": 43, "ordinal_position": 44}, {"identifier": "B14", "position": [3, 1], "step": 44, "ordinal_position": 45}, {"identifier": "E84", "position": [4, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Z20", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "I93", "position": [5, 2], "step": 47, "ordinal_position": 48}, {"identifier": "F86", "position": [5, 3], "step": 48, "ordinal_position": 49}, {"identifier": "Y00", "position": [5, 4], "step": 49, "ordinal_position": 50}, {"identifier": "T93", "position": [5, 5], "step": 50, "ordinal_position": 51}, {"identifier": "E19", "position": [4, 5], "step": 51, "ordinal_position": 52}, {"identifier": "T43", "position": [3, 5], "step": 52, "ordinal_position": 53}, {"identifier": "R90", "position": [3, 4], "step": 53, "ordinal_position": 54}, {"identifier": "R10", "position": [3, 3], "step": 54, "ordinal_position": 55}, {"identifier": "T85", "position": [2, 3], "step": 55, "ordinal_position": 56}, {"identifier": "H93", "position": [1, 3], "step": 56, "ordinal_position": 57}, {"identifier": "E66", "position": [1, 2], "step": 57, "ordinal_position": 58}, {"identifier": "G62", "position": [1, 1], "step": 58, "ordinal_position": 59}, {"identifier": "D66", "position": [2, 1], "step": 59, "ordinal_position": 60}, {"identifier": "B14", "position": [3, 1], "step": 60, "ordinal_position": 61}, {"identifier": "E84", "position": [4, 1], "step": 61, "ordinal_position": 62}, {"identifier": "Z20", "position": [5, 1], "step": 62, "ordinal_position": 63}, {"identifier": "I93", "position": [5, 2], "step": 63, "ordinal_position": 64}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 64, "direction": "left", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_014.json"}} {"qa_id": "211351ad36e24427b5da12d567cef60c", "image_id": "L3-MazeLoop-test_11x11_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V90, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 91st position in this traversal?", "start_object_id": "V90", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [91], "ordinal_strings": ["91st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q61", "traversal_path": [{"identifier": "V90", "position": [5, 9], "step": 0, "ordinal_position": 1}, {"identifier": "T67", "position": [5, 8], "step": 1, "ordinal_position": 2}, {"identifier": "L52", "position": [5, 7], "step": 2, "ordinal_position": 3}, {"identifier": "S64", "position": [6, 7], "step": 3, "ordinal_position": 4}, {"identifier": "K50", "position": [7, 7], "step": 4, "ordinal_position": 5}, {"identifier": "L41", "position": [7, 8], "step": 5, "ordinal_position": 6}, {"identifier": "Y38", "position": [7, 9], "step": 6, "ordinal_position": 7}, {"identifier": "E96", "position": [8, 9], "step": 7, "ordinal_position": 8}, {"identifier": "K42", "position": [9, 9], "step": 8, "ordinal_position": 9}, {"identifier": "A78", "position": [9, 8], "step": 9, "ordinal_position": 10}, {"identifier": "Q61", "position": [9, 7], "step": 10, "ordinal_position": 11}, {"identifier": "K92", "position": [9, 6], "step": 11, "ordinal_position": 12}, {"identifier": "Q14", "position": [9, 5], "step": 12, "ordinal_position": 13}, {"identifier": "L09", "position": [9, 4], "step": 13, "ordinal_position": 14}, {"identifier": "U03", "position": [9, 3], "step": 14, "ordinal_position": 15}, {"identifier": "M67", "position": [9, 2], "step": 15, "ordinal_position": 16}, {"identifier": "D88", "position": [9, 1], "step": 16, "ordinal_position": 17}, {"identifier": "R33", "position": [8, 1], "step": 17, "ordinal_position": 18}, {"identifier": "R41", "position": [7, 1], "step": 18, "ordinal_position": 19}, {"identifier": "L49", "position": [7, 2], "step": 19, "ordinal_position": 20}, {"identifier": "C72", "position": [7, 3], "step": 20, "ordinal_position": 21}, {"identifier": "S83", "position": [7, 4], "step": 21, "ordinal_position": 22}, {"identifier": "S40", "position": [7, 5], "step": 22, "ordinal_position": 23}, {"identifier": "V53", "position": [7, 6], "step": 23, "ordinal_position": 24}, {"identifier": "K50", "position": [7, 7], "step": 24, "ordinal_position": 25}, {"identifier": "L41", "position": [7, 8], "step": 25, "ordinal_position": 26}, {"identifier": "Y38", "position": [7, 9], "step": 26, "ordinal_position": 27}, {"identifier": "E96", "position": [8, 9], "step": 27, "ordinal_position": 28}, {"identifier": "K42", "position": [9, 9], "step": 28, "ordinal_position": 29}, {"identifier": "A78", "position": [9, 8], "step": 29, "ordinal_position": 30}, {"identifier": "Q61", "position": [9, 7], "step": 30, "ordinal_position": 31}, {"identifier": "K92", "position": [9, 6], "step": 31, "ordinal_position": 32}, {"identifier": "Q14", "position": [9, 5], "step": 32, "ordinal_position": 33}, {"identifier": "L09", "position": [9, 4], "step": 33, "ordinal_position": 34}, {"identifier": "U03", "position": [9, 3], "step": 34, "ordinal_position": 35}, {"identifier": "M67", "position": [9, 2], "step": 35, "ordinal_position": 36}, {"identifier": "D88", "position": [9, 1], "step": 36, "ordinal_position": 37}, {"identifier": "R33", "position": [8, 1], "step": 37, "ordinal_position": 38}, {"identifier": "R41", "position": [7, 1], "step": 38, "ordinal_position": 39}, {"identifier": "L49", "position": [7, 2], "step": 39, "ordinal_position": 40}, {"identifier": "C72", "position": [7, 3], "step": 40, "ordinal_position": 41}, {"identifier": "S83", "position": [7, 4], "step": 41, "ordinal_position": 42}, {"identifier": "S40", "position": [7, 5], "step": 42, "ordinal_position": 43}, {"identifier": "V53", "position": [7, 6], "step": 43, "ordinal_position": 44}, {"identifier": "K50", "position": [7, 7], "step": 44, "ordinal_position": 45}, {"identifier": "L41", "position": [7, 8], "step": 45, "ordinal_position": 46}, {"identifier": "Y38", "position": [7, 9], "step": 46, "ordinal_position": 47}, {"identifier": "E96", "position": [8, 9], "step": 47, "ordinal_position": 48}, {"identifier": "K42", "position": [9, 9], "step": 48, "ordinal_position": 49}, {"identifier": "A78", "position": [9, 8], "step": 49, "ordinal_position": 50}, {"identifier": "Q61", "position": [9, 7], "step": 50, "ordinal_position": 51}, {"identifier": "K92", "position": [9, 6], "step": 51, "ordinal_position": 52}, {"identifier": "Q14", "position": [9, 5], "step": 52, "ordinal_position": 53}, {"identifier": "L09", "position": [9, 4], "step": 53, "ordinal_position": 54}, {"identifier": "U03", "position": [9, 3], "step": 54, "ordinal_position": 55}, {"identifier": "M67", "position": [9, 2], "step": 55, "ordinal_position": 56}, {"identifier": "D88", "position": [9, 1], "step": 56, "ordinal_position": 57}, {"identifier": "R33", "position": [8, 1], "step": 57, "ordinal_position": 58}, {"identifier": "R41", "position": [7, 1], "step": 58, "ordinal_position": 59}, {"identifier": "L49", "position": [7, 2], "step": 59, "ordinal_position": 60}, {"identifier": "C72", "position": [7, 3], "step": 60, "ordinal_position": 61}, {"identifier": "S83", "position": [7, 4], "step": 61, "ordinal_position": 62}, {"identifier": "S40", "position": [7, 5], "step": 62, "ordinal_position": 63}, {"identifier": "V53", "position": [7, 6], "step": 63, "ordinal_position": 64}, {"identifier": "K50", "position": [7, 7], "step": 64, "ordinal_position": 65}, {"identifier": "L41", "position": [7, 8], "step": 65, "ordinal_position": 66}, {"identifier": "Y38", "position": [7, 9], "step": 66, "ordinal_position": 67}, {"identifier": "E96", "position": [8, 9], "step": 67, "ordinal_position": 68}, {"identifier": "K42", "position": [9, 9], "step": 68, "ordinal_position": 69}, {"identifier": "A78", "position": [9, 8], "step": 69, "ordinal_position": 70}, {"identifier": "Q61", "position": [9, 7], "step": 70, "ordinal_position": 71}, {"identifier": "K92", "position": [9, 6], "step": 71, "ordinal_position": 72}, {"identifier": "Q14", "position": [9, 5], "step": 72, "ordinal_position": 73}, {"identifier": "L09", "position": [9, 4], "step": 73, "ordinal_position": 74}, {"identifier": "U03", "position": [9, 3], "step": 74, "ordinal_position": 75}, {"identifier": "M67", "position": [9, 2], "step": 75, "ordinal_position": 76}, {"identifier": "D88", "position": [9, 1], "step": 76, "ordinal_position": 77}, {"identifier": "R33", "position": [8, 1], "step": 77, "ordinal_position": 78}, {"identifier": "R41", "position": [7, 1], "step": 78, "ordinal_position": 79}, {"identifier": "L49", "position": [7, 2], "step": 79, "ordinal_position": 80}, {"identifier": "C72", "position": [7, 3], "step": 80, "ordinal_position": 81}, {"identifier": "S83", "position": [7, 4], "step": 81, "ordinal_position": 82}, {"identifier": "S40", "position": [7, 5], "step": 82, "ordinal_position": 83}, {"identifier": "V53", "position": [7, 6], "step": 83, "ordinal_position": 84}, {"identifier": "K50", "position": [7, 7], "step": 84, "ordinal_position": 85}, {"identifier": "L41", "position": [7, 8], "step": 85, "ordinal_position": 86}, {"identifier": "Y38", "position": [7, 9], "step": 86, "ordinal_position": 87}, {"identifier": "E96", "position": [8, 9], "step": 87, "ordinal_position": 88}, {"identifier": "K42", "position": [9, 9], "step": 88, "ordinal_position": 89}, {"identifier": "A78", "position": [9, 8], "step": 89, "ordinal_position": 90}, {"identifier": "Q61", "position": [9, 7], "step": 90, "ordinal_position": 91}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 91, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_014.json"}} {"qa_id": "740d1d92cbfb49369e1e13e0a53cb409", "image_id": "L3-MazeLoop-test_11x11_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D88, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 34th position in this traversal?", "start_object_id": "D88", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [34], "ordinal_strings": ["34th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "V53", "traversal_path": [{"identifier": "D88", "position": [9, 1], "step": 0, "ordinal_position": 1}, {"identifier": "M67", "position": [9, 2], "step": 1, "ordinal_position": 2}, {"identifier": "U03", "position": [9, 3], "step": 2, "ordinal_position": 3}, {"identifier": "L09", "position": [9, 4], "step": 3, "ordinal_position": 4}, {"identifier": "Q14", "position": [9, 5], "step": 4, "ordinal_position": 5}, {"identifier": "K92", "position": [9, 6], "step": 5, "ordinal_position": 6}, {"identifier": "Q61", "position": [9, 7], "step": 6, "ordinal_position": 7}, {"identifier": "A78", "position": [9, 8], "step": 7, "ordinal_position": 8}, {"identifier": "K42", "position": [9, 9], "step": 8, "ordinal_position": 9}, {"identifier": "E96", "position": [8, 9], "step": 9, "ordinal_position": 10}, {"identifier": "Y38", "position": [7, 9], "step": 10, "ordinal_position": 11}, {"identifier": "L41", "position": [7, 8], "step": 11, "ordinal_position": 12}, {"identifier": "K50", "position": [7, 7], "step": 12, "ordinal_position": 13}, {"identifier": "V53", "position": [7, 6], "step": 13, "ordinal_position": 14}, {"identifier": "S40", "position": [7, 5], "step": 14, "ordinal_position": 15}, {"identifier": "S83", "position": [7, 4], "step": 15, "ordinal_position": 16}, {"identifier": "C72", "position": [7, 3], "step": 16, "ordinal_position": 17}, {"identifier": "L49", "position": [7, 2], "step": 17, "ordinal_position": 18}, {"identifier": "R41", "position": [7, 1], "step": 18, "ordinal_position": 19}, {"identifier": "R33", "position": [8, 1], "step": 19, "ordinal_position": 20}, {"identifier": "D88", "position": [9, 1], "step": 20, "ordinal_position": 21}, {"identifier": "M67", "position": [9, 2], "step": 21, "ordinal_position": 22}, {"identifier": "U03", "position": [9, 3], "step": 22, "ordinal_position": 23}, {"identifier": "L09", "position": [9, 4], "step": 23, "ordinal_position": 24}, {"identifier": "Q14", "position": [9, 5], "step": 24, "ordinal_position": 25}, {"identifier": "K92", "position": [9, 6], "step": 25, "ordinal_position": 26}, {"identifier": "Q61", "position": [9, 7], "step": 26, "ordinal_position": 27}, {"identifier": "A78", "position": [9, 8], "step": 27, "ordinal_position": 28}, {"identifier": "K42", "position": [9, 9], "step": 28, "ordinal_position": 29}, {"identifier": "E96", "position": [8, 9], "step": 29, "ordinal_position": 30}, {"identifier": "Y38", "position": [7, 9], "step": 30, "ordinal_position": 31}, {"identifier": "L41", "position": [7, 8], "step": 31, "ordinal_position": 32}, {"identifier": "K50", "position": [7, 7], "step": 32, "ordinal_position": 33}, {"identifier": "V53", "position": [7, 6], "step": 33, "ordinal_position": 34}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 34, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_014.json"}} {"qa_id": "3bc90eabfdf24f0ca4e47c73498f4071", "image_id": "L3-MazeLoop-test_11x11_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X31, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 27th position in this traversal?", "start_object_id": "X31", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [27], "ordinal_strings": ["27th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "M67", "traversal_path": [{"identifier": "X31", "position": [8, 3], "step": 0, "ordinal_position": 1}, {"identifier": "C72", "position": [7, 3], "step": 1, "ordinal_position": 2}, {"identifier": "L49", "position": [7, 2], "step": 2, "ordinal_position": 3}, {"identifier": "R41", "position": [7, 1], "step": 3, "ordinal_position": 4}, {"identifier": "R33", "position": [8, 1], "step": 4, "ordinal_position": 5}, {"identifier": "D88", "position": [9, 1], "step": 5, "ordinal_position": 6}, {"identifier": "M67", "position": [9, 2], "step": 6, "ordinal_position": 7}, {"identifier": "U03", "position": [9, 3], "step": 7, "ordinal_position": 8}, {"identifier": "L09", "position": [9, 4], "step": 8, "ordinal_position": 9}, {"identifier": "Q14", "position": [9, 5], "step": 9, "ordinal_position": 10}, {"identifier": "K92", "position": [9, 6], "step": 10, "ordinal_position": 11}, {"identifier": "Q61", "position": [9, 7], "step": 11, "ordinal_position": 12}, {"identifier": "A78", "position": [9, 8], "step": 12, "ordinal_position": 13}, {"identifier": "K42", "position": [9, 9], "step": 13, "ordinal_position": 14}, {"identifier": "E96", "position": [8, 9], "step": 14, "ordinal_position": 15}, {"identifier": "Y38", "position": [7, 9], "step": 15, "ordinal_position": 16}, {"identifier": "L41", "position": [7, 8], "step": 16, "ordinal_position": 17}, {"identifier": "K50", "position": [7, 7], "step": 17, "ordinal_position": 18}, {"identifier": "V53", "position": [7, 6], "step": 18, "ordinal_position": 19}, {"identifier": "S40", "position": [7, 5], "step": 19, "ordinal_position": 20}, {"identifier": "S83", "position": [7, 4], "step": 20, "ordinal_position": 21}, {"identifier": "C72", "position": [7, 3], "step": 21, "ordinal_position": 22}, {"identifier": "L49", "position": [7, 2], "step": 22, "ordinal_position": 23}, {"identifier": "R41", "position": [7, 1], "step": 23, "ordinal_position": 24}, {"identifier": "R33", "position": [8, 1], "step": 24, "ordinal_position": 25}, {"identifier": "D88", "position": [9, 1], "step": 25, "ordinal_position": 26}, {"identifier": "M67", "position": [9, 2], "step": 26, "ordinal_position": 27}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 27, "direction": "left", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_014.json"}} {"qa_id": "9f46e29770634f45af9ce36478bfcb57", "image_id": "L3-MazeLoop-test_11x11_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L09, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 274th position in this traversal?", "start_object_id": "L09", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [274], "ordinal_strings": ["274th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "C72", "traversal_path": [{"identifier": "L09", "position": [9, 4], "step": 0, "ordinal_position": 1}, {"identifier": "Q14", "position": [9, 5], "step": 1, "ordinal_position": 2}, {"identifier": "K92", "position": [9, 6], "step": 2, "ordinal_position": 3}, {"identifier": "Q61", "position": [9, 7], "step": 3, "ordinal_position": 4}, {"identifier": "A78", "position": [9, 8], "step": 4, "ordinal_position": 5}, {"identifier": "K42", "position": [9, 9], "step": 5, "ordinal_position": 6}, {"identifier": "E96", "position": [8, 9], "step": 6, "ordinal_position": 7}, {"identifier": "Y38", "position": [7, 9], "step": 7, "ordinal_position": 8}, {"identifier": "L41", "position": [7, 8], "step": 8, "ordinal_position": 9}, {"identifier": "K50", "position": [7, 7], "step": 9, "ordinal_position": 10}, {"identifier": "V53", "position": [7, 6], "step": 10, "ordinal_position": 11}, {"identifier": "S40", "position": [7, 5], "step": 11, "ordinal_position": 12}, {"identifier": "S83", "position": [7, 4], "step": 12, "ordinal_position": 13}, {"identifier": "C72", "position": [7, 3], "step": 13, "ordinal_position": 14}, {"identifier": "L49", "position": [7, 2], "step": 14, "ordinal_position": 15}, {"identifier": "R41", "position": [7, 1], "step": 15, "ordinal_position": 16}, {"identifier": "R33", "position": [8, 1], "step": 16, "ordinal_position": 17}, {"identifier": "D88", "position": [9, 1], "step": 17, "ordinal_position": 18}, {"identifier": "M67", "position": [9, 2], "step": 18, "ordinal_position": 19}, {"identifier": "U03", "position": [9, 3], "step": 19, "ordinal_position": 20}, {"identifier": "L09", "position": [9, 4], "step": 20, "ordinal_position": 21}, {"identifier": "Q14", "position": [9, 5], "step": 21, "ordinal_position": 22}, {"identifier": "K92", "position": [9, 6], "step": 22, "ordinal_position": 23}, {"identifier": "Q61", "position": [9, 7], "step": 23, "ordinal_position": 24}, {"identifier": "A78", "position": [9, 8], "step": 24, "ordinal_position": 25}, {"identifier": "K42", "position": [9, 9], "step": 25, "ordinal_position": 26}, {"identifier": "E96", "position": [8, 9], "step": 26, "ordinal_position": 27}, {"identifier": "Y38", "position": [7, 9], "step": 27, "ordinal_position": 28}, {"identifier": "L41", "position": [7, 8], "step": 28, "ordinal_position": 29}, {"identifier": "K50", "position": [7, 7], "step": 29, "ordinal_position": 30}, {"identifier": "V53", "position": [7, 6], "step": 30, "ordinal_position": 31}, {"identifier": "S40", "position": [7, 5], "step": 31, "ordinal_position": 32}, {"identifier": "S83", "position": [7, 4], "step": 32, "ordinal_position": 33}, {"identifier": "C72", "position": [7, 3], "step": 33, "ordinal_position": 34}, {"identifier": "L49", "position": [7, 2], "step": 34, "ordinal_position": 35}, {"identifier": "R41", "position": [7, 1], "step": 35, "ordinal_position": 36}, {"identifier": "R33", "position": [8, 1], "step": 36, "ordinal_position": 37}, {"identifier": "D88", "position": [9, 1], "step": 37, "ordinal_position": 38}, {"identifier": "M67", "position": [9, 2], "step": 38, "ordinal_position": 39}, {"identifier": "U03", "position": [9, 3], "step": 39, "ordinal_position": 40}, {"identifier": "L09", "position": [9, 4], "step": 40, "ordinal_position": 41}, {"identifier": "Q14", "position": [9, 5], "step": 41, "ordinal_position": 42}, {"identifier": "K92", "position": [9, 6], "step": 42, "ordinal_position": 43}, {"identifier": "Q61", "position": [9, 7], "step": 43, "ordinal_position": 44}, {"identifier": "A78", "position": [9, 8], "step": 44, "ordinal_position": 45}, {"identifier": "K42", "position": [9, 9], "step": 45, "ordinal_position": 46}, {"identifier": "E96", "position": [8, 9], "step": 46, "ordinal_position": 47}, {"identifier": "Y38", "position": [7, 9], "step": 47, "ordinal_position": 48}, {"identifier": "L41", "position": [7, 8], "step": 48, "ordinal_position": 49}, {"identifier": "K50", "position": [7, 7], "step": 49, "ordinal_position": 50}, {"identifier": "V53", "position": [7, 6], "step": 50, "ordinal_position": 51}, {"identifier": "S40", "position": [7, 5], "step": 51, "ordinal_position": 52}, {"identifier": "S83", "position": [7, 4], "step": 52, "ordinal_position": 53}, {"identifier": "C72", "position": [7, 3], "step": 53, "ordinal_position": 54}, {"identifier": "L49", "position": [7, 2], "step": 54, "ordinal_position": 55}, {"identifier": "R41", "position": [7, 1], "step": 55, "ordinal_position": 56}, {"identifier": "R33", "position": [8, 1], "step": 56, "ordinal_position": 57}, {"identifier": "D88", "position": [9, 1], "step": 57, "ordinal_position": 58}, {"identifier": "M67", "position": [9, 2], "step": 58, "ordinal_position": 59}, {"identifier": "U03", "position": [9, 3], "step": 59, "ordinal_position": 60}, {"identifier": "L09", "position": [9, 4], "step": 60, "ordinal_position": 61}, {"identifier": "Q14", "position": [9, 5], "step": 61, "ordinal_position": 62}, {"identifier": "K92", "position": [9, 6], "step": 62, "ordinal_position": 63}, {"identifier": "Q61", "position": [9, 7], "step": 63, "ordinal_position": 64}, {"identifier": "A78", "position": [9, 8], "step": 64, "ordinal_position": 65}, {"identifier": "K42", "position": [9, 9], "step": 65, "ordinal_position": 66}, {"identifier": "E96", "position": [8, 9], "step": 66, "ordinal_position": 67}, {"identifier": "Y38", "position": [7, 9], "step": 67, "ordinal_position": 68}, {"identifier": "L41", "position": [7, 8], "step": 68, "ordinal_position": 69}, {"identifier": "K50", "position": [7, 7], "step": 69, "ordinal_position": 70}, {"identifier": "V53", "position": [7, 6], "step": 70, "ordinal_position": 71}, {"identifier": "S40", "position": [7, 5], "step": 71, "ordinal_position": 72}, {"identifier": "S83", "position": [7, 4], "step": 72, "ordinal_position": 73}, {"identifier": "C72", "position": [7, 3], "step": 73, "ordinal_position": 74}, {"identifier": "L49", "position": [7, 2], "step": 74, "ordinal_position": 75}, {"identifier": "R41", "position": [7, 1], "step": 75, "ordinal_position": 76}, {"identifier": "R33", "position": [8, 1], "step": 76, "ordinal_position": 77}, {"identifier": "D88", "position": [9, 1], "step": 77, "ordinal_position": 78}, {"identifier": "M67", "position": [9, 2], "step": 78, "ordinal_position": 79}, {"identifier": "U03", "position": [9, 3], "step": 79, "ordinal_position": 80}, {"identifier": "L09", "position": [9, 4], "step": 80, "ordinal_position": 81}, {"identifier": "Q14", "position": [9, 5], "step": 81, "ordinal_position": 82}, {"identifier": "K92", "position": [9, 6], "step": 82, "ordinal_position": 83}, {"identifier": "Q61", "position": [9, 7], "step": 83, "ordinal_position": 84}, {"identifier": "A78", "position": [9, 8], "step": 84, "ordinal_position": 85}, {"identifier": "K42", "position": [9, 9], "step": 85, "ordinal_position": 86}, {"identifier": "E96", "position": [8, 9], "step": 86, "ordinal_position": 87}, {"identifier": "Y38", "position": [7, 9], "step": 87, "ordinal_position": 88}, {"identifier": "L41", "position": [7, 8], "step": 88, "ordinal_position": 89}, {"identifier": "K50", "position": [7, 7], "step": 89, "ordinal_position": 90}, {"identifier": "V53", "position": [7, 6], "step": 90, "ordinal_position": 91}, {"identifier": "S40", "position": [7, 5], "step": 91, "ordinal_position": 92}, {"identifier": "S83", "position": [7, 4], "step": 92, "ordinal_position": 93}, {"identifier": "C72", "position": [7, 3], "step": 93, "ordinal_position": 94}, {"identifier": "L49", "position": [7, 2], "step": 94, "ordinal_position": 95}, {"identifier": "R41", "position": [7, 1], "step": 95, "ordinal_position": 96}, {"identifier": "R33", "position": [8, 1], "step": 96, "ordinal_position": 97}, {"identifier": "D88", "position": [9, 1], "step": 97, "ordinal_position": 98}, {"identifier": "M67", "position": [9, 2], "step": 98, "ordinal_position": 99}, {"identifier": "U03", "position": [9, 3], "step": 99, "ordinal_position": 100}, {"identifier": "L09", "position": [9, 4], "step": 100, "ordinal_position": 101}, {"identifier": "Q14", "position": [9, 5], "step": 101, "ordinal_position": 102}, {"identifier": "K92", "position": [9, 6], "step": 102, "ordinal_position": 103}, {"identifier": "Q61", "position": [9, 7], "step": 103, "ordinal_position": 104}, {"identifier": "A78", "position": [9, 8], "step": 104, "ordinal_position": 105}, {"identifier": "K42", "position": [9, 9], "step": 105, "ordinal_position": 106}, {"identifier": "E96", "position": [8, 9], "step": 106, "ordinal_position": 107}, {"identifier": "Y38", "position": [7, 9], "step": 107, "ordinal_position": 108}, {"identifier": "L41", "position": [7, 8], "step": 108, "ordinal_position": 109}, {"identifier": "K50", "position": [7, 7], "step": 109, "ordinal_position": 110}, {"identifier": "V53", "position": [7, 6], "step": 110, "ordinal_position": 111}, {"identifier": "S40", "position": [7, 5], "step": 111, "ordinal_position": 112}, {"identifier": "S83", "position": [7, 4], "step": 112, "ordinal_position": 113}, {"identifier": "C72", "position": [7, 3], "step": 113, "ordinal_position": 114}, {"identifier": "L49", "position": [7, 2], "step": 114, "ordinal_position": 115}, {"identifier": "R41", "position": [7, 1], "step": 115, "ordinal_position": 116}, {"identifier": "R33", "position": [8, 1], "step": 116, "ordinal_position": 117}, {"identifier": "D88", "position": [9, 1], "step": 117, "ordinal_position": 118}, {"identifier": "M67", "position": [9, 2], "step": 118, "ordinal_position": 119}, {"identifier": "U03", "position": [9, 3], "step": 119, "ordinal_position": 120}, {"identifier": "L09", "position": [9, 4], "step": 120, "ordinal_position": 121}, {"identifier": "Q14", "position": [9, 5], "step": 121, "ordinal_position": 122}, {"identifier": "K92", "position": [9, 6], "step": 122, "ordinal_position": 123}, {"identifier": "Q61", "position": [9, 7], "step": 123, "ordinal_position": 124}, {"identifier": "A78", "position": [9, 8], "step": 124, "ordinal_position": 125}, {"identifier": "K42", "position": [9, 9], "step": 125, "ordinal_position": 126}, {"identifier": "E96", "position": [8, 9], "step": 126, "ordinal_position": 127}, {"identifier": "Y38", "position": [7, 9], "step": 127, "ordinal_position": 128}, {"identifier": "L41", "position": [7, 8], "step": 128, "ordinal_position": 129}, {"identifier": "K50", "position": [7, 7], "step": 129, "ordinal_position": 130}, {"identifier": "V53", "position": [7, 6], "step": 130, "ordinal_position": 131}, {"identifier": "S40", "position": [7, 5], "step": 131, "ordinal_position": 132}, {"identifier": "S83", "position": [7, 4], "step": 132, "ordinal_position": 133}, {"identifier": "C72", "position": [7, 3], "step": 133, "ordinal_position": 134}, {"identifier": "L49", "position": [7, 2], "step": 134, "ordinal_position": 135}, {"identifier": "R41", "position": [7, 1], "step": 135, "ordinal_position": 136}, {"identifier": "R33", "position": [8, 1], "step": 136, "ordinal_position": 137}, {"identifier": "D88", "position": [9, 1], "step": 137, "ordinal_position": 138}, {"identifier": "M67", "position": [9, 2], "step": 138, "ordinal_position": 139}, {"identifier": "U03", "position": [9, 3], "step": 139, "ordinal_position": 140}, {"identifier": "L09", "position": [9, 4], "step": 140, "ordinal_position": 141}, {"identifier": "Q14", "position": [9, 5], "step": 141, "ordinal_position": 142}, {"identifier": "K92", "position": [9, 6], "step": 142, "ordinal_position": 143}, {"identifier": "Q61", "position": [9, 7], "step": 143, "ordinal_position": 144}, {"identifier": "A78", "position": [9, 8], "step": 144, "ordinal_position": 145}, {"identifier": "K42", "position": [9, 9], "step": 145, "ordinal_position": 146}, {"identifier": "E96", "position": [8, 9], "step": 146, "ordinal_position": 147}, {"identifier": "Y38", "position": [7, 9], "step": 147, "ordinal_position": 148}, {"identifier": "L41", "position": [7, 8], "step": 148, "ordinal_position": 149}, {"identifier": "K50", "position": [7, 7], "step": 149, "ordinal_position": 150}, {"identifier": "V53", "position": [7, 6], "step": 150, "ordinal_position": 151}, {"identifier": "S40", "position": [7, 5], "step": 151, "ordinal_position": 152}, {"identifier": "S83", "position": [7, 4], "step": 152, "ordinal_position": 153}, {"identifier": "C72", "position": [7, 3], "step": 153, "ordinal_position": 154}, {"identifier": "L49", "position": [7, 2], "step": 154, "ordinal_position": 155}, {"identifier": "R41", "position": [7, 1], "step": 155, "ordinal_position": 156}, {"identifier": "R33", "position": [8, 1], "step": 156, "ordinal_position": 157}, {"identifier": "D88", "position": [9, 1], "step": 157, "ordinal_position": 158}, {"identifier": "M67", "position": [9, 2], "step": 158, "ordinal_position": 159}, {"identifier": "U03", "position": [9, 3], "step": 159, "ordinal_position": 160}, {"identifier": "L09", "position": [9, 4], "step": 160, "ordinal_position": 161}, {"identifier": "Q14", "position": [9, 5], "step": 161, "ordinal_position": 162}, {"identifier": "K92", "position": [9, 6], "step": 162, "ordinal_position": 163}, {"identifier": "Q61", "position": [9, 7], "step": 163, "ordinal_position": 164}, {"identifier": "A78", "position": [9, 8], "step": 164, "ordinal_position": 165}, {"identifier": "K42", "position": [9, 9], "step": 165, "ordinal_position": 166}, {"identifier": "E96", "position": [8, 9], "step": 166, "ordinal_position": 167}, {"identifier": "Y38", "position": [7, 9], "step": 167, "ordinal_position": 168}, {"identifier": "L41", "position": [7, 8], "step": 168, "ordinal_position": 169}, {"identifier": "K50", "position": [7, 7], "step": 169, "ordinal_position": 170}, {"identifier": "V53", "position": [7, 6], "step": 170, "ordinal_position": 171}, {"identifier": "S40", "position": [7, 5], "step": 171, "ordinal_position": 172}, {"identifier": "S83", "position": [7, 4], "step": 172, "ordinal_position": 173}, {"identifier": "C72", "position": [7, 3], "step": 173, "ordinal_position": 174}, {"identifier": "L49", "position": [7, 2], "step": 174, "ordinal_position": 175}, {"identifier": "R41", "position": [7, 1], "step": 175, "ordinal_position": 176}, {"identifier": "R33", "position": [8, 1], "step": 176, "ordinal_position": 177}, {"identifier": "D88", "position": [9, 1], "step": 177, "ordinal_position": 178}, {"identifier": "M67", "position": [9, 2], "step": 178, "ordinal_position": 179}, {"identifier": "U03", "position": [9, 3], "step": 179, "ordinal_position": 180}, {"identifier": "L09", "position": [9, 4], "step": 180, "ordinal_position": 181}, {"identifier": "Q14", "position": [9, 5], "step": 181, "ordinal_position": 182}, {"identifier": "K92", "position": [9, 6], "step": 182, "ordinal_position": 183}, {"identifier": "Q61", "position": [9, 7], "step": 183, "ordinal_position": 184}, {"identifier": "A78", "position": [9, 8], "step": 184, "ordinal_position": 185}, {"identifier": "K42", "position": [9, 9], "step": 185, "ordinal_position": 186}, {"identifier": "E96", "position": [8, 9], "step": 186, "ordinal_position": 187}, {"identifier": "Y38", "position": [7, 9], "step": 187, "ordinal_position": 188}, {"identifier": "L41", "position": [7, 8], "step": 188, "ordinal_position": 189}, {"identifier": "K50", "position": [7, 7], "step": 189, "ordinal_position": 190}, {"identifier": "V53", "position": [7, 6], "step": 190, "ordinal_position": 191}, {"identifier": "S40", "position": [7, 5], "step": 191, "ordinal_position": 192}, {"identifier": "S83", "position": [7, 4], "step": 192, "ordinal_position": 193}, {"identifier": "C72", "position": [7, 3], "step": 193, "ordinal_position": 194}, {"identifier": "L49", "position": [7, 2], "step": 194, "ordinal_position": 195}, {"identifier": "R41", "position": [7, 1], "step": 195, "ordinal_position": 196}, {"identifier": "R33", "position": [8, 1], "step": 196, "ordinal_position": 197}, {"identifier": "D88", "position": [9, 1], "step": 197, "ordinal_position": 198}, {"identifier": "M67", "position": [9, 2], "step": 198, "ordinal_position": 199}, {"identifier": "U03", "position": [9, 3], "step": 199, "ordinal_position": 200}, {"identifier": "L09", "position": [9, 4], "step": 200, "ordinal_position": 201}, {"identifier": "Q14", "position": [9, 5], "step": 201, "ordinal_position": 202}, {"identifier": "K92", "position": [9, 6], "step": 202, "ordinal_position": 203}, {"identifier": "Q61", "position": [9, 7], "step": 203, "ordinal_position": 204}, {"identifier": "A78", "position": [9, 8], "step": 204, "ordinal_position": 205}, {"identifier": "K42", "position": [9, 9], "step": 205, "ordinal_position": 206}, {"identifier": "E96", "position": [8, 9], "step": 206, "ordinal_position": 207}, {"identifier": "Y38", "position": [7, 9], "step": 207, "ordinal_position": 208}, {"identifier": "L41", "position": [7, 8], "step": 208, "ordinal_position": 209}, {"identifier": "K50", "position": [7, 7], "step": 209, "ordinal_position": 210}, {"identifier": "V53", "position": [7, 6], "step": 210, "ordinal_position": 211}, {"identifier": "S40", "position": [7, 5], "step": 211, "ordinal_position": 212}, {"identifier": "S83", "position": [7, 4], "step": 212, "ordinal_position": 213}, {"identifier": "C72", "position": [7, 3], "step": 213, "ordinal_position": 214}, {"identifier": "L49", "position": [7, 2], "step": 214, "ordinal_position": 215}, {"identifier": "R41", "position": [7, 1], "step": 215, "ordinal_position": 216}, {"identifier": "R33", "position": [8, 1], "step": 216, "ordinal_position": 217}, {"identifier": "D88", "position": [9, 1], "step": 217, "ordinal_position": 218}, {"identifier": "M67", "position": [9, 2], "step": 218, "ordinal_position": 219}, {"identifier": "U03", "position": [9, 3], "step": 219, "ordinal_position": 220}, {"identifier": "L09", "position": [9, 4], "step": 220, "ordinal_position": 221}, {"identifier": "Q14", "position": [9, 5], "step": 221, "ordinal_position": 222}, {"identifier": "K92", "position": [9, 6], "step": 222, "ordinal_position": 223}, {"identifier": "Q61", "position": [9, 7], "step": 223, "ordinal_position": 224}, {"identifier": "A78", "position": [9, 8], "step": 224, "ordinal_position": 225}, {"identifier": "K42", "position": [9, 9], "step": 225, "ordinal_position": 226}, {"identifier": "E96", "position": [8, 9], "step": 226, "ordinal_position": 227}, {"identifier": "Y38", "position": [7, 9], "step": 227, "ordinal_position": 228}, {"identifier": "L41", "position": [7, 8], "step": 228, "ordinal_position": 229}, {"identifier": "K50", "position": [7, 7], "step": 229, "ordinal_position": 230}, {"identifier": "V53", "position": [7, 6], "step": 230, "ordinal_position": 231}, {"identifier": "S40", "position": [7, 5], "step": 231, "ordinal_position": 232}, {"identifier": "S83", "position": [7, 4], "step": 232, "ordinal_position": 233}, {"identifier": "C72", "position": [7, 3], "step": 233, "ordinal_position": 234}, {"identifier": "L49", "position": [7, 2], "step": 234, "ordinal_position": 235}, {"identifier": "R41", "position": [7, 1], "step": 235, "ordinal_position": 236}, {"identifier": "R33", "position": [8, 1], "step": 236, "ordinal_position": 237}, {"identifier": "D88", "position": [9, 1], "step": 237, "ordinal_position": 238}, {"identifier": "M67", "position": [9, 2], "step": 238, "ordinal_position": 239}, {"identifier": "U03", "position": [9, 3], "step": 239, "ordinal_position": 240}, {"identifier": "L09", "position": [9, 4], "step": 240, "ordinal_position": 241}, {"identifier": "Q14", "position": [9, 5], "step": 241, "ordinal_position": 242}, {"identifier": "K92", "position": [9, 6], "step": 242, "ordinal_position": 243}, {"identifier": "Q61", "position": [9, 7], "step": 243, "ordinal_position": 244}, {"identifier": "A78", "position": [9, 8], "step": 244, "ordinal_position": 245}, {"identifier": "K42", "position": [9, 9], "step": 245, "ordinal_position": 246}, {"identifier": "E96", "position": [8, 9], "step": 246, "ordinal_position": 247}, {"identifier": "Y38", "position": [7, 9], "step": 247, "ordinal_position": 248}, {"identifier": "L41", "position": [7, 8], "step": 248, "ordinal_position": 249}, {"identifier": "K50", "position": [7, 7], "step": 249, "ordinal_position": 250}, {"identifier": "V53", "position": [7, 6], "step": 250, "ordinal_position": 251}, {"identifier": "S40", "position": [7, 5], "step": 251, "ordinal_position": 252}, {"identifier": "S83", "position": [7, 4], "step": 252, "ordinal_position": 253}, {"identifier": "C72", "position": [7, 3], "step": 253, "ordinal_position": 254}, {"identifier": "L49", "position": [7, 2], "step": 254, "ordinal_position": 255}, {"identifier": "R41", "position": [7, 1], "step": 255, "ordinal_position": 256}, {"identifier": "R33", "position": [8, 1], "step": 256, "ordinal_position": 257}, {"identifier": "D88", "position": [9, 1], "step": 257, "ordinal_position": 258}, {"identifier": "M67", "position": [9, 2], "step": 258, "ordinal_position": 259}, {"identifier": "U03", "position": [9, 3], "step": 259, "ordinal_position": 260}, {"identifier": "L09", "position": [9, 4], "step": 260, "ordinal_position": 261}, {"identifier": "Q14", "position": [9, 5], "step": 261, "ordinal_position": 262}, {"identifier": "K92", "position": [9, 6], "step": 262, "ordinal_position": 263}, {"identifier": "Q61", "position": [9, 7], "step": 263, "ordinal_position": 264}, {"identifier": "A78", "position": [9, 8], "step": 264, "ordinal_position": 265}, {"identifier": "K42", "position": [9, 9], "step": 265, "ordinal_position": 266}, {"identifier": "E96", "position": [8, 9], "step": 266, "ordinal_position": 267}, {"identifier": "Y38", "position": [7, 9], "step": 267, "ordinal_position": 268}, {"identifier": "L41", "position": [7, 8], "step": 268, "ordinal_position": 269}, {"identifier": "K50", "position": [7, 7], "step": 269, "ordinal_position": 270}, {"identifier": "V53", "position": [7, 6], "step": 270, "ordinal_position": 271}, {"identifier": "S40", "position": [7, 5], "step": 271, "ordinal_position": 272}, {"identifier": "S83", "position": [7, 4], "step": 272, "ordinal_position": 273}, {"identifier": "C72", "position": [7, 3], "step": 273, "ordinal_position": 274}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 274, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_014.json"}} {"qa_id": "764463724f1c46b29e045d565ae71257", "image_id": "L3-MazeLoop-test_11x11_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q61, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 242nd position in this traversal?", "start_object_id": "Q61", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [242], "ordinal_strings": ["242nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "A78", "traversal_path": [{"identifier": "Q61", "position": [9, 7], "step": 0, "ordinal_position": 1}, {"identifier": "A78", "position": [9, 8], "step": 1, "ordinal_position": 2}, {"identifier": "K42", "position": [9, 9], "step": 2, "ordinal_position": 3}, {"identifier": "E96", "position": [8, 9], "step": 3, "ordinal_position": 4}, {"identifier": "Y38", "position": [7, 9], "step": 4, "ordinal_position": 5}, {"identifier": "L41", "position": [7, 8], "step": 5, "ordinal_position": 6}, {"identifier": "K50", "position": [7, 7], "step": 6, "ordinal_position": 7}, {"identifier": "V53", "position": [7, 6], "step": 7, "ordinal_position": 8}, {"identifier": "S40", "position": [7, 5], "step": 8, "ordinal_position": 9}, {"identifier": "S83", "position": [7, 4], "step": 9, "ordinal_position": 10}, {"identifier": "C72", "position": [7, 3], "step": 10, "ordinal_position": 11}, {"identifier": "L49", "position": [7, 2], "step": 11, "ordinal_position": 12}, {"identifier": "R41", "position": [7, 1], "step": 12, "ordinal_position": 13}, {"identifier": "R33", "position": [8, 1], "step": 13, "ordinal_position": 14}, {"identifier": "D88", "position": [9, 1], "step": 14, "ordinal_position": 15}, {"identifier": "M67", "position": [9, 2], "step": 15, "ordinal_position": 16}, {"identifier": "U03", "position": [9, 3], "step": 16, "ordinal_position": 17}, {"identifier": "L09", "position": [9, 4], "step": 17, "ordinal_position": 18}, {"identifier": "Q14", "position": [9, 5], "step": 18, "ordinal_position": 19}, {"identifier": "K92", "position": [9, 6], "step": 19, "ordinal_position": 20}, {"identifier": "Q61", "position": [9, 7], "step": 20, "ordinal_position": 21}, {"identifier": "A78", "position": [9, 8], "step": 21, "ordinal_position": 22}, {"identifier": "K42", "position": [9, 9], "step": 22, "ordinal_position": 23}, {"identifier": "E96", "position": [8, 9], "step": 23, "ordinal_position": 24}, {"identifier": "Y38", "position": [7, 9], "step": 24, "ordinal_position": 25}, {"identifier": "L41", "position": [7, 8], "step": 25, "ordinal_position": 26}, {"identifier": "K50", "position": [7, 7], "step": 26, "ordinal_position": 27}, {"identifier": "V53", "position": [7, 6], "step": 27, "ordinal_position": 28}, {"identifier": "S40", "position": [7, 5], "step": 28, "ordinal_position": 29}, {"identifier": "S83", "position": [7, 4], "step": 29, "ordinal_position": 30}, {"identifier": "C72", "position": [7, 3], "step": 30, "ordinal_position": 31}, {"identifier": "L49", "position": [7, 2], "step": 31, "ordinal_position": 32}, {"identifier": "R41", "position": [7, 1], "step": 32, "ordinal_position": 33}, {"identifier": "R33", "position": [8, 1], "step": 33, "ordinal_position": 34}, {"identifier": "D88", "position": [9, 1], "step": 34, "ordinal_position": 35}, {"identifier": "M67", "position": [9, 2], "step": 35, "ordinal_position": 36}, {"identifier": "U03", "position": [9, 3], "step": 36, "ordinal_position": 37}, {"identifier": "L09", "position": [9, 4], "step": 37, "ordinal_position": 38}, {"identifier": "Q14", "position": [9, 5], "step": 38, "ordinal_position": 39}, {"identifier": "K92", "position": [9, 6], "step": 39, "ordinal_position": 40}, {"identifier": "Q61", "position": [9, 7], "step": 40, "ordinal_position": 41}, {"identifier": "A78", "position": [9, 8], "step": 41, "ordinal_position": 42}, {"identifier": "K42", "position": [9, 9], "step": 42, "ordinal_position": 43}, {"identifier": "E96", "position": [8, 9], "step": 43, "ordinal_position": 44}, {"identifier": "Y38", "position": [7, 9], "step": 44, "ordinal_position": 45}, {"identifier": "L41", "position": [7, 8], "step": 45, "ordinal_position": 46}, {"identifier": "K50", "position": [7, 7], "step": 46, "ordinal_position": 47}, {"identifier": "V53", "position": [7, 6], "step": 47, "ordinal_position": 48}, {"identifier": "S40", "position": [7, 5], "step": 48, "ordinal_position": 49}, {"identifier": "S83", "position": [7, 4], "step": 49, "ordinal_position": 50}, {"identifier": "C72", "position": [7, 3], "step": 50, "ordinal_position": 51}, {"identifier": "L49", "position": [7, 2], "step": 51, "ordinal_position": 52}, {"identifier": "R41", "position": [7, 1], "step": 52, "ordinal_position": 53}, {"identifier": "R33", "position": [8, 1], "step": 53, "ordinal_position": 54}, {"identifier": "D88", "position": [9, 1], "step": 54, "ordinal_position": 55}, {"identifier": "M67", "position": [9, 2], "step": 55, "ordinal_position": 56}, {"identifier": "U03", "position": [9, 3], "step": 56, "ordinal_position": 57}, {"identifier": "L09", "position": [9, 4], "step": 57, "ordinal_position": 58}, {"identifier": "Q14", "position": [9, 5], "step": 58, "ordinal_position": 59}, {"identifier": "K92", "position": [9, 6], "step": 59, "ordinal_position": 60}, {"identifier": "Q61", "position": [9, 7], "step": 60, "ordinal_position": 61}, {"identifier": "A78", "position": [9, 8], "step": 61, "ordinal_position": 62}, {"identifier": "K42", "position": [9, 9], "step": 62, "ordinal_position": 63}, {"identifier": "E96", "position": [8, 9], "step": 63, "ordinal_position": 64}, {"identifier": "Y38", "position": [7, 9], "step": 64, "ordinal_position": 65}, {"identifier": "L41", "position": [7, 8], "step": 65, "ordinal_position": 66}, {"identifier": "K50", "position": [7, 7], "step": 66, "ordinal_position": 67}, {"identifier": "V53", "position": [7, 6], "step": 67, "ordinal_position": 68}, {"identifier": "S40", "position": [7, 5], "step": 68, "ordinal_position": 69}, {"identifier": "S83", "position": [7, 4], "step": 69, "ordinal_position": 70}, {"identifier": "C72", "position": [7, 3], "step": 70, "ordinal_position": 71}, {"identifier": "L49", "position": [7, 2], "step": 71, "ordinal_position": 72}, {"identifier": "R41", "position": [7, 1], "step": 72, "ordinal_position": 73}, {"identifier": "R33", "position": [8, 1], "step": 73, "ordinal_position": 74}, {"identifier": "D88", "position": [9, 1], "step": 74, "ordinal_position": 75}, {"identifier": "M67", "position": [9, 2], "step": 75, "ordinal_position": 76}, {"identifier": "U03", "position": [9, 3], "step": 76, "ordinal_position": 77}, {"identifier": "L09", "position": [9, 4], "step": 77, "ordinal_position": 78}, {"identifier": "Q14", "position": [9, 5], "step": 78, "ordinal_position": 79}, {"identifier": "K92", "position": [9, 6], "step": 79, "ordinal_position": 80}, {"identifier": "Q61", "position": [9, 7], "step": 80, "ordinal_position": 81}, {"identifier": "A78", "position": [9, 8], "step": 81, "ordinal_position": 82}, {"identifier": "K42", "position": [9, 9], "step": 82, "ordinal_position": 83}, {"identifier": "E96", "position": [8, 9], "step": 83, "ordinal_position": 84}, {"identifier": "Y38", "position": [7, 9], "step": 84, "ordinal_position": 85}, {"identifier": "L41", "position": [7, 8], "step": 85, "ordinal_position": 86}, {"identifier": "K50", "position": [7, 7], "step": 86, "ordinal_position": 87}, {"identifier": "V53", "position": [7, 6], "step": 87, "ordinal_position": 88}, {"identifier": "S40", "position": [7, 5], "step": 88, "ordinal_position": 89}, {"identifier": "S83", "position": [7, 4], "step": 89, "ordinal_position": 90}, {"identifier": "C72", "position": [7, 3], "step": 90, "ordinal_position": 91}, {"identifier": "L49", "position": [7, 2], "step": 91, "ordinal_position": 92}, {"identifier": "R41", "position": [7, 1], "step": 92, "ordinal_position": 93}, {"identifier": "R33", "position": [8, 1], "step": 93, "ordinal_position": 94}, {"identifier": "D88", "position": [9, 1], "step": 94, "ordinal_position": 95}, {"identifier": "M67", "position": [9, 2], "step": 95, "ordinal_position": 96}, {"identifier": "U03", "position": [9, 3], "step": 96, "ordinal_position": 97}, {"identifier": "L09", "position": [9, 4], "step": 97, "ordinal_position": 98}, {"identifier": "Q14", "position": [9, 5], "step": 98, "ordinal_position": 99}, {"identifier": "K92", "position": [9, 6], "step": 99, "ordinal_position": 100}, {"identifier": "Q61", "position": [9, 7], "step": 100, "ordinal_position": 101}, {"identifier": "A78", "position": [9, 8], "step": 101, "ordinal_position": 102}, {"identifier": "K42", "position": [9, 9], "step": 102, "ordinal_position": 103}, {"identifier": "E96", "position": [8, 9], "step": 103, "ordinal_position": 104}, {"identifier": "Y38", "position": [7, 9], "step": 104, "ordinal_position": 105}, {"identifier": "L41", "position": [7, 8], "step": 105, "ordinal_position": 106}, {"identifier": "K50", "position": [7, 7], "step": 106, "ordinal_position": 107}, {"identifier": "V53", "position": [7, 6], "step": 107, "ordinal_position": 108}, {"identifier": "S40", "position": [7, 5], "step": 108, "ordinal_position": 109}, {"identifier": "S83", "position": [7, 4], "step": 109, "ordinal_position": 110}, {"identifier": "C72", "position": [7, 3], "step": 110, "ordinal_position": 111}, {"identifier": "L49", "position": [7, 2], "step": 111, "ordinal_position": 112}, {"identifier": "R41", "position": [7, 1], "step": 112, "ordinal_position": 113}, {"identifier": "R33", "position": [8, 1], "step": 113, "ordinal_position": 114}, {"identifier": "D88", "position": [9, 1], "step": 114, "ordinal_position": 115}, {"identifier": "M67", "position": [9, 2], "step": 115, "ordinal_position": 116}, {"identifier": "U03", "position": [9, 3], "step": 116, "ordinal_position": 117}, {"identifier": "L09", "position": [9, 4], "step": 117, "ordinal_position": 118}, {"identifier": "Q14", "position": [9, 5], "step": 118, "ordinal_position": 119}, {"identifier": "K92", "position": [9, 6], "step": 119, "ordinal_position": 120}, {"identifier": "Q61", "position": [9, 7], "step": 120, "ordinal_position": 121}, {"identifier": "A78", "position": [9, 8], "step": 121, "ordinal_position": 122}, {"identifier": "K42", "position": [9, 9], "step": 122, "ordinal_position": 123}, {"identifier": "E96", "position": [8, 9], "step": 123, "ordinal_position": 124}, {"identifier": "Y38", "position": [7, 9], "step": 124, "ordinal_position": 125}, {"identifier": "L41", "position": [7, 8], "step": 125, "ordinal_position": 126}, {"identifier": "K50", "position": [7, 7], "step": 126, "ordinal_position": 127}, {"identifier": "V53", "position": [7, 6], "step": 127, "ordinal_position": 128}, {"identifier": "S40", "position": [7, 5], "step": 128, "ordinal_position": 129}, {"identifier": "S83", "position": [7, 4], "step": 129, "ordinal_position": 130}, {"identifier": "C72", "position": [7, 3], "step": 130, "ordinal_position": 131}, {"identifier": "L49", "position": [7, 2], "step": 131, "ordinal_position": 132}, {"identifier": "R41", "position": [7, 1], "step": 132, "ordinal_position": 133}, {"identifier": "R33", "position": [8, 1], "step": 133, "ordinal_position": 134}, {"identifier": "D88", "position": [9, 1], "step": 134, "ordinal_position": 135}, {"identifier": "M67", 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147, "ordinal_position": 148}, {"identifier": "S40", "position": [7, 5], "step": 148, "ordinal_position": 149}, {"identifier": "S83", "position": [7, 4], "step": 149, "ordinal_position": 150}, {"identifier": "C72", "position": [7, 3], "step": 150, "ordinal_position": 151}, {"identifier": "L49", "position": [7, 2], "step": 151, "ordinal_position": 152}, {"identifier": "R41", "position": [7, 1], "step": 152, "ordinal_position": 153}, {"identifier": "R33", "position": [8, 1], "step": 153, "ordinal_position": 154}, {"identifier": "D88", "position": [9, 1], "step": 154, "ordinal_position": 155}, {"identifier": "M67", "position": [9, 2], "step": 155, "ordinal_position": 156}, {"identifier": "U03", "position": [9, 3], "step": 156, "ordinal_position": 157}, {"identifier": "L09", "position": [9, 4], "step": 157, "ordinal_position": 158}, {"identifier": "Q14", "position": [9, 5], "step": 158, "ordinal_position": 159}, {"identifier": "K92", "position": [9, 6], "step": 159, "ordinal_position": 160}, {"identifier": "Q61", "position": [9, 7], "step": 160, "ordinal_position": 161}, {"identifier": "A78", "position": [9, 8], "step": 161, "ordinal_position": 162}, {"identifier": "K42", "position": [9, 9], "step": 162, "ordinal_position": 163}, {"identifier": "E96", "position": [8, 9], "step": 163, "ordinal_position": 164}, {"identifier": "Y38", "position": [7, 9], "step": 164, "ordinal_position": 165}, {"identifier": "L41", "position": [7, 8], "step": 165, "ordinal_position": 166}, {"identifier": "K50", "position": [7, 7], "step": 166, "ordinal_position": 167}, {"identifier": "V53", "position": [7, 6], "step": 167, "ordinal_position": 168}, {"identifier": "S40", "position": [7, 5], "step": 168, "ordinal_position": 169}, {"identifier": "S83", "position": [7, 4], "step": 169, "ordinal_position": 170}, {"identifier": "C72", "position": [7, 3], "step": 170, "ordinal_position": 171}, {"identifier": "L49", "position": [7, 2], "step": 171, "ordinal_position": 172}, {"identifier": "R41", "position": [7, 1], "step": 172, "ordinal_position": 173}, {"identifier": "R33", "position": [8, 1], "step": 173, "ordinal_position": 174}, {"identifier": "D88", "position": [9, 1], "step": 174, "ordinal_position": 175}, {"identifier": "M67", "position": [9, 2], "step": 175, "ordinal_position": 176}, {"identifier": "U03", "position": [9, 3], "step": 176, "ordinal_position": 177}, {"identifier": "L09", "position": [9, 4], "step": 177, "ordinal_position": 178}, {"identifier": "Q14", "position": [9, 5], "step": 178, "ordinal_position": 179}, {"identifier": "K92", "position": [9, 6], "step": 179, "ordinal_position": 180}, {"identifier": "Q61", "position": [9, 7], "step": 180, "ordinal_position": 181}, {"identifier": "A78", "position": [9, 8], "step": 181, "ordinal_position": 182}, {"identifier": "K42", "position": [9, 9], "step": 182, "ordinal_position": 183}, {"identifier": "E96", "position": [8, 9], "step": 183, "ordinal_position": 184}, {"identifier": "Y38", "position": [7, 9], "step": 184, "ordinal_position": 185}, {"identifier": "L41", "position": [7, 8], "step": 185, "ordinal_position": 186}, {"identifier": "K50", "position": [7, 7], "step": 186, "ordinal_position": 187}, {"identifier": "V53", "position": [7, 6], "step": 187, "ordinal_position": 188}, {"identifier": "S40", "position": [7, 5], "step": 188, "ordinal_position": 189}, {"identifier": "S83", "position": [7, 4], "step": 189, "ordinal_position": 190}, {"identifier": "C72", "position": [7, 3], "step": 190, "ordinal_position": 191}, {"identifier": "L49", "position": [7, 2], "step": 191, "ordinal_position": 192}, {"identifier": "R41", "position": [7, 1], "step": 192, "ordinal_position": 193}, {"identifier": "R33", "position": [8, 1], "step": 193, "ordinal_position": 194}, {"identifier": "D88", "position": [9, 1], "step": 194, "ordinal_position": 195}, {"identifier": "M67", "position": [9, 2], "step": 195, "ordinal_position": 196}, {"identifier": "U03", "position": [9, 3], "step": 196, "ordinal_position": 197}, {"identifier": "L09", "position": [9, 4], "step": 197, "ordinal_position": 198}, {"identifier": "Q14", "position": [9, 5], "step": 198, "ordinal_position": 199}, {"identifier": "K92", "position": [9, 6], "step": 199, "ordinal_position": 200}, {"identifier": "Q61", "position": [9, 7], "step": 200, "ordinal_position": 201}, {"identifier": "A78", "position": [9, 8], "step": 201, "ordinal_position": 202}, {"identifier": "K42", "position": [9, 9], "step": 202, "ordinal_position": 203}, {"identifier": "E96", "position": [8, 9], "step": 203, "ordinal_position": 204}, {"identifier": "Y38", "position": [7, 9], "step": 204, "ordinal_position": 205}, {"identifier": "L41", "position": [7, 8], "step": 205, "ordinal_position": 206}, {"identifier": "K50", "position": [7, 7], "step": 206, "ordinal_position": 207}, {"identifier": "V53", "position": [7, 6], "step": 207, "ordinal_position": 208}, {"identifier": "S40", "position": [7, 5], "step": 208, "ordinal_position": 209}, {"identifier": "S83", "position": [7, 4], "step": 209, "ordinal_position": 210}, {"identifier": "C72", "position": [7, 3], "step": 210, "ordinal_position": 211}, {"identifier": "L49", "position": [7, 2], "step": 211, "ordinal_position": 212}, {"identifier": "R41", "position": [7, 1], "step": 212, "ordinal_position": 213}, {"identifier": "R33", "position": [8, 1], "step": 213, "ordinal_position": 214}, {"identifier": "D88", "position": [9, 1], "step": 214, "ordinal_position": 215}, {"identifier": "M67", "position": [9, 2], "step": 215, "ordinal_position": 216}, {"identifier": "U03", "position": [9, 3], "step": 216, "ordinal_position": 217}, {"identifier": "L09", "position": [9, 4], "step": 217, "ordinal_position": 218}, {"identifier": "Q14", "position": [9, 5], "step": 218, "ordinal_position": 219}, {"identifier": "K92", "position": [9, 6], "step": 219, "ordinal_position": 220}, {"identifier": "Q61", "position": [9, 7], "step": 220, "ordinal_position": 221}, {"identifier": "A78", "position": [9, 8], "step": 221, "ordinal_position": 222}, {"identifier": "K42", "position": [9, 9], "step": 222, "ordinal_position": 223}, {"identifier": "E96", "position": [8, 9], "step": 223, "ordinal_position": 224}, {"identifier": "Y38", "position": [7, 9], "step": 224, "ordinal_position": 225}, {"identifier": "L41", "position": [7, 8], "step": 225, "ordinal_position": 226}, {"identifier": "K50", "position": [7, 7], "step": 226, "ordinal_position": 227}, {"identifier": "V53", "position": [7, 6], "step": 227, "ordinal_position": 228}, {"identifier": "S40", "position": [7, 5], "step": 228, "ordinal_position": 229}, {"identifier": "S83", "position": [7, 4], "step": 229, "ordinal_position": 230}, {"identifier": "C72", "position": [7, 3], "step": 230, "ordinal_position": 231}, {"identifier": "L49", "position": [7, 2], "step": 231, "ordinal_position": 232}, {"identifier": "R41", "position": [7, 1], "step": 232, "ordinal_position": 233}, {"identifier": "R33", "position": [8, 1], "step": 233, "ordinal_position": 234}, {"identifier": "D88", "position": [9, 1], "step": 234, "ordinal_position": 235}, {"identifier": "M67", "position": [9, 2], "step": 235, "ordinal_position": 236}, {"identifier": "U03", "position": [9, 3], "step": 236, "ordinal_position": 237}, {"identifier": "L09", "position": [9, 4], "step": 237, "ordinal_position": 238}, {"identifier": "Q14", "position": [9, 5], "step": 238, "ordinal_position": 239}, {"identifier": "K92", "position": [9, 6], "step": 239, "ordinal_position": 240}, {"identifier": "Q61", "position": [9, 7], "step": 240, "ordinal_position": 241}, {"identifier": "A78", "position": [9, 8], "step": 241, "ordinal_position": 242}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 242, "direction": "down", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_014.json"}} {"qa_id": "4771b3dfa2d14c69a7435f74d1592037", "image_id": "L3-MazeLoop-test_11x11_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y00, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 143rd position in this traversal?", "start_object_id": "Y00", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [143], "ordinal_strings": ["143rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "M67", "traversal_path": [{"identifier": "Y00", "position": [5, 4], "step": 0, "ordinal_position": 1}, {"identifier": "T93", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "E19", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "T43", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "G89", "position": [3, 6], "step": 4, "ordinal_position": 5}, {"identifier": "T86", "position": [3, 7], "step": 5, "ordinal_position": 6}, {"identifier": "X40", "position": [3, 8], "step": 6, "ordinal_position": 7}, {"identifier": "P83", "position": [3, 9], "step": 7, "ordinal_position": 8}, {"identifier": "S07", "position": [4, 9], "step": 8, "ordinal_position": 9}, {"identifier": "V90", "position": [5, 9], "step": 9, "ordinal_position": 10}, {"identifier": "T67", "position": [5, 8], "step": 10, "ordinal_position": 11}, {"identifier": "L52", "position": [5, 7], "step": 11, "ordinal_position": 12}, {"identifier": "S64", "position": [6, 7], "step": 12, "ordinal_position": 13}, {"identifier": "K50", "position": [7, 7], "step": 13, "ordinal_position": 14}, {"identifier": "V53", "position": [7, 6], "step": 14, "ordinal_position": 15}, {"identifier": "S40", "position": [7, 5], "step": 15, "ordinal_position": 16}, {"identifier": "S83", "position": [7, 4], "step": 16, "ordinal_position": 17}, {"identifier": "C72", "position": [7, 3], "step": 17, "ordinal_position": 18}, {"identifier": "L49", "position": [7, 2], "step": 18, "ordinal_position": 19}, {"identifier": "R41", "position": [7, 1], "step": 19, "ordinal_position": 20}, {"identifier": "R33", "position": [8, 1], "step": 20, "ordinal_position": 21}, {"identifier": "D88", "position": [9, 1], "step": 21, "ordinal_position": 22}, {"identifier": "M67", "position": [9, 2], "step": 22, "ordinal_position": 23}, {"identifier": "U03", "position": [9, 3], "step": 23, "ordinal_position": 24}, {"identifier": "L09", "position": [9, 4], "step": 24, "ordinal_position": 25}, {"identifier": "Q14", "position": [9, 5], "step": 25, "ordinal_position": 26}, {"identifier": "K92", "position": [9, 6], "step": 26, "ordinal_position": 27}, {"identifier": "Q61", "position": [9, 7], "step": 27, "ordinal_position": 28}, {"identifier": "A78", "position": [9, 8], "step": 28, "ordinal_position": 29}, {"identifier": "K42", "position": [9, 9], "step": 29, "ordinal_position": 30}, {"identifier": "E96", "position": [8, 9], "step": 30, "ordinal_position": 31}, {"identifier": "Y38", "position": [7, 9], "step": 31, "ordinal_position": 32}, {"identifier": "L41", "position": [7, 8], "step": 32, "ordinal_position": 33}, {"identifier": "K50", "position": [7, 7], "step": 33, "ordinal_position": 34}, {"identifier": "V53", "position": [7, 6], "step": 34, "ordinal_position": 35}, {"identifier": "S40", "position": [7, 5], "step": 35, "ordinal_position": 36}, {"identifier": "S83", "position": [7, 4], "step": 36, "ordinal_position": 37}, {"identifier": "C72", "position": [7, 3], "step": 37, "ordinal_position": 38}, {"identifier": "L49", "position": [7, 2], "step": 38, "ordinal_position": 39}, {"identifier": "R41", "position": [7, 1], "step": 39, "ordinal_position": 40}, {"identifier": "R33", "position": [8, 1], "step": 40, "ordinal_position": 41}, {"identifier": "D88", "position": [9, 1], "step": 41, "ordinal_position": 42}, {"identifier": "M67", "position": [9, 2], "step": 42, "ordinal_position": 43}, {"identifier": "U03", "position": [9, 3], "step": 43, "ordinal_position": 44}, {"identifier": "L09", "position": [9, 4], "step": 44, "ordinal_position": 45}, {"identifier": "Q14", "position": [9, 5], "step": 45, "ordinal_position": 46}, {"identifier": "K92", "position": [9, 6], "step": 46, "ordinal_position": 47}, {"identifier": "Q61", "position": [9, 7], "step": 47, "ordinal_position": 48}, {"identifier": "A78", "position": [9, 8], "step": 48, "ordinal_position": 49}, {"identifier": "K42", "position": [9, 9], "step": 49, "ordinal_position": 50}, {"identifier": "E96", "position": [8, 9], "step": 50, "ordinal_position": 51}, {"identifier": "Y38", "position": [7, 9], "step": 51, "ordinal_position": 52}, {"identifier": "L41", "position": [7, 8], "step": 52, "ordinal_position": 53}, {"identifier": "K50", "position": [7, 7], "step": 53, "ordinal_position": 54}, {"identifier": "V53", "position": [7, 6], "step": 54, "ordinal_position": 55}, {"identifier": "S40", "position": [7, 5], "step": 55, "ordinal_position": 56}, {"identifier": "S83", "position": [7, 4], "step": 56, "ordinal_position": 57}, {"identifier": "C72", "position": [7, 3], "step": 57, "ordinal_position": 58}, {"identifier": "L49", "position": [7, 2], "step": 58, "ordinal_position": 59}, {"identifier": "R41", "position": [7, 1], "step": 59, "ordinal_position": 60}, {"identifier": "R33", "position": [8, 1], "step": 60, "ordinal_position": 61}, {"identifier": "D88", "position": [9, 1], "step": 61, "ordinal_position": 62}, {"identifier": "M67", "position": [9, 2], "step": 62, "ordinal_position": 63}, {"identifier": "U03", "position": [9, 3], "step": 63, "ordinal_position": 64}, {"identifier": "L09", "position": [9, 4], "step": 64, "ordinal_position": 65}, {"identifier": "Q14", "position": [9, 5], "step": 65, "ordinal_position": 66}, {"identifier": "K92", "position": [9, 6], "step": 66, "ordinal_position": 67}, {"identifier": "Q61", "position": [9, 7], "step": 67, "ordinal_position": 68}, {"identifier": "A78", "position": [9, 8], "step": 68, "ordinal_position": 69}, {"identifier": "K42", "position": [9, 9], "step": 69, "ordinal_position": 70}, {"identifier": "E96", "position": [8, 9], "step": 70, "ordinal_position": 71}, {"identifier": "Y38", "position": [7, 9], "step": 71, "ordinal_position": 72}, {"identifier": "L41", "position": [7, 8], "step": 72, "ordinal_position": 73}, {"identifier": "K50", "position": [7, 7], "step": 73, "ordinal_position": 74}, {"identifier": "V53", "position": [7, 6], "step": 74, "ordinal_position": 75}, {"identifier": "S40", "position": [7, 5], "step": 75, "ordinal_position": 76}, {"identifier": "S83", "position": [7, 4], "step": 76, "ordinal_position": 77}, {"identifier": "C72", "position": [7, 3], "step": 77, "ordinal_position": 78}, {"identifier": "L49", "position": [7, 2], "step": 78, "ordinal_position": 79}, {"identifier": "R41", "position": [7, 1], "step": 79, "ordinal_position": 80}, {"identifier": "R33", "position": [8, 1], "step": 80, "ordinal_position": 81}, {"identifier": "D88", "position": [9, 1], "step": 81, "ordinal_position": 82}, {"identifier": "M67", "position": [9, 2], "step": 82, "ordinal_position": 83}, {"identifier": "U03", "position": [9, 3], "step": 83, "ordinal_position": 84}, {"identifier": "L09", "position": [9, 4], "step": 84, "ordinal_position": 85}, {"identifier": "Q14", "position": [9, 5], "step": 85, "ordinal_position": 86}, {"identifier": "K92", "position": [9, 6], "step": 86, "ordinal_position": 87}, {"identifier": "Q61", "position": [9, 7], "step": 87, "ordinal_position": 88}, {"identifier": "A78", "position": [9, 8], "step": 88, "ordinal_position": 89}, {"identifier": "K42", "position": [9, 9], "step": 89, "ordinal_position": 90}, {"identifier": "E96", "position": [8, 9], "step": 90, "ordinal_position": 91}, {"identifier": "Y38", "position": [7, 9], "step": 91, "ordinal_position": 92}, {"identifier": "L41", "position": [7, 8], "step": 92, "ordinal_position": 93}, {"identifier": "K50", "position": [7, 7], "step": 93, "ordinal_position": 94}, {"identifier": "V53", "position": [7, 6], "step": 94, "ordinal_position": 95}, {"identifier": "S40", "position": [7, 5], "step": 95, "ordinal_position": 96}, {"identifier": "S83", "position": [7, 4], "step": 96, "ordinal_position": 97}, {"identifier": "C72", "position": [7, 3], "step": 97, "ordinal_position": 98}, {"identifier": "L49", "position": [7, 2], "step": 98, "ordinal_position": 99}, {"identifier": "R41", "position": [7, 1], "step": 99, "ordinal_position": 100}, {"identifier": "R33", "position": [8, 1], "step": 100, "ordinal_position": 101}, {"identifier": "D88", "position": [9, 1], "step": 101, "ordinal_position": 102}, {"identifier": "M67", "position": [9, 2], "step": 102, "ordinal_position": 103}, {"identifier": "U03", "position": [9, 3], "step": 103, "ordinal_position": 104}, {"identifier": "L09", "position": [9, 4], "step": 104, "ordinal_position": 105}, {"identifier": "Q14", "position": [9, 5], "step": 105, "ordinal_position": 106}, {"identifier": "K92", "position": [9, 6], "step": 106, "ordinal_position": 107}, {"identifier": "Q61", "position": [9, 7], "step": 107, "ordinal_position": 108}, {"identifier": "A78", "position": [9, 8], "step": 108, "ordinal_position": 109}, {"identifier": "K42", "position": [9, 9], "step": 109, "ordinal_position": 110}, {"identifier": "E96", "position": [8, 9], "step": 110, "ordinal_position": 111}, {"identifier": "Y38", "position": [7, 9], "step": 111, "ordinal_position": 112}, {"identifier": "L41", "position": [7, 8], "step": 112, "ordinal_position": 113}, {"identifier": "K50", "position": [7, 7], "step": 113, "ordinal_position": 114}, {"identifier": "V53", "position": [7, 6], "step": 114, "ordinal_position": 115}, {"identifier": "S40", "position": [7, 5], "step": 115, "ordinal_position": 116}, {"identifier": "S83", "position": [7, 4], "step": 116, "ordinal_position": 117}, {"identifier": "C72", "position": [7, 3], "step": 117, "ordinal_position": 118}, {"identifier": "L49", "position": [7, 2], "step": 118, "ordinal_position": 119}, {"identifier": "R41", "position": [7, 1], "step": 119, "ordinal_position": 120}, {"identifier": "R33", "position": [8, 1], "step": 120, "ordinal_position": 121}, {"identifier": "D88", "position": [9, 1], "step": 121, "ordinal_position": 122}, {"identifier": "M67", "position": [9, 2], "step": 122, "ordinal_position": 123}, {"identifier": "U03", "position": [9, 3], "step": 123, "ordinal_position": 124}, {"identifier": "L09", "position": [9, 4], "step": 124, "ordinal_position": 125}, {"identifier": "Q14", "position": [9, 5], "step": 125, "ordinal_position": 126}, {"identifier": "K92", "position": [9, 6], "step": 126, "ordinal_position": 127}, {"identifier": "Q61", "position": [9, 7], "step": 127, "ordinal_position": 128}, {"identifier": "A78", "position": [9, 8], "step": 128, "ordinal_position": 129}, {"identifier": "K42", "position": [9, 9], "step": 129, "ordinal_position": 130}, {"identifier": "E96", "position": [8, 9], "step": 130, "ordinal_position": 131}, {"identifier": "Y38", "position": [7, 9], "step": 131, "ordinal_position": 132}, {"identifier": "L41", "position": [7, 8], "step": 132, "ordinal_position": 133}, {"identifier": "K50", "position": [7, 7], "step": 133, "ordinal_position": 134}, {"identifier": "V53", "position": [7, 6], "step": 134, "ordinal_position": 135}, {"identifier": "S40", "position": [7, 5], "step": 135, "ordinal_position": 136}, {"identifier": "S83", "position": [7, 4], "step": 136, "ordinal_position": 137}, {"identifier": "C72", "position": [7, 3], "step": 137, "ordinal_position": 138}, {"identifier": "L49", "position": [7, 2], "step": 138, "ordinal_position": 139}, {"identifier": "R41", "position": [7, 1], "step": 139, "ordinal_position": 140}, {"identifier": "R33", "position": [8, 1], "step": 140, "ordinal_position": 141}, {"identifier": "D88", "position": [9, 1], "step": 141, "ordinal_position": 142}, {"identifier": "M67", "position": [9, 2], "step": 142, "ordinal_position": 143}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 143, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_014.json"}} {"qa_id": "c147a6556a614d28bc27dd74dc83119c", "image_id": "L3-MazeLoop-test_11x11_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K42, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 264th position in this traversal?", "start_object_id": "K42", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [264], "ordinal_strings": ["264th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "K92", "traversal_path": [{"identifier": "K42", "position": [9, 9], "step": 0, "ordinal_position": 1}, {"identifier": "A78", "position": [9, 8], "step": 1, "ordinal_position": 2}, {"identifier": "Q61", "position": [9, 7], "step": 2, "ordinal_position": 3}, {"identifier": "K92", "position": [9, 6], "step": 3, "ordinal_position": 4}, {"identifier": "Q14", "position": [9, 5], "step": 4, "ordinal_position": 5}, {"identifier": "L09", "position": [9, 4], "step": 5, "ordinal_position": 6}, {"identifier": "U03", "position": [9, 3], "step": 6, "ordinal_position": 7}, {"identifier": "M67", "position": [9, 2], "step": 7, "ordinal_position": 8}, {"identifier": "D88", "position": [9, 1], "step": 8, "ordinal_position": 9}, {"identifier": "R33", "position": [8, 1], "step": 9, "ordinal_position": 10}, {"identifier": "R41", "position": [7, 1], "step": 10, "ordinal_position": 11}, {"identifier": "L49", "position": [7, 2], "step": 11, "ordinal_position": 12}, {"identifier": "C72", "position": [7, 3], "step": 12, "ordinal_position": 13}, {"identifier": "S83", "position": [7, 4], "step": 13, "ordinal_position": 14}, {"identifier": "S40", "position": [7, 5], "step": 14, "ordinal_position": 15}, {"identifier": "V53", "position": [7, 6], "step": 15, "ordinal_position": 16}, {"identifier": "K50", "position": [7, 7], "step": 16, "ordinal_position": 17}, {"identifier": "L41", "position": [7, 8], "step": 17, "ordinal_position": 18}, {"identifier": "Y38", "position": [7, 9], "step": 18, "ordinal_position": 19}, {"identifier": "E96", "position": [8, 9], "step": 19, "ordinal_position": 20}, {"identifier": "K42", "position": [9, 9], "step": 20, "ordinal_position": 21}, {"identifier": "A78", "position": [9, 8], "step": 21, "ordinal_position": 22}, {"identifier": "Q61", "position": [9, 7], "step": 22, "ordinal_position": 23}, {"identifier": "K92", "position": [9, 6], "step": 23, "ordinal_position": 24}, {"identifier": "Q14", 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"step": 49, "ordinal_position": 50}, {"identifier": "R41", "position": [7, 1], "step": 50, "ordinal_position": 51}, {"identifier": "L49", "position": [7, 2], "step": 51, "ordinal_position": 52}, {"identifier": "C72", "position": [7, 3], "step": 52, "ordinal_position": 53}, {"identifier": "S83", "position": [7, 4], "step": 53, "ordinal_position": 54}, {"identifier": "S40", "position": [7, 5], "step": 54, "ordinal_position": 55}, {"identifier": "V53", "position": [7, 6], "step": 55, "ordinal_position": 56}, {"identifier": "K50", "position": [7, 7], "step": 56, "ordinal_position": 57}, {"identifier": "L41", "position": [7, 8], "step": 57, "ordinal_position": 58}, {"identifier": "Y38", "position": [7, 9], "step": 58, "ordinal_position": 59}, {"identifier": "E96", "position": [8, 9], "step": 59, "ordinal_position": 60}, {"identifier": "K42", "position": [9, 9], "step": 60, "ordinal_position": 61}, {"identifier": "A78", "position": [9, 8], "step": 61, "ordinal_position": 62}, {"identifier": "Q61", "position": [9, 7], "step": 62, "ordinal_position": 63}, {"identifier": "K92", "position": [9, 6], "step": 63, "ordinal_position": 64}, {"identifier": "Q14", "position": [9, 5], "step": 64, "ordinal_position": 65}, {"identifier": "L09", "position": [9, 4], "step": 65, "ordinal_position": 66}, {"identifier": "U03", "position": [9, 3], "step": 66, "ordinal_position": 67}, {"identifier": "M67", "position": [9, 2], "step": 67, "ordinal_position": 68}, {"identifier": "D88", "position": [9, 1], "step": 68, "ordinal_position": 69}, {"identifier": "R33", "position": [8, 1], "step": 69, "ordinal_position": 70}, {"identifier": "R41", "position": [7, 1], "step": 70, "ordinal_position": 71}, {"identifier": "L49", "position": [7, 2], "step": 71, "ordinal_position": 72}, {"identifier": "C72", "position": [7, 3], "step": 72, "ordinal_position": 73}, {"identifier": "S83", "position": [7, 4], "step": 73, "ordinal_position": 74}, {"identifier": "S40", "position": [7, 5], "step": 74, 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"position": [9, 2], "step": 87, "ordinal_position": 88}, {"identifier": "D88", "position": [9, 1], "step": 88, "ordinal_position": 89}, {"identifier": "R33", "position": [8, 1], "step": 89, "ordinal_position": 90}, {"identifier": "R41", "position": [7, 1], "step": 90, "ordinal_position": 91}, {"identifier": "L49", "position": [7, 2], "step": 91, "ordinal_position": 92}, {"identifier": "C72", "position": [7, 3], "step": 92, "ordinal_position": 93}, {"identifier": "S83", "position": [7, 4], "step": 93, "ordinal_position": 94}, {"identifier": "S40", "position": [7, 5], "step": 94, "ordinal_position": 95}, {"identifier": "V53", "position": [7, 6], "step": 95, "ordinal_position": 96}, {"identifier": "K50", "position": [7, 7], "step": 96, "ordinal_position": 97}, {"identifier": "L41", "position": [7, 8], "step": 97, "ordinal_position": 98}, {"identifier": "Y38", "position": [7, 9], "step": 98, "ordinal_position": 99}, {"identifier": "E96", "position": [8, 9], "step": 99, "ordinal_position": 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124, "ordinal_position": 125}, {"identifier": "L09", "position": [9, 4], "step": 125, "ordinal_position": 126}, {"identifier": "U03", "position": [9, 3], "step": 126, "ordinal_position": 127}, {"identifier": "M67", "position": [9, 2], "step": 127, "ordinal_position": 128}, {"identifier": "D88", "position": [9, 1], "step": 128, "ordinal_position": 129}, {"identifier": "R33", "position": [8, 1], "step": 129, "ordinal_position": 130}, {"identifier": "R41", "position": [7, 1], "step": 130, "ordinal_position": 131}, {"identifier": "L49", "position": [7, 2], "step": 131, "ordinal_position": 132}, {"identifier": "C72", "position": [7, 3], "step": 132, "ordinal_position": 133}, {"identifier": "S83", "position": [7, 4], "step": 133, "ordinal_position": 134}, {"identifier": "S40", "position": [7, 5], "step": 134, "ordinal_position": 135}, {"identifier": "V53", "position": [7, 6], "step": 135, "ordinal_position": 136}, {"identifier": "K50", "position": [7, 7], "step": 136, "ordinal_position": 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"position": [8, 1], "step": 149, "ordinal_position": 150}, {"identifier": "R41", "position": [7, 1], "step": 150, "ordinal_position": 151}, {"identifier": "L49", "position": [7, 2], "step": 151, "ordinal_position": 152}, {"identifier": "C72", "position": [7, 3], "step": 152, "ordinal_position": 153}, {"identifier": "S83", "position": [7, 4], "step": 153, "ordinal_position": 154}, {"identifier": "S40", "position": [7, 5], "step": 154, "ordinal_position": 155}, {"identifier": "V53", "position": [7, 6], "step": 155, "ordinal_position": 156}, {"identifier": "K50", "position": [7, 7], "step": 156, "ordinal_position": 157}, {"identifier": "L41", "position": [7, 8], "step": 157, "ordinal_position": 158}, {"identifier": "Y38", "position": [7, 9], "step": 158, "ordinal_position": 159}, {"identifier": "E96", "position": [8, 9], "step": 159, "ordinal_position": 160}, {"identifier": "K42", "position": [9, 9], "step": 160, "ordinal_position": 161}, {"identifier": "A78", "position": [9, 8], "step": 161, "ordinal_position": 162}, {"identifier": "Q61", "position": [9, 7], "step": 162, "ordinal_position": 163}, {"identifier": "K92", "position": [9, 6], "step": 163, "ordinal_position": 164}, {"identifier": "Q14", "position": [9, 5], "step": 164, "ordinal_position": 165}, {"identifier": "L09", "position": [9, 4], "step": 165, "ordinal_position": 166}, {"identifier": "U03", "position": [9, 3], "step": 166, "ordinal_position": 167}, {"identifier": "M67", "position": [9, 2], "step": 167, "ordinal_position": 168}, {"identifier": "D88", "position": [9, 1], "step": 168, "ordinal_position": 169}, {"identifier": "R33", "position": [8, 1], "step": 169, "ordinal_position": 170}, {"identifier": "R41", "position": [7, 1], "step": 170, "ordinal_position": 171}, {"identifier": "L49", "position": [7, 2], "step": 171, "ordinal_position": 172}, {"identifier": "C72", "position": [7, 3], "step": 172, "ordinal_position": 173}, {"identifier": "S83", "position": [7, 4], "step": 173, "ordinal_position": 174}, {"identifier": "S40", "position": [7, 5], "step": 174, "ordinal_position": 175}, {"identifier": "V53", "position": [7, 6], "step": 175, "ordinal_position": 176}, {"identifier": "K50", "position": [7, 7], "step": 176, "ordinal_position": 177}, {"identifier": "L41", "position": [7, 8], "step": 177, "ordinal_position": 178}, {"identifier": "Y38", "position": [7, 9], "step": 178, "ordinal_position": 179}, {"identifier": "E96", "position": [8, 9], "step": 179, "ordinal_position": 180}, {"identifier": "K42", "position": [9, 9], "step": 180, "ordinal_position": 181}, {"identifier": "A78", "position": [9, 8], "step": 181, "ordinal_position": 182}, {"identifier": "Q61", "position": [9, 7], "step": 182, "ordinal_position": 183}, {"identifier": "K92", "position": [9, 6], "step": 183, "ordinal_position": 184}, {"identifier": "Q14", "position": [9, 5], "step": 184, "ordinal_position": 185}, {"identifier": "L09", "position": [9, 4], "step": 185, "ordinal_position": 186}, {"identifier": "U03", "position": [9, 3], "step": 186, "ordinal_position": 187}, {"identifier": "M67", "position": [9, 2], "step": 187, "ordinal_position": 188}, {"identifier": "D88", "position": [9, 1], "step": 188, "ordinal_position": 189}, {"identifier": "R33", "position": [8, 1], "step": 189, "ordinal_position": 190}, {"identifier": "R41", "position": [7, 1], "step": 190, "ordinal_position": 191}, {"identifier": "L49", "position": [7, 2], "step": 191, "ordinal_position": 192}, {"identifier": "C72", "position": [7, 3], "step": 192, "ordinal_position": 193}, {"identifier": "S83", "position": [7, 4], "step": 193, "ordinal_position": 194}, {"identifier": "S40", "position": [7, 5], "step": 194, "ordinal_position": 195}, {"identifier": "V53", "position": [7, 6], "step": 195, "ordinal_position": 196}, {"identifier": "K50", "position": [7, 7], "step": 196, "ordinal_position": 197}, {"identifier": "L41", "position": [7, 8], "step": 197, "ordinal_position": 198}, {"identifier": "Y38", "position": [7, 9], "step": 198, "ordinal_position": 199}, {"identifier": "E96", "position": [8, 9], "step": 199, "ordinal_position": 200}, {"identifier": "K42", "position": [9, 9], "step": 200, "ordinal_position": 201}, {"identifier": "A78", "position": [9, 8], "step": 201, "ordinal_position": 202}, {"identifier": "Q61", "position": [9, 7], "step": 202, "ordinal_position": 203}, {"identifier": "K92", "position": [9, 6], "step": 203, "ordinal_position": 204}, {"identifier": "Q14", "position": [9, 5], "step": 204, "ordinal_position": 205}, {"identifier": "L09", "position": [9, 4], "step": 205, "ordinal_position": 206}, {"identifier": "U03", "position": [9, 3], "step": 206, "ordinal_position": 207}, {"identifier": "M67", "position": [9, 2], "step": 207, "ordinal_position": 208}, {"identifier": "D88", "position": [9, 1], "step": 208, "ordinal_position": 209}, {"identifier": "R33", "position": [8, 1], "step": 209, "ordinal_position": 210}, {"identifier": "R41", "position": [7, 1], "step": 210, "ordinal_position": 211}, {"identifier": "L49", "position": [7, 2], "step": 211, "ordinal_position": 212}, {"identifier": "C72", "position": [7, 3], "step": 212, "ordinal_position": 213}, {"identifier": "S83", "position": [7, 4], "step": 213, "ordinal_position": 214}, {"identifier": "S40", "position": [7, 5], "step": 214, "ordinal_position": 215}, {"identifier": "V53", "position": [7, 6], "step": 215, "ordinal_position": 216}, {"identifier": "K50", "position": [7, 7], "step": 216, "ordinal_position": 217}, {"identifier": "L41", "position": [7, 8], "step": 217, "ordinal_position": 218}, {"identifier": "Y38", "position": [7, 9], "step": 218, "ordinal_position": 219}, {"identifier": "E96", "position": [8, 9], "step": 219, "ordinal_position": 220}, {"identifier": "K42", "position": [9, 9], "step": 220, "ordinal_position": 221}, {"identifier": "A78", "position": [9, 8], "step": 221, "ordinal_position": 222}, {"identifier": "Q61", "position": [9, 7], "step": 222, "ordinal_position": 223}, {"identifier": "K92", "position": [9, 6], "step": 223, "ordinal_position": 224}, {"identifier": "Q14", "position": [9, 5], "step": 224, "ordinal_position": 225}, {"identifier": "L09", "position": [9, 4], "step": 225, "ordinal_position": 226}, {"identifier": "U03", "position": [9, 3], "step": 226, "ordinal_position": 227}, {"identifier": "M67", "position": [9, 2], "step": 227, "ordinal_position": 228}, {"identifier": "D88", "position": [9, 1], "step": 228, "ordinal_position": 229}, {"identifier": "R33", "position": [8, 1], "step": 229, "ordinal_position": 230}, {"identifier": "R41", "position": [7, 1], "step": 230, "ordinal_position": 231}, {"identifier": "L49", "position": [7, 2], "step": 231, "ordinal_position": 232}, {"identifier": "C72", "position": [7, 3], "step": 232, "ordinal_position": 233}, {"identifier": "S83", "position": [7, 4], "step": 233, "ordinal_position": 234}, {"identifier": "S40", "position": [7, 5], "step": 234, "ordinal_position": 235}, {"identifier": "V53", "position": [7, 6], "step": 235, "ordinal_position": 236}, {"identifier": "K50", "position": [7, 7], "step": 236, "ordinal_position": 237}, {"identifier": "L41", "position": [7, 8], "step": 237, "ordinal_position": 238}, {"identifier": "Y38", "position": [7, 9], "step": 238, "ordinal_position": 239}, {"identifier": "E96", "position": [8, 9], "step": 239, "ordinal_position": 240}, {"identifier": "K42", "position": [9, 9], "step": 240, "ordinal_position": 241}, {"identifier": "A78", "position": [9, 8], "step": 241, "ordinal_position": 242}, {"identifier": "Q61", "position": [9, 7], "step": 242, "ordinal_position": 243}, {"identifier": "K92", "position": [9, 6], "step": 243, "ordinal_position": 244}, {"identifier": "Q14", "position": [9, 5], "step": 244, "ordinal_position": 245}, {"identifier": "L09", "position": [9, 4], "step": 245, "ordinal_position": 246}, {"identifier": "U03", "position": [9, 3], "step": 246, "ordinal_position": 247}, {"identifier": "M67", "position": [9, 2], "step": 247, "ordinal_position": 248}, {"identifier": "D88", "position": [9, 1], "step": 248, "ordinal_position": 249}, {"identifier": "R33", "position": [8, 1], "step": 249, "ordinal_position": 250}, {"identifier": "R41", "position": [7, 1], "step": 250, "ordinal_position": 251}, {"identifier": "L49", "position": [7, 2], "step": 251, "ordinal_position": 252}, {"identifier": "C72", "position": [7, 3], "step": 252, "ordinal_position": 253}, {"identifier": "S83", "position": [7, 4], "step": 253, "ordinal_position": 254}, {"identifier": "S40", "position": [7, 5], "step": 254, "ordinal_position": 255}, {"identifier": "V53", "position": [7, 6], "step": 255, "ordinal_position": 256}, {"identifier": "K50", "position": [7, 7], "step": 256, "ordinal_position": 257}, {"identifier": "L41", "position": [7, 8], "step": 257, "ordinal_position": 258}, {"identifier": "Y38", "position": [7, 9], "step": 258, "ordinal_position": 259}, {"identifier": "E96", "position": [8, 9], "step": 259, "ordinal_position": 260}, {"identifier": "K42", "position": [9, 9], "step": 260, "ordinal_position": 261}, {"identifier": "A78", "position": [9, 8], "step": 261, "ordinal_position": 262}, {"identifier": "Q61", "position": [9, 7], "step": 262, "ordinal_position": 263}, {"identifier": "K92", "position": [9, 6], "step": 263, "ordinal_position": 264}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 264, "direction": "up", "turn_preference": "right", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_014.json"}} {"qa_id": "edbe5e3660334a178f44286505c6b62b", "image_id": "L3-MazeLoop-test_11x11_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q61, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 218th position in this traversal?", "start_object_id": "Q61", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [218], "ordinal_strings": ["218th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "L09", "traversal_path": [{"identifier": "Q61", "position": [9, 7], "step": 0, "ordinal_position": 1}, {"identifier": "A78", "position": [9, 8], "step": 1, "ordinal_position": 2}, {"identifier": "K42", "position": [9, 9], "step": 2, "ordinal_position": 3}, {"identifier": "E96", "position": [8, 9], "step": 3, "ordinal_position": 4}, {"identifier": "Y38", "position": [7, 9], "step": 4, "ordinal_position": 5}, {"identifier": "L41", "position": [7, 8], "step": 5, "ordinal_position": 6}, {"identifier": "K50", "position": [7, 7], "step": 6, "ordinal_position": 7}, {"identifier": "V53", "position": [7, 6], "step": 7, "ordinal_position": 8}, {"identifier": "S40", "position": [7, 5], "step": 8, "ordinal_position": 9}, {"identifier": "S83", "position": [7, 4], "step": 9, "ordinal_position": 10}, {"identifier": "C72", "position": [7, 3], "step": 10, "ordinal_position": 11}, {"identifier": "L49", "position": [7, 2], "step": 11, "ordinal_position": 12}, {"identifier": "R41", "position": [7, 1], "step": 12, "ordinal_position": 13}, {"identifier": "R33", "position": [8, 1], "step": 13, "ordinal_position": 14}, {"identifier": "D88", "position": [9, 1], "step": 14, "ordinal_position": 15}, {"identifier": "M67", "position": [9, 2], "step": 15, "ordinal_position": 16}, {"identifier": "U03", "position": [9, 3], "step": 16, "ordinal_position": 17}, {"identifier": "L09", "position": [9, 4], "step": 17, "ordinal_position": 18}, {"identifier": "Q14", "position": [9, 5], "step": 18, "ordinal_position": 19}, {"identifier": "K92", "position": [9, 6], "step": 19, "ordinal_position": 20}, {"identifier": "Q61", "position": [9, 7], "step": 20, "ordinal_position": 21}, {"identifier": "A78", "position": [9, 8], "step": 21, "ordinal_position": 22}, {"identifier": "K42", "position": [9, 9], "step": 22, "ordinal_position": 23}, {"identifier": "E96", "position": [8, 9], "step": 23, "ordinal_position": 24}, {"identifier": "Y38", "position": [7, 9], "step": 24, "ordinal_position": 25}, {"identifier": "L41", "position": [7, 8], "step": 25, "ordinal_position": 26}, {"identifier": "K50", "position": [7, 7], "step": 26, "ordinal_position": 27}, {"identifier": "V53", "position": [7, 6], "step": 27, "ordinal_position": 28}, {"identifier": "S40", "position": [7, 5], "step": 28, "ordinal_position": 29}, {"identifier": "S83", "position": [7, 4], "step": 29, "ordinal_position": 30}, {"identifier": "C72", "position": [7, 3], "step": 30, "ordinal_position": 31}, {"identifier": "L49", "position": [7, 2], "step": 31, "ordinal_position": 32}, {"identifier": "R41", "position": [7, 1], "step": 32, "ordinal_position": 33}, {"identifier": "R33", "position": [8, 1], "step": 33, "ordinal_position": 34}, {"identifier": "D88", "position": [9, 1], "step": 34, "ordinal_position": 35}, {"identifier": "M67", "position": [9, 2], "step": 35, "ordinal_position": 36}, {"identifier": "U03", "position": [9, 3], "step": 36, "ordinal_position": 37}, {"identifier": "L09", "position": [9, 4], "step": 37, "ordinal_position": 38}, {"identifier": "Q14", "position": [9, 5], "step": 38, "ordinal_position": 39}, {"identifier": "K92", "position": [9, 6], "step": 39, "ordinal_position": 40}, {"identifier": "Q61", "position": [9, 7], "step": 40, "ordinal_position": 41}, {"identifier": "A78", "position": [9, 8], "step": 41, "ordinal_position": 42}, {"identifier": "K42", "position": [9, 9], "step": 42, "ordinal_position": 43}, {"identifier": "E96", "position": [8, 9], "step": 43, "ordinal_position": 44}, {"identifier": "Y38", "position": [7, 9], "step": 44, "ordinal_position": 45}, {"identifier": "L41", "position": [7, 8], "step": 45, "ordinal_position": 46}, {"identifier": "K50", "position": [7, 7], "step": 46, "ordinal_position": 47}, {"identifier": "V53", "position": [7, 6], "step": 47, "ordinal_position": 48}, {"identifier": "S40", "position": [7, 5], "step": 48, "ordinal_position": 49}, {"identifier": "S83", "position": [7, 4], "step": 49, "ordinal_position": 50}, {"identifier": "C72", "position": [7, 3], "step": 50, "ordinal_position": 51}, {"identifier": "L49", "position": [7, 2], "step": 51, "ordinal_position": 52}, {"identifier": "R41", "position": [7, 1], "step": 52, "ordinal_position": 53}, {"identifier": "R33", "position": [8, 1], "step": 53, "ordinal_position": 54}, {"identifier": "D88", "position": [9, 1], "step": 54, "ordinal_position": 55}, {"identifier": "M67", "position": [9, 2], "step": 55, "ordinal_position": 56}, {"identifier": "U03", "position": [9, 3], "step": 56, "ordinal_position": 57}, {"identifier": "L09", "position": [9, 4], "step": 57, "ordinal_position": 58}, {"identifier": "Q14", "position": [9, 5], "step": 58, "ordinal_position": 59}, {"identifier": "K92", "position": [9, 6], "step": 59, "ordinal_position": 60}, {"identifier": "Q61", "position": [9, 7], "step": 60, "ordinal_position": 61}, {"identifier": "A78", "position": [9, 8], "step": 61, "ordinal_position": 62}, {"identifier": "K42", "position": [9, 9], "step": 62, "ordinal_position": 63}, {"identifier": "E96", "position": [8, 9], "step": 63, "ordinal_position": 64}, {"identifier": "Y38", "position": [7, 9], "step": 64, "ordinal_position": 65}, {"identifier": "L41", "position": [7, 8], "step": 65, "ordinal_position": 66}, {"identifier": "K50", "position": [7, 7], "step": 66, "ordinal_position": 67}, {"identifier": "V53", "position": [7, 6], "step": 67, "ordinal_position": 68}, {"identifier": "S40", "position": [7, 5], "step": 68, "ordinal_position": 69}, {"identifier": "S83", "position": [7, 4], "step": 69, "ordinal_position": 70}, {"identifier": "C72", "position": [7, 3], "step": 70, "ordinal_position": 71}, {"identifier": "L49", "position": [7, 2], "step": 71, "ordinal_position": 72}, {"identifier": "R41", "position": [7, 1], "step": 72, "ordinal_position": 73}, {"identifier": "R33", "position": [8, 1], "step": 73, "ordinal_position": 74}, {"identifier": "D88", "position": [9, 1], "step": 74, "ordinal_position": 75}, {"identifier": "M67", "position": [9, 2], "step": 75, "ordinal_position": 76}, {"identifier": "U03", "position": [9, 3], "step": 76, "ordinal_position": 77}, {"identifier": "L09", "position": [9, 4], "step": 77, "ordinal_position": 78}, {"identifier": "Q14", "position": [9, 5], "step": 78, "ordinal_position": 79}, {"identifier": "K92", "position": [9, 6], "step": 79, "ordinal_position": 80}, {"identifier": "Q61", "position": [9, 7], "step": 80, "ordinal_position": 81}, {"identifier": "A78", "position": [9, 8], "step": 81, "ordinal_position": 82}, {"identifier": "K42", "position": [9, 9], "step": 82, "ordinal_position": 83}, {"identifier": "E96", "position": [8, 9], "step": 83, "ordinal_position": 84}, {"identifier": "Y38", "position": [7, 9], "step": 84, "ordinal_position": 85}, {"identifier": "L41", "position": [7, 8], "step": 85, "ordinal_position": 86}, {"identifier": "K50", "position": [7, 7], "step": 86, "ordinal_position": 87}, {"identifier": "V53", "position": [7, 6], "step": 87, "ordinal_position": 88}, {"identifier": "S40", "position": [7, 5], "step": 88, "ordinal_position": 89}, {"identifier": "S83", "position": [7, 4], "step": 89, "ordinal_position": 90}, {"identifier": "C72", "position": [7, 3], "step": 90, "ordinal_position": 91}, {"identifier": "L49", "position": [7, 2], "step": 91, "ordinal_position": 92}, {"identifier": "R41", "position": [7, 1], "step": 92, "ordinal_position": 93}, {"identifier": "R33", "position": [8, 1], "step": 93, "ordinal_position": 94}, {"identifier": "D88", "position": [9, 1], "step": 94, "ordinal_position": 95}, {"identifier": "M67", "position": [9, 2], "step": 95, "ordinal_position": 96}, {"identifier": "U03", "position": [9, 3], "step": 96, "ordinal_position": 97}, {"identifier": "L09", "position": [9, 4], "step": 97, "ordinal_position": 98}, {"identifier": "Q14", "position": [9, 5], "step": 98, "ordinal_position": 99}, {"identifier": "K92", "position": [9, 6], "step": 99, "ordinal_position": 100}, {"identifier": "Q61", "position": [9, 7], "step": 100, "ordinal_position": 101}, {"identifier": "A78", "position": [9, 8], "step": 101, "ordinal_position": 102}, {"identifier": "K42", "position": [9, 9], "step": 102, "ordinal_position": 103}, {"identifier": "E96", "position": [8, 9], "step": 103, "ordinal_position": 104}, {"identifier": "Y38", "position": [7, 9], "step": 104, "ordinal_position": 105}, {"identifier": "L41", "position": [7, 8], "step": 105, "ordinal_position": 106}, {"identifier": "K50", "position": [7, 7], "step": 106, "ordinal_position": 107}, {"identifier": "V53", "position": [7, 6], "step": 107, "ordinal_position": 108}, {"identifier": "S40", "position": [7, 5], "step": 108, "ordinal_position": 109}, {"identifier": "S83", "position": [7, 4], "step": 109, "ordinal_position": 110}, {"identifier": "C72", "position": [7, 3], "step": 110, "ordinal_position": 111}, {"identifier": "L49", "position": [7, 2], "step": 111, "ordinal_position": 112}, {"identifier": "R41", "position": [7, 1], "step": 112, "ordinal_position": 113}, {"identifier": "R33", "position": [8, 1], "step": 113, "ordinal_position": 114}, {"identifier": "D88", "position": [9, 1], "step": 114, "ordinal_position": 115}, {"identifier": "M67", "position": [9, 2], "step": 115, "ordinal_position": 116}, {"identifier": "U03", "position": [9, 3], "step": 116, "ordinal_position": 117}, {"identifier": "L09", "position": [9, 4], "step": 117, "ordinal_position": 118}, {"identifier": "Q14", "position": [9, 5], "step": 118, "ordinal_position": 119}, {"identifier": "K92", "position": [9, 6], "step": 119, "ordinal_position": 120}, {"identifier": "Q61", "position": [9, 7], "step": 120, "ordinal_position": 121}, {"identifier": "A78", "position": [9, 8], "step": 121, "ordinal_position": 122}, {"identifier": "K42", "position": [9, 9], "step": 122, "ordinal_position": 123}, {"identifier": "E96", "position": [8, 9], "step": 123, "ordinal_position": 124}, {"identifier": "Y38", "position": [7, 9], "step": 124, "ordinal_position": 125}, {"identifier": "L41", "position": [7, 8], "step": 125, "ordinal_position": 126}, {"identifier": "K50", "position": [7, 7], "step": 126, "ordinal_position": 127}, {"identifier": "V53", "position": [7, 6], "step": 127, "ordinal_position": 128}, {"identifier": "S40", "position": [7, 5], "step": 128, "ordinal_position": 129}, {"identifier": "S83", "position": [7, 4], "step": 129, "ordinal_position": 130}, {"identifier": "C72", "position": [7, 3], "step": 130, "ordinal_position": 131}, {"identifier": "L49", "position": [7, 2], "step": 131, "ordinal_position": 132}, {"identifier": "R41", "position": [7, 1], "step": 132, "ordinal_position": 133}, {"identifier": "R33", "position": [8, 1], "step": 133, "ordinal_position": 134}, {"identifier": "D88", "position": [9, 1], "step": 134, "ordinal_position": 135}, {"identifier": "M67", "position": [9, 2], "step": 135, "ordinal_position": 136}, {"identifier": "U03", "position": [9, 3], "step": 136, "ordinal_position": 137}, {"identifier": "L09", "position": [9, 4], "step": 137, "ordinal_position": 138}, {"identifier": "Q14", "position": [9, 5], "step": 138, "ordinal_position": 139}, {"identifier": "K92", "position": [9, 6], "step": 139, "ordinal_position": 140}, {"identifier": "Q61", "position": [9, 7], "step": 140, "ordinal_position": 141}, {"identifier": "A78", "position": [9, 8], "step": 141, "ordinal_position": 142}, {"identifier": "K42", "position": [9, 9], "step": 142, "ordinal_position": 143}, {"identifier": "E96", "position": [8, 9], "step": 143, "ordinal_position": 144}, {"identifier": "Y38", "position": [7, 9], "step": 144, "ordinal_position": 145}, {"identifier": "L41", "position": [7, 8], "step": 145, "ordinal_position": 146}, {"identifier": "K50", "position": [7, 7], "step": 146, "ordinal_position": 147}, {"identifier": "V53", "position": [7, 6], "step": 147, "ordinal_position": 148}, {"identifier": "S40", "position": [7, 5], "step": 148, "ordinal_position": 149}, {"identifier": "S83", "position": [7, 4], "step": 149, "ordinal_position": 150}, {"identifier": "C72", "position": [7, 3], "step": 150, "ordinal_position": 151}, {"identifier": "L49", "position": [7, 2], "step": 151, "ordinal_position": 152}, {"identifier": "R41", "position": [7, 1], "step": 152, "ordinal_position": 153}, {"identifier": "R33", "position": [8, 1], "step": 153, "ordinal_position": 154}, {"identifier": "D88", "position": [9, 1], "step": 154, "ordinal_position": 155}, {"identifier": "M67", "position": [9, 2], "step": 155, "ordinal_position": 156}, {"identifier": "U03", "position": [9, 3], "step": 156, "ordinal_position": 157}, {"identifier": "L09", "position": [9, 4], "step": 157, "ordinal_position": 158}, {"identifier": "Q14", "position": [9, 5], "step": 158, "ordinal_position": 159}, {"identifier": "K92", "position": [9, 6], "step": 159, "ordinal_position": 160}, {"identifier": "Q61", "position": [9, 7], "step": 160, "ordinal_position": 161}, {"identifier": "A78", "position": [9, 8], "step": 161, "ordinal_position": 162}, {"identifier": "K42", "position": [9, 9], "step": 162, "ordinal_position": 163}, {"identifier": "E96", "position": [8, 9], "step": 163, "ordinal_position": 164}, {"identifier": "Y38", "position": [7, 9], "step": 164, "ordinal_position": 165}, {"identifier": "L41", "position": [7, 8], "step": 165, "ordinal_position": 166}, {"identifier": "K50", "position": [7, 7], "step": 166, "ordinal_position": 167}, {"identifier": "V53", "position": [7, 6], "step": 167, "ordinal_position": 168}, {"identifier": "S40", "position": [7, 5], "step": 168, "ordinal_position": 169}, {"identifier": "S83", "position": [7, 4], "step": 169, "ordinal_position": 170}, {"identifier": "C72", "position": [7, 3], "step": 170, "ordinal_position": 171}, {"identifier": "L49", "position": [7, 2], "step": 171, "ordinal_position": 172}, {"identifier": "R41", "position": [7, 1], "step": 172, "ordinal_position": 173}, {"identifier": "R33", "position": [8, 1], "step": 173, "ordinal_position": 174}, {"identifier": "D88", "position": [9, 1], "step": 174, "ordinal_position": 175}, {"identifier": "M67", "position": [9, 2], "step": 175, "ordinal_position": 176}, {"identifier": "U03", "position": [9, 3], "step": 176, "ordinal_position": 177}, {"identifier": "L09", "position": [9, 4], "step": 177, "ordinal_position": 178}, {"identifier": "Q14", "position": [9, 5], "step": 178, "ordinal_position": 179}, {"identifier": "K92", "position": [9, 6], "step": 179, "ordinal_position": 180}, {"identifier": "Q61", "position": [9, 7], "step": 180, "ordinal_position": 181}, {"identifier": "A78", "position": [9, 8], "step": 181, "ordinal_position": 182}, {"identifier": "K42", "position": [9, 9], "step": 182, "ordinal_position": 183}, {"identifier": "E96", "position": [8, 9], "step": 183, "ordinal_position": 184}, {"identifier": "Y38", "position": [7, 9], "step": 184, "ordinal_position": 185}, {"identifier": "L41", "position": [7, 8], "step": 185, "ordinal_position": 186}, {"identifier": "K50", "position": [7, 7], "step": 186, "ordinal_position": 187}, {"identifier": "V53", "position": [7, 6], "step": 187, "ordinal_position": 188}, {"identifier": "S40", "position": [7, 5], "step": 188, "ordinal_position": 189}, {"identifier": "S83", "position": [7, 4], "step": 189, "ordinal_position": 190}, {"identifier": "C72", "position": [7, 3], "step": 190, "ordinal_position": 191}, {"identifier": "L49", "position": [7, 2], "step": 191, "ordinal_position": 192}, {"identifier": "R41", "position": [7, 1], "step": 192, "ordinal_position": 193}, {"identifier": "R33", "position": [8, 1], "step": 193, "ordinal_position": 194}, {"identifier": "D88", "position": [9, 1], "step": 194, "ordinal_position": 195}, {"identifier": "M67", "position": [9, 2], "step": 195, "ordinal_position": 196}, {"identifier": "U03", "position": [9, 3], "step": 196, "ordinal_position": 197}, {"identifier": "L09", "position": [9, 4], "step": 197, "ordinal_position": 198}, {"identifier": "Q14", "position": [9, 5], "step": 198, "ordinal_position": 199}, {"identifier": "K92", "position": [9, 6], "step": 199, "ordinal_position": 200}, {"identifier": "Q61", "position": [9, 7], "step": 200, "ordinal_position": 201}, {"identifier": "A78", "position": [9, 8], "step": 201, "ordinal_position": 202}, {"identifier": "K42", "position": [9, 9], "step": 202, "ordinal_position": 203}, {"identifier": "E96", "position": [8, 9], "step": 203, "ordinal_position": 204}, {"identifier": "Y38", "position": [7, 9], "step": 204, "ordinal_position": 205}, {"identifier": "L41", "position": [7, 8], "step": 205, "ordinal_position": 206}, {"identifier": "K50", "position": [7, 7], "step": 206, "ordinal_position": 207}, {"identifier": "V53", "position": [7, 6], "step": 207, "ordinal_position": 208}, {"identifier": "S40", "position": [7, 5], "step": 208, "ordinal_position": 209}, {"identifier": "S83", "position": [7, 4], "step": 209, "ordinal_position": 210}, {"identifier": "C72", "position": [7, 3], "step": 210, "ordinal_position": 211}, {"identifier": "L49", "position": [7, 2], "step": 211, "ordinal_position": 212}, {"identifier": "R41", "position": [7, 1], "step": 212, "ordinal_position": 213}, {"identifier": "R33", "position": [8, 1], "step": 213, "ordinal_position": 214}, {"identifier": "D88", "position": [9, 1], "step": 214, "ordinal_position": 215}, {"identifier": "M67", "position": [9, 2], "step": 215, "ordinal_position": 216}, {"identifier": "U03", "position": [9, 3], "step": 216, "ordinal_position": 217}, {"identifier": "L09", "position": [9, 4], "step": 217, "ordinal_position": 218}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 218, "direction": "down", "turn_preference": "left", "total_objects": 53, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_014.json"}} {"qa_id": "d771a0ccd6714edabd0039f7ec9f329f", "image_id": "L3-MazeLoop-test_11x11_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D78, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 10th position in this traversal?", "start_object_id": "D78", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [10], "ordinal_strings": ["10th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "J51", "traversal_path": [{"identifier": "D78", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "B69", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "K65", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Z15", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "B94", "position": [6, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Z64", "position": [7, 1], "step": 5, "ordinal_position": 6}, {"identifier": "U17", "position": [8, 1], "step": 6, "ordinal_position": 7}, {"identifier": "A71", "position": [9, 1], "step": 7, "ordinal_position": 8}, {"identifier": "C63", "position": [9, 2], "step": 8, "ordinal_position": 9}, {"identifier": "J51", "position": [9, 3], "step": 9, "ordinal_position": 10}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 10, "direction": "right", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_015.json"}} {"qa_id": "5986151a551744c09cbd2773575952d1", "image_id": "L3-MazeLoop-test_11x11_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J63, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 11th position in this traversal?", "start_object_id": "J63", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [11], "ordinal_strings": ["11th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "A63", "traversal_path": [{"identifier": "J63", "position": [4, 9], "step": 0, "ordinal_position": 1}, {"identifier": "P96", "position": [3, 9], "step": 1, "ordinal_position": 2}, {"identifier": "W73", "position": [2, 9], "step": 2, "ordinal_position": 3}, {"identifier": "U27", "position": [1, 9], "step": 3, "ordinal_position": 4}, {"identifier": "D20", "position": [1, 8], "step": 4, "ordinal_position": 5}, {"identifier": "D01", "position": [1, 7], "step": 5, "ordinal_position": 6}, {"identifier": "F82", "position": [1, 6], "step": 6, "ordinal_position": 7}, {"identifier": "E72", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "T19", "position": [1, 4], "step": 8, "ordinal_position": 9}, {"identifier": "M74", "position": [1, 3], "step": 9, "ordinal_position": 10}, {"identifier": "A63", "position": [1, 2], "step": 10, "ordinal_position": 11}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 11, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_015.json"}} {"qa_id": "1399962f70f64a2b8cdb2886ffd76a39", "image_id": "L3-MazeLoop-test_11x11_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E72, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 11th position in this traversal?", "start_object_id": "E72", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [11], "ordinal_strings": ["11th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U48", "traversal_path": [{"identifier": "E72", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "F82", "position": [1, 6], "step": 1, "ordinal_position": 2}, {"identifier": "D01", "position": [1, 7], "step": 2, "ordinal_position": 3}, {"identifier": "D20", "position": [1, 8], "step": 3, "ordinal_position": 4}, {"identifier": "U27", "position": [1, 9], "step": 4, "ordinal_position": 5}, {"identifier": "W73", "position": [2, 9], "step": 5, "ordinal_position": 6}, {"identifier": "P96", "position": [3, 9], "step": 6, "ordinal_position": 7}, {"identifier": "J63", "position": [4, 9], "step": 7, "ordinal_position": 8}, {"identifier": "S45", "position": [5, 9], "step": 8, "ordinal_position": 9}, {"identifier": "H05", "position": [6, 9], "step": 9, "ordinal_position": 10}, {"identifier": "U48", "position": [7, 9], "step": 10, "ordinal_position": 11}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 11, "direction": "down", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_015.json"}} {"qa_id": "1016ea7ca2ae4272bcda11df5c913ed5", "image_id": "L3-MazeLoop-test_11x11_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z64, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "Z64", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "A63", "traversal_path": [{"identifier": "Z64", "position": [7, 1], "step": 0, "ordinal_position": 1}, {"identifier": "B94", "position": [6, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Z15", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "K65", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "B69", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "D78", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "K44", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "A63", "position": [1, 2], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 8, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_015.json"}} {"qa_id": "2937cf8c6ae8498d8b9e6eec500570ad", "image_id": "L3-MazeLoop-test_11x11_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G21, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 11th position in this traversal?", "start_object_id": "G21", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [11], "ordinal_strings": ["11th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U48", "traversal_path": [{"identifier": "G21", "position": [5, 5], "step": 0, "ordinal_position": 1}, {"identifier": "D03", "position": [6, 5], "step": 1, "ordinal_position": 2}, {"identifier": "E09", "position": [7, 5], "step": 2, "ordinal_position": 3}, {"identifier": "N03", "position": [8, 5], "step": 3, "ordinal_position": 4}, {"identifier": "L73", "position": [9, 5], "step": 4, "ordinal_position": 5}, {"identifier": "U56", "position": [9, 6], "step": 5, "ordinal_position": 6}, {"identifier": "Q19", "position": [9, 7], "step": 6, "ordinal_position": 7}, {"identifier": "O49", "position": [9, 8], "step": 7, "ordinal_position": 8}, {"identifier": "W26", "position": [9, 9], "step": 8, "ordinal_position": 9}, {"identifier": "V70", "position": [8, 9], "step": 9, "ordinal_position": 10}, {"identifier": "U48", "position": [7, 9], "step": 10, "ordinal_position": 11}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 11, "direction": "right", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_015.json"}} {"qa_id": "13106d37fc5d4082837c8c7c4bbe5575", "image_id": "L3-MazeLoop-test_11x11_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C43, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 87th position in this traversal?", "start_object_id": "C43", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [87], "ordinal_strings": ["87th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "F82", "traversal_path": [{"identifier": "C43", "position": [2, 7], "step": 0, "ordinal_position": 1}, {"identifier": "M70", "position": [3, 7], "step": 1, "ordinal_position": 2}, {"identifier": "M11", "position": [3, 8], "step": 2, "ordinal_position": 3}, {"identifier": "P96", "position": [3, 9], "step": 3, "ordinal_position": 4}, {"identifier": "J63", "position": [4, 9], "step": 4, "ordinal_position": 5}, {"identifier": "S45", "position": [5, 9], "step": 5, "ordinal_position": 6}, {"identifier": "H05", "position": [6, 9], "step": 6, "ordinal_position": 7}, {"identifier": "U48", "position": [7, 9], "step": 7, "ordinal_position": 8}, {"identifier": "V70", "position": [8, 9], "step": 8, "ordinal_position": 9}, {"identifier": "W26", "position": [9, 9], "step": 9, "ordinal_position": 10}, {"identifier": "O49", "position": [9, 8], "step": 10, "ordinal_position": 11}, {"identifier": "Q19", "position": [9, 7], "step": 11, "ordinal_position": 12}, {"identifier": "U56", "position": [9, 6], "step": 12, "ordinal_position": 13}, {"identifier": "L73", "position": [9, 5], "step": 13, "ordinal_position": 14}, {"identifier": "N03", "position": [8, 5], "step": 14, "ordinal_position": 15}, {"identifier": "E09", "position": [7, 5], "step": 15, "ordinal_position": 16}, {"identifier": "D03", "position": [6, 5], "step": 16, "ordinal_position": 17}, {"identifier": "G21", "position": [5, 5], "step": 17, "ordinal_position": 18}, {"identifier": "P40", "position": [4, 5], "step": 18, "ordinal_position": 19}, {"identifier": "T43", "position": [3, 5], "step": 19, "ordinal_position": 20}, {"identifier": "Q44", "position": [3, 4], "step": 20, "ordinal_position": 21}, {"identifier": "E76", "position": [3, 3], "step": 21, "ordinal_position": 22}, {"identifier": "G48", "position": [4, 3], "step": 22, "ordinal_position": 23}, {"identifier": "T51", "position": [5, 3], "step": 23, "ordinal_position": 24}, {"identifier": "L76", "position": [6, 3], "step": 24, "ordinal_position": 25}, {"identifier": "S08", "position": [7, 3], "step": 25, "ordinal_position": 26}, {"identifier": "L15", "position": [8, 3], "step": 26, "ordinal_position": 27}, {"identifier": "J51", "position": [9, 3], "step": 27, "ordinal_position": 28}, {"identifier": "C63", "position": [9, 2], "step": 28, "ordinal_position": 29}, {"identifier": "A71", "position": [9, 1], "step": 29, "ordinal_position": 30}, {"identifier": "U17", "position": [8, 1], "step": 30, "ordinal_position": 31}, {"identifier": "Z64", "position": [7, 1], "step": 31, "ordinal_position": 32}, {"identifier": "B94", "position": [6, 1], "step": 32, "ordinal_position": 33}, {"identifier": "Z15", "position": [5, 1], "step": 33, "ordinal_position": 34}, {"identifier": "K65", "position": [4, 1], "step": 34, "ordinal_position": 35}, {"identifier": "B69", "position": [3, 1], "step": 35, "ordinal_position": 36}, {"identifier": "D78", "position": [2, 1], "step": 36, "ordinal_position": 37}, {"identifier": "K44", "position": [1, 1], "step": 37, "ordinal_position": 38}, {"identifier": "A63", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "M74", "position": [1, 3], "step": 39, "ordinal_position": 40}, {"identifier": "T19", "position": [1, 4], "step": 40, "ordinal_position": 41}, {"identifier": "E72", "position": [1, 5], "step": 41, "ordinal_position": 42}, {"identifier": "F82", "position": [1, 6], "step": 42, "ordinal_position": 43}, {"identifier": "D01", "position": [1, 7], "step": 43, "ordinal_position": 44}, {"identifier": "D20", "position": [1, 8], "step": 44, "ordinal_position": 45}, {"identifier": "U27", "position": [1, 9], "step": 45, "ordinal_position": 46}, {"identifier": "W73", "position": [2, 9], "step": 46, "ordinal_position": 47}, {"identifier": "P96", "position": [3, 9], "step": 47, "ordinal_position": 48}, {"identifier": "J63", "position": [4, 9], "step": 48, "ordinal_position": 49}, {"identifier": "S45", "position": [5, 9], "step": 49, "ordinal_position": 50}, {"identifier": "H05", "position": [6, 9], "step": 50, "ordinal_position": 51}, {"identifier": "U48", "position": [7, 9], "step": 51, "ordinal_position": 52}, {"identifier": "V70", "position": [8, 9], "step": 52, "ordinal_position": 53}, {"identifier": "W26", "position": [9, 9], "step": 53, "ordinal_position": 54}, {"identifier": "O49", "position": [9, 8], "step": 54, "ordinal_position": 55}, {"identifier": "Q19", "position": [9, 7], "step": 55, "ordinal_position": 56}, {"identifier": "U56", "position": [9, 6], "step": 56, "ordinal_position": 57}, {"identifier": "L73", "position": [9, 5], "step": 57, "ordinal_position": 58}, {"identifier": "N03", "position": [8, 5], "step": 58, "ordinal_position": 59}, {"identifier": "E09", "position": [7, 5], "step": 59, "ordinal_position": 60}, {"identifier": "D03", "position": [6, 5], "step": 60, "ordinal_position": 61}, {"identifier": "G21", "position": [5, 5], "step": 61, "ordinal_position": 62}, {"identifier": "P40", "position": [4, 5], "step": 62, "ordinal_position": 63}, {"identifier": "T43", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "Q44", "position": [3, 4], "step": 64, "ordinal_position": 65}, {"identifier": "E76", "position": [3, 3], "step": 65, "ordinal_position": 66}, {"identifier": "G48", "position": [4, 3], "step": 66, "ordinal_position": 67}, {"identifier": "T51", "position": [5, 3], "step": 67, "ordinal_position": 68}, {"identifier": "L76", "position": [6, 3], "step": 68, "ordinal_position": 69}, {"identifier": "S08", "position": [7, 3], "step": 69, "ordinal_position": 70}, {"identifier": "L15", "position": [8, 3], "step": 70, "ordinal_position": 71}, {"identifier": "J51", "position": [9, 3], "step": 71, "ordinal_position": 72}, {"identifier": "C63", "position": [9, 2], "step": 72, "ordinal_position": 73}, {"identifier": "A71", "position": [9, 1], "step": 73, "ordinal_position": 74}, {"identifier": "U17", "position": [8, 1], "step": 74, "ordinal_position": 75}, {"identifier": "Z64", "position": [7, 1], "step": 75, "ordinal_position": 76}, {"identifier": "B94", "position": [6, 1], "step": 76, "ordinal_position": 77}, {"identifier": "Z15", "position": [5, 1], "step": 77, "ordinal_position": 78}, {"identifier": "K65", "position": [4, 1], "step": 78, "ordinal_position": 79}, {"identifier": "B69", "position": [3, 1], "step": 79, "ordinal_position": 80}, {"identifier": "D78", "position": [2, 1], "step": 80, "ordinal_position": 81}, {"identifier": "K44", "position": [1, 1], "step": 81, "ordinal_position": 82}, {"identifier": "A63", "position": [1, 2], "step": 82, "ordinal_position": 83}, {"identifier": "M74", "position": [1, 3], "step": 83, "ordinal_position": 84}, {"identifier": "T19", "position": [1, 4], "step": 84, "ordinal_position": 85}, {"identifier": "E72", "position": [1, 5], "step": 85, "ordinal_position": 86}, {"identifier": "F82", "position": [1, 6], "step": 86, "ordinal_position": 87}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 87, "direction": "right", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_015.json"}} {"qa_id": "6b7028cef9584d189444e66f8683c8f6", "image_id": "L3-MazeLoop-test_11x11_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C43, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 42nd position in this traversal?", "start_object_id": "C43", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [42], "ordinal_strings": ["42nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "M74", "traversal_path": [{"identifier": "C43", "position": [2, 7], "step": 0, "ordinal_position": 1}, {"identifier": "D01", "position": [1, 7], "step": 1, "ordinal_position": 2}, {"identifier": "D20", "position": [1, 8], "step": 2, "ordinal_position": 3}, {"identifier": "U27", "position": [1, 9], "step": 3, "ordinal_position": 4}, {"identifier": "W73", "position": [2, 9], "step": 4, "ordinal_position": 5}, {"identifier": "P96", "position": [3, 9], "step": 5, "ordinal_position": 6}, {"identifier": "J63", "position": [4, 9], "step": 6, "ordinal_position": 7}, {"identifier": "S45", "position": [5, 9], "step": 7, "ordinal_position": 8}, {"identifier": "H05", "position": [6, 9], "step": 8, "ordinal_position": 9}, {"identifier": "U48", "position": [7, 9], "step": 9, "ordinal_position": 10}, {"identifier": "V70", "position": [8, 9], "step": 10, "ordinal_position": 11}, {"identifier": "W26", "position": [9, 9], "step": 11, "ordinal_position": 12}, {"identifier": "O49", "position": [9, 8], "step": 12, "ordinal_position": 13}, {"identifier": "Q19", "position": [9, 7], "step": 13, "ordinal_position": 14}, {"identifier": "U56", "position": [9, 6], "step": 14, "ordinal_position": 15}, {"identifier": "L73", "position": [9, 5], "step": 15, "ordinal_position": 16}, {"identifier": "N03", "position": [8, 5], "step": 16, "ordinal_position": 17}, {"identifier": "E09", "position": [7, 5], "step": 17, "ordinal_position": 18}, {"identifier": "D03", "position": [6, 5], "step": 18, "ordinal_position": 19}, {"identifier": "G21", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "P40", "position": [4, 5], "step": 20, "ordinal_position": 21}, {"identifier": "T43", "position": [3, 5], "step": 21, "ordinal_position": 22}, {"identifier": "Q44", "position": [3, 4], "step": 22, "ordinal_position": 23}, {"identifier": "E76", "position": [3, 3], "step": 23, "ordinal_position": 24}, {"identifier": "G48", "position": [4, 3], "step": 24, "ordinal_position": 25}, {"identifier": "T51", "position": [5, 3], "step": 25, "ordinal_position": 26}, {"identifier": "L76", "position": [6, 3], "step": 26, "ordinal_position": 27}, {"identifier": "S08", "position": [7, 3], "step": 27, "ordinal_position": 28}, {"identifier": "L15", "position": [8, 3], "step": 28, "ordinal_position": 29}, {"identifier": "J51", "position": [9, 3], "step": 29, "ordinal_position": 30}, {"identifier": "C63", "position": [9, 2], "step": 30, "ordinal_position": 31}, {"identifier": "A71", "position": [9, 1], "step": 31, "ordinal_position": 32}, {"identifier": "U17", "position": [8, 1], "step": 32, "ordinal_position": 33}, {"identifier": "Z64", "position": [7, 1], "step": 33, "ordinal_position": 34}, {"identifier": "B94", "position": [6, 1], "step": 34, "ordinal_position": 35}, {"identifier": "Z15", "position": [5, 1], "step": 35, "ordinal_position": 36}, {"identifier": "K65", "position": [4, 1], "step": 36, "ordinal_position": 37}, {"identifier": "B69", "position": [3, 1], "step": 37, "ordinal_position": 38}, {"identifier": "D78", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "K44", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "A63", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "M74", "position": [1, 3], "step": 41, "ordinal_position": 42}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 42, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_015.json"}} {"qa_id": "579e8fba52914eb98f9cf380b82f6695", "image_id": "L3-MazeLoop-test_11x11_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J51, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 94th position in this traversal?", "start_object_id": "J51", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [94], "ordinal_strings": ["94th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "B94", "traversal_path": [{"identifier": "J51", "position": [9, 3], "step": 0, "ordinal_position": 1}, {"identifier": "C63", "position": [9, 2], "step": 1, "ordinal_position": 2}, {"identifier": "A71", "position": [9, 1], "step": 2, "ordinal_position": 3}, {"identifier": "U17", "position": [8, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Z64", "position": [7, 1], "step": 4, "ordinal_position": 5}, {"identifier": "B94", "position": [6, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Z15", "position": [5, 1], "step": 6, "ordinal_position": 7}, {"identifier": "K65", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "B69", "position": [3, 1], "step": 8, "ordinal_position": 9}, {"identifier": "D78", "position": [2, 1], "step": 9, "ordinal_position": 10}, {"identifier": "K44", "position": [1, 1], "step": 10, "ordinal_position": 11}, {"identifier": "A63", "position": [1, 2], "step": 11, "ordinal_position": 12}, {"identifier": "M74", "position": [1, 3], "step": 12, "ordinal_position": 13}, {"identifier": "T19", "position": [1, 4], "step": 13, "ordinal_position": 14}, {"identifier": "E72", "position": [1, 5], "step": 14, "ordinal_position": 15}, {"identifier": "F82", "position": [1, 6], "step": 15, "ordinal_position": 16}, {"identifier": "D01", "position": [1, 7], "step": 16, "ordinal_position": 17}, {"identifier": "D20", "position": [1, 8], "step": 17, "ordinal_position": 18}, {"identifier": "U27", "position": [1, 9], "step": 18, "ordinal_position": 19}, {"identifier": "W73", "position": [2, 9], "step": 19, "ordinal_position": 20}, {"identifier": "P96", "position": [3, 9], "step": 20, "ordinal_position": 21}, {"identifier": "J63", "position": [4, 9], "step": 21, "ordinal_position": 22}, {"identifier": "S45", "position": [5, 9], "step": 22, "ordinal_position": 23}, {"identifier": "H05", "position": [6, 9], "step": 23, "ordinal_position": 24}, {"identifier": "U48", "position": [7, 9], "step": 24, "ordinal_position": 25}, {"identifier": "V70", "position": [8, 9], "step": 25, "ordinal_position": 26}, {"identifier": "W26", "position": [9, 9], "step": 26, "ordinal_position": 27}, {"identifier": "O49", "position": [9, 8], "step": 27, "ordinal_position": 28}, {"identifier": "Q19", "position": [9, 7], "step": 28, "ordinal_position": 29}, {"identifier": "U56", "position": [9, 6], "step": 29, "ordinal_position": 30}, {"identifier": "L73", "position": [9, 5], "step": 30, "ordinal_position": 31}, {"identifier": "N03", "position": [8, 5], "step": 31, "ordinal_position": 32}, {"identifier": "E09", "position": [7, 5], "step": 32, "ordinal_position": 33}, {"identifier": "D03", "position": [6, 5], "step": 33, "ordinal_position": 34}, {"identifier": "G21", "position": [5, 5], "step": 34, "ordinal_position": 35}, {"identifier": "P40", "position": [4, 5], "step": 35, "ordinal_position": 36}, {"identifier": "T43", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "Q44", "position": [3, 4], "step": 37, "ordinal_position": 38}, {"identifier": "E76", "position": [3, 3], "step": 38, "ordinal_position": 39}, {"identifier": "G48", "position": [4, 3], "step": 39, "ordinal_position": 40}, {"identifier": "T51", "position": [5, 3], "step": 40, "ordinal_position": 41}, {"identifier": "L76", "position": [6, 3], "step": 41, "ordinal_position": 42}, {"identifier": "S08", "position": [7, 3], "step": 42, "ordinal_position": 43}, {"identifier": "L15", "position": [8, 3], "step": 43, "ordinal_position": 44}, {"identifier": "J51", "position": [9, 3], "step": 44, "ordinal_position": 45}, {"identifier": "C63", "position": [9, 2], "step": 45, "ordinal_position": 46}, {"identifier": "A71", "position": [9, 1], "step": 46, "ordinal_position": 47}, {"identifier": "U17", "position": [8, 1], "step": 47, "ordinal_position": 48}, {"identifier": "Z64", "position": [7, 1], "step": 48, "ordinal_position": 49}, {"identifier": "B94", "position": [6, 1], "step": 49, "ordinal_position": 50}, {"identifier": "Z15", "position": [5, 1], "step": 50, "ordinal_position": 51}, {"identifier": "K65", "position": [4, 1], "step": 51, "ordinal_position": 52}, {"identifier": "B69", "position": [3, 1], "step": 52, "ordinal_position": 53}, {"identifier": "D78", "position": [2, 1], "step": 53, "ordinal_position": 54}, {"identifier": "K44", "position": [1, 1], "step": 54, "ordinal_position": 55}, {"identifier": "A63", "position": [1, 2], "step": 55, "ordinal_position": 56}, {"identifier": "M74", "position": [1, 3], "step": 56, "ordinal_position": 57}, {"identifier": "T19", "position": [1, 4], "step": 57, "ordinal_position": 58}, {"identifier": "E72", "position": [1, 5], "step": 58, "ordinal_position": 59}, {"identifier": "F82", "position": [1, 6], "step": 59, "ordinal_position": 60}, {"identifier": "D01", "position": [1, 7], "step": 60, "ordinal_position": 61}, {"identifier": "D20", "position": [1, 8], "step": 61, "ordinal_position": 62}, {"identifier": "U27", "position": [1, 9], "step": 62, "ordinal_position": 63}, {"identifier": "W73", "position": [2, 9], "step": 63, "ordinal_position": 64}, {"identifier": "P96", "position": [3, 9], "step": 64, "ordinal_position": 65}, {"identifier": "J63", "position": [4, 9], "step": 65, "ordinal_position": 66}, {"identifier": "S45", "position": [5, 9], "step": 66, "ordinal_position": 67}, {"identifier": "H05", "position": [6, 9], "step": 67, "ordinal_position": 68}, {"identifier": "U48", "position": [7, 9], "step": 68, "ordinal_position": 69}, {"identifier": "V70", "position": [8, 9], "step": 69, "ordinal_position": 70}, {"identifier": "W26", "position": [9, 9], "step": 70, "ordinal_position": 71}, {"identifier": "O49", "position": [9, 8], "step": 71, "ordinal_position": 72}, {"identifier": "Q19", "position": [9, 7], "step": 72, "ordinal_position": 73}, {"identifier": "U56", "position": [9, 6], "step": 73, "ordinal_position": 74}, {"identifier": "L73", "position": [9, 5], "step": 74, "ordinal_position": 75}, {"identifier": "N03", "position": [8, 5], "step": 75, "ordinal_position": 76}, {"identifier": "E09", "position": [7, 5], "step": 76, "ordinal_position": 77}, {"identifier": "D03", "position": [6, 5], "step": 77, "ordinal_position": 78}, {"identifier": "G21", "position": [5, 5], "step": 78, "ordinal_position": 79}, {"identifier": "P40", "position": [4, 5], "step": 79, "ordinal_position": 80}, {"identifier": "T43", "position": [3, 5], "step": 80, "ordinal_position": 81}, {"identifier": "Q44", "position": [3, 4], "step": 81, "ordinal_position": 82}, {"identifier": "E76", "position": [3, 3], "step": 82, "ordinal_position": 83}, {"identifier": "G48", "position": [4, 3], "step": 83, "ordinal_position": 84}, {"identifier": "T51", "position": [5, 3], "step": 84, "ordinal_position": 85}, {"identifier": "L76", "position": [6, 3], "step": 85, "ordinal_position": 86}, {"identifier": "S08", "position": [7, 3], "step": 86, "ordinal_position": 87}, {"identifier": "L15", "position": [8, 3], "step": 87, "ordinal_position": 88}, {"identifier": "J51", "position": [9, 3], "step": 88, "ordinal_position": 89}, {"identifier": "C63", "position": [9, 2], "step": 89, "ordinal_position": 90}, {"identifier": "A71", "position": [9, 1], "step": 90, "ordinal_position": 91}, {"identifier": "U17", "position": [8, 1], "step": 91, "ordinal_position": 92}, {"identifier": "Z64", "position": [7, 1], "step": 92, "ordinal_position": 93}, {"identifier": "B94", "position": [6, 1], "step": 93, "ordinal_position": 94}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 94, "direction": "up", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_015.json"}} {"qa_id": "4b13231ad46347f4a7bfee289f214a26", "image_id": "L3-MazeLoop-test_11x11_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C63, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 45th position in this traversal?", "start_object_id": "C63", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [45], "ordinal_strings": ["45th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "C63", "traversal_path": [{"identifier": "C63", "position": [9, 2], "step": 0, "ordinal_position": 1}, {"identifier": "A71", "position": [9, 1], "step": 1, "ordinal_position": 2}, {"identifier": "U17", "position": [8, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Z64", "position": [7, 1], "step": 3, "ordinal_position": 4}, {"identifier": "B94", "position": [6, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Z15", "position": [5, 1], "step": 5, "ordinal_position": 6}, {"identifier": "K65", "position": [4, 1], "step": 6, "ordinal_position": 7}, {"identifier": "B69", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "D78", "position": [2, 1], "step": 8, "ordinal_position": 9}, {"identifier": "K44", "position": [1, 1], "step": 9, "ordinal_position": 10}, {"identifier": "A63", "position": [1, 2], "step": 10, "ordinal_position": 11}, {"identifier": "M74", "position": [1, 3], "step": 11, "ordinal_position": 12}, {"identifier": "T19", "position": [1, 4], "step": 12, "ordinal_position": 13}, {"identifier": "E72", "position": [1, 5], "step": 13, "ordinal_position": 14}, {"identifier": "F82", "position": [1, 6], "step": 14, "ordinal_position": 15}, {"identifier": "D01", "position": [1, 7], "step": 15, "ordinal_position": 16}, {"identifier": "D20", "position": [1, 8], "step": 16, "ordinal_position": 17}, {"identifier": "U27", "position": [1, 9], "step": 17, "ordinal_position": 18}, {"identifier": "W73", "position": [2, 9], "step": 18, "ordinal_position": 19}, {"identifier": "P96", "position": [3, 9], "step": 19, "ordinal_position": 20}, {"identifier": "J63", "position": [4, 9], "step": 20, "ordinal_position": 21}, {"identifier": "S45", "position": [5, 9], "step": 21, "ordinal_position": 22}, {"identifier": "H05", "position": [6, 9], "step": 22, "ordinal_position": 23}, {"identifier": "U48", "position": [7, 9], "step": 23, "ordinal_position": 24}, {"identifier": "V70", "position": [8, 9], "step": 24, "ordinal_position": 25}, {"identifier": "W26", "position": [9, 9], "step": 25, "ordinal_position": 26}, {"identifier": "O49", "position": [9, 8], "step": 26, "ordinal_position": 27}, {"identifier": "Q19", "position": [9, 7], "step": 27, "ordinal_position": 28}, {"identifier": "U56", "position": [9, 6], "step": 28, "ordinal_position": 29}, {"identifier": "L73", "position": [9, 5], "step": 29, "ordinal_position": 30}, {"identifier": "N03", "position": [8, 5], "step": 30, "ordinal_position": 31}, {"identifier": "E09", "position": [7, 5], "step": 31, "ordinal_position": 32}, {"identifier": "D03", "position": [6, 5], "step": 32, "ordinal_position": 33}, {"identifier": "G21", "position": [5, 5], "step": 33, "ordinal_position": 34}, {"identifier": "P40", "position": [4, 5], "step": 34, "ordinal_position": 35}, {"identifier": "T43", "position": [3, 5], "step": 35, "ordinal_position": 36}, {"identifier": "Q44", "position": [3, 4], "step": 36, "ordinal_position": 37}, {"identifier": "E76", "position": [3, 3], "step": 37, "ordinal_position": 38}, {"identifier": "G48", "position": [4, 3], "step": 38, "ordinal_position": 39}, {"identifier": "T51", "position": [5, 3], "step": 39, "ordinal_position": 40}, {"identifier": "L76", "position": [6, 3], "step": 40, "ordinal_position": 41}, {"identifier": "S08", "position": [7, 3], "step": 41, "ordinal_position": 42}, {"identifier": "L15", "position": [8, 3], "step": 42, "ordinal_position": 43}, {"identifier": "J51", "position": [9, 3], "step": 43, "ordinal_position": 44}, {"identifier": "C63", "position": [9, 2], "step": 44, "ordinal_position": 45}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 45, "direction": "up", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_015.json"}} {"qa_id": "d052e7dda4924821ad81f5701ea870b9", "image_id": "L3-MazeLoop-test_11x11_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D03, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 13th position in this traversal?", "start_object_id": "D03", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [13], "ordinal_strings": ["13th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "C63", "traversal_path": [{"identifier": "D03", "position": [6, 5], "step": 0, "ordinal_position": 1}, {"identifier": "G21", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "P40", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "T43", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "Q44", "position": [3, 4], "step": 4, "ordinal_position": 5}, {"identifier": "E76", "position": [3, 3], "step": 5, "ordinal_position": 6}, {"identifier": "G48", "position": [4, 3], "step": 6, "ordinal_position": 7}, {"identifier": "T51", "position": [5, 3], "step": 7, "ordinal_position": 8}, {"identifier": "L76", "position": [6, 3], "step": 8, "ordinal_position": 9}, {"identifier": "S08", "position": [7, 3], "step": 9, "ordinal_position": 10}, {"identifier": "L15", "position": [8, 3], "step": 10, "ordinal_position": 11}, {"identifier": "J51", "position": [9, 3], "step": 11, "ordinal_position": 12}, {"identifier": "C63", "position": [9, 2], "step": 12, "ordinal_position": 13}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 13, "direction": "left", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_015.json"}} {"qa_id": "ecdd390c97274165995735642d9cf6d1", "image_id": "L3-MazeLoop-test_11x11_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E76, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 203rd position in this traversal?", "start_object_id": "E76", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [203], "ordinal_strings": ["203rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "M74", "traversal_path": [{"identifier": "E76", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "Q44", "position": [3, 4], "step": 1, "ordinal_position": 2}, {"identifier": "T43", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "P40", "position": [4, 5], "step": 3, "ordinal_position": 4}, {"identifier": "G21", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "D03", "position": [6, 5], "step": 5, "ordinal_position": 6}, {"identifier": "E09", "position": [7, 5], "step": 6, "ordinal_position": 7}, {"identifier": "N03", "position": [8, 5], "step": 7, "ordinal_position": 8}, {"identifier": "L73", "position": [9, 5], "step": 8, "ordinal_position": 9}, {"identifier": "U56", "position": [9, 6], "step": 9, "ordinal_position": 10}, {"identifier": "Q19", "position": [9, 7], "step": 10, "ordinal_position": 11}, {"identifier": "O49", "position": [9, 8], "step": 11, "ordinal_position": 12}, {"identifier": "W26", "position": [9, 9], "step": 12, "ordinal_position": 13}, {"identifier": "V70", "position": [8, 9], "step": 13, "ordinal_position": 14}, {"identifier": "U48", "position": [7, 9], "step": 14, "ordinal_position": 15}, {"identifier": "H05", "position": [6, 9], "step": 15, "ordinal_position": 16}, {"identifier": "S45", "position": [5, 9], "step": 16, "ordinal_position": 17}, {"identifier": "J63", "position": [4, 9], "step": 17, "ordinal_position": 18}, {"identifier": "P96", "position": [3, 9], "step": 18, "ordinal_position": 19}, {"identifier": "W73", "position": [2, 9], "step": 19, "ordinal_position": 20}, {"identifier": "U27", "position": [1, 9], "step": 20, "ordinal_position": 21}, {"identifier": "D20", "position": [1, 8], "step": 21, "ordinal_position": 22}, {"identifier": "D01", "position": [1, 7], "step": 22, "ordinal_position": 23}, {"identifier": "F82", "position": [1, 6], "step": 23, "ordinal_position": 24}, {"identifier": "E72", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "T19", "position": [1, 4], "step": 25, "ordinal_position": 26}, {"identifier": "M74", "position": [1, 3], "step": 26, "ordinal_position": 27}, {"identifier": "A63", "position": [1, 2], "step": 27, "ordinal_position": 28}, {"identifier": "K44", "position": [1, 1], "step": 28, "ordinal_position": 29}, {"identifier": "D78", "position": [2, 1], "step": 29, "ordinal_position": 30}, {"identifier": "B69", "position": [3, 1], "step": 30, "ordinal_position": 31}, {"identifier": "K65", "position": [4, 1], "step": 31, "ordinal_position": 32}, {"identifier": "Z15", "position": [5, 1], "step": 32, "ordinal_position": 33}, {"identifier": "B94", "position": [6, 1], "step": 33, "ordinal_position": 34}, {"identifier": "Z64", "position": [7, 1], "step": 34, "ordinal_position": 35}, {"identifier": "U17", "position": [8, 1], "step": 35, "ordinal_position": 36}, {"identifier": "A71", "position": [9, 1], "step": 36, "ordinal_position": 37}, {"identifier": "C63", "position": [9, 2], "step": 37, "ordinal_position": 38}, {"identifier": "J51", "position": [9, 3], "step": 38, "ordinal_position": 39}, {"identifier": "L15", "position": [8, 3], "step": 39, "ordinal_position": 40}, {"identifier": "S08", "position": [7, 3], "step": 40, "ordinal_position": 41}, {"identifier": "L76", "position": [6, 3], "step": 41, "ordinal_position": 42}, {"identifier": "T51", "position": [5, 3], "step": 42, "ordinal_position": 43}, {"identifier": "G48", "position": [4, 3], "step": 43, "ordinal_position": 44}, {"identifier": "E76", "position": [3, 3], "step": 44, "ordinal_position": 45}, {"identifier": "Q44", "position": [3, 4], "step": 45, "ordinal_position": 46}, {"identifier": "T43", "position": [3, 5], "step": 46, "ordinal_position": 47}, {"identifier": "P40", "position": [4, 5], "step": 47, "ordinal_position": 48}, {"identifier": "G21", "position": [5, 5], "step": 48, "ordinal_position": 49}, {"identifier": "D03", "position": [6, 5], "step": 49, "ordinal_position": 50}, {"identifier": "E09", "position": [7, 5], "step": 50, "ordinal_position": 51}, {"identifier": "N03", "position": [8, 5], "step": 51, "ordinal_position": 52}, {"identifier": "L73", "position": [9, 5], "step": 52, "ordinal_position": 53}, {"identifier": "U56", "position": [9, 6], "step": 53, "ordinal_position": 54}, {"identifier": "Q19", "position": [9, 7], "step": 54, "ordinal_position": 55}, {"identifier": "O49", "position": [9, 8], "step": 55, "ordinal_position": 56}, {"identifier": "W26", "position": [9, 9], "step": 56, "ordinal_position": 57}, {"identifier": "V70", "position": [8, 9], "step": 57, "ordinal_position": 58}, {"identifier": "U48", "position": [7, 9], "step": 58, "ordinal_position": 59}, {"identifier": "H05", "position": [6, 9], "step": 59, "ordinal_position": 60}, {"identifier": "S45", "position": [5, 9], "step": 60, "ordinal_position": 61}, {"identifier": "J63", "position": [4, 9], "step": 61, "ordinal_position": 62}, {"identifier": "P96", "position": [3, 9], "step": 62, "ordinal_position": 63}, {"identifier": "W73", "position": [2, 9], "step": 63, "ordinal_position": 64}, {"identifier": "U27", "position": [1, 9], "step": 64, "ordinal_position": 65}, {"identifier": "D20", "position": [1, 8], "step": 65, "ordinal_position": 66}, {"identifier": "D01", "position": [1, 7], "step": 66, "ordinal_position": 67}, {"identifier": "F82", "position": [1, 6], "step": 67, "ordinal_position": 68}, {"identifier": "E72", "position": [1, 5], "step": 68, "ordinal_position": 69}, {"identifier": "T19", "position": [1, 4], "step": 69, "ordinal_position": 70}, {"identifier": "M74", "position": [1, 3], "step": 70, "ordinal_position": 71}, {"identifier": "A63", "position": [1, 2], "step": 71, "ordinal_position": 72}, {"identifier": "K44", "position": [1, 1], "step": 72, "ordinal_position": 73}, {"identifier": "D78", "position": [2, 1], "step": 73, "ordinal_position": 74}, {"identifier": "B69", "position": [3, 1], "step": 74, "ordinal_position": 75}, {"identifier": "K65", "position": [4, 1], "step": 75, "ordinal_position": 76}, {"identifier": "Z15", "position": [5, 1], "step": 76, "ordinal_position": 77}, {"identifier": "B94", "position": [6, 1], "step": 77, "ordinal_position": 78}, {"identifier": "Z64", "position": [7, 1], "step": 78, "ordinal_position": 79}, {"identifier": "U17", "position": [8, 1], "step": 79, "ordinal_position": 80}, {"identifier": "A71", "position": [9, 1], "step": 80, "ordinal_position": 81}, {"identifier": "C63", "position": [9, 2], "step": 81, "ordinal_position": 82}, {"identifier": "J51", "position": [9, 3], "step": 82, "ordinal_position": 83}, {"identifier": "L15", "position": [8, 3], "step": 83, "ordinal_position": 84}, {"identifier": "S08", "position": [7, 3], "step": 84, "ordinal_position": 85}, {"identifier": "L76", "position": [6, 3], "step": 85, "ordinal_position": 86}, {"identifier": "T51", "position": [5, 3], "step": 86, "ordinal_position": 87}, {"identifier": "G48", "position": [4, 3], "step": 87, "ordinal_position": 88}, {"identifier": "E76", "position": [3, 3], "step": 88, "ordinal_position": 89}, {"identifier": "Q44", "position": [3, 4], "step": 89, "ordinal_position": 90}, {"identifier": "T43", "position": [3, 5], "step": 90, "ordinal_position": 91}, {"identifier": "P40", "position": [4, 5], "step": 91, "ordinal_position": 92}, {"identifier": "G21", "position": [5, 5], "step": 92, "ordinal_position": 93}, {"identifier": "D03", "position": [6, 5], "step": 93, "ordinal_position": 94}, {"identifier": "E09", "position": [7, 5], "step": 94, "ordinal_position": 95}, {"identifier": "N03", "position": [8, 5], "step": 95, "ordinal_position": 96}, {"identifier": "L73", "position": [9, 5], "step": 96, "ordinal_position": 97}, {"identifier": "U56", "position": [9, 6], "step": 97, "ordinal_position": 98}, {"identifier": "Q19", "position": [9, 7], "step": 98, "ordinal_position": 99}, {"identifier": "O49", "position": [9, 8], "step": 99, "ordinal_position": 100}, {"identifier": "W26", "position": [9, 9], "step": 100, "ordinal_position": 101}, {"identifier": "V70", "position": [8, 9], "step": 101, "ordinal_position": 102}, {"identifier": "U48", "position": [7, 9], "step": 102, "ordinal_position": 103}, {"identifier": "H05", "position": [6, 9], "step": 103, "ordinal_position": 104}, {"identifier": "S45", "position": [5, 9], "step": 104, "ordinal_position": 105}, {"identifier": "J63", "position": [4, 9], "step": 105, "ordinal_position": 106}, {"identifier": "P96", "position": [3, 9], "step": 106, "ordinal_position": 107}, {"identifier": "W73", "position": [2, 9], "step": 107, "ordinal_position": 108}, {"identifier": "U27", "position": [1, 9], "step": 108, "ordinal_position": 109}, {"identifier": "D20", "position": [1, 8], "step": 109, "ordinal_position": 110}, {"identifier": "D01", "position": [1, 7], "step": 110, "ordinal_position": 111}, {"identifier": "F82", "position": [1, 6], "step": 111, "ordinal_position": 112}, {"identifier": "E72", "position": [1, 5], "step": 112, "ordinal_position": 113}, {"identifier": "T19", "position": [1, 4], "step": 113, "ordinal_position": 114}, {"identifier": "M74", "position": [1, 3], "step": 114, "ordinal_position": 115}, {"identifier": "A63", "position": [1, 2], "step": 115, "ordinal_position": 116}, {"identifier": "K44", "position": [1, 1], "step": 116, "ordinal_position": 117}, {"identifier": "D78", "position": [2, 1], "step": 117, "ordinal_position": 118}, {"identifier": "B69", "position": [3, 1], "step": 118, "ordinal_position": 119}, {"identifier": "K65", "position": [4, 1], "step": 119, "ordinal_position": 120}, {"identifier": "Z15", "position": [5, 1], "step": 120, "ordinal_position": 121}, {"identifier": "B94", "position": [6, 1], "step": 121, "ordinal_position": 122}, {"identifier": "Z64", "position": [7, 1], "step": 122, "ordinal_position": 123}, {"identifier": "U17", "position": [8, 1], "step": 123, "ordinal_position": 124}, {"identifier": "A71", "position": [9, 1], "step": 124, "ordinal_position": 125}, {"identifier": "C63", "position": [9, 2], "step": 125, "ordinal_position": 126}, {"identifier": "J51", "position": [9, 3], "step": 126, "ordinal_position": 127}, {"identifier": "L15", "position": [8, 3], "step": 127, "ordinal_position": 128}, {"identifier": "S08", "position": [7, 3], "step": 128, "ordinal_position": 129}, {"identifier": "L76", "position": [6, 3], "step": 129, "ordinal_position": 130}, {"identifier": "T51", "position": [5, 3], "step": 130, "ordinal_position": 131}, {"identifier": "G48", "position": [4, 3], "step": 131, "ordinal_position": 132}, {"identifier": "E76", "position": [3, 3], "step": 132, "ordinal_position": 133}, {"identifier": "Q44", "position": [3, 4], "step": 133, "ordinal_position": 134}, {"identifier": "T43", "position": [3, 5], "step": 134, "ordinal_position": 135}, {"identifier": "P40", "position": [4, 5], "step": 135, "ordinal_position": 136}, {"identifier": "G21", "position": [5, 5], "step": 136, "ordinal_position": 137}, {"identifier": "D03", "position": [6, 5], "step": 137, "ordinal_position": 138}, {"identifier": "E09", "position": [7, 5], "step": 138, "ordinal_position": 139}, {"identifier": "N03", "position": [8, 5], "step": 139, "ordinal_position": 140}, {"identifier": "L73", "position": [9, 5], "step": 140, "ordinal_position": 141}, {"identifier": "U56", "position": [9, 6], "step": 141, "ordinal_position": 142}, {"identifier": "Q19", "position": [9, 7], "step": 142, "ordinal_position": 143}, {"identifier": "O49", "position": [9, 8], "step": 143, "ordinal_position": 144}, {"identifier": "W26", "position": [9, 9], "step": 144, "ordinal_position": 145}, {"identifier": "V70", "position": [8, 9], "step": 145, "ordinal_position": 146}, {"identifier": "U48", "position": [7, 9], "step": 146, "ordinal_position": 147}, {"identifier": "H05", "position": [6, 9], "step": 147, "ordinal_position": 148}, {"identifier": "S45", "position": [5, 9], "step": 148, "ordinal_position": 149}, {"identifier": "J63", "position": [4, 9], "step": 149, "ordinal_position": 150}, {"identifier": "P96", "position": [3, 9], "step": 150, "ordinal_position": 151}, {"identifier": "W73", "position": [2, 9], "step": 151, "ordinal_position": 152}, {"identifier": "U27", "position": [1, 9], "step": 152, "ordinal_position": 153}, {"identifier": "D20", "position": [1, 8], "step": 153, "ordinal_position": 154}, {"identifier": "D01", "position": [1, 7], "step": 154, "ordinal_position": 155}, {"identifier": "F82", "position": [1, 6], "step": 155, "ordinal_position": 156}, {"identifier": "E72", "position": [1, 5], "step": 156, "ordinal_position": 157}, {"identifier": "T19", "position": [1, 4], "step": 157, "ordinal_position": 158}, {"identifier": "M74", "position": [1, 3], "step": 158, "ordinal_position": 159}, {"identifier": "A63", "position": [1, 2], "step": 159, "ordinal_position": 160}, {"identifier": "K44", "position": [1, 1], "step": 160, "ordinal_position": 161}, {"identifier": "D78", "position": [2, 1], "step": 161, "ordinal_position": 162}, {"identifier": "B69", "position": [3, 1], "step": 162, "ordinal_position": 163}, {"identifier": "K65", "position": [4, 1], "step": 163, "ordinal_position": 164}, {"identifier": "Z15", "position": [5, 1], "step": 164, "ordinal_position": 165}, {"identifier": "B94", "position": [6, 1], "step": 165, "ordinal_position": 166}, {"identifier": "Z64", "position": [7, 1], "step": 166, "ordinal_position": 167}, {"identifier": "U17", "position": [8, 1], "step": 167, "ordinal_position": 168}, {"identifier": "A71", "position": [9, 1], "step": 168, "ordinal_position": 169}, {"identifier": "C63", "position": [9, 2], "step": 169, "ordinal_position": 170}, {"identifier": "J51", "position": [9, 3], "step": 170, "ordinal_position": 171}, {"identifier": "L15", "position": [8, 3], "step": 171, "ordinal_position": 172}, {"identifier": "S08", "position": [7, 3], "step": 172, "ordinal_position": 173}, {"identifier": "L76", "position": [6, 3], "step": 173, "ordinal_position": 174}, {"identifier": "T51", "position": [5, 3], "step": 174, "ordinal_position": 175}, {"identifier": "G48", "position": [4, 3], "step": 175, "ordinal_position": 176}, {"identifier": "E76", "position": [3, 3], "step": 176, "ordinal_position": 177}, {"identifier": "Q44", "position": [3, 4], "step": 177, "ordinal_position": 178}, {"identifier": "T43", "position": [3, 5], "step": 178, "ordinal_position": 179}, {"identifier": "P40", "position": [4, 5], "step": 179, "ordinal_position": 180}, {"identifier": "G21", "position": [5, 5], "step": 180, "ordinal_position": 181}, {"identifier": "D03", "position": [6, 5], "step": 181, "ordinal_position": 182}, {"identifier": "E09", "position": [7, 5], "step": 182, "ordinal_position": 183}, {"identifier": "N03", "position": [8, 5], "step": 183, "ordinal_position": 184}, {"identifier": "L73", "position": [9, 5], "step": 184, "ordinal_position": 185}, {"identifier": "U56", "position": [9, 6], "step": 185, "ordinal_position": 186}, {"identifier": "Q19", "position": [9, 7], "step": 186, "ordinal_position": 187}, {"identifier": "O49", "position": [9, 8], "step": 187, "ordinal_position": 188}, {"identifier": "W26", "position": [9, 9], "step": 188, "ordinal_position": 189}, {"identifier": "V70", "position": [8, 9], "step": 189, "ordinal_position": 190}, {"identifier": "U48", "position": [7, 9], "step": 190, "ordinal_position": 191}, {"identifier": "H05", "position": [6, 9], "step": 191, "ordinal_position": 192}, {"identifier": "S45", "position": [5, 9], "step": 192, "ordinal_position": 193}, {"identifier": "J63", "position": [4, 9], "step": 193, "ordinal_position": 194}, {"identifier": "P96", "position": [3, 9], "step": 194, "ordinal_position": 195}, {"identifier": "W73", "position": [2, 9], "step": 195, "ordinal_position": 196}, {"identifier": "U27", "position": [1, 9], "step": 196, "ordinal_position": 197}, {"identifier": "D20", "position": [1, 8], "step": 197, "ordinal_position": 198}, {"identifier": "D01", "position": [1, 7], "step": 198, "ordinal_position": 199}, {"identifier": "F82", "position": [1, 6], "step": 199, "ordinal_position": 200}, {"identifier": "E72", "position": [1, 5], "step": 200, "ordinal_position": 201}, {"identifier": "T19", "position": [1, 4], "step": 201, "ordinal_position": 202}, {"identifier": "M74", "position": [1, 3], "step": 202, "ordinal_position": 203}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 203, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_015.json"}} {"qa_id": "a3fa1418908a43a0b0fcdfedc6931f94", "image_id": "L3-MazeLoop-test_11x11_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F82, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 196th position in this traversal?", "start_object_id": "F82", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [196], "ordinal_strings": ["196th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "G21", "traversal_path": [{"identifier": "F82", "position": [1, 6], "step": 0, "ordinal_position": 1}, {"identifier": "D01", "position": [1, 7], "step": 1, "ordinal_position": 2}, {"identifier": "D20", "position": [1, 8], "step": 2, "ordinal_position": 3}, {"identifier": "U27", "position": [1, 9], "step": 3, "ordinal_position": 4}, {"identifier": "W73", "position": [2, 9], "step": 4, "ordinal_position": 5}, {"identifier": "P96", "position": [3, 9], "step": 5, "ordinal_position": 6}, {"identifier": "J63", "position": [4, 9], "step": 6, "ordinal_position": 7}, {"identifier": "S45", "position": [5, 9], "step": 7, "ordinal_position": 8}, {"identifier": "H05", "position": [6, 9], "step": 8, "ordinal_position": 9}, {"identifier": "U48", "position": [7, 9], "step": 9, "ordinal_position": 10}, {"identifier": "V70", "position": [8, 9], "step": 10, "ordinal_position": 11}, {"identifier": "W26", "position": [9, 9], "step": 11, "ordinal_position": 12}, {"identifier": "O49", "position": [9, 8], "step": 12, "ordinal_position": 13}, {"identifier": "Q19", "position": [9, 7], "step": 13, "ordinal_position": 14}, {"identifier": "U56", "position": [9, 6], "step": 14, "ordinal_position": 15}, {"identifier": "L73", "position": [9, 5], "step": 15, "ordinal_position": 16}, {"identifier": "N03", "position": [8, 5], "step": 16, "ordinal_position": 17}, {"identifier": "E09", "position": [7, 5], "step": 17, "ordinal_position": 18}, {"identifier": "D03", "position": [6, 5], "step": 18, "ordinal_position": 19}, {"identifier": "G21", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "P40", "position": [4, 5], "step": 20, "ordinal_position": 21}, {"identifier": "T43", "position": [3, 5], "step": 21, "ordinal_position": 22}, {"identifier": "Q44", "position": [3, 4], "step": 22, "ordinal_position": 23}, {"identifier": "E76", "position": [3, 3], "step": 23, "ordinal_position": 24}, {"identifier": "G48", "position": [4, 3], "step": 24, "ordinal_position": 25}, {"identifier": "T51", "position": [5, 3], "step": 25, "ordinal_position": 26}, {"identifier": "L76", "position": [6, 3], "step": 26, "ordinal_position": 27}, {"identifier": "S08", "position": [7, 3], "step": 27, "ordinal_position": 28}, {"identifier": "L15", "position": [8, 3], "step": 28, "ordinal_position": 29}, {"identifier": "J51", "position": [9, 3], "step": 29, "ordinal_position": 30}, {"identifier": "C63", "position": [9, 2], "step": 30, "ordinal_position": 31}, {"identifier": "A71", "position": [9, 1], "step": 31, "ordinal_position": 32}, {"identifier": "U17", "position": [8, 1], "step": 32, "ordinal_position": 33}, {"identifier": "Z64", "position": [7, 1], "step": 33, "ordinal_position": 34}, {"identifier": "B94", "position": [6, 1], "step": 34, "ordinal_position": 35}, {"identifier": "Z15", "position": [5, 1], "step": 35, "ordinal_position": 36}, {"identifier": "K65", "position": [4, 1], "step": 36, "ordinal_position": 37}, {"identifier": "B69", "position": [3, 1], "step": 37, "ordinal_position": 38}, {"identifier": "D78", "position": [2, 1], "step": 38, "ordinal_position": 39}, {"identifier": "K44", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "A63", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "M74", "position": [1, 3], "step": 41, "ordinal_position": 42}, {"identifier": "T19", "position": [1, 4], "step": 42, "ordinal_position": 43}, {"identifier": "E72", "position": [1, 5], "step": 43, "ordinal_position": 44}, {"identifier": "F82", "position": [1, 6], "step": 44, "ordinal_position": 45}, {"identifier": "D01", "position": [1, 7], "step": 45, "ordinal_position": 46}, {"identifier": "D20", "position": [1, 8], "step": 46, "ordinal_position": 47}, {"identifier": "U27", "position": [1, 9], "step": 47, "ordinal_position": 48}, {"identifier": "W73", "position": [2, 9], "step": 48, "ordinal_position": 49}, {"identifier": "P96", "position": [3, 9], "step": 49, "ordinal_position": 50}, {"identifier": "J63", "position": [4, 9], "step": 50, "ordinal_position": 51}, {"identifier": "S45", "position": [5, 9], "step": 51, "ordinal_position": 52}, {"identifier": "H05", "position": [6, 9], "step": 52, "ordinal_position": 53}, {"identifier": "U48", "position": [7, 9], "step": 53, "ordinal_position": 54}, {"identifier": "V70", "position": [8, 9], "step": 54, "ordinal_position": 55}, {"identifier": "W26", "position": [9, 9], "step": 55, "ordinal_position": 56}, {"identifier": "O49", "position": [9, 8], "step": 56, "ordinal_position": 57}, {"identifier": "Q19", "position": [9, 7], "step": 57, "ordinal_position": 58}, {"identifier": "U56", "position": [9, 6], "step": 58, "ordinal_position": 59}, {"identifier": "L73", "position": [9, 5], "step": 59, "ordinal_position": 60}, {"identifier": "N03", "position": [8, 5], "step": 60, "ordinal_position": 61}, {"identifier": "E09", "position": [7, 5], "step": 61, "ordinal_position": 62}, {"identifier": "D03", "position": [6, 5], "step": 62, "ordinal_position": 63}, {"identifier": "G21", "position": [5, 5], "step": 63, "ordinal_position": 64}, {"identifier": "P40", "position": [4, 5], "step": 64, "ordinal_position": 65}, {"identifier": "T43", "position": [3, 5], "step": 65, "ordinal_position": 66}, {"identifier": "Q44", "position": [3, 4], "step": 66, "ordinal_position": 67}, {"identifier": "E76", "position": [3, 3], "step": 67, "ordinal_position": 68}, {"identifier": "G48", "position": [4, 3], "step": 68, "ordinal_position": 69}, {"identifier": "T51", "position": [5, 3], "step": 69, "ordinal_position": 70}, {"identifier": "L76", "position": [6, 3], "step": 70, "ordinal_position": 71}, {"identifier": "S08", "position": [7, 3], "step": 71, "ordinal_position": 72}, {"identifier": "L15", "position": [8, 3], "step": 72, "ordinal_position": 73}, {"identifier": "J51", "position": [9, 3], "step": 73, "ordinal_position": 74}, {"identifier": "C63", "position": [9, 2], "step": 74, "ordinal_position": 75}, {"identifier": "A71", "position": [9, 1], "step": 75, "ordinal_position": 76}, {"identifier": "U17", "position": [8, 1], "step": 76, "ordinal_position": 77}, {"identifier": "Z64", "position": [7, 1], "step": 77, "ordinal_position": 78}, {"identifier": "B94", "position": [6, 1], "step": 78, "ordinal_position": 79}, {"identifier": "Z15", "position": [5, 1], "step": 79, "ordinal_position": 80}, {"identifier": "K65", "position": [4, 1], "step": 80, "ordinal_position": 81}, {"identifier": "B69", "position": [3, 1], "step": 81, "ordinal_position": 82}, {"identifier": "D78", "position": [2, 1], "step": 82, "ordinal_position": 83}, {"identifier": "K44", "position": [1, 1], "step": 83, "ordinal_position": 84}, {"identifier": "A63", "position": [1, 2], "step": 84, "ordinal_position": 85}, {"identifier": "M74", "position": [1, 3], "step": 85, "ordinal_position": 86}, {"identifier": "T19", "position": [1, 4], "step": 86, "ordinal_position": 87}, {"identifier": "E72", "position": [1, 5], "step": 87, "ordinal_position": 88}, {"identifier": "F82", "position": [1, 6], "step": 88, "ordinal_position": 89}, {"identifier": "D01", "position": [1, 7], "step": 89, "ordinal_position": 90}, {"identifier": "D20", "position": [1, 8], "step": 90, "ordinal_position": 91}, {"identifier": "U27", "position": [1, 9], "step": 91, "ordinal_position": 92}, {"identifier": "W73", "position": [2, 9], "step": 92, "ordinal_position": 93}, {"identifier": "P96", "position": [3, 9], "step": 93, "ordinal_position": 94}, {"identifier": "J63", "position": [4, 9], "step": 94, "ordinal_position": 95}, {"identifier": "S45", "position": [5, 9], "step": 95, "ordinal_position": 96}, {"identifier": "H05", "position": [6, 9], "step": 96, "ordinal_position": 97}, {"identifier": "U48", "position": [7, 9], "step": 97, "ordinal_position": 98}, {"identifier": "V70", "position": [8, 9], "step": 98, "ordinal_position": 99}, {"identifier": "W26", "position": [9, 9], "step": 99, "ordinal_position": 100}, {"identifier": "O49", "position": [9, 8], "step": 100, "ordinal_position": 101}, {"identifier": "Q19", "position": [9, 7], "step": 101, "ordinal_position": 102}, {"identifier": "U56", "position": [9, 6], "step": 102, "ordinal_position": 103}, {"identifier": "L73", "position": [9, 5], "step": 103, "ordinal_position": 104}, {"identifier": "N03", "position": [8, 5], "step": 104, "ordinal_position": 105}, {"identifier": "E09", "position": [7, 5], "step": 105, "ordinal_position": 106}, {"identifier": "D03", "position": [6, 5], "step": 106, "ordinal_position": 107}, {"identifier": "G21", "position": [5, 5], "step": 107, "ordinal_position": 108}, {"identifier": "P40", "position": [4, 5], "step": 108, "ordinal_position": 109}, {"identifier": "T43", "position": [3, 5], "step": 109, "ordinal_position": 110}, {"identifier": "Q44", "position": [3, 4], "step": 110, "ordinal_position": 111}, {"identifier": "E76", "position": [3, 3], "step": 111, "ordinal_position": 112}, {"identifier": "G48", "position": [4, 3], "step": 112, "ordinal_position": 113}, {"identifier": "T51", "position": [5, 3], "step": 113, "ordinal_position": 114}, {"identifier": "L76", "position": [6, 3], "step": 114, "ordinal_position": 115}, {"identifier": "S08", "position": [7, 3], "step": 115, "ordinal_position": 116}, {"identifier": "L15", "position": [8, 3], "step": 116, "ordinal_position": 117}, {"identifier": "J51", "position": [9, 3], "step": 117, "ordinal_position": 118}, {"identifier": "C63", "position": [9, 2], "step": 118, "ordinal_position": 119}, {"identifier": "A71", "position": [9, 1], "step": 119, "ordinal_position": 120}, {"identifier": "U17", "position": [8, 1], "step": 120, "ordinal_position": 121}, {"identifier": "Z64", "position": [7, 1], "step": 121, "ordinal_position": 122}, {"identifier": "B94", "position": [6, 1], "step": 122, "ordinal_position": 123}, {"identifier": "Z15", "position": [5, 1], "step": 123, "ordinal_position": 124}, {"identifier": "K65", "position": [4, 1], "step": 124, "ordinal_position": 125}, {"identifier": "B69", "position": [3, 1], "step": 125, "ordinal_position": 126}, {"identifier": "D78", "position": [2, 1], "step": 126, "ordinal_position": 127}, {"identifier": "K44", "position": [1, 1], "step": 127, "ordinal_position": 128}, {"identifier": "A63", "position": [1, 2], "step": 128, "ordinal_position": 129}, {"identifier": "M74", "position": [1, 3], "step": 129, "ordinal_position": 130}, {"identifier": "T19", "position": [1, 4], "step": 130, "ordinal_position": 131}, {"identifier": "E72", "position": [1, 5], "step": 131, "ordinal_position": 132}, {"identifier": "F82", "position": [1, 6], "step": 132, "ordinal_position": 133}, {"identifier": "D01", "position": [1, 7], "step": 133, "ordinal_position": 134}, {"identifier": "D20", "position": [1, 8], "step": 134, "ordinal_position": 135}, {"identifier": "U27", "position": [1, 9], "step": 135, "ordinal_position": 136}, {"identifier": "W73", "position": [2, 9], "step": 136, "ordinal_position": 137}, {"identifier": "P96", "position": [3, 9], "step": 137, "ordinal_position": 138}, {"identifier": "J63", "position": [4, 9], "step": 138, "ordinal_position": 139}, {"identifier": "S45", "position": [5, 9], "step": 139, "ordinal_position": 140}, {"identifier": "H05", "position": [6, 9], "step": 140, "ordinal_position": 141}, {"identifier": "U48", "position": [7, 9], "step": 141, "ordinal_position": 142}, {"identifier": "V70", "position": [8, 9], "step": 142, "ordinal_position": 143}, {"identifier": "W26", "position": [9, 9], "step": 143, "ordinal_position": 144}, {"identifier": "O49", "position": [9, 8], "step": 144, "ordinal_position": 145}, {"identifier": "Q19", "position": [9, 7], "step": 145, "ordinal_position": 146}, {"identifier": "U56", "position": [9, 6], "step": 146, "ordinal_position": 147}, {"identifier": "L73", "position": [9, 5], "step": 147, "ordinal_position": 148}, {"identifier": "N03", "position": [8, 5], "step": 148, "ordinal_position": 149}, {"identifier": "E09", "position": [7, 5], "step": 149, "ordinal_position": 150}, {"identifier": "D03", "position": [6, 5], "step": 150, "ordinal_position": 151}, {"identifier": "G21", "position": [5, 5], "step": 151, "ordinal_position": 152}, {"identifier": "P40", "position": [4, 5], "step": 152, "ordinal_position": 153}, {"identifier": "T43", "position": [3, 5], "step": 153, "ordinal_position": 154}, {"identifier": "Q44", "position": [3, 4], "step": 154, "ordinal_position": 155}, {"identifier": "E76", "position": [3, 3], "step": 155, "ordinal_position": 156}, {"identifier": "G48", "position": [4, 3], "step": 156, "ordinal_position": 157}, {"identifier": "T51", "position": [5, 3], "step": 157, "ordinal_position": 158}, {"identifier": "L76", "position": [6, 3], "step": 158, "ordinal_position": 159}, {"identifier": "S08", "position": [7, 3], "step": 159, "ordinal_position": 160}, {"identifier": "L15", "position": [8, 3], "step": 160, "ordinal_position": 161}, {"identifier": "J51", "position": [9, 3], "step": 161, "ordinal_position": 162}, {"identifier": "C63", "position": [9, 2], "step": 162, "ordinal_position": 163}, {"identifier": "A71", "position": [9, 1], "step": 163, "ordinal_position": 164}, {"identifier": "U17", "position": [8, 1], "step": 164, "ordinal_position": 165}, {"identifier": "Z64", "position": [7, 1], "step": 165, "ordinal_position": 166}, {"identifier": "B94", "position": [6, 1], "step": 166, "ordinal_position": 167}, {"identifier": "Z15", "position": [5, 1], "step": 167, "ordinal_position": 168}, {"identifier": "K65", "position": [4, 1], "step": 168, "ordinal_position": 169}, {"identifier": "B69", "position": [3, 1], "step": 169, "ordinal_position": 170}, {"identifier": "D78", "position": [2, 1], "step": 170, "ordinal_position": 171}, {"identifier": "K44", "position": [1, 1], "step": 171, "ordinal_position": 172}, {"identifier": "A63", "position": [1, 2], "step": 172, "ordinal_position": 173}, {"identifier": "M74", "position": [1, 3], "step": 173, "ordinal_position": 174}, {"identifier": "T19", "position": [1, 4], "step": 174, "ordinal_position": 175}, {"identifier": "E72", "position": [1, 5], "step": 175, "ordinal_position": 176}, {"identifier": "F82", "position": [1, 6], "step": 176, "ordinal_position": 177}, {"identifier": "D01", "position": [1, 7], "step": 177, "ordinal_position": 178}, {"identifier": "D20", "position": [1, 8], "step": 178, "ordinal_position": 179}, {"identifier": "U27", "position": [1, 9], "step": 179, "ordinal_position": 180}, {"identifier": "W73", "position": [2, 9], "step": 180, "ordinal_position": 181}, {"identifier": "P96", "position": [3, 9], "step": 181, "ordinal_position": 182}, {"identifier": "J63", "position": [4, 9], "step": 182, "ordinal_position": 183}, {"identifier": "S45", "position": [5, 9], "step": 183, "ordinal_position": 184}, {"identifier": "H05", "position": [6, 9], "step": 184, "ordinal_position": 185}, {"identifier": "U48", "position": [7, 9], "step": 185, "ordinal_position": 186}, {"identifier": "V70", "position": [8, 9], "step": 186, "ordinal_position": 187}, {"identifier": "W26", "position": [9, 9], "step": 187, "ordinal_position": 188}, {"identifier": "O49", "position": [9, 8], "step": 188, "ordinal_position": 189}, {"identifier": "Q19", "position": [9, 7], "step": 189, "ordinal_position": 190}, {"identifier": "U56", "position": [9, 6], "step": 190, "ordinal_position": 191}, {"identifier": "L73", "position": [9, 5], "step": 191, "ordinal_position": 192}, {"identifier": "N03", "position": [8, 5], "step": 192, "ordinal_position": 193}, {"identifier": "E09", "position": [7, 5], "step": 193, "ordinal_position": 194}, {"identifier": "D03", "position": [6, 5], "step": 194, "ordinal_position": 195}, {"identifier": "G21", "position": [5, 5], "step": 195, "ordinal_position": 196}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 196, "direction": "down", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_015.json"}} {"qa_id": "0e7e58833e794e9ba027ed22d75f8fb6", "image_id": "L3-MazeLoop-test_11x11_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C43, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 197th position in this traversal?", "start_object_id": "C43", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [197], "ordinal_strings": ["197th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U17", "traversal_path": [{"identifier": "C43", "position": [2, 7], "step": 0, "ordinal_position": 1}, {"identifier": "M70", "position": [3, 7], "step": 1, "ordinal_position": 2}, {"identifier": "M11", "position": [3, 8], "step": 2, "ordinal_position": 3}, {"identifier": "P96", "position": [3, 9], "step": 3, "ordinal_position": 4}, {"identifier": "W73", "position": [2, 9], "step": 4, "ordinal_position": 5}, {"identifier": "U27", "position": [1, 9], "step": 5, "ordinal_position": 6}, {"identifier": "D20", "position": [1, 8], "step": 6, "ordinal_position": 7}, {"identifier": "D01", "position": [1, 7], "step": 7, "ordinal_position": 8}, {"identifier": "F82", "position": [1, 6], "step": 8, "ordinal_position": 9}, {"identifier": "E72", "position": [1, 5], "step": 9, "ordinal_position": 10}, {"identifier": "T19", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "M74", "position": [1, 3], "step": 11, "ordinal_position": 12}, {"identifier": "A63", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "K44", "position": [1, 1], "step": 13, "ordinal_position": 14}, {"identifier": "D78", "position": [2, 1], "step": 14, "ordinal_position": 15}, {"identifier": "B69", "position": [3, 1], "step": 15, "ordinal_position": 16}, {"identifier": "K65", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "Z15", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "B94", "position": [6, 1], "step": 18, "ordinal_position": 19}, {"identifier": "Z64", "position": [7, 1], "step": 19, "ordinal_position": 20}, {"identifier": "U17", "position": [8, 1], "step": 20, "ordinal_position": 21}, {"identifier": "A71", "position": [9, 1], "step": 21, "ordinal_position": 22}, {"identifier": "C63", "position": [9, 2], "step": 22, "ordinal_position": 23}, {"identifier": "J51", "position": [9, 3], "step": 23, "ordinal_position": 24}, {"identifier": "L15", "position": [8, 3], "step": 24, "ordinal_position": 25}, {"identifier": "S08", "position": [7, 3], "step": 25, "ordinal_position": 26}, {"identifier": "L76", "position": [6, 3], "step": 26, "ordinal_position": 27}, {"identifier": "T51", "position": [5, 3], "step": 27, "ordinal_position": 28}, {"identifier": "G48", "position": [4, 3], "step": 28, "ordinal_position": 29}, {"identifier": "E76", "position": [3, 3], "step": 29, "ordinal_position": 30}, {"identifier": "Q44", "position": [3, 4], "step": 30, "ordinal_position": 31}, {"identifier": "T43", "position": [3, 5], "step": 31, "ordinal_position": 32}, {"identifier": "P40", "position": [4, 5], "step": 32, "ordinal_position": 33}, {"identifier": "G21", "position": [5, 5], "step": 33, "ordinal_position": 34}, {"identifier": "D03", "position": [6, 5], "step": 34, "ordinal_position": 35}, {"identifier": "E09", "position": [7, 5], "step": 35, "ordinal_position": 36}, {"identifier": "N03", "position": [8, 5], "step": 36, "ordinal_position": 37}, {"identifier": "L73", "position": [9, 5], "step": 37, "ordinal_position": 38}, {"identifier": "U56", "position": [9, 6], "step": 38, "ordinal_position": 39}, {"identifier": "Q19", "position": [9, 7], "step": 39, "ordinal_position": 40}, {"identifier": "O49", "position": [9, 8], "step": 40, "ordinal_position": 41}, {"identifier": "W26", "position": [9, 9], "step": 41, "ordinal_position": 42}, {"identifier": "V70", "position": [8, 9], "step": 42, "ordinal_position": 43}, {"identifier": "U48", "position": [7, 9], "step": 43, "ordinal_position": 44}, {"identifier": "H05", "position": [6, 9], "step": 44, "ordinal_position": 45}, {"identifier": "S45", "position": [5, 9], "step": 45, "ordinal_position": 46}, {"identifier": "J63", "position": [4, 9], "step": 46, "ordinal_position": 47}, {"identifier": "P96", "position": [3, 9], "step": 47, "ordinal_position": 48}, {"identifier": "W73", "position": [2, 9], "step": 48, "ordinal_position": 49}, {"identifier": "U27", "position": [1, 9], "step": 49, "ordinal_position": 50}, {"identifier": "D20", "position": [1, 8], "step": 50, "ordinal_position": 51}, {"identifier": "D01", "position": [1, 7], "step": 51, "ordinal_position": 52}, {"identifier": "F82", "position": [1, 6], "step": 52, "ordinal_position": 53}, {"identifier": "E72", "position": [1, 5], "step": 53, "ordinal_position": 54}, {"identifier": "T19", "position": [1, 4], "step": 54, "ordinal_position": 55}, {"identifier": "M74", "position": [1, 3], "step": 55, "ordinal_position": 56}, {"identifier": "A63", "position": [1, 2], "step": 56, "ordinal_position": 57}, {"identifier": "K44", "position": [1, 1], "step": 57, "ordinal_position": 58}, {"identifier": "D78", "position": [2, 1], "step": 58, "ordinal_position": 59}, {"identifier": "B69", "position": [3, 1], "step": 59, "ordinal_position": 60}, {"identifier": "K65", "position": [4, 1], "step": 60, "ordinal_position": 61}, {"identifier": "Z15", "position": [5, 1], "step": 61, "ordinal_position": 62}, {"identifier": "B94", "position": [6, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Z64", "position": [7, 1], "step": 63, "ordinal_position": 64}, {"identifier": "U17", "position": [8, 1], "step": 64, "ordinal_position": 65}, {"identifier": "A71", "position": [9, 1], "step": 65, "ordinal_position": 66}, {"identifier": "C63", "position": [9, 2], "step": 66, "ordinal_position": 67}, {"identifier": "J51", "position": [9, 3], "step": 67, "ordinal_position": 68}, {"identifier": "L15", "position": [8, 3], "step": 68, "ordinal_position": 69}, {"identifier": "S08", "position": [7, 3], "step": 69, "ordinal_position": 70}, {"identifier": "L76", "position": [6, 3], "step": 70, "ordinal_position": 71}, {"identifier": "T51", "position": [5, 3], "step": 71, "ordinal_position": 72}, {"identifier": "G48", "position": [4, 3], "step": 72, "ordinal_position": 73}, {"identifier": "E76", "position": [3, 3], "step": 73, "ordinal_position": 74}, {"identifier": "Q44", "position": [3, 4], "step": 74, "ordinal_position": 75}, {"identifier": "T43", "position": [3, 5], "step": 75, "ordinal_position": 76}, {"identifier": "P40", "position": [4, 5], "step": 76, "ordinal_position": 77}, {"identifier": "G21", "position": [5, 5], "step": 77, "ordinal_position": 78}, {"identifier": "D03", "position": [6, 5], "step": 78, "ordinal_position": 79}, {"identifier": "E09", "position": [7, 5], "step": 79, "ordinal_position": 80}, {"identifier": "N03", "position": [8, 5], "step": 80, "ordinal_position": 81}, {"identifier": "L73", "position": [9, 5], "step": 81, "ordinal_position": 82}, {"identifier": "U56", "position": [9, 6], "step": 82, "ordinal_position": 83}, {"identifier": "Q19", "position": [9, 7], "step": 83, "ordinal_position": 84}, {"identifier": "O49", "position": [9, 8], "step": 84, "ordinal_position": 85}, {"identifier": "W26", "position": [9, 9], "step": 85, "ordinal_position": 86}, {"identifier": "V70", "position": [8, 9], "step": 86, "ordinal_position": 87}, {"identifier": "U48", "position": [7, 9], "step": 87, "ordinal_position": 88}, {"identifier": "H05", "position": [6, 9], "step": 88, "ordinal_position": 89}, {"identifier": "S45", "position": [5, 9], "step": 89, "ordinal_position": 90}, {"identifier": "J63", "position": [4, 9], "step": 90, "ordinal_position": 91}, {"identifier": "P96", "position": [3, 9], "step": 91, "ordinal_position": 92}, {"identifier": "W73", "position": [2, 9], "step": 92, "ordinal_position": 93}, {"identifier": "U27", "position": [1, 9], "step": 93, "ordinal_position": 94}, {"identifier": "D20", "position": [1, 8], "step": 94, "ordinal_position": 95}, {"identifier": "D01", "position": [1, 7], "step": 95, "ordinal_position": 96}, {"identifier": "F82", "position": [1, 6], "step": 96, "ordinal_position": 97}, {"identifier": "E72", "position": [1, 5], "step": 97, "ordinal_position": 98}, {"identifier": "T19", "position": [1, 4], "step": 98, "ordinal_position": 99}, {"identifier": "M74", "position": [1, 3], "step": 99, "ordinal_position": 100}, {"identifier": "A63", "position": [1, 2], "step": 100, "ordinal_position": 101}, {"identifier": "K44", "position": [1, 1], "step": 101, "ordinal_position": 102}, {"identifier": "D78", "position": [2, 1], "step": 102, "ordinal_position": 103}, {"identifier": "B69", "position": [3, 1], "step": 103, "ordinal_position": 104}, {"identifier": "K65", "position": [4, 1], "step": 104, "ordinal_position": 105}, {"identifier": "Z15", "position": [5, 1], "step": 105, "ordinal_position": 106}, {"identifier": "B94", "position": [6, 1], "step": 106, "ordinal_position": 107}, {"identifier": "Z64", "position": [7, 1], "step": 107, "ordinal_position": 108}, {"identifier": "U17", "position": [8, 1], "step": 108, "ordinal_position": 109}, {"identifier": "A71", "position": [9, 1], "step": 109, "ordinal_position": 110}, {"identifier": "C63", "position": [9, 2], "step": 110, "ordinal_position": 111}, {"identifier": "J51", "position": [9, 3], "step": 111, "ordinal_position": 112}, {"identifier": "L15", "position": [8, 3], "step": 112, "ordinal_position": 113}, {"identifier": "S08", "position": [7, 3], "step": 113, "ordinal_position": 114}, {"identifier": "L76", "position": [6, 3], "step": 114, "ordinal_position": 115}, {"identifier": "T51", "position": [5, 3], "step": 115, "ordinal_position": 116}, {"identifier": "G48", "position": [4, 3], "step": 116, "ordinal_position": 117}, {"identifier": "E76", "position": [3, 3], "step": 117, "ordinal_position": 118}, {"identifier": "Q44", "position": [3, 4], "step": 118, "ordinal_position": 119}, {"identifier": "T43", "position": [3, 5], "step": 119, "ordinal_position": 120}, {"identifier": "P40", "position": [4, 5], "step": 120, "ordinal_position": 121}, {"identifier": "G21", "position": [5, 5], "step": 121, "ordinal_position": 122}, {"identifier": "D03", "position": [6, 5], "step": 122, "ordinal_position": 123}, {"identifier": "E09", "position": [7, 5], "step": 123, "ordinal_position": 124}, {"identifier": "N03", "position": [8, 5], "step": 124, "ordinal_position": 125}, {"identifier": "L73", "position": [9, 5], "step": 125, "ordinal_position": 126}, {"identifier": "U56", "position": [9, 6], "step": 126, "ordinal_position": 127}, {"identifier": "Q19", "position": [9, 7], "step": 127, "ordinal_position": 128}, {"identifier": "O49", "position": [9, 8], "step": 128, "ordinal_position": 129}, {"identifier": "W26", "position": [9, 9], "step": 129, "ordinal_position": 130}, {"identifier": "V70", "position": [8, 9], "step": 130, "ordinal_position": 131}, {"identifier": "U48", "position": [7, 9], "step": 131, "ordinal_position": 132}, {"identifier": "H05", "position": [6, 9], "step": 132, "ordinal_position": 133}, {"identifier": "S45", "position": [5, 9], "step": 133, "ordinal_position": 134}, {"identifier": "J63", "position": [4, 9], "step": 134, "ordinal_position": 135}, {"identifier": "P96", "position": [3, 9], "step": 135, "ordinal_position": 136}, {"identifier": "W73", "position": [2, 9], "step": 136, "ordinal_position": 137}, {"identifier": "U27", "position": [1, 9], "step": 137, "ordinal_position": 138}, {"identifier": "D20", "position": [1, 8], "step": 138, "ordinal_position": 139}, {"identifier": "D01", "position": [1, 7], "step": 139, "ordinal_position": 140}, {"identifier": "F82", "position": [1, 6], "step": 140, "ordinal_position": 141}, {"identifier": "E72", "position": [1, 5], "step": 141, "ordinal_position": 142}, {"identifier": "T19", "position": [1, 4], "step": 142, "ordinal_position": 143}, {"identifier": "M74", "position": [1, 3], "step": 143, "ordinal_position": 144}, {"identifier": "A63", "position": [1, 2], "step": 144, "ordinal_position": 145}, {"identifier": "K44", "position": [1, 1], "step": 145, "ordinal_position": 146}, {"identifier": "D78", "position": [2, 1], "step": 146, "ordinal_position": 147}, {"identifier": "B69", "position": [3, 1], "step": 147, "ordinal_position": 148}, {"identifier": "K65", "position": [4, 1], "step": 148, "ordinal_position": 149}, {"identifier": "Z15", "position": [5, 1], "step": 149, "ordinal_position": 150}, {"identifier": "B94", "position": [6, 1], "step": 150, "ordinal_position": 151}, {"identifier": "Z64", "position": [7, 1], "step": 151, "ordinal_position": 152}, {"identifier": "U17", "position": [8, 1], "step": 152, "ordinal_position": 153}, {"identifier": "A71", "position": [9, 1], "step": 153, "ordinal_position": 154}, {"identifier": "C63", "position": [9, 2], "step": 154, "ordinal_position": 155}, {"identifier": "J51", "position": [9, 3], "step": 155, "ordinal_position": 156}, {"identifier": "L15", "position": [8, 3], "step": 156, "ordinal_position": 157}, {"identifier": "S08", "position": [7, 3], "step": 157, "ordinal_position": 158}, {"identifier": "L76", "position": [6, 3], "step": 158, "ordinal_position": 159}, {"identifier": "T51", "position": [5, 3], "step": 159, "ordinal_position": 160}, {"identifier": "G48", "position": [4, 3], "step": 160, "ordinal_position": 161}, {"identifier": "E76", "position": [3, 3], "step": 161, "ordinal_position": 162}, {"identifier": "Q44", "position": [3, 4], "step": 162, "ordinal_position": 163}, {"identifier": "T43", "position": [3, 5], "step": 163, "ordinal_position": 164}, {"identifier": "P40", "position": [4, 5], "step": 164, "ordinal_position": 165}, {"identifier": "G21", "position": [5, 5], "step": 165, "ordinal_position": 166}, {"identifier": "D03", "position": [6, 5], "step": 166, "ordinal_position": 167}, {"identifier": "E09", "position": [7, 5], "step": 167, "ordinal_position": 168}, {"identifier": "N03", "position": [8, 5], "step": 168, "ordinal_position": 169}, {"identifier": "L73", "position": [9, 5], "step": 169, "ordinal_position": 170}, {"identifier": "U56", "position": [9, 6], "step": 170, "ordinal_position": 171}, {"identifier": "Q19", "position": [9, 7], "step": 171, "ordinal_position": 172}, {"identifier": "O49", "position": [9, 8], "step": 172, "ordinal_position": 173}, {"identifier": "W26", "position": [9, 9], "step": 173, "ordinal_position": 174}, {"identifier": "V70", "position": [8, 9], "step": 174, "ordinal_position": 175}, {"identifier": "U48", "position": [7, 9], "step": 175, "ordinal_position": 176}, {"identifier": "H05", "position": [6, 9], "step": 176, "ordinal_position": 177}, {"identifier": "S45", "position": [5, 9], "step": 177, "ordinal_position": 178}, {"identifier": "J63", "position": [4, 9], "step": 178, "ordinal_position": 179}, {"identifier": "P96", "position": [3, 9], "step": 179, "ordinal_position": 180}, {"identifier": "W73", "position": [2, 9], "step": 180, "ordinal_position": 181}, {"identifier": "U27", "position": [1, 9], "step": 181, "ordinal_position": 182}, {"identifier": "D20", "position": [1, 8], "step": 182, "ordinal_position": 183}, {"identifier": "D01", "position": [1, 7], "step": 183, "ordinal_position": 184}, {"identifier": "F82", "position": [1, 6], "step": 184, "ordinal_position": 185}, {"identifier": "E72", "position": [1, 5], "step": 185, "ordinal_position": 186}, {"identifier": "T19", "position": [1, 4], "step": 186, "ordinal_position": 187}, {"identifier": "M74", "position": [1, 3], "step": 187, "ordinal_position": 188}, {"identifier": "A63", "position": [1, 2], "step": 188, "ordinal_position": 189}, {"identifier": "K44", "position": [1, 1], "step": 189, "ordinal_position": 190}, {"identifier": "D78", "position": [2, 1], "step": 190, "ordinal_position": 191}, {"identifier": "B69", "position": [3, 1], "step": 191, "ordinal_position": 192}, {"identifier": "K65", "position": [4, 1], "step": 192, "ordinal_position": 193}, {"identifier": "Z15", "position": [5, 1], "step": 193, "ordinal_position": 194}, {"identifier": "B94", "position": [6, 1], "step": 194, "ordinal_position": 195}, {"identifier": "Z64", "position": [7, 1], "step": 195, "ordinal_position": 196}, {"identifier": "U17", "position": [8, 1], "step": 196, "ordinal_position": 197}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 197, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_015.json"}} {"qa_id": "69d428d28d6b40bdbbf78abdd3382160", "image_id": "L3-MazeLoop-test_11x11_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M11, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 110th position in this traversal?", "start_object_id": "M11", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [110], "ordinal_strings": ["110th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "S08", "traversal_path": [{"identifier": "M11", "position": [3, 8], "step": 0, "ordinal_position": 1}, {"identifier": "M70", "position": [3, 7], "step": 1, "ordinal_position": 2}, {"identifier": "C43", "position": [2, 7], "step": 2, "ordinal_position": 3}, {"identifier": "D01", "position": [1, 7], "step": 3, "ordinal_position": 4}, {"identifier": "F82", "position": [1, 6], "step": 4, "ordinal_position": 5}, {"identifier": "E72", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "T19", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "M74", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "A63", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "K44", "position": [1, 1], "step": 9, "ordinal_position": 10}, {"identifier": "D78", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "B69", "position": [3, 1], "step": 11, "ordinal_position": 12}, {"identifier": "K65", "position": [4, 1], "step": 12, "ordinal_position": 13}, {"identifier": "Z15", "position": [5, 1], "step": 13, "ordinal_position": 14}, {"identifier": "B94", "position": [6, 1], "step": 14, "ordinal_position": 15}, {"identifier": "Z64", "position": [7, 1], "step": 15, "ordinal_position": 16}, {"identifier": "U17", "position": [8, 1], "step": 16, "ordinal_position": 17}, {"identifier": "A71", "position": [9, 1], "step": 17, "ordinal_position": 18}, {"identifier": "C63", "position": [9, 2], "step": 18, "ordinal_position": 19}, {"identifier": "J51", "position": [9, 3], "step": 19, "ordinal_position": 20}, {"identifier": "L15", "position": [8, 3], "step": 20, "ordinal_position": 21}, {"identifier": "S08", "position": [7, 3], "step": 21, "ordinal_position": 22}, {"identifier": "L76", "position": [6, 3], "step": 22, "ordinal_position": 23}, {"identifier": "T51", "position": [5, 3], "step": 23, "ordinal_position": 24}, {"identifier": "G48", "position": [4, 3], "step": 24, "ordinal_position": 25}, {"identifier": "E76", "position": [3, 3], "step": 25, "ordinal_position": 26}, {"identifier": "Q44", "position": [3, 4], "step": 26, "ordinal_position": 27}, {"identifier": "T43", "position": [3, 5], "step": 27, "ordinal_position": 28}, {"identifier": "P40", "position": [4, 5], "step": 28, "ordinal_position": 29}, {"identifier": "G21", "position": [5, 5], "step": 29, "ordinal_position": 30}, {"identifier": "D03", "position": [6, 5], "step": 30, "ordinal_position": 31}, {"identifier": "E09", "position": [7, 5], "step": 31, "ordinal_position": 32}, {"identifier": "N03", "position": [8, 5], "step": 32, "ordinal_position": 33}, {"identifier": "L73", "position": [9, 5], "step": 33, "ordinal_position": 34}, {"identifier": "U56", "position": [9, 6], "step": 34, "ordinal_position": 35}, {"identifier": "Q19", "position": [9, 7], "step": 35, "ordinal_position": 36}, {"identifier": "O49", "position": [9, 8], "step": 36, "ordinal_position": 37}, {"identifier": "W26", "position": [9, 9], "step": 37, "ordinal_position": 38}, {"identifier": "V70", "position": [8, 9], "step": 38, "ordinal_position": 39}, {"identifier": "U48", "position": [7, 9], "step": 39, "ordinal_position": 40}, {"identifier": "H05", "position": [6, 9], "step": 40, "ordinal_position": 41}, {"identifier": "S45", "position": [5, 9], "step": 41, "ordinal_position": 42}, {"identifier": "J63", "position": [4, 9], "step": 42, "ordinal_position": 43}, {"identifier": "P96", "position": [3, 9], "step": 43, "ordinal_position": 44}, {"identifier": "W73", "position": [2, 9], "step": 44, "ordinal_position": 45}, {"identifier": "U27", "position": [1, 9], "step": 45, "ordinal_position": 46}, {"identifier": "D20", "position": [1, 8], "step": 46, "ordinal_position": 47}, {"identifier": "D01", "position": [1, 7], "step": 47, "ordinal_position": 48}, {"identifier": "F82", "position": [1, 6], "step": 48, "ordinal_position": 49}, {"identifier": "E72", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "T19", "position": [1, 4], "step": 50, "ordinal_position": 51}, {"identifier": "M74", "position": [1, 3], "step": 51, "ordinal_position": 52}, {"identifier": "A63", "position": [1, 2], "step": 52, "ordinal_position": 53}, {"identifier": "K44", "position": [1, 1], "step": 53, "ordinal_position": 54}, {"identifier": "D78", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "B69", "position": [3, 1], "step": 55, "ordinal_position": 56}, {"identifier": "K65", "position": [4, 1], "step": 56, "ordinal_position": 57}, {"identifier": "Z15", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "B94", "position": [6, 1], "step": 58, "ordinal_position": 59}, {"identifier": "Z64", "position": [7, 1], "step": 59, "ordinal_position": 60}, {"identifier": "U17", "position": [8, 1], "step": 60, "ordinal_position": 61}, {"identifier": "A71", "position": [9, 1], "step": 61, "ordinal_position": 62}, {"identifier": "C63", "position": [9, 2], "step": 62, "ordinal_position": 63}, {"identifier": "J51", "position": [9, 3], "step": 63, "ordinal_position": 64}, {"identifier": "L15", "position": [8, 3], "step": 64, "ordinal_position": 65}, {"identifier": "S08", "position": [7, 3], "step": 65, "ordinal_position": 66}, {"identifier": "L76", "position": [6, 3], "step": 66, "ordinal_position": 67}, {"identifier": "T51", "position": [5, 3], "step": 67, "ordinal_position": 68}, {"identifier": "G48", "position": [4, 3], "step": 68, "ordinal_position": 69}, {"identifier": "E76", "position": [3, 3], "step": 69, "ordinal_position": 70}, {"identifier": "Q44", "position": [3, 4], "step": 70, "ordinal_position": 71}, {"identifier": "T43", "position": [3, 5], "step": 71, "ordinal_position": 72}, {"identifier": "P40", "position": [4, 5], "step": 72, "ordinal_position": 73}, {"identifier": "G21", "position": [5, 5], "step": 73, "ordinal_position": 74}, {"identifier": "D03", "position": [6, 5], "step": 74, "ordinal_position": 75}, {"identifier": "E09", "position": [7, 5], "step": 75, "ordinal_position": 76}, {"identifier": "N03", "position": [8, 5], "step": 76, "ordinal_position": 77}, {"identifier": "L73", "position": [9, 5], "step": 77, "ordinal_position": 78}, {"identifier": "U56", "position": [9, 6], "step": 78, "ordinal_position": 79}, {"identifier": "Q19", "position": [9, 7], "step": 79, "ordinal_position": 80}, {"identifier": "O49", "position": [9, 8], "step": 80, "ordinal_position": 81}, {"identifier": "W26", "position": [9, 9], "step": 81, "ordinal_position": 82}, {"identifier": "V70", "position": [8, 9], "step": 82, "ordinal_position": 83}, {"identifier": "U48", "position": [7, 9], "step": 83, "ordinal_position": 84}, {"identifier": "H05", "position": [6, 9], "step": 84, "ordinal_position": 85}, {"identifier": "S45", "position": [5, 9], "step": 85, "ordinal_position": 86}, {"identifier": "J63", "position": [4, 9], "step": 86, "ordinal_position": 87}, {"identifier": "P96", "position": [3, 9], "step": 87, "ordinal_position": 88}, {"identifier": "W73", "position": [2, 9], "step": 88, "ordinal_position": 89}, {"identifier": "U27", "position": [1, 9], "step": 89, "ordinal_position": 90}, {"identifier": "D20", "position": [1, 8], "step": 90, "ordinal_position": 91}, {"identifier": "D01", "position": [1, 7], "step": 91, "ordinal_position": 92}, {"identifier": "F82", "position": [1, 6], "step": 92, "ordinal_position": 93}, {"identifier": "E72", "position": [1, 5], "step": 93, "ordinal_position": 94}, {"identifier": "T19", "position": [1, 4], "step": 94, "ordinal_position": 95}, {"identifier": "M74", "position": [1, 3], "step": 95, "ordinal_position": 96}, {"identifier": "A63", "position": [1, 2], "step": 96, "ordinal_position": 97}, {"identifier": "K44", "position": [1, 1], "step": 97, "ordinal_position": 98}, {"identifier": "D78", "position": [2, 1], "step": 98, "ordinal_position": 99}, {"identifier": "B69", "position": [3, 1], "step": 99, "ordinal_position": 100}, {"identifier": "K65", "position": [4, 1], "step": 100, "ordinal_position": 101}, {"identifier": "Z15", "position": [5, 1], "step": 101, "ordinal_position": 102}, {"identifier": "B94", "position": [6, 1], "step": 102, "ordinal_position": 103}, {"identifier": "Z64", "position": [7, 1], "step": 103, "ordinal_position": 104}, {"identifier": "U17", "position": [8, 1], "step": 104, "ordinal_position": 105}, {"identifier": "A71", "position": [9, 1], "step": 105, "ordinal_position": 106}, {"identifier": "C63", "position": [9, 2], "step": 106, "ordinal_position": 107}, {"identifier": "J51", "position": [9, 3], "step": 107, "ordinal_position": 108}, {"identifier": "L15", "position": [8, 3], "step": 108, "ordinal_position": 109}, {"identifier": "S08", "position": [7, 3], "step": 109, "ordinal_position": 110}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 110, "direction": "up", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_015.json"}} {"qa_id": "f625c9277f3841b5beb4f11d7adc41b5", "image_id": "L3-MazeLoop-test_11x11_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L15, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 259th position in this traversal?", "start_object_id": "L15", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [259], "ordinal_strings": ["259th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q44", "traversal_path": [{"identifier": "L15", "position": [8, 3], "step": 0, "ordinal_position": 1}, {"identifier": "J51", "position": [9, 3], "step": 1, "ordinal_position": 2}, {"identifier": "C63", "position": [9, 2], "step": 2, "ordinal_position": 3}, {"identifier": "A71", "position": [9, 1], "step": 3, "ordinal_position": 4}, {"identifier": "U17", "position": [8, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Z64", "position": [7, 1], "step": 5, "ordinal_position": 6}, {"identifier": "B94", "position": [6, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Z15", "position": [5, 1], "step": 7, "ordinal_position": 8}, {"identifier": "K65", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "B69", "position": [3, 1], "step": 9, "ordinal_position": 10}, {"identifier": "D78", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "K44", "position": [1, 1], "step": 11, "ordinal_position": 12}, {"identifier": "A63", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "M74", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "T19", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "E72", "position": [1, 5], "step": 15, "ordinal_position": 16}, {"identifier": "F82", "position": [1, 6], "step": 16, "ordinal_position": 17}, {"identifier": "D01", "position": [1, 7], "step": 17, "ordinal_position": 18}, {"identifier": "D20", "position": [1, 8], "step": 18, "ordinal_position": 19}, {"identifier": "U27", "position": [1, 9], "step": 19, "ordinal_position": 20}, {"identifier": "W73", "position": [2, 9], "step": 20, "ordinal_position": 21}, {"identifier": "P96", "position": [3, 9], "step": 21, "ordinal_position": 22}, {"identifier": "J63", "position": [4, 9], "step": 22, "ordinal_position": 23}, {"identifier": "S45", "position": [5, 9], "step": 23, "ordinal_position": 24}, {"identifier": "H05", "position": [6, 9], "step": 24, "ordinal_position": 25}, {"identifier": "U48", "position": [7, 9], "step": 25, "ordinal_position": 26}, {"identifier": "V70", "position": [8, 9], "step": 26, "ordinal_position": 27}, {"identifier": "W26", "position": [9, 9], "step": 27, "ordinal_position": 28}, {"identifier": "O49", "position": [9, 8], "step": 28, "ordinal_position": 29}, {"identifier": "Q19", "position": [9, 7], "step": 29, "ordinal_position": 30}, {"identifier": "U56", "position": [9, 6], "step": 30, "ordinal_position": 31}, {"identifier": "L73", "position": [9, 5], "step": 31, "ordinal_position": 32}, {"identifier": "N03", "position": [8, 5], "step": 32, "ordinal_position": 33}, {"identifier": "E09", "position": [7, 5], "step": 33, "ordinal_position": 34}, {"identifier": "D03", "position": [6, 5], "step": 34, "ordinal_position": 35}, {"identifier": "G21", "position": [5, 5], "step": 35, "ordinal_position": 36}, {"identifier": "P40", "position": [4, 5], "step": 36, "ordinal_position": 37}, {"identifier": "T43", "position": [3, 5], "step": 37, "ordinal_position": 38}, {"identifier": "Q44", "position": [3, 4], "step": 38, "ordinal_position": 39}, {"identifier": "E76", "position": [3, 3], "step": 39, "ordinal_position": 40}, {"identifier": "G48", "position": [4, 3], "step": 40, "ordinal_position": 41}, {"identifier": "T51", "position": [5, 3], "step": 41, "ordinal_position": 42}, {"identifier": "L76", "position": [6, 3], "step": 42, "ordinal_position": 43}, {"identifier": "S08", "position": [7, 3], "step": 43, "ordinal_position": 44}, {"identifier": "L15", "position": [8, 3], "step": 44, "ordinal_position": 45}, {"identifier": "J51", "position": [9, 3], "step": 45, "ordinal_position": 46}, {"identifier": "C63", "position": [9, 2], "step": 46, "ordinal_position": 47}, {"identifier": "A71", "position": [9, 1], "step": 47, "ordinal_position": 48}, {"identifier": "U17", "position": [8, 1], "step": 48, "ordinal_position": 49}, {"identifier": "Z64", "position": [7, 1], "step": 49, "ordinal_position": 50}, {"identifier": "B94", "position": [6, 1], "step": 50, "ordinal_position": 51}, {"identifier": "Z15", "position": [5, 1], "step": 51, "ordinal_position": 52}, {"identifier": "K65", "position": [4, 1], "step": 52, "ordinal_position": 53}, {"identifier": "B69", "position": [3, 1], "step": 53, "ordinal_position": 54}, {"identifier": "D78", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "K44", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "A63", "position": [1, 2], "step": 56, "ordinal_position": 57}, {"identifier": "M74", "position": [1, 3], "step": 57, "ordinal_position": 58}, {"identifier": "T19", "position": [1, 4], "step": 58, "ordinal_position": 59}, {"identifier": "E72", "position": [1, 5], "step": 59, "ordinal_position": 60}, {"identifier": "F82", "position": [1, 6], "step": 60, "ordinal_position": 61}, {"identifier": "D01", "position": [1, 7], "step": 61, "ordinal_position": 62}, {"identifier": "D20", "position": [1, 8], "step": 62, "ordinal_position": 63}, {"identifier": "U27", "position": [1, 9], "step": 63, "ordinal_position": 64}, {"identifier": "W73", "position": [2, 9], "step": 64, "ordinal_position": 65}, {"identifier": "P96", "position": [3, 9], "step": 65, "ordinal_position": 66}, {"identifier": "J63", "position": [4, 9], "step": 66, "ordinal_position": 67}, {"identifier": "S45", "position": [5, 9], "step": 67, "ordinal_position": 68}, {"identifier": "H05", "position": [6, 9], "step": 68, "ordinal_position": 69}, {"identifier": "U48", "position": [7, 9], "step": 69, "ordinal_position": 70}, {"identifier": "V70", "position": [8, 9], "step": 70, "ordinal_position": 71}, {"identifier": "W26", "position": [9, 9], "step": 71, "ordinal_position": 72}, {"identifier": "O49", "position": [9, 8], "step": 72, "ordinal_position": 73}, {"identifier": "Q19", "position": [9, 7], "step": 73, "ordinal_position": 74}, {"identifier": "U56", "position": [9, 6], "step": 74, "ordinal_position": 75}, {"identifier": "L73", "position": [9, 5], "step": 75, "ordinal_position": 76}, {"identifier": "N03", "position": [8, 5], "step": 76, "ordinal_position": 77}, {"identifier": "E09", "position": [7, 5], "step": 77, "ordinal_position": 78}, {"identifier": "D03", "position": [6, 5], "step": 78, "ordinal_position": 79}, {"identifier": "G21", "position": [5, 5], "step": 79, "ordinal_position": 80}, {"identifier": "P40", "position": [4, 5], "step": 80, "ordinal_position": 81}, {"identifier": "T43", "position": [3, 5], "step": 81, "ordinal_position": 82}, {"identifier": "Q44", "position": [3, 4], "step": 82, "ordinal_position": 83}, {"identifier": "E76", "position": [3, 3], "step": 83, "ordinal_position": 84}, {"identifier": "G48", "position": [4, 3], "step": 84, "ordinal_position": 85}, {"identifier": "T51", "position": [5, 3], "step": 85, "ordinal_position": 86}, {"identifier": "L76", "position": [6, 3], "step": 86, "ordinal_position": 87}, {"identifier": "S08", "position": [7, 3], "step": 87, "ordinal_position": 88}, {"identifier": "L15", "position": [8, 3], "step": 88, "ordinal_position": 89}, {"identifier": "J51", "position": [9, 3], "step": 89, "ordinal_position": 90}, {"identifier": "C63", "position": [9, 2], "step": 90, "ordinal_position": 91}, {"identifier": "A71", "position": [9, 1], "step": 91, "ordinal_position": 92}, {"identifier": "U17", "position": [8, 1], "step": 92, "ordinal_position": 93}, {"identifier": "Z64", "position": [7, 1], "step": 93, "ordinal_position": 94}, {"identifier": "B94", "position": [6, 1], "step": 94, "ordinal_position": 95}, {"identifier": "Z15", "position": [5, 1], "step": 95, "ordinal_position": 96}, {"identifier": "K65", "position": [4, 1], "step": 96, "ordinal_position": 97}, {"identifier": "B69", "position": [3, 1], "step": 97, "ordinal_position": 98}, {"identifier": "D78", "position": [2, 1], "step": 98, "ordinal_position": 99}, {"identifier": "K44", "position": [1, 1], "step": 99, "ordinal_position": 100}, {"identifier": "A63", "position": [1, 2], "step": 100, "ordinal_position": 101}, {"identifier": "M74", "position": [1, 3], "step": 101, "ordinal_position": 102}, {"identifier": "T19", "position": [1, 4], "step": 102, "ordinal_position": 103}, {"identifier": "E72", "position": [1, 5], "step": 103, "ordinal_position": 104}, {"identifier": "F82", "position": [1, 6], "step": 104, "ordinal_position": 105}, {"identifier": "D01", "position": [1, 7], "step": 105, "ordinal_position": 106}, {"identifier": "D20", "position": [1, 8], "step": 106, "ordinal_position": 107}, {"identifier": "U27", "position": [1, 9], "step": 107, "ordinal_position": 108}, {"identifier": "W73", "position": [2, 9], "step": 108, "ordinal_position": 109}, {"identifier": "P96", "position": [3, 9], "step": 109, "ordinal_position": 110}, {"identifier": "J63", "position": [4, 9], "step": 110, "ordinal_position": 111}, {"identifier": "S45", "position": [5, 9], "step": 111, "ordinal_position": 112}, {"identifier": "H05", "position": [6, 9], "step": 112, "ordinal_position": 113}, {"identifier": "U48", "position": [7, 9], "step": 113, "ordinal_position": 114}, {"identifier": "V70", "position": [8, 9], "step": 114, "ordinal_position": 115}, {"identifier": "W26", "position": [9, 9], "step": 115, "ordinal_position": 116}, {"identifier": "O49", "position": [9, 8], "step": 116, "ordinal_position": 117}, {"identifier": "Q19", "position": [9, 7], "step": 117, "ordinal_position": 118}, {"identifier": "U56", "position": [9, 6], "step": 118, "ordinal_position": 119}, {"identifier": "L73", "position": [9, 5], "step": 119, "ordinal_position": 120}, {"identifier": "N03", "position": [8, 5], "step": 120, "ordinal_position": 121}, {"identifier": "E09", "position": [7, 5], "step": 121, "ordinal_position": 122}, {"identifier": "D03", "position": [6, 5], "step": 122, "ordinal_position": 123}, {"identifier": "G21", "position": [5, 5], "step": 123, "ordinal_position": 124}, {"identifier": "P40", "position": [4, 5], "step": 124, "ordinal_position": 125}, {"identifier": "T43", "position": [3, 5], "step": 125, "ordinal_position": 126}, {"identifier": "Q44", "position": [3, 4], "step": 126, "ordinal_position": 127}, {"identifier": "E76", "position": [3, 3], "step": 127, "ordinal_position": 128}, {"identifier": "G48", "position": [4, 3], "step": 128, "ordinal_position": 129}, {"identifier": "T51", "position": [5, 3], "step": 129, "ordinal_position": 130}, {"identifier": "L76", "position": [6, 3], "step": 130, "ordinal_position": 131}, {"identifier": "S08", "position": [7, 3], "step": 131, "ordinal_position": 132}, {"identifier": "L15", "position": [8, 3], "step": 132, "ordinal_position": 133}, {"identifier": "J51", "position": [9, 3], "step": 133, "ordinal_position": 134}, {"identifier": "C63", "position": [9, 2], "step": 134, "ordinal_position": 135}, {"identifier": "A71", "position": [9, 1], "step": 135, "ordinal_position": 136}, {"identifier": "U17", "position": [8, 1], "step": 136, "ordinal_position": 137}, {"identifier": "Z64", "position": [7, 1], "step": 137, "ordinal_position": 138}, {"identifier": "B94", "position": [6, 1], "step": 138, "ordinal_position": 139}, {"identifier": "Z15", "position": [5, 1], "step": 139, "ordinal_position": 140}, {"identifier": "K65", "position": [4, 1], "step": 140, "ordinal_position": 141}, {"identifier": "B69", "position": [3, 1], "step": 141, "ordinal_position": 142}, {"identifier": "D78", "position": [2, 1], "step": 142, "ordinal_position": 143}, {"identifier": "K44", "position": [1, 1], "step": 143, "ordinal_position": 144}, {"identifier": "A63", "position": [1, 2], "step": 144, "ordinal_position": 145}, {"identifier": "M74", "position": [1, 3], "step": 145, "ordinal_position": 146}, {"identifier": "T19", "position": [1, 4], "step": 146, "ordinal_position": 147}, {"identifier": "E72", "position": [1, 5], "step": 147, "ordinal_position": 148}, {"identifier": "F82", "position": [1, 6], "step": 148, "ordinal_position": 149}, {"identifier": "D01", "position": [1, 7], "step": 149, "ordinal_position": 150}, {"identifier": "D20", "position": [1, 8], "step": 150, "ordinal_position": 151}, {"identifier": "U27", "position": [1, 9], "step": 151, "ordinal_position": 152}, {"identifier": "W73", "position": [2, 9], "step": 152, "ordinal_position": 153}, {"identifier": "P96", "position": [3, 9], "step": 153, "ordinal_position": 154}, {"identifier": "J63", "position": [4, 9], "step": 154, "ordinal_position": 155}, {"identifier": "S45", "position": [5, 9], "step": 155, "ordinal_position": 156}, {"identifier": "H05", "position": [6, 9], "step": 156, "ordinal_position": 157}, {"identifier": "U48", "position": [7, 9], "step": 157, "ordinal_position": 158}, {"identifier": "V70", "position": [8, 9], "step": 158, "ordinal_position": 159}, {"identifier": "W26", "position": [9, 9], "step": 159, "ordinal_position": 160}, {"identifier": "O49", "position": [9, 8], "step": 160, "ordinal_position": 161}, {"identifier": "Q19", "position": [9, 7], "step": 161, "ordinal_position": 162}, {"identifier": "U56", "position": [9, 6], "step": 162, "ordinal_position": 163}, {"identifier": "L73", "position": [9, 5], "step": 163, "ordinal_position": 164}, {"identifier": "N03", "position": [8, 5], "step": 164, "ordinal_position": 165}, {"identifier": "E09", "position": [7, 5], "step": 165, "ordinal_position": 166}, {"identifier": "D03", "position": [6, 5], "step": 166, "ordinal_position": 167}, {"identifier": "G21", "position": [5, 5], "step": 167, "ordinal_position": 168}, {"identifier": "P40", "position": [4, 5], "step": 168, "ordinal_position": 169}, {"identifier": "T43", "position": [3, 5], "step": 169, "ordinal_position": 170}, {"identifier": "Q44", "position": [3, 4], "step": 170, "ordinal_position": 171}, {"identifier": "E76", "position": [3, 3], "step": 171, "ordinal_position": 172}, {"identifier": "G48", "position": [4, 3], "step": 172, "ordinal_position": 173}, {"identifier": "T51", "position": [5, 3], "step": 173, "ordinal_position": 174}, {"identifier": "L76", "position": [6, 3], "step": 174, "ordinal_position": 175}, {"identifier": "S08", "position": [7, 3], "step": 175, "ordinal_position": 176}, {"identifier": "L15", "position": [8, 3], "step": 176, "ordinal_position": 177}, {"identifier": "J51", "position": [9, 3], "step": 177, "ordinal_position": 178}, {"identifier": "C63", "position": [9, 2], "step": 178, "ordinal_position": 179}, {"identifier": "A71", "position": [9, 1], "step": 179, "ordinal_position": 180}, {"identifier": "U17", "position": [8, 1], "step": 180, "ordinal_position": 181}, {"identifier": "Z64", "position": [7, 1], "step": 181, "ordinal_position": 182}, {"identifier": "B94", "position": [6, 1], "step": 182, "ordinal_position": 183}, {"identifier": "Z15", "position": [5, 1], "step": 183, "ordinal_position": 184}, {"identifier": "K65", "position": [4, 1], "step": 184, "ordinal_position": 185}, {"identifier": "B69", "position": [3, 1], "step": 185, "ordinal_position": 186}, {"identifier": "D78", "position": [2, 1], "step": 186, "ordinal_position": 187}, {"identifier": "K44", "position": [1, 1], "step": 187, "ordinal_position": 188}, {"identifier": "A63", "position": [1, 2], "step": 188, "ordinal_position": 189}, {"identifier": "M74", "position": [1, 3], "step": 189, "ordinal_position": 190}, {"identifier": "T19", "position": [1, 4], "step": 190, "ordinal_position": 191}, {"identifier": "E72", "position": [1, 5], "step": 191, "ordinal_position": 192}, {"identifier": "F82", "position": [1, 6], "step": 192, "ordinal_position": 193}, {"identifier": "D01", "position": [1, 7], "step": 193, "ordinal_position": 194}, {"identifier": "D20", "position": [1, 8], "step": 194, "ordinal_position": 195}, {"identifier": "U27", "position": [1, 9], "step": 195, "ordinal_position": 196}, {"identifier": "W73", "position": [2, 9], "step": 196, "ordinal_position": 197}, {"identifier": "P96", "position": [3, 9], "step": 197, "ordinal_position": 198}, {"identifier": "J63", "position": [4, 9], "step": 198, "ordinal_position": 199}, {"identifier": "S45", "position": [5, 9], "step": 199, "ordinal_position": 200}, {"identifier": "H05", "position": [6, 9], "step": 200, "ordinal_position": 201}, {"identifier": "U48", "position": [7, 9], "step": 201, "ordinal_position": 202}, {"identifier": "V70", "position": [8, 9], "step": 202, "ordinal_position": 203}, {"identifier": "W26", "position": [9, 9], "step": 203, "ordinal_position": 204}, {"identifier": "O49", "position": [9, 8], "step": 204, "ordinal_position": 205}, {"identifier": "Q19", "position": [9, 7], "step": 205, "ordinal_position": 206}, {"identifier": "U56", "position": [9, 6], "step": 206, "ordinal_position": 207}, {"identifier": "L73", "position": [9, 5], "step": 207, "ordinal_position": 208}, {"identifier": "N03", "position": [8, 5], "step": 208, "ordinal_position": 209}, {"identifier": "E09", "position": [7, 5], "step": 209, "ordinal_position": 210}, {"identifier": "D03", "position": [6, 5], "step": 210, "ordinal_position": 211}, {"identifier": "G21", "position": [5, 5], "step": 211, "ordinal_position": 212}, {"identifier": "P40", "position": [4, 5], "step": 212, "ordinal_position": 213}, {"identifier": "T43", "position": [3, 5], "step": 213, "ordinal_position": 214}, {"identifier": "Q44", "position": [3, 4], "step": 214, "ordinal_position": 215}, {"identifier": "E76", "position": [3, 3], "step": 215, "ordinal_position": 216}, {"identifier": "G48", "position": [4, 3], "step": 216, "ordinal_position": 217}, {"identifier": "T51", "position": [5, 3], "step": 217, "ordinal_position": 218}, {"identifier": "L76", "position": [6, 3], "step": 218, "ordinal_position": 219}, {"identifier": "S08", "position": [7, 3], "step": 219, "ordinal_position": 220}, {"identifier": "L15", "position": [8, 3], "step": 220, "ordinal_position": 221}, {"identifier": "J51", "position": [9, 3], "step": 221, "ordinal_position": 222}, {"identifier": "C63", "position": [9, 2], "step": 222, "ordinal_position": 223}, {"identifier": "A71", "position": [9, 1], "step": 223, "ordinal_position": 224}, {"identifier": "U17", "position": [8, 1], "step": 224, "ordinal_position": 225}, {"identifier": "Z64", "position": [7, 1], "step": 225, "ordinal_position": 226}, {"identifier": "B94", "position": [6, 1], "step": 226, "ordinal_position": 227}, {"identifier": "Z15", "position": [5, 1], "step": 227, "ordinal_position": 228}, {"identifier": "K65", "position": [4, 1], "step": 228, "ordinal_position": 229}, {"identifier": "B69", "position": [3, 1], "step": 229, "ordinal_position": 230}, {"identifier": "D78", "position": [2, 1], "step": 230, "ordinal_position": 231}, {"identifier": "K44", "position": [1, 1], "step": 231, "ordinal_position": 232}, {"identifier": "A63", "position": [1, 2], "step": 232, "ordinal_position": 233}, {"identifier": "M74", "position": [1, 3], "step": 233, "ordinal_position": 234}, {"identifier": "T19", "position": [1, 4], "step": 234, "ordinal_position": 235}, {"identifier": "E72", "position": [1, 5], "step": 235, "ordinal_position": 236}, {"identifier": "F82", "position": [1, 6], "step": 236, "ordinal_position": 237}, {"identifier": "D01", "position": [1, 7], "step": 237, "ordinal_position": 238}, {"identifier": "D20", "position": [1, 8], "step": 238, "ordinal_position": 239}, {"identifier": "U27", "position": [1, 9], "step": 239, "ordinal_position": 240}, {"identifier": "W73", "position": [2, 9], "step": 240, "ordinal_position": 241}, {"identifier": "P96", "position": [3, 9], "step": 241, "ordinal_position": 242}, {"identifier": "J63", "position": [4, 9], "step": 242, "ordinal_position": 243}, {"identifier": "S45", "position": [5, 9], "step": 243, "ordinal_position": 244}, {"identifier": "H05", "position": [6, 9], "step": 244, "ordinal_position": 245}, {"identifier": "U48", "position": [7, 9], "step": 245, "ordinal_position": 246}, {"identifier": "V70", "position": [8, 9], "step": 246, "ordinal_position": 247}, {"identifier": "W26", "position": [9, 9], "step": 247, "ordinal_position": 248}, {"identifier": "O49", "position": [9, 8], "step": 248, "ordinal_position": 249}, {"identifier": "Q19", "position": [9, 7], "step": 249, "ordinal_position": 250}, {"identifier": "U56", "position": [9, 6], "step": 250, "ordinal_position": 251}, {"identifier": "L73", "position": [9, 5], "step": 251, "ordinal_position": 252}, {"identifier": "N03", "position": [8, 5], "step": 252, "ordinal_position": 253}, {"identifier": "E09", "position": [7, 5], "step": 253, "ordinal_position": 254}, {"identifier": "D03", "position": [6, 5], "step": 254, "ordinal_position": 255}, {"identifier": "G21", "position": [5, 5], "step": 255, "ordinal_position": 256}, {"identifier": "P40", "position": [4, 5], "step": 256, "ordinal_position": 257}, {"identifier": "T43", "position": [3, 5], "step": 257, "ordinal_position": 258}, {"identifier": "Q44", "position": [3, 4], "step": 258, "ordinal_position": 259}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 259, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_015.json"}} {"qa_id": "1c4d21de0b1043b78850b001b4b8327c", "image_id": "L3-MazeLoop-test_11x11_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W18, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "W18", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "J61", "traversal_path": [{"identifier": "W18", "position": [7, 8], "step": 0, "ordinal_position": 1}, {"identifier": "W08", "position": [7, 9], "step": 1, "ordinal_position": 2}, {"identifier": "E65", "position": [8, 9], "step": 2, "ordinal_position": 3}, {"identifier": "J61", "position": [9, 9], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 4, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_016.json"}} {"qa_id": "8fd028b7d63848daac38864e51cedff7", "image_id": "L3-MazeLoop-test_11x11_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U06, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "U06", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q08", "traversal_path": [{"identifier": "U06", "position": [2, 9], "step": 0, "ordinal_position": 1}, {"identifier": "J33", "position": [1, 9], "step": 1, "ordinal_position": 2}, {"identifier": "B76", "position": [1, 8], "step": 2, "ordinal_position": 3}, {"identifier": "B35", "position": [1, 7], "step": 3, "ordinal_position": 4}, {"identifier": "B97", "position": [1, 6], "step": 4, "ordinal_position": 5}, {"identifier": "Q08", "position": [1, 5], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 6, "direction": "left", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_016.json"}} {"qa_id": "3bacfdfb2c1749e6b9dce7938c1d383d", "image_id": "L3-MazeLoop-test_11x11_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W08, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "W08", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Y73", "traversal_path": [{"identifier": "W08", "position": [7, 9], "step": 0, "ordinal_position": 1}, {"identifier": "W18", "position": [7, 8], "step": 1, "ordinal_position": 2}, {"identifier": "U13", "position": [7, 7], "step": 2, "ordinal_position": 3}, {"identifier": "Y73", "position": [6, 7], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 4, "direction": "up", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_016.json"}} {"qa_id": "0be9d4d69bd94033a8948193ea9dd4ca", "image_id": "L3-MazeLoop-test_11x11_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N08, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 9th position in this traversal?", "start_object_id": "N08", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [9], "ordinal_strings": ["9th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "A57", "traversal_path": [{"identifier": "N08", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "J95", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Q38", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "M46", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "V43", "position": [4, 1], "step": 4, "ordinal_position": 5}, {"identifier": "J51", "position": [5, 1], "step": 5, "ordinal_position": 6}, {"identifier": "S57", "position": [6, 1], "step": 6, "ordinal_position": 7}, {"identifier": "T75", "position": [7, 1], "step": 7, "ordinal_position": 8}, {"identifier": "A57", "position": [8, 1], "step": 8, "ordinal_position": 9}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 9, "direction": "up", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_016.json"}} {"qa_id": "37124eb1ef3a4bb8a4c35e66410bb987", "image_id": "L3-MazeLoop-test_11x11_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A93, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "A93", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q15", "traversal_path": [{"identifier": "A93", "position": [9, 5], "step": 0, "ordinal_position": 1}, {"identifier": "A37", "position": [8, 5], "step": 1, "ordinal_position": 2}, {"identifier": "Z10", "position": [7, 5], "step": 2, "ordinal_position": 3}, {"identifier": "F03", "position": [7, 4], "step": 3, "ordinal_position": 4}, {"identifier": "D81", "position": [7, 3], "step": 4, "ordinal_position": 5}, {"identifier": "E13", "position": [6, 3], "step": 5, "ordinal_position": 6}, {"identifier": "Q15", "position": [5, 3], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 7, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_016.json"}} {"qa_id": "728f5d65d79140c482674a9af0ac841e", "image_id": "L3-MazeLoop-test_11x11_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B90, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 83rd position in this traversal?", "start_object_id": "B90", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [83], "ordinal_strings": ["83rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "D81", "traversal_path": [{"identifier": "B90", "position": [9, 3], "step": 0, "ordinal_position": 1}, {"identifier": "S87", "position": [8, 3], "step": 1, "ordinal_position": 2}, {"identifier": "D81", "position": [7, 3], "step": 2, "ordinal_position": 3}, {"identifier": "E13", "position": [6, 3], "step": 3, "ordinal_position": 4}, {"identifier": "Q15", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "T55", "position": [5, 4], "step": 5, "ordinal_position": 6}, {"identifier": "Z62", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "F89", "position": [4, 5], "step": 7, "ordinal_position": 8}, {"identifier": "M65", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "D20", "position": [3, 4], "step": 9, "ordinal_position": 10}, {"identifier": "M96", "position": [3, 3], "step": 10, "ordinal_position": 11}, {"identifier": "A25", "position": [3, 2], "step": 11, "ordinal_position": 12}, {"identifier": "M46", "position": [3, 1], "step": 12, "ordinal_position": 13}, {"identifier": "V43", "position": [4, 1], "step": 13, "ordinal_position": 14}, {"identifier": "J51", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "S57", "position": [6, 1], "step": 15, "ordinal_position": 16}, {"identifier": "T75", "position": [7, 1], "step": 16, "ordinal_position": 17}, {"identifier": "A57", "position": [8, 1], "step": 17, "ordinal_position": 18}, {"identifier": "P12", "position": [9, 1], "step": 18, "ordinal_position": 19}, {"identifier": "S23", "position": [9, 2], "step": 19, "ordinal_position": 20}, {"identifier": "B90", "position": [9, 3], "step": 20, "ordinal_position": 21}, {"identifier": "S87", "position": [8, 3], "step": 21, "ordinal_position": 22}, {"identifier": "D81", "position": [7, 3], "step": 22, "ordinal_position": 23}, {"identifier": "E13", "position": [6, 3], "step": 23, "ordinal_position": 24}, {"identifier": "Q15", "position": [5, 3], "step": 24, "ordinal_position": 25}, {"identifier": "T55", "position": [5, 4], "step": 25, "ordinal_position": 26}, {"identifier": "Z62", "position": [5, 5], "step": 26, "ordinal_position": 27}, {"identifier": "F89", "position": [4, 5], "step": 27, "ordinal_position": 28}, {"identifier": "M65", "position": [3, 5], "step": 28, "ordinal_position": 29}, {"identifier": "D20", "position": [3, 4], "step": 29, "ordinal_position": 30}, {"identifier": "M96", "position": [3, 3], "step": 30, "ordinal_position": 31}, {"identifier": "A25", "position": [3, 2], "step": 31, "ordinal_position": 32}, {"identifier": "M46", "position": [3, 1], "step": 32, "ordinal_position": 33}, {"identifier": "V43", "position": [4, 1], "step": 33, "ordinal_position": 34}, {"identifier": "J51", "position": [5, 1], "step": 34, "ordinal_position": 35}, {"identifier": "S57", "position": [6, 1], "step": 35, "ordinal_position": 36}, {"identifier": "T75", "position": [7, 1], "step": 36, "ordinal_position": 37}, {"identifier": "A57", "position": [8, 1], "step": 37, "ordinal_position": 38}, {"identifier": "P12", "position": [9, 1], "step": 38, "ordinal_position": 39}, {"identifier": "S23", "position": [9, 2], "step": 39, "ordinal_position": 40}, {"identifier": "B90", "position": [9, 3], "step": 40, "ordinal_position": 41}, {"identifier": "S87", "position": [8, 3], "step": 41, "ordinal_position": 42}, {"identifier": "D81", "position": [7, 3], "step": 42, "ordinal_position": 43}, {"identifier": "E13", "position": [6, 3], "step": 43, "ordinal_position": 44}, {"identifier": "Q15", "position": [5, 3], "step": 44, "ordinal_position": 45}, {"identifier": "T55", "position": [5, 4], "step": 45, "ordinal_position": 46}, {"identifier": "Z62", "position": [5, 5], "step": 46, "ordinal_position": 47}, {"identifier": "F89", "position": [4, 5], "step": 47, "ordinal_position": 48}, {"identifier": "M65", "position": [3, 5], "step": 48, "ordinal_position": 49}, {"identifier": "D20", "position": [3, 4], "step": 49, "ordinal_position": 50}, {"identifier": "M96", "position": [3, 3], "step": 50, "ordinal_position": 51}, {"identifier": "A25", "position": [3, 2], "step": 51, "ordinal_position": 52}, {"identifier": "M46", "position": [3, 1], "step": 52, "ordinal_position": 53}, {"identifier": "V43", "position": [4, 1], "step": 53, "ordinal_position": 54}, {"identifier": "J51", "position": [5, 1], "step": 54, "ordinal_position": 55}, {"identifier": "S57", "position": [6, 1], "step": 55, "ordinal_position": 56}, {"identifier": "T75", "position": [7, 1], "step": 56, "ordinal_position": 57}, {"identifier": "A57", "position": [8, 1], "step": 57, "ordinal_position": 58}, {"identifier": "P12", "position": [9, 1], "step": 58, "ordinal_position": 59}, {"identifier": "S23", "position": [9, 2], "step": 59, "ordinal_position": 60}, {"identifier": "B90", "position": [9, 3], "step": 60, "ordinal_position": 61}, {"identifier": "S87", "position": [8, 3], "step": 61, "ordinal_position": 62}, {"identifier": "D81", "position": [7, 3], "step": 62, "ordinal_position": 63}, {"identifier": "E13", "position": [6, 3], "step": 63, "ordinal_position": 64}, {"identifier": "Q15", "position": [5, 3], "step": 64, "ordinal_position": 65}, {"identifier": "T55", "position": [5, 4], "step": 65, "ordinal_position": 66}, {"identifier": "Z62", "position": [5, 5], "step": 66, "ordinal_position": 67}, {"identifier": "F89", "position": [4, 5], "step": 67, "ordinal_position": 68}, {"identifier": "M65", "position": [3, 5], "step": 68, "ordinal_position": 69}, {"identifier": "D20", "position": [3, 4], "step": 69, "ordinal_position": 70}, {"identifier": "M96", "position": [3, 3], "step": 70, "ordinal_position": 71}, {"identifier": "A25", "position": [3, 2], "step": 71, "ordinal_position": 72}, {"identifier": "M46", "position": [3, 1], "step": 72, "ordinal_position": 73}, {"identifier": "V43", "position": [4, 1], "step": 73, "ordinal_position": 74}, {"identifier": "J51", "position": [5, 1], "step": 74, "ordinal_position": 75}, {"identifier": "S57", "position": [6, 1], "step": 75, "ordinal_position": 76}, {"identifier": "T75", "position": [7, 1], "step": 76, "ordinal_position": 77}, {"identifier": "A57", "position": [8, 1], "step": 77, "ordinal_position": 78}, {"identifier": "P12", "position": [9, 1], "step": 78, "ordinal_position": 79}, {"identifier": "S23", "position": [9, 2], "step": 79, "ordinal_position": 80}, {"identifier": "B90", "position": [9, 3], "step": 80, "ordinal_position": 81}, {"identifier": "S87", "position": [8, 3], "step": 81, "ordinal_position": 82}, {"identifier": "D81", "position": [7, 3], "step": 82, "ordinal_position": 83}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 83, "direction": "left", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_016.json"}} {"qa_id": "8ac253e4db7d4f1c881bb2816ed655a2", "image_id": "L3-MazeLoop-test_11x11_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V43, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 22nd position in this traversal?", "start_object_id": "V43", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [22], "ordinal_strings": ["22nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "W08", "traversal_path": [{"identifier": "V43", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "M46", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Q38", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "J95", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "N08", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "G72", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "U93", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "Q08", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "B97", "position": [1, 6], "step": 8, "ordinal_position": 9}, {"identifier": "B35", "position": [1, 7], "step": 9, "ordinal_position": 10}, {"identifier": "B76", "position": [1, 8], "step": 10, "ordinal_position": 11}, {"identifier": "J33", "position": [1, 9], "step": 11, "ordinal_position": 12}, {"identifier": "U06", "position": [2, 9], "step": 12, "ordinal_position": 13}, {"identifier": "N10", "position": [3, 9], "step": 13, "ordinal_position": 14}, {"identifier": "E97", "position": [4, 9], "step": 14, "ordinal_position": 15}, {"identifier": "C90", "position": [5, 9], "step": 15, "ordinal_position": 16}, {"identifier": "G32", "position": [5, 8], "step": 16, "ordinal_position": 17}, {"identifier": "U44", "position": [5, 7], "step": 17, "ordinal_position": 18}, {"identifier": "Y73", "position": [6, 7], "step": 18, "ordinal_position": 19}, {"identifier": "U13", "position": [7, 7], "step": 19, "ordinal_position": 20}, {"identifier": "W18", "position": [7, 8], "step": 20, "ordinal_position": 21}, {"identifier": "W08", "position": [7, 9], "step": 21, "ordinal_position": 22}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 22, "direction": "left", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_016.json"}} {"qa_id": "d45877c6c2794b928204066d06ed228e", "image_id": "L3-MazeLoop-test_11x11_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A53, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 24th position in this traversal?", "start_object_id": "A53", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [24], "ordinal_strings": ["24th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "M46", "traversal_path": [{"identifier": "A53", "position": [9, 8], "step": 0, "ordinal_position": 1}, {"identifier": "J61", "position": [9, 9], "step": 1, "ordinal_position": 2}, {"identifier": "E65", "position": [8, 9], "step": 2, "ordinal_position": 3}, {"identifier": "W08", "position": [7, 9], "step": 3, "ordinal_position": 4}, {"identifier": "W18", "position": [7, 8], "step": 4, "ordinal_position": 5}, {"identifier": "U13", "position": [7, 7], "step": 5, "ordinal_position": 6}, {"identifier": "Y73", "position": [6, 7], "step": 6, "ordinal_position": 7}, {"identifier": "U44", "position": [5, 7], "step": 7, "ordinal_position": 8}, {"identifier": "G32", "position": [5, 8], "step": 8, "ordinal_position": 9}, {"identifier": "C90", "position": [5, 9], "step": 9, "ordinal_position": 10}, {"identifier": "E97", "position": [4, 9], "step": 10, "ordinal_position": 11}, {"identifier": "N10", "position": [3, 9], "step": 11, "ordinal_position": 12}, {"identifier": "U06", "position": [2, 9], "step": 12, "ordinal_position": 13}, {"identifier": "J33", "position": [1, 9], "step": 13, "ordinal_position": 14}, {"identifier": "B76", "position": [1, 8], "step": 14, "ordinal_position": 15}, {"identifier": "B35", "position": [1, 7], "step": 15, "ordinal_position": 16}, {"identifier": "B97", "position": [1, 6], "step": 16, "ordinal_position": 17}, {"identifier": "Q08", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "U93", "position": [1, 4], "step": 18, "ordinal_position": 19}, {"identifier": "G72", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "N08", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "J95", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Q38", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "M46", "position": [3, 1], "step": 23, "ordinal_position": 24}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 24, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_016.json"}} {"qa_id": "72ed1aadf85c4a6ca6bc80be14126993", "image_id": "L3-MazeLoop-test_11x11_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B90, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 90th position in this traversal?", "start_object_id": "B90", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [90], "ordinal_strings": ["90th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "T55", "traversal_path": [{"identifier": "B90", "position": [9, 3], "step": 0, "ordinal_position": 1}, {"identifier": "S87", "position": [8, 3], "step": 1, "ordinal_position": 2}, {"identifier": "D81", "position": [7, 3], "step": 2, "ordinal_position": 3}, {"identifier": "E13", "position": [6, 3], "step": 3, "ordinal_position": 4}, {"identifier": "Q15", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "T55", "position": [5, 4], "step": 5, "ordinal_position": 6}, {"identifier": "Z62", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "F89", "position": [4, 5], "step": 7, "ordinal_position": 8}, {"identifier": "M65", "position": [3, 5], "step": 8, "ordinal_position": 9}, {"identifier": "S60", "position": [3, 6], "step": 9, "ordinal_position": 10}, {"identifier": "T45", "position": [3, 7], "step": 10, "ordinal_position": 11}, {"identifier": "P28", "position": [3, 8], "step": 11, "ordinal_position": 12}, {"identifier": "N10", "position": [3, 9], "step": 12, "ordinal_position": 13}, {"identifier": "E97", "position": [4, 9], "step": 13, "ordinal_position": 14}, {"identifier": "C90", "position": [5, 9], "step": 14, "ordinal_position": 15}, {"identifier": "G32", "position": [5, 8], "step": 15, "ordinal_position": 16}, {"identifier": "U44", "position": [5, 7], "step": 16, "ordinal_position": 17}, {"identifier": "Y73", "position": [6, 7], "step": 17, "ordinal_position": 18}, {"identifier": "U13", "position": [7, 7], "step": 18, "ordinal_position": 19}, {"identifier": "W18", "position": [7, 8], "step": 19, "ordinal_position": 20}, {"identifier": "W08", "position": [7, 9], "step": 20, "ordinal_position": 21}, {"identifier": "E65", "position": [8, 9], "step": 21, "ordinal_position": 22}, {"identifier": "J61", "position": [9, 9], "step": 22, "ordinal_position": 23}, {"identifier": "A53", "position": [9, 8], "step": 23, "ordinal_position": 24}, {"identifier": "Q63", "position": [9, 7], "step": 24, "ordinal_position": 25}, {"identifier": "C69", "position": [9, 6], "step": 25, "ordinal_position": 26}, {"identifier": "A93", "position": [9, 5], "step": 26, "ordinal_position": 27}, {"identifier": "A37", "position": [8, 5], "step": 27, "ordinal_position": 28}, {"identifier": "Z10", "position": [7, 5], "step": 28, "ordinal_position": 29}, {"identifier": "F03", "position": [7, 4], "step": 29, "ordinal_position": 30}, {"identifier": "D81", "position": [7, 3], "step": 30, "ordinal_position": 31}, {"identifier": "E13", "position": [6, 3], "step": 31, "ordinal_position": 32}, {"identifier": "Q15", "position": [5, 3], "step": 32, "ordinal_position": 33}, {"identifier": "T55", "position": [5, 4], "step": 33, "ordinal_position": 34}, {"identifier": "Z62", "position": [5, 5], "step": 34, "ordinal_position": 35}, {"identifier": "F89", "position": [4, 5], "step": 35, "ordinal_position": 36}, {"identifier": "M65", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "S60", "position": [3, 6], "step": 37, "ordinal_position": 38}, {"identifier": "T45", "position": [3, 7], "step": 38, "ordinal_position": 39}, {"identifier": "P28", "position": [3, 8], "step": 39, "ordinal_position": 40}, {"identifier": "N10", "position": [3, 9], "step": 40, "ordinal_position": 41}, {"identifier": "E97", "position": [4, 9], "step": 41, "ordinal_position": 42}, {"identifier": "C90", "position": [5, 9], "step": 42, "ordinal_position": 43}, {"identifier": "G32", "position": [5, 8], "step": 43, "ordinal_position": 44}, {"identifier": "U44", "position": [5, 7], "step": 44, "ordinal_position": 45}, {"identifier": "Y73", "position": [6, 7], "step": 45, "ordinal_position": 46}, {"identifier": "U13", "position": [7, 7], "step": 46, "ordinal_position": 47}, {"identifier": "W18", "position": [7, 8], "step": 47, "ordinal_position": 48}, {"identifier": "W08", "position": [7, 9], "step": 48, "ordinal_position": 49}, {"identifier": "E65", "position": [8, 9], "step": 49, "ordinal_position": 50}, {"identifier": "J61", "position": [9, 9], "step": 50, "ordinal_position": 51}, {"identifier": "A53", "position": [9, 8], "step": 51, "ordinal_position": 52}, {"identifier": "Q63", "position": [9, 7], "step": 52, "ordinal_position": 53}, {"identifier": "C69", "position": [9, 6], "step": 53, "ordinal_position": 54}, {"identifier": "A93", "position": [9, 5], "step": 54, "ordinal_position": 55}, {"identifier": "A37", "position": [8, 5], "step": 55, "ordinal_position": 56}, {"identifier": "Z10", "position": [7, 5], "step": 56, "ordinal_position": 57}, {"identifier": "F03", "position": [7, 4], "step": 57, "ordinal_position": 58}, {"identifier": "D81", "position": [7, 3], "step": 58, "ordinal_position": 59}, {"identifier": "E13", "position": [6, 3], "step": 59, "ordinal_position": 60}, {"identifier": "Q15", "position": [5, 3], "step": 60, "ordinal_position": 61}, {"identifier": "T55", "position": [5, 4], "step": 61, "ordinal_position": 62}, {"identifier": "Z62", "position": [5, 5], "step": 62, "ordinal_position": 63}, {"identifier": "F89", "position": [4, 5], "step": 63, "ordinal_position": 64}, {"identifier": "M65", "position": [3, 5], "step": 64, "ordinal_position": 65}, {"identifier": "S60", "position": [3, 6], "step": 65, "ordinal_position": 66}, {"identifier": "T45", "position": [3, 7], "step": 66, "ordinal_position": 67}, {"identifier": "P28", "position": [3, 8], "step": 67, "ordinal_position": 68}, {"identifier": "N10", "position": [3, 9], "step": 68, "ordinal_position": 69}, {"identifier": "E97", "position": [4, 9], "step": 69, "ordinal_position": 70}, {"identifier": "C90", "position": [5, 9], "step": 70, "ordinal_position": 71}, {"identifier": "G32", "position": [5, 8], "step": 71, "ordinal_position": 72}, {"identifier": "U44", "position": [5, 7], "step": 72, "ordinal_position": 73}, {"identifier": "Y73", "position": [6, 7], "step": 73, "ordinal_position": 74}, {"identifier": "U13", "position": [7, 7], "step": 74, "ordinal_position": 75}, {"identifier": "W18", "position": [7, 8], "step": 75, "ordinal_position": 76}, {"identifier": "W08", "position": [7, 9], "step": 76, "ordinal_position": 77}, {"identifier": "E65", "position": [8, 9], "step": 77, "ordinal_position": 78}, {"identifier": "J61", "position": [9, 9], "step": 78, "ordinal_position": 79}, {"identifier": "A53", "position": [9, 8], "step": 79, "ordinal_position": 80}, {"identifier": "Q63", "position": [9, 7], "step": 80, "ordinal_position": 81}, {"identifier": "C69", "position": [9, 6], "step": 81, "ordinal_position": 82}, {"identifier": "A93", "position": [9, 5], "step": 82, "ordinal_position": 83}, {"identifier": "A37", "position": [8, 5], "step": 83, "ordinal_position": 84}, {"identifier": "Z10", "position": [7, 5], "step": 84, "ordinal_position": 85}, {"identifier": "F03", "position": [7, 4], "step": 85, "ordinal_position": 86}, {"identifier": "D81", "position": [7, 3], "step": 86, "ordinal_position": 87}, {"identifier": "E13", "position": [6, 3], "step": 87, "ordinal_position": 88}, {"identifier": "Q15", "position": [5, 3], "step": 88, "ordinal_position": 89}, {"identifier": "T55", "position": [5, 4], "step": 89, "ordinal_position": 90}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 90, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_016.json"}} {"qa_id": "7c740971559e4fa1bd72b7795758038c", "image_id": "L3-MazeLoop-test_11x11_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E65, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 17th position in this traversal?", "start_object_id": "E65", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [17], "ordinal_strings": ["17th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "S60", "traversal_path": [{"identifier": "E65", "position": [8, 9], "step": 0, "ordinal_position": 1}, {"identifier": "J61", "position": [9, 9], "step": 1, "ordinal_position": 2}, {"identifier": "A53", "position": [9, 8], "step": 2, "ordinal_position": 3}, {"identifier": "Q63", "position": [9, 7], "step": 3, "ordinal_position": 4}, {"identifier": "C69", "position": [9, 6], "step": 4, "ordinal_position": 5}, {"identifier": "A93", "position": [9, 5], "step": 5, "ordinal_position": 6}, {"identifier": "A37", "position": [8, 5], "step": 6, "ordinal_position": 7}, {"identifier": "Z10", "position": [7, 5], "step": 7, "ordinal_position": 8}, {"identifier": "F03", "position": [7, 4], "step": 8, "ordinal_position": 9}, {"identifier": "D81", "position": [7, 3], "step": 9, "ordinal_position": 10}, {"identifier": "E13", "position": [6, 3], "step": 10, "ordinal_position": 11}, {"identifier": "Q15", "position": [5, 3], "step": 11, "ordinal_position": 12}, {"identifier": "T55", "position": [5, 4], "step": 12, "ordinal_position": 13}, {"identifier": "Z62", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "F89", "position": [4, 5], "step": 14, "ordinal_position": 15}, {"identifier": "M65", "position": [3, 5], "step": 15, "ordinal_position": 16}, {"identifier": "S60", "position": [3, 6], "step": 16, "ordinal_position": 17}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 17, "direction": "right", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_016.json"}} {"qa_id": "b7a34ddfe05e4752b92ed1f28fb40ac6", "image_id": "L3-MazeLoop-test_11x11_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T75, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 120th position in this traversal?", "start_object_id": "T75", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [120], "ordinal_strings": ["120th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "E13", "traversal_path": [{"identifier": "T75", "position": [7, 1], "step": 0, "ordinal_position": 1}, {"identifier": "S57", "position": [6, 1], "step": 1, "ordinal_position": 2}, {"identifier": "J51", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "V43", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "M46", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Q38", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "J95", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "N08", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "G72", "position": [1, 3], "step": 8, "ordinal_position": 9}, {"identifier": "U93", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "Q08", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "B97", "position": [1, 6], "step": 11, "ordinal_position": 12}, {"identifier": "B35", "position": [1, 7], "step": 12, "ordinal_position": 13}, {"identifier": "B76", "position": [1, 8], "step": 13, "ordinal_position": 14}, {"identifier": "J33", "position": [1, 9], "step": 14, "ordinal_position": 15}, {"identifier": "U06", "position": [2, 9], "step": 15, "ordinal_position": 16}, {"identifier": "N10", "position": [3, 9], "step": 16, "ordinal_position": 17}, {"identifier": "E97", "position": [4, 9], "step": 17, "ordinal_position": 18}, {"identifier": "C90", "position": [5, 9], "step": 18, "ordinal_position": 19}, {"identifier": "G32", "position": [5, 8], "step": 19, "ordinal_position": 20}, {"identifier": "U44", "position": [5, 7], "step": 20, "ordinal_position": 21}, {"identifier": "Y73", "position": [6, 7], "step": 21, "ordinal_position": 22}, {"identifier": "U13", "position": [7, 7], "step": 22, "ordinal_position": 23}, {"identifier": "W18", "position": [7, 8], "step": 23, "ordinal_position": 24}, {"identifier": "W08", "position": [7, 9], "step": 24, "ordinal_position": 25}, {"identifier": "E65", "position": [8, 9], "step": 25, "ordinal_position": 26}, {"identifier": "J61", "position": [9, 9], "step": 26, "ordinal_position": 27}, {"identifier": "A53", "position": [9, 8], "step": 27, "ordinal_position": 28}, {"identifier": "Q63", "position": [9, 7], "step": 28, "ordinal_position": 29}, {"identifier": "C69", "position": [9, 6], "step": 29, "ordinal_position": 30}, {"identifier": "A93", "position": [9, 5], "step": 30, "ordinal_position": 31}, {"identifier": "A37", "position": [8, 5], "step": 31, "ordinal_position": 32}, {"identifier": "Z10", "position": [7, 5], "step": 32, "ordinal_position": 33}, {"identifier": "F03", "position": [7, 4], "step": 33, "ordinal_position": 34}, {"identifier": "D81", "position": [7, 3], "step": 34, "ordinal_position": 35}, {"identifier": "E13", "position": [6, 3], "step": 35, "ordinal_position": 36}, {"identifier": "Q15", "position": [5, 3], "step": 36, "ordinal_position": 37}, {"identifier": "T55", "position": [5, 4], "step": 37, "ordinal_position": 38}, {"identifier": "Z62", "position": [5, 5], "step": 38, "ordinal_position": 39}, {"identifier": "F89", "position": [4, 5], "step": 39, "ordinal_position": 40}, {"identifier": "M65", "position": [3, 5], "step": 40, "ordinal_position": 41}, {"identifier": "S60", "position": [3, 6], "step": 41, "ordinal_position": 42}, {"identifier": "T45", "position": [3, 7], "step": 42, "ordinal_position": 43}, {"identifier": "P28", "position": [3, 8], "step": 43, "ordinal_position": 44}, {"identifier": "N10", "position": [3, 9], "step": 44, "ordinal_position": 45}, {"identifier": "E97", "position": [4, 9], "step": 45, "ordinal_position": 46}, {"identifier": "C90", "position": [5, 9], "step": 46, "ordinal_position": 47}, {"identifier": "G32", "position": [5, 8], "step": 47, "ordinal_position": 48}, {"identifier": "U44", "position": [5, 7], "step": 48, "ordinal_position": 49}, {"identifier": "Y73", "position": [6, 7], "step": 49, "ordinal_position": 50}, {"identifier": "U13", "position": [7, 7], "step": 50, "ordinal_position": 51}, {"identifier": "W18", "position": [7, 8], "step": 51, "ordinal_position": 52}, {"identifier": "W08", "position": [7, 9], "step": 52, "ordinal_position": 53}, {"identifier": "E65", "position": [8, 9], "step": 53, "ordinal_position": 54}, {"identifier": "J61", "position": [9, 9], "step": 54, "ordinal_position": 55}, {"identifier": "A53", "position": [9, 8], "step": 55, "ordinal_position": 56}, {"identifier": "Q63", "position": [9, 7], "step": 56, "ordinal_position": 57}, {"identifier": "C69", "position": [9, 6], "step": 57, "ordinal_position": 58}, {"identifier": "A93", "position": [9, 5], "step": 58, "ordinal_position": 59}, {"identifier": "A37", "position": [8, 5], "step": 59, "ordinal_position": 60}, {"identifier": "Z10", "position": [7, 5], "step": 60, "ordinal_position": 61}, {"identifier": "F03", "position": [7, 4], "step": 61, "ordinal_position": 62}, {"identifier": "D81", "position": [7, 3], "step": 62, "ordinal_position": 63}, {"identifier": "E13", "position": [6, 3], "step": 63, "ordinal_position": 64}, {"identifier": "Q15", "position": [5, 3], "step": 64, "ordinal_position": 65}, {"identifier": "T55", "position": [5, 4], "step": 65, "ordinal_position": 66}, {"identifier": "Z62", "position": [5, 5], "step": 66, "ordinal_position": 67}, {"identifier": "F89", "position": [4, 5], "step": 67, "ordinal_position": 68}, {"identifier": "M65", "position": [3, 5], "step": 68, "ordinal_position": 69}, {"identifier": "S60", "position": [3, 6], "step": 69, "ordinal_position": 70}, {"identifier": "T45", "position": [3, 7], "step": 70, "ordinal_position": 71}, {"identifier": "P28", "position": [3, 8], "step": 71, "ordinal_position": 72}, {"identifier": "N10", "position": [3, 9], "step": 72, "ordinal_position": 73}, {"identifier": "E97", "position": [4, 9], "step": 73, "ordinal_position": 74}, {"identifier": "C90", "position": [5, 9], "step": 74, "ordinal_position": 75}, {"identifier": "G32", "position": [5, 8], "step": 75, "ordinal_position": 76}, {"identifier": "U44", "position": [5, 7], "step": 76, "ordinal_position": 77}, {"identifier": "Y73", "position": [6, 7], "step": 77, "ordinal_position": 78}, {"identifier": "U13", "position": [7, 7], "step": 78, "ordinal_position": 79}, {"identifier": "W18", "position": [7, 8], "step": 79, "ordinal_position": 80}, {"identifier": "W08", "position": [7, 9], "step": 80, "ordinal_position": 81}, {"identifier": "E65", "position": [8, 9], "step": 81, "ordinal_position": 82}, {"identifier": "J61", "position": [9, 9], "step": 82, "ordinal_position": 83}, {"identifier": "A53", "position": [9, 8], "step": 83, "ordinal_position": 84}, {"identifier": "Q63", "position": [9, 7], "step": 84, "ordinal_position": 85}, {"identifier": "C69", "position": [9, 6], "step": 85, "ordinal_position": 86}, {"identifier": "A93", "position": [9, 5], "step": 86, "ordinal_position": 87}, {"identifier": "A37", "position": [8, 5], "step": 87, "ordinal_position": 88}, {"identifier": "Z10", "position": [7, 5], "step": 88, "ordinal_position": 89}, {"identifier": "F03", "position": [7, 4], "step": 89, "ordinal_position": 90}, {"identifier": "D81", "position": [7, 3], "step": 90, "ordinal_position": 91}, {"identifier": "E13", "position": [6, 3], "step": 91, "ordinal_position": 92}, {"identifier": "Q15", "position": [5, 3], "step": 92, "ordinal_position": 93}, {"identifier": "T55", "position": [5, 4], "step": 93, "ordinal_position": 94}, {"identifier": "Z62", "position": [5, 5], "step": 94, "ordinal_position": 95}, {"identifier": "F89", "position": [4, 5], "step": 95, "ordinal_position": 96}, {"identifier": "M65", "position": [3, 5], "step": 96, "ordinal_position": 97}, {"identifier": "S60", "position": [3, 6], "step": 97, "ordinal_position": 98}, {"identifier": "T45", "position": [3, 7], "step": 98, "ordinal_position": 99}, {"identifier": "P28", "position": [3, 8], "step": 99, "ordinal_position": 100}, {"identifier": "N10", "position": [3, 9], "step": 100, "ordinal_position": 101}, {"identifier": "E97", "position": [4, 9], "step": 101, "ordinal_position": 102}, {"identifier": "C90", "position": [5, 9], "step": 102, "ordinal_position": 103}, {"identifier": "G32", "position": [5, 8], "step": 103, "ordinal_position": 104}, {"identifier": "U44", "position": [5, 7], "step": 104, "ordinal_position": 105}, {"identifier": "Y73", "position": [6, 7], "step": 105, "ordinal_position": 106}, {"identifier": "U13", "position": [7, 7], "step": 106, "ordinal_position": 107}, {"identifier": "W18", "position": [7, 8], "step": 107, "ordinal_position": 108}, {"identifier": "W08", "position": [7, 9], "step": 108, "ordinal_position": 109}, {"identifier": "E65", "position": [8, 9], "step": 109, "ordinal_position": 110}, {"identifier": "J61", "position": [9, 9], "step": 110, "ordinal_position": 111}, {"identifier": "A53", "position": [9, 8], "step": 111, "ordinal_position": 112}, {"identifier": "Q63", "position": [9, 7], "step": 112, "ordinal_position": 113}, {"identifier": "C69", "position": [9, 6], "step": 113, "ordinal_position": 114}, {"identifier": "A93", "position": [9, 5], "step": 114, "ordinal_position": 115}, {"identifier": "A37", "position": [8, 5], "step": 115, "ordinal_position": 116}, {"identifier": "Z10", "position": [7, 5], "step": 116, "ordinal_position": 117}, {"identifier": "F03", "position": [7, 4], "step": 117, "ordinal_position": 118}, {"identifier": "D81", "position": [7, 3], "step": 118, "ordinal_position": 119}, {"identifier": "E13", "position": [6, 3], "step": 119, "ordinal_position": 120}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 120, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_016.json"}} {"qa_id": "de4050c1cc40451a8a72dbc3c83943b3", "image_id": "L3-MazeLoop-test_11x11_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E13, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 168th position in this traversal?", "start_object_id": "E13", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [168], "ordinal_strings": ["168th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U44", "traversal_path": [{"identifier": "E13", "position": [6, 3], "step": 0, "ordinal_position": 1}, {"identifier": "D81", "position": [7, 3], "step": 1, "ordinal_position": 2}, {"identifier": "S87", "position": [8, 3], "step": 2, "ordinal_position": 3}, {"identifier": "B90", "position": [9, 3], "step": 3, "ordinal_position": 4}, {"identifier": "S23", "position": [9, 2], "step": 4, "ordinal_position": 5}, {"identifier": "P12", "position": [9, 1], "step": 5, "ordinal_position": 6}, {"identifier": "A57", "position": [8, 1], "step": 6, "ordinal_position": 7}, {"identifier": "T75", "position": [7, 1], "step": 7, "ordinal_position": 8}, {"identifier": "S57", "position": [6, 1], "step": 8, "ordinal_position": 9}, {"identifier": "J51", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "V43", "position": [4, 1], "step": 10, "ordinal_position": 11}, {"identifier": "M46", "position": [3, 1], "step": 11, "ordinal_position": 12}, {"identifier": "Q38", "position": [2, 1], "step": 12, "ordinal_position": 13}, {"identifier": "J95", "position": [1, 1], "step": 13, "ordinal_position": 14}, {"identifier": "N08", "position": [1, 2], "step": 14, "ordinal_position": 15}, {"identifier": "G72", "position": [1, 3], "step": 15, "ordinal_position": 16}, {"identifier": "U93", "position": [1, 4], "step": 16, "ordinal_position": 17}, {"identifier": "Q08", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "B97", "position": [1, 6], "step": 18, "ordinal_position": 19}, {"identifier": "B35", "position": [1, 7], "step": 19, "ordinal_position": 20}, {"identifier": "B76", "position": [1, 8], "step": 20, "ordinal_position": 21}, {"identifier": "J33", "position": [1, 9], "step": 21, "ordinal_position": 22}, {"identifier": "U06", "position": [2, 9], "step": 22, "ordinal_position": 23}, {"identifier": "N10", "position": [3, 9], "step": 23, "ordinal_position": 24}, {"identifier": "E97", "position": [4, 9], "step": 24, "ordinal_position": 25}, {"identifier": "C90", "position": [5, 9], "step": 25, "ordinal_position": 26}, {"identifier": "G32", "position": [5, 8], "step": 26, "ordinal_position": 27}, {"identifier": "U44", "position": [5, 7], "step": 27, "ordinal_position": 28}, {"identifier": "Y73", "position": [6, 7], "step": 28, "ordinal_position": 29}, {"identifier": "U13", "position": [7, 7], "step": 29, "ordinal_position": 30}, {"identifier": "W18", "position": [7, 8], "step": 30, "ordinal_position": 31}, {"identifier": "W08", "position": [7, 9], "step": 31, "ordinal_position": 32}, {"identifier": "E65", "position": [8, 9], "step": 32, "ordinal_position": 33}, {"identifier": "J61", "position": [9, 9], "step": 33, "ordinal_position": 34}, {"identifier": "A53", "position": [9, 8], "step": 34, "ordinal_position": 35}, {"identifier": "Q63", "position": [9, 7], "step": 35, "ordinal_position": 36}, {"identifier": "C69", "position": [9, 6], "step": 36, "ordinal_position": 37}, {"identifier": "A93", "position": [9, 5], "step": 37, "ordinal_position": 38}, {"identifier": "A37", "position": [8, 5], "step": 38, "ordinal_position": 39}, {"identifier": "Z10", "position": [7, 5], "step": 39, "ordinal_position": 40}, {"identifier": "F03", "position": [7, 4], "step": 40, "ordinal_position": 41}, {"identifier": "D81", "position": [7, 3], "step": 41, "ordinal_position": 42}, {"identifier": "E13", "position": [6, 3], "step": 42, "ordinal_position": 43}, {"identifier": "Q15", "position": [5, 3], "step": 43, "ordinal_position": 44}, {"identifier": "T55", "position": [5, 4], "step": 44, "ordinal_position": 45}, {"identifier": "Z62", "position": [5, 5], "step": 45, "ordinal_position": 46}, {"identifier": "F89", "position": [4, 5], "step": 46, "ordinal_position": 47}, {"identifier": "M65", "position": [3, 5], "step": 47, "ordinal_position": 48}, {"identifier": "S60", "position": [3, 6], "step": 48, "ordinal_position": 49}, {"identifier": "T45", "position": [3, 7], "step": 49, "ordinal_position": 50}, {"identifier": "P28", "position": [3, 8], "step": 50, "ordinal_position": 51}, {"identifier": "N10", "position": [3, 9], "step": 51, "ordinal_position": 52}, {"identifier": "E97", "position": [4, 9], "step": 52, "ordinal_position": 53}, {"identifier": "C90", "position": [5, 9], "step": 53, "ordinal_position": 54}, {"identifier": "G32", "position": [5, 8], "step": 54, "ordinal_position": 55}, {"identifier": "U44", "position": [5, 7], "step": 55, "ordinal_position": 56}, {"identifier": "Y73", "position": [6, 7], "step": 56, "ordinal_position": 57}, {"identifier": "U13", "position": [7, 7], "step": 57, "ordinal_position": 58}, {"identifier": "W18", "position": [7, 8], "step": 58, "ordinal_position": 59}, {"identifier": "W08", "position": [7, 9], "step": 59, "ordinal_position": 60}, {"identifier": "E65", "position": [8, 9], "step": 60, "ordinal_position": 61}, {"identifier": "J61", "position": [9, 9], "step": 61, "ordinal_position": 62}, {"identifier": "A53", "position": [9, 8], "step": 62, "ordinal_position": 63}, {"identifier": "Q63", "position": [9, 7], "step": 63, "ordinal_position": 64}, {"identifier": "C69", "position": [9, 6], "step": 64, "ordinal_position": 65}, {"identifier": "A93", "position": [9, 5], "step": 65, "ordinal_position": 66}, {"identifier": "A37", "position": [8, 5], "step": 66, "ordinal_position": 67}, {"identifier": "Z10", "position": [7, 5], "step": 67, "ordinal_position": 68}, {"identifier": "F03", "position": [7, 4], "step": 68, "ordinal_position": 69}, {"identifier": "D81", "position": [7, 3], "step": 69, "ordinal_position": 70}, {"identifier": "E13", "position": [6, 3], "step": 70, "ordinal_position": 71}, {"identifier": "Q15", "position": [5, 3], "step": 71, "ordinal_position": 72}, {"identifier": "T55", "position": [5, 4], "step": 72, "ordinal_position": 73}, {"identifier": "Z62", "position": [5, 5], "step": 73, "ordinal_position": 74}, {"identifier": "F89", "position": [4, 5], "step": 74, "ordinal_position": 75}, {"identifier": "M65", "position": [3, 5], "step": 75, "ordinal_position": 76}, {"identifier": "S60", "position": [3, 6], "step": 76, "ordinal_position": 77}, {"identifier": "T45", "position": [3, 7], "step": 77, "ordinal_position": 78}, {"identifier": "P28", "position": [3, 8], "step": 78, "ordinal_position": 79}, {"identifier": "N10", "position": [3, 9], "step": 79, "ordinal_position": 80}, {"identifier": "E97", "position": [4, 9], "step": 80, "ordinal_position": 81}, {"identifier": "C90", "position": [5, 9], "step": 81, "ordinal_position": 82}, {"identifier": "G32", "position": [5, 8], "step": 82, "ordinal_position": 83}, {"identifier": "U44", "position": [5, 7], "step": 83, "ordinal_position": 84}, {"identifier": "Y73", "position": [6, 7], "step": 84, "ordinal_position": 85}, {"identifier": "U13", "position": [7, 7], "step": 85, "ordinal_position": 86}, {"identifier": "W18", "position": [7, 8], "step": 86, "ordinal_position": 87}, {"identifier": "W08", "position": [7, 9], "step": 87, "ordinal_position": 88}, {"identifier": "E65", "position": [8, 9], "step": 88, "ordinal_position": 89}, {"identifier": "J61", "position": [9, 9], "step": 89, "ordinal_position": 90}, {"identifier": "A53", "position": [9, 8], "step": 90, "ordinal_position": 91}, {"identifier": "Q63", "position": [9, 7], "step": 91, "ordinal_position": 92}, {"identifier": "C69", "position": [9, 6], "step": 92, "ordinal_position": 93}, {"identifier": "A93", "position": [9, 5], "step": 93, "ordinal_position": 94}, {"identifier": "A37", "position": [8, 5], "step": 94, "ordinal_position": 95}, {"identifier": "Z10", "position": [7, 5], "step": 95, "ordinal_position": 96}, {"identifier": "F03", "position": [7, 4], "step": 96, "ordinal_position": 97}, {"identifier": "D81", "position": [7, 3], "step": 97, "ordinal_position": 98}, {"identifier": "E13", "position": [6, 3], "step": 98, "ordinal_position": 99}, {"identifier": "Q15", "position": [5, 3], "step": 99, "ordinal_position": 100}, {"identifier": "T55", "position": [5, 4], "step": 100, "ordinal_position": 101}, {"identifier": "Z62", "position": [5, 5], "step": 101, "ordinal_position": 102}, {"identifier": "F89", "position": [4, 5], "step": 102, "ordinal_position": 103}, {"identifier": "M65", "position": [3, 5], "step": 103, "ordinal_position": 104}, {"identifier": "S60", "position": [3, 6], "step": 104, "ordinal_position": 105}, {"identifier": "T45", "position": [3, 7], "step": 105, "ordinal_position": 106}, {"identifier": "P28", "position": [3, 8], "step": 106, "ordinal_position": 107}, {"identifier": "N10", "position": [3, 9], "step": 107, "ordinal_position": 108}, {"identifier": "E97", "position": [4, 9], "step": 108, "ordinal_position": 109}, {"identifier": "C90", "position": [5, 9], "step": 109, "ordinal_position": 110}, {"identifier": "G32", "position": [5, 8], "step": 110, "ordinal_position": 111}, {"identifier": "U44", "position": [5, 7], "step": 111, "ordinal_position": 112}, {"identifier": "Y73", "position": [6, 7], "step": 112, "ordinal_position": 113}, {"identifier": "U13", "position": [7, 7], "step": 113, "ordinal_position": 114}, {"identifier": "W18", "position": [7, 8], "step": 114, "ordinal_position": 115}, {"identifier": "W08", "position": [7, 9], "step": 115, "ordinal_position": 116}, {"identifier": "E65", "position": [8, 9], "step": 116, "ordinal_position": 117}, {"identifier": "J61", "position": [9, 9], "step": 117, "ordinal_position": 118}, {"identifier": "A53", "position": [9, 8], "step": 118, "ordinal_position": 119}, {"identifier": "Q63", "position": [9, 7], "step": 119, "ordinal_position": 120}, {"identifier": "C69", "position": [9, 6], "step": 120, "ordinal_position": 121}, {"identifier": "A93", "position": [9, 5], "step": 121, "ordinal_position": 122}, {"identifier": "A37", "position": [8, 5], "step": 122, "ordinal_position": 123}, {"identifier": "Z10", "position": [7, 5], "step": 123, "ordinal_position": 124}, {"identifier": "F03", "position": [7, 4], "step": 124, "ordinal_position": 125}, {"identifier": "D81", "position": [7, 3], "step": 125, "ordinal_position": 126}, {"identifier": "E13", "position": [6, 3], "step": 126, "ordinal_position": 127}, {"identifier": "Q15", "position": [5, 3], "step": 127, "ordinal_position": 128}, {"identifier": "T55", "position": [5, 4], "step": 128, "ordinal_position": 129}, {"identifier": "Z62", "position": [5, 5], "step": 129, "ordinal_position": 130}, {"identifier": "F89", "position": [4, 5], "step": 130, "ordinal_position": 131}, {"identifier": "M65", "position": [3, 5], "step": 131, "ordinal_position": 132}, {"identifier": "S60", "position": [3, 6], "step": 132, "ordinal_position": 133}, {"identifier": "T45", "position": [3, 7], "step": 133, "ordinal_position": 134}, {"identifier": "P28", "position": [3, 8], "step": 134, "ordinal_position": 135}, {"identifier": "N10", "position": [3, 9], "step": 135, "ordinal_position": 136}, {"identifier": "E97", "position": [4, 9], "step": 136, "ordinal_position": 137}, {"identifier": "C90", "position": [5, 9], "step": 137, "ordinal_position": 138}, {"identifier": "G32", "position": [5, 8], "step": 138, "ordinal_position": 139}, {"identifier": "U44", "position": [5, 7], "step": 139, "ordinal_position": 140}, {"identifier": "Y73", "position": [6, 7], "step": 140, "ordinal_position": 141}, {"identifier": "U13", "position": [7, 7], "step": 141, "ordinal_position": 142}, {"identifier": "W18", "position": [7, 8], "step": 142, "ordinal_position": 143}, {"identifier": "W08", "position": [7, 9], "step": 143, "ordinal_position": 144}, {"identifier": "E65", "position": [8, 9], "step": 144, "ordinal_position": 145}, {"identifier": "J61", "position": [9, 9], "step": 145, "ordinal_position": 146}, {"identifier": "A53", "position": [9, 8], "step": 146, "ordinal_position": 147}, {"identifier": "Q63", "position": [9, 7], "step": 147, "ordinal_position": 148}, {"identifier": "C69", "position": [9, 6], "step": 148, "ordinal_position": 149}, {"identifier": "A93", "position": [9, 5], "step": 149, "ordinal_position": 150}, {"identifier": "A37", "position": [8, 5], "step": 150, "ordinal_position": 151}, {"identifier": "Z10", "position": [7, 5], "step": 151, "ordinal_position": 152}, {"identifier": "F03", "position": [7, 4], "step": 152, "ordinal_position": 153}, {"identifier": "D81", "position": [7, 3], "step": 153, "ordinal_position": 154}, {"identifier": "E13", "position": [6, 3], "step": 154, "ordinal_position": 155}, {"identifier": "Q15", "position": [5, 3], "step": 155, "ordinal_position": 156}, {"identifier": "T55", "position": [5, 4], "step": 156, "ordinal_position": 157}, {"identifier": "Z62", "position": [5, 5], "step": 157, "ordinal_position": 158}, {"identifier": "F89", "position": [4, 5], "step": 158, "ordinal_position": 159}, {"identifier": "M65", "position": [3, 5], "step": 159, "ordinal_position": 160}, {"identifier": "S60", "position": [3, 6], "step": 160, "ordinal_position": 161}, {"identifier": "T45", "position": [3, 7], "step": 161, "ordinal_position": 162}, {"identifier": "P28", "position": [3, 8], "step": 162, "ordinal_position": 163}, {"identifier": "N10", "position": [3, 9], "step": 163, "ordinal_position": 164}, {"identifier": "E97", "position": [4, 9], "step": 164, "ordinal_position": 165}, {"identifier": "C90", "position": [5, 9], "step": 165, "ordinal_position": 166}, {"identifier": "G32", "position": [5, 8], "step": 166, "ordinal_position": 167}, {"identifier": "U44", "position": [5, 7], "step": 167, "ordinal_position": 168}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 168, "direction": "right", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_016.json"}} {"qa_id": "e009352271e14126aac1c024dd1653d2", "image_id": "L3-MazeLoop-test_11x11_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B97, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 139th position in this traversal?", "start_object_id": "B97", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [139], "ordinal_strings": ["139th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "E13", "traversal_path": [{"identifier": "B97", "position": [1, 6], "step": 0, "ordinal_position": 1}, {"identifier": "Q08", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "U93", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "G72", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "N08", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "J95", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Q38", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "M46", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "V43", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "J51", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "S57", "position": [6, 1], "step": 10, "ordinal_position": 11}, {"identifier": "T75", "position": [7, 1], "step": 11, "ordinal_position": 12}, {"identifier": "A57", "position": [8, 1], "step": 12, "ordinal_position": 13}, {"identifier": "P12", "position": [9, 1], "step": 13, "ordinal_position": 14}, {"identifier": "S23", "position": [9, 2], "step": 14, "ordinal_position": 15}, {"identifier": "B90", "position": [9, 3], "step": 15, "ordinal_position": 16}, {"identifier": "S87", "position": [8, 3], "step": 16, "ordinal_position": 17}, {"identifier": "D81", "position": [7, 3], "step": 17, "ordinal_position": 18}, {"identifier": "E13", "position": [6, 3], "step": 18, "ordinal_position": 19}, {"identifier": "Q15", "position": [5, 3], "step": 19, "ordinal_position": 20}, {"identifier": "T55", "position": [5, 4], "step": 20, "ordinal_position": 21}, {"identifier": "Z62", "position": [5, 5], "step": 21, "ordinal_position": 22}, {"identifier": "F89", "position": [4, 5], "step": 22, "ordinal_position": 23}, {"identifier": "M65", "position": [3, 5], "step": 23, "ordinal_position": 24}, {"identifier": "D20", "position": [3, 4], "step": 24, "ordinal_position": 25}, {"identifier": "M96", "position": [3, 3], "step": 25, "ordinal_position": 26}, {"identifier": "A25", "position": [3, 2], "step": 26, "ordinal_position": 27}, {"identifier": "M46", "position": [3, 1], "step": 27, "ordinal_position": 28}, {"identifier": "V43", "position": [4, 1], "step": 28, "ordinal_position": 29}, {"identifier": "J51", "position": [5, 1], "step": 29, "ordinal_position": 30}, {"identifier": "S57", "position": [6, 1], "step": 30, "ordinal_position": 31}, {"identifier": "T75", "position": [7, 1], "step": 31, "ordinal_position": 32}, {"identifier": "A57", "position": [8, 1], "step": 32, "ordinal_position": 33}, {"identifier": "P12", "position": [9, 1], "step": 33, "ordinal_position": 34}, {"identifier": "S23", "position": [9, 2], "step": 34, "ordinal_position": 35}, {"identifier": "B90", "position": [9, 3], "step": 35, "ordinal_position": 36}, {"identifier": "S87", "position": [8, 3], "step": 36, "ordinal_position": 37}, {"identifier": "D81", "position": [7, 3], "step": 37, "ordinal_position": 38}, {"identifier": "E13", "position": [6, 3], "step": 38, "ordinal_position": 39}, {"identifier": "Q15", "position": [5, 3], "step": 39, "ordinal_position": 40}, {"identifier": "T55", "position": [5, 4], "step": 40, "ordinal_position": 41}, {"identifier": "Z62", "position": [5, 5], "step": 41, "ordinal_position": 42}, {"identifier": "F89", "position": [4, 5], "step": 42, "ordinal_position": 43}, {"identifier": "M65", "position": [3, 5], "step": 43, "ordinal_position": 44}, {"identifier": "D20", "position": [3, 4], "step": 44, "ordinal_position": 45}, {"identifier": "M96", "position": [3, 3], "step": 45, "ordinal_position": 46}, {"identifier": "A25", "position": [3, 2], "step": 46, "ordinal_position": 47}, {"identifier": "M46", "position": [3, 1], "step": 47, "ordinal_position": 48}, {"identifier": "V43", "position": [4, 1], "step": 48, "ordinal_position": 49}, {"identifier": "J51", "position": [5, 1], "step": 49, "ordinal_position": 50}, {"identifier": "S57", "position": [6, 1], "step": 50, "ordinal_position": 51}, {"identifier": "T75", "position": [7, 1], "step": 51, "ordinal_position": 52}, {"identifier": "A57", "position": [8, 1], "step": 52, "ordinal_position": 53}, {"identifier": "P12", "position": [9, 1], "step": 53, "ordinal_position": 54}, {"identifier": "S23", "position": [9, 2], "step": 54, "ordinal_position": 55}, {"identifier": "B90", "position": [9, 3], "step": 55, "ordinal_position": 56}, {"identifier": "S87", "position": [8, 3], "step": 56, "ordinal_position": 57}, {"identifier": "D81", "position": [7, 3], "step": 57, "ordinal_position": 58}, {"identifier": "E13", "position": [6, 3], "step": 58, "ordinal_position": 59}, {"identifier": "Q15", "position": [5, 3], "step": 59, "ordinal_position": 60}, {"identifier": "T55", "position": [5, 4], "step": 60, "ordinal_position": 61}, {"identifier": "Z62", "position": [5, 5], "step": 61, "ordinal_position": 62}, {"identifier": "F89", "position": [4, 5], "step": 62, "ordinal_position": 63}, {"identifier": "M65", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "D20", "position": [3, 4], "step": 64, "ordinal_position": 65}, {"identifier": "M96", "position": [3, 3], "step": 65, "ordinal_position": 66}, {"identifier": "A25", "position": [3, 2], "step": 66, "ordinal_position": 67}, {"identifier": "M46", "position": [3, 1], "step": 67, "ordinal_position": 68}, {"identifier": "V43", "position": [4, 1], "step": 68, "ordinal_position": 69}, {"identifier": "J51", "position": [5, 1], "step": 69, "ordinal_position": 70}, {"identifier": "S57", "position": [6, 1], "step": 70, "ordinal_position": 71}, {"identifier": "T75", "position": [7, 1], "step": 71, "ordinal_position": 72}, {"identifier": "A57", "position": [8, 1], "step": 72, "ordinal_position": 73}, {"identifier": "P12", "position": [9, 1], "step": 73, "ordinal_position": 74}, {"identifier": "S23", "position": [9, 2], "step": 74, "ordinal_position": 75}, {"identifier": "B90", "position": [9, 3], "step": 75, "ordinal_position": 76}, {"identifier": "S87", "position": [8, 3], "step": 76, "ordinal_position": 77}, {"identifier": "D81", "position": [7, 3], "step": 77, "ordinal_position": 78}, {"identifier": "E13", "position": [6, 3], "step": 78, "ordinal_position": 79}, {"identifier": "Q15", "position": [5, 3], "step": 79, "ordinal_position": 80}, {"identifier": "T55", "position": [5, 4], "step": 80, "ordinal_position": 81}, {"identifier": "Z62", "position": [5, 5], "step": 81, "ordinal_position": 82}, {"identifier": "F89", "position": [4, 5], "step": 82, "ordinal_position": 83}, {"identifier": "M65", "position": [3, 5], "step": 83, "ordinal_position": 84}, {"identifier": "D20", "position": [3, 4], "step": 84, "ordinal_position": 85}, {"identifier": "M96", "position": [3, 3], "step": 85, "ordinal_position": 86}, {"identifier": "A25", "position": [3, 2], "step": 86, "ordinal_position": 87}, {"identifier": "M46", "position": [3, 1], "step": 87, "ordinal_position": 88}, {"identifier": "V43", "position": [4, 1], "step": 88, "ordinal_position": 89}, {"identifier": "J51", "position": [5, 1], "step": 89, "ordinal_position": 90}, {"identifier": "S57", "position": [6, 1], "step": 90, "ordinal_position": 91}, {"identifier": "T75", "position": [7, 1], "step": 91, "ordinal_position": 92}, {"identifier": "A57", "position": [8, 1], "step": 92, "ordinal_position": 93}, {"identifier": "P12", "position": [9, 1], "step": 93, "ordinal_position": 94}, {"identifier": "S23", "position": [9, 2], "step": 94, "ordinal_position": 95}, {"identifier": "B90", "position": [9, 3], "step": 95, "ordinal_position": 96}, {"identifier": "S87", "position": [8, 3], "step": 96, "ordinal_position": 97}, {"identifier": "D81", "position": [7, 3], "step": 97, "ordinal_position": 98}, {"identifier": "E13", "position": [6, 3], "step": 98, "ordinal_position": 99}, {"identifier": "Q15", "position": [5, 3], "step": 99, "ordinal_position": 100}, {"identifier": "T55", "position": [5, 4], "step": 100, "ordinal_position": 101}, {"identifier": "Z62", "position": [5, 5], "step": 101, "ordinal_position": 102}, {"identifier": "F89", "position": [4, 5], "step": 102, "ordinal_position": 103}, {"identifier": "M65", "position": [3, 5], "step": 103, "ordinal_position": 104}, {"identifier": "D20", "position": [3, 4], "step": 104, "ordinal_position": 105}, {"identifier": "M96", "position": [3, 3], "step": 105, "ordinal_position": 106}, {"identifier": "A25", "position": [3, 2], "step": 106, "ordinal_position": 107}, {"identifier": "M46", "position": [3, 1], "step": 107, "ordinal_position": 108}, {"identifier": "V43", "position": [4, 1], "step": 108, "ordinal_position": 109}, {"identifier": "J51", "position": [5, 1], "step": 109, "ordinal_position": 110}, {"identifier": "S57", "position": [6, 1], "step": 110, "ordinal_position": 111}, {"identifier": "T75", "position": [7, 1], "step": 111, "ordinal_position": 112}, {"identifier": "A57", "position": [8, 1], "step": 112, "ordinal_position": 113}, {"identifier": "P12", "position": [9, 1], "step": 113, "ordinal_position": 114}, {"identifier": "S23", "position": [9, 2], "step": 114, "ordinal_position": 115}, {"identifier": "B90", "position": [9, 3], "step": 115, "ordinal_position": 116}, {"identifier": "S87", "position": [8, 3], "step": 116, "ordinal_position": 117}, {"identifier": "D81", "position": [7, 3], "step": 117, "ordinal_position": 118}, {"identifier": "E13", "position": [6, 3], "step": 118, "ordinal_position": 119}, {"identifier": "Q15", "position": [5, 3], "step": 119, "ordinal_position": 120}, {"identifier": "T55", "position": [5, 4], "step": 120, "ordinal_position": 121}, {"identifier": "Z62", "position": [5, 5], "step": 121, "ordinal_position": 122}, {"identifier": "F89", "position": [4, 5], "step": 122, "ordinal_position": 123}, {"identifier": "M65", "position": [3, 5], "step": 123, "ordinal_position": 124}, {"identifier": "D20", "position": [3, 4], "step": 124, "ordinal_position": 125}, {"identifier": "M96", "position": [3, 3], "step": 125, "ordinal_position": 126}, {"identifier": "A25", "position": [3, 2], "step": 126, "ordinal_position": 127}, {"identifier": "M46", "position": [3, 1], "step": 127, "ordinal_position": 128}, {"identifier": "V43", "position": [4, 1], "step": 128, "ordinal_position": 129}, {"identifier": "J51", "position": [5, 1], "step": 129, "ordinal_position": 130}, {"identifier": "S57", "position": [6, 1], "step": 130, "ordinal_position": 131}, {"identifier": "T75", "position": [7, 1], "step": 131, "ordinal_position": 132}, {"identifier": "A57", "position": [8, 1], "step": 132, "ordinal_position": 133}, {"identifier": "P12", "position": [9, 1], "step": 133, "ordinal_position": 134}, {"identifier": "S23", "position": [9, 2], "step": 134, "ordinal_position": 135}, {"identifier": "B90", "position": [9, 3], "step": 135, "ordinal_position": 136}, {"identifier": "S87", "position": [8, 3], "step": 136, "ordinal_position": 137}, {"identifier": "D81", "position": [7, 3], "step": 137, "ordinal_position": 138}, {"identifier": "E13", "position": [6, 3], "step": 138, "ordinal_position": 139}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 139, "direction": "up", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_016.json"}} {"qa_id": "99dd754a48f148599158a80b1f4b4459", "image_id": "L3-MazeLoop-test_11x11_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D81, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 112th position in this traversal?", "start_object_id": "D81", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [112], "ordinal_strings": ["112th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "F03", "traversal_path": [{"identifier": "D81", "position": [7, 3], "step": 0, "ordinal_position": 1}, {"identifier": "E13", "position": [6, 3], "step": 1, "ordinal_position": 2}, {"identifier": "Q15", "position": [5, 3], "step": 2, "ordinal_position": 3}, {"identifier": "T55", "position": [5, 4], "step": 3, "ordinal_position": 4}, {"identifier": "Z62", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "F89", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "M65", "position": [3, 5], "step": 6, "ordinal_position": 7}, {"identifier": "S60", "position": [3, 6], "step": 7, "ordinal_position": 8}, {"identifier": "T45", "position": [3, 7], "step": 8, "ordinal_position": 9}, {"identifier": "P28", "position": [3, 8], "step": 9, "ordinal_position": 10}, {"identifier": "N10", "position": [3, 9], "step": 10, "ordinal_position": 11}, {"identifier": "E97", "position": [4, 9], "step": 11, "ordinal_position": 12}, {"identifier": "C90", "position": [5, 9], "step": 12, "ordinal_position": 13}, {"identifier": "G32", "position": [5, 8], "step": 13, "ordinal_position": 14}, {"identifier": "U44", "position": [5, 7], "step": 14, "ordinal_position": 15}, {"identifier": "Y73", "position": [6, 7], "step": 15, "ordinal_position": 16}, {"identifier": "U13", "position": [7, 7], "step": 16, "ordinal_position": 17}, {"identifier": "W18", "position": [7, 8], "step": 17, "ordinal_position": 18}, {"identifier": "W08", "position": [7, 9], "step": 18, "ordinal_position": 19}, {"identifier": "E65", "position": [8, 9], "step": 19, "ordinal_position": 20}, {"identifier": "J61", "position": [9, 9], "step": 20, "ordinal_position": 21}, {"identifier": "A53", "position": [9, 8], "step": 21, "ordinal_position": 22}, {"identifier": "Q63", "position": [9, 7], "step": 22, "ordinal_position": 23}, {"identifier": "C69", "position": [9, 6], "step": 23, "ordinal_position": 24}, {"identifier": "A93", "position": [9, 5], "step": 24, "ordinal_position": 25}, {"identifier": "A37", "position": [8, 5], "step": 25, "ordinal_position": 26}, {"identifier": "Z10", "position": [7, 5], "step": 26, "ordinal_position": 27}, {"identifier": "F03", "position": [7, 4], "step": 27, "ordinal_position": 28}, {"identifier": "D81", "position": [7, 3], "step": 28, "ordinal_position": 29}, {"identifier": "E13", "position": [6, 3], "step": 29, "ordinal_position": 30}, {"identifier": "Q15", "position": [5, 3], "step": 30, "ordinal_position": 31}, {"identifier": "T55", "position": [5, 4], "step": 31, "ordinal_position": 32}, {"identifier": "Z62", "position": [5, 5], "step": 32, "ordinal_position": 33}, {"identifier": "F89", "position": [4, 5], "step": 33, "ordinal_position": 34}, {"identifier": "M65", "position": [3, 5], "step": 34, "ordinal_position": 35}, {"identifier": "S60", "position": [3, 6], "step": 35, "ordinal_position": 36}, {"identifier": "T45", "position": [3, 7], "step": 36, "ordinal_position": 37}, {"identifier": "P28", "position": [3, 8], "step": 37, "ordinal_position": 38}, {"identifier": "N10", "position": [3, 9], "step": 38, "ordinal_position": 39}, {"identifier": "E97", "position": [4, 9], "step": 39, "ordinal_position": 40}, {"identifier": "C90", "position": [5, 9], "step": 40, "ordinal_position": 41}, {"identifier": "G32", "position": [5, 8], "step": 41, "ordinal_position": 42}, {"identifier": "U44", "position": [5, 7], "step": 42, "ordinal_position": 43}, {"identifier": "Y73", "position": [6, 7], "step": 43, "ordinal_position": 44}, {"identifier": "U13", "position": [7, 7], "step": 44, "ordinal_position": 45}, {"identifier": "W18", "position": [7, 8], "step": 45, "ordinal_position": 46}, {"identifier": "W08", "position": [7, 9], "step": 46, "ordinal_position": 47}, {"identifier": "E65", "position": [8, 9], "step": 47, "ordinal_position": 48}, {"identifier": "J61", "position": [9, 9], "step": 48, "ordinal_position": 49}, {"identifier": "A53", "position": [9, 8], "step": 49, "ordinal_position": 50}, {"identifier": "Q63", "position": [9, 7], "step": 50, "ordinal_position": 51}, {"identifier": "C69", "position": [9, 6], "step": 51, "ordinal_position": 52}, {"identifier": "A93", "position": [9, 5], "step": 52, "ordinal_position": 53}, {"identifier": "A37", "position": [8, 5], "step": 53, "ordinal_position": 54}, {"identifier": "Z10", "position": [7, 5], "step": 54, "ordinal_position": 55}, {"identifier": "F03", "position": [7, 4], "step": 55, "ordinal_position": 56}, {"identifier": "D81", "position": [7, 3], "step": 56, "ordinal_position": 57}, {"identifier": "E13", "position": [6, 3], "step": 57, "ordinal_position": 58}, {"identifier": "Q15", "position": [5, 3], "step": 58, "ordinal_position": 59}, {"identifier": "T55", "position": [5, 4], "step": 59, "ordinal_position": 60}, {"identifier": "Z62", "position": [5, 5], "step": 60, "ordinal_position": 61}, {"identifier": "F89", "position": [4, 5], "step": 61, "ordinal_position": 62}, {"identifier": "M65", "position": [3, 5], "step": 62, "ordinal_position": 63}, {"identifier": "S60", "position": [3, 6], "step": 63, "ordinal_position": 64}, {"identifier": "T45", "position": [3, 7], "step": 64, "ordinal_position": 65}, {"identifier": "P28", "position": [3, 8], "step": 65, "ordinal_position": 66}, {"identifier": "N10", "position": [3, 9], "step": 66, "ordinal_position": 67}, {"identifier": "E97", "position": [4, 9], "step": 67, "ordinal_position": 68}, {"identifier": "C90", "position": [5, 9], "step": 68, "ordinal_position": 69}, {"identifier": "G32", "position": [5, 8], "step": 69, "ordinal_position": 70}, {"identifier": "U44", "position": [5, 7], "step": 70, "ordinal_position": 71}, {"identifier": "Y73", "position": [6, 7], "step": 71, "ordinal_position": 72}, {"identifier": "U13", "position": [7, 7], "step": 72, "ordinal_position": 73}, {"identifier": "W18", "position": [7, 8], "step": 73, "ordinal_position": 74}, {"identifier": "W08", "position": [7, 9], "step": 74, "ordinal_position": 75}, {"identifier": "E65", "position": [8, 9], "step": 75, "ordinal_position": 76}, {"identifier": "J61", "position": [9, 9], "step": 76, "ordinal_position": 77}, {"identifier": "A53", "position": [9, 8], "step": 77, "ordinal_position": 78}, {"identifier": "Q63", "position": [9, 7], "step": 78, "ordinal_position": 79}, {"identifier": "C69", "position": [9, 6], "step": 79, "ordinal_position": 80}, {"identifier": "A93", "position": [9, 5], "step": 80, "ordinal_position": 81}, {"identifier": "A37", "position": [8, 5], "step": 81, "ordinal_position": 82}, {"identifier": "Z10", "position": [7, 5], "step": 82, "ordinal_position": 83}, {"identifier": "F03", "position": [7, 4], "step": 83, "ordinal_position": 84}, {"identifier": "D81", "position": [7, 3], "step": 84, "ordinal_position": 85}, {"identifier": "E13", "position": [6, 3], "step": 85, "ordinal_position": 86}, {"identifier": "Q15", "position": [5, 3], "step": 86, "ordinal_position": 87}, {"identifier": "T55", "position": [5, 4], "step": 87, "ordinal_position": 88}, {"identifier": "Z62", "position": [5, 5], "step": 88, "ordinal_position": 89}, {"identifier": "F89", "position": [4, 5], "step": 89, "ordinal_position": 90}, {"identifier": "M65", "position": [3, 5], "step": 90, "ordinal_position": 91}, {"identifier": "S60", "position": [3, 6], "step": 91, "ordinal_position": 92}, {"identifier": "T45", "position": [3, 7], "step": 92, "ordinal_position": 93}, {"identifier": "P28", "position": [3, 8], "step": 93, "ordinal_position": 94}, {"identifier": "N10", "position": [3, 9], "step": 94, "ordinal_position": 95}, {"identifier": "E97", "position": [4, 9], "step": 95, "ordinal_position": 96}, {"identifier": "C90", "position": [5, 9], "step": 96, "ordinal_position": 97}, {"identifier": "G32", "position": [5, 8], "step": 97, "ordinal_position": 98}, {"identifier": "U44", "position": [5, 7], "step": 98, "ordinal_position": 99}, {"identifier": "Y73", "position": [6, 7], "step": 99, "ordinal_position": 100}, {"identifier": "U13", "position": [7, 7], "step": 100, "ordinal_position": 101}, {"identifier": "W18", "position": [7, 8], "step": 101, "ordinal_position": 102}, {"identifier": "W08", "position": [7, 9], "step": 102, "ordinal_position": 103}, {"identifier": "E65", "position": [8, 9], "step": 103, "ordinal_position": 104}, {"identifier": "J61", "position": [9, 9], "step": 104, "ordinal_position": 105}, {"identifier": "A53", "position": [9, 8], "step": 105, "ordinal_position": 106}, {"identifier": "Q63", "position": [9, 7], "step": 106, "ordinal_position": 107}, {"identifier": "C69", "position": [9, 6], "step": 107, "ordinal_position": 108}, {"identifier": "A93", "position": [9, 5], "step": 108, "ordinal_position": 109}, {"identifier": "A37", "position": [8, 5], "step": 109, "ordinal_position": 110}, {"identifier": "Z10", "position": [7, 5], "step": 110, "ordinal_position": 111}, {"identifier": "F03", "position": [7, 4], "step": 111, "ordinal_position": 112}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 112, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_016.json"}} {"qa_id": "e5e09f92fb364e9aa89d1983d53da404", "image_id": "L3-MazeLoop-test_11x11_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P12, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 191st position in this traversal?", "start_object_id": "P12", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [191], "ordinal_strings": ["191st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "M65", "traversal_path": [{"identifier": "P12", "position": [9, 1], "step": 0, "ordinal_position": 1}, {"identifier": "S23", "position": [9, 2], "step": 1, "ordinal_position": 2}, {"identifier": "B90", "position": [9, 3], "step": 2, "ordinal_position": 3}, {"identifier": "S87", "position": [8, 3], "step": 3, "ordinal_position": 4}, {"identifier": "D81", "position": [7, 3], "step": 4, "ordinal_position": 5}, {"identifier": "E13", "position": [6, 3], "step": 5, "ordinal_position": 6}, {"identifier": "Q15", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "T55", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "Z62", "position": [5, 5], "step": 8, "ordinal_position": 9}, {"identifier": "F89", "position": [4, 5], "step": 9, "ordinal_position": 10}, {"identifier": "M65", "position": [3, 5], "step": 10, "ordinal_position": 11}, {"identifier": "D20", "position": [3, 4], "step": 11, "ordinal_position": 12}, {"identifier": "M96", "position": [3, 3], "step": 12, "ordinal_position": 13}, {"identifier": "A25", "position": [3, 2], "step": 13, "ordinal_position": 14}, {"identifier": "M46", "position": [3, 1], "step": 14, "ordinal_position": 15}, {"identifier": "V43", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "J51", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "S57", "position": [6, 1], "step": 17, "ordinal_position": 18}, {"identifier": "T75", "position": [7, 1], "step": 18, "ordinal_position": 19}, {"identifier": "A57", "position": [8, 1], "step": 19, "ordinal_position": 20}, {"identifier": "P12", "position": [9, 1], "step": 20, "ordinal_position": 21}, {"identifier": "S23", "position": [9, 2], "step": 21, "ordinal_position": 22}, {"identifier": "B90", "position": [9, 3], "step": 22, "ordinal_position": 23}, {"identifier": "S87", "position": [8, 3], "step": 23, "ordinal_position": 24}, {"identifier": "D81", "position": [7, 3], "step": 24, "ordinal_position": 25}, {"identifier": "E13", "position": [6, 3], "step": 25, "ordinal_position": 26}, {"identifier": "Q15", "position": [5, 3], "step": 26, "ordinal_position": 27}, {"identifier": "T55", "position": [5, 4], "step": 27, "ordinal_position": 28}, {"identifier": "Z62", "position": [5, 5], "step": 28, "ordinal_position": 29}, {"identifier": "F89", "position": [4, 5], "step": 29, "ordinal_position": 30}, {"identifier": "M65", "position": [3, 5], "step": 30, "ordinal_position": 31}, {"identifier": "D20", "position": [3, 4], "step": 31, "ordinal_position": 32}, {"identifier": "M96", "position": [3, 3], "step": 32, "ordinal_position": 33}, {"identifier": "A25", "position": [3, 2], "step": 33, "ordinal_position": 34}, {"identifier": "M46", "position": [3, 1], "step": 34, "ordinal_position": 35}, {"identifier": "V43", "position": [4, 1], "step": 35, "ordinal_position": 36}, {"identifier": "J51", "position": [5, 1], "step": 36, "ordinal_position": 37}, {"identifier": "S57", "position": [6, 1], "step": 37, "ordinal_position": 38}, {"identifier": "T75", "position": [7, 1], "step": 38, "ordinal_position": 39}, {"identifier": "A57", "position": [8, 1], "step": 39, "ordinal_position": 40}, {"identifier": "P12", "position": [9, 1], "step": 40, "ordinal_position": 41}, {"identifier": "S23", "position": [9, 2], "step": 41, "ordinal_position": 42}, {"identifier": "B90", "position": [9, 3], "step": 42, "ordinal_position": 43}, {"identifier": "S87", "position": [8, 3], "step": 43, "ordinal_position": 44}, {"identifier": "D81", "position": [7, 3], "step": 44, "ordinal_position": 45}, {"identifier": "E13", "position": [6, 3], "step": 45, "ordinal_position": 46}, {"identifier": "Q15", "position": [5, 3], "step": 46, "ordinal_position": 47}, {"identifier": "T55", "position": [5, 4], "step": 47, "ordinal_position": 48}, {"identifier": "Z62", "position": [5, 5], "step": 48, "ordinal_position": 49}, {"identifier": "F89", "position": [4, 5], "step": 49, "ordinal_position": 50}, {"identifier": "M65", "position": [3, 5], "step": 50, "ordinal_position": 51}, {"identifier": "D20", "position": [3, 4], "step": 51, "ordinal_position": 52}, {"identifier": "M96", "position": [3, 3], "step": 52, "ordinal_position": 53}, {"identifier": "A25", "position": [3, 2], "step": 53, "ordinal_position": 54}, {"identifier": "M46", "position": [3, 1], "step": 54, "ordinal_position": 55}, {"identifier": "V43", "position": [4, 1], "step": 55, "ordinal_position": 56}, {"identifier": "J51", "position": [5, 1], "step": 56, "ordinal_position": 57}, {"identifier": "S57", "position": [6, 1], "step": 57, "ordinal_position": 58}, {"identifier": "T75", "position": [7, 1], "step": 58, "ordinal_position": 59}, {"identifier": "A57", "position": [8, 1], "step": 59, "ordinal_position": 60}, {"identifier": "P12", "position": [9, 1], "step": 60, "ordinal_position": 61}, {"identifier": "S23", "position": [9, 2], "step": 61, "ordinal_position": 62}, {"identifier": "B90", "position": [9, 3], "step": 62, "ordinal_position": 63}, {"identifier": "S87", "position": [8, 3], "step": 63, "ordinal_position": 64}, {"identifier": "D81", "position": [7, 3], "step": 64, "ordinal_position": 65}, {"identifier": "E13", "position": [6, 3], "step": 65, "ordinal_position": 66}, {"identifier": "Q15", "position": [5, 3], "step": 66, "ordinal_position": 67}, {"identifier": "T55", "position": [5, 4], "step": 67, "ordinal_position": 68}, {"identifier": "Z62", "position": [5, 5], "step": 68, "ordinal_position": 69}, {"identifier": "F89", "position": [4, 5], "step": 69, "ordinal_position": 70}, {"identifier": "M65", "position": [3, 5], "step": 70, "ordinal_position": 71}, {"identifier": "D20", "position": [3, 4], "step": 71, "ordinal_position": 72}, {"identifier": "M96", "position": [3, 3], "step": 72, "ordinal_position": 73}, {"identifier": "A25", "position": [3, 2], "step": 73, "ordinal_position": 74}, {"identifier": "M46", "position": [3, 1], "step": 74, "ordinal_position": 75}, {"identifier": "V43", "position": [4, 1], "step": 75, "ordinal_position": 76}, {"identifier": "J51", "position": [5, 1], "step": 76, "ordinal_position": 77}, {"identifier": "S57", "position": [6, 1], "step": 77, "ordinal_position": 78}, {"identifier": "T75", "position": [7, 1], "step": 78, "ordinal_position": 79}, {"identifier": "A57", "position": [8, 1], "step": 79, "ordinal_position": 80}, {"identifier": "P12", "position": [9, 1], "step": 80, "ordinal_position": 81}, {"identifier": "S23", "position": [9, 2], "step": 81, "ordinal_position": 82}, {"identifier": "B90", "position": [9, 3], "step": 82, "ordinal_position": 83}, {"identifier": "S87", "position": [8, 3], "step": 83, "ordinal_position": 84}, {"identifier": "D81", "position": [7, 3], "step": 84, "ordinal_position": 85}, {"identifier": "E13", "position": [6, 3], "step": 85, "ordinal_position": 86}, {"identifier": "Q15", "position": [5, 3], "step": 86, "ordinal_position": 87}, {"identifier": "T55", "position": [5, 4], "step": 87, "ordinal_position": 88}, {"identifier": "Z62", "position": [5, 5], "step": 88, "ordinal_position": 89}, {"identifier": "F89", "position": [4, 5], "step": 89, "ordinal_position": 90}, {"identifier": "M65", "position": [3, 5], "step": 90, "ordinal_position": 91}, {"identifier": "D20", "position": [3, 4], "step": 91, "ordinal_position": 92}, {"identifier": "M96", "position": [3, 3], "step": 92, "ordinal_position": 93}, {"identifier": "A25", "position": [3, 2], "step": 93, "ordinal_position": 94}, {"identifier": "M46", "position": [3, 1], "step": 94, "ordinal_position": 95}, {"identifier": "V43", "position": [4, 1], "step": 95, "ordinal_position": 96}, {"identifier": "J51", "position": [5, 1], "step": 96, "ordinal_position": 97}, {"identifier": "S57", "position": [6, 1], "step": 97, "ordinal_position": 98}, {"identifier": "T75", "position": [7, 1], "step": 98, "ordinal_position": 99}, {"identifier": "A57", "position": [8, 1], "step": 99, "ordinal_position": 100}, {"identifier": "P12", "position": [9, 1], "step": 100, "ordinal_position": 101}, {"identifier": "S23", "position": [9, 2], "step": 101, "ordinal_position": 102}, {"identifier": "B90", "position": [9, 3], "step": 102, "ordinal_position": 103}, {"identifier": "S87", "position": [8, 3], "step": 103, "ordinal_position": 104}, {"identifier": "D81", "position": [7, 3], "step": 104, "ordinal_position": 105}, {"identifier": "E13", "position": [6, 3], "step": 105, "ordinal_position": 106}, {"identifier": "Q15", "position": [5, 3], "step": 106, "ordinal_position": 107}, {"identifier": "T55", "position": [5, 4], "step": 107, "ordinal_position": 108}, {"identifier": "Z62", "position": [5, 5], "step": 108, "ordinal_position": 109}, {"identifier": "F89", "position": [4, 5], "step": 109, "ordinal_position": 110}, {"identifier": "M65", "position": [3, 5], "step": 110, "ordinal_position": 111}, {"identifier": "D20", "position": [3, 4], "step": 111, "ordinal_position": 112}, {"identifier": "M96", "position": [3, 3], "step": 112, "ordinal_position": 113}, {"identifier": "A25", "position": [3, 2], "step": 113, "ordinal_position": 114}, {"identifier": "M46", "position": [3, 1], "step": 114, "ordinal_position": 115}, {"identifier": "V43", "position": [4, 1], "step": 115, "ordinal_position": 116}, {"identifier": "J51", "position": [5, 1], "step": 116, "ordinal_position": 117}, {"identifier": "S57", "position": [6, 1], "step": 117, "ordinal_position": 118}, {"identifier": "T75", "position": [7, 1], "step": 118, "ordinal_position": 119}, {"identifier": "A57", "position": [8, 1], "step": 119, "ordinal_position": 120}, {"identifier": "P12", "position": [9, 1], "step": 120, "ordinal_position": 121}, {"identifier": "S23", "position": [9, 2], "step": 121, "ordinal_position": 122}, {"identifier": "B90", "position": [9, 3], "step": 122, "ordinal_position": 123}, {"identifier": "S87", "position": [8, 3], "step": 123, "ordinal_position": 124}, {"identifier": "D81", "position": [7, 3], "step": 124, "ordinal_position": 125}, {"identifier": "E13", "position": [6, 3], "step": 125, "ordinal_position": 126}, {"identifier": "Q15", "position": [5, 3], "step": 126, "ordinal_position": 127}, {"identifier": "T55", "position": [5, 4], "step": 127, "ordinal_position": 128}, {"identifier": "Z62", "position": [5, 5], "step": 128, "ordinal_position": 129}, {"identifier": "F89", "position": [4, 5], "step": 129, "ordinal_position": 130}, {"identifier": "M65", "position": [3, 5], "step": 130, "ordinal_position": 131}, {"identifier": "D20", "position": [3, 4], "step": 131, "ordinal_position": 132}, {"identifier": "M96", "position": [3, 3], "step": 132, "ordinal_position": 133}, {"identifier": "A25", "position": [3, 2], "step": 133, "ordinal_position": 134}, {"identifier": "M46", "position": [3, 1], "step": 134, "ordinal_position": 135}, {"identifier": "V43", "position": [4, 1], "step": 135, "ordinal_position": 136}, {"identifier": "J51", "position": [5, 1], "step": 136, "ordinal_position": 137}, {"identifier": "S57", "position": [6, 1], "step": 137, "ordinal_position": 138}, {"identifier": "T75", "position": [7, 1], "step": 138, "ordinal_position": 139}, {"identifier": "A57", "position": [8, 1], "step": 139, "ordinal_position": 140}, {"identifier": "P12", "position": [9, 1], "step": 140, "ordinal_position": 141}, {"identifier": "S23", "position": [9, 2], "step": 141, "ordinal_position": 142}, {"identifier": "B90", "position": [9, 3], "step": 142, "ordinal_position": 143}, {"identifier": "S87", "position": [8, 3], "step": 143, "ordinal_position": 144}, {"identifier": "D81", "position": [7, 3], "step": 144, "ordinal_position": 145}, {"identifier": "E13", "position": [6, 3], "step": 145, "ordinal_position": 146}, {"identifier": "Q15", "position": [5, 3], "step": 146, "ordinal_position": 147}, {"identifier": "T55", "position": [5, 4], "step": 147, "ordinal_position": 148}, {"identifier": "Z62", "position": [5, 5], "step": 148, "ordinal_position": 149}, {"identifier": "F89", "position": [4, 5], "step": 149, "ordinal_position": 150}, {"identifier": "M65", "position": [3, 5], "step": 150, "ordinal_position": 151}, {"identifier": "D20", "position": [3, 4], "step": 151, "ordinal_position": 152}, {"identifier": "M96", "position": [3, 3], "step": 152, "ordinal_position": 153}, {"identifier": "A25", "position": [3, 2], "step": 153, "ordinal_position": 154}, {"identifier": "M46", "position": [3, 1], "step": 154, "ordinal_position": 155}, {"identifier": "V43", "position": [4, 1], "step": 155, "ordinal_position": 156}, {"identifier": "J51", "position": [5, 1], "step": 156, "ordinal_position": 157}, {"identifier": "S57", "position": [6, 1], "step": 157, "ordinal_position": 158}, {"identifier": "T75", "position": [7, 1], "step": 158, "ordinal_position": 159}, {"identifier": "A57", "position": [8, 1], "step": 159, "ordinal_position": 160}, {"identifier": "P12", "position": [9, 1], "step": 160, "ordinal_position": 161}, {"identifier": "S23", "position": [9, 2], "step": 161, "ordinal_position": 162}, {"identifier": "B90", "position": [9, 3], "step": 162, "ordinal_position": 163}, {"identifier": "S87", "position": [8, 3], "step": 163, "ordinal_position": 164}, {"identifier": "D81", "position": [7, 3], "step": 164, "ordinal_position": 165}, {"identifier": "E13", "position": [6, 3], "step": 165, "ordinal_position": 166}, {"identifier": "Q15", "position": [5, 3], "step": 166, "ordinal_position": 167}, {"identifier": "T55", "position": [5, 4], "step": 167, "ordinal_position": 168}, {"identifier": "Z62", "position": [5, 5], "step": 168, "ordinal_position": 169}, {"identifier": "F89", "position": [4, 5], "step": 169, "ordinal_position": 170}, {"identifier": "M65", "position": [3, 5], "step": 170, "ordinal_position": 171}, {"identifier": "D20", "position": [3, 4], "step": 171, "ordinal_position": 172}, {"identifier": "M96", "position": [3, 3], "step": 172, "ordinal_position": 173}, {"identifier": "A25", "position": [3, 2], "step": 173, "ordinal_position": 174}, {"identifier": "M46", "position": [3, 1], "step": 174, "ordinal_position": 175}, {"identifier": "V43", "position": [4, 1], "step": 175, "ordinal_position": 176}, {"identifier": "J51", "position": [5, 1], "step": 176, "ordinal_position": 177}, {"identifier": "S57", "position": [6, 1], "step": 177, "ordinal_position": 178}, {"identifier": "T75", "position": [7, 1], "step": 178, "ordinal_position": 179}, {"identifier": "A57", "position": [8, 1], "step": 179, "ordinal_position": 180}, {"identifier": "P12", "position": [9, 1], "step": 180, "ordinal_position": 181}, {"identifier": "S23", "position": [9, 2], "step": 181, "ordinal_position": 182}, {"identifier": "B90", "position": [9, 3], "step": 182, "ordinal_position": 183}, {"identifier": "S87", "position": [8, 3], "step": 183, "ordinal_position": 184}, {"identifier": "D81", "position": [7, 3], "step": 184, "ordinal_position": 185}, {"identifier": "E13", "position": [6, 3], "step": 185, "ordinal_position": 186}, {"identifier": "Q15", "position": [5, 3], "step": 186, "ordinal_position": 187}, {"identifier": "T55", "position": [5, 4], "step": 187, "ordinal_position": 188}, {"identifier": "Z62", "position": [5, 5], "step": 188, "ordinal_position": 189}, {"identifier": "F89", "position": [4, 5], "step": 189, "ordinal_position": 190}, {"identifier": "M65", "position": [3, 5], "step": 190, "ordinal_position": 191}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 191, "direction": "down", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_016.json"}} {"qa_id": "823e8477d70e47d495e4541cdd71e590", "image_id": "L3-MazeLoop-test_11x11_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T40, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "T40", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "V83", "traversal_path": [{"identifier": "T40", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "V83", "position": [5, 2], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 2, "direction": "up", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_017.json"}} {"qa_id": "942dea6845bd4c53af78e5914bc1b23e", "image_id": "L3-MazeLoop-test_11x11_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V51, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 10th position in this traversal?", "start_object_id": "V51", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [10], "ordinal_strings": ["10th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "I75", "traversal_path": [{"identifier": "V51", "position": [6, 5], "step": 0, "ordinal_position": 1}, {"identifier": "W67", "position": [7, 5], "step": 1, "ordinal_position": 2}, {"identifier": "W80", "position": [8, 5], "step": 2, "ordinal_position": 3}, {"identifier": "P35", "position": [9, 5], "step": 3, "ordinal_position": 4}, {"identifier": "Y73", "position": [9, 6], "step": 4, "ordinal_position": 5}, {"identifier": "X75", "position": [9, 7], "step": 5, "ordinal_position": 6}, {"identifier": "M68", "position": [9, 8], "step": 6, "ordinal_position": 7}, {"identifier": "N60", "position": [9, 9], "step": 7, "ordinal_position": 8}, {"identifier": "A78", "position": [8, 9], "step": 8, "ordinal_position": 9}, {"identifier": "I75", "position": [7, 9], "step": 9, "ordinal_position": 10}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 10, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_017.json"}} {"qa_id": "da349179a4ca4a9c9757a50f8ffa8663", "image_id": "L3-MazeLoop-test_11x11_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T54, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "T54", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "O25", "traversal_path": [{"identifier": "T54", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "L28", "position": [3, 2], "step": 1, "ordinal_position": 2}, {"identifier": "H89", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "X68", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "X54", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "V83", "position": [5, 2], "step": 5, "ordinal_position": 6}, {"identifier": "T40", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "O25", "position": [6, 3], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 8, "direction": "up", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_017.json"}} {"qa_id": "c87cbe42a30d4a349f1392f5e8a498e8", "image_id": "L3-MazeLoop-test_11x11_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H89, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "H89", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "T40", "traversal_path": [{"identifier": "H89", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "X68", "position": [4, 1], "step": 1, "ordinal_position": 2}, {"identifier": "X54", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "V83", "position": [5, 2], "step": 3, "ordinal_position": 4}, {"identifier": "T40", "position": [5, 3], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 5, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_017.json"}} {"qa_id": "dd36292874294a59b7774eaec7e28b26", "image_id": "L3-MazeLoop-test_11x11_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M68, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "M68", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "I75", "traversal_path": [{"identifier": "M68", "position": [9, 8], "step": 0, "ordinal_position": 1}, {"identifier": "N60", "position": [9, 9], "step": 1, "ordinal_position": 2}, {"identifier": "A78", "position": [8, 9], "step": 2, "ordinal_position": 3}, {"identifier": "I75", "position": [7, 9], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 4, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_017.json"}} {"qa_id": "e671adb78cec421db3d99898502be35a", "image_id": "L3-MazeLoop-test_11x11_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A21, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 81st position in this traversal?", "start_object_id": "A21", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [81], "ordinal_strings": ["81st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Y73", "traversal_path": [{"identifier": "A21", "position": [4, 9], "step": 0, "ordinal_position": 1}, {"identifier": "Q60", "position": [5, 9], "step": 1, "ordinal_position": 2}, {"identifier": "W75", "position": [6, 9], "step": 2, "ordinal_position": 3}, {"identifier": "I75", "position": [7, 9], "step": 3, "ordinal_position": 4}, {"identifier": "A78", "position": [8, 9], "step": 4, "ordinal_position": 5}, {"identifier": "N60", "position": [9, 9], "step": 5, "ordinal_position": 6}, {"identifier": "M68", "position": [9, 8], "step": 6, "ordinal_position": 7}, {"identifier": "X75", "position": [9, 7], "step": 7, "ordinal_position": 8}, {"identifier": "Y73", "position": [9, 6], "step": 8, "ordinal_position": 9}, {"identifier": "P35", "position": [9, 5], "step": 9, "ordinal_position": 10}, {"identifier": "F30", "position": [9, 4], "step": 10, "ordinal_position": 11}, {"identifier": "A84", "position": [9, 3], "step": 11, "ordinal_position": 12}, {"identifier": "C06", "position": [9, 2], "step": 12, "ordinal_position": 13}, {"identifier": "C21", "position": [9, 1], "step": 13, "ordinal_position": 14}, {"identifier": "G99", "position": [8, 1], "step": 14, "ordinal_position": 15}, {"identifier": "E79", "position": [7, 1], "step": 15, "ordinal_position": 16}, {"identifier": "T86", "position": [7, 2], "step": 16, "ordinal_position": 17}, {"identifier": "I12", "position": [7, 3], "step": 17, "ordinal_position": 18}, {"identifier": "O25", "position": [6, 3], "step": 18, "ordinal_position": 19}, {"identifier": "T40", "position": [5, 3], "step": 19, "ordinal_position": 20}, {"identifier": "V83", "position": [5, 2], "step": 20, "ordinal_position": 21}, {"identifier": "X54", "position": [5, 1], "step": 21, "ordinal_position": 22}, {"identifier": "X68", "position": [4, 1], "step": 22, "ordinal_position": 23}, {"identifier": "H89", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "Z93", "position": [2, 1], "step": 24, "ordinal_position": 25}, {"identifier": "J78", "position": [1, 1], "step": 25, "ordinal_position": 26}, {"identifier": "L16", "position": [1, 2], "step": 26, "ordinal_position": 27}, {"identifier": "C63", "position": [1, 3], "step": 27, "ordinal_position": 28}, {"identifier": "X10", "position": [1, 4], "step": 28, "ordinal_position": 29}, {"identifier": "O24", "position": [1, 5], "step": 29, "ordinal_position": 30}, {"identifier": "N06", "position": [1, 6], "step": 30, "ordinal_position": 31}, {"identifier": "C07", "position": [1, 7], "step": 31, "ordinal_position": 32}, {"identifier": "K94", "position": [1, 8], "step": 32, "ordinal_position": 33}, {"identifier": "M59", "position": [1, 9], "step": 33, "ordinal_position": 34}, {"identifier": "V58", "position": [2, 9], "step": 34, "ordinal_position": 35}, {"identifier": "D07", "position": [3, 9], "step": 35, "ordinal_position": 36}, {"identifier": "A21", "position": [4, 9], "step": 36, "ordinal_position": 37}, {"identifier": "Q60", "position": [5, 9], "step": 37, "ordinal_position": 38}, {"identifier": "W75", "position": [6, 9], "step": 38, "ordinal_position": 39}, {"identifier": "I75", "position": [7, 9], "step": 39, "ordinal_position": 40}, {"identifier": "A78", "position": [8, 9], "step": 40, "ordinal_position": 41}, {"identifier": "N60", "position": [9, 9], "step": 41, "ordinal_position": 42}, {"identifier": "M68", "position": [9, 8], "step": 42, "ordinal_position": 43}, {"identifier": "X75", "position": [9, 7], "step": 43, "ordinal_position": 44}, {"identifier": "Y73", "position": [9, 6], "step": 44, "ordinal_position": 45}, {"identifier": "P35", "position": [9, 5], "step": 45, "ordinal_position": 46}, {"identifier": "F30", "position": [9, 4], "step": 46, "ordinal_position": 47}, {"identifier": "A84", "position": [9, 3], "step": 47, "ordinal_position": 48}, {"identifier": "C06", "position": [9, 2], "step": 48, "ordinal_position": 49}, {"identifier": "C21", "position": [9, 1], "step": 49, "ordinal_position": 50}, {"identifier": "G99", "position": [8, 1], "step": 50, "ordinal_position": 51}, {"identifier": "E79", "position": [7, 1], "step": 51, "ordinal_position": 52}, {"identifier": "T86", "position": [7, 2], "step": 52, "ordinal_position": 53}, {"identifier": "I12", "position": [7, 3], "step": 53, "ordinal_position": 54}, {"identifier": "O25", "position": [6, 3], "step": 54, "ordinal_position": 55}, {"identifier": "T40", "position": [5, 3], "step": 55, "ordinal_position": 56}, {"identifier": "V83", "position": [5, 2], "step": 56, "ordinal_position": 57}, {"identifier": "X54", "position": [5, 1], "step": 57, "ordinal_position": 58}, {"identifier": "X68", "position": [4, 1], "step": 58, "ordinal_position": 59}, {"identifier": "H89", "position": [3, 1], "step": 59, "ordinal_position": 60}, {"identifier": "Z93", "position": [2, 1], "step": 60, "ordinal_position": 61}, {"identifier": "J78", "position": [1, 1], "step": 61, "ordinal_position": 62}, {"identifier": "L16", "position": [1, 2], "step": 62, "ordinal_position": 63}, {"identifier": "C63", "position": [1, 3], "step": 63, "ordinal_position": 64}, {"identifier": "X10", "position": [1, 4], "step": 64, "ordinal_position": 65}, {"identifier": "O24", "position": [1, 5], "step": 65, "ordinal_position": 66}, {"identifier": "N06", "position": [1, 6], "step": 66, "ordinal_position": 67}, {"identifier": "C07", "position": [1, 7], "step": 67, "ordinal_position": 68}, {"identifier": "K94", "position": [1, 8], "step": 68, "ordinal_position": 69}, {"identifier": "M59", "position": [1, 9], "step": 69, "ordinal_position": 70}, {"identifier": "V58", "position": [2, 9], "step": 70, "ordinal_position": 71}, {"identifier": "D07", "position": [3, 9], "step": 71, "ordinal_position": 72}, {"identifier": "A21", "position": [4, 9], "step": 72, "ordinal_position": 73}, {"identifier": "Q60", "position": [5, 9], "step": 73, "ordinal_position": 74}, {"identifier": "W75", "position": [6, 9], "step": 74, "ordinal_position": 75}, {"identifier": "I75", "position": [7, 9], "step": 75, "ordinal_position": 76}, {"identifier": "A78", "position": [8, 9], "step": 76, "ordinal_position": 77}, {"identifier": "N60", "position": [9, 9], "step": 77, "ordinal_position": 78}, {"identifier": "M68", "position": [9, 8], "step": 78, "ordinal_position": 79}, {"identifier": "X75", "position": [9, 7], "step": 79, "ordinal_position": 80}, {"identifier": "Y73", "position": [9, 6], "step": 80, "ordinal_position": 81}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 81, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_017.json"}} {"qa_id": "e869727934194c748c9a694d0ad7d5b6", "image_id": "L3-MazeLoop-test_11x11_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I12, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 68th position in this traversal?", "start_object_id": "I12", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [68], "ordinal_strings": ["68th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "C06", "traversal_path": [{"identifier": "I12", "position": [7, 3], "step": 0, "ordinal_position": 1}, {"identifier": "O25", "position": [6, 3], "step": 1, "ordinal_position": 2}, {"identifier": "T40", "position": [5, 3], "step": 2, "ordinal_position": 3}, {"identifier": "V83", "position": [5, 2], "step": 3, "ordinal_position": 4}, {"identifier": "X54", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "X68", "position": [4, 1], "step": 5, "ordinal_position": 6}, {"identifier": "H89", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Z93", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "J78", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "L16", "position": [1, 2], "step": 9, "ordinal_position": 10}, {"identifier": "C63", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "X10", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "O24", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "N06", "position": [1, 6], "step": 13, "ordinal_position": 14}, {"identifier": "C07", "position": [1, 7], "step": 14, "ordinal_position": 15}, {"identifier": "K94", "position": [1, 8], "step": 15, "ordinal_position": 16}, {"identifier": "M59", "position": [1, 9], "step": 16, "ordinal_position": 17}, {"identifier": "V58", "position": [2, 9], "step": 17, "ordinal_position": 18}, {"identifier": "D07", "position": [3, 9], "step": 18, "ordinal_position": 19}, {"identifier": "A21", "position": [4, 9], "step": 19, "ordinal_position": 20}, {"identifier": "Q60", "position": [5, 9], "step": 20, "ordinal_position": 21}, {"identifier": "W75", "position": [6, 9], "step": 21, "ordinal_position": 22}, {"identifier": "I75", "position": [7, 9], "step": 22, "ordinal_position": 23}, {"identifier": "A78", "position": [8, 9], "step": 23, "ordinal_position": 24}, {"identifier": "N60", "position": [9, 9], "step": 24, "ordinal_position": 25}, {"identifier": "M68", "position": [9, 8], "step": 25, "ordinal_position": 26}, {"identifier": "X75", "position": [9, 7], "step": 26, "ordinal_position": 27}, {"identifier": "Y73", "position": [9, 6], "step": 27, "ordinal_position": 28}, {"identifier": "P35", "position": [9, 5], "step": 28, "ordinal_position": 29}, {"identifier": "F30", "position": [9, 4], "step": 29, "ordinal_position": 30}, {"identifier": "A84", "position": [9, 3], "step": 30, "ordinal_position": 31}, {"identifier": "C06", "position": [9, 2], "step": 31, "ordinal_position": 32}, {"identifier": "C21", "position": [9, 1], "step": 32, "ordinal_position": 33}, {"identifier": "G99", "position": [8, 1], "step": 33, "ordinal_position": 34}, {"identifier": "E79", "position": [7, 1], "step": 34, "ordinal_position": 35}, {"identifier": "T86", "position": [7, 2], "step": 35, "ordinal_position": 36}, {"identifier": "I12", "position": [7, 3], "step": 36, "ordinal_position": 37}, {"identifier": "O25", "position": [6, 3], "step": 37, "ordinal_position": 38}, {"identifier": "T40", "position": [5, 3], "step": 38, "ordinal_position": 39}, {"identifier": "V83", "position": [5, 2], "step": 39, "ordinal_position": 40}, {"identifier": "X54", "position": [5, 1], "step": 40, "ordinal_position": 41}, {"identifier": "X68", "position": [4, 1], "step": 41, "ordinal_position": 42}, {"identifier": "H89", "position": [3, 1], "step": 42, "ordinal_position": 43}, {"identifier": "Z93", "position": [2, 1], "step": 43, "ordinal_position": 44}, {"identifier": "J78", "position": [1, 1], "step": 44, "ordinal_position": 45}, {"identifier": "L16", "position": [1, 2], "step": 45, "ordinal_position": 46}, {"identifier": "C63", "position": [1, 3], "step": 46, "ordinal_position": 47}, {"identifier": "X10", "position": [1, 4], "step": 47, "ordinal_position": 48}, {"identifier": "O24", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "N06", "position": [1, 6], "step": 49, "ordinal_position": 50}, {"identifier": "C07", "position": [1, 7], "step": 50, "ordinal_position": 51}, {"identifier": "K94", "position": [1, 8], "step": 51, "ordinal_position": 52}, {"identifier": "M59", "position": [1, 9], "step": 52, "ordinal_position": 53}, {"identifier": "V58", "position": [2, 9], "step": 53, "ordinal_position": 54}, {"identifier": "D07", "position": [3, 9], "step": 54, "ordinal_position": 55}, {"identifier": "A21", "position": [4, 9], "step": 55, "ordinal_position": 56}, {"identifier": "Q60", "position": [5, 9], "step": 56, "ordinal_position": 57}, {"identifier": "W75", "position": [6, 9], "step": 57, "ordinal_position": 58}, {"identifier": "I75", "position": [7, 9], "step": 58, "ordinal_position": 59}, {"identifier": "A78", "position": [8, 9], "step": 59, "ordinal_position": 60}, {"identifier": "N60", "position": [9, 9], "step": 60, "ordinal_position": 61}, {"identifier": "M68", "position": [9, 8], "step": 61, "ordinal_position": 62}, {"identifier": "X75", "position": [9, 7], "step": 62, "ordinal_position": 63}, {"identifier": "Y73", "position": [9, 6], "step": 63, "ordinal_position": 64}, {"identifier": "P35", "position": [9, 5], "step": 64, "ordinal_position": 65}, {"identifier": "F30", "position": [9, 4], "step": 65, "ordinal_position": 66}, {"identifier": "A84", "position": [9, 3], "step": 66, "ordinal_position": 67}, {"identifier": "C06", "position": [9, 2], "step": 67, "ordinal_position": 68}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 68, "direction": "left", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_017.json"}} {"qa_id": "ec6abe295df6457a8407700b20ae8b34", "image_id": "L3-MazeLoop-test_11x11_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y73, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 88th position in this traversal?", "start_object_id": "Y73", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [88], "ordinal_strings": ["88th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "O24", "traversal_path": [{"identifier": "Y73", "position": [9, 6], "step": 0, "ordinal_position": 1}, {"identifier": "X75", "position": [9, 7], "step": 1, "ordinal_position": 2}, {"identifier": "M68", "position": [9, 8], "step": 2, "ordinal_position": 3}, {"identifier": "N60", "position": [9, 9], "step": 3, "ordinal_position": 4}, {"identifier": "A78", "position": [8, 9], "step": 4, "ordinal_position": 5}, {"identifier": "I75", "position": [7, 9], "step": 5, "ordinal_position": 6}, {"identifier": "W75", "position": [6, 9], "step": 6, "ordinal_position": 7}, {"identifier": "Q60", "position": [5, 9], "step": 7, "ordinal_position": 8}, {"identifier": "A21", "position": [4, 9], "step": 8, "ordinal_position": 9}, {"identifier": "D07", "position": [3, 9], "step": 9, "ordinal_position": 10}, {"identifier": "V58", "position": [2, 9], "step": 10, "ordinal_position": 11}, {"identifier": "M59", "position": [1, 9], "step": 11, "ordinal_position": 12}, {"identifier": "K94", "position": [1, 8], "step": 12, "ordinal_position": 13}, {"identifier": "C07", "position": [1, 7], "step": 13, "ordinal_position": 14}, {"identifier": "N06", "position": [1, 6], "step": 14, "ordinal_position": 15}, {"identifier": "O24", "position": [1, 5], "step": 15, "ordinal_position": 16}, {"identifier": "X10", "position": [1, 4], "step": 16, "ordinal_position": 17}, {"identifier": "C63", "position": [1, 3], "step": 17, "ordinal_position": 18}, {"identifier": "L16", "position": [1, 2], "step": 18, "ordinal_position": 19}, {"identifier": "J78", "position": [1, 1], "step": 19, "ordinal_position": 20}, {"identifier": "Z93", "position": [2, 1], "step": 20, "ordinal_position": 21}, {"identifier": "H89", "position": [3, 1], "step": 21, "ordinal_position": 22}, {"identifier": "X68", "position": [4, 1], "step": 22, "ordinal_position": 23}, {"identifier": "X54", "position": [5, 1], "step": 23, "ordinal_position": 24}, {"identifier": "V83", "position": [5, 2], "step": 24, "ordinal_position": 25}, {"identifier": "T40", "position": [5, 3], "step": 25, "ordinal_position": 26}, {"identifier": "O25", "position": [6, 3], "step": 26, "ordinal_position": 27}, {"identifier": "I12", "position": [7, 3], "step": 27, "ordinal_position": 28}, {"identifier": "T86", "position": [7, 2], "step": 28, "ordinal_position": 29}, {"identifier": "E79", "position": [7, 1], "step": 29, "ordinal_position": 30}, {"identifier": "G99", "position": [8, 1], "step": 30, "ordinal_position": 31}, {"identifier": "C21", "position": [9, 1], "step": 31, "ordinal_position": 32}, {"identifier": "C06", "position": [9, 2], "step": 32, "ordinal_position": 33}, {"identifier": "A84", "position": [9, 3], "step": 33, "ordinal_position": 34}, {"identifier": "F30", "position": [9, 4], "step": 34, "ordinal_position": 35}, {"identifier": "P35", "position": [9, 5], "step": 35, "ordinal_position": 36}, {"identifier": "Y73", "position": [9, 6], "step": 36, "ordinal_position": 37}, {"identifier": "X75", "position": [9, 7], "step": 37, "ordinal_position": 38}, {"identifier": "M68", "position": [9, 8], "step": 38, "ordinal_position": 39}, {"identifier": "N60", "position": [9, 9], "step": 39, "ordinal_position": 40}, {"identifier": "A78", "position": [8, 9], "step": 40, "ordinal_position": 41}, {"identifier": "I75", "position": [7, 9], "step": 41, "ordinal_position": 42}, {"identifier": "W75", "position": [6, 9], "step": 42, "ordinal_position": 43}, {"identifier": "Q60", "position": [5, 9], "step": 43, "ordinal_position": 44}, {"identifier": "A21", "position": [4, 9], "step": 44, "ordinal_position": 45}, {"identifier": "D07", "position": [3, 9], "step": 45, "ordinal_position": 46}, {"identifier": "V58", "position": [2, 9], "step": 46, "ordinal_position": 47}, {"identifier": "M59", "position": [1, 9], "step": 47, "ordinal_position": 48}, {"identifier": "K94", "position": [1, 8], "step": 48, "ordinal_position": 49}, {"identifier": "C07", "position": [1, 7], "step": 49, "ordinal_position": 50}, {"identifier": "N06", "position": [1, 6], "step": 50, "ordinal_position": 51}, {"identifier": "O24", "position": [1, 5], "step": 51, "ordinal_position": 52}, {"identifier": "X10", "position": [1, 4], "step": 52, "ordinal_position": 53}, {"identifier": "C63", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "L16", "position": [1, 2], "step": 54, "ordinal_position": 55}, {"identifier": "J78", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "Z93", "position": [2, 1], "step": 56, "ordinal_position": 57}, {"identifier": "H89", "position": [3, 1], "step": 57, "ordinal_position": 58}, {"identifier": "X68", "position": [4, 1], "step": 58, "ordinal_position": 59}, {"identifier": "X54", "position": [5, 1], "step": 59, "ordinal_position": 60}, {"identifier": "V83", "position": [5, 2], "step": 60, "ordinal_position": 61}, {"identifier": "T40", "position": [5, 3], "step": 61, "ordinal_position": 62}, {"identifier": "O25", "position": [6, 3], "step": 62, "ordinal_position": 63}, {"identifier": "I12", "position": [7, 3], "step": 63, "ordinal_position": 64}, {"identifier": "T86", "position": [7, 2], "step": 64, "ordinal_position": 65}, {"identifier": "E79", "position": [7, 1], "step": 65, "ordinal_position": 66}, {"identifier": "G99", "position": [8, 1], "step": 66, "ordinal_position": 67}, {"identifier": "C21", "position": [9, 1], "step": 67, "ordinal_position": 68}, {"identifier": "C06", "position": [9, 2], "step": 68, "ordinal_position": 69}, {"identifier": "A84", "position": [9, 3], "step": 69, "ordinal_position": 70}, {"identifier": "F30", "position": [9, 4], "step": 70, "ordinal_position": 71}, {"identifier": "P35", "position": [9, 5], "step": 71, "ordinal_position": 72}, {"identifier": "Y73", "position": [9, 6], "step": 72, "ordinal_position": 73}, {"identifier": "X75", "position": [9, 7], "step": 73, "ordinal_position": 74}, {"identifier": "M68", "position": [9, 8], "step": 74, "ordinal_position": 75}, {"identifier": "N60", "position": [9, 9], "step": 75, "ordinal_position": 76}, {"identifier": "A78", "position": [8, 9], "step": 76, "ordinal_position": 77}, {"identifier": "I75", "position": [7, 9], "step": 77, "ordinal_position": 78}, {"identifier": "W75", "position": [6, 9], "step": 78, "ordinal_position": 79}, {"identifier": "Q60", "position": [5, 9], "step": 79, "ordinal_position": 80}, {"identifier": "A21", "position": [4, 9], "step": 80, "ordinal_position": 81}, {"identifier": "D07", "position": [3, 9], "step": 81, "ordinal_position": 82}, {"identifier": "V58", "position": [2, 9], "step": 82, "ordinal_position": 83}, {"identifier": "M59", "position": [1, 9], "step": 83, "ordinal_position": 84}, {"identifier": "K94", "position": [1, 8], "step": 84, "ordinal_position": 85}, {"identifier": "C07", "position": [1, 7], "step": 85, "ordinal_position": 86}, {"identifier": "N06", "position": [1, 6], "step": 86, "ordinal_position": 87}, {"identifier": "O24", "position": [1, 5], "step": 87, "ordinal_position": 88}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 88, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_017.json"}} {"qa_id": "bb62252969e64d2eb878e2cb4e9718e6", "image_id": "L3-MazeLoop-test_11x11_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N60, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 69th position in this traversal?", "start_object_id": "N60", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [69], "ordinal_strings": ["69th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q60", "traversal_path": [{"identifier": "N60", "position": [9, 9], "step": 0, "ordinal_position": 1}, {"identifier": "M68", "position": [9, 8], "step": 1, "ordinal_position": 2}, {"identifier": "X75", "position": [9, 7], "step": 2, "ordinal_position": 3}, {"identifier": "Y73", "position": [9, 6], "step": 3, "ordinal_position": 4}, {"identifier": "P35", "position": [9, 5], "step": 4, "ordinal_position": 5}, {"identifier": "F30", "position": [9, 4], "step": 5, "ordinal_position": 6}, {"identifier": "A84", "position": [9, 3], "step": 6, "ordinal_position": 7}, {"identifier": "C06", "position": [9, 2], "step": 7, "ordinal_position": 8}, {"identifier": "C21", "position": [9, 1], "step": 8, "ordinal_position": 9}, {"identifier": "G99", "position": [8, 1], "step": 9, "ordinal_position": 10}, {"identifier": "E79", "position": [7, 1], "step": 10, "ordinal_position": 11}, {"identifier": "T86", "position": [7, 2], "step": 11, "ordinal_position": 12}, {"identifier": "I12", "position": [7, 3], "step": 12, "ordinal_position": 13}, {"identifier": "O25", "position": [6, 3], "step": 13, "ordinal_position": 14}, {"identifier": "T40", "position": [5, 3], "step": 14, "ordinal_position": 15}, {"identifier": "V83", "position": [5, 2], "step": 15, "ordinal_position": 16}, {"identifier": "X54", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "X68", "position": [4, 1], "step": 17, "ordinal_position": 18}, {"identifier": "H89", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "Z93", "position": [2, 1], "step": 19, "ordinal_position": 20}, {"identifier": "J78", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "L16", "position": [1, 2], "step": 21, "ordinal_position": 22}, {"identifier": "C63", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "X10", "position": [1, 4], "step": 23, "ordinal_position": 24}, {"identifier": "O24", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "N06", "position": [1, 6], "step": 25, "ordinal_position": 26}, {"identifier": "C07", "position": [1, 7], "step": 26, "ordinal_position": 27}, {"identifier": "K94", "position": [1, 8], "step": 27, "ordinal_position": 28}, {"identifier": "M59", "position": [1, 9], "step": 28, "ordinal_position": 29}, {"identifier": "V58", "position": [2, 9], "step": 29, "ordinal_position": 30}, {"identifier": "D07", "position": [3, 9], "step": 30, "ordinal_position": 31}, {"identifier": "A21", "position": [4, 9], "step": 31, "ordinal_position": 32}, {"identifier": "Q60", "position": [5, 9], "step": 32, "ordinal_position": 33}, {"identifier": "W75", "position": [6, 9], "step": 33, "ordinal_position": 34}, {"identifier": "I75", "position": [7, 9], "step": 34, "ordinal_position": 35}, {"identifier": "A78", "position": [8, 9], "step": 35, "ordinal_position": 36}, {"identifier": "N60", "position": [9, 9], "step": 36, "ordinal_position": 37}, {"identifier": "M68", "position": [9, 8], "step": 37, "ordinal_position": 38}, {"identifier": "X75", "position": [9, 7], "step": 38, "ordinal_position": 39}, {"identifier": "Y73", "position": [9, 6], "step": 39, "ordinal_position": 40}, {"identifier": "P35", "position": [9, 5], "step": 40, "ordinal_position": 41}, {"identifier": "F30", "position": [9, 4], "step": 41, "ordinal_position": 42}, {"identifier": "A84", "position": [9, 3], "step": 42, "ordinal_position": 43}, {"identifier": "C06", "position": [9, 2], "step": 43, "ordinal_position": 44}, {"identifier": "C21", "position": [9, 1], "step": 44, "ordinal_position": 45}, {"identifier": "G99", "position": [8, 1], "step": 45, "ordinal_position": 46}, {"identifier": "E79", "position": [7, 1], "step": 46, "ordinal_position": 47}, {"identifier": "T86", "position": [7, 2], "step": 47, "ordinal_position": 48}, {"identifier": "I12", "position": [7, 3], "step": 48, "ordinal_position": 49}, {"identifier": "O25", "position": [6, 3], "step": 49, "ordinal_position": 50}, {"identifier": "T40", "position": [5, 3], "step": 50, "ordinal_position": 51}, {"identifier": "V83", "position": [5, 2], "step": 51, "ordinal_position": 52}, {"identifier": "X54", "position": [5, 1], "step": 52, "ordinal_position": 53}, {"identifier": "X68", "position": [4, 1], "step": 53, "ordinal_position": 54}, {"identifier": "H89", "position": [3, 1], "step": 54, "ordinal_position": 55}, {"identifier": "Z93", "position": [2, 1], "step": 55, "ordinal_position": 56}, {"identifier": "J78", "position": [1, 1], "step": 56, "ordinal_position": 57}, {"identifier": "L16", "position": [1, 2], "step": 57, "ordinal_position": 58}, {"identifier": "C63", "position": [1, 3], "step": 58, "ordinal_position": 59}, {"identifier": "X10", "position": [1, 4], "step": 59, "ordinal_position": 60}, {"identifier": "O24", "position": [1, 5], "step": 60, "ordinal_position": 61}, {"identifier": "N06", "position": [1, 6], "step": 61, "ordinal_position": 62}, {"identifier": "C07", "position": [1, 7], "step": 62, "ordinal_position": 63}, {"identifier": "K94", "position": [1, 8], "step": 63, "ordinal_position": 64}, {"identifier": "M59", "position": [1, 9], "step": 64, "ordinal_position": 65}, {"identifier": "V58", "position": [2, 9], "step": 65, "ordinal_position": 66}, {"identifier": "D07", "position": [3, 9], "step": 66, "ordinal_position": 67}, {"identifier": "A21", "position": [4, 9], "step": 67, "ordinal_position": 68}, {"identifier": "Q60", "position": [5, 9], "step": 68, "ordinal_position": 69}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 69, "direction": "up", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_017.json"}} {"qa_id": "df625527c5fc4352993d66c2b969ed48", "image_id": "L3-MazeLoop-test_11x11_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X10, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 92nd position in this traversal?", "start_object_id": "X10", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [92], "ordinal_strings": ["92nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "P35", "traversal_path": [{"identifier": "X10", "position": [1, 4], "step": 0, "ordinal_position": 1}, {"identifier": "C63", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "L16", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "J78", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Z93", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "H89", "position": [3, 1], "step": 5, "ordinal_position": 6}, {"identifier": "X68", "position": [4, 1], "step": 6, "ordinal_position": 7}, {"identifier": "X54", "position": [5, 1], "step": 7, "ordinal_position": 8}, {"identifier": "V83", "position": [5, 2], "step": 8, "ordinal_position": 9}, {"identifier": "T40", "position": [5, 3], "step": 9, "ordinal_position": 10}, {"identifier": "O25", "position": [6, 3], "step": 10, "ordinal_position": 11}, {"identifier": "I12", "position": [7, 3], "step": 11, "ordinal_position": 12}, {"identifier": "T86", "position": [7, 2], "step": 12, "ordinal_position": 13}, {"identifier": "E79", "position": [7, 1], "step": 13, "ordinal_position": 14}, {"identifier": "G99", "position": [8, 1], "step": 14, "ordinal_position": 15}, {"identifier": "C21", "position": [9, 1], "step": 15, "ordinal_position": 16}, {"identifier": "C06", "position": [9, 2], "step": 16, "ordinal_position": 17}, {"identifier": "A84", "position": [9, 3], "step": 17, "ordinal_position": 18}, {"identifier": "F30", "position": [9, 4], "step": 18, "ordinal_position": 19}, {"identifier": "P35", "position": [9, 5], "step": 19, "ordinal_position": 20}, {"identifier": "Y73", "position": [9, 6], "step": 20, "ordinal_position": 21}, {"identifier": "X75", "position": [9, 7], "step": 21, "ordinal_position": 22}, {"identifier": "M68", "position": [9, 8], "step": 22, "ordinal_position": 23}, {"identifier": "N60", "position": [9, 9], "step": 23, "ordinal_position": 24}, {"identifier": "A78", "position": [8, 9], "step": 24, "ordinal_position": 25}, {"identifier": "I75", "position": [7, 9], "step": 25, "ordinal_position": 26}, {"identifier": "W75", "position": [6, 9], "step": 26, "ordinal_position": 27}, {"identifier": "Q60", "position": [5, 9], "step": 27, "ordinal_position": 28}, {"identifier": "A21", "position": [4, 9], "step": 28, "ordinal_position": 29}, {"identifier": "D07", "position": [3, 9], "step": 29, "ordinal_position": 30}, {"identifier": "V58", "position": [2, 9], "step": 30, "ordinal_position": 31}, {"identifier": "M59", "position": [1, 9], "step": 31, "ordinal_position": 32}, {"identifier": "K94", "position": [1, 8], "step": 32, "ordinal_position": 33}, {"identifier": "C07", "position": [1, 7], "step": 33, "ordinal_position": 34}, {"identifier": "N06", "position": [1, 6], "step": 34, "ordinal_position": 35}, {"identifier": "O24", "position": [1, 5], "step": 35, "ordinal_position": 36}, {"identifier": "X10", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "C63", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "L16", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "J78", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "Z93", "position": [2, 1], "step": 40, "ordinal_position": 41}, {"identifier": "H89", "position": [3, 1], "step": 41, "ordinal_position": 42}, {"identifier": "X68", "position": [4, 1], "step": 42, "ordinal_position": 43}, {"identifier": "X54", "position": [5, 1], "step": 43, "ordinal_position": 44}, {"identifier": "V83", "position": [5, 2], "step": 44, "ordinal_position": 45}, {"identifier": "T40", "position": [5, 3], "step": 45, "ordinal_position": 46}, {"identifier": "O25", "position": [6, 3], "step": 46, "ordinal_position": 47}, {"identifier": "I12", "position": [7, 3], "step": 47, "ordinal_position": 48}, {"identifier": "T86", "position": [7, 2], "step": 48, "ordinal_position": 49}, {"identifier": "E79", "position": [7, 1], "step": 49, "ordinal_position": 50}, {"identifier": "G99", "position": [8, 1], "step": 50, "ordinal_position": 51}, {"identifier": "C21", "position": [9, 1], "step": 51, "ordinal_position": 52}, {"identifier": "C06", "position": [9, 2], "step": 52, "ordinal_position": 53}, {"identifier": "A84", "position": [9, 3], "step": 53, "ordinal_position": 54}, {"identifier": "F30", "position": [9, 4], "step": 54, "ordinal_position": 55}, {"identifier": "P35", "position": [9, 5], "step": 55, "ordinal_position": 56}, {"identifier": "Y73", "position": [9, 6], "step": 56, "ordinal_position": 57}, {"identifier": "X75", "position": [9, 7], "step": 57, "ordinal_position": 58}, {"identifier": "M68", "position": [9, 8], "step": 58, "ordinal_position": 59}, {"identifier": "N60", "position": [9, 9], "step": 59, "ordinal_position": 60}, {"identifier": "A78", "position": [8, 9], "step": 60, "ordinal_position": 61}, {"identifier": "I75", "position": [7, 9], "step": 61, "ordinal_position": 62}, {"identifier": "W75", "position": [6, 9], "step": 62, "ordinal_position": 63}, {"identifier": "Q60", "position": [5, 9], "step": 63, "ordinal_position": 64}, {"identifier": "A21", "position": [4, 9], "step": 64, "ordinal_position": 65}, {"identifier": "D07", "position": [3, 9], "step": 65, "ordinal_position": 66}, {"identifier": "V58", "position": [2, 9], "step": 66, "ordinal_position": 67}, {"identifier": "M59", "position": [1, 9], "step": 67, "ordinal_position": 68}, {"identifier": "K94", "position": [1, 8], "step": 68, "ordinal_position": 69}, {"identifier": "C07", "position": [1, 7], "step": 69, "ordinal_position": 70}, {"identifier": "N06", "position": [1, 6], "step": 70, "ordinal_position": 71}, {"identifier": "O24", "position": [1, 5], "step": 71, "ordinal_position": 72}, {"identifier": "X10", "position": [1, 4], "step": 72, "ordinal_position": 73}, {"identifier": "C63", "position": [1, 3], "step": 73, "ordinal_position": 74}, {"identifier": "L16", "position": [1, 2], "step": 74, "ordinal_position": 75}, {"identifier": "J78", "position": [1, 1], "step": 75, "ordinal_position": 76}, {"identifier": "Z93", "position": [2, 1], "step": 76, "ordinal_position": 77}, {"identifier": "H89", "position": [3, 1], "step": 77, "ordinal_position": 78}, {"identifier": "X68", "position": [4, 1], "step": 78, "ordinal_position": 79}, {"identifier": "X54", "position": [5, 1], "step": 79, "ordinal_position": 80}, {"identifier": "V83", "position": [5, 2], "step": 80, "ordinal_position": 81}, {"identifier": "T40", "position": [5, 3], "step": 81, "ordinal_position": 82}, {"identifier": "O25", "position": [6, 3], "step": 82, "ordinal_position": 83}, {"identifier": "I12", "position": [7, 3], "step": 83, "ordinal_position": 84}, {"identifier": "T86", "position": [7, 2], "step": 84, "ordinal_position": 85}, {"identifier": "E79", "position": [7, 1], "step": 85, "ordinal_position": 86}, {"identifier": "G99", "position": [8, 1], "step": 86, "ordinal_position": 87}, {"identifier": "C21", "position": [9, 1], "step": 87, "ordinal_position": 88}, {"identifier": "C06", "position": [9, 2], "step": 88, "ordinal_position": 89}, {"identifier": "A84", "position": [9, 3], "step": 89, "ordinal_position": 90}, {"identifier": "F30", "position": [9, 4], "step": 90, "ordinal_position": 91}, {"identifier": "P35", "position": [9, 5], "step": 91, "ordinal_position": 92}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 92, "direction": "up", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_017.json"}} {"qa_id": "67e69a9eee9645bdbbcd4be568532a72", "image_id": "L3-MazeLoop-test_11x11_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z43, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 252nd position in this traversal?", "start_object_id": "Z43", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [252], "ordinal_strings": ["252nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "T86", "traversal_path": [{"identifier": "Z43", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "T13", "position": [4, 5], "step": 1, "ordinal_position": 2}, {"identifier": "N72", "position": [5, 5], "step": 2, "ordinal_position": 3}, {"identifier": "V51", "position": [6, 5], "step": 3, "ordinal_position": 4}, {"identifier": "W67", "position": [7, 5], "step": 4, "ordinal_position": 5}, {"identifier": "W80", "position": [8, 5], "step": 5, "ordinal_position": 6}, {"identifier": "P35", "position": [9, 5], "step": 6, "ordinal_position": 7}, {"identifier": "Y73", "position": [9, 6], "step": 7, "ordinal_position": 8}, {"identifier": "X75", "position": [9, 7], "step": 8, "ordinal_position": 9}, {"identifier": "M68", "position": [9, 8], "step": 9, "ordinal_position": 10}, {"identifier": "N60", "position": [9, 9], "step": 10, "ordinal_position": 11}, {"identifier": "A78", "position": [8, 9], "step": 11, "ordinal_position": 12}, {"identifier": "I75", "position": [7, 9], "step": 12, "ordinal_position": 13}, {"identifier": "W75", "position": [6, 9], "step": 13, "ordinal_position": 14}, {"identifier": "Q60", "position": [5, 9], "step": 14, "ordinal_position": 15}, {"identifier": "A21", "position": [4, 9], "step": 15, "ordinal_position": 16}, {"identifier": "D07", "position": [3, 9], "step": 16, "ordinal_position": 17}, {"identifier": "V58", "position": [2, 9], "step": 17, "ordinal_position": 18}, {"identifier": "M59", "position": [1, 9], "step": 18, "ordinal_position": 19}, {"identifier": "K94", "position": [1, 8], "step": 19, "ordinal_position": 20}, {"identifier": "C07", "position": [1, 7], "step": 20, "ordinal_position": 21}, {"identifier": "N06", "position": [1, 6], "step": 21, "ordinal_position": 22}, {"identifier": "O24", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "X10", "position": [1, 4], "step": 23, "ordinal_position": 24}, {"identifier": "C63", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "L16", "position": [1, 2], "step": 25, "ordinal_position": 26}, {"identifier": "J78", "position": [1, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Z93", "position": [2, 1], "step": 27, "ordinal_position": 28}, {"identifier": "H89", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "X68", "position": [4, 1], "step": 29, "ordinal_position": 30}, {"identifier": "X54", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "V83", "position": [5, 2], "step": 31, "ordinal_position": 32}, {"identifier": "T40", "position": [5, 3], "step": 32, "ordinal_position": 33}, {"identifier": "O25", "position": [6, 3], "step": 33, "ordinal_position": 34}, {"identifier": "I12", "position": [7, 3], "step": 34, "ordinal_position": 35}, {"identifier": "T86", "position": [7, 2], "step": 35, "ordinal_position": 36}, {"identifier": "E79", "position": [7, 1], "step": 36, "ordinal_position": 37}, {"identifier": "G99", "position": [8, 1], "step": 37, "ordinal_position": 38}, {"identifier": "C21", "position": [9, 1], "step": 38, "ordinal_position": 39}, {"identifier": "C06", "position": [9, 2], "step": 39, "ordinal_position": 40}, {"identifier": "A84", "position": [9, 3], "step": 40, "ordinal_position": 41}, {"identifier": "F30", "position": [9, 4], "step": 41, "ordinal_position": 42}, {"identifier": "P35", "position": [9, 5], "step": 42, "ordinal_position": 43}, {"identifier": "Y73", "position": [9, 6], "step": 43, "ordinal_position": 44}, {"identifier": "X75", "position": [9, 7], "step": 44, "ordinal_position": 45}, {"identifier": "M68", "position": [9, 8], "step": 45, "ordinal_position": 46}, {"identifier": "N60", "position": [9, 9], "step": 46, "ordinal_position": 47}, {"identifier": "A78", "position": [8, 9], "step": 47, "ordinal_position": 48}, {"identifier": "I75", "position": [7, 9], "step": 48, "ordinal_position": 49}, {"identifier": "W75", "position": [6, 9], "step": 49, "ordinal_position": 50}, {"identifier": "Q60", "position": [5, 9], "step": 50, "ordinal_position": 51}, {"identifier": "A21", "position": [4, 9], "step": 51, "ordinal_position": 52}, {"identifier": "D07", "position": [3, 9], "step": 52, "ordinal_position": 53}, {"identifier": "V58", "position": [2, 9], "step": 53, "ordinal_position": 54}, {"identifier": "M59", "position": [1, 9], "step": 54, "ordinal_position": 55}, {"identifier": "K94", "position": [1, 8], "step": 55, "ordinal_position": 56}, {"identifier": "C07", "position": [1, 7], "step": 56, "ordinal_position": 57}, {"identifier": "N06", "position": [1, 6], "step": 57, "ordinal_position": 58}, {"identifier": "O24", "position": [1, 5], "step": 58, "ordinal_position": 59}, {"identifier": "X10", "position": [1, 4], "step": 59, "ordinal_position": 60}, {"identifier": "C63", "position": [1, 3], "step": 60, "ordinal_position": 61}, {"identifier": "L16", "position": [1, 2], "step": 61, "ordinal_position": 62}, {"identifier": "J78", "position": [1, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Z93", "position": [2, 1], "step": 63, "ordinal_position": 64}, {"identifier": "H89", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "X68", "position": [4, 1], "step": 65, "ordinal_position": 66}, {"identifier": "X54", "position": [5, 1], "step": 66, "ordinal_position": 67}, {"identifier": "V83", "position": [5, 2], "step": 67, "ordinal_position": 68}, {"identifier": "T40", "position": [5, 3], "step": 68, "ordinal_position": 69}, {"identifier": "O25", "position": [6, 3], "step": 69, "ordinal_position": 70}, {"identifier": "I12", "position": [7, 3], "step": 70, "ordinal_position": 71}, {"identifier": "T86", "position": [7, 2], "step": 71, "ordinal_position": 72}, {"identifier": "E79", "position": [7, 1], "step": 72, "ordinal_position": 73}, {"identifier": "G99", "position": [8, 1], "step": 73, "ordinal_position": 74}, {"identifier": "C21", "position": [9, 1], "step": 74, "ordinal_position": 75}, {"identifier": "C06", "position": [9, 2], "step": 75, "ordinal_position": 76}, {"identifier": "A84", "position": [9, 3], "step": 76, "ordinal_position": 77}, {"identifier": "F30", "position": [9, 4], "step": 77, "ordinal_position": 78}, {"identifier": "P35", "position": [9, 5], "step": 78, "ordinal_position": 79}, {"identifier": "Y73", "position": [9, 6], "step": 79, "ordinal_position": 80}, {"identifier": "X75", "position": [9, 7], "step": 80, "ordinal_position": 81}, {"identifier": "M68", "position": [9, 8], "step": 81, "ordinal_position": 82}, {"identifier": "N60", "position": [9, 9], "step": 82, "ordinal_position": 83}, {"identifier": "A78", "position": [8, 9], "step": 83, "ordinal_position": 84}, {"identifier": "I75", "position": [7, 9], "step": 84, "ordinal_position": 85}, {"identifier": "W75", "position": [6, 9], "step": 85, "ordinal_position": 86}, {"identifier": "Q60", "position": [5, 9], "step": 86, "ordinal_position": 87}, {"identifier": "A21", "position": [4, 9], "step": 87, "ordinal_position": 88}, {"identifier": "D07", "position": [3, 9], "step": 88, "ordinal_position": 89}, {"identifier": "V58", "position": [2, 9], "step": 89, "ordinal_position": 90}, {"identifier": "M59", "position": [1, 9], "step": 90, "ordinal_position": 91}, {"identifier": "K94", "position": [1, 8], "step": 91, "ordinal_position": 92}, {"identifier": "C07", "position": [1, 7], "step": 92, "ordinal_position": 93}, {"identifier": "N06", "position": [1, 6], "step": 93, "ordinal_position": 94}, {"identifier": "O24", "position": [1, 5], "step": 94, "ordinal_position": 95}, {"identifier": "X10", "position": [1, 4], "step": 95, "ordinal_position": 96}, {"identifier": "C63", "position": [1, 3], "step": 96, "ordinal_position": 97}, {"identifier": "L16", "position": [1, 2], "step": 97, "ordinal_position": 98}, {"identifier": "J78", "position": [1, 1], "step": 98, "ordinal_position": 99}, {"identifier": "Z93", "position": [2, 1], "step": 99, "ordinal_position": 100}, {"identifier": "H89", "position": [3, 1], "step": 100, "ordinal_position": 101}, {"identifier": "X68", "position": [4, 1], "step": 101, "ordinal_position": 102}, {"identifier": "X54", "position": [5, 1], "step": 102, "ordinal_position": 103}, {"identifier": "V83", "position": [5, 2], "step": 103, "ordinal_position": 104}, {"identifier": "T40", "position": [5, 3], "step": 104, "ordinal_position": 105}, {"identifier": "O25", "position": [6, 3], "step": 105, "ordinal_position": 106}, {"identifier": "I12", "position": [7, 3], "step": 106, "ordinal_position": 107}, {"identifier": "T86", "position": [7, 2], "step": 107, "ordinal_position": 108}, {"identifier": "E79", "position": [7, 1], "step": 108, "ordinal_position": 109}, {"identifier": "G99", "position": [8, 1], "step": 109, "ordinal_position": 110}, {"identifier": "C21", "position": [9, 1], "step": 110, "ordinal_position": 111}, {"identifier": "C06", "position": [9, 2], "step": 111, "ordinal_position": 112}, {"identifier": "A84", "position": [9, 3], "step": 112, "ordinal_position": 113}, {"identifier": "F30", "position": [9, 4], "step": 113, "ordinal_position": 114}, {"identifier": "P35", "position": [9, 5], "step": 114, "ordinal_position": 115}, {"identifier": "Y73", "position": [9, 6], "step": 115, "ordinal_position": 116}, {"identifier": "X75", "position": [9, 7], "step": 116, "ordinal_position": 117}, {"identifier": "M68", "position": [9, 8], "step": 117, "ordinal_position": 118}, {"identifier": "N60", "position": [9, 9], "step": 118, "ordinal_position": 119}, {"identifier": "A78", "position": [8, 9], "step": 119, "ordinal_position": 120}, {"identifier": "I75", "position": [7, 9], "step": 120, "ordinal_position": 121}, {"identifier": "W75", "position": [6, 9], "step": 121, "ordinal_position": 122}, {"identifier": "Q60", "position": [5, 9], "step": 122, "ordinal_position": 123}, {"identifier": "A21", "position": [4, 9], "step": 123, "ordinal_position": 124}, {"identifier": "D07", "position": [3, 9], "step": 124, "ordinal_position": 125}, {"identifier": "V58", "position": [2, 9], "step": 125, "ordinal_position": 126}, {"identifier": "M59", "position": [1, 9], "step": 126, "ordinal_position": 127}, {"identifier": "K94", "position": [1, 8], "step": 127, "ordinal_position": 128}, {"identifier": "C07", "position": [1, 7], "step": 128, "ordinal_position": 129}, {"identifier": "N06", "position": [1, 6], "step": 129, "ordinal_position": 130}, {"identifier": "O24", "position": [1, 5], "step": 130, "ordinal_position": 131}, {"identifier": "X10", "position": [1, 4], "step": 131, "ordinal_position": 132}, {"identifier": "C63", "position": [1, 3], "step": 132, "ordinal_position": 133}, {"identifier": "L16", "position": [1, 2], "step": 133, "ordinal_position": 134}, {"identifier": "J78", "position": [1, 1], "step": 134, "ordinal_position": 135}, {"identifier": "Z93", "position": [2, 1], "step": 135, "ordinal_position": 136}, {"identifier": "H89", "position": [3, 1], "step": 136, "ordinal_position": 137}, {"identifier": "X68", "position": [4, 1], "step": 137, "ordinal_position": 138}, {"identifier": "X54", "position": [5, 1], "step": 138, "ordinal_position": 139}, {"identifier": "V83", "position": [5, 2], "step": 139, "ordinal_position": 140}, {"identifier": "T40", "position": [5, 3], "step": 140, "ordinal_position": 141}, {"identifier": "O25", "position": [6, 3], "step": 141, "ordinal_position": 142}, {"identifier": "I12", "position": [7, 3], "step": 142, "ordinal_position": 143}, {"identifier": "T86", "position": [7, 2], "step": 143, "ordinal_position": 144}, {"identifier": "E79", "position": [7, 1], "step": 144, "ordinal_position": 145}, {"identifier": "G99", "position": [8, 1], "step": 145, "ordinal_position": 146}, {"identifier": "C21", "position": [9, 1], "step": 146, "ordinal_position": 147}, {"identifier": "C06", "position": [9, 2], "step": 147, "ordinal_position": 148}, {"identifier": "A84", "position": [9, 3], "step": 148, "ordinal_position": 149}, {"identifier": "F30", "position": [9, 4], "step": 149, "ordinal_position": 150}, {"identifier": "P35", "position": [9, 5], "step": 150, "ordinal_position": 151}, {"identifier": "Y73", "position": [9, 6], "step": 151, "ordinal_position": 152}, {"identifier": "X75", "position": [9, 7], "step": 152, "ordinal_position": 153}, {"identifier": "M68", "position": [9, 8], "step": 153, "ordinal_position": 154}, {"identifier": "N60", "position": [9, 9], "step": 154, "ordinal_position": 155}, {"identifier": "A78", "position": [8, 9], "step": 155, "ordinal_position": 156}, {"identifier": "I75", "position": [7, 9], "step": 156, "ordinal_position": 157}, {"identifier": "W75", "position": [6, 9], "step": 157, "ordinal_position": 158}, {"identifier": "Q60", "position": [5, 9], "step": 158, "ordinal_position": 159}, {"identifier": "A21", "position": [4, 9], "step": 159, "ordinal_position": 160}, {"identifier": "D07", "position": [3, 9], "step": 160, "ordinal_position": 161}, {"identifier": "V58", "position": [2, 9], "step": 161, "ordinal_position": 162}, {"identifier": "M59", "position": [1, 9], "step": 162, "ordinal_position": 163}, {"identifier": "K94", "position": [1, 8], "step": 163, "ordinal_position": 164}, {"identifier": "C07", "position": [1, 7], "step": 164, "ordinal_position": 165}, {"identifier": "N06", "position": [1, 6], "step": 165, "ordinal_position": 166}, {"identifier": "O24", "position": [1, 5], "step": 166, "ordinal_position": 167}, {"identifier": "X10", "position": [1, 4], "step": 167, "ordinal_position": 168}, {"identifier": "C63", "position": [1, 3], "step": 168, "ordinal_position": 169}, {"identifier": "L16", "position": [1, 2], "step": 169, "ordinal_position": 170}, {"identifier": "J78", "position": [1, 1], "step": 170, "ordinal_position": 171}, {"identifier": "Z93", "position": [2, 1], "step": 171, "ordinal_position": 172}, {"identifier": "H89", "position": [3, 1], "step": 172, "ordinal_position": 173}, {"identifier": "X68", "position": [4, 1], "step": 173, "ordinal_position": 174}, {"identifier": "X54", "position": [5, 1], "step": 174, "ordinal_position": 175}, {"identifier": "V83", "position": [5, 2], "step": 175, "ordinal_position": 176}, {"identifier": "T40", "position": [5, 3], "step": 176, "ordinal_position": 177}, {"identifier": "O25", "position": [6, 3], "step": 177, "ordinal_position": 178}, {"identifier": "I12", "position": [7, 3], "step": 178, "ordinal_position": 179}, {"identifier": "T86", "position": [7, 2], "step": 179, "ordinal_position": 180}, {"identifier": "E79", "position": [7, 1], "step": 180, "ordinal_position": 181}, {"identifier": "G99", "position": [8, 1], "step": 181, "ordinal_position": 182}, {"identifier": "C21", "position": [9, 1], "step": 182, "ordinal_position": 183}, {"identifier": "C06", "position": [9, 2], "step": 183, "ordinal_position": 184}, {"identifier": "A84", "position": [9, 3], "step": 184, "ordinal_position": 185}, {"identifier": "F30", "position": [9, 4], "step": 185, "ordinal_position": 186}, {"identifier": "P35", "position": [9, 5], "step": 186, "ordinal_position": 187}, {"identifier": "Y73", "position": [9, 6], "step": 187, "ordinal_position": 188}, {"identifier": "X75", "position": [9, 7], "step": 188, "ordinal_position": 189}, {"identifier": "M68", "position": [9, 8], "step": 189, "ordinal_position": 190}, {"identifier": "N60", "position": [9, 9], "step": 190, "ordinal_position": 191}, {"identifier": "A78", "position": [8, 9], "step": 191, "ordinal_position": 192}, {"identifier": "I75", "position": [7, 9], "step": 192, "ordinal_position": 193}, {"identifier": "W75", "position": [6, 9], "step": 193, "ordinal_position": 194}, {"identifier": "Q60", "position": [5, 9], "step": 194, "ordinal_position": 195}, {"identifier": "A21", "position": [4, 9], "step": 195, "ordinal_position": 196}, {"identifier": "D07", "position": [3, 9], "step": 196, "ordinal_position": 197}, {"identifier": "V58", "position": [2, 9], "step": 197, "ordinal_position": 198}, {"identifier": "M59", "position": [1, 9], "step": 198, "ordinal_position": 199}, {"identifier": "K94", "position": [1, 8], "step": 199, "ordinal_position": 200}, {"identifier": "C07", "position": [1, 7], "step": 200, "ordinal_position": 201}, {"identifier": "N06", "position": [1, 6], "step": 201, "ordinal_position": 202}, {"identifier": "O24", "position": [1, 5], "step": 202, "ordinal_position": 203}, {"identifier": "X10", "position": [1, 4], "step": 203, "ordinal_position": 204}, {"identifier": "C63", "position": [1, 3], "step": 204, "ordinal_position": 205}, {"identifier": "L16", "position": [1, 2], "step": 205, "ordinal_position": 206}, {"identifier": "J78", "position": [1, 1], "step": 206, "ordinal_position": 207}, {"identifier": "Z93", "position": [2, 1], "step": 207, "ordinal_position": 208}, {"identifier": "H89", "position": [3, 1], "step": 208, "ordinal_position": 209}, {"identifier": "X68", "position": [4, 1], "step": 209, "ordinal_position": 210}, {"identifier": "X54", "position": [5, 1], "step": 210, "ordinal_position": 211}, {"identifier": "V83", "position": [5, 2], "step": 211, "ordinal_position": 212}, {"identifier": "T40", "position": [5, 3], "step": 212, "ordinal_position": 213}, {"identifier": "O25", "position": [6, 3], "step": 213, "ordinal_position": 214}, {"identifier": "I12", "position": [7, 3], "step": 214, "ordinal_position": 215}, {"identifier": "T86", "position": [7, 2], "step": 215, "ordinal_position": 216}, {"identifier": "E79", "position": [7, 1], "step": 216, "ordinal_position": 217}, {"identifier": "G99", "position": [8, 1], "step": 217, "ordinal_position": 218}, {"identifier": "C21", "position": [9, 1], "step": 218, "ordinal_position": 219}, {"identifier": "C06", "position": [9, 2], "step": 219, "ordinal_position": 220}, {"identifier": "A84", "position": [9, 3], "step": 220, "ordinal_position": 221}, {"identifier": "F30", "position": [9, 4], "step": 221, "ordinal_position": 222}, {"identifier": "P35", "position": [9, 5], "step": 222, "ordinal_position": 223}, {"identifier": "Y73", "position": [9, 6], "step": 223, "ordinal_position": 224}, {"identifier": "X75", "position": [9, 7], "step": 224, "ordinal_position": 225}, {"identifier": "M68", "position": [9, 8], "step": 225, "ordinal_position": 226}, {"identifier": "N60", "position": [9, 9], "step": 226, "ordinal_position": 227}, {"identifier": "A78", "position": [8, 9], "step": 227, "ordinal_position": 228}, {"identifier": "I75", "position": [7, 9], "step": 228, "ordinal_position": 229}, {"identifier": "W75", "position": [6, 9], "step": 229, "ordinal_position": 230}, {"identifier": "Q60", "position": [5, 9], "step": 230, "ordinal_position": 231}, {"identifier": "A21", "position": [4, 9], "step": 231, "ordinal_position": 232}, {"identifier": "D07", "position": [3, 9], "step": 232, "ordinal_position": 233}, {"identifier": "V58", "position": [2, 9], "step": 233, "ordinal_position": 234}, {"identifier": "M59", "position": [1, 9], "step": 234, "ordinal_position": 235}, {"identifier": "K94", "position": [1, 8], "step": 235, "ordinal_position": 236}, {"identifier": "C07", "position": [1, 7], "step": 236, "ordinal_position": 237}, {"identifier": "N06", "position": [1, 6], "step": 237, "ordinal_position": 238}, {"identifier": "O24", "position": [1, 5], "step": 238, "ordinal_position": 239}, {"identifier": "X10", "position": [1, 4], "step": 239, "ordinal_position": 240}, {"identifier": "C63", "position": [1, 3], "step": 240, "ordinal_position": 241}, {"identifier": "L16", "position": [1, 2], "step": 241, "ordinal_position": 242}, {"identifier": "J78", "position": [1, 1], "step": 242, "ordinal_position": 243}, {"identifier": "Z93", "position": [2, 1], "step": 243, "ordinal_position": 244}, {"identifier": "H89", "position": [3, 1], "step": 244, "ordinal_position": 245}, {"identifier": "X68", "position": [4, 1], "step": 245, "ordinal_position": 246}, {"identifier": "X54", "position": [5, 1], "step": 246, "ordinal_position": 247}, {"identifier": "V83", "position": [5, 2], "step": 247, "ordinal_position": 248}, {"identifier": "T40", "position": [5, 3], "step": 248, "ordinal_position": 249}, {"identifier": "O25", "position": [6, 3], "step": 249, "ordinal_position": 250}, {"identifier": "I12", "position": [7, 3], "step": 250, "ordinal_position": 251}, {"identifier": "T86", "position": [7, 2], "step": 251, "ordinal_position": 252}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 252, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_017.json"}} {"qa_id": "399d995114cc4348800896f07f69885d", "image_id": "L3-MazeLoop-test_11x11_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V83, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 110th position in this traversal?", "start_object_id": "V83", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [110], "ordinal_strings": ["110th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "T40", "traversal_path": [{"identifier": "V83", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "T40", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "O25", "position": [6, 3], "step": 2, "ordinal_position": 3}, {"identifier": "I12", "position": [7, 3], "step": 3, "ordinal_position": 4}, {"identifier": "T86", "position": [7, 2], "step": 4, "ordinal_position": 5}, {"identifier": "E79", "position": [7, 1], "step": 5, "ordinal_position": 6}, {"identifier": "G99", "position": [8, 1], "step": 6, "ordinal_position": 7}, {"identifier": "C21", "position": [9, 1], "step": 7, "ordinal_position": 8}, {"identifier": "C06", "position": [9, 2], "step": 8, "ordinal_position": 9}, {"identifier": "A84", "position": [9, 3], "step": 9, "ordinal_position": 10}, {"identifier": "F30", "position": [9, 4], "step": 10, "ordinal_position": 11}, {"identifier": "P35", "position": [9, 5], "step": 11, "ordinal_position": 12}, {"identifier": "Y73", "position": [9, 6], "step": 12, "ordinal_position": 13}, {"identifier": "X75", "position": [9, 7], "step": 13, "ordinal_position": 14}, {"identifier": "M68", "position": [9, 8], "step": 14, "ordinal_position": 15}, {"identifier": "N60", "position": [9, 9], "step": 15, "ordinal_position": 16}, {"identifier": "A78", "position": [8, 9], "step": 16, "ordinal_position": 17}, {"identifier": "I75", "position": [7, 9], "step": 17, "ordinal_position": 18}, {"identifier": "W75", "position": [6, 9], "step": 18, "ordinal_position": 19}, {"identifier": "Q60", "position": [5, 9], "step": 19, "ordinal_position": 20}, {"identifier": "A21", "position": [4, 9], "step": 20, "ordinal_position": 21}, {"identifier": "D07", "position": [3, 9], "step": 21, "ordinal_position": 22}, {"identifier": "V58", "position": [2, 9], "step": 22, "ordinal_position": 23}, {"identifier": "M59", "position": [1, 9], "step": 23, "ordinal_position": 24}, {"identifier": "K94", "position": [1, 8], "step": 24, "ordinal_position": 25}, {"identifier": "C07", "position": [1, 7], "step": 25, "ordinal_position": 26}, {"identifier": "N06", "position": [1, 6], "step": 26, "ordinal_position": 27}, {"identifier": "O24", "position": [1, 5], "step": 27, "ordinal_position": 28}, {"identifier": "X10", "position": [1, 4], "step": 28, "ordinal_position": 29}, {"identifier": "C63", "position": [1, 3], "step": 29, "ordinal_position": 30}, {"identifier": "L16", "position": [1, 2], "step": 30, "ordinal_position": 31}, {"identifier": "J78", "position": [1, 1], "step": 31, "ordinal_position": 32}, {"identifier": "Z93", "position": [2, 1], "step": 32, "ordinal_position": 33}, {"identifier": "H89", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "X68", "position": [4, 1], "step": 34, "ordinal_position": 35}, {"identifier": "X54", "position": [5, 1], "step": 35, "ordinal_position": 36}, {"identifier": "V83", "position": [5, 2], "step": 36, "ordinal_position": 37}, {"identifier": "T40", "position": [5, 3], "step": 37, "ordinal_position": 38}, {"identifier": "O25", "position": [6, 3], "step": 38, "ordinal_position": 39}, {"identifier": "I12", "position": [7, 3], "step": 39, "ordinal_position": 40}, {"identifier": "T86", "position": [7, 2], "step": 40, "ordinal_position": 41}, {"identifier": "E79", "position": [7, 1], "step": 41, "ordinal_position": 42}, {"identifier": "G99", "position": [8, 1], "step": 42, "ordinal_position": 43}, {"identifier": "C21", "position": [9, 1], "step": 43, "ordinal_position": 44}, {"identifier": "C06", "position": [9, 2], "step": 44, "ordinal_position": 45}, {"identifier": "A84", "position": [9, 3], "step": 45, "ordinal_position": 46}, {"identifier": "F30", "position": [9, 4], "step": 46, "ordinal_position": 47}, {"identifier": "P35", "position": [9, 5], "step": 47, "ordinal_position": 48}, {"identifier": "Y73", "position": [9, 6], "step": 48, "ordinal_position": 49}, {"identifier": "X75", "position": [9, 7], "step": 49, "ordinal_position": 50}, {"identifier": "M68", "position": [9, 8], "step": 50, "ordinal_position": 51}, {"identifier": "N60", "position": [9, 9], "step": 51, "ordinal_position": 52}, {"identifier": "A78", "position": [8, 9], "step": 52, "ordinal_position": 53}, {"identifier": "I75", "position": [7, 9], "step": 53, "ordinal_position": 54}, {"identifier": "W75", "position": [6, 9], "step": 54, "ordinal_position": 55}, {"identifier": "Q60", "position": [5, 9], "step": 55, "ordinal_position": 56}, {"identifier": "A21", "position": [4, 9], "step": 56, "ordinal_position": 57}, {"identifier": "D07", "position": [3, 9], "step": 57, "ordinal_position": 58}, {"identifier": "V58", "position": [2, 9], "step": 58, "ordinal_position": 59}, {"identifier": "M59", "position": [1, 9], "step": 59, "ordinal_position": 60}, {"identifier": "K94", "position": [1, 8], "step": 60, "ordinal_position": 61}, {"identifier": "C07", "position": [1, 7], "step": 61, "ordinal_position": 62}, {"identifier": "N06", "position": [1, 6], "step": 62, "ordinal_position": 63}, {"identifier": "O24", "position": [1, 5], "step": 63, "ordinal_position": 64}, {"identifier": "X10", "position": [1, 4], "step": 64, "ordinal_position": 65}, {"identifier": "C63", "position": [1, 3], "step": 65, "ordinal_position": 66}, {"identifier": "L16", "position": [1, 2], "step": 66, "ordinal_position": 67}, {"identifier": "J78", "position": [1, 1], "step": 67, "ordinal_position": 68}, {"identifier": "Z93", "position": [2, 1], "step": 68, "ordinal_position": 69}, {"identifier": "H89", "position": [3, 1], "step": 69, "ordinal_position": 70}, {"identifier": "X68", "position": [4, 1], "step": 70, "ordinal_position": 71}, {"identifier": "X54", "position": [5, 1], "step": 71, "ordinal_position": 72}, {"identifier": "V83", "position": [5, 2], "step": 72, "ordinal_position": 73}, {"identifier": "T40", "position": [5, 3], "step": 73, "ordinal_position": 74}, {"identifier": "O25", "position": [6, 3], "step": 74, "ordinal_position": 75}, {"identifier": "I12", "position": [7, 3], "step": 75, "ordinal_position": 76}, {"identifier": "T86", "position": [7, 2], "step": 76, "ordinal_position": 77}, {"identifier": "E79", "position": [7, 1], "step": 77, "ordinal_position": 78}, {"identifier": "G99", "position": [8, 1], "step": 78, "ordinal_position": 79}, {"identifier": "C21", "position": [9, 1], "step": 79, "ordinal_position": 80}, {"identifier": "C06", "position": [9, 2], "step": 80, "ordinal_position": 81}, {"identifier": "A84", "position": [9, 3], "step": 81, "ordinal_position": 82}, {"identifier": "F30", "position": [9, 4], "step": 82, "ordinal_position": 83}, {"identifier": "P35", "position": [9, 5], "step": 83, "ordinal_position": 84}, {"identifier": "Y73", "position": [9, 6], "step": 84, "ordinal_position": 85}, {"identifier": "X75", "position": [9, 7], "step": 85, "ordinal_position": 86}, {"identifier": "M68", "position": [9, 8], "step": 86, "ordinal_position": 87}, {"identifier": "N60", "position": [9, 9], "step": 87, "ordinal_position": 88}, {"identifier": "A78", "position": [8, 9], "step": 88, "ordinal_position": 89}, {"identifier": "I75", "position": [7, 9], "step": 89, "ordinal_position": 90}, {"identifier": "W75", "position": [6, 9], "step": 90, "ordinal_position": 91}, {"identifier": "Q60", "position": [5, 9], "step": 91, "ordinal_position": 92}, {"identifier": "A21", "position": [4, 9], "step": 92, "ordinal_position": 93}, {"identifier": "D07", "position": [3, 9], "step": 93, "ordinal_position": 94}, {"identifier": "V58", "position": [2, 9], "step": 94, "ordinal_position": 95}, {"identifier": "M59", "position": [1, 9], "step": 95, "ordinal_position": 96}, {"identifier": "K94", "position": [1, 8], "step": 96, "ordinal_position": 97}, {"identifier": "C07", "position": [1, 7], "step": 97, "ordinal_position": 98}, {"identifier": "N06", "position": [1, 6], "step": 98, "ordinal_position": 99}, {"identifier": "O24", "position": [1, 5], "step": 99, "ordinal_position": 100}, {"identifier": "X10", "position": [1, 4], "step": 100, "ordinal_position": 101}, {"identifier": "C63", "position": [1, 3], "step": 101, "ordinal_position": 102}, {"identifier": "L16", "position": [1, 2], "step": 102, "ordinal_position": 103}, {"identifier": "J78", "position": [1, 1], "step": 103, "ordinal_position": 104}, {"identifier": "Z93", "position": [2, 1], "step": 104, "ordinal_position": 105}, {"identifier": "H89", "position": [3, 1], "step": 105, "ordinal_position": 106}, {"identifier": "X68", "position": [4, 1], "step": 106, "ordinal_position": 107}, {"identifier": "X54", "position": [5, 1], "step": 107, "ordinal_position": 108}, {"identifier": "V83", "position": [5, 2], "step": 108, "ordinal_position": 109}, {"identifier": "T40", "position": [5, 3], "step": 109, "ordinal_position": 110}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 110, "direction": "down", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_017.json"}} {"qa_id": "75af69b2286b4d98b6d806c26e2daad6", "image_id": "L3-MazeLoop-test_11x11_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E79, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 274th position in this traversal?", "start_object_id": "E79", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [274], "ordinal_strings": ["274th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "N06", "traversal_path": [{"identifier": "E79", "position": [7, 1], "step": 0, "ordinal_position": 1}, {"identifier": "G99", "position": [8, 1], "step": 1, "ordinal_position": 2}, {"identifier": "C21", "position": [9, 1], "step": 2, "ordinal_position": 3}, {"identifier": "C06", "position": [9, 2], "step": 3, "ordinal_position": 4}, {"identifier": "A84", "position": [9, 3], "step": 4, "ordinal_position": 5}, {"identifier": "F30", "position": [9, 4], "step": 5, "ordinal_position": 6}, {"identifier": "P35", "position": [9, 5], "step": 6, "ordinal_position": 7}, {"identifier": "Y73", "position": [9, 6], "step": 7, "ordinal_position": 8}, {"identifier": "X75", "position": [9, 7], "step": 8, "ordinal_position": 9}, {"identifier": "M68", "position": [9, 8], "step": 9, "ordinal_position": 10}, {"identifier": "N60", "position": [9, 9], "step": 10, "ordinal_position": 11}, {"identifier": "A78", "position": [8, 9], "step": 11, "ordinal_position": 12}, {"identifier": "I75", "position": [7, 9], "step": 12, "ordinal_position": 13}, {"identifier": "W75", "position": [6, 9], "step": 13, "ordinal_position": 14}, {"identifier": "Q60", "position": [5, 9], "step": 14, "ordinal_position": 15}, {"identifier": "A21", "position": [4, 9], "step": 15, "ordinal_position": 16}, {"identifier": "D07", "position": [3, 9], "step": 16, "ordinal_position": 17}, {"identifier": "V58", "position": [2, 9], "step": 17, "ordinal_position": 18}, {"identifier": "M59", "position": [1, 9], "step": 18, "ordinal_position": 19}, {"identifier": "K94", "position": [1, 8], "step": 19, "ordinal_position": 20}, {"identifier": "C07", "position": [1, 7], "step": 20, "ordinal_position": 21}, {"identifier": "N06", "position": [1, 6], "step": 21, "ordinal_position": 22}, {"identifier": "O24", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "X10", "position": [1, 4], "step": 23, "ordinal_position": 24}, {"identifier": "C63", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "L16", "position": [1, 2], "step": 25, "ordinal_position": 26}, {"identifier": "J78", "position": [1, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Z93", "position": [2, 1], "step": 27, "ordinal_position": 28}, {"identifier": "H89", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "X68", "position": [4, 1], "step": 29, "ordinal_position": 30}, {"identifier": "X54", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "V83", "position": [5, 2], "step": 31, "ordinal_position": 32}, {"identifier": "T40", "position": [5, 3], "step": 32, "ordinal_position": 33}, {"identifier": "O25", "position": [6, 3], "step": 33, "ordinal_position": 34}, {"identifier": "I12", "position": [7, 3], "step": 34, "ordinal_position": 35}, {"identifier": "T86", "position": [7, 2], "step": 35, "ordinal_position": 36}, {"identifier": "E79", "position": [7, 1], "step": 36, "ordinal_position": 37}, {"identifier": "G99", "position": [8, 1], "step": 37, "ordinal_position": 38}, {"identifier": "C21", "position": [9, 1], "step": 38, "ordinal_position": 39}, {"identifier": "C06", "position": [9, 2], "step": 39, "ordinal_position": 40}, {"identifier": "A84", "position": [9, 3], "step": 40, "ordinal_position": 41}, {"identifier": "F30", "position": [9, 4], "step": 41, "ordinal_position": 42}, {"identifier": "P35", "position": [9, 5], "step": 42, "ordinal_position": 43}, {"identifier": "Y73", "position": [9, 6], "step": 43, "ordinal_position": 44}, {"identifier": "X75", "position": [9, 7], "step": 44, "ordinal_position": 45}, {"identifier": "M68", "position": [9, 8], "step": 45, "ordinal_position": 46}, {"identifier": "N60", "position": [9, 9], "step": 46, "ordinal_position": 47}, {"identifier": "A78", "position": [8, 9], "step": 47, "ordinal_position": 48}, {"identifier": "I75", "position": [7, 9], "step": 48, "ordinal_position": 49}, {"identifier": "W75", "position": [6, 9], "step": 49, "ordinal_position": 50}, {"identifier": "Q60", "position": [5, 9], "step": 50, "ordinal_position": 51}, {"identifier": "A21", "position": [4, 9], "step": 51, "ordinal_position": 52}, {"identifier": "D07", "position": [3, 9], "step": 52, "ordinal_position": 53}, {"identifier": "V58", "position": [2, 9], "step": 53, "ordinal_position": 54}, {"identifier": "M59", "position": [1, 9], "step": 54, "ordinal_position": 55}, {"identifier": "K94", "position": [1, 8], "step": 55, "ordinal_position": 56}, {"identifier": "C07", "position": [1, 7], "step": 56, "ordinal_position": 57}, {"identifier": "N06", "position": [1, 6], "step": 57, "ordinal_position": 58}, {"identifier": "O24", "position": [1, 5], "step": 58, "ordinal_position": 59}, {"identifier": "X10", "position": [1, 4], "step": 59, "ordinal_position": 60}, {"identifier": "C63", "position": [1, 3], "step": 60, "ordinal_position": 61}, {"identifier": "L16", "position": [1, 2], "step": 61, "ordinal_position": 62}, {"identifier": "J78", "position": [1, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Z93", "position": [2, 1], "step": 63, "ordinal_position": 64}, {"identifier": "H89", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "X68", "position": [4, 1], "step": 65, "ordinal_position": 66}, {"identifier": "X54", "position": [5, 1], "step": 66, "ordinal_position": 67}, {"identifier": "V83", "position": [5, 2], "step": 67, "ordinal_position": 68}, {"identifier": "T40", "position": [5, 3], "step": 68, "ordinal_position": 69}, {"identifier": "O25", "position": [6, 3], "step": 69, "ordinal_position": 70}, {"identifier": "I12", "position": [7, 3], "step": 70, "ordinal_position": 71}, {"identifier": "T86", "position": [7, 2], "step": 71, "ordinal_position": 72}, {"identifier": "E79", "position": [7, 1], "step": 72, "ordinal_position": 73}, {"identifier": "G99", "position": [8, 1], "step": 73, "ordinal_position": 74}, {"identifier": "C21", "position": [9, 1], "step": 74, "ordinal_position": 75}, {"identifier": "C06", "position": [9, 2], "step": 75, "ordinal_position": 76}, {"identifier": "A84", "position": [9, 3], "step": 76, "ordinal_position": 77}, {"identifier": "F30", "position": [9, 4], "step": 77, "ordinal_position": 78}, {"identifier": "P35", "position": [9, 5], "step": 78, "ordinal_position": 79}, {"identifier": "Y73", "position": [9, 6], "step": 79, "ordinal_position": 80}, {"identifier": "X75", "position": [9, 7], "step": 80, "ordinal_position": 81}, {"identifier": "M68", "position": [9, 8], "step": 81, "ordinal_position": 82}, {"identifier": "N60", "position": [9, 9], "step": 82, "ordinal_position": 83}, {"identifier": "A78", "position": [8, 9], "step": 83, "ordinal_position": 84}, {"identifier": "I75", "position": [7, 9], "step": 84, "ordinal_position": 85}, {"identifier": "W75", "position": [6, 9], "step": 85, "ordinal_position": 86}, {"identifier": "Q60", "position": [5, 9], "step": 86, "ordinal_position": 87}, {"identifier": "A21", "position": [4, 9], "step": 87, "ordinal_position": 88}, {"identifier": "D07", "position": [3, 9], "step": 88, "ordinal_position": 89}, {"identifier": "V58", "position": [2, 9], "step": 89, "ordinal_position": 90}, {"identifier": "M59", "position": [1, 9], "step": 90, "ordinal_position": 91}, {"identifier": "K94", "position": [1, 8], "step": 91, "ordinal_position": 92}, {"identifier": "C07", "position": [1, 7], "step": 92, "ordinal_position": 93}, {"identifier": "N06", "position": [1, 6], "step": 93, "ordinal_position": 94}, {"identifier": "O24", "position": [1, 5], "step": 94, "ordinal_position": 95}, {"identifier": "X10", "position": [1, 4], "step": 95, "ordinal_position": 96}, {"identifier": "C63", "position": [1, 3], "step": 96, "ordinal_position": 97}, {"identifier": "L16", "position": [1, 2], "step": 97, "ordinal_position": 98}, {"identifier": "J78", "position": [1, 1], "step": 98, "ordinal_position": 99}, {"identifier": "Z93", "position": [2, 1], "step": 99, "ordinal_position": 100}, {"identifier": "H89", "position": [3, 1], "step": 100, "ordinal_position": 101}, {"identifier": "X68", "position": [4, 1], "step": 101, "ordinal_position": 102}, {"identifier": "X54", "position": [5, 1], "step": 102, "ordinal_position": 103}, {"identifier": "V83", "position": [5, 2], "step": 103, "ordinal_position": 104}, {"identifier": "T40", "position": [5, 3], "step": 104, "ordinal_position": 105}, {"identifier": "O25", "position": [6, 3], "step": 105, "ordinal_position": 106}, {"identifier": "I12", "position": [7, 3], "step": 106, "ordinal_position": 107}, {"identifier": "T86", "position": [7, 2], "step": 107, "ordinal_position": 108}, {"identifier": "E79", "position": [7, 1], "step": 108, "ordinal_position": 109}, {"identifier": "G99", "position": [8, 1], "step": 109, "ordinal_position": 110}, {"identifier": "C21", "position": [9, 1], "step": 110, "ordinal_position": 111}, {"identifier": "C06", "position": [9, 2], "step": 111, "ordinal_position": 112}, {"identifier": "A84", "position": [9, 3], "step": 112, "ordinal_position": 113}, {"identifier": "F30", "position": [9, 4], "step": 113, "ordinal_position": 114}, {"identifier": "P35", "position": [9, 5], "step": 114, "ordinal_position": 115}, {"identifier": "Y73", "position": [9, 6], "step": 115, "ordinal_position": 116}, {"identifier": "X75", "position": [9, 7], "step": 116, "ordinal_position": 117}, {"identifier": "M68", "position": [9, 8], "step": 117, "ordinal_position": 118}, {"identifier": "N60", "position": [9, 9], "step": 118, "ordinal_position": 119}, {"identifier": "A78", "position": [8, 9], "step": 119, "ordinal_position": 120}, {"identifier": "I75", "position": [7, 9], "step": 120, "ordinal_position": 121}, {"identifier": "W75", "position": [6, 9], "step": 121, "ordinal_position": 122}, {"identifier": "Q60", "position": [5, 9], "step": 122, "ordinal_position": 123}, {"identifier": "A21", "position": [4, 9], "step": 123, "ordinal_position": 124}, {"identifier": "D07", "position": [3, 9], "step": 124, "ordinal_position": 125}, {"identifier": "V58", "position": [2, 9], "step": 125, "ordinal_position": 126}, {"identifier": "M59", "position": [1, 9], "step": 126, "ordinal_position": 127}, {"identifier": "K94", "position": [1, 8], "step": 127, "ordinal_position": 128}, {"identifier": "C07", "position": [1, 7], "step": 128, "ordinal_position": 129}, {"identifier": "N06", "position": [1, 6], "step": 129, "ordinal_position": 130}, {"identifier": "O24", "position": [1, 5], "step": 130, "ordinal_position": 131}, {"identifier": "X10", "position": [1, 4], "step": 131, "ordinal_position": 132}, {"identifier": "C63", "position": [1, 3], "step": 132, "ordinal_position": 133}, {"identifier": "L16", "position": [1, 2], "step": 133, "ordinal_position": 134}, {"identifier": "J78", "position": [1, 1], "step": 134, "ordinal_position": 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159, "ordinal_position": 160}, {"identifier": "D07", "position": [3, 9], "step": 160, "ordinal_position": 161}, {"identifier": "V58", "position": [2, 9], "step": 161, "ordinal_position": 162}, {"identifier": "M59", "position": [1, 9], "step": 162, "ordinal_position": 163}, {"identifier": "K94", "position": [1, 8], "step": 163, "ordinal_position": 164}, {"identifier": "C07", "position": [1, 7], "step": 164, "ordinal_position": 165}, {"identifier": "N06", "position": [1, 6], "step": 165, "ordinal_position": 166}, {"identifier": "O24", "position": [1, 5], "step": 166, "ordinal_position": 167}, {"identifier": "X10", "position": [1, 4], "step": 167, "ordinal_position": 168}, {"identifier": "C63", "position": [1, 3], "step": 168, "ordinal_position": 169}, {"identifier": "L16", "position": [1, 2], "step": 169, "ordinal_position": 170}, {"identifier": "J78", "position": [1, 1], "step": 170, "ordinal_position": 171}, {"identifier": "Z93", "position": [2, 1], "step": 171, "ordinal_position": 172}, {"identifier": "H89", "position": [3, 1], "step": 172, "ordinal_position": 173}, {"identifier": "X68", "position": [4, 1], "step": 173, "ordinal_position": 174}, {"identifier": "X54", "position": [5, 1], "step": 174, "ordinal_position": 175}, {"identifier": "V83", "position": [5, 2], "step": 175, "ordinal_position": 176}, {"identifier": "T40", "position": [5, 3], "step": 176, "ordinal_position": 177}, {"identifier": "O25", "position": [6, 3], "step": 177, "ordinal_position": 178}, {"identifier": "I12", "position": [7, 3], "step": 178, "ordinal_position": 179}, {"identifier": "T86", "position": [7, 2], "step": 179, "ordinal_position": 180}, {"identifier": "E79", "position": [7, 1], "step": 180, "ordinal_position": 181}, {"identifier": "G99", "position": [8, 1], "step": 181, "ordinal_position": 182}, {"identifier": "C21", "position": [9, 1], "step": 182, "ordinal_position": 183}, {"identifier": "C06", "position": [9, 2], "step": 183, "ordinal_position": 184}, {"identifier": "A84", "position": [9, 3], "step": 184, "ordinal_position": 185}, {"identifier": "F30", "position": [9, 4], "step": 185, "ordinal_position": 186}, {"identifier": "P35", "position": [9, 5], "step": 186, "ordinal_position": 187}, {"identifier": "Y73", "position": [9, 6], "step": 187, "ordinal_position": 188}, {"identifier": "X75", "position": [9, 7], "step": 188, "ordinal_position": 189}, {"identifier": "M68", "position": [9, 8], "step": 189, "ordinal_position": 190}, {"identifier": "N60", "position": [9, 9], "step": 190, "ordinal_position": 191}, {"identifier": "A78", "position": [8, 9], "step": 191, "ordinal_position": 192}, {"identifier": "I75", "position": [7, 9], "step": 192, "ordinal_position": 193}, {"identifier": "W75", "position": [6, 9], "step": 193, "ordinal_position": 194}, {"identifier": "Q60", "position": [5, 9], "step": 194, "ordinal_position": 195}, {"identifier": "A21", "position": [4, 9], "step": 195, "ordinal_position": 196}, {"identifier": "D07", "position": [3, 9], "step": 196, "ordinal_position": 197}, {"identifier": "V58", "position": [2, 9], "step": 197, "ordinal_position": 198}, {"identifier": "M59", "position": [1, 9], "step": 198, "ordinal_position": 199}, {"identifier": "K94", "position": [1, 8], "step": 199, "ordinal_position": 200}, {"identifier": "C07", "position": [1, 7], "step": 200, "ordinal_position": 201}, {"identifier": "N06", "position": [1, 6], "step": 201, "ordinal_position": 202}, {"identifier": "O24", "position": [1, 5], "step": 202, "ordinal_position": 203}, {"identifier": "X10", "position": [1, 4], "step": 203, "ordinal_position": 204}, {"identifier": "C63", "position": [1, 3], "step": 204, "ordinal_position": 205}, {"identifier": "L16", "position": [1, 2], "step": 205, "ordinal_position": 206}, {"identifier": "J78", "position": [1, 1], "step": 206, "ordinal_position": 207}, {"identifier": "Z93", "position": [2, 1], "step": 207, "ordinal_position": 208}, {"identifier": "H89", "position": [3, 1], "step": 208, "ordinal_position": 209}, {"identifier": "X68", "position": [4, 1], "step": 209, "ordinal_position": 210}, {"identifier": "X54", "position": [5, 1], "step": 210, "ordinal_position": 211}, {"identifier": "V83", "position": [5, 2], "step": 211, "ordinal_position": 212}, {"identifier": "T40", "position": [5, 3], "step": 212, "ordinal_position": 213}, {"identifier": "O25", "position": [6, 3], "step": 213, "ordinal_position": 214}, {"identifier": "I12", "position": [7, 3], "step": 214, "ordinal_position": 215}, {"identifier": "T86", "position": [7, 2], "step": 215, "ordinal_position": 216}, {"identifier": "E79", "position": [7, 1], "step": 216, "ordinal_position": 217}, {"identifier": "G99", "position": [8, 1], "step": 217, "ordinal_position": 218}, {"identifier": "C21", "position": [9, 1], "step": 218, "ordinal_position": 219}, {"identifier": "C06", "position": [9, 2], "step": 219, "ordinal_position": 220}, {"identifier": "A84", "position": [9, 3], "step": 220, "ordinal_position": 221}, {"identifier": "F30", "position": [9, 4], "step": 221, "ordinal_position": 222}, {"identifier": "P35", "position": [9, 5], "step": 222, "ordinal_position": 223}, {"identifier": "Y73", "position": [9, 6], "step": 223, "ordinal_position": 224}, {"identifier": "X75", "position": [9, 7], "step": 224, "ordinal_position": 225}, {"identifier": "M68", "position": [9, 8], "step": 225, "ordinal_position": 226}, {"identifier": "N60", "position": [9, 9], "step": 226, "ordinal_position": 227}, {"identifier": "A78", "position": [8, 9], "step": 227, "ordinal_position": 228}, {"identifier": "I75", "position": [7, 9], "step": 228, "ordinal_position": 229}, {"identifier": "W75", "position": [6, 9], "step": 229, "ordinal_position": 230}, {"identifier": "Q60", "position": [5, 9], "step": 230, "ordinal_position": 231}, {"identifier": "A21", "position": [4, 9], "step": 231, "ordinal_position": 232}, {"identifier": "D07", "position": [3, 9], "step": 232, "ordinal_position": 233}, {"identifier": "V58", "position": [2, 9], "step": 233, "ordinal_position": 234}, {"identifier": "M59", "position": [1, 9], "step": 234, "ordinal_position": 235}, {"identifier": "K94", "position": [1, 8], "step": 235, "ordinal_position": 236}, {"identifier": "C07", "position": [1, 7], "step": 236, "ordinal_position": 237}, {"identifier": "N06", "position": [1, 6], "step": 237, "ordinal_position": 238}, {"identifier": "O24", "position": [1, 5], "step": 238, "ordinal_position": 239}, {"identifier": "X10", "position": [1, 4], "step": 239, "ordinal_position": 240}, {"identifier": "C63", "position": [1, 3], "step": 240, "ordinal_position": 241}, {"identifier": "L16", "position": [1, 2], "step": 241, "ordinal_position": 242}, {"identifier": "J78", "position": [1, 1], "step": 242, "ordinal_position": 243}, {"identifier": "Z93", "position": [2, 1], "step": 243, "ordinal_position": 244}, {"identifier": "H89", "position": [3, 1], "step": 244, "ordinal_position": 245}, {"identifier": "X68", "position": [4, 1], "step": 245, "ordinal_position": 246}, {"identifier": "X54", "position": [5, 1], "step": 246, "ordinal_position": 247}, {"identifier": "V83", "position": [5, 2], "step": 247, "ordinal_position": 248}, {"identifier": "T40", "position": [5, 3], "step": 248, "ordinal_position": 249}, {"identifier": "O25", "position": [6, 3], "step": 249, "ordinal_position": 250}, {"identifier": "I12", "position": [7, 3], "step": 250, "ordinal_position": 251}, {"identifier": "T86", "position": [7, 2], "step": 251, "ordinal_position": 252}, {"identifier": "E79", "position": [7, 1], "step": 252, "ordinal_position": 253}, {"identifier": "G99", "position": [8, 1], "step": 253, "ordinal_position": 254}, {"identifier": "C21", "position": [9, 1], "step": 254, "ordinal_position": 255}, {"identifier": "C06", "position": [9, 2], "step": 255, "ordinal_position": 256}, {"identifier": "A84", "position": [9, 3], "step": 256, "ordinal_position": 257}, {"identifier": "F30", "position": [9, 4], "step": 257, "ordinal_position": 258}, {"identifier": "P35", "position": [9, 5], "step": 258, "ordinal_position": 259}, {"identifier": "Y73", "position": [9, 6], "step": 259, "ordinal_position": 260}, {"identifier": "X75", "position": [9, 7], "step": 260, "ordinal_position": 261}, {"identifier": "M68", "position": [9, 8], "step": 261, "ordinal_position": 262}, {"identifier": "N60", "position": [9, 9], "step": 262, "ordinal_position": 263}, {"identifier": "A78", "position": [8, 9], "step": 263, "ordinal_position": 264}, {"identifier": "I75", "position": [7, 9], "step": 264, "ordinal_position": 265}, {"identifier": "W75", "position": [6, 9], "step": 265, "ordinal_position": 266}, {"identifier": "Q60", "position": [5, 9], "step": 266, "ordinal_position": 267}, {"identifier": "A21", "position": [4, 9], "step": 267, "ordinal_position": 268}, {"identifier": "D07", "position": [3, 9], "step": 268, "ordinal_position": 269}, {"identifier": "V58", "position": [2, 9], "step": 269, "ordinal_position": 270}, {"identifier": "M59", "position": [1, 9], "step": 270, "ordinal_position": 271}, {"identifier": "K94", "position": [1, 8], "step": 271, "ordinal_position": 272}, {"identifier": "C07", "position": [1, 7], "step": 272, "ordinal_position": 273}, {"identifier": "N06", "position": [1, 6], "step": 273, "ordinal_position": 274}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 274, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_017.json"}} {"qa_id": "dfa6d655a14a4b928df0012731e2450f", "image_id": "L3-MazeLoop-test_11x11_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V51, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 127th position in this traversal?", "start_object_id": "V51", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [127], "ordinal_strings": ["127th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "V58", "traversal_path": [{"identifier": "V51", "position": [6, 5], "step": 0, "ordinal_position": 1}, {"identifier": "N72", "position": [5, 5], "step": 1, "ordinal_position": 2}, {"identifier": "T13", "position": [4, 5], "step": 2, "ordinal_position": 3}, {"identifier": "Z43", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "A39", "position": [3, 4], "step": 4, "ordinal_position": 5}, {"identifier": "T54", "position": [3, 3], "step": 5, "ordinal_position": 6}, {"identifier": "L28", "position": [3, 2], "step": 6, "ordinal_position": 7}, {"identifier": "H89", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "Z93", "position": [2, 1], "step": 8, "ordinal_position": 9}, {"identifier": "J78", "position": [1, 1], "step": 9, "ordinal_position": 10}, {"identifier": "L16", "position": [1, 2], "step": 10, "ordinal_position": 11}, {"identifier": "C63", "position": [1, 3], "step": 11, "ordinal_position": 12}, {"identifier": "X10", "position": [1, 4], "step": 12, "ordinal_position": 13}, {"identifier": "O24", "position": [1, 5], "step": 13, "ordinal_position": 14}, {"identifier": "N06", "position": [1, 6], "step": 14, "ordinal_position": 15}, {"identifier": "C07", "position": [1, 7], "step": 15, "ordinal_position": 16}, {"identifier": "K94", "position": [1, 8], "step": 16, "ordinal_position": 17}, {"identifier": "M59", "position": [1, 9], "step": 17, "ordinal_position": 18}, {"identifier": "V58", "position": [2, 9], "step": 18, "ordinal_position": 19}, {"identifier": "D07", "position": [3, 9], "step": 19, "ordinal_position": 20}, {"identifier": "A21", "position": [4, 9], "step": 20, "ordinal_position": 21}, {"identifier": "Q60", "position": [5, 9], "step": 21, "ordinal_position": 22}, {"identifier": "W75", "position": [6, 9], "step": 22, "ordinal_position": 23}, {"identifier": "I75", "position": [7, 9], "step": 23, "ordinal_position": 24}, {"identifier": "A78", "position": [8, 9], "step": 24, "ordinal_position": 25}, {"identifier": "N60", "position": [9, 9], "step": 25, "ordinal_position": 26}, {"identifier": "M68", "position": [9, 8], "step": 26, "ordinal_position": 27}, {"identifier": "X75", "position": [9, 7], "step": 27, "ordinal_position": 28}, {"identifier": "Y73", "position": [9, 6], "step": 28, "ordinal_position": 29}, {"identifier": "P35", "position": [9, 5], "step": 29, "ordinal_position": 30}, {"identifier": "F30", "position": [9, 4], "step": 30, "ordinal_position": 31}, {"identifier": "A84", "position": [9, 3], "step": 31, "ordinal_position": 32}, {"identifier": "C06", "position": [9, 2], "step": 32, "ordinal_position": 33}, {"identifier": "C21", "position": [9, 1], "step": 33, "ordinal_position": 34}, {"identifier": "G99", "position": [8, 1], "step": 34, "ordinal_position": 35}, {"identifier": "E79", "position": [7, 1], "step": 35, "ordinal_position": 36}, {"identifier": "T86", "position": [7, 2], "step": 36, "ordinal_position": 37}, {"identifier": "I12", "position": [7, 3], "step": 37, "ordinal_position": 38}, {"identifier": "O25", "position": [6, 3], "step": 38, "ordinal_position": 39}, {"identifier": "T40", "position": [5, 3], "step": 39, "ordinal_position": 40}, {"identifier": "V83", "position": [5, 2], "step": 40, "ordinal_position": 41}, {"identifier": "X54", "position": [5, 1], "step": 41, "ordinal_position": 42}, {"identifier": "X68", "position": [4, 1], "step": 42, "ordinal_position": 43}, {"identifier": "H89", "position": [3, 1], "step": 43, "ordinal_position": 44}, {"identifier": "Z93", "position": [2, 1], "step": 44, "ordinal_position": 45}, {"identifier": "J78", "position": [1, 1], "step": 45, "ordinal_position": 46}, {"identifier": "L16", "position": [1, 2], "step": 46, "ordinal_position": 47}, {"identifier": "C63", "position": [1, 3], "step": 47, "ordinal_position": 48}, {"identifier": "X10", "position": [1, 4], "step": 48, "ordinal_position": 49}, {"identifier": "O24", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "N06", "position": [1, 6], "step": 50, "ordinal_position": 51}, {"identifier": "C07", "position": [1, 7], "step": 51, "ordinal_position": 52}, {"identifier": "K94", "position": [1, 8], "step": 52, "ordinal_position": 53}, {"identifier": "M59", "position": [1, 9], "step": 53, "ordinal_position": 54}, {"identifier": "V58", "position": [2, 9], "step": 54, "ordinal_position": 55}, {"identifier": "D07", "position": [3, 9], "step": 55, "ordinal_position": 56}, {"identifier": "A21", "position": [4, 9], "step": 56, "ordinal_position": 57}, {"identifier": "Q60", "position": [5, 9], "step": 57, "ordinal_position": 58}, {"identifier": "W75", "position": [6, 9], "step": 58, "ordinal_position": 59}, {"identifier": "I75", "position": [7, 9], "step": 59, "ordinal_position": 60}, {"identifier": "A78", "position": [8, 9], "step": 60, "ordinal_position": 61}, {"identifier": "N60", "position": [9, 9], "step": 61, "ordinal_position": 62}, {"identifier": "M68", "position": [9, 8], "step": 62, "ordinal_position": 63}, {"identifier": "X75", "position": [9, 7], "step": 63, "ordinal_position": 64}, {"identifier": "Y73", "position": [9, 6], "step": 64, "ordinal_position": 65}, {"identifier": "P35", "position": [9, 5], "step": 65, "ordinal_position": 66}, {"identifier": "F30", "position": [9, 4], "step": 66, "ordinal_position": 67}, {"identifier": "A84", "position": [9, 3], "step": 67, "ordinal_position": 68}, {"identifier": "C06", "position": [9, 2], "step": 68, "ordinal_position": 69}, {"identifier": "C21", "position": [9, 1], "step": 69, "ordinal_position": 70}, {"identifier": "G99", "position": [8, 1], "step": 70, "ordinal_position": 71}, {"identifier": "E79", "position": [7, 1], "step": 71, "ordinal_position": 72}, {"identifier": "T86", "position": [7, 2], "step": 72, "ordinal_position": 73}, {"identifier": "I12", "position": [7, 3], "step": 73, "ordinal_position": 74}, {"identifier": "O25", "position": [6, 3], "step": 74, "ordinal_position": 75}, {"identifier": "T40", "position": [5, 3], "step": 75, "ordinal_position": 76}, {"identifier": "V83", "position": [5, 2], "step": 76, "ordinal_position": 77}, {"identifier": "X54", "position": [5, 1], "step": 77, "ordinal_position": 78}, {"identifier": "X68", "position": [4, 1], "step": 78, "ordinal_position": 79}, {"identifier": "H89", "position": [3, 1], "step": 79, "ordinal_position": 80}, {"identifier": "Z93", "position": [2, 1], "step": 80, "ordinal_position": 81}, {"identifier": "J78", "position": [1, 1], "step": 81, "ordinal_position": 82}, {"identifier": "L16", "position": [1, 2], "step": 82, "ordinal_position": 83}, {"identifier": "C63", "position": [1, 3], "step": 83, "ordinal_position": 84}, {"identifier": "X10", "position": [1, 4], "step": 84, "ordinal_position": 85}, {"identifier": "O24", "position": [1, 5], "step": 85, "ordinal_position": 86}, {"identifier": "N06", "position": [1, 6], "step": 86, "ordinal_position": 87}, {"identifier": "C07", "position": [1, 7], "step": 87, "ordinal_position": 88}, {"identifier": "K94", "position": [1, 8], "step": 88, "ordinal_position": 89}, {"identifier": "M59", "position": [1, 9], "step": 89, "ordinal_position": 90}, {"identifier": "V58", "position": [2, 9], "step": 90, "ordinal_position": 91}, {"identifier": "D07", "position": [3, 9], "step": 91, "ordinal_position": 92}, {"identifier": "A21", "position": [4, 9], "step": 92, "ordinal_position": 93}, {"identifier": "Q60", "position": [5, 9], "step": 93, "ordinal_position": 94}, {"identifier": "W75", "position": [6, 9], "step": 94, "ordinal_position": 95}, {"identifier": "I75", "position": [7, 9], "step": 95, "ordinal_position": 96}, {"identifier": "A78", "position": [8, 9], "step": 96, "ordinal_position": 97}, {"identifier": "N60", "position": [9, 9], "step": 97, "ordinal_position": 98}, {"identifier": "M68", "position": [9, 8], "step": 98, "ordinal_position": 99}, {"identifier": "X75", "position": [9, 7], "step": 99, "ordinal_position": 100}, {"identifier": "Y73", "position": [9, 6], "step": 100, "ordinal_position": 101}, {"identifier": "P35", "position": [9, 5], "step": 101, "ordinal_position": 102}, {"identifier": "F30", "position": [9, 4], "step": 102, "ordinal_position": 103}, {"identifier": "A84", "position": [9, 3], "step": 103, "ordinal_position": 104}, {"identifier": "C06", "position": [9, 2], "step": 104, "ordinal_position": 105}, {"identifier": "C21", "position": [9, 1], "step": 105, "ordinal_position": 106}, {"identifier": "G99", "position": [8, 1], "step": 106, "ordinal_position": 107}, {"identifier": "E79", "position": [7, 1], "step": 107, "ordinal_position": 108}, {"identifier": "T86", "position": [7, 2], "step": 108, "ordinal_position": 109}, {"identifier": "I12", "position": [7, 3], "step": 109, "ordinal_position": 110}, {"identifier": "O25", "position": [6, 3], "step": 110, "ordinal_position": 111}, {"identifier": "T40", "position": [5, 3], "step": 111, "ordinal_position": 112}, {"identifier": "V83", "position": [5, 2], "step": 112, "ordinal_position": 113}, {"identifier": "X54", "position": [5, 1], "step": 113, "ordinal_position": 114}, {"identifier": "X68", "position": [4, 1], "step": 114, "ordinal_position": 115}, {"identifier": "H89", "position": [3, 1], "step": 115, "ordinal_position": 116}, {"identifier": "Z93", "position": [2, 1], "step": 116, "ordinal_position": 117}, {"identifier": "J78", "position": [1, 1], "step": 117, "ordinal_position": 118}, {"identifier": "L16", "position": [1, 2], "step": 118, "ordinal_position": 119}, {"identifier": "C63", "position": [1, 3], "step": 119, "ordinal_position": 120}, {"identifier": "X10", "position": [1, 4], "step": 120, "ordinal_position": 121}, {"identifier": "O24", "position": [1, 5], "step": 121, "ordinal_position": 122}, {"identifier": "N06", "position": [1, 6], "step": 122, "ordinal_position": 123}, {"identifier": "C07", "position": [1, 7], "step": 123, "ordinal_position": 124}, {"identifier": "K94", "position": [1, 8], "step": 124, "ordinal_position": 125}, {"identifier": "M59", "position": [1, 9], "step": 125, "ordinal_position": 126}, {"identifier": "V58", "position": [2, 9], "step": 126, "ordinal_position": 127}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 127, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_017.json"}} {"qa_id": "8be3cfe0d8c149cdb58fb68eb97dccbd", "image_id": "L3-MazeLoop-test_11x11_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L16, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 257th position in this traversal?", "start_object_id": "L16", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [257], "ordinal_strings": ["257th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "N06", "traversal_path": [{"identifier": "L16", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "C63", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "X10", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "O24", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "N06", "position": [1, 6], "step": 4, "ordinal_position": 5}, {"identifier": "C07", "position": [1, 7], "step": 5, "ordinal_position": 6}, {"identifier": "K94", "position": [1, 8], "step": 6, "ordinal_position": 7}, {"identifier": "M59", "position": [1, 9], "step": 7, "ordinal_position": 8}, {"identifier": "V58", "position": [2, 9], "step": 8, "ordinal_position": 9}, {"identifier": "D07", "position": [3, 9], "step": 9, "ordinal_position": 10}, {"identifier": "A21", "position": [4, 9], "step": 10, "ordinal_position": 11}, {"identifier": "Q60", "position": [5, 9], "step": 11, "ordinal_position": 12}, {"identifier": "W75", "position": [6, 9], "step": 12, "ordinal_position": 13}, {"identifier": "I75", "position": [7, 9], "step": 13, "ordinal_position": 14}, {"identifier": "A78", "position": [8, 9], "step": 14, "ordinal_position": 15}, {"identifier": "N60", "position": [9, 9], "step": 15, "ordinal_position": 16}, {"identifier": "M68", "position": [9, 8], "step": 16, "ordinal_position": 17}, {"identifier": "X75", "position": [9, 7], "step": 17, "ordinal_position": 18}, {"identifier": "Y73", "position": [9, 6], "step": 18, "ordinal_position": 19}, {"identifier": "P35", "position": [9, 5], "step": 19, "ordinal_position": 20}, {"identifier": "F30", "position": [9, 4], "step": 20, "ordinal_position": 21}, {"identifier": "A84", "position": [9, 3], "step": 21, "ordinal_position": 22}, {"identifier": "C06", "position": [9, 2], "step": 22, "ordinal_position": 23}, {"identifier": "C21", "position": [9, 1], "step": 23, "ordinal_position": 24}, {"identifier": "G99", "position": [8, 1], "step": 24, "ordinal_position": 25}, {"identifier": "E79", "position": [7, 1], "step": 25, "ordinal_position": 26}, {"identifier": "T86", "position": [7, 2], "step": 26, "ordinal_position": 27}, {"identifier": "I12", "position": [7, 3], "step": 27, "ordinal_position": 28}, {"identifier": "O25", "position": [6, 3], "step": 28, "ordinal_position": 29}, {"identifier": "T40", "position": [5, 3], "step": 29, "ordinal_position": 30}, {"identifier": "V83", "position": [5, 2], "step": 30, "ordinal_position": 31}, {"identifier": "X54", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "X68", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "H89", "position": [3, 1], "step": 33, "ordinal_position": 34}, {"identifier": "Z93", "position": [2, 1], "step": 34, "ordinal_position": 35}, {"identifier": "J78", "position": [1, 1], "step": 35, "ordinal_position": 36}, {"identifier": "L16", "position": [1, 2], "step": 36, "ordinal_position": 37}, {"identifier": "C63", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "X10", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "O24", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "N06", "position": [1, 6], "step": 40, "ordinal_position": 41}, {"identifier": "C07", "position": [1, 7], "step": 41, "ordinal_position": 42}, {"identifier": "K94", "position": [1, 8], "step": 42, "ordinal_position": 43}, {"identifier": "M59", "position": [1, 9], "step": 43, "ordinal_position": 44}, {"identifier": "V58", "position": [2, 9], "step": 44, "ordinal_position": 45}, {"identifier": "D07", "position": [3, 9], "step": 45, "ordinal_position": 46}, {"identifier": "A21", "position": [4, 9], "step": 46, "ordinal_position": 47}, {"identifier": "Q60", "position": [5, 9], "step": 47, "ordinal_position": 48}, {"identifier": "W75", "position": [6, 9], "step": 48, "ordinal_position": 49}, {"identifier": "I75", "position": [7, 9], "step": 49, "ordinal_position": 50}, {"identifier": "A78", "position": [8, 9], "step": 50, "ordinal_position": 51}, {"identifier": "N60", "position": [9, 9], "step": 51, "ordinal_position": 52}, {"identifier": "M68", "position": [9, 8], "step": 52, "ordinal_position": 53}, {"identifier": "X75", "position": [9, 7], "step": 53, "ordinal_position": 54}, {"identifier": "Y73", "position": [9, 6], "step": 54, "ordinal_position": 55}, {"identifier": "P35", "position": [9, 5], "step": 55, "ordinal_position": 56}, {"identifier": "F30", "position": [9, 4], "step": 56, "ordinal_position": 57}, {"identifier": "A84", "position": [9, 3], "step": 57, "ordinal_position": 58}, {"identifier": "C06", "position": [9, 2], "step": 58, "ordinal_position": 59}, {"identifier": "C21", "position": [9, 1], "step": 59, "ordinal_position": 60}, {"identifier": "G99", "position": [8, 1], "step": 60, "ordinal_position": 61}, {"identifier": "E79", "position": [7, 1], "step": 61, "ordinal_position": 62}, {"identifier": "T86", "position": [7, 2], "step": 62, "ordinal_position": 63}, {"identifier": "I12", "position": [7, 3], "step": 63, "ordinal_position": 64}, {"identifier": "O25", "position": [6, 3], "step": 64, "ordinal_position": 65}, {"identifier": "T40", "position": [5, 3], "step": 65, "ordinal_position": 66}, {"identifier": "V83", "position": [5, 2], "step": 66, "ordinal_position": 67}, {"identifier": "X54", "position": [5, 1], "step": 67, "ordinal_position": 68}, {"identifier": "X68", "position": [4, 1], "step": 68, "ordinal_position": 69}, {"identifier": "H89", "position": [3, 1], "step": 69, "ordinal_position": 70}, {"identifier": "Z93", "position": [2, 1], "step": 70, "ordinal_position": 71}, {"identifier": "J78", "position": [1, 1], "step": 71, "ordinal_position": 72}, {"identifier": "L16", "position": [1, 2], "step": 72, "ordinal_position": 73}, {"identifier": "C63", "position": [1, 3], "step": 73, "ordinal_position": 74}, {"identifier": "X10", "position": [1, 4], "step": 74, "ordinal_position": 75}, {"identifier": "O24", "position": [1, 5], "step": 75, "ordinal_position": 76}, {"identifier": "N06", "position": [1, 6], "step": 76, "ordinal_position": 77}, {"identifier": "C07", "position": [1, 7], "step": 77, "ordinal_position": 78}, {"identifier": "K94", "position": [1, 8], "step": 78, "ordinal_position": 79}, {"identifier": "M59", "position": [1, 9], "step": 79, "ordinal_position": 80}, {"identifier": "V58", "position": [2, 9], "step": 80, "ordinal_position": 81}, {"identifier": "D07", "position": [3, 9], "step": 81, "ordinal_position": 82}, {"identifier": "A21", "position": [4, 9], "step": 82, "ordinal_position": 83}, {"identifier": "Q60", "position": [5, 9], "step": 83, "ordinal_position": 84}, {"identifier": "W75", "position": [6, 9], "step": 84, "ordinal_position": 85}, {"identifier": "I75", "position": [7, 9], "step": 85, "ordinal_position": 86}, {"identifier": "A78", "position": [8, 9], "step": 86, "ordinal_position": 87}, {"identifier": "N60", "position": [9, 9], "step": 87, "ordinal_position": 88}, {"identifier": "M68", "position": [9, 8], "step": 88, "ordinal_position": 89}, {"identifier": "X75", "position": [9, 7], "step": 89, "ordinal_position": 90}, {"identifier": "Y73", "position": [9, 6], "step": 90, "ordinal_position": 91}, {"identifier": "P35", "position": [9, 5], "step": 91, "ordinal_position": 92}, {"identifier": "F30", "position": [9, 4], "step": 92, "ordinal_position": 93}, {"identifier": "A84", "position": [9, 3], "step": 93, "ordinal_position": 94}, {"identifier": "C06", "position": [9, 2], "step": 94, "ordinal_position": 95}, {"identifier": "C21", "position": [9, 1], "step": 95, "ordinal_position": 96}, {"identifier": "G99", "position": [8, 1], "step": 96, "ordinal_position": 97}, {"identifier": "E79", "position": [7, 1], "step": 97, "ordinal_position": 98}, {"identifier": "T86", "position": [7, 2], "step": 98, "ordinal_position": 99}, {"identifier": "I12", "position": [7, 3], "step": 99, "ordinal_position": 100}, {"identifier": "O25", "position": [6, 3], "step": 100, "ordinal_position": 101}, {"identifier": "T40", "position": [5, 3], "step": 101, "ordinal_position": 102}, {"identifier": "V83", "position": [5, 2], "step": 102, "ordinal_position": 103}, {"identifier": "X54", "position": [5, 1], "step": 103, "ordinal_position": 104}, {"identifier": "X68", "position": [4, 1], "step": 104, "ordinal_position": 105}, {"identifier": "H89", "position": [3, 1], "step": 105, "ordinal_position": 106}, {"identifier": "Z93", "position": [2, 1], "step": 106, "ordinal_position": 107}, {"identifier": "J78", "position": [1, 1], "step": 107, "ordinal_position": 108}, {"identifier": "L16", "position": [1, 2], "step": 108, "ordinal_position": 109}, {"identifier": "C63", "position": [1, 3], "step": 109, "ordinal_position": 110}, {"identifier": "X10", "position": [1, 4], "step": 110, "ordinal_position": 111}, {"identifier": "O24", "position": [1, 5], "step": 111, "ordinal_position": 112}, {"identifier": "N06", "position": [1, 6], "step": 112, "ordinal_position": 113}, {"identifier": "C07", "position": [1, 7], "step": 113, "ordinal_position": 114}, {"identifier": "K94", "position": [1, 8], "step": 114, "ordinal_position": 115}, {"identifier": "M59", "position": [1, 9], "step": 115, "ordinal_position": 116}, {"identifier": "V58", "position": [2, 9], "step": 116, "ordinal_position": 117}, {"identifier": "D07", "position": [3, 9], "step": 117, "ordinal_position": 118}, {"identifier": "A21", "position": [4, 9], "step": 118, "ordinal_position": 119}, {"identifier": "Q60", "position": [5, 9], "step": 119, "ordinal_position": 120}, {"identifier": "W75", "position": [6, 9], "step": 120, "ordinal_position": 121}, {"identifier": "I75", "position": [7, 9], "step": 121, "ordinal_position": 122}, {"identifier": "A78", "position": [8, 9], "step": 122, "ordinal_position": 123}, {"identifier": "N60", "position": [9, 9], "step": 123, "ordinal_position": 124}, {"identifier": "M68", "position": [9, 8], "step": 124, "ordinal_position": 125}, {"identifier": "X75", "position": [9, 7], "step": 125, "ordinal_position": 126}, {"identifier": "Y73", "position": [9, 6], "step": 126, "ordinal_position": 127}, {"identifier": "P35", "position": [9, 5], "step": 127, "ordinal_position": 128}, {"identifier": "F30", "position": [9, 4], "step": 128, "ordinal_position": 129}, {"identifier": "A84", "position": [9, 3], "step": 129, "ordinal_position": 130}, {"identifier": "C06", "position": [9, 2], "step": 130, "ordinal_position": 131}, {"identifier": "C21", "position": [9, 1], "step": 131, "ordinal_position": 132}, {"identifier": "G99", "position": [8, 1], "step": 132, "ordinal_position": 133}, {"identifier": "E79", "position": [7, 1], "step": 133, "ordinal_position": 134}, {"identifier": "T86", "position": [7, 2], "step": 134, "ordinal_position": 135}, {"identifier": "I12", "position": [7, 3], "step": 135, "ordinal_position": 136}, {"identifier": "O25", "position": [6, 3], "step": 136, "ordinal_position": 137}, {"identifier": "T40", "position": [5, 3], "step": 137, "ordinal_position": 138}, {"identifier": "V83", "position": [5, 2], "step": 138, "ordinal_position": 139}, {"identifier": "X54", "position": [5, 1], "step": 139, "ordinal_position": 140}, {"identifier": "X68", "position": [4, 1], "step": 140, "ordinal_position": 141}, {"identifier": "H89", "position": [3, 1], "step": 141, "ordinal_position": 142}, {"identifier": "Z93", "position": [2, 1], "step": 142, "ordinal_position": 143}, {"identifier": "J78", "position": [1, 1], "step": 143, "ordinal_position": 144}, {"identifier": "L16", "position": [1, 2], "step": 144, "ordinal_position": 145}, {"identifier": "C63", "position": [1, 3], "step": 145, "ordinal_position": 146}, {"identifier": "X10", "position": [1, 4], "step": 146, "ordinal_position": 147}, {"identifier": "O24", "position": [1, 5], "step": 147, "ordinal_position": 148}, {"identifier": "N06", "position": [1, 6], "step": 148, "ordinal_position": 149}, {"identifier": "C07", "position": [1, 7], "step": 149, "ordinal_position": 150}, {"identifier": "K94", "position": [1, 8], "step": 150, "ordinal_position": 151}, {"identifier": "M59", "position": [1, 9], "step": 151, "ordinal_position": 152}, {"identifier": "V58", "position": [2, 9], "step": 152, "ordinal_position": 153}, {"identifier": "D07", "position": [3, 9], "step": 153, "ordinal_position": 154}, {"identifier": "A21", "position": [4, 9], "step": 154, "ordinal_position": 155}, {"identifier": "Q60", "position": [5, 9], "step": 155, "ordinal_position": 156}, {"identifier": "W75", "position": [6, 9], "step": 156, "ordinal_position": 157}, {"identifier": "I75", "position": [7, 9], "step": 157, "ordinal_position": 158}, {"identifier": "A78", "position": [8, 9], "step": 158, "ordinal_position": 159}, {"identifier": "N60", "position": [9, 9], "step": 159, "ordinal_position": 160}, {"identifier": "M68", "position": [9, 8], "step": 160, "ordinal_position": 161}, {"identifier": "X75", "position": [9, 7], "step": 161, "ordinal_position": 162}, {"identifier": "Y73", "position": [9, 6], "step": 162, "ordinal_position": 163}, {"identifier": "P35", "position": [9, 5], "step": 163, "ordinal_position": 164}, {"identifier": "F30", "position": [9, 4], "step": 164, "ordinal_position": 165}, {"identifier": "A84", "position": [9, 3], "step": 165, "ordinal_position": 166}, {"identifier": "C06", "position": [9, 2], "step": 166, "ordinal_position": 167}, {"identifier": "C21", "position": [9, 1], "step": 167, "ordinal_position": 168}, {"identifier": "G99", "position": [8, 1], "step": 168, "ordinal_position": 169}, {"identifier": "E79", "position": [7, 1], "step": 169, "ordinal_position": 170}, {"identifier": "T86", "position": [7, 2], "step": 170, "ordinal_position": 171}, {"identifier": "I12", "position": [7, 3], "step": 171, "ordinal_position": 172}, {"identifier": "O25", "position": [6, 3], "step": 172, "ordinal_position": 173}, {"identifier": "T40", "position": [5, 3], "step": 173, "ordinal_position": 174}, {"identifier": "V83", "position": [5, 2], "step": 174, "ordinal_position": 175}, {"identifier": "X54", "position": [5, 1], "step": 175, "ordinal_position": 176}, {"identifier": "X68", "position": [4, 1], "step": 176, "ordinal_position": 177}, {"identifier": "H89", "position": [3, 1], "step": 177, "ordinal_position": 178}, {"identifier": "Z93", "position": [2, 1], "step": 178, "ordinal_position": 179}, {"identifier": "J78", "position": [1, 1], "step": 179, "ordinal_position": 180}, {"identifier": "L16", "position": [1, 2], "step": 180, "ordinal_position": 181}, {"identifier": "C63", "position": [1, 3], "step": 181, "ordinal_position": 182}, {"identifier": "X10", "position": [1, 4], "step": 182, "ordinal_position": 183}, {"identifier": "O24", "position": [1, 5], "step": 183, "ordinal_position": 184}, {"identifier": "N06", "position": [1, 6], "step": 184, "ordinal_position": 185}, {"identifier": "C07", "position": [1, 7], "step": 185, "ordinal_position": 186}, {"identifier": "K94", "position": [1, 8], "step": 186, "ordinal_position": 187}, {"identifier": "M59", "position": [1, 9], "step": 187, "ordinal_position": 188}, {"identifier": "V58", "position": [2, 9], "step": 188, "ordinal_position": 189}, {"identifier": "D07", "position": [3, 9], "step": 189, "ordinal_position": 190}, {"identifier": "A21", "position": [4, 9], "step": 190, "ordinal_position": 191}, {"identifier": "Q60", "position": [5, 9], "step": 191, "ordinal_position": 192}, {"identifier": "W75", "position": [6, 9], "step": 192, "ordinal_position": 193}, {"identifier": "I75", "position": [7, 9], "step": 193, "ordinal_position": 194}, {"identifier": "A78", "position": [8, 9], "step": 194, "ordinal_position": 195}, {"identifier": "N60", "position": [9, 9], "step": 195, "ordinal_position": 196}, {"identifier": "M68", "position": [9, 8], "step": 196, "ordinal_position": 197}, {"identifier": "X75", "position": [9, 7], "step": 197, "ordinal_position": 198}, {"identifier": "Y73", "position": [9, 6], "step": 198, "ordinal_position": 199}, {"identifier": "P35", "position": [9, 5], "step": 199, "ordinal_position": 200}, {"identifier": "F30", "position": [9, 4], "step": 200, "ordinal_position": 201}, {"identifier": "A84", "position": [9, 3], "step": 201, "ordinal_position": 202}, {"identifier": "C06", "position": [9, 2], "step": 202, "ordinal_position": 203}, {"identifier": "C21", "position": [9, 1], "step": 203, "ordinal_position": 204}, {"identifier": "G99", "position": [8, 1], "step": 204, "ordinal_position": 205}, {"identifier": "E79", "position": [7, 1], "step": 205, "ordinal_position": 206}, {"identifier": "T86", "position": [7, 2], "step": 206, "ordinal_position": 207}, {"identifier": "I12", "position": [7, 3], "step": 207, "ordinal_position": 208}, {"identifier": "O25", "position": [6, 3], "step": 208, "ordinal_position": 209}, {"identifier": "T40", "position": [5, 3], "step": 209, "ordinal_position": 210}, {"identifier": "V83", "position": [5, 2], "step": 210, "ordinal_position": 211}, {"identifier": "X54", "position": [5, 1], "step": 211, "ordinal_position": 212}, {"identifier": "X68", "position": [4, 1], "step": 212, "ordinal_position": 213}, {"identifier": "H89", "position": [3, 1], "step": 213, "ordinal_position": 214}, {"identifier": "Z93", "position": [2, 1], "step": 214, "ordinal_position": 215}, {"identifier": "J78", "position": [1, 1], "step": 215, "ordinal_position": 216}, {"identifier": "L16", "position": [1, 2], "step": 216, "ordinal_position": 217}, {"identifier": "C63", "position": [1, 3], "step": 217, "ordinal_position": 218}, {"identifier": "X10", "position": [1, 4], "step": 218, "ordinal_position": 219}, {"identifier": "O24", "position": [1, 5], "step": 219, "ordinal_position": 220}, {"identifier": "N06", "position": [1, 6], "step": 220, "ordinal_position": 221}, {"identifier": "C07", "position": [1, 7], "step": 221, "ordinal_position": 222}, {"identifier": "K94", "position": [1, 8], "step": 222, "ordinal_position": 223}, {"identifier": "M59", "position": [1, 9], "step": 223, "ordinal_position": 224}, {"identifier": "V58", "position": [2, 9], "step": 224, "ordinal_position": 225}, {"identifier": "D07", "position": [3, 9], "step": 225, "ordinal_position": 226}, {"identifier": "A21", "position": [4, 9], "step": 226, "ordinal_position": 227}, {"identifier": "Q60", "position": [5, 9], "step": 227, "ordinal_position": 228}, {"identifier": "W75", "position": [6, 9], "step": 228, "ordinal_position": 229}, {"identifier": "I75", "position": [7, 9], "step": 229, "ordinal_position": 230}, {"identifier": "A78", "position": [8, 9], "step": 230, "ordinal_position": 231}, {"identifier": "N60", "position": [9, 9], "step": 231, "ordinal_position": 232}, {"identifier": "M68", "position": [9, 8], "step": 232, "ordinal_position": 233}, {"identifier": "X75", "position": [9, 7], "step": 233, "ordinal_position": 234}, {"identifier": "Y73", "position": [9, 6], "step": 234, "ordinal_position": 235}, {"identifier": "P35", "position": [9, 5], "step": 235, "ordinal_position": 236}, {"identifier": "F30", "position": [9, 4], "step": 236, "ordinal_position": 237}, {"identifier": "A84", "position": [9, 3], "step": 237, "ordinal_position": 238}, {"identifier": "C06", "position": [9, 2], "step": 238, "ordinal_position": 239}, {"identifier": "C21", "position": [9, 1], "step": 239, "ordinal_position": 240}, {"identifier": "G99", "position": [8, 1], "step": 240, "ordinal_position": 241}, {"identifier": "E79", "position": [7, 1], "step": 241, "ordinal_position": 242}, {"identifier": "T86", "position": [7, 2], "step": 242, "ordinal_position": 243}, {"identifier": "I12", "position": [7, 3], "step": 243, "ordinal_position": 244}, {"identifier": "O25", "position": [6, 3], "step": 244, "ordinal_position": 245}, {"identifier": "T40", "position": [5, 3], "step": 245, "ordinal_position": 246}, {"identifier": "V83", "position": [5, 2], "step": 246, "ordinal_position": 247}, {"identifier": "X54", "position": [5, 1], "step": 247, "ordinal_position": 248}, {"identifier": "X68", "position": [4, 1], "step": 248, "ordinal_position": 249}, {"identifier": "H89", "position": [3, 1], "step": 249, "ordinal_position": 250}, {"identifier": "Z93", "position": [2, 1], "step": 250, "ordinal_position": 251}, {"identifier": "J78", "position": [1, 1], "step": 251, "ordinal_position": 252}, {"identifier": "L16", "position": [1, 2], "step": 252, "ordinal_position": 253}, {"identifier": "C63", "position": [1, 3], "step": 253, "ordinal_position": 254}, {"identifier": "X10", "position": [1, 4], "step": 254, "ordinal_position": 255}, {"identifier": "O24", "position": [1, 5], "step": 255, "ordinal_position": 256}, {"identifier": "N06", "position": [1, 6], "step": 256, "ordinal_position": 257}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 257, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_017.json"}} {"qa_id": "2b8383d520c0418081d79cdbd1a281b4", "image_id": "L3-MazeLoop-test_11x11_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T56, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "T56", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U04", "traversal_path": [{"identifier": "T56", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "V57", "position": [3, 6], "step": 1, "ordinal_position": 2}, {"identifier": "U04", "position": [3, 7], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 3, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_018.json"}} {"qa_id": "8ce7a281c76c49649a4fdcf8a7d5cc07", "image_id": "L3-MazeLoop-test_11x11_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G56, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 10th position in this traversal?", "start_object_id": "G56", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [10], "ordinal_strings": ["10th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "H42", "traversal_path": [{"identifier": "G56", "position": [5, 1], "step": 0, "ordinal_position": 1}, {"identifier": "D22", "position": [6, 1], "step": 1, "ordinal_position": 2}, {"identifier": "G23", "position": [7, 1], "step": 2, "ordinal_position": 3}, {"identifier": "F29", "position": [8, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Y10", "position": [9, 1], "step": 4, "ordinal_position": 5}, {"identifier": "L09", "position": [9, 2], "step": 5, "ordinal_position": 6}, {"identifier": "U51", "position": [9, 3], "step": 6, "ordinal_position": 7}, {"identifier": "V81", "position": [8, 3], "step": 7, "ordinal_position": 8}, {"identifier": "T55", "position": [7, 3], "step": 8, "ordinal_position": 9}, {"identifier": "H42", "position": [7, 4], "step": 9, "ordinal_position": 10}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 10, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_018.json"}} {"qa_id": "7df76b4438f54a4f9ac9cb4ed61eb5b8", "image_id": "L3-MazeLoop-test_11x11_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W31, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "W31", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "I47", "traversal_path": [{"identifier": "W31", "position": [5, 9], "step": 0, "ordinal_position": 1}, {"identifier": "K22", "position": [4, 9], "step": 1, "ordinal_position": 2}, {"identifier": "Z79", "position": [3, 9], "step": 2, "ordinal_position": 3}, {"identifier": "F44", "position": [2, 9], "step": 3, "ordinal_position": 4}, {"identifier": "I47", "position": [1, 9], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 5, "direction": "left", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_018.json"}} {"qa_id": "b869d628df38407892935110e010e4b7", "image_id": "L3-MazeLoop-test_11x11_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R89, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "R89", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "N91", "traversal_path": [{"identifier": "R89", "position": [5, 5], "step": 0, "ordinal_position": 1}, {"identifier": "T59", "position": [5, 6], "step": 1, "ordinal_position": 2}, {"identifier": "D63", "position": [5, 7], "step": 2, "ordinal_position": 3}, {"identifier": "X50", "position": [6, 7], "step": 3, "ordinal_position": 4}, {"identifier": "I35", "position": [7, 7], "step": 4, "ordinal_position": 5}, {"identifier": "D79", "position": [7, 8], "step": 5, "ordinal_position": 6}, {"identifier": "N91", "position": [7, 9], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 7, "direction": "down", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_018.json"}} {"qa_id": "409322ab4f364da585c8db4566004d51", "image_id": "L3-MazeLoop-test_11x11_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T22, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 9th position in this traversal?", "start_object_id": "T22", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [9], "ordinal_strings": ["9th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "V88", "traversal_path": [{"identifier": "T22", "position": [6, 9], "step": 0, "ordinal_position": 1}, {"identifier": "N91", "position": [7, 9], "step": 1, "ordinal_position": 2}, {"identifier": "O43", "position": [8, 9], "step": 2, "ordinal_position": 3}, {"identifier": "A25", "position": [9, 9], "step": 3, "ordinal_position": 4}, {"identifier": "R04", "position": [9, 8], "step": 4, "ordinal_position": 5}, {"identifier": "F94", "position": [9, 7], "step": 5, "ordinal_position": 6}, {"identifier": "G05", "position": [9, 6], "step": 6, "ordinal_position": 7}, {"identifier": "P78", "position": [9, 5], "step": 7, "ordinal_position": 8}, {"identifier": "V88", "position": [8, 5], "step": 8, "ordinal_position": 9}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 9, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_018.json"}} {"qa_id": "9e578b57522f4738985a4b8cc323e8f9", "image_id": "L3-MazeLoop-test_11x11_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F29, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 85th position in this traversal?", "start_object_id": "F29", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [85], "ordinal_strings": ["85th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "R04", "traversal_path": [{"identifier": "F29", "position": [8, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Y10", "position": [9, 1], "step": 1, "ordinal_position": 2}, {"identifier": "L09", "position": [9, 2], "step": 2, "ordinal_position": 3}, {"identifier": "U51", "position": [9, 3], "step": 3, "ordinal_position": 4}, {"identifier": "V81", "position": [8, 3], "step": 4, "ordinal_position": 5}, {"identifier": "T55", "position": [7, 3], "step": 5, "ordinal_position": 6}, {"identifier": "H42", "position": [7, 4], "step": 6, "ordinal_position": 7}, {"identifier": "Q67", "position": [7, 5], "step": 7, "ordinal_position": 8}, {"identifier": "V88", "position": [8, 5], "step": 8, "ordinal_position": 9}, {"identifier": "P78", "position": [9, 5], "step": 9, "ordinal_position": 10}, {"identifier": "G05", "position": [9, 6], "step": 10, "ordinal_position": 11}, {"identifier": "F94", "position": [9, 7], "step": 11, "ordinal_position": 12}, {"identifier": "R04", "position": [9, 8], "step": 12, "ordinal_position": 13}, {"identifier": "A25", "position": [9, 9], "step": 13, "ordinal_position": 14}, {"identifier": "O43", "position": [8, 9], "step": 14, "ordinal_position": 15}, {"identifier": "N91", "position": [7, 9], "step": 15, "ordinal_position": 16}, {"identifier": "T22", "position": [6, 9], "step": 16, "ordinal_position": 17}, {"identifier": "W31", "position": [5, 9], "step": 17, "ordinal_position": 18}, {"identifier": "K22", "position": [4, 9], "step": 18, "ordinal_position": 19}, {"identifier": "Z79", "position": [3, 9], "step": 19, "ordinal_position": 20}, {"identifier": "F44", "position": [2, 9], "step": 20, "ordinal_position": 21}, {"identifier": "I47", "position": [1, 9], "step": 21, "ordinal_position": 22}, {"identifier": "U13", "position": [1, 8], "step": 22, "ordinal_position": 23}, {"identifier": "F38", "position": [1, 7], "step": 23, "ordinal_position": 24}, {"identifier": "X70", "position": [1, 6], "step": 24, "ordinal_position": 25}, {"identifier": "V03", "position": [1, 5], "step": 25, "ordinal_position": 26}, {"identifier": "W26", "position": [1, 4], "step": 26, "ordinal_position": 27}, {"identifier": "Q39", "position": [1, 3], "step": 27, "ordinal_position": 28}, {"identifier": "K62", "position": [1, 2], "step": 28, "ordinal_position": 29}, {"identifier": "I24", "position": [1, 1], "step": 29, "ordinal_position": 30}, {"identifier": "L52", "position": [2, 1], "step": 30, "ordinal_position": 31}, {"identifier": "U31", "position": [3, 1], "step": 31, "ordinal_position": 32}, {"identifier": "T67", "position": [4, 1], "step": 32, "ordinal_position": 33}, {"identifier": "G56", "position": [5, 1], "step": 33, "ordinal_position": 34}, {"identifier": "D22", "position": [6, 1], "step": 34, "ordinal_position": 35}, {"identifier": "G23", "position": [7, 1], "step": 35, "ordinal_position": 36}, {"identifier": "F29", "position": [8, 1], "step": 36, "ordinal_position": 37}, {"identifier": "Y10", "position": [9, 1], "step": 37, "ordinal_position": 38}, {"identifier": "L09", "position": [9, 2], "step": 38, "ordinal_position": 39}, {"identifier": "U51", "position": [9, 3], "step": 39, "ordinal_position": 40}, {"identifier": "V81", "position": [8, 3], "step": 40, "ordinal_position": 41}, {"identifier": "T55", "position": [7, 3], "step": 41, "ordinal_position": 42}, {"identifier": "H42", "position": [7, 4], "step": 42, "ordinal_position": 43}, {"identifier": "Q67", "position": [7, 5], "step": 43, "ordinal_position": 44}, {"identifier": "V88", "position": [8, 5], "step": 44, "ordinal_position": 45}, {"identifier": "P78", "position": [9, 5], "step": 45, "ordinal_position": 46}, {"identifier": "G05", "position": [9, 6], "step": 46, "ordinal_position": 47}, {"identifier": "F94", "position": [9, 7], "step": 47, "ordinal_position": 48}, {"identifier": "R04", "position": [9, 8], "step": 48, "ordinal_position": 49}, {"identifier": "A25", "position": [9, 9], "step": 49, "ordinal_position": 50}, {"identifier": "O43", "position": [8, 9], "step": 50, "ordinal_position": 51}, {"identifier": "N91", "position": [7, 9], "step": 51, "ordinal_position": 52}, {"identifier": "T22", "position": [6, 9], "step": 52, "ordinal_position": 53}, {"identifier": "W31", "position": [5, 9], "step": 53, "ordinal_position": 54}, {"identifier": "K22", "position": [4, 9], "step": 54, "ordinal_position": 55}, {"identifier": "Z79", "position": [3, 9], "step": 55, "ordinal_position": 56}, {"identifier": "F44", "position": [2, 9], "step": 56, "ordinal_position": 57}, {"identifier": "I47", "position": [1, 9], "step": 57, "ordinal_position": 58}, {"identifier": "U13", "position": [1, 8], "step": 58, "ordinal_position": 59}, {"identifier": "F38", "position": [1, 7], "step": 59, "ordinal_position": 60}, {"identifier": "X70", "position": [1, 6], "step": 60, "ordinal_position": 61}, {"identifier": "V03", "position": [1, 5], "step": 61, "ordinal_position": 62}, {"identifier": "W26", "position": [1, 4], "step": 62, "ordinal_position": 63}, {"identifier": "Q39", "position": [1, 3], "step": 63, "ordinal_position": 64}, {"identifier": "K62", "position": [1, 2], "step": 64, "ordinal_position": 65}, {"identifier": "I24", "position": [1, 1], "step": 65, "ordinal_position": 66}, {"identifier": "L52", "position": [2, 1], "step": 66, "ordinal_position": 67}, {"identifier": "U31", "position": [3, 1], "step": 67, "ordinal_position": 68}, {"identifier": "T67", "position": [4, 1], "step": 68, "ordinal_position": 69}, {"identifier": "G56", "position": [5, 1], "step": 69, "ordinal_position": 70}, {"identifier": "D22", "position": [6, 1], "step": 70, "ordinal_position": 71}, {"identifier": "G23", "position": [7, 1], "step": 71, "ordinal_position": 72}, {"identifier": "F29", "position": [8, 1], "step": 72, "ordinal_position": 73}, {"identifier": "Y10", "position": [9, 1], "step": 73, "ordinal_position": 74}, {"identifier": "L09", "position": [9, 2], "step": 74, "ordinal_position": 75}, {"identifier": "U51", "position": [9, 3], "step": 75, "ordinal_position": 76}, {"identifier": "V81", "position": [8, 3], "step": 76, "ordinal_position": 77}, {"identifier": "T55", "position": [7, 3], "step": 77, "ordinal_position": 78}, {"identifier": "H42", "position": [7, 4], "step": 78, "ordinal_position": 79}, {"identifier": "Q67", "position": [7, 5], "step": 79, "ordinal_position": 80}, {"identifier": "V88", "position": [8, 5], "step": 80, "ordinal_position": 81}, {"identifier": "P78", "position": [9, 5], "step": 81, "ordinal_position": 82}, {"identifier": "G05", "position": [9, 6], "step": 82, "ordinal_position": 83}, {"identifier": "F94", "position": [9, 7], "step": 83, "ordinal_position": 84}, {"identifier": "R04", "position": [9, 8], "step": 84, "ordinal_position": 85}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 85, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_018.json"}} {"qa_id": "582b4f4564534092bd512912e9d50866", "image_id": "L3-MazeLoop-test_11x11_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N91, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 70th position in this traversal?", "start_object_id": "N91", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [70], "ordinal_strings": ["70th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "K22", "traversal_path": [{"identifier": "N91", "position": [7, 9], "step": 0, "ordinal_position": 1}, {"identifier": "O43", "position": [8, 9], "step": 1, "ordinal_position": 2}, {"identifier": "A25", "position": [9, 9], "step": 2, "ordinal_position": 3}, {"identifier": "R04", "position": [9, 8], "step": 3, "ordinal_position": 4}, {"identifier": "F94", "position": [9, 7], "step": 4, "ordinal_position": 5}, {"identifier": "G05", "position": [9, 6], "step": 5, "ordinal_position": 6}, {"identifier": "P78", "position": [9, 5], "step": 6, "ordinal_position": 7}, {"identifier": "V88", "position": [8, 5], "step": 7, "ordinal_position": 8}, {"identifier": "Q67", "position": [7, 5], "step": 8, "ordinal_position": 9}, {"identifier": "H42", "position": [7, 4], "step": 9, "ordinal_position": 10}, {"identifier": "T55", "position": [7, 3], "step": 10, "ordinal_position": 11}, {"identifier": "V81", "position": [8, 3], "step": 11, "ordinal_position": 12}, {"identifier": "U51", "position": [9, 3], "step": 12, "ordinal_position": 13}, {"identifier": "L09", "position": [9, 2], "step": 13, "ordinal_position": 14}, {"identifier": "Y10", "position": [9, 1], "step": 14, "ordinal_position": 15}, {"identifier": "F29", "position": [8, 1], "step": 15, "ordinal_position": 16}, {"identifier": "G23", "position": [7, 1], "step": 16, "ordinal_position": 17}, {"identifier": "D22", "position": [6, 1], "step": 17, "ordinal_position": 18}, {"identifier": "G56", "position": [5, 1], "step": 18, "ordinal_position": 19}, {"identifier": "T67", "position": [4, 1], "step": 19, "ordinal_position": 20}, {"identifier": "U31", "position": [3, 1], "step": 20, "ordinal_position": 21}, {"identifier": "L52", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "I24", "position": [1, 1], "step": 22, "ordinal_position": 23}, {"identifier": "K62", "position": [1, 2], "step": 23, "ordinal_position": 24}, {"identifier": "Q39", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "W26", "position": [1, 4], "step": 25, "ordinal_position": 26}, {"identifier": "V03", "position": [1, 5], "step": 26, "ordinal_position": 27}, {"identifier": "X70", "position": [1, 6], "step": 27, "ordinal_position": 28}, {"identifier": "F38", "position": [1, 7], "step": 28, "ordinal_position": 29}, {"identifier": "U13", "position": [1, 8], "step": 29, "ordinal_position": 30}, {"identifier": "I47", "position": [1, 9], "step": 30, "ordinal_position": 31}, {"identifier": "F44", "position": [2, 9], "step": 31, "ordinal_position": 32}, {"identifier": "Z79", "position": [3, 9], "step": 32, "ordinal_position": 33}, {"identifier": "K22", "position": [4, 9], "step": 33, "ordinal_position": 34}, {"identifier": "W31", "position": [5, 9], "step": 34, "ordinal_position": 35}, {"identifier": "T22", "position": [6, 9], "step": 35, "ordinal_position": 36}, {"identifier": "N91", "position": [7, 9], "step": 36, "ordinal_position": 37}, {"identifier": "O43", "position": [8, 9], "step": 37, "ordinal_position": 38}, {"identifier": "A25", "position": [9, 9], "step": 38, "ordinal_position": 39}, {"identifier": "R04", "position": [9, 8], "step": 39, "ordinal_position": 40}, {"identifier": "F94", "position": [9, 7], "step": 40, "ordinal_position": 41}, {"identifier": "G05", "position": [9, 6], "step": 41, "ordinal_position": 42}, {"identifier": "P78", "position": [9, 5], "step": 42, "ordinal_position": 43}, {"identifier": "V88", "position": [8, 5], "step": 43, "ordinal_position": 44}, {"identifier": "Q67", "position": [7, 5], "step": 44, "ordinal_position": 45}, {"identifier": "H42", "position": [7, 4], "step": 45, "ordinal_position": 46}, {"identifier": "T55", "position": [7, 3], "step": 46, "ordinal_position": 47}, {"identifier": "V81", "position": [8, 3], "step": 47, "ordinal_position": 48}, {"identifier": "U51", "position": [9, 3], "step": 48, "ordinal_position": 49}, {"identifier": "L09", "position": [9, 2], "step": 49, "ordinal_position": 50}, {"identifier": "Y10", "position": [9, 1], "step": 50, "ordinal_position": 51}, {"identifier": "F29", "position": [8, 1], "step": 51, "ordinal_position": 52}, {"identifier": "G23", "position": [7, 1], "step": 52, "ordinal_position": 53}, {"identifier": "D22", "position": [6, 1], "step": 53, "ordinal_position": 54}, {"identifier": "G56", "position": [5, 1], "step": 54, "ordinal_position": 55}, {"identifier": "T67", "position": [4, 1], "step": 55, "ordinal_position": 56}, {"identifier": "U31", "position": [3, 1], "step": 56, "ordinal_position": 57}, {"identifier": "L52", "position": [2, 1], "step": 57, "ordinal_position": 58}, {"identifier": "I24", "position": [1, 1], "step": 58, "ordinal_position": 59}, {"identifier": "K62", "position": [1, 2], "step": 59, "ordinal_position": 60}, {"identifier": "Q39", "position": [1, 3], "step": 60, "ordinal_position": 61}, {"identifier": "W26", "position": [1, 4], "step": 61, "ordinal_position": 62}, {"identifier": "V03", "position": [1, 5], "step": 62, "ordinal_position": 63}, {"identifier": "X70", "position": [1, 6], "step": 63, "ordinal_position": 64}, {"identifier": "F38", "position": [1, 7], "step": 64, "ordinal_position": 65}, {"identifier": "U13", "position": [1, 8], "step": 65, "ordinal_position": 66}, {"identifier": "I47", "position": [1, 9], "step": 66, "ordinal_position": 67}, {"identifier": "F44", "position": [2, 9], "step": 67, "ordinal_position": 68}, {"identifier": "Z79", "position": [3, 9], "step": 68, "ordinal_position": 69}, {"identifier": "K22", "position": [4, 9], "step": 69, "ordinal_position": 70}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 70, "direction": "right", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_018.json"}} {"qa_id": "109ced8bce124b9680c2830bbc8106ec", "image_id": "L3-MazeLoop-test_11x11_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V03, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 47th position in this traversal?", "start_object_id": "V03", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [47], "ordinal_strings": ["47th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "N91", "traversal_path": [{"identifier": "V03", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "X70", "position": [1, 6], "step": 1, "ordinal_position": 2}, {"identifier": "F38", "position": [1, 7], "step": 2, "ordinal_position": 3}, {"identifier": "U13", "position": [1, 8], "step": 3, "ordinal_position": 4}, {"identifier": "I47", "position": [1, 9], "step": 4, "ordinal_position": 5}, {"identifier": "F44", "position": [2, 9], "step": 5, "ordinal_position": 6}, {"identifier": "Z79", "position": [3, 9], "step": 6, "ordinal_position": 7}, {"identifier": "K22", "position": [4, 9], "step": 7, "ordinal_position": 8}, {"identifier": "W31", "position": [5, 9], "step": 8, "ordinal_position": 9}, {"identifier": "T22", "position": [6, 9], "step": 9, "ordinal_position": 10}, {"identifier": "N91", "position": [7, 9], "step": 10, "ordinal_position": 11}, {"identifier": "O43", "position": [8, 9], "step": 11, "ordinal_position": 12}, {"identifier": "A25", "position": [9, 9], "step": 12, "ordinal_position": 13}, {"identifier": "R04", "position": [9, 8], "step": 13, "ordinal_position": 14}, {"identifier": "F94", "position": [9, 7], "step": 14, "ordinal_position": 15}, {"identifier": "G05", "position": [9, 6], "step": 15, "ordinal_position": 16}, {"identifier": "P78", "position": [9, 5], "step": 16, "ordinal_position": 17}, {"identifier": "V88", "position": [8, 5], "step": 17, "ordinal_position": 18}, {"identifier": "Q67", "position": [7, 5], "step": 18, "ordinal_position": 19}, {"identifier": "H42", "position": [7, 4], "step": 19, "ordinal_position": 20}, {"identifier": "T55", "position": [7, 3], "step": 20, "ordinal_position": 21}, {"identifier": "V81", "position": [8, 3], "step": 21, "ordinal_position": 22}, {"identifier": "U51", "position": [9, 3], "step": 22, "ordinal_position": 23}, {"identifier": "L09", "position": [9, 2], "step": 23, "ordinal_position": 24}, {"identifier": "Y10", "position": [9, 1], "step": 24, "ordinal_position": 25}, {"identifier": "F29", "position": [8, 1], "step": 25, "ordinal_position": 26}, {"identifier": "G23", "position": [7, 1], "step": 26, "ordinal_position": 27}, {"identifier": "D22", "position": [6, 1], "step": 27, "ordinal_position": 28}, {"identifier": "G56", "position": [5, 1], "step": 28, "ordinal_position": 29}, {"identifier": "T67", "position": [4, 1], "step": 29, "ordinal_position": 30}, {"identifier": "U31", "position": [3, 1], "step": 30, "ordinal_position": 31}, {"identifier": "L52", "position": [2, 1], "step": 31, "ordinal_position": 32}, {"identifier": "I24", "position": [1, 1], "step": 32, "ordinal_position": 33}, {"identifier": "K62", "position": [1, 2], "step": 33, "ordinal_position": 34}, {"identifier": "Q39", "position": [1, 3], "step": 34, "ordinal_position": 35}, {"identifier": "W26", "position": [1, 4], "step": 35, "ordinal_position": 36}, {"identifier": "V03", "position": [1, 5], "step": 36, "ordinal_position": 37}, {"identifier": "X70", "position": [1, 6], "step": 37, "ordinal_position": 38}, {"identifier": "F38", "position": [1, 7], "step": 38, "ordinal_position": 39}, {"identifier": "U13", "position": [1, 8], "step": 39, "ordinal_position": 40}, {"identifier": "I47", "position": [1, 9], "step": 40, "ordinal_position": 41}, {"identifier": "F44", "position": [2, 9], "step": 41, "ordinal_position": 42}, {"identifier": "Z79", "position": [3, 9], "step": 42, "ordinal_position": 43}, {"identifier": "K22", "position": [4, 9], "step": 43, "ordinal_position": 44}, {"identifier": "W31", "position": [5, 9], "step": 44, "ordinal_position": 45}, {"identifier": "T22", "position": [6, 9], "step": 45, "ordinal_position": 46}, {"identifier": "N91", "position": [7, 9], "step": 46, "ordinal_position": 47}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 47, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_018.json"}} {"qa_id": "e2a160bacc174f37ba32eeb59339714f", "image_id": "L3-MazeLoop-test_11x11_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D22, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 15th position in this traversal?", "start_object_id": "D22", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [15], "ordinal_strings": ["15th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "R04", "traversal_path": [{"identifier": "D22", "position": [6, 1], "step": 0, "ordinal_position": 1}, {"identifier": "G23", "position": [7, 1], "step": 1, "ordinal_position": 2}, {"identifier": "F29", "position": [8, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Y10", "position": [9, 1], "step": 3, "ordinal_position": 4}, {"identifier": "L09", "position": [9, 2], "step": 4, "ordinal_position": 5}, {"identifier": "U51", "position": [9, 3], "step": 5, "ordinal_position": 6}, {"identifier": "V81", "position": [8, 3], "step": 6, "ordinal_position": 7}, {"identifier": "T55", "position": [7, 3], "step": 7, "ordinal_position": 8}, {"identifier": "H42", "position": [7, 4], "step": 8, "ordinal_position": 9}, {"identifier": "Q67", "position": [7, 5], "step": 9, "ordinal_position": 10}, {"identifier": "V88", "position": [8, 5], "step": 10, "ordinal_position": 11}, {"identifier": "P78", "position": [9, 5], "step": 11, "ordinal_position": 12}, {"identifier": "G05", "position": [9, 6], "step": 12, "ordinal_position": 13}, {"identifier": "F94", "position": [9, 7], "step": 13, "ordinal_position": 14}, {"identifier": "R04", "position": [9, 8], "step": 14, "ordinal_position": 15}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 15, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_018.json"}} {"qa_id": "4c54332f7eea4ebfa3ed05f039232372", "image_id": "L3-MazeLoop-test_11x11_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L52, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 12th position in this traversal?", "start_object_id": "L52", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [12], "ordinal_strings": ["12th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "T55", "traversal_path": [{"identifier": "L52", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "U31", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "T67", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "G56", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "D22", "position": [6, 1], "step": 4, "ordinal_position": 5}, {"identifier": "G23", "position": [7, 1], "step": 5, "ordinal_position": 6}, {"identifier": "F29", "position": [8, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Y10", "position": [9, 1], "step": 7, "ordinal_position": 8}, {"identifier": "L09", "position": [9, 2], "step": 8, "ordinal_position": 9}, {"identifier": "U51", "position": [9, 3], "step": 9, "ordinal_position": 10}, {"identifier": "V81", "position": [8, 3], "step": 10, "ordinal_position": 11}, {"identifier": "T55", "position": [7, 3], "step": 11, "ordinal_position": 12}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 12, "direction": "right", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_018.json"}} {"qa_id": "405b6314ff2d428b97aa196a0d992b0f", "image_id": "L3-MazeLoop-test_11x11_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E14, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 155th position in this traversal?", "start_object_id": "E14", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [155], "ordinal_strings": ["155th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "U13", "traversal_path": [{"identifier": "E14", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "Q11", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "Q57", "position": [4, 3], "step": 2, "ordinal_position": 3}, {"identifier": "X26", "position": [3, 3], "step": 3, "ordinal_position": 4}, {"identifier": "Z85", "position": [2, 3], "step": 4, "ordinal_position": 5}, {"identifier": "Q39", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "W26", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "V03", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "X70", "position": [1, 6], "step": 8, "ordinal_position": 9}, {"identifier": "F38", "position": [1, 7], "step": 9, "ordinal_position": 10}, {"identifier": "U13", "position": [1, 8], "step": 10, "ordinal_position": 11}, {"identifier": "I47", "position": [1, 9], "step": 11, "ordinal_position": 12}, {"identifier": "F44", "position": [2, 9], "step": 12, "ordinal_position": 13}, {"identifier": "Z79", "position": [3, 9], "step": 13, "ordinal_position": 14}, {"identifier": "K22", "position": [4, 9], "step": 14, "ordinal_position": 15}, {"identifier": "W31", "position": [5, 9], "step": 15, "ordinal_position": 16}, {"identifier": "T22", "position": [6, 9], "step": 16, "ordinal_position": 17}, {"identifier": "N91", "position": [7, 9], "step": 17, "ordinal_position": 18}, {"identifier": "O43", "position": [8, 9], "step": 18, "ordinal_position": 19}, {"identifier": "A25", "position": [9, 9], "step": 19, "ordinal_position": 20}, {"identifier": "R04", "position": [9, 8], "step": 20, "ordinal_position": 21}, {"identifier": "F94", "position": [9, 7], "step": 21, "ordinal_position": 22}, {"identifier": "G05", "position": [9, 6], "step": 22, "ordinal_position": 23}, {"identifier": "P78", "position": [9, 5], "step": 23, "ordinal_position": 24}, {"identifier": "V88", "position": [8, 5], "step": 24, "ordinal_position": 25}, {"identifier": "Q67", "position": [7, 5], "step": 25, "ordinal_position": 26}, {"identifier": "H42", "position": [7, 4], "step": 26, "ordinal_position": 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"step": 39, "ordinal_position": 40}, {"identifier": "K62", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "Q39", "position": [1, 3], "step": 41, "ordinal_position": 42}, {"identifier": "W26", "position": [1, 4], "step": 42, "ordinal_position": 43}, {"identifier": "V03", "position": [1, 5], "step": 43, "ordinal_position": 44}, {"identifier": "X70", "position": [1, 6], "step": 44, "ordinal_position": 45}, {"identifier": "F38", "position": [1, 7], "step": 45, "ordinal_position": 46}, {"identifier": "U13", "position": [1, 8], "step": 46, "ordinal_position": 47}, {"identifier": "I47", "position": [1, 9], "step": 47, "ordinal_position": 48}, {"identifier": "F44", "position": [2, 9], "step": 48, "ordinal_position": 49}, {"identifier": "Z79", "position": [3, 9], "step": 49, "ordinal_position": 50}, {"identifier": "K22", "position": [4, 9], "step": 50, "ordinal_position": 51}, {"identifier": "W31", "position": [5, 9], "step": 51, "ordinal_position": 52}, {"identifier": "T22", "position": [6, 9], "step": 52, "ordinal_position": 53}, {"identifier": "N91", "position": [7, 9], "step": 53, "ordinal_position": 54}, {"identifier": "O43", "position": [8, 9], "step": 54, "ordinal_position": 55}, {"identifier": "A25", "position": [9, 9], "step": 55, "ordinal_position": 56}, {"identifier": "R04", "position": [9, 8], "step": 56, "ordinal_position": 57}, {"identifier": "F94", "position": [9, 7], "step": 57, "ordinal_position": 58}, {"identifier": "G05", "position": [9, 6], "step": 58, "ordinal_position": 59}, {"identifier": "P78", "position": [9, 5], "step": 59, "ordinal_position": 60}, {"identifier": "V88", "position": [8, 5], "step": 60, "ordinal_position": 61}, {"identifier": "Q67", "position": [7, 5], "step": 61, "ordinal_position": 62}, {"identifier": "H42", "position": [7, 4], "step": 62, "ordinal_position": 63}, {"identifier": "T55", "position": [7, 3], "step": 63, "ordinal_position": 64}, {"identifier": "V81", "position": [8, 3], "step": 64, 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"position": [1, 3], "step": 77, "ordinal_position": 78}, {"identifier": "W26", "position": [1, 4], "step": 78, "ordinal_position": 79}, {"identifier": "V03", "position": [1, 5], "step": 79, "ordinal_position": 80}, {"identifier": "X70", "position": [1, 6], "step": 80, "ordinal_position": 81}, {"identifier": "F38", "position": [1, 7], "step": 81, "ordinal_position": 82}, {"identifier": "U13", "position": [1, 8], "step": 82, "ordinal_position": 83}, {"identifier": "I47", "position": [1, 9], "step": 83, "ordinal_position": 84}, {"identifier": "F44", "position": [2, 9], "step": 84, "ordinal_position": 85}, {"identifier": "Z79", "position": [3, 9], "step": 85, "ordinal_position": 86}, {"identifier": "K22", "position": [4, 9], "step": 86, "ordinal_position": 87}, {"identifier": "W31", "position": [5, 9], "step": 87, "ordinal_position": 88}, {"identifier": "T22", "position": [6, 9], "step": 88, "ordinal_position": 89}, {"identifier": "N91", "position": [7, 9], "step": 89, "ordinal_position": 90}, {"identifier": "O43", "position": [8, 9], "step": 90, "ordinal_position": 91}, {"identifier": "A25", "position": [9, 9], "step": 91, "ordinal_position": 92}, {"identifier": "R04", "position": [9, 8], "step": 92, "ordinal_position": 93}, {"identifier": "F94", "position": [9, 7], "step": 93, "ordinal_position": 94}, {"identifier": "G05", "position": [9, 6], "step": 94, "ordinal_position": 95}, {"identifier": "P78", "position": [9, 5], "step": 95, "ordinal_position": 96}, {"identifier": "V88", "position": [8, 5], "step": 96, "ordinal_position": 97}, {"identifier": "Q67", "position": [7, 5], "step": 97, "ordinal_position": 98}, {"identifier": "H42", "position": [7, 4], "step": 98, "ordinal_position": 99}, {"identifier": "T55", "position": [7, 3], "step": 99, "ordinal_position": 100}, {"identifier": "V81", "position": [8, 3], "step": 100, "ordinal_position": 101}, {"identifier": "U51", "position": [9, 3], "step": 101, "ordinal_position": 102}, {"identifier": "L09", "position": [9, 2], "step": 102, "ordinal_position": 103}, {"identifier": "Y10", "position": [9, 1], "step": 103, "ordinal_position": 104}, {"identifier": "F29", "position": [8, 1], "step": 104, "ordinal_position": 105}, {"identifier": "G23", "position": [7, 1], "step": 105, "ordinal_position": 106}, {"identifier": "D22", "position": [6, 1], "step": 106, "ordinal_position": 107}, {"identifier": "G56", "position": [5, 1], "step": 107, "ordinal_position": 108}, {"identifier": "T67", "position": [4, 1], "step": 108, "ordinal_position": 109}, {"identifier": "U31", "position": [3, 1], "step": 109, "ordinal_position": 110}, {"identifier": "L52", "position": [2, 1], "step": 110, "ordinal_position": 111}, {"identifier": "I24", "position": [1, 1], "step": 111, "ordinal_position": 112}, {"identifier": "K62", "position": [1, 2], "step": 112, "ordinal_position": 113}, {"identifier": "Q39", "position": [1, 3], "step": 113, "ordinal_position": 114}, {"identifier": "W26", "position": [1, 4], "step": 114, "ordinal_position": 115}, {"identifier": "V03", "position": [1, 5], "step": 115, "ordinal_position": 116}, {"identifier": "X70", "position": [1, 6], "step": 116, "ordinal_position": 117}, {"identifier": "F38", "position": [1, 7], "step": 117, "ordinal_position": 118}, {"identifier": "U13", "position": [1, 8], "step": 118, "ordinal_position": 119}, {"identifier": "I47", "position": [1, 9], "step": 119, "ordinal_position": 120}, {"identifier": "F44", "position": [2, 9], "step": 120, "ordinal_position": 121}, {"identifier": "Z79", "position": [3, 9], "step": 121, "ordinal_position": 122}, {"identifier": "K22", "position": [4, 9], "step": 122, "ordinal_position": 123}, {"identifier": "W31", "position": [5, 9], "step": 123, "ordinal_position": 124}, {"identifier": "T22", "position": [6, 9], "step": 124, "ordinal_position": 125}, {"identifier": "N91", "position": [7, 9], "step": 125, "ordinal_position": 126}, {"identifier": "O43", "position": [8, 9], "step": 126, "ordinal_position": 127}, {"identifier": "A25", "position": [9, 9], "step": 127, "ordinal_position": 128}, {"identifier": "R04", "position": [9, 8], "step": 128, "ordinal_position": 129}, {"identifier": "F94", "position": [9, 7], "step": 129, "ordinal_position": 130}, {"identifier": "G05", "position": [9, 6], "step": 130, "ordinal_position": 131}, {"identifier": "P78", "position": [9, 5], "step": 131, "ordinal_position": 132}, {"identifier": "V88", "position": [8, 5], "step": 132, "ordinal_position": 133}, {"identifier": "Q67", "position": [7, 5], "step": 133, "ordinal_position": 134}, {"identifier": "H42", "position": [7, 4], "step": 134, "ordinal_position": 135}, {"identifier": "T55", "position": [7, 3], "step": 135, "ordinal_position": 136}, {"identifier": "V81", "position": [8, 3], "step": 136, "ordinal_position": 137}, {"identifier": "U51", "position": [9, 3], "step": 137, "ordinal_position": 138}, {"identifier": "L09", "position": [9, 2], "step": 138, "ordinal_position": 139}, {"identifier": "Y10", "position": [9, 1], "step": 139, "ordinal_position": 140}, {"identifier": "F29", "position": [8, 1], "step": 140, "ordinal_position": 141}, {"identifier": "G23", "position": [7, 1], "step": 141, "ordinal_position": 142}, {"identifier": "D22", "position": [6, 1], "step": 142, "ordinal_position": 143}, {"identifier": "G56", "position": [5, 1], "step": 143, "ordinal_position": 144}, {"identifier": "T67", "position": [4, 1], "step": 144, "ordinal_position": 145}, {"identifier": "U31", "position": [3, 1], "step": 145, "ordinal_position": 146}, {"identifier": "L52", "position": [2, 1], "step": 146, "ordinal_position": 147}, {"identifier": "I24", "position": [1, 1], "step": 147, "ordinal_position": 148}, {"identifier": "K62", "position": [1, 2], "step": 148, "ordinal_position": 149}, {"identifier": "Q39", "position": [1, 3], "step": 149, "ordinal_position": 150}, {"identifier": "W26", "position": [1, 4], "step": 150, "ordinal_position": 151}, {"identifier": "V03", "position": [1, 5], "step": 151, "ordinal_position": 152}, {"identifier": "X70", "position": [1, 6], "step": 152, "ordinal_position": 153}, {"identifier": "F38", "position": [1, 7], "step": 153, "ordinal_position": 154}, {"identifier": "U13", "position": [1, 8], "step": 154, "ordinal_position": 155}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 155, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_018.json"}} {"qa_id": "5d75d3f21cfc4582a22d6fc9d024bd04", "image_id": "L3-MazeLoop-test_11x11_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D57, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 191st position in this traversal?", "start_object_id": "D57", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [191], "ordinal_strings": ["191st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "T22", "traversal_path": [{"identifier": "D57", "position": [3, 8], "step": 0, "ordinal_position": 1}, {"identifier": "U04", "position": [3, 7], "step": 1, "ordinal_position": 2}, {"identifier": "V57", "position": [3, 6], "step": 2, "ordinal_position": 3}, {"identifier": "T56", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "H77", "position": [4, 5], "step": 4, "ordinal_position": 5}, {"identifier": "R89", "position": [5, 5], "step": 5, "ordinal_position": 6}, {"identifier": "T59", "position": [5, 6], "step": 6, "ordinal_position": 7}, {"identifier": "D63", "position": [5, 7], "step": 7, "ordinal_position": 8}, {"identifier": "X50", "position": [6, 7], "step": 8, "ordinal_position": 9}, {"identifier": "I35", "position": [7, 7], "step": 9, "ordinal_position": 10}, {"identifier": "D79", "position": [7, 8], "step": 10, "ordinal_position": 11}, {"identifier": "N91", "position": [7, 9], "step": 11, "ordinal_position": 12}, {"identifier": "O43", "position": [8, 9], "step": 12, "ordinal_position": 13}, {"identifier": "A25", "position": [9, 9], "step": 13, "ordinal_position": 14}, {"identifier": "R04", "position": [9, 8], "step": 14, "ordinal_position": 15}, {"identifier": "F94", "position": [9, 7], "step": 15, "ordinal_position": 16}, {"identifier": "G05", "position": [9, 6], "step": 16, "ordinal_position": 17}, {"identifier": "P78", "position": [9, 5], "step": 17, "ordinal_position": 18}, {"identifier": "V88", "position": [8, 5], "step": 18, "ordinal_position": 19}, {"identifier": "Q67", "position": [7, 5], "step": 19, "ordinal_position": 20}, {"identifier": "H42", "position": [7, 4], "step": 20, "ordinal_position": 21}, {"identifier": "T55", "position": [7, 3], "step": 21, "ordinal_position": 22}, {"identifier": "V81", "position": [8, 3], "step": 22, "ordinal_position": 23}, {"identifier": "U51", "position": [9, 3], "step": 23, "ordinal_position": 24}, {"identifier": "L09", "position": [9, 2], "step": 24, "ordinal_position": 25}, {"identifier": "Y10", "position": [9, 1], "step": 25, "ordinal_position": 26}, {"identifier": "F29", "position": [8, 1], "step": 26, "ordinal_position": 27}, {"identifier": "G23", "position": [7, 1], "step": 27, "ordinal_position": 28}, {"identifier": "D22", "position": [6, 1], "step": 28, "ordinal_position": 29}, {"identifier": "G56", "position": [5, 1], "step": 29, "ordinal_position": 30}, {"identifier": "T67", "position": [4, 1], "step": 30, "ordinal_position": 31}, {"identifier": "U31", "position": [3, 1], "step": 31, "ordinal_position": 32}, {"identifier": "L52", "position": [2, 1], "step": 32, "ordinal_position": 33}, {"identifier": "I24", "position": [1, 1], "step": 33, "ordinal_position": 34}, {"identifier": "K62", "position": [1, 2], "step": 34, "ordinal_position": 35}, {"identifier": "Q39", "position": [1, 3], "step": 35, "ordinal_position": 36}, {"identifier": "W26", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "V03", "position": [1, 5], "step": 37, "ordinal_position": 38}, {"identifier": "X70", "position": [1, 6], "step": 38, "ordinal_position": 39}, {"identifier": "F38", "position": [1, 7], "step": 39, "ordinal_position": 40}, {"identifier": "U13", "position": [1, 8], "step": 40, "ordinal_position": 41}, {"identifier": "I47", "position": [1, 9], "step": 41, "ordinal_position": 42}, {"identifier": "F44", "position": [2, 9], "step": 42, "ordinal_position": 43}, {"identifier": "Z79", "position": [3, 9], "step": 43, "ordinal_position": 44}, {"identifier": "K22", "position": [4, 9], "step": 44, "ordinal_position": 45}, {"identifier": "W31", "position": [5, 9], "step": 45, "ordinal_position": 46}, {"identifier": "T22", "position": [6, 9], "step": 46, "ordinal_position": 47}, {"identifier": "N91", "position": [7, 9], "step": 47, "ordinal_position": 48}, {"identifier": "O43", "position": [8, 9], "step": 48, "ordinal_position": 49}, {"identifier": "A25", "position": [9, 9], "step": 49, "ordinal_position": 50}, {"identifier": "R04", "position": [9, 8], "step": 50, "ordinal_position": 51}, {"identifier": "F94", "position": [9, 7], "step": 51, "ordinal_position": 52}, {"identifier": "G05", "position": [9, 6], "step": 52, "ordinal_position": 53}, {"identifier": "P78", "position": [9, 5], "step": 53, "ordinal_position": 54}, {"identifier": "V88", "position": [8, 5], "step": 54, "ordinal_position": 55}, {"identifier": "Q67", "position": [7, 5], "step": 55, "ordinal_position": 56}, {"identifier": "H42", "position": [7, 4], "step": 56, "ordinal_position": 57}, {"identifier": "T55", "position": [7, 3], "step": 57, "ordinal_position": 58}, {"identifier": "V81", "position": [8, 3], "step": 58, "ordinal_position": 59}, {"identifier": "U51", "position": [9, 3], "step": 59, "ordinal_position": 60}, {"identifier": "L09", "position": [9, 2], "step": 60, "ordinal_position": 61}, {"identifier": "Y10", "position": [9, 1], "step": 61, "ordinal_position": 62}, {"identifier": "F29", "position": [8, 1], "step": 62, "ordinal_position": 63}, {"identifier": "G23", "position": [7, 1], "step": 63, "ordinal_position": 64}, {"identifier": "D22", "position": [6, 1], "step": 64, "ordinal_position": 65}, {"identifier": "G56", "position": [5, 1], "step": 65, "ordinal_position": 66}, {"identifier": "T67", "position": [4, 1], "step": 66, "ordinal_position": 67}, {"identifier": "U31", "position": [3, 1], "step": 67, "ordinal_position": 68}, {"identifier": "L52", "position": [2, 1], "step": 68, "ordinal_position": 69}, {"identifier": "I24", "position": [1, 1], "step": 69, "ordinal_position": 70}, {"identifier": "K62", "position": [1, 2], "step": 70, "ordinal_position": 71}, {"identifier": "Q39", "position": [1, 3], "step": 71, "ordinal_position": 72}, {"identifier": "W26", "position": [1, 4], "step": 72, "ordinal_position": 73}, {"identifier": "V03", "position": [1, 5], "step": 73, "ordinal_position": 74}, {"identifier": "X70", "position": [1, 6], "step": 74, "ordinal_position": 75}, {"identifier": "F38", "position": [1, 7], "step": 75, "ordinal_position": 76}, {"identifier": "U13", "position": [1, 8], "step": 76, "ordinal_position": 77}, {"identifier": "I47", "position": [1, 9], "step": 77, "ordinal_position": 78}, {"identifier": "F44", "position": [2, 9], "step": 78, "ordinal_position": 79}, {"identifier": "Z79", "position": [3, 9], "step": 79, "ordinal_position": 80}, {"identifier": "K22", "position": [4, 9], "step": 80, "ordinal_position": 81}, {"identifier": "W31", "position": [5, 9], "step": 81, "ordinal_position": 82}, {"identifier": "T22", "position": [6, 9], "step": 82, "ordinal_position": 83}, {"identifier": "N91", "position": [7, 9], "step": 83, "ordinal_position": 84}, {"identifier": "O43", "position": [8, 9], "step": 84, "ordinal_position": 85}, {"identifier": "A25", "position": [9, 9], "step": 85, "ordinal_position": 86}, {"identifier": "R04", "position": [9, 8], "step": 86, "ordinal_position": 87}, {"identifier": "F94", "position": [9, 7], "step": 87, "ordinal_position": 88}, {"identifier": "G05", "position": [9, 6], "step": 88, "ordinal_position": 89}, {"identifier": "P78", "position": [9, 5], "step": 89, "ordinal_position": 90}, {"identifier": "V88", "position": [8, 5], "step": 90, "ordinal_position": 91}, {"identifier": "Q67", "position": [7, 5], "step": 91, "ordinal_position": 92}, {"identifier": "H42", "position": [7, 4], "step": 92, "ordinal_position": 93}, {"identifier": "T55", "position": [7, 3], "step": 93, "ordinal_position": 94}, {"identifier": "V81", "position": [8, 3], "step": 94, "ordinal_position": 95}, {"identifier": "U51", "position": [9, 3], "step": 95, "ordinal_position": 96}, {"identifier": "L09", "position": [9, 2], "step": 96, "ordinal_position": 97}, {"identifier": "Y10", "position": [9, 1], "step": 97, "ordinal_position": 98}, {"identifier": "F29", "position": [8, 1], "step": 98, "ordinal_position": 99}, {"identifier": "G23", "position": [7, 1], "step": 99, "ordinal_position": 100}, {"identifier": "D22", "position": [6, 1], "step": 100, "ordinal_position": 101}, {"identifier": "G56", "position": [5, 1], "step": 101, "ordinal_position": 102}, {"identifier": "T67", "position": [4, 1], "step": 102, "ordinal_position": 103}, {"identifier": "U31", "position": [3, 1], "step": 103, "ordinal_position": 104}, {"identifier": "L52", "position": [2, 1], "step": 104, "ordinal_position": 105}, {"identifier": "I24", "position": [1, 1], "step": 105, "ordinal_position": 106}, {"identifier": "K62", "position": [1, 2], "step": 106, "ordinal_position": 107}, {"identifier": "Q39", "position": [1, 3], "step": 107, "ordinal_position": 108}, {"identifier": "W26", "position": [1, 4], "step": 108, "ordinal_position": 109}, {"identifier": "V03", "position": [1, 5], "step": 109, "ordinal_position": 110}, {"identifier": "X70", "position": [1, 6], "step": 110, "ordinal_position": 111}, {"identifier": "F38", "position": [1, 7], "step": 111, "ordinal_position": 112}, {"identifier": "U13", "position": [1, 8], "step": 112, "ordinal_position": 113}, {"identifier": "I47", "position": [1, 9], "step": 113, "ordinal_position": 114}, {"identifier": "F44", "position": [2, 9], "step": 114, "ordinal_position": 115}, {"identifier": "Z79", "position": [3, 9], "step": 115, "ordinal_position": 116}, {"identifier": "K22", "position": [4, 9], "step": 116, "ordinal_position": 117}, {"identifier": "W31", "position": [5, 9], "step": 117, "ordinal_position": 118}, {"identifier": "T22", "position": [6, 9], "step": 118, "ordinal_position": 119}, {"identifier": "N91", "position": [7, 9], "step": 119, "ordinal_position": 120}, {"identifier": "O43", "position": [8, 9], "step": 120, "ordinal_position": 121}, {"identifier": "A25", "position": [9, 9], "step": 121, "ordinal_position": 122}, {"identifier": "R04", "position": [9, 8], "step": 122, "ordinal_position": 123}, {"identifier": "F94", "position": [9, 7], "step": 123, "ordinal_position": 124}, {"identifier": "G05", "position": [9, 6], "step": 124, "ordinal_position": 125}, {"identifier": "P78", "position": [9, 5], "step": 125, "ordinal_position": 126}, {"identifier": "V88", "position": [8, 5], "step": 126, "ordinal_position": 127}, {"identifier": "Q67", "position": [7, 5], "step": 127, "ordinal_position": 128}, {"identifier": "H42", "position": [7, 4], "step": 128, "ordinal_position": 129}, {"identifier": "T55", "position": [7, 3], "step": 129, "ordinal_position": 130}, {"identifier": "V81", "position": [8, 3], "step": 130, "ordinal_position": 131}, {"identifier": "U51", "position": [9, 3], "step": 131, "ordinal_position": 132}, {"identifier": "L09", "position": [9, 2], "step": 132, "ordinal_position": 133}, {"identifier": "Y10", "position": [9, 1], "step": 133, "ordinal_position": 134}, {"identifier": "F29", "position": [8, 1], "step": 134, "ordinal_position": 135}, {"identifier": "G23", "position": [7, 1], "step": 135, "ordinal_position": 136}, {"identifier": "D22", "position": [6, 1], "step": 136, "ordinal_position": 137}, {"identifier": "G56", "position": [5, 1], "step": 137, "ordinal_position": 138}, {"identifier": "T67", "position": [4, 1], "step": 138, "ordinal_position": 139}, {"identifier": "U31", "position": [3, 1], "step": 139, "ordinal_position": 140}, {"identifier": "L52", "position": [2, 1], "step": 140, "ordinal_position": 141}, {"identifier": "I24", "position": [1, 1], "step": 141, "ordinal_position": 142}, {"identifier": "K62", "position": [1, 2], "step": 142, "ordinal_position": 143}, {"identifier": "Q39", "position": [1, 3], "step": 143, "ordinal_position": 144}, {"identifier": "W26", "position": [1, 4], "step": 144, "ordinal_position": 145}, {"identifier": "V03", "position": [1, 5], "step": 145, "ordinal_position": 146}, {"identifier": "X70", "position": [1, 6], "step": 146, "ordinal_position": 147}, {"identifier": "F38", "position": [1, 7], "step": 147, "ordinal_position": 148}, {"identifier": "U13", "position": [1, 8], "step": 148, "ordinal_position": 149}, {"identifier": "I47", "position": [1, 9], "step": 149, "ordinal_position": 150}, {"identifier": "F44", "position": [2, 9], "step": 150, "ordinal_position": 151}, {"identifier": "Z79", "position": [3, 9], "step": 151, "ordinal_position": 152}, {"identifier": "K22", "position": [4, 9], "step": 152, "ordinal_position": 153}, {"identifier": "W31", "position": [5, 9], "step": 153, "ordinal_position": 154}, {"identifier": "T22", "position": [6, 9], "step": 154, "ordinal_position": 155}, {"identifier": "N91", "position": [7, 9], "step": 155, "ordinal_position": 156}, {"identifier": "O43", "position": [8, 9], "step": 156, "ordinal_position": 157}, {"identifier": "A25", "position": [9, 9], "step": 157, "ordinal_position": 158}, {"identifier": "R04", "position": [9, 8], "step": 158, "ordinal_position": 159}, {"identifier": "F94", "position": [9, 7], "step": 159, "ordinal_position": 160}, {"identifier": "G05", "position": [9, 6], "step": 160, "ordinal_position": 161}, {"identifier": "P78", "position": [9, 5], "step": 161, "ordinal_position": 162}, {"identifier": "V88", "position": [8, 5], "step": 162, "ordinal_position": 163}, {"identifier": "Q67", "position": [7, 5], "step": 163, "ordinal_position": 164}, {"identifier": "H42", "position": [7, 4], "step": 164, "ordinal_position": 165}, {"identifier": "T55", "position": [7, 3], "step": 165, "ordinal_position": 166}, {"identifier": "V81", "position": [8, 3], "step": 166, "ordinal_position": 167}, {"identifier": "U51", "position": [9, 3], "step": 167, "ordinal_position": 168}, {"identifier": "L09", "position": [9, 2], "step": 168, "ordinal_position": 169}, {"identifier": "Y10", "position": [9, 1], "step": 169, "ordinal_position": 170}, {"identifier": "F29", "position": [8, 1], "step": 170, "ordinal_position": 171}, {"identifier": "G23", "position": [7, 1], "step": 171, "ordinal_position": 172}, {"identifier": "D22", "position": [6, 1], "step": 172, "ordinal_position": 173}, {"identifier": "G56", "position": [5, 1], "step": 173, "ordinal_position": 174}, {"identifier": "T67", "position": [4, 1], "step": 174, "ordinal_position": 175}, {"identifier": "U31", "position": [3, 1], "step": 175, "ordinal_position": 176}, {"identifier": "L52", "position": [2, 1], "step": 176, "ordinal_position": 177}, {"identifier": "I24", "position": [1, 1], "step": 177, "ordinal_position": 178}, {"identifier": "K62", "position": [1, 2], "step": 178, "ordinal_position": 179}, {"identifier": "Q39", "position": [1, 3], "step": 179, "ordinal_position": 180}, {"identifier": "W26", "position": [1, 4], "step": 180, "ordinal_position": 181}, {"identifier": "V03", "position": [1, 5], "step": 181, "ordinal_position": 182}, {"identifier": "X70", "position": [1, 6], "step": 182, "ordinal_position": 183}, {"identifier": "F38", "position": [1, 7], "step": 183, "ordinal_position": 184}, {"identifier": "U13", "position": [1, 8], "step": 184, "ordinal_position": 185}, {"identifier": "I47", "position": [1, 9], "step": 185, "ordinal_position": 186}, {"identifier": "F44", "position": [2, 9], "step": 186, "ordinal_position": 187}, {"identifier": "Z79", "position": [3, 9], "step": 187, "ordinal_position": 188}, {"identifier": "K22", "position": [4, 9], "step": 188, "ordinal_position": 189}, {"identifier": "W31", "position": [5, 9], "step": 189, "ordinal_position": 190}, {"identifier": "T22", "position": [6, 9], "step": 190, "ordinal_position": 191}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 191, "direction": "up", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_018.json"}} {"qa_id": "3f2dbd3cdeab43b6b39defba940a7693", "image_id": "L3-MazeLoop-test_11x11_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D79, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 253rd position in this traversal?", "start_object_id": "D79", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [253], "ordinal_strings": ["253rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "O43", "traversal_path": [{"identifier": "D79", "position": [7, 8], "step": 0, "ordinal_position": 1}, {"identifier": "N91", "position": [7, 9], "step": 1, "ordinal_position": 2}, {"identifier": "T22", "position": [6, 9], "step": 2, "ordinal_position": 3}, {"identifier": "W31", "position": [5, 9], "step": 3, "ordinal_position": 4}, {"identifier": "K22", "position": [4, 9], "step": 4, "ordinal_position": 5}, {"identifier": "Z79", "position": [3, 9], "step": 5, "ordinal_position": 6}, {"identifier": "F44", "position": [2, 9], "step": 6, "ordinal_position": 7}, {"identifier": "I47", "position": [1, 9], "step": 7, "ordinal_position": 8}, {"identifier": "U13", "position": [1, 8], "step": 8, "ordinal_position": 9}, {"identifier": "F38", "position": [1, 7], "step": 9, "ordinal_position": 10}, {"identifier": "X70", "position": [1, 6], "step": 10, "ordinal_position": 11}, {"identifier": "V03", "position": [1, 5], "step": 11, "ordinal_position": 12}, {"identifier": "W26", "position": [1, 4], "step": 12, "ordinal_position": 13}, {"identifier": "Q39", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "K62", "position": [1, 2], "step": 14, "ordinal_position": 15}, {"identifier": "I24", "position": [1, 1], "step": 15, "ordinal_position": 16}, {"identifier": "L52", "position": [2, 1], "step": 16, "ordinal_position": 17}, {"identifier": "U31", "position": [3, 1], "step": 17, "ordinal_position": 18}, {"identifier": "T67", "position": [4, 1], "step": 18, "ordinal_position": 19}, {"identifier": "G56", "position": [5, 1], "step": 19, "ordinal_position": 20}, {"identifier": "D22", "position": [6, 1], "step": 20, "ordinal_position": 21}, {"identifier": "G23", "position": [7, 1], "step": 21, "ordinal_position": 22}, {"identifier": "F29", "position": [8, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Y10", "position": [9, 1], "step": 23, "ordinal_position": 24}, {"identifier": "L09", "position": [9, 2], "step": 24, "ordinal_position": 25}, {"identifier": "U51", "position": [9, 3], "step": 25, "ordinal_position": 26}, {"identifier": "V81", "position": [8, 3], "step": 26, "ordinal_position": 27}, {"identifier": "T55", "position": [7, 3], "step": 27, "ordinal_position": 28}, {"identifier": "H42", "position": [7, 4], "step": 28, "ordinal_position": 29}, {"identifier": "Q67", "position": [7, 5], "step": 29, "ordinal_position": 30}, {"identifier": "V88", "position": [8, 5], "step": 30, "ordinal_position": 31}, {"identifier": "P78", "position": [9, 5], "step": 31, "ordinal_position": 32}, {"identifier": "G05", "position": [9, 6], "step": 32, "ordinal_position": 33}, {"identifier": "F94", "position": [9, 7], "step": 33, "ordinal_position": 34}, {"identifier": "R04", "position": [9, 8], "step": 34, "ordinal_position": 35}, {"identifier": "A25", "position": [9, 9], "step": 35, "ordinal_position": 36}, {"identifier": "O43", "position": [8, 9], "step": 36, "ordinal_position": 37}, {"identifier": "N91", "position": [7, 9], "step": 37, "ordinal_position": 38}, {"identifier": "T22", "position": [6, 9], "step": 38, "ordinal_position": 39}, {"identifier": "W31", "position": [5, 9], "step": 39, "ordinal_position": 40}, {"identifier": "K22", "position": [4, 9], "step": 40, "ordinal_position": 41}, {"identifier": "Z79", "position": [3, 9], "step": 41, "ordinal_position": 42}, {"identifier": "F44", "position": [2, 9], "step": 42, "ordinal_position": 43}, {"identifier": "I47", "position": [1, 9], "step": 43, "ordinal_position": 44}, {"identifier": "U13", "position": [1, 8], "step": 44, "ordinal_position": 45}, {"identifier": "F38", "position": [1, 7], "step": 45, "ordinal_position": 46}, {"identifier": "X70", "position": [1, 6], "step": 46, "ordinal_position": 47}, {"identifier": "V03", "position": [1, 5], "step": 47, "ordinal_position": 48}, {"identifier": "W26", "position": [1, 4], "step": 48, "ordinal_position": 49}, {"identifier": "Q39", "position": [1, 3], "step": 49, "ordinal_position": 50}, {"identifier": "K62", "position": [1, 2], "step": 50, "ordinal_position": 51}, {"identifier": "I24", "position": [1, 1], "step": 51, "ordinal_position": 52}, {"identifier": "L52", "position": [2, 1], "step": 52, "ordinal_position": 53}, {"identifier": "U31", "position": [3, 1], "step": 53, "ordinal_position": 54}, {"identifier": "T67", "position": [4, 1], "step": 54, "ordinal_position": 55}, {"identifier": "G56", "position": [5, 1], "step": 55, "ordinal_position": 56}, {"identifier": "D22", "position": [6, 1], "step": 56, "ordinal_position": 57}, {"identifier": "G23", "position": [7, 1], "step": 57, "ordinal_position": 58}, {"identifier": "F29", "position": [8, 1], "step": 58, "ordinal_position": 59}, {"identifier": "Y10", "position": [9, 1], "step": 59, "ordinal_position": 60}, {"identifier": "L09", "position": [9, 2], "step": 60, "ordinal_position": 61}, {"identifier": "U51", "position": [9, 3], "step": 61, "ordinal_position": 62}, {"identifier": "V81", "position": [8, 3], "step": 62, "ordinal_position": 63}, {"identifier": "T55", "position": [7, 3], "step": 63, "ordinal_position": 64}, {"identifier": "H42", "position": [7, 4], "step": 64, "ordinal_position": 65}, {"identifier": "Q67", "position": [7, 5], "step": 65, "ordinal_position": 66}, {"identifier": "V88", "position": [8, 5], "step": 66, "ordinal_position": 67}, {"identifier": "P78", "position": [9, 5], "step": 67, "ordinal_position": 68}, {"identifier": "G05", "position": [9, 6], "step": 68, "ordinal_position": 69}, {"identifier": "F94", "position": [9, 7], "step": 69, "ordinal_position": 70}, {"identifier": "R04", "position": [9, 8], "step": 70, "ordinal_position": 71}, {"identifier": "A25", "position": [9, 9], "step": 71, "ordinal_position": 72}, {"identifier": "O43", "position": [8, 9], "step": 72, "ordinal_position": 73}, {"identifier": "N91", "position": [7, 9], "step": 73, "ordinal_position": 74}, {"identifier": "T22", "position": [6, 9], "step": 74, "ordinal_position": 75}, {"identifier": "W31", "position": [5, 9], "step": 75, "ordinal_position": 76}, {"identifier": "K22", "position": [4, 9], "step": 76, "ordinal_position": 77}, {"identifier": "Z79", "position": [3, 9], "step": 77, "ordinal_position": 78}, {"identifier": "F44", "position": [2, 9], "step": 78, "ordinal_position": 79}, {"identifier": "I47", "position": [1, 9], "step": 79, "ordinal_position": 80}, {"identifier": "U13", "position": [1, 8], "step": 80, "ordinal_position": 81}, {"identifier": "F38", "position": [1, 7], "step": 81, "ordinal_position": 82}, {"identifier": "X70", "position": [1, 6], "step": 82, "ordinal_position": 83}, {"identifier": "V03", "position": [1, 5], "step": 83, "ordinal_position": 84}, {"identifier": "W26", "position": [1, 4], "step": 84, "ordinal_position": 85}, {"identifier": "Q39", "position": [1, 3], "step": 85, "ordinal_position": 86}, {"identifier": "K62", "position": [1, 2], "step": 86, "ordinal_position": 87}, {"identifier": "I24", "position": [1, 1], "step": 87, "ordinal_position": 88}, {"identifier": "L52", "position": [2, 1], "step": 88, "ordinal_position": 89}, {"identifier": "U31", "position": [3, 1], "step": 89, "ordinal_position": 90}, {"identifier": "T67", "position": [4, 1], "step": 90, "ordinal_position": 91}, {"identifier": "G56", "position": [5, 1], "step": 91, "ordinal_position": 92}, {"identifier": "D22", "position": [6, 1], "step": 92, "ordinal_position": 93}, {"identifier": "G23", "position": [7, 1], "step": 93, "ordinal_position": 94}, {"identifier": "F29", "position": [8, 1], "step": 94, "ordinal_position": 95}, {"identifier": "Y10", "position": [9, 1], "step": 95, "ordinal_position": 96}, {"identifier": "L09", "position": [9, 2], "step": 96, "ordinal_position": 97}, {"identifier": "U51", "position": [9, 3], "step": 97, "ordinal_position": 98}, {"identifier": "V81", "position": [8, 3], "step": 98, "ordinal_position": 99}, {"identifier": "T55", "position": [7, 3], "step": 99, "ordinal_position": 100}, {"identifier": "H42", "position": [7, 4], "step": 100, "ordinal_position": 101}, {"identifier": "Q67", "position": [7, 5], "step": 101, "ordinal_position": 102}, {"identifier": "V88", "position": [8, 5], "step": 102, "ordinal_position": 103}, {"identifier": "P78", "position": [9, 5], "step": 103, "ordinal_position": 104}, {"identifier": "G05", "position": [9, 6], "step": 104, "ordinal_position": 105}, {"identifier": "F94", "position": [9, 7], "step": 105, "ordinal_position": 106}, {"identifier": "R04", "position": [9, 8], "step": 106, "ordinal_position": 107}, {"identifier": "A25", "position": [9, 9], "step": 107, "ordinal_position": 108}, {"identifier": "O43", "position": [8, 9], "step": 108, "ordinal_position": 109}, {"identifier": "N91", "position": [7, 9], "step": 109, "ordinal_position": 110}, {"identifier": "T22", "position": [6, 9], "step": 110, "ordinal_position": 111}, {"identifier": "W31", "position": [5, 9], "step": 111, "ordinal_position": 112}, {"identifier": "K22", "position": [4, 9], "step": 112, "ordinal_position": 113}, {"identifier": "Z79", "position": [3, 9], "step": 113, "ordinal_position": 114}, {"identifier": "F44", "position": [2, 9], "step": 114, "ordinal_position": 115}, {"identifier": "I47", "position": [1, 9], "step": 115, "ordinal_position": 116}, {"identifier": "U13", "position": [1, 8], "step": 116, "ordinal_position": 117}, {"identifier": "F38", "position": [1, 7], "step": 117, "ordinal_position": 118}, {"identifier": "X70", "position": [1, 6], "step": 118, "ordinal_position": 119}, {"identifier": "V03", "position": [1, 5], "step": 119, "ordinal_position": 120}, {"identifier": "W26", "position": [1, 4], "step": 120, "ordinal_position": 121}, {"identifier": "Q39", "position": [1, 3], "step": 121, "ordinal_position": 122}, {"identifier": "K62", "position": [1, 2], "step": 122, "ordinal_position": 123}, {"identifier": "I24", "position": [1, 1], "step": 123, "ordinal_position": 124}, {"identifier": "L52", "position": [2, 1], "step": 124, "ordinal_position": 125}, {"identifier": "U31", "position": [3, 1], "step": 125, "ordinal_position": 126}, {"identifier": "T67", "position": [4, 1], "step": 126, "ordinal_position": 127}, {"identifier": "G56", "position": [5, 1], "step": 127, "ordinal_position": 128}, {"identifier": "D22", "position": [6, 1], "step": 128, "ordinal_position": 129}, {"identifier": "G23", "position": [7, 1], "step": 129, "ordinal_position": 130}, {"identifier": "F29", "position": [8, 1], "step": 130, "ordinal_position": 131}, {"identifier": "Y10", "position": [9, 1], "step": 131, "ordinal_position": 132}, {"identifier": "L09", "position": [9, 2], "step": 132, "ordinal_position": 133}, {"identifier": "U51", "position": [9, 3], "step": 133, "ordinal_position": 134}, {"identifier": "V81", "position": [8, 3], "step": 134, "ordinal_position": 135}, {"identifier": "T55", "position": [7, 3], "step": 135, "ordinal_position": 136}, {"identifier": "H42", "position": [7, 4], "step": 136, "ordinal_position": 137}, {"identifier": "Q67", "position": [7, 5], "step": 137, "ordinal_position": 138}, {"identifier": "V88", "position": [8, 5], "step": 138, "ordinal_position": 139}, {"identifier": "P78", "position": [9, 5], "step": 139, "ordinal_position": 140}, {"identifier": "G05", "position": [9, 6], "step": 140, "ordinal_position": 141}, {"identifier": "F94", "position": [9, 7], "step": 141, "ordinal_position": 142}, {"identifier": "R04", "position": [9, 8], "step": 142, "ordinal_position": 143}, {"identifier": "A25", "position": [9, 9], "step": 143, "ordinal_position": 144}, {"identifier": "O43", "position": [8, 9], "step": 144, "ordinal_position": 145}, {"identifier": "N91", "position": [7, 9], "step": 145, "ordinal_position": 146}, {"identifier": "T22", "position": [6, 9], "step": 146, "ordinal_position": 147}, {"identifier": "W31", "position": [5, 9], "step": 147, "ordinal_position": 148}, {"identifier": "K22", "position": [4, 9], "step": 148, "ordinal_position": 149}, {"identifier": "Z79", "position": [3, 9], "step": 149, "ordinal_position": 150}, {"identifier": "F44", "position": [2, 9], "step": 150, "ordinal_position": 151}, {"identifier": "I47", "position": [1, 9], "step": 151, "ordinal_position": 152}, {"identifier": "U13", "position": [1, 8], "step": 152, "ordinal_position": 153}, {"identifier": "F38", "position": [1, 7], "step": 153, "ordinal_position": 154}, {"identifier": "X70", "position": [1, 6], "step": 154, "ordinal_position": 155}, {"identifier": "V03", "position": [1, 5], "step": 155, "ordinal_position": 156}, {"identifier": "W26", "position": [1, 4], "step": 156, "ordinal_position": 157}, {"identifier": "Q39", "position": [1, 3], "step": 157, "ordinal_position": 158}, {"identifier": "K62", "position": [1, 2], "step": 158, "ordinal_position": 159}, {"identifier": "I24", "position": [1, 1], "step": 159, "ordinal_position": 160}, {"identifier": "L52", "position": [2, 1], "step": 160, "ordinal_position": 161}, {"identifier": "U31", "position": [3, 1], "step": 161, "ordinal_position": 162}, {"identifier": "T67", "position": [4, 1], "step": 162, "ordinal_position": 163}, {"identifier": "G56", "position": [5, 1], "step": 163, "ordinal_position": 164}, {"identifier": "D22", "position": [6, 1], "step": 164, "ordinal_position": 165}, {"identifier": "G23", "position": [7, 1], "step": 165, "ordinal_position": 166}, {"identifier": "F29", "position": [8, 1], "step": 166, "ordinal_position": 167}, {"identifier": "Y10", "position": [9, 1], "step": 167, "ordinal_position": 168}, {"identifier": "L09", "position": [9, 2], "step": 168, "ordinal_position": 169}, {"identifier": "U51", "position": [9, 3], "step": 169, "ordinal_position": 170}, {"identifier": "V81", "position": [8, 3], "step": 170, "ordinal_position": 171}, {"identifier": "T55", "position": [7, 3], "step": 171, "ordinal_position": 172}, {"identifier": "H42", "position": [7, 4], "step": 172, "ordinal_position": 173}, {"identifier": "Q67", "position": [7, 5], "step": 173, "ordinal_position": 174}, {"identifier": "V88", "position": [8, 5], "step": 174, "ordinal_position": 175}, {"identifier": "P78", "position": [9, 5], "step": 175, "ordinal_position": 176}, {"identifier": "G05", "position": [9, 6], "step": 176, "ordinal_position": 177}, {"identifier": "F94", "position": [9, 7], "step": 177, "ordinal_position": 178}, {"identifier": "R04", "position": [9, 8], "step": 178, "ordinal_position": 179}, {"identifier": "A25", "position": [9, 9], "step": 179, "ordinal_position": 180}, {"identifier": "O43", "position": [8, 9], "step": 180, "ordinal_position": 181}, {"identifier": "N91", "position": [7, 9], "step": 181, "ordinal_position": 182}, {"identifier": "T22", "position": [6, 9], "step": 182, "ordinal_position": 183}, {"identifier": "W31", "position": [5, 9], "step": 183, "ordinal_position": 184}, {"identifier": "K22", "position": [4, 9], "step": 184, "ordinal_position": 185}, {"identifier": "Z79", "position": [3, 9], "step": 185, "ordinal_position": 186}, {"identifier": "F44", "position": [2, 9], "step": 186, "ordinal_position": 187}, {"identifier": "I47", "position": [1, 9], "step": 187, "ordinal_position": 188}, {"identifier": "U13", "position": [1, 8], "step": 188, "ordinal_position": 189}, {"identifier": "F38", "position": [1, 7], "step": 189, "ordinal_position": 190}, {"identifier": "X70", "position": [1, 6], "step": 190, "ordinal_position": 191}, {"identifier": "V03", "position": [1, 5], "step": 191, "ordinal_position": 192}, {"identifier": "W26", "position": [1, 4], "step": 192, "ordinal_position": 193}, {"identifier": "Q39", "position": [1, 3], "step": 193, "ordinal_position": 194}, {"identifier": "K62", "position": [1, 2], "step": 194, "ordinal_position": 195}, {"identifier": "I24", "position": [1, 1], "step": 195, "ordinal_position": 196}, {"identifier": "L52", "position": [2, 1], "step": 196, "ordinal_position": 197}, {"identifier": "U31", "position": [3, 1], "step": 197, "ordinal_position": 198}, {"identifier": "T67", "position": [4, 1], "step": 198, "ordinal_position": 199}, {"identifier": "G56", "position": [5, 1], "step": 199, "ordinal_position": 200}, {"identifier": "D22", "position": [6, 1], "step": 200, "ordinal_position": 201}, {"identifier": "G23", "position": [7, 1], "step": 201, "ordinal_position": 202}, {"identifier": "F29", "position": [8, 1], "step": 202, "ordinal_position": 203}, {"identifier": "Y10", "position": [9, 1], "step": 203, "ordinal_position": 204}, {"identifier": "L09", "position": [9, 2], "step": 204, "ordinal_position": 205}, {"identifier": "U51", "position": [9, 3], "step": 205, "ordinal_position": 206}, {"identifier": "V81", "position": [8, 3], "step": 206, "ordinal_position": 207}, {"identifier": "T55", "position": [7, 3], "step": 207, "ordinal_position": 208}, {"identifier": "H42", "position": [7, 4], "step": 208, "ordinal_position": 209}, {"identifier": "Q67", "position": [7, 5], "step": 209, "ordinal_position": 210}, {"identifier": "V88", "position": [8, 5], "step": 210, "ordinal_position": 211}, {"identifier": "P78", "position": [9, 5], "step": 211, "ordinal_position": 212}, {"identifier": "G05", "position": [9, 6], "step": 212, "ordinal_position": 213}, {"identifier": "F94", "position": [9, 7], "step": 213, "ordinal_position": 214}, {"identifier": "R04", "position": [9, 8], "step": 214, "ordinal_position": 215}, {"identifier": "A25", "position": [9, 9], "step": 215, "ordinal_position": 216}, {"identifier": "O43", "position": [8, 9], "step": 216, "ordinal_position": 217}, {"identifier": "N91", "position": [7, 9], "step": 217, "ordinal_position": 218}, {"identifier": "T22", "position": [6, 9], "step": 218, "ordinal_position": 219}, {"identifier": "W31", "position": [5, 9], "step": 219, "ordinal_position": 220}, {"identifier": "K22", "position": [4, 9], "step": 220, "ordinal_position": 221}, {"identifier": "Z79", "position": [3, 9], "step": 221, "ordinal_position": 222}, {"identifier": "F44", "position": [2, 9], "step": 222, "ordinal_position": 223}, {"identifier": "I47", "position": [1, 9], "step": 223, "ordinal_position": 224}, {"identifier": "U13", "position": [1, 8], "step": 224, "ordinal_position": 225}, {"identifier": "F38", "position": [1, 7], "step": 225, "ordinal_position": 226}, {"identifier": "X70", "position": [1, 6], "step": 226, "ordinal_position": 227}, {"identifier": "V03", "position": [1, 5], "step": 227, "ordinal_position": 228}, {"identifier": "W26", "position": [1, 4], "step": 228, "ordinal_position": 229}, {"identifier": "Q39", "position": [1, 3], "step": 229, "ordinal_position": 230}, {"identifier": "K62", "position": [1, 2], "step": 230, "ordinal_position": 231}, {"identifier": "I24", "position": [1, 1], "step": 231, "ordinal_position": 232}, {"identifier": "L52", "position": [2, 1], "step": 232, "ordinal_position": 233}, {"identifier": "U31", "position": [3, 1], "step": 233, "ordinal_position": 234}, {"identifier": "T67", "position": [4, 1], "step": 234, "ordinal_position": 235}, {"identifier": "G56", "position": [5, 1], "step": 235, "ordinal_position": 236}, {"identifier": "D22", "position": [6, 1], "step": 236, "ordinal_position": 237}, {"identifier": "G23", "position": [7, 1], "step": 237, "ordinal_position": 238}, {"identifier": "F29", "position": [8, 1], "step": 238, "ordinal_position": 239}, {"identifier": "Y10", "position": [9, 1], "step": 239, "ordinal_position": 240}, {"identifier": "L09", "position": [9, 2], "step": 240, "ordinal_position": 241}, {"identifier": "U51", "position": [9, 3], "step": 241, "ordinal_position": 242}, {"identifier": "V81", "position": [8, 3], "step": 242, "ordinal_position": 243}, {"identifier": "T55", "position": [7, 3], "step": 243, "ordinal_position": 244}, {"identifier": "H42", "position": [7, 4], "step": 244, "ordinal_position": 245}, {"identifier": "Q67", "position": [7, 5], "step": 245, "ordinal_position": 246}, {"identifier": "V88", "position": [8, 5], "step": 246, "ordinal_position": 247}, {"identifier": "P78", "position": [9, 5], "step": 247, "ordinal_position": 248}, {"identifier": "G05", "position": [9, 6], "step": 248, "ordinal_position": 249}, {"identifier": "F94", "position": [9, 7], "step": 249, "ordinal_position": 250}, {"identifier": "R04", "position": [9, 8], "step": 250, "ordinal_position": 251}, {"identifier": "A25", "position": [9, 9], "step": 251, "ordinal_position": 252}, {"identifier": "O43", "position": [8, 9], "step": 252, "ordinal_position": 253}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 253, "direction": "down", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_018.json"}} {"qa_id": "750795a5074c4a30ab92b17fc77c07c8", "image_id": "L3-MazeLoop-test_11x11_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L52, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 273rd position in this traversal?", "start_object_id": "L52", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [273], "ordinal_strings": ["273rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "G05", "traversal_path": [{"identifier": "L52", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "I24", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "K62", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "Q39", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "W26", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "V03", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "X70", "position": [1, 6], "step": 6, "ordinal_position": 7}, {"identifier": "F38", "position": [1, 7], "step": 7, "ordinal_position": 8}, {"identifier": "U13", "position": [1, 8], "step": 8, "ordinal_position": 9}, {"identifier": "I47", "position": [1, 9], "step": 9, "ordinal_position": 10}, {"identifier": "F44", "position": [2, 9], "step": 10, "ordinal_position": 11}, {"identifier": "Z79", "position": [3, 9], "step": 11, "ordinal_position": 12}, {"identifier": "K22", "position": [4, 9], "step": 12, "ordinal_position": 13}, {"identifier": "W31", "position": [5, 9], "step": 13, "ordinal_position": 14}, {"identifier": "T22", "position": [6, 9], "step": 14, "ordinal_position": 15}, {"identifier": "N91", "position": [7, 9], "step": 15, "ordinal_position": 16}, {"identifier": "O43", "position": [8, 9], "step": 16, "ordinal_position": 17}, {"identifier": "A25", "position": [9, 9], "step": 17, "ordinal_position": 18}, {"identifier": "R04", "position": [9, 8], "step": 18, "ordinal_position": 19}, {"identifier": "F94", "position": [9, 7], "step": 19, "ordinal_position": 20}, {"identifier": "G05", "position": [9, 6], "step": 20, "ordinal_position": 21}, {"identifier": "P78", "position": [9, 5], "step": 21, "ordinal_position": 22}, {"identifier": "V88", "position": [8, 5], "step": 22, "ordinal_position": 23}, {"identifier": "Q67", "position": [7, 5], "step": 23, "ordinal_position": 24}, {"identifier": "H42", "position": [7, 4], "step": 24, "ordinal_position": 25}, {"identifier": "T55", "position": [7, 3], "step": 25, "ordinal_position": 26}, {"identifier": "V81", "position": [8, 3], "step": 26, "ordinal_position": 27}, {"identifier": "U51", "position": [9, 3], "step": 27, "ordinal_position": 28}, {"identifier": "L09", "position": [9, 2], "step": 28, "ordinal_position": 29}, {"identifier": "Y10", "position": [9, 1], "step": 29, "ordinal_position": 30}, {"identifier": "F29", "position": [8, 1], "step": 30, "ordinal_position": 31}, {"identifier": "G23", "position": [7, 1], "step": 31, "ordinal_position": 32}, {"identifier": "D22", "position": [6, 1], "step": 32, "ordinal_position": 33}, {"identifier": "G56", "position": [5, 1], "step": 33, "ordinal_position": 34}, {"identifier": "T67", "position": [4, 1], "step": 34, "ordinal_position": 35}, {"identifier": "U31", "position": [3, 1], "step": 35, "ordinal_position": 36}, {"identifier": "L52", "position": [2, 1], "step": 36, "ordinal_position": 37}, {"identifier": "I24", "position": [1, 1], "step": 37, "ordinal_position": 38}, {"identifier": "K62", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "Q39", "position": [1, 3], "step": 39, "ordinal_position": 40}, {"identifier": "W26", "position": [1, 4], "step": 40, "ordinal_position": 41}, {"identifier": "V03", "position": [1, 5], "step": 41, "ordinal_position": 42}, {"identifier": "X70", "position": [1, 6], "step": 42, "ordinal_position": 43}, {"identifier": "F38", "position": [1, 7], "step": 43, "ordinal_position": 44}, {"identifier": "U13", "position": [1, 8], "step": 44, "ordinal_position": 45}, {"identifier": "I47", "position": [1, 9], "step": 45, "ordinal_position": 46}, {"identifier": "F44", "position": [2, 9], "step": 46, "ordinal_position": 47}, {"identifier": "Z79", "position": [3, 9], "step": 47, "ordinal_position": 48}, {"identifier": "K22", "position": [4, 9], "step": 48, "ordinal_position": 49}, {"identifier": "W31", "position": [5, 9], "step": 49, "ordinal_position": 50}, {"identifier": "T22", "position": [6, 9], "step": 50, "ordinal_position": 51}, {"identifier": "N91", "position": [7, 9], "step": 51, "ordinal_position": 52}, {"identifier": "O43", "position": [8, 9], "step": 52, "ordinal_position": 53}, {"identifier": "A25", "position": [9, 9], "step": 53, "ordinal_position": 54}, {"identifier": "R04", "position": [9, 8], "step": 54, "ordinal_position": 55}, {"identifier": "F94", "position": [9, 7], "step": 55, "ordinal_position": 56}, {"identifier": "G05", "position": [9, 6], "step": 56, "ordinal_position": 57}, {"identifier": "P78", "position": [9, 5], "step": 57, "ordinal_position": 58}, {"identifier": "V88", "position": [8, 5], "step": 58, "ordinal_position": 59}, {"identifier": "Q67", "position": [7, 5], "step": 59, "ordinal_position": 60}, {"identifier": "H42", "position": [7, 4], "step": 60, "ordinal_position": 61}, {"identifier": "T55", "position": [7, 3], "step": 61, "ordinal_position": 62}, {"identifier": "V81", "position": [8, 3], "step": 62, "ordinal_position": 63}, {"identifier": "U51", "position": [9, 3], "step": 63, "ordinal_position": 64}, {"identifier": "L09", "position": [9, 2], "step": 64, "ordinal_position": 65}, {"identifier": "Y10", "position": [9, 1], "step": 65, "ordinal_position": 66}, {"identifier": "F29", "position": [8, 1], "step": 66, "ordinal_position": 67}, {"identifier": "G23", "position": [7, 1], "step": 67, "ordinal_position": 68}, {"identifier": "D22", "position": [6, 1], "step": 68, "ordinal_position": 69}, {"identifier": "G56", "position": [5, 1], "step": 69, "ordinal_position": 70}, {"identifier": "T67", "position": [4, 1], "step": 70, "ordinal_position": 71}, {"identifier": "U31", "position": [3, 1], "step": 71, "ordinal_position": 72}, {"identifier": "L52", "position": [2, 1], "step": 72, "ordinal_position": 73}, {"identifier": "I24", "position": [1, 1], "step": 73, "ordinal_position": 74}, {"identifier": "K62", "position": [1, 2], "step": 74, "ordinal_position": 75}, {"identifier": "Q39", "position": [1, 3], "step": 75, "ordinal_position": 76}, {"identifier": "W26", "position": [1, 4], "step": 76, "ordinal_position": 77}, {"identifier": "V03", "position": [1, 5], "step": 77, "ordinal_position": 78}, {"identifier": "X70", "position": [1, 6], "step": 78, "ordinal_position": 79}, {"identifier": "F38", "position": [1, 7], "step": 79, "ordinal_position": 80}, {"identifier": "U13", "position": [1, 8], "step": 80, "ordinal_position": 81}, {"identifier": "I47", "position": [1, 9], "step": 81, "ordinal_position": 82}, {"identifier": "F44", "position": [2, 9], "step": 82, "ordinal_position": 83}, {"identifier": "Z79", "position": [3, 9], "step": 83, "ordinal_position": 84}, {"identifier": "K22", "position": [4, 9], "step": 84, "ordinal_position": 85}, {"identifier": "W31", "position": [5, 9], "step": 85, "ordinal_position": 86}, {"identifier": "T22", "position": [6, 9], "step": 86, "ordinal_position": 87}, {"identifier": "N91", "position": [7, 9], "step": 87, "ordinal_position": 88}, {"identifier": "O43", "position": [8, 9], "step": 88, "ordinal_position": 89}, {"identifier": "A25", "position": [9, 9], "step": 89, "ordinal_position": 90}, {"identifier": "R04", "position": [9, 8], "step": 90, "ordinal_position": 91}, {"identifier": "F94", "position": [9, 7], "step": 91, "ordinal_position": 92}, {"identifier": "G05", "position": [9, 6], "step": 92, "ordinal_position": 93}, {"identifier": "P78", "position": [9, 5], "step": 93, "ordinal_position": 94}, {"identifier": "V88", "position": [8, 5], "step": 94, "ordinal_position": 95}, {"identifier": "Q67", "position": [7, 5], "step": 95, "ordinal_position": 96}, {"identifier": "H42", "position": [7, 4], "step": 96, "ordinal_position": 97}, {"identifier": "T55", "position": [7, 3], "step": 97, "ordinal_position": 98}, {"identifier": "V81", "position": [8, 3], "step": 98, "ordinal_position": 99}, {"identifier": "U51", "position": [9, 3], "step": 99, "ordinal_position": 100}, {"identifier": "L09", "position": [9, 2], "step": 100, "ordinal_position": 101}, {"identifier": "Y10", "position": [9, 1], "step": 101, "ordinal_position": 102}, {"identifier": "F29", "position": [8, 1], "step": 102, "ordinal_position": 103}, {"identifier": "G23", "position": [7, 1], "step": 103, "ordinal_position": 104}, {"identifier": "D22", "position": [6, 1], "step": 104, "ordinal_position": 105}, {"identifier": "G56", "position": [5, 1], "step": 105, "ordinal_position": 106}, {"identifier": "T67", "position": [4, 1], "step": 106, "ordinal_position": 107}, {"identifier": "U31", "position": [3, 1], "step": 107, "ordinal_position": 108}, {"identifier": "L52", "position": [2, 1], "step": 108, "ordinal_position": 109}, {"identifier": "I24", "position": [1, 1], "step": 109, "ordinal_position": 110}, {"identifier": "K62", "position": [1, 2], "step": 110, "ordinal_position": 111}, {"identifier": "Q39", "position": [1, 3], "step": 111, "ordinal_position": 112}, {"identifier": "W26", "position": [1, 4], "step": 112, "ordinal_position": 113}, {"identifier": "V03", "position": [1, 5], "step": 113, "ordinal_position": 114}, {"identifier": "X70", "position": [1, 6], "step": 114, "ordinal_position": 115}, {"identifier": "F38", "position": [1, 7], "step": 115, "ordinal_position": 116}, {"identifier": "U13", "position": [1, 8], "step": 116, "ordinal_position": 117}, {"identifier": "I47", "position": [1, 9], "step": 117, "ordinal_position": 118}, {"identifier": "F44", "position": [2, 9], "step": 118, "ordinal_position": 119}, {"identifier": "Z79", "position": [3, 9], "step": 119, "ordinal_position": 120}, {"identifier": "K22", "position": [4, 9], "step": 120, "ordinal_position": 121}, {"identifier": "W31", "position": [5, 9], "step": 121, "ordinal_position": 122}, {"identifier": "T22", "position": [6, 9], "step": 122, "ordinal_position": 123}, {"identifier": "N91", "position": [7, 9], "step": 123, "ordinal_position": 124}, {"identifier": "O43", "position": [8, 9], "step": 124, "ordinal_position": 125}, {"identifier": "A25", "position": [9, 9], "step": 125, "ordinal_position": 126}, {"identifier": "R04", "position": [9, 8], "step": 126, "ordinal_position": 127}, {"identifier": "F94", "position": [9, 7], "step": 127, "ordinal_position": 128}, {"identifier": "G05", "position": [9, 6], "step": 128, "ordinal_position": 129}, {"identifier": "P78", "position": [9, 5], "step": 129, "ordinal_position": 130}, {"identifier": "V88", "position": [8, 5], "step": 130, "ordinal_position": 131}, {"identifier": "Q67", "position": [7, 5], "step": 131, "ordinal_position": 132}, {"identifier": "H42", "position": [7, 4], "step": 132, "ordinal_position": 133}, {"identifier": "T55", "position": [7, 3], "step": 133, "ordinal_position": 134}, {"identifier": "V81", "position": [8, 3], "step": 134, "ordinal_position": 135}, {"identifier": "U51", "position": [9, 3], "step": 135, "ordinal_position": 136}, {"identifier": "L09", "position": [9, 2], "step": 136, "ordinal_position": 137}, {"identifier": "Y10", "position": [9, 1], "step": 137, "ordinal_position": 138}, {"identifier": "F29", "position": [8, 1], "step": 138, "ordinal_position": 139}, {"identifier": "G23", "position": [7, 1], "step": 139, "ordinal_position": 140}, {"identifier": "D22", "position": [6, 1], "step": 140, "ordinal_position": 141}, {"identifier": "G56", "position": [5, 1], "step": 141, "ordinal_position": 142}, {"identifier": "T67", "position": [4, 1], "step": 142, "ordinal_position": 143}, {"identifier": "U31", "position": [3, 1], "step": 143, "ordinal_position": 144}, {"identifier": "L52", "position": [2, 1], "step": 144, "ordinal_position": 145}, {"identifier": "I24", "position": [1, 1], "step": 145, "ordinal_position": 146}, {"identifier": "K62", "position": [1, 2], "step": 146, "ordinal_position": 147}, {"identifier": "Q39", "position": [1, 3], "step": 147, "ordinal_position": 148}, {"identifier": "W26", "position": [1, 4], "step": 148, "ordinal_position": 149}, {"identifier": "V03", "position": [1, 5], "step": 149, "ordinal_position": 150}, {"identifier": "X70", "position": [1, 6], "step": 150, "ordinal_position": 151}, {"identifier": "F38", "position": [1, 7], "step": 151, "ordinal_position": 152}, {"identifier": "U13", "position": [1, 8], "step": 152, "ordinal_position": 153}, {"identifier": "I47", "position": [1, 9], "step": 153, "ordinal_position": 154}, {"identifier": "F44", "position": [2, 9], "step": 154, "ordinal_position": 155}, {"identifier": "Z79", "position": [3, 9], "step": 155, "ordinal_position": 156}, {"identifier": "K22", "position": [4, 9], "step": 156, "ordinal_position": 157}, {"identifier": "W31", "position": [5, 9], "step": 157, "ordinal_position": 158}, {"identifier": "T22", "position": [6, 9], "step": 158, "ordinal_position": 159}, {"identifier": "N91", "position": [7, 9], "step": 159, "ordinal_position": 160}, {"identifier": "O43", "position": [8, 9], "step": 160, "ordinal_position": 161}, {"identifier": "A25", "position": [9, 9], "step": 161, "ordinal_position": 162}, {"identifier": "R04", "position": [9, 8], "step": 162, "ordinal_position": 163}, {"identifier": "F94", "position": [9, 7], "step": 163, "ordinal_position": 164}, {"identifier": "G05", "position": [9, 6], "step": 164, "ordinal_position": 165}, {"identifier": "P78", "position": [9, 5], "step": 165, "ordinal_position": 166}, {"identifier": "V88", "position": [8, 5], "step": 166, "ordinal_position": 167}, {"identifier": "Q67", "position": [7, 5], "step": 167, "ordinal_position": 168}, {"identifier": "H42", "position": [7, 4], "step": 168, "ordinal_position": 169}, {"identifier": "T55", "position": [7, 3], "step": 169, "ordinal_position": 170}, {"identifier": "V81", "position": [8, 3], "step": 170, "ordinal_position": 171}, {"identifier": "U51", "position": [9, 3], "step": 171, "ordinal_position": 172}, {"identifier": "L09", "position": [9, 2], "step": 172, "ordinal_position": 173}, {"identifier": "Y10", "position": [9, 1], "step": 173, "ordinal_position": 174}, {"identifier": "F29", "position": [8, 1], "step": 174, "ordinal_position": 175}, {"identifier": "G23", "position": [7, 1], "step": 175, "ordinal_position": 176}, {"identifier": "D22", "position": [6, 1], "step": 176, "ordinal_position": 177}, {"identifier": "G56", "position": [5, 1], "step": 177, "ordinal_position": 178}, {"identifier": "T67", "position": [4, 1], "step": 178, "ordinal_position": 179}, {"identifier": "U31", "position": [3, 1], "step": 179, "ordinal_position": 180}, {"identifier": "L52", "position": [2, 1], "step": 180, "ordinal_position": 181}, {"identifier": "I24", "position": [1, 1], "step": 181, "ordinal_position": 182}, {"identifier": "K62", "position": [1, 2], "step": 182, "ordinal_position": 183}, {"identifier": "Q39", "position": [1, 3], "step": 183, "ordinal_position": 184}, {"identifier": "W26", "position": [1, 4], "step": 184, "ordinal_position": 185}, {"identifier": "V03", "position": [1, 5], "step": 185, "ordinal_position": 186}, {"identifier": "X70", "position": [1, 6], "step": 186, "ordinal_position": 187}, {"identifier": "F38", "position": [1, 7], "step": 187, "ordinal_position": 188}, {"identifier": "U13", "position": [1, 8], "step": 188, "ordinal_position": 189}, {"identifier": "I47", "position": [1, 9], "step": 189, "ordinal_position": 190}, {"identifier": "F44", "position": [2, 9], "step": 190, "ordinal_position": 191}, {"identifier": "Z79", "position": [3, 9], "step": 191, "ordinal_position": 192}, {"identifier": "K22", "position": [4, 9], "step": 192, "ordinal_position": 193}, {"identifier": "W31", "position": [5, 9], "step": 193, "ordinal_position": 194}, {"identifier": "T22", "position": [6, 9], "step": 194, "ordinal_position": 195}, {"identifier": "N91", "position": [7, 9], "step": 195, "ordinal_position": 196}, {"identifier": "O43", "position": [8, 9], "step": 196, "ordinal_position": 197}, {"identifier": "A25", "position": [9, 9], "step": 197, "ordinal_position": 198}, {"identifier": "R04", "position": [9, 8], "step": 198, "ordinal_position": 199}, {"identifier": "F94", "position": [9, 7], "step": 199, "ordinal_position": 200}, {"identifier": "G05", "position": [9, 6], "step": 200, "ordinal_position": 201}, {"identifier": "P78", "position": [9, 5], "step": 201, "ordinal_position": 202}, {"identifier": "V88", "position": [8, 5], "step": 202, "ordinal_position": 203}, {"identifier": "Q67", "position": [7, 5], "step": 203, "ordinal_position": 204}, {"identifier": "H42", "position": [7, 4], "step": 204, "ordinal_position": 205}, {"identifier": "T55", "position": [7, 3], "step": 205, "ordinal_position": 206}, {"identifier": "V81", "position": [8, 3], "step": 206, "ordinal_position": 207}, {"identifier": "U51", "position": [9, 3], "step": 207, "ordinal_position": 208}, {"identifier": "L09", "position": [9, 2], "step": 208, "ordinal_position": 209}, {"identifier": "Y10", "position": [9, 1], "step": 209, "ordinal_position": 210}, {"identifier": "F29", "position": [8, 1], "step": 210, "ordinal_position": 211}, {"identifier": "G23", "position": [7, 1], "step": 211, "ordinal_position": 212}, {"identifier": "D22", "position": [6, 1], "step": 212, "ordinal_position": 213}, {"identifier": "G56", "position": [5, 1], "step": 213, "ordinal_position": 214}, {"identifier": "T67", "position": [4, 1], "step": 214, "ordinal_position": 215}, {"identifier": "U31", "position": [3, 1], "step": 215, "ordinal_position": 216}, {"identifier": "L52", "position": [2, 1], "step": 216, "ordinal_position": 217}, {"identifier": "I24", "position": [1, 1], "step": 217, "ordinal_position": 218}, {"identifier": "K62", "position": [1, 2], "step": 218, "ordinal_position": 219}, {"identifier": "Q39", "position": [1, 3], "step": 219, "ordinal_position": 220}, {"identifier": "W26", "position": [1, 4], "step": 220, "ordinal_position": 221}, {"identifier": "V03", "position": [1, 5], "step": 221, "ordinal_position": 222}, {"identifier": "X70", "position": [1, 6], "step": 222, "ordinal_position": 223}, {"identifier": "F38", "position": [1, 7], "step": 223, "ordinal_position": 224}, {"identifier": "U13", "position": [1, 8], "step": 224, "ordinal_position": 225}, {"identifier": "I47", "position": [1, 9], "step": 225, "ordinal_position": 226}, {"identifier": "F44", "position": [2, 9], "step": 226, "ordinal_position": 227}, {"identifier": "Z79", "position": [3, 9], "step": 227, "ordinal_position": 228}, {"identifier": "K22", "position": [4, 9], "step": 228, "ordinal_position": 229}, {"identifier": "W31", "position": [5, 9], "step": 229, "ordinal_position": 230}, {"identifier": "T22", "position": [6, 9], "step": 230, "ordinal_position": 231}, {"identifier": "N91", "position": [7, 9], "step": 231, "ordinal_position": 232}, {"identifier": "O43", "position": [8, 9], "step": 232, "ordinal_position": 233}, {"identifier": "A25", "position": [9, 9], "step": 233, "ordinal_position": 234}, {"identifier": "R04", "position": [9, 8], "step": 234, "ordinal_position": 235}, {"identifier": "F94", "position": [9, 7], "step": 235, "ordinal_position": 236}, {"identifier": "G05", "position": [9, 6], "step": 236, "ordinal_position": 237}, {"identifier": "P78", "position": [9, 5], "step": 237, "ordinal_position": 238}, {"identifier": "V88", "position": [8, 5], "step": 238, "ordinal_position": 239}, {"identifier": "Q67", "position": [7, 5], "step": 239, "ordinal_position": 240}, {"identifier": "H42", "position": [7, 4], "step": 240, "ordinal_position": 241}, {"identifier": "T55", "position": [7, 3], "step": 241, "ordinal_position": 242}, {"identifier": "V81", "position": [8, 3], "step": 242, "ordinal_position": 243}, {"identifier": "U51", "position": [9, 3], "step": 243, "ordinal_position": 244}, {"identifier": "L09", "position": [9, 2], "step": 244, "ordinal_position": 245}, {"identifier": "Y10", "position": [9, 1], "step": 245, "ordinal_position": 246}, {"identifier": "F29", "position": [8, 1], "step": 246, "ordinal_position": 247}, {"identifier": "G23", "position": [7, 1], "step": 247, "ordinal_position": 248}, {"identifier": "D22", "position": [6, 1], "step": 248, "ordinal_position": 249}, {"identifier": "G56", "position": [5, 1], "step": 249, "ordinal_position": 250}, {"identifier": "T67", "position": [4, 1], "step": 250, "ordinal_position": 251}, {"identifier": "U31", "position": [3, 1], "step": 251, "ordinal_position": 252}, {"identifier": "L52", "position": [2, 1], "step": 252, "ordinal_position": 253}, {"identifier": "I24", "position": [1, 1], "step": 253, "ordinal_position": 254}, {"identifier": "K62", "position": [1, 2], "step": 254, "ordinal_position": 255}, {"identifier": "Q39", "position": [1, 3], "step": 255, "ordinal_position": 256}, {"identifier": "W26", "position": [1, 4], "step": 256, "ordinal_position": 257}, {"identifier": "V03", "position": [1, 5], "step": 257, "ordinal_position": 258}, {"identifier": "X70", "position": [1, 6], "step": 258, "ordinal_position": 259}, {"identifier": "F38", "position": [1, 7], "step": 259, "ordinal_position": 260}, {"identifier": "U13", "position": [1, 8], "step": 260, "ordinal_position": 261}, {"identifier": "I47", "position": [1, 9], "step": 261, "ordinal_position": 262}, {"identifier": "F44", "position": [2, 9], "step": 262, "ordinal_position": 263}, {"identifier": "Z79", "position": [3, 9], "step": 263, "ordinal_position": 264}, {"identifier": "K22", "position": [4, 9], "step": 264, "ordinal_position": 265}, {"identifier": "W31", "position": [5, 9], "step": 265, "ordinal_position": 266}, {"identifier": "T22", "position": [6, 9], "step": 266, "ordinal_position": 267}, {"identifier": "N91", "position": [7, 9], "step": 267, "ordinal_position": 268}, {"identifier": "O43", "position": [8, 9], "step": 268, "ordinal_position": 269}, {"identifier": "A25", "position": [9, 9], "step": 269, "ordinal_position": 270}, {"identifier": "R04", "position": [9, 8], "step": 270, "ordinal_position": 271}, {"identifier": "F94", "position": [9, 7], "step": 271, "ordinal_position": 272}, {"identifier": "G05", "position": [9, 6], "step": 272, "ordinal_position": 273}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 273, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_018.json"}} {"qa_id": "abdf7a7d2ae94669b3a84c1d0ac100da", "image_id": "L3-MazeLoop-test_11x11_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E14, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 177th position in this traversal?", "start_object_id": "E14", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [177], "ordinal_strings": ["177th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "K62", "traversal_path": [{"identifier": "E14", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "G56", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "D22", "position": [6, 1], "step": 2, "ordinal_position": 3}, {"identifier": "G23", "position": [7, 1], "step": 3, "ordinal_position": 4}, {"identifier": "F29", "position": [8, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Y10", "position": [9, 1], "step": 5, "ordinal_position": 6}, {"identifier": "L09", "position": [9, 2], "step": 6, "ordinal_position": 7}, {"identifier": "U51", "position": [9, 3], "step": 7, "ordinal_position": 8}, {"identifier": "V81", "position": [8, 3], "step": 8, "ordinal_position": 9}, {"identifier": "T55", "position": [7, 3], "step": 9, "ordinal_position": 10}, {"identifier": "H42", "position": [7, 4], "step": 10, "ordinal_position": 11}, {"identifier": "Q67", "position": [7, 5], "step": 11, "ordinal_position": 12}, {"identifier": "V88", "position": [8, 5], "step": 12, "ordinal_position": 13}, {"identifier": "P78", "position": [9, 5], "step": 13, "ordinal_position": 14}, {"identifier": "G05", "position": [9, 6], "step": 14, "ordinal_position": 15}, {"identifier": "F94", "position": [9, 7], "step": 15, "ordinal_position": 16}, {"identifier": "R04", "position": [9, 8], "step": 16, "ordinal_position": 17}, {"identifier": "A25", "position": [9, 9], "step": 17, "ordinal_position": 18}, {"identifier": "O43", "position": [8, 9], "step": 18, "ordinal_position": 19}, {"identifier": "N91", "position": [7, 9], "step": 19, "ordinal_position": 20}, {"identifier": "T22", "position": [6, 9], "step": 20, "ordinal_position": 21}, {"identifier": "W31", "position": [5, 9], "step": 21, "ordinal_position": 22}, {"identifier": "K22", "position": [4, 9], "step": 22, "ordinal_position": 23}, {"identifier": "Z79", "position": [3, 9], "step": 23, "ordinal_position": 24}, {"identifier": "F44", "position": [2, 9], "step": 24, "ordinal_position": 25}, {"identifier": "I47", "position": [1, 9], "step": 25, "ordinal_position": 26}, {"identifier": "U13", "position": [1, 8], "step": 26, "ordinal_position": 27}, {"identifier": "F38", "position": [1, 7], "step": 27, "ordinal_position": 28}, {"identifier": "X70", "position": [1, 6], "step": 28, "ordinal_position": 29}, {"identifier": "V03", "position": [1, 5], "step": 29, "ordinal_position": 30}, {"identifier": "W26", "position": [1, 4], "step": 30, "ordinal_position": 31}, {"identifier": "Q39", "position": [1, 3], "step": 31, "ordinal_position": 32}, {"identifier": "K62", "position": [1, 2], "step": 32, "ordinal_position": 33}, {"identifier": "I24", "position": [1, 1], "step": 33, "ordinal_position": 34}, {"identifier": "L52", "position": [2, 1], "step": 34, "ordinal_position": 35}, {"identifier": "U31", "position": [3, 1], "step": 35, "ordinal_position": 36}, {"identifier": "T67", "position": [4, 1], "step": 36, "ordinal_position": 37}, {"identifier": "G56", "position": [5, 1], "step": 37, "ordinal_position": 38}, {"identifier": "D22", "position": [6, 1], "step": 38, "ordinal_position": 39}, {"identifier": "G23", "position": [7, 1], "step": 39, "ordinal_position": 40}, {"identifier": "F29", "position": [8, 1], "step": 40, "ordinal_position": 41}, {"identifier": "Y10", "position": [9, 1], "step": 41, "ordinal_position": 42}, {"identifier": "L09", "position": [9, 2], "step": 42, "ordinal_position": 43}, {"identifier": "U51", "position": [9, 3], "step": 43, "ordinal_position": 44}, {"identifier": "V81", "position": [8, 3], "step": 44, "ordinal_position": 45}, {"identifier": "T55", "position": [7, 3], "step": 45, "ordinal_position": 46}, {"identifier": "H42", "position": [7, 4], "step": 46, "ordinal_position": 47}, {"identifier": "Q67", "position": [7, 5], "step": 47, "ordinal_position": 48}, {"identifier": "V88", "position": [8, 5], "step": 48, "ordinal_position": 49}, {"identifier": "P78", "position": [9, 5], "step": 49, "ordinal_position": 50}, {"identifier": "G05", "position": [9, 6], "step": 50, "ordinal_position": 51}, {"identifier": "F94", "position": [9, 7], "step": 51, "ordinal_position": 52}, {"identifier": "R04", "position": [9, 8], "step": 52, "ordinal_position": 53}, {"identifier": "A25", "position": [9, 9], "step": 53, "ordinal_position": 54}, {"identifier": "O43", "position": [8, 9], "step": 54, "ordinal_position": 55}, {"identifier": "N91", "position": [7, 9], "step": 55, "ordinal_position": 56}, {"identifier": "T22", "position": [6, 9], "step": 56, "ordinal_position": 57}, {"identifier": "W31", "position": [5, 9], "step": 57, "ordinal_position": 58}, {"identifier": "K22", "position": [4, 9], "step": 58, "ordinal_position": 59}, {"identifier": "Z79", "position": [3, 9], "step": 59, "ordinal_position": 60}, {"identifier": "F44", "position": [2, 9], "step": 60, "ordinal_position": 61}, {"identifier": "I47", "position": [1, 9], "step": 61, "ordinal_position": 62}, {"identifier": "U13", "position": [1, 8], "step": 62, "ordinal_position": 63}, {"identifier": "F38", "position": [1, 7], "step": 63, "ordinal_position": 64}, {"identifier": "X70", "position": [1, 6], "step": 64, "ordinal_position": 65}, {"identifier": "V03", "position": [1, 5], "step": 65, "ordinal_position": 66}, {"identifier": "W26", "position": [1, 4], "step": 66, "ordinal_position": 67}, {"identifier": "Q39", "position": [1, 3], "step": 67, "ordinal_position": 68}, {"identifier": "K62", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "I24", "position": [1, 1], "step": 69, "ordinal_position": 70}, {"identifier": "L52", "position": [2, 1], "step": 70, "ordinal_position": 71}, {"identifier": "U31", "position": [3, 1], "step": 71, "ordinal_position": 72}, {"identifier": "T67", "position": [4, 1], "step": 72, "ordinal_position": 73}, {"identifier": "G56", "position": [5, 1], "step": 73, "ordinal_position": 74}, {"identifier": "D22", "position": [6, 1], "step": 74, "ordinal_position": 75}, {"identifier": "G23", "position": [7, 1], "step": 75, "ordinal_position": 76}, {"identifier": "F29", "position": [8, 1], "step": 76, "ordinal_position": 77}, {"identifier": "Y10", "position": [9, 1], "step": 77, "ordinal_position": 78}, {"identifier": "L09", "position": [9, 2], "step": 78, "ordinal_position": 79}, {"identifier": "U51", "position": [9, 3], "step": 79, "ordinal_position": 80}, {"identifier": "V81", "position": [8, 3], "step": 80, "ordinal_position": 81}, {"identifier": "T55", "position": [7, 3], "step": 81, "ordinal_position": 82}, {"identifier": "H42", "position": [7, 4], "step": 82, "ordinal_position": 83}, {"identifier": "Q67", "position": [7, 5], "step": 83, "ordinal_position": 84}, {"identifier": "V88", "position": [8, 5], "step": 84, "ordinal_position": 85}, {"identifier": "P78", "position": [9, 5], "step": 85, "ordinal_position": 86}, {"identifier": "G05", "position": [9, 6], "step": 86, "ordinal_position": 87}, {"identifier": "F94", "position": [9, 7], "step": 87, "ordinal_position": 88}, {"identifier": "R04", "position": [9, 8], "step": 88, "ordinal_position": 89}, {"identifier": "A25", "position": [9, 9], "step": 89, "ordinal_position": 90}, {"identifier": "O43", "position": [8, 9], "step": 90, "ordinal_position": 91}, {"identifier": "N91", "position": [7, 9], "step": 91, "ordinal_position": 92}, {"identifier": "T22", "position": [6, 9], "step": 92, "ordinal_position": 93}, {"identifier": "W31", "position": [5, 9], "step": 93, "ordinal_position": 94}, {"identifier": "K22", "position": [4, 9], "step": 94, "ordinal_position": 95}, {"identifier": "Z79", "position": [3, 9], "step": 95, "ordinal_position": 96}, {"identifier": "F44", "position": [2, 9], "step": 96, "ordinal_position": 97}, {"identifier": "I47", "position": [1, 9], "step": 97, "ordinal_position": 98}, {"identifier": "U13", "position": [1, 8], "step": 98, "ordinal_position": 99}, {"identifier": "F38", "position": [1, 7], "step": 99, "ordinal_position": 100}, {"identifier": "X70", "position": [1, 6], "step": 100, "ordinal_position": 101}, {"identifier": "V03", "position": [1, 5], "step": 101, "ordinal_position": 102}, {"identifier": "W26", "position": [1, 4], "step": 102, "ordinal_position": 103}, {"identifier": "Q39", "position": [1, 3], "step": 103, "ordinal_position": 104}, {"identifier": "K62", "position": [1, 2], "step": 104, "ordinal_position": 105}, {"identifier": "I24", "position": [1, 1], "step": 105, "ordinal_position": 106}, {"identifier": "L52", "position": [2, 1], "step": 106, "ordinal_position": 107}, {"identifier": "U31", "position": [3, 1], "step": 107, "ordinal_position": 108}, {"identifier": "T67", "position": [4, 1], "step": 108, "ordinal_position": 109}, {"identifier": "G56", "position": [5, 1], "step": 109, "ordinal_position": 110}, {"identifier": "D22", "position": [6, 1], "step": 110, "ordinal_position": 111}, {"identifier": "G23", "position": [7, 1], "step": 111, "ordinal_position": 112}, {"identifier": "F29", "position": [8, 1], "step": 112, "ordinal_position": 113}, {"identifier": "Y10", "position": [9, 1], "step": 113, "ordinal_position": 114}, {"identifier": "L09", "position": [9, 2], "step": 114, "ordinal_position": 115}, {"identifier": "U51", "position": [9, 3], "step": 115, "ordinal_position": 116}, {"identifier": "V81", "position": [8, 3], "step": 116, "ordinal_position": 117}, {"identifier": "T55", "position": [7, 3], "step": 117, "ordinal_position": 118}, {"identifier": "H42", "position": [7, 4], "step": 118, "ordinal_position": 119}, {"identifier": "Q67", "position": [7, 5], "step": 119, "ordinal_position": 120}, {"identifier": "V88", "position": [8, 5], "step": 120, "ordinal_position": 121}, {"identifier": "P78", "position": [9, 5], "step": 121, "ordinal_position": 122}, {"identifier": "G05", "position": [9, 6], "step": 122, "ordinal_position": 123}, {"identifier": "F94", "position": [9, 7], "step": 123, "ordinal_position": 124}, {"identifier": "R04", "position": [9, 8], "step": 124, "ordinal_position": 125}, {"identifier": "A25", "position": [9, 9], "step": 125, "ordinal_position": 126}, {"identifier": "O43", "position": [8, 9], "step": 126, "ordinal_position": 127}, {"identifier": "N91", "position": [7, 9], "step": 127, "ordinal_position": 128}, {"identifier": "T22", "position": [6, 9], "step": 128, "ordinal_position": 129}, {"identifier": "W31", "position": [5, 9], "step": 129, "ordinal_position": 130}, {"identifier": "K22", "position": [4, 9], "step": 130, "ordinal_position": 131}, {"identifier": "Z79", "position": [3, 9], "step": 131, "ordinal_position": 132}, {"identifier": "F44", "position": [2, 9], "step": 132, "ordinal_position": 133}, {"identifier": "I47", "position": [1, 9], "step": 133, "ordinal_position": 134}, {"identifier": "U13", "position": [1, 8], "step": 134, "ordinal_position": 135}, {"identifier": "F38", "position": [1, 7], "step": 135, "ordinal_position": 136}, {"identifier": "X70", "position": [1, 6], "step": 136, "ordinal_position": 137}, {"identifier": "V03", "position": [1, 5], "step": 137, "ordinal_position": 138}, {"identifier": "W26", "position": [1, 4], "step": 138, "ordinal_position": 139}, {"identifier": "Q39", "position": [1, 3], "step": 139, "ordinal_position": 140}, {"identifier": "K62", "position": [1, 2], "step": 140, "ordinal_position": 141}, {"identifier": "I24", "position": [1, 1], "step": 141, "ordinal_position": 142}, {"identifier": "L52", "position": [2, 1], "step": 142, "ordinal_position": 143}, {"identifier": "U31", "position": [3, 1], "step": 143, "ordinal_position": 144}, {"identifier": "T67", "position": [4, 1], "step": 144, "ordinal_position": 145}, {"identifier": "G56", "position": [5, 1], "step": 145, "ordinal_position": 146}, {"identifier": "D22", "position": [6, 1], "step": 146, "ordinal_position": 147}, {"identifier": "G23", "position": [7, 1], "step": 147, "ordinal_position": 148}, {"identifier": "F29", "position": [8, 1], "step": 148, "ordinal_position": 149}, {"identifier": "Y10", "position": [9, 1], "step": 149, "ordinal_position": 150}, {"identifier": "L09", "position": [9, 2], "step": 150, "ordinal_position": 151}, {"identifier": "U51", "position": [9, 3], "step": 151, "ordinal_position": 152}, {"identifier": "V81", "position": [8, 3], "step": 152, "ordinal_position": 153}, {"identifier": "T55", "position": [7, 3], "step": 153, "ordinal_position": 154}, {"identifier": "H42", "position": [7, 4], "step": 154, "ordinal_position": 155}, {"identifier": "Q67", "position": [7, 5], "step": 155, "ordinal_position": 156}, {"identifier": "V88", "position": [8, 5], "step": 156, "ordinal_position": 157}, {"identifier": "P78", "position": [9, 5], "step": 157, "ordinal_position": 158}, {"identifier": "G05", "position": [9, 6], "step": 158, "ordinal_position": 159}, {"identifier": "F94", "position": [9, 7], "step": 159, "ordinal_position": 160}, {"identifier": "R04", "position": [9, 8], "step": 160, "ordinal_position": 161}, {"identifier": "A25", "position": [9, 9], "step": 161, "ordinal_position": 162}, {"identifier": "O43", "position": [8, 9], "step": 162, "ordinal_position": 163}, {"identifier": "N91", "position": [7, 9], "step": 163, "ordinal_position": 164}, {"identifier": "T22", "position": [6, 9], "step": 164, "ordinal_position": 165}, {"identifier": "W31", "position": [5, 9], "step": 165, "ordinal_position": 166}, {"identifier": "K22", "position": [4, 9], "step": 166, "ordinal_position": 167}, {"identifier": "Z79", "position": [3, 9], "step": 167, "ordinal_position": 168}, {"identifier": "F44", "position": [2, 9], "step": 168, "ordinal_position": 169}, {"identifier": "I47", "position": [1, 9], "step": 169, "ordinal_position": 170}, {"identifier": "U13", "position": [1, 8], "step": 170, "ordinal_position": 171}, {"identifier": "F38", "position": [1, 7], "step": 171, "ordinal_position": 172}, {"identifier": "X70", "position": [1, 6], "step": 172, "ordinal_position": 173}, {"identifier": "V03", "position": [1, 5], "step": 173, "ordinal_position": 174}, {"identifier": "W26", "position": [1, 4], "step": 174, "ordinal_position": 175}, {"identifier": "Q39", "position": [1, 3], "step": 175, "ordinal_position": 176}, {"identifier": "K62", "position": [1, 2], "step": 176, "ordinal_position": 177}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 177, "direction": "up", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_018.json"}} {"qa_id": "e85bb8a67f05494093beb15e731d9064", "image_id": "L3-MazeLoop-test_11x11_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H00, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "H00", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Q52", "traversal_path": [{"identifier": "H00", "position": [6, 3], "step": 0, "ordinal_position": 1}, {"identifier": "P98", "position": [5, 3], "step": 1, "ordinal_position": 2}, {"identifier": "L62", "position": [5, 4], "step": 2, "ordinal_position": 3}, {"identifier": "I56", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "F67", "position": [5, 6], "step": 4, "ordinal_position": 5}, {"identifier": "M33", "position": [5, 7], "step": 5, "ordinal_position": 6}, {"identifier": "S88", "position": [6, 7], "step": 6, "ordinal_position": 7}, {"identifier": "Q52", "position": [7, 7], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 8, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_019.json"}} {"qa_id": "81b5db330b7d4a4192cf144a2d13fa03", "image_id": "L3-MazeLoop-test_11x11_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M74, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "M74", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "P42", "traversal_path": [{"identifier": "M74", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "R96", "position": [1, 2], "step": 1, "ordinal_position": 2}, {"identifier": "P42", "position": [1, 1], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 3, "direction": "up", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_019.json"}} {"qa_id": "569f23497e0b4b1d9f2a0d2ec0d87908", "image_id": "L3-MazeLoop-test_11x11_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M62, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 11th position in this traversal?", "start_object_id": "M62", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [11], "ordinal_strings": ["11th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "D74", "traversal_path": [{"identifier": "M62", "position": [9, 3], "step": 0, "ordinal_position": 1}, {"identifier": "F51", "position": [9, 4], "step": 1, "ordinal_position": 2}, {"identifier": "E65", "position": [9, 5], "step": 2, "ordinal_position": 3}, {"identifier": "S96", "position": [9, 6], "step": 3, "ordinal_position": 4}, {"identifier": "S50", "position": [9, 7], "step": 4, "ordinal_position": 5}, {"identifier": "T08", "position": [9, 8], "step": 5, "ordinal_position": 6}, {"identifier": "W19", "position": [9, 9], "step": 6, "ordinal_position": 7}, {"identifier": "K03", "position": [8, 9], "step": 7, "ordinal_position": 8}, {"identifier": "B85", "position": [7, 9], "step": 8, "ordinal_position": 9}, {"identifier": "S76", "position": [6, 9], "step": 9, "ordinal_position": 10}, {"identifier": "D74", "position": [5, 9], "step": 10, "ordinal_position": 11}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 11, "direction": "down", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_019.json"}} {"qa_id": "e463a433a94b4cbab5b14ed09fb4d9ce", "image_id": "L3-MazeLoop-test_11x11_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K03, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "K03", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "E65", "traversal_path": [{"identifier": "K03", "position": [8, 9], "step": 0, "ordinal_position": 1}, {"identifier": "W19", "position": [9, 9], "step": 1, "ordinal_position": 2}, {"identifier": "T08", "position": [9, 8], "step": 2, "ordinal_position": 3}, {"identifier": "S50", "position": [9, 7], "step": 3, "ordinal_position": 4}, {"identifier": "S96", "position": [9, 6], "step": 4, "ordinal_position": 5}, {"identifier": "E65", "position": [9, 5], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 6, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_019.json"}} {"qa_id": "8fbda6535f324d1cbdf5acd1e939a2a1", "image_id": "L3-MazeLoop-test_11x11_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S88, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "S88", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "H00", "traversal_path": [{"identifier": "S88", "position": [6, 7], "step": 0, "ordinal_position": 1}, {"identifier": "M33", "position": [5, 7], "step": 1, "ordinal_position": 2}, {"identifier": "F67", "position": [5, 6], "step": 2, "ordinal_position": 3}, {"identifier": "I56", "position": [5, 5], "step": 3, "ordinal_position": 4}, {"identifier": "L62", "position": [5, 4], "step": 4, "ordinal_position": 5}, {"identifier": "P98", "position": [5, 3], "step": 5, "ordinal_position": 6}, {"identifier": "H00", "position": [6, 3], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 7, "direction": "left", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_019.json"}} {"qa_id": "ee6468152ea24c4f8d562d2f75b76c78", "image_id": "L3-MazeLoop-test_11x11_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P11, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 73rd position in this traversal?", "start_object_id": "P11", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [73], "ordinal_strings": ["73rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "P11", "traversal_path": [{"identifier": "P11", "position": [4, 9], "step": 0, "ordinal_position": 1}, {"identifier": "D74", "position": [5, 9], "step": 1, "ordinal_position": 2}, {"identifier": "S76", "position": [6, 9], "step": 2, "ordinal_position": 3}, {"identifier": "B85", "position": [7, 9], "step": 3, "ordinal_position": 4}, {"identifier": "K03", "position": [8, 9], "step": 4, "ordinal_position": 5}, {"identifier": "W19", "position": [9, 9], "step": 5, "ordinal_position": 6}, {"identifier": "T08", "position": [9, 8], "step": 6, "ordinal_position": 7}, {"identifier": "S50", "position": [9, 7], "step": 7, "ordinal_position": 8}, {"identifier": "S96", "position": [9, 6], "step": 8, "ordinal_position": 9}, {"identifier": "E65", "position": [9, 5], "step": 9, "ordinal_position": 10}, {"identifier": "F51", "position": [9, 4], "step": 10, "ordinal_position": 11}, {"identifier": "M62", "position": [9, 3], "step": 11, "ordinal_position": 12}, {"identifier": "T65", "position": [9, 2], "step": 12, "ordinal_position": 13}, {"identifier": "I49", "position": [9, 1], "step": 13, "ordinal_position": 14}, {"identifier": "E14", "position": [8, 1], "step": 14, "ordinal_position": 15}, {"identifier": "M00", "position": [7, 1], "step": 15, "ordinal_position": 16}, {"identifier": "Z65", "position": [6, 1], "step": 16, "ordinal_position": 17}, {"identifier": "W41", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "H51", "position": [4, 1], "step": 18, "ordinal_position": 19}, {"identifier": "C72", "position": [3, 1], "step": 19, "ordinal_position": 20}, {"identifier": "E90", "position": [2, 1], "step": 20, "ordinal_position": 21}, {"identifier": "P42", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "R96", "position": [1, 2], "step": 22, "ordinal_position": 23}, {"identifier": "M74", "position": [1, 3], "step": 23, "ordinal_position": 24}, {"identifier": "T66", "position": [2, 3], "step": 24, "ordinal_position": 25}, {"identifier": "R54", "position": [3, 3], "step": 25, "ordinal_position": 26}, {"identifier": "B06", "position": [3, 4], "step": 26, "ordinal_position": 27}, {"identifier": "U23", "position": [3, 5], "step": 27, "ordinal_position": 28}, {"identifier": "V30", "position": [3, 6], "step": 28, "ordinal_position": 29}, {"identifier": "H84", "position": [3, 7], "step": 29, "ordinal_position": 30}, {"identifier": "A28", "position": [2, 7], "step": 30, "ordinal_position": 31}, {"identifier": "K76", "position": [1, 7], "step": 31, "ordinal_position": 32}, {"identifier": "F25", "position": [1, 8], "step": 32, "ordinal_position": 33}, {"identifier": "T19", "position": [1, 9], "step": 33, "ordinal_position": 34}, {"identifier": "U48", "position": [2, 9], "step": 34, "ordinal_position": 35}, {"identifier": "A11", "position": [3, 9], "step": 35, "ordinal_position": 36}, {"identifier": "P11", "position": [4, 9], "step": 36, "ordinal_position": 37}, {"identifier": "D74", "position": [5, 9], "step": 37, "ordinal_position": 38}, {"identifier": "S76", "position": [6, 9], "step": 38, "ordinal_position": 39}, {"identifier": "B85", "position": [7, 9], "step": 39, "ordinal_position": 40}, {"identifier": "K03", "position": [8, 9], "step": 40, "ordinal_position": 41}, {"identifier": "W19", "position": [9, 9], "step": 41, "ordinal_position": 42}, {"identifier": "T08", "position": [9, 8], "step": 42, "ordinal_position": 43}, {"identifier": "S50", "position": [9, 7], "step": 43, "ordinal_position": 44}, {"identifier": "S96", "position": [9, 6], "step": 44, "ordinal_position": 45}, {"identifier": "E65", "position": [9, 5], "step": 45, "ordinal_position": 46}, {"identifier": "F51", "position": [9, 4], "step": 46, "ordinal_position": 47}, {"identifier": "M62", "position": [9, 3], "step": 47, "ordinal_position": 48}, {"identifier": "T65", "position": [9, 2], "step": 48, "ordinal_position": 49}, {"identifier": "I49", "position": [9, 1], "step": 49, "ordinal_position": 50}, {"identifier": "E14", "position": [8, 1], "step": 50, "ordinal_position": 51}, {"identifier": "M00", "position": [7, 1], "step": 51, "ordinal_position": 52}, {"identifier": "Z65", "position": [6, 1], "step": 52, "ordinal_position": 53}, {"identifier": "W41", "position": [5, 1], "step": 53, "ordinal_position": 54}, {"identifier": "H51", "position": [4, 1], "step": 54, "ordinal_position": 55}, {"identifier": "C72", "position": [3, 1], "step": 55, "ordinal_position": 56}, {"identifier": "E90", "position": [2, 1], "step": 56, "ordinal_position": 57}, {"identifier": "P42", "position": [1, 1], "step": 57, "ordinal_position": 58}, {"identifier": "R96", "position": [1, 2], "step": 58, "ordinal_position": 59}, {"identifier": "M74", "position": [1, 3], "step": 59, "ordinal_position": 60}, {"identifier": "T66", "position": [2, 3], "step": 60, "ordinal_position": 61}, {"identifier": "R54", "position": [3, 3], "step": 61, "ordinal_position": 62}, {"identifier": "B06", "position": [3, 4], "step": 62, "ordinal_position": 63}, {"identifier": "U23", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "V30", "position": [3, 6], "step": 64, "ordinal_position": 65}, {"identifier": "H84", "position": [3, 7], "step": 65, "ordinal_position": 66}, {"identifier": "A28", "position": [2, 7], "step": 66, "ordinal_position": 67}, {"identifier": "K76", "position": [1, 7], "step": 67, "ordinal_position": 68}, {"identifier": "F25", "position": [1, 8], "step": 68, "ordinal_position": 69}, {"identifier": "T19", "position": [1, 9], "step": 69, "ordinal_position": 70}, {"identifier": "U48", "position": [2, 9], "step": 70, "ordinal_position": 71}, {"identifier": "A11", "position": [3, 9], "step": 71, "ordinal_position": 72}, {"identifier": "P11", "position": [4, 9], "step": 72, "ordinal_position": 73}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 73, "direction": "right", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_019.json"}} {"qa_id": "78db361f1a9b410d94ae492ab776cdf5", "image_id": "L3-MazeLoop-test_11x11_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R54, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 70th position in this traversal?", "start_object_id": "R54", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [70], "ordinal_strings": ["70th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "A28", "traversal_path": [{"identifier": "R54", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "B06", "position": [3, 4], "step": 1, "ordinal_position": 2}, {"identifier": "U23", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "V30", "position": [3, 6], "step": 3, "ordinal_position": 4}, {"identifier": "H84", "position": [3, 7], "step": 4, "ordinal_position": 5}, {"identifier": "A28", "position": [2, 7], "step": 5, "ordinal_position": 6}, {"identifier": "K76", "position": [1, 7], "step": 6, "ordinal_position": 7}, {"identifier": "Y33", "position": [1, 6], "step": 7, "ordinal_position": 8}, {"identifier": "D16", "position": [1, 5], "step": 8, "ordinal_position": 9}, {"identifier": "S61", "position": [2, 5], "step": 9, "ordinal_position": 10}, {"identifier": "U23", "position": [3, 5], "step": 10, "ordinal_position": 11}, {"identifier": "V30", "position": [3, 6], "step": 11, "ordinal_position": 12}, {"identifier": "H84", "position": [3, 7], "step": 12, "ordinal_position": 13}, {"identifier": "A28", "position": [2, 7], "step": 13, "ordinal_position": 14}, {"identifier": "K76", "position": [1, 7], "step": 14, "ordinal_position": 15}, {"identifier": "Y33", "position": [1, 6], "step": 15, "ordinal_position": 16}, {"identifier": "D16", "position": [1, 5], "step": 16, "ordinal_position": 17}, {"identifier": "S61", "position": [2, 5], "step": 17, "ordinal_position": 18}, {"identifier": "U23", "position": [3, 5], "step": 18, "ordinal_position": 19}, {"identifier": "V30", "position": [3, 6], "step": 19, "ordinal_position": 20}, {"identifier": "H84", "position": [3, 7], "step": 20, "ordinal_position": 21}, {"identifier": "A28", "position": [2, 7], "step": 21, "ordinal_position": 22}, {"identifier": "K76", "position": [1, 7], "step": 22, "ordinal_position": 23}, {"identifier": "Y33", "position": [1, 6], "step": 23, "ordinal_position": 24}, {"identifier": "D16", "position": [1, 5], "step": 24, "ordinal_position": 25}, {"identifier": "S61", "position": [2, 5], "step": 25, "ordinal_position": 26}, {"identifier": "U23", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "V30", "position": [3, 6], "step": 27, "ordinal_position": 28}, {"identifier": "H84", "position": [3, 7], "step": 28, "ordinal_position": 29}, {"identifier": "A28", "position": [2, 7], "step": 29, "ordinal_position": 30}, {"identifier": "K76", "position": [1, 7], "step": 30, "ordinal_position": 31}, {"identifier": "Y33", "position": [1, 6], "step": 31, "ordinal_position": 32}, {"identifier": "D16", "position": [1, 5], "step": 32, "ordinal_position": 33}, {"identifier": "S61", "position": [2, 5], "step": 33, "ordinal_position": 34}, {"identifier": "U23", "position": [3, 5], "step": 34, "ordinal_position": 35}, {"identifier": "V30", "position": [3, 6], "step": 35, "ordinal_position": 36}, {"identifier": "H84", "position": [3, 7], "step": 36, "ordinal_position": 37}, {"identifier": "A28", "position": [2, 7], "step": 37, "ordinal_position": 38}, {"identifier": "K76", "position": [1, 7], "step": 38, "ordinal_position": 39}, {"identifier": "Y33", "position": [1, 6], "step": 39, "ordinal_position": 40}, {"identifier": "D16", "position": [1, 5], "step": 40, "ordinal_position": 41}, {"identifier": "S61", "position": [2, 5], "step": 41, "ordinal_position": 42}, {"identifier": "U23", "position": [3, 5], "step": 42, "ordinal_position": 43}, {"identifier": "V30", "position": [3, 6], "step": 43, "ordinal_position": 44}, {"identifier": "H84", "position": [3, 7], "step": 44, "ordinal_position": 45}, {"identifier": "A28", "position": [2, 7], "step": 45, "ordinal_position": 46}, {"identifier": "K76", "position": [1, 7], "step": 46, "ordinal_position": 47}, {"identifier": "Y33", "position": [1, 6], "step": 47, "ordinal_position": 48}, {"identifier": "D16", "position": [1, 5], "step": 48, "ordinal_position": 49}, {"identifier": "S61", "position": [2, 5], "step": 49, "ordinal_position": 50}, {"identifier": "U23", "position": [3, 5], "step": 50, "ordinal_position": 51}, {"identifier": "V30", "position": [3, 6], "step": 51, "ordinal_position": 52}, {"identifier": "H84", "position": [3, 7], "step": 52, "ordinal_position": 53}, {"identifier": "A28", "position": [2, 7], "step": 53, "ordinal_position": 54}, {"identifier": "K76", "position": [1, 7], "step": 54, "ordinal_position": 55}, {"identifier": "Y33", "position": [1, 6], "step": 55, "ordinal_position": 56}, {"identifier": "D16", "position": [1, 5], "step": 56, "ordinal_position": 57}, {"identifier": "S61", "position": [2, 5], "step": 57, "ordinal_position": 58}, {"identifier": "U23", "position": [3, 5], "step": 58, "ordinal_position": 59}, {"identifier": "V30", "position": [3, 6], "step": 59, "ordinal_position": 60}, {"identifier": "H84", "position": [3, 7], "step": 60, "ordinal_position": 61}, {"identifier": "A28", "position": [2, 7], "step": 61, "ordinal_position": 62}, {"identifier": "K76", "position": [1, 7], "step": 62, "ordinal_position": 63}, {"identifier": "Y33", "position": [1, 6], "step": 63, "ordinal_position": 64}, {"identifier": "D16", "position": [1, 5], "step": 64, "ordinal_position": 65}, {"identifier": "S61", "position": [2, 5], "step": 65, "ordinal_position": 66}, {"identifier": "U23", "position": [3, 5], "step": 66, "ordinal_position": 67}, {"identifier": "V30", "position": [3, 6], "step": 67, "ordinal_position": 68}, {"identifier": "H84", "position": [3, 7], "step": 68, "ordinal_position": 69}, {"identifier": "A28", "position": [2, 7], "step": 69, "ordinal_position": 70}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 70, "direction": "down", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_019.json"}} {"qa_id": "3f10066d46c742cba9ae5d8dc1bcb8c7", "image_id": "L3-MazeLoop-test_11x11_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U20, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 70th position in this traversal?", "start_object_id": "U20", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [70], "ordinal_strings": ["70th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "K76", "traversal_path": [{"identifier": "U20", "position": [7, 2], "step": 0, "ordinal_position": 1}, {"identifier": "M00", "position": [7, 1], "step": 1, "ordinal_position": 2}, {"identifier": "E14", "position": [8, 1], "step": 2, "ordinal_position": 3}, {"identifier": "I49", "position": [9, 1], "step": 3, "ordinal_position": 4}, {"identifier": "T65", "position": [9, 2], "step": 4, "ordinal_position": 5}, {"identifier": "M62", "position": [9, 3], "step": 5, "ordinal_position": 6}, {"identifier": "F51", "position": [9, 4], "step": 6, "ordinal_position": 7}, {"identifier": "E65", "position": [9, 5], "step": 7, "ordinal_position": 8}, {"identifier": "S96", "position": [9, 6], "step": 8, "ordinal_position": 9}, {"identifier": "S50", "position": [9, 7], "step": 9, "ordinal_position": 10}, {"identifier": "T08", "position": [9, 8], "step": 10, "ordinal_position": 11}, {"identifier": "W19", "position": [9, 9], "step": 11, "ordinal_position": 12}, {"identifier": "K03", "position": [8, 9], "step": 12, "ordinal_position": 13}, {"identifier": "B85", "position": [7, 9], "step": 13, "ordinal_position": 14}, {"identifier": "S76", "position": [6, 9], "step": 14, "ordinal_position": 15}, {"identifier": "D74", "position": [5, 9], "step": 15, "ordinal_position": 16}, {"identifier": "P11", "position": [4, 9], "step": 16, "ordinal_position": 17}, {"identifier": "A11", "position": [3, 9], "step": 17, "ordinal_position": 18}, {"identifier": "U48", "position": [2, 9], "step": 18, "ordinal_position": 19}, {"identifier": "T19", "position": [1, 9], "step": 19, "ordinal_position": 20}, {"identifier": "F25", "position": [1, 8], "step": 20, "ordinal_position": 21}, {"identifier": "K76", "position": [1, 7], "step": 21, "ordinal_position": 22}, {"identifier": "Y33", "position": [1, 6], "step": 22, "ordinal_position": 23}, {"identifier": "D16", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "S61", "position": [2, 5], "step": 24, "ordinal_position": 25}, {"identifier": "U23", "position": [3, 5], "step": 25, "ordinal_position": 26}, {"identifier": "V30", "position": [3, 6], "step": 26, "ordinal_position": 27}, {"identifier": "H84", "position": [3, 7], "step": 27, "ordinal_position": 28}, {"identifier": "A28", "position": [2, 7], "step": 28, "ordinal_position": 29}, {"identifier": "K76", "position": [1, 7], "step": 29, "ordinal_position": 30}, {"identifier": "Y33", "position": [1, 6], "step": 30, "ordinal_position": 31}, {"identifier": "D16", "position": [1, 5], "step": 31, "ordinal_position": 32}, {"identifier": "S61", "position": [2, 5], "step": 32, "ordinal_position": 33}, {"identifier": "U23", "position": [3, 5], "step": 33, "ordinal_position": 34}, {"identifier": "V30", "position": [3, 6], "step": 34, "ordinal_position": 35}, {"identifier": "H84", "position": [3, 7], "step": 35, "ordinal_position": 36}, {"identifier": "A28", "position": [2, 7], "step": 36, "ordinal_position": 37}, {"identifier": "K76", "position": [1, 7], "step": 37, "ordinal_position": 38}, {"identifier": "Y33", "position": [1, 6], "step": 38, "ordinal_position": 39}, {"identifier": "D16", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "S61", "position": [2, 5], "step": 40, "ordinal_position": 41}, {"identifier": "U23", "position": [3, 5], "step": 41, "ordinal_position": 42}, {"identifier": "V30", "position": [3, 6], "step": 42, "ordinal_position": 43}, {"identifier": "H84", "position": [3, 7], "step": 43, "ordinal_position": 44}, {"identifier": "A28", "position": [2, 7], "step": 44, "ordinal_position": 45}, {"identifier": "K76", "position": [1, 7], "step": 45, "ordinal_position": 46}, {"identifier": "Y33", "position": [1, 6], "step": 46, "ordinal_position": 47}, {"identifier": "D16", "position": [1, 5], "step": 47, "ordinal_position": 48}, {"identifier": "S61", "position": [2, 5], "step": 48, "ordinal_position": 49}, {"identifier": "U23", "position": [3, 5], "step": 49, "ordinal_position": 50}, {"identifier": "V30", "position": [3, 6], "step": 50, "ordinal_position": 51}, {"identifier": "H84", "position": [3, 7], "step": 51, "ordinal_position": 52}, {"identifier": "A28", "position": [2, 7], "step": 52, "ordinal_position": 53}, {"identifier": "K76", "position": [1, 7], "step": 53, "ordinal_position": 54}, {"identifier": "Y33", "position": [1, 6], "step": 54, "ordinal_position": 55}, {"identifier": "D16", "position": [1, 5], "step": 55, "ordinal_position": 56}, {"identifier": "S61", "position": [2, 5], "step": 56, "ordinal_position": 57}, {"identifier": "U23", "position": [3, 5], "step": 57, "ordinal_position": 58}, {"identifier": "V30", "position": [3, 6], "step": 58, "ordinal_position": 59}, {"identifier": "H84", "position": [3, 7], "step": 59, "ordinal_position": 60}, {"identifier": "A28", "position": [2, 7], "step": 60, "ordinal_position": 61}, {"identifier": "K76", "position": [1, 7], "step": 61, "ordinal_position": 62}, {"identifier": "Y33", "position": [1, 6], "step": 62, "ordinal_position": 63}, {"identifier": "D16", "position": [1, 5], "step": 63, "ordinal_position": 64}, {"identifier": "S61", "position": [2, 5], "step": 64, "ordinal_position": 65}, {"identifier": "U23", "position": [3, 5], "step": 65, "ordinal_position": 66}, {"identifier": "V30", "position": [3, 6], "step": 66, "ordinal_position": 67}, {"identifier": "H84", "position": [3, 7], "step": 67, "ordinal_position": 68}, {"identifier": "A28", "position": [2, 7], "step": 68, "ordinal_position": 69}, {"identifier": "K76", "position": [1, 7], "step": 69, "ordinal_position": 70}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 70, "direction": "up", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_019.json"}} {"qa_id": "ed74a7fd0f884043aeb774dcef945cee", "image_id": "L3-MazeLoop-test_11x11_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S61, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 21st position in this traversal?", "start_object_id": "S61", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [21], "ordinal_strings": ["21st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "T65", "traversal_path": [{"identifier": "S61", "position": [2, 5], "step": 0, "ordinal_position": 1}, {"identifier": "D16", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "Y33", "position": [1, 6], "step": 2, "ordinal_position": 3}, {"identifier": "K76", "position": [1, 7], "step": 3, "ordinal_position": 4}, {"identifier": "F25", "position": [1, 8], "step": 4, "ordinal_position": 5}, {"identifier": "T19", "position": [1, 9], "step": 5, "ordinal_position": 6}, {"identifier": "U48", "position": [2, 9], "step": 6, "ordinal_position": 7}, {"identifier": "A11", "position": [3, 9], "step": 7, "ordinal_position": 8}, {"identifier": "P11", "position": [4, 9], "step": 8, "ordinal_position": 9}, {"identifier": "D74", "position": [5, 9], "step": 9, "ordinal_position": 10}, {"identifier": "S76", "position": [6, 9], "step": 10, "ordinal_position": 11}, {"identifier": "B85", "position": [7, 9], "step": 11, "ordinal_position": 12}, {"identifier": "K03", "position": [8, 9], "step": 12, "ordinal_position": 13}, {"identifier": "W19", "position": [9, 9], "step": 13, "ordinal_position": 14}, {"identifier": "T08", "position": [9, 8], "step": 14, "ordinal_position": 15}, {"identifier": "S50", "position": [9, 7], "step": 15, "ordinal_position": 16}, {"identifier": "S96", "position": [9, 6], "step": 16, "ordinal_position": 17}, {"identifier": "E65", "position": [9, 5], "step": 17, "ordinal_position": 18}, {"identifier": "F51", "position": [9, 4], "step": 18, "ordinal_position": 19}, {"identifier": "M62", "position": [9, 3], "step": 19, "ordinal_position": 20}, {"identifier": "T65", "position": [9, 2], "step": 20, "ordinal_position": 21}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 21, "direction": "left", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_019.json"}} {"qa_id": "2b36df5d3a674491ba286814dbf2913a", "image_id": "L3-MazeLoop-test_11x11_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T19, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 36th position in this traversal?", "start_object_id": "T19", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [36], "ordinal_strings": ["36th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "Y33", "traversal_path": [{"identifier": "T19", "position": [1, 9], "step": 0, "ordinal_position": 1}, {"identifier": "U48", "position": [2, 9], "step": 1, "ordinal_position": 2}, {"identifier": "A11", "position": [3, 9], "step": 2, "ordinal_position": 3}, {"identifier": "P11", "position": [4, 9], "step": 3, "ordinal_position": 4}, {"identifier": "D74", "position": [5, 9], "step": 4, "ordinal_position": 5}, {"identifier": "S76", "position": [6, 9], "step": 5, "ordinal_position": 6}, {"identifier": "B85", "position": [7, 9], "step": 6, "ordinal_position": 7}, {"identifier": "K03", "position": [8, 9], "step": 7, "ordinal_position": 8}, {"identifier": "W19", "position": [9, 9], "step": 8, "ordinal_position": 9}, {"identifier": "T08", "position": [9, 8], "step": 9, "ordinal_position": 10}, {"identifier": "S50", "position": [9, 7], "step": 10, "ordinal_position": 11}, {"identifier": "S96", "position": [9, 6], "step": 11, "ordinal_position": 12}, {"identifier": "E65", "position": [9, 5], "step": 12, "ordinal_position": 13}, {"identifier": "F51", "position": [9, 4], "step": 13, "ordinal_position": 14}, {"identifier": "M62", "position": [9, 3], "step": 14, "ordinal_position": 15}, {"identifier": "T65", "position": [9, 2], "step": 15, "ordinal_position": 16}, {"identifier": "I49", "position": [9, 1], "step": 16, "ordinal_position": 17}, {"identifier": "E14", "position": [8, 1], "step": 17, "ordinal_position": 18}, {"identifier": "M00", "position": [7, 1], "step": 18, "ordinal_position": 19}, {"identifier": "Z65", "position": [6, 1], "step": 19, "ordinal_position": 20}, {"identifier": "W41", "position": [5, 1], "step": 20, "ordinal_position": 21}, {"identifier": "H51", "position": [4, 1], "step": 21, "ordinal_position": 22}, {"identifier": "C72", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "E90", "position": [2, 1], "step": 23, "ordinal_position": 24}, {"identifier": "P42", "position": [1, 1], "step": 24, "ordinal_position": 25}, {"identifier": "R96", "position": [1, 2], "step": 25, "ordinal_position": 26}, {"identifier": "M74", "position": [1, 3], "step": 26, "ordinal_position": 27}, {"identifier": "T66", "position": [2, 3], "step": 27, "ordinal_position": 28}, {"identifier": "R54", "position": [3, 3], "step": 28, "ordinal_position": 29}, {"identifier": "B06", "position": [3, 4], "step": 29, "ordinal_position": 30}, {"identifier": "U23", "position": [3, 5], "step": 30, "ordinal_position": 31}, {"identifier": "V30", "position": [3, 6], "step": 31, "ordinal_position": 32}, {"identifier": "H84", "position": [3, 7], "step": 32, "ordinal_position": 33}, {"identifier": "A28", "position": [2, 7], "step": 33, "ordinal_position": 34}, {"identifier": "K76", "position": [1, 7], "step": 34, "ordinal_position": 35}, {"identifier": "Y33", "position": [1, 6], "step": 35, "ordinal_position": 36}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 36, "direction": "right", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_019.json"}} {"qa_id": "9eeffacc388c441781878bf0381ecd52", "image_id": "L3-MazeLoop-test_11x11_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U23, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 294th position in this traversal?", "start_object_id": "U23", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [294], "ordinal_strings": ["294th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "F25", "traversal_path": [{"identifier": "U23", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "S61", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "D16", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "Y33", "position": [1, 6], "step": 3, "ordinal_position": 4}, {"identifier": "K76", "position": [1, 7], "step": 4, "ordinal_position": 5}, {"identifier": "F25", "position": [1, 8], "step": 5, "ordinal_position": 6}, {"identifier": "T19", "position": [1, 9], "step": 6, "ordinal_position": 7}, {"identifier": "U48", "position": [2, 9], "step": 7, "ordinal_position": 8}, {"identifier": "A11", "position": [3, 9], "step": 8, "ordinal_position": 9}, {"identifier": "P11", "position": [4, 9], "step": 9, "ordinal_position": 10}, {"identifier": "D74", "position": [5, 9], "step": 10, "ordinal_position": 11}, {"identifier": "S76", "position": [6, 9], "step": 11, "ordinal_position": 12}, {"identifier": "B85", "position": [7, 9], "step": 12, "ordinal_position": 13}, {"identifier": "K03", "position": [8, 9], "step": 13, "ordinal_position": 14}, {"identifier": "W19", "position": [9, 9], "step": 14, "ordinal_position": 15}, {"identifier": "T08", "position": [9, 8], "step": 15, "ordinal_position": 16}, {"identifier": "S50", "position": [9, 7], "step": 16, "ordinal_position": 17}, {"identifier": "S96", "position": [9, 6], "step": 17, "ordinal_position": 18}, {"identifier": "E65", "position": [9, 5], "step": 18, "ordinal_position": 19}, {"identifier": "F51", "position": [9, 4], "step": 19, "ordinal_position": 20}, {"identifier": "M62", "position": [9, 3], "step": 20, "ordinal_position": 21}, {"identifier": "T65", "position": [9, 2], "step": 21, "ordinal_position": 22}, {"identifier": "I49", "position": [9, 1], "step": 22, "ordinal_position": 23}, {"identifier": "E14", "position": [8, 1], "step": 23, "ordinal_position": 24}, {"identifier": "M00", "position": [7, 1], "step": 24, "ordinal_position": 25}, {"identifier": "Z65", "position": [6, 1], "step": 25, "ordinal_position": 26}, {"identifier": "W41", "position": [5, 1], "step": 26, "ordinal_position": 27}, {"identifier": "H51", "position": [4, 1], "step": 27, "ordinal_position": 28}, {"identifier": "C72", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "E90", "position": [2, 1], "step": 29, "ordinal_position": 30}, {"identifier": "P42", "position": [1, 1], "step": 30, "ordinal_position": 31}, {"identifier": "R96", "position": [1, 2], "step": 31, "ordinal_position": 32}, {"identifier": "M74", "position": [1, 3], "step": 32, "ordinal_position": 33}, {"identifier": "T66", "position": [2, 3], "step": 33, "ordinal_position": 34}, {"identifier": "R54", "position": [3, 3], "step": 34, "ordinal_position": 35}, {"identifier": "B06", "position": [3, 4], "step": 35, "ordinal_position": 36}, {"identifier": "U23", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "V30", "position": [3, 6], "step": 37, "ordinal_position": 38}, {"identifier": "H84", "position": [3, 7], "step": 38, "ordinal_position": 39}, {"identifier": "A28", "position": [2, 7], "step": 39, "ordinal_position": 40}, {"identifier": "K76", "position": [1, 7], "step": 40, "ordinal_position": 41}, {"identifier": "F25", "position": [1, 8], "step": 41, "ordinal_position": 42}, {"identifier": "T19", "position": [1, 9], "step": 42, "ordinal_position": 43}, {"identifier": "U48", "position": [2, 9], "step": 43, "ordinal_position": 44}, {"identifier": "A11", "position": [3, 9], "step": 44, "ordinal_position": 45}, {"identifier": "P11", "position": [4, 9], "step": 45, "ordinal_position": 46}, {"identifier": "D74", "position": [5, 9], "step": 46, "ordinal_position": 47}, {"identifier": "S76", "position": [6, 9], "step": 47, "ordinal_position": 48}, {"identifier": "B85", "position": [7, 9], "step": 48, "ordinal_position": 49}, {"identifier": "K03", "position": [8, 9], "step": 49, "ordinal_position": 50}, {"identifier": "W19", "position": [9, 9], "step": 50, "ordinal_position": 51}, {"identifier": "T08", "position": [9, 8], "step": 51, "ordinal_position": 52}, {"identifier": "S50", "position": [9, 7], "step": 52, "ordinal_position": 53}, {"identifier": "S96", "position": [9, 6], "step": 53, "ordinal_position": 54}, {"identifier": "E65", "position": [9, 5], "step": 54, "ordinal_position": 55}, {"identifier": "F51", "position": [9, 4], "step": 55, "ordinal_position": 56}, {"identifier": "M62", "position": [9, 3], "step": 56, "ordinal_position": 57}, {"identifier": "T65", "position": [9, 2], "step": 57, "ordinal_position": 58}, {"identifier": "I49", "position": [9, 1], "step": 58, "ordinal_position": 59}, {"identifier": "E14", "position": [8, 1], "step": 59, "ordinal_position": 60}, {"identifier": "M00", "position": [7, 1], "step": 60, "ordinal_position": 61}, {"identifier": "Z65", "position": [6, 1], "step": 61, "ordinal_position": 62}, {"identifier": "W41", "position": [5, 1], "step": 62, "ordinal_position": 63}, {"identifier": "H51", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "C72", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "E90", "position": [2, 1], "step": 65, "ordinal_position": 66}, {"identifier": "P42", "position": [1, 1], "step": 66, "ordinal_position": 67}, {"identifier": "R96", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "M74", "position": [1, 3], "step": 68, "ordinal_position": 69}, {"identifier": "T66", "position": [2, 3], "step": 69, "ordinal_position": 70}, {"identifier": "R54", "position": [3, 3], "step": 70, "ordinal_position": 71}, {"identifier": "B06", "position": [3, 4], "step": 71, "ordinal_position": 72}, {"identifier": "U23", "position": [3, 5], "step": 72, "ordinal_position": 73}, {"identifier": "V30", "position": [3, 6], "step": 73, "ordinal_position": 74}, {"identifier": "H84", "position": [3, 7], "step": 74, "ordinal_position": 75}, {"identifier": "A28", "position": [2, 7], "step": 75, "ordinal_position": 76}, {"identifier": "K76", "position": [1, 7], "step": 76, "ordinal_position": 77}, {"identifier": "F25", "position": [1, 8], "step": 77, "ordinal_position": 78}, {"identifier": "T19", "position": [1, 9], "step": 78, "ordinal_position": 79}, {"identifier": "U48", "position": [2, 9], "step": 79, "ordinal_position": 80}, {"identifier": "A11", "position": [3, 9], "step": 80, "ordinal_position": 81}, {"identifier": "P11", "position": [4, 9], "step": 81, "ordinal_position": 82}, {"identifier": "D74", "position": [5, 9], "step": 82, "ordinal_position": 83}, {"identifier": "S76", "position": [6, 9], "step": 83, "ordinal_position": 84}, {"identifier": "B85", "position": [7, 9], "step": 84, "ordinal_position": 85}, {"identifier": "K03", "position": [8, 9], "step": 85, "ordinal_position": 86}, {"identifier": "W19", "position": [9, 9], "step": 86, "ordinal_position": 87}, {"identifier": "T08", "position": [9, 8], "step": 87, "ordinal_position": 88}, {"identifier": "S50", "position": [9, 7], "step": 88, "ordinal_position": 89}, {"identifier": "S96", "position": [9, 6], "step": 89, "ordinal_position": 90}, {"identifier": "E65", "position": [9, 5], "step": 90, "ordinal_position": 91}, {"identifier": "F51", "position": [9, 4], "step": 91, "ordinal_position": 92}, {"identifier": "M62", "position": [9, 3], "step": 92, "ordinal_position": 93}, {"identifier": "T65", "position": [9, 2], "step": 93, "ordinal_position": 94}, {"identifier": "I49", "position": [9, 1], "step": 94, "ordinal_position": 95}, {"identifier": "E14", "position": [8, 1], "step": 95, "ordinal_position": 96}, {"identifier": "M00", "position": [7, 1], "step": 96, "ordinal_position": 97}, {"identifier": "Z65", "position": [6, 1], "step": 97, "ordinal_position": 98}, {"identifier": "W41", "position": [5, 1], "step": 98, "ordinal_position": 99}, {"identifier": "H51", "position": [4, 1], "step": 99, "ordinal_position": 100}, {"identifier": "C72", "position": [3, 1], "step": 100, "ordinal_position": 101}, {"identifier": "E90", "position": [2, 1], "step": 101, "ordinal_position": 102}, {"identifier": "P42", "position": [1, 1], "step": 102, "ordinal_position": 103}, {"identifier": "R96", "position": [1, 2], "step": 103, "ordinal_position": 104}, {"identifier": "M74", "position": [1, 3], "step": 104, "ordinal_position": 105}, {"identifier": "T66", "position": [2, 3], "step": 105, "ordinal_position": 106}, {"identifier": "R54", "position": [3, 3], "step": 106, "ordinal_position": 107}, {"identifier": "B06", "position": [3, 4], "step": 107, "ordinal_position": 108}, {"identifier": "U23", "position": [3, 5], "step": 108, "ordinal_position": 109}, {"identifier": "V30", "position": [3, 6], "step": 109, "ordinal_position": 110}, {"identifier": "H84", "position": [3, 7], "step": 110, "ordinal_position": 111}, {"identifier": "A28", "position": [2, 7], "step": 111, "ordinal_position": 112}, {"identifier": "K76", "position": [1, 7], "step": 112, "ordinal_position": 113}, {"identifier": "F25", "position": [1, 8], "step": 113, "ordinal_position": 114}, {"identifier": "T19", "position": [1, 9], "step": 114, "ordinal_position": 115}, {"identifier": "U48", "position": [2, 9], "step": 115, "ordinal_position": 116}, {"identifier": "A11", "position": [3, 9], "step": 116, "ordinal_position": 117}, {"identifier": "P11", "position": [4, 9], "step": 117, "ordinal_position": 118}, {"identifier": "D74", "position": [5, 9], "step": 118, "ordinal_position": 119}, {"identifier": "S76", "position": [6, 9], "step": 119, "ordinal_position": 120}, {"identifier": "B85", "position": [7, 9], "step": 120, "ordinal_position": 121}, {"identifier": "K03", "position": [8, 9], "step": 121, "ordinal_position": 122}, {"identifier": "W19", "position": [9, 9], "step": 122, "ordinal_position": 123}, {"identifier": "T08", "position": [9, 8], "step": 123, "ordinal_position": 124}, {"identifier": "S50", "position": [9, 7], "step": 124, "ordinal_position": 125}, {"identifier": "S96", "position": [9, 6], "step": 125, "ordinal_position": 126}, {"identifier": "E65", "position": [9, 5], "step": 126, "ordinal_position": 127}, {"identifier": "F51", "position": [9, 4], "step": 127, "ordinal_position": 128}, {"identifier": "M62", "position": [9, 3], "step": 128, "ordinal_position": 129}, {"identifier": "T65", "position": [9, 2], "step": 129, "ordinal_position": 130}, {"identifier": "I49", "position": [9, 1], "step": 130, "ordinal_position": 131}, {"identifier": "E14", "position": [8, 1], "step": 131, "ordinal_position": 132}, {"identifier": "M00", "position": [7, 1], "step": 132, "ordinal_position": 133}, {"identifier": "Z65", "position": [6, 1], "step": 133, "ordinal_position": 134}, {"identifier": "W41", "position": [5, 1], "step": 134, "ordinal_position": 135}, {"identifier": "H51", "position": [4, 1], "step": 135, "ordinal_position": 136}, {"identifier": "C72", "position": [3, 1], "step": 136, "ordinal_position": 137}, {"identifier": "E90", 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149, "ordinal_position": 150}, {"identifier": "T19", "position": [1, 9], "step": 150, "ordinal_position": 151}, {"identifier": "U48", "position": [2, 9], "step": 151, "ordinal_position": 152}, {"identifier": "A11", "position": [3, 9], "step": 152, "ordinal_position": 153}, {"identifier": "P11", "position": [4, 9], "step": 153, "ordinal_position": 154}, {"identifier": "D74", "position": [5, 9], "step": 154, "ordinal_position": 155}, {"identifier": "S76", "position": [6, 9], "step": 155, "ordinal_position": 156}, {"identifier": "B85", "position": [7, 9], "step": 156, "ordinal_position": 157}, {"identifier": "K03", "position": [8, 9], "step": 157, "ordinal_position": 158}, {"identifier": "W19", "position": [9, 9], "step": 158, "ordinal_position": 159}, {"identifier": "T08", "position": [9, 8], "step": 159, "ordinal_position": 160}, {"identifier": "S50", "position": [9, 7], "step": 160, "ordinal_position": 161}, {"identifier": "S96", "position": [9, 6], "step": 161, "ordinal_position": 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"position": [1, 2], "step": 211, "ordinal_position": 212}, {"identifier": "M74", "position": [1, 3], "step": 212, "ordinal_position": 213}, {"identifier": "T66", "position": [2, 3], "step": 213, "ordinal_position": 214}, {"identifier": "R54", "position": [3, 3], "step": 214, "ordinal_position": 215}, {"identifier": "B06", "position": [3, 4], "step": 215, "ordinal_position": 216}, {"identifier": "U23", "position": [3, 5], "step": 216, "ordinal_position": 217}, {"identifier": "V30", "position": [3, 6], "step": 217, "ordinal_position": 218}, {"identifier": "H84", "position": [3, 7], "step": 218, "ordinal_position": 219}, {"identifier": "A28", "position": [2, 7], "step": 219, "ordinal_position": 220}, {"identifier": "K76", "position": [1, 7], "step": 220, "ordinal_position": 221}, {"identifier": "F25", "position": [1, 8], "step": 221, "ordinal_position": 222}, {"identifier": "T19", "position": [1, 9], "step": 222, "ordinal_position": 223}, {"identifier": "U48", "position": [2, 9], "step": 223, "ordinal_position": 224}, {"identifier": "A11", "position": [3, 9], "step": 224, "ordinal_position": 225}, {"identifier": "P11", "position": [4, 9], "step": 225, "ordinal_position": 226}, {"identifier": "D74", "position": [5, 9], "step": 226, "ordinal_position": 227}, {"identifier": "S76", "position": [6, 9], "step": 227, "ordinal_position": 228}, {"identifier": "B85", "position": [7, 9], "step": 228, "ordinal_position": 229}, {"identifier": "K03", "position": [8, 9], "step": 229, "ordinal_position": 230}, {"identifier": "W19", "position": [9, 9], "step": 230, "ordinal_position": 231}, {"identifier": "T08", "position": [9, 8], "step": 231, "ordinal_position": 232}, {"identifier": "S50", "position": [9, 7], "step": 232, "ordinal_position": 233}, {"identifier": "S96", "position": [9, 6], "step": 233, "ordinal_position": 234}, {"identifier": "E65", "position": [9, 5], "step": 234, "ordinal_position": 235}, {"identifier": "F51", "position": [9, 4], "step": 235, "ordinal_position": 236}, {"identifier": "M62", "position": [9, 3], "step": 236, "ordinal_position": 237}, {"identifier": "T65", "position": [9, 2], "step": 237, "ordinal_position": 238}, {"identifier": "I49", "position": [9, 1], "step": 238, "ordinal_position": 239}, {"identifier": "E14", "position": [8, 1], "step": 239, "ordinal_position": 240}, {"identifier": "M00", "position": [7, 1], "step": 240, "ordinal_position": 241}, {"identifier": "Z65", "position": [6, 1], "step": 241, "ordinal_position": 242}, {"identifier": "W41", "position": [5, 1], "step": 242, "ordinal_position": 243}, {"identifier": "H51", "position": [4, 1], "step": 243, "ordinal_position": 244}, {"identifier": "C72", "position": [3, 1], "step": 244, "ordinal_position": 245}, {"identifier": "E90", "position": [2, 1], "step": 245, "ordinal_position": 246}, {"identifier": "P42", "position": [1, 1], "step": 246, "ordinal_position": 247}, {"identifier": "R96", "position": [1, 2], "step": 247, "ordinal_position": 248}, {"identifier": "M74", "position": [1, 3], "step": 248, "ordinal_position": 249}, {"identifier": "T66", "position": [2, 3], "step": 249, "ordinal_position": 250}, {"identifier": "R54", "position": [3, 3], "step": 250, "ordinal_position": 251}, {"identifier": "B06", "position": [3, 4], "step": 251, "ordinal_position": 252}, {"identifier": "U23", "position": [3, 5], "step": 252, "ordinal_position": 253}, {"identifier": "V30", "position": [3, 6], "step": 253, "ordinal_position": 254}, {"identifier": "H84", "position": [3, 7], "step": 254, "ordinal_position": 255}, {"identifier": "A28", "position": [2, 7], "step": 255, "ordinal_position": 256}, {"identifier": "K76", "position": [1, 7], "step": 256, "ordinal_position": 257}, {"identifier": "F25", "position": [1, 8], "step": 257, "ordinal_position": 258}, {"identifier": "T19", "position": [1, 9], "step": 258, "ordinal_position": 259}, {"identifier": "U48", "position": [2, 9], "step": 259, "ordinal_position": 260}, {"identifier": "A11", "position": [3, 9], "step": 260, "ordinal_position": 261}, {"identifier": "P11", "position": [4, 9], "step": 261, "ordinal_position": 262}, {"identifier": "D74", "position": [5, 9], "step": 262, "ordinal_position": 263}, {"identifier": "S76", "position": [6, 9], "step": 263, "ordinal_position": 264}, {"identifier": "B85", "position": [7, 9], "step": 264, "ordinal_position": 265}, {"identifier": "K03", "position": [8, 9], "step": 265, "ordinal_position": 266}, {"identifier": "W19", "position": [9, 9], "step": 266, "ordinal_position": 267}, {"identifier": "T08", "position": [9, 8], "step": 267, "ordinal_position": 268}, {"identifier": "S50", "position": [9, 7], "step": 268, "ordinal_position": 269}, {"identifier": "S96", "position": [9, 6], "step": 269, "ordinal_position": 270}, {"identifier": "E65", "position": [9, 5], "step": 270, "ordinal_position": 271}, {"identifier": "F51", "position": [9, 4], "step": 271, "ordinal_position": 272}, {"identifier": "M62", "position": [9, 3], "step": 272, "ordinal_position": 273}, {"identifier": "T65", "position": [9, 2], "step": 273, "ordinal_position": 274}, {"identifier": "I49", "position": [9, 1], "step": 274, "ordinal_position": 275}, {"identifier": "E14", "position": [8, 1], "step": 275, "ordinal_position": 276}, {"identifier": "M00", "position": [7, 1], "step": 276, "ordinal_position": 277}, {"identifier": "Z65", "position": [6, 1], "step": 277, "ordinal_position": 278}, {"identifier": "W41", "position": [5, 1], "step": 278, "ordinal_position": 279}, {"identifier": "H51", "position": [4, 1], "step": 279, "ordinal_position": 280}, {"identifier": "C72", "position": [3, 1], "step": 280, "ordinal_position": 281}, {"identifier": "E90", "position": [2, 1], "step": 281, "ordinal_position": 282}, {"identifier": "P42", "position": [1, 1], "step": 282, "ordinal_position": 283}, {"identifier": "R96", "position": [1, 2], "step": 283, "ordinal_position": 284}, {"identifier": "M74", "position": [1, 3], "step": 284, "ordinal_position": 285}, {"identifier": "T66", "position": [2, 3], "step": 285, "ordinal_position": 286}, {"identifier": "R54", "position": [3, 3], "step": 286, "ordinal_position": 287}, {"identifier": "B06", "position": [3, 4], "step": 287, "ordinal_position": 288}, {"identifier": "U23", "position": [3, 5], "step": 288, "ordinal_position": 289}, {"identifier": "V30", "position": [3, 6], "step": 289, "ordinal_position": 290}, {"identifier": "H84", "position": [3, 7], "step": 290, "ordinal_position": 291}, {"identifier": "A28", "position": [2, 7], "step": 291, "ordinal_position": 292}, {"identifier": "K76", "position": [1, 7], "step": 292, "ordinal_position": 293}, {"identifier": "F25", "position": [1, 8], "step": 293, "ordinal_position": 294}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 294, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_019.json"}} {"qa_id": "7c741e126fa248499ef86210699f44c9", "image_id": "L3-MazeLoop-test_11x11_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R22, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 138th position in this traversal?", "start_object_id": "R22", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [138], "ordinal_strings": ["138th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "K76", "traversal_path": [{"identifier": "R22", "position": [7, 6], "step": 0, "ordinal_position": 1}, {"identifier": "S40", "position": [7, 5], "step": 1, "ordinal_position": 2}, {"identifier": "E28", "position": [8, 5], "step": 2, "ordinal_position": 3}, {"identifier": "E65", "position": [9, 5], "step": 3, "ordinal_position": 4}, {"identifier": "S96", "position": [9, 6], "step": 4, "ordinal_position": 5}, {"identifier": "S50", "position": [9, 7], "step": 5, "ordinal_position": 6}, {"identifier": "T08", "position": [9, 8], "step": 6, "ordinal_position": 7}, {"identifier": "W19", "position": [9, 9], "step": 7, "ordinal_position": 8}, {"identifier": "K03", "position": [8, 9], "step": 8, "ordinal_position": 9}, {"identifier": "B85", "position": [7, 9], "step": 9, "ordinal_position": 10}, {"identifier": "S76", "position": [6, 9], "step": 10, "ordinal_position": 11}, {"identifier": "D74", "position": [5, 9], "step": 11, "ordinal_position": 12}, {"identifier": "P11", "position": [4, 9], "step": 12, "ordinal_position": 13}, {"identifier": "A11", "position": [3, 9], "step": 13, "ordinal_position": 14}, {"identifier": "U48", "position": [2, 9], "step": 14, "ordinal_position": 15}, {"identifier": "T19", "position": [1, 9], "step": 15, "ordinal_position": 16}, {"identifier": "F25", "position": [1, 8], "step": 16, "ordinal_position": 17}, {"identifier": "K76", "position": [1, 7], "step": 17, "ordinal_position": 18}, {"identifier": "Y33", "position": [1, 6], "step": 18, "ordinal_position": 19}, {"identifier": "D16", "position": [1, 5], "step": 19, "ordinal_position": 20}, {"identifier": "S61", "position": [2, 5], "step": 20, "ordinal_position": 21}, {"identifier": "U23", "position": [3, 5], "step": 21, "ordinal_position": 22}, {"identifier": "V30", "position": [3, 6], "step": 22, "ordinal_position": 23}, {"identifier": "H84", "position": [3, 7], "step": 23, "ordinal_position": 24}, {"identifier": "A28", "position": [2, 7], "step": 24, "ordinal_position": 25}, {"identifier": "K76", "position": [1, 7], "step": 25, "ordinal_position": 26}, {"identifier": "Y33", "position": [1, 6], "step": 26, "ordinal_position": 27}, {"identifier": "D16", "position": [1, 5], "step": 27, "ordinal_position": 28}, {"identifier": "S61", "position": [2, 5], "step": 28, "ordinal_position": 29}, {"identifier": "U23", "position": [3, 5], "step": 29, "ordinal_position": 30}, {"identifier": "V30", "position": [3, 6], "step": 30, "ordinal_position": 31}, {"identifier": "H84", "position": [3, 7], "step": 31, "ordinal_position": 32}, {"identifier": "A28", "position": [2, 7], "step": 32, "ordinal_position": 33}, {"identifier": "K76", "position": [1, 7], "step": 33, "ordinal_position": 34}, {"identifier": "Y33", "position": [1, 6], "step": 34, "ordinal_position": 35}, {"identifier": "D16", "position": [1, 5], "step": 35, "ordinal_position": 36}, {"identifier": "S61", "position": [2, 5], "step": 36, "ordinal_position": 37}, {"identifier": "U23", "position": [3, 5], "step": 37, "ordinal_position": 38}, {"identifier": "V30", "position": [3, 6], "step": 38, "ordinal_position": 39}, {"identifier": "H84", "position": [3, 7], "step": 39, "ordinal_position": 40}, {"identifier": "A28", "position": [2, 7], "step": 40, "ordinal_position": 41}, {"identifier": "K76", "position": [1, 7], "step": 41, "ordinal_position": 42}, {"identifier": "Y33", "position": [1, 6], "step": 42, "ordinal_position": 43}, {"identifier": "D16", "position": [1, 5], "step": 43, "ordinal_position": 44}, {"identifier": "S61", "position": [2, 5], "step": 44, "ordinal_position": 45}, {"identifier": "U23", "position": [3, 5], "step": 45, "ordinal_position": 46}, {"identifier": "V30", "position": [3, 6], "step": 46, "ordinal_position": 47}, {"identifier": "H84", "position": [3, 7], "step": 47, "ordinal_position": 48}, {"identifier": "A28", "position": [2, 7], "step": 48, "ordinal_position": 49}, {"identifier": "K76", "position": [1, 7], "step": 49, "ordinal_position": 50}, {"identifier": "Y33", "position": [1, 6], "step": 50, "ordinal_position": 51}, {"identifier": "D16", "position": [1, 5], "step": 51, "ordinal_position": 52}, {"identifier": "S61", "position": [2, 5], "step": 52, "ordinal_position": 53}, {"identifier": "U23", "position": [3, 5], "step": 53, "ordinal_position": 54}, {"identifier": "V30", "position": [3, 6], "step": 54, "ordinal_position": 55}, {"identifier": "H84", "position": [3, 7], "step": 55, "ordinal_position": 56}, {"identifier": "A28", "position": [2, 7], "step": 56, "ordinal_position": 57}, {"identifier": "K76", "position": [1, 7], "step": 57, "ordinal_position": 58}, {"identifier": "Y33", "position": [1, 6], "step": 58, "ordinal_position": 59}, {"identifier": "D16", "position": [1, 5], "step": 59, "ordinal_position": 60}, {"identifier": "S61", "position": [2, 5], "step": 60, "ordinal_position": 61}, {"identifier": "U23", "position": [3, 5], "step": 61, "ordinal_position": 62}, {"identifier": "V30", "position": [3, 6], "step": 62, "ordinal_position": 63}, {"identifier": "H84", "position": [3, 7], "step": 63, "ordinal_position": 64}, {"identifier": "A28", "position": [2, 7], "step": 64, "ordinal_position": 65}, {"identifier": "K76", "position": [1, 7], "step": 65, "ordinal_position": 66}, {"identifier": "Y33", "position": [1, 6], "step": 66, "ordinal_position": 67}, {"identifier": "D16", "position": [1, 5], "step": 67, "ordinal_position": 68}, {"identifier": "S61", "position": [2, 5], "step": 68, "ordinal_position": 69}, {"identifier": "U23", "position": [3, 5], "step": 69, "ordinal_position": 70}, {"identifier": "V30", "position": [3, 6], "step": 70, "ordinal_position": 71}, {"identifier": "H84", "position": [3, 7], "step": 71, "ordinal_position": 72}, {"identifier": "A28", "position": [2, 7], "step": 72, "ordinal_position": 73}, {"identifier": "K76", "position": [1, 7], "step": 73, "ordinal_position": 74}, {"identifier": "Y33", "position": [1, 6], "step": 74, "ordinal_position": 75}, {"identifier": "D16", "position": [1, 5], "step": 75, "ordinal_position": 76}, {"identifier": "S61", "position": [2, 5], "step": 76, "ordinal_position": 77}, {"identifier": "U23", "position": [3, 5], "step": 77, "ordinal_position": 78}, {"identifier": "V30", "position": [3, 6], "step": 78, "ordinal_position": 79}, {"identifier": "H84", "position": [3, 7], "step": 79, "ordinal_position": 80}, {"identifier": "A28", "position": [2, 7], "step": 80, "ordinal_position": 81}, {"identifier": "K76", "position": [1, 7], "step": 81, "ordinal_position": 82}, {"identifier": "Y33", "position": [1, 6], "step": 82, "ordinal_position": 83}, {"identifier": "D16", "position": [1, 5], "step": 83, "ordinal_position": 84}, {"identifier": "S61", "position": [2, 5], "step": 84, "ordinal_position": 85}, {"identifier": "U23", "position": [3, 5], "step": 85, "ordinal_position": 86}, {"identifier": "V30", "position": [3, 6], "step": 86, "ordinal_position": 87}, {"identifier": "H84", "position": [3, 7], "step": 87, "ordinal_position": 88}, {"identifier": "A28", "position": [2, 7], "step": 88, "ordinal_position": 89}, {"identifier": "K76", "position": [1, 7], "step": 89, "ordinal_position": 90}, {"identifier": "Y33", "position": [1, 6], "step": 90, "ordinal_position": 91}, {"identifier": "D16", "position": [1, 5], "step": 91, "ordinal_position": 92}, {"identifier": "S61", "position": [2, 5], "step": 92, "ordinal_position": 93}, {"identifier": "U23", "position": [3, 5], "step": 93, "ordinal_position": 94}, {"identifier": "V30", "position": [3, 6], "step": 94, "ordinal_position": 95}, {"identifier": "H84", "position": [3, 7], "step": 95, "ordinal_position": 96}, {"identifier": "A28", "position": [2, 7], "step": 96, "ordinal_position": 97}, {"identifier": "K76", "position": [1, 7], "step": 97, "ordinal_position": 98}, {"identifier": "Y33", "position": [1, 6], "step": 98, "ordinal_position": 99}, {"identifier": "D16", "position": [1, 5], "step": 99, "ordinal_position": 100}, {"identifier": "S61", "position": [2, 5], "step": 100, "ordinal_position": 101}, {"identifier": "U23", "position": [3, 5], "step": 101, "ordinal_position": 102}, {"identifier": "V30", "position": [3, 6], "step": 102, "ordinal_position": 103}, {"identifier": "H84", "position": [3, 7], "step": 103, "ordinal_position": 104}, {"identifier": "A28", "position": [2, 7], "step": 104, "ordinal_position": 105}, {"identifier": "K76", "position": [1, 7], "step": 105, "ordinal_position": 106}, {"identifier": "Y33", "position": [1, 6], "step": 106, "ordinal_position": 107}, {"identifier": "D16", "position": [1, 5], "step": 107, "ordinal_position": 108}, {"identifier": "S61", "position": [2, 5], "step": 108, "ordinal_position": 109}, {"identifier": "U23", "position": [3, 5], "step": 109, "ordinal_position": 110}, {"identifier": "V30", "position": [3, 6], "step": 110, "ordinal_position": 111}, {"identifier": "H84", "position": [3, 7], "step": 111, "ordinal_position": 112}, {"identifier": "A28", "position": [2, 7], "step": 112, "ordinal_position": 113}, {"identifier": "K76", "position": [1, 7], "step": 113, "ordinal_position": 114}, {"identifier": "Y33", "position": [1, 6], "step": 114, "ordinal_position": 115}, {"identifier": "D16", "position": [1, 5], "step": 115, "ordinal_position": 116}, {"identifier": "S61", "position": [2, 5], "step": 116, "ordinal_position": 117}, {"identifier": "U23", "position": [3, 5], "step": 117, "ordinal_position": 118}, {"identifier": "V30", "position": [3, 6], "step": 118, "ordinal_position": 119}, {"identifier": "H84", "position": [3, 7], "step": 119, "ordinal_position": 120}, {"identifier": "A28", "position": [2, 7], "step": 120, "ordinal_position": 121}, {"identifier": "K76", "position": [1, 7], "step": 121, "ordinal_position": 122}, {"identifier": "Y33", "position": [1, 6], "step": 122, "ordinal_position": 123}, {"identifier": "D16", "position": [1, 5], "step": 123, "ordinal_position": 124}, {"identifier": "S61", "position": [2, 5], "step": 124, "ordinal_position": 125}, {"identifier": "U23", "position": [3, 5], "step": 125, "ordinal_position": 126}, {"identifier": "V30", "position": [3, 6], "step": 126, "ordinal_position": 127}, {"identifier": "H84", "position": [3, 7], "step": 127, "ordinal_position": 128}, {"identifier": "A28", "position": [2, 7], "step": 128, "ordinal_position": 129}, {"identifier": "K76", "position": [1, 7], "step": 129, "ordinal_position": 130}, {"identifier": "Y33", "position": [1, 6], "step": 130, "ordinal_position": 131}, {"identifier": "D16", "position": [1, 5], "step": 131, "ordinal_position": 132}, {"identifier": "S61", "position": [2, 5], "step": 132, "ordinal_position": 133}, {"identifier": "U23", "position": [3, 5], "step": 133, "ordinal_position": 134}, {"identifier": "V30", "position": [3, 6], "step": 134, "ordinal_position": 135}, {"identifier": "H84", "position": [3, 7], "step": 135, "ordinal_position": 136}, {"identifier": "A28", "position": [2, 7], "step": 136, "ordinal_position": 137}, {"identifier": "K76", "position": [1, 7], "step": 137, "ordinal_position": 138}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 138, "direction": "up", "turn_preference": "right", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_019.json"}} {"qa_id": "68b27ff70bd947978ba3728ce116a11f", "image_id": "L3-MazeLoop-test_11x11_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I56, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 172nd position in this traversal?", "start_object_id": "I56", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [172], "ordinal_strings": ["172nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "V30", "traversal_path": [{"identifier": "I56", "position": [5, 5], "step": 0, "ordinal_position": 1}, {"identifier": "F67", "position": [5, 6], "step": 1, "ordinal_position": 2}, {"identifier": "M33", "position": [5, 7], "step": 2, "ordinal_position": 3}, {"identifier": "S88", "position": [6, 7], "step": 3, "ordinal_position": 4}, {"identifier": "Q52", "position": [7, 7], "step": 4, "ordinal_position": 5}, {"identifier": "R22", "position": [7, 6], "step": 5, "ordinal_position": 6}, {"identifier": "S40", "position": [7, 5], "step": 6, "ordinal_position": 7}, {"identifier": "E28", "position": [8, 5], "step": 7, "ordinal_position": 8}, {"identifier": "E65", "position": [9, 5], "step": 8, "ordinal_position": 9}, {"identifier": "F51", "position": [9, 4], "step": 9, "ordinal_position": 10}, {"identifier": "M62", "position": [9, 3], "step": 10, "ordinal_position": 11}, {"identifier": "T65", "position": [9, 2], "step": 11, "ordinal_position": 12}, {"identifier": "I49", "position": [9, 1], "step": 12, "ordinal_position": 13}, {"identifier": "E14", "position": [8, 1], "step": 13, "ordinal_position": 14}, {"identifier": "M00", "position": [7, 1], "step": 14, "ordinal_position": 15}, {"identifier": "Z65", "position": [6, 1], "step": 15, "ordinal_position": 16}, {"identifier": "W41", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "H51", "position": [4, 1], "step": 17, "ordinal_position": 18}, {"identifier": "C72", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "E90", "position": [2, 1], "step": 19, "ordinal_position": 20}, {"identifier": "P42", "position": [1, 1], "step": 20, "ordinal_position": 21}, {"identifier": "R96", "position": [1, 2], "step": 21, "ordinal_position": 22}, {"identifier": "M74", "position": [1, 3], "step": 22, "ordinal_position": 23}, {"identifier": "T66", "position": [2, 3], "step": 23, "ordinal_position": 24}, {"identifier": "R54", "position": [3, 3], "step": 24, "ordinal_position": 25}, {"identifier": "B06", "position": [3, 4], "step": 25, "ordinal_position": 26}, {"identifier": "U23", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "V30", "position": [3, 6], "step": 27, "ordinal_position": 28}, {"identifier": "H84", "position": [3, 7], "step": 28, "ordinal_position": 29}, {"identifier": "A28", 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42}, {"identifier": "S50", "position": [9, 7], "step": 42, "ordinal_position": 43}, {"identifier": "S96", "position": [9, 6], "step": 43, "ordinal_position": 44}, {"identifier": "E65", "position": [9, 5], "step": 44, "ordinal_position": 45}, {"identifier": "F51", "position": [9, 4], "step": 45, "ordinal_position": 46}, {"identifier": "M62", "position": [9, 3], "step": 46, "ordinal_position": 47}, {"identifier": "T65", "position": [9, 2], "step": 47, "ordinal_position": 48}, {"identifier": "I49", "position": [9, 1], "step": 48, "ordinal_position": 49}, {"identifier": "E14", "position": [8, 1], "step": 49, "ordinal_position": 50}, {"identifier": "M00", "position": [7, 1], "step": 50, "ordinal_position": 51}, {"identifier": "Z65", "position": [6, 1], "step": 51, "ordinal_position": 52}, {"identifier": "W41", "position": [5, 1], "step": 52, "ordinal_position": 53}, {"identifier": "H51", "position": [4, 1], "step": 53, "ordinal_position": 54}, {"identifier": "C72", "position": [3, 1], "step": 54, "ordinal_position": 55}, {"identifier": "E90", "position": [2, 1], "step": 55, "ordinal_position": 56}, {"identifier": "P42", "position": [1, 1], "step": 56, "ordinal_position": 57}, {"identifier": "R96", "position": [1, 2], "step": 57, "ordinal_position": 58}, {"identifier": "M74", "position": [1, 3], "step": 58, "ordinal_position": 59}, {"identifier": "T66", "position": [2, 3], "step": 59, "ordinal_position": 60}, {"identifier": "R54", "position": [3, 3], "step": 60, "ordinal_position": 61}, {"identifier": "B06", "position": [3, 4], "step": 61, "ordinal_position": 62}, {"identifier": "U23", "position": [3, 5], "step": 62, "ordinal_position": 63}, {"identifier": "V30", "position": [3, 6], "step": 63, "ordinal_position": 64}, {"identifier": "H84", "position": [3, 7], "step": 64, "ordinal_position": 65}, {"identifier": "A28", "position": [2, 7], "step": 65, "ordinal_position": 66}, {"identifier": "K76", "position": [1, 7], "step": 66, "ordinal_position": 67}, {"identifier": "F25", "position": [1, 8], "step": 67, "ordinal_position": 68}, {"identifier": "T19", "position": [1, 9], "step": 68, "ordinal_position": 69}, {"identifier": "U48", "position": [2, 9], "step": 69, "ordinal_position": 70}, {"identifier": "A11", "position": [3, 9], "step": 70, "ordinal_position": 71}, {"identifier": "P11", "position": [4, 9], "step": 71, "ordinal_position": 72}, {"identifier": "D74", "position": [5, 9], "step": 72, "ordinal_position": 73}, {"identifier": "S76", "position": [6, 9], "step": 73, "ordinal_position": 74}, {"identifier": "B85", "position": [7, 9], "step": 74, "ordinal_position": 75}, {"identifier": "K03", "position": [8, 9], "step": 75, "ordinal_position": 76}, {"identifier": "W19", "position": [9, 9], "step": 76, "ordinal_position": 77}, {"identifier": "T08", "position": [9, 8], "step": 77, "ordinal_position": 78}, {"identifier": "S50", "position": [9, 7], "step": 78, "ordinal_position": 79}, {"identifier": "S96", "position": [9, 6], "step": 79, "ordinal_position": 80}, {"identifier": "E65", "position": [9, 5], "step": 80, "ordinal_position": 81}, {"identifier": "F51", "position": [9, 4], "step": 81, "ordinal_position": 82}, {"identifier": "M62", "position": [9, 3], "step": 82, "ordinal_position": 83}, {"identifier": "T65", "position": [9, 2], "step": 83, "ordinal_position": 84}, {"identifier": "I49", "position": [9, 1], "step": 84, "ordinal_position": 85}, {"identifier": "E14", "position": [8, 1], "step": 85, "ordinal_position": 86}, {"identifier": "M00", "position": [7, 1], "step": 86, "ordinal_position": 87}, {"identifier": "Z65", "position": [6, 1], "step": 87, "ordinal_position": 88}, {"identifier": "W41", "position": [5, 1], "step": 88, "ordinal_position": 89}, {"identifier": "H51", "position": [4, 1], "step": 89, "ordinal_position": 90}, {"identifier": "C72", "position": [3, 1], "step": 90, "ordinal_position": 91}, {"identifier": "E90", "position": [2, 1], "step": 91, "ordinal_position": 92}, {"identifier": "P42", "position": [1, 1], "step": 92, "ordinal_position": 93}, {"identifier": "R96", "position": [1, 2], "step": 93, "ordinal_position": 94}, {"identifier": "M74", "position": [1, 3], "step": 94, "ordinal_position": 95}, {"identifier": "T66", "position": [2, 3], "step": 95, "ordinal_position": 96}, {"identifier": "R54", "position": [3, 3], "step": 96, "ordinal_position": 97}, {"identifier": "B06", "position": [3, 4], "step": 97, "ordinal_position": 98}, {"identifier": "U23", "position": [3, 5], "step": 98, "ordinal_position": 99}, {"identifier": "V30", "position": [3, 6], "step": 99, "ordinal_position": 100}, {"identifier": "H84", "position": [3, 7], "step": 100, "ordinal_position": 101}, {"identifier": "A28", "position": [2, 7], "step": 101, "ordinal_position": 102}, {"identifier": "K76", "position": [1, 7], "step": 102, "ordinal_position": 103}, {"identifier": "F25", "position": [1, 8], "step": 103, "ordinal_position": 104}, {"identifier": "T19", "position": [1, 9], "step": 104, "ordinal_position": 105}, {"identifier": "U48", "position": [2, 9], "step": 105, "ordinal_position": 106}, {"identifier": "A11", "position": [3, 9], "step": 106, "ordinal_position": 107}, {"identifier": "P11", "position": [4, 9], "step": 107, "ordinal_position": 108}, {"identifier": "D74", "position": [5, 9], "step": 108, "ordinal_position": 109}, {"identifier": "S76", "position": [6, 9], "step": 109, "ordinal_position": 110}, {"identifier": "B85", "position": [7, 9], "step": 110, "ordinal_position": 111}, {"identifier": "K03", "position": [8, 9], "step": 111, "ordinal_position": 112}, {"identifier": "W19", "position": [9, 9], "step": 112, "ordinal_position": 113}, {"identifier": "T08", "position": [9, 8], "step": 113, "ordinal_position": 114}, {"identifier": "S50", "position": [9, 7], "step": 114, "ordinal_position": 115}, {"identifier": "S96", "position": [9, 6], "step": 115, "ordinal_position": 116}, {"identifier": "E65", "position": [9, 5], "step": 116, "ordinal_position": 117}, {"identifier": "F51", "position": [9, 4], "step": 117, "ordinal_position": 118}, {"identifier": "M62", "position": [9, 3], "step": 118, "ordinal_position": 119}, {"identifier": "T65", "position": [9, 2], "step": 119, "ordinal_position": 120}, {"identifier": "I49", "position": [9, 1], "step": 120, "ordinal_position": 121}, {"identifier": "E14", "position": [8, 1], "step": 121, "ordinal_position": 122}, {"identifier": "M00", "position": [7, 1], "step": 122, "ordinal_position": 123}, {"identifier": "Z65", "position": [6, 1], "step": 123, "ordinal_position": 124}, {"identifier": "W41", "position": [5, 1], "step": 124, "ordinal_position": 125}, {"identifier": "H51", "position": [4, 1], "step": 125, "ordinal_position": 126}, {"identifier": "C72", "position": [3, 1], "step": 126, "ordinal_position": 127}, {"identifier": "E90", "position": [2, 1], "step": 127, "ordinal_position": 128}, {"identifier": "P42", "position": [1, 1], "step": 128, "ordinal_position": 129}, {"identifier": "R96", "position": [1, 2], "step": 129, "ordinal_position": 130}, {"identifier": "M74", "position": [1, 3], "step": 130, "ordinal_position": 131}, {"identifier": "T66", "position": [2, 3], "step": 131, "ordinal_position": 132}, {"identifier": "R54", "position": [3, 3], "step": 132, "ordinal_position": 133}, {"identifier": "B06", "position": [3, 4], "step": 133, "ordinal_position": 134}, {"identifier": "U23", "position": [3, 5], "step": 134, "ordinal_position": 135}, {"identifier": "V30", "position": [3, 6], "step": 135, "ordinal_position": 136}, {"identifier": "H84", "position": [3, 7], "step": 136, "ordinal_position": 137}, {"identifier": "A28", "position": [2, 7], "step": 137, "ordinal_position": 138}, {"identifier": "K76", "position": [1, 7], "step": 138, "ordinal_position": 139}, {"identifier": "F25", "position": [1, 8], "step": 139, "ordinal_position": 140}, {"identifier": "T19", "position": [1, 9], "step": 140, "ordinal_position": 141}, {"identifier": "U48", "position": [2, 9], "step": 141, "ordinal_position": 142}, {"identifier": "A11", "position": [3, 9], "step": 142, "ordinal_position": 143}, {"identifier": "P11", "position": [4, 9], "step": 143, "ordinal_position": 144}, {"identifier": "D74", "position": [5, 9], "step": 144, "ordinal_position": 145}, {"identifier": "S76", "position": [6, 9], "step": 145, "ordinal_position": 146}, {"identifier": "B85", "position": [7, 9], "step": 146, "ordinal_position": 147}, {"identifier": "K03", "position": [8, 9], "step": 147, "ordinal_position": 148}, {"identifier": "W19", "position": [9, 9], "step": 148, "ordinal_position": 149}, {"identifier": "T08", "position": [9, 8], "step": 149, "ordinal_position": 150}, {"identifier": "S50", "position": [9, 7], "step": 150, "ordinal_position": 151}, {"identifier": "S96", "position": [9, 6], "step": 151, "ordinal_position": 152}, {"identifier": "E65", "position": [9, 5], "step": 152, "ordinal_position": 153}, {"identifier": "F51", "position": [9, 4], "step": 153, "ordinal_position": 154}, {"identifier": "M62", "position": [9, 3], "step": 154, "ordinal_position": 155}, {"identifier": "T65", "position": [9, 2], "step": 155, "ordinal_position": 156}, {"identifier": "I49", "position": [9, 1], "step": 156, "ordinal_position": 157}, {"identifier": "E14", "position": [8, 1], "step": 157, "ordinal_position": 158}, {"identifier": "M00", "position": [7, 1], "step": 158, "ordinal_position": 159}, {"identifier": "Z65", "position": [6, 1], "step": 159, "ordinal_position": 160}, {"identifier": "W41", "position": [5, 1], "step": 160, "ordinal_position": 161}, {"identifier": "H51", "position": [4, 1], "step": 161, "ordinal_position": 162}, {"identifier": "C72", "position": [3, 1], "step": 162, "ordinal_position": 163}, {"identifier": "E90", "position": [2, 1], "step": 163, "ordinal_position": 164}, {"identifier": "P42", "position": [1, 1], "step": 164, "ordinal_position": 165}, {"identifier": "R96", "position": [1, 2], "step": 165, "ordinal_position": 166}, {"identifier": "M74", "position": [1, 3], "step": 166, "ordinal_position": 167}, {"identifier": "T66", "position": [2, 3], "step": 167, "ordinal_position": 168}, {"identifier": "R54", "position": [3, 3], "step": 168, "ordinal_position": 169}, {"identifier": "B06", "position": [3, 4], "step": 169, "ordinal_position": 170}, {"identifier": "U23", "position": [3, 5], "step": 170, "ordinal_position": 171}, {"identifier": "V30", "position": [3, 6], "step": 171, "ordinal_position": 172}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 172, "direction": "down", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_019.json"}} {"qa_id": "6952c08c11014e68bc081e8000ebc219", "image_id": "L3-MazeLoop-test_11x11_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z65, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 187th position in this traversal?", "start_object_id": "Z65", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [187], "ordinal_strings": ["187th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "R96", "traversal_path": [{"identifier": "Z65", "position": [6, 1], "step": 0, "ordinal_position": 1}, {"identifier": "W41", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "H51", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "C72", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "E90", "position": [2, 1], "step": 4, "ordinal_position": 5}, {"identifier": "P42", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "R96", "position": [1, 2], "step": 6, "ordinal_position": 7}, {"identifier": "M74", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "T66", "position": [2, 3], "step": 8, "ordinal_position": 9}, {"identifier": "R54", "position": [3, 3], "step": 9, "ordinal_position": 10}, {"identifier": "B06", "position": [3, 4], "step": 10, "ordinal_position": 11}, {"identifier": "U23", "position": [3, 5], "step": 11, "ordinal_position": 12}, {"identifier": "V30", "position": [3, 6], "step": 12, "ordinal_position": 13}, {"identifier": "H84", "position": [3, 7], "step": 13, "ordinal_position": 14}, {"identifier": "A28", "position": [2, 7], "step": 14, "ordinal_position": 15}, {"identifier": "K76", "position": [1, 7], "step": 15, "ordinal_position": 16}, {"identifier": "F25", "position": [1, 8], "step": 16, "ordinal_position": 17}, {"identifier": "T19", "position": [1, 9], "step": 17, "ordinal_position": 18}, {"identifier": "U48", "position": [2, 9], "step": 18, "ordinal_position": 19}, {"identifier": "A11", "position": [3, 9], "step": 19, "ordinal_position": 20}, {"identifier": "P11", "position": [4, 9], "step": 20, "ordinal_position": 21}, {"identifier": "D74", "position": [5, 9], "step": 21, "ordinal_position": 22}, {"identifier": "S76", "position": [6, 9], "step": 22, "ordinal_position": 23}, {"identifier": "B85", "position": [7, 9], "step": 23, "ordinal_position": 24}, {"identifier": "K03", "position": [8, 9], "step": 24, "ordinal_position": 25}, {"identifier": "W19", "position": [9, 9], "step": 25, "ordinal_position": 26}, {"identifier": "T08", "position": [9, 8], "step": 26, "ordinal_position": 27}, {"identifier": "S50", "position": [9, 7], "step": 27, "ordinal_position": 28}, {"identifier": "S96", "position": [9, 6], "step": 28, "ordinal_position": 29}, {"identifier": "E65", "position": [9, 5], "step": 29, "ordinal_position": 30}, {"identifier": "F51", "position": [9, 4], "step": 30, "ordinal_position": 31}, {"identifier": "M62", "position": [9, 3], "step": 31, "ordinal_position": 32}, {"identifier": "T65", "position": [9, 2], "step": 32, "ordinal_position": 33}, {"identifier": "I49", "position": [9, 1], "step": 33, "ordinal_position": 34}, {"identifier": "E14", "position": [8, 1], "step": 34, "ordinal_position": 35}, {"identifier": "M00", "position": [7, 1], "step": 35, "ordinal_position": 36}, {"identifier": "Z65", "position": [6, 1], "step": 36, "ordinal_position": 37}, {"identifier": "W41", "position": [5, 1], "step": 37, "ordinal_position": 38}, {"identifier": "H51", "position": [4, 1], "step": 38, "ordinal_position": 39}, {"identifier": "C72", "position": [3, 1], "step": 39, "ordinal_position": 40}, {"identifier": "E90", "position": [2, 1], "step": 40, "ordinal_position": 41}, {"identifier": "P42", "position": [1, 1], "step": 41, "ordinal_position": 42}, {"identifier": "R96", "position": [1, 2], "step": 42, "ordinal_position": 43}, {"identifier": "M74", "position": [1, 3], "step": 43, "ordinal_position": 44}, {"identifier": "T66", "position": [2, 3], "step": 44, "ordinal_position": 45}, {"identifier": "R54", "position": [3, 3], "step": 45, "ordinal_position": 46}, {"identifier": "B06", "position": [3, 4], "step": 46, "ordinal_position": 47}, {"identifier": "U23", "position": [3, 5], "step": 47, "ordinal_position": 48}, {"identifier": "V30", "position": [3, 6], "step": 48, "ordinal_position": 49}, {"identifier": "H84", "position": [3, 7], "step": 49, "ordinal_position": 50}, {"identifier": "A28", "position": [2, 7], "step": 50, "ordinal_position": 51}, {"identifier": "K76", "position": [1, 7], "step": 51, "ordinal_position": 52}, {"identifier": "F25", "position": [1, 8], "step": 52, "ordinal_position": 53}, {"identifier": "T19", "position": [1, 9], "step": 53, "ordinal_position": 54}, {"identifier": "U48", "position": [2, 9], "step": 54, "ordinal_position": 55}, {"identifier": "A11", "position": [3, 9], "step": 55, "ordinal_position": 56}, {"identifier": "P11", "position": [4, 9], "step": 56, "ordinal_position": 57}, {"identifier": "D74", "position": [5, 9], "step": 57, "ordinal_position": 58}, {"identifier": "S76", "position": [6, 9], "step": 58, "ordinal_position": 59}, {"identifier": "B85", "position": [7, 9], "step": 59, "ordinal_position": 60}, {"identifier": "K03", "position": [8, 9], "step": 60, "ordinal_position": 61}, {"identifier": "W19", "position": [9, 9], "step": 61, "ordinal_position": 62}, {"identifier": "T08", "position": [9, 8], "step": 62, "ordinal_position": 63}, {"identifier": "S50", "position": [9, 7], "step": 63, "ordinal_position": 64}, {"identifier": "S96", "position": [9, 6], "step": 64, "ordinal_position": 65}, {"identifier": "E65", "position": [9, 5], "step": 65, "ordinal_position": 66}, {"identifier": "F51", "position": [9, 4], "step": 66, "ordinal_position": 67}, {"identifier": "M62", "position": [9, 3], "step": 67, "ordinal_position": 68}, {"identifier": "T65", "position": [9, 2], "step": 68, "ordinal_position": 69}, {"identifier": "I49", "position": [9, 1], "step": 69, "ordinal_position": 70}, {"identifier": "E14", "position": [8, 1], "step": 70, "ordinal_position": 71}, {"identifier": "M00", "position": [7, 1], "step": 71, "ordinal_position": 72}, {"identifier": "Z65", "position": [6, 1], "step": 72, "ordinal_position": 73}, {"identifier": "W41", "position": [5, 1], "step": 73, "ordinal_position": 74}, {"identifier": "H51", "position": [4, 1], "step": 74, "ordinal_position": 75}, {"identifier": "C72", "position": [3, 1], "step": 75, "ordinal_position": 76}, {"identifier": "E90", "position": [2, 1], "step": 76, "ordinal_position": 77}, {"identifier": "P42", "position": [1, 1], "step": 77, "ordinal_position": 78}, {"identifier": "R96", "position": [1, 2], "step": 78, "ordinal_position": 79}, {"identifier": "M74", "position": [1, 3], "step": 79, "ordinal_position": 80}, {"identifier": "T66", "position": [2, 3], "step": 80, "ordinal_position": 81}, {"identifier": "R54", "position": [3, 3], "step": 81, "ordinal_position": 82}, {"identifier": "B06", "position": [3, 4], "step": 82, "ordinal_position": 83}, {"identifier": "U23", "position": [3, 5], "step": 83, "ordinal_position": 84}, {"identifier": "V30", "position": [3, 6], "step": 84, "ordinal_position": 85}, {"identifier": "H84", "position": [3, 7], "step": 85, "ordinal_position": 86}, {"identifier": "A28", "position": [2, 7], "step": 86, "ordinal_position": 87}, {"identifier": "K76", "position": [1, 7], "step": 87, "ordinal_position": 88}, {"identifier": "F25", "position": [1, 8], "step": 88, "ordinal_position": 89}, {"identifier": "T19", "position": [1, 9], "step": 89, "ordinal_position": 90}, {"identifier": "U48", "position": [2, 9], "step": 90, "ordinal_position": 91}, {"identifier": "A11", "position": [3, 9], "step": 91, "ordinal_position": 92}, {"identifier": "P11", "position": [4, 9], "step": 92, "ordinal_position": 93}, {"identifier": "D74", "position": [5, 9], "step": 93, "ordinal_position": 94}, {"identifier": "S76", "position": [6, 9], "step": 94, "ordinal_position": 95}, {"identifier": "B85", "position": [7, 9], "step": 95, "ordinal_position": 96}, {"identifier": "K03", "position": [8, 9], "step": 96, "ordinal_position": 97}, {"identifier": "W19", "position": [9, 9], "step": 97, "ordinal_position": 98}, {"identifier": "T08", "position": [9, 8], "step": 98, "ordinal_position": 99}, {"identifier": "S50", "position": [9, 7], "step": 99, "ordinal_position": 100}, {"identifier": "S96", "position": [9, 6], "step": 100, "ordinal_position": 101}, {"identifier": "E65", "position": [9, 5], "step": 101, "ordinal_position": 102}, {"identifier": "F51", "position": [9, 4], "step": 102, "ordinal_position": 103}, {"identifier": "M62", "position": [9, 3], "step": 103, "ordinal_position": 104}, {"identifier": "T65", "position": [9, 2], "step": 104, "ordinal_position": 105}, {"identifier": "I49", "position": [9, 1], "step": 105, "ordinal_position": 106}, {"identifier": "E14", "position": [8, 1], "step": 106, "ordinal_position": 107}, {"identifier": "M00", "position": [7, 1], "step": 107, "ordinal_position": 108}, {"identifier": "Z65", "position": [6, 1], "step": 108, "ordinal_position": 109}, {"identifier": "W41", "position": [5, 1], "step": 109, "ordinal_position": 110}, {"identifier": "H51", "position": [4, 1], "step": 110, "ordinal_position": 111}, {"identifier": "C72", "position": [3, 1], "step": 111, "ordinal_position": 112}, {"identifier": "E90", "position": [2, 1], "step": 112, "ordinal_position": 113}, {"identifier": "P42", "position": [1, 1], "step": 113, "ordinal_position": 114}, {"identifier": "R96", "position": [1, 2], "step": 114, "ordinal_position": 115}, {"identifier": "M74", "position": [1, 3], "step": 115, "ordinal_position": 116}, {"identifier": "T66", "position": [2, 3], "step": 116, "ordinal_position": 117}, {"identifier": "R54", "position": [3, 3], "step": 117, "ordinal_position": 118}, {"identifier": "B06", "position": [3, 4], "step": 118, "ordinal_position": 119}, {"identifier": "U23", "position": [3, 5], "step": 119, "ordinal_position": 120}, {"identifier": "V30", "position": [3, 6], "step": 120, "ordinal_position": 121}, {"identifier": "H84", "position": [3, 7], "step": 121, "ordinal_position": 122}, {"identifier": "A28", "position": [2, 7], "step": 122, "ordinal_position": 123}, {"identifier": "K76", "position": [1, 7], "step": 123, "ordinal_position": 124}, {"identifier": "F25", "position": [1, 8], "step": 124, "ordinal_position": 125}, {"identifier": "T19", "position": [1, 9], "step": 125, "ordinal_position": 126}, {"identifier": "U48", "position": [2, 9], "step": 126, "ordinal_position": 127}, {"identifier": "A11", "position": [3, 9], "step": 127, "ordinal_position": 128}, {"identifier": "P11", "position": [4, 9], "step": 128, "ordinal_position": 129}, {"identifier": "D74", "position": [5, 9], "step": 129, "ordinal_position": 130}, {"identifier": "S76", "position": [6, 9], "step": 130, "ordinal_position": 131}, {"identifier": "B85", "position": [7, 9], "step": 131, "ordinal_position": 132}, {"identifier": "K03", "position": [8, 9], "step": 132, "ordinal_position": 133}, {"identifier": "W19", "position": [9, 9], "step": 133, "ordinal_position": 134}, {"identifier": "T08", "position": [9, 8], "step": 134, "ordinal_position": 135}, {"identifier": "S50", "position": [9, 7], "step": 135, "ordinal_position": 136}, {"identifier": "S96", "position": [9, 6], "step": 136, "ordinal_position": 137}, {"identifier": "E65", "position": [9, 5], "step": 137, "ordinal_position": 138}, {"identifier": "F51", "position": [9, 4], "step": 138, "ordinal_position": 139}, {"identifier": "M62", "position": [9, 3], "step": 139, "ordinal_position": 140}, {"identifier": "T65", "position": [9, 2], "step": 140, "ordinal_position": 141}, {"identifier": "I49", "position": [9, 1], "step": 141, "ordinal_position": 142}, {"identifier": "E14", "position": [8, 1], "step": 142, "ordinal_position": 143}, {"identifier": "M00", "position": [7, 1], "step": 143, "ordinal_position": 144}, {"identifier": "Z65", "position": [6, 1], "step": 144, "ordinal_position": 145}, {"identifier": "W41", "position": [5, 1], "step": 145, "ordinal_position": 146}, {"identifier": "H51", "position": [4, 1], "step": 146, "ordinal_position": 147}, {"identifier": "C72", "position": [3, 1], "step": 147, "ordinal_position": 148}, {"identifier": "E90", "position": [2, 1], "step": 148, "ordinal_position": 149}, {"identifier": "P42", "position": [1, 1], "step": 149, "ordinal_position": 150}, {"identifier": "R96", "position": [1, 2], "step": 150, "ordinal_position": 151}, {"identifier": "M74", "position": [1, 3], "step": 151, "ordinal_position": 152}, {"identifier": "T66", "position": [2, 3], "step": 152, "ordinal_position": 153}, {"identifier": "R54", "position": [3, 3], "step": 153, "ordinal_position": 154}, {"identifier": "B06", "position": [3, 4], "step": 154, "ordinal_position": 155}, {"identifier": "U23", "position": [3, 5], "step": 155, "ordinal_position": 156}, {"identifier": "V30", "position": [3, 6], "step": 156, "ordinal_position": 157}, {"identifier": "H84", "position": [3, 7], "step": 157, "ordinal_position": 158}, {"identifier": "A28", "position": [2, 7], "step": 158, "ordinal_position": 159}, {"identifier": "K76", "position": [1, 7], "step": 159, "ordinal_position": 160}, {"identifier": "F25", "position": [1, 8], "step": 160, "ordinal_position": 161}, {"identifier": "T19", "position": [1, 9], "step": 161, "ordinal_position": 162}, {"identifier": "U48", "position": [2, 9], "step": 162, "ordinal_position": 163}, {"identifier": "A11", "position": [3, 9], "step": 163, "ordinal_position": 164}, {"identifier": "P11", "position": [4, 9], "step": 164, "ordinal_position": 165}, {"identifier": "D74", "position": [5, 9], "step": 165, "ordinal_position": 166}, {"identifier": "S76", "position": [6, 9], "step": 166, "ordinal_position": 167}, {"identifier": "B85", "position": [7, 9], "step": 167, "ordinal_position": 168}, {"identifier": "K03", "position": [8, 9], "step": 168, "ordinal_position": 169}, {"identifier": "W19", "position": [9, 9], "step": 169, "ordinal_position": 170}, {"identifier": "T08", "position": [9, 8], "step": 170, "ordinal_position": 171}, {"identifier": "S50", "position": [9, 7], "step": 171, "ordinal_position": 172}, {"identifier": "S96", "position": [9, 6], "step": 172, "ordinal_position": 173}, {"identifier": "E65", "position": [9, 5], "step": 173, "ordinal_position": 174}, {"identifier": "F51", "position": [9, 4], "step": 174, "ordinal_position": 175}, {"identifier": "M62", "position": [9, 3], "step": 175, "ordinal_position": 176}, {"identifier": "T65", "position": [9, 2], "step": 176, "ordinal_position": 177}, {"identifier": "I49", "position": [9, 1], "step": 177, "ordinal_position": 178}, {"identifier": "E14", "position": [8, 1], "step": 178, "ordinal_position": 179}, {"identifier": "M00", "position": [7, 1], "step": 179, "ordinal_position": 180}, {"identifier": "Z65", "position": [6, 1], "step": 180, "ordinal_position": 181}, {"identifier": "W41", "position": [5, 1], "step": 181, "ordinal_position": 182}, {"identifier": "H51", "position": [4, 1], "step": 182, "ordinal_position": 183}, {"identifier": "C72", "position": [3, 1], "step": 183, "ordinal_position": 184}, {"identifier": "E90", "position": [2, 1], "step": 184, "ordinal_position": 185}, {"identifier": "P42", "position": [1, 1], "step": 185, "ordinal_position": 186}, {"identifier": "R96", "position": [1, 2], "step": 186, "ordinal_position": 187}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 187, "direction": "left", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_019.json"}} {"qa_id": "2b143761f1274c4eabd9b76df5fda2ec", "image_id": "L3-MazeLoop-test_11x11_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M62, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 201st position in this traversal?", "start_object_id": "M62", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [201], "ordinal_strings": ["201st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "answer": "K76", "traversal_path": [{"identifier": "M62", "position": [9, 3], "step": 0, "ordinal_position": 1}, {"identifier": "T65", "position": [9, 2], "step": 1, "ordinal_position": 2}, {"identifier": "I49", "position": [9, 1], "step": 2, "ordinal_position": 3}, {"identifier": "E14", "position": [8, 1], "step": 3, "ordinal_position": 4}, {"identifier": "M00", "position": [7, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Z65", "position": [6, 1], "step": 5, "ordinal_position": 6}, {"identifier": "W41", "position": [5, 1], "step": 6, "ordinal_position": 7}, {"identifier": "H51", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "C72", "position": [3, 1], "step": 8, "ordinal_position": 9}, {"identifier": "E90", "position": [2, 1], "step": 9, "ordinal_position": 10}, {"identifier": "P42", "position": [1, 1], "step": 10, "ordinal_position": 11}, {"identifier": "R96", "position": [1, 2], "step": 11, "ordinal_position": 12}, {"identifier": "M74", "position": [1, 3], "step": 12, "ordinal_position": 13}, {"identifier": "T66", "position": [2, 3], "step": 13, "ordinal_position": 14}, {"identifier": "R54", "position": [3, 3], "step": 14, "ordinal_position": 15}, {"identifier": "B06", "position": [3, 4], "step": 15, "ordinal_position": 16}, {"identifier": "U23", "position": [3, 5], "step": 16, "ordinal_position": 17}, {"identifier": "V30", "position": [3, 6], "step": 17, "ordinal_position": 18}, {"identifier": "H84", "position": [3, 7], "step": 18, "ordinal_position": 19}, {"identifier": "A28", "position": [2, 7], "step": 19, "ordinal_position": 20}, {"identifier": "K76", "position": [1, 7], "step": 20, "ordinal_position": 21}, {"identifier": "F25", "position": [1, 8], "step": 21, "ordinal_position": 22}, {"identifier": "T19", "position": [1, 9], "step": 22, "ordinal_position": 23}, {"identifier": "U48", "position": [2, 9], "step": 23, "ordinal_position": 24}, {"identifier": "A11", "position": [3, 9], "step": 24, "ordinal_position": 25}, {"identifier": "P11", "position": [4, 9], "step": 25, "ordinal_position": 26}, {"identifier": "D74", "position": [5, 9], "step": 26, "ordinal_position": 27}, {"identifier": "S76", "position": [6, 9], "step": 27, "ordinal_position": 28}, {"identifier": "B85", "position": [7, 9], "step": 28, "ordinal_position": 29}, {"identifier": "K03", "position": [8, 9], "step": 29, "ordinal_position": 30}, {"identifier": "W19", "position": [9, 9], "step": 30, "ordinal_position": 31}, {"identifier": "T08", "position": [9, 8], "step": 31, "ordinal_position": 32}, {"identifier": "S50", "position": [9, 7], "step": 32, "ordinal_position": 33}, {"identifier": "S96", "position": [9, 6], "step": 33, "ordinal_position": 34}, {"identifier": "E65", "position": [9, 5], "step": 34, "ordinal_position": 35}, {"identifier": "F51", "position": [9, 4], "step": 35, "ordinal_position": 36}, {"identifier": "M62", "position": [9, 3], "step": 36, "ordinal_position": 37}, {"identifier": "T65", "position": [9, 2], "step": 37, "ordinal_position": 38}, {"identifier": "I49", "position": [9, 1], "step": 38, "ordinal_position": 39}, {"identifier": "E14", "position": [8, 1], "step": 39, "ordinal_position": 40}, {"identifier": "M00", "position": [7, 1], "step": 40, "ordinal_position": 41}, {"identifier": "Z65", "position": [6, 1], "step": 41, "ordinal_position": 42}, {"identifier": "W41", "position": [5, 1], "step": 42, "ordinal_position": 43}, {"identifier": "H51", "position": [4, 1], "step": 43, "ordinal_position": 44}, {"identifier": "C72", "position": [3, 1], "step": 44, "ordinal_position": 45}, {"identifier": "E90", "position": [2, 1], "step": 45, "ordinal_position": 46}, {"identifier": "P42", "position": [1, 1], "step": 46, "ordinal_position": 47}, {"identifier": "R96", "position": [1, 2], "step": 47, "ordinal_position": 48}, {"identifier": "M74", "position": [1, 3], "step": 48, "ordinal_position": 49}, {"identifier": "T66", "position": [2, 3], "step": 49, "ordinal_position": 50}, {"identifier": "R54", "position": [3, 3], "step": 50, "ordinal_position": 51}, {"identifier": "B06", "position": [3, 4], "step": 51, "ordinal_position": 52}, {"identifier": "U23", "position": [3, 5], "step": 52, "ordinal_position": 53}, {"identifier": "V30", "position": [3, 6], "step": 53, "ordinal_position": 54}, {"identifier": "H84", "position": [3, 7], "step": 54, "ordinal_position": 55}, {"identifier": "A28", "position": [2, 7], "step": 55, "ordinal_position": 56}, {"identifier": "K76", "position": [1, 7], "step": 56, "ordinal_position": 57}, {"identifier": "F25", "position": [1, 8], "step": 57, "ordinal_position": 58}, {"identifier": "T19", "position": [1, 9], "step": 58, "ordinal_position": 59}, {"identifier": "U48", "position": [2, 9], "step": 59, "ordinal_position": 60}, {"identifier": "A11", "position": [3, 9], "step": 60, "ordinal_position": 61}, {"identifier": "P11", "position": [4, 9], "step": 61, "ordinal_position": 62}, {"identifier": "D74", "position": [5, 9], "step": 62, "ordinal_position": 63}, {"identifier": "S76", "position": [6, 9], "step": 63, "ordinal_position": 64}, {"identifier": "B85", "position": [7, 9], "step": 64, "ordinal_position": 65}, {"identifier": "K03", "position": [8, 9], "step": 65, "ordinal_position": 66}, {"identifier": "W19", "position": [9, 9], "step": 66, "ordinal_position": 67}, {"identifier": "T08", "position": [9, 8], "step": 67, "ordinal_position": 68}, {"identifier": "S50", "position": [9, 7], "step": 68, "ordinal_position": 69}, {"identifier": "S96", "position": [9, 6], "step": 69, "ordinal_position": 70}, {"identifier": "E65", "position": [9, 5], "step": 70, "ordinal_position": 71}, {"identifier": "F51", "position": [9, 4], "step": 71, "ordinal_position": 72}, {"identifier": "M62", "position": [9, 3], "step": 72, "ordinal_position": 73}, {"identifier": "T65", "position": [9, 2], "step": 73, "ordinal_position": 74}, {"identifier": "I49", "position": [9, 1], "step": 74, "ordinal_position": 75}, {"identifier": "E14", "position": [8, 1], "step": 75, "ordinal_position": 76}, {"identifier": "M00", "position": [7, 1], "step": 76, "ordinal_position": 77}, {"identifier": "Z65", "position": [6, 1], "step": 77, "ordinal_position": 78}, {"identifier": "W41", "position": [5, 1], "step": 78, "ordinal_position": 79}, {"identifier": "H51", "position": [4, 1], "step": 79, "ordinal_position": 80}, {"identifier": "C72", "position": [3, 1], "step": 80, "ordinal_position": 81}, {"identifier": "E90", "position": [2, 1], "step": 81, "ordinal_position": 82}, {"identifier": "P42", "position": [1, 1], "step": 82, "ordinal_position": 83}, {"identifier": "R96", "position": [1, 2], "step": 83, "ordinal_position": 84}, {"identifier": "M74", "position": [1, 3], "step": 84, "ordinal_position": 85}, {"identifier": "T66", "position": [2, 3], "step": 85, "ordinal_position": 86}, {"identifier": "R54", "position": [3, 3], "step": 86, "ordinal_position": 87}, {"identifier": "B06", "position": [3, 4], "step": 87, "ordinal_position": 88}, {"identifier": "U23", "position": [3, 5], "step": 88, "ordinal_position": 89}, {"identifier": "V30", "position": [3, 6], "step": 89, "ordinal_position": 90}, {"identifier": "H84", "position": [3, 7], "step": 90, "ordinal_position": 91}, {"identifier": "A28", "position": [2, 7], "step": 91, "ordinal_position": 92}, {"identifier": "K76", "position": [1, 7], "step": 92, "ordinal_position": 93}, {"identifier": "F25", "position": [1, 8], "step": 93, "ordinal_position": 94}, {"identifier": "T19", "position": [1, 9], "step": 94, "ordinal_position": 95}, {"identifier": "U48", "position": [2, 9], "step": 95, "ordinal_position": 96}, {"identifier": "A11", "position": [3, 9], "step": 96, "ordinal_position": 97}, {"identifier": "P11", "position": [4, 9], "step": 97, "ordinal_position": 98}, {"identifier": "D74", "position": [5, 9], "step": 98, "ordinal_position": 99}, {"identifier": "S76", "position": [6, 9], "step": 99, "ordinal_position": 100}, {"identifier": "B85", "position": [7, 9], "step": 100, "ordinal_position": 101}, {"identifier": "K03", "position": [8, 9], "step": 101, "ordinal_position": 102}, {"identifier": "W19", "position": [9, 9], "step": 102, "ordinal_position": 103}, {"identifier": "T08", "position": [9, 8], "step": 103, "ordinal_position": 104}, {"identifier": "S50", "position": [9, 7], "step": 104, "ordinal_position": 105}, {"identifier": "S96", "position": [9, 6], "step": 105, "ordinal_position": 106}, {"identifier": "E65", "position": [9, 5], "step": 106, "ordinal_position": 107}, {"identifier": "F51", "position": [9, 4], "step": 107, "ordinal_position": 108}, {"identifier": "M62", "position": [9, 3], "step": 108, "ordinal_position": 109}, {"identifier": "T65", "position": [9, 2], "step": 109, "ordinal_position": 110}, {"identifier": "I49", "position": [9, 1], "step": 110, "ordinal_position": 111}, {"identifier": "E14", "position": [8, 1], "step": 111, "ordinal_position": 112}, {"identifier": "M00", "position": [7, 1], "step": 112, "ordinal_position": 113}, {"identifier": "Z65", "position": [6, 1], "step": 113, "ordinal_position": 114}, {"identifier": "W41", "position": [5, 1], "step": 114, "ordinal_position": 115}, {"identifier": "H51", "position": [4, 1], "step": 115, "ordinal_position": 116}, {"identifier": "C72", "position": [3, 1], "step": 116, "ordinal_position": 117}, {"identifier": "E90", "position": [2, 1], "step": 117, "ordinal_position": 118}, {"identifier": "P42", "position": [1, 1], "step": 118, "ordinal_position": 119}, {"identifier": "R96", "position": [1, 2], "step": 119, "ordinal_position": 120}, {"identifier": "M74", "position": [1, 3], "step": 120, "ordinal_position": 121}, {"identifier": "T66", "position": [2, 3], "step": 121, "ordinal_position": 122}, {"identifier": "R54", "position": [3, 3], "step": 122, "ordinal_position": 123}, {"identifier": "B06", "position": [3, 4], "step": 123, "ordinal_position": 124}, {"identifier": "U23", "position": [3, 5], "step": 124, "ordinal_position": 125}, {"identifier": "V30", "position": [3, 6], "step": 125, "ordinal_position": 126}, {"identifier": "H84", "position": [3, 7], "step": 126, "ordinal_position": 127}, {"identifier": "A28", "position": [2, 7], "step": 127, "ordinal_position": 128}, {"identifier": "K76", "position": [1, 7], "step": 128, "ordinal_position": 129}, {"identifier": "F25", "position": [1, 8], "step": 129, "ordinal_position": 130}, {"identifier": "T19", "position": [1, 9], "step": 130, "ordinal_position": 131}, {"identifier": "U48", "position": [2, 9], "step": 131, "ordinal_position": 132}, {"identifier": "A11", "position": [3, 9], "step": 132, "ordinal_position": 133}, {"identifier": "P11", "position": [4, 9], "step": 133, "ordinal_position": 134}, {"identifier": "D74", "position": [5, 9], "step": 134, "ordinal_position": 135}, {"identifier": "S76", "position": [6, 9], "step": 135, "ordinal_position": 136}, {"identifier": "B85", "position": [7, 9], "step": 136, "ordinal_position": 137}, {"identifier": "K03", "position": [8, 9], "step": 137, "ordinal_position": 138}, {"identifier": "W19", "position": [9, 9], "step": 138, "ordinal_position": 139}, {"identifier": "T08", "position": [9, 8], "step": 139, "ordinal_position": 140}, {"identifier": "S50", "position": [9, 7], "step": 140, "ordinal_position": 141}, {"identifier": "S96", "position": [9, 6], "step": 141, "ordinal_position": 142}, {"identifier": "E65", "position": [9, 5], "step": 142, "ordinal_position": 143}, {"identifier": "F51", "position": [9, 4], "step": 143, "ordinal_position": 144}, {"identifier": "M62", "position": [9, 3], "step": 144, "ordinal_position": 145}, {"identifier": "T65", "position": [9, 2], "step": 145, "ordinal_position": 146}, {"identifier": "I49", "position": [9, 1], "step": 146, "ordinal_position": 147}, {"identifier": "E14", "position": [8, 1], "step": 147, "ordinal_position": 148}, {"identifier": "M00", "position": [7, 1], "step": 148, "ordinal_position": 149}, {"identifier": "Z65", "position": [6, 1], "step": 149, "ordinal_position": 150}, {"identifier": "W41", "position": [5, 1], "step": 150, "ordinal_position": 151}, {"identifier": "H51", "position": [4, 1], "step": 151, "ordinal_position": 152}, {"identifier": "C72", "position": [3, 1], "step": 152, "ordinal_position": 153}, {"identifier": "E90", "position": [2, 1], "step": 153, "ordinal_position": 154}, {"identifier": "P42", "position": [1, 1], "step": 154, "ordinal_position": 155}, {"identifier": "R96", "position": [1, 2], "step": 155, "ordinal_position": 156}, {"identifier": "M74", "position": [1, 3], "step": 156, "ordinal_position": 157}, {"identifier": "T66", "position": [2, 3], "step": 157, "ordinal_position": 158}, {"identifier": "R54", "position": [3, 3], "step": 158, "ordinal_position": 159}, {"identifier": "B06", "position": [3, 4], "step": 159, "ordinal_position": 160}, {"identifier": "U23", "position": [3, 5], "step": 160, "ordinal_position": 161}, {"identifier": "V30", "position": [3, 6], "step": 161, "ordinal_position": 162}, {"identifier": "H84", "position": [3, 7], "step": 162, "ordinal_position": 163}, {"identifier": "A28", "position": [2, 7], "step": 163, "ordinal_position": 164}, {"identifier": "K76", "position": [1, 7], "step": 164, "ordinal_position": 165}, {"identifier": "F25", "position": [1, 8], "step": 165, "ordinal_position": 166}, {"identifier": "T19", "position": [1, 9], "step": 166, "ordinal_position": 167}, {"identifier": "U48", "position": [2, 9], "step": 167, "ordinal_position": 168}, {"identifier": "A11", "position": [3, 9], "step": 168, "ordinal_position": 169}, {"identifier": "P11", "position": [4, 9], "step": 169, "ordinal_position": 170}, {"identifier": "D74", "position": [5, 9], "step": 170, "ordinal_position": 171}, {"identifier": "S76", "position": [6, 9], "step": 171, "ordinal_position": 172}, {"identifier": "B85", "position": [7, 9], "step": 172, "ordinal_position": 173}, {"identifier": "K03", "position": [8, 9], "step": 173, "ordinal_position": 174}, {"identifier": "W19", "position": [9, 9], "step": 174, "ordinal_position": 175}, {"identifier": "T08", "position": [9, 8], "step": 175, "ordinal_position": 176}, {"identifier": "S50", "position": [9, 7], "step": 176, "ordinal_position": 177}, {"identifier": "S96", "position": [9, 6], "step": 177, "ordinal_position": 178}, {"identifier": "E65", "position": [9, 5], "step": 178, "ordinal_position": 179}, {"identifier": "F51", "position": [9, 4], "step": 179, "ordinal_position": 180}, {"identifier": "M62", "position": [9, 3], "step": 180, "ordinal_position": 181}, {"identifier": "T65", "position": [9, 2], "step": 181, "ordinal_position": 182}, {"identifier": "I49", "position": [9, 1], "step": 182, "ordinal_position": 183}, {"identifier": "E14", "position": [8, 1], "step": 183, "ordinal_position": 184}, {"identifier": "M00", "position": [7, 1], "step": 184, "ordinal_position": 185}, {"identifier": "Z65", "position": [6, 1], "step": 185, "ordinal_position": 186}, {"identifier": "W41", "position": [5, 1], "step": 186, "ordinal_position": 187}, {"identifier": "H51", "position": [4, 1], "step": 187, "ordinal_position": 188}, {"identifier": "C72", "position": [3, 1], "step": 188, "ordinal_position": 189}, {"identifier": "E90", "position": [2, 1], "step": 189, "ordinal_position": 190}, {"identifier": "P42", "position": [1, 1], "step": 190, "ordinal_position": 191}, {"identifier": "R96", "position": [1, 2], "step": 191, "ordinal_position": 192}, {"identifier": "M74", "position": [1, 3], "step": 192, "ordinal_position": 193}, {"identifier": "T66", "position": [2, 3], "step": 193, "ordinal_position": 194}, {"identifier": "R54", "position": [3, 3], "step": 194, "ordinal_position": 195}, {"identifier": "B06", "position": [3, 4], "step": 195, "ordinal_position": 196}, {"identifier": "U23", "position": [3, 5], "step": 196, "ordinal_position": 197}, {"identifier": "V30", "position": [3, 6], "step": 197, "ordinal_position": 198}, {"identifier": "H84", "position": [3, 7], "step": 198, "ordinal_position": 199}, {"identifier": "A28", "position": [2, 7], "step": 199, "ordinal_position": 200}, {"identifier": "K76", "position": [1, 7], "step": 200, "ordinal_position": 201}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L2_medium", "ordinal_value": 201, "direction": "up", "turn_preference": "left", "total_objects": 52, "grid_size": 11, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_11x11_019.json"}} {"qa_id": "17d83e70dabf49d89c4452b16e8f2c05", "image_id": "L3-MazeLoop-test_21x21_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P50, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "P50", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "E75", "traversal_path": [{"identifier": "P50", "position": [7, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Z93", "position": [6, 1], "step": 1, "ordinal_position": 2}, {"identifier": "L11", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "E75", "position": [4, 1], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 4, "direction": "left", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_000.json"}} {"qa_id": "912283d5bcdf41f78abaced43d67c175", "image_id": "L3-MazeLoop-test_21x21_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B73, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "B73", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "I11", "traversal_path": [{"identifier": "B73", "position": [3, 7], "step": 0, "ordinal_position": 1}, {"identifier": "J81", "position": [3, 8], "step": 1, "ordinal_position": 2}, {"identifier": "I11", "position": [3, 9], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 3, "direction": "down", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_000.json"}} {"qa_id": "947b7792e7334d15b0fc42306e637455", "image_id": "L3-MazeLoop-test_21x21_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T70, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 19th position in this traversal?", "start_object_id": "T70", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [19], "ordinal_strings": ["19th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "G28", "traversal_path": [{"identifier": "T70", "position": [7, 12], "step": 0, "ordinal_position": 1}, {"identifier": "H35", "position": [7, 11], "step": 1, "ordinal_position": 2}, {"identifier": "S35", "position": [8, 11], "step": 2, "ordinal_position": 3}, {"identifier": "N35", "position": [9, 11], "step": 3, "ordinal_position": 4}, {"identifier": "O21", "position": [10, 11], "step": 4, "ordinal_position": 5}, {"identifier": "C61", "position": [11, 11], "step": 5, "ordinal_position": 6}, {"identifier": "Y17", "position": [11, 12], "step": 6, "ordinal_position": 7}, {"identifier": "V42", "position": [11, 13], "step": 7, "ordinal_position": 8}, {"identifier": "O68", "position": [11, 14], "step": 8, "ordinal_position": 9}, {"identifier": "O07", "position": [11, 15], "step": 9, "ordinal_position": 10}, {"identifier": "O62", "position": [12, 15], "step": 10, "ordinal_position": 11}, {"identifier": "E74", "position": [13, 15], "step": 11, "ordinal_position": 12}, {"identifier": "N65", "position": [13, 16], "step": 12, "ordinal_position": 13}, {"identifier": "Y91", "position": [13, 17], "step": 13, "ordinal_position": 14}, {"identifier": "F67", "position": [12, 17], "step": 14, "ordinal_position": 15}, {"identifier": "U01", "position": [11, 17], "step": 15, "ordinal_position": 16}, {"identifier": "A50", "position": [10, 17], "step": 16, "ordinal_position": 17}, {"identifier": "A00", "position": [9, 17], "step": 17, "ordinal_position": 18}, {"identifier": "G28", "position": [9, 18], "step": 18, "ordinal_position": 19}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 19, "direction": "up", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_000.json"}} {"qa_id": "17364d00fe274bfd9fc48fccf44afc83", "image_id": "L3-MazeLoop-test_21x21_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L92, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 17th position in this traversal?", "start_object_id": "L92", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [17], "ordinal_strings": ["17th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "L04", "traversal_path": [{"identifier": "L92", "position": [3, 6], "step": 0, "ordinal_position": 1}, {"identifier": "Q24", "position": [3, 5], "step": 1, "ordinal_position": 2}, {"identifier": "T73", "position": [2, 5], "step": 2, "ordinal_position": 3}, {"identifier": "X31", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "S28", "position": [1, 6], "step": 4, "ordinal_position": 5}, {"identifier": "I84", "position": [1, 7], "step": 5, "ordinal_position": 6}, {"identifier": "C69", "position": [1, 8], "step": 6, "ordinal_position": 7}, {"identifier": "S24", "position": [1, 9], "step": 7, "ordinal_position": 8}, {"identifier": "U36", "position": [1, 10], "step": 8, "ordinal_position": 9}, {"identifier": "Z70", "position": [1, 11], "step": 9, "ordinal_position": 10}, {"identifier": "E70", "position": [1, 12], "step": 10, "ordinal_position": 11}, {"identifier": "D30", "position": [1, 13], "step": 11, "ordinal_position": 12}, {"identifier": "N45", "position": [1, 14], "step": 12, "ordinal_position": 13}, {"identifier": "S75", "position": [1, 15], "step": 13, "ordinal_position": 14}, {"identifier": "P04", "position": [2, 15], "step": 14, "ordinal_position": 15}, {"identifier": "S37", "position": [3, 15], "step": 15, "ordinal_position": 16}, {"identifier": "L04", "position": [3, 14], "step": 16, "ordinal_position": 17}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 17, "direction": "up", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_000.json"}} {"qa_id": "8429f8c31ecb43ffaf86a2bc9bc1a3de", "image_id": "L3-MazeLoop-test_21x21_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z95, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "Z95", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "R13", "traversal_path": [{"identifier": "Z95", "position": [11, 3], "step": 0, "ordinal_position": 1}, {"identifier": "A36", "position": [12, 3], "step": 1, "ordinal_position": 2}, {"identifier": "V64", "position": [13, 3], "step": 2, "ordinal_position": 3}, {"identifier": "T62", "position": [13, 2], "step": 3, "ordinal_position": 4}, {"identifier": "P38", "position": [13, 1], "step": 4, "ordinal_position": 5}, {"identifier": "A60", "position": [14, 1], "step": 5, "ordinal_position": 6}, {"identifier": "R13", "position": [15, 1], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 7, "direction": "right", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_000.json"}} {"qa_id": "284b712b8d2349e1a3dec59b97f4328e", "image_id": "L3-MazeLoop-test_21x21_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G37, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 93rd position in this traversal?", "start_object_id": "G37", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [93], "ordinal_strings": ["93rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M61", "traversal_path": [{"identifier": "G37", "position": [9, 19], "step": 0, "ordinal_position": 1}, {"identifier": "I26", "position": [8, 19], "step": 1, "ordinal_position": 2}, {"identifier": "U25", "position": [7, 19], "step": 2, "ordinal_position": 3}, {"identifier": "U83", "position": [6, 19], "step": 3, "ordinal_position": 4}, {"identifier": "K50", "position": [5, 19], "step": 4, "ordinal_position": 5}, {"identifier": "J01", "position": [4, 19], "step": 5, "ordinal_position": 6}, {"identifier": "J83", "position": [3, 19], "step": 6, "ordinal_position": 7}, {"identifier": "E28", "position": [2, 19], "step": 7, "ordinal_position": 8}, {"identifier": "P08", "position": [1, 19], "step": 8, "ordinal_position": 9}, {"identifier": "W03", "position": [1, 18], "step": 9, "ordinal_position": 10}, {"identifier": "E71", "position": [1, 17], "step": 10, "ordinal_position": 11}, {"identifier": "X89", "position": [2, 17], "step": 11, "ordinal_position": 12}, {"identifier": "M61", "position": [3, 17], "step": 12, "ordinal_position": 13}, {"identifier": "T41", "position": [4, 17], "step": 13, "ordinal_position": 14}, {"identifier": "E01", "position": [5, 17], "step": 14, "ordinal_position": 15}, {"identifier": "R00", "position": [6, 17], "step": 15, "ordinal_position": 16}, {"identifier": "B66", "position": [7, 17], "step": 16, "ordinal_position": 17}, {"identifier": "G78", "position": [7, 18], "step": 17, "ordinal_position": 18}, {"identifier": "U25", "position": [7, 19], "step": 18, "ordinal_position": 19}, {"identifier": "U83", "position": [6, 19], "step": 19, "ordinal_position": 20}, {"identifier": "K50", "position": [5, 19], "step": 20, "ordinal_position": 21}, {"identifier": "J01", "position": [4, 19], "step": 21, "ordinal_position": 22}, {"identifier": "J83", "position": [3, 19], "step": 22, "ordinal_position": 23}, {"identifier": "E28", "position": [2, 19], "step": 23, "ordinal_position": 24}, {"identifier": "P08", "position": [1, 19], "step": 24, "ordinal_position": 25}, {"identifier": "W03", "position": [1, 18], "step": 25, "ordinal_position": 26}, {"identifier": "E71", "position": [1, 17], "step": 26, "ordinal_position": 27}, {"identifier": "X89", "position": [2, 17], "step": 27, "ordinal_position": 28}, {"identifier": "M61", "position": [3, 17], "step": 28, "ordinal_position": 29}, {"identifier": "T41", "position": [4, 17], "step": 29, "ordinal_position": 30}, {"identifier": "E01", "position": [5, 17], "step": 30, "ordinal_position": 31}, {"identifier": "R00", "position": [6, 17], "step": 31, "ordinal_position": 32}, {"identifier": "B66", "position": [7, 17], "step": 32, "ordinal_position": 33}, {"identifier": "G78", "position": [7, 18], "step": 33, "ordinal_position": 34}, {"identifier": "U25", "position": [7, 19], "step": 34, "ordinal_position": 35}, {"identifier": "U83", "position": [6, 19], "step": 35, "ordinal_position": 36}, {"identifier": "K50", "position": [5, 19], "step": 36, "ordinal_position": 37}, {"identifier": "J01", "position": [4, 19], "step": 37, "ordinal_position": 38}, {"identifier": "J83", "position": [3, 19], "step": 38, "ordinal_position": 39}, {"identifier": "E28", "position": [2, 19], "step": 39, "ordinal_position": 40}, {"identifier": "P08", "position": [1, 19], "step": 40, "ordinal_position": 41}, {"identifier": "W03", "position": [1, 18], "step": 41, "ordinal_position": 42}, {"identifier": "E71", "position": [1, 17], "step": 42, "ordinal_position": 43}, {"identifier": "X89", "position": [2, 17], "step": 43, "ordinal_position": 44}, {"identifier": "M61", "position": [3, 17], "step": 44, "ordinal_position": 45}, {"identifier": "T41", "position": [4, 17], "step": 45, "ordinal_position": 46}, {"identifier": "E01", "position": [5, 17], "step": 46, "ordinal_position": 47}, {"identifier": "R00", "position": [6, 17], "step": 47, "ordinal_position": 48}, {"identifier": "B66", "position": [7, 17], "step": 48, "ordinal_position": 49}, {"identifier": "G78", "position": [7, 18], "step": 49, "ordinal_position": 50}, {"identifier": "U25", "position": [7, 19], "step": 50, "ordinal_position": 51}, {"identifier": "U83", "position": [6, 19], "step": 51, "ordinal_position": 52}, {"identifier": "K50", "position": [5, 19], "step": 52, "ordinal_position": 53}, {"identifier": "J01", "position": [4, 19], "step": 53, "ordinal_position": 54}, {"identifier": "J83", "position": [3, 19], "step": 54, "ordinal_position": 55}, {"identifier": "E28", "position": [2, 19], "step": 55, "ordinal_position": 56}, {"identifier": "P08", "position": [1, 19], "step": 56, "ordinal_position": 57}, {"identifier": "W03", "position": [1, 18], "step": 57, "ordinal_position": 58}, {"identifier": "E71", "position": [1, 17], "step": 58, "ordinal_position": 59}, {"identifier": "X89", "position": [2, 17], "step": 59, "ordinal_position": 60}, {"identifier": "M61", "position": [3, 17], "step": 60, "ordinal_position": 61}, {"identifier": "T41", "position": [4, 17], "step": 61, "ordinal_position": 62}, {"identifier": "E01", "position": [5, 17], "step": 62, "ordinal_position": 63}, {"identifier": "R00", "position": [6, 17], "step": 63, "ordinal_position": 64}, {"identifier": "B66", "position": [7, 17], "step": 64, "ordinal_position": 65}, {"identifier": "G78", "position": [7, 18], "step": 65, "ordinal_position": 66}, {"identifier": "U25", "position": [7, 19], "step": 66, "ordinal_position": 67}, {"identifier": "U83", "position": [6, 19], "step": 67, "ordinal_position": 68}, {"identifier": "K50", "position": [5, 19], "step": 68, "ordinal_position": 69}, {"identifier": "J01", "position": [4, 19], "step": 69, "ordinal_position": 70}, {"identifier": "J83", "position": [3, 19], "step": 70, "ordinal_position": 71}, {"identifier": "E28", "position": [2, 19], "step": 71, "ordinal_position": 72}, {"identifier": "P08", "position": [1, 19], "step": 72, "ordinal_position": 73}, {"identifier": "W03", "position": [1, 18], "step": 73, "ordinal_position": 74}, {"identifier": "E71", "position": [1, 17], "step": 74, "ordinal_position": 75}, {"identifier": "X89", "position": [2, 17], "step": 75, "ordinal_position": 76}, {"identifier": "M61", "position": [3, 17], "step": 76, "ordinal_position": 77}, {"identifier": "T41", "position": [4, 17], "step": 77, "ordinal_position": 78}, {"identifier": "E01", "position": [5, 17], "step": 78, "ordinal_position": 79}, {"identifier": "R00", "position": [6, 17], "step": 79, "ordinal_position": 80}, {"identifier": "B66", "position": [7, 17], "step": 80, "ordinal_position": 81}, {"identifier": "G78", "position": [7, 18], "step": 81, "ordinal_position": 82}, {"identifier": "U25", "position": [7, 19], "step": 82, "ordinal_position": 83}, {"identifier": "U83", "position": [6, 19], "step": 83, "ordinal_position": 84}, {"identifier": "K50", "position": [5, 19], "step": 84, "ordinal_position": 85}, {"identifier": "J01", "position": [4, 19], "step": 85, "ordinal_position": 86}, {"identifier": "J83", "position": [3, 19], "step": 86, "ordinal_position": 87}, {"identifier": "E28", "position": [2, 19], "step": 87, "ordinal_position": 88}, {"identifier": "P08", "position": [1, 19], "step": 88, "ordinal_position": 89}, {"identifier": "W03", "position": [1, 18], "step": 89, "ordinal_position": 90}, {"identifier": "E71", "position": [1, 17], "step": 90, "ordinal_position": 91}, {"identifier": "X89", "position": [2, 17], "step": 91, "ordinal_position": 92}, {"identifier": "M61", "position": [3, 17], "step": 92, "ordinal_position": 93}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 93, "direction": "left", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_000.json"}} {"qa_id": "a1cfad37ec094a52b7049da2e96593c3", "image_id": "L3-MazeLoop-test_21x21_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U25, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 33rd position in this traversal?", "start_object_id": "U25", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [33], "ordinal_strings": ["33rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "U25", "traversal_path": [{"identifier": "U25", "position": [7, 19], "step": 0, "ordinal_position": 1}, {"identifier": "U83", "position": [6, 19], "step": 1, "ordinal_position": 2}, {"identifier": "K50", "position": [5, 19], "step": 2, "ordinal_position": 3}, {"identifier": "J01", "position": [4, 19], "step": 3, "ordinal_position": 4}, {"identifier": "J83", "position": [3, 19], "step": 4, "ordinal_position": 5}, {"identifier": "E28", "position": [2, 19], "step": 5, "ordinal_position": 6}, {"identifier": "P08", "position": [1, 19], "step": 6, "ordinal_position": 7}, {"identifier": "W03", "position": [1, 18], "step": 7, "ordinal_position": 8}, {"identifier": "E71", "position": [1, 17], "step": 8, "ordinal_position": 9}, {"identifier": "X89", "position": [2, 17], "step": 9, "ordinal_position": 10}, {"identifier": "M61", "position": [3, 17], "step": 10, "ordinal_position": 11}, {"identifier": "T41", "position": [4, 17], "step": 11, "ordinal_position": 12}, {"identifier": "E01", "position": [5, 17], "step": 12, "ordinal_position": 13}, {"identifier": "R00", "position": [6, 17], "step": 13, "ordinal_position": 14}, {"identifier": "B66", "position": [7, 17], "step": 14, "ordinal_position": 15}, {"identifier": "G78", "position": [7, 18], "step": 15, "ordinal_position": 16}, {"identifier": "U25", "position": [7, 19], "step": 16, "ordinal_position": 17}, {"identifier": "U83", "position": [6, 19], "step": 17, "ordinal_position": 18}, {"identifier": "K50", "position": [5, 19], "step": 18, "ordinal_position": 19}, {"identifier": "J01", "position": [4, 19], "step": 19, "ordinal_position": 20}, {"identifier": "J83", "position": [3, 19], "step": 20, "ordinal_position": 21}, {"identifier": "E28", "position": [2, 19], "step": 21, "ordinal_position": 22}, {"identifier": "P08", "position": [1, 19], "step": 22, "ordinal_position": 23}, {"identifier": "W03", "position": [1, 18], "step": 23, "ordinal_position": 24}, {"identifier": "E71", "position": [1, 17], "step": 24, "ordinal_position": 25}, {"identifier": "X89", "position": [2, 17], "step": 25, "ordinal_position": 26}, {"identifier": "M61", "position": [3, 17], "step": 26, "ordinal_position": 27}, {"identifier": "T41", "position": [4, 17], "step": 27, "ordinal_position": 28}, {"identifier": "E01", "position": [5, 17], "step": 28, "ordinal_position": 29}, {"identifier": "R00", "position": [6, 17], "step": 29, "ordinal_position": 30}, {"identifier": "B66", "position": [7, 17], "step": 30, "ordinal_position": 31}, {"identifier": "G78", "position": [7, 18], "step": 31, "ordinal_position": 32}, {"identifier": "U25", "position": [7, 19], "step": 32, "ordinal_position": 33}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 33, "direction": "left", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_000.json"}} {"qa_id": "29cae4b1a75d4854b5aae8f367592562", "image_id": "L3-MazeLoop-test_21x21_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G32, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 44th position in this traversal?", "start_object_id": "G32", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [44], "ordinal_strings": ["44th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "D46", "traversal_path": [{"identifier": "G32", "position": [7, 3], "step": 0, "ordinal_position": 1}, {"identifier": "B97", "position": [7, 2], "step": 1, "ordinal_position": 2}, {"identifier": "P50", "position": [7, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Z93", "position": [6, 1], "step": 3, "ordinal_position": 4}, {"identifier": "L11", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "E75", "position": [4, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Z07", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "G45", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "N80", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Q13", "position": [1, 2], "step": 9, "ordinal_position": 10}, {"identifier": "W79", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "C04", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "X31", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "S28", "position": [1, 6], "step": 13, "ordinal_position": 14}, {"identifier": "I84", "position": [1, 7], "step": 14, "ordinal_position": 15}, {"identifier": "C69", "position": [1, 8], "step": 15, "ordinal_position": 16}, {"identifier": "S24", "position": [1, 9], "step": 16, "ordinal_position": 17}, {"identifier": "U36", "position": [1, 10], "step": 17, "ordinal_position": 18}, {"identifier": "Z70", "position": [1, 11], "step": 18, "ordinal_position": 19}, {"identifier": "E70", "position": [1, 12], "step": 19, "ordinal_position": 20}, {"identifier": "D30", "position": [1, 13], "step": 20, "ordinal_position": 21}, {"identifier": "N45", "position": [1, 14], "step": 21, "ordinal_position": 22}, {"identifier": "S75", "position": [1, 15], "step": 22, "ordinal_position": 23}, {"identifier": "P04", "position": [2, 15], "step": 23, "ordinal_position": 24}, {"identifier": "S37", "position": [3, 15], "step": 24, "ordinal_position": 25}, {"identifier": "L04", "position": [3, 14], "step": 25, "ordinal_position": 26}, {"identifier": "M36", "position": [3, 13], "step": 26, "ordinal_position": 27}, {"identifier": "N69", "position": [4, 13], "step": 27, "ordinal_position": 28}, {"identifier": "Y99", "position": [5, 13], "step": 28, "ordinal_position": 29}, {"identifier": "J13", "position": [5, 14], "step": 29, "ordinal_position": 30}, {"identifier": "B59", "position": [5, 15], "step": 30, "ordinal_position": 31}, {"identifier": "D56", "position": [6, 15], "step": 31, "ordinal_position": 32}, {"identifier": "L85", "position": [7, 15], "step": 32, "ordinal_position": 33}, {"identifier": "R32", "position": [8, 15], "step": 33, "ordinal_position": 34}, {"identifier": "M38", "position": [9, 15], "step": 34, "ordinal_position": 35}, {"identifier": "N85", "position": [9, 14], "step": 35, "ordinal_position": 36}, {"identifier": "E00", "position": [9, 13], "step": 36, "ordinal_position": 37}, {"identifier": "N75", "position": [8, 13], "step": 37, "ordinal_position": 38}, {"identifier": "X95", "position": [7, 13], "step": 38, "ordinal_position": 39}, {"identifier": "T70", "position": [7, 12], "step": 39, "ordinal_position": 40}, {"identifier": "H35", "position": [7, 11], "step": 40, "ordinal_position": 41}, {"identifier": "N72", "position": [6, 11], "step": 41, "ordinal_position": 42}, {"identifier": "P25", "position": [5, 11], "step": 42, "ordinal_position": 43}, {"identifier": "D46", "position": [4, 11], "step": 43, "ordinal_position": 44}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 44, "direction": "up", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_000.json"}} {"qa_id": "7d324636883b4eee9eccee40b5ce4449", "image_id": "L3-MazeLoop-test_21x21_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y17, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 73rd position in this traversal?", "start_object_id": "Y17", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [73], "ordinal_strings": ["73rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "T58", "traversal_path": [{"identifier": "Y17", "position": [11, 12], "step": 0, "ordinal_position": 1}, {"identifier": "C61", "position": [11, 11], "step": 1, "ordinal_position": 2}, {"identifier": "M89", "position": [11, 10], "step": 2, "ordinal_position": 3}, {"identifier": "D41", "position": [11, 9], "step": 3, "ordinal_position": 4}, {"identifier": "H30", "position": [12, 9], "step": 4, "ordinal_position": 5}, {"identifier": "I13", "position": [13, 9], "step": 5, "ordinal_position": 6}, {"identifier": "I10", "position": [14, 9], "step": 6, "ordinal_position": 7}, {"identifier": "X27", "position": [15, 9], "step": 7, "ordinal_position": 8}, {"identifier": "I51", "position": [15, 8], "step": 8, "ordinal_position": 9}, {"identifier": "V33", "position": [15, 7], "step": 9, "ordinal_position": 10}, {"identifier": "Q17", "position": [14, 7], "step": 10, "ordinal_position": 11}, {"identifier": "G12", "position": [13, 7], "step": 11, "ordinal_position": 12}, {"identifier": "W97", "position": [13, 8], "step": 12, "ordinal_position": 13}, {"identifier": "I13", "position": [13, 9], "step": 13, "ordinal_position": 14}, {"identifier": "F99", "position": [13, 10], "step": 14, "ordinal_position": 15}, {"identifier": "L79", "position": [13, 11], "step": 15, "ordinal_position": 16}, {"identifier": "I74", "position": [13, 12], "step": 16, "ordinal_position": 17}, {"identifier": "U38", "position": [13, 13], "step": 17, "ordinal_position": 18}, {"identifier": "Z41", "position": [13, 14], "step": 18, "ordinal_position": 19}, {"identifier": "E74", "position": [13, 15], "step": 19, "ordinal_position": 20}, {"identifier": "N65", "position": [13, 16], "step": 20, "ordinal_position": 21}, {"identifier": "Y91", "position": [13, 17], "step": 21, "ordinal_position": 22}, {"identifier": "F67", "position": [12, 17], "step": 22, "ordinal_position": 23}, {"identifier": "U01", "position": [11, 17], "step": 23, "ordinal_position": 24}, {"identifier": "A50", "position": [10, 17], "step": 24, "ordinal_position": 25}, {"identifier": "A00", "position": [9, 17], "step": 25, "ordinal_position": 26}, {"identifier": "G28", "position": [9, 18], "step": 26, "ordinal_position": 27}, {"identifier": "G37", "position": [9, 19], "step": 27, "ordinal_position": 28}, {"identifier": "F31", "position": [10, 19], "step": 28, "ordinal_position": 29}, {"identifier": "A09", "position": [11, 19], "step": 29, "ordinal_position": 30}, {"identifier": "W96", "position": [12, 19], "step": 30, "ordinal_position": 31}, {"identifier": "S78", "position": [13, 19], "step": 31, "ordinal_position": 32}, {"identifier": "T58", "position": [14, 19], "step": 32, "ordinal_position": 33}, {"identifier": "B54", "position": [15, 19], "step": 33, "ordinal_position": 34}, {"identifier": "B72", "position": [16, 19], "step": 34, "ordinal_position": 35}, {"identifier": "Y88", "position": [17, 19], "step": 35, "ordinal_position": 36}, {"identifier": "A76", "position": [18, 19], "step": 36, "ordinal_position": 37}, {"identifier": "B68", "position": [19, 19], "step": 37, "ordinal_position": 38}, {"identifier": "H80", "position": [19, 18], "step": 38, "ordinal_position": 39}, {"identifier": "Q97", "position": [19, 17], "step": 39, "ordinal_position": 40}, {"identifier": "A89", "position": [19, 16], "step": 40, "ordinal_position": 41}, {"identifier": "L40", "position": [19, 15], "step": 41, "ordinal_position": 42}, {"identifier": "T95", "position": [19, 14], "step": 42, "ordinal_position": 43}, {"identifier": "B46", "position": [19, 13], "step": 43, "ordinal_position": 44}, {"identifier": "M95", "position": [19, 12], "step": 44, "ordinal_position": 45}, {"identifier": "Q30", "position": [19, 11], "step": 45, "ordinal_position": 46}, {"identifier": "H46", "position": [18, 11], "step": 46, "ordinal_position": 47}, {"identifier": "V53", "position": [17, 11], "step": 47, "ordinal_position": 48}, {"identifier": "I48", "position": [17, 12], "step": 48, "ordinal_position": 49}, {"identifier": "C50", "position": [17, 13], "step": 49, "ordinal_position": 50}, {"identifier": "W99", "position": [16, 13], "step": 50, "ordinal_position": 51}, {"identifier": "G82", "position": [15, 13], "step": 51, "ordinal_position": 52}, {"identifier": "R66", "position": [15, 12], "step": 52, "ordinal_position": 53}, {"identifier": "F42", "position": [15, 11], "step": 53, "ordinal_position": 54}, {"identifier": "P76", "position": [14, 11], "step": 54, "ordinal_position": 55}, {"identifier": "L79", "position": [13, 11], "step": 55, "ordinal_position": 56}, {"identifier": "I74", "position": [13, 12], "step": 56, "ordinal_position": 57}, {"identifier": "U38", "position": [13, 13], "step": 57, "ordinal_position": 58}, {"identifier": "Z41", "position": [13, 14], "step": 58, "ordinal_position": 59}, {"identifier": "E74", "position": [13, 15], "step": 59, "ordinal_position": 60}, {"identifier": "N65", "position": [13, 16], "step": 60, "ordinal_position": 61}, {"identifier": "Y91", "position": [13, 17], "step": 61, "ordinal_position": 62}, {"identifier": "F67", "position": [12, 17], "step": 62, "ordinal_position": 63}, {"identifier": "U01", "position": [11, 17], "step": 63, "ordinal_position": 64}, {"identifier": "A50", "position": [10, 17], "step": 64, "ordinal_position": 65}, {"identifier": "A00", "position": [9, 17], "step": 65, "ordinal_position": 66}, {"identifier": "G28", "position": [9, 18], "step": 66, "ordinal_position": 67}, {"identifier": "G37", "position": [9, 19], "step": 67, "ordinal_position": 68}, {"identifier": "F31", "position": [10, 19], "step": 68, "ordinal_position": 69}, {"identifier": "A09", "position": [11, 19], "step": 69, "ordinal_position": 70}, {"identifier": "W96", "position": [12, 19], "step": 70, "ordinal_position": 71}, {"identifier": "S78", "position": [13, 19], "step": 71, "ordinal_position": 72}, {"identifier": "T58", "position": [14, 19], "step": 72, "ordinal_position": 73}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 73, "direction": "up", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_000.json"}} {"qa_id": "b31de54e4c3e4a02be50053ae9103c00", "image_id": "L3-MazeLoop-test_21x21_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G32, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 82nd position in this traversal?", "start_object_id": "G32", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [82], "ordinal_strings": ["82nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "N72", "traversal_path": [{"identifier": "G32", "position": [7, 3], "step": 0, "ordinal_position": 1}, {"identifier": "B97", "position": [7, 2], "step": 1, "ordinal_position": 2}, {"identifier": "P50", "position": [7, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Z93", "position": [6, 1], "step": 3, "ordinal_position": 4}, {"identifier": "L11", "position": [5, 1], "step": 4, "ordinal_position": 5}, {"identifier": "E75", "position": [4, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Z07", "position": [3, 1], "step": 6, "ordinal_position": 7}, {"identifier": "G45", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "N80", "position": [1, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Q13", "position": [1, 2], "step": 9, "ordinal_position": 10}, {"identifier": "W79", "position": [1, 3], "step": 10, "ordinal_position": 11}, {"identifier": "C04", "position": [1, 4], "step": 11, "ordinal_position": 12}, {"identifier": "X31", "position": [1, 5], "step": 12, "ordinal_position": 13}, {"identifier": "S28", "position": [1, 6], "step": 13, "ordinal_position": 14}, {"identifier": "I84", "position": [1, 7], "step": 14, "ordinal_position": 15}, {"identifier": "C69", "position": [1, 8], "step": 15, "ordinal_position": 16}, {"identifier": "S24", "position": [1, 9], "step": 16, "ordinal_position": 17}, {"identifier": "U36", "position": [1, 10], "step": 17, "ordinal_position": 18}, {"identifier": "Z70", "position": [1, 11], "step": 18, "ordinal_position": 19}, {"identifier": "E70", "position": [1, 12], "step": 19, "ordinal_position": 20}, {"identifier": "D30", "position": [1, 13], "step": 20, "ordinal_position": 21}, {"identifier": "N45", "position": [1, 14], "step": 21, "ordinal_position": 22}, {"identifier": "S75", "position": [1, 15], "step": 22, "ordinal_position": 23}, {"identifier": "P04", "position": [2, 15], "step": 23, "ordinal_position": 24}, {"identifier": "S37", "position": [3, 15], "step": 24, "ordinal_position": 25}, {"identifier": "L04", "position": [3, 14], "step": 25, "ordinal_position": 26}, {"identifier": "M36", "position": [3, 13], "step": 26, "ordinal_position": 27}, {"identifier": "N69", "position": [4, 13], "step": 27, "ordinal_position": 28}, {"identifier": "Y99", "position": [5, 13], "step": 28, "ordinal_position": 29}, {"identifier": "J13", "position": [5, 14], "step": 29, "ordinal_position": 30}, {"identifier": "B59", "position": [5, 15], "step": 30, "ordinal_position": 31}, {"identifier": "D56", "position": [6, 15], "step": 31, "ordinal_position": 32}, {"identifier": "L85", "position": [7, 15], "step": 32, "ordinal_position": 33}, {"identifier": "R32", "position": [8, 15], "step": 33, "ordinal_position": 34}, {"identifier": "M38", "position": [9, 15], "step": 34, "ordinal_position": 35}, {"identifier": "N85", "position": [9, 14], "step": 35, "ordinal_position": 36}, {"identifier": "E00", "position": [9, 13], "step": 36, "ordinal_position": 37}, {"identifier": "N75", "position": [8, 13], "step": 37, "ordinal_position": 38}, {"identifier": "X95", "position": [7, 13], "step": 38, "ordinal_position": 39}, {"identifier": "T70", "position": [7, 12], "step": 39, "ordinal_position": 40}, {"identifier": "H35", "position": [7, 11], "step": 40, "ordinal_position": 41}, {"identifier": "N72", "position": [6, 11], "step": 41, "ordinal_position": 42}, {"identifier": "P25", "position": [5, 11], "step": 42, "ordinal_position": 43}, {"identifier": "D46", "position": [4, 11], "step": 43, "ordinal_position": 44}, {"identifier": "T48", "position": [3, 11], "step": 44, "ordinal_position": 45}, {"identifier": "J80", "position": [3, 10], "step": 45, "ordinal_position": 46}, {"identifier": "I11", "position": [3, 9], "step": 46, "ordinal_position": 47}, {"identifier": "J81", "position": [3, 8], "step": 47, "ordinal_position": 48}, {"identifier": "B73", "position": [3, 7], "step": 48, "ordinal_position": 49}, {"identifier": "L92", "position": [3, 6], "step": 49, "ordinal_position": 50}, {"identifier": "Q24", "position": [3, 5], "step": 50, "ordinal_position": 51}, {"identifier": "T73", "position": [2, 5], "step": 51, "ordinal_position": 52}, {"identifier": "X31", "position": [1, 5], "step": 52, "ordinal_position": 53}, {"identifier": "S28", "position": [1, 6], "step": 53, "ordinal_position": 54}, {"identifier": "I84", "position": [1, 7], "step": 54, "ordinal_position": 55}, {"identifier": "C69", "position": [1, 8], "step": 55, "ordinal_position": 56}, {"identifier": "S24", "position": [1, 9], "step": 56, "ordinal_position": 57}, {"identifier": "U36", "position": [1, 10], "step": 57, "ordinal_position": 58}, {"identifier": "Z70", "position": [1, 11], "step": 58, "ordinal_position": 59}, {"identifier": "E70", "position": [1, 12], "step": 59, "ordinal_position": 60}, {"identifier": "D30", "position": [1, 13], "step": 60, "ordinal_position": 61}, {"identifier": "N45", "position": [1, 14], "step": 61, "ordinal_position": 62}, {"identifier": "S75", "position": [1, 15], "step": 62, "ordinal_position": 63}, {"identifier": "P04", "position": [2, 15], "step": 63, "ordinal_position": 64}, {"identifier": "S37", "position": [3, 15], "step": 64, "ordinal_position": 65}, {"identifier": "L04", "position": [3, 14], "step": 65, "ordinal_position": 66}, {"identifier": "M36", "position": [3, 13], "step": 66, "ordinal_position": 67}, {"identifier": "N69", "position": [4, 13], "step": 67, "ordinal_position": 68}, {"identifier": "Y99", "position": [5, 13], "step": 68, "ordinal_position": 69}, {"identifier": "J13", "position": [5, 14], "step": 69, "ordinal_position": 70}, {"identifier": "B59", "position": [5, 15], "step": 70, "ordinal_position": 71}, {"identifier": "D56", "position": [6, 15], "step": 71, "ordinal_position": 72}, {"identifier": "L85", "position": [7, 15], "step": 72, "ordinal_position": 73}, {"identifier": "R32", "position": [8, 15], "step": 73, "ordinal_position": 74}, {"identifier": "M38", "position": [9, 15], "step": 74, "ordinal_position": 75}, {"identifier": "N85", "position": [9, 14], "step": 75, "ordinal_position": 76}, {"identifier": "E00", "position": [9, 13], "step": 76, "ordinal_position": 77}, {"identifier": "N75", "position": [8, 13], "step": 77, "ordinal_position": 78}, {"identifier": "X95", "position": [7, 13], "step": 78, "ordinal_position": 79}, {"identifier": "T70", "position": [7, 12], "step": 79, "ordinal_position": 80}, {"identifier": "H35", "position": [7, 11], "step": 80, "ordinal_position": 81}, {"identifier": "N72", "position": [6, 11], "step": 81, "ordinal_position": 82}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 82, "direction": "up", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_000.json"}} {"qa_id": "6a3d1e9d707c4154a53e8794ed247e48", "image_id": "L3-MazeLoop-test_21x21_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L25, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 110th position in this traversal?", "start_object_id": "L25", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [110], "ordinal_strings": ["110th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M61", "traversal_path": [{"identifier": "L25", "position": [11, 6], "step": 0, "ordinal_position": 1}, {"identifier": "B87", "position": [11, 5], "step": 1, "ordinal_position": 2}, {"identifier": "I42", "position": [10, 5], "step": 2, "ordinal_position": 3}, {"identifier": "Q47", "position": [9, 5], "step": 3, "ordinal_position": 4}, {"identifier": "E10", "position": [9, 4], "step": 4, "ordinal_position": 5}, {"identifier": "O78", "position": [9, 3], "step": 5, "ordinal_position": 6}, {"identifier": "A13", "position": [9, 2], "step": 6, "ordinal_position": 7}, {"identifier": "Y04", "position": [9, 1], "step": 7, "ordinal_position": 8}, {"identifier": "W46", "position": [10, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Z53", "position": [11, 1], "step": 9, "ordinal_position": 10}, {"identifier": "H87", "position": [11, 2], "step": 10, "ordinal_position": 11}, {"identifier": "Z95", "position": [11, 3], "step": 11, "ordinal_position": 12}, {"identifier": "A36", "position": [12, 3], "step": 12, "ordinal_position": 13}, {"identifier": "V64", "position": [13, 3], "step": 13, "ordinal_position": 14}, {"identifier": "T62", "position": [13, 2], "step": 14, "ordinal_position": 15}, {"identifier": "P38", "position": [13, 1], "step": 15, "ordinal_position": 16}, {"identifier": "A60", "position": [14, 1], "step": 16, "ordinal_position": 17}, {"identifier": "R13", "position": [15, 1], "step": 17, "ordinal_position": 18}, {"identifier": "L46", "position": [16, 1], "step": 18, "ordinal_position": 19}, {"identifier": "R47", "position": [17, 1], "step": 19, "ordinal_position": 20}, {"identifier": "Q98", "position": [18, 1], "step": 20, "ordinal_position": 21}, {"identifier": "D23", "position": [19, 1], "step": 21, "ordinal_position": 22}, {"identifier": "D42", "position": [19, 2], "step": 22, "ordinal_position": 23}, {"identifier": "Y35", "position": [19, 3], "step": 23, "ordinal_position": 24}, {"identifier": "M78", "position": [18, 3], "step": 24, "ordinal_position": 25}, {"identifier": "L87", "position": [17, 3], "step": 25, "ordinal_position": 26}, {"identifier": "C90", "position": [16, 3], "step": 26, "ordinal_position": 27}, {"identifier": "X97", "position": [15, 3], "step": 27, "ordinal_position": 28}, {"identifier": "E87", "position": [15, 4], "step": 28, "ordinal_position": 29}, {"identifier": "R10", "position": [15, 5], "step": 29, "ordinal_position": 30}, {"identifier": "F46", "position": [14, 5], "step": 30, "ordinal_position": 31}, {"identifier": "Z67", "position": [13, 5], "step": 31, "ordinal_position": 32}, {"identifier": "I89", "position": [13, 6], "step": 32, "ordinal_position": 33}, {"identifier": "G12", "position": [13, 7], "step": 33, "ordinal_position": 34}, {"identifier": "W97", "position": [13, 8], "step": 34, "ordinal_position": 35}, {"identifier": "I13", "position": [13, 9], "step": 35, "ordinal_position": 36}, {"identifier": "F99", "position": [13, 10], "step": 36, "ordinal_position": 37}, {"identifier": "L79", "position": [13, 11], "step": 37, "ordinal_position": 38}, {"identifier": "I74", "position": [13, 12], "step": 38, "ordinal_position": 39}, {"identifier": "U38", "position": [13, 13], "step": 39, "ordinal_position": 40}, {"identifier": "Z41", "position": [13, 14], "step": 40, "ordinal_position": 41}, {"identifier": "E74", "position": [13, 15], "step": 41, "ordinal_position": 42}, {"identifier": "N65", "position": [13, 16], "step": 42, "ordinal_position": 43}, {"identifier": "Y91", "position": [13, 17], "step": 43, "ordinal_position": 44}, {"identifier": "F67", "position": [12, 17], "step": 44, "ordinal_position": 45}, {"identifier": "U01", "position": [11, 17], "step": 45, "ordinal_position": 46}, {"identifier": "A50", "position": [10, 17], "step": 46, "ordinal_position": 47}, {"identifier": "A00", "position": [9, 17], "step": 47, "ordinal_position": 48}, {"identifier": "G28", "position": [9, 18], "step": 48, "ordinal_position": 49}, {"identifier": "G37", "position": [9, 19], "step": 49, "ordinal_position": 50}, {"identifier": "I26", "position": [8, 19], "step": 50, "ordinal_position": 51}, {"identifier": "U25", "position": [7, 19], "step": 51, "ordinal_position": 52}, {"identifier": "U83", "position": [6, 19], "step": 52, "ordinal_position": 53}, {"identifier": "K50", "position": [5, 19], "step": 53, "ordinal_position": 54}, {"identifier": "J01", "position": [4, 19], "step": 54, "ordinal_position": 55}, {"identifier": "J83", "position": [3, 19], "step": 55, "ordinal_position": 56}, {"identifier": "E28", "position": [2, 19], "step": 56, "ordinal_position": 57}, {"identifier": "P08", "position": [1, 19], "step": 57, "ordinal_position": 58}, {"identifier": "W03", "position": [1, 18], "step": 58, "ordinal_position": 59}, {"identifier": "E71", "position": [1, 17], "step": 59, "ordinal_position": 60}, {"identifier": "X89", "position": [2, 17], "step": 60, "ordinal_position": 61}, {"identifier": "M61", "position": [3, 17], "step": 61, "ordinal_position": 62}, {"identifier": "T41", "position": [4, 17], "step": 62, "ordinal_position": 63}, {"identifier": "E01", "position": [5, 17], "step": 63, "ordinal_position": 64}, {"identifier": "R00", "position": [6, 17], "step": 64, "ordinal_position": 65}, {"identifier": "B66", "position": [7, 17], "step": 65, "ordinal_position": 66}, {"identifier": "G78", "position": [7, 18], "step": 66, "ordinal_position": 67}, {"identifier": "U25", "position": [7, 19], "step": 67, "ordinal_position": 68}, {"identifier": "U83", "position": [6, 19], "step": 68, "ordinal_position": 69}, {"identifier": "K50", "position": [5, 19], "step": 69, "ordinal_position": 70}, {"identifier": "J01", "position": [4, 19], "step": 70, "ordinal_position": 71}, {"identifier": "J83", "position": [3, 19], "step": 71, "ordinal_position": 72}, {"identifier": "E28", "position": [2, 19], "step": 72, "ordinal_position": 73}, {"identifier": "P08", "position": [1, 19], "step": 73, "ordinal_position": 74}, {"identifier": "W03", "position": [1, 18], "step": 74, "ordinal_position": 75}, {"identifier": "E71", "position": [1, 17], "step": 75, "ordinal_position": 76}, {"identifier": "X89", "position": [2, 17], "step": 76, "ordinal_position": 77}, {"identifier": "M61", "position": [3, 17], "step": 77, "ordinal_position": 78}, {"identifier": "T41", "position": [4, 17], "step": 78, "ordinal_position": 79}, {"identifier": "E01", "position": [5, 17], "step": 79, "ordinal_position": 80}, {"identifier": "R00", "position": [6, 17], "step": 80, "ordinal_position": 81}, {"identifier": "B66", "position": [7, 17], "step": 81, "ordinal_position": 82}, {"identifier": "G78", "position": [7, 18], "step": 82, "ordinal_position": 83}, {"identifier": "U25", "position": [7, 19], "step": 83, "ordinal_position": 84}, {"identifier": "U83", "position": [6, 19], "step": 84, "ordinal_position": 85}, {"identifier": "K50", "position": [5, 19], "step": 85, "ordinal_position": 86}, {"identifier": "J01", "position": [4, 19], "step": 86, "ordinal_position": 87}, {"identifier": "J83", "position": [3, 19], "step": 87, "ordinal_position": 88}, {"identifier": "E28", "position": [2, 19], "step": 88, "ordinal_position": 89}, {"identifier": "P08", "position": [1, 19], "step": 89, "ordinal_position": 90}, {"identifier": "W03", "position": [1, 18], "step": 90, "ordinal_position": 91}, {"identifier": "E71", "position": [1, 17], "step": 91, "ordinal_position": 92}, {"identifier": "X89", "position": [2, 17], "step": 92, "ordinal_position": 93}, {"identifier": "M61", "position": [3, 17], "step": 93, "ordinal_position": 94}, {"identifier": "T41", "position": [4, 17], "step": 94, "ordinal_position": 95}, {"identifier": "E01", "position": [5, 17], "step": 95, "ordinal_position": 96}, {"identifier": "R00", "position": [6, 17], "step": 96, "ordinal_position": 97}, {"identifier": "B66", "position": [7, 17], "step": 97, "ordinal_position": 98}, {"identifier": "G78", "position": [7, 18], "step": 98, "ordinal_position": 99}, {"identifier": "U25", "position": [7, 19], "step": 99, "ordinal_position": 100}, {"identifier": "U83", "position": [6, 19], "step": 100, "ordinal_position": 101}, {"identifier": "K50", "position": [5, 19], "step": 101, "ordinal_position": 102}, {"identifier": "J01", "position": [4, 19], "step": 102, "ordinal_position": 103}, {"identifier": "J83", "position": [3, 19], "step": 103, "ordinal_position": 104}, {"identifier": "E28", "position": [2, 19], "step": 104, "ordinal_position": 105}, {"identifier": "P08", "position": [1, 19], "step": 105, "ordinal_position": 106}, {"identifier": "W03", "position": [1, 18], "step": 106, "ordinal_position": 107}, {"identifier": "E71", "position": [1, 17], "step": 107, "ordinal_position": 108}, {"identifier": "X89", "position": [2, 17], "step": 108, "ordinal_position": 109}, {"identifier": "M61", "position": [3, 17], "step": 109, "ordinal_position": 110}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 110, "direction": "up", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_000.json"}} {"qa_id": "66d7110f14f240c698f9bdf13d8b5ee5", "image_id": "L3-MazeLoop-test_21x21_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y88, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 278th position in this traversal?", "start_object_id": "Y88", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [278], "ordinal_strings": ["278th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "W03", "traversal_path": [{"identifier": "Y88", "position": [17, 19], "step": 0, "ordinal_position": 1}, {"identifier": "A76", "position": [18, 19], "step": 1, "ordinal_position": 2}, {"identifier": "B68", "position": [19, 19], "step": 2, "ordinal_position": 3}, {"identifier": "H80", "position": [19, 18], "step": 3, "ordinal_position": 4}, {"identifier": "Q97", "position": [19, 17], "step": 4, "ordinal_position": 5}, {"identifier": "A89", "position": [19, 16], "step": 5, "ordinal_position": 6}, {"identifier": "L40", "position": [19, 15], "step": 6, "ordinal_position": 7}, {"identifier": "T95", "position": [19, 14], "step": 7, "ordinal_position": 8}, {"identifier": "B46", "position": [19, 13], "step": 8, "ordinal_position": 9}, {"identifier": "M95", "position": [19, 12], "step": 9, "ordinal_position": 10}, {"identifier": "Q30", "position": [19, 11], "step": 10, "ordinal_position": 11}, {"identifier": "H46", "position": [18, 11], "step": 11, "ordinal_position": 12}, {"identifier": "V53", "position": [17, 11], "step": 12, "ordinal_position": 13}, {"identifier": "W29", "position": [17, 10], "step": 13, "ordinal_position": 14}, {"identifier": "B91", "position": [17, 9], "step": 14, "ordinal_position": 15}, {"identifier": "M75", "position": [18, 9], "step": 15, "ordinal_position": 16}, {"identifier": "F09", "position": [19, 9], "step": 16, "ordinal_position": 17}, {"identifier": "K63", "position": [19, 8], "step": 17, "ordinal_position": 18}, {"identifier": "V25", "position": [19, 7], "step": 18, "ordinal_position": 19}, {"identifier": "Y73", "position": [19, 6], "step": 19, "ordinal_position": 20}, {"identifier": "L50", "position": [19, 5], "step": 20, "ordinal_position": 21}, {"identifier": "S55", "position": [18, 5], "step": 21, "ordinal_position": 22}, {"identifier": "Q51", "position": [17, 5], "step": 22, "ordinal_position": 23}, {"identifier": "H86", "position": [16, 5], "step": 23, "ordinal_position": 24}, {"identifier": "R10", "position": [15, 5], "step": 24, "ordinal_position": 25}, {"identifier": "F46", "position": [14, 5], "step": 25, "ordinal_position": 26}, {"identifier": "Z67", "position": [13, 5], "step": 26, "ordinal_position": 27}, {"identifier": "I89", "position": [13, 6], "step": 27, "ordinal_position": 28}, {"identifier": "G12", "position": [13, 7], "step": 28, "ordinal_position": 29}, {"identifier": "W97", "position": [13, 8], "step": 29, "ordinal_position": 30}, {"identifier": "I13", "position": [13, 9], "step": 30, "ordinal_position": 31}, {"identifier": "F99", "position": [13, 10], "step": 31, "ordinal_position": 32}, {"identifier": "L79", "position": [13, 11], "step": 32, "ordinal_position": 33}, {"identifier": "I74", "position": [13, 12], "step": 33, "ordinal_position": 34}, {"identifier": "U38", "position": [13, 13], "step": 34, "ordinal_position": 35}, {"identifier": "Z41", "position": [13, 14], "step": 35, "ordinal_position": 36}, {"identifier": "E74", "position": [13, 15], "step": 36, "ordinal_position": 37}, {"identifier": "N65", "position": [13, 16], "step": 37, "ordinal_position": 38}, 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"ordinal_position": 269}, {"identifier": "G78", "position": [7, 18], "step": 269, "ordinal_position": 270}, {"identifier": "U25", "position": [7, 19], "step": 270, "ordinal_position": 271}, {"identifier": "U83", "position": [6, 19], "step": 271, "ordinal_position": 272}, {"identifier": "K50", "position": [5, 19], "step": 272, "ordinal_position": 273}, {"identifier": "J01", "position": [4, 19], "step": 273, "ordinal_position": 274}, {"identifier": "J83", "position": [3, 19], "step": 274, "ordinal_position": 275}, {"identifier": "E28", "position": [2, 19], "step": 275, "ordinal_position": 276}, {"identifier": "P08", "position": [1, 19], "step": 276, "ordinal_position": 277}, {"identifier": "W03", "position": [1, 18], "step": 277, "ordinal_position": 278}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 278, "direction": "right", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_000.json"}} {"qa_id": "cc5d17da6e61414a91b1f2e84c3f1246", "image_id": "L3-MazeLoop-test_21x21_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P02, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 236th position in this traversal?", "start_object_id": "P02", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [236], "ordinal_strings": ["236th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "B66", "traversal_path": [{"identifier": "P02", "position": [2, 9], "step": 0, "ordinal_position": 1}, {"identifier": "S24", "position": [1, 9], "step": 1, "ordinal_position": 2}, {"identifier": "C69", "position": [1, 8], "step": 2, "ordinal_position": 3}, {"identifier": "I84", "position": [1, 7], "step": 3, "ordinal_position": 4}, {"identifier": "S28", "position": [1, 6], "step": 4, "ordinal_position": 5}, {"identifier": "X31", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "C04", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "W79", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "Q13", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "N80", "position": [1, 1], "step": 9, "ordinal_position": 10}, {"identifier": "G45", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Z07", "position": [3, 1], "step": 11, "ordinal_position": 12}, {"identifier": "E75", "position": [4, 1], "step": 12, "ordinal_position": 13}, {"identifier": "L11", "position": [5, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Z93", "position": [6, 1], "step": 14, "ordinal_position": 15}, {"identifier": "P50", "position": [7, 1], "step": 15, "ordinal_position": 16}, {"identifier": "Q45", "position": [8, 1], "step": 16, "ordinal_position": 17}, {"identifier": "Y04", "position": [9, 1], "step": 17, "ordinal_position": 18}, {"identifier": "W46", "position": [10, 1], "step": 18, "ordinal_position": 19}, {"identifier": "Z53", "position": [11, 1], "step": 19, "ordinal_position": 20}, {"identifier": "H87", "position": [11, 2], "step": 20, "ordinal_position": 21}, {"identifier": "Z95", "position": [11, 3], "step": 21, "ordinal_position": 22}, {"identifier": "A36", "position": [12, 3], "step": 22, "ordinal_position": 23}, {"identifier": "V64", "position": [13, 3], "step": 23, "ordinal_position": 24}, {"identifier": "T62", "position": [13, 2], "step": 24, "ordinal_position": 25}, {"identifier": "P38", "position": [13, 1], "step": 25, "ordinal_position": 26}, {"identifier": "A60", "position": [14, 1], "step": 26, "ordinal_position": 27}, {"identifier": "R13", "position": [15, 1], "step": 27, "ordinal_position": 28}, {"identifier": "L46", "position": [16, 1], "step": 28, "ordinal_position": 29}, {"identifier": "R47", "position": [17, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Q98", "position": [18, 1], "step": 30, "ordinal_position": 31}, {"identifier": "D23", "position": [19, 1], "step": 31, "ordinal_position": 32}, {"identifier": "D42", "position": [19, 2], "step": 32, "ordinal_position": 33}, {"identifier": "Y35", "position": [19, 3], "step": 33, "ordinal_position": 34}, {"identifier": "M78", "position": [18, 3], "step": 34, "ordinal_position": 35}, {"identifier": "L87", "position": [17, 3], "step": 35, "ordinal_position": 36}, {"identifier": "C90", "position": [16, 3], "step": 36, "ordinal_position": 37}, {"identifier": "X97", "position": [15, 3], "step": 37, "ordinal_position": 38}, {"identifier": "E87", "position": [15, 4], "step": 38, "ordinal_position": 39}, {"identifier": "R10", "position": [15, 5], "step": 39, "ordinal_position": 40}, {"identifier": "F46", "position": [14, 5], "step": 40, "ordinal_position": 41}, {"identifier": "Z67", "position": [13, 5], "step": 41, "ordinal_position": 42}, {"identifier": "I89", "position": [13, 6], "step": 42, "ordinal_position": 43}, {"identifier": "G12", "position": [13, 7], "step": 43, "ordinal_position": 44}, {"identifier": "W97", "position": [13, 8], "step": 44, "ordinal_position": 45}, {"identifier": "I13", "position": [13, 9], "step": 45, "ordinal_position": 46}, {"identifier": "F99", "position": [13, 10], "step": 46, "ordinal_position": 47}, {"identifier": "L79", "position": [13, 11], "step": 47, "ordinal_position": 48}, {"identifier": "I74", "position": [13, 12], "step": 48, "ordinal_position": 49}, {"identifier": "U38", "position": [13, 13], "step": 49, "ordinal_position": 50}, {"identifier": "Z41", "position": [13, 14], "step": 50, "ordinal_position": 51}, {"identifier": "E74", "position": [13, 15], "step": 51, "ordinal_position": 52}, {"identifier": "N65", "position": [13, 16], "step": 52, "ordinal_position": 53}, {"identifier": "Y91", "position": [13, 17], "step": 53, "ordinal_position": 54}, {"identifier": "F67", "position": [12, 17], "step": 54, "ordinal_position": 55}, {"identifier": "U01", "position": [11, 17], "step": 55, "ordinal_position": 56}, {"identifier": "A50", "position": [10, 17], "step": 56, "ordinal_position": 57}, {"identifier": "A00", "position": [9, 17], "step": 57, "ordinal_position": 58}, {"identifier": "G28", "position": [9, 18], "step": 58, "ordinal_position": 59}, {"identifier": "G37", "position": [9, 19], "step": 59, "ordinal_position": 60}, {"identifier": "I26", "position": [8, 19], "step": 60, "ordinal_position": 61}, {"identifier": "U25", "position": [7, 19], "step": 61, "ordinal_position": 62}, {"identifier": "U83", "position": [6, 19], "step": 62, "ordinal_position": 63}, {"identifier": "K50", "position": [5, 19], "step": 63, "ordinal_position": 64}, {"identifier": "J01", "position": [4, 19], "step": 64, "ordinal_position": 65}, {"identifier": "J83", "position": [3, 19], "step": 65, "ordinal_position": 66}, {"identifier": "E28", "position": [2, 19], "step": 66, "ordinal_position": 67}, {"identifier": "P08", "position": [1, 19], "step": 67, "ordinal_position": 68}, {"identifier": "W03", "position": [1, 18], "step": 68, "ordinal_position": 69}, {"identifier": "E71", "position": [1, 17], "step": 69, "ordinal_position": 70}, {"identifier": "X89", "position": [2, 17], "step": 70, "ordinal_position": 71}, {"identifier": "M61", "position": [3, 17], "step": 71, "ordinal_position": 72}, {"identifier": "T41", "position": [4, 17], "step": 72, "ordinal_position": 73}, {"identifier": "E01", "position": [5, 17], "step": 73, "ordinal_position": 74}, {"identifier": "R00", "position": [6, 17], "step": 74, "ordinal_position": 75}, {"identifier": "B66", "position": [7, 17], "step": 75, "ordinal_position": 76}, {"identifier": "G78", "position": [7, 18], "step": 76, "ordinal_position": 77}, {"identifier": "U25", "position": [7, 19], "step": 77, "ordinal_position": 78}, {"identifier": "U83", "position": [6, 19], "step": 78, "ordinal_position": 79}, {"identifier": "K50", "position": [5, 19], "step": 79, "ordinal_position": 80}, {"identifier": "J01", "position": [4, 19], "step": 80, "ordinal_position": 81}, {"identifier": "J83", "position": [3, 19], "step": 81, "ordinal_position": 82}, {"identifier": "E28", "position": [2, 19], "step": 82, "ordinal_position": 83}, {"identifier": "P08", "position": [1, 19], "step": 83, "ordinal_position": 84}, {"identifier": "W03", "position": [1, 18], "step": 84, "ordinal_position": 85}, {"identifier": "E71", "position": [1, 17], "step": 85, "ordinal_position": 86}, {"identifier": "X89", "position": [2, 17], "step": 86, "ordinal_position": 87}, {"identifier": "M61", "position": [3, 17], "step": 87, "ordinal_position": 88}, {"identifier": "T41", "position": [4, 17], "step": 88, "ordinal_position": 89}, {"identifier": "E01", "position": [5, 17], "step": 89, "ordinal_position": 90}, {"identifier": "R00", "position": [6, 17], "step": 90, "ordinal_position": 91}, {"identifier": "B66", "position": [7, 17], "step": 91, "ordinal_position": 92}, {"identifier": "G78", "position": [7, 18], "step": 92, "ordinal_position": 93}, {"identifier": "U25", "position": [7, 19], "step": 93, "ordinal_position": 94}, {"identifier": "U83", "position": [6, 19], "step": 94, "ordinal_position": 95}, {"identifier": "K50", "position": [5, 19], "step": 95, "ordinal_position": 96}, {"identifier": "J01", "position": [4, 19], "step": 96, "ordinal_position": 97}, {"identifier": "J83", "position": [3, 19], "step": 97, "ordinal_position": 98}, {"identifier": "E28", "position": [2, 19], "step": 98, "ordinal_position": 99}, {"identifier": "P08", "position": [1, 19], "step": 99, "ordinal_position": 100}, {"identifier": "W03", "position": [1, 18], "step": 100, "ordinal_position": 101}, {"identifier": "E71", "position": [1, 17], "step": 101, "ordinal_position": 102}, {"identifier": "X89", "position": [2, 17], "step": 102, "ordinal_position": 103}, {"identifier": "M61", "position": [3, 17], "step": 103, "ordinal_position": 104}, {"identifier": "T41", "position": [4, 17], "step": 104, "ordinal_position": 105}, {"identifier": "E01", "position": [5, 17], "step": 105, "ordinal_position": 106}, {"identifier": "R00", "position": [6, 17], "step": 106, "ordinal_position": 107}, {"identifier": "B66", "position": [7, 17], "step": 107, "ordinal_position": 108}, {"identifier": "G78", "position": [7, 18], "step": 108, "ordinal_position": 109}, {"identifier": "U25", "position": [7, 19], "step": 109, "ordinal_position": 110}, {"identifier": "U83", "position": [6, 19], "step": 110, "ordinal_position": 111}, {"identifier": "K50", "position": [5, 19], "step": 111, "ordinal_position": 112}, {"identifier": "J01", "position": [4, 19], "step": 112, "ordinal_position": 113}, {"identifier": "J83", "position": [3, 19], "step": 113, "ordinal_position": 114}, {"identifier": "E28", "position": [2, 19], "step": 114, "ordinal_position": 115}, {"identifier": "P08", "position": [1, 19], "step": 115, "ordinal_position": 116}, {"identifier": "W03", "position": [1, 18], "step": 116, "ordinal_position": 117}, {"identifier": "E71", "position": [1, 17], "step": 117, "ordinal_position": 118}, {"identifier": "X89", "position": [2, 17], "step": 118, "ordinal_position": 119}, {"identifier": "M61", "position": [3, 17], "step": 119, "ordinal_position": 120}, {"identifier": "T41", "position": [4, 17], "step": 120, "ordinal_position": 121}, {"identifier": "E01", "position": [5, 17], "step": 121, "ordinal_position": 122}, {"identifier": "R00", "position": [6, 17], "step": 122, "ordinal_position": 123}, {"identifier": "B66", "position": [7, 17], "step": 123, "ordinal_position": 124}, {"identifier": "G78", "position": [7, 18], "step": 124, "ordinal_position": 125}, {"identifier": "U25", "position": [7, 19], "step": 125, "ordinal_position": 126}, {"identifier": "U83", "position": [6, 19], "step": 126, "ordinal_position": 127}, {"identifier": "K50", "position": [5, 19], "step": 127, "ordinal_position": 128}, {"identifier": "J01", "position": [4, 19], "step": 128, "ordinal_position": 129}, {"identifier": "J83", "position": [3, 19], "step": 129, "ordinal_position": 130}, {"identifier": "E28", "position": [2, 19], "step": 130, "ordinal_position": 131}, {"identifier": "P08", "position": [1, 19], "step": 131, "ordinal_position": 132}, {"identifier": "W03", "position": [1, 18], "step": 132, "ordinal_position": 133}, {"identifier": "E71", "position": [1, 17], "step": 133, "ordinal_position": 134}, {"identifier": "X89", "position": [2, 17], "step": 134, "ordinal_position": 135}, {"identifier": "M61", "position": [3, 17], "step": 135, "ordinal_position": 136}, {"identifier": "T41", "position": [4, 17], "step": 136, "ordinal_position": 137}, {"identifier": "E01", "position": [5, 17], "step": 137, "ordinal_position": 138}, {"identifier": "R00", "position": [6, 17], "step": 138, "ordinal_position": 139}, {"identifier": "B66", "position": [7, 17], "step": 139, "ordinal_position": 140}, {"identifier": "G78", "position": [7, 18], "step": 140, "ordinal_position": 141}, {"identifier": "U25", "position": [7, 19], "step": 141, "ordinal_position": 142}, {"identifier": "U83", "position": [6, 19], "step": 142, "ordinal_position": 143}, {"identifier": "K50", "position": [5, 19], "step": 143, "ordinal_position": 144}, {"identifier": "J01", "position": [4, 19], "step": 144, "ordinal_position": 145}, {"identifier": "J83", "position": [3, 19], "step": 145, "ordinal_position": 146}, {"identifier": "E28", "position": [2, 19], "step": 146, "ordinal_position": 147}, {"identifier": "P08", "position": [1, 19], "step": 147, "ordinal_position": 148}, {"identifier": "W03", "position": [1, 18], "step": 148, "ordinal_position": 149}, {"identifier": "E71", "position": [1, 17], "step": 149, "ordinal_position": 150}, {"identifier": "X89", "position": [2, 17], "step": 150, "ordinal_position": 151}, {"identifier": "M61", "position": [3, 17], "step": 151, "ordinal_position": 152}, {"identifier": "T41", "position": [4, 17], "step": 152, "ordinal_position": 153}, {"identifier": "E01", "position": [5, 17], "step": 153, "ordinal_position": 154}, {"identifier": "R00", "position": [6, 17], "step": 154, "ordinal_position": 155}, {"identifier": "B66", "position": [7, 17], "step": 155, "ordinal_position": 156}, {"identifier": "G78", "position": [7, 18], "step": 156, "ordinal_position": 157}, {"identifier": "U25", "position": [7, 19], "step": 157, "ordinal_position": 158}, {"identifier": "U83", "position": [6, 19], "step": 158, "ordinal_position": 159}, {"identifier": "K50", "position": [5, 19], "step": 159, "ordinal_position": 160}, {"identifier": "J01", "position": [4, 19], "step": 160, "ordinal_position": 161}, {"identifier": "J83", "position": [3, 19], "step": 161, "ordinal_position": 162}, {"identifier": "E28", "position": [2, 19], "step": 162, "ordinal_position": 163}, {"identifier": "P08", "position": [1, 19], "step": 163, "ordinal_position": 164}, {"identifier": "W03", "position": [1, 18], "step": 164, "ordinal_position": 165}, {"identifier": "E71", "position": [1, 17], "step": 165, "ordinal_position": 166}, {"identifier": "X89", "position": [2, 17], "step": 166, "ordinal_position": 167}, {"identifier": "M61", "position": [3, 17], "step": 167, "ordinal_position": 168}, {"identifier": "T41", "position": [4, 17], "step": 168, "ordinal_position": 169}, {"identifier": "E01", "position": [5, 17], "step": 169, "ordinal_position": 170}, {"identifier": "R00", "position": [6, 17], "step": 170, "ordinal_position": 171}, {"identifier": "B66", "position": [7, 17], "step": 171, "ordinal_position": 172}, {"identifier": "G78", "position": [7, 18], "step": 172, "ordinal_position": 173}, {"identifier": "U25", "position": [7, 19], "step": 173, "ordinal_position": 174}, {"identifier": "U83", "position": [6, 19], "step": 174, "ordinal_position": 175}, {"identifier": "K50", "position": [5, 19], "step": 175, "ordinal_position": 176}, {"identifier": "J01", "position": [4, 19], "step": 176, "ordinal_position": 177}, {"identifier": "J83", "position": [3, 19], "step": 177, "ordinal_position": 178}, {"identifier": "E28", "position": [2, 19], "step": 178, "ordinal_position": 179}, {"identifier": "P08", "position": [1, 19], "step": 179, "ordinal_position": 180}, {"identifier": "W03", "position": [1, 18], "step": 180, "ordinal_position": 181}, {"identifier": "E71", "position": [1, 17], "step": 181, "ordinal_position": 182}, {"identifier": "X89", "position": [2, 17], "step": 182, "ordinal_position": 183}, {"identifier": "M61", "position": [3, 17], "step": 183, "ordinal_position": 184}, {"identifier": "T41", "position": [4, 17], "step": 184, "ordinal_position": 185}, {"identifier": "E01", "position": [5, 17], "step": 185, "ordinal_position": 186}, {"identifier": "R00", "position": [6, 17], "step": 186, "ordinal_position": 187}, {"identifier": "B66", "position": [7, 17], "step": 187, "ordinal_position": 188}, {"identifier": "G78", "position": [7, 18], "step": 188, "ordinal_position": 189}, {"identifier": "U25", "position": [7, 19], "step": 189, "ordinal_position": 190}, {"identifier": "U83", "position": [6, 19], "step": 190, "ordinal_position": 191}, {"identifier": "K50", "position": [5, 19], "step": 191, "ordinal_position": 192}, {"identifier": "J01", "position": [4, 19], "step": 192, "ordinal_position": 193}, {"identifier": "J83", "position": [3, 19], "step": 193, "ordinal_position": 194}, {"identifier": "E28", "position": [2, 19], "step": 194, "ordinal_position": 195}, {"identifier": "P08", "position": [1, 19], "step": 195, "ordinal_position": 196}, {"identifier": "W03", "position": [1, 18], "step": 196, "ordinal_position": 197}, {"identifier": "E71", "position": [1, 17], "step": 197, "ordinal_position": 198}, {"identifier": "X89", "position": [2, 17], "step": 198, "ordinal_position": 199}, {"identifier": "M61", "position": [3, 17], "step": 199, "ordinal_position": 200}, {"identifier": "T41", "position": [4, 17], "step": 200, "ordinal_position": 201}, {"identifier": "E01", "position": [5, 17], "step": 201, "ordinal_position": 202}, {"identifier": "R00", "position": [6, 17], "step": 202, "ordinal_position": 203}, {"identifier": "B66", "position": [7, 17], "step": 203, "ordinal_position": 204}, {"identifier": "G78", "position": [7, 18], "step": 204, "ordinal_position": 205}, {"identifier": "U25", "position": [7, 19], "step": 205, "ordinal_position": 206}, {"identifier": "U83", "position": [6, 19], "step": 206, "ordinal_position": 207}, {"identifier": "K50", "position": [5, 19], "step": 207, "ordinal_position": 208}, {"identifier": "J01", "position": [4, 19], "step": 208, "ordinal_position": 209}, {"identifier": "J83", "position": [3, 19], "step": 209, "ordinal_position": 210}, {"identifier": "E28", "position": [2, 19], "step": 210, "ordinal_position": 211}, {"identifier": "P08", "position": [1, 19], "step": 211, "ordinal_position": 212}, {"identifier": "W03", "position": [1, 18], "step": 212, "ordinal_position": 213}, {"identifier": "E71", "position": [1, 17], "step": 213, "ordinal_position": 214}, {"identifier": "X89", "position": [2, 17], "step": 214, "ordinal_position": 215}, {"identifier": "M61", "position": [3, 17], "step": 215, "ordinal_position": 216}, {"identifier": "T41", "position": [4, 17], "step": 216, "ordinal_position": 217}, {"identifier": "E01", "position": [5, 17], "step": 217, "ordinal_position": 218}, {"identifier": "R00", "position": [6, 17], "step": 218, "ordinal_position": 219}, {"identifier": "B66", "position": [7, 17], "step": 219, "ordinal_position": 220}, {"identifier": "G78", "position": [7, 18], "step": 220, "ordinal_position": 221}, {"identifier": "U25", "position": [7, 19], "step": 221, "ordinal_position": 222}, {"identifier": "U83", "position": [6, 19], "step": 222, "ordinal_position": 223}, {"identifier": "K50", "position": [5, 19], "step": 223, "ordinal_position": 224}, {"identifier": "J01", "position": [4, 19], "step": 224, "ordinal_position": 225}, {"identifier": "J83", "position": [3, 19], "step": 225, "ordinal_position": 226}, {"identifier": "E28", "position": [2, 19], "step": 226, "ordinal_position": 227}, {"identifier": "P08", "position": [1, 19], "step": 227, "ordinal_position": 228}, {"identifier": "W03", "position": [1, 18], "step": 228, "ordinal_position": 229}, {"identifier": "E71", "position": [1, 17], "step": 229, "ordinal_position": 230}, {"identifier": "X89", "position": [2, 17], "step": 230, "ordinal_position": 231}, {"identifier": "M61", "position": [3, 17], "step": 231, "ordinal_position": 232}, {"identifier": "T41", "position": [4, 17], "step": 232, "ordinal_position": 233}, {"identifier": "E01", "position": [5, 17], "step": 233, "ordinal_position": 234}, {"identifier": "R00", "position": [6, 17], "step": 234, "ordinal_position": 235}, {"identifier": "B66", "position": [7, 17], "step": 235, "ordinal_position": 236}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 236, "direction": "left", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_000.json"}} {"qa_id": "6d06c7ad42eb4aeb80134aa5f7d17a00", "image_id": "L3-MazeLoop-test_21x21_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A58, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 213th position in this traversal?", "start_object_id": "A58", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [213], "ordinal_strings": ["213th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "I84", "traversal_path": [{"identifier": "A58", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "M01", "position": [4, 3], "step": 1, "ordinal_position": 2}, {"identifier": "F52", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "R83", "position": [3, 2], "step": 3, "ordinal_position": 4}, {"identifier": "Z07", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "G45", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "N80", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Q13", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "W79", "position": [1, 3], "step": 8, "ordinal_position": 9}, {"identifier": "C04", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "X31", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "S28", "position": [1, 6], "step": 11, "ordinal_position": 12}, {"identifier": "I84", "position": [1, 7], "step": 12, "ordinal_position": 13}, {"identifier": "C69", "position": [1, 8], "step": 13, "ordinal_position": 14}, {"identifier": "S24", "position": [1, 9], "step": 14, "ordinal_position": 15}, {"identifier": "U36", "position": [1, 10], "step": 15, "ordinal_position": 16}, {"identifier": "Z70", "position": [1, 11], "step": 16, "ordinal_position": 17}, {"identifier": "E70", "position": [1, 12], "step": 17, "ordinal_position": 18}, {"identifier": "D30", "position": [1, 13], "step": 18, "ordinal_position": 19}, {"identifier": "N45", "position": [1, 14], "step": 19, "ordinal_position": 20}, {"identifier": "S75", "position": [1, 15], "step": 20, "ordinal_position": 21}, {"identifier": "P04", "position": [2, 15], "step": 21, "ordinal_position": 22}, {"identifier": "S37", "position": [3, 15], "step": 22, "ordinal_position": 23}, {"identifier": "L04", "position": [3, 14], "step": 23, "ordinal_position": 24}, {"identifier": "M36", "position": [3, 13], "step": 24, "ordinal_position": 25}, {"identifier": "N69", "position": [4, 13], "step": 25, "ordinal_position": 26}, {"identifier": "Y99", "position": [5, 13], "step": 26, "ordinal_position": 27}, {"identifier": "J13", "position": [5, 14], "step": 27, "ordinal_position": 28}, {"identifier": "B59", "position": [5, 15], "step": 28, "ordinal_position": 29}, {"identifier": "D56", "position": [6, 15], "step": 29, "ordinal_position": 30}, {"identifier": "L85", "position": [7, 15], "step": 30, "ordinal_position": 31}, {"identifier": "R32", "position": [8, 15], "step": 31, "ordinal_position": 32}, {"identifier": "M38", "position": [9, 15], "step": 32, "ordinal_position": 33}, {"identifier": "N85", "position": [9, 14], "step": 33, "ordinal_position": 34}, {"identifier": "E00", "position": [9, 13], "step": 34, "ordinal_position": 35}, {"identifier": "N75", "position": [8, 13], "step": 35, "ordinal_position": 36}, {"identifier": "X95", "position": [7, 13], "step": 36, "ordinal_position": 37}, {"identifier": "T70", "position": [7, 12], "step": 37, "ordinal_position": 38}, {"identifier": "H35", "position": [7, 11], "step": 38, "ordinal_position": 39}, {"identifier": "N72", "position": [6, 11], "step": 39, "ordinal_position": 40}, {"identifier": "P25", "position": [5, 11], "step": 40, "ordinal_position": 41}, {"identifier": "D46", "position": [4, 11], "step": 41, "ordinal_position": 42}, {"identifier": "T48", "position": [3, 11], "step": 42, "ordinal_position": 43}, {"identifier": "J80", "position": [3, 10], "step": 43, "ordinal_position": 44}, {"identifier": "I11", "position": [3, 9], "step": 44, "ordinal_position": 45}, {"identifier": "J81", "position": [3, 8], "step": 45, "ordinal_position": 46}, {"identifier": "B73", "position": [3, 7], "step": 46, "ordinal_position": 47}, {"identifier": "L92", "position": [3, 6], "step": 47, "ordinal_position": 48}, {"identifier": "Q24", "position": [3, 5], "step": 48, "ordinal_position": 49}, {"identifier": "T73", "position": [2, 5], "step": 49, "ordinal_position": 50}, {"identifier": "X31", "position": [1, 5], "step": 50, "ordinal_position": 51}, {"identifier": "S28", "position": [1, 6], "step": 51, "ordinal_position": 52}, {"identifier": "I84", "position": [1, 7], "step": 52, "ordinal_position": 53}, {"identifier": "C69", "position": [1, 8], "step": 53, "ordinal_position": 54}, {"identifier": "S24", "position": [1, 9], "step": 54, "ordinal_position": 55}, {"identifier": "U36", "position": [1, 10], "step": 55, "ordinal_position": 56}, {"identifier": "Z70", "position": [1, 11], "step": 56, "ordinal_position": 57}, {"identifier": "E70", "position": [1, 12], "step": 57, "ordinal_position": 58}, {"identifier": "D30", "position": [1, 13], "step": 58, "ordinal_position": 59}, {"identifier": "N45", "position": [1, 14], "step": 59, "ordinal_position": 60}, {"identifier": "S75", "position": [1, 15], "step": 60, "ordinal_position": 61}, {"identifier": "P04", "position": [2, 15], "step": 61, "ordinal_position": 62}, {"identifier": "S37", "position": [3, 15], "step": 62, "ordinal_position": 63}, {"identifier": "L04", "position": [3, 14], "step": 63, "ordinal_position": 64}, {"identifier": "M36", "position": [3, 13], "step": 64, "ordinal_position": 65}, {"identifier": "N69", "position": [4, 13], "step": 65, "ordinal_position": 66}, {"identifier": "Y99", "position": [5, 13], "step": 66, "ordinal_position": 67}, {"identifier": "J13", "position": [5, 14], "step": 67, "ordinal_position": 68}, {"identifier": "B59", "position": [5, 15], "step": 68, "ordinal_position": 69}, {"identifier": "D56", "position": [6, 15], "step": 69, "ordinal_position": 70}, {"identifier": "L85", "position": [7, 15], "step": 70, "ordinal_position": 71}, {"identifier": "R32", "position": [8, 15], "step": 71, "ordinal_position": 72}, {"identifier": "M38", "position": [9, 15], "step": 72, "ordinal_position": 73}, {"identifier": "N85", "position": [9, 14], "step": 73, "ordinal_position": 74}, {"identifier": "E00", "position": [9, 13], "step": 74, "ordinal_position": 75}, {"identifier": "N75", "position": [8, 13], "step": 75, "ordinal_position": 76}, {"identifier": "X95", "position": [7, 13], "step": 76, "ordinal_position": 77}, {"identifier": "T70", "position": [7, 12], "step": 77, "ordinal_position": 78}, {"identifier": "H35", "position": [7, 11], "step": 78, "ordinal_position": 79}, {"identifier": "N72", "position": [6, 11], "step": 79, "ordinal_position": 80}, {"identifier": "P25", "position": [5, 11], "step": 80, "ordinal_position": 81}, {"identifier": "D46", "position": [4, 11], "step": 81, "ordinal_position": 82}, {"identifier": "T48", "position": [3, 11], "step": 82, "ordinal_position": 83}, {"identifier": "J80", "position": [3, 10], "step": 83, "ordinal_position": 84}, {"identifier": "I11", "position": [3, 9], "step": 84, "ordinal_position": 85}, {"identifier": "J81", "position": [3, 8], "step": 85, "ordinal_position": 86}, {"identifier": "B73", "position": [3, 7], "step": 86, "ordinal_position": 87}, {"identifier": "L92", "position": [3, 6], "step": 87, "ordinal_position": 88}, {"identifier": "Q24", "position": [3, 5], "step": 88, "ordinal_position": 89}, {"identifier": "T73", "position": [2, 5], "step": 89, "ordinal_position": 90}, {"identifier": "X31", "position": [1, 5], "step": 90, "ordinal_position": 91}, {"identifier": "S28", "position": [1, 6], "step": 91, "ordinal_position": 92}, {"identifier": "I84", "position": [1, 7], "step": 92, "ordinal_position": 93}, {"identifier": "C69", "position": [1, 8], "step": 93, "ordinal_position": 94}, {"identifier": "S24", "position": [1, 9], "step": 94, "ordinal_position": 95}, {"identifier": "U36", "position": [1, 10], "step": 95, "ordinal_position": 96}, {"identifier": "Z70", "position": [1, 11], "step": 96, "ordinal_position": 97}, {"identifier": "E70", "position": [1, 12], "step": 97, "ordinal_position": 98}, {"identifier": "D30", "position": [1, 13], "step": 98, "ordinal_position": 99}, {"identifier": "N45", "position": [1, 14], "step": 99, "ordinal_position": 100}, {"identifier": "S75", "position": [1, 15], "step": 100, "ordinal_position": 101}, {"identifier": "P04", "position": [2, 15], "step": 101, "ordinal_position": 102}, {"identifier": "S37", "position": [3, 15], "step": 102, "ordinal_position": 103}, {"identifier": "L04", "position": [3, 14], "step": 103, "ordinal_position": 104}, {"identifier": "M36", "position": [3, 13], "step": 104, "ordinal_position": 105}, {"identifier": "N69", "position": [4, 13], "step": 105, "ordinal_position": 106}, {"identifier": "Y99", "position": [5, 13], "step": 106, "ordinal_position": 107}, {"identifier": "J13", "position": [5, 14], "step": 107, "ordinal_position": 108}, {"identifier": "B59", "position": [5, 15], "step": 108, "ordinal_position": 109}, {"identifier": "D56", "position": [6, 15], "step": 109, "ordinal_position": 110}, {"identifier": "L85", "position": [7, 15], "step": 110, "ordinal_position": 111}, {"identifier": "R32", "position": [8, 15], "step": 111, "ordinal_position": 112}, {"identifier": "M38", "position": [9, 15], "step": 112, "ordinal_position": 113}, {"identifier": "N85", "position": [9, 14], "step": 113, "ordinal_position": 114}, {"identifier": "E00", "position": [9, 13], "step": 114, "ordinal_position": 115}, {"identifier": "N75", "position": [8, 13], "step": 115, "ordinal_position": 116}, {"identifier": "X95", "position": [7, 13], "step": 116, "ordinal_position": 117}, {"identifier": "T70", "position": [7, 12], "step": 117, "ordinal_position": 118}, {"identifier": "H35", "position": [7, 11], "step": 118, "ordinal_position": 119}, {"identifier": "N72", "position": [6, 11], "step": 119, "ordinal_position": 120}, {"identifier": "P25", "position": [5, 11], "step": 120, "ordinal_position": 121}, {"identifier": "D46", "position": [4, 11], "step": 121, "ordinal_position": 122}, {"identifier": "T48", "position": [3, 11], "step": 122, "ordinal_position": 123}, {"identifier": "J80", "position": [3, 10], "step": 123, "ordinal_position": 124}, {"identifier": "I11", "position": [3, 9], "step": 124, "ordinal_position": 125}, {"identifier": "J81", "position": [3, 8], "step": 125, "ordinal_position": 126}, {"identifier": "B73", "position": [3, 7], "step": 126, "ordinal_position": 127}, {"identifier": "L92", "position": [3, 6], "step": 127, "ordinal_position": 128}, {"identifier": "Q24", "position": [3, 5], "step": 128, "ordinal_position": 129}, {"identifier": "T73", "position": [2, 5], "step": 129, "ordinal_position": 130}, {"identifier": "X31", "position": [1, 5], "step": 130, "ordinal_position": 131}, {"identifier": "S28", "position": [1, 6], "step": 131, "ordinal_position": 132}, {"identifier": "I84", "position": [1, 7], "step": 132, "ordinal_position": 133}, {"identifier": "C69", "position": [1, 8], "step": 133, "ordinal_position": 134}, {"identifier": "S24", "position": [1, 9], "step": 134, "ordinal_position": 135}, {"identifier": "U36", "position": [1, 10], "step": 135, "ordinal_position": 136}, {"identifier": "Z70", "position": [1, 11], "step": 136, "ordinal_position": 137}, {"identifier": "E70", "position": [1, 12], "step": 137, "ordinal_position": 138}, {"identifier": "D30", "position": [1, 13], "step": 138, "ordinal_position": 139}, {"identifier": "N45", "position": [1, 14], "step": 139, "ordinal_position": 140}, {"identifier": "S75", "position": [1, 15], "step": 140, "ordinal_position": 141}, {"identifier": "P04", "position": [2, 15], "step": 141, "ordinal_position": 142}, {"identifier": "S37", "position": [3, 15], "step": 142, "ordinal_position": 143}, {"identifier": "L04", "position": [3, 14], "step": 143, "ordinal_position": 144}, {"identifier": "M36", "position": [3, 13], "step": 144, "ordinal_position": 145}, {"identifier": "N69", "position": [4, 13], "step": 145, "ordinal_position": 146}, {"identifier": "Y99", "position": [5, 13], "step": 146, "ordinal_position": 147}, {"identifier": "J13", "position": [5, 14], "step": 147, "ordinal_position": 148}, {"identifier": "B59", "position": [5, 15], "step": 148, "ordinal_position": 149}, {"identifier": "D56", "position": [6, 15], "step": 149, "ordinal_position": 150}, {"identifier": "L85", "position": [7, 15], "step": 150, "ordinal_position": 151}, {"identifier": "R32", "position": [8, 15], "step": 151, "ordinal_position": 152}, {"identifier": "M38", "position": [9, 15], "step": 152, "ordinal_position": 153}, {"identifier": "N85", "position": [9, 14], "step": 153, "ordinal_position": 154}, {"identifier": "E00", "position": [9, 13], "step": 154, "ordinal_position": 155}, {"identifier": "N75", "position": [8, 13], "step": 155, "ordinal_position": 156}, {"identifier": "X95", "position": [7, 13], "step": 156, "ordinal_position": 157}, {"identifier": "T70", "position": [7, 12], "step": 157, "ordinal_position": 158}, {"identifier": "H35", "position": [7, 11], "step": 158, "ordinal_position": 159}, {"identifier": "N72", "position": [6, 11], "step": 159, "ordinal_position": 160}, {"identifier": "P25", "position": [5, 11], "step": 160, "ordinal_position": 161}, {"identifier": "D46", "position": [4, 11], "step": 161, "ordinal_position": 162}, {"identifier": "T48", "position": [3, 11], "step": 162, "ordinal_position": 163}, {"identifier": "J80", "position": [3, 10], "step": 163, "ordinal_position": 164}, {"identifier": "I11", "position": [3, 9], "step": 164, "ordinal_position": 165}, {"identifier": "J81", "position": [3, 8], "step": 165, "ordinal_position": 166}, {"identifier": "B73", "position": [3, 7], "step": 166, "ordinal_position": 167}, {"identifier": "L92", "position": [3, 6], "step": 167, "ordinal_position": 168}, {"identifier": "Q24", "position": [3, 5], "step": 168, "ordinal_position": 169}, {"identifier": "T73", "position": [2, 5], "step": 169, "ordinal_position": 170}, {"identifier": "X31", "position": [1, 5], "step": 170, "ordinal_position": 171}, {"identifier": "S28", "position": [1, 6], "step": 171, "ordinal_position": 172}, {"identifier": "I84", "position": [1, 7], "step": 172, "ordinal_position": 173}, {"identifier": "C69", "position": [1, 8], "step": 173, "ordinal_position": 174}, {"identifier": "S24", "position": [1, 9], "step": 174, "ordinal_position": 175}, {"identifier": "U36", "position": [1, 10], "step": 175, "ordinal_position": 176}, {"identifier": "Z70", "position": [1, 11], "step": 176, "ordinal_position": 177}, {"identifier": "E70", "position": [1, 12], "step": 177, "ordinal_position": 178}, {"identifier": "D30", "position": [1, 13], "step": 178, "ordinal_position": 179}, {"identifier": "N45", "position": [1, 14], "step": 179, "ordinal_position": 180}, {"identifier": "S75", "position": [1, 15], "step": 180, "ordinal_position": 181}, {"identifier": "P04", "position": [2, 15], "step": 181, "ordinal_position": 182}, {"identifier": "S37", "position": [3, 15], "step": 182, "ordinal_position": 183}, {"identifier": "L04", "position": [3, 14], "step": 183, "ordinal_position": 184}, {"identifier": "M36", "position": [3, 13], "step": 184, "ordinal_position": 185}, {"identifier": "N69", "position": [4, 13], "step": 185, "ordinal_position": 186}, {"identifier": "Y99", "position": [5, 13], "step": 186, "ordinal_position": 187}, {"identifier": "J13", "position": [5, 14], "step": 187, "ordinal_position": 188}, {"identifier": "B59", "position": [5, 15], "step": 188, "ordinal_position": 189}, {"identifier": "D56", "position": [6, 15], "step": 189, "ordinal_position": 190}, {"identifier": "L85", "position": [7, 15], "step": 190, "ordinal_position": 191}, {"identifier": "R32", "position": [8, 15], "step": 191, "ordinal_position": 192}, {"identifier": "M38", "position": [9, 15], "step": 192, "ordinal_position": 193}, {"identifier": "N85", "position": [9, 14], "step": 193, "ordinal_position": 194}, {"identifier": "E00", "position": [9, 13], "step": 194, "ordinal_position": 195}, {"identifier": "N75", "position": [8, 13], "step": 195, "ordinal_position": 196}, {"identifier": "X95", "position": [7, 13], "step": 196, "ordinal_position": 197}, {"identifier": "T70", "position": [7, 12], "step": 197, "ordinal_position": 198}, {"identifier": "H35", "position": [7, 11], "step": 198, "ordinal_position": 199}, {"identifier": "N72", "position": [6, 11], "step": 199, "ordinal_position": 200}, {"identifier": "P25", "position": [5, 11], "step": 200, "ordinal_position": 201}, {"identifier": "D46", "position": [4, 11], "step": 201, "ordinal_position": 202}, {"identifier": "T48", "position": [3, 11], "step": 202, "ordinal_position": 203}, {"identifier": "J80", "position": [3, 10], "step": 203, "ordinal_position": 204}, {"identifier": "I11", "position": [3, 9], "step": 204, "ordinal_position": 205}, {"identifier": "J81", "position": [3, 8], "step": 205, "ordinal_position": 206}, {"identifier": "B73", "position": [3, 7], "step": 206, "ordinal_position": 207}, {"identifier": "L92", "position": [3, 6], "step": 207, "ordinal_position": 208}, {"identifier": "Q24", "position": [3, 5], "step": 208, "ordinal_position": 209}, {"identifier": "T73", "position": [2, 5], "step": 209, "ordinal_position": 210}, {"identifier": "X31", "position": [1, 5], "step": 210, "ordinal_position": 211}, {"identifier": "S28", "position": [1, 6], "step": 211, "ordinal_position": 212}, {"identifier": "I84", "position": [1, 7], "step": 212, "ordinal_position": 213}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 213, "direction": "left", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_000.json"}} {"qa_id": "d20bfa5399b94c32af288e139611c407", "image_id": "L3-MazeLoop-test_21x21_000", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R10, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 234th position in this traversal?", "start_object_id": "R10", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [234], "ordinal_strings": ["234th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M75", "traversal_path": [{"identifier": "R10", "position": [15, 5], "step": 0, "ordinal_position": 1}, {"identifier": "H86", "position": [16, 5], "step": 1, "ordinal_position": 2}, {"identifier": "Q51", "position": [17, 5], "step": 2, "ordinal_position": 3}, {"identifier": "S55", "position": [18, 5], "step": 3, "ordinal_position": 4}, {"identifier": "L50", "position": [19, 5], "step": 4, "ordinal_position": 5}, {"identifier": "Y73", "position": [19, 6], "step": 5, "ordinal_position": 6}, {"identifier": "V25", "position": [19, 7], "step": 6, "ordinal_position": 7}, {"identifier": "K63", "position": [19, 8], "step": 7, "ordinal_position": 8}, {"identifier": "F09", "position": [19, 9], "step": 8, "ordinal_position": 9}, {"identifier": "M75", "position": [18, 9], "step": 9, "ordinal_position": 10}, {"identifier": "B91", "position": [17, 9], "step": 10, "ordinal_position": 11}, {"identifier": "W29", "position": [17, 10], "step": 11, "ordinal_position": 12}, {"identifier": "V53", "position": [17, 11], "step": 12, "ordinal_position": 13}, {"identifier": "I48", "position": [17, 12], "step": 13, "ordinal_position": 14}, {"identifier": "C50", "position": [17, 13], "step": 14, "ordinal_position": 15}, {"identifier": "W99", "position": [16, 13], "step": 15, "ordinal_position": 16}, {"identifier": "G82", "position": [15, 13], "step": 16, "ordinal_position": 17}, {"identifier": "R66", "position": [15, 12], "step": 17, "ordinal_position": 18}, {"identifier": "F42", "position": [15, 11], "step": 18, "ordinal_position": 19}, {"identifier": "P76", "position": [14, 11], "step": 19, "ordinal_position": 20}, {"identifier": "L79", "position": [13, 11], "step": 20, "ordinal_position": 21}, {"identifier": "F99", "position": [13, 10], "step": 21, "ordinal_position": 22}, {"identifier": "I13", "position": [13, 9], "step": 22, "ordinal_position": 23}, {"identifier": "W97", "position": [13, 8], "step": 23, "ordinal_position": 24}, {"identifier": "G12", "position": [13, 7], "step": 24, "ordinal_position": 25}, {"identifier": "I89", "position": [13, 6], "step": 25, "ordinal_position": 26}, {"identifier": "Z67", "position": [13, 5], "step": 26, "ordinal_position": 27}, {"identifier": "F46", "position": [14, 5], "step": 27, "ordinal_position": 28}, {"identifier": "R10", "position": [15, 5], "step": 28, "ordinal_position": 29}, {"identifier": "H86", "position": [16, 5], "step": 29, "ordinal_position": 30}, {"identifier": "Q51", "position": [17, 5], "step": 30, "ordinal_position": 31}, {"identifier": "S55", "position": [18, 5], "step": 31, "ordinal_position": 32}, {"identifier": "L50", "position": [19, 5], "step": 32, "ordinal_position": 33}, {"identifier": "Y73", "position": [19, 6], "step": 33, "ordinal_position": 34}, {"identifier": "V25", "position": [19, 7], "step": 34, "ordinal_position": 35}, {"identifier": "K63", "position": [19, 8], "step": 35, "ordinal_position": 36}, {"identifier": "F09", "position": [19, 9], "step": 36, "ordinal_position": 37}, {"identifier": "M75", "position": [18, 9], "step": 37, "ordinal_position": 38}, {"identifier": "B91", "position": [17, 9], "step": 38, "ordinal_position": 39}, {"identifier": "W29", "position": [17, 10], "step": 39, "ordinal_position": 40}, {"identifier": "V53", "position": [17, 11], "step": 40, "ordinal_position": 41}, {"identifier": "I48", "position": [17, 12], "step": 41, "ordinal_position": 42}, {"identifier": "C50", "position": [17, 13], "step": 42, "ordinal_position": 43}, {"identifier": "W99", "position": [16, 13], "step": 43, "ordinal_position": 44}, {"identifier": "G82", "position": [15, 13], "step": 44, "ordinal_position": 45}, {"identifier": "R66", "position": [15, 12], "step": 45, "ordinal_position": 46}, {"identifier": "F42", "position": [15, 11], "step": 46, "ordinal_position": 47}, {"identifier": "P76", "position": [14, 11], "step": 47, "ordinal_position": 48}, {"identifier": "L79", "position": [13, 11], "step": 48, "ordinal_position": 49}, {"identifier": "F99", "position": [13, 10], "step": 49, "ordinal_position": 50}, {"identifier": "I13", "position": [13, 9], "step": 50, "ordinal_position": 51}, {"identifier": "W97", "position": [13, 8], "step": 51, "ordinal_position": 52}, {"identifier": "G12", "position": [13, 7], "step": 52, "ordinal_position": 53}, {"identifier": "I89", "position": [13, 6], "step": 53, "ordinal_position": 54}, {"identifier": "Z67", "position": [13, 5], "step": 54, "ordinal_position": 55}, {"identifier": "F46", "position": [14, 5], "step": 55, "ordinal_position": 56}, {"identifier": "R10", "position": [15, 5], "step": 56, "ordinal_position": 57}, {"identifier": "H86", "position": [16, 5], "step": 57, "ordinal_position": 58}, {"identifier": "Q51", "position": [17, 5], "step": 58, "ordinal_position": 59}, {"identifier": "S55", "position": [18, 5], "step": 59, "ordinal_position": 60}, {"identifier": "L50", "position": [19, 5], "step": 60, "ordinal_position": 61}, {"identifier": "Y73", "position": [19, 6], "step": 61, "ordinal_position": 62}, {"identifier": "V25", "position": [19, 7], "step": 62, "ordinal_position": 63}, {"identifier": "K63", "position": [19, 8], "step": 63, "ordinal_position": 64}, {"identifier": "F09", "position": [19, 9], "step": 64, "ordinal_position": 65}, {"identifier": "M75", "position": [18, 9], "step": 65, "ordinal_position": 66}, {"identifier": "B91", "position": [17, 9], "step": 66, "ordinal_position": 67}, {"identifier": "W29", "position": [17, 10], "step": 67, "ordinal_position": 68}, {"identifier": "V53", "position": [17, 11], "step": 68, "ordinal_position": 69}, {"identifier": "I48", "position": [17, 12], "step": 69, "ordinal_position": 70}, {"identifier": "C50", "position": [17, 13], "step": 70, "ordinal_position": 71}, {"identifier": "W99", "position": [16, 13], "step": 71, "ordinal_position": 72}, {"identifier": "G82", "position": [15, 13], "step": 72, "ordinal_position": 73}, {"identifier": "R66", "position": [15, 12], "step": 73, "ordinal_position": 74}, {"identifier": "F42", "position": [15, 11], "step": 74, "ordinal_position": 75}, {"identifier": "P76", "position": [14, 11], "step": 75, "ordinal_position": 76}, {"identifier": "L79", "position": [13, 11], "step": 76, "ordinal_position": 77}, {"identifier": "F99", "position": [13, 10], "step": 77, "ordinal_position": 78}, {"identifier": "I13", "position": [13, 9], "step": 78, "ordinal_position": 79}, {"identifier": "W97", "position": [13, 8], "step": 79, "ordinal_position": 80}, {"identifier": "G12", "position": [13, 7], "step": 80, "ordinal_position": 81}, {"identifier": "I89", "position": [13, 6], "step": 81, "ordinal_position": 82}, {"identifier": "Z67", "position": [13, 5], "step": 82, "ordinal_position": 83}, {"identifier": "F46", "position": [14, 5], "step": 83, "ordinal_position": 84}, {"identifier": "R10", "position": [15, 5], "step": 84, "ordinal_position": 85}, {"identifier": "H86", "position": [16, 5], "step": 85, "ordinal_position": 86}, {"identifier": "Q51", "position": [17, 5], "step": 86, "ordinal_position": 87}, {"identifier": "S55", "position": [18, 5], "step": 87, "ordinal_position": 88}, {"identifier": "L50", "position": [19, 5], "step": 88, "ordinal_position": 89}, {"identifier": "Y73", "position": [19, 6], "step": 89, "ordinal_position": 90}, {"identifier": "V25", "position": [19, 7], "step": 90, "ordinal_position": 91}, {"identifier": "K63", "position": [19, 8], "step": 91, "ordinal_position": 92}, {"identifier": "F09", "position": [19, 9], "step": 92, "ordinal_position": 93}, {"identifier": "M75", "position": [18, 9], "step": 93, "ordinal_position": 94}, {"identifier": "B91", "position": [17, 9], "step": 94, "ordinal_position": 95}, {"identifier": "W29", "position": [17, 10], "step": 95, "ordinal_position": 96}, {"identifier": "V53", "position": [17, 11], "step": 96, "ordinal_position": 97}, {"identifier": "I48", "position": [17, 12], "step": 97, "ordinal_position": 98}, {"identifier": "C50", "position": [17, 13], "step": 98, "ordinal_position": 99}, {"identifier": "W99", "position": [16, 13], "step": 99, "ordinal_position": 100}, {"identifier": "G82", "position": [15, 13], "step": 100, "ordinal_position": 101}, {"identifier": "R66", "position": [15, 12], "step": 101, "ordinal_position": 102}, {"identifier": "F42", "position": [15, 11], "step": 102, "ordinal_position": 103}, {"identifier": "P76", "position": [14, 11], "step": 103, "ordinal_position": 104}, {"identifier": "L79", "position": [13, 11], "step": 104, "ordinal_position": 105}, {"identifier": "F99", "position": [13, 10], "step": 105, "ordinal_position": 106}, {"identifier": "I13", "position": [13, 9], "step": 106, "ordinal_position": 107}, {"identifier": "W97", "position": [13, 8], "step": 107, "ordinal_position": 108}, {"identifier": "G12", "position": [13, 7], "step": 108, "ordinal_position": 109}, {"identifier": "I89", "position": [13, 6], "step": 109, "ordinal_position": 110}, {"identifier": "Z67", "position": [13, 5], "step": 110, "ordinal_position": 111}, {"identifier": "F46", "position": [14, 5], "step": 111, "ordinal_position": 112}, {"identifier": "R10", "position": [15, 5], "step": 112, "ordinal_position": 113}, {"identifier": "H86", "position": [16, 5], "step": 113, "ordinal_position": 114}, {"identifier": "Q51", "position": [17, 5], "step": 114, "ordinal_position": 115}, {"identifier": "S55", "position": [18, 5], "step": 115, "ordinal_position": 116}, {"identifier": "L50", "position": [19, 5], "step": 116, "ordinal_position": 117}, {"identifier": "Y73", "position": [19, 6], "step": 117, "ordinal_position": 118}, {"identifier": "V25", "position": [19, 7], "step": 118, "ordinal_position": 119}, {"identifier": "K63", "position": [19, 8], "step": 119, "ordinal_position": 120}, {"identifier": "F09", "position": [19, 9], "step": 120, "ordinal_position": 121}, {"identifier": "M75", "position": [18, 9], "step": 121, "ordinal_position": 122}, {"identifier": "B91", "position": [17, 9], "step": 122, "ordinal_position": 123}, {"identifier": "W29", "position": [17, 10], "step": 123, "ordinal_position": 124}, {"identifier": "V53", "position": [17, 11], "step": 124, "ordinal_position": 125}, {"identifier": "I48", "position": [17, 12], "step": 125, "ordinal_position": 126}, {"identifier": "C50", "position": [17, 13], "step": 126, "ordinal_position": 127}, {"identifier": "W99", "position": [16, 13], "step": 127, "ordinal_position": 128}, {"identifier": "G82", "position": [15, 13], "step": 128, "ordinal_position": 129}, {"identifier": "R66", "position": [15, 12], "step": 129, "ordinal_position": 130}, {"identifier": "F42", "position": [15, 11], "step": 130, "ordinal_position": 131}, {"identifier": "P76", "position": [14, 11], "step": 131, "ordinal_position": 132}, {"identifier": "L79", "position": [13, 11], "step": 132, "ordinal_position": 133}, {"identifier": "F99", "position": [13, 10], "step": 133, "ordinal_position": 134}, {"identifier": "I13", "position": [13, 9], "step": 134, "ordinal_position": 135}, {"identifier": "W97", "position": [13, 8], "step": 135, "ordinal_position": 136}, {"identifier": "G12", "position": [13, 7], "step": 136, "ordinal_position": 137}, {"identifier": "I89", "position": [13, 6], "step": 137, "ordinal_position": 138}, {"identifier": "Z67", "position": [13, 5], "step": 138, "ordinal_position": 139}, {"identifier": "F46", "position": [14, 5], "step": 139, "ordinal_position": 140}, {"identifier": "R10", "position": [15, 5], "step": 140, "ordinal_position": 141}, {"identifier": "H86", "position": [16, 5], "step": 141, "ordinal_position": 142}, {"identifier": "Q51", "position": [17, 5], "step": 142, "ordinal_position": 143}, {"identifier": "S55", "position": [18, 5], "step": 143, "ordinal_position": 144}, {"identifier": "L50", "position": [19, 5], "step": 144, "ordinal_position": 145}, {"identifier": "Y73", "position": [19, 6], "step": 145, "ordinal_position": 146}, {"identifier": "V25", "position": [19, 7], "step": 146, "ordinal_position": 147}, {"identifier": "K63", "position": [19, 8], "step": 147, "ordinal_position": 148}, {"identifier": "F09", "position": [19, 9], "step": 148, "ordinal_position": 149}, {"identifier": "M75", "position": [18, 9], "step": 149, "ordinal_position": 150}, {"identifier": "B91", "position": [17, 9], "step": 150, "ordinal_position": 151}, {"identifier": "W29", "position": [17, 10], "step": 151, "ordinal_position": 152}, {"identifier": "V53", "position": [17, 11], "step": 152, "ordinal_position": 153}, {"identifier": "I48", "position": [17, 12], "step": 153, "ordinal_position": 154}, {"identifier": "C50", "position": [17, 13], "step": 154, "ordinal_position": 155}, {"identifier": "W99", "position": [16, 13], "step": 155, "ordinal_position": 156}, {"identifier": "G82", "position": [15, 13], "step": 156, "ordinal_position": 157}, {"identifier": "R66", "position": [15, 12], "step": 157, "ordinal_position": 158}, {"identifier": "F42", "position": [15, 11], "step": 158, "ordinal_position": 159}, {"identifier": "P76", "position": [14, 11], "step": 159, "ordinal_position": 160}, {"identifier": "L79", "position": [13, 11], "step": 160, "ordinal_position": 161}, {"identifier": "F99", "position": [13, 10], "step": 161, "ordinal_position": 162}, {"identifier": "I13", "position": [13, 9], "step": 162, "ordinal_position": 163}, {"identifier": "W97", "position": [13, 8], "step": 163, "ordinal_position": 164}, {"identifier": "G12", "position": [13, 7], "step": 164, "ordinal_position": 165}, {"identifier": "I89", "position": [13, 6], "step": 165, "ordinal_position": 166}, {"identifier": "Z67", "position": [13, 5], "step": 166, "ordinal_position": 167}, {"identifier": "F46", "position": [14, 5], "step": 167, "ordinal_position": 168}, {"identifier": "R10", "position": [15, 5], "step": 168, "ordinal_position": 169}, {"identifier": "H86", "position": [16, 5], "step": 169, "ordinal_position": 170}, {"identifier": "Q51", "position": [17, 5], "step": 170, "ordinal_position": 171}, {"identifier": "S55", "position": [18, 5], "step": 171, "ordinal_position": 172}, {"identifier": "L50", "position": [19, 5], "step": 172, "ordinal_position": 173}, {"identifier": "Y73", "position": [19, 6], "step": 173, "ordinal_position": 174}, {"identifier": "V25", "position": [19, 7], "step": 174, "ordinal_position": 175}, {"identifier": "K63", "position": [19, 8], "step": 175, "ordinal_position": 176}, {"identifier": "F09", "position": [19, 9], "step": 176, "ordinal_position": 177}, {"identifier": "M75", "position": [18, 9], "step": 177, "ordinal_position": 178}, {"identifier": "B91", "position": [17, 9], "step": 178, "ordinal_position": 179}, {"identifier": "W29", "position": [17, 10], "step": 179, "ordinal_position": 180}, {"identifier": "V53", "position": [17, 11], "step": 180, "ordinal_position": 181}, {"identifier": "I48", "position": [17, 12], "step": 181, "ordinal_position": 182}, {"identifier": "C50", "position": [17, 13], "step": 182, "ordinal_position": 183}, {"identifier": "W99", "position": [16, 13], "step": 183, "ordinal_position": 184}, {"identifier": "G82", "position": [15, 13], "step": 184, "ordinal_position": 185}, {"identifier": "R66", "position": [15, 12], "step": 185, "ordinal_position": 186}, {"identifier": "F42", "position": [15, 11], "step": 186, "ordinal_position": 187}, {"identifier": "P76", "position": [14, 11], "step": 187, "ordinal_position": 188}, {"identifier": "L79", "position": [13, 11], "step": 188, "ordinal_position": 189}, {"identifier": "F99", "position": [13, 10], "step": 189, "ordinal_position": 190}, {"identifier": "I13", "position": [13, 9], "step": 190, "ordinal_position": 191}, {"identifier": "W97", "position": [13, 8], "step": 191, "ordinal_position": 192}, {"identifier": "G12", "position": [13, 7], "step": 192, "ordinal_position": 193}, {"identifier": "I89", "position": [13, 6], "step": 193, "ordinal_position": 194}, {"identifier": "Z67", "position": [13, 5], "step": 194, "ordinal_position": 195}, {"identifier": "F46", "position": [14, 5], "step": 195, "ordinal_position": 196}, {"identifier": "R10", "position": [15, 5], "step": 196, "ordinal_position": 197}, {"identifier": "H86", "position": [16, 5], "step": 197, "ordinal_position": 198}, {"identifier": "Q51", "position": [17, 5], "step": 198, "ordinal_position": 199}, {"identifier": "S55", "position": [18, 5], "step": 199, "ordinal_position": 200}, {"identifier": "L50", "position": [19, 5], "step": 200, "ordinal_position": 201}, {"identifier": "Y73", "position": [19, 6], "step": 201, "ordinal_position": 202}, {"identifier": "V25", "position": [19, 7], "step": 202, "ordinal_position": 203}, {"identifier": "K63", "position": [19, 8], "step": 203, "ordinal_position": 204}, {"identifier": "F09", "position": [19, 9], "step": 204, "ordinal_position": 205}, {"identifier": "M75", "position": [18, 9], "step": 205, "ordinal_position": 206}, {"identifier": "B91", "position": [17, 9], "step": 206, "ordinal_position": 207}, {"identifier": "W29", "position": [17, 10], "step": 207, "ordinal_position": 208}, {"identifier": "V53", "position": [17, 11], "step": 208, "ordinal_position": 209}, {"identifier": "I48", "position": [17, 12], "step": 209, "ordinal_position": 210}, {"identifier": "C50", "position": [17, 13], "step": 210, "ordinal_position": 211}, {"identifier": "W99", "position": [16, 13], "step": 211, "ordinal_position": 212}, {"identifier": "G82", "position": [15, 13], "step": 212, "ordinal_position": 213}, {"identifier": "R66", "position": [15, 12], "step": 213, "ordinal_position": 214}, {"identifier": "F42", "position": [15, 11], "step": 214, "ordinal_position": 215}, {"identifier": "P76", "position": [14, 11], "step": 215, "ordinal_position": 216}, {"identifier": "L79", "position": [13, 11], "step": 216, "ordinal_position": 217}, {"identifier": "F99", "position": [13, 10], "step": 217, "ordinal_position": 218}, {"identifier": "I13", "position": [13, 9], "step": 218, "ordinal_position": 219}, {"identifier": "W97", "position": [13, 8], "step": 219, "ordinal_position": 220}, {"identifier": "G12", "position": [13, 7], "step": 220, "ordinal_position": 221}, {"identifier": "I89", "position": [13, 6], "step": 221, "ordinal_position": 222}, {"identifier": "Z67", "position": [13, 5], "step": 222, "ordinal_position": 223}, {"identifier": "F46", "position": [14, 5], "step": 223, "ordinal_position": 224}, {"identifier": "R10", "position": [15, 5], "step": 224, "ordinal_position": 225}, {"identifier": "H86", "position": [16, 5], "step": 225, "ordinal_position": 226}, {"identifier": "Q51", "position": [17, 5], "step": 226, "ordinal_position": 227}, {"identifier": "S55", "position": [18, 5], "step": 227, "ordinal_position": 228}, {"identifier": "L50", "position": [19, 5], "step": 228, "ordinal_position": 229}, {"identifier": "Y73", "position": [19, 6], "step": 229, "ordinal_position": 230}, {"identifier": "V25", "position": [19, 7], "step": 230, "ordinal_position": 231}, {"identifier": "K63", "position": [19, 8], "step": 231, "ordinal_position": 232}, {"identifier": "F09", "position": [19, 9], "step": 232, "ordinal_position": 233}, {"identifier": "M75", "position": [18, 9], "step": 233, "ordinal_position": 234}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 234, "direction": "right", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_000.json"}} {"qa_id": "3e60f0155ef34234b7843356d977b988", "image_id": "L3-MazeLoop-test_21x21_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E13, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "E13", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "U16", "traversal_path": [{"identifier": "E13", "position": [5, 15], "step": 0, "ordinal_position": 1}, {"identifier": "U72", "position": [5, 16], "step": 1, "ordinal_position": 2}, {"identifier": "U16", "position": [5, 17], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 3, "direction": "down", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_001.json"}} {"qa_id": "5dd078153cca4b55a0d74f441ed1b01e", "image_id": "L3-MazeLoop-test_21x21_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M10, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "M10", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "G03", "traversal_path": [{"identifier": "M10", "position": [8, 15], "step": 0, "ordinal_position": 1}, {"identifier": "F12", "position": [9, 15], "step": 1, "ordinal_position": 2}, {"identifier": "M04", "position": [10, 15], "step": 2, "ordinal_position": 3}, {"identifier": "H69", "position": [11, 15], "step": 3, "ordinal_position": 4}, {"identifier": "G03", "position": [11, 14], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 5, "direction": "right", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_001.json"}} {"qa_id": "8fdea91b0e794c579949e011e361c7a2", "image_id": "L3-MazeLoop-test_21x21_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E05, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 19th position in this traversal?", "start_object_id": "E05", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [19], "ordinal_strings": ["19th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "X35", "traversal_path": [{"identifier": "E05", "position": [1, 8], "step": 0, "ordinal_position": 1}, {"identifier": "Y19", "position": [1, 7], "step": 1, "ordinal_position": 2}, {"identifier": "J81", "position": [1, 6], "step": 2, "ordinal_position": 3}, {"identifier": "Y06", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "L92", "position": [2, 5], "step": 4, "ordinal_position": 5}, {"identifier": "C62", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "J63", "position": [3, 6], "step": 6, "ordinal_position": 7}, {"identifier": "X71", "position": [3, 7], "step": 7, "ordinal_position": 8}, {"identifier": "M56", "position": [3, 8], "step": 8, "ordinal_position": 9}, {"identifier": "I91", "position": [3, 9], "step": 9, "ordinal_position": 10}, {"identifier": "Y58", "position": [3, 10], "step": 10, "ordinal_position": 11}, {"identifier": "W29", "position": [3, 11], "step": 11, "ordinal_position": 12}, {"identifier": "N93", "position": [4, 11], "step": 12, "ordinal_position": 13}, {"identifier": "I51", "position": [5, 11], "step": 13, "ordinal_position": 14}, {"identifier": "D34", "position": [6, 11], "step": 14, "ordinal_position": 15}, {"identifier": "M40", "position": [7, 11], "step": 15, "ordinal_position": 16}, {"identifier": "K37", "position": [7, 10], "step": 16, "ordinal_position": 17}, {"identifier": "M12", "position": [7, 9], "step": 17, "ordinal_position": 18}, {"identifier": "X35", "position": [7, 8], "step": 18, "ordinal_position": 19}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 19, "direction": "up", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_001.json"}} {"qa_id": "876572ead1414cf9a9903542e227771b", "image_id": "L3-MazeLoop-test_21x21_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K33, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "K33", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "K61", "traversal_path": [{"identifier": "K33", "position": [19, 11], "step": 0, "ordinal_position": 1}, {"identifier": "O76", "position": [19, 10], "step": 1, "ordinal_position": 2}, {"identifier": "I50", "position": [19, 9], "step": 2, "ordinal_position": 3}, {"identifier": "I22", "position": [19, 8], "step": 3, "ordinal_position": 4}, {"identifier": "M23", "position": [19, 7], "step": 4, "ordinal_position": 5}, {"identifier": "W57", "position": [19, 6], "step": 5, "ordinal_position": 6}, {"identifier": "K61", "position": [19, 5], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 7, "direction": "up", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_001.json"}} {"qa_id": "f17ee4fce6204b47b76a4dc83518fe5a", "image_id": "L3-MazeLoop-test_21x21_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M10, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "M10", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "H95", "traversal_path": [{"identifier": "M10", "position": [8, 15], "step": 0, "ordinal_position": 1}, {"identifier": "H95", "position": [7, 15], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 2, "direction": "left", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_001.json"}} {"qa_id": "c827ca29a46a43d0a9d65d215b9c017f", "image_id": "L3-MazeLoop-test_21x21_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U72, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 26th position in this traversal?", "start_object_id": "U72", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [26], "ordinal_strings": ["26th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "X71", "traversal_path": [{"identifier": "U72", "position": [5, 16], "step": 0, "ordinal_position": 1}, {"identifier": "U16", "position": [5, 17], "step": 1, "ordinal_position": 2}, {"identifier": "D94", "position": [4, 17], "step": 2, "ordinal_position": 3}, {"identifier": "S42", "position": [3, 17], "step": 3, "ordinal_position": 4}, {"identifier": "Y03", "position": [2, 17], "step": 4, "ordinal_position": 5}, {"identifier": "J61", "position": [1, 17], "step": 5, "ordinal_position": 6}, {"identifier": "J98", "position": [1, 16], "step": 6, "ordinal_position": 7}, {"identifier": "P53", "position": [1, 15], "step": 7, "ordinal_position": 8}, {"identifier": "R46", "position": [2, 15], "step": 8, "ordinal_position": 9}, {"identifier": "I42", "position": [3, 15], "step": 9, "ordinal_position": 10}, {"identifier": "E73", "position": [3, 14], "step": 10, "ordinal_position": 11}, {"identifier": "B53", "position": [3, 13], "step": 11, "ordinal_position": 12}, {"identifier": "J88", "position": [2, 13], "step": 12, "ordinal_position": 13}, {"identifier": "N11", "position": [1, 13], "step": 13, "ordinal_position": 14}, {"identifier": "D77", "position": [1, 12], "step": 14, "ordinal_position": 15}, {"identifier": "G95", "position": [1, 11], "step": 15, "ordinal_position": 16}, {"identifier": "D46", "position": [1, 10], "step": 16, "ordinal_position": 17}, {"identifier": "G42", "position": [1, 9], "step": 17, "ordinal_position": 18}, {"identifier": "E05", "position": [1, 8], "step": 18, "ordinal_position": 19}, {"identifier": "Y19", "position": [1, 7], "step": 19, "ordinal_position": 20}, {"identifier": "J81", "position": [1, 6], "step": 20, "ordinal_position": 21}, {"identifier": "Y06", "position": [1, 5], "step": 21, "ordinal_position": 22}, {"identifier": "L92", "position": [2, 5], "step": 22, "ordinal_position": 23}, {"identifier": "C62", "position": [3, 5], "step": 23, "ordinal_position": 24}, {"identifier": "J63", "position": [3, 6], "step": 24, "ordinal_position": 25}, {"identifier": "X71", "position": [3, 7], "step": 25, "ordinal_position": 26}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 26, "direction": "down", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_001.json"}} {"qa_id": "1b822ea07e8b45fbbf7b8b96a0fd526f", "image_id": "L3-MazeLoop-test_21x21_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K33, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 41st position in this traversal?", "start_object_id": "K33", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [41], "ordinal_strings": ["41st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "N11", "traversal_path": [{"identifier": "K33", "position": [19, 11], "step": 0, "ordinal_position": 1}, {"identifier": "M88", "position": [18, 11], "step": 1, "ordinal_position": 2}, {"identifier": "U64", "position": [17, 11], "step": 2, "ordinal_position": 3}, {"identifier": "Q02", "position": [17, 12], "step": 3, "ordinal_position": 4}, {"identifier": "H50", "position": [17, 13], "step": 4, "ordinal_position": 5}, {"identifier": "Y63", "position": [18, 13], "step": 5, "ordinal_position": 6}, {"identifier": "S87", "position": [19, 13], "step": 6, "ordinal_position": 7}, {"identifier": "N40", "position": [19, 14], "step": 7, "ordinal_position": 8}, {"identifier": "X58", "position": [19, 15], "step": 8, "ordinal_position": 9}, {"identifier": "Z30", "position": [19, 16], "step": 9, "ordinal_position": 10}, {"identifier": "Q93", "position": [19, 17], "step": 10, "ordinal_position": 11}, {"identifier": "A59", "position": [19, 18], "step": 11, "ordinal_position": 12}, {"identifier": "E69", "position": [19, 19], "step": 12, "ordinal_position": 13}, {"identifier": "D13", "position": [18, 19], "step": 13, "ordinal_position": 14}, {"identifier": "J16", "position": [17, 19], "step": 14, "ordinal_position": 15}, {"identifier": "L52", "position": [16, 19], "step": 15, "ordinal_position": 16}, {"identifier": "N13", "position": [15, 19], "step": 16, "ordinal_position": 17}, {"identifier": "U20", "position": [14, 19], "step": 17, "ordinal_position": 18}, {"identifier": "Q32", "position": [13, 19], "step": 18, "ordinal_position": 19}, {"identifier": "W18", "position": [12, 19], "step": 19, "ordinal_position": 20}, {"identifier": "P99", "position": [11, 19], "step": 20, "ordinal_position": 21}, {"identifier": "I68", "position": [10, 19], "step": 21, "ordinal_position": 22}, {"identifier": "R58", "position": [9, 19], "step": 22, "ordinal_position": 23}, {"identifier": "D70", "position": [8, 19], "step": 23, "ordinal_position": 24}, {"identifier": "L50", "position": [7, 19], "step": 24, "ordinal_position": 25}, {"identifier": "N60", "position": [6, 19], "step": 25, "ordinal_position": 26}, {"identifier": "P48", "position": [5, 19], "step": 26, "ordinal_position": 27}, {"identifier": "O71", "position": [4, 19], "step": 27, "ordinal_position": 28}, {"identifier": "C90", "position": [3, 19], "step": 28, "ordinal_position": 29}, {"identifier": "Q17", "position": [2, 19], "step": 29, "ordinal_position": 30}, {"identifier": "N87", "position": [1, 19], "step": 30, "ordinal_position": 31}, {"identifier": "G82", "position": [1, 18], "step": 31, "ordinal_position": 32}, {"identifier": "J61", "position": [1, 17], "step": 32, "ordinal_position": 33}, {"identifier": "J98", "position": [1, 16], "step": 33, "ordinal_position": 34}, {"identifier": "P53", "position": [1, 15], "step": 34, "ordinal_position": 35}, {"identifier": "R46", "position": [2, 15], "step": 35, "ordinal_position": 36}, {"identifier": "I42", "position": [3, 15], "step": 36, "ordinal_position": 37}, {"identifier": "E73", "position": [3, 14], "step": 37, "ordinal_position": 38}, {"identifier": "B53", "position": [3, 13], "step": 38, "ordinal_position": 39}, {"identifier": "J88", "position": [2, 13], "step": 39, "ordinal_position": 40}, {"identifier": "N11", "position": [1, 13], "step": 40, "ordinal_position": 41}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 41, "direction": "left", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_001.json"}} {"qa_id": "244127cc0af4442fab200aef75d435db", "image_id": "L3-MazeLoop-test_21x21_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J61, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 69th position in this traversal?", "start_object_id": "J61", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [69], "ordinal_strings": ["69th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "L50", "traversal_path": [{"identifier": "J61", "position": [1, 17], "step": 0, "ordinal_position": 1}, {"identifier": "G82", "position": [1, 18], "step": 1, "ordinal_position": 2}, {"identifier": "N87", "position": [1, 19], "step": 2, "ordinal_position": 3}, {"identifier": "Q17", "position": [2, 19], "step": 3, "ordinal_position": 4}, {"identifier": "C90", "position": [3, 19], "step": 4, "ordinal_position": 5}, {"identifier": "O71", "position": [4, 19], "step": 5, "ordinal_position": 6}, {"identifier": "P48", "position": [5, 19], "step": 6, "ordinal_position": 7}, {"identifier": "N60", "position": [6, 19], "step": 7, "ordinal_position": 8}, {"identifier": "L50", "position": [7, 19], "step": 8, "ordinal_position": 9}, {"identifier": "D70", "position": [8, 19], "step": 9, "ordinal_position": 10}, {"identifier": "R58", "position": [9, 19], "step": 10, "ordinal_position": 11}, {"identifier": "I68", "position": [10, 19], "step": 11, "ordinal_position": 12}, {"identifier": "P99", "position": [11, 19], "step": 12, "ordinal_position": 13}, {"identifier": "W18", "position": [12, 19], "step": 13, "ordinal_position": 14}, {"identifier": "Q32", "position": [13, 19], "step": 14, "ordinal_position": 15}, {"identifier": "U20", "position": [14, 19], "step": 15, "ordinal_position": 16}, {"identifier": "N13", "position": [15, 19], "step": 16, "ordinal_position": 17}, {"identifier": "L52", "position": [16, 19], "step": 17, "ordinal_position": 18}, {"identifier": "J16", "position": [17, 19], "step": 18, "ordinal_position": 19}, {"identifier": "D13", "position": [18, 19], "step": 19, "ordinal_position": 20}, {"identifier": "E69", "position": [19, 19], "step": 20, "ordinal_position": 21}, {"identifier": "A59", "position": [19, 18], "step": 21, "ordinal_position": 22}, {"identifier": "Q93", "position": [19, 17], "step": 22, "ordinal_position": 23}, {"identifier": "Z30", "position": [19, 16], "step": 23, "ordinal_position": 24}, {"identifier": "X58", "position": [19, 15], "step": 24, "ordinal_position": 25}, {"identifier": "N40", "position": [19, 14], "step": 25, "ordinal_position": 26}, {"identifier": "S87", "position": [19, 13], "step": 26, "ordinal_position": 27}, {"identifier": "Y63", "position": [18, 13], "step": 27, "ordinal_position": 28}, {"identifier": "H50", "position": [17, 13], "step": 28, "ordinal_position": 29}, {"identifier": "Q02", "position": [17, 12], "step": 29, "ordinal_position": 30}, {"identifier": "U64", "position": [17, 11], "step": 30, "ordinal_position": 31}, {"identifier": "C67", "position": [17, 10], "step": 31, "ordinal_position": 32}, {"identifier": "Z04", "position": [17, 9], "step": 32, "ordinal_position": 33}, {"identifier": "X11", "position": [16, 9], "step": 33, "ordinal_position": 34}, {"identifier": "A83", "position": [15, 9], "step": 34, "ordinal_position": 35}, {"identifier": "S67", "position": [15, 10], "step": 35, "ordinal_position": 36}, {"identifier": "Q45", "position": [15, 11], "step": 36, "ordinal_position": 37}, {"identifier": "Z07", "position": [14, 11], "step": 37, "ordinal_position": 38}, {"identifier": "R04", "position": [13, 11], "step": 38, "ordinal_position": 39}, {"identifier": "I81", "position": [12, 11], "step": 39, "ordinal_position": 40}, {"identifier": "E41", "position": [11, 11], "step": 40, "ordinal_position": 41}, {"identifier": "B62", "position": [11, 12], "step": 41, "ordinal_position": 42}, {"identifier": "P57", "position": [11, 13], "step": 42, "ordinal_position": 43}, {"identifier": "G03", "position": [11, 14], "step": 43, "ordinal_position": 44}, {"identifier": "H69", "position": [11, 15], "step": 44, "ordinal_position": 45}, {"identifier": "M04", "position": [10, 15], "step": 45, "ordinal_position": 46}, {"identifier": "F12", "position": [9, 15], "step": 46, "ordinal_position": 47}, {"identifier": "M10", "position": [8, 15], "step": 47, "ordinal_position": 48}, {"identifier": "H95", "position": [7, 15], "step": 48, "ordinal_position": 49}, {"identifier": "Y73", "position": [7, 14], "step": 49, "ordinal_position": 50}, {"identifier": "K91", "position": [7, 13], "step": 50, "ordinal_position": 51}, {"identifier": "X13", "position": [6, 13], "step": 51, "ordinal_position": 52}, {"identifier": "W96", "position": [5, 13], "step": 52, "ordinal_position": 53}, {"identifier": "G31", "position": [5, 14], "step": 53, "ordinal_position": 54}, {"identifier": "E13", "position": [5, 15], "step": 54, "ordinal_position": 55}, {"identifier": "U72", "position": [5, 16], "step": 55, "ordinal_position": 56}, {"identifier": "U16", "position": [5, 17], "step": 56, "ordinal_position": 57}, {"identifier": "D94", "position": [4, 17], "step": 57, "ordinal_position": 58}, {"identifier": "S42", "position": [3, 17], "step": 58, "ordinal_position": 59}, {"identifier": "Y03", "position": [2, 17], "step": 59, "ordinal_position": 60}, {"identifier": "J61", "position": [1, 17], "step": 60, "ordinal_position": 61}, {"identifier": "G82", "position": [1, 18], "step": 61, "ordinal_position": 62}, {"identifier": "N87", "position": [1, 19], "step": 62, "ordinal_position": 63}, {"identifier": "Q17", "position": [2, 19], "step": 63, "ordinal_position": 64}, {"identifier": "C90", "position": [3, 19], "step": 64, "ordinal_position": 65}, {"identifier": "O71", "position": [4, 19], "step": 65, "ordinal_position": 66}, {"identifier": "P48", "position": [5, 19], "step": 66, "ordinal_position": 67}, {"identifier": "N60", "position": [6, 19], "step": 67, "ordinal_position": 68}, {"identifier": "L50", "position": [7, 19], "step": 68, "ordinal_position": 69}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 69, "direction": "down", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_001.json"}} {"qa_id": "9451e9c9c4234313a1898ec9cb2a19f0", "image_id": "L3-MazeLoop-test_21x21_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M40, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 37th position in this traversal?", "start_object_id": "M40", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [37], "ordinal_strings": ["37th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "X58", "traversal_path": [{"identifier": "M40", "position": [7, 11], "step": 0, "ordinal_position": 1}, {"identifier": "K37", "position": [7, 10], "step": 1, "ordinal_position": 2}, {"identifier": "M12", "position": [7, 9], "step": 2, "ordinal_position": 3}, {"identifier": "X35", "position": [7, 8], "step": 3, "ordinal_position": 4}, {"identifier": "K92", "position": [7, 7], "step": 4, "ordinal_position": 5}, {"identifier": "X75", "position": [8, 7], "step": 5, "ordinal_position": 6}, {"identifier": "B11", "position": [9, 7], "step": 6, "ordinal_position": 7}, {"identifier": "N96", "position": [9, 8], "step": 7, "ordinal_position": 8}, {"identifier": "P49", "position": [9, 9], "step": 8, "ordinal_position": 9}, {"identifier": "K97", "position": [9, 10], "step": 9, "ordinal_position": 10}, {"identifier": "C96", "position": [9, 11], "step": 10, "ordinal_position": 11}, {"identifier": "D07", "position": [9, 12], "step": 11, "ordinal_position": 12}, {"identifier": "I15", "position": [9, 13], "step": 12, "ordinal_position": 13}, {"identifier": "E66", "position": [9, 14], "step": 13, "ordinal_position": 14}, {"identifier": "F12", "position": [9, 15], "step": 14, "ordinal_position": 15}, {"identifier": "M04", "position": [10, 15], "step": 15, "ordinal_position": 16}, {"identifier": "H69", "position": [11, 15], "step": 16, "ordinal_position": 17}, {"identifier": "G03", "position": [11, 14], "step": 17, "ordinal_position": 18}, {"identifier": "P57", "position": [11, 13], "step": 18, "ordinal_position": 19}, {"identifier": "B62", "position": [11, 12], "step": 19, "ordinal_position": 20}, {"identifier": "E41", "position": [11, 11], "step": 20, "ordinal_position": 21}, {"identifier": "I81", "position": [12, 11], "step": 21, "ordinal_position": 22}, {"identifier": "R04", "position": [13, 11], "step": 22, "ordinal_position": 23}, {"identifier": "Z07", "position": [14, 11], "step": 23, "ordinal_position": 24}, {"identifier": "Q45", "position": [15, 11], "step": 24, "ordinal_position": 25}, {"identifier": "S67", "position": [15, 10], "step": 25, "ordinal_position": 26}, {"identifier": "A83", "position": [15, 9], "step": 26, "ordinal_position": 27}, {"identifier": "X11", "position": [16, 9], "step": 27, "ordinal_position": 28}, {"identifier": "Z04", "position": [17, 9], "step": 28, "ordinal_position": 29}, {"identifier": "C67", "position": [17, 10], "step": 29, "ordinal_position": 30}, {"identifier": "U64", "position": [17, 11], "step": 30, "ordinal_position": 31}, {"identifier": "Q02", "position": [17, 12], "step": 31, "ordinal_position": 32}, {"identifier": "H50", "position": [17, 13], "step": 32, "ordinal_position": 33}, {"identifier": "Y63", "position": [18, 13], "step": 33, "ordinal_position": 34}, {"identifier": "S87", "position": [19, 13], "step": 34, "ordinal_position": 35}, {"identifier": "N40", "position": [19, 14], "step": 35, "ordinal_position": 36}, {"identifier": "X58", "position": [19, 15], "step": 36, "ordinal_position": 37}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 37, "direction": "up", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_001.json"}} {"qa_id": "27fe787ed8154d78a78788fc72a7411d", "image_id": "L3-MazeLoop-test_21x21_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z84, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 73rd position in this traversal?", "start_object_id": "Z84", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [73], "ordinal_strings": ["73rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "P49", "traversal_path": [{"identifier": "Z84", "position": [15, 3], "step": 0, "ordinal_position": 1}, {"identifier": "W23", "position": [15, 4], "step": 1, "ordinal_position": 2}, {"identifier": "D33", "position": [15, 5], "step": 2, "ordinal_position": 3}, {"identifier": "M58", "position": [16, 5], "step": 3, "ordinal_position": 4}, {"identifier": "F53", "position": [17, 5], "step": 4, "ordinal_position": 5}, {"identifier": "H65", "position": [18, 5], "step": 5, "ordinal_position": 6}, {"identifier": "K61", "position": [19, 5], "step": 6, "ordinal_position": 7}, {"identifier": "W57", "position": [19, 6], "step": 7, "ordinal_position": 8}, {"identifier": "M23", "position": [19, 7], "step": 8, "ordinal_position": 9}, {"identifier": "I22", "position": [19, 8], "step": 9, "ordinal_position": 10}, {"identifier": "I50", "position": [19, 9], "step": 10, "ordinal_position": 11}, {"identifier": "O76", "position": [19, 10], "step": 11, "ordinal_position": 12}, {"identifier": "K33", "position": [19, 11], "step": 12, "ordinal_position": 13}, {"identifier": "M88", "position": [18, 11], "step": 13, "ordinal_position": 14}, {"identifier": "U64", "position": [17, 11], "step": 14, "ordinal_position": 15}, {"identifier": "C67", "position": [17, 10], "step": 15, "ordinal_position": 16}, {"identifier": "Z04", "position": [17, 9], "step": 16, "ordinal_position": 17}, {"identifier": "X11", "position": [16, 9], "step": 17, "ordinal_position": 18}, {"identifier": "A83", "position": [15, 9], "step": 18, "ordinal_position": 19}, {"identifier": "S67", "position": [15, 10], "step": 19, "ordinal_position": 20}, {"identifier": "Q45", "position": [15, 11], "step": 20, "ordinal_position": 21}, {"identifier": "Z07", "position": [14, 11], "step": 21, "ordinal_position": 22}, {"identifier": "R04", "position": [13, 11], "step": 22, "ordinal_position": 23}, {"identifier": "I81", "position": [12, 11], "step": 23, "ordinal_position": 24}, {"identifier": "E41", "position": [11, 11], "step": 24, "ordinal_position": 25}, {"identifier": "B62", "position": [11, 12], "step": 25, "ordinal_position": 26}, {"identifier": "P57", "position": [11, 13], "step": 26, "ordinal_position": 27}, {"identifier": "G03", "position": [11, 14], "step": 27, "ordinal_position": 28}, {"identifier": "H69", "position": [11, 15], "step": 28, "ordinal_position": 29}, {"identifier": "M04", "position": [10, 15], "step": 29, "ordinal_position": 30}, {"identifier": "F12", "position": [9, 15], "step": 30, "ordinal_position": 31}, {"identifier": "M10", "position": [8, 15], "step": 31, "ordinal_position": 32}, {"identifier": "H95", "position": [7, 15], "step": 32, "ordinal_position": 33}, {"identifier": "Y73", "position": [7, 14], "step": 33, "ordinal_position": 34}, {"identifier": "K91", "position": [7, 13], "step": 34, "ordinal_position": 35}, {"identifier": "X13", "position": [6, 13], "step": 35, "ordinal_position": 36}, {"identifier": "W96", "position": [5, 13], "step": 36, "ordinal_position": 37}, {"identifier": "R24", "position": [5, 12], "step": 37, "ordinal_position": 38}, {"identifier": "I51", "position": [5, 11], "step": 38, "ordinal_position": 39}, {"identifier": "D34", "position": [6, 11], "step": 39, "ordinal_position": 40}, {"identifier": "M40", "position": [7, 11], "step": 40, "ordinal_position": 41}, {"identifier": "K37", "position": [7, 10], "step": 41, "ordinal_position": 42}, {"identifier": "M12", "position": [7, 9], "step": 42, "ordinal_position": 43}, {"identifier": "X35", "position": [7, 8], "step": 43, "ordinal_position": 44}, {"identifier": "K92", "position": [7, 7], "step": 44, "ordinal_position": 45}, {"identifier": "X75", "position": [8, 7], "step": 45, "ordinal_position": 46}, {"identifier": "B11", "position": [9, 7], "step": 46, "ordinal_position": 47}, {"identifier": "N96", "position": [9, 8], "step": 47, "ordinal_position": 48}, {"identifier": "P49", "position": [9, 9], "step": 48, "ordinal_position": 49}, {"identifier": "K97", "position": [9, 10], "step": 49, "ordinal_position": 50}, {"identifier": "C96", "position": [9, 11], "step": 50, "ordinal_position": 51}, {"identifier": "D07", "position": [9, 12], "step": 51, "ordinal_position": 52}, {"identifier": "I15", "position": [9, 13], "step": 52, "ordinal_position": 53}, {"identifier": "E66", "position": [9, 14], "step": 53, "ordinal_position": 54}, {"identifier": "F12", "position": [9, 15], "step": 54, "ordinal_position": 55}, {"identifier": "M10", "position": [8, 15], "step": 55, "ordinal_position": 56}, {"identifier": "H95", "position": [7, 15], "step": 56, "ordinal_position": 57}, {"identifier": "Y73", "position": [7, 14], "step": 57, "ordinal_position": 58}, {"identifier": "K91", "position": [7, 13], "step": 58, "ordinal_position": 59}, {"identifier": "X13", "position": [6, 13], "step": 59, "ordinal_position": 60}, {"identifier": "W96", "position": [5, 13], "step": 60, "ordinal_position": 61}, {"identifier": "R24", "position": [5, 12], "step": 61, "ordinal_position": 62}, {"identifier": "I51", "position": [5, 11], "step": 62, "ordinal_position": 63}, {"identifier": "D34", "position": [6, 11], "step": 63, "ordinal_position": 64}, {"identifier": "M40", "position": [7, 11], "step": 64, "ordinal_position": 65}, {"identifier": "K37", "position": [7, 10], "step": 65, "ordinal_position": 66}, {"identifier": "M12", "position": [7, 9], "step": 66, "ordinal_position": 67}, {"identifier": "X35", "position": [7, 8], "step": 67, "ordinal_position": 68}, {"identifier": "K92", "position": [7, 7], "step": 68, "ordinal_position": 69}, {"identifier": "X75", "position": [8, 7], "step": 69, "ordinal_position": 70}, {"identifier": "B11", "position": [9, 7], "step": 70, "ordinal_position": 71}, {"identifier": "N96", "position": [9, 8], "step": 71, "ordinal_position": 72}, {"identifier": "P49", "position": [9, 9], "step": 72, "ordinal_position": 73}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 73, "direction": "down", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_001.json"}} {"qa_id": "b56a8c46231a476bbd41b345fb7c3211", "image_id": "L3-MazeLoop-test_21x21_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R04, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 157th position in this traversal?", "start_object_id": "R04", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [157], "ordinal_strings": ["157th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "K91", "traversal_path": [{"identifier": "R04", "position": [13, 11], "step": 0, "ordinal_position": 1}, {"identifier": "I81", "position": [12, 11], "step": 1, "ordinal_position": 2}, {"identifier": "E41", "position": [11, 11], "step": 2, "ordinal_position": 3}, {"identifier": "B62", "position": [11, 12], "step": 3, "ordinal_position": 4}, {"identifier": "P57", "position": [11, 13], "step": 4, "ordinal_position": 5}, {"identifier": "G03", "position": [11, 14], "step": 5, "ordinal_position": 6}, {"identifier": "H69", "position": [11, 15], "step": 6, "ordinal_position": 7}, {"identifier": "M04", "position": [10, 15], "step": 7, "ordinal_position": 8}, {"identifier": "F12", "position": [9, 15], "step": 8, "ordinal_position": 9}, {"identifier": "M10", "position": [8, 15], "step": 9, "ordinal_position": 10}, {"identifier": "H95", "position": [7, 15], "step": 10, "ordinal_position": 11}, {"identifier": "Y73", "position": [7, 14], "step": 11, "ordinal_position": 12}, {"identifier": "K91", "position": [7, 13], "step": 12, "ordinal_position": 13}, {"identifier": "X13", "position": [6, 13], "step": 13, "ordinal_position": 14}, {"identifier": "W96", "position": [5, 13], "step": 14, "ordinal_position": 15}, {"identifier": "R24", "position": [5, 12], "step": 15, "ordinal_position": 16}, {"identifier": "I51", "position": [5, 11], "step": 16, "ordinal_position": 17}, {"identifier": "D34", "position": [6, 11], "step": 17, "ordinal_position": 18}, {"identifier": "M40", "position": [7, 11], "step": 18, "ordinal_position": 19}, {"identifier": "K37", "position": [7, 10], "step": 19, "ordinal_position": 20}, {"identifier": "M12", "position": [7, 9], "step": 20, "ordinal_position": 21}, {"identifier": "X35", "position": [7, 8], "step": 21, "ordinal_position": 22}, {"identifier": "K92", "position": [7, 7], "step": 22, "ordinal_position": 23}, {"identifier": "X75", "position": [8, 7], "step": 23, "ordinal_position": 24}, {"identifier": "B11", "position": [9, 7], "step": 24, "ordinal_position": 25}, {"identifier": "N96", "position": [9, 8], "step": 25, "ordinal_position": 26}, {"identifier": "P49", "position": [9, 9], "step": 26, "ordinal_position": 27}, {"identifier": "K97", "position": [9, 10], "step": 27, "ordinal_position": 28}, {"identifier": "C96", "position": [9, 11], "step": 28, "ordinal_position": 29}, {"identifier": "D07", "position": [9, 12], "step": 29, "ordinal_position": 30}, {"identifier": "I15", "position": [9, 13], "step": 30, "ordinal_position": 31}, {"identifier": "E66", "position": [9, 14], "step": 31, "ordinal_position": 32}, {"identifier": "F12", "position": [9, 15], "step": 32, "ordinal_position": 33}, {"identifier": "M10", "position": [8, 15], "step": 33, "ordinal_position": 34}, {"identifier": "H95", "position": [7, 15], "step": 34, "ordinal_position": 35}, {"identifier": "Y73", "position": [7, 14], "step": 35, "ordinal_position": 36}, {"identifier": "K91", "position": [7, 13], "step": 36, "ordinal_position": 37}, {"identifier": "X13", "position": [6, 13], "step": 37, "ordinal_position": 38}, {"identifier": "W96", "position": [5, 13], "step": 38, "ordinal_position": 39}, {"identifier": "R24", "position": [5, 12], "step": 39, "ordinal_position": 40}, {"identifier": "I51", "position": [5, 11], "step": 40, "ordinal_position": 41}, {"identifier": "D34", "position": [6, 11], "step": 41, "ordinal_position": 42}, {"identifier": "M40", "position": [7, 11], "step": 42, "ordinal_position": 43}, {"identifier": "K37", "position": [7, 10], "step": 43, "ordinal_position": 44}, {"identifier": "M12", "position": [7, 9], "step": 44, "ordinal_position": 45}, {"identifier": "X35", "position": [7, 8], "step": 45, "ordinal_position": 46}, {"identifier": "K92", "position": [7, 7], "step": 46, "ordinal_position": 47}, {"identifier": "X75", "position": [8, 7], "step": 47, "ordinal_position": 48}, {"identifier": "B11", "position": [9, 7], "step": 48, "ordinal_position": 49}, {"identifier": "N96", "position": [9, 8], "step": 49, "ordinal_position": 50}, {"identifier": "P49", "position": [9, 9], "step": 50, "ordinal_position": 51}, {"identifier": "K97", "position": [9, 10], "step": 51, "ordinal_position": 52}, {"identifier": "C96", "position": [9, 11], "step": 52, "ordinal_position": 53}, {"identifier": "D07", "position": [9, 12], "step": 53, "ordinal_position": 54}, {"identifier": "I15", "position": [9, 13], "step": 54, "ordinal_position": 55}, {"identifier": "E66", "position": [9, 14], "step": 55, "ordinal_position": 56}, {"identifier": "F12", "position": [9, 15], "step": 56, "ordinal_position": 57}, {"identifier": "M10", "position": [8, 15], "step": 57, "ordinal_position": 58}, {"identifier": "H95", "position": [7, 15], "step": 58, "ordinal_position": 59}, {"identifier": "Y73", "position": [7, 14], "step": 59, "ordinal_position": 60}, {"identifier": "K91", "position": [7, 13], "step": 60, "ordinal_position": 61}, {"identifier": "X13", "position": [6, 13], "step": 61, "ordinal_position": 62}, {"identifier": "W96", "position": [5, 13], "step": 62, "ordinal_position": 63}, {"identifier": "R24", "position": [5, 12], "step": 63, "ordinal_position": 64}, {"identifier": "I51", "position": [5, 11], "step": 64, "ordinal_position": 65}, {"identifier": "D34", "position": [6, 11], "step": 65, "ordinal_position": 66}, {"identifier": "M40", "position": [7, 11], "step": 66, "ordinal_position": 67}, {"identifier": "K37", "position": [7, 10], "step": 67, "ordinal_position": 68}, {"identifier": "M12", "position": [7, 9], "step": 68, "ordinal_position": 69}, {"identifier": "X35", "position": [7, 8], "step": 69, "ordinal_position": 70}, {"identifier": "K92", "position": [7, 7], "step": 70, "ordinal_position": 71}, {"identifier": "X75", "position": [8, 7], "step": 71, "ordinal_position": 72}, {"identifier": "B11", "position": [9, 7], "step": 72, "ordinal_position": 73}, {"identifier": "N96", "position": [9, 8], "step": 73, "ordinal_position": 74}, {"identifier": "P49", "position": [9, 9], "step": 74, "ordinal_position": 75}, {"identifier": "K97", "position": [9, 10], "step": 75, "ordinal_position": 76}, {"identifier": "C96", "position": [9, 11], "step": 76, "ordinal_position": 77}, {"identifier": "D07", "position": [9, 12], "step": 77, "ordinal_position": 78}, {"identifier": "I15", "position": [9, 13], "step": 78, "ordinal_position": 79}, {"identifier": "E66", "position": [9, 14], "step": 79, "ordinal_position": 80}, {"identifier": "F12", "position": [9, 15], "step": 80, "ordinal_position": 81}, {"identifier": "M10", "position": [8, 15], "step": 81, "ordinal_position": 82}, {"identifier": "H95", "position": [7, 15], "step": 82, "ordinal_position": 83}, {"identifier": "Y73", "position": [7, 14], "step": 83, "ordinal_position": 84}, {"identifier": "K91", "position": [7, 13], "step": 84, "ordinal_position": 85}, {"identifier": "X13", "position": [6, 13], "step": 85, "ordinal_position": 86}, {"identifier": "W96", "position": [5, 13], "step": 86, "ordinal_position": 87}, {"identifier": "R24", "position": [5, 12], "step": 87, "ordinal_position": 88}, {"identifier": "I51", "position": [5, 11], "step": 88, "ordinal_position": 89}, {"identifier": "D34", "position": [6, 11], "step": 89, "ordinal_position": 90}, {"identifier": "M40", "position": [7, 11], "step": 90, "ordinal_position": 91}, {"identifier": "K37", "position": [7, 10], "step": 91, "ordinal_position": 92}, {"identifier": "M12", "position": [7, 9], "step": 92, "ordinal_position": 93}, {"identifier": "X35", "position": [7, 8], "step": 93, "ordinal_position": 94}, {"identifier": "K92", "position": [7, 7], "step": 94, "ordinal_position": 95}, {"identifier": "X75", "position": [8, 7], "step": 95, "ordinal_position": 96}, {"identifier": "B11", "position": [9, 7], "step": 96, "ordinal_position": 97}, {"identifier": "N96", "position": [9, 8], "step": 97, "ordinal_position": 98}, {"identifier": "P49", "position": [9, 9], "step": 98, "ordinal_position": 99}, {"identifier": "K97", "position": [9, 10], "step": 99, "ordinal_position": 100}, {"identifier": "C96", "position": [9, 11], "step": 100, "ordinal_position": 101}, {"identifier": "D07", "position": [9, 12], "step": 101, "ordinal_position": 102}, {"identifier": "I15", "position": [9, 13], "step": 102, "ordinal_position": 103}, {"identifier": "E66", "position": [9, 14], "step": 103, "ordinal_position": 104}, {"identifier": "F12", "position": [9, 15], "step": 104, "ordinal_position": 105}, {"identifier": "M10", "position": [8, 15], "step": 105, "ordinal_position": 106}, {"identifier": "H95", "position": [7, 15], "step": 106, "ordinal_position": 107}, {"identifier": "Y73", "position": [7, 14], "step": 107, "ordinal_position": 108}, {"identifier": "K91", "position": [7, 13], "step": 108, "ordinal_position": 109}, {"identifier": "X13", "position": [6, 13], "step": 109, "ordinal_position": 110}, {"identifier": "W96", "position": [5, 13], "step": 110, "ordinal_position": 111}, {"identifier": "R24", "position": [5, 12], "step": 111, "ordinal_position": 112}, {"identifier": "I51", "position": [5, 11], "step": 112, "ordinal_position": 113}, {"identifier": "D34", "position": [6, 11], "step": 113, "ordinal_position": 114}, {"identifier": "M40", "position": [7, 11], "step": 114, "ordinal_position": 115}, {"identifier": "K37", "position": [7, 10], "step": 115, "ordinal_position": 116}, {"identifier": "M12", "position": [7, 9], "step": 116, "ordinal_position": 117}, {"identifier": "X35", "position": [7, 8], "step": 117, "ordinal_position": 118}, {"identifier": "K92", "position": [7, 7], "step": 118, "ordinal_position": 119}, {"identifier": "X75", "position": [8, 7], "step": 119, "ordinal_position": 120}, {"identifier": "B11", "position": [9, 7], "step": 120, "ordinal_position": 121}, {"identifier": "N96", "position": [9, 8], "step": 121, "ordinal_position": 122}, {"identifier": "P49", "position": [9, 9], "step": 122, "ordinal_position": 123}, {"identifier": "K97", "position": [9, 10], "step": 123, "ordinal_position": 124}, {"identifier": "C96", "position": [9, 11], "step": 124, "ordinal_position": 125}, {"identifier": "D07", "position": [9, 12], "step": 125, "ordinal_position": 126}, {"identifier": "I15", "position": [9, 13], "step": 126, "ordinal_position": 127}, {"identifier": "E66", "position": [9, 14], "step": 127, "ordinal_position": 128}, {"identifier": "F12", "position": [9, 15], "step": 128, "ordinal_position": 129}, {"identifier": "M10", "position": [8, 15], "step": 129, "ordinal_position": 130}, {"identifier": "H95", "position": [7, 15], "step": 130, "ordinal_position": 131}, {"identifier": "Y73", "position": [7, 14], "step": 131, "ordinal_position": 132}, {"identifier": "K91", "position": [7, 13], "step": 132, "ordinal_position": 133}, {"identifier": "X13", "position": [6, 13], "step": 133, "ordinal_position": 134}, {"identifier": "W96", "position": [5, 13], "step": 134, "ordinal_position": 135}, {"identifier": "R24", "position": [5, 12], "step": 135, "ordinal_position": 136}, {"identifier": "I51", "position": [5, 11], "step": 136, "ordinal_position": 137}, {"identifier": "D34", "position": [6, 11], "step": 137, "ordinal_position": 138}, {"identifier": "M40", "position": [7, 11], "step": 138, "ordinal_position": 139}, {"identifier": "K37", "position": [7, 10], "step": 139, "ordinal_position": 140}, {"identifier": "M12", "position": [7, 9], "step": 140, "ordinal_position": 141}, {"identifier": "X35", "position": [7, 8], "step": 141, "ordinal_position": 142}, {"identifier": "K92", "position": [7, 7], "step": 142, "ordinal_position": 143}, {"identifier": "X75", "position": [8, 7], "step": 143, "ordinal_position": 144}, {"identifier": "B11", "position": [9, 7], "step": 144, "ordinal_position": 145}, {"identifier": "N96", "position": [9, 8], "step": 145, "ordinal_position": 146}, {"identifier": "P49", "position": [9, 9], "step": 146, "ordinal_position": 147}, {"identifier": "K97", "position": [9, 10], "step": 147, "ordinal_position": 148}, {"identifier": "C96", "position": [9, 11], "step": 148, "ordinal_position": 149}, {"identifier": "D07", "position": [9, 12], "step": 149, "ordinal_position": 150}, {"identifier": "I15", "position": [9, 13], "step": 150, "ordinal_position": 151}, {"identifier": "E66", "position": [9, 14], "step": 151, "ordinal_position": 152}, {"identifier": "F12", "position": [9, 15], "step": 152, "ordinal_position": 153}, {"identifier": "M10", "position": [8, 15], "step": 153, "ordinal_position": 154}, {"identifier": "H95", "position": [7, 15], "step": 154, "ordinal_position": 155}, {"identifier": "Y73", "position": [7, 14], "step": 155, "ordinal_position": 156}, {"identifier": "K91", "position": [7, 13], "step": 156, "ordinal_position": 157}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 157, "direction": "left", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_001.json"}} {"qa_id": "1430f3a6dcbb405eab4d0656991755f0", "image_id": "L3-MazeLoop-test_21x21_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F34, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 213th position in this traversal?", "start_object_id": "F34", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [213], "ordinal_strings": ["213th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "N42", "traversal_path": [{"identifier": "F34", "position": [18, 3], "step": 0, "ordinal_position": 1}, {"identifier": "B63", "position": [19, 3], "step": 1, "ordinal_position": 2}, {"identifier": "V81", "position": [19, 2], "step": 2, "ordinal_position": 3}, {"identifier": "L91", "position": [19, 1], "step": 3, "ordinal_position": 4}, {"identifier": "N42", "position": [18, 1], "step": 4, "ordinal_position": 5}, {"identifier": "C89", "position": [17, 1], "step": 5, "ordinal_position": 6}, {"identifier": "E21", "position": [17, 2], "step": 6, "ordinal_position": 7}, {"identifier": "N15", "position": [17, 3], "step": 7, "ordinal_position": 8}, {"identifier": "F34", "position": [18, 3], "step": 8, "ordinal_position": 9}, {"identifier": "B63", "position": [19, 3], "step": 9, "ordinal_position": 10}, {"identifier": "V81", "position": [19, 2], "step": 10, "ordinal_position": 11}, {"identifier": "L91", "position": [19, 1], "step": 11, "ordinal_position": 12}, {"identifier": "N42", "position": [18, 1], "step": 12, "ordinal_position": 13}, {"identifier": "C89", "position": [17, 1], "step": 13, "ordinal_position": 14}, {"identifier": "E21", "position": [17, 2], "step": 14, "ordinal_position": 15}, {"identifier": "N15", "position": [17, 3], "step": 15, "ordinal_position": 16}, {"identifier": "F34", "position": [18, 3], "step": 16, "ordinal_position": 17}, {"identifier": "B63", "position": [19, 3], "step": 17, "ordinal_position": 18}, {"identifier": "V81", "position": [19, 2], "step": 18, "ordinal_position": 19}, {"identifier": "L91", "position": [19, 1], "step": 19, "ordinal_position": 20}, {"identifier": "N42", "position": [18, 1], "step": 20, "ordinal_position": 21}, {"identifier": "C89", "position": [17, 1], "step": 21, "ordinal_position": 22}, {"identifier": "E21", "position": [17, 2], "step": 22, "ordinal_position": 23}, {"identifier": "N15", "position": [17, 3], "step": 23, "ordinal_position": 24}, {"identifier": "F34", "position": [18, 3], "step": 24, "ordinal_position": 25}, {"identifier": "B63", "position": [19, 3], "step": 25, "ordinal_position": 26}, {"identifier": "V81", "position": [19, 2], "step": 26, "ordinal_position": 27}, {"identifier": "L91", "position": [19, 1], "step": 27, "ordinal_position": 28}, {"identifier": "N42", "position": [18, 1], "step": 28, "ordinal_position": 29}, {"identifier": "C89", "position": [17, 1], "step": 29, "ordinal_position": 30}, {"identifier": "E21", "position": [17, 2], "step": 30, "ordinal_position": 31}, {"identifier": "N15", "position": [17, 3], "step": 31, "ordinal_position": 32}, {"identifier": "F34", "position": [18, 3], "step": 32, "ordinal_position": 33}, {"identifier": "B63", "position": [19, 3], "step": 33, "ordinal_position": 34}, {"identifier": "V81", "position": [19, 2], "step": 34, "ordinal_position": 35}, {"identifier": "L91", "position": [19, 1], "step": 35, "ordinal_position": 36}, {"identifier": "N42", "position": [18, 1], "step": 36, "ordinal_position": 37}, {"identifier": "C89", "position": [17, 1], "step": 37, "ordinal_position": 38}, {"identifier": "E21", "position": [17, 2], "step": 38, "ordinal_position": 39}, {"identifier": "N15", "position": [17, 3], "step": 39, "ordinal_position": 40}, {"identifier": "F34", "position": [18, 3], "step": 40, "ordinal_position": 41}, {"identifier": "B63", "position": [19, 3], "step": 41, "ordinal_position": 42}, {"identifier": "V81", "position": [19, 2], "step": 42, "ordinal_position": 43}, {"identifier": "L91", "position": [19, 1], "step": 43, "ordinal_position": 44}, {"identifier": "N42", "position": [18, 1], "step": 44, "ordinal_position": 45}, {"identifier": "C89", "position": [17, 1], "step": 45, "ordinal_position": 46}, {"identifier": "E21", "position": [17, 2], "step": 46, "ordinal_position": 47}, {"identifier": "N15", "position": [17, 3], "step": 47, "ordinal_position": 48}, {"identifier": "F34", "position": [18, 3], "step": 48, "ordinal_position": 49}, {"identifier": "B63", "position": [19, 3], "step": 49, "ordinal_position": 50}, {"identifier": "V81", "position": [19, 2], "step": 50, "ordinal_position": 51}, {"identifier": "L91", "position": [19, 1], "step": 51, "ordinal_position": 52}, {"identifier": "N42", "position": [18, 1], "step": 52, "ordinal_position": 53}, {"identifier": "C89", "position": [17, 1], "step": 53, "ordinal_position": 54}, {"identifier": "E21", "position": [17, 2], "step": 54, "ordinal_position": 55}, {"identifier": "N15", "position": [17, 3], "step": 55, "ordinal_position": 56}, {"identifier": "F34", "position": [18, 3], "step": 56, "ordinal_position": 57}, {"identifier": "B63", "position": [19, 3], "step": 57, "ordinal_position": 58}, {"identifier": "V81", "position": [19, 2], "step": 58, "ordinal_position": 59}, {"identifier": "L91", "position": [19, 1], "step": 59, "ordinal_position": 60}, {"identifier": "N42", "position": [18, 1], "step": 60, "ordinal_position": 61}, {"identifier": "C89", "position": [17, 1], "step": 61, "ordinal_position": 62}, {"identifier": "E21", "position": [17, 2], "step": 62, "ordinal_position": 63}, {"identifier": "N15", "position": [17, 3], "step": 63, "ordinal_position": 64}, {"identifier": "F34", "position": [18, 3], "step": 64, "ordinal_position": 65}, {"identifier": "B63", "position": [19, 3], "step": 65, "ordinal_position": 66}, {"identifier": "V81", "position": [19, 2], "step": 66, "ordinal_position": 67}, {"identifier": "L91", "position": [19, 1], "step": 67, "ordinal_position": 68}, {"identifier": "N42", "position": [18, 1], "step": 68, "ordinal_position": 69}, {"identifier": "C89", "position": [17, 1], "step": 69, "ordinal_position": 70}, {"identifier": "E21", "position": [17, 2], "step": 70, "ordinal_position": 71}, {"identifier": "N15", "position": [17, 3], "step": 71, "ordinal_position": 72}, {"identifier": "F34", "position": [18, 3], "step": 72, "ordinal_position": 73}, {"identifier": "B63", "position": [19, 3], "step": 73, "ordinal_position": 74}, {"identifier": "V81", "position": [19, 2], "step": 74, "ordinal_position": 75}, {"identifier": "L91", "position": [19, 1], "step": 75, "ordinal_position": 76}, {"identifier": "N42", "position": [18, 1], "step": 76, "ordinal_position": 77}, {"identifier": "C89", "position": [17, 1], "step": 77, "ordinal_position": 78}, {"identifier": "E21", "position": [17, 2], "step": 78, "ordinal_position": 79}, {"identifier": "N15", "position": [17, 3], "step": 79, "ordinal_position": 80}, {"identifier": "F34", "position": [18, 3], "step": 80, "ordinal_position": 81}, {"identifier": "B63", "position": [19, 3], "step": 81, "ordinal_position": 82}, {"identifier": "V81", "position": [19, 2], "step": 82, "ordinal_position": 83}, {"identifier": "L91", "position": [19, 1], "step": 83, "ordinal_position": 84}, {"identifier": "N42", "position": [18, 1], "step": 84, "ordinal_position": 85}, {"identifier": "C89", "position": [17, 1], "step": 85, "ordinal_position": 86}, {"identifier": "E21", "position": [17, 2], "step": 86, "ordinal_position": 87}, {"identifier": "N15", "position": [17, 3], "step": 87, "ordinal_position": 88}, {"identifier": "F34", "position": [18, 3], "step": 88, "ordinal_position": 89}, {"identifier": "B63", "position": [19, 3], "step": 89, "ordinal_position": 90}, {"identifier": "V81", "position": [19, 2], "step": 90, "ordinal_position": 91}, {"identifier": "L91", "position": [19, 1], "step": 91, "ordinal_position": 92}, {"identifier": "N42", "position": [18, 1], "step": 92, "ordinal_position": 93}, {"identifier": "C89", "position": [17, 1], "step": 93, "ordinal_position": 94}, {"identifier": "E21", "position": [17, 2], "step": 94, "ordinal_position": 95}, {"identifier": "N15", "position": [17, 3], "step": 95, "ordinal_position": 96}, {"identifier": "F34", "position": [18, 3], "step": 96, "ordinal_position": 97}, {"identifier": "B63", "position": [19, 3], "step": 97, "ordinal_position": 98}, {"identifier": "V81", "position": [19, 2], "step": 98, "ordinal_position": 99}, {"identifier": "L91", "position": [19, 1], "step": 99, "ordinal_position": 100}, {"identifier": "N42", "position": [18, 1], "step": 100, "ordinal_position": 101}, {"identifier": "C89", "position": [17, 1], "step": 101, "ordinal_position": 102}, {"identifier": "E21", "position": [17, 2], "step": 102, "ordinal_position": 103}, {"identifier": "N15", "position": [17, 3], "step": 103, "ordinal_position": 104}, {"identifier": "F34", "position": [18, 3], "step": 104, "ordinal_position": 105}, {"identifier": "B63", "position": [19, 3], "step": 105, "ordinal_position": 106}, {"identifier": "V81", "position": [19, 2], "step": 106, "ordinal_position": 107}, {"identifier": "L91", "position": [19, 1], "step": 107, "ordinal_position": 108}, {"identifier": "N42", "position": [18, 1], "step": 108, "ordinal_position": 109}, {"identifier": "C89", "position": [17, 1], "step": 109, "ordinal_position": 110}, {"identifier": "E21", "position": [17, 2], "step": 110, "ordinal_position": 111}, {"identifier": "N15", "position": [17, 3], "step": 111, "ordinal_position": 112}, {"identifier": "F34", "position": [18, 3], "step": 112, "ordinal_position": 113}, {"identifier": "B63", "position": [19, 3], "step": 113, "ordinal_position": 114}, {"identifier": "V81", "position": [19, 2], "step": 114, "ordinal_position": 115}, {"identifier": "L91", "position": [19, 1], "step": 115, "ordinal_position": 116}, {"identifier": "N42", "position": [18, 1], "step": 116, "ordinal_position": 117}, {"identifier": "C89", "position": [17, 1], "step": 117, "ordinal_position": 118}, {"identifier": "E21", "position": [17, 2], "step": 118, "ordinal_position": 119}, {"identifier": "N15", "position": [17, 3], "step": 119, "ordinal_position": 120}, {"identifier": "F34", "position": [18, 3], "step": 120, "ordinal_position": 121}, {"identifier": "B63", "position": [19, 3], "step": 121, "ordinal_position": 122}, {"identifier": "V81", "position": [19, 2], "step": 122, "ordinal_position": 123}, {"identifier": "L91", "position": [19, 1], "step": 123, "ordinal_position": 124}, {"identifier": "N42", "position": [18, 1], "step": 124, "ordinal_position": 125}, {"identifier": "C89", "position": [17, 1], "step": 125, "ordinal_position": 126}, {"identifier": "E21", "position": [17, 2], "step": 126, "ordinal_position": 127}, {"identifier": "N15", "position": [17, 3], "step": 127, "ordinal_position": 128}, {"identifier": "F34", "position": [18, 3], "step": 128, "ordinal_position": 129}, {"identifier": "B63", "position": [19, 3], "step": 129, "ordinal_position": 130}, {"identifier": "V81", "position": [19, 2], "step": 130, "ordinal_position": 131}, {"identifier": "L91", "position": [19, 1], "step": 131, "ordinal_position": 132}, {"identifier": "N42", "position": [18, 1], "step": 132, "ordinal_position": 133}, {"identifier": "C89", "position": [17, 1], "step": 133, "ordinal_position": 134}, {"identifier": "E21", "position": [17, 2], "step": 134, "ordinal_position": 135}, {"identifier": "N15", "position": [17, 3], "step": 135, "ordinal_position": 136}, {"identifier": "F34", "position": [18, 3], "step": 136, "ordinal_position": 137}, {"identifier": "B63", "position": [19, 3], "step": 137, "ordinal_position": 138}, {"identifier": "V81", "position": [19, 2], "step": 138, "ordinal_position": 139}, {"identifier": "L91", "position": [19, 1], "step": 139, "ordinal_position": 140}, {"identifier": "N42", "position": [18, 1], "step": 140, "ordinal_position": 141}, {"identifier": "C89", "position": [17, 1], "step": 141, "ordinal_position": 142}, {"identifier": "E21", "position": [17, 2], "step": 142, "ordinal_position": 143}, {"identifier": "N15", "position": [17, 3], "step": 143, "ordinal_position": 144}, {"identifier": "F34", "position": [18, 3], "step": 144, "ordinal_position": 145}, {"identifier": "B63", "position": [19, 3], "step": 145, "ordinal_position": 146}, {"identifier": "V81", "position": [19, 2], "step": 146, "ordinal_position": 147}, {"identifier": "L91", "position": [19, 1], "step": 147, "ordinal_position": 148}, {"identifier": "N42", "position": [18, 1], "step": 148, "ordinal_position": 149}, {"identifier": "C89", "position": [17, 1], "step": 149, "ordinal_position": 150}, {"identifier": "E21", "position": [17, 2], "step": 150, "ordinal_position": 151}, {"identifier": "N15", "position": [17, 3], "step": 151, "ordinal_position": 152}, {"identifier": "F34", "position": [18, 3], "step": 152, "ordinal_position": 153}, {"identifier": "B63", "position": [19, 3], "step": 153, "ordinal_position": 154}, {"identifier": "V81", "position": [19, 2], "step": 154, "ordinal_position": 155}, {"identifier": "L91", "position": [19, 1], "step": 155, "ordinal_position": 156}, {"identifier": "N42", "position": [18, 1], "step": 156, "ordinal_position": 157}, {"identifier": "C89", "position": [17, 1], "step": 157, "ordinal_position": 158}, {"identifier": "E21", "position": [17, 2], "step": 158, "ordinal_position": 159}, {"identifier": "N15", "position": [17, 3], "step": 159, "ordinal_position": 160}, {"identifier": "F34", "position": [18, 3], "step": 160, "ordinal_position": 161}, {"identifier": "B63", "position": [19, 3], "step": 161, "ordinal_position": 162}, {"identifier": "V81", "position": [19, 2], "step": 162, "ordinal_position": 163}, {"identifier": "L91", "position": [19, 1], "step": 163, "ordinal_position": 164}, {"identifier": "N42", "position": [18, 1], "step": 164, "ordinal_position": 165}, {"identifier": "C89", "position": [17, 1], "step": 165, "ordinal_position": 166}, {"identifier": "E21", "position": [17, 2], "step": 166, "ordinal_position": 167}, {"identifier": "N15", "position": [17, 3], "step": 167, "ordinal_position": 168}, {"identifier": "F34", "position": [18, 3], "step": 168, "ordinal_position": 169}, {"identifier": "B63", "position": [19, 3], "step": 169, "ordinal_position": 170}, {"identifier": "V81", "position": [19, 2], "step": 170, "ordinal_position": 171}, {"identifier": "L91", "position": [19, 1], "step": 171, "ordinal_position": 172}, {"identifier": "N42", "position": [18, 1], "step": 172, "ordinal_position": 173}, {"identifier": "C89", "position": [17, 1], "step": 173, "ordinal_position": 174}, {"identifier": "E21", "position": [17, 2], "step": 174, "ordinal_position": 175}, {"identifier": "N15", "position": [17, 3], "step": 175, "ordinal_position": 176}, {"identifier": "F34", "position": [18, 3], "step": 176, "ordinal_position": 177}, {"identifier": "B63", "position": [19, 3], "step": 177, "ordinal_position": 178}, {"identifier": "V81", "position": [19, 2], "step": 178, "ordinal_position": 179}, {"identifier": "L91", "position": [19, 1], "step": 179, "ordinal_position": 180}, {"identifier": "N42", "position": [18, 1], "step": 180, "ordinal_position": 181}, {"identifier": "C89", "position": [17, 1], "step": 181, "ordinal_position": 182}, {"identifier": "E21", "position": [17, 2], "step": 182, "ordinal_position": 183}, {"identifier": "N15", "position": [17, 3], "step": 183, "ordinal_position": 184}, {"identifier": "F34", "position": [18, 3], "step": 184, "ordinal_position": 185}, {"identifier": "B63", "position": [19, 3], "step": 185, "ordinal_position": 186}, {"identifier": "V81", "position": [19, 2], "step": 186, "ordinal_position": 187}, {"identifier": "L91", "position": [19, 1], "step": 187, "ordinal_position": 188}, {"identifier": "N42", "position": [18, 1], "step": 188, "ordinal_position": 189}, {"identifier": "C89", "position": [17, 1], "step": 189, "ordinal_position": 190}, {"identifier": "E21", "position": [17, 2], "step": 190, "ordinal_position": 191}, {"identifier": "N15", "position": [17, 3], "step": 191, "ordinal_position": 192}, {"identifier": "F34", "position": [18, 3], "step": 192, "ordinal_position": 193}, {"identifier": "B63", "position": [19, 3], "step": 193, "ordinal_position": 194}, {"identifier": "V81", "position": [19, 2], "step": 194, "ordinal_position": 195}, {"identifier": "L91", "position": [19, 1], "step": 195, "ordinal_position": 196}, {"identifier": "N42", "position": [18, 1], "step": 196, "ordinal_position": 197}, {"identifier": "C89", "position": [17, 1], "step": 197, "ordinal_position": 198}, {"identifier": "E21", "position": [17, 2], "step": 198, "ordinal_position": 199}, {"identifier": "N15", "position": [17, 3], "step": 199, "ordinal_position": 200}, {"identifier": "F34", "position": [18, 3], "step": 200, "ordinal_position": 201}, {"identifier": "B63", "position": [19, 3], "step": 201, "ordinal_position": 202}, {"identifier": "V81", "position": [19, 2], "step": 202, "ordinal_position": 203}, {"identifier": "L91", "position": [19, 1], "step": 203, "ordinal_position": 204}, {"identifier": "N42", "position": [18, 1], "step": 204, "ordinal_position": 205}, {"identifier": "C89", "position": [17, 1], "step": 205, "ordinal_position": 206}, {"identifier": "E21", "position": [17, 2], "step": 206, "ordinal_position": 207}, {"identifier": "N15", "position": [17, 3], "step": 207, "ordinal_position": 208}, {"identifier": "F34", "position": [18, 3], "step": 208, "ordinal_position": 209}, {"identifier": "B63", "position": [19, 3], "step": 209, "ordinal_position": 210}, {"identifier": "V81", "position": [19, 2], "step": 210, "ordinal_position": 211}, {"identifier": "L91", "position": [19, 1], "step": 211, "ordinal_position": 212}, {"identifier": "N42", "position": [18, 1], "step": 212, "ordinal_position": 213}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 213, "direction": "right", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_001.json"}} {"qa_id": "7ded1fab12bf4d02b42d0ccd381e899d", "image_id": "L3-MazeLoop-test_21x21_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M10, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 244th position in this traversal?", "start_object_id": "M10", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [244], "ordinal_strings": ["244th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "K91", "traversal_path": [{"identifier": "M10", "position": [8, 15], "step": 0, "ordinal_position": 1}, {"identifier": "H95", "position": [7, 15], "step": 1, "ordinal_position": 2}, {"identifier": "Y73", "position": [7, 14], "step": 2, "ordinal_position": 3}, {"identifier": "K91", "position": [7, 13], "step": 3, "ordinal_position": 4}, {"identifier": "X13", "position": [6, 13], "step": 4, "ordinal_position": 5}, {"identifier": "W96", "position": [5, 13], "step": 5, "ordinal_position": 6}, {"identifier": "R24", "position": [5, 12], "step": 6, "ordinal_position": 7}, {"identifier": "I51", "position": [5, 11], "step": 7, "ordinal_position": 8}, {"identifier": "D34", "position": [6, 11], "step": 8, "ordinal_position": 9}, {"identifier": "M40", "position": [7, 11], "step": 9, "ordinal_position": 10}, {"identifier": "K37", "position": [7, 10], "step": 10, "ordinal_position": 11}, {"identifier": "M12", "position": [7, 9], "step": 11, "ordinal_position": 12}, {"identifier": "X35", "position": [7, 8], "step": 12, "ordinal_position": 13}, {"identifier": "K92", "position": [7, 7], "step": 13, "ordinal_position": 14}, {"identifier": "X75", "position": [8, 7], "step": 14, "ordinal_position": 15}, {"identifier": "B11", "position": [9, 7], "step": 15, "ordinal_position": 16}, {"identifier": "N96", "position": [9, 8], "step": 16, "ordinal_position": 17}, {"identifier": "P49", "position": [9, 9], "step": 17, "ordinal_position": 18}, {"identifier": "K97", "position": [9, 10], "step": 18, "ordinal_position": 19}, {"identifier": "C96", "position": [9, 11], "step": 19, "ordinal_position": 20}, {"identifier": "D07", "position": [9, 12], "step": 20, "ordinal_position": 21}, {"identifier": "I15", "position": [9, 13], "step": 21, "ordinal_position": 22}, {"identifier": "E66", "position": [9, 14], "step": 22, "ordinal_position": 23}, {"identifier": "F12", "position": [9, 15], "step": 23, "ordinal_position": 24}, {"identifier": "M10", "position": [8, 15], "step": 24, "ordinal_position": 25}, {"identifier": "H95", "position": [7, 15], "step": 25, "ordinal_position": 26}, {"identifier": "Y73", "position": [7, 14], "step": 26, "ordinal_position": 27}, {"identifier": "K91", "position": [7, 13], "step": 27, "ordinal_position": 28}, {"identifier": "X13", "position": [6, 13], "step": 28, "ordinal_position": 29}, {"identifier": "W96", "position": [5, 13], "step": 29, "ordinal_position": 30}, {"identifier": "R24", "position": [5, 12], "step": 30, "ordinal_position": 31}, {"identifier": "I51", "position": [5, 11], "step": 31, "ordinal_position": 32}, {"identifier": "D34", "position": [6, 11], "step": 32, "ordinal_position": 33}, {"identifier": "M40", "position": [7, 11], "step": 33, "ordinal_position": 34}, {"identifier": "K37", "position": [7, 10], "step": 34, "ordinal_position": 35}, {"identifier": "M12", "position": [7, 9], "step": 35, "ordinal_position": 36}, {"identifier": "X35", "position": [7, 8], "step": 36, "ordinal_position": 37}, {"identifier": "K92", "position": [7, 7], "step": 37, "ordinal_position": 38}, {"identifier": "X75", "position": [8, 7], "step": 38, "ordinal_position": 39}, {"identifier": "B11", "position": [9, 7], "step": 39, "ordinal_position": 40}, {"identifier": "N96", "position": [9, 8], "step": 40, "ordinal_position": 41}, {"identifier": "P49", "position": [9, 9], "step": 41, "ordinal_position": 42}, {"identifier": "K97", "position": [9, 10], "step": 42, "ordinal_position": 43}, {"identifier": "C96", "position": [9, 11], "step": 43, "ordinal_position": 44}, {"identifier": "D07", "position": [9, 12], "step": 44, "ordinal_position": 45}, {"identifier": "I15", "position": [9, 13], "step": 45, "ordinal_position": 46}, {"identifier": "E66", "position": [9, 14], "step": 46, "ordinal_position": 47}, {"identifier": "F12", "position": [9, 15], "step": 47, "ordinal_position": 48}, {"identifier": "M10", "position": [8, 15], "step": 48, "ordinal_position": 49}, {"identifier": "H95", "position": [7, 15], "step": 49, "ordinal_position": 50}, {"identifier": "Y73", "position": [7, 14], "step": 50, "ordinal_position": 51}, {"identifier": "K91", "position": [7, 13], "step": 51, "ordinal_position": 52}, {"identifier": "X13", "position": [6, 13], "step": 52, "ordinal_position": 53}, {"identifier": "W96", "position": [5, 13], "step": 53, "ordinal_position": 54}, {"identifier": "R24", "position": [5, 12], "step": 54, "ordinal_position": 55}, {"identifier": "I51", "position": [5, 11], "step": 55, "ordinal_position": 56}, {"identifier": "D34", "position": [6, 11], "step": 56, "ordinal_position": 57}, {"identifier": "M40", "position": [7, 11], "step": 57, "ordinal_position": 58}, {"identifier": "K37", "position": [7, 10], "step": 58, "ordinal_position": 59}, {"identifier": "M12", "position": [7, 9], "step": 59, "ordinal_position": 60}, {"identifier": "X35", "position": [7, 8], "step": 60, "ordinal_position": 61}, {"identifier": "K92", "position": [7, 7], "step": 61, "ordinal_position": 62}, {"identifier": "X75", "position": [8, 7], "step": 62, "ordinal_position": 63}, {"identifier": "B11", "position": [9, 7], "step": 63, "ordinal_position": 64}, {"identifier": "N96", "position": [9, 8], "step": 64, "ordinal_position": 65}, {"identifier": "P49", "position": [9, 9], "step": 65, "ordinal_position": 66}, {"identifier": "K97", "position": [9, 10], "step": 66, "ordinal_position": 67}, {"identifier": "C96", "position": [9, 11], "step": 67, "ordinal_position": 68}, {"identifier": "D07", "position": [9, 12], "step": 68, "ordinal_position": 69}, {"identifier": "I15", "position": [9, 13], "step": 69, "ordinal_position": 70}, {"identifier": "E66", "position": [9, 14], "step": 70, "ordinal_position": 71}, {"identifier": "F12", "position": [9, 15], "step": 71, "ordinal_position": 72}, {"identifier": "M10", "position": [8, 15], "step": 72, "ordinal_position": 73}, {"identifier": "H95", "position": [7, 15], "step": 73, "ordinal_position": 74}, {"identifier": "Y73", "position": [7, 14], "step": 74, "ordinal_position": 75}, {"identifier": "K91", "position": [7, 13], "step": 75, "ordinal_position": 76}, {"identifier": "X13", "position": [6, 13], "step": 76, "ordinal_position": 77}, {"identifier": "W96", "position": [5, 13], "step": 77, "ordinal_position": 78}, {"identifier": "R24", "position": [5, 12], "step": 78, "ordinal_position": 79}, {"identifier": "I51", "position": [5, 11], "step": 79, "ordinal_position": 80}, {"identifier": "D34", "position": [6, 11], "step": 80, "ordinal_position": 81}, {"identifier": "M40", "position": [7, 11], "step": 81, "ordinal_position": 82}, {"identifier": "K37", "position": [7, 10], "step": 82, "ordinal_position": 83}, {"identifier": "M12", "position": [7, 9], "step": 83, "ordinal_position": 84}, {"identifier": "X35", "position": [7, 8], "step": 84, "ordinal_position": 85}, {"identifier": "K92", "position": [7, 7], "step": 85, "ordinal_position": 86}, {"identifier": "X75", "position": [8, 7], "step": 86, "ordinal_position": 87}, {"identifier": "B11", "position": [9, 7], "step": 87, "ordinal_position": 88}, {"identifier": "N96", "position": [9, 8], "step": 88, "ordinal_position": 89}, {"identifier": "P49", "position": [9, 9], "step": 89, "ordinal_position": 90}, {"identifier": "K97", "position": [9, 10], "step": 90, "ordinal_position": 91}, {"identifier": "C96", "position": [9, 11], "step": 91, "ordinal_position": 92}, {"identifier": "D07", "position": [9, 12], "step": 92, "ordinal_position": 93}, {"identifier": "I15", "position": [9, 13], "step": 93, "ordinal_position": 94}, {"identifier": "E66", "position": [9, 14], "step": 94, "ordinal_position": 95}, {"identifier": "F12", "position": [9, 15], "step": 95, "ordinal_position": 96}, {"identifier": "M10", "position": [8, 15], "step": 96, "ordinal_position": 97}, {"identifier": "H95", "position": [7, 15], "step": 97, "ordinal_position": 98}, {"identifier": "Y73", "position": [7, 14], "step": 98, "ordinal_position": 99}, {"identifier": "K91", "position": [7, 13], "step": 99, "ordinal_position": 100}, {"identifier": "X13", "position": [6, 13], "step": 100, "ordinal_position": 101}, {"identifier": "W96", "position": [5, 13], "step": 101, "ordinal_position": 102}, {"identifier": "R24", "position": [5, 12], "step": 102, "ordinal_position": 103}, {"identifier": "I51", "position": [5, 11], "step": 103, "ordinal_position": 104}, {"identifier": "D34", "position": [6, 11], "step": 104, "ordinal_position": 105}, {"identifier": "M40", "position": [7, 11], "step": 105, "ordinal_position": 106}, {"identifier": "K37", "position": [7, 10], "step": 106, "ordinal_position": 107}, {"identifier": "M12", "position": [7, 9], "step": 107, "ordinal_position": 108}, {"identifier": "X35", "position": [7, 8], "step": 108, "ordinal_position": 109}, {"identifier": "K92", "position": [7, 7], "step": 109, "ordinal_position": 110}, {"identifier": "X75", "position": [8, 7], "step": 110, "ordinal_position": 111}, {"identifier": "B11", "position": [9, 7], "step": 111, "ordinal_position": 112}, {"identifier": "N96", "position": [9, 8], "step": 112, "ordinal_position": 113}, {"identifier": "P49", "position": [9, 9], "step": 113, "ordinal_position": 114}, {"identifier": "K97", "position": [9, 10], "step": 114, "ordinal_position": 115}, {"identifier": "C96", "position": [9, 11], "step": 115, "ordinal_position": 116}, {"identifier": "D07", "position": [9, 12], "step": 116, "ordinal_position": 117}, {"identifier": "I15", "position": [9, 13], "step": 117, "ordinal_position": 118}, {"identifier": "E66", "position": [9, 14], "step": 118, "ordinal_position": 119}, {"identifier": "F12", "position": [9, 15], "step": 119, "ordinal_position": 120}, {"identifier": "M10", "position": [8, 15], "step": 120, "ordinal_position": 121}, {"identifier": "H95", "position": [7, 15], "step": 121, "ordinal_position": 122}, {"identifier": "Y73", "position": [7, 14], "step": 122, "ordinal_position": 123}, {"identifier": "K91", "position": [7, 13], "step": 123, "ordinal_position": 124}, {"identifier": "X13", "position": [6, 13], "step": 124, "ordinal_position": 125}, {"identifier": "W96", "position": [5, 13], "step": 125, "ordinal_position": 126}, {"identifier": "R24", "position": [5, 12], "step": 126, "ordinal_position": 127}, {"identifier": "I51", "position": [5, 11], "step": 127, "ordinal_position": 128}, {"identifier": "D34", "position": [6, 11], "step": 128, "ordinal_position": 129}, {"identifier": "M40", "position": [7, 11], "step": 129, "ordinal_position": 130}, {"identifier": "K37", "position": [7, 10], "step": 130, "ordinal_position": 131}, {"identifier": "M12", "position": [7, 9], "step": 131, "ordinal_position": 132}, {"identifier": "X35", "position": [7, 8], "step": 132, "ordinal_position": 133}, {"identifier": "K92", "position": [7, 7], "step": 133, "ordinal_position": 134}, {"identifier": "X75", "position": [8, 7], "step": 134, "ordinal_position": 135}, {"identifier": "B11", "position": [9, 7], "step": 135, "ordinal_position": 136}, {"identifier": "N96", "position": [9, 8], "step": 136, "ordinal_position": 137}, {"identifier": "P49", "position": [9, 9], "step": 137, "ordinal_position": 138}, {"identifier": "K97", "position": [9, 10], "step": 138, "ordinal_position": 139}, {"identifier": "C96", "position": [9, 11], "step": 139, "ordinal_position": 140}, {"identifier": "D07", "position": [9, 12], "step": 140, "ordinal_position": 141}, {"identifier": "I15", "position": [9, 13], "step": 141, "ordinal_position": 142}, {"identifier": "E66", "position": [9, 14], "step": 142, "ordinal_position": 143}, {"identifier": "F12", "position": [9, 15], "step": 143, "ordinal_position": 144}, {"identifier": "M10", "position": [8, 15], "step": 144, "ordinal_position": 145}, {"identifier": "H95", "position": [7, 15], "step": 145, "ordinal_position": 146}, {"identifier": "Y73", "position": [7, 14], "step": 146, "ordinal_position": 147}, {"identifier": "K91", "position": [7, 13], "step": 147, "ordinal_position": 148}, {"identifier": "X13", "position": [6, 13], "step": 148, "ordinal_position": 149}, {"identifier": "W96", "position": [5, 13], "step": 149, "ordinal_position": 150}, {"identifier": "R24", "position": [5, 12], "step": 150, "ordinal_position": 151}, {"identifier": "I51", "position": [5, 11], "step": 151, "ordinal_position": 152}, {"identifier": "D34", "position": [6, 11], "step": 152, "ordinal_position": 153}, {"identifier": "M40", "position": [7, 11], "step": 153, "ordinal_position": 154}, {"identifier": "K37", "position": [7, 10], "step": 154, "ordinal_position": 155}, {"identifier": "M12", "position": [7, 9], "step": 155, "ordinal_position": 156}, {"identifier": "X35", "position": [7, 8], "step": 156, "ordinal_position": 157}, {"identifier": "K92", "position": [7, 7], "step": 157, "ordinal_position": 158}, {"identifier": "X75", "position": [8, 7], "step": 158, "ordinal_position": 159}, {"identifier": "B11", "position": [9, 7], "step": 159, "ordinal_position": 160}, {"identifier": "N96", "position": [9, 8], "step": 160, "ordinal_position": 161}, {"identifier": "P49", "position": [9, 9], "step": 161, "ordinal_position": 162}, {"identifier": "K97", "position": [9, 10], "step": 162, "ordinal_position": 163}, {"identifier": "C96", "position": [9, 11], "step": 163, "ordinal_position": 164}, {"identifier": "D07", "position": [9, 12], "step": 164, "ordinal_position": 165}, {"identifier": "I15", "position": [9, 13], "step": 165, "ordinal_position": 166}, {"identifier": "E66", "position": [9, 14], "step": 166, "ordinal_position": 167}, {"identifier": "F12", "position": [9, 15], "step": 167, "ordinal_position": 168}, {"identifier": "M10", "position": [8, 15], "step": 168, "ordinal_position": 169}, {"identifier": "H95", "position": [7, 15], "step": 169, "ordinal_position": 170}, {"identifier": "Y73", "position": [7, 14], "step": 170, "ordinal_position": 171}, {"identifier": "K91", "position": [7, 13], "step": 171, "ordinal_position": 172}, {"identifier": "X13", "position": [6, 13], "step": 172, "ordinal_position": 173}, {"identifier": "W96", "position": [5, 13], "step": 173, "ordinal_position": 174}, {"identifier": "R24", "position": [5, 12], "step": 174, "ordinal_position": 175}, {"identifier": "I51", "position": [5, 11], "step": 175, "ordinal_position": 176}, {"identifier": "D34", "position": [6, 11], "step": 176, "ordinal_position": 177}, {"identifier": "M40", "position": [7, 11], "step": 177, "ordinal_position": 178}, {"identifier": "K37", "position": [7, 10], "step": 178, "ordinal_position": 179}, {"identifier": "M12", "position": [7, 9], "step": 179, "ordinal_position": 180}, {"identifier": "X35", "position": [7, 8], "step": 180, "ordinal_position": 181}, {"identifier": "K92", "position": [7, 7], "step": 181, "ordinal_position": 182}, {"identifier": "X75", "position": [8, 7], "step": 182, "ordinal_position": 183}, {"identifier": "B11", "position": [9, 7], "step": 183, "ordinal_position": 184}, {"identifier": "N96", "position": [9, 8], "step": 184, "ordinal_position": 185}, {"identifier": "P49", "position": [9, 9], "step": 185, "ordinal_position": 186}, {"identifier": "K97", "position": [9, 10], "step": 186, "ordinal_position": 187}, {"identifier": "C96", "position": [9, 11], "step": 187, "ordinal_position": 188}, {"identifier": "D07", "position": [9, 12], "step": 188, "ordinal_position": 189}, {"identifier": "I15", "position": [9, 13], "step": 189, "ordinal_position": 190}, {"identifier": "E66", "position": [9, 14], "step": 190, "ordinal_position": 191}, {"identifier": "F12", "position": [9, 15], "step": 191, "ordinal_position": 192}, {"identifier": "M10", "position": [8, 15], "step": 192, "ordinal_position": 193}, {"identifier": "H95", "position": [7, 15], "step": 193, "ordinal_position": 194}, {"identifier": "Y73", "position": [7, 14], "step": 194, "ordinal_position": 195}, {"identifier": "K91", "position": [7, 13], "step": 195, "ordinal_position": 196}, {"identifier": "X13", "position": [6, 13], "step": 196, "ordinal_position": 197}, {"identifier": "W96", "position": [5, 13], "step": 197, "ordinal_position": 198}, {"identifier": "R24", "position": [5, 12], "step": 198, "ordinal_position": 199}, {"identifier": "I51", "position": [5, 11], "step": 199, "ordinal_position": 200}, {"identifier": "D34", "position": [6, 11], "step": 200, "ordinal_position": 201}, {"identifier": "M40", "position": [7, 11], "step": 201, "ordinal_position": 202}, {"identifier": "K37", "position": [7, 10], "step": 202, "ordinal_position": 203}, {"identifier": "M12", "position": [7, 9], "step": 203, "ordinal_position": 204}, {"identifier": "X35", "position": [7, 8], "step": 204, "ordinal_position": 205}, {"identifier": "K92", "position": [7, 7], "step": 205, "ordinal_position": 206}, {"identifier": "X75", "position": [8, 7], "step": 206, "ordinal_position": 207}, {"identifier": "B11", "position": [9, 7], "step": 207, "ordinal_position": 208}, {"identifier": "N96", "position": [9, 8], "step": 208, "ordinal_position": 209}, {"identifier": "P49", "position": [9, 9], "step": 209, "ordinal_position": 210}, {"identifier": "K97", "position": [9, 10], "step": 210, "ordinal_position": 211}, {"identifier": "C96", "position": [9, 11], "step": 211, "ordinal_position": 212}, {"identifier": "D07", "position": [9, 12], "step": 212, "ordinal_position": 213}, {"identifier": "I15", "position": [9, 13], "step": 213, "ordinal_position": 214}, {"identifier": "E66", "position": [9, 14], "step": 214, "ordinal_position": 215}, {"identifier": "F12", "position": [9, 15], "step": 215, "ordinal_position": 216}, {"identifier": "M10", "position": [8, 15], "step": 216, "ordinal_position": 217}, {"identifier": "H95", "position": [7, 15], "step": 217, "ordinal_position": 218}, {"identifier": "Y73", "position": [7, 14], "step": 218, "ordinal_position": 219}, {"identifier": "K91", "position": [7, 13], "step": 219, "ordinal_position": 220}, {"identifier": "X13", "position": [6, 13], "step": 220, "ordinal_position": 221}, {"identifier": "W96", "position": [5, 13], "step": 221, "ordinal_position": 222}, {"identifier": "R24", "position": [5, 12], "step": 222, "ordinal_position": 223}, {"identifier": "I51", "position": [5, 11], "step": 223, "ordinal_position": 224}, {"identifier": "D34", "position": [6, 11], "step": 224, "ordinal_position": 225}, {"identifier": "M40", "position": [7, 11], "step": 225, "ordinal_position": 226}, {"identifier": "K37", "position": [7, 10], "step": 226, "ordinal_position": 227}, {"identifier": "M12", "position": [7, 9], "step": 227, "ordinal_position": 228}, {"identifier": "X35", "position": [7, 8], "step": 228, "ordinal_position": 229}, {"identifier": "K92", "position": [7, 7], "step": 229, "ordinal_position": 230}, {"identifier": "X75", "position": [8, 7], "step": 230, "ordinal_position": 231}, {"identifier": "B11", "position": [9, 7], "step": 231, "ordinal_position": 232}, {"identifier": "N96", "position": [9, 8], "step": 232, "ordinal_position": 233}, {"identifier": "P49", "position": [9, 9], "step": 233, "ordinal_position": 234}, {"identifier": "K97", "position": [9, 10], "step": 234, "ordinal_position": 235}, {"identifier": "C96", "position": [9, 11], "step": 235, "ordinal_position": 236}, {"identifier": "D07", "position": [9, 12], "step": 236, "ordinal_position": 237}, {"identifier": "I15", "position": [9, 13], "step": 237, "ordinal_position": 238}, {"identifier": "E66", "position": [9, 14], "step": 238, "ordinal_position": 239}, {"identifier": "F12", "position": [9, 15], "step": 239, "ordinal_position": 240}, {"identifier": "M10", "position": [8, 15], "step": 240, "ordinal_position": 241}, {"identifier": "H95", "position": [7, 15], "step": 241, "ordinal_position": 242}, {"identifier": "Y73", "position": [7, 14], "step": 242, "ordinal_position": 243}, {"identifier": "K91", "position": [7, 13], "step": 243, "ordinal_position": 244}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 244, "direction": "left", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_001.json"}} {"qa_id": "cc65b01621e047cca5803156642895aa", "image_id": "L3-MazeLoop-test_21x21_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z13, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 132nd position in this traversal?", "start_object_id": "Z13", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [132], "ordinal_strings": ["132nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "E66", "traversal_path": [{"identifier": "Z13", "position": [13, 15], "step": 0, "ordinal_position": 1}, {"identifier": "O21", "position": [13, 16], "step": 1, "ordinal_position": 2}, {"identifier": "A70", "position": [13, 17], "step": 2, "ordinal_position": 3}, {"identifier": "K09", "position": [12, 17], "step": 3, "ordinal_position": 4}, {"identifier": "E56", "position": [11, 17], "step": 4, "ordinal_position": 5}, {"identifier": "H02", "position": [10, 17], "step": 5, "ordinal_position": 6}, {"identifier": "K06", "position": [9, 17], "step": 6, "ordinal_position": 7}, {"identifier": "W53", "position": [8, 17], "step": 7, "ordinal_position": 8}, {"identifier": "M20", "position": [7, 17], "step": 8, "ordinal_position": 9}, {"identifier": "P07", "position": [7, 18], "step": 9, "ordinal_position": 10}, {"identifier": "L50", "position": [7, 19], "step": 10, "ordinal_position": 11}, {"identifier": "N60", "position": [6, 19], "step": 11, "ordinal_position": 12}, {"identifier": "P48", "position": [5, 19], "step": 12, "ordinal_position": 13}, {"identifier": "O71", "position": [4, 19], "step": 13, "ordinal_position": 14}, {"identifier": "C90", "position": [3, 19], "step": 14, "ordinal_position": 15}, {"identifier": "Q17", "position": [2, 19], "step": 15, "ordinal_position": 16}, {"identifier": "N87", "position": [1, 19], "step": 16, "ordinal_position": 17}, {"identifier": "G82", "position": [1, 18], "step": 17, "ordinal_position": 18}, {"identifier": "J61", "position": [1, 17], "step": 18, "ordinal_position": 19}, {"identifier": "J98", "position": [1, 16], "step": 19, "ordinal_position": 20}, {"identifier": "P53", "position": [1, 15], "step": 20, "ordinal_position": 21}, {"identifier": "R46", "position": [2, 15], "step": 21, "ordinal_position": 22}, {"identifier": "I42", "position": [3, 15], "step": 22, "ordinal_position": 23}, {"identifier": "E73", "position": [3, 14], "step": 23, "ordinal_position": 24}, {"identifier": "B53", "position": [3, 13], "step": 24, "ordinal_position": 25}, {"identifier": "J88", "position": [2, 13], "step": 25, "ordinal_position": 26}, {"identifier": "N11", "position": [1, 13], "step": 26, "ordinal_position": 27}, {"identifier": "D77", "position": [1, 12], "step": 27, "ordinal_position": 28}, {"identifier": "G95", "position": [1, 11], "step": 28, "ordinal_position": 29}, {"identifier": "D46", "position": [1, 10], "step": 29, "ordinal_position": 30}, {"identifier": "G42", "position": [1, 9], "step": 30, "ordinal_position": 31}, {"identifier": "E05", "position": [1, 8], "step": 31, "ordinal_position": 32}, {"identifier": "Y19", "position": [1, 7], "step": 32, "ordinal_position": 33}, {"identifier": "J81", "position": [1, 6], "step": 33, "ordinal_position": 34}, {"identifier": "Y06", "position": [1, 5], "step": 34, "ordinal_position": 35}, {"identifier": "L92", "position": [2, 5], "step": 35, "ordinal_position": 36}, {"identifier": "C62", "position": [3, 5], "step": 36, "ordinal_position": 37}, {"identifier": "J63", "position": [3, 6], "step": 37, "ordinal_position": 38}, {"identifier": "X71", "position": [3, 7], "step": 38, "ordinal_position": 39}, {"identifier": "M56", "position": [3, 8], "step": 39, "ordinal_position": 40}, {"identifier": "I91", "position": [3, 9], "step": 40, "ordinal_position": 41}, {"identifier": "Y58", "position": [3, 10], "step": 41, "ordinal_position": 42}, {"identifier": "W29", "position": [3, 11], "step": 42, "ordinal_position": 43}, {"identifier": "N93", "position": [4, 11], "step": 43, "ordinal_position": 44}, {"identifier": "I51", "position": [5, 11], "step": 44, "ordinal_position": 45}, {"identifier": "D34", "position": [6, 11], "step": 45, "ordinal_position": 46}, {"identifier": "M40", "position": [7, 11], "step": 46, "ordinal_position": 47}, {"identifier": "K37", "position": [7, 10], "step": 47, "ordinal_position": 48}, {"identifier": "M12", "position": [7, 9], "step": 48, "ordinal_position": 49}, {"identifier": "X35", "position": [7, 8], "step": 49, "ordinal_position": 50}, {"identifier": "K92", "position": [7, 7], "step": 50, "ordinal_position": 51}, {"identifier": "X75", "position": [8, 7], "step": 51, "ordinal_position": 52}, {"identifier": "B11", "position": [9, 7], "step": 52, "ordinal_position": 53}, {"identifier": "N96", "position": [9, 8], "step": 53, "ordinal_position": 54}, {"identifier": "P49", "position": [9, 9], "step": 54, "ordinal_position": 55}, {"identifier": "K97", "position": [9, 10], "step": 55, "ordinal_position": 56}, {"identifier": "C96", "position": [9, 11], "step": 56, "ordinal_position": 57}, {"identifier": "D07", "position": [9, 12], "step": 57, "ordinal_position": 58}, {"identifier": "I15", "position": [9, 13], "step": 58, "ordinal_position": 59}, {"identifier": "E66", "position": [9, 14], "step": 59, "ordinal_position": 60}, {"identifier": "F12", "position": [9, 15], "step": 60, "ordinal_position": 61}, {"identifier": "M10", "position": [8, 15], "step": 61, "ordinal_position": 62}, {"identifier": "H95", "position": [7, 15], "step": 62, "ordinal_position": 63}, {"identifier": "Y73", "position": [7, 14], "step": 63, "ordinal_position": 64}, {"identifier": "K91", "position": [7, 13], "step": 64, "ordinal_position": 65}, {"identifier": "X13", "position": [6, 13], "step": 65, "ordinal_position": 66}, {"identifier": "W96", "position": [5, 13], "step": 66, "ordinal_position": 67}, {"identifier": "R24", "position": [5, 12], "step": 67, "ordinal_position": 68}, {"identifier": "I51", "position": [5, 11], "step": 68, "ordinal_position": 69}, {"identifier": "D34", "position": [6, 11], "step": 69, "ordinal_position": 70}, {"identifier": "M40", "position": [7, 11], "step": 70, "ordinal_position": 71}, {"identifier": "K37", "position": [7, 10], "step": 71, "ordinal_position": 72}, {"identifier": "M12", "position": [7, 9], "step": 72, "ordinal_position": 73}, {"identifier": "X35", "position": [7, 8], "step": 73, "ordinal_position": 74}, {"identifier": "K92", "position": [7, 7], "step": 74, "ordinal_position": 75}, {"identifier": "X75", "position": [8, 7], "step": 75, "ordinal_position": 76}, {"identifier": "B11", "position": [9, 7], "step": 76, "ordinal_position": 77}, {"identifier": "N96", "position": [9, 8], "step": 77, "ordinal_position": 78}, {"identifier": "P49", "position": [9, 9], "step": 78, "ordinal_position": 79}, {"identifier": "K97", "position": [9, 10], "step": 79, "ordinal_position": 80}, {"identifier": "C96", "position": [9, 11], "step": 80, "ordinal_position": 81}, {"identifier": "D07", "position": [9, 12], "step": 81, "ordinal_position": 82}, {"identifier": "I15", "position": [9, 13], "step": 82, "ordinal_position": 83}, {"identifier": "E66", "position": [9, 14], "step": 83, "ordinal_position": 84}, {"identifier": "F12", "position": [9, 15], "step": 84, "ordinal_position": 85}, {"identifier": "M10", "position": [8, 15], "step": 85, "ordinal_position": 86}, {"identifier": "H95", "position": [7, 15], "step": 86, "ordinal_position": 87}, {"identifier": "Y73", "position": [7, 14], "step": 87, "ordinal_position": 88}, {"identifier": "K91", "position": [7, 13], "step": 88, "ordinal_position": 89}, {"identifier": "X13", "position": [6, 13], "step": 89, "ordinal_position": 90}, {"identifier": "W96", "position": [5, 13], "step": 90, "ordinal_position": 91}, {"identifier": "R24", "position": [5, 12], "step": 91, "ordinal_position": 92}, {"identifier": "I51", "position": [5, 11], "step": 92, "ordinal_position": 93}, {"identifier": "D34", "position": [6, 11], "step": 93, "ordinal_position": 94}, {"identifier": "M40", "position": [7, 11], "step": 94, "ordinal_position": 95}, {"identifier": "K37", "position": [7, 10], "step": 95, "ordinal_position": 96}, {"identifier": "M12", "position": [7, 9], "step": 96, "ordinal_position": 97}, {"identifier": "X35", "position": [7, 8], "step": 97, "ordinal_position": 98}, {"identifier": "K92", "position": [7, 7], "step": 98, "ordinal_position": 99}, {"identifier": "X75", "position": [8, 7], "step": 99, "ordinal_position": 100}, {"identifier": "B11", "position": [9, 7], "step": 100, "ordinal_position": 101}, {"identifier": "N96", "position": [9, 8], "step": 101, "ordinal_position": 102}, {"identifier": "P49", "position": [9, 9], "step": 102, "ordinal_position": 103}, {"identifier": "K97", "position": [9, 10], "step": 103, "ordinal_position": 104}, {"identifier": "C96", "position": [9, 11], "step": 104, "ordinal_position": 105}, {"identifier": "D07", "position": [9, 12], "step": 105, "ordinal_position": 106}, {"identifier": "I15", "position": [9, 13], "step": 106, "ordinal_position": 107}, {"identifier": "E66", "position": [9, 14], "step": 107, "ordinal_position": 108}, {"identifier": "F12", "position": [9, 15], "step": 108, "ordinal_position": 109}, {"identifier": "M10", "position": [8, 15], "step": 109, "ordinal_position": 110}, {"identifier": "H95", "position": [7, 15], "step": 110, "ordinal_position": 111}, {"identifier": "Y73", "position": [7, 14], "step": 111, "ordinal_position": 112}, {"identifier": "K91", "position": [7, 13], "step": 112, "ordinal_position": 113}, {"identifier": "X13", "position": [6, 13], "step": 113, "ordinal_position": 114}, {"identifier": "W96", "position": [5, 13], "step": 114, "ordinal_position": 115}, {"identifier": "R24", "position": [5, 12], "step": 115, "ordinal_position": 116}, {"identifier": "I51", "position": [5, 11], "step": 116, "ordinal_position": 117}, {"identifier": "D34", "position": [6, 11], "step": 117, "ordinal_position": 118}, {"identifier": "M40", "position": [7, 11], "step": 118, "ordinal_position": 119}, {"identifier": "K37", "position": [7, 10], "step": 119, "ordinal_position": 120}, {"identifier": "M12", "position": [7, 9], "step": 120, "ordinal_position": 121}, {"identifier": "X35", "position": [7, 8], "step": 121, "ordinal_position": 122}, {"identifier": "K92", "position": [7, 7], "step": 122, "ordinal_position": 123}, {"identifier": "X75", "position": [8, 7], "step": 123, "ordinal_position": 124}, {"identifier": "B11", "position": [9, 7], "step": 124, "ordinal_position": 125}, {"identifier": "N96", "position": [9, 8], "step": 125, "ordinal_position": 126}, {"identifier": "P49", "position": [9, 9], "step": 126, "ordinal_position": 127}, {"identifier": "K97", "position": [9, 10], "step": 127, "ordinal_position": 128}, {"identifier": "C96", "position": [9, 11], "step": 128, "ordinal_position": 129}, {"identifier": "D07", "position": [9, 12], "step": 129, "ordinal_position": 130}, {"identifier": "I15", "position": [9, 13], "step": 130, "ordinal_position": 131}, {"identifier": "E66", "position": [9, 14], "step": 131, "ordinal_position": 132}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 132, "direction": "down", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_001.json"}} {"qa_id": "27187aa9cb154b54aad977af1578b662", "image_id": "L3-MazeLoop-test_21x21_001", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H69, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 117th position in this traversal?", "start_object_id": "H69", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [117], "ordinal_strings": ["117th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "N13", "traversal_path": [{"identifier": "H69", "position": [11, 15], "step": 0, "ordinal_position": 1}, {"identifier": "G03", "position": [11, 14], "step": 1, "ordinal_position": 2}, {"identifier": "P57", "position": [11, 13], "step": 2, "ordinal_position": 3}, {"identifier": "B62", "position": [11, 12], "step": 3, "ordinal_position": 4}, {"identifier": "E41", "position": [11, 11], "step": 4, "ordinal_position": 5}, {"identifier": "I81", "position": [12, 11], "step": 5, "ordinal_position": 6}, {"identifier": "R04", "position": [13, 11], "step": 6, "ordinal_position": 7}, {"identifier": "Z07", "position": [14, 11], "step": 7, "ordinal_position": 8}, {"identifier": "Q45", "position": [15, 11], "step": 8, "ordinal_position": 9}, {"identifier": "S67", "position": [15, 10], "step": 9, "ordinal_position": 10}, {"identifier": "A83", "position": [15, 9], "step": 10, "ordinal_position": 11}, {"identifier": "X11", "position": [16, 9], "step": 11, "ordinal_position": 12}, {"identifier": "Z04", "position": [17, 9], "step": 12, "ordinal_position": 13}, {"identifier": "C67", "position": [17, 10], "step": 13, "ordinal_position": 14}, {"identifier": "U64", "position": [17, 11], "step": 14, "ordinal_position": 15}, {"identifier": "Q02", "position": [17, 12], "step": 15, "ordinal_position": 16}, {"identifier": "H50", "position": [17, 13], "step": 16, "ordinal_position": 17}, {"identifier": "Y63", "position": [18, 13], "step": 17, "ordinal_position": 18}, {"identifier": "S87", "position": [19, 13], "step": 18, "ordinal_position": 19}, {"identifier": "N40", "position": [19, 14], "step": 19, "ordinal_position": 20}, {"identifier": "X58", "position": [19, 15], "step": 20, "ordinal_position": 21}, {"identifier": "Z30", "position": [19, 16], "step": 21, "ordinal_position": 22}, {"identifier": "Q93", "position": [19, 17], "step": 22, "ordinal_position": 23}, {"identifier": "A59", "position": [19, 18], "step": 23, "ordinal_position": 24}, {"identifier": "E69", "position": [19, 19], "step": 24, "ordinal_position": 25}, {"identifier": "D13", "position": [18, 19], "step": 25, "ordinal_position": 26}, {"identifier": "J16", "position": [17, 19], "step": 26, "ordinal_position": 27}, {"identifier": "L52", "position": [16, 19], "step": 27, "ordinal_position": 28}, {"identifier": "N13", "position": [15, 19], "step": 28, "ordinal_position": 29}, {"identifier": "U20", "position": [14, 19], "step": 29, "ordinal_position": 30}, {"identifier": "Q32", "position": [13, 19], "step": 30, "ordinal_position": 31}, {"identifier": "W18", "position": [12, 19], "step": 31, "ordinal_position": 32}, {"identifier": "P99", "position": [11, 19], "step": 32, "ordinal_position": 33}, {"identifier": "I68", "position": [10, 19], "step": 33, "ordinal_position": 34}, {"identifier": "R58", "position": [9, 19], "step": 34, "ordinal_position": 35}, {"identifier": "D70", "position": [8, 19], "step": 35, "ordinal_position": 36}, {"identifier": "L50", "position": [7, 19], "step": 36, "ordinal_position": 37}, {"identifier": "N60", "position": [6, 19], "step": 37, "ordinal_position": 38}, {"identifier": "P48", "position": [5, 19], "step": 38, "ordinal_position": 39}, {"identifier": "O71", "position": [4, 19], "step": 39, "ordinal_position": 40}, {"identifier": "C90", "position": [3, 19], "step": 40, "ordinal_position": 41}, {"identifier": "Q17", "position": [2, 19], "step": 41, "ordinal_position": 42}, {"identifier": "N87", "position": [1, 19], "step": 42, "ordinal_position": 43}, {"identifier": "G82", "position": [1, 18], "step": 43, "ordinal_position": 44}, {"identifier": "J61", "position": [1, 17], "step": 44, "ordinal_position": 45}, {"identifier": "J98", "position": [1, 16], "step": 45, "ordinal_position": 46}, {"identifier": "P53", "position": [1, 15], "step": 46, "ordinal_position": 47}, {"identifier": "R46", "position": [2, 15], "step": 47, "ordinal_position": 48}, {"identifier": "I42", "position": [3, 15], "step": 48, "ordinal_position": 49}, {"identifier": "E73", "position": [3, 14], "step": 49, "ordinal_position": 50}, {"identifier": "B53", "position": [3, 13], "step": 50, "ordinal_position": 51}, {"identifier": "J88", "position": [2, 13], "step": 51, "ordinal_position": 52}, {"identifier": "N11", "position": [1, 13], "step": 52, "ordinal_position": 53}, {"identifier": "D77", "position": [1, 12], "step": 53, "ordinal_position": 54}, {"identifier": "G95", "position": [1, 11], "step": 54, "ordinal_position": 55}, {"identifier": "D46", "position": [1, 10], "step": 55, "ordinal_position": 56}, {"identifier": "G42", "position": [1, 9], "step": 56, "ordinal_position": 57}, {"identifier": "E05", "position": [1, 8], "step": 57, "ordinal_position": 58}, {"identifier": "Y19", "position": [1, 7], "step": 58, "ordinal_position": 59}, {"identifier": "J81", "position": [1, 6], "step": 59, "ordinal_position": 60}, {"identifier": "Y06", "position": [1, 5], "step": 60, "ordinal_position": 61}, {"identifier": "L92", "position": [2, 5], "step": 61, "ordinal_position": 62}, {"identifier": "C62", "position": [3, 5], "step": 62, "ordinal_position": 63}, {"identifier": "M54", "position": [3, 4], "step": 63, "ordinal_position": 64}, {"identifier": "B68", "position": [3, 3], "step": 64, "ordinal_position": 65}, {"identifier": "M99", "position": [2, 3], "step": 65, "ordinal_position": 66}, {"identifier": "K03", "position": [1, 3], "step": 66, "ordinal_position": 67}, {"identifier": "X07", "position": [1, 2], "step": 67, "ordinal_position": 68}, {"identifier": "N69", "position": [1, 1], "step": 68, "ordinal_position": 69}, {"identifier": "E68", "position": [2, 1], "step": 69, "ordinal_position": 70}, {"identifier": "D66", "position": [3, 1], "step": 70, "ordinal_position": 71}, {"identifier": "B65", "position": [4, 1], "step": 71, "ordinal_position": 72}, {"identifier": "O08", "position": [5, 1], "step": 72, "ordinal_position": 73}, {"identifier": "N32", "position": [5, 2], "step": 73, "ordinal_position": 74}, {"identifier": "G85", "position": [5, 3], "step": 74, "ordinal_position": 75}, {"identifier": "I72", "position": [6, 3], "step": 75, "ordinal_position": 76}, {"identifier": "S75", "position": [7, 3], "step": 76, "ordinal_position": 77}, {"identifier": "I20", "position": [7, 2], "step": 77, "ordinal_position": 78}, {"identifier": "J31", "position": [7, 1], "step": 78, "ordinal_position": 79}, {"identifier": "X52", "position": [8, 1], "step": 79, "ordinal_position": 80}, {"identifier": "Y41", "position": [9, 1], "step": 80, "ordinal_position": 81}, {"identifier": "E10", "position": [10, 1], "step": 81, "ordinal_position": 82}, {"identifier": "W43", "position": [11, 1], "step": 82, "ordinal_position": 83}, {"identifier": "U47", "position": [12, 1], "step": 83, "ordinal_position": 84}, {"identifier": "T84", "position": [13, 1], "step": 84, "ordinal_position": 85}, {"identifier": "G48", "position": [14, 1], "step": 85, "ordinal_position": 86}, {"identifier": "U84", "position": [15, 1], "step": 86, "ordinal_position": 87}, {"identifier": "B87", "position": [15, 2], "step": 87, "ordinal_position": 88}, {"identifier": "Z84", "position": [15, 3], "step": 88, "ordinal_position": 89}, {"identifier": "W23", "position": [15, 4], "step": 89, "ordinal_position": 90}, {"identifier": "D33", "position": [15, 5], "step": 90, "ordinal_position": 91}, {"identifier": "M58", "position": [16, 5], "step": 91, "ordinal_position": 92}, {"identifier": "F53", "position": [17, 5], "step": 92, "ordinal_position": 93}, {"identifier": "H65", "position": [18, 5], "step": 93, "ordinal_position": 94}, {"identifier": "K61", "position": [19, 5], "step": 94, "ordinal_position": 95}, {"identifier": "W57", "position": [19, 6], "step": 95, "ordinal_position": 96}, {"identifier": "M23", "position": [19, 7], "step": 96, "ordinal_position": 97}, {"identifier": "I22", "position": [19, 8], "step": 97, "ordinal_position": 98}, {"identifier": "I50", "position": [19, 9], "step": 98, "ordinal_position": 99}, {"identifier": "O76", "position": [19, 10], "step": 99, "ordinal_position": 100}, {"identifier": "K33", "position": [19, 11], "step": 100, "ordinal_position": 101}, {"identifier": "M88", "position": [18, 11], "step": 101, "ordinal_position": 102}, {"identifier": "U64", "position": [17, 11], "step": 102, "ordinal_position": 103}, {"identifier": "Q02", "position": [17, 12], "step": 103, "ordinal_position": 104}, {"identifier": "H50", "position": [17, 13], "step": 104, "ordinal_position": 105}, {"identifier": "Y63", "position": [18, 13], "step": 105, "ordinal_position": 106}, {"identifier": "S87", "position": [19, 13], "step": 106, "ordinal_position": 107}, {"identifier": "N40", "position": [19, 14], "step": 107, "ordinal_position": 108}, {"identifier": "X58", "position": [19, 15], "step": 108, "ordinal_position": 109}, {"identifier": "Z30", "position": [19, 16], "step": 109, "ordinal_position": 110}, {"identifier": "Q93", "position": [19, 17], "step": 110, "ordinal_position": 111}, {"identifier": "A59", "position": [19, 18], "step": 111, "ordinal_position": 112}, {"identifier": "E69", "position": [19, 19], "step": 112, "ordinal_position": 113}, {"identifier": "D13", "position": [18, 19], "step": 113, "ordinal_position": 114}, {"identifier": "J16", "position": [17, 19], "step": 114, "ordinal_position": 115}, {"identifier": "L52", "position": [16, 19], "step": 115, "ordinal_position": 116}, {"identifier": "N13", "position": [15, 19], "step": 116, "ordinal_position": 117}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 117, "direction": "up", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_001.json"}} {"qa_id": "df5af4ac224f4124839d5f1279fa2956", "image_id": "L3-MazeLoop-test_21x21_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y83, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 18th position in this traversal?", "start_object_id": "Y83", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [18], "ordinal_strings": ["18th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "L64", "traversal_path": [{"identifier": "Y83", "position": [12, 13], "step": 0, "ordinal_position": 1}, {"identifier": "R16", "position": [11, 13], "step": 1, "ordinal_position": 2}, {"identifier": "H42", "position": [10, 13], "step": 2, "ordinal_position": 3}, {"identifier": "I12", "position": [9, 13], "step": 3, "ordinal_position": 4}, {"identifier": "J60", "position": [8, 13], "step": 4, "ordinal_position": 5}, {"identifier": "P66", "position": [7, 13], "step": 5, "ordinal_position": 6}, {"identifier": "R43", "position": [6, 13], "step": 6, "ordinal_position": 7}, {"identifier": "F26", "position": [5, 13], "step": 7, "ordinal_position": 8}, {"identifier": "J86", "position": [5, 12], "step": 8, "ordinal_position": 9}, {"identifier": "S72", "position": [5, 11], "step": 9, "ordinal_position": 10}, {"identifier": "D45", "position": [5, 10], "step": 10, "ordinal_position": 11}, {"identifier": "H10", "position": [5, 9], "step": 11, "ordinal_position": 12}, {"identifier": "H26", "position": [6, 9], "step": 12, "ordinal_position": 13}, {"identifier": "I60", "position": [7, 9], "step": 13, "ordinal_position": 14}, {"identifier": "Y22", "position": [7, 8], "step": 14, "ordinal_position": 15}, {"identifier": "I52", "position": [7, 7], "step": 15, "ordinal_position": 16}, {"identifier": "I70", "position": [7, 6], "step": 16, "ordinal_position": 17}, {"identifier": "L64", "position": [7, 5], "step": 17, "ordinal_position": 18}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 18, "direction": "left", "turn_preference": "left", "total_objects": 215, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_002.json"}} {"qa_id": "6458e2bf509c45bf878409c1dc4d9f44", "image_id": "L3-MazeLoop-test_21x21_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D86, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 14th position in this traversal?", "start_object_id": "D86", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [14], "ordinal_strings": ["14th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "V55", "traversal_path": [{"identifier": "D86", "position": [9, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Q04", "position": [10, 1], "step": 1, "ordinal_position": 2}, {"identifier": "H84", "position": [11, 1], "step": 2, "ordinal_position": 3}, {"identifier": "D13", "position": [11, 2], "step": 3, "ordinal_position": 4}, {"identifier": "X80", "position": [11, 3], "step": 4, "ordinal_position": 5}, {"identifier": "T35", "position": [12, 3], "step": 5, "ordinal_position": 6}, {"identifier": "E14", "position": [13, 3], "step": 6, "ordinal_position": 7}, {"identifier": "T13", "position": [13, 2], "step": 7, "ordinal_position": 8}, {"identifier": "O12", "position": [13, 1], "step": 8, "ordinal_position": 9}, {"identifier": "G18", "position": [14, 1], "step": 9, "ordinal_position": 10}, {"identifier": "A19", "position": [15, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Q16", "position": [16, 1], "step": 11, "ordinal_position": 12}, {"identifier": "C98", "position": [17, 1], "step": 12, "ordinal_position": 13}, {"identifier": "V55", "position": [18, 1], "step": 13, "ordinal_position": 14}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 14, "direction": "right", "turn_preference": "right", "total_objects": 215, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_002.json"}} {"qa_id": "e4e4f9e41a97460c9ee882fec655a1fc", "image_id": "L3-MazeLoop-test_21x21_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H26, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "H26", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "L64", "traversal_path": [{"identifier": "H26", "position": [6, 9], "step": 0, "ordinal_position": 1}, {"identifier": "I60", "position": [7, 9], "step": 1, "ordinal_position": 2}, {"identifier": "Y22", "position": [7, 8], "step": 2, "ordinal_position": 3}, {"identifier": "I52", "position": [7, 7], "step": 3, "ordinal_position": 4}, {"identifier": "I70", "position": [7, 6], "step": 4, "ordinal_position": 5}, {"identifier": "L64", "position": [7, 5], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 6, "direction": "right", "turn_preference": "left", "total_objects": 215, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_002.json"}} {"qa_id": "c83c3f5267ca454fa1719fc325f772bb", "image_id": "L3-MazeLoop-test_21x21_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A79, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 12th position in this traversal?", "start_object_id": "A79", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [12], "ordinal_strings": ["12th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "B00", "traversal_path": [{"identifier": "A79", "position": [15, 11], "step": 0, "ordinal_position": 1}, {"identifier": "N70", "position": [16, 11], "step": 1, "ordinal_position": 2}, {"identifier": "N49", "position": [17, 11], "step": 2, "ordinal_position": 3}, {"identifier": "I86", "position": [17, 12], "step": 3, "ordinal_position": 4}, {"identifier": "H69", "position": [17, 13], "step": 4, "ordinal_position": 5}, {"identifier": "G39", "position": [18, 13], "step": 5, "ordinal_position": 6}, {"identifier": "D29", "position": [19, 13], "step": 6, "ordinal_position": 7}, {"identifier": "M13", "position": [19, 12], "step": 7, "ordinal_position": 8}, {"identifier": "F79", "position": [19, 11], "step": 8, "ordinal_position": 9}, {"identifier": "V50", "position": [19, 10], "step": 9, "ordinal_position": 10}, {"identifier": "D02", "position": [19, 9], "step": 10, "ordinal_position": 11}, {"identifier": "B00", "position": [19, 8], "step": 11, "ordinal_position": 12}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 12, "direction": "right", "turn_preference": "left", "total_objects": 215, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_002.json"}} {"qa_id": "f301dc1ead9b448f85b8d498cc195964", "image_id": "L3-MazeLoop-test_21x21_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q09, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "Q09", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "T09", "traversal_path": [{"identifier": "Q09", "position": [9, 11], "step": 0, "ordinal_position": 1}, {"identifier": "A64", "position": [10, 11], "step": 1, "ordinal_position": 2}, {"identifier": "N46", "position": [11, 11], "step": 2, "ordinal_position": 3}, {"identifier": "R76", "position": [12, 11], "step": 3, "ordinal_position": 4}, {"identifier": "Q55", "position": [13, 11], "step": 4, "ordinal_position": 5}, {"identifier": "T09", "position": [14, 11], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 6, "direction": "right", "turn_preference": "right", "total_objects": 215, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_002.json"}} {"qa_id": "9a3a2a63aa52487d8f23f6ce7aeee15d", "image_id": "L3-MazeLoop-test_21x21_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L64, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 77th position in this traversal?", "start_object_id": "L64", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [77], "ordinal_strings": ["77th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "B01", "traversal_path": [{"identifier": "L64", "position": [7, 5], "step": 0, "ordinal_position": 1}, {"identifier": "P01", "position": [6, 5], "step": 1, "ordinal_position": 2}, {"identifier": "H87", "position": [5, 5], "step": 2, "ordinal_position": 3}, {"identifier": "X48", "position": [5, 4], "step": 3, "ordinal_position": 4}, {"identifier": "P35", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "M53", "position": [4, 3], "step": 5, "ordinal_position": 6}, {"identifier": "L41", "position": [3, 3], "step": 6, "ordinal_position": 7}, {"identifier": "Z32", "position": [2, 3], "step": 7, "ordinal_position": 8}, {"identifier": "Z00", "position": [1, 3], "step": 8, "ordinal_position": 9}, {"identifier": "U39", "position": [1, 2], "step": 9, "ordinal_position": 10}, {"identifier": "A98", "position": [1, 1], "step": 10, "ordinal_position": 11}, {"identifier": "K62", "position": [2, 1], "step": 11, "ordinal_position": 12}, {"identifier": "E74", "position": [3, 1], "step": 12, "ordinal_position": 13}, {"identifier": "Q18", "position": [4, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Q01", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "X41", "position": [6, 1], "step": 15, "ordinal_position": 16}, {"identifier": "D33", "position": [7, 1], "step": 16, "ordinal_position": 17}, {"identifier": "U97", "position": [7, 2], "step": 17, "ordinal_position": 18}, {"identifier": "O99", "position": [7, 3], "step": 18, "ordinal_position": 19}, {"identifier": "T26", "position": [8, 3], "step": 19, "ordinal_position": 20}, {"identifier": "U08", "position": [9, 3], "step": 20, "ordinal_position": 21}, {"identifier": "Z13", "position": [9, 2], "step": 21, "ordinal_position": 22}, {"identifier": "D86", "position": [9, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Q04", "position": [10, 1], "step": 23, "ordinal_position": 24}, {"identifier": "H84", "position": [11, 1], "step": 24, "ordinal_position": 25}, {"identifier": "D13", "position": [11, 2], "step": 25, "ordinal_position": 26}, {"identifier": "X80", "position": [11, 3], "step": 26, "ordinal_position": 27}, {"identifier": "T35", "position": [12, 3], "step": 27, "ordinal_position": 28}, {"identifier": "E14", "position": [13, 3], "step": 28, "ordinal_position": 29}, {"identifier": "T13", "position": [13, 2], "step": 29, "ordinal_position": 30}, {"identifier": "O12", "position": [13, 1], "step": 30, "ordinal_position": 31}, {"identifier": "G18", "position": [14, 1], "step": 31, "ordinal_position": 32}, {"identifier": "A19", "position": [15, 1], "step": 32, "ordinal_position": 33}, {"identifier": "Q16", "position": [16, 1], "step": 33, "ordinal_position": 34}, {"identifier": "C98", "position": [17, 1], "step": 34, "ordinal_position": 35}, {"identifier": "V55", "position": [18, 1], "step": 35, "ordinal_position": 36}, {"identifier": "I97", "position": [19, 1], "step": 36, "ordinal_position": 37}, {"identifier": "U02", "position": [19, 2], "step": 37, "ordinal_position": 38}, {"identifier": "A78", "position": [19, 3], "step": 38, "ordinal_position": 39}, {"identifier": "O74", "position": [19, 4], "step": 39, "ordinal_position": 40}, {"identifier": "C09", "position": [19, 5], "step": 40, "ordinal_position": 41}, {"identifier": "E30", "position": [19, 6], "step": 41, "ordinal_position": 42}, {"identifier": "A21", "position": [19, 7], "step": 42, "ordinal_position": 43}, {"identifier": "B00", "position": [19, 8], "step": 43, "ordinal_position": 44}, {"identifier": "D02", "position": [19, 9], "step": 44, "ordinal_position": 45}, {"identifier": "V50", "position": [19, 10], "step": 45, "ordinal_position": 46}, {"identifier": "F79", "position": [19, 11], "step": 46, "ordinal_position": 47}, {"identifier": "M13", "position": [19, 12], "step": 47, "ordinal_position": 48}, {"identifier": "D29", "position": [19, 13], "step": 48, "ordinal_position": 49}, {"identifier": "R07", "position": [19, 14], "step": 49, "ordinal_position": 50}, {"identifier": "Y43", "position": [19, 15], "step": 50, "ordinal_position": 51}, {"identifier": "Y01", "position": [19, 16], "step": 51, "ordinal_position": 52}, {"identifier": "V03", "position": [19, 17], "step": 52, "ordinal_position": 53}, {"identifier": "F92", "position": [19, 18], "step": 53, "ordinal_position": 54}, {"identifier": "F72", "position": [19, 19], "step": 54, "ordinal_position": 55}, {"identifier": "M52", "position": [18, 19], "step": 55, "ordinal_position": 56}, {"identifier": "C45", "position": [17, 19], "step": 56, "ordinal_position": 57}, {"identifier": "L22", "position": [16, 19], "step": 57, "ordinal_position": 58}, {"identifier": "R51", "position": [15, 19], "step": 58, "ordinal_position": 59}, {"identifier": "R97", "position": [14, 19], "step": 59, "ordinal_position": 60}, {"identifier": "S97", "position": [13, 19], "step": 60, "ordinal_position": 61}, {"identifier": "T74", "position": [12, 19], "step": 61, "ordinal_position": 62}, {"identifier": "M62", "position": [11, 19], "step": 62, "ordinal_position": 63}, {"identifier": "T65", "position": [10, 19], "step": 63, "ordinal_position": 64}, {"identifier": "U06", "position": [9, 19], "step": 64, "ordinal_position": 65}, {"identifier": "E31", "position": [8, 19], "step": 65, "ordinal_position": 66}, {"identifier": "Z55", "position": [7, 19], "step": 66, "ordinal_position": 67}, {"identifier": "G40", "position": [7, 18], "step": 67, "ordinal_position": 68}, {"identifier": "H06", "position": [7, 17], "step": 68, "ordinal_position": 69}, {"identifier": "C19", "position": [6, 17], "step": 69, "ordinal_position": 70}, {"identifier": "N54", "position": [5, 17], "step": 70, "ordinal_position": 71}, {"identifier": "P75", "position": [5, 18], "step": 71, "ordinal_position": 72}, {"identifier": "A70", "position": [5, 19], "step": 72, "ordinal_position": 73}, {"identifier": "Z25", "position": [4, 19], "step": 73, "ordinal_position": 74}, {"identifier": "T56", "position": [3, 19], "step": 74, "ordinal_position": 75}, {"identifier": "H44", "position": [2, 19], "step": 75, "ordinal_position": 76}, {"identifier": "B01", "position": [1, 19], "step": 76, "ordinal_position": 77}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 77, "direction": "left", "turn_preference": "right", "total_objects": 215, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_002.json"}} {"qa_id": "bba2e0fae4564c95a7c431438f8a1258", "image_id": "L3-MazeLoop-test_21x21_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H21, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 63rd position in this traversal?", "start_object_id": "H21", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [63], "ordinal_strings": ["63rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "B20", "traversal_path": [{"identifier": "H21", "position": [13, 17], "step": 0, "ordinal_position": 1}, {"identifier": "Q74", "position": [12, 17], "step": 1, "ordinal_position": 2}, {"identifier": "K41", "position": [11, 17], "step": 2, "ordinal_position": 3}, {"identifier": "T90", "position": [10, 17], "step": 3, "ordinal_position": 4}, {"identifier": "P69", "position": [9, 17], "step": 4, "ordinal_position": 5}, {"identifier": "R79", "position": [9, 16], "step": 5, "ordinal_position": 6}, {"identifier": "B45", "position": [9, 15], "step": 6, "ordinal_position": 7}, {"identifier": "E55", "position": [10, 15], "step": 7, "ordinal_position": 8}, {"identifier": "D52", "position": [11, 15], "step": 8, "ordinal_position": 9}, {"identifier": "X76", "position": [11, 14], "step": 9, "ordinal_position": 10}, {"identifier": "R16", "position": [11, 13], "step": 10, "ordinal_position": 11}, {"identifier": "Y83", "position": [12, 13], "step": 11, "ordinal_position": 12}, {"identifier": "P27", "position": [13, 13], "step": 12, "ordinal_position": 13}, {"identifier": "Y11", "position": [14, 13], "step": 13, "ordinal_position": 14}, {"identifier": "V93", "position": [15, 13], "step": 14, "ordinal_position": 15}, {"identifier": "Q88", "position": [15, 14], "step": 15, "ordinal_position": 16}, {"identifier": "W33", "position": [15, 15], "step": 16, "ordinal_position": 17}, {"identifier": "V26", "position": [15, 16], "step": 17, "ordinal_position": 18}, {"identifier": "E11", "position": [15, 17], "step": 18, "ordinal_position": 19}, {"identifier": "Y37", "position": [15, 18], "step": 19, "ordinal_position": 20}, {"identifier": "R51", "position": [15, 19], "step": 20, "ordinal_position": 21}, {"identifier": "R97", "position": [14, 19], "step": 21, "ordinal_position": 22}, {"identifier": "S97", "position": [13, 19], "step": 22, "ordinal_position": 23}, {"identifier": "T74", "position": [12, 19], "step": 23, "ordinal_position": 24}, {"identifier": "M62", "position": [11, 19], "step": 24, "ordinal_position": 25}, {"identifier": "T65", "position": [10, 19], "step": 25, "ordinal_position": 26}, {"identifier": "U06", "position": [9, 19], "step": 26, "ordinal_position": 27}, {"identifier": "E31", "position": [8, 19], "step": 27, "ordinal_position": 28}, {"identifier": "Z55", "position": [7, 19], "step": 28, "ordinal_position": 29}, {"identifier": "G40", "position": [7, 18], "step": 29, "ordinal_position": 30}, {"identifier": "H06", "position": [7, 17], "step": 30, "ordinal_position": 31}, {"identifier": "C19", "position": [6, 17], "step": 31, "ordinal_position": 32}, {"identifier": "N54", "position": [5, 17], "step": 32, "ordinal_position": 33}, {"identifier": "P75", "position": [5, 18], "step": 33, "ordinal_position": 34}, {"identifier": "A70", "position": [5, 19], "step": 34, "ordinal_position": 35}, {"identifier": "Z25", "position": [4, 19], "step": 35, "ordinal_position": 36}, {"identifier": "T56", "position": [3, 19], "step": 36, "ordinal_position": 37}, {"identifier": "H44", "position": [2, 19], "step": 37, "ordinal_position": 38}, {"identifier": "B01", "position": [1, 19], "step": 38, "ordinal_position": 39}, {"identifier": "V06", "position": [1, 18], "step": 39, "ordinal_position": 40}, {"identifier": "M68", "position": [1, 17], "step": 40, "ordinal_position": 41}, {"identifier": "Q58", "position": [1, 16], "step": 41, "ordinal_position": 42}, {"identifier": "B20", "position": [1, 15], "step": 42, "ordinal_position": 43}, {"identifier": "C91", "position": [1, 14], "step": 43, "ordinal_position": 44}, {"identifier": "I82", "position": [1, 13], "step": 44, "ordinal_position": 45}, {"identifier": "E59", "position": [1, 12], "step": 45, "ordinal_position": 46}, {"identifier": "A47", "position": [1, 11], "step": 46, "ordinal_position": 47}, {"identifier": "V32", "position": [2, 11], "step": 47, "ordinal_position": 48}, {"identifier": "I17", "position": [3, 11], "step": 48, "ordinal_position": 49}, {"identifier": "G45", "position": [3, 12], "step": 49, "ordinal_position": 50}, {"identifier": "T76", "position": [3, 13], "step": 50, "ordinal_position": 51}, {"identifier": "K51", "position": [3, 14], "step": 51, "ordinal_position": 52}, {"identifier": "R35", "position": [3, 15], "step": 52, "ordinal_position": 53}, {"identifier": "T83", "position": [3, 16], "step": 53, "ordinal_position": 54}, {"identifier": "R12", "position": [3, 17], "step": 54, "ordinal_position": 55}, {"identifier": "E17", "position": [3, 18], "step": 55, "ordinal_position": 56}, {"identifier": "T56", "position": [3, 19], "step": 56, "ordinal_position": 57}, {"identifier": "H44", "position": [2, 19], "step": 57, "ordinal_position": 58}, {"identifier": "B01", "position": [1, 19], "step": 58, "ordinal_position": 59}, {"identifier": "V06", "position": [1, 18], "step": 59, "ordinal_position": 60}, {"identifier": "M68", "position": [1, 17], "step": 60, "ordinal_position": 61}, {"identifier": "Q58", "position": [1, 16], "step": 61, "ordinal_position": 62}, {"identifier": "B20", "position": [1, 15], "step": 62, "ordinal_position": 63}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 63, "direction": "left", "turn_preference": "right", "total_objects": 215, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_002.json"}} {"qa_id": "7c6caed81d2043a2ae321b6ddc9c7248", "image_id": "L3-MazeLoop-test_21x21_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S49, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 39th position in this traversal?", "start_object_id": "S49", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [39], "ordinal_strings": ["39th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "U89", "traversal_path": [{"identifier": "S49", "position": [3, 7], "step": 0, "ordinal_position": 1}, {"identifier": "V82", "position": [3, 6], "step": 1, "ordinal_position": 2}, {"identifier": "U89", "position": [3, 5], "step": 2, "ordinal_position": 3}, {"identifier": "L23", "position": [3, 4], "step": 3, "ordinal_position": 4}, {"identifier": "L41", "position": [3, 3], "step": 4, "ordinal_position": 5}, {"identifier": "M53", "position": [4, 3], "step": 5, "ordinal_position": 6}, {"identifier": "P35", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "X48", "position": [5, 4], "step": 7, "ordinal_position": 8}, {"identifier": "H87", "position": [5, 5], "step": 8, "ordinal_position": 9}, {"identifier": "U95", "position": [5, 6], "step": 9, "ordinal_position": 10}, {"identifier": "G94", "position": [5, 7], "step": 10, "ordinal_position": 11}, {"identifier": "D84", "position": [4, 7], "step": 11, "ordinal_position": 12}, {"identifier": "S49", "position": [3, 7], "step": 12, "ordinal_position": 13}, {"identifier": "V82", "position": [3, 6], "step": 13, "ordinal_position": 14}, {"identifier": "U89", "position": [3, 5], "step": 14, "ordinal_position": 15}, {"identifier": "L23", "position": [3, 4], "step": 15, "ordinal_position": 16}, {"identifier": "L41", "position": [3, 3], "step": 16, "ordinal_position": 17}, {"identifier": "M53", "position": [4, 3], "step": 17, "ordinal_position": 18}, {"identifier": "P35", "position": [5, 3], "step": 18, "ordinal_position": 19}, {"identifier": "X48", "position": [5, 4], "step": 19, "ordinal_position": 20}, {"identifier": "H87", "position": [5, 5], "step": 20, "ordinal_position": 21}, {"identifier": "U95", "position": [5, 6], "step": 21, "ordinal_position": 22}, {"identifier": "G94", "position": [5, 7], "step": 22, "ordinal_position": 23}, {"identifier": "D84", "position": [4, 7], "step": 23, "ordinal_position": 24}, {"identifier": "S49", "position": [3, 7], "step": 24, "ordinal_position": 25}, {"identifier": "V82", "position": [3, 6], "step": 25, "ordinal_position": 26}, {"identifier": "U89", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "L23", "position": [3, 4], "step": 27, "ordinal_position": 28}, {"identifier": "L41", "position": [3, 3], "step": 28, "ordinal_position": 29}, {"identifier": "M53", "position": [4, 3], "step": 29, "ordinal_position": 30}, {"identifier": "P35", "position": [5, 3], "step": 30, "ordinal_position": 31}, {"identifier": "X48", "position": [5, 4], "step": 31, "ordinal_position": 32}, {"identifier": "H87", "position": [5, 5], "step": 32, "ordinal_position": 33}, {"identifier": "U95", "position": [5, 6], "step": 33, "ordinal_position": 34}, {"identifier": "G94", "position": [5, 7], "step": 34, "ordinal_position": 35}, {"identifier": "D84", "position": [4, 7], "step": 35, "ordinal_position": 36}, {"identifier": "S49", "position": [3, 7], "step": 36, "ordinal_position": 37}, {"identifier": "V82", "position": [3, 6], "step": 37, "ordinal_position": 38}, {"identifier": "U89", "position": [3, 5], "step": 38, "ordinal_position": 39}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 39, "direction": "up", "turn_preference": "right", "total_objects": 215, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_002.json"}} {"qa_id": "b14da7589b4240c5ad3131299d1ffea5", "image_id": "L3-MazeLoop-test_21x21_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E31, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 95th position in this traversal?", "start_object_id": "E31", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [95], "ordinal_strings": ["95th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "E17", "traversal_path": [{"identifier": "E31", "position": [8, 19], "step": 0, "ordinal_position": 1}, {"identifier": "U06", "position": [9, 19], "step": 1, "ordinal_position": 2}, {"identifier": "T65", "position": [10, 19], "step": 2, "ordinal_position": 3}, {"identifier": "M62", "position": [11, 19], "step": 3, "ordinal_position": 4}, {"identifier": "T74", "position": [12, 19], "step": 4, "ordinal_position": 5}, {"identifier": "S97", "position": [13, 19], "step": 5, "ordinal_position": 6}, {"identifier": "R97", "position": [14, 19], "step": 6, "ordinal_position": 7}, {"identifier": "R51", "position": [15, 19], "step": 7, "ordinal_position": 8}, {"identifier": "L22", "position": [16, 19], "step": 8, "ordinal_position": 9}, {"identifier": "C45", "position": [17, 19], "step": 9, "ordinal_position": 10}, {"identifier": "M52", "position": [18, 19], "step": 10, "ordinal_position": 11}, {"identifier": "F72", "position": [19, 19], "step": 11, "ordinal_position": 12}, {"identifier": "F92", "position": [19, 18], "step": 12, "ordinal_position": 13}, {"identifier": "V03", "position": [19, 17], "step": 13, "ordinal_position": 14}, {"identifier": "Y01", "position": [19, 16], "step": 14, "ordinal_position": 15}, {"identifier": "Y43", "position": [19, 15], "step": 15, "ordinal_position": 16}, {"identifier": "R07", "position": [19, 14], "step": 16, "ordinal_position": 17}, {"identifier": "D29", "position": [19, 13], "step": 17, "ordinal_position": 18}, {"identifier": "M13", "position": [19, 12], "step": 18, "ordinal_position": 19}, {"identifier": "F79", "position": [19, 11], "step": 19, "ordinal_position": 20}, {"identifier": "V50", "position": [19, 10], "step": 20, "ordinal_position": 21}, {"identifier": "D02", "position": [19, 9], "step": 21, "ordinal_position": 22}, {"identifier": "B00", "position": [19, 8], "step": 22, "ordinal_position": 23}, {"identifier": "A21", "position": [19, 7], "step": 23, "ordinal_position": 24}, {"identifier": "E30", "position": [19, 6], "step": 24, "ordinal_position": 25}, {"identifier": "C09", "position": [19, 5], "step": 25, "ordinal_position": 26}, {"identifier": "O74", "position": [19, 4], "step": 26, "ordinal_position": 27}, {"identifier": "A78", "position": [19, 3], "step": 27, "ordinal_position": 28}, {"identifier": "U02", "position": [19, 2], "step": 28, "ordinal_position": 29}, {"identifier": "I97", "position": [19, 1], "step": 29, "ordinal_position": 30}, {"identifier": "V55", "position": [18, 1], "step": 30, "ordinal_position": 31}, {"identifier": "C98", "position": [17, 1], "step": 31, "ordinal_position": 32}, {"identifier": "Q16", "position": [16, 1], "step": 32, "ordinal_position": 33}, {"identifier": "A19", "position": [15, 1], "step": 33, "ordinal_position": 34}, {"identifier": "G18", "position": [14, 1], "step": 34, "ordinal_position": 35}, {"identifier": "O12", "position": [13, 1], "step": 35, "ordinal_position": 36}, {"identifier": "T13", "position": [13, 2], "step": 36, "ordinal_position": 37}, {"identifier": "E14", "position": [13, 3], "step": 37, "ordinal_position": 38}, {"identifier": "T35", "position": [12, 3], "step": 38, "ordinal_position": 39}, {"identifier": "X80", "position": [11, 3], "step": 39, "ordinal_position": 40}, {"identifier": "D13", "position": [11, 2], "step": 40, "ordinal_position": 41}, {"identifier": "H84", "position": [11, 1], "step": 41, "ordinal_position": 42}, {"identifier": "Q04", "position": [10, 1], "step": 42, "ordinal_position": 43}, {"identifier": "D86", "position": [9, 1], "step": 43, "ordinal_position": 44}, {"identifier": "Z13", "position": [9, 2], "step": 44, "ordinal_position": 45}, {"identifier": "U08", "position": [9, 3], "step": 45, "ordinal_position": 46}, {"identifier": "T26", "position": [8, 3], "step": 46, "ordinal_position": 47}, {"identifier": "O99", "position": [7, 3], "step": 47, "ordinal_position": 48}, {"identifier": "U97", "position": [7, 2], "step": 48, "ordinal_position": 49}, {"identifier": "D33", "position": [7, 1], "step": 49, "ordinal_position": 50}, {"identifier": "X41", "position": [6, 1], "step": 50, "ordinal_position": 51}, {"identifier": "Q01", "position": [5, 1], "step": 51, "ordinal_position": 52}, {"identifier": "Q18", "position": [4, 1], "step": 52, "ordinal_position": 53}, {"identifier": "E74", "position": [3, 1], "step": 53, "ordinal_position": 54}, {"identifier": "K62", "position": [2, 1], "step": 54, "ordinal_position": 55}, {"identifier": "A98", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "U39", "position": [1, 2], "step": 56, "ordinal_position": 57}, {"identifier": "Z00", "position": [1, 3], "step": 57, "ordinal_position": 58}, {"identifier": "E85", "position": [1, 4], "step": 58, "ordinal_position": 59}, {"identifier": "Z44", "position": [1, 5], "step": 59, "ordinal_position": 60}, {"identifier": "J21", "position": [1, 6], "step": 60, "ordinal_position": 61}, {"identifier": "Q50", "position": [1, 7], "step": 61, "ordinal_position": 62}, {"identifier": "V44", "position": [1, 8], "step": 62, "ordinal_position": 63}, {"identifier": "W15", "position": [1, 9], "step": 63, "ordinal_position": 64}, {"identifier": "S07", "position": [2, 9], "step": 64, "ordinal_position": 65}, {"identifier": "I68", "position": [3, 9], "step": 65, "ordinal_position": 66}, {"identifier": "B53", "position": [3, 10], "step": 66, "ordinal_position": 67}, {"identifier": "I17", "position": [3, 11], "step": 67, "ordinal_position": 68}, {"identifier": "G45", "position": [3, 12], "step": 68, "ordinal_position": 69}, {"identifier": "T76", "position": [3, 13], "step": 69, "ordinal_position": 70}, {"identifier": "K51", "position": [3, 14], "step": 70, "ordinal_position": 71}, {"identifier": "R35", "position": [3, 15], "step": 71, "ordinal_position": 72}, {"identifier": "T83", "position": [3, 16], "step": 72, "ordinal_position": 73}, {"identifier": "R12", "position": [3, 17], "step": 73, "ordinal_position": 74}, {"identifier": "E17", "position": [3, 18], "step": 74, "ordinal_position": 75}, {"identifier": "T56", "position": [3, 19], "step": 75, "ordinal_position": 76}, {"identifier": "H44", "position": [2, 19], "step": 76, "ordinal_position": 77}, {"identifier": "B01", "position": [1, 19], "step": 77, "ordinal_position": 78}, {"identifier": "V06", "position": [1, 18], "step": 78, "ordinal_position": 79}, {"identifier": "M68", "position": [1, 17], "step": 79, "ordinal_position": 80}, {"identifier": "Q58", "position": [1, 16], "step": 80, "ordinal_position": 81}, {"identifier": "B20", "position": [1, 15], "step": 81, "ordinal_position": 82}, {"identifier": "C91", "position": [1, 14], "step": 82, "ordinal_position": 83}, {"identifier": "I82", "position": [1, 13], "step": 83, "ordinal_position": 84}, {"identifier": "E59", "position": [1, 12], "step": 84, "ordinal_position": 85}, {"identifier": "A47", "position": [1, 11], "step": 85, "ordinal_position": 86}, {"identifier": "V32", "position": [2, 11], "step": 86, "ordinal_position": 87}, {"identifier": "I17", "position": [3, 11], "step": 87, "ordinal_position": 88}, {"identifier": "G45", "position": [3, 12], "step": 88, "ordinal_position": 89}, {"identifier": "T76", "position": [3, 13], "step": 89, "ordinal_position": 90}, {"identifier": "K51", "position": [3, 14], "step": 90, "ordinal_position": 91}, {"identifier": "R35", "position": [3, 15], "step": 91, "ordinal_position": 92}, {"identifier": "T83", "position": [3, 16], "step": 92, "ordinal_position": 93}, {"identifier": "R12", "position": [3, 17], "step": 93, "ordinal_position": 94}, {"identifier": "E17", "position": [3, 18], "step": 94, "ordinal_position": 95}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 95, "direction": "right", "turn_preference": "right", "total_objects": 215, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_002.json"}} {"qa_id": "0ec86d00f63c4cc7a60dbc4ca20935ae", "image_id": "L3-MazeLoop-test_21x21_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E31, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 48th position in this traversal?", "start_object_id": "E31", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [48], "ordinal_strings": ["48th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "O99", "traversal_path": [{"identifier": "E31", "position": [8, 19], "step": 0, "ordinal_position": 1}, {"identifier": "U06", "position": [9, 19], "step": 1, "ordinal_position": 2}, {"identifier": "T65", "position": [10, 19], "step": 2, "ordinal_position": 3}, {"identifier": "M62", "position": [11, 19], "step": 3, "ordinal_position": 4}, {"identifier": "T74", "position": [12, 19], "step": 4, "ordinal_position": 5}, {"identifier": "S97", "position": [13, 19], "step": 5, "ordinal_position": 6}, {"identifier": "R97", "position": [14, 19], "step": 6, "ordinal_position": 7}, {"identifier": "R51", "position": [15, 19], "step": 7, "ordinal_position": 8}, {"identifier": "L22", "position": [16, 19], "step": 8, "ordinal_position": 9}, {"identifier": "C45", "position": [17, 19], "step": 9, "ordinal_position": 10}, {"identifier": "M52", "position": [18, 19], "step": 10, "ordinal_position": 11}, {"identifier": "F72", "position": [19, 19], "step": 11, "ordinal_position": 12}, {"identifier": "F92", "position": [19, 18], "step": 12, "ordinal_position": 13}, {"identifier": "V03", "position": [19, 17], "step": 13, "ordinal_position": 14}, {"identifier": "Y01", "position": [19, 16], "step": 14, "ordinal_position": 15}, {"identifier": "Y43", "position": [19, 15], "step": 15, "ordinal_position": 16}, {"identifier": "R07", "position": [19, 14], "step": 16, "ordinal_position": 17}, {"identifier": "D29", "position": [19, 13], "step": 17, "ordinal_position": 18}, {"identifier": "M13", "position": [19, 12], "step": 18, "ordinal_position": 19}, {"identifier": "F79", "position": [19, 11], "step": 19, "ordinal_position": 20}, {"identifier": "V50", "position": [19, 10], "step": 20, "ordinal_position": 21}, {"identifier": "D02", "position": [19, 9], "step": 21, "ordinal_position": 22}, {"identifier": "B00", "position": [19, 8], "step": 22, "ordinal_position": 23}, {"identifier": "A21", "position": [19, 7], "step": 23, "ordinal_position": 24}, {"identifier": "E30", "position": [19, 6], "step": 24, "ordinal_position": 25}, {"identifier": "C09", "position": [19, 5], "step": 25, "ordinal_position": 26}, {"identifier": "O74", "position": [19, 4], "step": 26, "ordinal_position": 27}, {"identifier": "A78", "position": [19, 3], "step": 27, "ordinal_position": 28}, {"identifier": "U02", "position": [19, 2], "step": 28, "ordinal_position": 29}, {"identifier": "I97", "position": [19, 1], "step": 29, "ordinal_position": 30}, {"identifier": "V55", "position": [18, 1], "step": 30, "ordinal_position": 31}, {"identifier": "C98", "position": [17, 1], "step": 31, "ordinal_position": 32}, {"identifier": "Q16", "position": [16, 1], "step": 32, "ordinal_position": 33}, {"identifier": "A19", "position": [15, 1], "step": 33, "ordinal_position": 34}, {"identifier": "G18", "position": [14, 1], "step": 34, "ordinal_position": 35}, {"identifier": "O12", "position": [13, 1], "step": 35, "ordinal_position": 36}, {"identifier": "T13", "position": [13, 2], "step": 36, "ordinal_position": 37}, {"identifier": "E14", "position": [13, 3], "step": 37, "ordinal_position": 38}, {"identifier": "T35", "position": [12, 3], "step": 38, "ordinal_position": 39}, {"identifier": "X80", "position": [11, 3], "step": 39, "ordinal_position": 40}, {"identifier": "D13", "position": [11, 2], "step": 40, "ordinal_position": 41}, {"identifier": "H84", "position": [11, 1], "step": 41, "ordinal_position": 42}, {"identifier": "Q04", "position": [10, 1], "step": 42, "ordinal_position": 43}, {"identifier": "D86", "position": [9, 1], "step": 43, "ordinal_position": 44}, {"identifier": "Z13", "position": [9, 2], "step": 44, "ordinal_position": 45}, {"identifier": "U08", "position": [9, 3], "step": 45, "ordinal_position": 46}, {"identifier": "T26", "position": [8, 3], "step": 46, "ordinal_position": 47}, {"identifier": "O99", "position": [7, 3], "step": 47, "ordinal_position": 48}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 48, "direction": "right", "turn_preference": "right", "total_objects": 215, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_002.json"}} {"qa_id": "a020c5f10abe4873ac95c5894100c947", "image_id": "L3-MazeLoop-test_21x21_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V06, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 110th position in this traversal?", "start_object_id": "V06", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [110], "ordinal_strings": ["110th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "V03", "traversal_path": [{"identifier": "V06", "position": [1, 18], "step": 0, "ordinal_position": 1}, {"identifier": "B01", "position": [1, 19], "step": 1, "ordinal_position": 2}, {"identifier": "H44", "position": [2, 19], "step": 2, "ordinal_position": 3}, {"identifier": "T56", "position": [3, 19], "step": 3, "ordinal_position": 4}, {"identifier": "Z25", "position": [4, 19], "step": 4, "ordinal_position": 5}, {"identifier": "A70", "position": [5, 19], "step": 5, "ordinal_position": 6}, {"identifier": "P75", "position": [5, 18], "step": 6, "ordinal_position": 7}, {"identifier": "N54", "position": [5, 17], "step": 7, "ordinal_position": 8}, {"identifier": "C19", "position": [6, 17], "step": 8, "ordinal_position": 9}, {"identifier": "H06", "position": [7, 17], "step": 9, "ordinal_position": 10}, {"identifier": "G40", "position": [7, 18], "step": 10, "ordinal_position": 11}, {"identifier": "Z55", "position": [7, 19], "step": 11, "ordinal_position": 12}, {"identifier": "E31", "position": [8, 19], "step": 12, "ordinal_position": 13}, {"identifier": "U06", "position": [9, 19], "step": 13, "ordinal_position": 14}, {"identifier": "T65", "position": [10, 19], "step": 14, "ordinal_position": 15}, {"identifier": "M62", "position": [11, 19], "step": 15, "ordinal_position": 16}, {"identifier": "T74", "position": [12, 19], "step": 16, "ordinal_position": 17}, {"identifier": "S97", "position": [13, 19], "step": 17, "ordinal_position": 18}, {"identifier": "R97", "position": [14, 19], "step": 18, "ordinal_position": 19}, {"identifier": "R51", "position": [15, 19], "step": 19, "ordinal_position": 20}, {"identifier": "L22", "position": [16, 19], "step": 20, "ordinal_position": 21}, {"identifier": "C45", "position": [17, 19], "step": 21, "ordinal_position": 22}, {"identifier": "M52", "position": [18, 19], "step": 22, "ordinal_position": 23}, {"identifier": "F72", "position": [19, 19], "step": 23, "ordinal_position": 24}, {"identifier": "F92", "position": [19, 18], "step": 24, "ordinal_position": 25}, {"identifier": "V03", "position": [19, 17], "step": 25, "ordinal_position": 26}, {"identifier": "Y01", "position": [19, 16], "step": 26, "ordinal_position": 27}, {"identifier": "Y43", "position": [19, 15], "step": 27, "ordinal_position": 28}, {"identifier": "R07", "position": [19, 14], "step": 28, "ordinal_position": 29}, {"identifier": "D29", "position": [19, 13], "step": 29, "ordinal_position": 30}, {"identifier": "M13", "position": [19, 12], "step": 30, "ordinal_position": 31}, {"identifier": "F79", "position": [19, 11], "step": 31, "ordinal_position": 32}, {"identifier": "V50", "position": [19, 10], "step": 32, "ordinal_position": 33}, {"identifier": "D02", "position": [19, 9], "step": 33, "ordinal_position": 34}, {"identifier": "B00", "position": [19, 8], "step": 34, "ordinal_position": 35}, {"identifier": "A21", "position": [19, 7], "step": 35, "ordinal_position": 36}, {"identifier": "E30", "position": [19, 6], "step": 36, "ordinal_position": 37}, {"identifier": "C09", "position": [19, 5], "step": 37, "ordinal_position": 38}, {"identifier": "O74", "position": [19, 4], "step": 38, "ordinal_position": 39}, {"identifier": "A78", "position": [19, 3], "step": 39, "ordinal_position": 40}, {"identifier": "U02", "position": [19, 2], "step": 40, "ordinal_position": 41}, {"identifier": "I97", "position": [19, 1], "step": 41, "ordinal_position": 42}, {"identifier": "V55", "position": [18, 1], "step": 42, "ordinal_position": 43}, {"identifier": "C98", "position": [17, 1], "step": 43, "ordinal_position": 44}, {"identifier": "Q16", "position": [16, 1], "step": 44, "ordinal_position": 45}, {"identifier": "A19", "position": [15, 1], "step": 45, "ordinal_position": 46}, {"identifier": "G18", "position": [14, 1], "step": 46, "ordinal_position": 47}, {"identifier": "O12", "position": [13, 1], "step": 47, "ordinal_position": 48}, {"identifier": "T13", "position": [13, 2], "step": 48, "ordinal_position": 49}, {"identifier": "E14", "position": [13, 3], "step": 49, "ordinal_position": 50}, {"identifier": "T35", "position": [12, 3], "step": 50, "ordinal_position": 51}, {"identifier": "X80", "position": [11, 3], "step": 51, "ordinal_position": 52}, {"identifier": "D13", "position": [11, 2], "step": 52, "ordinal_position": 53}, {"identifier": "H84", "position": [11, 1], "step": 53, "ordinal_position": 54}, {"identifier": "Q04", "position": [10, 1], "step": 54, "ordinal_position": 55}, {"identifier": "D86", "position": [9, 1], "step": 55, "ordinal_position": 56}, {"identifier": "Z13", "position": [9, 2], "step": 56, "ordinal_position": 57}, {"identifier": "U08", "position": [9, 3], "step": 57, "ordinal_position": 58}, {"identifier": "T26", "position": [8, 3], "step": 58, "ordinal_position": 59}, {"identifier": "O99", "position": [7, 3], "step": 59, "ordinal_position": 60}, {"identifier": "U97", "position": [7, 2], "step": 60, "ordinal_position": 61}, {"identifier": "D33", "position": [7, 1], "step": 61, "ordinal_position": 62}, {"identifier": "X41", "position": [6, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Q01", "position": [5, 1], "step": 63, "ordinal_position": 64}, {"identifier": "Q18", "position": [4, 1], "step": 64, "ordinal_position": 65}, {"identifier": "E74", "position": [3, 1], "step": 65, "ordinal_position": 66}, {"identifier": "K62", "position": [2, 1], "step": 66, "ordinal_position": 67}, {"identifier": "A98", "position": [1, 1], "step": 67, "ordinal_position": 68}, {"identifier": "U39", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "Z00", "position": [1, 3], "step": 69, "ordinal_position": 70}, {"identifier": "E85", "position": [1, 4], "step": 70, "ordinal_position": 71}, {"identifier": "Z44", "position": [1, 5], "step": 71, "ordinal_position": 72}, {"identifier": "J21", "position": [1, 6], "step": 72, "ordinal_position": 73}, {"identifier": "Q50", "position": [1, 7], "step": 73, "ordinal_position": 74}, {"identifier": "V44", "position": [1, 8], "step": 74, "ordinal_position": 75}, {"identifier": "W15", "position": [1, 9], "step": 75, "ordinal_position": 76}, {"identifier": "S07", "position": [2, 9], "step": 76, "ordinal_position": 77}, {"identifier": "I68", "position": [3, 9], "step": 77, "ordinal_position": 78}, {"identifier": "B53", "position": [3, 10], "step": 78, "ordinal_position": 79}, {"identifier": "I17", "position": [3, 11], "step": 79, "ordinal_position": 80}, {"identifier": "G45", "position": [3, 12], "step": 80, "ordinal_position": 81}, {"identifier": "T76", "position": [3, 13], "step": 81, "ordinal_position": 82}, {"identifier": "K51", "position": [3, 14], "step": 82, "ordinal_position": 83}, {"identifier": "R35", "position": [3, 15], "step": 83, "ordinal_position": 84}, {"identifier": "T83", "position": [3, 16], "step": 84, "ordinal_position": 85}, {"identifier": "R12", "position": [3, 17], "step": 85, "ordinal_position": 86}, {"identifier": "E17", "position": [3, 18], "step": 86, "ordinal_position": 87}, {"identifier": "T56", "position": [3, 19], "step": 87, "ordinal_position": 88}, {"identifier": "Z25", "position": [4, 19], "step": 88, "ordinal_position": 89}, {"identifier": "A70", "position": [5, 19], "step": 89, "ordinal_position": 90}, {"identifier": "P75", "position": [5, 18], "step": 90, "ordinal_position": 91}, {"identifier": "N54", "position": [5, 17], "step": 91, "ordinal_position": 92}, {"identifier": "C19", "position": [6, 17], "step": 92, "ordinal_position": 93}, {"identifier": "H06", "position": [7, 17], "step": 93, "ordinal_position": 94}, {"identifier": "G40", "position": [7, 18], "step": 94, "ordinal_position": 95}, {"identifier": "Z55", "position": [7, 19], "step": 95, "ordinal_position": 96}, {"identifier": "E31", "position": [8, 19], "step": 96, "ordinal_position": 97}, {"identifier": "U06", "position": [9, 19], "step": 97, "ordinal_position": 98}, {"identifier": "T65", "position": [10, 19], "step": 98, "ordinal_position": 99}, {"identifier": "M62", "position": [11, 19], "step": 99, "ordinal_position": 100}, {"identifier": "T74", "position": [12, 19], "step": 100, "ordinal_position": 101}, {"identifier": "S97", "position": [13, 19], "step": 101, "ordinal_position": 102}, {"identifier": "R97", "position": [14, 19], "step": 102, "ordinal_position": 103}, {"identifier": "R51", "position": [15, 19], "step": 103, "ordinal_position": 104}, {"identifier": "L22", "position": [16, 19], "step": 104, "ordinal_position": 105}, {"identifier": "C45", "position": [17, 19], "step": 105, "ordinal_position": 106}, {"identifier": "M52", "position": [18, 19], "step": 106, "ordinal_position": 107}, {"identifier": "F72", "position": [19, 19], "step": 107, "ordinal_position": 108}, {"identifier": "F92", "position": [19, 18], "step": 108, "ordinal_position": 109}, {"identifier": "V03", "position": [19, 17], "step": 109, "ordinal_position": 110}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 110, "direction": "down", "turn_preference": "left", "total_objects": 215, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_002.json"}} {"qa_id": "497ff27063474f01880eb7fd9198ffd3", "image_id": "L3-MazeLoop-test_21x21_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P24, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 211th position in this traversal?", "start_object_id": "P24", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [211], "ordinal_strings": ["211th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "G45", "traversal_path": [{"identifier": "P24", "position": [2, 15], "step": 0, "ordinal_position": 1}, {"identifier": "R35", "position": [3, 15], "step": 1, "ordinal_position": 2}, {"identifier": "S59", "position": [4, 15], "step": 2, "ordinal_position": 3}, {"identifier": "F64", "position": [5, 15], "step": 3, "ordinal_position": 4}, {"identifier": "A81", "position": [6, 15], "step": 4, "ordinal_position": 5}, {"identifier": "W46", "position": [7, 15], "step": 5, "ordinal_position": 6}, {"identifier": "V15", "position": [8, 15], "step": 6, "ordinal_position": 7}, {"identifier": "B45", "position": [9, 15], "step": 7, "ordinal_position": 8}, {"identifier": "E55", "position": [10, 15], "step": 8, "ordinal_position": 9}, {"identifier": "D52", "position": [11, 15], "step": 9, "ordinal_position": 10}, {"identifier": "X76", "position": [11, 14], "step": 10, "ordinal_position": 11}, {"identifier": "R16", "position": [11, 13], "step": 11, "ordinal_position": 12}, {"identifier": "Y83", "position": [12, 13], "step": 12, "ordinal_position": 13}, {"identifier": "P27", "position": [13, 13], "step": 13, "ordinal_position": 14}, {"identifier": "Y11", "position": [14, 13], "step": 14, "ordinal_position": 15}, {"identifier": "V93", "position": [15, 13], "step": 15, "ordinal_position": 16}, {"identifier": "Q88", "position": [15, 14], "step": 16, "ordinal_position": 17}, {"identifier": "W33", "position": [15, 15], "step": 17, "ordinal_position": 18}, {"identifier": "V26", "position": [15, 16], "step": 18, "ordinal_position": 19}, {"identifier": "E11", "position": [15, 17], "step": 19, "ordinal_position": 20}, {"identifier": "Y37", "position": [15, 18], "step": 20, "ordinal_position": 21}, {"identifier": "R51", "position": [15, 19], "step": 21, "ordinal_position": 22}, {"identifier": "R97", "position": [14, 19], "step": 22, "ordinal_position": 23}, {"identifier": "S97", "position": [13, 19], "step": 23, "ordinal_position": 24}, {"identifier": "T74", "position": [12, 19], "step": 24, "ordinal_position": 25}, {"identifier": "M62", "position": [11, 19], "step": 25, "ordinal_position": 26}, {"identifier": "T65", "position": [10, 19], "step": 26, "ordinal_position": 27}, {"identifier": "U06", "position": [9, 19], "step": 27, "ordinal_position": 28}, {"identifier": "E31", "position": [8, 19], "step": 28, "ordinal_position": 29}, {"identifier": "Z55", "position": [7, 19], "step": 29, "ordinal_position": 30}, {"identifier": "G40", "position": [7, 18], "step": 30, "ordinal_position": 31}, {"identifier": "H06", "position": [7, 17], "step": 31, "ordinal_position": 32}, {"identifier": "C19", "position": [6, 17], "step": 32, "ordinal_position": 33}, {"identifier": "N54", "position": [5, 17], "step": 33, "ordinal_position": 34}, {"identifier": "P75", "position": [5, 18], "step": 34, "ordinal_position": 35}, {"identifier": "A70", "position": [5, 19], "step": 35, "ordinal_position": 36}, {"identifier": "Z25", "position": [4, 19], "step": 36, "ordinal_position": 37}, {"identifier": "T56", "position": [3, 19], "step": 37, "ordinal_position": 38}, {"identifier": "H44", "position": [2, 19], "step": 38, "ordinal_position": 39}, {"identifier": "B01", "position": [1, 19], "step": 39, "ordinal_position": 40}, {"identifier": "V06", "position": [1, 18], "step": 40, "ordinal_position": 41}, {"identifier": "M68", "position": [1, 17], "step": 41, "ordinal_position": 42}, {"identifier": "Q58", "position": [1, 16], "step": 42, "ordinal_position": 43}, {"identifier": "B20", "position": [1, 15], "step": 43, "ordinal_position": 44}, {"identifier": "C91", "position": [1, 14], "step": 44, "ordinal_position": 45}, {"identifier": "I82", "position": [1, 13], "step": 45, "ordinal_position": 46}, {"identifier": "E59", "position": [1, 12], "step": 46, "ordinal_position": 47}, {"identifier": "A47", "position": [1, 11], "step": 47, "ordinal_position": 48}, {"identifier": "V32", "position": [2, 11], "step": 48, "ordinal_position": 49}, {"identifier": "I17", "position": [3, 11], "step": 49, "ordinal_position": 50}, {"identifier": "G45", "position": [3, 12], "step": 50, "ordinal_position": 51}, {"identifier": "T76", "position": [3, 13], "step": 51, "ordinal_position": 52}, {"identifier": "K51", "position": [3, 14], "step": 52, "ordinal_position": 53}, {"identifier": "R35", "position": [3, 15], "step": 53, "ordinal_position": 54}, {"identifier": "T83", "position": [3, 16], "step": 54, "ordinal_position": 55}, {"identifier": "R12", "position": [3, 17], "step": 55, "ordinal_position": 56}, {"identifier": "E17", "position": [3, 18], "step": 56, "ordinal_position": 57}, {"identifier": "T56", "position": [3, 19], "step": 57, "ordinal_position": 58}, {"identifier": "H44", "position": [2, 19], "step": 58, "ordinal_position": 59}, {"identifier": "B01", "position": [1, 19], "step": 59, "ordinal_position": 60}, {"identifier": "V06", "position": [1, 18], "step": 60, "ordinal_position": 61}, {"identifier": "M68", "position": [1, 17], "step": 61, "ordinal_position": 62}, {"identifier": "Q58", "position": [1, 16], "step": 62, "ordinal_position": 63}, {"identifier": "B20", "position": [1, 15], "step": 63, "ordinal_position": 64}, {"identifier": "C91", "position": [1, 14], "step": 64, "ordinal_position": 65}, {"identifier": "I82", "position": [1, 13], "step": 65, "ordinal_position": 66}, {"identifier": "E59", "position": [1, 12], "step": 66, "ordinal_position": 67}, {"identifier": "A47", "position": [1, 11], "step": 67, "ordinal_position": 68}, {"identifier": "V32", "position": [2, 11], "step": 68, "ordinal_position": 69}, {"identifier": "I17", "position": [3, 11], "step": 69, "ordinal_position": 70}, {"identifier": "G45", "position": [3, 12], "step": 70, "ordinal_position": 71}, {"identifier": "T76", "position": [3, 13], "step": 71, "ordinal_position": 72}, {"identifier": "K51", "position": [3, 14], "step": 72, "ordinal_position": 73}, {"identifier": "R35", "position": [3, 15], "step": 73, "ordinal_position": 74}, {"identifier": "T83", "position": [3, 16], "step": 74, "ordinal_position": 75}, {"identifier": "R12", "position": [3, 17], "step": 75, "ordinal_position": 76}, {"identifier": "E17", "position": [3, 18], "step": 76, "ordinal_position": 77}, {"identifier": "T56", "position": [3, 19], "step": 77, "ordinal_position": 78}, {"identifier": "H44", "position": [2, 19], "step": 78, "ordinal_position": 79}, {"identifier": "B01", "position": [1, 19], "step": 79, "ordinal_position": 80}, {"identifier": "V06", "position": [1, 18], "step": 80, "ordinal_position": 81}, {"identifier": "M68", "position": [1, 17], "step": 81, "ordinal_position": 82}, {"identifier": "Q58", "position": [1, 16], "step": 82, "ordinal_position": 83}, {"identifier": "B20", "position": [1, 15], "step": 83, "ordinal_position": 84}, {"identifier": "C91", "position": [1, 14], "step": 84, "ordinal_position": 85}, {"identifier": "I82", "position": [1, 13], "step": 85, "ordinal_position": 86}, {"identifier": "E59", "position": [1, 12], "step": 86, "ordinal_position": 87}, {"identifier": "A47", "position": [1, 11], "step": 87, "ordinal_position": 88}, {"identifier": "V32", "position": [2, 11], "step": 88, "ordinal_position": 89}, {"identifier": "I17", "position": [3, 11], "step": 89, "ordinal_position": 90}, {"identifier": "G45", "position": [3, 12], "step": 90, "ordinal_position": 91}, {"identifier": "T76", "position": [3, 13], "step": 91, "ordinal_position": 92}, {"identifier": "K51", "position": [3, 14], "step": 92, "ordinal_position": 93}, {"identifier": "R35", "position": [3, 15], "step": 93, "ordinal_position": 94}, {"identifier": "T83", "position": [3, 16], "step": 94, "ordinal_position": 95}, {"identifier": "R12", "position": [3, 17], "step": 95, "ordinal_position": 96}, {"identifier": "E17", "position": [3, 18], "step": 96, "ordinal_position": 97}, {"identifier": "T56", "position": [3, 19], "step": 97, "ordinal_position": 98}, {"identifier": "H44", "position": [2, 19], "step": 98, "ordinal_position": 99}, {"identifier": "B01", "position": [1, 19], "step": 99, "ordinal_position": 100}, {"identifier": "V06", "position": [1, 18], "step": 100, "ordinal_position": 101}, {"identifier": "M68", "position": [1, 17], "step": 101, "ordinal_position": 102}, {"identifier": "Q58", "position": [1, 16], "step": 102, "ordinal_position": 103}, {"identifier": "B20", "position": [1, 15], "step": 103, "ordinal_position": 104}, {"identifier": "C91", "position": [1, 14], "step": 104, "ordinal_position": 105}, {"identifier": "I82", "position": [1, 13], "step": 105, "ordinal_position": 106}, {"identifier": "E59", "position": [1, 12], "step": 106, "ordinal_position": 107}, {"identifier": "A47", "position": [1, 11], "step": 107, "ordinal_position": 108}, {"identifier": "V32", "position": [2, 11], "step": 108, "ordinal_position": 109}, {"identifier": "I17", "position": [3, 11], "step": 109, "ordinal_position": 110}, {"identifier": "G45", "position": [3, 12], "step": 110, "ordinal_position": 111}, {"identifier": "T76", "position": [3, 13], "step": 111, "ordinal_position": 112}, {"identifier": "K51", "position": [3, 14], "step": 112, "ordinal_position": 113}, {"identifier": "R35", "position": [3, 15], "step": 113, "ordinal_position": 114}, {"identifier": "T83", "position": [3, 16], "step": 114, "ordinal_position": 115}, {"identifier": "R12", "position": [3, 17], "step": 115, "ordinal_position": 116}, {"identifier": "E17", "position": [3, 18], "step": 116, "ordinal_position": 117}, {"identifier": "T56", "position": [3, 19], "step": 117, "ordinal_position": 118}, {"identifier": "H44", "position": [2, 19], "step": 118, "ordinal_position": 119}, {"identifier": "B01", "position": [1, 19], "step": 119, "ordinal_position": 120}, {"identifier": "V06", "position": [1, 18], "step": 120, "ordinal_position": 121}, {"identifier": "M68", "position": [1, 17], "step": 121, "ordinal_position": 122}, {"identifier": "Q58", "position": [1, 16], "step": 122, "ordinal_position": 123}, {"identifier": "B20", "position": [1, 15], "step": 123, "ordinal_position": 124}, {"identifier": "C91", "position": [1, 14], "step": 124, "ordinal_position": 125}, {"identifier": "I82", "position": [1, 13], "step": 125, "ordinal_position": 126}, {"identifier": "E59", "position": [1, 12], "step": 126, "ordinal_position": 127}, {"identifier": "A47", "position": [1, 11], "step": 127, "ordinal_position": 128}, {"identifier": "V32", "position": [2, 11], "step": 128, "ordinal_position": 129}, {"identifier": "I17", "position": [3, 11], "step": 129, "ordinal_position": 130}, {"identifier": "G45", "position": [3, 12], "step": 130, "ordinal_position": 131}, {"identifier": "T76", "position": [3, 13], "step": 131, "ordinal_position": 132}, {"identifier": "K51", "position": [3, 14], "step": 132, "ordinal_position": 133}, {"identifier": "R35", "position": [3, 15], "step": 133, "ordinal_position": 134}, {"identifier": "T83", "position": [3, 16], "step": 134, "ordinal_position": 135}, {"identifier": "R12", "position": [3, 17], "step": 135, "ordinal_position": 136}, {"identifier": "E17", "position": [3, 18], "step": 136, "ordinal_position": 137}, {"identifier": "T56", "position": [3, 19], "step": 137, "ordinal_position": 138}, {"identifier": "H44", "position": [2, 19], "step": 138, "ordinal_position": 139}, {"identifier": "B01", "position": [1, 19], "step": 139, "ordinal_position": 140}, {"identifier": "V06", "position": [1, 18], "step": 140, "ordinal_position": 141}, {"identifier": "M68", "position": [1, 17], "step": 141, "ordinal_position": 142}, {"identifier": "Q58", "position": [1, 16], "step": 142, "ordinal_position": 143}, {"identifier": "B20", "position": [1, 15], "step": 143, "ordinal_position": 144}, {"identifier": "C91", "position": [1, 14], "step": 144, "ordinal_position": 145}, {"identifier": "I82", "position": [1, 13], "step": 145, "ordinal_position": 146}, {"identifier": "E59", "position": [1, 12], "step": 146, "ordinal_position": 147}, {"identifier": "A47", "position": [1, 11], "step": 147, "ordinal_position": 148}, {"identifier": "V32", "position": [2, 11], "step": 148, "ordinal_position": 149}, {"identifier": "I17", "position": [3, 11], "step": 149, "ordinal_position": 150}, {"identifier": "G45", "position": [3, 12], "step": 150, "ordinal_position": 151}, {"identifier": "T76", "position": [3, 13], "step": 151, "ordinal_position": 152}, {"identifier": "K51", "position": [3, 14], "step": 152, "ordinal_position": 153}, {"identifier": "R35", "position": [3, 15], "step": 153, "ordinal_position": 154}, {"identifier": "T83", "position": [3, 16], "step": 154, "ordinal_position": 155}, {"identifier": "R12", "position": [3, 17], "step": 155, "ordinal_position": 156}, {"identifier": "E17", "position": [3, 18], "step": 156, "ordinal_position": 157}, {"identifier": "T56", "position": [3, 19], "step": 157, "ordinal_position": 158}, {"identifier": "H44", "position": [2, 19], "step": 158, "ordinal_position": 159}, {"identifier": "B01", "position": [1, 19], "step": 159, "ordinal_position": 160}, {"identifier": "V06", "position": [1, 18], "step": 160, "ordinal_position": 161}, {"identifier": "M68", "position": [1, 17], "step": 161, "ordinal_position": 162}, {"identifier": "Q58", "position": [1, 16], "step": 162, "ordinal_position": 163}, {"identifier": "B20", "position": [1, 15], "step": 163, "ordinal_position": 164}, {"identifier": "C91", "position": [1, 14], "step": 164, "ordinal_position": 165}, {"identifier": "I82", "position": [1, 13], "step": 165, "ordinal_position": 166}, {"identifier": "E59", "position": [1, 12], "step": 166, "ordinal_position": 167}, {"identifier": "A47", "position": [1, 11], "step": 167, "ordinal_position": 168}, {"identifier": "V32", "position": [2, 11], "step": 168, "ordinal_position": 169}, {"identifier": "I17", "position": [3, 11], "step": 169, "ordinal_position": 170}, {"identifier": "G45", "position": [3, 12], "step": 170, "ordinal_position": 171}, {"identifier": "T76", "position": [3, 13], "step": 171, "ordinal_position": 172}, {"identifier": "K51", "position": [3, 14], "step": 172, "ordinal_position": 173}, {"identifier": "R35", "position": [3, 15], "step": 173, "ordinal_position": 174}, {"identifier": "T83", "position": [3, 16], "step": 174, "ordinal_position": 175}, {"identifier": "R12", "position": [3, 17], "step": 175, "ordinal_position": 176}, {"identifier": "E17", "position": [3, 18], "step": 176, "ordinal_position": 177}, {"identifier": "T56", "position": [3, 19], "step": 177, "ordinal_position": 178}, {"identifier": "H44", "position": [2, 19], "step": 178, "ordinal_position": 179}, {"identifier": "B01", "position": [1, 19], "step": 179, "ordinal_position": 180}, {"identifier": "V06", "position": [1, 18], "step": 180, "ordinal_position": 181}, {"identifier": "M68", "position": [1, 17], "step": 181, "ordinal_position": 182}, {"identifier": "Q58", "position": [1, 16], "step": 182, "ordinal_position": 183}, {"identifier": "B20", "position": [1, 15], "step": 183, "ordinal_position": 184}, {"identifier": "C91", "position": [1, 14], "step": 184, "ordinal_position": 185}, {"identifier": "I82", "position": [1, 13], "step": 185, "ordinal_position": 186}, {"identifier": "E59", "position": [1, 12], "step": 186, "ordinal_position": 187}, {"identifier": "A47", "position": [1, 11], "step": 187, "ordinal_position": 188}, {"identifier": "V32", "position": [2, 11], "step": 188, "ordinal_position": 189}, {"identifier": "I17", "position": [3, 11], "step": 189, "ordinal_position": 190}, {"identifier": "G45", "position": [3, 12], "step": 190, "ordinal_position": 191}, {"identifier": "T76", "position": [3, 13], "step": 191, "ordinal_position": 192}, {"identifier": "K51", "position": [3, 14], "step": 192, "ordinal_position": 193}, {"identifier": "R35", "position": [3, 15], "step": 193, "ordinal_position": 194}, {"identifier": "T83", "position": [3, 16], "step": 194, "ordinal_position": 195}, {"identifier": "R12", "position": [3, 17], "step": 195, "ordinal_position": 196}, {"identifier": "E17", "position": [3, 18], "step": 196, "ordinal_position": 197}, {"identifier": "T56", "position": [3, 19], "step": 197, "ordinal_position": 198}, {"identifier": "H44", "position": [2, 19], "step": 198, "ordinal_position": 199}, {"identifier": "B01", "position": [1, 19], "step": 199, "ordinal_position": 200}, {"identifier": "V06", "position": [1, 18], "step": 200, "ordinal_position": 201}, {"identifier": "M68", "position": [1, 17], "step": 201, "ordinal_position": 202}, {"identifier": "Q58", "position": [1, 16], "step": 202, "ordinal_position": 203}, {"identifier": "B20", "position": [1, 15], "step": 203, "ordinal_position": 204}, {"identifier": "C91", "position": [1, 14], "step": 204, "ordinal_position": 205}, {"identifier": "I82", "position": [1, 13], "step": 205, "ordinal_position": 206}, {"identifier": "E59", "position": [1, 12], "step": 206, "ordinal_position": 207}, {"identifier": "A47", "position": [1, 11], "step": 207, "ordinal_position": 208}, {"identifier": "V32", "position": [2, 11], "step": 208, "ordinal_position": 209}, {"identifier": "I17", "position": [3, 11], "step": 209, "ordinal_position": 210}, {"identifier": "G45", "position": [3, 12], "step": 210, "ordinal_position": 211}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 211, "direction": "right", "turn_preference": "right", "total_objects": 215, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_002.json"}} {"qa_id": "bcac2e9df23c42ca90a44446b3066dcc", "image_id": "L3-MazeLoop-test_21x21_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K51, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 226th position in this traversal?", "start_object_id": "K51", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [226], "ordinal_strings": ["226th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "D86", "traversal_path": [{"identifier": "K51", "position": [3, 14], "step": 0, "ordinal_position": 1}, {"identifier": "R35", "position": [3, 15], "step": 1, "ordinal_position": 2}, {"identifier": "T83", "position": [3, 16], "step": 2, "ordinal_position": 3}, {"identifier": "R12", "position": [3, 17], "step": 3, "ordinal_position": 4}, {"identifier": "E17", "position": [3, 18], "step": 4, "ordinal_position": 5}, {"identifier": "T56", "position": [3, 19], "step": 5, "ordinal_position": 6}, {"identifier": "Z25", "position": [4, 19], "step": 6, "ordinal_position": 7}, {"identifier": "A70", "position": [5, 19], "step": 7, "ordinal_position": 8}, {"identifier": "P75", "position": [5, 18], "step": 8, "ordinal_position": 9}, {"identifier": "N54", "position": [5, 17], "step": 9, "ordinal_position": 10}, {"identifier": "C19", "position": [6, 17], "step": 10, "ordinal_position": 11}, {"identifier": "H06", "position": [7, 17], "step": 11, "ordinal_position": 12}, {"identifier": "G40", "position": [7, 18], "step": 12, "ordinal_position": 13}, {"identifier": "Z55", "position": [7, 19], "step": 13, "ordinal_position": 14}, {"identifier": "E31", "position": [8, 19], "step": 14, "ordinal_position": 15}, {"identifier": "U06", "position": [9, 19], "step": 15, "ordinal_position": 16}, {"identifier": "T65", "position": [10, 19], "step": 16, "ordinal_position": 17}, {"identifier": "M62", "position": [11, 19], "step": 17, "ordinal_position": 18}, {"identifier": "T74", "position": [12, 19], "step": 18, "ordinal_position": 19}, {"identifier": "S97", "position": [13, 19], "step": 19, "ordinal_position": 20}, {"identifier": "R97", "position": [14, 19], "step": 20, "ordinal_position": 21}, {"identifier": "R51", "position": [15, 19], "step": 21, "ordinal_position": 22}, {"identifier": "L22", "position": [16, 19], "step": 22, "ordinal_position": 23}, {"identifier": "C45", "position": [17, 19], "step": 23, "ordinal_position": 24}, {"identifier": "M52", "position": [18, 19], "step": 24, "ordinal_position": 25}, {"identifier": "F72", "position": [19, 19], "step": 25, "ordinal_position": 26}, {"identifier": "F92", "position": [19, 18], "step": 26, "ordinal_position": 27}, {"identifier": "V03", "position": [19, 17], "step": 27, "ordinal_position": 28}, {"identifier": "Y01", "position": [19, 16], "step": 28, "ordinal_position": 29}, {"identifier": "Y43", "position": [19, 15], "step": 29, "ordinal_position": 30}, {"identifier": "R07", "position": [19, 14], "step": 30, "ordinal_position": 31}, {"identifier": "D29", "position": [19, 13], "step": 31, "ordinal_position": 32}, {"identifier": "M13", "position": [19, 12], "step": 32, "ordinal_position": 33}, {"identifier": "F79", "position": [19, 11], "step": 33, "ordinal_position": 34}, {"identifier": "V50", "position": [19, 10], "step": 34, "ordinal_position": 35}, {"identifier": "D02", "position": [19, 9], "step": 35, "ordinal_position": 36}, {"identifier": "B00", "position": [19, 8], "step": 36, "ordinal_position": 37}, {"identifier": "A21", "position": [19, 7], "step": 37, "ordinal_position": 38}, {"identifier": "E30", "position": [19, 6], "step": 38, "ordinal_position": 39}, {"identifier": "C09", "position": [19, 5], "step": 39, "ordinal_position": 40}, {"identifier": "O74", "position": [19, 4], "step": 40, "ordinal_position": 41}, {"identifier": "A78", "position": [19, 3], "step": 41, "ordinal_position": 42}, {"identifier": "U02", "position": [19, 2], "step": 42, "ordinal_position": 43}, {"identifier": "I97", "position": [19, 1], "step": 43, "ordinal_position": 44}, {"identifier": "V55", "position": [18, 1], "step": 44, "ordinal_position": 45}, {"identifier": "C98", "position": [17, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Q16", "position": [16, 1], "step": 46, "ordinal_position": 47}, {"identifier": "A19", "position": [15, 1], "step": 47, "ordinal_position": 48}, {"identifier": "G18", "position": [14, 1], "step": 48, "ordinal_position": 49}, {"identifier": "O12", "position": [13, 1], "step": 49, "ordinal_position": 50}, {"identifier": "T13", "position": [13, 2], "step": 50, "ordinal_position": 51}, {"identifier": "E14", "position": [13, 3], "step": 51, "ordinal_position": 52}, {"identifier": "T35", "position": [12, 3], "step": 52, "ordinal_position": 53}, {"identifier": 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{"identifier": "S97", "position": [13, 19], "step": 103, "ordinal_position": 104}, {"identifier": "R97", "position": [14, 19], "step": 104, "ordinal_position": 105}, {"identifier": "R51", "position": [15, 19], "step": 105, "ordinal_position": 106}, {"identifier": "L22", "position": [16, 19], "step": 106, "ordinal_position": 107}, {"identifier": "C45", "position": [17, 19], "step": 107, "ordinal_position": 108}, {"identifier": "M52", "position": [18, 19], "step": 108, "ordinal_position": 109}, {"identifier": "F72", "position": [19, 19], "step": 109, "ordinal_position": 110}, {"identifier": "F92", "position": [19, 18], "step": 110, "ordinal_position": 111}, {"identifier": "V03", "position": [19, 17], "step": 111, "ordinal_position": 112}, {"identifier": "Y01", "position": [19, 16], "step": 112, "ordinal_position": 113}, {"identifier": "Y43", "position": [19, 15], "step": 113, "ordinal_position": 114}, {"identifier": "R07", "position": [19, 14], "step": 114, "ordinal_position": 115}, {"identifier": "D29", "position": [19, 13], "step": 115, "ordinal_position": 116}, {"identifier": "M13", "position": [19, 12], "step": 116, "ordinal_position": 117}, {"identifier": "F79", "position": [19, 11], "step": 117, "ordinal_position": 118}, {"identifier": "V50", "position": [19, 10], "step": 118, "ordinal_position": 119}, {"identifier": "D02", "position": [19, 9], "step": 119, "ordinal_position": 120}, {"identifier": "B00", "position": [19, 8], "step": 120, "ordinal_position": 121}, {"identifier": "A21", "position": [19, 7], "step": 121, "ordinal_position": 122}, {"identifier": "E30", "position": [19, 6], "step": 122, "ordinal_position": 123}, {"identifier": "C09", "position": [19, 5], "step": 123, "ordinal_position": 124}, {"identifier": "O74", "position": [19, 4], "step": 124, "ordinal_position": 125}, {"identifier": "A78", "position": [19, 3], "step": 125, "ordinal_position": 126}, {"identifier": "U02", "position": [19, 2], "step": 126, "ordinal_position": 127}, {"identifier": "I97", "position": [19, 1], "step": 127, "ordinal_position": 128}, {"identifier": "V55", "position": [18, 1], "step": 128, "ordinal_position": 129}, {"identifier": "C98", "position": [17, 1], "step": 129, "ordinal_position": 130}, {"identifier": "Q16", "position": [16, 1], "step": 130, "ordinal_position": 131}, {"identifier": "A19", "position": [15, 1], "step": 131, "ordinal_position": 132}, {"identifier": "G18", "position": [14, 1], "step": 132, "ordinal_position": 133}, {"identifier": "O12", "position": [13, 1], "step": 133, "ordinal_position": 134}, {"identifier": "T13", "position": [13, 2], "step": 134, "ordinal_position": 135}, {"identifier": "E14", "position": [13, 3], "step": 135, "ordinal_position": 136}, {"identifier": "T35", "position": [12, 3], "step": 136, "ordinal_position": 137}, {"identifier": "X80", "position": [11, 3], "step": 137, "ordinal_position": 138}, {"identifier": "D13", "position": [11, 2], "step": 138, "ordinal_position": 139}, {"identifier": "H84", "position": [11, 1], "step": 139, "ordinal_position": 140}, {"identifier": "Q04", "position": [10, 1], "step": 140, "ordinal_position": 141}, {"identifier": "D86", "position": [9, 1], "step": 141, "ordinal_position": 142}, {"identifier": "Z13", "position": [9, 2], "step": 142, "ordinal_position": 143}, {"identifier": "U08", "position": [9, 3], "step": 143, "ordinal_position": 144}, {"identifier": "T26", "position": [8, 3], "step": 144, "ordinal_position": 145}, {"identifier": "O99", "position": [7, 3], "step": 145, "ordinal_position": 146}, {"identifier": "U97", "position": [7, 2], "step": 146, "ordinal_position": 147}, {"identifier": "D33", "position": [7, 1], "step": 147, "ordinal_position": 148}, {"identifier": "X41", "position": [6, 1], "step": 148, "ordinal_position": 149}, {"identifier": "Q01", "position": [5, 1], "step": 149, "ordinal_position": 150}, {"identifier": "Q18", "position": [4, 1], "step": 150, "ordinal_position": 151}, {"identifier": "E74", "position": [3, 1], "step": 151, "ordinal_position": 152}, {"identifier": "K62", "position": [2, 1], "step": 152, "ordinal_position": 153}, {"identifier": "A98", "position": [1, 1], "step": 153, "ordinal_position": 154}, {"identifier": "U39", "position": [1, 2], "step": 154, "ordinal_position": 155}, {"identifier": "Z00", "position": [1, 3], "step": 155, "ordinal_position": 156}, {"identifier": "E85", "position": [1, 4], "step": 156, "ordinal_position": 157}, {"identifier": "Z44", "position": [1, 5], "step": 157, "ordinal_position": 158}, {"identifier": "J21", "position": [1, 6], "step": 158, "ordinal_position": 159}, {"identifier": "Q50", "position": [1, 7], "step": 159, "ordinal_position": 160}, {"identifier": "V44", "position": [1, 8], "step": 160, "ordinal_position": 161}, {"identifier": "W15", "position": [1, 9], "step": 161, "ordinal_position": 162}, {"identifier": "S07", "position": [2, 9], "step": 162, "ordinal_position": 163}, {"identifier": "I68", "position": [3, 9], "step": 163, "ordinal_position": 164}, {"identifier": "B53", "position": [3, 10], "step": 164, "ordinal_position": 165}, {"identifier": "I17", "position": [3, 11], "step": 165, "ordinal_position": 166}, {"identifier": "G45", "position": [3, 12], "step": 166, "ordinal_position": 167}, {"identifier": "T76", "position": [3, 13], "step": 167, "ordinal_position": 168}, {"identifier": "K51", "position": [3, 14], "step": 168, "ordinal_position": 169}, {"identifier": "R35", "position": [3, 15], "step": 169, "ordinal_position": 170}, {"identifier": "T83", "position": [3, 16], "step": 170, "ordinal_position": 171}, {"identifier": "R12", "position": [3, 17], "step": 171, "ordinal_position": 172}, {"identifier": "E17", "position": [3, 18], "step": 172, "ordinal_position": 173}, {"identifier": "T56", "position": [3, 19], "step": 173, "ordinal_position": 174}, {"identifier": "Z25", "position": [4, 19], "step": 174, "ordinal_position": 175}, {"identifier": "A70", "position": [5, 19], "step": 175, "ordinal_position": 176}, {"identifier": "P75", "position": [5, 18], "step": 176, "ordinal_position": 177}, {"identifier": "N54", "position": [5, 17], "step": 177, "ordinal_position": 178}, {"identifier": "C19", "position": [6, 17], "step": 178, "ordinal_position": 179}, {"identifier": "H06", "position": [7, 17], "step": 179, "ordinal_position": 180}, {"identifier": "G40", "position": [7, 18], "step": 180, "ordinal_position": 181}, {"identifier": "Z55", "position": [7, 19], "step": 181, "ordinal_position": 182}, {"identifier": "E31", "position": [8, 19], "step": 182, "ordinal_position": 183}, {"identifier": "U06", "position": [9, 19], "step": 183, "ordinal_position": 184}, {"identifier": "T65", "position": [10, 19], "step": 184, "ordinal_position": 185}, {"identifier": "M62", "position": [11, 19], "step": 185, "ordinal_position": 186}, {"identifier": "T74", "position": [12, 19], "step": 186, "ordinal_position": 187}, {"identifier": "S97", "position": [13, 19], "step": 187, "ordinal_position": 188}, {"identifier": "R97", "position": [14, 19], "step": 188, "ordinal_position": 189}, {"identifier": "R51", "position": [15, 19], "step": 189, "ordinal_position": 190}, {"identifier": "L22", "position": [16, 19], "step": 190, "ordinal_position": 191}, {"identifier": "C45", "position": [17, 19], "step": 191, "ordinal_position": 192}, {"identifier": "M52", "position": [18, 19], "step": 192, "ordinal_position": 193}, {"identifier": "F72", "position": [19, 19], "step": 193, "ordinal_position": 194}, {"identifier": "F92", "position": [19, 18], "step": 194, "ordinal_position": 195}, {"identifier": "V03", "position": [19, 17], "step": 195, "ordinal_position": 196}, {"identifier": "Y01", "position": [19, 16], "step": 196, "ordinal_position": 197}, {"identifier": "Y43", "position": [19, 15], "step": 197, "ordinal_position": 198}, {"identifier": "R07", "position": [19, 14], "step": 198, "ordinal_position": 199}, {"identifier": "D29", "position": [19, 13], "step": 199, "ordinal_position": 200}, {"identifier": "M13", "position": [19, 12], "step": 200, "ordinal_position": 201}, {"identifier": "F79", "position": [19, 11], "step": 201, "ordinal_position": 202}, {"identifier": "V50", "position": [19, 10], "step": 202, "ordinal_position": 203}, {"identifier": "D02", "position": [19, 9], "step": 203, "ordinal_position": 204}, {"identifier": "B00", "position": [19, 8], "step": 204, "ordinal_position": 205}, {"identifier": "A21", "position": [19, 7], "step": 205, "ordinal_position": 206}, {"identifier": "E30", "position": [19, 6], "step": 206, "ordinal_position": 207}, {"identifier": "C09", "position": [19, 5], "step": 207, "ordinal_position": 208}, {"identifier": "O74", "position": [19, 4], "step": 208, "ordinal_position": 209}, {"identifier": "A78", "position": [19, 3], "step": 209, "ordinal_position": 210}, {"identifier": "U02", "position": [19, 2], "step": 210, "ordinal_position": 211}, {"identifier": "I97", "position": [19, 1], "step": 211, "ordinal_position": 212}, {"identifier": "V55", "position": [18, 1], "step": 212, "ordinal_position": 213}, {"identifier": "C98", "position": [17, 1], "step": 213, "ordinal_position": 214}, {"identifier": "Q16", "position": [16, 1], "step": 214, "ordinal_position": 215}, {"identifier": "A19", "position": [15, 1], "step": 215, "ordinal_position": 216}, {"identifier": "G18", "position": [14, 1], "step": 216, "ordinal_position": 217}, {"identifier": "O12", "position": [13, 1], "step": 217, "ordinal_position": 218}, {"identifier": "T13", "position": [13, 2], "step": 218, "ordinal_position": 219}, {"identifier": "E14", "position": [13, 3], "step": 219, "ordinal_position": 220}, {"identifier": "T35", "position": [12, 3], "step": 220, "ordinal_position": 221}, {"identifier": "X80", "position": [11, 3], "step": 221, "ordinal_position": 222}, {"identifier": "D13", "position": [11, 2], "step": 222, "ordinal_position": 223}, {"identifier": "H84", "position": [11, 1], "step": 223, "ordinal_position": 224}, {"identifier": "Q04", "position": [10, 1], "step": 224, "ordinal_position": 225}, {"identifier": "D86", "position": [9, 1], "step": 225, "ordinal_position": 226}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 226, "direction": "down", "turn_preference": "left", "total_objects": 215, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_002.json"}} {"qa_id": "b4d95744f0f049d382beeb44f9b3d7a8", "image_id": "L3-MazeLoop-test_21x21_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V03, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 205th position in this traversal?", "start_object_id": "V03", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [205], "ordinal_strings": ["205th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "H84", "traversal_path": [{"identifier": "V03", "position": [19, 17], "step": 0, "ordinal_position": 1}, {"identifier": "X58", "position": [18, 17], "step": 1, "ordinal_position": 2}, {"identifier": "M15", "position": [17, 17], "step": 2, "ordinal_position": 3}, {"identifier": "X99", "position": [17, 18], "step": 3, "ordinal_position": 4}, {"identifier": "C45", "position": [17, 19], "step": 4, "ordinal_position": 5}, {"identifier": "M52", "position": [18, 19], "step": 5, "ordinal_position": 6}, {"identifier": "F72", "position": [19, 19], "step": 6, "ordinal_position": 7}, {"identifier": "F92", "position": [19, 18], "step": 7, "ordinal_position": 8}, {"identifier": "V03", "position": [19, 17], "step": 8, "ordinal_position": 9}, {"identifier": "Y01", "position": [19, 16], "step": 9, "ordinal_position": 10}, {"identifier": "Y43", "position": [19, 15], "step": 10, "ordinal_position": 11}, {"identifier": "R07", "position": [19, 14], "step": 11, "ordinal_position": 12}, {"identifier": "D29", "position": [19, 13], "step": 12, "ordinal_position": 13}, {"identifier": "M13", "position": [19, 12], "step": 13, "ordinal_position": 14}, {"identifier": "F79", "position": [19, 11], "step": 14, "ordinal_position": 15}, {"identifier": "V50", "position": [19, 10], "step": 15, "ordinal_position": 16}, {"identifier": "D02", "position": [19, 9], "step": 16, "ordinal_position": 17}, {"identifier": "B00", "position": [19, 8], "step": 17, "ordinal_position": 18}, {"identifier": "A21", "position": [19, 7], "step": 18, "ordinal_position": 19}, {"identifier": "E30", "position": [19, 6], "step": 19, "ordinal_position": 20}, {"identifier": "C09", "position": [19, 5], "step": 20, "ordinal_position": 21}, {"identifier": "O74", "position": [19, 4], "step": 21, "ordinal_position": 22}, {"identifier": "A78", "position": [19, 3], "step": 22, "ordinal_position": 23}, {"identifier": "U02", "position": [19, 2], "step": 23, "ordinal_position": 24}, {"identifier": "I97", "position": [19, 1], "step": 24, "ordinal_position": 25}, {"identifier": "V55", "position": [18, 1], "step": 25, "ordinal_position": 26}, {"identifier": "C98", "position": [17, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Q16", "position": [16, 1], "step": 27, "ordinal_position": 28}, {"identifier": "A19", "position": [15, 1], "step": 28, "ordinal_position": 29}, {"identifier": "G18", "position": [14, 1], "step": 29, "ordinal_position": 30}, {"identifier": "O12", "position": [13, 1], "step": 30, "ordinal_position": 31}, {"identifier": "T13", "position": [13, 2], "step": 31, "ordinal_position": 32}, {"identifier": "E14", "position": [13, 3], "step": 32, "ordinal_position": 33}, {"identifier": "T35", "position": [12, 3], "step": 33, "ordinal_position": 34}, {"identifier": "X80", "position": [11, 3], "step": 34, "ordinal_position": 35}, {"identifier": "D13", "position": [11, 2], "step": 35, "ordinal_position": 36}, {"identifier": "H84", "position": [11, 1], "step": 36, "ordinal_position": 37}, {"identifier": "Q04", "position": [10, 1], "step": 37, "ordinal_position": 38}, {"identifier": "D86", "position": [9, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Z13", "position": [9, 2], "step": 39, "ordinal_position": 40}, {"identifier": "U08", "position": [9, 3], "step": 40, "ordinal_position": 41}, {"identifier": "T26", "position": [8, 3], "step": 41, "ordinal_position": 42}, {"identifier": "O99", "position": [7, 3], "step": 42, "ordinal_position": 43}, {"identifier": "U97", "position": [7, 2], "step": 43, "ordinal_position": 44}, {"identifier": "D33", "position": [7, 1], "step": 44, "ordinal_position": 45}, {"identifier": "X41", "position": [6, 1], "step": 45, "ordinal_position": 46}, {"identifier": "Q01", "position": [5, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Q18", "position": [4, 1], "step": 47, "ordinal_position": 48}, {"identifier": "E74", "position": [3, 1], "step": 48, "ordinal_position": 49}, {"identifier": "K62", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "A98", "position": [1, 1], "step": 50, "ordinal_position": 51}, {"identifier": "U39", "position": [1, 2], "step": 51, "ordinal_position": 52}, {"identifier": "Z00", "position": [1, 3], "step": 52, "ordinal_position": 53}, {"identifier": "E85", "position": [1, 4], "step": 53, "ordinal_position": 54}, {"identifier": "Z44", "position": [1, 5], "step": 54, "ordinal_position": 55}, {"identifier": "J21", "position": [1, 6], "step": 55, "ordinal_position": 56}, {"identifier": "Q50", "position": [1, 7], "step": 56, "ordinal_position": 57}, {"identifier": "V44", "position": [1, 8], "step": 57, "ordinal_position": 58}, {"identifier": "W15", "position": [1, 9], "step": 58, "ordinal_position": 59}, {"identifier": "S07", "position": [2, 9], "step": 59, "ordinal_position": 60}, {"identifier": "I68", "position": [3, 9], "step": 60, "ordinal_position": 61}, {"identifier": "B53", "position": [3, 10], "step": 61, "ordinal_position": 62}, {"identifier": "I17", "position": [3, 11], "step": 62, "ordinal_position": 63}, {"identifier": "G45", "position": [3, 12], "step": 63, "ordinal_position": 64}, {"identifier": "T76", "position": [3, 13], "step": 64, "ordinal_position": 65}, {"identifier": "K51", "position": [3, 14], "step": 65, "ordinal_position": 66}, {"identifier": "R35", "position": [3, 15], "step": 66, 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"step": 91, "ordinal_position": 92}, {"identifier": "V03", "position": [19, 17], "step": 92, "ordinal_position": 93}, {"identifier": "Y01", "position": [19, 16], "step": 93, "ordinal_position": 94}, {"identifier": "Y43", "position": [19, 15], "step": 94, "ordinal_position": 95}, {"identifier": "R07", "position": [19, 14], "step": 95, "ordinal_position": 96}, {"identifier": "D29", "position": [19, 13], "step": 96, "ordinal_position": 97}, {"identifier": "M13", "position": [19, 12], "step": 97, "ordinal_position": 98}, {"identifier": "F79", "position": [19, 11], "step": 98, "ordinal_position": 99}, {"identifier": "V50", "position": [19, 10], "step": 99, "ordinal_position": 100}, {"identifier": "D02", "position": [19, 9], "step": 100, "ordinal_position": 101}, {"identifier": "B00", "position": [19, 8], "step": 101, "ordinal_position": 102}, {"identifier": "A21", "position": [19, 7], "step": 102, "ordinal_position": 103}, {"identifier": "E30", "position": [19, 6], "step": 103, 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128}, {"identifier": "D33", "position": [7, 1], "step": 128, "ordinal_position": 129}, {"identifier": "X41", "position": [6, 1], "step": 129, "ordinal_position": 130}, {"identifier": "Q01", "position": [5, 1], "step": 130, "ordinal_position": 131}, {"identifier": "Q18", "position": [4, 1], "step": 131, "ordinal_position": 132}, {"identifier": "E74", "position": [3, 1], "step": 132, "ordinal_position": 133}, {"identifier": "K62", "position": [2, 1], "step": 133, "ordinal_position": 134}, {"identifier": "A98", "position": [1, 1], "step": 134, "ordinal_position": 135}, {"identifier": "U39", "position": [1, 2], "step": 135, "ordinal_position": 136}, {"identifier": "Z00", "position": [1, 3], "step": 136, "ordinal_position": 137}, {"identifier": "E85", "position": [1, 4], "step": 137, "ordinal_position": 138}, {"identifier": "Z44", "position": [1, 5], "step": 138, "ordinal_position": 139}, {"identifier": "J21", "position": [1, 6], "step": 139, "ordinal_position": 140}, {"identifier": "Q50", "position": [1, 7], "step": 140, "ordinal_position": 141}, {"identifier": "V44", "position": [1, 8], "step": 141, "ordinal_position": 142}, {"identifier": "W15", "position": [1, 9], "step": 142, "ordinal_position": 143}, {"identifier": "S07", "position": [2, 9], "step": 143, "ordinal_position": 144}, {"identifier": "I68", "position": [3, 9], "step": 144, "ordinal_position": 145}, {"identifier": "B53", "position": [3, 10], "step": 145, "ordinal_position": 146}, {"identifier": "I17", "position": [3, 11], "step": 146, "ordinal_position": 147}, {"identifier": "G45", "position": [3, 12], "step": 147, "ordinal_position": 148}, {"identifier": "T76", "position": [3, 13], "step": 148, "ordinal_position": 149}, {"identifier": "K51", "position": [3, 14], "step": 149, "ordinal_position": 150}, {"identifier": "R35", "position": [3, 15], "step": 150, "ordinal_position": 151}, {"identifier": "T83", "position": [3, 16], "step": 151, "ordinal_position": 152}, {"identifier": "R12", "position": [3, 17], "step": 152, "ordinal_position": 153}, {"identifier": "E17", "position": [3, 18], "step": 153, "ordinal_position": 154}, {"identifier": "T56", "position": [3, 19], "step": 154, "ordinal_position": 155}, {"identifier": "Z25", "position": [4, 19], "step": 155, "ordinal_position": 156}, {"identifier": "A70", "position": [5, 19], "step": 156, "ordinal_position": 157}, {"identifier": "P75", "position": [5, 18], "step": 157, "ordinal_position": 158}, {"identifier": "N54", "position": [5, 17], "step": 158, "ordinal_position": 159}, {"identifier": "C19", "position": [6, 17], "step": 159, "ordinal_position": 160}, {"identifier": "H06", "position": [7, 17], "step": 160, "ordinal_position": 161}, {"identifier": "G40", "position": [7, 18], "step": 161, "ordinal_position": 162}, {"identifier": "Z55", "position": [7, 19], "step": 162, "ordinal_position": 163}, {"identifier": "E31", "position": [8, 19], "step": 163, "ordinal_position": 164}, {"identifier": "U06", "position": [9, 19], "step": 164, "ordinal_position": 165}, {"identifier": "T65", "position": [10, 19], "step": 165, "ordinal_position": 166}, {"identifier": "M62", "position": [11, 19], "step": 166, "ordinal_position": 167}, {"identifier": "T74", "position": [12, 19], "step": 167, "ordinal_position": 168}, {"identifier": "S97", "position": [13, 19], "step": 168, "ordinal_position": 169}, {"identifier": "R97", "position": [14, 19], "step": 169, "ordinal_position": 170}, {"identifier": "R51", "position": [15, 19], "step": 170, "ordinal_position": 171}, {"identifier": "L22", "position": [16, 19], "step": 171, "ordinal_position": 172}, {"identifier": "C45", "position": [17, 19], "step": 172, "ordinal_position": 173}, {"identifier": "M52", "position": [18, 19], "step": 173, "ordinal_position": 174}, {"identifier": "F72", "position": [19, 19], "step": 174, "ordinal_position": 175}, {"identifier": "F92", "position": [19, 18], "step": 175, "ordinal_position": 176}, {"identifier": "V03", "position": [19, 17], "step": 176, "ordinal_position": 177}, {"identifier": "Y01", "position": [19, 16], "step": 177, "ordinal_position": 178}, {"identifier": "Y43", "position": [19, 15], "step": 178, "ordinal_position": 179}, {"identifier": "R07", "position": [19, 14], "step": 179, "ordinal_position": 180}, {"identifier": "D29", "position": [19, 13], "step": 180, "ordinal_position": 181}, {"identifier": "M13", "position": [19, 12], "step": 181, "ordinal_position": 182}, {"identifier": "F79", "position": [19, 11], "step": 182, "ordinal_position": 183}, {"identifier": "V50", "position": [19, 10], "step": 183, "ordinal_position": 184}, {"identifier": "D02", "position": [19, 9], "step": 184, "ordinal_position": 185}, {"identifier": "B00", "position": [19, 8], "step": 185, "ordinal_position": 186}, {"identifier": "A21", "position": [19, 7], "step": 186, "ordinal_position": 187}, {"identifier": "E30", "position": [19, 6], "step": 187, "ordinal_position": 188}, {"identifier": "C09", "position": [19, 5], "step": 188, "ordinal_position": 189}, {"identifier": "O74", "position": [19, 4], "step": 189, "ordinal_position": 190}, {"identifier": "A78", "position": [19, 3], "step": 190, "ordinal_position": 191}, {"identifier": "U02", "position": [19, 2], "step": 191, "ordinal_position": 192}, {"identifier": "I97", "position": [19, 1], "step": 192, "ordinal_position": 193}, {"identifier": "V55", "position": [18, 1], "step": 193, "ordinal_position": 194}, {"identifier": "C98", "position": [17, 1], "step": 194, "ordinal_position": 195}, {"identifier": "Q16", "position": [16, 1], "step": 195, "ordinal_position": 196}, {"identifier": "A19", "position": [15, 1], "step": 196, "ordinal_position": 197}, {"identifier": "G18", "position": [14, 1], "step": 197, "ordinal_position": 198}, {"identifier": "O12", "position": [13, 1], "step": 198, "ordinal_position": 199}, {"identifier": "T13", "position": [13, 2], "step": 199, "ordinal_position": 200}, {"identifier": "E14", "position": [13, 3], "step": 200, "ordinal_position": 201}, {"identifier": "T35", "position": [12, 3], "step": 201, "ordinal_position": 202}, {"identifier": "X80", "position": [11, 3], "step": 202, "ordinal_position": 203}, {"identifier": "D13", "position": [11, 2], "step": 203, "ordinal_position": 204}, {"identifier": "H84", "position": [11, 1], "step": 204, "ordinal_position": 205}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 205, "direction": "left", "turn_preference": "left", "total_objects": 215, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_002.json"}} {"qa_id": "69301829a7ea405bb39d1cda2fa2f773", "image_id": "L3-MazeLoop-test_21x21_002", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J21, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 154th position in this traversal?", "start_object_id": "J21", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [154], "ordinal_strings": ["154th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "N54", "traversal_path": [{"identifier": "J21", "position": [1, 6], "step": 0, "ordinal_position": 1}, {"identifier": "Z44", "position": [1, 5], "step": 1, "ordinal_position": 2}, {"identifier": "E85", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "Z00", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "U39", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "A98", "position": [1, 1], "step": 5, "ordinal_position": 6}, {"identifier": "K62", "position": [2, 1], "step": 6, "ordinal_position": 7}, {"identifier": "E74", "position": [3, 1], "step": 7, "ordinal_position": 8}, {"identifier": "Q18", "position": [4, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Q01", "position": [5, 1], "step": 9, "ordinal_position": 10}, {"identifier": "X41", "position": [6, 1], "step": 10, "ordinal_position": 11}, {"identifier": "D33", "position": [7, 1], "step": 11, "ordinal_position": 12}, {"identifier": "U97", "position": [7, 2], "step": 12, "ordinal_position": 13}, {"identifier": "O99", "position": [7, 3], "step": 13, "ordinal_position": 14}, {"identifier": "T26", "position": [8, 3], "step": 14, "ordinal_position": 15}, {"identifier": "U08", "position": [9, 3], "step": 15, "ordinal_position": 16}, {"identifier": "Z13", "position": [9, 2], "step": 16, "ordinal_position": 17}, {"identifier": "D86", "position": [9, 1], "step": 17, "ordinal_position": 18}, {"identifier": "Q04", "position": [10, 1], "step": 18, "ordinal_position": 19}, {"identifier": "H84", "position": [11, 1], "step": 19, "ordinal_position": 20}, {"identifier": "D13", "position": [11, 2], "step": 20, "ordinal_position": 21}, {"identifier": "X80", "position": [11, 3], "step": 21, "ordinal_position": 22}, {"identifier": "T35", "position": [12, 3], "step": 22, "ordinal_position": 23}, {"identifier": "E14", "position": [13, 3], "step": 23, "ordinal_position": 24}, {"identifier": "T13", "position": [13, 2], "step": 24, "ordinal_position": 25}, {"identifier": "O12", "position": [13, 1], "step": 25, "ordinal_position": 26}, {"identifier": "G18", "position": [14, 1], "step": 26, "ordinal_position": 27}, {"identifier": "A19", "position": [15, 1], "step": 27, "ordinal_position": 28}, {"identifier": "Q16", "position": [16, 1], "step": 28, "ordinal_position": 29}, {"identifier": "C98", "position": [17, 1], "step": 29, "ordinal_position": 30}, {"identifier": "V55", "position": [18, 1], "step": 30, "ordinal_position": 31}, {"identifier": "I97", "position": [19, 1], "step": 31, "ordinal_position": 32}, {"identifier": "U02", "position": [19, 2], "step": 32, "ordinal_position": 33}, {"identifier": "A78", "position": [19, 3], "step": 33, "ordinal_position": 34}, {"identifier": "O74", "position": [19, 4], "step": 34, "ordinal_position": 35}, {"identifier": "C09", "position": [19, 5], "step": 35, "ordinal_position": 36}, {"identifier": "E30", "position": [19, 6], "step": 36, "ordinal_position": 37}, {"identifier": "A21", "position": [19, 7], "step": 37, "ordinal_position": 38}, {"identifier": "B00", "position": [19, 8], "step": 38, "ordinal_position": 39}, {"identifier": "D02", "position": [19, 9], "step": 39, "ordinal_position": 40}, {"identifier": "V50", "position": [19, 10], "step": 40, "ordinal_position": 41}, {"identifier": "F79", "position": [19, 11], "step": 41, "ordinal_position": 42}, {"identifier": "M13", "position": [19, 12], "step": 42, "ordinal_position": 43}, {"identifier": "D29", "position": [19, 13], "step": 43, "ordinal_position": 44}, {"identifier": "R07", "position": [19, 14], "step": 44, "ordinal_position": 45}, {"identifier": "Y43", "position": [19, 15], "step": 45, "ordinal_position": 46}, {"identifier": "Y01", "position": [19, 16], "step": 46, "ordinal_position": 47}, {"identifier": "V03", "position": [19, 17], "step": 47, "ordinal_position": 48}, {"identifier": "F92", "position": [19, 18], "step": 48, "ordinal_position": 49}, {"identifier": "F72", "position": [19, 19], "step": 49, "ordinal_position": 50}, {"identifier": "M52", "position": [18, 19], "step": 50, "ordinal_position": 51}, {"identifier": "C45", "position": [17, 19], "step": 51, "ordinal_position": 52}, {"identifier": "L22", "position": [16, 19], "step": 52, "ordinal_position": 53}, {"identifier": "R51", "position": [15, 19], "step": 53, "ordinal_position": 54}, {"identifier": "R97", "position": [14, 19], "step": 54, "ordinal_position": 55}, {"identifier": "S97", "position": [13, 19], "step": 55, "ordinal_position": 56}, {"identifier": "T74", "position": [12, 19], "step": 56, "ordinal_position": 57}, {"identifier": "M62", "position": [11, 19], "step": 57, "ordinal_position": 58}, {"identifier": "T65", "position": [10, 19], "step": 58, "ordinal_position": 59}, {"identifier": "U06", "position": [9, 19], "step": 59, "ordinal_position": 60}, {"identifier": "E31", "position": [8, 19], "step": 60, "ordinal_position": 61}, {"identifier": "Z55", "position": [7, 19], "step": 61, "ordinal_position": 62}, {"identifier": "G40", "position": [7, 18], "step": 62, "ordinal_position": 63}, {"identifier": "H06", "position": [7, 17], "step": 63, "ordinal_position": 64}, {"identifier": "C19", "position": [6, 17], "step": 64, "ordinal_position": 65}, {"identifier": "N54", "position": [5, 17], "step": 65, "ordinal_position": 66}, {"identifier": "P75", "position": [5, 18], "step": 66, "ordinal_position": 67}, {"identifier": "A70", "position": [5, 19], "step": 67, "ordinal_position": 68}, {"identifier": "Z25", "position": [4, 19], "step": 68, "ordinal_position": 69}, {"identifier": "T56", "position": [3, 19], "step": 69, "ordinal_position": 70}, {"identifier": "H44", "position": [2, 19], "step": 70, "ordinal_position": 71}, {"identifier": "B01", "position": [1, 19], "step": 71, "ordinal_position": 72}, {"identifier": "V06", "position": [1, 18], "step": 72, "ordinal_position": 73}, {"identifier": "M68", "position": [1, 17], "step": 73, "ordinal_position": 74}, {"identifier": "Q58", "position": [1, 16], "step": 74, "ordinal_position": 75}, {"identifier": "B20", "position": [1, 15], "step": 75, "ordinal_position": 76}, {"identifier": "C91", "position": [1, 14], "step": 76, "ordinal_position": 77}, {"identifier": "I82", "position": [1, 13], "step": 77, "ordinal_position": 78}, {"identifier": "E59", "position": [1, 12], "step": 78, "ordinal_position": 79}, {"identifier": "A47", "position": [1, 11], "step": 79, "ordinal_position": 80}, {"identifier": "V32", "position": [2, 11], "step": 80, "ordinal_position": 81}, {"identifier": "I17", "position": [3, 11], "step": 81, "ordinal_position": 82}, {"identifier": "B53", "position": [3, 10], "step": 82, "ordinal_position": 83}, {"identifier": "I68", "position": [3, 9], "step": 83, "ordinal_position": 84}, {"identifier": "S07", "position": [2, 9], "step": 84, "ordinal_position": 85}, {"identifier": "W15", "position": [1, 9], "step": 85, "ordinal_position": 86}, {"identifier": "V44", "position": [1, 8], "step": 86, "ordinal_position": 87}, {"identifier": "Q50", "position": [1, 7], "step": 87, "ordinal_position": 88}, {"identifier": "J21", "position": [1, 6], "step": 88, "ordinal_position": 89}, {"identifier": "Z44", "position": [1, 5], "step": 89, "ordinal_position": 90}, {"identifier": "E85", "position": [1, 4], "step": 90, "ordinal_position": 91}, {"identifier": "Z00", "position": [1, 3], "step": 91, "ordinal_position": 92}, {"identifier": "U39", "position": [1, 2], "step": 92, "ordinal_position": 93}, {"identifier": "A98", "position": [1, 1], "step": 93, "ordinal_position": 94}, {"identifier": "K62", "position": [2, 1], "step": 94, "ordinal_position": 95}, {"identifier": "E74", "position": [3, 1], "step": 95, "ordinal_position": 96}, {"identifier": "Q18", "position": [4, 1], "step": 96, "ordinal_position": 97}, {"identifier": "Q01", "position": [5, 1], "step": 97, "ordinal_position": 98}, {"identifier": "X41", "position": [6, 1], "step": 98, "ordinal_position": 99}, {"identifier": "D33", "position": [7, 1], "step": 99, "ordinal_position": 100}, {"identifier": "U97", "position": [7, 2], "step": 100, "ordinal_position": 101}, {"identifier": "O99", "position": [7, 3], "step": 101, "ordinal_position": 102}, {"identifier": "T26", "position": [8, 3], "step": 102, "ordinal_position": 103}, {"identifier": "U08", "position": [9, 3], "step": 103, "ordinal_position": 104}, {"identifier": "Z13", "position": [9, 2], "step": 104, "ordinal_position": 105}, {"identifier": "D86", "position": [9, 1], "step": 105, "ordinal_position": 106}, {"identifier": "Q04", "position": [10, 1], "step": 106, "ordinal_position": 107}, {"identifier": "H84", "position": [11, 1], "step": 107, "ordinal_position": 108}, {"identifier": "D13", "position": [11, 2], "step": 108, "ordinal_position": 109}, {"identifier": "X80", "position": [11, 3], "step": 109, "ordinal_position": 110}, {"identifier": "T35", "position": [12, 3], "step": 110, "ordinal_position": 111}, {"identifier": "E14", "position": [13, 3], "step": 111, "ordinal_position": 112}, {"identifier": "T13", "position": [13, 2], "step": 112, "ordinal_position": 113}, {"identifier": "O12", "position": [13, 1], "step": 113, "ordinal_position": 114}, {"identifier": "G18", "position": [14, 1], "step": 114, "ordinal_position": 115}, {"identifier": "A19", "position": [15, 1], "step": 115, "ordinal_position": 116}, {"identifier": "Q16", "position": [16, 1], "step": 116, "ordinal_position": 117}, {"identifier": "C98", "position": [17, 1], "step": 117, "ordinal_position": 118}, {"identifier": "V55", "position": [18, 1], "step": 118, "ordinal_position": 119}, {"identifier": "I97", "position": [19, 1], "step": 119, "ordinal_position": 120}, {"identifier": "U02", "position": [19, 2], "step": 120, "ordinal_position": 121}, {"identifier": "A78", "position": [19, 3], "step": 121, "ordinal_position": 122}, {"identifier": "O74", "position": [19, 4], "step": 122, "ordinal_position": 123}, {"identifier": "C09", "position": [19, 5], "step": 123, "ordinal_position": 124}, {"identifier": "E30", "position": [19, 6], "step": 124, "ordinal_position": 125}, {"identifier": "A21", "position": [19, 7], "step": 125, "ordinal_position": 126}, {"identifier": "B00", "position": [19, 8], "step": 126, "ordinal_position": 127}, {"identifier": "D02", "position": [19, 9], "step": 127, "ordinal_position": 128}, {"identifier": "V50", "position": [19, 10], "step": 128, "ordinal_position": 129}, {"identifier": "F79", "position": [19, 11], "step": 129, "ordinal_position": 130}, {"identifier": "M13", "position": [19, 12], "step": 130, "ordinal_position": 131}, {"identifier": "D29", "position": [19, 13], "step": 131, "ordinal_position": 132}, {"identifier": "R07", "position": [19, 14], "step": 132, "ordinal_position": 133}, {"identifier": "Y43", "position": [19, 15], "step": 133, "ordinal_position": 134}, {"identifier": "Y01", "position": [19, 16], "step": 134, "ordinal_position": 135}, {"identifier": "V03", "position": [19, 17], "step": 135, "ordinal_position": 136}, {"identifier": "F92", "position": [19, 18], "step": 136, "ordinal_position": 137}, {"identifier": "F72", "position": [19, 19], "step": 137, "ordinal_position": 138}, {"identifier": "M52", "position": [18, 19], "step": 138, "ordinal_position": 139}, {"identifier": "C45", "position": [17, 19], "step": 139, "ordinal_position": 140}, {"identifier": "L22", "position": [16, 19], "step": 140, "ordinal_position": 141}, {"identifier": "R51", "position": [15, 19], "step": 141, "ordinal_position": 142}, {"identifier": "R97", "position": [14, 19], "step": 142, "ordinal_position": 143}, {"identifier": "S97", "position": [13, 19], "step": 143, "ordinal_position": 144}, {"identifier": "T74", "position": [12, 19], "step": 144, "ordinal_position": 145}, {"identifier": "M62", "position": [11, 19], "step": 145, "ordinal_position": 146}, {"identifier": "T65", "position": [10, 19], "step": 146, "ordinal_position": 147}, {"identifier": "U06", "position": [9, 19], "step": 147, "ordinal_position": 148}, {"identifier": "E31", "position": [8, 19], "step": 148, "ordinal_position": 149}, {"identifier": "Z55", "position": [7, 19], "step": 149, "ordinal_position": 150}, {"identifier": "G40", "position": [7, 18], "step": 150, "ordinal_position": 151}, {"identifier": "H06", "position": [7, 17], "step": 151, "ordinal_position": 152}, {"identifier": "C19", "position": [6, 17], "step": 152, "ordinal_position": 153}, {"identifier": "N54", "position": [5, 17], "step": 153, "ordinal_position": 154}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 154, "direction": "up", "turn_preference": "left", "total_objects": 215, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_002.json"}} {"qa_id": "f054522cfc894fd4b910cfd2a2f1725c", "image_id": "L3-MazeLoop-test_21x21_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L06, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 19th position in this traversal?", "start_object_id": "L06", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [19], "ordinal_strings": ["19th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "C80", "traversal_path": [{"identifier": "L06", "position": [2, 3], "step": 0, "ordinal_position": 1}, {"identifier": "W89", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "J66", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "N97", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "E96", "position": [1, 6], "step": 4, "ordinal_position": 5}, {"identifier": "U89", "position": [1, 7], "step": 5, "ordinal_position": 6}, {"identifier": "R60", "position": [1, 8], "step": 6, "ordinal_position": 7}, {"identifier": "O77", "position": [1, 9], "step": 7, "ordinal_position": 8}, {"identifier": "C02", "position": [1, 10], "step": 8, "ordinal_position": 9}, {"identifier": "I93", "position": [1, 11], "step": 9, "ordinal_position": 10}, {"identifier": "B15", "position": [2, 11], "step": 10, "ordinal_position": 11}, {"identifier": "Q77", "position": [3, 11], "step": 11, "ordinal_position": 12}, {"identifier": "R22", "position": [4, 11], "step": 12, "ordinal_position": 13}, {"identifier": "I08", "position": [5, 11], "step": 13, "ordinal_position": 14}, {"identifier": "J19", "position": [6, 11], "step": 14, "ordinal_position": 15}, {"identifier": "P95", "position": [7, 11], "step": 15, "ordinal_position": 16}, {"identifier": "T96", "position": [8, 11], "step": 16, "ordinal_position": 17}, {"identifier": "E95", "position": [9, 11], "step": 17, "ordinal_position": 18}, {"identifier": "C80", "position": [10, 11], "step": 18, "ordinal_position": 19}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 19, "direction": "left", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_003.json"}} {"qa_id": "efd432b9bdfc42e2b452a20a096ade92", "image_id": "L3-MazeLoop-test_21x21_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X21, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 15th position in this traversal?", "start_object_id": "X21", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [15], "ordinal_strings": ["15th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "V69", "traversal_path": [{"identifier": "X21", "position": [9, 8], "step": 0, "ordinal_position": 1}, {"identifier": "C78", "position": [9, 9], "step": 1, "ordinal_position": 2}, {"identifier": "Z97", "position": [10, 9], "step": 2, "ordinal_position": 3}, {"identifier": "T77", "position": [11, 9], "step": 3, "ordinal_position": 4}, {"identifier": "J04", "position": [11, 8], "step": 4, "ordinal_position": 5}, {"identifier": "F22", "position": [11, 7], "step": 5, "ordinal_position": 6}, {"identifier": "F31", "position": [12, 7], "step": 6, "ordinal_position": 7}, {"identifier": "V99", "position": [13, 7], "step": 7, "ordinal_position": 8}, {"identifier": "S47", "position": [13, 6], "step": 8, "ordinal_position": 9}, {"identifier": "A14", "position": [13, 5], "step": 9, "ordinal_position": 10}, {"identifier": "M93", "position": [12, 5], "step": 10, "ordinal_position": 11}, {"identifier": "X38", "position": [11, 5], "step": 11, "ordinal_position": 12}, {"identifier": "T03", "position": [10, 5], "step": 12, "ordinal_position": 13}, {"identifier": "L08", "position": [9, 5], "step": 13, "ordinal_position": 14}, {"identifier": "V69", "position": [9, 6], "step": 14, "ordinal_position": 15}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 15, "direction": "down", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_003.json"}} {"qa_id": "d7a9a5ae2dab4d3a8321321874fed82a", "image_id": "L3-MazeLoop-test_21x21_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H51, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "H51", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "P39", "traversal_path": [{"identifier": "H51", "position": [5, 17], "step": 0, "ordinal_position": 1}, {"identifier": "F33", "position": [5, 18], "step": 1, "ordinal_position": 2}, {"identifier": "R13", "position": [5, 19], "step": 2, "ordinal_position": 3}, {"identifier": "P39", "position": [6, 19], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 4, "direction": "down", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_003.json"}} {"qa_id": "3addb6db9d614fc998ed5c43452b4264", "image_id": "L3-MazeLoop-test_21x21_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X11, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "X11", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Z50", "traversal_path": [{"identifier": "X11", "position": [13, 13], "step": 0, "ordinal_position": 1}, {"identifier": "F26", "position": [13, 12], "step": 1, "ordinal_position": 2}, {"identifier": "Z50", "position": [13, 11], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 3, "direction": "up", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_003.json"}} {"qa_id": "5e7ac88db9af4286b3718bd08b9e729e", "image_id": "L3-MazeLoop-test_21x21_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W17, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "W17", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "W27", "traversal_path": [{"identifier": "W17", "position": [13, 10], "step": 0, "ordinal_position": 1}, {"identifier": "C17", "position": [13, 9], "step": 1, "ordinal_position": 2}, {"identifier": "W27", "position": [13, 8], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 3, "direction": "up", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_003.json"}} {"qa_id": "10f3afd796624b669ca7cb779622acf3", "image_id": "L3-MazeLoop-test_21x21_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M26, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 95th position in this traversal?", "start_object_id": "M26", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [95], "ordinal_strings": ["95th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M93", "traversal_path": [{"identifier": "M26", "position": [18, 1], "step": 0, "ordinal_position": 1}, {"identifier": "U56", "position": [17, 1], "step": 1, "ordinal_position": 2}, {"identifier": "B38", "position": [16, 1], "step": 2, "ordinal_position": 3}, {"identifier": "L00", "position": [15, 1], "step": 3, "ordinal_position": 4}, {"identifier": "O18", "position": [14, 1], "step": 4, "ordinal_position": 5}, {"identifier": "I17", "position": [13, 1], "step": 5, "ordinal_position": 6}, {"identifier": "V71", "position": [12, 1], "step": 6, "ordinal_position": 7}, {"identifier": "V94", "position": [11, 1], "step": 7, "ordinal_position": 8}, {"identifier": "I12", "position": [10, 1], "step": 8, "ordinal_position": 9}, {"identifier": "T01", "position": [9, 1], "step": 9, "ordinal_position": 10}, {"identifier": "X54", "position": [8, 1], "step": 10, "ordinal_position": 11}, {"identifier": "V11", "position": [7, 1], "step": 11, "ordinal_position": 12}, {"identifier": "A19", "position": [7, 2], "step": 12, "ordinal_position": 13}, {"identifier": "X27", "position": [7, 3], "step": 13, "ordinal_position": 14}, {"identifier": "H31", "position": [7, 4], "step": 14, "ordinal_position": 15}, {"identifier": "A96", "position": [7, 5], "step": 15, "ordinal_position": 16}, {"identifier": "E09", "position": [7, 6], "step": 16, "ordinal_position": 17}, {"identifier": "A07", "position": [7, 7], "step": 17, "ordinal_position": 18}, {"identifier": "L89", "position": [7, 8], "step": 18, "ordinal_position": 19}, {"identifier": "Y16", "position": [7, 9], "step": 19, "ordinal_position": 20}, {"identifier": "V66", "position": [8, 9], "step": 20, "ordinal_position": 21}, {"identifier": "C78", "position": [9, 9], "step": 21, "ordinal_position": 22}, {"identifier": "Z97", "position": [10, 9], "step": 22, "ordinal_position": 23}, {"identifier": "T77", "position": [11, 9], "step": 23, "ordinal_position": 24}, {"identifier": "J04", "position": [11, 8], "step": 24, "ordinal_position": 25}, {"identifier": "F22", "position": [11, 7], "step": 25, "ordinal_position": 26}, {"identifier": "F31", "position": [12, 7], "step": 26, "ordinal_position": 27}, {"identifier": "V99", "position": [13, 7], "step": 27, "ordinal_position": 28}, {"identifier": "S47", "position": [13, 6], "step": 28, "ordinal_position": 29}, {"identifier": "A14", "position": [13, 5], "step": 29, "ordinal_position": 30}, {"identifier": "M93", "position": [12, 5], "step": 30, "ordinal_position": 31}, {"identifier": "X38", "position": [11, 5], "step": 31, "ordinal_position": 32}, {"identifier": "T03", "position": [10, 5], "step": 32, "ordinal_position": 33}, {"identifier": "L08", "position": [9, 5], "step": 33, "ordinal_position": 34}, {"identifier": "V69", "position": [9, 6], "step": 34, "ordinal_position": 35}, {"identifier": "B75", "position": [9, 7], "step": 35, "ordinal_position": 36}, {"identifier": "X21", "position": [9, 8], "step": 36, "ordinal_position": 37}, {"identifier": "C78", "position": [9, 9], "step": 37, "ordinal_position": 38}, {"identifier": "Z97", "position": [10, 9], "step": 38, "ordinal_position": 39}, {"identifier": "T77", "position": [11, 9], "step": 39, "ordinal_position": 40}, {"identifier": "J04", "position": [11, 8], "step": 40, "ordinal_position": 41}, {"identifier": "F22", "position": [11, 7], "step": 41, "ordinal_position": 42}, {"identifier": "F31", "position": [12, 7], "step": 42, "ordinal_position": 43}, {"identifier": "V99", "position": [13, 7], "step": 43, "ordinal_position": 44}, {"identifier": "S47", "position": [13, 6], "step": 44, "ordinal_position": 45}, {"identifier": "A14", "position": [13, 5], "step": 45, "ordinal_position": 46}, {"identifier": "M93", "position": [12, 5], "step": 46, "ordinal_position": 47}, {"identifier": "X38", "position": [11, 5], "step": 47, "ordinal_position": 48}, {"identifier": "T03", "position": [10, 5], "step": 48, "ordinal_position": 49}, {"identifier": "L08", "position": [9, 5], "step": 49, "ordinal_position": 50}, {"identifier": "V69", "position": [9, 6], "step": 50, "ordinal_position": 51}, {"identifier": "B75", "position": [9, 7], "step": 51, "ordinal_position": 52}, {"identifier": "X21", "position": [9, 8], "step": 52, "ordinal_position": 53}, {"identifier": "C78", "position": [9, 9], "step": 53, "ordinal_position": 54}, {"identifier": "Z97", "position": [10, 9], "step": 54, "ordinal_position": 55}, {"identifier": "T77", "position": [11, 9], "step": 55, "ordinal_position": 56}, {"identifier": "J04", "position": [11, 8], "step": 56, "ordinal_position": 57}, {"identifier": "F22", "position": [11, 7], "step": 57, "ordinal_position": 58}, {"identifier": "F31", "position": [12, 7], "step": 58, "ordinal_position": 59}, {"identifier": "V99", "position": [13, 7], "step": 59, "ordinal_position": 60}, {"identifier": "S47", "position": [13, 6], "step": 60, "ordinal_position": 61}, {"identifier": "A14", "position": [13, 5], "step": 61, "ordinal_position": 62}, {"identifier": "M93", "position": [12, 5], "step": 62, "ordinal_position": 63}, {"identifier": "X38", "position": [11, 5], "step": 63, "ordinal_position": 64}, {"identifier": "T03", "position": [10, 5], "step": 64, "ordinal_position": 65}, {"identifier": "L08", "position": [9, 5], "step": 65, "ordinal_position": 66}, {"identifier": "V69", "position": [9, 6], "step": 66, "ordinal_position": 67}, {"identifier": "B75", "position": [9, 7], "step": 67, "ordinal_position": 68}, {"identifier": "X21", "position": [9, 8], "step": 68, "ordinal_position": 69}, {"identifier": "C78", "position": [9, 9], "step": 69, "ordinal_position": 70}, {"identifier": "Z97", "position": [10, 9], "step": 70, "ordinal_position": 71}, {"identifier": "T77", "position": [11, 9], "step": 71, "ordinal_position": 72}, {"identifier": "J04", "position": [11, 8], "step": 72, "ordinal_position": 73}, {"identifier": "F22", "position": [11, 7], "step": 73, "ordinal_position": 74}, {"identifier": "F31", "position": [12, 7], "step": 74, "ordinal_position": 75}, {"identifier": "V99", "position": [13, 7], "step": 75, "ordinal_position": 76}, {"identifier": "S47", "position": [13, 6], "step": 76, "ordinal_position": 77}, {"identifier": "A14", "position": [13, 5], "step": 77, "ordinal_position": 78}, {"identifier": "M93", "position": [12, 5], "step": 78, "ordinal_position": 79}, {"identifier": "X38", "position": [11, 5], "step": 79, "ordinal_position": 80}, {"identifier": "T03", "position": [10, 5], "step": 80, "ordinal_position": 81}, {"identifier": "L08", "position": [9, 5], "step": 81, "ordinal_position": 82}, {"identifier": "V69", "position": [9, 6], "step": 82, "ordinal_position": 83}, {"identifier": "B75", "position": [9, 7], "step": 83, "ordinal_position": 84}, {"identifier": "X21", "position": [9, 8], "step": 84, "ordinal_position": 85}, {"identifier": "C78", "position": [9, 9], "step": 85, "ordinal_position": 86}, {"identifier": "Z97", "position": [10, 9], "step": 86, "ordinal_position": 87}, {"identifier": "T77", "position": [11, 9], "step": 87, "ordinal_position": 88}, {"identifier": "J04", "position": [11, 8], "step": 88, "ordinal_position": 89}, {"identifier": "F22", "position": [11, 7], "step": 89, "ordinal_position": 90}, {"identifier": "F31", "position": [12, 7], "step": 90, "ordinal_position": 91}, {"identifier": "V99", "position": [13, 7], "step": 91, "ordinal_position": 92}, {"identifier": "S47", "position": [13, 6], "step": 92, "ordinal_position": 93}, {"identifier": "A14", "position": [13, 5], "step": 93, "ordinal_position": 94}, {"identifier": "M93", "position": [12, 5], "step": 94, "ordinal_position": 95}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 95, "direction": "left", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_003.json"}} {"qa_id": "acfc6f4ea3e948f6b2d904e89fcd84c1", "image_id": "L3-MazeLoop-test_21x21_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R19, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 60th position in this traversal?", "start_object_id": "R19", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [60], "ordinal_strings": ["60th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "V50", "traversal_path": [{"identifier": "R19", "position": [3, 8], "step": 0, "ordinal_position": 1}, {"identifier": "M28", "position": [3, 9], "step": 1, "ordinal_position": 2}, {"identifier": "B89", "position": [4, 9], "step": 2, "ordinal_position": 3}, {"identifier": "V50", "position": [5, 9], "step": 3, "ordinal_position": 4}, {"identifier": "A81", "position": [5, 8], "step": 4, "ordinal_position": 5}, {"identifier": "E97", "position": [5, 7], "step": 5, "ordinal_position": 6}, {"identifier": "Y11", "position": [4, 7], "step": 6, "ordinal_position": 7}, {"identifier": "E71", "position": [3, 7], "step": 7, "ordinal_position": 8}, {"identifier": "R19", "position": [3, 8], "step": 8, "ordinal_position": 9}, {"identifier": "M28", "position": [3, 9], "step": 9, "ordinal_position": 10}, {"identifier": "B89", "position": [4, 9], "step": 10, "ordinal_position": 11}, {"identifier": "V50", "position": [5, 9], "step": 11, "ordinal_position": 12}, {"identifier": "A81", "position": [5, 8], "step": 12, "ordinal_position": 13}, {"identifier": "E97", "position": [5, 7], "step": 13, "ordinal_position": 14}, {"identifier": "Y11", "position": [4, 7], "step": 14, "ordinal_position": 15}, {"identifier": "E71", "position": [3, 7], "step": 15, "ordinal_position": 16}, {"identifier": "R19", "position": [3, 8], "step": 16, "ordinal_position": 17}, {"identifier": "M28", "position": [3, 9], "step": 17, "ordinal_position": 18}, {"identifier": "B89", "position": [4, 9], "step": 18, "ordinal_position": 19}, {"identifier": "V50", "position": [5, 9], "step": 19, "ordinal_position": 20}, {"identifier": "A81", "position": [5, 8], "step": 20, "ordinal_position": 21}, {"identifier": "E97", "position": [5, 7], "step": 21, "ordinal_position": 22}, {"identifier": "Y11", "position": [4, 7], "step": 22, "ordinal_position": 23}, {"identifier": "E71", "position": [3, 7], "step": 23, "ordinal_position": 24}, {"identifier": "R19", "position": [3, 8], "step": 24, "ordinal_position": 25}, {"identifier": "M28", "position": [3, 9], "step": 25, "ordinal_position": 26}, {"identifier": "B89", "position": [4, 9], "step": 26, "ordinal_position": 27}, {"identifier": "V50", "position": [5, 9], "step": 27, "ordinal_position": 28}, {"identifier": "A81", "position": [5, 8], "step": 28, "ordinal_position": 29}, {"identifier": "E97", "position": [5, 7], "step": 29, "ordinal_position": 30}, {"identifier": "Y11", "position": [4, 7], "step": 30, "ordinal_position": 31}, {"identifier": "E71", "position": [3, 7], "step": 31, "ordinal_position": 32}, {"identifier": "R19", "position": [3, 8], "step": 32, "ordinal_position": 33}, {"identifier": "M28", "position": [3, 9], "step": 33, "ordinal_position": 34}, {"identifier": "B89", "position": [4, 9], "step": 34, "ordinal_position": 35}, {"identifier": "V50", "position": [5, 9], "step": 35, "ordinal_position": 36}, {"identifier": "A81", "position": [5, 8], "step": 36, "ordinal_position": 37}, {"identifier": "E97", "position": [5, 7], "step": 37, "ordinal_position": 38}, {"identifier": "Y11", "position": [4, 7], "step": 38, "ordinal_position": 39}, {"identifier": "E71", "position": [3, 7], "step": 39, "ordinal_position": 40}, {"identifier": "R19", "position": [3, 8], "step": 40, "ordinal_position": 41}, {"identifier": "M28", "position": [3, 9], "step": 41, "ordinal_position": 42}, {"identifier": "B89", "position": [4, 9], "step": 42, "ordinal_position": 43}, {"identifier": "V50", "position": [5, 9], "step": 43, "ordinal_position": 44}, {"identifier": "A81", "position": [5, 8], "step": 44, "ordinal_position": 45}, {"identifier": "E97", "position": [5, 7], "step": 45, "ordinal_position": 46}, {"identifier": "Y11", "position": [4, 7], "step": 46, "ordinal_position": 47}, {"identifier": "E71", "position": [3, 7], "step": 47, "ordinal_position": 48}, {"identifier": "R19", "position": [3, 8], "step": 48, "ordinal_position": 49}, {"identifier": "M28", "position": [3, 9], "step": 49, "ordinal_position": 50}, {"identifier": "B89", "position": [4, 9], "step": 50, "ordinal_position": 51}, {"identifier": "V50", "position": [5, 9], "step": 51, "ordinal_position": 52}, {"identifier": "A81", "position": [5, 8], "step": 52, "ordinal_position": 53}, {"identifier": "E97", "position": [5, 7], "step": 53, "ordinal_position": 54}, {"identifier": "Y11", "position": [4, 7], "step": 54, "ordinal_position": 55}, {"identifier": "E71", "position": [3, 7], "step": 55, "ordinal_position": 56}, {"identifier": "R19", "position": [3, 8], "step": 56, "ordinal_position": 57}, {"identifier": "M28", "position": [3, 9], "step": 57, "ordinal_position": 58}, {"identifier": "B89", "position": [4, 9], "step": 58, "ordinal_position": 59}, {"identifier": "V50", "position": [5, 9], "step": 59, "ordinal_position": 60}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 60, "direction": "down", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_003.json"}} {"qa_id": "bfe290d0cc5746daad54180ecd7f9789", "image_id": "L3-MazeLoop-test_21x21_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U61, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 26th position in this traversal?", "start_object_id": "U61", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [26], "ordinal_strings": ["26th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "I08", "traversal_path": [{"identifier": "U61", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "O38", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "L65", "position": [4, 1], "step": 2, "ordinal_position": 3}, {"identifier": "R32", "position": [5, 1], "step": 3, "ordinal_position": 4}, {"identifier": "P80", "position": [5, 2], "step": 4, "ordinal_position": 5}, {"identifier": "P57", "position": [5, 3], "step": 5, "ordinal_position": 6}, {"identifier": "E44", "position": [5, 4], "step": 6, "ordinal_position": 7}, {"identifier": "F10", "position": [5, 5], "step": 7, "ordinal_position": 8}, {"identifier": "D50", "position": [4, 5], "step": 8, "ordinal_position": 9}, {"identifier": "V89", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "V28", "position": [3, 4], "step": 10, "ordinal_position": 11}, {"identifier": "Q39", "position": [3, 3], "step": 11, "ordinal_position": 12}, {"identifier": "L06", "position": [2, 3], "step": 12, "ordinal_position": 13}, {"identifier": "W89", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "J66", "position": [1, 4], "step": 14, "ordinal_position": 15}, {"identifier": "N97", "position": [1, 5], "step": 15, "ordinal_position": 16}, {"identifier": "E96", "position": [1, 6], "step": 16, "ordinal_position": 17}, {"identifier": "U89", "position": [1, 7], "step": 17, "ordinal_position": 18}, {"identifier": "R60", "position": [1, 8], "step": 18, "ordinal_position": 19}, {"identifier": "O77", "position": [1, 9], "step": 19, "ordinal_position": 20}, {"identifier": "C02", "position": [1, 10], "step": 20, "ordinal_position": 21}, {"identifier": "I93", "position": [1, 11], "step": 21, "ordinal_position": 22}, {"identifier": "B15", "position": [2, 11], "step": 22, "ordinal_position": 23}, {"identifier": "Q77", "position": [3, 11], "step": 23, "ordinal_position": 24}, {"identifier": "R22", "position": [4, 11], "step": 24, "ordinal_position": 25}, {"identifier": "I08", "position": [5, 11], "step": 25, "ordinal_position": 26}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 26, "direction": "right", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_003.json"}} {"qa_id": "960820a4024b4686bd12127240638ab0", "image_id": "L3-MazeLoop-test_21x21_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z97, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 54th position in this traversal?", "start_object_id": "Z97", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [54], "ordinal_strings": ["54th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "A53", "traversal_path": [{"identifier": "Z97", "position": [10, 9], "step": 0, "ordinal_position": 1}, {"identifier": "C78", "position": [9, 9], "step": 1, "ordinal_position": 2}, {"identifier": "V66", "position": [8, 9], "step": 2, "ordinal_position": 3}, {"identifier": "Y16", "position": [7, 9], "step": 3, "ordinal_position": 4}, {"identifier": "L89", "position": [7, 8], "step": 4, "ordinal_position": 5}, {"identifier": "A07", "position": [7, 7], "step": 5, "ordinal_position": 6}, {"identifier": "E09", "position": [7, 6], "step": 6, "ordinal_position": 7}, {"identifier": "A96", "position": [7, 5], "step": 7, "ordinal_position": 8}, {"identifier": "H31", "position": [7, 4], "step": 8, "ordinal_position": 9}, {"identifier": "X27", "position": [7, 3], "step": 9, "ordinal_position": 10}, {"identifier": "A19", "position": [7, 2], "step": 10, "ordinal_position": 11}, {"identifier": "V11", "position": [7, 1], "step": 11, "ordinal_position": 12}, {"identifier": "X54", "position": [8, 1], "step": 12, "ordinal_position": 13}, {"identifier": "T01", "position": [9, 1], "step": 13, "ordinal_position": 14}, {"identifier": "I12", "position": [10, 1], "step": 14, "ordinal_position": 15}, {"identifier": "V94", "position": [11, 1], "step": 15, "ordinal_position": 16}, {"identifier": "V71", "position": [12, 1], "step": 16, "ordinal_position": 17}, {"identifier": "I17", "position": [13, 1], "step": 17, "ordinal_position": 18}, {"identifier": "O18", "position": [14, 1], "step": 18, "ordinal_position": 19}, {"identifier": "L00", "position": [15, 1], "step": 19, "ordinal_position": 20}, {"identifier": "B38", "position": [16, 1], "step": 20, "ordinal_position": 21}, {"identifier": "U56", "position": [17, 1], "step": 21, "ordinal_position": 22}, {"identifier": "M26", "position": [18, 1], "step": 22, "ordinal_position": 23}, {"identifier": "M45", "position": [19, 1], "step": 23, "ordinal_position": 24}, {"identifier": "K85", "position": [19, 2], "step": 24, "ordinal_position": 25}, {"identifier": "C93", "position": [19, 3], "step": 25, "ordinal_position": 26}, {"identifier": "T55", "position": [19, 4], "step": 26, "ordinal_position": 27}, {"identifier": "O41", "position": [19, 5], "step": 27, "ordinal_position": 28}, {"identifier": "T36", "position": [19, 6], "step": 28, "ordinal_position": 29}, {"identifier": "B35", "position": [19, 7], "step": 29, "ordinal_position": 30}, {"identifier": "E94", "position": [19, 8], "step": 30, "ordinal_position": 31}, {"identifier": "L10", "position": [19, 9], "step": 31, "ordinal_position": 32}, {"identifier": "Z70", "position": [19, 10], "step": 32, "ordinal_position": 33}, {"identifier": "N46", "position": [19, 11], "step": 33, "ordinal_position": 34}, {"identifier": "F00", "position": [19, 12], "step": 34, "ordinal_position": 35}, {"identifier": "O14", "position": [19, 13], "step": 35, "ordinal_position": 36}, {"identifier": "G43", "position": [19, 14], "step": 36, "ordinal_position": 37}, {"identifier": "R07", "position": [19, 15], "step": 37, "ordinal_position": 38}, {"identifier": "J31", "position": [19, 16], "step": 38, "ordinal_position": 39}, {"identifier": "H33", "position": [19, 17], "step": 39, "ordinal_position": 40}, {"identifier": "Y75", "position": [19, 18], "step": 40, "ordinal_position": 41}, {"identifier": "S70", "position": [19, 19], "step": 41, "ordinal_position": 42}, {"identifier": "P41", "position": [18, 19], "step": 42, "ordinal_position": 43}, {"identifier": "M90", "position": [17, 19], "step": 43, "ordinal_position": 44}, {"identifier": "H03", "position": [17, 18], "step": 44, "ordinal_position": 45}, {"identifier": "I95", "position": [17, 17], "step": 45, "ordinal_position": 46}, {"identifier": "Q94", "position": [16, 17], "step": 46, "ordinal_position": 47}, {"identifier": "R79", "position": [15, 17], "step": 47, "ordinal_position": 48}, {"identifier": "D27", "position": [15, 18], "step": 48, "ordinal_position": 49}, {"identifier": "A30", "position": [15, 19], "step": 49, "ordinal_position": 50}, {"identifier": "X63", "position": [14, 19], "step": 50, "ordinal_position": 51}, {"identifier": "U07", "position": [13, 19], "step": 51, "ordinal_position": 52}, {"identifier": "D76", "position": [12, 19], "step": 52, "ordinal_position": 53}, {"identifier": "A53", "position": [11, 19], "step": 53, "ordinal_position": 54}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 54, "direction": "left", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_003.json"}} {"qa_id": "69c2d21893614595a5e156d9f51eeb5f", "image_id": "L3-MazeLoop-test_21x21_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z70, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 56th position in this traversal?", "start_object_id": "Z70", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [56], "ordinal_strings": ["56th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "E65", "traversal_path": [{"identifier": "Z70", "position": [19, 10], "step": 0, "ordinal_position": 1}, {"identifier": "N46", "position": [19, 11], "step": 1, "ordinal_position": 2}, {"identifier": "F00", "position": [19, 12], "step": 2, "ordinal_position": 3}, {"identifier": "O14", "position": [19, 13], "step": 3, "ordinal_position": 4}, {"identifier": "G43", "position": [19, 14], "step": 4, "ordinal_position": 5}, {"identifier": "R07", "position": [19, 15], "step": 5, "ordinal_position": 6}, {"identifier": "J31", "position": [19, 16], "step": 6, "ordinal_position": 7}, {"identifier": "H33", "position": [19, 17], "step": 7, "ordinal_position": 8}, {"identifier": "Y75", "position": [19, 18], "step": 8, "ordinal_position": 9}, {"identifier": "S70", "position": [19, 19], "step": 9, "ordinal_position": 10}, {"identifier": "P41", "position": [18, 19], "step": 10, "ordinal_position": 11}, {"identifier": "M90", "position": [17, 19], "step": 11, "ordinal_position": 12}, {"identifier": "H03", "position": [17, 18], "step": 12, "ordinal_position": 13}, {"identifier": "I95", "position": [17, 17], "step": 13, "ordinal_position": 14}, {"identifier": "Q94", "position": [16, 17], "step": 14, "ordinal_position": 15}, {"identifier": "R79", "position": [15, 17], "step": 15, "ordinal_position": 16}, {"identifier": "D27", "position": [15, 18], "step": 16, "ordinal_position": 17}, {"identifier": "A30", "position": [15, 19], "step": 17, "ordinal_position": 18}, {"identifier": "X63", "position": [14, 19], "step": 18, "ordinal_position": 19}, {"identifier": "U07", "position": [13, 19], "step": 19, "ordinal_position": 20}, {"identifier": "D76", "position": [12, 19], "step": 20, "ordinal_position": 21}, {"identifier": "A53", "position": [11, 19], "step": 21, "ordinal_position": 22}, {"identifier": "N93", "position": [10, 19], "step": 22, "ordinal_position": 23}, {"identifier": "N04", "position": [9, 19], "step": 23, "ordinal_position": 24}, {"identifier": "C51", "position": [8, 19], "step": 24, "ordinal_position": 25}, {"identifier": "V78", "position": [7, 19], "step": 25, "ordinal_position": 26}, {"identifier": "P39", "position": [6, 19], "step": 26, "ordinal_position": 27}, {"identifier": "R13", "position": [5, 19], "step": 27, "ordinal_position": 28}, {"identifier": "F33", "position": [5, 18], "step": 28, "ordinal_position": 29}, {"identifier": "H51", "position": [5, 17], "step": 29, "ordinal_position": 30}, {"identifier": "U32", "position": [4, 17], "step": 30, "ordinal_position": 31}, {"identifier": "X09", "position": [3, 17], "step": 31, "ordinal_position": 32}, {"identifier": "J80", "position": [3, 18], "step": 32, "ordinal_position": 33}, {"identifier": "G38", "position": [3, 19], "step": 33, "ordinal_position": 34}, {"identifier": "F87", "position": [2, 19], "step": 34, "ordinal_position": 35}, {"identifier": "T54", "position": [1, 19], "step": 35, "ordinal_position": 36}, {"identifier": "A20", "position": [1, 18], "step": 36, "ordinal_position": 37}, {"identifier": "W75", "position": [1, 17], "step": 37, "ordinal_position": 38}, {"identifier": "H81", "position": [1, 16], "step": 38, "ordinal_position": 39}, {"identifier": "W71", "position": [1, 15], "step": 39, "ordinal_position": 40}, {"identifier": "X28", "position": [1, 14], "step": 40, "ordinal_position": 41}, {"identifier": "P25", "position": [1, 13], "step": 41, "ordinal_position": 42}, {"identifier": "L75", "position": [2, 13], "step": 42, "ordinal_position": 43}, {"identifier": "Z74", "position": [3, 13], "step": 43, "ordinal_position": 44}, {"identifier": "H82", "position": [4, 13], "step": 44, "ordinal_position": 45}, {"identifier": "Y07", "position": [5, 13], "step": 45, "ordinal_position": 46}, {"identifier": "L83", "position": [6, 13], "step": 46, "ordinal_position": 47}, {"identifier": "J79", "position": [7, 13], "step": 47, "ordinal_position": 48}, {"identifier": "B77", "position": [8, 13], "step": 48, "ordinal_position": 49}, {"identifier": "M88", "position": [9, 13], "step": 49, "ordinal_position": 50}, {"identifier": "E06", "position": [10, 13], "step": 50, "ordinal_position": 51}, {"identifier": "E37", "position": [11, 13], "step": 51, "ordinal_position": 52}, {"identifier": "R67", "position": [11, 14], "step": 52, "ordinal_position": 53}, {"identifier": "B48", "position": [11, 15], "step": 53, "ordinal_position": 54}, {"identifier": "Z31", "position": [10, 15], "step": 54, "ordinal_position": 55}, {"identifier": "E65", "position": [9, 15], "step": 55, "ordinal_position": 56}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 56, "direction": "down", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_003.json"}} {"qa_id": "4e259e0340eb43189d3e31f3ad353f93", "image_id": "L3-MazeLoop-test_21x21_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K01, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 128th position in this traversal?", "start_object_id": "K01", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [128], "ordinal_strings": ["128th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "E37", "traversal_path": [{"identifier": "K01", "position": [17, 2], "step": 0, "ordinal_position": 1}, {"identifier": "U56", "position": [17, 1], "step": 1, "ordinal_position": 2}, {"identifier": "M26", "position": [18, 1], "step": 2, "ordinal_position": 3}, {"identifier": "M45", "position": [19, 1], "step": 3, "ordinal_position": 4}, {"identifier": "K85", "position": [19, 2], "step": 4, "ordinal_position": 5}, {"identifier": "C93", "position": [19, 3], "step": 5, "ordinal_position": 6}, {"identifier": "T55", "position": [19, 4], "step": 6, "ordinal_position": 7}, {"identifier": "O41", "position": [19, 5], "step": 7, "ordinal_position": 8}, {"identifier": "T36", "position": [19, 6], "step": 8, "ordinal_position": 9}, {"identifier": "B35", "position": [19, 7], "step": 9, "ordinal_position": 10}, {"identifier": "E94", "position": [19, 8], "step": 10, "ordinal_position": 11}, {"identifier": "L10", "position": [19, 9], "step": 11, "ordinal_position": 12}, {"identifier": "Z70", "position": [19, 10], "step": 12, "ordinal_position": 13}, {"identifier": "N46", "position": [19, 11], "step": 13, "ordinal_position": 14}, {"identifier": "F00", "position": [19, 12], "step": 14, "ordinal_position": 15}, {"identifier": "O14", "position": [19, 13], "step": 15, "ordinal_position": 16}, {"identifier": "G43", "position": [19, 14], "step": 16, "ordinal_position": 17}, {"identifier": "R07", "position": [19, 15], "step": 17, "ordinal_position": 18}, {"identifier": "J31", "position": [19, 16], "step": 18, "ordinal_position": 19}, {"identifier": "H33", "position": [19, 17], "step": 19, "ordinal_position": 20}, {"identifier": "Y75", "position": [19, 18], "step": 20, "ordinal_position": 21}, {"identifier": "S70", "position": [19, 19], "step": 21, "ordinal_position": 22}, {"identifier": "P41", "position": [18, 19], "step": 22, "ordinal_position": 23}, {"identifier": "M90", "position": [17, 19], "step": 23, "ordinal_position": 24}, {"identifier": "H03", "position": [17, 18], "step": 24, "ordinal_position": 25}, {"identifier": "I95", "position": [17, 17], "step": 25, "ordinal_position": 26}, {"identifier": "Q94", "position": [16, 17], "step": 26, "ordinal_position": 27}, {"identifier": "R79", "position": [15, 17], "step": 27, "ordinal_position": 28}, {"identifier": "D27", "position": [15, 18], "step": 28, "ordinal_position": 29}, {"identifier": "A30", "position": [15, 19], "step": 29, "ordinal_position": 30}, {"identifier": "X63", "position": [14, 19], "step": 30, "ordinal_position": 31}, {"identifier": "U07", "position": [13, 19], "step": 31, "ordinal_position": 32}, {"identifier": "D76", "position": [12, 19], "step": 32, "ordinal_position": 33}, {"identifier": "A53", "position": [11, 19], "step": 33, "ordinal_position": 34}, {"identifier": "N93", "position": [10, 19], "step": 34, "ordinal_position": 35}, {"identifier": "N04", "position": [9, 19], "step": 35, "ordinal_position": 36}, {"identifier": "C51", "position": [8, 19], "step": 36, "ordinal_position": 37}, {"identifier": "V78", "position": [7, 19], "step": 37, "ordinal_position": 38}, {"identifier": "P39", "position": [6, 19], "step": 38, "ordinal_position": 39}, {"identifier": "R13", "position": [5, 19], "step": 39, "ordinal_position": 40}, {"identifier": "F33", "position": [5, 18], "step": 40, "ordinal_position": 41}, {"identifier": "H51", "position": [5, 17], "step": 41, "ordinal_position": 42}, {"identifier": "U32", "position": [4, 17], "step": 42, "ordinal_position": 43}, {"identifier": "X09", "position": [3, 17], "step": 43, "ordinal_position": 44}, {"identifier": "J80", "position": [3, 18], "step": 44, "ordinal_position": 45}, {"identifier": "G38", "position": [3, 19], "step": 45, "ordinal_position": 46}, {"identifier": "F87", "position": [2, 19], "step": 46, "ordinal_position": 47}, {"identifier": "T54", "position": [1, 19], "step": 47, "ordinal_position": 48}, {"identifier": "A20", "position": [1, 18], "step": 48, "ordinal_position": 49}, {"identifier": "W75", "position": [1, 17], "step": 49, "ordinal_position": 50}, {"identifier": "H81", "position": [1, 16], "step": 50, "ordinal_position": 51}, {"identifier": "W71", "position": [1, 15], "step": 51, "ordinal_position": 52}, {"identifier": "X28", "position": [1, 14], "step": 52, "ordinal_position": 53}, {"identifier": "P25", "position": [1, 13], "step": 53, "ordinal_position": 54}, {"identifier": "L75", "position": [2, 13], "step": 54, "ordinal_position": 55}, {"identifier": "Z74", "position": [3, 13], "step": 55, "ordinal_position": 56}, {"identifier": "H82", "position": [4, 13], "step": 56, "ordinal_position": 57}, {"identifier": "Y07", "position": [5, 13], "step": 57, "ordinal_position": 58}, {"identifier": "L83", "position": [6, 13], "step": 58, "ordinal_position": 59}, {"identifier": "J79", "position": [7, 13], "step": 59, "ordinal_position": 60}, {"identifier": "B77", "position": [8, 13], "step": 60, "ordinal_position": 61}, {"identifier": "M88", "position": [9, 13], "step": 61, "ordinal_position": 62}, {"identifier": "E06", "position": [10, 13], "step": 62, "ordinal_position": 63}, {"identifier": "E37", "position": [11, 13], "step": 63, "ordinal_position": 64}, {"identifier": "R67", "position": [11, 14], "step": 64, "ordinal_position": 65}, {"identifier": "B48", "position": [11, 15], "step": 65, "ordinal_position": 66}, {"identifier": "Z31", "position": [10, 15], "step": 66, "ordinal_position": 67}, {"identifier": "E65", "position": [9, 15], "step": 67, "ordinal_position": 68}, {"identifier": "B43", "position": [9, 14], "step": 68, "ordinal_position": 69}, {"identifier": "M88", "position": [9, 13], "step": 69, "ordinal_position": 70}, {"identifier": "E06", "position": [10, 13], "step": 70, "ordinal_position": 71}, {"identifier": "E37", "position": [11, 13], "step": 71, "ordinal_position": 72}, {"identifier": "R67", "position": [11, 14], "step": 72, "ordinal_position": 73}, {"identifier": "B48", "position": [11, 15], "step": 73, "ordinal_position": 74}, {"identifier": "Z31", "position": [10, 15], "step": 74, "ordinal_position": 75}, {"identifier": "E65", "position": [9, 15], "step": 75, "ordinal_position": 76}, {"identifier": "B43", "position": [9, 14], "step": 76, "ordinal_position": 77}, {"identifier": "M88", "position": [9, 13], "step": 77, "ordinal_position": 78}, {"identifier": "E06", "position": [10, 13], "step": 78, "ordinal_position": 79}, {"identifier": "E37", "position": [11, 13], "step": 79, "ordinal_position": 80}, {"identifier": "R67", "position": [11, 14], "step": 80, "ordinal_position": 81}, {"identifier": "B48", "position": [11, 15], "step": 81, "ordinal_position": 82}, {"identifier": "Z31", "position": [10, 15], "step": 82, "ordinal_position": 83}, {"identifier": "E65", "position": [9, 15], "step": 83, "ordinal_position": 84}, {"identifier": "B43", "position": [9, 14], "step": 84, "ordinal_position": 85}, {"identifier": "M88", "position": [9, 13], "step": 85, "ordinal_position": 86}, {"identifier": "E06", "position": [10, 13], "step": 86, "ordinal_position": 87}, {"identifier": "E37", "position": [11, 13], "step": 87, "ordinal_position": 88}, {"identifier": "R67", "position": [11, 14], "step": 88, "ordinal_position": 89}, {"identifier": "B48", "position": [11, 15], "step": 89, "ordinal_position": 90}, {"identifier": "Z31", "position": [10, 15], "step": 90, "ordinal_position": 91}, {"identifier": "E65", "position": [9, 15], "step": 91, "ordinal_position": 92}, {"identifier": "B43", "position": [9, 14], "step": 92, "ordinal_position": 93}, {"identifier": "M88", "position": [9, 13], "step": 93, "ordinal_position": 94}, {"identifier": "E06", "position": [10, 13], "step": 94, "ordinal_position": 95}, {"identifier": "E37", "position": [11, 13], "step": 95, "ordinal_position": 96}, {"identifier": "R67", "position": [11, 14], "step": 96, "ordinal_position": 97}, {"identifier": "B48", "position": [11, 15], "step": 97, "ordinal_position": 98}, {"identifier": "Z31", "position": [10, 15], "step": 98, "ordinal_position": 99}, {"identifier": "E65", "position": [9, 15], "step": 99, "ordinal_position": 100}, {"identifier": "B43", "position": [9, 14], "step": 100, "ordinal_position": 101}, {"identifier": "M88", "position": [9, 13], "step": 101, "ordinal_position": 102}, {"identifier": "E06", "position": [10, 13], "step": 102, "ordinal_position": 103}, {"identifier": "E37", "position": [11, 13], "step": 103, "ordinal_position": 104}, {"identifier": "R67", "position": [11, 14], "step": 104, "ordinal_position": 105}, {"identifier": "B48", "position": [11, 15], "step": 105, "ordinal_position": 106}, {"identifier": "Z31", "position": [10, 15], "step": 106, "ordinal_position": 107}, {"identifier": "E65", "position": [9, 15], "step": 107, "ordinal_position": 108}, {"identifier": "B43", "position": [9, 14], "step": 108, "ordinal_position": 109}, {"identifier": "M88", "position": [9, 13], "step": 109, "ordinal_position": 110}, {"identifier": "E06", "position": [10, 13], "step": 110, "ordinal_position": 111}, {"identifier": "E37", "position": [11, 13], "step": 111, "ordinal_position": 112}, {"identifier": "R67", "position": [11, 14], "step": 112, "ordinal_position": 113}, {"identifier": "B48", "position": [11, 15], "step": 113, "ordinal_position": 114}, {"identifier": "Z31", "position": [10, 15], "step": 114, "ordinal_position": 115}, {"identifier": "E65", "position": [9, 15], "step": 115, "ordinal_position": 116}, {"identifier": "B43", "position": [9, 14], "step": 116, "ordinal_position": 117}, {"identifier": "M88", "position": [9, 13], "step": 117, "ordinal_position": 118}, {"identifier": "E06", "position": [10, 13], "step": 118, "ordinal_position": 119}, {"identifier": "E37", "position": [11, 13], "step": 119, "ordinal_position": 120}, {"identifier": "R67", "position": [11, 14], "step": 120, "ordinal_position": 121}, {"identifier": "B48", "position": [11, 15], "step": 121, "ordinal_position": 122}, {"identifier": "Z31", "position": [10, 15], "step": 122, "ordinal_position": 123}, {"identifier": "E65", "position": [9, 15], "step": 123, "ordinal_position": 124}, {"identifier": "B43", "position": [9, 14], "step": 124, "ordinal_position": 125}, {"identifier": "M88", "position": [9, 13], "step": 125, "ordinal_position": 126}, {"identifier": "E06", "position": [10, 13], "step": 126, "ordinal_position": 127}, {"identifier": "E37", "position": [11, 13], "step": 127, "ordinal_position": 128}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 128, "direction": "up", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_003.json"}} {"qa_id": "3e40c4dd047b4f8fb66685454d6d27ab", "image_id": "L3-MazeLoop-test_21x21_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F00, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 288th position in this traversal?", "start_object_id": "F00", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [288], "ordinal_strings": ["288th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "E65", "traversal_path": [{"identifier": "F00", "position": [19, 12], "step": 0, "ordinal_position": 1}, {"identifier": "N46", "position": [19, 11], "step": 1, "ordinal_position": 2}, {"identifier": "Z70", "position": [19, 10], "step": 2, "ordinal_position": 3}, {"identifier": "L10", "position": [19, 9], "step": 3, "ordinal_position": 4}, {"identifier": "E94", "position": [19, 8], "step": 4, "ordinal_position": 5}, {"identifier": "B35", "position": [19, 7], "step": 5, "ordinal_position": 6}, {"identifier": "T36", "position": [19, 6], "step": 6, "ordinal_position": 7}, {"identifier": "O41", "position": [19, 5], "step": 7, "ordinal_position": 8}, {"identifier": "T55", "position": [19, 4], "step": 8, "ordinal_position": 9}, {"identifier": "C93", "position": [19, 3], "step": 9, "ordinal_position": 10}, {"identifier": "K85", "position": [19, 2], "step": 10, "ordinal_position": 11}, {"identifier": "M45", "position": [19, 1], "step": 11, "ordinal_position": 12}, {"identifier": "M26", "position": [18, 1], "step": 12, "ordinal_position": 13}, {"identifier": "U56", "position": [17, 1], "step": 13, "ordinal_position": 14}, {"identifier": "B38", "position": [16, 1], "step": 14, "ordinal_position": 15}, {"identifier": "L00", "position": [15, 1], "step": 15, "ordinal_position": 16}, {"identifier": "O18", "position": [14, 1], "step": 16, "ordinal_position": 17}, {"identifier": "I17", "position": [13, 1], "step": 17, "ordinal_position": 18}, {"identifier": "V71", "position": [12, 1], "step": 18, "ordinal_position": 19}, {"identifier": "V94", "position": [11, 1], "step": 19, "ordinal_position": 20}, {"identifier": "I12", "position": [10, 1], "step": 20, "ordinal_position": 21}, {"identifier": "T01", "position": [9, 1], "step": 21, "ordinal_position": 22}, {"identifier": "X54", "position": [8, 1], "step": 22, "ordinal_position": 23}, {"identifier": "V11", "position": [7, 1], "step": 23, "ordinal_position": 24}, {"identifier": "A19", "position": [7, 2], "step": 24, "ordinal_position": 25}, {"identifier": "X27", "position": [7, 3], "step": 25, "ordinal_position": 26}, {"identifier": "H31", "position": [7, 4], "step": 26, "ordinal_position": 27}, {"identifier": "A96", "position": [7, 5], "step": 27, "ordinal_position": 28}, {"identifier": "E09", "position": [7, 6], "step": 28, "ordinal_position": 29}, {"identifier": "A07", "position": [7, 7], "step": 29, "ordinal_position": 30}, {"identifier": "L89", "position": [7, 8], "step": 30, "ordinal_position": 31}, {"identifier": "Y16", "position": [7, 9], "step": 31, "ordinal_position": 32}, {"identifier": "V66", "position": [8, 9], "step": 32, "ordinal_position": 33}, {"identifier": "C78", "position": [9, 9], "step": 33, "ordinal_position": 34}, {"identifier": "Z97", "position": [10, 9], "step": 34, "ordinal_position": 35}, {"identifier": "T77", "position": [11, 9], "step": 35, "ordinal_position": 36}, {"identifier": "J04", "position": [11, 8], "step": 36, "ordinal_position": 37}, {"identifier": "F22", "position": [11, 7], "step": 37, "ordinal_position": 38}, {"identifier": "F31", "position": [12, 7], "step": 38, "ordinal_position": 39}, {"identifier": "V99", "position": [13, 7], "step": 39, "ordinal_position": 40}, {"identifier": "W27", "position": [13, 8], "step": 40, "ordinal_position": 41}, {"identifier": "C17", "position": [13, 9], "step": 41, "ordinal_position": 42}, {"identifier": "W17", "position": [13, 10], "step": 42, "ordinal_position": 43}, {"identifier": "Z50", "position": [13, 11], "step": 43, "ordinal_position": 44}, {"identifier": "F26", "position": [13, 12], "step": 44, "ordinal_position": 45}, {"identifier": "X11", "position": [13, 13], "step": 45, "ordinal_position": 46}, {"identifier": "R44", "position": [13, 14], "step": 46, "ordinal_position": 47}, {"identifier": "Y14", "position": [13, 15], "step": 47, "ordinal_position": 48}, {"identifier": "Q92", "position": [13, 16], "step": 48, "ordinal_position": 49}, {"identifier": "N33", "position": [13, 17], "step": 49, "ordinal_position": 50}, {"identifier": "U98", "position": [12, 17], "step": 50, "ordinal_position": 51}, 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"ordinal_position": 281}, {"identifier": "M88", "position": [9, 13], "step": 281, "ordinal_position": 282}, {"identifier": "E06", "position": [10, 13], "step": 282, "ordinal_position": 283}, {"identifier": "E37", "position": [11, 13], "step": 283, "ordinal_position": 284}, {"identifier": "R67", "position": [11, 14], "step": 284, "ordinal_position": 285}, {"identifier": "B48", "position": [11, 15], "step": 285, "ordinal_position": 286}, {"identifier": "Z31", "position": [10, 15], "step": 286, "ordinal_position": 287}, {"identifier": "E65", "position": [9, 15], "step": 287, "ordinal_position": 288}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 288, "direction": "up", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_003.json"}} {"qa_id": "46e0126d9e7240448bcbd99fbf2e52fb", "image_id": "L3-MazeLoop-test_21x21_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I12, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 251st position in this traversal?", "start_object_id": "I12", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [251], "ordinal_strings": ["251st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "V69", "traversal_path": [{"identifier": "I12", "position": [10, 1], "step": 0, "ordinal_position": 1}, {"identifier": "T01", "position": [9, 1], "step": 1, "ordinal_position": 2}, {"identifier": "X54", "position": [8, 1], "step": 2, "ordinal_position": 3}, {"identifier": "V11", "position": [7, 1], "step": 3, "ordinal_position": 4}, {"identifier": "A19", "position": [7, 2], "step": 4, "ordinal_position": 5}, {"identifier": "X27", "position": [7, 3], "step": 5, "ordinal_position": 6}, {"identifier": "H31", "position": [7, 4], "step": 6, "ordinal_position": 7}, {"identifier": "A96", "position": [7, 5], "step": 7, "ordinal_position": 8}, {"identifier": "E09", "position": [7, 6], "step": 8, "ordinal_position": 9}, {"identifier": "A07", "position": [7, 7], "step": 9, "ordinal_position": 10}, {"identifier": "L89", "position": [7, 8], "step": 10, "ordinal_position": 11}, {"identifier": "Y16", "position": [7, 9], "step": 11, "ordinal_position": 12}, {"identifier": "V66", "position": [8, 9], "step": 12, "ordinal_position": 13}, {"identifier": "C78", "position": [9, 9], "step": 13, "ordinal_position": 14}, {"identifier": "Z97", "position": [10, 9], "step": 14, "ordinal_position": 15}, {"identifier": "T77", "position": [11, 9], "step": 15, "ordinal_position": 16}, {"identifier": "J04", "position": [11, 8], "step": 16, "ordinal_position": 17}, {"identifier": "F22", "position": [11, 7], "step": 17, "ordinal_position": 18}, {"identifier": "F31", "position": [12, 7], "step": 18, "ordinal_position": 19}, {"identifier": "V99", "position": [13, 7], "step": 19, "ordinal_position": 20}, {"identifier": "S47", "position": [13, 6], "step": 20, "ordinal_position": 21}, {"identifier": "A14", "position": [13, 5], "step": 21, "ordinal_position": 22}, {"identifier": "M93", "position": [12, 5], "step": 22, "ordinal_position": 23}, {"identifier": "X38", "position": [11, 5], "step": 23, "ordinal_position": 24}, {"identifier": "T03", "position": [10, 5], "step": 24, "ordinal_position": 25}, {"identifier": "L08", "position": [9, 5], "step": 25, "ordinal_position": 26}, {"identifier": "V69", "position": [9, 6], "step": 26, "ordinal_position": 27}, {"identifier": "B75", "position": [9, 7], "step": 27, "ordinal_position": 28}, {"identifier": "X21", "position": [9, 8], "step": 28, "ordinal_position": 29}, {"identifier": "C78", "position": [9, 9], "step": 29, "ordinal_position": 30}, {"identifier": "Z97", "position": [10, 9], "step": 30, "ordinal_position": 31}, {"identifier": "T77", "position": [11, 9], "step": 31, "ordinal_position": 32}, {"identifier": "J04", "position": [11, 8], "step": 32, "ordinal_position": 33}, {"identifier": "F22", "position": [11, 7], "step": 33, "ordinal_position": 34}, {"identifier": "F31", "position": [12, 7], "step": 34, "ordinal_position": 35}, {"identifier": "V99", "position": [13, 7], "step": 35, "ordinal_position": 36}, {"identifier": "S47", "position": [13, 6], "step": 36, "ordinal_position": 37}, {"identifier": "A14", "position": [13, 5], "step": 37, "ordinal_position": 38}, {"identifier": "M93", "position": [12, 5], "step": 38, "ordinal_position": 39}, {"identifier": "X38", "position": [11, 5], "step": 39, "ordinal_position": 40}, {"identifier": "T03", "position": [10, 5], "step": 40, "ordinal_position": 41}, {"identifier": "L08", "position": [9, 5], "step": 41, "ordinal_position": 42}, {"identifier": "V69", "position": [9, 6], "step": 42, "ordinal_position": 43}, {"identifier": "B75", "position": [9, 7], "step": 43, "ordinal_position": 44}, {"identifier": "X21", "position": [9, 8], "step": 44, "ordinal_position": 45}, {"identifier": "C78", "position": [9, 9], "step": 45, "ordinal_position": 46}, {"identifier": "Z97", "position": [10, 9], "step": 46, "ordinal_position": 47}, {"identifier": "T77", "position": [11, 9], "step": 47, "ordinal_position": 48}, {"identifier": "J04", "position": [11, 8], "step": 48, "ordinal_position": 49}, {"identifier": "F22", "position": [11, 7], "step": 49, "ordinal_position": 50}, {"identifier": "F31", "position": [12, 7], "step": 50, "ordinal_position": 51}, {"identifier": "V99", "position": [13, 7], "step": 51, "ordinal_position": 52}, {"identifier": "S47", "position": [13, 6], "step": 52, "ordinal_position": 53}, {"identifier": "A14", "position": [13, 5], "step": 53, "ordinal_position": 54}, {"identifier": "M93", "position": [12, 5], "step": 54, "ordinal_position": 55}, {"identifier": "X38", "position": [11, 5], "step": 55, "ordinal_position": 56}, {"identifier": "T03", "position": [10, 5], "step": 56, "ordinal_position": 57}, {"identifier": "L08", "position": [9, 5], "step": 57, "ordinal_position": 58}, {"identifier": "V69", "position": [9, 6], "step": 58, "ordinal_position": 59}, {"identifier": "B75", "position": [9, 7], "step": 59, "ordinal_position": 60}, {"identifier": "X21", "position": [9, 8], "step": 60, "ordinal_position": 61}, {"identifier": "C78", "position": [9, 9], "step": 61, "ordinal_position": 62}, {"identifier": "Z97", "position": [10, 9], "step": 62, "ordinal_position": 63}, {"identifier": "T77", "position": [11, 9], "step": 63, "ordinal_position": 64}, {"identifier": "J04", "position": [11, 8], "step": 64, "ordinal_position": 65}, {"identifier": "F22", "position": [11, 7], "step": 65, "ordinal_position": 66}, {"identifier": "F31", "position": [12, 7], "step": 66, "ordinal_position": 67}, {"identifier": "V99", "position": [13, 7], "step": 67, "ordinal_position": 68}, {"identifier": "S47", "position": [13, 6], "step": 68, "ordinal_position": 69}, {"identifier": "A14", "position": [13, 5], "step": 69, "ordinal_position": 70}, {"identifier": "M93", "position": [12, 5], "step": 70, "ordinal_position": 71}, {"identifier": "X38", "position": [11, 5], "step": 71, "ordinal_position": 72}, {"identifier": "T03", "position": [10, 5], "step": 72, "ordinal_position": 73}, {"identifier": "L08", "position": [9, 5], "step": 73, "ordinal_position": 74}, {"identifier": "V69", "position": [9, 6], "step": 74, "ordinal_position": 75}, {"identifier": "B75", "position": [9, 7], "step": 75, "ordinal_position": 76}, {"identifier": "X21", "position": [9, 8], "step": 76, "ordinal_position": 77}, {"identifier": "C78", "position": [9, 9], "step": 77, "ordinal_position": 78}, {"identifier": "Z97", "position": [10, 9], "step": 78, "ordinal_position": 79}, {"identifier": "T77", "position": [11, 9], "step": 79, "ordinal_position": 80}, {"identifier": "J04", "position": [11, 8], "step": 80, "ordinal_position": 81}, {"identifier": "F22", "position": [11, 7], "step": 81, "ordinal_position": 82}, {"identifier": "F31", "position": [12, 7], "step": 82, "ordinal_position": 83}, {"identifier": "V99", "position": [13, 7], "step": 83, "ordinal_position": 84}, {"identifier": "S47", "position": [13, 6], "step": 84, "ordinal_position": 85}, {"identifier": "A14", "position": [13, 5], "step": 85, "ordinal_position": 86}, {"identifier": "M93", "position": [12, 5], "step": 86, "ordinal_position": 87}, {"identifier": "X38", "position": [11, 5], "step": 87, "ordinal_position": 88}, {"identifier": "T03", "position": [10, 5], "step": 88, "ordinal_position": 89}, {"identifier": "L08", "position": [9, 5], "step": 89, "ordinal_position": 90}, {"identifier": "V69", "position": [9, 6], "step": 90, "ordinal_position": 91}, {"identifier": "B75", "position": [9, 7], "step": 91, "ordinal_position": 92}, {"identifier": "X21", "position": [9, 8], "step": 92, "ordinal_position": 93}, {"identifier": "C78", "position": [9, 9], "step": 93, "ordinal_position": 94}, {"identifier": "Z97", "position": [10, 9], "step": 94, "ordinal_position": 95}, {"identifier": "T77", "position": [11, 9], "step": 95, "ordinal_position": 96}, {"identifier": "J04", "position": [11, 8], "step": 96, "ordinal_position": 97}, {"identifier": "F22", "position": [11, 7], "step": 97, "ordinal_position": 98}, {"identifier": "F31", "position": [12, 7], "step": 98, "ordinal_position": 99}, {"identifier": "V99", "position": [13, 7], "step": 99, "ordinal_position": 100}, {"identifier": "S47", "position": [13, 6], "step": 100, "ordinal_position": 101}, {"identifier": "A14", "position": [13, 5], "step": 101, "ordinal_position": 102}, {"identifier": "M93", "position": [12, 5], "step": 102, "ordinal_position": 103}, {"identifier": "X38", "position": [11, 5], "step": 103, "ordinal_position": 104}, {"identifier": "T03", "position": [10, 5], "step": 104, "ordinal_position": 105}, {"identifier": "L08", "position": [9, 5], "step": 105, "ordinal_position": 106}, {"identifier": "V69", "position": [9, 6], "step": 106, "ordinal_position": 107}, {"identifier": "B75", "position": [9, 7], "step": 107, "ordinal_position": 108}, {"identifier": "X21", "position": [9, 8], "step": 108, "ordinal_position": 109}, {"identifier": "C78", "position": [9, 9], "step": 109, "ordinal_position": 110}, {"identifier": "Z97", "position": [10, 9], "step": 110, "ordinal_position": 111}, {"identifier": "T77", "position": [11, 9], "step": 111, "ordinal_position": 112}, {"identifier": "J04", "position": [11, 8], "step": 112, "ordinal_position": 113}, {"identifier": "F22", "position": [11, 7], "step": 113, "ordinal_position": 114}, {"identifier": "F31", "position": [12, 7], "step": 114, "ordinal_position": 115}, {"identifier": "V99", "position": [13, 7], "step": 115, "ordinal_position": 116}, {"identifier": "S47", "position": [13, 6], "step": 116, "ordinal_position": 117}, {"identifier": "A14", "position": [13, 5], "step": 117, "ordinal_position": 118}, {"identifier": "M93", "position": [12, 5], "step": 118, "ordinal_position": 119}, {"identifier": "X38", "position": [11, 5], "step": 119, "ordinal_position": 120}, {"identifier": "T03", "position": [10, 5], "step": 120, "ordinal_position": 121}, {"identifier": "L08", "position": [9, 5], "step": 121, "ordinal_position": 122}, {"identifier": "V69", "position": [9, 6], "step": 122, "ordinal_position": 123}, {"identifier": "B75", "position": [9, 7], "step": 123, "ordinal_position": 124}, {"identifier": "X21", "position": [9, 8], "step": 124, "ordinal_position": 125}, {"identifier": "C78", "position": [9, 9], "step": 125, "ordinal_position": 126}, {"identifier": "Z97", "position": [10, 9], "step": 126, "ordinal_position": 127}, {"identifier": "T77", "position": [11, 9], "step": 127, "ordinal_position": 128}, {"identifier": "J04", "position": [11, 8], "step": 128, "ordinal_position": 129}, {"identifier": "F22", "position": [11, 7], "step": 129, "ordinal_position": 130}, {"identifier": "F31", "position": [12, 7], "step": 130, "ordinal_position": 131}, {"identifier": "V99", "position": [13, 7], "step": 131, "ordinal_position": 132}, {"identifier": "S47", "position": [13, 6], "step": 132, "ordinal_position": 133}, {"identifier": "A14", "position": [13, 5], "step": 133, "ordinal_position": 134}, {"identifier": "M93", "position": [12, 5], "step": 134, "ordinal_position": 135}, {"identifier": "X38", "position": [11, 5], "step": 135, "ordinal_position": 136}, {"identifier": "T03", "position": [10, 5], "step": 136, "ordinal_position": 137}, {"identifier": "L08", "position": [9, 5], "step": 137, "ordinal_position": 138}, {"identifier": "V69", "position": [9, 6], "step": 138, "ordinal_position": 139}, {"identifier": "B75", "position": [9, 7], "step": 139, "ordinal_position": 140}, {"identifier": "X21", "position": [9, 8], "step": 140, "ordinal_position": 141}, {"identifier": "C78", "position": [9, 9], "step": 141, "ordinal_position": 142}, {"identifier": "Z97", "position": [10, 9], "step": 142, "ordinal_position": 143}, {"identifier": "T77", "position": [11, 9], "step": 143, "ordinal_position": 144}, {"identifier": "J04", "position": [11, 8], "step": 144, "ordinal_position": 145}, {"identifier": "F22", "position": [11, 7], "step": 145, "ordinal_position": 146}, {"identifier": "F31", "position": [12, 7], "step": 146, "ordinal_position": 147}, {"identifier": "V99", "position": [13, 7], "step": 147, "ordinal_position": 148}, {"identifier": "S47", "position": [13, 6], "step": 148, "ordinal_position": 149}, {"identifier": "A14", "position": [13, 5], "step": 149, "ordinal_position": 150}, {"identifier": "M93", "position": [12, 5], "step": 150, "ordinal_position": 151}, {"identifier": "X38", "position": [11, 5], "step": 151, "ordinal_position": 152}, {"identifier": "T03", "position": [10, 5], "step": 152, "ordinal_position": 153}, {"identifier": "L08", "position": [9, 5], "step": 153, "ordinal_position": 154}, {"identifier": "V69", "position": [9, 6], "step": 154, "ordinal_position": 155}, {"identifier": "B75", "position": [9, 7], "step": 155, "ordinal_position": 156}, {"identifier": "X21", "position": [9, 8], "step": 156, "ordinal_position": 157}, {"identifier": "C78", "position": [9, 9], "step": 157, "ordinal_position": 158}, {"identifier": "Z97", "position": [10, 9], "step": 158, "ordinal_position": 159}, {"identifier": "T77", "position": [11, 9], "step": 159, "ordinal_position": 160}, {"identifier": "J04", "position": [11, 8], "step": 160, "ordinal_position": 161}, {"identifier": "F22", "position": [11, 7], "step": 161, "ordinal_position": 162}, {"identifier": "F31", "position": [12, 7], "step": 162, "ordinal_position": 163}, {"identifier": "V99", "position": [13, 7], "step": 163, "ordinal_position": 164}, {"identifier": "S47", "position": [13, 6], "step": 164, "ordinal_position": 165}, {"identifier": "A14", "position": [13, 5], "step": 165, "ordinal_position": 166}, {"identifier": "M93", "position": [12, 5], "step": 166, "ordinal_position": 167}, {"identifier": "X38", "position": [11, 5], "step": 167, "ordinal_position": 168}, {"identifier": "T03", "position": [10, 5], "step": 168, "ordinal_position": 169}, {"identifier": "L08", "position": [9, 5], "step": 169, "ordinal_position": 170}, {"identifier": "V69", "position": [9, 6], "step": 170, "ordinal_position": 171}, {"identifier": "B75", "position": [9, 7], "step": 171, "ordinal_position": 172}, {"identifier": "X21", "position": [9, 8], "step": 172, "ordinal_position": 173}, {"identifier": "C78", "position": [9, 9], "step": 173, "ordinal_position": 174}, {"identifier": "Z97", "position": [10, 9], "step": 174, "ordinal_position": 175}, {"identifier": "T77", "position": [11, 9], "step": 175, "ordinal_position": 176}, {"identifier": "J04", "position": [11, 8], "step": 176, "ordinal_position": 177}, {"identifier": "F22", "position": [11, 7], "step": 177, "ordinal_position": 178}, {"identifier": "F31", "position": [12, 7], "step": 178, "ordinal_position": 179}, {"identifier": "V99", "position": [13, 7], "step": 179, "ordinal_position": 180}, {"identifier": "S47", "position": [13, 6], "step": 180, "ordinal_position": 181}, {"identifier": "A14", "position": [13, 5], "step": 181, "ordinal_position": 182}, {"identifier": "M93", "position": [12, 5], "step": 182, "ordinal_position": 183}, {"identifier": "X38", "position": [11, 5], "step": 183, "ordinal_position": 184}, {"identifier": "T03", "position": [10, 5], "step": 184, "ordinal_position": 185}, {"identifier": "L08", "position": [9, 5], "step": 185, "ordinal_position": 186}, {"identifier": "V69", "position": [9, 6], "step": 186, "ordinal_position": 187}, {"identifier": "B75", "position": [9, 7], "step": 187, "ordinal_position": 188}, {"identifier": "X21", "position": [9, 8], "step": 188, "ordinal_position": 189}, {"identifier": "C78", "position": [9, 9], "step": 189, "ordinal_position": 190}, {"identifier": "Z97", "position": [10, 9], "step": 190, "ordinal_position": 191}, {"identifier": "T77", "position": [11, 9], "step": 191, "ordinal_position": 192}, {"identifier": "J04", "position": [11, 8], "step": 192, "ordinal_position": 193}, {"identifier": "F22", "position": [11, 7], "step": 193, "ordinal_position": 194}, {"identifier": "F31", "position": [12, 7], "step": 194, "ordinal_position": 195}, {"identifier": "V99", "position": [13, 7], "step": 195, "ordinal_position": 196}, {"identifier": "S47", "position": [13, 6], "step": 196, "ordinal_position": 197}, {"identifier": "A14", "position": [13, 5], "step": 197, "ordinal_position": 198}, {"identifier": "M93", "position": [12, 5], "step": 198, "ordinal_position": 199}, {"identifier": "X38", "position": [11, 5], "step": 199, "ordinal_position": 200}, {"identifier": "T03", "position": [10, 5], "step": 200, "ordinal_position": 201}, {"identifier": "L08", "position": [9, 5], "step": 201, "ordinal_position": 202}, {"identifier": "V69", "position": [9, 6], "step": 202, "ordinal_position": 203}, {"identifier": "B75", "position": [9, 7], "step": 203, "ordinal_position": 204}, {"identifier": "X21", "position": [9, 8], "step": 204, "ordinal_position": 205}, {"identifier": "C78", "position": [9, 9], "step": 205, "ordinal_position": 206}, {"identifier": "Z97", "position": [10, 9], "step": 206, "ordinal_position": 207}, {"identifier": "T77", "position": [11, 9], "step": 207, "ordinal_position": 208}, {"identifier": "J04", "position": [11, 8], "step": 208, "ordinal_position": 209}, {"identifier": "F22", "position": [11, 7], "step": 209, "ordinal_position": 210}, {"identifier": "F31", "position": [12, 7], "step": 210, "ordinal_position": 211}, {"identifier": "V99", "position": [13, 7], "step": 211, "ordinal_position": 212}, {"identifier": "S47", "position": [13, 6], "step": 212, "ordinal_position": 213}, {"identifier": "A14", "position": [13, 5], "step": 213, "ordinal_position": 214}, {"identifier": "M93", "position": [12, 5], "step": 214, "ordinal_position": 215}, {"identifier": "X38", "position": [11, 5], "step": 215, "ordinal_position": 216}, {"identifier": "T03", "position": [10, 5], "step": 216, "ordinal_position": 217}, {"identifier": "L08", "position": [9, 5], "step": 217, "ordinal_position": 218}, {"identifier": "V69", "position": [9, 6], "step": 218, "ordinal_position": 219}, {"identifier": "B75", "position": [9, 7], "step": 219, "ordinal_position": 220}, {"identifier": "X21", "position": [9, 8], "step": 220, "ordinal_position": 221}, {"identifier": "C78", "position": [9, 9], "step": 221, "ordinal_position": 222}, {"identifier": "Z97", "position": [10, 9], "step": 222, "ordinal_position": 223}, {"identifier": "T77", "position": [11, 9], "step": 223, "ordinal_position": 224}, {"identifier": "J04", "position": [11, 8], "step": 224, "ordinal_position": 225}, {"identifier": "F22", "position": [11, 7], "step": 225, "ordinal_position": 226}, {"identifier": "F31", "position": [12, 7], "step": 226, "ordinal_position": 227}, {"identifier": "V99", "position": [13, 7], "step": 227, "ordinal_position": 228}, {"identifier": "S47", "position": [13, 6], "step": 228, "ordinal_position": 229}, {"identifier": "A14", "position": [13, 5], "step": 229, "ordinal_position": 230}, {"identifier": "M93", "position": [12, 5], "step": 230, "ordinal_position": 231}, {"identifier": "X38", "position": [11, 5], "step": 231, "ordinal_position": 232}, {"identifier": "T03", "position": [10, 5], "step": 232, "ordinal_position": 233}, {"identifier": "L08", "position": [9, 5], "step": 233, "ordinal_position": 234}, {"identifier": "V69", "position": [9, 6], "step": 234, "ordinal_position": 235}, {"identifier": "B75", "position": [9, 7], "step": 235, "ordinal_position": 236}, {"identifier": "X21", "position": [9, 8], "step": 236, "ordinal_position": 237}, {"identifier": "C78", "position": [9, 9], "step": 237, "ordinal_position": 238}, {"identifier": "Z97", "position": [10, 9], "step": 238, "ordinal_position": 239}, {"identifier": "T77", "position": [11, 9], "step": 239, "ordinal_position": 240}, {"identifier": "J04", "position": [11, 8], "step": 240, "ordinal_position": 241}, {"identifier": "F22", "position": [11, 7], "step": 241, "ordinal_position": 242}, {"identifier": "F31", "position": [12, 7], "step": 242, "ordinal_position": 243}, {"identifier": "V99", "position": [13, 7], "step": 243, "ordinal_position": 244}, {"identifier": "S47", "position": [13, 6], "step": 244, "ordinal_position": 245}, {"identifier": "A14", "position": [13, 5], "step": 245, "ordinal_position": 246}, {"identifier": "M93", "position": [12, 5], "step": 246, "ordinal_position": 247}, {"identifier": "X38", "position": [11, 5], "step": 247, "ordinal_position": 248}, {"identifier": "T03", "position": [10, 5], "step": 248, "ordinal_position": 249}, {"identifier": "L08", "position": [9, 5], "step": 249, "ordinal_position": 250}, {"identifier": "V69", "position": [9, 6], "step": 250, "ordinal_position": 251}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 251, "direction": "left", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_003.json"}} {"qa_id": "e51eacf3c91b4fb794a6e3f8a22ae29c", "image_id": "L3-MazeLoop-test_21x21_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B89, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 257th position in this traversal?", "start_object_id": "B89", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [257], "ordinal_strings": ["257th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "B89", "traversal_path": [{"identifier": "B89", "position": [4, 9], "step": 0, "ordinal_position": 1}, {"identifier": "V50", "position": [5, 9], "step": 1, "ordinal_position": 2}, {"identifier": "A81", "position": [5, 8], "step": 2, "ordinal_position": 3}, {"identifier": "E97", "position": [5, 7], "step": 3, "ordinal_position": 4}, {"identifier": "Y11", "position": [4, 7], "step": 4, "ordinal_position": 5}, {"identifier": "E71", "position": [3, 7], "step": 5, "ordinal_position": 6}, {"identifier": "R19", "position": [3, 8], "step": 6, "ordinal_position": 7}, {"identifier": "M28", "position": [3, 9], "step": 7, "ordinal_position": 8}, {"identifier": "B89", "position": [4, 9], "step": 8, "ordinal_position": 9}, {"identifier": "V50", "position": [5, 9], "step": 9, "ordinal_position": 10}, {"identifier": "A81", "position": [5, 8], "step": 10, "ordinal_position": 11}, {"identifier": "E97", "position": [5, 7], "step": 11, "ordinal_position": 12}, {"identifier": "Y11", "position": [4, 7], "step": 12, "ordinal_position": 13}, {"identifier": "E71", "position": [3, 7], "step": 13, "ordinal_position": 14}, {"identifier": "R19", "position": [3, 8], "step": 14, "ordinal_position": 15}, {"identifier": "M28", "position": [3, 9], "step": 15, "ordinal_position": 16}, {"identifier": "B89", "position": [4, 9], "step": 16, "ordinal_position": 17}, {"identifier": "V50", "position": [5, 9], "step": 17, "ordinal_position": 18}, {"identifier": "A81", "position": [5, 8], "step": 18, "ordinal_position": 19}, {"identifier": "E97", "position": [5, 7], "step": 19, "ordinal_position": 20}, {"identifier": "Y11", "position": [4, 7], "step": 20, "ordinal_position": 21}, {"identifier": "E71", "position": [3, 7], "step": 21, "ordinal_position": 22}, {"identifier": "R19", "position": [3, 8], "step": 22, "ordinal_position": 23}, {"identifier": "M28", "position": [3, 9], "step": 23, "ordinal_position": 24}, {"identifier": "B89", "position": [4, 9], "step": 24, "ordinal_position": 25}, {"identifier": "V50", "position": [5, 9], "step": 25, "ordinal_position": 26}, {"identifier": "A81", "position": [5, 8], "step": 26, "ordinal_position": 27}, {"identifier": "E97", "position": [5, 7], "step": 27, "ordinal_position": 28}, {"identifier": "Y11", "position": [4, 7], "step": 28, "ordinal_position": 29}, {"identifier": "E71", "position": [3, 7], "step": 29, "ordinal_position": 30}, {"identifier": "R19", "position": [3, 8], "step": 30, "ordinal_position": 31}, {"identifier": "M28", "position": [3, 9], "step": 31, "ordinal_position": 32}, {"identifier": "B89", "position": [4, 9], "step": 32, "ordinal_position": 33}, {"identifier": "V50", "position": [5, 9], "step": 33, "ordinal_position": 34}, {"identifier": "A81", "position": [5, 8], "step": 34, "ordinal_position": 35}, {"identifier": "E97", "position": [5, 7], "step": 35, "ordinal_position": 36}, {"identifier": "Y11", "position": [4, 7], "step": 36, "ordinal_position": 37}, {"identifier": "E71", "position": [3, 7], "step": 37, "ordinal_position": 38}, {"identifier": "R19", "position": [3, 8], "step": 38, "ordinal_position": 39}, {"identifier": "M28", "position": [3, 9], "step": 39, "ordinal_position": 40}, {"identifier": "B89", "position": [4, 9], "step": 40, "ordinal_position": 41}, {"identifier": "V50", "position": [5, 9], "step": 41, "ordinal_position": 42}, {"identifier": "A81", "position": [5, 8], "step": 42, "ordinal_position": 43}, {"identifier": "E97", "position": [5, 7], "step": 43, "ordinal_position": 44}, {"identifier": "Y11", "position": [4, 7], "step": 44, "ordinal_position": 45}, {"identifier": "E71", "position": [3, 7], "step": 45, "ordinal_position": 46}, {"identifier": "R19", "position": [3, 8], "step": 46, "ordinal_position": 47}, {"identifier": "M28", "position": [3, 9], "step": 47, "ordinal_position": 48}, {"identifier": "B89", "position": [4, 9], "step": 48, "ordinal_position": 49}, {"identifier": "V50", "position": [5, 9], "step": 49, "ordinal_position": 50}, {"identifier": "A81", "position": [5, 8], "step": 50, "ordinal_position": 51}, {"identifier": "E97", "position": [5, 7], "step": 51, "ordinal_position": 52}, {"identifier": "Y11", "position": [4, 7], "step": 52, "ordinal_position": 53}, {"identifier": "E71", "position": [3, 7], "step": 53, "ordinal_position": 54}, {"identifier": "R19", "position": [3, 8], "step": 54, "ordinal_position": 55}, {"identifier": "M28", "position": [3, 9], "step": 55, "ordinal_position": 56}, {"identifier": "B89", "position": [4, 9], "step": 56, "ordinal_position": 57}, {"identifier": "V50", "position": [5, 9], "step": 57, "ordinal_position": 58}, {"identifier": "A81", "position": [5, 8], "step": 58, "ordinal_position": 59}, {"identifier": "E97", "position": [5, 7], "step": 59, "ordinal_position": 60}, {"identifier": "Y11", "position": [4, 7], "step": 60, "ordinal_position": 61}, {"identifier": "E71", "position": [3, 7], "step": 61, "ordinal_position": 62}, {"identifier": "R19", "position": [3, 8], "step": 62, "ordinal_position": 63}, {"identifier": "M28", "position": [3, 9], "step": 63, "ordinal_position": 64}, {"identifier": "B89", "position": [4, 9], "step": 64, "ordinal_position": 65}, {"identifier": "V50", "position": [5, 9], "step": 65, "ordinal_position": 66}, {"identifier": "A81", "position": [5, 8], "step": 66, "ordinal_position": 67}, {"identifier": "E97", "position": [5, 7], "step": 67, "ordinal_position": 68}, {"identifier": "Y11", "position": [4, 7], "step": 68, "ordinal_position": 69}, {"identifier": "E71", "position": [3, 7], "step": 69, "ordinal_position": 70}, {"identifier": "R19", "position": [3, 8], "step": 70, "ordinal_position": 71}, {"identifier": "M28", "position": [3, 9], "step": 71, "ordinal_position": 72}, {"identifier": "B89", "position": [4, 9], "step": 72, "ordinal_position": 73}, {"identifier": "V50", "position": [5, 9], "step": 73, "ordinal_position": 74}, {"identifier": "A81", "position": [5, 8], "step": 74, "ordinal_position": 75}, {"identifier": "E97", "position": [5, 7], "step": 75, "ordinal_position": 76}, {"identifier": "Y11", "position": [4, 7], "step": 76, 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"position": [5, 9], "step": 89, "ordinal_position": 90}, {"identifier": "A81", "position": [5, 8], "step": 90, "ordinal_position": 91}, {"identifier": "E97", "position": [5, 7], "step": 91, "ordinal_position": 92}, {"identifier": "Y11", "position": [4, 7], "step": 92, "ordinal_position": 93}, {"identifier": "E71", "position": [3, 7], "step": 93, "ordinal_position": 94}, {"identifier": "R19", "position": [3, 8], "step": 94, "ordinal_position": 95}, {"identifier": "M28", "position": [3, 9], "step": 95, "ordinal_position": 96}, {"identifier": "B89", "position": [4, 9], "step": 96, "ordinal_position": 97}, {"identifier": "V50", "position": [5, 9], "step": 97, "ordinal_position": 98}, {"identifier": "A81", "position": [5, 8], "step": 98, "ordinal_position": 99}, {"identifier": "E97", "position": [5, 7], "step": 99, "ordinal_position": 100}, {"identifier": "Y11", "position": [4, 7], "step": 100, "ordinal_position": 101}, {"identifier": "E71", "position": [3, 7], "step": 101, "ordinal_position": 102}, {"identifier": "R19", "position": [3, 8], "step": 102, "ordinal_position": 103}, {"identifier": "M28", "position": [3, 9], "step": 103, "ordinal_position": 104}, {"identifier": "B89", "position": [4, 9], "step": 104, "ordinal_position": 105}, {"identifier": "V50", "position": [5, 9], "step": 105, "ordinal_position": 106}, {"identifier": "A81", "position": [5, 8], "step": 106, "ordinal_position": 107}, {"identifier": "E97", "position": [5, 7], "step": 107, "ordinal_position": 108}, {"identifier": "Y11", "position": [4, 7], "step": 108, "ordinal_position": 109}, {"identifier": "E71", "position": [3, 7], "step": 109, "ordinal_position": 110}, {"identifier": "R19", "position": [3, 8], "step": 110, "ordinal_position": 111}, {"identifier": "M28", "position": [3, 9], "step": 111, "ordinal_position": 112}, {"identifier": "B89", "position": [4, 9], "step": 112, "ordinal_position": 113}, {"identifier": "V50", "position": [5, 9], "step": 113, "ordinal_position": 114}, 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"position": [3, 7], "step": 237, "ordinal_position": 238}, {"identifier": "R19", "position": [3, 8], "step": 238, "ordinal_position": 239}, {"identifier": "M28", "position": [3, 9], "step": 239, "ordinal_position": 240}, {"identifier": "B89", "position": [4, 9], "step": 240, "ordinal_position": 241}, {"identifier": "V50", "position": [5, 9], "step": 241, "ordinal_position": 242}, {"identifier": "A81", "position": [5, 8], "step": 242, "ordinal_position": 243}, {"identifier": "E97", "position": [5, 7], "step": 243, "ordinal_position": 244}, {"identifier": "Y11", "position": [4, 7], "step": 244, "ordinal_position": 245}, {"identifier": "E71", "position": [3, 7], "step": 245, "ordinal_position": 246}, {"identifier": "R19", "position": [3, 8], "step": 246, "ordinal_position": 247}, {"identifier": "M28", "position": [3, 9], "step": 247, "ordinal_position": 248}, {"identifier": "B89", "position": [4, 9], "step": 248, "ordinal_position": 249}, {"identifier": "V50", "position": [5, 9], "step": 249, "ordinal_position": 250}, {"identifier": "A81", "position": [5, 8], "step": 250, "ordinal_position": 251}, {"identifier": "E97", "position": [5, 7], "step": 251, "ordinal_position": 252}, {"identifier": "Y11", "position": [4, 7], "step": 252, "ordinal_position": 253}, {"identifier": "E71", "position": [3, 7], "step": 253, "ordinal_position": 254}, {"identifier": "R19", "position": [3, 8], "step": 254, "ordinal_position": 255}, {"identifier": "M28", "position": [3, 9], "step": 255, "ordinal_position": 256}, {"identifier": "B89", "position": [4, 9], "step": 256, "ordinal_position": 257}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 257, "direction": "right", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_003.json"}} {"qa_id": "089ccf6a45bd436cadc5e43c2311677e", "image_id": "L3-MazeLoop-test_21x21_003", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S47, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 226th position in this traversal?", "start_object_id": "S47", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [226], "ordinal_strings": ["226th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "X38", "traversal_path": [{"identifier": "S47", "position": [13, 6], "step": 0, "ordinal_position": 1}, {"identifier": "V99", "position": [13, 7], "step": 1, "ordinal_position": 2}, {"identifier": "W27", "position": [13, 8], "step": 2, "ordinal_position": 3}, {"identifier": "C17", "position": [13, 9], "step": 3, "ordinal_position": 4}, {"identifier": "W17", "position": [13, 10], "step": 4, "ordinal_position": 5}, {"identifier": "Z50", "position": [13, 11], "step": 5, "ordinal_position": 6}, {"identifier": "F26", "position": [13, 12], "step": 6, "ordinal_position": 7}, {"identifier": "X11", "position": [13, 13], "step": 7, "ordinal_position": 8}, {"identifier": "R44", "position": [13, 14], "step": 8, "ordinal_position": 9}, {"identifier": "Y14", "position": [13, 15], "step": 9, "ordinal_position": 10}, {"identifier": "Q92", "position": [13, 16], "step": 10, "ordinal_position": 11}, {"identifier": "N33", "position": [13, 17], "step": 11, "ordinal_position": 12}, {"identifier": "U98", "position": [12, 17], "step": 12, "ordinal_position": 13}, {"identifier": "P28", "position": [11, 17], "step": 13, "ordinal_position": 14}, {"identifier": "R55", "position": [10, 17], "step": 14, "ordinal_position": 15}, {"identifier": "E88", "position": [9, 17], "step": 15, "ordinal_position": 16}, {"identifier": "J09", "position": [9, 18], "step": 16, "ordinal_position": 17}, {"identifier": "N04", "position": [9, 19], "step": 17, "ordinal_position": 18}, {"identifier": "N93", "position": [10, 19], "step": 18, "ordinal_position": 19}, {"identifier": "A53", "position": [11, 19], "step": 19, "ordinal_position": 20}, {"identifier": "D76", "position": [12, 19], "step": 20, "ordinal_position": 21}, {"identifier": "U07", "position": [13, 19], "step": 21, "ordinal_position": 22}, {"identifier": "X63", "position": [14, 19], "step": 22, "ordinal_position": 23}, {"identifier": "A30", "position": [15, 19], "step": 23, "ordinal_position": 24}, {"identifier": "D27", "position": [15, 18], "step": 24, "ordinal_position": 25}, {"identifier": "R79", "position": [15, 17], "step": 25, "ordinal_position": 26}, {"identifier": "Q94", "position": [16, 17], "step": 26, "ordinal_position": 27}, {"identifier": "I95", "position": [17, 17], "step": 27, "ordinal_position": 28}, {"identifier": "H03", "position": [17, 18], "step": 28, "ordinal_position": 29}, {"identifier": "M90", "position": [17, 19], "step": 29, "ordinal_position": 30}, {"identifier": "P41", "position": [18, 19], "step": 30, "ordinal_position": 31}, {"identifier": "S70", "position": [19, 19], "step": 31, "ordinal_position": 32}, {"identifier": "Y75", "position": [19, 18], "step": 32, "ordinal_position": 33}, {"identifier": "H33", "position": [19, 17], "step": 33, "ordinal_position": 34}, {"identifier": "J31", "position": [19, 16], "step": 34, "ordinal_position": 35}, {"identifier": "R07", "position": [19, 15], "step": 35, "ordinal_position": 36}, {"identifier": "G43", "position": [19, 14], "step": 36, "ordinal_position": 37}, {"identifier": "O14", "position": [19, 13], "step": 37, "ordinal_position": 38}, {"identifier": "F00", "position": [19, 12], "step": 38, "ordinal_position": 39}, {"identifier": "N46", "position": [19, 11], "step": 39, "ordinal_position": 40}, {"identifier": "Z70", "position": [19, 10], "step": 40, "ordinal_position": 41}, {"identifier": "L10", "position": [19, 9], "step": 41, "ordinal_position": 42}, {"identifier": "E94", "position": [19, 8], "step": 42, "ordinal_position": 43}, {"identifier": "B35", "position": [19, 7], "step": 43, "ordinal_position": 44}, {"identifier": "T36", "position": [19, 6], "step": 44, "ordinal_position": 45}, {"identifier": "O41", "position": [19, 5], "step": 45, "ordinal_position": 46}, {"identifier": "T55", "position": [19, 4], "step": 46, "ordinal_position": 47}, {"identifier": "C93", "position": [19, 3], "step": 47, "ordinal_position": 48}, {"identifier": "K85", "position": [19, 2], "step": 48, "ordinal_position": 49}, {"identifier": "M45", "position": [19, 1], "step": 49, "ordinal_position": 50}, {"identifier": "M26", "position": [18, 1], "step": 50, "ordinal_position": 51}, {"identifier": "U56", "position": [17, 1], "step": 51, "ordinal_position": 52}, {"identifier": "B38", "position": [16, 1], "step": 52, "ordinal_position": 53}, {"identifier": "L00", "position": [15, 1], "step": 53, "ordinal_position": 54}, {"identifier": "O18", "position": [14, 1], "step": 54, "ordinal_position": 55}, {"identifier": "I17", "position": [13, 1], "step": 55, "ordinal_position": 56}, {"identifier": "V71", "position": [12, 1], "step": 56, "ordinal_position": 57}, {"identifier": "V94", "position": [11, 1], "step": 57, "ordinal_position": 58}, {"identifier": "I12", "position": [10, 1], "step": 58, "ordinal_position": 59}, {"identifier": "T01", "position": [9, 1], "step": 59, "ordinal_position": 60}, {"identifier": "X54", "position": [8, 1], "step": 60, "ordinal_position": 61}, {"identifier": "V11", "position": [7, 1], "step": 61, "ordinal_position": 62}, {"identifier": "A19", "position": [7, 2], "step": 62, "ordinal_position": 63}, {"identifier": "X27", "position": [7, 3], "step": 63, "ordinal_position": 64}, {"identifier": "H31", "position": [7, 4], "step": 64, "ordinal_position": 65}, {"identifier": "A96", "position": [7, 5], "step": 65, "ordinal_position": 66}, {"identifier": "E09", "position": [7, 6], "step": 66, "ordinal_position": 67}, {"identifier": "A07", "position": [7, 7], "step": 67, "ordinal_position": 68}, {"identifier": "L89", "position": [7, 8], "step": 68, "ordinal_position": 69}, {"identifier": "Y16", "position": [7, 9], "step": 69, "ordinal_position": 70}, {"identifier": "V66", "position": [8, 9], "step": 70, "ordinal_position": 71}, {"identifier": "C78", "position": [9, 9], "step": 71, "ordinal_position": 72}, {"identifier": "Z97", "position": [10, 9], "step": 72, "ordinal_position": 73}, {"identifier": "T77", "position": [11, 9], "step": 73, "ordinal_position": 74}, {"identifier": "J04", "position": [11, 8], "step": 74, "ordinal_position": 75}, {"identifier": "F22", "position": [11, 7], "step": 75, "ordinal_position": 76}, {"identifier": "F31", "position": [12, 7], "step": 76, "ordinal_position": 77}, {"identifier": "V99", "position": [13, 7], "step": 77, "ordinal_position": 78}, {"identifier": "S47", "position": [13, 6], "step": 78, "ordinal_position": 79}, {"identifier": "A14", "position": [13, 5], "step": 79, "ordinal_position": 80}, {"identifier": "M93", "position": [12, 5], "step": 80, "ordinal_position": 81}, {"identifier": "X38", "position": [11, 5], "step": 81, "ordinal_position": 82}, {"identifier": "T03", "position": [10, 5], "step": 82, "ordinal_position": 83}, {"identifier": "L08", "position": [9, 5], "step": 83, "ordinal_position": 84}, {"identifier": "V69", "position": [9, 6], "step": 84, "ordinal_position": 85}, {"identifier": "B75", "position": [9, 7], "step": 85, "ordinal_position": 86}, {"identifier": "X21", "position": [9, 8], "step": 86, "ordinal_position": 87}, {"identifier": "C78", "position": [9, 9], "step": 87, "ordinal_position": 88}, {"identifier": "Z97", "position": [10, 9], "step": 88, "ordinal_position": 89}, {"identifier": "T77", "position": [11, 9], "step": 89, "ordinal_position": 90}, {"identifier": "J04", "position": [11, 8], "step": 90, "ordinal_position": 91}, {"identifier": "F22", "position": [11, 7], "step": 91, "ordinal_position": 92}, {"identifier": "F31", "position": [12, 7], "step": 92, "ordinal_position": 93}, {"identifier": "V99", "position": [13, 7], "step": 93, "ordinal_position": 94}, {"identifier": "S47", "position": [13, 6], "step": 94, "ordinal_position": 95}, {"identifier": "A14", "position": [13, 5], "step": 95, "ordinal_position": 96}, {"identifier": "M93", "position": [12, 5], "step": 96, "ordinal_position": 97}, {"identifier": "X38", "position": [11, 5], "step": 97, "ordinal_position": 98}, {"identifier": "T03", "position": [10, 5], "step": 98, "ordinal_position": 99}, {"identifier": "L08", "position": [9, 5], "step": 99, "ordinal_position": 100}, {"identifier": "V69", "position": [9, 6], "step": 100, "ordinal_position": 101}, {"identifier": "B75", "position": [9, 7], "step": 101, "ordinal_position": 102}, {"identifier": "X21", "position": [9, 8], "step": 102, "ordinal_position": 103}, {"identifier": "C78", "position": [9, 9], "step": 103, "ordinal_position": 104}, {"identifier": "Z97", "position": [10, 9], "step": 104, "ordinal_position": 105}, {"identifier": "T77", "position": [11, 9], "step": 105, "ordinal_position": 106}, {"identifier": "J04", "position": [11, 8], "step": 106, "ordinal_position": 107}, {"identifier": "F22", "position": [11, 7], "step": 107, "ordinal_position": 108}, {"identifier": "F31", "position": [12, 7], "step": 108, "ordinal_position": 109}, {"identifier": "V99", "position": [13, 7], "step": 109, "ordinal_position": 110}, {"identifier": "S47", "position": [13, 6], "step": 110, "ordinal_position": 111}, {"identifier": "A14", "position": [13, 5], "step": 111, "ordinal_position": 112}, {"identifier": "M93", "position": [12, 5], "step": 112, "ordinal_position": 113}, {"identifier": "X38", "position": [11, 5], "step": 113, "ordinal_position": 114}, {"identifier": "T03", "position": [10, 5], "step": 114, "ordinal_position": 115}, {"identifier": "L08", "position": [9, 5], "step": 115, "ordinal_position": 116}, {"identifier": "V69", "position": [9, 6], "step": 116, "ordinal_position": 117}, {"identifier": "B75", "position": [9, 7], "step": 117, "ordinal_position": 118}, {"identifier": "X21", "position": [9, 8], "step": 118, "ordinal_position": 119}, {"identifier": "C78", "position": [9, 9], "step": 119, "ordinal_position": 120}, {"identifier": "Z97", "position": [10, 9], "step": 120, "ordinal_position": 121}, {"identifier": "T77", "position": [11, 9], "step": 121, "ordinal_position": 122}, {"identifier": "J04", "position": [11, 8], "step": 122, "ordinal_position": 123}, {"identifier": "F22", "position": [11, 7], "step": 123, "ordinal_position": 124}, {"identifier": "F31", "position": [12, 7], "step": 124, "ordinal_position": 125}, {"identifier": "V99", "position": [13, 7], "step": 125, "ordinal_position": 126}, {"identifier": "S47", "position": [13, 6], "step": 126, "ordinal_position": 127}, {"identifier": "A14", "position": [13, 5], "step": 127, "ordinal_position": 128}, {"identifier": "M93", "position": [12, 5], "step": 128, "ordinal_position": 129}, {"identifier": "X38", "position": [11, 5], "step": 129, "ordinal_position": 130}, {"identifier": "T03", "position": [10, 5], "step": 130, "ordinal_position": 131}, {"identifier": "L08", "position": [9, 5], "step": 131, "ordinal_position": 132}, {"identifier": "V69", "position": [9, 6], "step": 132, "ordinal_position": 133}, {"identifier": "B75", "position": [9, 7], "step": 133, "ordinal_position": 134}, {"identifier": "X21", "position": [9, 8], "step": 134, "ordinal_position": 135}, {"identifier": "C78", "position": [9, 9], "step": 135, "ordinal_position": 136}, {"identifier": "Z97", "position": [10, 9], "step": 136, "ordinal_position": 137}, {"identifier": "T77", "position": [11, 9], "step": 137, "ordinal_position": 138}, {"identifier": "J04", "position": [11, 8], "step": 138, "ordinal_position": 139}, {"identifier": "F22", "position": [11, 7], "step": 139, "ordinal_position": 140}, {"identifier": "F31", "position": [12, 7], "step": 140, "ordinal_position": 141}, {"identifier": "V99", "position": [13, 7], "step": 141, "ordinal_position": 142}, {"identifier": "S47", "position": [13, 6], "step": 142, "ordinal_position": 143}, {"identifier": "A14", "position": [13, 5], "step": 143, "ordinal_position": 144}, {"identifier": "M93", "position": [12, 5], "step": 144, "ordinal_position": 145}, {"identifier": "X38", "position": [11, 5], "step": 145, "ordinal_position": 146}, {"identifier": "T03", "position": [10, 5], "step": 146, "ordinal_position": 147}, {"identifier": "L08", "position": [9, 5], "step": 147, "ordinal_position": 148}, {"identifier": "V69", "position": [9, 6], "step": 148, "ordinal_position": 149}, {"identifier": "B75", "position": [9, 7], "step": 149, "ordinal_position": 150}, {"identifier": "X21", "position": [9, 8], "step": 150, "ordinal_position": 151}, {"identifier": "C78", "position": [9, 9], "step": 151, "ordinal_position": 152}, {"identifier": "Z97", "position": [10, 9], "step": 152, "ordinal_position": 153}, {"identifier": "T77", "position": [11, 9], "step": 153, "ordinal_position": 154}, {"identifier": "J04", "position": [11, 8], "step": 154, "ordinal_position": 155}, {"identifier": "F22", "position": [11, 7], "step": 155, "ordinal_position": 156}, {"identifier": "F31", "position": [12, 7], "step": 156, "ordinal_position": 157}, {"identifier": "V99", "position": [13, 7], "step": 157, "ordinal_position": 158}, {"identifier": "S47", "position": [13, 6], "step": 158, "ordinal_position": 159}, {"identifier": "A14", "position": [13, 5], "step": 159, "ordinal_position": 160}, {"identifier": "M93", "position": [12, 5], "step": 160, "ordinal_position": 161}, {"identifier": "X38", "position": [11, 5], "step": 161, "ordinal_position": 162}, {"identifier": "T03", "position": [10, 5], "step": 162, "ordinal_position": 163}, {"identifier": "L08", "position": [9, 5], "step": 163, "ordinal_position": 164}, {"identifier": "V69", "position": [9, 6], "step": 164, "ordinal_position": 165}, {"identifier": "B75", "position": [9, 7], "step": 165, "ordinal_position": 166}, {"identifier": "X21", "position": [9, 8], "step": 166, "ordinal_position": 167}, {"identifier": "C78", "position": [9, 9], "step": 167, "ordinal_position": 168}, {"identifier": "Z97", "position": [10, 9], "step": 168, "ordinal_position": 169}, {"identifier": "T77", "position": [11, 9], "step": 169, "ordinal_position": 170}, {"identifier": "J04", "position": [11, 8], "step": 170, "ordinal_position": 171}, {"identifier": "F22", "position": [11, 7], "step": 171, "ordinal_position": 172}, {"identifier": "F31", "position": [12, 7], "step": 172, "ordinal_position": 173}, {"identifier": "V99", "position": [13, 7], "step": 173, "ordinal_position": 174}, {"identifier": "S47", "position": [13, 6], "step": 174, "ordinal_position": 175}, {"identifier": "A14", "position": [13, 5], "step": 175, "ordinal_position": 176}, {"identifier": "M93", "position": [12, 5], "step": 176, "ordinal_position": 177}, {"identifier": "X38", "position": [11, 5], "step": 177, "ordinal_position": 178}, {"identifier": "T03", "position": [10, 5], "step": 178, "ordinal_position": 179}, {"identifier": "L08", "position": [9, 5], "step": 179, "ordinal_position": 180}, {"identifier": "V69", "position": [9, 6], "step": 180, "ordinal_position": 181}, {"identifier": "B75", "position": [9, 7], "step": 181, "ordinal_position": 182}, {"identifier": "X21", "position": [9, 8], "step": 182, "ordinal_position": 183}, {"identifier": "C78", "position": [9, 9], "step": 183, "ordinal_position": 184}, {"identifier": "Z97", "position": [10, 9], "step": 184, "ordinal_position": 185}, {"identifier": "T77", "position": [11, 9], "step": 185, "ordinal_position": 186}, {"identifier": "J04", "position": [11, 8], "step": 186, "ordinal_position": 187}, {"identifier": "F22", "position": [11, 7], "step": 187, "ordinal_position": 188}, {"identifier": "F31", "position": [12, 7], "step": 188, "ordinal_position": 189}, {"identifier": "V99", "position": [13, 7], "step": 189, "ordinal_position": 190}, {"identifier": "S47", "position": [13, 6], "step": 190, "ordinal_position": 191}, {"identifier": "A14", "position": [13, 5], "step": 191, "ordinal_position": 192}, {"identifier": "M93", "position": [12, 5], "step": 192, "ordinal_position": 193}, {"identifier": "X38", "position": [11, 5], "step": 193, "ordinal_position": 194}, {"identifier": "T03", "position": [10, 5], "step": 194, "ordinal_position": 195}, {"identifier": "L08", "position": [9, 5], "step": 195, "ordinal_position": 196}, {"identifier": "V69", "position": [9, 6], "step": 196, "ordinal_position": 197}, {"identifier": "B75", "position": [9, 7], "step": 197, "ordinal_position": 198}, {"identifier": "X21", "position": [9, 8], "step": 198, "ordinal_position": 199}, {"identifier": "C78", "position": [9, 9], "step": 199, "ordinal_position": 200}, {"identifier": "Z97", "position": [10, 9], "step": 200, "ordinal_position": 201}, {"identifier": "T77", "position": [11, 9], "step": 201, "ordinal_position": 202}, {"identifier": "J04", "position": [11, 8], "step": 202, "ordinal_position": 203}, {"identifier": "F22", "position": [11, 7], "step": 203, "ordinal_position": 204}, {"identifier": "F31", "position": [12, 7], "step": 204, "ordinal_position": 205}, {"identifier": "V99", "position": [13, 7], "step": 205, "ordinal_position": 206}, {"identifier": "S47", "position": [13, 6], "step": 206, "ordinal_position": 207}, {"identifier": "A14", "position": [13, 5], "step": 207, "ordinal_position": 208}, {"identifier": "M93", "position": [12, 5], "step": 208, "ordinal_position": 209}, {"identifier": "X38", "position": [11, 5], "step": 209, "ordinal_position": 210}, {"identifier": "T03", "position": [10, 5], "step": 210, "ordinal_position": 211}, {"identifier": "L08", "position": [9, 5], "step": 211, "ordinal_position": 212}, {"identifier": "V69", "position": [9, 6], "step": 212, "ordinal_position": 213}, {"identifier": "B75", "position": [9, 7], "step": 213, "ordinal_position": 214}, {"identifier": "X21", "position": [9, 8], "step": 214, "ordinal_position": 215}, {"identifier": "C78", "position": [9, 9], "step": 215, "ordinal_position": 216}, {"identifier": "Z97", "position": [10, 9], "step": 216, "ordinal_position": 217}, {"identifier": "T77", "position": [11, 9], "step": 217, "ordinal_position": 218}, {"identifier": "J04", "position": [11, 8], "step": 218, "ordinal_position": 219}, {"identifier": "F22", "position": [11, 7], "step": 219, "ordinal_position": 220}, {"identifier": "F31", "position": [12, 7], "step": 220, "ordinal_position": 221}, {"identifier": "V99", "position": [13, 7], "step": 221, "ordinal_position": 222}, {"identifier": "S47", "position": [13, 6], "step": 222, "ordinal_position": 223}, {"identifier": "A14", "position": [13, 5], "step": 223, "ordinal_position": 224}, {"identifier": "M93", "position": [12, 5], "step": 224, "ordinal_position": 225}, {"identifier": "X38", "position": [11, 5], "step": 225, "ordinal_position": 226}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 226, "direction": "down", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_003.json"}} {"qa_id": "ff7afe18461b409b835929827384c3af", "image_id": "L3-MazeLoop-test_21x21_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D10, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 21st position in this traversal?", "start_object_id": "D10", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [21], "ordinal_strings": ["21st"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "V46", "traversal_path": [{"identifier": "D10", "position": [15, 1], "step": 0, "ordinal_position": 1}, {"identifier": "N92", "position": [14, 1], "step": 1, "ordinal_position": 2}, {"identifier": "W86", "position": [13, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Z43", "position": [12, 1], "step": 3, "ordinal_position": 4}, {"identifier": "L47", "position": [11, 1], "step": 4, "ordinal_position": 5}, {"identifier": "T83", "position": [10, 1], "step": 5, "ordinal_position": 6}, {"identifier": "M40", "position": [9, 1], "step": 6, "ordinal_position": 7}, {"identifier": "A43", "position": [9, 2], "step": 7, "ordinal_position": 8}, {"identifier": "A22", "position": [9, 3], "step": 8, "ordinal_position": 9}, {"identifier": "I26", "position": [10, 3], "step": 9, "ordinal_position": 10}, {"identifier": "P91", "position": [11, 3], "step": 10, "ordinal_position": 11}, {"identifier": "E74", "position": [12, 3], "step": 11, "ordinal_position": 12}, {"identifier": "G63", "position": [13, 3], "step": 12, "ordinal_position": 13}, {"identifier": "E53", "position": [14, 3], "step": 13, "ordinal_position": 14}, {"identifier": "E84", "position": [15, 3], "step": 14, "ordinal_position": 15}, {"identifier": "T31", "position": [15, 4], "step": 15, "ordinal_position": 16}, {"identifier": "D23", "position": [15, 5], "step": 16, "ordinal_position": 17}, {"identifier": "I81", "position": [15, 6], "step": 17, "ordinal_position": 18}, {"identifier": "X50", "position": [15, 7], "step": 18, "ordinal_position": 19}, {"identifier": "M90", "position": [15, 8], "step": 19, "ordinal_position": 20}, {"identifier": "V46", "position": [15, 9], "step": 20, "ordinal_position": 21}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 21, "direction": "left", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_004.json"}} {"qa_id": "bca45d7b03e54254b602d9328917c357", "image_id": "L3-MazeLoop-test_21x21_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C74, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 13th position in this traversal?", "start_object_id": "C74", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [13], "ordinal_strings": ["13th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "S10", "traversal_path": [{"identifier": "C74", "position": [14, 9], "step": 0, "ordinal_position": 1}, {"identifier": "W32", "position": [13, 9], "step": 1, "ordinal_position": 2}, {"identifier": "X03", "position": [12, 9], "step": 2, "ordinal_position": 3}, {"identifier": "H47", "position": [11, 9], "step": 3, "ordinal_position": 4}, {"identifier": "R30", "position": [10, 9], "step": 4, "ordinal_position": 5}, {"identifier": "S19", "position": [9, 9], "step": 5, "ordinal_position": 6}, {"identifier": "M16", "position": [9, 10], "step": 6, "ordinal_position": 7}, {"identifier": "F22", "position": [9, 11], "step": 7, "ordinal_position": 8}, {"identifier": "F89", "position": [10, 11], "step": 8, "ordinal_position": 9}, {"identifier": "E62", "position": [11, 11], "step": 9, "ordinal_position": 10}, {"identifier": "V32", "position": [11, 12], "step": 10, "ordinal_position": 11}, {"identifier": "I65", "position": [11, 13], "step": 11, "ordinal_position": 12}, {"identifier": "S10", "position": [12, 13], "step": 12, "ordinal_position": 13}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 13, "direction": "left", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_004.json"}} {"qa_id": "a5642a4fb0ce4315bbb046e034f49efe", "image_id": "L3-MazeLoop-test_21x21_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N54, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "N54", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "G63", "traversal_path": [{"identifier": "N54", "position": [10, 5], "step": 0, "ordinal_position": 1}, {"identifier": "Q63", "position": [11, 5], "step": 1, "ordinal_position": 2}, {"identifier": "Q53", "position": [12, 5], "step": 2, "ordinal_position": 3}, {"identifier": "W00", "position": [13, 5], "step": 3, "ordinal_position": 4}, {"identifier": "D14", "position": [13, 4], "step": 4, "ordinal_position": 5}, {"identifier": "G63", "position": [13, 3], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 6, "direction": "right", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_004.json"}} {"qa_id": "7ed0b30b34804d8aabc501cf95ad55ca", "image_id": "L3-MazeLoop-test_21x21_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C74, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "C74", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "T31", "traversal_path": [{"identifier": "C74", "position": [14, 9], "step": 0, "ordinal_position": 1}, {"identifier": "V46", "position": [15, 9], "step": 1, "ordinal_position": 2}, {"identifier": "M90", "position": [15, 8], "step": 2, "ordinal_position": 3}, {"identifier": "X50", "position": [15, 7], "step": 3, "ordinal_position": 4}, {"identifier": "I81", "position": [15, 6], "step": 4, "ordinal_position": 5}, {"identifier": "D23", "position": [15, 5], "step": 5, "ordinal_position": 6}, {"identifier": "T31", "position": [15, 4], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 7, "direction": "right", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_004.json"}} {"qa_id": "0b9585d8ee604a3ab966d5dc864943b6", "image_id": "L3-MazeLoop-test_21x21_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D15, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 18th position in this traversal?", "start_object_id": "D15", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [18], "ordinal_strings": ["18th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Y91", "traversal_path": [{"identifier": "D15", "position": [2, 1], "step": 0, "ordinal_position": 1}, {"identifier": "M13", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "M82", "position": [1, 2], "step": 2, "ordinal_position": 3}, {"identifier": "L62", "position": [1, 3], "step": 3, "ordinal_position": 4}, {"identifier": "X44", "position": [1, 4], "step": 4, "ordinal_position": 5}, {"identifier": "A94", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "B40", "position": [1, 6], "step": 6, "ordinal_position": 7}, {"identifier": "Y53", "position": [1, 7], "step": 7, "ordinal_position": 8}, {"identifier": "F68", "position": [1, 8], "step": 8, "ordinal_position": 9}, {"identifier": "Z10", "position": [1, 9], "step": 9, "ordinal_position": 10}, {"identifier": "U73", "position": [1, 10], "step": 10, "ordinal_position": 11}, {"identifier": "V55", "position": [1, 11], "step": 11, "ordinal_position": 12}, {"identifier": "O85", "position": [1, 12], "step": 12, "ordinal_position": 13}, {"identifier": "H83", "position": [1, 13], "step": 13, "ordinal_position": 14}, {"identifier": "U24", "position": [2, 13], "step": 14, "ordinal_position": 15}, {"identifier": "A82", "position": [3, 13], "step": 15, "ordinal_position": 16}, {"identifier": "X59", "position": [4, 13], "step": 16, "ordinal_position": 17}, {"identifier": "Y91", "position": [5, 13], "step": 17, "ordinal_position": 18}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 18, "direction": "left", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_004.json"}} {"qa_id": "0c57816694db40f1928d60696736b472", "image_id": "L3-MazeLoop-test_21x21_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C16, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 85th position in this traversal?", "start_object_id": "C16", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [85], "ordinal_strings": ["85th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "R03", "traversal_path": [{"identifier": "C16", "position": [6, 9], "step": 0, "ordinal_position": 1}, {"identifier": "M68", "position": [7, 9], "step": 1, "ordinal_position": 2}, {"identifier": "Y35", "position": [7, 10], "step": 2, "ordinal_position": 3}, {"identifier": "Q17", "position": [7, 11], "step": 3, "ordinal_position": 4}, {"identifier": "W28", "position": [6, 11], "step": 4, "ordinal_position": 5}, {"identifier": "A06", "position": [5, 11], "step": 5, "ordinal_position": 6}, {"identifier": "Z48", "position": [4, 11], "step": 6, "ordinal_position": 7}, {"identifier": "G42", "position": [3, 11], "step": 7, "ordinal_position": 8}, {"identifier": "L68", "position": [2, 11], "step": 8, "ordinal_position": 9}, {"identifier": "V55", "position": [1, 11], "step": 9, "ordinal_position": 10}, {"identifier": "O85", "position": [1, 12], "step": 10, "ordinal_position": 11}, {"identifier": "H83", "position": [1, 13], "step": 11, "ordinal_position": 12}, {"identifier": "U24", "position": [2, 13], "step": 12, "ordinal_position": 13}, {"identifier": "A82", "position": [3, 13], "step": 13, "ordinal_position": 14}, {"identifier": "X59", "position": [4, 13], "step": 14, "ordinal_position": 15}, {"identifier": "Y91", "position": [5, 13], "step": 15, "ordinal_position": 16}, {"identifier": "P61", "position": [5, 14], "step": 16, "ordinal_position": 17}, {"identifier": "W55", "position": [5, 15], "step": 17, "ordinal_position": 18}, {"identifier": "W25", "position": [4, 15], "step": 18, "ordinal_position": 19}, {"identifier": "I63", "position": [3, 15], "step": 19, "ordinal_position": 20}, {"identifier": "K05", "position": [2, 15], "step": 20, "ordinal_position": 21}, {"identifier": "J38", "position": [1, 15], "step": 21, "ordinal_position": 22}, {"identifier": "Z30", "position": [1, 16], "step": 22, "ordinal_position": 23}, {"identifier": "B08", "position": [1, 17], "step": 23, "ordinal_position": 24}, {"identifier": "K29", "position": [1, 18], "step": 24, "ordinal_position": 25}, {"identifier": "D16", "position": [1, 19], "step": 25, "ordinal_position": 26}, {"identifier": "E68", "position": [2, 19], "step": 26, "ordinal_position": 27}, {"identifier": "Q38", "position": [3, 19], "step": 27, "ordinal_position": 28}, {"identifier": "G91", "position": [4, 19], "step": 28, "ordinal_position": 29}, {"identifier": "V69", "position": [5, 19], "step": 29, "ordinal_position": 30}, {"identifier": "U28", "position": [6, 19], "step": 30, "ordinal_position": 31}, {"identifier": "H35", "position": [7, 19], "step": 31, "ordinal_position": 32}, {"identifier": "O20", "position": [8, 19], "step": 32, "ordinal_position": 33}, {"identifier": "H22", "position": [9, 19], "step": 33, "ordinal_position": 34}, {"identifier": "M51", "position": [10, 19], "step": 34, "ordinal_position": 35}, {"identifier": "V62", "position": [11, 19], "step": 35, "ordinal_position": 36}, {"identifier": "P99", "position": [12, 19], "step": 36, "ordinal_position": 37}, {"identifier": "T30", "position": [13, 19], "step": 37, "ordinal_position": 38}, {"identifier": "A13", "position": [14, 19], "step": 38, "ordinal_position": 39}, {"identifier": "Z37", "position": [15, 19], "step": 39, "ordinal_position": 40}, {"identifier": "L03", "position": [15, 18], "step": 40, "ordinal_position": 41}, {"identifier": "I08", "position": [15, 17], "step": 41, "ordinal_position": 42}, {"identifier": "G66", "position": [15, 16], "step": 42, "ordinal_position": 43}, {"identifier": "X92", "position": [15, 15], "step": 43, "ordinal_position": 44}, {"identifier": "I41", "position": [16, 15], "step": 44, "ordinal_position": 45}, {"identifier": "N78", "position": [17, 15], "step": 45, "ordinal_position": 46}, {"identifier": "M77", "position": [17, 14], "step": 46, "ordinal_position": 47}, {"identifier": "M01", "position": [17, 13], "step": 47, "ordinal_position": 48}, {"identifier": "Q39", "position": [16, 13], "step": 48, "ordinal_position": 49}, {"identifier": "K59", "position": [15, 13], "step": 49, "ordinal_position": 50}, {"identifier": "D04", "position": [14, 13], "step": 50, "ordinal_position": 51}, {"identifier": "P05", "position": [13, 13], "step": 51, "ordinal_position": 52}, {"identifier": "S10", "position": [12, 13], "step": 52, "ordinal_position": 53}, {"identifier": "I65", "position": [11, 13], "step": 53, "ordinal_position": 54}, {"identifier": "V32", "position": [11, 12], "step": 54, "ordinal_position": 55}, {"identifier": "E62", "position": [11, 11], "step": 55, "ordinal_position": 56}, {"identifier": "F89", "position": [10, 11], "step": 56, "ordinal_position": 57}, {"identifier": "F22", "position": [9, 11], "step": 57, "ordinal_position": 58}, {"identifier": "M16", "position": [9, 10], "step": 58, "ordinal_position": 59}, {"identifier": "S19", "position": [9, 9], "step": 59, "ordinal_position": 60}, {"identifier": "R30", "position": [10, 9], "step": 60, "ordinal_position": 61}, {"identifier": "H47", "position": [11, 9], "step": 61, "ordinal_position": 62}, {"identifier": "X03", "position": [12, 9], "step": 62, "ordinal_position": 63}, {"identifier": "W32", "position": [13, 9], "step": 63, "ordinal_position": 64}, {"identifier": "C74", "position": [14, 9], "step": 64, "ordinal_position": 65}, {"identifier": "V46", "position": [15, 9], "step": 65, "ordinal_position": 66}, {"identifier": "M90", "position": [15, 8], "step": 66, "ordinal_position": 67}, {"identifier": "X50", "position": [15, 7], "step": 67, "ordinal_position": 68}, {"identifier": "I81", "position": [15, 6], "step": 68, "ordinal_position": 69}, {"identifier": "D23", "position": [15, 5], "step": 69, "ordinal_position": 70}, {"identifier": "T31", "position": [15, 4], "step": 70, "ordinal_position": 71}, {"identifier": "E84", "position": [15, 3], "step": 71, "ordinal_position": 72}, {"identifier": "E53", "position": [14, 3], "step": 72, "ordinal_position": 73}, {"identifier": "G63", "position": [13, 3], "step": 73, "ordinal_position": 74}, {"identifier": "E74", "position": [12, 3], "step": 74, "ordinal_position": 75}, {"identifier": "P91", "position": [11, 3], "step": 75, "ordinal_position": 76}, {"identifier": "I26", "position": [10, 3], "step": 76, "ordinal_position": 77}, {"identifier": "A22", "position": [9, 3], "step": 77, "ordinal_position": 78}, {"identifier": "T92", "position": [8, 3], "step": 78, "ordinal_position": 79}, {"identifier": "I95", "position": [7, 3], "step": 79, "ordinal_position": 80}, {"identifier": "O83", "position": [7, 2], "step": 80, "ordinal_position": 81}, {"identifier": "Q41", "position": [7, 1], "step": 81, "ordinal_position": 82}, {"identifier": "R20", "position": [6, 1], "step": 82, "ordinal_position": 83}, {"identifier": "G11", "position": [5, 1], "step": 83, "ordinal_position": 84}, {"identifier": "R03", "position": [5, 2], "step": 84, "ordinal_position": 85}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 85, "direction": "right", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_004.json"}} {"qa_id": "c8fe08fc8d5b45eab495680b93d39aeb", "image_id": "L3-MazeLoop-test_21x21_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q04, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 34th position in this traversal?", "start_object_id": "Q04", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [34], "ordinal_strings": ["34th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "B40", "traversal_path": [{"identifier": "Q04", "position": [7, 13], "step": 0, "ordinal_position": 1}, {"identifier": "Y45", "position": [7, 14], "step": 1, "ordinal_position": 2}, {"identifier": "X27", "position": [7, 15], "step": 2, "ordinal_position": 3}, {"identifier": "R61", "position": [7, 16], "step": 3, "ordinal_position": 4}, {"identifier": "N50", "position": [7, 17], "step": 4, "ordinal_position": 5}, {"identifier": "P60", "position": [6, 17], "step": 5, "ordinal_position": 6}, {"identifier": "T60", "position": [5, 17], "step": 6, "ordinal_position": 7}, {"identifier": "C47", "position": [5, 18], "step": 7, "ordinal_position": 8}, {"identifier": "V69", "position": [5, 19], "step": 8, "ordinal_position": 9}, {"identifier": "G91", "position": [4, 19], "step": 9, "ordinal_position": 10}, {"identifier": "Q38", "position": [3, 19], "step": 10, "ordinal_position": 11}, {"identifier": "E68", "position": [2, 19], "step": 11, "ordinal_position": 12}, {"identifier": "D16", "position": [1, 19], "step": 12, "ordinal_position": 13}, {"identifier": "K29", "position": [1, 18], "step": 13, "ordinal_position": 14}, {"identifier": "B08", "position": [1, 17], "step": 14, "ordinal_position": 15}, {"identifier": "Z30", "position": [1, 16], "step": 15, "ordinal_position": 16}, {"identifier": "J38", "position": [1, 15], "step": 16, "ordinal_position": 17}, {"identifier": "K05", "position": [2, 15], "step": 17, "ordinal_position": 18}, {"identifier": "I63", "position": [3, 15], "step": 18, "ordinal_position": 19}, {"identifier": "W25", "position": [4, 15], "step": 19, "ordinal_position": 20}, {"identifier": "W55", "position": [5, 15], "step": 20, "ordinal_position": 21}, {"identifier": "P61", "position": [5, 14], "step": 21, "ordinal_position": 22}, {"identifier": "Y91", "position": [5, 13], "step": 22, "ordinal_position": 23}, {"identifier": "X59", "position": [4, 13], "step": 23, "ordinal_position": 24}, {"identifier": "A82", "position": [3, 13], "step": 24, "ordinal_position": 25}, {"identifier": "U24", "position": [2, 13], "step": 25, "ordinal_position": 26}, {"identifier": "H83", "position": [1, 13], "step": 26, "ordinal_position": 27}, {"identifier": "O85", "position": [1, 12], "step": 27, "ordinal_position": 28}, {"identifier": "V55", "position": [1, 11], "step": 28, "ordinal_position": 29}, {"identifier": "U73", "position": [1, 10], "step": 29, "ordinal_position": 30}, {"identifier": "Z10", "position": [1, 9], "step": 30, "ordinal_position": 31}, {"identifier": "F68", "position": [1, 8], "step": 31, "ordinal_position": 32}, {"identifier": "Y53", "position": [1, 7], "step": 32, "ordinal_position": 33}, {"identifier": "B40", "position": [1, 6], "step": 33, "ordinal_position": 34}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 34, "direction": "down", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_004.json"}} {"qa_id": "67a8399acaf34eb19ec125fe71072829", "image_id": "L3-MazeLoop-test_21x21_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W97, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 37th position in this traversal?", "start_object_id": "W97", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [37], "ordinal_strings": ["37th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M16", "traversal_path": [{"identifier": "W97", "position": [10, 15], "step": 0, "ordinal_position": 1}, {"identifier": "O98", "position": [11, 15], "step": 1, "ordinal_position": 2}, {"identifier": "C18", "position": [12, 15], "step": 2, "ordinal_position": 3}, {"identifier": "E95", "position": [13, 15], "step": 3, "ordinal_position": 4}, {"identifier": "Y98", "position": [13, 16], "step": 4, "ordinal_position": 5}, {"identifier": "A19", "position": [13, 17], "step": 5, "ordinal_position": 6}, {"identifier": "O35", "position": [12, 17], "step": 6, "ordinal_position": 7}, {"identifier": "D82", "position": [11, 17], "step": 7, "ordinal_position": 8}, {"identifier": "D48", "position": [10, 17], "step": 8, "ordinal_position": 9}, {"identifier": "Z66", "position": [9, 17], "step": 9, "ordinal_position": 10}, {"identifier": "K52", "position": [9, 18], "step": 10, "ordinal_position": 11}, {"identifier": "H22", "position": [9, 19], "step": 11, "ordinal_position": 12}, {"identifier": "M51", "position": [10, 19], "step": 12, "ordinal_position": 13}, {"identifier": "V62", "position": [11, 19], "step": 13, "ordinal_position": 14}, {"identifier": "P99", "position": [12, 19], "step": 14, "ordinal_position": 15}, {"identifier": "T30", "position": [13, 19], "step": 15, "ordinal_position": 16}, {"identifier": "A13", "position": [14, 19], "step": 16, "ordinal_position": 17}, {"identifier": "Z37", "position": [15, 19], "step": 17, "ordinal_position": 18}, {"identifier": "L03", "position": [15, 18], "step": 18, "ordinal_position": 19}, {"identifier": "I08", "position": [15, 17], "step": 19, "ordinal_position": 20}, {"identifier": "G66", "position": [15, 16], "step": 20, "ordinal_position": 21}, {"identifier": "X92", "position": [15, 15], "step": 21, "ordinal_position": 22}, {"identifier": "I41", "position": [16, 15], "step": 22, "ordinal_position": 23}, {"identifier": "N78", "position": [17, 15], "step": 23, "ordinal_position": 24}, {"identifier": "M77", "position": [17, 14], "step": 24, "ordinal_position": 25}, {"identifier": "M01", "position": [17, 13], "step": 25, "ordinal_position": 26}, {"identifier": "Q39", "position": [16, 13], "step": 26, "ordinal_position": 27}, {"identifier": "K59", "position": [15, 13], "step": 27, "ordinal_position": 28}, {"identifier": "D04", "position": [14, 13], "step": 28, "ordinal_position": 29}, {"identifier": "P05", "position": [13, 13], "step": 29, "ordinal_position": 30}, {"identifier": "S10", "position": [12, 13], "step": 30, "ordinal_position": 31}, {"identifier": "I65", "position": [11, 13], "step": 31, "ordinal_position": 32}, {"identifier": "V32", "position": [11, 12], "step": 32, "ordinal_position": 33}, {"identifier": "E62", "position": [11, 11], "step": 33, "ordinal_position": 34}, {"identifier": "F89", "position": [10, 11], "step": 34, "ordinal_position": 35}, {"identifier": "F22", "position": [9, 11], "step": 35, "ordinal_position": 36}, {"identifier": "M16", "position": [9, 10], "step": 36, "ordinal_position": 37}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 37, "direction": "right", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_004.json"}} {"qa_id": "042c7153d9cc464b950be0a822d38ba4", "image_id": "L3-MazeLoop-test_21x21_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V46, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 84th position in this traversal?", "start_object_id": "V46", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [84], "ordinal_strings": ["84th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "R30", "traversal_path": [{"identifier": "V46", "position": [15, 9], "step": 0, "ordinal_position": 1}, {"identifier": "M90", "position": [15, 8], "step": 1, "ordinal_position": 2}, {"identifier": "X50", "position": [15, 7], "step": 2, "ordinal_position": 3}, {"identifier": "I81", "position": [15, 6], "step": 3, "ordinal_position": 4}, {"identifier": "D23", "position": [15, 5], "step": 4, "ordinal_position": 5}, {"identifier": "T31", "position": [15, 4], "step": 5, "ordinal_position": 6}, {"identifier": "E84", "position": [15, 3], "step": 6, "ordinal_position": 7}, {"identifier": "E53", "position": [14, 3], "step": 7, "ordinal_position": 8}, {"identifier": "G63", "position": [13, 3], "step": 8, "ordinal_position": 9}, {"identifier": "E74", "position": [12, 3], "step": 9, "ordinal_position": 10}, {"identifier": "P91", "position": [11, 3], "step": 10, "ordinal_position": 11}, {"identifier": "I26", "position": [10, 3], "step": 11, "ordinal_position": 12}, {"identifier": "A22", "position": [9, 3], "step": 12, "ordinal_position": 13}, {"identifier": "T92", "position": [8, 3], "step": 13, "ordinal_position": 14}, {"identifier": "I95", "position": [7, 3], "step": 14, "ordinal_position": 15}, {"identifier": "O83", "position": [7, 2], "step": 15, "ordinal_position": 16}, {"identifier": "Q41", "position": [7, 1], "step": 16, "ordinal_position": 17}, {"identifier": "R20", "position": [6, 1], "step": 17, "ordinal_position": 18}, {"identifier": "G11", "position": [5, 1], "step": 18, "ordinal_position": 19}, {"identifier": "R03", "position": [5, 2], "step": 19, "ordinal_position": 20}, {"identifier": "J72", "position": [5, 3], "step": 20, "ordinal_position": 21}, {"identifier": "Y80", "position": [5, 4], "step": 21, "ordinal_position": 22}, {"identifier": "E78", "position": [5, 5], "step": 22, "ordinal_position": 23}, {"identifier": "M74", "position": [4, 5], "step": 23, "ordinal_position": 24}, {"identifier": "Y96", "position": [3, 5], "step": 24, "ordinal_position": 25}, {"identifier": "D06", "position": [2, 5], "step": 25, "ordinal_position": 26}, {"identifier": "A94", "position": [1, 5], "step": 26, "ordinal_position": 27}, {"identifier": "B40", "position": [1, 6], "step": 27, "ordinal_position": 28}, {"identifier": "Y53", "position": [1, 7], "step": 28, "ordinal_position": 29}, {"identifier": "F68", "position": [1, 8], "step": 29, "ordinal_position": 30}, {"identifier": "Z10", "position": [1, 9], "step": 30, "ordinal_position": 31}, {"identifier": "U73", "position": [1, 10], "step": 31, "ordinal_position": 32}, {"identifier": "V55", "position": [1, 11], "step": 32, "ordinal_position": 33}, {"identifier": "O85", "position": [1, 12], "step": 33, "ordinal_position": 34}, {"identifier": "H83", "position": [1, 13], "step": 34, "ordinal_position": 35}, {"identifier": "U24", "position": [2, 13], "step": 35, "ordinal_position": 36}, {"identifier": "A82", "position": [3, 13], "step": 36, "ordinal_position": 37}, {"identifier": "X59", "position": [4, 13], "step": 37, "ordinal_position": 38}, {"identifier": "Y91", "position": [5, 13], "step": 38, "ordinal_position": 39}, {"identifier": "P61", "position": [5, 14], "step": 39, "ordinal_position": 40}, {"identifier": "W55", "position": [5, 15], "step": 40, "ordinal_position": 41}, {"identifier": "W25", "position": [4, 15], "step": 41, "ordinal_position": 42}, {"identifier": "I63", "position": [3, 15], "step": 42, "ordinal_position": 43}, {"identifier": "K05", "position": [2, 15], "step": 43, "ordinal_position": 44}, {"identifier": "J38", "position": [1, 15], "step": 44, "ordinal_position": 45}, {"identifier": "Z30", "position": [1, 16], "step": 45, "ordinal_position": 46}, {"identifier": "B08", "position": [1, 17], "step": 46, "ordinal_position": 47}, {"identifier": "K29", "position": [1, 18], "step": 47, "ordinal_position": 48}, {"identifier": "D16", "position": [1, 19], "step": 48, "ordinal_position": 49}, {"identifier": "E68", "position": [2, 19], "step": 49, "ordinal_position": 50}, {"identifier": "Q38", "position": [3, 19], "step": 50, "ordinal_position": 51}, {"identifier": "G91", "position": [4, 19], "step": 51, "ordinal_position": 52}, {"identifier": "V69", "position": [5, 19], "step": 52, "ordinal_position": 53}, {"identifier": "U28", "position": [6, 19], "step": 53, "ordinal_position": 54}, {"identifier": "H35", "position": [7, 19], "step": 54, "ordinal_position": 55}, {"identifier": "O20", "position": [8, 19], "step": 55, "ordinal_position": 56}, {"identifier": "H22", "position": [9, 19], "step": 56, "ordinal_position": 57}, {"identifier": "M51", "position": [10, 19], "step": 57, "ordinal_position": 58}, {"identifier": "V62", "position": [11, 19], "step": 58, "ordinal_position": 59}, {"identifier": "P99", "position": [12, 19], "step": 59, "ordinal_position": 60}, {"identifier": "T30", "position": [13, 19], "step": 60, "ordinal_position": 61}, {"identifier": "A13", "position": [14, 19], "step": 61, "ordinal_position": 62}, {"identifier": "Z37", "position": [15, 19], "step": 62, "ordinal_position": 63}, {"identifier": "L03", "position": [15, 18], "step": 63, "ordinal_position": 64}, {"identifier": "I08", "position": [15, 17], "step": 64, "ordinal_position": 65}, {"identifier": "G66", "position": [15, 16], "step": 65, "ordinal_position": 66}, {"identifier": "X92", "position": [15, 15], "step": 66, "ordinal_position": 67}, {"identifier": "I41", "position": [16, 15], "step": 67, "ordinal_position": 68}, {"identifier": "N78", "position": [17, 15], "step": 68, "ordinal_position": 69}, {"identifier": "M77", "position": [17, 14], "step": 69, "ordinal_position": 70}, {"identifier": "M01", "position": [17, 13], "step": 70, "ordinal_position": 71}, {"identifier": "Q39", "position": [16, 13], "step": 71, "ordinal_position": 72}, {"identifier": "K59", "position": [15, 13], "step": 72, "ordinal_position": 73}, {"identifier": "D04", "position": [14, 13], "step": 73, "ordinal_position": 74}, {"identifier": "P05", "position": [13, 13], "step": 74, "ordinal_position": 75}, {"identifier": "S10", "position": [12, 13], "step": 75, "ordinal_position": 76}, {"identifier": "I65", "position": [11, 13], "step": 76, "ordinal_position": 77}, {"identifier": "V32", "position": [11, 12], "step": 77, "ordinal_position": 78}, {"identifier": "E62", "position": [11, 11], "step": 78, "ordinal_position": 79}, {"identifier": "F89", "position": [10, 11], "step": 79, "ordinal_position": 80}, {"identifier": "F22", "position": [9, 11], "step": 80, "ordinal_position": 81}, {"identifier": "M16", "position": [9, 10], "step": 81, "ordinal_position": 82}, {"identifier": "S19", "position": [9, 9], "step": 82, "ordinal_position": 83}, {"identifier": "R30", "position": [10, 9], "step": 83, "ordinal_position": 84}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 84, "direction": "up", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_004.json"}} {"qa_id": "69dd2ca345dd4e098a9deb8b13c0340b", "image_id": "L3-MazeLoop-test_21x21_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H47, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 31st position in this traversal?", "start_object_id": "H47", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [31], "ordinal_strings": ["31st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "A94", "traversal_path": [{"identifier": "H47", "position": [11, 9], "step": 0, "ordinal_position": 1}, {"identifier": "X03", "position": [12, 9], "step": 1, "ordinal_position": 2}, {"identifier": "W32", "position": [13, 9], "step": 2, "ordinal_position": 3}, {"identifier": "C74", "position": [14, 9], "step": 3, "ordinal_position": 4}, {"identifier": "V46", "position": [15, 9], "step": 4, "ordinal_position": 5}, {"identifier": "M90", "position": [15, 8], "step": 5, "ordinal_position": 6}, {"identifier": "X50", "position": [15, 7], "step": 6, "ordinal_position": 7}, {"identifier": "I81", "position": [15, 6], "step": 7, "ordinal_position": 8}, {"identifier": "D23", "position": [15, 5], "step": 8, "ordinal_position": 9}, {"identifier": "T31", "position": [15, 4], "step": 9, "ordinal_position": 10}, {"identifier": "E84", "position": [15, 3], "step": 10, "ordinal_position": 11}, {"identifier": "E53", "position": [14, 3], "step": 11, "ordinal_position": 12}, {"identifier": "G63", "position": [13, 3], "step": 12, "ordinal_position": 13}, {"identifier": "E74", "position": [12, 3], "step": 13, "ordinal_position": 14}, {"identifier": "P91", "position": [11, 3], "step": 14, "ordinal_position": 15}, {"identifier": "I26", "position": [10, 3], "step": 15, "ordinal_position": 16}, {"identifier": "A22", "position": [9, 3], "step": 16, "ordinal_position": 17}, {"identifier": "T92", "position": [8, 3], "step": 17, "ordinal_position": 18}, {"identifier": "I95", "position": [7, 3], "step": 18, "ordinal_position": 19}, {"identifier": "O83", "position": [7, 2], "step": 19, "ordinal_position": 20}, {"identifier": "Q41", "position": [7, 1], "step": 20, "ordinal_position": 21}, {"identifier": "R20", "position": [6, 1], "step": 21, "ordinal_position": 22}, {"identifier": "G11", "position": [5, 1], "step": 22, "ordinal_position": 23}, {"identifier": "R03", "position": [5, 2], "step": 23, "ordinal_position": 24}, {"identifier": "J72", "position": [5, 3], "step": 24, "ordinal_position": 25}, {"identifier": "Y80", "position": [5, 4], "step": 25, "ordinal_position": 26}, {"identifier": "E78", "position": [5, 5], "step": 26, "ordinal_position": 27}, {"identifier": "M74", "position": [4, 5], "step": 27, "ordinal_position": 28}, {"identifier": "Y96", "position": [3, 5], "step": 28, "ordinal_position": 29}, {"identifier": "D06", "position": [2, 5], "step": 29, "ordinal_position": 30}, {"identifier": "A94", "position": [1, 5], "step": 30, "ordinal_position": 31}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 31, "direction": "right", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_004.json"}} {"qa_id": "345d2656463e4c24a0319243c5b72d30", "image_id": "L3-MazeLoop-test_21x21_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T60, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 129th position in this traversal?", "start_object_id": "T60", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [129], "ordinal_strings": ["129th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "P05", "traversal_path": [{"identifier": "T60", "position": [5, 17], "step": 0, "ordinal_position": 1}, {"identifier": "P60", "position": [6, 17], "step": 1, "ordinal_position": 2}, {"identifier": "N50", "position": [7, 17], "step": 2, "ordinal_position": 3}, {"identifier": "R61", "position": [7, 16], "step": 3, "ordinal_position": 4}, {"identifier": "X27", "position": [7, 15], "step": 4, "ordinal_position": 5}, {"identifier": "Y45", "position": [7, 14], "step": 5, "ordinal_position": 6}, {"identifier": "Q04", "position": [7, 13], "step": 6, "ordinal_position": 7}, {"identifier": "J43", "position": [8, 13], "step": 7, "ordinal_position": 8}, {"identifier": "J57", "position": [9, 13], "step": 8, "ordinal_position": 9}, {"identifier": "Z42", "position": [9, 14], "step": 9, "ordinal_position": 10}, {"identifier": "E03", "position": [9, 15], "step": 10, "ordinal_position": 11}, {"identifier": "W97", "position": [10, 15], "step": 11, "ordinal_position": 12}, {"identifier": "O98", "position": [11, 15], "step": 12, "ordinal_position": 13}, {"identifier": "C18", "position": [12, 15], "step": 13, "ordinal_position": 14}, {"identifier": "E95", "position": [13, 15], "step": 14, "ordinal_position": 15}, {"identifier": "Y98", "position": [13, 16], "step": 15, "ordinal_position": 16}, {"identifier": "A19", "position": [13, 17], "step": 16, "ordinal_position": 17}, {"identifier": "O35", "position": [12, 17], "step": 17, "ordinal_position": 18}, {"identifier": "D82", "position": [11, 17], "step": 18, "ordinal_position": 19}, {"identifier": "D48", "position": [10, 17], "step": 19, "ordinal_position": 20}, {"identifier": "Z66", "position": [9, 17], "step": 20, "ordinal_position": 21}, {"identifier": "K52", "position": [9, 18], "step": 21, "ordinal_position": 22}, {"identifier": "H22", "position": [9, 19], "step": 22, "ordinal_position": 23}, {"identifier": "M51", "position": [10, 19], "step": 23, "ordinal_position": 24}, {"identifier": "V62", "position": [11, 19], "step": 24, "ordinal_position": 25}, {"identifier": "P99", "position": [12, 19], "step": 25, "ordinal_position": 26}, {"identifier": "T30", "position": [13, 19], "step": 26, "ordinal_position": 27}, {"identifier": "A13", "position": [14, 19], "step": 27, "ordinal_position": 28}, {"identifier": "Z37", "position": [15, 19], "step": 28, "ordinal_position": 29}, {"identifier": "L03", "position": [15, 18], "step": 29, "ordinal_position": 30}, {"identifier": "I08", "position": [15, 17], "step": 30, "ordinal_position": 31}, {"identifier": "G66", "position": [15, 16], "step": 31, "ordinal_position": 32}, {"identifier": "X92", "position": [15, 15], "step": 32, "ordinal_position": 33}, {"identifier": "I41", "position": [16, 15], "step": 33, "ordinal_position": 34}, {"identifier": "N78", "position": [17, 15], "step": 34, "ordinal_position": 35}, {"identifier": "M77", "position": [17, 14], "step": 35, "ordinal_position": 36}, {"identifier": "M01", "position": [17, 13], "step": 36, "ordinal_position": 37}, {"identifier": "Q39", "position": [16, 13], "step": 37, "ordinal_position": 38}, {"identifier": "K59", "position": [15, 13], "step": 38, "ordinal_position": 39}, {"identifier": "D04", "position": [14, 13], "step": 39, "ordinal_position": 40}, {"identifier": "P05", "position": [13, 13], "step": 40, "ordinal_position": 41}, {"identifier": "S10", "position": [12, 13], "step": 41, "ordinal_position": 42}, {"identifier": "I65", "position": [11, 13], "step": 42, "ordinal_position": 43}, {"identifier": "V32", "position": [11, 12], "step": 43, "ordinal_position": 44}, {"identifier": "E62", "position": [11, 11], "step": 44, "ordinal_position": 45}, {"identifier": "F89", "position": [10, 11], "step": 45, "ordinal_position": 46}, {"identifier": "F22", "position": [9, 11], "step": 46, "ordinal_position": 47}, {"identifier": "M16", "position": [9, 10], "step": 47, "ordinal_position": 48}, {"identifier": "S19", "position": [9, 9], "step": 48, "ordinal_position": 49}, {"identifier": "R30", "position": [10, 9], "step": 49, "ordinal_position": 50}, {"identifier": "H47", "position": [11, 9], "step": 50, "ordinal_position": 51}, {"identifier": "X03", "position": [12, 9], "step": 51, "ordinal_position": 52}, {"identifier": "W32", "position": [13, 9], "step": 52, "ordinal_position": 53}, {"identifier": "C74", "position": [14, 9], "step": 53, "ordinal_position": 54}, {"identifier": "V46", "position": [15, 9], "step": 54, "ordinal_position": 55}, {"identifier": "M90", "position": [15, 8], "step": 55, "ordinal_position": 56}, {"identifier": "X50", "position": [15, 7], "step": 56, "ordinal_position": 57}, {"identifier": "I81", "position": [15, 6], "step": 57, "ordinal_position": 58}, {"identifier": "D23", "position": [15, 5], "step": 58, "ordinal_position": 59}, {"identifier": "T31", "position": [15, 4], "step": 59, "ordinal_position": 60}, {"identifier": "E84", "position": [15, 3], "step": 60, "ordinal_position": 61}, {"identifier": "E53", "position": [14, 3], "step": 61, "ordinal_position": 62}, {"identifier": "G63", "position": [13, 3], "step": 62, "ordinal_position": 63}, {"identifier": "E74", "position": [12, 3], "step": 63, "ordinal_position": 64}, {"identifier": "P91", "position": [11, 3], "step": 64, "ordinal_position": 65}, {"identifier": "I26", "position": [10, 3], "step": 65, "ordinal_position": 66}, {"identifier": "A22", "position": [9, 3], "step": 66, "ordinal_position": 67}, {"identifier": "T92", "position": [8, 3], "step": 67, "ordinal_position": 68}, {"identifier": "I95", "position": [7, 3], "step": 68, "ordinal_position": 69}, {"identifier": "O83", "position": [7, 2], "step": 69, "ordinal_position": 70}, {"identifier": "Q41", "position": [7, 1], "step": 70, "ordinal_position": 71}, {"identifier": "R20", "position": [6, 1], "step": 71, "ordinal_position": 72}, {"identifier": "G11", "position": [5, 1], "step": 72, "ordinal_position": 73}, {"identifier": "R03", "position": [5, 2], "step": 73, "ordinal_position": 74}, {"identifier": "J72", "position": [5, 3], "step": 74, "ordinal_position": 75}, {"identifier": "Y80", "position": [5, 4], "step": 75, "ordinal_position": 76}, {"identifier": "E78", "position": [5, 5], "step": 76, "ordinal_position": 77}, {"identifier": "M74", "position": [4, 5], "step": 77, "ordinal_position": 78}, {"identifier": "Y96", "position": [3, 5], "step": 78, "ordinal_position": 79}, {"identifier": "D06", "position": [2, 5], "step": 79, "ordinal_position": 80}, {"identifier": "A94", "position": [1, 5], "step": 80, "ordinal_position": 81}, {"identifier": "B40", "position": [1, 6], "step": 81, "ordinal_position": 82}, {"identifier": "Y53", "position": [1, 7], "step": 82, "ordinal_position": 83}, {"identifier": "F68", "position": [1, 8], "step": 83, "ordinal_position": 84}, {"identifier": "Z10", "position": [1, 9], "step": 84, "ordinal_position": 85}, {"identifier": "U73", "position": [1, 10], "step": 85, "ordinal_position": 86}, {"identifier": "V55", "position": [1, 11], "step": 86, "ordinal_position": 87}, {"identifier": "O85", "position": [1, 12], "step": 87, "ordinal_position": 88}, {"identifier": "H83", "position": [1, 13], "step": 88, "ordinal_position": 89}, {"identifier": "U24", "position": [2, 13], "step": 89, "ordinal_position": 90}, {"identifier": "A82", "position": [3, 13], "step": 90, "ordinal_position": 91}, {"identifier": "X59", "position": [4, 13], "step": 91, "ordinal_position": 92}, {"identifier": "Y91", "position": [5, 13], "step": 92, "ordinal_position": 93}, {"identifier": "P61", "position": [5, 14], "step": 93, "ordinal_position": 94}, {"identifier": "W55", "position": [5, 15], "step": 94, "ordinal_position": 95}, {"identifier": "W25", "position": [4, 15], "step": 95, "ordinal_position": 96}, {"identifier": "I63", "position": [3, 15], "step": 96, "ordinal_position": 97}, {"identifier": "K05", "position": [2, 15], "step": 97, "ordinal_position": 98}, {"identifier": "J38", "position": [1, 15], "step": 98, "ordinal_position": 99}, {"identifier": "Z30", "position": [1, 16], "step": 99, "ordinal_position": 100}, {"identifier": "B08", "position": [1, 17], "step": 100, "ordinal_position": 101}, {"identifier": "K29", "position": [1, 18], "step": 101, "ordinal_position": 102}, {"identifier": "D16", "position": [1, 19], "step": 102, "ordinal_position": 103}, {"identifier": "E68", "position": [2, 19], "step": 103, "ordinal_position": 104}, {"identifier": "Q38", "position": [3, 19], "step": 104, "ordinal_position": 105}, {"identifier": "G91", "position": [4, 19], "step": 105, "ordinal_position": 106}, {"identifier": "V69", "position": [5, 19], "step": 106, "ordinal_position": 107}, {"identifier": "U28", "position": [6, 19], "step": 107, "ordinal_position": 108}, {"identifier": "H35", "position": [7, 19], "step": 108, "ordinal_position": 109}, {"identifier": "O20", "position": [8, 19], "step": 109, "ordinal_position": 110}, {"identifier": "H22", "position": [9, 19], "step": 110, "ordinal_position": 111}, {"identifier": "M51", "position": [10, 19], "step": 111, "ordinal_position": 112}, {"identifier": "V62", "position": [11, 19], "step": 112, "ordinal_position": 113}, {"identifier": "P99", "position": [12, 19], "step": 113, "ordinal_position": 114}, {"identifier": "T30", "position": [13, 19], "step": 114, "ordinal_position": 115}, {"identifier": "A13", "position": [14, 19], "step": 115, "ordinal_position": 116}, {"identifier": "Z37", "position": [15, 19], "step": 116, "ordinal_position": 117}, {"identifier": "L03", "position": [15, 18], "step": 117, "ordinal_position": 118}, {"identifier": "I08", "position": [15, 17], "step": 118, "ordinal_position": 119}, {"identifier": "G66", "position": [15, 16], "step": 119, "ordinal_position": 120}, {"identifier": "X92", "position": [15, 15], "step": 120, "ordinal_position": 121}, {"identifier": "I41", "position": [16, 15], "step": 121, "ordinal_position": 122}, {"identifier": "N78", "position": [17, 15], "step": 122, "ordinal_position": 123}, {"identifier": "M77", "position": [17, 14], "step": 123, "ordinal_position": 124}, {"identifier": "M01", "position": [17, 13], "step": 124, "ordinal_position": 125}, {"identifier": "Q39", "position": [16, 13], "step": 125, "ordinal_position": 126}, {"identifier": "K59", "position": [15, 13], "step": 126, "ordinal_position": 127}, {"identifier": "D04", "position": [14, 13], "step": 127, "ordinal_position": 128}, {"identifier": "P05", "position": [13, 13], "step": 128, "ordinal_position": 129}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 129, "direction": "right", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_004.json"}} {"qa_id": "018a4c127d904364a3fcb1fd2d69f1ac", "image_id": "L3-MazeLoop-test_21x21_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B08, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 224th position in this traversal?", "start_object_id": "B08", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [224], "ordinal_strings": ["224th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M82", "traversal_path": [{"identifier": "B08", "position": [1, 17], "step": 0, "ordinal_position": 1}, {"identifier": "S00", "position": [2, 17], "step": 1, "ordinal_position": 2}, {"identifier": "D63", "position": [3, 17], "step": 2, "ordinal_position": 3}, {"identifier": "D80", "position": [3, 18], "step": 3, "ordinal_position": 4}, {"identifier": "Q38", "position": [3, 19], "step": 4, "ordinal_position": 5}, {"identifier": "E68", "position": [2, 19], "step": 5, "ordinal_position": 6}, {"identifier": "D16", "position": [1, 19], "step": 6, "ordinal_position": 7}, {"identifier": "K29", "position": [1, 18], "step": 7, "ordinal_position": 8}, {"identifier": "B08", "position": [1, 17], "step": 8, "ordinal_position": 9}, {"identifier": "Z30", "position": [1, 16], "step": 9, "ordinal_position": 10}, {"identifier": "J38", "position": [1, 15], "step": 10, "ordinal_position": 11}, {"identifier": "K05", "position": [2, 15], "step": 11, "ordinal_position": 12}, {"identifier": "I63", "position": [3, 15], "step": 12, "ordinal_position": 13}, {"identifier": "W25", "position": [4, 15], "step": 13, "ordinal_position": 14}, {"identifier": "W55", "position": [5, 15], "step": 14, "ordinal_position": 15}, {"identifier": "P61", "position": [5, 14], "step": 15, "ordinal_position": 16}, {"identifier": "Y91", "position": [5, 13], "step": 16, "ordinal_position": 17}, {"identifier": "X59", "position": [4, 13], "step": 17, "ordinal_position": 18}, {"identifier": "A82", "position": [3, 13], "step": 18, "ordinal_position": 19}, {"identifier": "U24", "position": [2, 13], "step": 19, "ordinal_position": 20}, {"identifier": "H83", "position": [1, 13], "step": 20, "ordinal_position": 21}, {"identifier": "O85", "position": [1, 12], "step": 21, "ordinal_position": 22}, {"identifier": "V55", "position": [1, 11], "step": 22, "ordinal_position": 23}, {"identifier": "U73", "position": [1, 10], "step": 23, "ordinal_position": 24}, {"identifier": "Z10", "position": [1, 9], "step": 24, "ordinal_position": 25}, {"identifier": "F68", "position": [1, 8], "step": 25, "ordinal_position": 26}, {"identifier": "Y53", "position": [1, 7], "step": 26, "ordinal_position": 27}, {"identifier": "B40", "position": [1, 6], "step": 27, "ordinal_position": 28}, {"identifier": "A94", "position": [1, 5], "step": 28, "ordinal_position": 29}, {"identifier": "X44", "position": [1, 4], "step": 29, "ordinal_position": 30}, {"identifier": "L62", "position": [1, 3], "step": 30, "ordinal_position": 31}, {"identifier": "M82", "position": [1, 2], "step": 31, "ordinal_position": 32}, {"identifier": "M13", "position": [1, 1], "step": 32, "ordinal_position": 33}, {"identifier": "D15", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "I02", "position": [3, 1], "step": 34, "ordinal_position": 35}, {"identifier": "K54", "position": [3, 2], "step": 35, "ordinal_position": 36}, {"identifier": "Q84", "position": [3, 3], "step": 36, "ordinal_position": 37}, {"identifier": "D89", "position": [2, 3], "step": 37, "ordinal_position": 38}, {"identifier": "L62", "position": [1, 3], "step": 38, "ordinal_position": 39}, {"identifier": "M82", "position": [1, 2], "step": 39, "ordinal_position": 40}, {"identifier": "M13", "position": [1, 1], "step": 40, "ordinal_position": 41}, {"identifier": "D15", "position": [2, 1], "step": 41, "ordinal_position": 42}, {"identifier": "I02", "position": [3, 1], "step": 42, "ordinal_position": 43}, {"identifier": "K54", "position": [3, 2], "step": 43, "ordinal_position": 44}, {"identifier": "Q84", "position": [3, 3], "step": 44, "ordinal_position": 45}, {"identifier": "D89", "position": [2, 3], "step": 45, "ordinal_position": 46}, {"identifier": "L62", "position": [1, 3], "step": 46, "ordinal_position": 47}, {"identifier": "M82", "position": [1, 2], "step": 47, "ordinal_position": 48}, {"identifier": "M13", "position": [1, 1], "step": 48, "ordinal_position": 49}, {"identifier": "D15", "position": [2, 1], "step": 49, "ordinal_position": 50}, {"identifier": "I02", "position": [3, 1], "step": 50, "ordinal_position": 51}, {"identifier": "K54", "position": [3, 2], "step": 51, "ordinal_position": 52}, {"identifier": "Q84", "position": [3, 3], "step": 52, "ordinal_position": 53}, {"identifier": "D89", "position": [2, 3], "step": 53, "ordinal_position": 54}, {"identifier": "L62", "position": [1, 3], "step": 54, "ordinal_position": 55}, {"identifier": "M82", "position": [1, 2], "step": 55, "ordinal_position": 56}, {"identifier": "M13", "position": [1, 1], "step": 56, "ordinal_position": 57}, {"identifier": "D15", "position": [2, 1], "step": 57, "ordinal_position": 58}, {"identifier": "I02", "position": [3, 1], "step": 58, "ordinal_position": 59}, {"identifier": "K54", "position": [3, 2], "step": 59, "ordinal_position": 60}, {"identifier": "Q84", "position": [3, 3], "step": 60, "ordinal_position": 61}, {"identifier": "D89", "position": [2, 3], "step": 61, "ordinal_position": 62}, {"identifier": "L62", "position": [1, 3], "step": 62, "ordinal_position": 63}, {"identifier": "M82", "position": [1, 2], "step": 63, "ordinal_position": 64}, {"identifier": "M13", "position": [1, 1], "step": 64, "ordinal_position": 65}, {"identifier": "D15", "position": [2, 1], "step": 65, "ordinal_position": 66}, {"identifier": "I02", "position": [3, 1], "step": 66, "ordinal_position": 67}, {"identifier": "K54", "position": [3, 2], "step": 67, "ordinal_position": 68}, {"identifier": "Q84", "position": [3, 3], "step": 68, "ordinal_position": 69}, {"identifier": "D89", "position": [2, 3], "step": 69, "ordinal_position": 70}, {"identifier": "L62", "position": [1, 3], "step": 70, "ordinal_position": 71}, {"identifier": "M82", "position": [1, 2], "step": 71, "ordinal_position": 72}, {"identifier": "M13", "position": [1, 1], "step": 72, "ordinal_position": 73}, {"identifier": "D15", "position": [2, 1], "step": 73, "ordinal_position": 74}, {"identifier": "I02", "position": [3, 1], "step": 74, "ordinal_position": 75}, {"identifier": "K54", "position": [3, 2], "step": 75, "ordinal_position": 76}, {"identifier": "Q84", "position": [3, 3], "step": 76, "ordinal_position": 77}, {"identifier": "D89", "position": [2, 3], "step": 77, "ordinal_position": 78}, {"identifier": "L62", "position": [1, 3], "step": 78, "ordinal_position": 79}, {"identifier": "M82", "position": [1, 2], "step": 79, "ordinal_position": 80}, {"identifier": "M13", "position": [1, 1], "step": 80, "ordinal_position": 81}, {"identifier": "D15", "position": [2, 1], "step": 81, "ordinal_position": 82}, {"identifier": "I02", "position": [3, 1], "step": 82, "ordinal_position": 83}, {"identifier": "K54", "position": [3, 2], "step": 83, "ordinal_position": 84}, {"identifier": "Q84", "position": [3, 3], "step": 84, "ordinal_position": 85}, {"identifier": "D89", "position": [2, 3], "step": 85, "ordinal_position": 86}, {"identifier": "L62", "position": [1, 3], "step": 86, "ordinal_position": 87}, {"identifier": "M82", "position": [1, 2], "step": 87, "ordinal_position": 88}, {"identifier": "M13", "position": [1, 1], "step": 88, "ordinal_position": 89}, {"identifier": "D15", "position": [2, 1], "step": 89, "ordinal_position": 90}, {"identifier": "I02", "position": [3, 1], "step": 90, "ordinal_position": 91}, {"identifier": "K54", "position": [3, 2], "step": 91, "ordinal_position": 92}, {"identifier": "Q84", "position": [3, 3], "step": 92, "ordinal_position": 93}, {"identifier": "D89", "position": [2, 3], "step": 93, "ordinal_position": 94}, {"identifier": "L62", "position": [1, 3], "step": 94, "ordinal_position": 95}, {"identifier": "M82", "position": [1, 2], "step": 95, "ordinal_position": 96}, {"identifier": "M13", "position": [1, 1], "step": 96, "ordinal_position": 97}, {"identifier": "D15", "position": [2, 1], "step": 97, "ordinal_position": 98}, {"identifier": "I02", "position": [3, 1], "step": 98, "ordinal_position": 99}, {"identifier": "K54", "position": [3, 2], "step": 99, "ordinal_position": 100}, {"identifier": "Q84", "position": [3, 3], "step": 100, "ordinal_position": 101}, {"identifier": "D89", "position": [2, 3], "step": 101, "ordinal_position": 102}, {"identifier": "L62", "position": [1, 3], "step": 102, "ordinal_position": 103}, {"identifier": "M82", "position": [1, 2], "step": 103, "ordinal_position": 104}, {"identifier": "M13", "position": [1, 1], "step": 104, "ordinal_position": 105}, {"identifier": "D15", "position": [2, 1], "step": 105, "ordinal_position": 106}, {"identifier": "I02", "position": [3, 1], "step": 106, "ordinal_position": 107}, {"identifier": "K54", "position": [3, 2], "step": 107, "ordinal_position": 108}, {"identifier": "Q84", "position": [3, 3], "step": 108, "ordinal_position": 109}, {"identifier": "D89", "position": [2, 3], "step": 109, "ordinal_position": 110}, {"identifier": "L62", "position": [1, 3], "step": 110, "ordinal_position": 111}, {"identifier": "M82", "position": [1, 2], "step": 111, "ordinal_position": 112}, {"identifier": "M13", "position": [1, 1], "step": 112, "ordinal_position": 113}, {"identifier": "D15", "position": [2, 1], "step": 113, "ordinal_position": 114}, {"identifier": "I02", "position": [3, 1], "step": 114, "ordinal_position": 115}, {"identifier": "K54", "position": [3, 2], "step": 115, "ordinal_position": 116}, {"identifier": "Q84", "position": [3, 3], "step": 116, "ordinal_position": 117}, {"identifier": "D89", "position": [2, 3], "step": 117, "ordinal_position": 118}, {"identifier": "L62", "position": [1, 3], "step": 118, "ordinal_position": 119}, {"identifier": "M82", "position": [1, 2], "step": 119, "ordinal_position": 120}, {"identifier": "M13", "position": [1, 1], "step": 120, "ordinal_position": 121}, {"identifier": "D15", "position": [2, 1], "step": 121, "ordinal_position": 122}, {"identifier": "I02", "position": [3, 1], "step": 122, "ordinal_position": 123}, {"identifier": "K54", "position": [3, 2], "step": 123, "ordinal_position": 124}, {"identifier": "Q84", "position": [3, 3], "step": 124, "ordinal_position": 125}, {"identifier": "D89", "position": [2, 3], "step": 125, "ordinal_position": 126}, {"identifier": "L62", "position": [1, 3], "step": 126, "ordinal_position": 127}, {"identifier": "M82", "position": [1, 2], "step": 127, "ordinal_position": 128}, {"identifier": "M13", "position": [1, 1], "step": 128, "ordinal_position": 129}, {"identifier": "D15", "position": [2, 1], "step": 129, "ordinal_position": 130}, {"identifier": "I02", "position": [3, 1], "step": 130, "ordinal_position": 131}, {"identifier": "K54", "position": [3, 2], "step": 131, "ordinal_position": 132}, {"identifier": "Q84", "position": [3, 3], "step": 132, "ordinal_position": 133}, {"identifier": "D89", "position": [2, 3], "step": 133, "ordinal_position": 134}, {"identifier": "L62", "position": [1, 3], "step": 134, "ordinal_position": 135}, {"identifier": "M82", "position": [1, 2], "step": 135, "ordinal_position": 136}, {"identifier": "M13", "position": [1, 1], "step": 136, "ordinal_position": 137}, {"identifier": "D15", "position": [2, 1], "step": 137, "ordinal_position": 138}, {"identifier": "I02", "position": [3, 1], "step": 138, "ordinal_position": 139}, {"identifier": "K54", "position": [3, 2], "step": 139, "ordinal_position": 140}, {"identifier": "Q84", "position": [3, 3], "step": 140, "ordinal_position": 141}, {"identifier": "D89", "position": [2, 3], "step": 141, "ordinal_position": 142}, {"identifier": "L62", "position": [1, 3], "step": 142, "ordinal_position": 143}, {"identifier": "M82", "position": [1, 2], "step": 143, "ordinal_position": 144}, {"identifier": "M13", "position": [1, 1], "step": 144, "ordinal_position": 145}, {"identifier": "D15", "position": [2, 1], "step": 145, "ordinal_position": 146}, {"identifier": "I02", "position": [3, 1], "step": 146, "ordinal_position": 147}, {"identifier": "K54", "position": [3, 2], "step": 147, "ordinal_position": 148}, {"identifier": "Q84", "position": [3, 3], "step": 148, "ordinal_position": 149}, {"identifier": "D89", "position": [2, 3], "step": 149, "ordinal_position": 150}, {"identifier": "L62", "position": [1, 3], "step": 150, "ordinal_position": 151}, {"identifier": "M82", "position": [1, 2], "step": 151, "ordinal_position": 152}, {"identifier": "M13", "position": [1, 1], "step": 152, "ordinal_position": 153}, {"identifier": "D15", "position": [2, 1], "step": 153, "ordinal_position": 154}, {"identifier": "I02", "position": [3, 1], "step": 154, "ordinal_position": 155}, {"identifier": "K54", "position": [3, 2], "step": 155, "ordinal_position": 156}, {"identifier": "Q84", "position": [3, 3], "step": 156, "ordinal_position": 157}, {"identifier": "D89", "position": [2, 3], "step": 157, "ordinal_position": 158}, {"identifier": "L62", "position": [1, 3], "step": 158, "ordinal_position": 159}, {"identifier": "M82", "position": [1, 2], "step": 159, "ordinal_position": 160}, {"identifier": "M13", "position": [1, 1], "step": 160, "ordinal_position": 161}, {"identifier": "D15", "position": [2, 1], "step": 161, "ordinal_position": 162}, {"identifier": "I02", "position": [3, 1], "step": 162, "ordinal_position": 163}, {"identifier": "K54", "position": [3, 2], "step": 163, "ordinal_position": 164}, {"identifier": "Q84", "position": [3, 3], "step": 164, "ordinal_position": 165}, {"identifier": "D89", "position": [2, 3], "step": 165, "ordinal_position": 166}, {"identifier": "L62", "position": [1, 3], "step": 166, "ordinal_position": 167}, {"identifier": "M82", "position": [1, 2], "step": 167, "ordinal_position": 168}, {"identifier": "M13", "position": [1, 1], "step": 168, "ordinal_position": 169}, {"identifier": "D15", "position": [2, 1], "step": 169, "ordinal_position": 170}, {"identifier": "I02", "position": [3, 1], "step": 170, "ordinal_position": 171}, {"identifier": "K54", "position": [3, 2], "step": 171, "ordinal_position": 172}, {"identifier": "Q84", "position": [3, 3], "step": 172, "ordinal_position": 173}, {"identifier": "D89", "position": [2, 3], "step": 173, "ordinal_position": 174}, {"identifier": "L62", "position": [1, 3], "step": 174, "ordinal_position": 175}, {"identifier": "M82", "position": [1, 2], "step": 175, "ordinal_position": 176}, {"identifier": "M13", "position": [1, 1], "step": 176, "ordinal_position": 177}, {"identifier": "D15", "position": [2, 1], "step": 177, "ordinal_position": 178}, {"identifier": "I02", "position": [3, 1], "step": 178, "ordinal_position": 179}, {"identifier": "K54", "position": [3, 2], "step": 179, "ordinal_position": 180}, {"identifier": "Q84", "position": [3, 3], "step": 180, "ordinal_position": 181}, {"identifier": "D89", "position": [2, 3], "step": 181, "ordinal_position": 182}, {"identifier": "L62", "position": [1, 3], "step": 182, "ordinal_position": 183}, {"identifier": "M82", "position": [1, 2], "step": 183, "ordinal_position": 184}, {"identifier": "M13", "position": [1, 1], "step": 184, "ordinal_position": 185}, {"identifier": "D15", "position": [2, 1], "step": 185, "ordinal_position": 186}, {"identifier": "I02", "position": [3, 1], "step": 186, "ordinal_position": 187}, {"identifier": "K54", "position": [3, 2], "step": 187, "ordinal_position": 188}, {"identifier": "Q84", "position": [3, 3], "step": 188, "ordinal_position": 189}, {"identifier": "D89", "position": [2, 3], "step": 189, "ordinal_position": 190}, {"identifier": "L62", "position": [1, 3], "step": 190, "ordinal_position": 191}, {"identifier": "M82", "position": [1, 2], "step": 191, "ordinal_position": 192}, {"identifier": "M13", "position": [1, 1], "step": 192, "ordinal_position": 193}, {"identifier": "D15", "position": [2, 1], "step": 193, "ordinal_position": 194}, {"identifier": "I02", "position": [3, 1], "step": 194, "ordinal_position": 195}, {"identifier": "K54", "position": [3, 2], "step": 195, "ordinal_position": 196}, {"identifier": "Q84", "position": [3, 3], "step": 196, "ordinal_position": 197}, {"identifier": "D89", "position": [2, 3], "step": 197, "ordinal_position": 198}, {"identifier": "L62", "position": [1, 3], "step": 198, "ordinal_position": 199}, {"identifier": "M82", "position": [1, 2], "step": 199, "ordinal_position": 200}, {"identifier": "M13", "position": [1, 1], "step": 200, "ordinal_position": 201}, {"identifier": "D15", "position": [2, 1], "step": 201, "ordinal_position": 202}, {"identifier": "I02", "position": [3, 1], "step": 202, "ordinal_position": 203}, {"identifier": "K54", "position": [3, 2], "step": 203, "ordinal_position": 204}, {"identifier": "Q84", "position": [3, 3], "step": 204, "ordinal_position": 205}, {"identifier": "D89", "position": [2, 3], "step": 205, "ordinal_position": 206}, {"identifier": "L62", "position": [1, 3], "step": 206, "ordinal_position": 207}, {"identifier": "M82", "position": [1, 2], "step": 207, "ordinal_position": 208}, {"identifier": "M13", "position": [1, 1], "step": 208, "ordinal_position": 209}, {"identifier": "D15", "position": [2, 1], "step": 209, "ordinal_position": 210}, {"identifier": "I02", "position": [3, 1], "step": 210, "ordinal_position": 211}, {"identifier": "K54", "position": [3, 2], "step": 211, "ordinal_position": 212}, {"identifier": "Q84", "position": [3, 3], "step": 212, "ordinal_position": 213}, {"identifier": "D89", "position": [2, 3], "step": 213, "ordinal_position": 214}, {"identifier": "L62", "position": [1, 3], "step": 214, "ordinal_position": 215}, {"identifier": "M82", "position": [1, 2], "step": 215, "ordinal_position": 216}, {"identifier": "M13", "position": [1, 1], "step": 216, "ordinal_position": 217}, {"identifier": "D15", "position": [2, 1], "step": 217, "ordinal_position": 218}, {"identifier": "I02", "position": [3, 1], "step": 218, "ordinal_position": 219}, {"identifier": "K54", "position": [3, 2], "step": 219, "ordinal_position": 220}, {"identifier": "Q84", "position": [3, 3], "step": 220, "ordinal_position": 221}, {"identifier": "D89", "position": [2, 3], "step": 221, "ordinal_position": 222}, {"identifier": "L62", "position": [1, 3], "step": 222, "ordinal_position": 223}, {"identifier": "M82", "position": [1, 2], "step": 223, "ordinal_position": 224}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 224, "direction": "right", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_004.json"}} {"qa_id": "07a7db07f26e4ab58660ced590591dba", "image_id": "L3-MazeLoop-test_21x21_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H35, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 146th position in this traversal?", "start_object_id": "H35", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [146], "ordinal_strings": ["146th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M74", "traversal_path": [{"identifier": "H35", "position": [7, 19], "step": 0, "ordinal_position": 1}, {"identifier": "O20", "position": [8, 19], "step": 1, "ordinal_position": 2}, {"identifier": "H22", "position": [9, 19], "step": 2, "ordinal_position": 3}, {"identifier": "M51", "position": [10, 19], "step": 3, "ordinal_position": 4}, {"identifier": "V62", "position": [11, 19], "step": 4, "ordinal_position": 5}, {"identifier": "P99", "position": [12, 19], "step": 5, "ordinal_position": 6}, {"identifier": "T30", "position": [13, 19], "step": 6, "ordinal_position": 7}, {"identifier": "A13", "position": [14, 19], "step": 7, "ordinal_position": 8}, {"identifier": "Z37", "position": [15, 19], "step": 8, "ordinal_position": 9}, {"identifier": "L03", "position": [15, 18], "step": 9, "ordinal_position": 10}, {"identifier": "I08", "position": [15, 17], "step": 10, "ordinal_position": 11}, {"identifier": "G66", "position": [15, 16], "step": 11, "ordinal_position": 12}, {"identifier": "X92", "position": [15, 15], "step": 12, "ordinal_position": 13}, {"identifier": "I41", "position": [16, 15], "step": 13, "ordinal_position": 14}, {"identifier": "N78", "position": [17, 15], "step": 14, "ordinal_position": 15}, {"identifier": "M77", "position": [17, 14], "step": 15, "ordinal_position": 16}, {"identifier": "M01", "position": [17, 13], "step": 16, "ordinal_position": 17}, {"identifier": "Q39", "position": [16, 13], "step": 17, "ordinal_position": 18}, {"identifier": "K59", "position": [15, 13], "step": 18, "ordinal_position": 19}, {"identifier": "D04", "position": [14, 13], "step": 19, "ordinal_position": 20}, {"identifier": "P05", "position": [13, 13], "step": 20, "ordinal_position": 21}, {"identifier": "S10", "position": [12, 13], "step": 21, "ordinal_position": 22}, {"identifier": "I65", "position": [11, 13], "step": 22, "ordinal_position": 23}, {"identifier": "V32", "position": [11, 12], "step": 23, "ordinal_position": 24}, {"identifier": "E62", "position": [11, 11], "step": 24, "ordinal_position": 25}, {"identifier": "F89", "position": [10, 11], "step": 25, "ordinal_position": 26}, {"identifier": "F22", "position": [9, 11], "step": 26, "ordinal_position": 27}, {"identifier": "M16", "position": [9, 10], "step": 27, "ordinal_position": 28}, {"identifier": "S19", "position": [9, 9], "step": 28, "ordinal_position": 29}, {"identifier": "R30", "position": [10, 9], "step": 29, "ordinal_position": 30}, {"identifier": "H47", "position": [11, 9], "step": 30, "ordinal_position": 31}, {"identifier": "X03", "position": [12, 9], "step": 31, "ordinal_position": 32}, {"identifier": "W32", "position": [13, 9], "step": 32, "ordinal_position": 33}, {"identifier": "C74", "position": [14, 9], "step": 33, "ordinal_position": 34}, {"identifier": "V46", "position": [15, 9], "step": 34, "ordinal_position": 35}, {"identifier": "M90", "position": [15, 8], "step": 35, "ordinal_position": 36}, {"identifier": "X50", "position": [15, 7], "step": 36, "ordinal_position": 37}, {"identifier": "I81", "position": [15, 6], "step": 37, "ordinal_position": 38}, {"identifier": "D23", "position": [15, 5], "step": 38, "ordinal_position": 39}, {"identifier": "T31", "position": [15, 4], "step": 39, "ordinal_position": 40}, {"identifier": "E84", "position": [15, 3], "step": 40, "ordinal_position": 41}, {"identifier": "E53", "position": [14, 3], "step": 41, "ordinal_position": 42}, {"identifier": "G63", "position": [13, 3], "step": 42, "ordinal_position": 43}, {"identifier": "E74", "position": [12, 3], "step": 43, "ordinal_position": 44}, {"identifier": "P91", "position": [11, 3], "step": 44, "ordinal_position": 45}, {"identifier": "I26", "position": [10, 3], "step": 45, "ordinal_position": 46}, {"identifier": "A22", "position": [9, 3], "step": 46, "ordinal_position": 47}, {"identifier": "T92", "position": [8, 3], "step": 47, "ordinal_position": 48}, {"identifier": "I95", "position": [7, 3], "step": 48, "ordinal_position": 49}, {"identifier": "O83", "position": [7, 2], "step": 49, "ordinal_position": 50}, {"identifier": "Q41", "position": [7, 1], "step": 50, "ordinal_position": 51}, {"identifier": "R20", "position": [6, 1], "step": 51, "ordinal_position": 52}, {"identifier": "G11", "position": [5, 1], "step": 52, "ordinal_position": 53}, {"identifier": "R03", "position": [5, 2], "step": 53, "ordinal_position": 54}, {"identifier": "J72", "position": [5, 3], "step": 54, "ordinal_position": 55}, {"identifier": "Y80", "position": [5, 4], "step": 55, "ordinal_position": 56}, {"identifier": "E78", "position": [5, 5], "step": 56, "ordinal_position": 57}, {"identifier": "M74", "position": [4, 5], "step": 57, "ordinal_position": 58}, {"identifier": "Y96", "position": [3, 5], "step": 58, "ordinal_position": 59}, {"identifier": "D06", "position": [2, 5], "step": 59, "ordinal_position": 60}, {"identifier": "A94", "position": [1, 5], "step": 60, "ordinal_position": 61}, {"identifier": "B40", "position": [1, 6], "step": 61, "ordinal_position": 62}, {"identifier": "Y53", "position": [1, 7], "step": 62, "ordinal_position": 63}, {"identifier": "F68", "position": [1, 8], "step": 63, "ordinal_position": 64}, {"identifier": "Z10", "position": [1, 9], "step": 64, "ordinal_position": 65}, {"identifier": "U73", "position": [1, 10], "step": 65, "ordinal_position": 66}, {"identifier": "V55", "position": [1, 11], "step": 66, "ordinal_position": 67}, {"identifier": "O85", "position": [1, 12], "step": 67, "ordinal_position": 68}, {"identifier": "H83", "position": [1, 13], "step": 68, "ordinal_position": 69}, {"identifier": "U24", "position": [2, 13], "step": 69, "ordinal_position": 70}, {"identifier": "A82", "position": [3, 13], "step": 70, "ordinal_position": 71}, {"identifier": "X59", "position": [4, 13], "step": 71, "ordinal_position": 72}, {"identifier": "Y91", "position": [5, 13], "step": 72, "ordinal_position": 73}, {"identifier": "P61", "position": [5, 14], "step": 73, "ordinal_position": 74}, {"identifier": "W55", "position": [5, 15], "step": 74, "ordinal_position": 75}, {"identifier": "W25", "position": [4, 15], "step": 75, "ordinal_position": 76}, {"identifier": "I63", "position": [3, 15], "step": 76, "ordinal_position": 77}, {"identifier": "K05", "position": [2, 15], "step": 77, "ordinal_position": 78}, {"identifier": "J38", "position": [1, 15], "step": 78, "ordinal_position": 79}, {"identifier": "Z30", "position": [1, 16], "step": 79, "ordinal_position": 80}, {"identifier": "B08", "position": [1, 17], "step": 80, "ordinal_position": 81}, {"identifier": "K29", "position": [1, 18], "step": 81, "ordinal_position": 82}, {"identifier": "D16", "position": [1, 19], "step": 82, "ordinal_position": 83}, {"identifier": "E68", "position": [2, 19], "step": 83, "ordinal_position": 84}, {"identifier": "Q38", "position": [3, 19], "step": 84, "ordinal_position": 85}, {"identifier": "G91", "position": [4, 19], "step": 85, "ordinal_position": 86}, {"identifier": "V69", "position": [5, 19], "step": 86, "ordinal_position": 87}, {"identifier": "U28", "position": [6, 19], "step": 87, "ordinal_position": 88}, {"identifier": "H35", "position": [7, 19], "step": 88, "ordinal_position": 89}, {"identifier": "O20", "position": [8, 19], "step": 89, "ordinal_position": 90}, {"identifier": "H22", "position": [9, 19], "step": 90, "ordinal_position": 91}, {"identifier": "M51", "position": [10, 19], "step": 91, "ordinal_position": 92}, {"identifier": "V62", "position": [11, 19], "step": 92, "ordinal_position": 93}, {"identifier": "P99", "position": [12, 19], "step": 93, "ordinal_position": 94}, {"identifier": "T30", "position": [13, 19], "step": 94, "ordinal_position": 95}, {"identifier": "A13", "position": [14, 19], "step": 95, "ordinal_position": 96}, {"identifier": "Z37", "position": [15, 19], "step": 96, "ordinal_position": 97}, {"identifier": "L03", "position": [15, 18], "step": 97, "ordinal_position": 98}, {"identifier": "I08", "position": [15, 17], "step": 98, "ordinal_position": 99}, {"identifier": "G66", "position": [15, 16], "step": 99, "ordinal_position": 100}, {"identifier": "X92", "position": [15, 15], "step": 100, "ordinal_position": 101}, {"identifier": "I41", "position": [16, 15], "step": 101, "ordinal_position": 102}, {"identifier": "N78", "position": [17, 15], "step": 102, "ordinal_position": 103}, {"identifier": "M77", "position": [17, 14], "step": 103, "ordinal_position": 104}, {"identifier": "M01", "position": [17, 13], "step": 104, "ordinal_position": 105}, {"identifier": "Q39", "position": [16, 13], "step": 105, "ordinal_position": 106}, {"identifier": "K59", "position": [15, 13], "step": 106, "ordinal_position": 107}, {"identifier": "D04", "position": [14, 13], "step": 107, "ordinal_position": 108}, {"identifier": "P05", "position": [13, 13], "step": 108, "ordinal_position": 109}, {"identifier": "S10", "position": [12, 13], "step": 109, "ordinal_position": 110}, {"identifier": "I65", "position": [11, 13], "step": 110, "ordinal_position": 111}, {"identifier": "V32", "position": [11, 12], "step": 111, "ordinal_position": 112}, {"identifier": "E62", "position": [11, 11], "step": 112, "ordinal_position": 113}, {"identifier": "F89", "position": [10, 11], "step": 113, "ordinal_position": 114}, {"identifier": "F22", "position": [9, 11], "step": 114, "ordinal_position": 115}, {"identifier": "M16", "position": [9, 10], "step": 115, "ordinal_position": 116}, {"identifier": "S19", "position": [9, 9], "step": 116, "ordinal_position": 117}, {"identifier": "R30", "position": [10, 9], "step": 117, "ordinal_position": 118}, {"identifier": "H47", "position": [11, 9], "step": 118, "ordinal_position": 119}, {"identifier": "X03", "position": [12, 9], "step": 119, "ordinal_position": 120}, {"identifier": "W32", "position": [13, 9], "step": 120, "ordinal_position": 121}, {"identifier": "C74", "position": [14, 9], "step": 121, "ordinal_position": 122}, {"identifier": "V46", "position": [15, 9], "step": 122, "ordinal_position": 123}, {"identifier": "M90", "position": [15, 8], "step": 123, "ordinal_position": 124}, {"identifier": "X50", "position": [15, 7], "step": 124, "ordinal_position": 125}, {"identifier": "I81", "position": [15, 6], "step": 125, "ordinal_position": 126}, {"identifier": "D23", "position": [15, 5], "step": 126, "ordinal_position": 127}, {"identifier": "T31", "position": [15, 4], "step": 127, "ordinal_position": 128}, {"identifier": "E84", "position": [15, 3], "step": 128, "ordinal_position": 129}, {"identifier": "E53", "position": [14, 3], "step": 129, "ordinal_position": 130}, {"identifier": "G63", "position": [13, 3], "step": 130, "ordinal_position": 131}, {"identifier": "E74", "position": [12, 3], "step": 131, "ordinal_position": 132}, {"identifier": "P91", "position": [11, 3], "step": 132, "ordinal_position": 133}, {"identifier": "I26", "position": [10, 3], "step": 133, "ordinal_position": 134}, {"identifier": "A22", "position": [9, 3], "step": 134, "ordinal_position": 135}, {"identifier": "T92", "position": [8, 3], "step": 135, "ordinal_position": 136}, {"identifier": "I95", "position": [7, 3], "step": 136, "ordinal_position": 137}, {"identifier": "O83", "position": [7, 2], "step": 137, "ordinal_position": 138}, {"identifier": "Q41", "position": [7, 1], "step": 138, "ordinal_position": 139}, {"identifier": "R20", "position": [6, 1], "step": 139, "ordinal_position": 140}, {"identifier": "G11", "position": [5, 1], "step": 140, "ordinal_position": 141}, {"identifier": "R03", "position": [5, 2], "step": 141, "ordinal_position": 142}, {"identifier": "J72", "position": [5, 3], "step": 142, "ordinal_position": 143}, {"identifier": "Y80", "position": [5, 4], "step": 143, "ordinal_position": 144}, {"identifier": "E78", "position": [5, 5], "step": 144, "ordinal_position": 145}, {"identifier": "M74", "position": [4, 5], "step": 145, "ordinal_position": 146}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 146, "direction": "right", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_004.json"}} {"qa_id": "441d675a485747f3a14f52d403673349", "image_id": "L3-MazeLoop-test_21x21_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y96, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 109th position in this traversal?", "start_object_id": "Y96", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [109], "ordinal_strings": ["109th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "L62", "traversal_path": [{"identifier": "Y96", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "D06", "position": [2, 5], "step": 1, "ordinal_position": 2}, {"identifier": "A94", "position": [1, 5], "step": 2, "ordinal_position": 3}, {"identifier": "X44", "position": [1, 4], "step": 3, "ordinal_position": 4}, {"identifier": "L62", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "M82", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "M13", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "D15", "position": [2, 1], "step": 7, "ordinal_position": 8}, {"identifier": "I02", "position": [3, 1], "step": 8, "ordinal_position": 9}, {"identifier": "K54", "position": [3, 2], "step": 9, "ordinal_position": 10}, {"identifier": "Q84", "position": [3, 3], "step": 10, "ordinal_position": 11}, {"identifier": "D89", "position": [2, 3], "step": 11, "ordinal_position": 12}, {"identifier": "L62", "position": [1, 3], "step": 12, "ordinal_position": 13}, {"identifier": "M82", "position": [1, 2], "step": 13, "ordinal_position": 14}, {"identifier": "M13", "position": [1, 1], "step": 14, "ordinal_position": 15}, {"identifier": "D15", "position": [2, 1], "step": 15, "ordinal_position": 16}, {"identifier": "I02", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "K54", "position": [3, 2], "step": 17, "ordinal_position": 18}, {"identifier": "Q84", "position": [3, 3], "step": 18, "ordinal_position": 19}, {"identifier": "D89", "position": [2, 3], "step": 19, "ordinal_position": 20}, {"identifier": "L62", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "M82", "position": [1, 2], "step": 21, "ordinal_position": 22}, {"identifier": "M13", "position": [1, 1], "step": 22, "ordinal_position": 23}, {"identifier": "D15", "position": [2, 1], "step": 23, "ordinal_position": 24}, {"identifier": "I02", "position": [3, 1], "step": 24, "ordinal_position": 25}, {"identifier": "K54", "position": [3, 2], "step": 25, "ordinal_position": 26}, {"identifier": "Q84", "position": [3, 3], "step": 26, "ordinal_position": 27}, {"identifier": "D89", "position": [2, 3], "step": 27, "ordinal_position": 28}, {"identifier": "L62", "position": [1, 3], "step": 28, "ordinal_position": 29}, {"identifier": "M82", "position": [1, 2], "step": 29, "ordinal_position": 30}, {"identifier": "M13", "position": [1, 1], "step": 30, "ordinal_position": 31}, {"identifier": "D15", "position": [2, 1], "step": 31, "ordinal_position": 32}, {"identifier": "I02", "position": [3, 1], "step": 32, "ordinal_position": 33}, {"identifier": "K54", "position": [3, 2], "step": 33, "ordinal_position": 34}, {"identifier": "Q84", "position": [3, 3], "step": 34, "ordinal_position": 35}, {"identifier": "D89", "position": [2, 3], "step": 35, "ordinal_position": 36}, {"identifier": "L62", "position": [1, 3], "step": 36, "ordinal_position": 37}, {"identifier": "M82", "position": [1, 2], "step": 37, "ordinal_position": 38}, {"identifier": "M13", "position": [1, 1], "step": 38, "ordinal_position": 39}, {"identifier": "D15", "position": [2, 1], "step": 39, "ordinal_position": 40}, {"identifier": "I02", "position": [3, 1], "step": 40, "ordinal_position": 41}, {"identifier": "K54", "position": [3, 2], "step": 41, "ordinal_position": 42}, {"identifier": "Q84", "position": [3, 3], "step": 42, "ordinal_position": 43}, {"identifier": "D89", "position": [2, 3], "step": 43, "ordinal_position": 44}, {"identifier": "L62", "position": [1, 3], "step": 44, "ordinal_position": 45}, {"identifier": "M82", "position": [1, 2], "step": 45, "ordinal_position": 46}, {"identifier": "M13", "position": [1, 1], "step": 46, "ordinal_position": 47}, {"identifier": "D15", "position": [2, 1], "step": 47, "ordinal_position": 48}, {"identifier": "I02", "position": [3, 1], "step": 48, "ordinal_position": 49}, {"identifier": "K54", "position": [3, 2], "step": 49, "ordinal_position": 50}, {"identifier": "Q84", "position": [3, 3], "step": 50, "ordinal_position": 51}, {"identifier": "D89", "position": [2, 3], "step": 51, "ordinal_position": 52}, {"identifier": "L62", "position": [1, 3], "step": 52, "ordinal_position": 53}, {"identifier": "M82", "position": [1, 2], "step": 53, "ordinal_position": 54}, {"identifier": "M13", "position": [1, 1], "step": 54, "ordinal_position": 55}, {"identifier": "D15", "position": [2, 1], "step": 55, "ordinal_position": 56}, {"identifier": "I02", "position": [3, 1], "step": 56, "ordinal_position": 57}, {"identifier": "K54", "position": [3, 2], "step": 57, "ordinal_position": 58}, {"identifier": "Q84", "position": [3, 3], "step": 58, "ordinal_position": 59}, {"identifier": "D89", "position": [2, 3], "step": 59, "ordinal_position": 60}, {"identifier": "L62", "position": [1, 3], "step": 60, "ordinal_position": 61}, {"identifier": "M82", "position": [1, 2], "step": 61, "ordinal_position": 62}, {"identifier": "M13", "position": [1, 1], "step": 62, "ordinal_position": 63}, {"identifier": "D15", "position": [2, 1], "step": 63, "ordinal_position": 64}, {"identifier": "I02", "position": [3, 1], "step": 64, "ordinal_position": 65}, {"identifier": "K54", "position": [3, 2], "step": 65, "ordinal_position": 66}, {"identifier": "Q84", "position": [3, 3], "step": 66, "ordinal_position": 67}, {"identifier": "D89", "position": [2, 3], "step": 67, "ordinal_position": 68}, {"identifier": "L62", "position": [1, 3], "step": 68, "ordinal_position": 69}, {"identifier": "M82", "position": [1, 2], "step": 69, "ordinal_position": 70}, {"identifier": "M13", "position": [1, 1], "step": 70, "ordinal_position": 71}, {"identifier": "D15", "position": [2, 1], "step": 71, "ordinal_position": 72}, {"identifier": "I02", "position": [3, 1], "step": 72, "ordinal_position": 73}, {"identifier": "K54", "position": [3, 2], "step": 73, "ordinal_position": 74}, {"identifier": "Q84", "position": [3, 3], "step": 74, "ordinal_position": 75}, {"identifier": "D89", "position": [2, 3], "step": 75, "ordinal_position": 76}, {"identifier": "L62", "position": [1, 3], "step": 76, "ordinal_position": 77}, {"identifier": "M82", "position": [1, 2], "step": 77, "ordinal_position": 78}, {"identifier": "M13", "position": [1, 1], "step": 78, "ordinal_position": 79}, {"identifier": "D15", "position": [2, 1], "step": 79, "ordinal_position": 80}, {"identifier": "I02", "position": [3, 1], "step": 80, "ordinal_position": 81}, {"identifier": "K54", "position": [3, 2], "step": 81, "ordinal_position": 82}, {"identifier": "Q84", "position": [3, 3], "step": 82, "ordinal_position": 83}, {"identifier": "D89", "position": [2, 3], "step": 83, "ordinal_position": 84}, {"identifier": "L62", "position": [1, 3], "step": 84, "ordinal_position": 85}, {"identifier": "M82", "position": [1, 2], "step": 85, "ordinal_position": 86}, {"identifier": "M13", "position": [1, 1], "step": 86, "ordinal_position": 87}, {"identifier": "D15", "position": [2, 1], "step": 87, "ordinal_position": 88}, {"identifier": "I02", "position": [3, 1], "step": 88, "ordinal_position": 89}, {"identifier": "K54", "position": [3, 2], "step": 89, "ordinal_position": 90}, {"identifier": "Q84", "position": [3, 3], "step": 90, "ordinal_position": 91}, {"identifier": "D89", "position": [2, 3], "step": 91, "ordinal_position": 92}, {"identifier": "L62", "position": [1, 3], "step": 92, "ordinal_position": 93}, {"identifier": "M82", "position": [1, 2], "step": 93, "ordinal_position": 94}, {"identifier": "M13", "position": [1, 1], "step": 94, "ordinal_position": 95}, {"identifier": "D15", "position": [2, 1], "step": 95, "ordinal_position": 96}, {"identifier": "I02", "position": [3, 1], "step": 96, "ordinal_position": 97}, {"identifier": "K54", "position": [3, 2], "step": 97, "ordinal_position": 98}, {"identifier": "Q84", "position": [3, 3], "step": 98, "ordinal_position": 99}, {"identifier": "D89", "position": [2, 3], "step": 99, "ordinal_position": 100}, {"identifier": "L62", "position": [1, 3], "step": 100, "ordinal_position": 101}, {"identifier": "M82", "position": [1, 2], "step": 101, "ordinal_position": 102}, {"identifier": "M13", "position": [1, 1], "step": 102, "ordinal_position": 103}, {"identifier": "D15", "position": [2, 1], "step": 103, "ordinal_position": 104}, {"identifier": "I02", "position": [3, 1], "step": 104, "ordinal_position": 105}, {"identifier": "K54", "position": [3, 2], "step": 105, "ordinal_position": 106}, {"identifier": "Q84", "position": [3, 3], "step": 106, "ordinal_position": 107}, {"identifier": "D89", "position": [2, 3], "step": 107, "ordinal_position": 108}, {"identifier": "L62", "position": [1, 3], "step": 108, "ordinal_position": 109}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 109, "direction": "left", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_004.json"}} {"qa_id": "f3424070114f49dca23599012f5ad778", "image_id": "L3-MazeLoop-test_21x21_004", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S78, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 234th position in this traversal?", "start_object_id": "S78", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [234], "ordinal_strings": ["234th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "T93", "traversal_path": [{"identifier": "S78", "position": [19, 5], "step": 0, "ordinal_position": 1}, {"identifier": "T62", "position": [19, 6], "step": 1, "ordinal_position": 2}, {"identifier": "O61", "position": [19, 7], "step": 2, "ordinal_position": 3}, {"identifier": "O70", "position": [19, 8], "step": 3, "ordinal_position": 4}, {"identifier": "Y08", "position": [19, 9], "step": 4, "ordinal_position": 5}, {"identifier": "N86", "position": [19, 10], "step": 5, "ordinal_position": 6}, {"identifier": "Q85", "position": [19, 11], "step": 6, "ordinal_position": 7}, {"identifier": "Z74", "position": [19, 12], "step": 7, "ordinal_position": 8}, {"identifier": "G77", "position": [19, 13], "step": 8, "ordinal_position": 9}, {"identifier": "Q21", "position": [19, 14], "step": 9, "ordinal_position": 10}, {"identifier": "W19", "position": [19, 15], "step": 10, "ordinal_position": 11}, {"identifier": "M31", "position": [19, 16], "step": 11, "ordinal_position": 12}, {"identifier": "F76", "position": [19, 17], "step": 12, "ordinal_position": 13}, {"identifier": "K98", "position": [19, 18], "step": 13, "ordinal_position": 14}, {"identifier": "T02", "position": [19, 19], "step": 14, "ordinal_position": 15}, {"identifier": "J10", "position": [18, 19], "step": 15, "ordinal_position": 16}, {"identifier": "Y90", "position": [17, 19], "step": 16, "ordinal_position": 17}, {"identifier": "M83", "position": [17, 18], "step": 17, "ordinal_position": 18}, {"identifier": "Z71", "position": [17, 17], "step": 18, "ordinal_position": 19}, {"identifier": "F45", "position": [18, 17], "step": 19, "ordinal_position": 20}, {"identifier": "F76", "position": [19, 17], "step": 20, "ordinal_position": 21}, {"identifier": "M31", "position": [19, 16], "step": 21, "ordinal_position": 22}, {"identifier": "W19", "position": [19, 15], "step": 22, "ordinal_position": 23}, {"identifier": "Q21", "position": [19, 14], "step": 23, "ordinal_position": 24}, {"identifier": "G77", "position": [19, 13], "step": 24, "ordinal_position": 25}, {"identifier": "Z74", "position": [19, 12], "step": 25, "ordinal_position": 26}, {"identifier": "Q85", "position": [19, 11], "step": 26, "ordinal_position": 27}, {"identifier": "N86", "position": [19, 10], "step": 27, "ordinal_position": 28}, {"identifier": "Y08", "position": [19, 9], "step": 28, "ordinal_position": 29}, {"identifier": "O70", "position": [19, 8], "step": 29, "ordinal_position": 30}, {"identifier": "O61", "position": [19, 7], "step": 30, "ordinal_position": 31}, {"identifier": "T62", "position": [19, 6], "step": 31, "ordinal_position": 32}, {"identifier": "S78", "position": [19, 5], "step": 32, "ordinal_position": 33}, {"identifier": "D38", "position": [18, 5], "step": 33, "ordinal_position": 34}, {"identifier": "N37", "position": [17, 5], "step": 34, "ordinal_position": 35}, {"identifier": "A53", "position": [17, 6], "step": 35, "ordinal_position": 36}, {"identifier": "P87", "position": [17, 7], "step": 36, "ordinal_position": 37}, {"identifier": "T93", "position": [17, 8], "step": 37, "ordinal_position": 38}, {"identifier": "B82", "position": [17, 9], "step": 38, "ordinal_position": 39}, {"identifier": "P23", "position": [17, 10], "step": 39, "ordinal_position": 40}, {"identifier": "H15", "position": [17, 11], "step": 40, "ordinal_position": 41}, {"identifier": "Z29", "position": [16, 11], "step": 41, "ordinal_position": 42}, {"identifier": "M38", "position": [15, 11], "step": 42, "ordinal_position": 43}, {"identifier": "K30", "position": [14, 11], "step": 43, "ordinal_position": 44}, {"identifier": "S58", "position": [13, 11], "step": 44, "ordinal_position": 45}, {"identifier": "X31", "position": [13, 12], "step": 45, "ordinal_position": 46}, {"identifier": "P05", "position": [13, 13], "step": 46, "ordinal_position": 47}, {"identifier": "D04", "position": [14, 13], "step": 47, "ordinal_position": 48}, {"identifier": "K59", "position": [15, 13], "step": 48, "ordinal_position": 49}, {"identifier": "Q39", "position": [16, 13], "step": 49, "ordinal_position": 50}, {"identifier": "M01", "position": [17, 13], "step": 50, "ordinal_position": 51}, {"identifier": "B69", "position": [18, 13], "step": 51, "ordinal_position": 52}, {"identifier": "G77", "position": [19, 13], "step": 52, "ordinal_position": 53}, {"identifier": "Z74", "position": [19, 12], "step": 53, "ordinal_position": 54}, {"identifier": "Q85", "position": [19, 11], "step": 54, "ordinal_position": 55}, {"identifier": "N86", "position": [19, 10], "step": 55, "ordinal_position": 56}, {"identifier": "Y08", "position": [19, 9], "step": 56, "ordinal_position": 57}, {"identifier": "O70", "position": [19, 8], "step": 57, "ordinal_position": 58}, {"identifier": "O61", "position": [19, 7], "step": 58, "ordinal_position": 59}, {"identifier": "T62", "position": [19, 6], "step": 59, "ordinal_position": 60}, {"identifier": "S78", "position": [19, 5], "step": 60, "ordinal_position": 61}, {"identifier": "D38", "position": [18, 5], "step": 61, "ordinal_position": 62}, {"identifier": "N37", "position": [17, 5], "step": 62, "ordinal_position": 63}, {"identifier": "A53", "position": [17, 6], "step": 63, "ordinal_position": 64}, {"identifier": "P87", "position": [17, 7], "step": 64, "ordinal_position": 65}, {"identifier": "T93", "position": [17, 8], "step": 65, "ordinal_position": 66}, {"identifier": "B82", "position": [17, 9], "step": 66, "ordinal_position": 67}, {"identifier": "P23", "position": [17, 10], "step": 67, "ordinal_position": 68}, {"identifier": "H15", "position": [17, 11], "step": 68, "ordinal_position": 69}, {"identifier": "Z29", "position": [16, 11], "step": 69, "ordinal_position": 70}, {"identifier": "M38", "position": [15, 11], "step": 70, "ordinal_position": 71}, {"identifier": "K30", "position": [14, 11], "step": 71, "ordinal_position": 72}, {"identifier": "S58", "position": [13, 11], "step": 72, "ordinal_position": 73}, {"identifier": "X31", "position": [13, 12], "step": 73, "ordinal_position": 74}, {"identifier": "P05", "position": [13, 13], "step": 74, "ordinal_position": 75}, {"identifier": "D04", "position": [14, 13], "step": 75, "ordinal_position": 76}, {"identifier": "K59", "position": [15, 13], "step": 76, "ordinal_position": 77}, {"identifier": "Q39", "position": [16, 13], "step": 77, "ordinal_position": 78}, {"identifier": "M01", "position": [17, 13], "step": 78, "ordinal_position": 79}, {"identifier": "B69", "position": [18, 13], "step": 79, "ordinal_position": 80}, {"identifier": "G77", "position": [19, 13], "step": 80, "ordinal_position": 81}, {"identifier": "Z74", "position": [19, 12], "step": 81, "ordinal_position": 82}, {"identifier": "Q85", "position": [19, 11], "step": 82, "ordinal_position": 83}, {"identifier": "N86", "position": [19, 10], "step": 83, "ordinal_position": 84}, {"identifier": "Y08", "position": [19, 9], "step": 84, "ordinal_position": 85}, {"identifier": "O70", "position": [19, 8], "step": 85, "ordinal_position": 86}, {"identifier": "O61", "position": [19, 7], "step": 86, "ordinal_position": 87}, {"identifier": "T62", "position": [19, 6], "step": 87, "ordinal_position": 88}, {"identifier": "S78", "position": [19, 5], "step": 88, "ordinal_position": 89}, {"identifier": "D38", "position": [18, 5], "step": 89, "ordinal_position": 90}, {"identifier": "N37", "position": [17, 5], "step": 90, "ordinal_position": 91}, {"identifier": "A53", "position": [17, 6], "step": 91, "ordinal_position": 92}, {"identifier": "P87", "position": [17, 7], "step": 92, "ordinal_position": 93}, {"identifier": "T93", "position": [17, 8], "step": 93, "ordinal_position": 94}, {"identifier": "B82", "position": [17, 9], "step": 94, "ordinal_position": 95}, {"identifier": "P23", "position": [17, 10], "step": 95, "ordinal_position": 96}, {"identifier": "H15", "position": [17, 11], "step": 96, "ordinal_position": 97}, {"identifier": "Z29", "position": [16, 11], "step": 97, "ordinal_position": 98}, {"identifier": "M38", "position": [15, 11], "step": 98, "ordinal_position": 99}, {"identifier": "K30", "position": [14, 11], "step": 99, "ordinal_position": 100}, {"identifier": "S58", "position": [13, 11], "step": 100, "ordinal_position": 101}, {"identifier": "X31", "position": [13, 12], "step": 101, "ordinal_position": 102}, {"identifier": "P05", "position": [13, 13], "step": 102, "ordinal_position": 103}, {"identifier": "D04", "position": [14, 13], "step": 103, "ordinal_position": 104}, {"identifier": "K59", "position": [15, 13], "step": 104, "ordinal_position": 105}, {"identifier": "Q39", "position": [16, 13], "step": 105, "ordinal_position": 106}, {"identifier": "M01", "position": [17, 13], "step": 106, "ordinal_position": 107}, {"identifier": "B69", "position": [18, 13], "step": 107, "ordinal_position": 108}, {"identifier": "G77", "position": [19, 13], "step": 108, "ordinal_position": 109}, {"identifier": "Z74", "position": [19, 12], "step": 109, "ordinal_position": 110}, {"identifier": "Q85", "position": [19, 11], "step": 110, "ordinal_position": 111}, {"identifier": "N86", "position": [19, 10], "step": 111, "ordinal_position": 112}, {"identifier": "Y08", "position": [19, 9], "step": 112, "ordinal_position": 113}, {"identifier": "O70", "position": [19, 8], "step": 113, "ordinal_position": 114}, {"identifier": "O61", "position": [19, 7], "step": 114, "ordinal_position": 115}, {"identifier": "T62", "position": [19, 6], "step": 115, "ordinal_position": 116}, {"identifier": "S78", "position": [19, 5], "step": 116, "ordinal_position": 117}, {"identifier": "D38", "position": [18, 5], "step": 117, "ordinal_position": 118}, {"identifier": "N37", "position": [17, 5], "step": 118, "ordinal_position": 119}, {"identifier": "A53", "position": [17, 6], "step": 119, "ordinal_position": 120}, {"identifier": "P87", "position": [17, 7], "step": 120, "ordinal_position": 121}, {"identifier": "T93", "position": [17, 8], "step": 121, "ordinal_position": 122}, {"identifier": "B82", "position": [17, 9], "step": 122, "ordinal_position": 123}, {"identifier": "P23", "position": [17, 10], "step": 123, "ordinal_position": 124}, {"identifier": "H15", "position": [17, 11], "step": 124, "ordinal_position": 125}, {"identifier": "Z29", "position": [16, 11], "step": 125, "ordinal_position": 126}, {"identifier": "M38", "position": [15, 11], "step": 126, "ordinal_position": 127}, {"identifier": "K30", "position": [14, 11], "step": 127, "ordinal_position": 128}, {"identifier": "S58", "position": [13, 11], "step": 128, "ordinal_position": 129}, {"identifier": "X31", "position": [13, 12], "step": 129, "ordinal_position": 130}, {"identifier": "P05", "position": [13, 13], "step": 130, "ordinal_position": 131}, {"identifier": "D04", "position": [14, 13], "step": 131, "ordinal_position": 132}, {"identifier": "K59", "position": [15, 13], "step": 132, "ordinal_position": 133}, {"identifier": "Q39", "position": [16, 13], "step": 133, "ordinal_position": 134}, {"identifier": "M01", "position": [17, 13], "step": 134, "ordinal_position": 135}, {"identifier": "B69", "position": [18, 13], "step": 135, "ordinal_position": 136}, {"identifier": "G77", "position": [19, 13], "step": 136, "ordinal_position": 137}, {"identifier": "Z74", "position": [19, 12], "step": 137, "ordinal_position": 138}, {"identifier": "Q85", "position": [19, 11], "step": 138, "ordinal_position": 139}, {"identifier": "N86", "position": [19, 10], "step": 139, "ordinal_position": 140}, {"identifier": "Y08", "position": [19, 9], "step": 140, "ordinal_position": 141}, {"identifier": "O70", "position": [19, 8], "step": 141, "ordinal_position": 142}, {"identifier": "O61", "position": [19, 7], "step": 142, "ordinal_position": 143}, {"identifier": "T62", "position": [19, 6], "step": 143, "ordinal_position": 144}, {"identifier": "S78", "position": [19, 5], "step": 144, "ordinal_position": 145}, {"identifier": "D38", "position": [18, 5], "step": 145, "ordinal_position": 146}, {"identifier": "N37", "position": [17, 5], "step": 146, "ordinal_position": 147}, {"identifier": "A53", "position": [17, 6], "step": 147, "ordinal_position": 148}, {"identifier": "P87", "position": [17, 7], "step": 148, "ordinal_position": 149}, {"identifier": "T93", "position": [17, 8], "step": 149, "ordinal_position": 150}, {"identifier": "B82", "position": [17, 9], "step": 150, "ordinal_position": 151}, {"identifier": "P23", "position": [17, 10], "step": 151, "ordinal_position": 152}, {"identifier": "H15", "position": [17, 11], "step": 152, "ordinal_position": 153}, {"identifier": "Z29", "position": [16, 11], "step": 153, "ordinal_position": 154}, {"identifier": "M38", "position": [15, 11], "step": 154, "ordinal_position": 155}, {"identifier": "K30", "position": [14, 11], "step": 155, "ordinal_position": 156}, {"identifier": "S58", "position": [13, 11], "step": 156, "ordinal_position": 157}, {"identifier": "X31", "position": [13, 12], "step": 157, "ordinal_position": 158}, {"identifier": "P05", "position": [13, 13], "step": 158, "ordinal_position": 159}, {"identifier": "D04", "position": [14, 13], "step": 159, "ordinal_position": 160}, {"identifier": "K59", "position": [15, 13], "step": 160, "ordinal_position": 161}, {"identifier": "Q39", "position": [16, 13], "step": 161, "ordinal_position": 162}, {"identifier": "M01", "position": [17, 13], "step": 162, "ordinal_position": 163}, {"identifier": "B69", "position": [18, 13], "step": 163, "ordinal_position": 164}, {"identifier": "G77", "position": [19, 13], "step": 164, "ordinal_position": 165}, {"identifier": "Z74", "position": [19, 12], "step": 165, "ordinal_position": 166}, {"identifier": "Q85", "position": [19, 11], "step": 166, "ordinal_position": 167}, {"identifier": "N86", "position": [19, 10], "step": 167, "ordinal_position": 168}, {"identifier": "Y08", "position": [19, 9], "step": 168, "ordinal_position": 169}, {"identifier": "O70", "position": [19, 8], "step": 169, "ordinal_position": 170}, {"identifier": "O61", "position": [19, 7], "step": 170, "ordinal_position": 171}, {"identifier": "T62", "position": [19, 6], "step": 171, "ordinal_position": 172}, {"identifier": "S78", "position": [19, 5], "step": 172, "ordinal_position": 173}, {"identifier": "D38", "position": [18, 5], "step": 173, "ordinal_position": 174}, {"identifier": "N37", "position": [17, 5], "step": 174, "ordinal_position": 175}, {"identifier": "A53", "position": [17, 6], "step": 175, "ordinal_position": 176}, {"identifier": "P87", "position": [17, 7], "step": 176, "ordinal_position": 177}, {"identifier": "T93", "position": [17, 8], "step": 177, "ordinal_position": 178}, {"identifier": "B82", "position": [17, 9], "step": 178, "ordinal_position": 179}, {"identifier": "P23", "position": [17, 10], "step": 179, "ordinal_position": 180}, {"identifier": "H15", "position": [17, 11], "step": 180, "ordinal_position": 181}, {"identifier": "Z29", "position": [16, 11], "step": 181, "ordinal_position": 182}, {"identifier": "M38", "position": [15, 11], "step": 182, "ordinal_position": 183}, {"identifier": "K30", "position": [14, 11], "step": 183, "ordinal_position": 184}, {"identifier": "S58", "position": [13, 11], "step": 184, "ordinal_position": 185}, {"identifier": "X31", "position": [13, 12], "step": 185, "ordinal_position": 186}, {"identifier": "P05", "position": [13, 13], "step": 186, "ordinal_position": 187}, {"identifier": "D04", "position": [14, 13], "step": 187, "ordinal_position": 188}, {"identifier": "K59", "position": [15, 13], "step": 188, "ordinal_position": 189}, {"identifier": "Q39", "position": [16, 13], "step": 189, "ordinal_position": 190}, {"identifier": "M01", "position": [17, 13], "step": 190, "ordinal_position": 191}, {"identifier": "B69", "position": [18, 13], "step": 191, "ordinal_position": 192}, {"identifier": "G77", "position": [19, 13], "step": 192, "ordinal_position": 193}, {"identifier": "Z74", "position": [19, 12], "step": 193, "ordinal_position": 194}, {"identifier": "Q85", "position": [19, 11], "step": 194, "ordinal_position": 195}, {"identifier": "N86", "position": [19, 10], "step": 195, "ordinal_position": 196}, {"identifier": "Y08", "position": [19, 9], "step": 196, "ordinal_position": 197}, {"identifier": "O70", "position": [19, 8], "step": 197, "ordinal_position": 198}, {"identifier": "O61", "position": [19, 7], "step": 198, "ordinal_position": 199}, {"identifier": "T62", "position": [19, 6], "step": 199, "ordinal_position": 200}, {"identifier": "S78", "position": [19, 5], "step": 200, "ordinal_position": 201}, {"identifier": "D38", "position": [18, 5], "step": 201, "ordinal_position": 202}, {"identifier": "N37", "position": [17, 5], "step": 202, "ordinal_position": 203}, {"identifier": "A53", "position": [17, 6], "step": 203, "ordinal_position": 204}, {"identifier": "P87", "position": [17, 7], "step": 204, "ordinal_position": 205}, {"identifier": "T93", "position": [17, 8], "step": 205, "ordinal_position": 206}, {"identifier": "B82", "position": [17, 9], "step": 206, "ordinal_position": 207}, {"identifier": "P23", "position": [17, 10], "step": 207, "ordinal_position": 208}, {"identifier": "H15", "position": [17, 11], "step": 208, "ordinal_position": 209}, {"identifier": "Z29", "position": [16, 11], "step": 209, "ordinal_position": 210}, {"identifier": "M38", "position": [15, 11], "step": 210, "ordinal_position": 211}, {"identifier": "K30", "position": [14, 11], "step": 211, "ordinal_position": 212}, {"identifier": "S58", "position": [13, 11], "step": 212, "ordinal_position": 213}, {"identifier": "X31", "position": [13, 12], "step": 213, "ordinal_position": 214}, {"identifier": "P05", "position": [13, 13], "step": 214, "ordinal_position": 215}, {"identifier": "D04", "position": [14, 13], "step": 215, "ordinal_position": 216}, {"identifier": "K59", "position": [15, 13], "step": 216, "ordinal_position": 217}, {"identifier": "Q39", "position": [16, 13], "step": 217, "ordinal_position": 218}, {"identifier": "M01", "position": [17, 13], "step": 218, "ordinal_position": 219}, {"identifier": "B69", "position": [18, 13], "step": 219, "ordinal_position": 220}, {"identifier": "G77", "position": [19, 13], "step": 220, "ordinal_position": 221}, {"identifier": "Z74", "position": [19, 12], "step": 221, "ordinal_position": 222}, {"identifier": "Q85", "position": [19, 11], "step": 222, "ordinal_position": 223}, {"identifier": "N86", "position": [19, 10], "step": 223, "ordinal_position": 224}, {"identifier": "Y08", "position": [19, 9], "step": 224, "ordinal_position": 225}, {"identifier": "O70", "position": [19, 8], "step": 225, "ordinal_position": 226}, {"identifier": "O61", "position": [19, 7], "step": 226, "ordinal_position": 227}, {"identifier": "T62", "position": [19, 6], "step": 227, "ordinal_position": 228}, {"identifier": "S78", "position": [19, 5], "step": 228, "ordinal_position": 229}, {"identifier": "D38", "position": [18, 5], "step": 229, "ordinal_position": 230}, {"identifier": "N37", "position": [17, 5], "step": 230, "ordinal_position": 231}, {"identifier": "A53", "position": [17, 6], "step": 231, "ordinal_position": 232}, {"identifier": "P87", "position": [17, 7], "step": 232, "ordinal_position": 233}, {"identifier": "T93", "position": [17, 8], "step": 233, "ordinal_position": 234}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 234, "direction": "down", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_004.json"}} {"qa_id": "9570712eb24040b6b28a7766f48d563a", "image_id": "L3-MazeLoop-test_21x21_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O82, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 17th position in this traversal?", "start_object_id": "O82", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [17], "ordinal_strings": ["17th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "S42", "traversal_path": [{"identifier": "O82", "position": [5, 18], "step": 0, "ordinal_position": 1}, {"identifier": "B50", "position": [5, 19], "step": 1, "ordinal_position": 2}, {"identifier": "F44", "position": [4, 19], "step": 2, "ordinal_position": 3}, {"identifier": "K33", "position": [3, 19], "step": 3, "ordinal_position": 4}, {"identifier": "D22", "position": [2, 19], "step": 4, "ordinal_position": 5}, {"identifier": "T53", "position": [1, 19], "step": 5, "ordinal_position": 6}, {"identifier": "T59", "position": [1, 18], "step": 6, "ordinal_position": 7}, {"identifier": "A03", "position": [1, 17], "step": 7, "ordinal_position": 8}, {"identifier": "T14", "position": [1, 16], "step": 8, "ordinal_position": 9}, {"identifier": "P67", "position": [1, 15], "step": 9, "ordinal_position": 10}, {"identifier": "Q73", "position": [1, 14], "step": 10, "ordinal_position": 11}, {"identifier": "B71", "position": [1, 13], "step": 11, "ordinal_position": 12}, {"identifier": "E99", "position": [1, 12], "step": 12, "ordinal_position": 13}, {"identifier": "T54", "position": [1, 11], "step": 13, "ordinal_position": 14}, {"identifier": "T31", "position": [1, 10], "step": 14, "ordinal_position": 15}, {"identifier": "O24", "position": [1, 9], "step": 15, "ordinal_position": 16}, {"identifier": "S42", "position": [1, 8], "step": 16, "ordinal_position": 17}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 17, "direction": "down", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_005.json"}} {"qa_id": "73356ab644b1410b9a0614afdeffd2b7", "image_id": "L3-MazeLoop-test_21x21_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O35, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 17th position in this traversal?", "start_object_id": "O35", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [17], "ordinal_strings": ["17th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M99", "traversal_path": [{"identifier": "O35", "position": [19, 7], "step": 0, "ordinal_position": 1}, {"identifier": "T76", "position": [19, 6], "step": 1, "ordinal_position": 2}, {"identifier": "N92", "position": [19, 5], "step": 2, "ordinal_position": 3}, {"identifier": "X17", "position": [19, 4], "step": 3, "ordinal_position": 4}, {"identifier": "I04", "position": [19, 3], "step": 4, "ordinal_position": 5}, {"identifier": "N69", "position": [19, 2], "step": 5, "ordinal_position": 6}, {"identifier": "A11", "position": [19, 1], "step": 6, "ordinal_position": 7}, {"identifier": "X79", "position": [18, 1], "step": 7, "ordinal_position": 8}, {"identifier": "V81", "position": [17, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Z78", "position": [16, 1], "step": 9, "ordinal_position": 10}, {"identifier": "N07", "position": [15, 1], "step": 10, "ordinal_position": 11}, {"identifier": "M14", "position": [14, 1], "step": 11, "ordinal_position": 12}, {"identifier": "R06", "position": [13, 1], "step": 12, "ordinal_position": 13}, {"identifier": "P13", "position": [12, 1], "step": 13, "ordinal_position": 14}, {"identifier": "W52", "position": [11, 1], "step": 14, "ordinal_position": 15}, {"identifier": "H40", "position": [10, 1], "step": 15, "ordinal_position": 16}, {"identifier": "M99", "position": [9, 1], "step": 16, "ordinal_position": 17}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 17, "direction": "up", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_005.json"}} {"qa_id": "b2803c22ceac41c49740a961820ef580", "image_id": "L3-MazeLoop-test_21x21_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z13, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "Z13", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "I37", "traversal_path": [{"identifier": "Z13", "position": [9, 2], "step": 0, "ordinal_position": 1}, {"identifier": "F76", "position": [9, 3], "step": 1, "ordinal_position": 2}, {"identifier": "I37", "position": [8, 3], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 3, "direction": "down", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_005.json"}} {"qa_id": "b652fd9f86714b18a91e3a20cc97877f", "image_id": "L3-MazeLoop-test_21x21_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A02, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 20th position in this traversal?", "start_object_id": "A02", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [20], "ordinal_strings": ["20th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "W34", "traversal_path": [{"identifier": "A02", "position": [3, 7], "step": 0, "ordinal_position": 1}, {"identifier": "U99", "position": [4, 7], "step": 1, "ordinal_position": 2}, {"identifier": "V15", "position": [5, 7], "step": 2, "ordinal_position": 3}, {"identifier": "C70", "position": [5, 6], "step": 3, "ordinal_position": 4}, {"identifier": "P72", "position": [5, 5], "step": 4, "ordinal_position": 5}, {"identifier": "L08", "position": [6, 5], "step": 5, "ordinal_position": 6}, {"identifier": "A66", "position": [7, 5], "step": 6, "ordinal_position": 7}, {"identifier": "P31", "position": [8, 5], "step": 7, "ordinal_position": 8}, {"identifier": "T44", "position": [9, 5], "step": 8, "ordinal_position": 9}, {"identifier": "M15", "position": [10, 5], "step": 9, "ordinal_position": 10}, {"identifier": "H06", "position": [11, 5], "step": 10, "ordinal_position": 11}, {"identifier": "W40", "position": [11, 6], "step": 11, "ordinal_position": 12}, {"identifier": "I15", "position": [11, 7], "step": 12, "ordinal_position": 13}, {"identifier": "M31", "position": [10, 7], "step": 13, "ordinal_position": 14}, {"identifier": "N34", "position": [9, 7], "step": 14, "ordinal_position": 15}, {"identifier": "B46", "position": [8, 7], "step": 15, "ordinal_position": 16}, {"identifier": "E40", "position": [7, 7], "step": 16, "ordinal_position": 17}, {"identifier": "E71", "position": [7, 8], "step": 17, "ordinal_position": 18}, {"identifier": "U07", "position": [7, 9], "step": 18, "ordinal_position": 19}, {"identifier": "W34", "position": [7, 10], "step": 19, "ordinal_position": 20}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 20, "direction": "right", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_005.json"}} {"qa_id": "925e114f15054f3f87e3a3355c4f921b", "image_id": "L3-MazeLoop-test_21x21_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y19, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 13th position in this traversal?", "start_object_id": "Y19", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [13], "ordinal_strings": ["13th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "L72", "traversal_path": [{"identifier": "Y19", "position": [14, 19], "step": 0, "ordinal_position": 1}, {"identifier": "T04", "position": [15, 19], "step": 1, "ordinal_position": 2}, {"identifier": "U32", "position": [16, 19], "step": 2, "ordinal_position": 3}, {"identifier": "T35", "position": [17, 19], "step": 3, "ordinal_position": 4}, {"identifier": "A80", "position": [18, 19], "step": 4, "ordinal_position": 5}, {"identifier": "F29", "position": [19, 19], "step": 5, "ordinal_position": 6}, {"identifier": "U14", "position": [19, 18], "step": 6, "ordinal_position": 7}, {"identifier": "W05", "position": [19, 17], "step": 7, "ordinal_position": 8}, {"identifier": "S96", "position": [18, 17], "step": 8, "ordinal_position": 9}, {"identifier": "L58", "position": [17, 17], "step": 9, "ordinal_position": 10}, {"identifier": "W65", "position": [17, 16], "step": 10, "ordinal_position": 11}, {"identifier": "P55", "position": [17, 15], "step": 11, "ordinal_position": 12}, {"identifier": "L72", "position": [18, 15], "step": 12, "ordinal_position": 13}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 13, "direction": "right", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_005.json"}} {"qa_id": "6624f70e728d4aaf83d08de5f8634590", "image_id": "L3-MazeLoop-test_21x21_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z05, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 59th position in this traversal?", "start_object_id": "Z05", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [59], "ordinal_strings": ["59th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "P57", "traversal_path": [{"identifier": "Z05", "position": [16, 5], "step": 0, "ordinal_position": 1}, {"identifier": "U21", "position": [15, 5], "step": 1, "ordinal_position": 2}, {"identifier": "G55", "position": [14, 5], "step": 2, "ordinal_position": 3}, {"identifier": "H83", "position": [13, 5], "step": 3, "ordinal_position": 4}, {"identifier": "X09", "position": [13, 4], "step": 4, "ordinal_position": 5}, {"identifier": "H03", "position": [13, 3], "step": 5, "ordinal_position": 6}, {"identifier": "B49", "position": [14, 3], "step": 6, "ordinal_position": 7}, {"identifier": "F46", "position": [15, 3], "step": 7, "ordinal_position": 8}, {"identifier": "J97", "position": [16, 3], "step": 8, "ordinal_position": 9}, {"identifier": "I13", "position": [17, 3], "step": 9, "ordinal_position": 10}, {"identifier": "M09", "position": [18, 3], "step": 10, "ordinal_position": 11}, {"identifier": "I04", "position": [19, 3], "step": 11, "ordinal_position": 12}, {"identifier": "N69", "position": [19, 2], "step": 12, "ordinal_position": 13}, {"identifier": "A11", "position": [19, 1], "step": 13, "ordinal_position": 14}, {"identifier": "X79", "position": [18, 1], "step": 14, "ordinal_position": 15}, {"identifier": "V81", "position": [17, 1], "step": 15, "ordinal_position": 16}, {"identifier": "Z78", "position": [16, 1], "step": 16, "ordinal_position": 17}, {"identifier": "N07", "position": [15, 1], "step": 17, "ordinal_position": 18}, {"identifier": "M14", "position": [14, 1], "step": 18, "ordinal_position": 19}, {"identifier": "R06", "position": [13, 1], "step": 19, "ordinal_position": 20}, {"identifier": "P13", "position": [12, 1], "step": 20, "ordinal_position": 21}, {"identifier": "W52", "position": [11, 1], "step": 21, "ordinal_position": 22}, {"identifier": "H40", "position": [10, 1], "step": 22, "ordinal_position": 23}, {"identifier": "M99", "position": [9, 1], "step": 23, "ordinal_position": 24}, {"identifier": "R72", "position": [8, 1], "step": 24, "ordinal_position": 25}, {"identifier": "Q60", "position": [7, 1], "step": 25, "ordinal_position": 26}, {"identifier": "K96", "position": [6, 1], "step": 26, "ordinal_position": 27}, {"identifier": "K64", "position": [5, 1], "step": 27, "ordinal_position": 28}, {"identifier": "A59", "position": [4, 1], "step": 28, "ordinal_position": 29}, {"identifier": "O92", "position": [3, 1], "step": 29, "ordinal_position": 30}, {"identifier": "V70", "position": [2, 1], "step": 30, "ordinal_position": 31}, {"identifier": "B09", "position": [1, 1], "step": 31, "ordinal_position": 32}, {"identifier": "W41", "position": [1, 2], "step": 32, "ordinal_position": 33}, {"identifier": "X11", "position": [1, 3], "step": 33, "ordinal_position": 34}, {"identifier": "Z54", "position": [1, 4], "step": 34, "ordinal_position": 35}, {"identifier": "M59", "position": [1, 5], "step": 35, "ordinal_position": 36}, {"identifier": "Q79", "position": [1, 6], "step": 36, "ordinal_position": 37}, {"identifier": "W95", "position": [1, 7], "step": 37, "ordinal_position": 38}, {"identifier": "S42", "position": [1, 8], "step": 38, "ordinal_position": 39}, {"identifier": "O24", "position": [1, 9], "step": 39, "ordinal_position": 40}, {"identifier": "T31", "position": [1, 10], "step": 40, "ordinal_position": 41}, {"identifier": "T54", "position": [1, 11], "step": 41, "ordinal_position": 42}, {"identifier": "E99", "position": [1, 12], "step": 42, "ordinal_position": 43}, {"identifier": "B71", "position": [1, 13], "step": 43, "ordinal_position": 44}, {"identifier": "Q73", "position": [1, 14], "step": 44, "ordinal_position": 45}, {"identifier": "P67", "position": [1, 15], "step": 45, "ordinal_position": 46}, {"identifier": "T14", "position": [1, 16], "step": 46, "ordinal_position": 47}, {"identifier": "A03", "position": [1, 17], "step": 47, "ordinal_position": 48}, {"identifier": "T59", "position": [1, 18], "step": 48, "ordinal_position": 49}, {"identifier": "T53", "position": [1, 19], "step": 49, "ordinal_position": 50}, {"identifier": "D22", "position": [2, 19], "step": 50, "ordinal_position": 51}, {"identifier": "K33", "position": [3, 19], "step": 51, "ordinal_position": 52}, {"identifier": "F44", "position": [4, 19], "step": 52, "ordinal_position": 53}, {"identifier": "B50", "position": [5, 19], "step": 53, "ordinal_position": 54}, {"identifier": "O82", "position": [5, 18], "step": 54, "ordinal_position": 55}, {"identifier": "M73", "position": [5, 17], "step": 55, "ordinal_position": 56}, {"identifier": "J26", "position": [4, 17], "step": 56, "ordinal_position": 57}, {"identifier": "H43", "position": [3, 17], "step": 57, "ordinal_position": 58}, {"identifier": "P57", "position": [3, 16], "step": 58, "ordinal_position": 59}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 59, "direction": "left", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_005.json"}} {"qa_id": "0fc537af06ef49d785d24c60b264a8a0", "image_id": "L3-MazeLoop-test_21x21_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z84, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 33rd position in this traversal?", "start_object_id": "Z84", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [33], "ordinal_strings": ["33rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "X79", "traversal_path": [{"identifier": "Z84", "position": [5, 12], "step": 0, "ordinal_position": 1}, {"identifier": "Y92", "position": [5, 11], "step": 1, "ordinal_position": 2}, {"identifier": "M32", "position": [5, 10], "step": 2, "ordinal_position": 3}, {"identifier": "G77", "position": [5, 9], "step": 3, "ordinal_position": 4}, {"identifier": "S16", "position": [4, 9], "step": 4, "ordinal_position": 5}, {"identifier": "Z26", "position": [3, 9], "step": 5, "ordinal_position": 6}, {"identifier": "V68", "position": [2, 9], "step": 6, "ordinal_position": 7}, {"identifier": "O24", "position": [1, 9], "step": 7, "ordinal_position": 8}, {"identifier": "S42", "position": [1, 8], "step": 8, "ordinal_position": 9}, {"identifier": "W95", "position": [1, 7], "step": 9, "ordinal_position": 10}, {"identifier": "Q79", "position": [1, 6], "step": 10, "ordinal_position": 11}, {"identifier": "M59", "position": [1, 5], "step": 11, "ordinal_position": 12}, {"identifier": "Z54", "position": [1, 4], "step": 12, "ordinal_position": 13}, {"identifier": "X11", "position": [1, 3], "step": 13, "ordinal_position": 14}, {"identifier": "W41", "position": [1, 2], "step": 14, "ordinal_position": 15}, {"identifier": "B09", "position": [1, 1], "step": 15, "ordinal_position": 16}, {"identifier": "V70", "position": [2, 1], "step": 16, "ordinal_position": 17}, {"identifier": "O92", "position": [3, 1], "step": 17, "ordinal_position": 18}, {"identifier": "A59", "position": [4, 1], "step": 18, "ordinal_position": 19}, {"identifier": "K64", "position": [5, 1], "step": 19, "ordinal_position": 20}, {"identifier": "K96", "position": [6, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Q60", "position": [7, 1], "step": 21, "ordinal_position": 22}, {"identifier": "R72", "position": [8, 1], "step": 22, "ordinal_position": 23}, {"identifier": "M99", "position": [9, 1], "step": 23, "ordinal_position": 24}, {"identifier": "H40", "position": [10, 1], "step": 24, "ordinal_position": 25}, {"identifier": "W52", "position": [11, 1], "step": 25, "ordinal_position": 26}, {"identifier": "P13", "position": [12, 1], "step": 26, "ordinal_position": 27}, {"identifier": "R06", "position": [13, 1], "step": 27, "ordinal_position": 28}, {"identifier": "M14", "position": [14, 1], "step": 28, "ordinal_position": 29}, {"identifier": "N07", "position": [15, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Z78", "position": [16, 1], "step": 30, "ordinal_position": 31}, {"identifier": "V81", "position": [17, 1], "step": 31, "ordinal_position": 32}, {"identifier": "X79", "position": [18, 1], "step": 32, "ordinal_position": 33}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 33, "direction": "up", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_005.json"}} {"qa_id": "11d61995ecee4c58a21676f6bb34e438", "image_id": "L3-MazeLoop-test_21x21_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K96, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 74th position in this traversal?", "start_object_id": "K96", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [74], "ordinal_strings": ["74th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "I13", "traversal_path": [{"identifier": "K96", "position": [6, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Q60", "position": [7, 1], "step": 1, "ordinal_position": 2}, {"identifier": "R72", "position": [8, 1], "step": 2, "ordinal_position": 3}, {"identifier": "M99", "position": [9, 1], "step": 3, "ordinal_position": 4}, {"identifier": "H40", "position": [10, 1], "step": 4, "ordinal_position": 5}, {"identifier": "W52", "position": [11, 1], "step": 5, "ordinal_position": 6}, {"identifier": "P13", "position": [12, 1], "step": 6, "ordinal_position": 7}, {"identifier": "R06", "position": [13, 1], "step": 7, "ordinal_position": 8}, {"identifier": "M14", "position": [14, 1], "step": 8, "ordinal_position": 9}, {"identifier": "N07", "position": [15, 1], "step": 9, "ordinal_position": 10}, {"identifier": "Z78", "position": [16, 1], "step": 10, "ordinal_position": 11}, {"identifier": "V81", "position": [17, 1], "step": 11, "ordinal_position": 12}, {"identifier": "X79", "position": [18, 1], "step": 12, "ordinal_position": 13}, {"identifier": "A11", "position": [19, 1], "step": 13, "ordinal_position": 14}, {"identifier": "N69", "position": [19, 2], "step": 14, "ordinal_position": 15}, {"identifier": "I04", "position": [19, 3], "step": 15, "ordinal_position": 16}, {"identifier": "X17", "position": [19, 4], "step": 16, "ordinal_position": 17}, {"identifier": "N92", "position": [19, 5], "step": 17, "ordinal_position": 18}, {"identifier": "T76", "position": [19, 6], "step": 18, "ordinal_position": 19}, {"identifier": "O35", "position": [19, 7], "step": 19, "ordinal_position": 20}, {"identifier": "F16", "position": [18, 7], "step": 20, "ordinal_position": 21}, {"identifier": "K05", "position": [17, 7], "step": 21, "ordinal_position": 22}, {"identifier": "W49", "position": [17, 6], "step": 22, "ordinal_position": 23}, {"identifier": "Z19", "position": [17, 5], "step": 23, "ordinal_position": 24}, {"identifier": "Z05", "position": [16, 5], "step": 24, "ordinal_position": 25}, {"identifier": "U21", "position": [15, 5], "step": 25, "ordinal_position": 26}, {"identifier": "G55", "position": [14, 5], "step": 26, "ordinal_position": 27}, {"identifier": "H83", "position": [13, 5], "step": 27, "ordinal_position": 28}, {"identifier": "X09", "position": [13, 4], "step": 28, "ordinal_position": 29}, {"identifier": "H03", "position": [13, 3], "step": 29, "ordinal_position": 30}, {"identifier": "B49", "position": [14, 3], "step": 30, "ordinal_position": 31}, {"identifier": "F46", "position": [15, 3], "step": 31, "ordinal_position": 32}, {"identifier": "J97", "position": [16, 3], "step": 32, "ordinal_position": 33}, {"identifier": "I13", "position": [17, 3], "step": 33, "ordinal_position": 34}, {"identifier": "M09", "position": [18, 3], "step": 34, "ordinal_position": 35}, {"identifier": "I04", "position": [19, 3], "step": 35, "ordinal_position": 36}, {"identifier": "X17", "position": [19, 4], "step": 36, "ordinal_position": 37}, {"identifier": "N92", "position": [19, 5], "step": 37, "ordinal_position": 38}, {"identifier": "T76", "position": [19, 6], "step": 38, "ordinal_position": 39}, {"identifier": "O35", "position": [19, 7], "step": 39, "ordinal_position": 40}, {"identifier": "F16", "position": [18, 7], "step": 40, "ordinal_position": 41}, {"identifier": "K05", "position": [17, 7], "step": 41, "ordinal_position": 42}, {"identifier": "W49", "position": [17, 6], "step": 42, "ordinal_position": 43}, {"identifier": "Z19", "position": [17, 5], "step": 43, "ordinal_position": 44}, {"identifier": "Z05", "position": [16, 5], "step": 44, "ordinal_position": 45}, {"identifier": "U21", "position": [15, 5], "step": 45, "ordinal_position": 46}, {"identifier": "G55", "position": [14, 5], "step": 46, "ordinal_position": 47}, {"identifier": "H83", "position": [13, 5], "step": 47, "ordinal_position": 48}, {"identifier": "X09", "position": [13, 4], "step": 48, "ordinal_position": 49}, {"identifier": "H03", "position": [13, 3], "step": 49, "ordinal_position": 50}, {"identifier": "B49", "position": [14, 3], "step": 50, "ordinal_position": 51}, {"identifier": "F46", "position": [15, 3], "step": 51, "ordinal_position": 52}, {"identifier": "J97", "position": [16, 3], "step": 52, "ordinal_position": 53}, {"identifier": "I13", "position": [17, 3], "step": 53, "ordinal_position": 54}, {"identifier": "M09", "position": [18, 3], "step": 54, "ordinal_position": 55}, {"identifier": "I04", "position": [19, 3], "step": 55, "ordinal_position": 56}, {"identifier": "X17", "position": [19, 4], "step": 56, "ordinal_position": 57}, {"identifier": "N92", "position": [19, 5], "step": 57, "ordinal_position": 58}, {"identifier": "T76", "position": [19, 6], "step": 58, "ordinal_position": 59}, {"identifier": "O35", "position": [19, 7], "step": 59, "ordinal_position": 60}, {"identifier": "F16", "position": [18, 7], "step": 60, "ordinal_position": 61}, {"identifier": "K05", "position": [17, 7], "step": 61, "ordinal_position": 62}, {"identifier": "W49", "position": [17, 6], "step": 62, "ordinal_position": 63}, {"identifier": "Z19", "position": [17, 5], "step": 63, "ordinal_position": 64}, {"identifier": "Z05", "position": [16, 5], "step": 64, "ordinal_position": 65}, {"identifier": "U21", "position": [15, 5], "step": 65, "ordinal_position": 66}, {"identifier": "G55", "position": [14, 5], "step": 66, "ordinal_position": 67}, {"identifier": "H83", "position": [13, 5], "step": 67, "ordinal_position": 68}, {"identifier": "X09", "position": [13, 4], "step": 68, "ordinal_position": 69}, {"identifier": "H03", "position": [13, 3], "step": 69, "ordinal_position": 70}, {"identifier": "B49", "position": [14, 3], "step": 70, "ordinal_position": 71}, {"identifier": "F46", "position": [15, 3], "step": 71, "ordinal_position": 72}, {"identifier": "J97", "position": [16, 3], "step": 72, "ordinal_position": 73}, {"identifier": "I13", "position": [17, 3], "step": 73, "ordinal_position": 74}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 74, "direction": "right", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_005.json"}} {"qa_id": "a65c902371ae4f8faed21472fd60139c", "image_id": "L3-MazeLoop-test_21x21_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F16, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 32nd position in this traversal?", "start_object_id": "F16", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [32], "ordinal_strings": ["32nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "F46", "traversal_path": [{"identifier": "F16", "position": [18, 7], "step": 0, "ordinal_position": 1}, {"identifier": "K05", "position": [17, 7], "step": 1, "ordinal_position": 2}, {"identifier": "W49", "position": [17, 6], "step": 2, "ordinal_position": 3}, {"identifier": "Z19", "position": [17, 5], "step": 3, "ordinal_position": 4}, {"identifier": "Z05", "position": [16, 5], "step": 4, "ordinal_position": 5}, {"identifier": "U21", "position": [15, 5], "step": 5, "ordinal_position": 6}, {"identifier": "G55", "position": [14, 5], "step": 6, "ordinal_position": 7}, {"identifier": "H83", "position": [13, 5], "step": 7, "ordinal_position": 8}, {"identifier": "X09", "position": [13, 4], "step": 8, "ordinal_position": 9}, {"identifier": "H03", "position": [13, 3], "step": 9, "ordinal_position": 10}, {"identifier": "B49", "position": [14, 3], "step": 10, "ordinal_position": 11}, {"identifier": "F46", "position": [15, 3], "step": 11, "ordinal_position": 12}, {"identifier": "J97", "position": [16, 3], "step": 12, "ordinal_position": 13}, {"identifier": "I13", "position": [17, 3], "step": 13, "ordinal_position": 14}, {"identifier": "M09", "position": [18, 3], "step": 14, "ordinal_position": 15}, {"identifier": "I04", "position": [19, 3], "step": 15, "ordinal_position": 16}, {"identifier": "X17", "position": [19, 4], "step": 16, "ordinal_position": 17}, {"identifier": "N92", "position": [19, 5], "step": 17, "ordinal_position": 18}, {"identifier": "T76", "position": [19, 6], "step": 18, "ordinal_position": 19}, {"identifier": "O35", "position": [19, 7], "step": 19, "ordinal_position": 20}, {"identifier": "F16", "position": [18, 7], "step": 20, "ordinal_position": 21}, {"identifier": "K05", "position": [17, 7], "step": 21, "ordinal_position": 22}, {"identifier": "W49", "position": [17, 6], "step": 22, "ordinal_position": 23}, {"identifier": "Z19", "position": [17, 5], "step": 23, "ordinal_position": 24}, {"identifier": "Z05", "position": [16, 5], "step": 24, "ordinal_position": 25}, {"identifier": "U21", "position": [15, 5], "step": 25, "ordinal_position": 26}, {"identifier": "G55", "position": [14, 5], "step": 26, "ordinal_position": 27}, {"identifier": "H83", "position": [13, 5], "step": 27, "ordinal_position": 28}, {"identifier": "X09", "position": [13, 4], "step": 28, "ordinal_position": 29}, {"identifier": "H03", "position": [13, 3], "step": 29, "ordinal_position": 30}, {"identifier": "B49", "position": [14, 3], "step": 30, "ordinal_position": 31}, {"identifier": "F46", "position": [15, 3], "step": 31, "ordinal_position": 32}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 32, "direction": "left", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_005.json"}} {"qa_id": "1b0f2c5cbb22414bb48415c2164cd3ec", "image_id": "L3-MazeLoop-test_21x21_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U14, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 39th position in this traversal?", "start_object_id": "U14", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [39], "ordinal_strings": ["39th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "D72", "traversal_path": [{"identifier": "U14", "position": [19, 18], "step": 0, "ordinal_position": 1}, {"identifier": "F29", "position": [19, 19], "step": 1, "ordinal_position": 2}, {"identifier": "A80", "position": [18, 19], "step": 2, "ordinal_position": 3}, {"identifier": "T35", "position": [17, 19], "step": 3, "ordinal_position": 4}, {"identifier": "U32", "position": [16, 19], "step": 4, "ordinal_position": 5}, {"identifier": "T04", "position": [15, 19], "step": 5, "ordinal_position": 6}, {"identifier": "Y19", "position": [14, 19], "step": 6, "ordinal_position": 7}, {"identifier": "B47", "position": [13, 19], "step": 7, "ordinal_position": 8}, {"identifier": "F84", "position": [12, 19], "step": 8, "ordinal_position": 9}, {"identifier": "E42", "position": [11, 19], "step": 9, "ordinal_position": 10}, {"identifier": "T05", "position": [10, 19], "step": 10, "ordinal_position": 11}, {"identifier": "I97", "position": [9, 19], "step": 11, "ordinal_position": 12}, {"identifier": "T73", "position": [8, 19], "step": 12, "ordinal_position": 13}, {"identifier": "M43", "position": [7, 19], "step": 13, "ordinal_position": 14}, {"identifier": "R59", "position": [7, 18], "step": 14, "ordinal_position": 15}, {"identifier": "O40", "position": [7, 17], "step": 15, "ordinal_position": 16}, {"identifier": "N90", "position": [6, 17], "step": 16, "ordinal_position": 17}, {"identifier": "M73", "position": [5, 17], "step": 17, "ordinal_position": 18}, {"identifier": "J26", "position": [4, 17], "step": 18, "ordinal_position": 19}, {"identifier": "H43", "position": [3, 17], "step": 19, "ordinal_position": 20}, {"identifier": "P57", "position": [3, 16], "step": 20, "ordinal_position": 21}, {"identifier": "B13", "position": [3, 15], "step": 21, "ordinal_position": 22}, {"identifier": "R51", "position": [3, 14], "step": 22, "ordinal_position": 23}, {"identifier": "E53", "position": [3, 13], "step": 23, "ordinal_position": 24}, {"identifier": "C94", "position": [3, 12], "step": 24, "ordinal_position": 25}, {"identifier": "Q76", "position": [3, 11], "step": 25, "ordinal_position": 26}, {"identifier": "Y17", "position": [4, 11], "step": 26, "ordinal_position": 27}, {"identifier": "Y92", "position": [5, 11], "step": 27, "ordinal_position": 28}, {"identifier": "Z84", "position": [5, 12], "step": 28, "ordinal_position": 29}, {"identifier": "J27", "position": [5, 13], "step": 29, "ordinal_position": 30}, {"identifier": "M39", "position": [5, 14], "step": 30, "ordinal_position": 31}, {"identifier": "K28", "position": [5, 15], "step": 31, "ordinal_position": 32}, {"identifier": "R23", "position": [6, 15], "step": 32, "ordinal_position": 33}, {"identifier": "J74", "position": [7, 15], "step": 33, "ordinal_position": 34}, {"identifier": "F42", "position": [8, 15], "step": 34, "ordinal_position": 35}, {"identifier": "U38", "position": [9, 15], "step": 35, "ordinal_position": 36}, {"identifier": "L93", "position": [9, 16], "step": 36, "ordinal_position": 37}, {"identifier": "D88", "position": [9, 17], "step": 37, "ordinal_position": 38}, {"identifier": "D72", "position": [10, 17], "step": 38, "ordinal_position": 39}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 39, "direction": "down", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_005.json"}} {"qa_id": "c2dca137eef1455a9c446ef3c3e9e4f8", "image_id": "L3-MazeLoop-test_21x21_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W52, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 206th position in this traversal?", "start_object_id": "W52", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [206], "ordinal_strings": ["206th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "B49", "traversal_path": [{"identifier": "W52", "position": [11, 1], "step": 0, "ordinal_position": 1}, {"identifier": "P13", "position": [12, 1], "step": 1, "ordinal_position": 2}, {"identifier": "R06", "position": [13, 1], "step": 2, "ordinal_position": 3}, {"identifier": "M14", "position": [14, 1], "step": 3, "ordinal_position": 4}, {"identifier": "N07", "position": [15, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Z78", "position": [16, 1], "step": 5, "ordinal_position": 6}, {"identifier": "V81", "position": [17, 1], "step": 6, "ordinal_position": 7}, {"identifier": "X79", "position": [18, 1], "step": 7, "ordinal_position": 8}, {"identifier": "A11", "position": [19, 1], "step": 8, "ordinal_position": 9}, {"identifier": "N69", "position": [19, 2], "step": 9, "ordinal_position": 10}, {"identifier": "I04", "position": [19, 3], "step": 10, "ordinal_position": 11}, {"identifier": "X17", "position": [19, 4], "step": 11, "ordinal_position": 12}, {"identifier": "N92", "position": [19, 5], "step": 12, "ordinal_position": 13}, {"identifier": "T76", "position": [19, 6], "step": 13, "ordinal_position": 14}, {"identifier": "O35", "position": [19, 7], "step": 14, "ordinal_position": 15}, {"identifier": "F16", "position": [18, 7], "step": 15, "ordinal_position": 16}, {"identifier": "K05", "position": [17, 7], "step": 16, "ordinal_position": 17}, {"identifier": "W49", "position": [17, 6], "step": 17, "ordinal_position": 18}, {"identifier": "Z19", "position": [17, 5], "step": 18, "ordinal_position": 19}, {"identifier": "Z05", "position": [16, 5], "step": 19, "ordinal_position": 20}, {"identifier": "U21", "position": [15, 5], "step": 20, "ordinal_position": 21}, {"identifier": "G55", "position": [14, 5], "step": 21, "ordinal_position": 22}, {"identifier": "H83", "position": [13, 5], "step": 22, "ordinal_position": 23}, {"identifier": "X09", "position": [13, 4], "step": 23, "ordinal_position": 24}, {"identifier": "H03", "position": [13, 3], "step": 24, "ordinal_position": 25}, {"identifier": "B49", "position": [14, 3], "step": 25, "ordinal_position": 26}, {"identifier": "F46", "position": [15, 3], "step": 26, "ordinal_position": 27}, {"identifier": "J97", "position": [16, 3], "step": 27, "ordinal_position": 28}, {"identifier": "I13", "position": [17, 3], "step": 28, "ordinal_position": 29}, {"identifier": "M09", "position": [18, 3], "step": 29, "ordinal_position": 30}, {"identifier": "I04", "position": [19, 3], "step": 30, "ordinal_position": 31}, {"identifier": "X17", "position": [19, 4], "step": 31, "ordinal_position": 32}, {"identifier": "N92", "position": [19, 5], "step": 32, "ordinal_position": 33}, {"identifier": "T76", "position": [19, 6], "step": 33, "ordinal_position": 34}, {"identifier": "O35", "position": [19, 7], "step": 34, "ordinal_position": 35}, {"identifier": "F16", "position": [18, 7], "step": 35, "ordinal_position": 36}, {"identifier": "K05", "position": [17, 7], "step": 36, "ordinal_position": 37}, {"identifier": "W49", "position": [17, 6], "step": 37, "ordinal_position": 38}, {"identifier": "Z19", "position": [17, 5], "step": 38, "ordinal_position": 39}, {"identifier": "Z05", "position": [16, 5], "step": 39, "ordinal_position": 40}, {"identifier": "U21", "position": [15, 5], "step": 40, "ordinal_position": 41}, {"identifier": "G55", "position": [14, 5], "step": 41, "ordinal_position": 42}, {"identifier": "H83", "position": [13, 5], "step": 42, "ordinal_position": 43}, {"identifier": "X09", "position": [13, 4], "step": 43, "ordinal_position": 44}, {"identifier": "H03", "position": [13, 3], "step": 44, "ordinal_position": 45}, {"identifier": "B49", "position": [14, 3], "step": 45, "ordinal_position": 46}, {"identifier": "F46", "position": [15, 3], "step": 46, "ordinal_position": 47}, {"identifier": "J97", "position": [16, 3], "step": 47, "ordinal_position": 48}, {"identifier": "I13", "position": [17, 3], "step": 48, "ordinal_position": 49}, {"identifier": "M09", "position": [18, 3], "step": 49, "ordinal_position": 50}, {"identifier": "I04", "position": [19, 3], "step": 50, "ordinal_position": 51}, {"identifier": "X17", "position": [19, 4], "step": 51, "ordinal_position": 52}, {"identifier": "N92", "position": [19, 5], "step": 52, "ordinal_position": 53}, {"identifier": "T76", "position": [19, 6], "step": 53, "ordinal_position": 54}, {"identifier": "O35", "position": [19, 7], "step": 54, "ordinal_position": 55}, {"identifier": "F16", "position": [18, 7], "step": 55, "ordinal_position": 56}, {"identifier": "K05", "position": [17, 7], "step": 56, "ordinal_position": 57}, {"identifier": "W49", "position": [17, 6], "step": 57, "ordinal_position": 58}, {"identifier": "Z19", "position": [17, 5], "step": 58, "ordinal_position": 59}, {"identifier": "Z05", "position": [16, 5], "step": 59, "ordinal_position": 60}, {"identifier": "U21", "position": [15, 5], "step": 60, "ordinal_position": 61}, {"identifier": "G55", "position": [14, 5], "step": 61, "ordinal_position": 62}, {"identifier": "H83", "position": [13, 5], "step": 62, "ordinal_position": 63}, {"identifier": "X09", "position": [13, 4], "step": 63, "ordinal_position": 64}, {"identifier": "H03", "position": [13, 3], "step": 64, "ordinal_position": 65}, {"identifier": "B49", "position": [14, 3], "step": 65, "ordinal_position": 66}, {"identifier": "F46", "position": [15, 3], "step": 66, "ordinal_position": 67}, {"identifier": "J97", "position": [16, 3], "step": 67, "ordinal_position": 68}, {"identifier": "I13", "position": [17, 3], "step": 68, "ordinal_position": 69}, {"identifier": "M09", "position": [18, 3], "step": 69, "ordinal_position": 70}, {"identifier": "I04", "position": [19, 3], "step": 70, "ordinal_position": 71}, {"identifier": "X17", "position": [19, 4], "step": 71, "ordinal_position": 72}, {"identifier": "N92", "position": [19, 5], "step": 72, "ordinal_position": 73}, {"identifier": "T76", "position": [19, 6], "step": 73, "ordinal_position": 74}, {"identifier": "O35", "position": [19, 7], "step": 74, "ordinal_position": 75}, {"identifier": "F16", "position": [18, 7], "step": 75, "ordinal_position": 76}, {"identifier": "K05", "position": [17, 7], "step": 76, "ordinal_position": 77}, {"identifier": "W49", "position": [17, 6], "step": 77, "ordinal_position": 78}, {"identifier": "Z19", "position": [17, 5], "step": 78, "ordinal_position": 79}, {"identifier": "Z05", "position": [16, 5], "step": 79, "ordinal_position": 80}, {"identifier": "U21", "position": [15, 5], "step": 80, "ordinal_position": 81}, {"identifier": "G55", "position": [14, 5], "step": 81, "ordinal_position": 82}, {"identifier": "H83", "position": [13, 5], "step": 82, "ordinal_position": 83}, {"identifier": "X09", "position": [13, 4], "step": 83, "ordinal_position": 84}, {"identifier": "H03", "position": [13, 3], "step": 84, "ordinal_position": 85}, {"identifier": "B49", "position": [14, 3], "step": 85, "ordinal_position": 86}, {"identifier": "F46", "position": [15, 3], "step": 86, "ordinal_position": 87}, {"identifier": "J97", "position": [16, 3], "step": 87, "ordinal_position": 88}, {"identifier": "I13", "position": [17, 3], "step": 88, "ordinal_position": 89}, {"identifier": "M09", "position": [18, 3], "step": 89, "ordinal_position": 90}, {"identifier": "I04", "position": [19, 3], "step": 90, "ordinal_position": 91}, {"identifier": "X17", "position": [19, 4], "step": 91, "ordinal_position": 92}, {"identifier": "N92", "position": [19, 5], "step": 92, "ordinal_position": 93}, {"identifier": "T76", "position": [19, 6], "step": 93, "ordinal_position": 94}, {"identifier": "O35", "position": [19, 7], "step": 94, "ordinal_position": 95}, {"identifier": "F16", "position": [18, 7], "step": 95, "ordinal_position": 96}, {"identifier": "K05", "position": [17, 7], "step": 96, "ordinal_position": 97}, {"identifier": "W49", "position": [17, 6], "step": 97, "ordinal_position": 98}, {"identifier": "Z19", "position": [17, 5], "step": 98, "ordinal_position": 99}, {"identifier": "Z05", "position": [16, 5], "step": 99, "ordinal_position": 100}, {"identifier": "U21", "position": [15, 5], "step": 100, "ordinal_position": 101}, {"identifier": "G55", "position": [14, 5], "step": 101, "ordinal_position": 102}, {"identifier": "H83", "position": [13, 5], "step": 102, "ordinal_position": 103}, {"identifier": "X09", "position": [13, 4], "step": 103, "ordinal_position": 104}, {"identifier": "H03", "position": [13, 3], "step": 104, "ordinal_position": 105}, {"identifier": "B49", "position": [14, 3], "step": 105, "ordinal_position": 106}, {"identifier": "F46", "position": [15, 3], "step": 106, "ordinal_position": 107}, {"identifier": "J97", "position": [16, 3], "step": 107, "ordinal_position": 108}, {"identifier": "I13", "position": [17, 3], "step": 108, "ordinal_position": 109}, {"identifier": "M09", "position": [18, 3], "step": 109, "ordinal_position": 110}, {"identifier": "I04", "position": [19, 3], "step": 110, "ordinal_position": 111}, {"identifier": "X17", "position": [19, 4], "step": 111, "ordinal_position": 112}, {"identifier": "N92", "position": [19, 5], "step": 112, "ordinal_position": 113}, {"identifier": "T76", "position": [19, 6], "step": 113, "ordinal_position": 114}, {"identifier": "O35", "position": [19, 7], "step": 114, "ordinal_position": 115}, {"identifier": "F16", "position": [18, 7], "step": 115, "ordinal_position": 116}, {"identifier": "K05", "position": [17, 7], "step": 116, "ordinal_position": 117}, {"identifier": "W49", "position": [17, 6], "step": 117, "ordinal_position": 118}, {"identifier": "Z19", "position": [17, 5], "step": 118, "ordinal_position": 119}, {"identifier": "Z05", "position": [16, 5], "step": 119, "ordinal_position": 120}, {"identifier": "U21", "position": [15, 5], "step": 120, "ordinal_position": 121}, {"identifier": "G55", "position": [14, 5], "step": 121, "ordinal_position": 122}, {"identifier": "H83", "position": [13, 5], "step": 122, "ordinal_position": 123}, {"identifier": "X09", "position": [13, 4], "step": 123, "ordinal_position": 124}, {"identifier": "H03", "position": [13, 3], "step": 124, "ordinal_position": 125}, {"identifier": "B49", "position": [14, 3], "step": 125, "ordinal_position": 126}, {"identifier": "F46", "position": [15, 3], "step": 126, "ordinal_position": 127}, {"identifier": "J97", "position": [16, 3], "step": 127, "ordinal_position": 128}, {"identifier": "I13", "position": [17, 3], "step": 128, "ordinal_position": 129}, {"identifier": "M09", "position": [18, 3], "step": 129, "ordinal_position": 130}, {"identifier": "I04", "position": [19, 3], "step": 130, "ordinal_position": 131}, {"identifier": "X17", "position": [19, 4], "step": 131, "ordinal_position": 132}, {"identifier": "N92", "position": [19, 5], "step": 132, "ordinal_position": 133}, {"identifier": "T76", "position": [19, 6], "step": 133, "ordinal_position": 134}, {"identifier": "O35", "position": [19, 7], "step": 134, "ordinal_position": 135}, {"identifier": "F16", "position": [18, 7], "step": 135, "ordinal_position": 136}, {"identifier": "K05", "position": [17, 7], "step": 136, "ordinal_position": 137}, {"identifier": "W49", "position": [17, 6], "step": 137, "ordinal_position": 138}, {"identifier": "Z19", "position": [17, 5], "step": 138, "ordinal_position": 139}, {"identifier": "Z05", "position": [16, 5], "step": 139, "ordinal_position": 140}, {"identifier": "U21", "position": [15, 5], "step": 140, "ordinal_position": 141}, {"identifier": "G55", "position": [14, 5], "step": 141, "ordinal_position": 142}, {"identifier": "H83", "position": [13, 5], "step": 142, "ordinal_position": 143}, {"identifier": "X09", "position": [13, 4], "step": 143, "ordinal_position": 144}, {"identifier": "H03", "position": [13, 3], "step": 144, "ordinal_position": 145}, {"identifier": "B49", "position": [14, 3], "step": 145, "ordinal_position": 146}, {"identifier": "F46", "position": [15, 3], "step": 146, "ordinal_position": 147}, {"identifier": "J97", "position": [16, 3], "step": 147, "ordinal_position": 148}, {"identifier": "I13", "position": [17, 3], "step": 148, "ordinal_position": 149}, {"identifier": "M09", "position": [18, 3], "step": 149, "ordinal_position": 150}, {"identifier": "I04", "position": [19, 3], "step": 150, "ordinal_position": 151}, {"identifier": "X17", "position": [19, 4], "step": 151, "ordinal_position": 152}, {"identifier": "N92", "position": [19, 5], "step": 152, "ordinal_position": 153}, {"identifier": "T76", "position": [19, 6], "step": 153, "ordinal_position": 154}, {"identifier": "O35", "position": [19, 7], "step": 154, "ordinal_position": 155}, {"identifier": "F16", "position": [18, 7], "step": 155, "ordinal_position": 156}, {"identifier": "K05", "position": [17, 7], "step": 156, "ordinal_position": 157}, {"identifier": "W49", "position": [17, 6], "step": 157, "ordinal_position": 158}, {"identifier": "Z19", "position": [17, 5], "step": 158, "ordinal_position": 159}, {"identifier": "Z05", "position": [16, 5], "step": 159, "ordinal_position": 160}, {"identifier": "U21", "position": [15, 5], "step": 160, "ordinal_position": 161}, {"identifier": "G55", "position": [14, 5], "step": 161, "ordinal_position": 162}, {"identifier": "H83", "position": [13, 5], "step": 162, "ordinal_position": 163}, {"identifier": "X09", "position": [13, 4], "step": 163, "ordinal_position": 164}, {"identifier": "H03", "position": [13, 3], "step": 164, "ordinal_position": 165}, {"identifier": "B49", "position": [14, 3], "step": 165, "ordinal_position": 166}, {"identifier": "F46", "position": [15, 3], "step": 166, "ordinal_position": 167}, {"identifier": "J97", "position": [16, 3], "step": 167, "ordinal_position": 168}, {"identifier": "I13", "position": [17, 3], "step": 168, "ordinal_position": 169}, {"identifier": "M09", "position": [18, 3], "step": 169, "ordinal_position": 170}, {"identifier": "I04", "position": [19, 3], "step": 170, "ordinal_position": 171}, {"identifier": "X17", "position": [19, 4], "step": 171, "ordinal_position": 172}, {"identifier": "N92", "position": [19, 5], "step": 172, "ordinal_position": 173}, {"identifier": "T76", "position": [19, 6], "step": 173, "ordinal_position": 174}, {"identifier": "O35", "position": [19, 7], "step": 174, "ordinal_position": 175}, {"identifier": "F16", "position": [18, 7], "step": 175, "ordinal_position": 176}, {"identifier": "K05", "position": [17, 7], "step": 176, "ordinal_position": 177}, {"identifier": "W49", "position": [17, 6], "step": 177, "ordinal_position": 178}, {"identifier": "Z19", "position": [17, 5], "step": 178, "ordinal_position": 179}, {"identifier": "Z05", "position": [16, 5], "step": 179, "ordinal_position": 180}, {"identifier": "U21", "position": [15, 5], "step": 180, "ordinal_position": 181}, {"identifier": "G55", "position": [14, 5], "step": 181, "ordinal_position": 182}, {"identifier": "H83", "position": [13, 5], "step": 182, "ordinal_position": 183}, {"identifier": "X09", "position": [13, 4], "step": 183, "ordinal_position": 184}, {"identifier": "H03", "position": [13, 3], "step": 184, "ordinal_position": 185}, {"identifier": "B49", "position": [14, 3], "step": 185, "ordinal_position": 186}, {"identifier": "F46", "position": [15, 3], "step": 186, "ordinal_position": 187}, {"identifier": "J97", "position": [16, 3], "step": 187, "ordinal_position": 188}, {"identifier": "I13", "position": [17, 3], "step": 188, "ordinal_position": 189}, {"identifier": "M09", "position": [18, 3], "step": 189, "ordinal_position": 190}, {"identifier": "I04", "position": [19, 3], "step": 190, "ordinal_position": 191}, {"identifier": "X17", "position": [19, 4], "step": 191, "ordinal_position": 192}, {"identifier": "N92", "position": [19, 5], "step": 192, "ordinal_position": 193}, {"identifier": "T76", "position": [19, 6], "step": 193, "ordinal_position": 194}, {"identifier": "O35", "position": [19, 7], "step": 194, "ordinal_position": 195}, {"identifier": "F16", "position": [18, 7], "step": 195, "ordinal_position": 196}, {"identifier": "K05", "position": [17, 7], "step": 196, "ordinal_position": 197}, {"identifier": "W49", "position": [17, 6], "step": 197, "ordinal_position": 198}, {"identifier": "Z19", "position": [17, 5], "step": 198, "ordinal_position": 199}, {"identifier": "Z05", "position": [16, 5], "step": 199, "ordinal_position": 200}, {"identifier": "U21", "position": [15, 5], "step": 200, "ordinal_position": 201}, {"identifier": "G55", "position": [14, 5], "step": 201, "ordinal_position": 202}, {"identifier": "H83", "position": [13, 5], "step": 202, "ordinal_position": 203}, {"identifier": "X09", "position": [13, 4], "step": 203, "ordinal_position": 204}, {"identifier": "H03", "position": [13, 3], "step": 204, "ordinal_position": 205}, {"identifier": "B49", "position": [14, 3], "step": 205, "ordinal_position": 206}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 206, "direction": "right", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_005.json"}} {"qa_id": "6d1942b0a36a470389838071eefa0225", "image_id": "L3-MazeLoop-test_21x21_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L73, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 108th position in this traversal?", "start_object_id": "L73", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [108], "ordinal_strings": ["108th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "H83", "traversal_path": [{"identifier": "L73", "position": [14, 13], "step": 0, "ordinal_position": 1}, {"identifier": "R16", "position": [15, 13], "step": 1, "ordinal_position": 2}, {"identifier": "G42", "position": [15, 14], "step": 2, "ordinal_position": 3}, {"identifier": "A97", "position": [15, 15], "step": 3, "ordinal_position": 4}, {"identifier": "Q07", "position": [15, 16], "step": 4, "ordinal_position": 5}, {"identifier": "Z56", "position": [15, 17], "step": 5, "ordinal_position": 6}, {"identifier": "N76", "position": [14, 17], "step": 6, "ordinal_position": 7}, {"identifier": "W09", "position": [13, 17], "step": 7, "ordinal_position": 8}, {"identifier": "R01", "position": [12, 17], "step": 8, "ordinal_position": 9}, {"identifier": "Y90", "position": [11, 17], "step": 9, "ordinal_position": 10}, {"identifier": "D72", "position": [10, 17], "step": 10, "ordinal_position": 11}, {"identifier": "D88", "position": [9, 17], "step": 11, "ordinal_position": 12}, {"identifier": "L93", "position": [9, 16], "step": 12, "ordinal_position": 13}, {"identifier": "U38", "position": [9, 15], "step": 13, "ordinal_position": 14}, {"identifier": "F42", "position": [8, 15], "step": 14, "ordinal_position": 15}, {"identifier": "J74", "position": [7, 15], "step": 15, "ordinal_position": 16}, {"identifier": "R23", "position": [6, 15], "step": 16, "ordinal_position": 17}, {"identifier": "K28", "position": [5, 15], "step": 17, "ordinal_position": 18}, {"identifier": "M39", "position": [5, 14], "step": 18, "ordinal_position": 19}, {"identifier": "J27", "position": [5, 13], "step": 19, "ordinal_position": 20}, {"identifier": "Z84", "position": [5, 12], "step": 20, "ordinal_position": 21}, {"identifier": "Y92", "position": [5, 11], "step": 21, "ordinal_position": 22}, {"identifier": "M32", "position": [5, 10], "step": 22, "ordinal_position": 23}, {"identifier": "G77", "position": [5, 9], "step": 23, "ordinal_position": 24}, {"identifier": "S16", "position": [4, 9], "step": 24, "ordinal_position": 25}, {"identifier": "Z26", "position": [3, 9], "step": 25, "ordinal_position": 26}, {"identifier": "V68", "position": [2, 9], "step": 26, "ordinal_position": 27}, {"identifier": "O24", "position": [1, 9], "step": 27, "ordinal_position": 28}, {"identifier": "S42", "position": [1, 8], "step": 28, "ordinal_position": 29}, {"identifier": "W95", "position": [1, 7], "step": 29, "ordinal_position": 30}, {"identifier": "Q79", "position": [1, 6], "step": 30, "ordinal_position": 31}, {"identifier": "M59", "position": [1, 5], "step": 31, "ordinal_position": 32}, {"identifier": "Z54", "position": [1, 4], "step": 32, "ordinal_position": 33}, {"identifier": "X11", "position": [1, 3], "step": 33, "ordinal_position": 34}, {"identifier": "W41", "position": [1, 2], "step": 34, "ordinal_position": 35}, {"identifier": "B09", "position": [1, 1], "step": 35, "ordinal_position": 36}, {"identifier": "V70", "position": [2, 1], "step": 36, "ordinal_position": 37}, {"identifier": "O92", "position": [3, 1], "step": 37, "ordinal_position": 38}, {"identifier": "A59", "position": [4, 1], "step": 38, "ordinal_position": 39}, {"identifier": "K64", "position": [5, 1], "step": 39, "ordinal_position": 40}, {"identifier": "K96", "position": [6, 1], "step": 40, "ordinal_position": 41}, {"identifier": "Q60", "position": [7, 1], "step": 41, "ordinal_position": 42}, {"identifier": "R72", "position": [8, 1], "step": 42, "ordinal_position": 43}, {"identifier": "M99", "position": [9, 1], "step": 43, "ordinal_position": 44}, {"identifier": "H40", "position": [10, 1], "step": 44, "ordinal_position": 45}, {"identifier": "W52", "position": [11, 1], "step": 45, "ordinal_position": 46}, {"identifier": "P13", "position": [12, 1], "step": 46, "ordinal_position": 47}, {"identifier": "R06", "position": [13, 1], "step": 47, "ordinal_position": 48}, {"identifier": "M14", "position": [14, 1], "step": 48, "ordinal_position": 49}, {"identifier": "N07", "position": [15, 1], "step": 49, "ordinal_position": 50}, {"identifier": "Z78", "position": [16, 1], "step": 50, "ordinal_position": 51}, {"identifier": "V81", "position": [17, 1], "step": 51, "ordinal_position": 52}, {"identifier": "X79", "position": [18, 1], "step": 52, "ordinal_position": 53}, {"identifier": "A11", "position": [19, 1], "step": 53, "ordinal_position": 54}, {"identifier": "N69", "position": [19, 2], "step": 54, "ordinal_position": 55}, {"identifier": "I04", "position": [19, 3], "step": 55, "ordinal_position": 56}, {"identifier": "X17", "position": [19, 4], "step": 56, "ordinal_position": 57}, {"identifier": "N92", "position": [19, 5], "step": 57, "ordinal_position": 58}, {"identifier": "T76", "position": [19, 6], "step": 58, "ordinal_position": 59}, {"identifier": "O35", "position": [19, 7], "step": 59, "ordinal_position": 60}, {"identifier": "F16", "position": [18, 7], "step": 60, "ordinal_position": 61}, {"identifier": "K05", "position": [17, 7], "step": 61, "ordinal_position": 62}, {"identifier": "W49", "position": [17, 6], "step": 62, "ordinal_position": 63}, {"identifier": "Z19", "position": [17, 5], "step": 63, "ordinal_position": 64}, {"identifier": "Z05", "position": [16, 5], "step": 64, "ordinal_position": 65}, {"identifier": "U21", "position": [15, 5], "step": 65, "ordinal_position": 66}, {"identifier": "G55", "position": [14, 5], "step": 66, "ordinal_position": 67}, {"identifier": "H83", "position": [13, 5], "step": 67, "ordinal_position": 68}, {"identifier": "X09", "position": [13, 4], "step": 68, "ordinal_position": 69}, {"identifier": "H03", "position": [13, 3], "step": 69, "ordinal_position": 70}, {"identifier": "B49", "position": [14, 3], "step": 70, "ordinal_position": 71}, {"identifier": "F46", "position": [15, 3], "step": 71, "ordinal_position": 72}, {"identifier": "J97", "position": [16, 3], "step": 72, "ordinal_position": 73}, {"identifier": "I13", "position": [17, 3], "step": 73, "ordinal_position": 74}, {"identifier": "M09", "position": [18, 3], "step": 74, "ordinal_position": 75}, {"identifier": "I04", "position": [19, 3], "step": 75, "ordinal_position": 76}, {"identifier": "X17", "position": [19, 4], "step": 76, "ordinal_position": 77}, {"identifier": "N92", "position": [19, 5], "step": 77, "ordinal_position": 78}, {"identifier": "T76", "position": [19, 6], "step": 78, "ordinal_position": 79}, {"identifier": "O35", "position": [19, 7], "step": 79, "ordinal_position": 80}, {"identifier": "F16", "position": [18, 7], "step": 80, "ordinal_position": 81}, {"identifier": "K05", "position": [17, 7], "step": 81, "ordinal_position": 82}, {"identifier": "W49", "position": [17, 6], "step": 82, "ordinal_position": 83}, {"identifier": "Z19", "position": [17, 5], "step": 83, "ordinal_position": 84}, {"identifier": "Z05", "position": [16, 5], "step": 84, "ordinal_position": 85}, {"identifier": "U21", "position": [15, 5], "step": 85, "ordinal_position": 86}, {"identifier": "G55", "position": [14, 5], "step": 86, "ordinal_position": 87}, {"identifier": "H83", "position": [13, 5], "step": 87, "ordinal_position": 88}, {"identifier": "X09", "position": [13, 4], "step": 88, "ordinal_position": 89}, {"identifier": "H03", "position": [13, 3], "step": 89, "ordinal_position": 90}, {"identifier": "B49", "position": [14, 3], "step": 90, "ordinal_position": 91}, {"identifier": "F46", "position": [15, 3], "step": 91, "ordinal_position": 92}, {"identifier": "J97", "position": [16, 3], "step": 92, "ordinal_position": 93}, {"identifier": "I13", "position": [17, 3], "step": 93, "ordinal_position": 94}, {"identifier": "M09", "position": [18, 3], "step": 94, "ordinal_position": 95}, {"identifier": "I04", "position": [19, 3], "step": 95, "ordinal_position": 96}, {"identifier": "X17", "position": [19, 4], "step": 96, "ordinal_position": 97}, {"identifier": "N92", "position": [19, 5], "step": 97, "ordinal_position": 98}, {"identifier": "T76", "position": [19, 6], "step": 98, "ordinal_position": 99}, {"identifier": "O35", "position": [19, 7], "step": 99, "ordinal_position": 100}, {"identifier": "F16", "position": [18, 7], "step": 100, "ordinal_position": 101}, {"identifier": "K05", "position": [17, 7], "step": 101, "ordinal_position": 102}, {"identifier": "W49", "position": [17, 6], "step": 102, "ordinal_position": 103}, {"identifier": "Z19", "position": [17, 5], "step": 103, "ordinal_position": 104}, {"identifier": "Z05", "position": [16, 5], "step": 104, "ordinal_position": 105}, {"identifier": "U21", "position": [15, 5], "step": 105, "ordinal_position": 106}, {"identifier": "G55", "position": [14, 5], "step": 106, "ordinal_position": 107}, {"identifier": "H83", "position": [13, 5], "step": 107, "ordinal_position": 108}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 108, "direction": "right", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_005.json"}} {"qa_id": "b914d38158c5477f949025038f347c23", "image_id": "L3-MazeLoop-test_21x21_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T04, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 201st position in this traversal?", "start_object_id": "T04", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [201], "ordinal_strings": ["201st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "I04", "traversal_path": [{"identifier": "T04", "position": [15, 19], "step": 0, "ordinal_position": 1}, {"identifier": "Y19", "position": [14, 19], "step": 1, "ordinal_position": 2}, {"identifier": "B47", "position": [13, 19], "step": 2, "ordinal_position": 3}, {"identifier": "F84", "position": [12, 19], "step": 3, "ordinal_position": 4}, {"identifier": "E42", "position": [11, 19], "step": 4, "ordinal_position": 5}, {"identifier": "T05", "position": [10, 19], "step": 5, "ordinal_position": 6}, {"identifier": "I97", "position": [9, 19], "step": 6, "ordinal_position": 7}, {"identifier": "T73", "position": [8, 19], "step": 7, "ordinal_position": 8}, {"identifier": "M43", "position": [7, 19], "step": 8, "ordinal_position": 9}, {"identifier": "R59", "position": [7, 18], "step": 9, "ordinal_position": 10}, {"identifier": "O40", "position": [7, 17], "step": 10, "ordinal_position": 11}, {"identifier": "N90", "position": [6, 17], "step": 11, "ordinal_position": 12}, {"identifier": "M73", "position": [5, 17], "step": 12, "ordinal_position": 13}, {"identifier": "J26", "position": [4, 17], "step": 13, "ordinal_position": 14}, {"identifier": "H43", "position": [3, 17], "step": 14, "ordinal_position": 15}, {"identifier": "P57", "position": [3, 16], "step": 15, "ordinal_position": 16}, {"identifier": "B13", "position": [3, 15], "step": 16, "ordinal_position": 17}, {"identifier": "R51", "position": [3, 14], "step": 17, "ordinal_position": 18}, {"identifier": "E53", "position": [3, 13], "step": 18, "ordinal_position": 19}, {"identifier": "C94", "position": [3, 12], "step": 19, "ordinal_position": 20}, {"identifier": "Q76", "position": [3, 11], "step": 20, "ordinal_position": 21}, {"identifier": "Y17", "position": [4, 11], "step": 21, "ordinal_position": 22}, {"identifier": "Y92", "position": [5, 11], "step": 22, "ordinal_position": 23}, {"identifier": "Z84", "position": [5, 12], "step": 23, "ordinal_position": 24}, {"identifier": "J27", "position": [5, 13], "step": 24, "ordinal_position": 25}, {"identifier": "M39", "position": [5, 14], "step": 25, "ordinal_position": 26}, {"identifier": "K28", "position": [5, 15], "step": 26, "ordinal_position": 27}, {"identifier": "R23", "position": [6, 15], "step": 27, "ordinal_position": 28}, {"identifier": "J74", "position": [7, 15], "step": 28, "ordinal_position": 29}, {"identifier": "F42", "position": [8, 15], "step": 29, "ordinal_position": 30}, {"identifier": "U38", "position": [9, 15], "step": 30, "ordinal_position": 31}, {"identifier": "L93", "position": [9, 16], "step": 31, "ordinal_position": 32}, {"identifier": "D88", "position": [9, 17], "step": 32, "ordinal_position": 33}, {"identifier": "D72", "position": [10, 17], "step": 33, "ordinal_position": 34}, {"identifier": "Y90", "position": [11, 17], "step": 34, "ordinal_position": 35}, {"identifier": "R01", "position": [12, 17], "step": 35, "ordinal_position": 36}, {"identifier": "W09", "position": [13, 17], "step": 36, "ordinal_position": 37}, {"identifier": "N76", "position": [14, 17], "step": 37, "ordinal_position": 38}, {"identifier": "Z56", "position": [15, 17], "step": 38, "ordinal_position": 39}, {"identifier": "Q07", "position": [15, 16], "step": 39, "ordinal_position": 40}, {"identifier": "A97", "position": [15, 15], "step": 40, "ordinal_position": 41}, {"identifier": "G42", "position": [15, 14], "step": 41, "ordinal_position": 42}, {"identifier": "R16", "position": [15, 13], "step": 42, "ordinal_position": 43}, {"identifier": "L73", "position": [14, 13], "step": 43, "ordinal_position": 44}, {"identifier": "X57", "position": [13, 13], "step": 44, "ordinal_position": 45}, {"identifier": "E84", "position": [12, 13], "step": 45, "ordinal_position": 46}, {"identifier": "O15", "position": [11, 13], "step": 46, "ordinal_position": 47}, {"identifier": "O38", "position": [10, 13], "step": 47, "ordinal_position": 48}, {"identifier": "X84", "position": [9, 13], "step": 48, "ordinal_position": 49}, {"identifier": "A47", "position": [9, 12], "step": 49, "ordinal_position": 50}, {"identifier": "W33", "position": [9, 11], "step": 50, "ordinal_position": 51}, {"identifier": "V22", "position": [9, 10], "step": 51, "ordinal_position": 52}, {"identifier": "G51", "position": [9, 9], "step": 52, "ordinal_position": 53}, {"identifier": "M00", "position": [10, 9], "step": 53, "ordinal_position": 54}, {"identifier": "T48", "position": [11, 9], "step": 54, "ordinal_position": 55}, {"identifier": "N33", "position": [12, 9], "step": 55, "ordinal_position": 56}, {"identifier": "Z89", "position": [13, 9], "step": 56, "ordinal_position": 57}, {"identifier": "K06", "position": [13, 10], "step": 57, "ordinal_position": 58}, {"identifier": "T42", "position": [13, 11], "step": 58, "ordinal_position": 59}, {"identifier": "K26", "position": [12, 11], "step": 59, "ordinal_position": 60}, {"identifier": "F81", "position": [11, 11], "step": 60, "ordinal_position": 61}, {"identifier": "Y02", "position": [11, 12], "step": 61, "ordinal_position": 62}, {"identifier": "O15", "position": [11, 13], "step": 62, "ordinal_position": 63}, {"identifier": "B63", "position": [11, 14], "step": 63, "ordinal_position": 64}, {"identifier": "Y73", "position": [11, 15], "step": 64, "ordinal_position": 65}, {"identifier": "H31", "position": [12, 15], "step": 65, "ordinal_position": 66}, {"identifier": "Y40", "position": [13, 15], "step": 66, "ordinal_position": 67}, {"identifier": "U16", "position": [14, 15], "step": 67, "ordinal_position": 68}, {"identifier": "A97", "position": [15, 15], "step": 68, "ordinal_position": 69}, {"identifier": "Q07", "position": [15, 16], "step": 69, "ordinal_position": 70}, {"identifier": "Z56", "position": [15, 17], "step": 70, "ordinal_position": 71}, {"identifier": "N76", "position": [14, 17], "step": 71, "ordinal_position": 72}, {"identifier": "W09", "position": [13, 17], "step": 72, "ordinal_position": 73}, {"identifier": "R01", "position": [12, 17], "step": 73, "ordinal_position": 74}, {"identifier": "Y90", "position": [11, 17], "step": 74, "ordinal_position": 75}, {"identifier": "D72", "position": [10, 17], "step": 75, "ordinal_position": 76}, {"identifier": "D88", "position": [9, 17], "step": 76, "ordinal_position": 77}, {"identifier": "L93", "position": [9, 16], "step": 77, "ordinal_position": 78}, {"identifier": "U38", "position": [9, 15], "step": 78, "ordinal_position": 79}, {"identifier": "F42", "position": [8, 15], "step": 79, "ordinal_position": 80}, {"identifier": "J74", "position": [7, 15], "step": 80, "ordinal_position": 81}, {"identifier": "R23", "position": [6, 15], "step": 81, "ordinal_position": 82}, {"identifier": "K28", "position": [5, 15], "step": 82, "ordinal_position": 83}, {"identifier": "M39", "position": [5, 14], "step": 83, "ordinal_position": 84}, {"identifier": "J27", "position": [5, 13], "step": 84, "ordinal_position": 85}, {"identifier": "Z84", "position": [5, 12], "step": 85, "ordinal_position": 86}, {"identifier": "Y92", "position": [5, 11], "step": 86, "ordinal_position": 87}, {"identifier": "M32", "position": [5, 10], "step": 87, "ordinal_position": 88}, {"identifier": "G77", "position": [5, 9], "step": 88, "ordinal_position": 89}, {"identifier": "S16", "position": [4, 9], "step": 89, "ordinal_position": 90}, {"identifier": "Z26", "position": [3, 9], "step": 90, "ordinal_position": 91}, {"identifier": "V68", "position": [2, 9], "step": 91, "ordinal_position": 92}, {"identifier": "O24", "position": [1, 9], "step": 92, "ordinal_position": 93}, {"identifier": "S42", "position": [1, 8], "step": 93, "ordinal_position": 94}, {"identifier": "W95", "position": [1, 7], "step": 94, "ordinal_position": 95}, {"identifier": "Q79", "position": [1, 6], "step": 95, "ordinal_position": 96}, {"identifier": "M59", "position": [1, 5], "step": 96, "ordinal_position": 97}, {"identifier": "Z54", "position": [1, 4], "step": 97, "ordinal_position": 98}, {"identifier": "X11", "position": [1, 3], "step": 98, "ordinal_position": 99}, {"identifier": "W41", "position": [1, 2], "step": 99, "ordinal_position": 100}, {"identifier": "B09", "position": [1, 1], "step": 100, "ordinal_position": 101}, {"identifier": "V70", "position": [2, 1], "step": 101, "ordinal_position": 102}, {"identifier": "O92", "position": [3, 1], "step": 102, "ordinal_position": 103}, {"identifier": "A59", "position": [4, 1], "step": 103, "ordinal_position": 104}, {"identifier": "K64", "position": [5, 1], "step": 104, "ordinal_position": 105}, {"identifier": "K96", "position": [6, 1], "step": 105, "ordinal_position": 106}, {"identifier": "Q60", "position": [7, 1], "step": 106, "ordinal_position": 107}, {"identifier": "R72", "position": [8, 1], "step": 107, "ordinal_position": 108}, {"identifier": "M99", "position": [9, 1], "step": 108, "ordinal_position": 109}, {"identifier": "H40", "position": [10, 1], "step": 109, "ordinal_position": 110}, {"identifier": "W52", "position": [11, 1], "step": 110, "ordinal_position": 111}, {"identifier": "P13", "position": [12, 1], "step": 111, "ordinal_position": 112}, {"identifier": "R06", "position": [13, 1], "step": 112, "ordinal_position": 113}, {"identifier": "M14", "position": [14, 1], "step": 113, "ordinal_position": 114}, {"identifier": "N07", "position": [15, 1], "step": 114, "ordinal_position": 115}, {"identifier": "Z78", "position": [16, 1], "step": 115, "ordinal_position": 116}, {"identifier": "V81", "position": [17, 1], "step": 116, "ordinal_position": 117}, {"identifier": "X79", "position": [18, 1], "step": 117, "ordinal_position": 118}, {"identifier": "A11", "position": [19, 1], "step": 118, "ordinal_position": 119}, {"identifier": "N69", "position": [19, 2], "step": 119, "ordinal_position": 120}, {"identifier": "I04", "position": [19, 3], "step": 120, "ordinal_position": 121}, {"identifier": "X17", "position": [19, 4], "step": 121, "ordinal_position": 122}, {"identifier": "N92", "position": [19, 5], "step": 122, "ordinal_position": 123}, {"identifier": "T76", "position": [19, 6], "step": 123, "ordinal_position": 124}, {"identifier": "O35", "position": [19, 7], "step": 124, "ordinal_position": 125}, {"identifier": "F16", "position": [18, 7], "step": 125, "ordinal_position": 126}, {"identifier": "K05", "position": [17, 7], "step": 126, "ordinal_position": 127}, {"identifier": "W49", "position": [17, 6], "step": 127, "ordinal_position": 128}, {"identifier": "Z19", "position": [17, 5], "step": 128, "ordinal_position": 129}, {"identifier": "Z05", "position": [16, 5], "step": 129, "ordinal_position": 130}, {"identifier": "U21", "position": [15, 5], "step": 130, "ordinal_position": 131}, {"identifier": "G55", "position": [14, 5], "step": 131, "ordinal_position": 132}, {"identifier": "H83", "position": [13, 5], "step": 132, "ordinal_position": 133}, {"identifier": "X09", "position": [13, 4], "step": 133, "ordinal_position": 134}, {"identifier": "H03", "position": [13, 3], "step": 134, "ordinal_position": 135}, {"identifier": "B49", "position": [14, 3], "step": 135, "ordinal_position": 136}, {"identifier": "F46", "position": [15, 3], "step": 136, "ordinal_position": 137}, {"identifier": "J97", "position": [16, 3], "step": 137, "ordinal_position": 138}, {"identifier": "I13", "position": [17, 3], "step": 138, "ordinal_position": 139}, {"identifier": "M09", "position": [18, 3], "step": 139, "ordinal_position": 140}, {"identifier": "I04", "position": [19, 3], "step": 140, "ordinal_position": 141}, {"identifier": "X17", "position": [19, 4], "step": 141, "ordinal_position": 142}, {"identifier": "N92", "position": [19, 5], "step": 142, "ordinal_position": 143}, {"identifier": "T76", "position": [19, 6], "step": 143, "ordinal_position": 144}, {"identifier": "O35", "position": [19, 7], "step": 144, "ordinal_position": 145}, {"identifier": "F16", "position": [18, 7], "step": 145, "ordinal_position": 146}, {"identifier": "K05", "position": [17, 7], "step": 146, "ordinal_position": 147}, {"identifier": "W49", "position": [17, 6], "step": 147, "ordinal_position": 148}, {"identifier": "Z19", "position": [17, 5], "step": 148, "ordinal_position": 149}, {"identifier": "Z05", "position": [16, 5], "step": 149, "ordinal_position": 150}, {"identifier": "U21", "position": [15, 5], "step": 150, "ordinal_position": 151}, {"identifier": "G55", "position": [14, 5], "step": 151, "ordinal_position": 152}, {"identifier": "H83", "position": [13, 5], "step": 152, "ordinal_position": 153}, {"identifier": "X09", "position": [13, 4], "step": 153, "ordinal_position": 154}, {"identifier": "H03", "position": [13, 3], "step": 154, "ordinal_position": 155}, {"identifier": "B49", "position": [14, 3], "step": 155, "ordinal_position": 156}, {"identifier": "F46", "position": [15, 3], "step": 156, "ordinal_position": 157}, {"identifier": "J97", "position": [16, 3], "step": 157, "ordinal_position": 158}, {"identifier": "I13", "position": [17, 3], "step": 158, "ordinal_position": 159}, {"identifier": "M09", "position": [18, 3], "step": 159, "ordinal_position": 160}, {"identifier": "I04", "position": [19, 3], "step": 160, "ordinal_position": 161}, {"identifier": "X17", "position": [19, 4], "step": 161, "ordinal_position": 162}, {"identifier": "N92", "position": [19, 5], "step": 162, "ordinal_position": 163}, {"identifier": "T76", "position": [19, 6], "step": 163, "ordinal_position": 164}, {"identifier": "O35", "position": [19, 7], "step": 164, "ordinal_position": 165}, {"identifier": "F16", "position": [18, 7], "step": 165, "ordinal_position": 166}, {"identifier": "K05", "position": [17, 7], "step": 166, "ordinal_position": 167}, {"identifier": "W49", "position": [17, 6], "step": 167, "ordinal_position": 168}, {"identifier": "Z19", "position": [17, 5], "step": 168, "ordinal_position": 169}, {"identifier": "Z05", "position": [16, 5], "step": 169, "ordinal_position": 170}, {"identifier": "U21", "position": [15, 5], "step": 170, "ordinal_position": 171}, {"identifier": "G55", "position": [14, 5], "step": 171, "ordinal_position": 172}, {"identifier": "H83", "position": [13, 5], "step": 172, "ordinal_position": 173}, {"identifier": "X09", "position": [13, 4], "step": 173, "ordinal_position": 174}, {"identifier": "H03", "position": [13, 3], "step": 174, "ordinal_position": 175}, {"identifier": "B49", "position": [14, 3], "step": 175, "ordinal_position": 176}, {"identifier": "F46", "position": [15, 3], "step": 176, "ordinal_position": 177}, {"identifier": "J97", "position": [16, 3], "step": 177, "ordinal_position": 178}, {"identifier": "I13", "position": [17, 3], "step": 178, "ordinal_position": 179}, {"identifier": "M09", "position": [18, 3], "step": 179, "ordinal_position": 180}, {"identifier": "I04", "position": [19, 3], "step": 180, "ordinal_position": 181}, {"identifier": "X17", "position": [19, 4], "step": 181, "ordinal_position": 182}, {"identifier": "N92", "position": [19, 5], "step": 182, "ordinal_position": 183}, {"identifier": "T76", "position": [19, 6], "step": 183, "ordinal_position": 184}, {"identifier": "O35", "position": [19, 7], "step": 184, "ordinal_position": 185}, {"identifier": "F16", "position": [18, 7], "step": 185, "ordinal_position": 186}, {"identifier": "K05", "position": [17, 7], "step": 186, "ordinal_position": 187}, {"identifier": "W49", "position": [17, 6], "step": 187, "ordinal_position": 188}, {"identifier": "Z19", "position": [17, 5], "step": 188, "ordinal_position": 189}, {"identifier": "Z05", "position": [16, 5], "step": 189, "ordinal_position": 190}, {"identifier": "U21", "position": [15, 5], "step": 190, "ordinal_position": 191}, {"identifier": "G55", "position": [14, 5], "step": 191, "ordinal_position": 192}, {"identifier": "H83", "position": [13, 5], "step": 192, "ordinal_position": 193}, {"identifier": "X09", "position": [13, 4], "step": 193, "ordinal_position": 194}, {"identifier": "H03", "position": [13, 3], "step": 194, "ordinal_position": 195}, {"identifier": "B49", "position": [14, 3], "step": 195, "ordinal_position": 196}, {"identifier": "F46", "position": [15, 3], "step": 196, "ordinal_position": 197}, {"identifier": "J97", "position": [16, 3], "step": 197, "ordinal_position": 198}, {"identifier": "I13", "position": [17, 3], "step": 198, "ordinal_position": 199}, {"identifier": "M09", "position": [18, 3], "step": 199, "ordinal_position": 200}, {"identifier": "I04", "position": [19, 3], "step": 200, "ordinal_position": 201}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 201, "direction": "left", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_005.json"}} {"qa_id": "bb6bbb9b97664a39b7fda239d67d0c82", "image_id": "L3-MazeLoop-test_21x21_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q73, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 202nd position in this traversal?", "start_object_id": "Q73", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [202], "ordinal_strings": ["202nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Z19", "traversal_path": [{"identifier": "Q73", "position": [1, 14], "step": 0, "ordinal_position": 1}, {"identifier": "B71", "position": [1, 13], "step": 1, "ordinal_position": 2}, {"identifier": "E99", "position": [1, 12], "step": 2, "ordinal_position": 3}, {"identifier": "T54", "position": [1, 11], "step": 3, "ordinal_position": 4}, {"identifier": "T31", "position": [1, 10], "step": 4, "ordinal_position": 5}, {"identifier": "O24", "position": [1, 9], "step": 5, "ordinal_position": 6}, {"identifier": "S42", "position": [1, 8], "step": 6, "ordinal_position": 7}, {"identifier": "W95", "position": [1, 7], "step": 7, "ordinal_position": 8}, {"identifier": "Q79", "position": [1, 6], "step": 8, "ordinal_position": 9}, {"identifier": "M59", "position": [1, 5], "step": 9, "ordinal_position": 10}, {"identifier": "Z54", "position": [1, 4], "step": 10, "ordinal_position": 11}, {"identifier": "X11", "position": [1, 3], "step": 11, "ordinal_position": 12}, {"identifier": "W41", "position": [1, 2], "step": 12, "ordinal_position": 13}, {"identifier": "B09", "position": [1, 1], "step": 13, "ordinal_position": 14}, {"identifier": "V70", "position": [2, 1], "step": 14, "ordinal_position": 15}, {"identifier": "O92", "position": [3, 1], "step": 15, "ordinal_position": 16}, {"identifier": "A59", "position": [4, 1], "step": 16, "ordinal_position": 17}, {"identifier": "K64", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "K96", "position": [6, 1], "step": 18, "ordinal_position": 19}, {"identifier": "Q60", "position": [7, 1], "step": 19, "ordinal_position": 20}, {"identifier": "R72", "position": [8, 1], "step": 20, "ordinal_position": 21}, {"identifier": "M99", "position": [9, 1], "step": 21, "ordinal_position": 22}, {"identifier": "H40", "position": [10, 1], "step": 22, "ordinal_position": 23}, {"identifier": "W52", "position": [11, 1], "step": 23, "ordinal_position": 24}, {"identifier": "P13", "position": [12, 1], "step": 24, "ordinal_position": 25}, {"identifier": "R06", "position": [13, 1], "step": 25, "ordinal_position": 26}, {"identifier": "M14", "position": [14, 1], "step": 26, "ordinal_position": 27}, {"identifier": "N07", "position": [15, 1], "step": 27, "ordinal_position": 28}, {"identifier": "Z78", "position": [16, 1], "step": 28, "ordinal_position": 29}, {"identifier": "V81", "position": [17, 1], "step": 29, "ordinal_position": 30}, {"identifier": "X79", "position": [18, 1], "step": 30, "ordinal_position": 31}, {"identifier": "A11", "position": [19, 1], "step": 31, "ordinal_position": 32}, {"identifier": "N69", "position": [19, 2], "step": 32, "ordinal_position": 33}, {"identifier": "I04", "position": [19, 3], "step": 33, "ordinal_position": 34}, {"identifier": "X17", "position": [19, 4], "step": 34, "ordinal_position": 35}, {"identifier": "N92", "position": [19, 5], "step": 35, "ordinal_position": 36}, {"identifier": "T76", "position": [19, 6], "step": 36, "ordinal_position": 37}, {"identifier": "O35", "position": [19, 7], "step": 37, "ordinal_position": 38}, {"identifier": "F16", "position": [18, 7], "step": 38, "ordinal_position": 39}, {"identifier": "K05", "position": [17, 7], "step": 39, "ordinal_position": 40}, {"identifier": "W49", "position": [17, 6], "step": 40, "ordinal_position": 41}, {"identifier": "Z19", "position": [17, 5], "step": 41, "ordinal_position": 42}, {"identifier": "Z05", "position": [16, 5], "step": 42, "ordinal_position": 43}, {"identifier": "U21", "position": [15, 5], "step": 43, "ordinal_position": 44}, {"identifier": "G55", "position": [14, 5], "step": 44, "ordinal_position": 45}, {"identifier": "H83", "position": [13, 5], "step": 45, "ordinal_position": 46}, {"identifier": "X09", "position": [13, 4], "step": 46, "ordinal_position": 47}, {"identifier": "H03", "position": [13, 3], "step": 47, "ordinal_position": 48}, {"identifier": "B49", "position": [14, 3], "step": 48, "ordinal_position": 49}, {"identifier": "F46", "position": [15, 3], "step": 49, "ordinal_position": 50}, {"identifier": "J97", "position": [16, 3], "step": 50, "ordinal_position": 51}, {"identifier": "I13", "position": [17, 3], "step": 51, "ordinal_position": 52}, {"identifier": "M09", "position": [18, 3], "step": 52, "ordinal_position": 53}, {"identifier": "I04", "position": [19, 3], "step": 53, "ordinal_position": 54}, {"identifier": "X17", "position": [19, 4], "step": 54, "ordinal_position": 55}, {"identifier": "N92", "position": [19, 5], "step": 55, "ordinal_position": 56}, {"identifier": "T76", "position": [19, 6], "step": 56, "ordinal_position": 57}, {"identifier": "O35", "position": [19, 7], "step": 57, "ordinal_position": 58}, {"identifier": "F16", "position": [18, 7], "step": 58, "ordinal_position": 59}, {"identifier": "K05", "position": [17, 7], "step": 59, "ordinal_position": 60}, {"identifier": "W49", "position": [17, 6], "step": 60, "ordinal_position": 61}, {"identifier": "Z19", "position": [17, 5], "step": 61, "ordinal_position": 62}, {"identifier": "Z05", "position": [16, 5], "step": 62, "ordinal_position": 63}, {"identifier": "U21", "position": [15, 5], "step": 63, "ordinal_position": 64}, {"identifier": "G55", "position": [14, 5], "step": 64, "ordinal_position": 65}, {"identifier": "H83", "position": [13, 5], "step": 65, "ordinal_position": 66}, {"identifier": "X09", "position": [13, 4], "step": 66, "ordinal_position": 67}, {"identifier": "H03", "position": [13, 3], "step": 67, "ordinal_position": 68}, {"identifier": "B49", "position": [14, 3], "step": 68, "ordinal_position": 69}, {"identifier": "F46", "position": [15, 3], "step": 69, "ordinal_position": 70}, {"identifier": "J97", "position": [16, 3], "step": 70, "ordinal_position": 71}, {"identifier": "I13", "position": [17, 3], "step": 71, "ordinal_position": 72}, {"identifier": "M09", "position": [18, 3], "step": 72, "ordinal_position": 73}, {"identifier": "I04", "position": [19, 3], "step": 73, "ordinal_position": 74}, {"identifier": "X17", "position": [19, 4], "step": 74, "ordinal_position": 75}, {"identifier": "N92", "position": [19, 5], "step": 75, "ordinal_position": 76}, {"identifier": "T76", "position": [19, 6], "step": 76, "ordinal_position": 77}, {"identifier": "O35", "position": [19, 7], "step": 77, "ordinal_position": 78}, {"identifier": "F16", "position": [18, 7], "step": 78, "ordinal_position": 79}, {"identifier": "K05", "position": [17, 7], "step": 79, "ordinal_position": 80}, {"identifier": "W49", "position": [17, 6], "step": 80, "ordinal_position": 81}, {"identifier": "Z19", "position": [17, 5], "step": 81, "ordinal_position": 82}, {"identifier": "Z05", "position": [16, 5], "step": 82, "ordinal_position": 83}, {"identifier": "U21", "position": [15, 5], "step": 83, "ordinal_position": 84}, {"identifier": "G55", "position": [14, 5], "step": 84, "ordinal_position": 85}, {"identifier": "H83", "position": [13, 5], "step": 85, "ordinal_position": 86}, {"identifier": "X09", "position": [13, 4], "step": 86, "ordinal_position": 87}, {"identifier": "H03", "position": [13, 3], "step": 87, "ordinal_position": 88}, {"identifier": "B49", "position": [14, 3], "step": 88, "ordinal_position": 89}, {"identifier": "F46", "position": [15, 3], "step": 89, "ordinal_position": 90}, {"identifier": "J97", "position": [16, 3], "step": 90, "ordinal_position": 91}, {"identifier": "I13", "position": [17, 3], "step": 91, "ordinal_position": 92}, {"identifier": "M09", "position": [18, 3], "step": 92, "ordinal_position": 93}, {"identifier": "I04", "position": [19, 3], "step": 93, "ordinal_position": 94}, {"identifier": "X17", "position": [19, 4], "step": 94, "ordinal_position": 95}, {"identifier": "N92", "position": [19, 5], "step": 95, "ordinal_position": 96}, {"identifier": "T76", "position": [19, 6], "step": 96, "ordinal_position": 97}, {"identifier": "O35", "position": [19, 7], "step": 97, "ordinal_position": 98}, {"identifier": "F16", "position": [18, 7], "step": 98, "ordinal_position": 99}, {"identifier": "K05", "position": [17, 7], "step": 99, "ordinal_position": 100}, {"identifier": "W49", "position": [17, 6], "step": 100, "ordinal_position": 101}, {"identifier": "Z19", "position": [17, 5], "step": 101, "ordinal_position": 102}, {"identifier": "Z05", "position": [16, 5], "step": 102, "ordinal_position": 103}, {"identifier": "U21", "position": [15, 5], "step": 103, "ordinal_position": 104}, {"identifier": "G55", "position": [14, 5], "step": 104, "ordinal_position": 105}, {"identifier": "H83", "position": [13, 5], "step": 105, "ordinal_position": 106}, {"identifier": "X09", "position": [13, 4], "step": 106, "ordinal_position": 107}, {"identifier": "H03", "position": [13, 3], "step": 107, "ordinal_position": 108}, {"identifier": "B49", "position": [14, 3], "step": 108, "ordinal_position": 109}, {"identifier": "F46", "position": [15, 3], "step": 109, "ordinal_position": 110}, {"identifier": "J97", "position": [16, 3], "step": 110, "ordinal_position": 111}, {"identifier": "I13", "position": [17, 3], "step": 111, "ordinal_position": 112}, {"identifier": "M09", "position": [18, 3], "step": 112, "ordinal_position": 113}, {"identifier": "I04", "position": [19, 3], "step": 113, "ordinal_position": 114}, {"identifier": "X17", "position": [19, 4], "step": 114, "ordinal_position": 115}, {"identifier": "N92", "position": [19, 5], "step": 115, "ordinal_position": 116}, {"identifier": "T76", "position": [19, 6], "step": 116, "ordinal_position": 117}, {"identifier": "O35", "position": [19, 7], "step": 117, "ordinal_position": 118}, {"identifier": "F16", "position": [18, 7], "step": 118, "ordinal_position": 119}, {"identifier": "K05", "position": [17, 7], "step": 119, "ordinal_position": 120}, {"identifier": "W49", "position": [17, 6], "step": 120, "ordinal_position": 121}, {"identifier": "Z19", "position": [17, 5], "step": 121, "ordinal_position": 122}, {"identifier": "Z05", "position": [16, 5], "step": 122, "ordinal_position": 123}, {"identifier": "U21", "position": [15, 5], "step": 123, "ordinal_position": 124}, {"identifier": "G55", "position": [14, 5], "step": 124, "ordinal_position": 125}, {"identifier": "H83", "position": [13, 5], "step": 125, "ordinal_position": 126}, {"identifier": "X09", "position": [13, 4], "step": 126, "ordinal_position": 127}, {"identifier": "H03", "position": [13, 3], "step": 127, "ordinal_position": 128}, {"identifier": "B49", "position": [14, 3], "step": 128, "ordinal_position": 129}, {"identifier": "F46", "position": [15, 3], "step": 129, "ordinal_position": 130}, {"identifier": "J97", "position": [16, 3], "step": 130, "ordinal_position": 131}, {"identifier": "I13", "position": [17, 3], "step": 131, "ordinal_position": 132}, {"identifier": "M09", "position": [18, 3], "step": 132, "ordinal_position": 133}, {"identifier": "I04", "position": [19, 3], "step": 133, "ordinal_position": 134}, {"identifier": "X17", "position": [19, 4], "step": 134, "ordinal_position": 135}, {"identifier": "N92", "position": [19, 5], "step": 135, "ordinal_position": 136}, {"identifier": "T76", "position": [19, 6], "step": 136, "ordinal_position": 137}, {"identifier": "O35", "position": [19, 7], "step": 137, "ordinal_position": 138}, {"identifier": "F16", "position": [18, 7], "step": 138, "ordinal_position": 139}, {"identifier": "K05", "position": [17, 7], "step": 139, "ordinal_position": 140}, {"identifier": "W49", "position": [17, 6], "step": 140, "ordinal_position": 141}, {"identifier": "Z19", "position": [17, 5], "step": 141, "ordinal_position": 142}, {"identifier": "Z05", "position": [16, 5], "step": 142, "ordinal_position": 143}, {"identifier": "U21", "position": [15, 5], "step": 143, "ordinal_position": 144}, {"identifier": "G55", "position": [14, 5], "step": 144, "ordinal_position": 145}, {"identifier": "H83", "position": [13, 5], "step": 145, "ordinal_position": 146}, {"identifier": "X09", "position": [13, 4], "step": 146, "ordinal_position": 147}, {"identifier": "H03", "position": [13, 3], "step": 147, "ordinal_position": 148}, {"identifier": "B49", "position": [14, 3], "step": 148, "ordinal_position": 149}, {"identifier": "F46", "position": [15, 3], "step": 149, "ordinal_position": 150}, {"identifier": "J97", "position": [16, 3], "step": 150, "ordinal_position": 151}, {"identifier": "I13", "position": [17, 3], "step": 151, "ordinal_position": 152}, {"identifier": "M09", "position": [18, 3], "step": 152, "ordinal_position": 153}, {"identifier": "I04", "position": [19, 3], "step": 153, "ordinal_position": 154}, {"identifier": "X17", "position": [19, 4], "step": 154, "ordinal_position": 155}, {"identifier": "N92", "position": [19, 5], "step": 155, "ordinal_position": 156}, {"identifier": "T76", "position": [19, 6], "step": 156, "ordinal_position": 157}, {"identifier": "O35", "position": [19, 7], "step": 157, "ordinal_position": 158}, {"identifier": "F16", "position": [18, 7], "step": 158, "ordinal_position": 159}, {"identifier": "K05", "position": [17, 7], "step": 159, "ordinal_position": 160}, {"identifier": "W49", "position": [17, 6], "step": 160, "ordinal_position": 161}, {"identifier": "Z19", "position": [17, 5], "step": 161, "ordinal_position": 162}, {"identifier": "Z05", "position": [16, 5], "step": 162, "ordinal_position": 163}, {"identifier": "U21", "position": [15, 5], "step": 163, "ordinal_position": 164}, {"identifier": "G55", "position": [14, 5], "step": 164, "ordinal_position": 165}, {"identifier": "H83", "position": [13, 5], "step": 165, "ordinal_position": 166}, {"identifier": "X09", "position": [13, 4], "step": 166, "ordinal_position": 167}, {"identifier": "H03", "position": [13, 3], "step": 167, "ordinal_position": 168}, {"identifier": "B49", "position": [14, 3], "step": 168, "ordinal_position": 169}, {"identifier": "F46", "position": [15, 3], "step": 169, "ordinal_position": 170}, {"identifier": "J97", "position": [16, 3], "step": 170, "ordinal_position": 171}, {"identifier": "I13", "position": [17, 3], "step": 171, "ordinal_position": 172}, {"identifier": "M09", "position": [18, 3], "step": 172, "ordinal_position": 173}, {"identifier": "I04", "position": [19, 3], "step": 173, "ordinal_position": 174}, {"identifier": "X17", "position": [19, 4], "step": 174, "ordinal_position": 175}, {"identifier": "N92", "position": [19, 5], "step": 175, "ordinal_position": 176}, {"identifier": "T76", "position": [19, 6], "step": 176, "ordinal_position": 177}, {"identifier": "O35", "position": [19, 7], "step": 177, "ordinal_position": 178}, {"identifier": "F16", "position": [18, 7], "step": 178, "ordinal_position": 179}, {"identifier": "K05", "position": [17, 7], "step": 179, "ordinal_position": 180}, {"identifier": "W49", "position": [17, 6], "step": 180, "ordinal_position": 181}, {"identifier": "Z19", "position": [17, 5], "step": 181, "ordinal_position": 182}, {"identifier": "Z05", "position": [16, 5], "step": 182, "ordinal_position": 183}, {"identifier": "U21", "position": [15, 5], "step": 183, "ordinal_position": 184}, {"identifier": "G55", "position": [14, 5], "step": 184, "ordinal_position": 185}, {"identifier": "H83", "position": [13, 5], "step": 185, "ordinal_position": 186}, {"identifier": "X09", "position": [13, 4], "step": 186, "ordinal_position": 187}, {"identifier": "H03", "position": [13, 3], "step": 187, "ordinal_position": 188}, {"identifier": "B49", "position": [14, 3], "step": 188, "ordinal_position": 189}, {"identifier": "F46", "position": [15, 3], "step": 189, "ordinal_position": 190}, {"identifier": "J97", "position": [16, 3], "step": 190, "ordinal_position": 191}, {"identifier": "I13", "position": [17, 3], "step": 191, "ordinal_position": 192}, {"identifier": "M09", "position": [18, 3], "step": 192, "ordinal_position": 193}, {"identifier": "I04", "position": [19, 3], "step": 193, "ordinal_position": 194}, {"identifier": "X17", "position": [19, 4], "step": 194, "ordinal_position": 195}, {"identifier": "N92", "position": [19, 5], "step": 195, "ordinal_position": 196}, {"identifier": "T76", "position": [19, 6], "step": 196, "ordinal_position": 197}, {"identifier": "O35", "position": [19, 7], "step": 197, "ordinal_position": 198}, {"identifier": "F16", "position": [18, 7], "step": 198, "ordinal_position": 199}, {"identifier": "K05", "position": [17, 7], "step": 199, "ordinal_position": 200}, {"identifier": "W49", "position": [17, 6], "step": 200, "ordinal_position": 201}, {"identifier": "Z19", "position": [17, 5], "step": 201, "ordinal_position": 202}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 202, "direction": "up", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_005.json"}} {"qa_id": "f0fcb4cf9b354a709336992bd718d47d", "image_id": "L3-MazeLoop-test_21x21_005", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T54, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 152nd position in this traversal?", "start_object_id": "T54", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [152], "ordinal_strings": ["152nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Z05", "traversal_path": [{"identifier": "T54", "position": [1, 11], "step": 0, "ordinal_position": 1}, {"identifier": "E99", "position": [1, 12], "step": 1, "ordinal_position": 2}, {"identifier": "B71", "position": [1, 13], "step": 2, "ordinal_position": 3}, {"identifier": "Q73", "position": [1, 14], "step": 3, "ordinal_position": 4}, {"identifier": "P67", "position": [1, 15], "step": 4, "ordinal_position": 5}, {"identifier": "T14", "position": [1, 16], "step": 5, "ordinal_position": 6}, {"identifier": "A03", "position": [1, 17], "step": 6, "ordinal_position": 7}, {"identifier": "T59", "position": [1, 18], "step": 7, "ordinal_position": 8}, {"identifier": "T53", "position": [1, 19], "step": 8, "ordinal_position": 9}, {"identifier": "D22", "position": [2, 19], "step": 9, "ordinal_position": 10}, {"identifier": "K33", "position": [3, 19], "step": 10, "ordinal_position": 11}, {"identifier": "F44", "position": [4, 19], "step": 11, "ordinal_position": 12}, {"identifier": "B50", "position": [5, 19], "step": 12, "ordinal_position": 13}, {"identifier": "O82", "position": [5, 18], "step": 13, "ordinal_position": 14}, {"identifier": "M73", "position": [5, 17], "step": 14, "ordinal_position": 15}, {"identifier": "N90", "position": [6, 17], "step": 15, "ordinal_position": 16}, {"identifier": "O40", "position": [7, 17], "step": 16, "ordinal_position": 17}, {"identifier": "R59", "position": [7, 18], "step": 17, "ordinal_position": 18}, {"identifier": "M43", "position": [7, 19], "step": 18, "ordinal_position": 19}, {"identifier": "T73", "position": [8, 19], "step": 19, "ordinal_position": 20}, {"identifier": "I97", "position": [9, 19], "step": 20, "ordinal_position": 21}, {"identifier": "T05", "position": [10, 19], "step": 21, "ordinal_position": 22}, {"identifier": "E42", "position": [11, 19], "step": 22, "ordinal_position": 23}, {"identifier": "F84", "position": [12, 19], "step": 23, "ordinal_position": 24}, {"identifier": "B47", "position": [13, 19], "step": 24, "ordinal_position": 25}, {"identifier": "Y19", "position": [14, 19], "step": 25, "ordinal_position": 26}, {"identifier": "T04", "position": [15, 19], "step": 26, "ordinal_position": 27}, {"identifier": "U32", "position": [16, 19], "step": 27, "ordinal_position": 28}, {"identifier": "T35", "position": [17, 19], "step": 28, "ordinal_position": 29}, {"identifier": "A80", "position": [18, 19], "step": 29, "ordinal_position": 30}, {"identifier": "F29", "position": [19, 19], "step": 30, "ordinal_position": 31}, {"identifier": "U14", "position": [19, 18], "step": 31, "ordinal_position": 32}, {"identifier": "W05", "position": [19, 17], "step": 32, "ordinal_position": 33}, {"identifier": "S96", "position": [18, 17], "step": 33, "ordinal_position": 34}, {"identifier": "L58", "position": [17, 17], "step": 34, "ordinal_position": 35}, {"identifier": "W65", "position": [17, 16], "step": 35, "ordinal_position": 36}, {"identifier": "P55", "position": [17, 15], "step": 36, "ordinal_position": 37}, {"identifier": "L72", "position": [18, 15], "step": 37, "ordinal_position": 38}, {"identifier": "L56", "position": [19, 15], "step": 38, "ordinal_position": 39}, {"identifier": "L83", "position": [19, 14], "step": 39, "ordinal_position": 40}, {"identifier": "O33", "position": [19, 13], "step": 40, "ordinal_position": 41}, {"identifier": "F82", "position": [19, 12], "step": 41, "ordinal_position": 42}, {"identifier": "C21", "position": [19, 11], "step": 42, "ordinal_position": 43}, {"identifier": "O60", "position": [19, 10], "step": 43, "ordinal_position": 44}, {"identifier": "L21", "position": [19, 9], "step": 44, "ordinal_position": 45}, {"identifier": "U49", "position": [18, 9], "step": 45, "ordinal_position": 46}, {"identifier": "W66", "position": [17, 9], "step": 46, "ordinal_position": 47}, {"identifier": "F58", "position": [17, 8], "step": 47, "ordinal_position": 48}, {"identifier": "K05", "position": [17, 7], "step": 48, "ordinal_position": 49}, {"identifier": "W49", "position": [17, 6], "step": 49, "ordinal_position": 50}, {"identifier": "Z19", "position": [17, 5], "step": 50, "ordinal_position": 51}, {"identifier": "Z05", "position": [16, 5], "step": 51, "ordinal_position": 52}, {"identifier": "U21", "position": [15, 5], "step": 52, "ordinal_position": 53}, {"identifier": "G55", "position": [14, 5], "step": 53, "ordinal_position": 54}, {"identifier": "H83", "position": [13, 5], "step": 54, "ordinal_position": 55}, {"identifier": "X09", "position": [13, 4], "step": 55, "ordinal_position": 56}, {"identifier": "H03", "position": [13, 3], "step": 56, "ordinal_position": 57}, {"identifier": "B49", "position": [14, 3], "step": 57, "ordinal_position": 58}, {"identifier": "F46", "position": [15, 3], "step": 58, "ordinal_position": 59}, {"identifier": "J97", "position": [16, 3], "step": 59, "ordinal_position": 60}, {"identifier": "I13", "position": [17, 3], "step": 60, "ordinal_position": 61}, {"identifier": "M09", "position": [18, 3], "step": 61, "ordinal_position": 62}, {"identifier": "I04", "position": [19, 3], "step": 62, "ordinal_position": 63}, {"identifier": "X17", "position": [19, 4], "step": 63, "ordinal_position": 64}, {"identifier": "N92", "position": [19, 5], "step": 64, "ordinal_position": 65}, {"identifier": "T76", "position": [19, 6], "step": 65, "ordinal_position": 66}, {"identifier": "O35", "position": [19, 7], "step": 66, "ordinal_position": 67}, {"identifier": "F16", "position": [18, 7], "step": 67, "ordinal_position": 68}, {"identifier": "K05", "position": [17, 7], "step": 68, "ordinal_position": 69}, {"identifier": "W49", "position": [17, 6], "step": 69, "ordinal_position": 70}, {"identifier": "Z19", "position": [17, 5], "step": 70, "ordinal_position": 71}, {"identifier": "Z05", "position": [16, 5], "step": 71, "ordinal_position": 72}, {"identifier": "U21", "position": [15, 5], "step": 72, "ordinal_position": 73}, {"identifier": "G55", "position": [14, 5], "step": 73, "ordinal_position": 74}, {"identifier": "H83", "position": [13, 5], "step": 74, "ordinal_position": 75}, {"identifier": "X09", "position": [13, 4], "step": 75, "ordinal_position": 76}, {"identifier": "H03", "position": [13, 3], "step": 76, "ordinal_position": 77}, {"identifier": "B49", "position": [14, 3], "step": 77, "ordinal_position": 78}, {"identifier": "F46", "position": [15, 3], "step": 78, "ordinal_position": 79}, {"identifier": "J97", "position": [16, 3], "step": 79, "ordinal_position": 80}, {"identifier": "I13", "position": [17, 3], "step": 80, "ordinal_position": 81}, {"identifier": "M09", "position": [18, 3], "step": 81, "ordinal_position": 82}, {"identifier": "I04", "position": [19, 3], "step": 82, "ordinal_position": 83}, {"identifier": "X17", "position": [19, 4], "step": 83, "ordinal_position": 84}, {"identifier": "N92", "position": [19, 5], "step": 84, "ordinal_position": 85}, {"identifier": "T76", "position": [19, 6], "step": 85, "ordinal_position": 86}, {"identifier": "O35", "position": [19, 7], "step": 86, "ordinal_position": 87}, {"identifier": "F16", "position": [18, 7], "step": 87, "ordinal_position": 88}, {"identifier": "K05", "position": [17, 7], "step": 88, "ordinal_position": 89}, {"identifier": "W49", "position": [17, 6], "step": 89, "ordinal_position": 90}, {"identifier": "Z19", "position": [17, 5], "step": 90, "ordinal_position": 91}, {"identifier": "Z05", "position": [16, 5], "step": 91, "ordinal_position": 92}, {"identifier": "U21", "position": [15, 5], "step": 92, "ordinal_position": 93}, {"identifier": "G55", "position": [14, 5], "step": 93, "ordinal_position": 94}, {"identifier": "H83", "position": [13, 5], "step": 94, "ordinal_position": 95}, {"identifier": "X09", "position": [13, 4], "step": 95, "ordinal_position": 96}, {"identifier": "H03", "position": [13, 3], "step": 96, "ordinal_position": 97}, {"identifier": "B49", "position": [14, 3], "step": 97, "ordinal_position": 98}, {"identifier": "F46", "position": [15, 3], "step": 98, "ordinal_position": 99}, {"identifier": "J97", "position": [16, 3], "step": 99, "ordinal_position": 100}, {"identifier": "I13", "position": [17, 3], "step": 100, "ordinal_position": 101}, {"identifier": "M09", "position": [18, 3], "step": 101, "ordinal_position": 102}, {"identifier": "I04", "position": [19, 3], "step": 102, "ordinal_position": 103}, {"identifier": "X17", "position": [19, 4], "step": 103, "ordinal_position": 104}, {"identifier": "N92", "position": [19, 5], "step": 104, "ordinal_position": 105}, {"identifier": "T76", "position": [19, 6], "step": 105, "ordinal_position": 106}, {"identifier": "O35", "position": [19, 7], "step": 106, "ordinal_position": 107}, {"identifier": "F16", "position": [18, 7], "step": 107, "ordinal_position": 108}, {"identifier": "K05", "position": [17, 7], "step": 108, "ordinal_position": 109}, {"identifier": "W49", "position": [17, 6], "step": 109, "ordinal_position": 110}, {"identifier": "Z19", "position": [17, 5], "step": 110, "ordinal_position": 111}, {"identifier": "Z05", "position": [16, 5], "step": 111, "ordinal_position": 112}, {"identifier": "U21", "position": [15, 5], "step": 112, "ordinal_position": 113}, {"identifier": "G55", "position": [14, 5], "step": 113, "ordinal_position": 114}, {"identifier": "H83", "position": [13, 5], "step": 114, "ordinal_position": 115}, {"identifier": "X09", "position": [13, 4], "step": 115, "ordinal_position": 116}, {"identifier": "H03", "position": [13, 3], "step": 116, "ordinal_position": 117}, {"identifier": "B49", "position": [14, 3], "step": 117, "ordinal_position": 118}, {"identifier": "F46", "position": [15, 3], "step": 118, "ordinal_position": 119}, {"identifier": "J97", "position": [16, 3], "step": 119, "ordinal_position": 120}, {"identifier": "I13", "position": [17, 3], "step": 120, "ordinal_position": 121}, {"identifier": "M09", "position": [18, 3], "step": 121, "ordinal_position": 122}, {"identifier": "I04", "position": [19, 3], "step": 122, "ordinal_position": 123}, {"identifier": "X17", "position": [19, 4], "step": 123, "ordinal_position": 124}, {"identifier": "N92", "position": [19, 5], "step": 124, "ordinal_position": 125}, {"identifier": "T76", "position": [19, 6], "step": 125, "ordinal_position": 126}, {"identifier": "O35", "position": [19, 7], "step": 126, "ordinal_position": 127}, {"identifier": "F16", "position": [18, 7], "step": 127, "ordinal_position": 128}, {"identifier": "K05", "position": [17, 7], "step": 128, "ordinal_position": 129}, {"identifier": "W49", "position": [17, 6], "step": 129, "ordinal_position": 130}, {"identifier": "Z19", "position": [17, 5], "step": 130, "ordinal_position": 131}, {"identifier": "Z05", "position": [16, 5], "step": 131, "ordinal_position": 132}, {"identifier": "U21", "position": [15, 5], "step": 132, "ordinal_position": 133}, {"identifier": "G55", "position": [14, 5], "step": 133, "ordinal_position": 134}, {"identifier": "H83", "position": [13, 5], "step": 134, "ordinal_position": 135}, {"identifier": "X09", "position": [13, 4], "step": 135, "ordinal_position": 136}, {"identifier": "H03", "position": [13, 3], "step": 136, "ordinal_position": 137}, {"identifier": "B49", "position": [14, 3], "step": 137, "ordinal_position": 138}, {"identifier": "F46", "position": [15, 3], "step": 138, "ordinal_position": 139}, {"identifier": "J97", "position": [16, 3], "step": 139, "ordinal_position": 140}, {"identifier": "I13", "position": [17, 3], "step": 140, "ordinal_position": 141}, {"identifier": "M09", "position": [18, 3], "step": 141, "ordinal_position": 142}, {"identifier": "I04", "position": [19, 3], "step": 142, "ordinal_position": 143}, {"identifier": "X17", "position": [19, 4], "step": 143, "ordinal_position": 144}, {"identifier": "N92", "position": [19, 5], "step": 144, "ordinal_position": 145}, {"identifier": "T76", "position": [19, 6], "step": 145, "ordinal_position": 146}, {"identifier": "O35", "position": [19, 7], "step": 146, "ordinal_position": 147}, {"identifier": "F16", "position": [18, 7], "step": 147, "ordinal_position": 148}, {"identifier": "K05", "position": [17, 7], "step": 148, "ordinal_position": 149}, {"identifier": "W49", "position": [17, 6], "step": 149, "ordinal_position": 150}, {"identifier": "Z19", "position": [17, 5], "step": 150, "ordinal_position": 151}, {"identifier": "Z05", "position": [16, 5], "step": 151, "ordinal_position": 152}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 152, "direction": "down", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_005.json"}} {"qa_id": "ba06b3f6671242f68c62b2a0dfbc4d34", "image_id": "L3-MazeLoop-test_21x21_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T29, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "T29", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "V58", "traversal_path": [{"identifier": "T29", "position": [17, 7], "step": 0, "ordinal_position": 1}, {"identifier": "V58", "position": [16, 7], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 2, "direction": "left", "turn_preference": "left", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_006.json"}} {"qa_id": "5022cddd1248448da7063a8891561576", "image_id": "L3-MazeLoop-test_21x21_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L32, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 10th position in this traversal?", "start_object_id": "L32", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [10], "ordinal_strings": ["10th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Z61", "traversal_path": [{"identifier": "L32", "position": [7, 15], "step": 0, "ordinal_position": 1}, {"identifier": "H44", "position": [7, 14], "step": 1, "ordinal_position": 2}, {"identifier": "O82", "position": [7, 13], "step": 2, "ordinal_position": 3}, {"identifier": "K22", "position": [8, 13], "step": 3, "ordinal_position": 4}, {"identifier": "U77", "position": [9, 13], "step": 4, "ordinal_position": 5}, {"identifier": "H70", "position": [9, 14], "step": 5, "ordinal_position": 6}, {"identifier": "M02", "position": [9, 15], "step": 6, "ordinal_position": 7}, {"identifier": "I27", "position": [9, 16], "step": 7, "ordinal_position": 8}, {"identifier": "J23", "position": [9, 17], "step": 8, "ordinal_position": 9}, {"identifier": "Z61", "position": [9, 18], "step": 9, "ordinal_position": 10}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 10, "direction": "up", "turn_preference": "left", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_006.json"}} {"qa_id": "0bc3b3ab59ab4dd1be1b557df2254ff2", "image_id": "L3-MazeLoop-test_21x21_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P03, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 15th position in this traversal?", "start_object_id": "P03", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [15], "ordinal_strings": ["15th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "U77", "traversal_path": [{"identifier": "P03", "position": [15, 17], "step": 0, "ordinal_position": 1}, {"identifier": "P75", "position": [14, 17], "step": 1, "ordinal_position": 2}, {"identifier": "D07", "position": [13, 17], "step": 2, "ordinal_position": 3}, {"identifier": "E28", "position": [13, 18], "step": 3, "ordinal_position": 4}, {"identifier": "P24", "position": [13, 19], "step": 4, "ordinal_position": 5}, {"identifier": "L13", "position": [12, 19], "step": 5, "ordinal_position": 6}, {"identifier": "V93", "position": [11, 19], "step": 6, "ordinal_position": 7}, {"identifier": "Q66", "position": [10, 19], "step": 7, "ordinal_position": 8}, {"identifier": "F42", "position": [9, 19], "step": 8, "ordinal_position": 9}, {"identifier": "Z61", "position": [9, 18], "step": 9, "ordinal_position": 10}, {"identifier": "J23", "position": [9, 17], "step": 10, "ordinal_position": 11}, {"identifier": "I27", "position": [9, 16], "step": 11, "ordinal_position": 12}, {"identifier": "M02", "position": [9, 15], "step": 12, "ordinal_position": 13}, {"identifier": "H70", "position": [9, 14], "step": 13, "ordinal_position": 14}, {"identifier": "U77", "position": [9, 13], "step": 14, "ordinal_position": 15}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 15, "direction": "left", "turn_preference": "left", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_006.json"}} {"qa_id": "3b7d606000124abdb3542e89fdd4ca31", "image_id": "L3-MazeLoop-test_21x21_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A19, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "A19", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "T55", "traversal_path": [{"identifier": "A19", "position": [19, 13], "step": 0, "ordinal_position": 1}, {"identifier": "Z85", "position": [19, 12], "step": 1, "ordinal_position": 2}, {"identifier": "C60", "position": [19, 11], "step": 2, "ordinal_position": 3}, {"identifier": "T55", "position": [19, 10], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 4, "direction": "up", "turn_preference": "left", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_006.json"}} {"qa_id": "170d741d39b2445588205a01985a57d0", "image_id": "L3-MazeLoop-test_21x21_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X10, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "X10", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Q10", "traversal_path": [{"identifier": "X10", "position": [3, 9], "step": 0, "ordinal_position": 1}, {"identifier": "G18", "position": [2, 9], "step": 1, "ordinal_position": 2}, {"identifier": "S06", "position": [1, 9], "step": 2, "ordinal_position": 3}, {"identifier": "H88", "position": [1, 8], "step": 3, "ordinal_position": 4}, {"identifier": "T86", "position": [1, 7], "step": 4, "ordinal_position": 5}, {"identifier": "H09", "position": [2, 7], "step": 5, "ordinal_position": 6}, {"identifier": "Q10", "position": [3, 7], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 7, "direction": "left", "turn_preference": "right", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_006.json"}} {"qa_id": "5bbcc331310849e79b4f561779d4b492", "image_id": "L3-MazeLoop-test_21x21_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L53, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 53rd position in this traversal?", "start_object_id": "L53", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [53], "ordinal_strings": ["53rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "F42", "traversal_path": [{"identifier": "L53", "position": [9, 11], "step": 0, "ordinal_position": 1}, {"identifier": "A50", "position": [9, 10], "step": 1, "ordinal_position": 2}, {"identifier": "W41", "position": [9, 9], "step": 2, "ordinal_position": 3}, {"identifier": "S00", "position": [9, 8], "step": 3, "ordinal_position": 4}, {"identifier": "V52", "position": [9, 7], "step": 4, "ordinal_position": 5}, {"identifier": "G59", "position": [10, 7], "step": 5, "ordinal_position": 6}, {"identifier": "A83", "position": [11, 7], "step": 6, "ordinal_position": 7}, {"identifier": "S31", "position": [12, 7], "step": 7, "ordinal_position": 8}, {"identifier": "C11", "position": [13, 7], "step": 8, "ordinal_position": 9}, {"identifier": "J84", "position": [14, 7], "step": 9, "ordinal_position": 10}, {"identifier": "E10", "position": [15, 7], "step": 10, "ordinal_position": 11}, {"identifier": "V58", "position": [16, 7], "step": 11, "ordinal_position": 12}, {"identifier": "T29", "position": [17, 7], "step": 12, "ordinal_position": 13}, {"identifier": "K47", "position": [18, 7], "step": 13, "ordinal_position": 14}, {"identifier": "L22", "position": [19, 7], "step": 14, "ordinal_position": 15}, {"identifier": "W23", "position": [19, 8], "step": 15, "ordinal_position": 16}, {"identifier": "H58", "position": [19, 9], "step": 16, "ordinal_position": 17}, {"identifier": "T55", "position": [19, 10], "step": 17, "ordinal_position": 18}, {"identifier": "C60", "position": [19, 11], "step": 18, "ordinal_position": 19}, {"identifier": "Z85", "position": [19, 12], "step": 19, "ordinal_position": 20}, {"identifier": "A19", "position": [19, 13], "step": 20, "ordinal_position": 21}, {"identifier": "P17", "position": [19, 14], "step": 21, "ordinal_position": 22}, {"identifier": "C50", "position": [19, 15], "step": 22, "ordinal_position": 23}, {"identifier": "V03", "position": [19, 16], "step": 23, "ordinal_position": 24}, {"identifier": "E69", "position": [19, 17], "step": 24, "ordinal_position": 25}, {"identifier": "T37", "position": [19, 18], "step": 25, "ordinal_position": 26}, {"identifier": "F70", "position": [19, 19], "step": 26, "ordinal_position": 27}, {"identifier": "Z25", "position": [18, 19], "step": 27, "ordinal_position": 28}, {"identifier": "U25", "position": [17, 19], "step": 28, "ordinal_position": 29}, {"identifier": "E79", "position": [16, 19], "step": 29, "ordinal_position": 30}, {"identifier": "I82", "position": [15, 19], "step": 30, "ordinal_position": 31}, {"identifier": "G11", "position": [15, 18], "step": 31, "ordinal_position": 32}, {"identifier": "P03", "position": [15, 17], "step": 32, "ordinal_position": 33}, {"identifier": "T62", "position": [15, 16], "step": 33, "ordinal_position": 34}, {"identifier": "F24", "position": [15, 15], "step": 34, "ordinal_position": 35}, {"identifier": "B34", "position": [15, 14], "step": 35, "ordinal_position": 36}, {"identifier": "X08", "position": [15, 13], "step": 36, "ordinal_position": 37}, {"identifier": "R57", "position": [16, 13], "step": 37, "ordinal_position": 38}, {"identifier": "E67", "position": [17, 13], "step": 38, "ordinal_position": 39}, {"identifier": "D04", "position": [17, 14], "step": 39, "ordinal_position": 40}, {"identifier": "C45", "position": [17, 15], "step": 40, "ordinal_position": 41}, {"identifier": "F15", "position": [17, 16], "step": 41, "ordinal_position": 42}, {"identifier": "Y25", "position": [17, 17], "step": 42, "ordinal_position": 43}, {"identifier": "A40", "position": [16, 17], "step": 43, "ordinal_position": 44}, {"identifier": "P03", "position": [15, 17], "step": 44, "ordinal_position": 45}, {"identifier": "P75", "position": [14, 17], "step": 45, "ordinal_position": 46}, {"identifier": "D07", "position": [13, 17], "step": 46, "ordinal_position": 47}, {"identifier": "E28", "position": [13, 18], "step": 47, "ordinal_position": 48}, {"identifier": "P24", "position": [13, 19], "step": 48, "ordinal_position": 49}, {"identifier": "L13", "position": [12, 19], "step": 49, "ordinal_position": 50}, {"identifier": "V93", "position": [11, 19], "step": 50, "ordinal_position": 51}, {"identifier": "Q66", "position": [10, 19], "step": 51, "ordinal_position": 52}, {"identifier": "F42", "position": [9, 19], "step": 52, "ordinal_position": 53}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 53, "direction": "up", "turn_preference": "right", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_006.json"}} {"qa_id": "02469eeaa8214cbcae07b13c35e464d0", "image_id": "L3-MazeLoop-test_21x21_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H58, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 22nd position in this traversal?", "start_object_id": "H58", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [22], "ordinal_strings": ["22nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "R57", "traversal_path": [{"identifier": "H58", "position": [19, 9], "step": 0, "ordinal_position": 1}, {"identifier": "T55", "position": [19, 10], "step": 1, "ordinal_position": 2}, {"identifier": "C60", "position": [19, 11], "step": 2, "ordinal_position": 3}, {"identifier": "Z85", "position": [19, 12], "step": 3, "ordinal_position": 4}, {"identifier": "A19", "position": [19, 13], "step": 4, "ordinal_position": 5}, {"identifier": "P17", "position": [19, 14], "step": 5, "ordinal_position": 6}, {"identifier": "C50", "position": [19, 15], "step": 6, "ordinal_position": 7}, {"identifier": "V03", "position": [19, 16], "step": 7, "ordinal_position": 8}, {"identifier": "E69", "position": [19, 17], "step": 8, "ordinal_position": 9}, {"identifier": "T37", "position": [19, 18], "step": 9, "ordinal_position": 10}, {"identifier": "F70", "position": [19, 19], "step": 10, "ordinal_position": 11}, {"identifier": "Z25", "position": [18, 19], "step": 11, "ordinal_position": 12}, {"identifier": "U25", "position": [17, 19], "step": 12, "ordinal_position": 13}, {"identifier": "E79", "position": [16, 19], "step": 13, "ordinal_position": 14}, {"identifier": "I82", "position": [15, 19], "step": 14, "ordinal_position": 15}, {"identifier": "G11", "position": [15, 18], "step": 15, "ordinal_position": 16}, {"identifier": "P03", "position": [15, 17], "step": 16, "ordinal_position": 17}, {"identifier": "T62", "position": [15, 16], "step": 17, "ordinal_position": 18}, {"identifier": "F24", "position": [15, 15], "step": 18, "ordinal_position": 19}, {"identifier": "B34", "position": [15, 14], "step": 19, "ordinal_position": 20}, {"identifier": "X08", "position": [15, 13], "step": 20, "ordinal_position": 21}, {"identifier": "R57", "position": [16, 13], "step": 21, "ordinal_position": 22}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 22, "direction": "down", "turn_preference": "left", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_006.json"}} {"qa_id": "87d762be8b194194823d3ee6b0166c7d", "image_id": "L3-MazeLoop-test_21x21_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L95, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 53rd position in this traversal?", "start_object_id": "L95", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [53], "ordinal_strings": ["53rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "P60", "traversal_path": [{"identifier": "L95", "position": [16, 1], "step": 0, "ordinal_position": 1}, {"identifier": "C42", "position": [15, 1], "step": 1, "ordinal_position": 2}, {"identifier": "N95", "position": [14, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Q28", "position": [13, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Y27", "position": [12, 1], "step": 4, "ordinal_position": 5}, {"identifier": "O75", "position": [11, 1], "step": 5, "ordinal_position": 6}, {"identifier": "X95", "position": [10, 1], "step": 6, "ordinal_position": 7}, {"identifier": "B31", "position": [9, 1], "step": 7, "ordinal_position": 8}, {"identifier": "K86", "position": [9, 2], "step": 8, "ordinal_position": 9}, {"identifier": "W97", "position": [9, 3], "step": 9, "ordinal_position": 10}, {"identifier": "J07", "position": [9, 4], "step": 10, "ordinal_position": 11}, {"identifier": "E91", "position": [9, 5], "step": 11, "ordinal_position": 12}, {"identifier": "V74", "position": [8, 5], "step": 12, "ordinal_position": 13}, {"identifier": "B14", "position": [7, 5], "step": 13, "ordinal_position": 14}, {"identifier": "V19", "position": [7, 6], "step": 14, "ordinal_position": 15}, {"identifier": "F60", "position": [7, 7], "step": 15, "ordinal_position": 16}, {"identifier": "X72", "position": [7, 8], "step": 16, "ordinal_position": 17}, {"identifier": "S99", "position": [7, 9], "step": 17, "ordinal_position": 18}, {"identifier": "K44", "position": [6, 9], "step": 18, "ordinal_position": 19}, {"identifier": "W57", "position": [5, 9], "step": 19, "ordinal_position": 20}, {"identifier": "R16", "position": [5, 8], "step": 20, "ordinal_position": 21}, {"identifier": "S16", "position": [5, 7], "step": 21, "ordinal_position": 22}, {"identifier": "R17", "position": [4, 7], "step": 22, "ordinal_position": 23}, {"identifier": "Q10", "position": [3, 7], "step": 23, "ordinal_position": 24}, {"identifier": "H09", "position": [2, 7], "step": 24, "ordinal_position": 25}, {"identifier": "T86", "position": [1, 7], "step": 25, "ordinal_position": 26}, {"identifier": "H88", "position": [1, 8], "step": 26, "ordinal_position": 27}, {"identifier": "S06", "position": [1, 9], "step": 27, "ordinal_position": 28}, {"identifier": "G18", "position": [2, 9], "step": 28, "ordinal_position": 29}, {"identifier": "X10", "position": [3, 9], "step": 29, "ordinal_position": 30}, {"identifier": "B24", "position": [3, 10], "step": 30, "ordinal_position": 31}, {"identifier": "U46", "position": [3, 11], "step": 31, "ordinal_position": 32}, {"identifier": "Y19", "position": [2, 11], "step": 32, "ordinal_position": 33}, {"identifier": "L46", "position": [1, 11], "step": 33, "ordinal_position": 34}, {"identifier": "Z31", "position": [1, 12], "step": 34, "ordinal_position": 35}, {"identifier": "P90", "position": [1, 13], "step": 35, "ordinal_position": 36}, {"identifier": "W35", "position": [1, 14], "step": 36, "ordinal_position": 37}, {"identifier": "E44", "position": [1, 15], "step": 37, "ordinal_position": 38}, {"identifier": "O09", "position": [1, 16], "step": 38, "ordinal_position": 39}, {"identifier": "J26", "position": [1, 17], "step": 39, "ordinal_position": 40}, {"identifier": "H52", "position": [1, 18], "step": 40, "ordinal_position": 41}, {"identifier": "S51", "position": [1, 19], "step": 41, "ordinal_position": 42}, {"identifier": "F55", "position": [2, 19], "step": 42, "ordinal_position": 43}, {"identifier": "W12", "position": [3, 19], "step": 43, "ordinal_position": 44}, {"identifier": "H21", "position": [4, 19], "step": 44, "ordinal_position": 45}, {"identifier": "T40", "position": [5, 19], "step": 45, "ordinal_position": 46}, {"identifier": "X30", "position": [6, 19], "step": 46, "ordinal_position": 47}, {"identifier": "O76", "position": [7, 19], "step": 47, "ordinal_position": 48}, {"identifier": "T67", "position": [7, 18], "step": 48, "ordinal_position": 49}, {"identifier": "Y32", "position": [7, 17], "step": 49, "ordinal_position": 50}, {"identifier": "L19", "position": [8, 17], "step": 50, "ordinal_position": 51}, {"identifier": "J23", "position": [9, 17], "step": 51, "ordinal_position": 52}, {"identifier": "P60", "position": [10, 17], "step": 52, "ordinal_position": 53}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 53, "direction": "left", "turn_preference": "right", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_006.json"}} {"qa_id": "4b5a5c9f68ad49c0873e0cb326b4c713", "image_id": "L3-MazeLoop-test_21x21_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B33, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 40th position in this traversal?", "start_object_id": "B33", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [40], "ordinal_strings": ["40th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "W97", "traversal_path": [{"identifier": "B33", "position": [5, 14], "step": 0, "ordinal_position": 1}, {"identifier": "W87", "position": [5, 13], "step": 1, "ordinal_position": 2}, {"identifier": "C04", "position": [5, 12], "step": 2, "ordinal_position": 3}, {"identifier": "N55", "position": [5, 11], "step": 3, "ordinal_position": 4}, {"identifier": "O88", "position": [6, 11], "step": 4, "ordinal_position": 5}, {"identifier": "F20", "position": [7, 11], "step": 5, "ordinal_position": 6}, {"identifier": "C78", "position": [8, 11], "step": 6, "ordinal_position": 7}, {"identifier": "L53", "position": [9, 11], "step": 7, "ordinal_position": 8}, {"identifier": "A50", "position": [9, 10], "step": 8, "ordinal_position": 9}, {"identifier": "W41", "position": [9, 9], "step": 9, "ordinal_position": 10}, {"identifier": "S00", "position": [9, 8], "step": 10, "ordinal_position": 11}, {"identifier": "V52", "position": [9, 7], "step": 11, "ordinal_position": 12}, {"identifier": "G59", "position": [10, 7], "step": 12, "ordinal_position": 13}, {"identifier": "A83", "position": [11, 7], "step": 13, "ordinal_position": 14}, {"identifier": "S31", "position": [12, 7], "step": 14, "ordinal_position": 15}, {"identifier": "C11", "position": [13, 7], "step": 15, "ordinal_position": 16}, {"identifier": "J84", "position": [14, 7], "step": 16, "ordinal_position": 17}, {"identifier": "E10", "position": [15, 7], "step": 17, "ordinal_position": 18}, {"identifier": "V58", "position": [16, 7], "step": 18, "ordinal_position": 19}, {"identifier": "T29", "position": [17, 7], "step": 19, "ordinal_position": 20}, {"identifier": "K47", "position": [18, 7], "step": 20, "ordinal_position": 21}, {"identifier": "L22", "position": [19, 7], "step": 21, "ordinal_position": 22}, {"identifier": "V31", "position": [19, 6], "step": 22, "ordinal_position": 23}, {"identifier": "G15", "position": [19, 5], "step": 23, "ordinal_position": 24}, {"identifier": "H73", "position": [19, 4], "step": 24, "ordinal_position": 25}, {"identifier": "Q36", "position": [19, 3], "step": 25, "ordinal_position": 26}, {"identifier": "C13", "position": [19, 2], "step": 26, "ordinal_position": 27}, {"identifier": "J20", "position": [19, 1], "step": 27, "ordinal_position": 28}, {"identifier": "X44", "position": [18, 1], "step": 28, "ordinal_position": 29}, {"identifier": "F61", "position": [17, 1], "step": 29, "ordinal_position": 30}, {"identifier": "L95", "position": [16, 1], "step": 30, "ordinal_position": 31}, {"identifier": "C42", "position": [15, 1], "step": 31, "ordinal_position": 32}, {"identifier": "N95", "position": [14, 1], "step": 32, "ordinal_position": 33}, {"identifier": "Q28", "position": [13, 1], "step": 33, "ordinal_position": 34}, {"identifier": "Y27", "position": [12, 1], "step": 34, "ordinal_position": 35}, {"identifier": "O75", "position": [11, 1], "step": 35, "ordinal_position": 36}, {"identifier": "X95", "position": [10, 1], "step": 36, "ordinal_position": 37}, {"identifier": "B31", "position": [9, 1], "step": 37, "ordinal_position": 38}, {"identifier": "K86", "position": [9, 2], "step": 38, "ordinal_position": 39}, {"identifier": "W97", "position": [9, 3], "step": 39, "ordinal_position": 40}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 40, "direction": "up", "turn_preference": "left", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_006.json"}} {"qa_id": "6175a4cf5c4b4bccaefd08052f8f34bd", "image_id": "L3-MazeLoop-test_21x21_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O06, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 23rd position in this traversal?", "start_object_id": "O06", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [23], "ordinal_strings": ["23rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Y27", "traversal_path": [{"identifier": "O06", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "W58", "position": [1, 3], "step": 1, "ordinal_position": 2}, {"identifier": "D02", "position": [1, 4], "step": 2, "ordinal_position": 3}, {"identifier": "M96", "position": [1, 5], "step": 3, "ordinal_position": 4}, {"identifier": "D79", "position": [2, 5], "step": 4, "ordinal_position": 5}, {"identifier": "G90", "position": [3, 5], "step": 5, "ordinal_position": 6}, {"identifier": "J95", "position": [4, 5], "step": 6, "ordinal_position": 7}, {"identifier": "L06", "position": [5, 5], "step": 7, "ordinal_position": 8}, {"identifier": "I56", "position": [5, 4], "step": 8, "ordinal_position": 9}, {"identifier": "J50", "position": [5, 3], "step": 9, "ordinal_position": 10}, {"identifier": "O35", "position": [5, 2], "step": 10, "ordinal_position": 11}, {"identifier": "R93", "position": [5, 1], "step": 11, "ordinal_position": 12}, {"identifier": "X48", "position": [6, 1], "step": 12, "ordinal_position": 13}, {"identifier": "M24", "position": [7, 1], "step": 13, "ordinal_position": 14}, {"identifier": "W17", "position": [7, 2], "step": 14, "ordinal_position": 15}, {"identifier": "A53", "position": [7, 3], "step": 15, "ordinal_position": 16}, {"identifier": "B63", "position": [8, 3], "step": 16, "ordinal_position": 17}, {"identifier": "W97", "position": [9, 3], "step": 17, "ordinal_position": 18}, {"identifier": "K86", "position": [9, 2], "step": 18, "ordinal_position": 19}, {"identifier": "B31", "position": [9, 1], "step": 19, "ordinal_position": 20}, {"identifier": "X95", "position": [10, 1], "step": 20, "ordinal_position": 21}, {"identifier": "O75", "position": [11, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Y27", "position": [12, 1], "step": 22, "ordinal_position": 23}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 23, "direction": "down", "turn_preference": "left", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_006.json"}} {"qa_id": "913da5cd68234308aa329760142ab9c7", "image_id": "L3-MazeLoop-test_21x21_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I82, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 188th position in this traversal?", "start_object_id": "I82", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [188], "ordinal_strings": ["188th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Z61", "traversal_path": [{"identifier": "I82", "position": [15, 19], "step": 0, "ordinal_position": 1}, {"identifier": "E79", "position": [16, 19], "step": 1, "ordinal_position": 2}, {"identifier": "U25", "position": [17, 19], "step": 2, "ordinal_position": 3}, {"identifier": "Z25", "position": [18, 19], "step": 3, "ordinal_position": 4}, {"identifier": "F70", "position": [19, 19], "step": 4, "ordinal_position": 5}, {"identifier": "T37", "position": [19, 18], "step": 5, "ordinal_position": 6}, {"identifier": "E69", "position": [19, 17], "step": 6, "ordinal_position": 7}, {"identifier": "V03", "position": [19, 16], "step": 7, "ordinal_position": 8}, {"identifier": "C50", "position": [19, 15], "step": 8, "ordinal_position": 9}, {"identifier": "P17", "position": [19, 14], "step": 9, "ordinal_position": 10}, {"identifier": "A19", "position": [19, 13], "step": 10, "ordinal_position": 11}, {"identifier": "Z85", "position": [19, 12], "step": 11, "ordinal_position": 12}, {"identifier": "C60", "position": [19, 11], "step": 12, "ordinal_position": 13}, {"identifier": "T55", "position": [19, 10], "step": 13, "ordinal_position": 14}, {"identifier": "H58", "position": [19, 9], "step": 14, "ordinal_position": 15}, {"identifier": "W23", "position": [19, 8], "step": 15, "ordinal_position": 16}, {"identifier": "L22", "position": [19, 7], "step": 16, "ordinal_position": 17}, {"identifier": "V31", "position": [19, 6], "step": 17, "ordinal_position": 18}, {"identifier": "G15", "position": [19, 5], "step": 18, "ordinal_position": 19}, {"identifier": "H73", "position": [19, 4], "step": 19, "ordinal_position": 20}, {"identifier": "Q36", "position": [19, 3], "step": 20, "ordinal_position": 21}, {"identifier": "C13", "position": [19, 2], "step": 21, "ordinal_position": 22}, {"identifier": "J20", "position": [19, 1], "step": 22, "ordinal_position": 23}, {"identifier": "X44", "position": [18, 1], "step": 23, "ordinal_position": 24}, {"identifier": "F61", "position": [17, 1], "step": 24, "ordinal_position": 25}, {"identifier": "L95", "position": [16, 1], "step": 25, "ordinal_position": 26}, {"identifier": "C42", "position": [15, 1], "step": 26, "ordinal_position": 27}, {"identifier": "N95", "position": [14, 1], "step": 27, "ordinal_position": 28}, {"identifier": "Q28", "position": [13, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Y27", "position": [12, 1], "step": 29, "ordinal_position": 30}, {"identifier": "O75", "position": [11, 1], "step": 30, "ordinal_position": 31}, {"identifier": "X95", "position": [10, 1], "step": 31, "ordinal_position": 32}, {"identifier": "B31", "position": [9, 1], "step": 32, "ordinal_position": 33}, {"identifier": "K86", "position": [9, 2], "step": 33, "ordinal_position": 34}, {"identifier": "W97", "position": [9, 3], "step": 34, "ordinal_position": 35}, {"identifier": "J07", "position": [9, 4], "step": 35, "ordinal_position": 36}, {"identifier": "E91", "position": [9, 5], "step": 36, "ordinal_position": 37}, {"identifier": "V74", "position": [8, 5], "step": 37, "ordinal_position": 38}, {"identifier": "B14", "position": [7, 5], "step": 38, "ordinal_position": 39}, {"identifier": "V19", "position": [7, 6], "step": 39, "ordinal_position": 40}, {"identifier": "F60", "position": [7, 7], "step": 40, "ordinal_position": 41}, {"identifier": "X72", "position": [7, 8], "step": 41, "ordinal_position": 42}, {"identifier": "S99", "position": [7, 9], "step": 42, "ordinal_position": 43}, {"identifier": "K44", "position": [6, 9], "step": 43, "ordinal_position": 44}, {"identifier": "W57", "position": [5, 9], "step": 44, "ordinal_position": 45}, {"identifier": "R16", "position": [5, 8], "step": 45, "ordinal_position": 46}, {"identifier": "S16", "position": [5, 7], "step": 46, "ordinal_position": 47}, {"identifier": "R17", "position": [4, 7], "step": 47, "ordinal_position": 48}, {"identifier": "Q10", "position": [3, 7], "step": 48, "ordinal_position": 49}, {"identifier": "H09", "position": [2, 7], "step": 49, "ordinal_position": 50}, {"identifier": "T86", "position": [1, 7], "step": 50, "ordinal_position": 51}, {"identifier": "H88", "position": [1, 8], "step": 51, "ordinal_position": 52}, {"identifier": "S06", "position": [1, 9], "step": 52, "ordinal_position": 53}, {"identifier": "G18", "position": [2, 9], "step": 53, "ordinal_position": 54}, {"identifier": "X10", "position": [3, 9], "step": 54, "ordinal_position": 55}, {"identifier": "B24", "position": [3, 10], "step": 55, "ordinal_position": 56}, {"identifier": "U46", "position": [3, 11], "step": 56, "ordinal_position": 57}, {"identifier": "Y19", "position": [2, 11], "step": 57, "ordinal_position": 58}, {"identifier": "L46", "position": [1, 11], "step": 58, "ordinal_position": 59}, {"identifier": "Z31", "position": [1, 12], "step": 59, "ordinal_position": 60}, {"identifier": "P90", "position": [1, 13], "step": 60, "ordinal_position": 61}, {"identifier": "W35", "position": [1, 14], "step": 61, "ordinal_position": 62}, {"identifier": "E44", "position": [1, 15], "step": 62, "ordinal_position": 63}, {"identifier": "O09", "position": [1, 16], "step": 63, "ordinal_position": 64}, {"identifier": "J26", "position": [1, 17], "step": 64, "ordinal_position": 65}, {"identifier": "H52", "position": [1, 18], "step": 65, "ordinal_position": 66}, {"identifier": "S51", "position": [1, 19], "step": 66, "ordinal_position": 67}, {"identifier": "F55", "position": [2, 19], "step": 67, "ordinal_position": 68}, {"identifier": "W12", "position": [3, 19], "step": 68, "ordinal_position": 69}, {"identifier": "H21", "position": [4, 19], "step": 69, "ordinal_position": 70}, {"identifier": "T40", "position": [5, 19], "step": 70, "ordinal_position": 71}, {"identifier": "X30", "position": [6, 19], "step": 71, "ordinal_position": 72}, {"identifier": "O76", "position": [7, 19], "step": 72, "ordinal_position": 73}, {"identifier": "T67", "position": [7, 18], "step": 73, "ordinal_position": 74}, {"identifier": "Y32", "position": [7, 17], "step": 74, "ordinal_position": 75}, {"identifier": "L19", "position": [8, 17], "step": 75, "ordinal_position": 76}, {"identifier": "J23", "position": [9, 17], "step": 76, "ordinal_position": 77}, {"identifier": "P60", "position": [10, 17], "step": 77, "ordinal_position": 78}, {"identifier": "X15", "position": [11, 17], "step": 78, "ordinal_position": 79}, {"identifier": "R84", "position": [11, 16], "step": 79, "ordinal_position": 80}, {"identifier": "J42", "position": [11, 15], "step": 80, "ordinal_position": 81}, {"identifier": "S05", "position": [12, 15], "step": 81, "ordinal_position": 82}, {"identifier": "D83", "position": [13, 15], "step": 82, "ordinal_position": 83}, {"identifier": "T26", "position": [13, 14], "step": 83, "ordinal_position": 84}, {"identifier": "B26", "position": [13, 13], "step": 84, "ordinal_position": 85}, {"identifier": "F50", "position": [12, 13], "step": 85, "ordinal_position": 86}, {"identifier": "I76", "position": [11, 13], "step": 86, "ordinal_position": 87}, {"identifier": "T91", "position": [11, 12], "step": 87, "ordinal_position": 88}, {"identifier": "R64", "position": [11, 11], "step": 88, "ordinal_position": 89}, {"identifier": "W27", "position": [12, 11], "step": 89, "ordinal_position": 90}, {"identifier": "T00", "position": [13, 11], "step": 90, "ordinal_position": 91}, {"identifier": "U57", "position": [14, 11], "step": 91, "ordinal_position": 92}, {"identifier": "N32", "position": [15, 11], "step": 92, "ordinal_position": 93}, {"identifier": "A10", "position": [15, 10], "step": 93, "ordinal_position": 94}, {"identifier": "J76", "position": [15, 9], "step": 94, "ordinal_position": 95}, {"identifier": "J13", "position": [16, 9], "step": 95, "ordinal_position": 96}, {"identifier": "G72", "position": [17, 9], "step": 96, "ordinal_position": 97}, {"identifier": "Z67", "position": [17, 10], "step": 97, "ordinal_position": 98}, {"identifier": "X59", "position": [17, 11], "step": 98, "ordinal_position": 99}, {"identifier": "K36", "position": [17, 12], "step": 99, "ordinal_position": 100}, {"identifier": "E67", "position": [17, 13], "step": 100, "ordinal_position": 101}, {"identifier": "D04", "position": [17, 14], "step": 101, "ordinal_position": 102}, {"identifier": "C45", "position": [17, 15], "step": 102, "ordinal_position": 103}, {"identifier": "F15", "position": [17, 16], "step": 103, "ordinal_position": 104}, {"identifier": "Y25", "position": [17, 17], "step": 104, "ordinal_position": 105}, {"identifier": "A40", "position": [16, 17], "step": 105, "ordinal_position": 106}, {"identifier": "P03", "position": [15, 17], "step": 106, "ordinal_position": 107}, {"identifier": "P75", "position": [14, 17], "step": 107, "ordinal_position": 108}, {"identifier": "D07", "position": [13, 17], "step": 108, "ordinal_position": 109}, {"identifier": "E28", "position": [13, 18], "step": 109, "ordinal_position": 110}, {"identifier": "P24", "position": [13, 19], "step": 110, "ordinal_position": 111}, {"identifier": "L13", "position": [12, 19], "step": 111, "ordinal_position": 112}, {"identifier": "V93", "position": [11, 19], "step": 112, "ordinal_position": 113}, {"identifier": "Q66", "position": [10, 19], "step": 113, "ordinal_position": 114}, {"identifier": "F42", "position": [9, 19], "step": 114, "ordinal_position": 115}, {"identifier": "Z61", "position": [9, 18], "step": 115, "ordinal_position": 116}, {"identifier": "J23", "position": [9, 17], "step": 116, "ordinal_position": 117}, {"identifier": "I27", "position": [9, 16], "step": 117, "ordinal_position": 118}, {"identifier": "M02", "position": [9, 15], "step": 118, "ordinal_position": 119}, {"identifier": "H70", "position": [9, 14], "step": 119, "ordinal_position": 120}, {"identifier": "U77", "position": [9, 13], "step": 120, "ordinal_position": 121}, 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[16, 7], "step": 145, "ordinal_position": 146}, {"identifier": "T29", "position": [17, 7], "step": 146, "ordinal_position": 147}, {"identifier": "K47", "position": [18, 7], "step": 147, "ordinal_position": 148}, {"identifier": "L22", "position": [19, 7], "step": 148, "ordinal_position": 149}, {"identifier": "W23", "position": [19, 8], "step": 149, "ordinal_position": 150}, {"identifier": "H58", "position": [19, 9], "step": 150, "ordinal_position": 151}, {"identifier": "T55", "position": [19, 10], "step": 151, "ordinal_position": 152}, {"identifier": "C60", "position": [19, 11], "step": 152, "ordinal_position": 153}, {"identifier": "Z85", "position": [19, 12], "step": 153, "ordinal_position": 154}, {"identifier": "A19", "position": [19, 13], "step": 154, "ordinal_position": 155}, {"identifier": "P17", "position": [19, 14], "step": 155, "ordinal_position": 156}, {"identifier": "C50", "position": [19, 15], "step": 156, "ordinal_position": 157}, {"identifier": "V03", "position": [19, 16], "step": 157, "ordinal_position": 158}, {"identifier": "E69", "position": [19, 17], "step": 158, "ordinal_position": 159}, {"identifier": "T37", "position": [19, 18], "step": 159, "ordinal_position": 160}, {"identifier": "F70", "position": [19, 19], "step": 160, "ordinal_position": 161}, {"identifier": "Z25", "position": [18, 19], "step": 161, "ordinal_position": 162}, {"identifier": "U25", "position": [17, 19], "step": 162, "ordinal_position": 163}, {"identifier": "E79", "position": [16, 19], "step": 163, "ordinal_position": 164}, {"identifier": "I82", "position": [15, 19], "step": 164, "ordinal_position": 165}, {"identifier": "G11", "position": [15, 18], "step": 165, "ordinal_position": 166}, {"identifier": "P03", "position": [15, 17], "step": 166, "ordinal_position": 167}, {"identifier": "T62", "position": [15, 16], "step": 167, "ordinal_position": 168}, {"identifier": "F24", "position": [15, 15], "step": 168, "ordinal_position": 169}, {"identifier": "B34", "position": [15, 14], "step": 169, "ordinal_position": 170}, {"identifier": "X08", "position": [15, 13], "step": 170, "ordinal_position": 171}, {"identifier": "R57", "position": [16, 13], "step": 171, "ordinal_position": 172}, {"identifier": "E67", "position": [17, 13], "step": 172, "ordinal_position": 173}, {"identifier": "D04", "position": [17, 14], "step": 173, "ordinal_position": 174}, {"identifier": "C45", "position": [17, 15], "step": 174, "ordinal_position": 175}, {"identifier": "F15", "position": [17, 16], "step": 175, "ordinal_position": 176}, {"identifier": "Y25", "position": [17, 17], "step": 176, "ordinal_position": 177}, {"identifier": "A40", "position": [16, 17], "step": 177, "ordinal_position": 178}, {"identifier": "P03", "position": [15, 17], "step": 178, "ordinal_position": 179}, {"identifier": "P75", "position": [14, 17], "step": 179, "ordinal_position": 180}, {"identifier": "D07", "position": [13, 17], "step": 180, "ordinal_position": 181}, {"identifier": "E28", "position": [13, 18], "step": 181, "ordinal_position": 182}, {"identifier": "P24", "position": [13, 19], "step": 182, "ordinal_position": 183}, {"identifier": "L13", "position": [12, 19], "step": 183, "ordinal_position": 184}, {"identifier": "V93", "position": [11, 19], "step": 184, "ordinal_position": 185}, {"identifier": "Q66", "position": [10, 19], "step": 185, "ordinal_position": 186}, {"identifier": "F42", "position": [9, 19], "step": 186, "ordinal_position": 187}, {"identifier": "Z61", "position": [9, 18], "step": 187, "ordinal_position": 188}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 188, "direction": "right", "turn_preference": "right", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_006.json"}} {"qa_id": "516162fd99c64bd9bbec3825118d8b21", "image_id": "L3-MazeLoop-test_21x21_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F70, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 211th position in this traversal?", "start_object_id": "F70", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [211], "ordinal_strings": ["211th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "A19", "traversal_path": [{"identifier": "F70", "position": [19, 19], "step": 0, "ordinal_position": 1}, {"identifier": "Z25", "position": [18, 19], "step": 1, "ordinal_position": 2}, {"identifier": "U25", "position": [17, 19], "step": 2, "ordinal_position": 3}, {"identifier": "E79", "position": [16, 19], "step": 3, "ordinal_position": 4}, {"identifier": "I82", "position": [15, 19], "step": 4, "ordinal_position": 5}, {"identifier": "G11", "position": [15, 18], "step": 5, "ordinal_position": 6}, {"identifier": "P03", "position": [15, 17], "step": 6, "ordinal_position": 7}, {"identifier": "T62", "position": [15, 16], "step": 7, "ordinal_position": 8}, {"identifier": "F24", "position": [15, 15], "step": 8, "ordinal_position": 9}, {"identifier": "B34", "position": [15, 14], "step": 9, "ordinal_position": 10}, {"identifier": "X08", "position": [15, 13], "step": 10, "ordinal_position": 11}, {"identifier": "R57", "position": [16, 13], "step": 11, "ordinal_position": 12}, {"identifier": "E67", "position": [17, 13], "step": 12, "ordinal_position": 13}, {"identifier": "D04", "position": [17, 14], "step": 13, "ordinal_position": 14}, {"identifier": "C45", "position": [17, 15], "step": 14, "ordinal_position": 15}, {"identifier": "F15", "position": [17, 16], "step": 15, "ordinal_position": 16}, {"identifier": "Y25", "position": [17, 17], "step": 16, "ordinal_position": 17}, {"identifier": "A40", "position": [16, 17], "step": 17, "ordinal_position": 18}, {"identifier": "P03", "position": [15, 17], "step": 18, "ordinal_position": 19}, {"identifier": "P75", "position": [14, 17], "step": 19, "ordinal_position": 20}, {"identifier": "D07", "position": [13, 17], "step": 20, "ordinal_position": 21}, {"identifier": "E28", "position": [13, 18], "step": 21, "ordinal_position": 22}, {"identifier": "P24", "position": [13, 19], "step": 22, "ordinal_position": 23}, {"identifier": "L13", "position": [12, 19], "step": 23, "ordinal_position": 24}, {"identifier": "V93", "position": [11, 19], "step": 24, "ordinal_position": 25}, {"identifier": "Q66", "position": [10, 19], "step": 25, "ordinal_position": 26}, {"identifier": "F42", "position": [9, 19], "step": 26, "ordinal_position": 27}, {"identifier": "Z61", "position": [9, 18], "step": 27, "ordinal_position": 28}, {"identifier": "J23", "position": [9, 17], "step": 28, "ordinal_position": 29}, {"identifier": "I27", "position": [9, 16], "step": 29, "ordinal_position": 30}, {"identifier": "M02", "position": [9, 15], "step": 30, "ordinal_position": 31}, {"identifier": "H70", "position": [9, 14], "step": 31, "ordinal_position": 32}, {"identifier": "U77", "position": [9, 13], "step": 32, "ordinal_position": 33}, {"identifier": "K22", "position": [8, 13], "step": 33, "ordinal_position": 34}, {"identifier": "O82", "position": [7, 13], "step": 34, "ordinal_position": 35}, {"identifier": "H44", "position": [7, 14], "step": 35, "ordinal_position": 36}, {"identifier": "L32", "position": [7, 15], "step": 36, "ordinal_position": 37}, {"identifier": "L37", "position": [6, 15], "step": 37, "ordinal_position": 38}, {"identifier": "S19", "position": [5, 15], "step": 38, "ordinal_position": 39}, {"identifier": "B33", "position": [5, 14], "step": 39, "ordinal_position": 40}, {"identifier": "W87", "position": [5, 13], "step": 40, "ordinal_position": 41}, {"identifier": "C04", "position": [5, 12], "step": 41, "ordinal_position": 42}, {"identifier": "N55", "position": [5, 11], "step": 42, "ordinal_position": 43}, {"identifier": "O88", "position": [6, 11], "step": 43, "ordinal_position": 44}, {"identifier": "F20", "position": [7, 11], "step": 44, "ordinal_position": 45}, {"identifier": "C78", "position": [8, 11], "step": 45, "ordinal_position": 46}, {"identifier": "L53", "position": [9, 11], "step": 46, "ordinal_position": 47}, {"identifier": "A50", "position": [9, 10], "step": 47, "ordinal_position": 48}, {"identifier": "W41", "position": [9, 9], "step": 48, "ordinal_position": 49}, {"identifier": "S00", "position": [9, 8], "step": 49, "ordinal_position": 50}, {"identifier": "V52", "position": [9, 7], "step": 50, "ordinal_position": 51}, {"identifier": "G59", "position": [10, 7], "step": 51, "ordinal_position": 52}, {"identifier": "A83", "position": [11, 7], "step": 52, "ordinal_position": 53}, {"identifier": "S31", "position": [12, 7], "step": 53, "ordinal_position": 54}, {"identifier": "C11", "position": [13, 7], "step": 54, "ordinal_position": 55}, {"identifier": "J84", "position": [14, 7], "step": 55, "ordinal_position": 56}, {"identifier": "E10", "position": [15, 7], "step": 56, "ordinal_position": 57}, {"identifier": "V58", "position": [16, 7], "step": 57, "ordinal_position": 58}, {"identifier": "T29", "position": [17, 7], "step": 58, "ordinal_position": 59}, {"identifier": "K47", "position": [18, 7], "step": 59, "ordinal_position": 60}, {"identifier": "L22", "position": [19, 7], "step": 60, "ordinal_position": 61}, {"identifier": "W23", "position": [19, 8], "step": 61, "ordinal_position": 62}, {"identifier": "H58", "position": [19, 9], "step": 62, "ordinal_position": 63}, {"identifier": "T55", "position": [19, 10], "step": 63, "ordinal_position": 64}, {"identifier": "C60", "position": [19, 11], "step": 64, "ordinal_position": 65}, {"identifier": "Z85", "position": [19, 12], "step": 65, "ordinal_position": 66}, {"identifier": "A19", "position": [19, 13], "step": 66, "ordinal_position": 67}, {"identifier": "P17", "position": [19, 14], "step": 67, "ordinal_position": 68}, {"identifier": "C50", "position": [19, 15], "step": 68, "ordinal_position": 69}, {"identifier": "V03", "position": [19, 16], "step": 69, "ordinal_position": 70}, {"identifier": "E69", "position": [19, 17], "step": 70, "ordinal_position": 71}, {"identifier": "T37", "position": [19, 18], "step": 71, "ordinal_position": 72}, {"identifier": "F70", "position": [19, 19], "step": 72, "ordinal_position": 73}, {"identifier": "Z25", "position": [18, 19], "step": 73, "ordinal_position": 74}, {"identifier": "U25", 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"ordinal_position": 99}, {"identifier": "Z61", "position": [9, 18], "step": 99, "ordinal_position": 100}, {"identifier": "J23", "position": [9, 17], "step": 100, "ordinal_position": 101}, {"identifier": "I27", "position": [9, 16], "step": 101, "ordinal_position": 102}, {"identifier": "M02", "position": [9, 15], "step": 102, "ordinal_position": 103}, {"identifier": "H70", "position": [9, 14], "step": 103, "ordinal_position": 104}, {"identifier": "U77", "position": [9, 13], "step": 104, "ordinal_position": 105}, {"identifier": "K22", "position": [8, 13], "step": 105, "ordinal_position": 106}, {"identifier": "O82", "position": [7, 13], "step": 106, "ordinal_position": 107}, {"identifier": "H44", "position": [7, 14], "step": 107, "ordinal_position": 108}, {"identifier": "L32", "position": [7, 15], "step": 108, "ordinal_position": 109}, {"identifier": "L37", "position": [6, 15], "step": 109, "ordinal_position": 110}, {"identifier": "S19", "position": [5, 15], "step": 110, 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123}, {"identifier": "G59", "position": [10, 7], "step": 123, "ordinal_position": 124}, {"identifier": "A83", "position": [11, 7], "step": 124, "ordinal_position": 125}, {"identifier": "S31", "position": [12, 7], "step": 125, "ordinal_position": 126}, {"identifier": "C11", "position": [13, 7], "step": 126, "ordinal_position": 127}, {"identifier": "J84", "position": [14, 7], "step": 127, "ordinal_position": 128}, {"identifier": "E10", "position": [15, 7], "step": 128, "ordinal_position": 129}, {"identifier": "V58", "position": [16, 7], "step": 129, "ordinal_position": 130}, {"identifier": "T29", "position": [17, 7], "step": 130, "ordinal_position": 131}, {"identifier": "K47", "position": [18, 7], "step": 131, "ordinal_position": 132}, {"identifier": "L22", "position": [19, 7], "step": 132, "ordinal_position": 133}, {"identifier": "W23", "position": [19, 8], "step": 133, "ordinal_position": 134}, {"identifier": "H58", "position": [19, 9], "step": 134, "ordinal_position": 135}, 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{"identifier": "E79", "position": [16, 19], "step": 147, "ordinal_position": 148}, {"identifier": "I82", "position": [15, 19], "step": 148, "ordinal_position": 149}, {"identifier": "G11", "position": [15, 18], "step": 149, "ordinal_position": 150}, {"identifier": "P03", "position": [15, 17], "step": 150, "ordinal_position": 151}, {"identifier": "T62", "position": [15, 16], "step": 151, "ordinal_position": 152}, {"identifier": "F24", "position": [15, 15], "step": 152, "ordinal_position": 153}, {"identifier": "B34", "position": [15, 14], "step": 153, "ordinal_position": 154}, {"identifier": "X08", "position": [15, 13], "step": 154, "ordinal_position": 155}, {"identifier": "R57", "position": [16, 13], "step": 155, "ordinal_position": 156}, {"identifier": "E67", "position": [17, 13], "step": 156, "ordinal_position": 157}, {"identifier": "D04", "position": [17, 14], "step": 157, "ordinal_position": 158}, {"identifier": "C45", "position": [17, 15], "step": 158, "ordinal_position": 159}, {"identifier": "F15", "position": [17, 16], "step": 159, "ordinal_position": 160}, {"identifier": "Y25", "position": [17, 17], "step": 160, "ordinal_position": 161}, {"identifier": "A40", "position": [16, 17], "step": 161, "ordinal_position": 162}, {"identifier": "P03", "position": [15, 17], "step": 162, "ordinal_position": 163}, {"identifier": "P75", "position": [14, 17], "step": 163, "ordinal_position": 164}, {"identifier": "D07", "position": [13, 17], "step": 164, "ordinal_position": 165}, {"identifier": "E28", "position": [13, 18], "step": 165, "ordinal_position": 166}, {"identifier": "P24", "position": [13, 19], "step": 166, "ordinal_position": 167}, {"identifier": "L13", "position": [12, 19], "step": 167, "ordinal_position": 168}, {"identifier": "V93", "position": [11, 19], "step": 168, "ordinal_position": 169}, {"identifier": "Q66", "position": [10, 19], "step": 169, "ordinal_position": 170}, {"identifier": "F42", "position": [9, 19], "step": 170, "ordinal_position": 171}, {"identifier": "Z61", "position": [9, 18], "step": 171, "ordinal_position": 172}, {"identifier": "J23", "position": [9, 17], "step": 172, "ordinal_position": 173}, {"identifier": "I27", "position": [9, 16], "step": 173, "ordinal_position": 174}, {"identifier": "M02", "position": [9, 15], "step": 174, "ordinal_position": 175}, {"identifier": "H70", "position": [9, 14], "step": 175, "ordinal_position": 176}, {"identifier": "U77", "position": [9, 13], "step": 176, "ordinal_position": 177}, {"identifier": "K22", "position": [8, 13], "step": 177, "ordinal_position": 178}, {"identifier": "O82", "position": [7, 13], "step": 178, "ordinal_position": 179}, {"identifier": "H44", "position": [7, 14], "step": 179, "ordinal_position": 180}, {"identifier": "L32", "position": [7, 15], "step": 180, "ordinal_position": 181}, {"identifier": "L37", "position": [6, 15], "step": 181, "ordinal_position": 182}, {"identifier": "S19", "position": [5, 15], "step": 182, "ordinal_position": 183}, {"identifier": "B33", "position": [5, 14], "step": 183, "ordinal_position": 184}, {"identifier": "W87", "position": [5, 13], "step": 184, "ordinal_position": 185}, {"identifier": "C04", "position": [5, 12], "step": 185, "ordinal_position": 186}, {"identifier": "N55", "position": [5, 11], "step": 186, "ordinal_position": 187}, {"identifier": "O88", "position": [6, 11], "step": 187, "ordinal_position": 188}, {"identifier": "F20", "position": [7, 11], "step": 188, "ordinal_position": 189}, {"identifier": "C78", "position": [8, 11], "step": 189, "ordinal_position": 190}, {"identifier": "L53", "position": [9, 11], "step": 190, "ordinal_position": 191}, {"identifier": "A50", "position": [9, 10], "step": 191, "ordinal_position": 192}, {"identifier": "W41", "position": [9, 9], "step": 192, "ordinal_position": 193}, {"identifier": "S00", "position": [9, 8], "step": 193, "ordinal_position": 194}, {"identifier": "V52", "position": [9, 7], "step": 194, "ordinal_position": 195}, {"identifier": "G59", "position": [10, 7], "step": 195, "ordinal_position": 196}, {"identifier": "A83", "position": [11, 7], "step": 196, "ordinal_position": 197}, {"identifier": "S31", "position": [12, 7], "step": 197, "ordinal_position": 198}, {"identifier": "C11", "position": [13, 7], "step": 198, "ordinal_position": 199}, {"identifier": "J84", "position": [14, 7], "step": 199, "ordinal_position": 200}, {"identifier": "E10", "position": [15, 7], "step": 200, "ordinal_position": 201}, {"identifier": "V58", "position": [16, 7], "step": 201, "ordinal_position": 202}, {"identifier": "T29", "position": [17, 7], "step": 202, "ordinal_position": 203}, {"identifier": "K47", "position": [18, 7], "step": 203, "ordinal_position": 204}, {"identifier": "L22", "position": [19, 7], "step": 204, "ordinal_position": 205}, {"identifier": "W23", "position": [19, 8], "step": 205, "ordinal_position": 206}, {"identifier": "H58", "position": [19, 9], "step": 206, "ordinal_position": 207}, {"identifier": "T55", "position": [19, 10], "step": 207, "ordinal_position": 208}, {"identifier": "C60", "position": [19, 11], "step": 208, "ordinal_position": 209}, {"identifier": "Z85", "position": [19, 12], "step": 209, "ordinal_position": 210}, {"identifier": "A19", "position": [19, 13], "step": 210, "ordinal_position": 211}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 211, "direction": "left", "turn_preference": "right", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_006.json"}} {"qa_id": "2b242c5ddf874c1c85088a2cb88f4b0c", "image_id": "L3-MazeLoop-test_21x21_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J76, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 107th position in this traversal?", "start_object_id": "J76", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [107], "ordinal_strings": ["107th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "P90", "traversal_path": [{"identifier": "J76", "position": [15, 9], "step": 0, "ordinal_position": 1}, {"identifier": "J13", "position": [16, 9], "step": 1, "ordinal_position": 2}, {"identifier": "G72", "position": [17, 9], "step": 2, "ordinal_position": 3}, {"identifier": "Z67", "position": [17, 10], "step": 3, "ordinal_position": 4}, {"identifier": "X59", "position": [17, 11], "step": 4, "ordinal_position": 5}, {"identifier": "K36", "position": [17, 12], "step": 5, "ordinal_position": 6}, {"identifier": "E67", "position": [17, 13], "step": 6, "ordinal_position": 7}, {"identifier": "D04", "position": [17, 14], "step": 7, "ordinal_position": 8}, {"identifier": "C45", "position": [17, 15], "step": 8, "ordinal_position": 9}, {"identifier": "F15", "position": [17, 16], "step": 9, "ordinal_position": 10}, {"identifier": "Y25", "position": [17, 17], "step": 10, "ordinal_position": 11}, {"identifier": "A40", "position": [16, 17], "step": 11, "ordinal_position": 12}, {"identifier": "P03", "position": [15, 17], "step": 12, "ordinal_position": 13}, {"identifier": "P75", "position": [14, 17], "step": 13, "ordinal_position": 14}, {"identifier": "D07", "position": [13, 17], "step": 14, "ordinal_position": 15}, {"identifier": "E28", "position": [13, 18], "step": 15, "ordinal_position": 16}, {"identifier": "P24", "position": [13, 19], "step": 16, "ordinal_position": 17}, {"identifier": "L13", "position": [12, 19], "step": 17, "ordinal_position": 18}, {"identifier": "V93", "position": [11, 19], "step": 18, "ordinal_position": 19}, {"identifier": "Q66", "position": [10, 19], "step": 19, "ordinal_position": 20}, {"identifier": "F42", "position": [9, 19], "step": 20, "ordinal_position": 21}, {"identifier": "Z61", "position": [9, 18], "step": 21, "ordinal_position": 22}, {"identifier": "J23", "position": [9, 17], "step": 22, "ordinal_position": 23}, {"identifier": "I27", "position": [9, 16], "step": 23, "ordinal_position": 24}, {"identifier": "M02", "position": [9, 15], "step": 24, "ordinal_position": 25}, {"identifier": "H70", "position": [9, 14], "step": 25, "ordinal_position": 26}, {"identifier": "U77", "position": [9, 13], "step": 26, "ordinal_position": 27}, {"identifier": "K22", "position": [8, 13], "step": 27, "ordinal_position": 28}, {"identifier": "O82", "position": [7, 13], "step": 28, "ordinal_position": 29}, {"identifier": "H44", "position": [7, 14], "step": 29, "ordinal_position": 30}, {"identifier": "L32", "position": [7, 15], "step": 30, "ordinal_position": 31}, {"identifier": "L37", "position": [6, 15], "step": 31, "ordinal_position": 32}, {"identifier": "S19", "position": [5, 15], "step": 32, "ordinal_position": 33}, {"identifier": "A39", "position": [5, 16], "step": 33, "ordinal_position": 34}, {"identifier": "D50", "position": [5, 17], "step": 34, "ordinal_position": 35}, {"identifier": "D16", "position": [4, 17], "step": 35, "ordinal_position": 36}, {"identifier": "Y39", "position": [3, 17], "step": 36, "ordinal_position": 37}, {"identifier": "L71", "position": [3, 16], "step": 37, "ordinal_position": 38}, {"identifier": "G68", "position": [3, 15], "step": 38, "ordinal_position": 39}, {"identifier": "L75", "position": [3, 14], "step": 39, "ordinal_position": 40}, {"identifier": "B38", "position": [3, 13], "step": 40, "ordinal_position": 41}, {"identifier": "Y38", "position": [2, 13], "step": 41, "ordinal_position": 42}, {"identifier": "P90", "position": [1, 13], "step": 42, "ordinal_position": 43}, {"identifier": "W35", "position": [1, 14], "step": 43, "ordinal_position": 44}, {"identifier": "E44", "position": [1, 15], "step": 44, "ordinal_position": 45}, {"identifier": "O09", "position": [1, 16], "step": 45, "ordinal_position": 46}, {"identifier": "J26", "position": [1, 17], "step": 46, "ordinal_position": 47}, {"identifier": "H52", "position": [1, 18], "step": 47, "ordinal_position": 48}, {"identifier": "S51", "position": [1, 19], "step": 48, "ordinal_position": 49}, {"identifier": "F55", "position": [2, 19], "step": 49, "ordinal_position": 50}, {"identifier": "W12", "position": [3, 19], "step": 50, "ordinal_position": 51}, {"identifier": "H21", "position": [4, 19], "step": 51, "ordinal_position": 52}, {"identifier": "T40", "position": [5, 19], "step": 52, "ordinal_position": 53}, {"identifier": "X30", "position": [6, 19], "step": 53, "ordinal_position": 54}, {"identifier": "O76", "position": [7, 19], "step": 54, "ordinal_position": 55}, {"identifier": "T67", "position": [7, 18], "step": 55, "ordinal_position": 56}, {"identifier": "Y32", "position": [7, 17], "step": 56, "ordinal_position": 57}, {"identifier": "L19", "position": [8, 17], "step": 57, "ordinal_position": 58}, {"identifier": "J23", "position": [9, 17], "step": 58, "ordinal_position": 59}, {"identifier": "P60", "position": [10, 17], "step": 59, "ordinal_position": 60}, {"identifier": "X15", "position": [11, 17], "step": 60, "ordinal_position": 61}, {"identifier": "R84", "position": [11, 16], "step": 61, "ordinal_position": 62}, {"identifier": "J42", "position": [11, 15], "step": 62, "ordinal_position": 63}, {"identifier": "S05", "position": [12, 15], "step": 63, "ordinal_position": 64}, {"identifier": "D83", "position": [13, 15], "step": 64, "ordinal_position": 65}, {"identifier": "T26", "position": [13, 14], "step": 65, "ordinal_position": 66}, {"identifier": "B26", "position": [13, 13], "step": 66, "ordinal_position": 67}, {"identifier": "F50", "position": [12, 13], "step": 67, "ordinal_position": 68}, {"identifier": "I76", "position": [11, 13], "step": 68, "ordinal_position": 69}, {"identifier": "T91", "position": [11, 12], "step": 69, "ordinal_position": 70}, {"identifier": "R64", "position": [11, 11], "step": 70, "ordinal_position": 71}, {"identifier": "W27", "position": [12, 11], "step": 71, "ordinal_position": 72}, {"identifier": "T00", "position": [13, 11], "step": 72, "ordinal_position": 73}, {"identifier": "U57", "position": [14, 11], "step": 73, "ordinal_position": 74}, {"identifier": "N32", "position": [15, 11], "step": 74, "ordinal_position": 75}, {"identifier": "A10", "position": [15, 10], "step": 75, "ordinal_position": 76}, {"identifier": "J76", "position": [15, 9], "step": 76, "ordinal_position": 77}, {"identifier": "R42", "position": [14, 9], "step": 77, "ordinal_position": 78}, {"identifier": "D17", "position": [13, 9], "step": 78, "ordinal_position": 79}, {"identifier": "S36", "position": [12, 9], "step": 79, "ordinal_position": 80}, {"identifier": "X28", "position": [11, 9], "step": 80, "ordinal_position": 81}, {"identifier": "D58", "position": [11, 8], "step": 81, "ordinal_position": 82}, {"identifier": "A83", "position": [11, 7], "step": 82, "ordinal_position": 83}, {"identifier": "G59", "position": [10, 7], "step": 83, "ordinal_position": 84}, {"identifier": "V52", "position": [9, 7], "step": 84, "ordinal_position": 85}, {"identifier": "S00", "position": [9, 8], "step": 85, "ordinal_position": 86}, {"identifier": "W41", "position": [9, 9], "step": 86, "ordinal_position": 87}, {"identifier": "A50", "position": [9, 10], "step": 87, "ordinal_position": 88}, {"identifier": "L53", "position": [9, 11], "step": 88, "ordinal_position": 89}, {"identifier": "C78", "position": [8, 11], "step": 89, "ordinal_position": 90}, {"identifier": "F20", "position": [7, 11], "step": 90, "ordinal_position": 91}, {"identifier": "O88", "position": [6, 11], "step": 91, "ordinal_position": 92}, {"identifier": "N55", "position": [5, 11], "step": 92, "ordinal_position": 93}, {"identifier": "C04", "position": [5, 12], "step": 93, "ordinal_position": 94}, {"identifier": "W87", "position": [5, 13], "step": 94, "ordinal_position": 95}, {"identifier": "B33", "position": [5, 14], "step": 95, "ordinal_position": 96}, {"identifier": "S19", "position": [5, 15], "step": 96, "ordinal_position": 97}, {"identifier": "A39", "position": [5, 16], "step": 97, "ordinal_position": 98}, {"identifier": "D50", "position": [5, 17], "step": 98, "ordinal_position": 99}, {"identifier": "D16", "position": [4, 17], "step": 99, "ordinal_position": 100}, {"identifier": "Y39", "position": [3, 17], "step": 100, "ordinal_position": 101}, {"identifier": "L71", "position": [3, 16], "step": 101, "ordinal_position": 102}, {"identifier": "G68", "position": [3, 15], "step": 102, "ordinal_position": 103}, {"identifier": "L75", "position": [3, 14], "step": 103, "ordinal_position": 104}, {"identifier": "B38", "position": [3, 13], "step": 104, "ordinal_position": 105}, {"identifier": "Y38", "position": [2, 13], "step": 105, "ordinal_position": 106}, {"identifier": "P90", "position": [1, 13], "step": 106, "ordinal_position": 107}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 107, "direction": "right", "turn_preference": "left", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_006.json"}} {"qa_id": "77cd4b78146e4af686380514dac5dec3", "image_id": "L3-MazeLoop-test_21x21_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T55, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 283rd position in this traversal?", "start_object_id": "T55", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [283], "ordinal_strings": ["283rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "V58", "traversal_path": [{"identifier": "T55", "position": [19, 10], "step": 0, "ordinal_position": 1}, {"identifier": "C60", "position": [19, 11], "step": 1, "ordinal_position": 2}, {"identifier": "Z85", "position": [19, 12], "step": 2, "ordinal_position": 3}, {"identifier": "A19", "position": [19, 13], "step": 3, "ordinal_position": 4}, {"identifier": "P17", "position": [19, 14], "step": 4, "ordinal_position": 5}, {"identifier": "C50", "position": [19, 15], "step": 5, "ordinal_position": 6}, {"identifier": "V03", "position": [19, 16], "step": 6, "ordinal_position": 7}, {"identifier": "E69", "position": [19, 17], "step": 7, "ordinal_position": 8}, {"identifier": "T37", "position": [19, 18], "step": 8, "ordinal_position": 9}, {"identifier": "F70", "position": [19, 19], "step": 9, "ordinal_position": 10}, {"identifier": "Z25", "position": [18, 19], "step": 10, "ordinal_position": 11}, {"identifier": "U25", "position": [17, 19], "step": 11, "ordinal_position": 12}, {"identifier": "E79", "position": [16, 19], "step": 12, "ordinal_position": 13}, {"identifier": "I82", "position": [15, 19], "step": 13, "ordinal_position": 14}, {"identifier": "G11", "position": [15, 18], "step": 14, "ordinal_position": 15}, {"identifier": "P03", "position": [15, 17], "step": 15, "ordinal_position": 16}, {"identifier": "T62", "position": [15, 16], "step": 16, "ordinal_position": 17}, {"identifier": "F24", "position": [15, 15], "step": 17, "ordinal_position": 18}, {"identifier": "B34", "position": [15, 14], "step": 18, "ordinal_position": 19}, {"identifier": "X08", "position": [15, 13], "step": 19, "ordinal_position": 20}, {"identifier": "R57", "position": [16, 13], "step": 20, "ordinal_position": 21}, {"identifier": "E67", "position": [17, 13], "step": 21, "ordinal_position": 22}, {"identifier": "D04", "position": [17, 14], "step": 22, "ordinal_position": 23}, {"identifier": "C45", "position": [17, 15], "step": 23, "ordinal_position": 24}, {"identifier": "F15", "position": [17, 16], "step": 24, "ordinal_position": 25}, {"identifier": "Y25", "position": [17, 17], "step": 25, "ordinal_position": 26}, {"identifier": "A40", "position": [16, 17], "step": 26, "ordinal_position": 27}, {"identifier": "P03", "position": [15, 17], "step": 27, "ordinal_position": 28}, {"identifier": "P75", "position": [14, 17], "step": 28, "ordinal_position": 29}, {"identifier": "D07", "position": [13, 17], "step": 29, "ordinal_position": 30}, {"identifier": "E28", "position": [13, 18], "step": 30, "ordinal_position": 31}, {"identifier": "P24", "position": [13, 19], "step": 31, "ordinal_position": 32}, {"identifier": "L13", "position": [12, 19], "step": 32, "ordinal_position": 33}, {"identifier": "V93", "position": [11, 19], "step": 33, "ordinal_position": 34}, {"identifier": "Q66", "position": [10, 19], "step": 34, "ordinal_position": 35}, {"identifier": "F42", "position": [9, 19], "step": 35, "ordinal_position": 36}, {"identifier": "Z61", "position": [9, 18], "step": 36, "ordinal_position": 37}, {"identifier": "J23", "position": [9, 17], "step": 37, "ordinal_position": 38}, {"identifier": "I27", "position": [9, 16], "step": 38, "ordinal_position": 39}, {"identifier": "M02", "position": [9, 15], "step": 39, "ordinal_position": 40}, {"identifier": "H70", "position": [9, 14], "step": 40, "ordinal_position": 41}, {"identifier": "U77", "position": [9, 13], "step": 41, "ordinal_position": 42}, {"identifier": "K22", "position": [8, 13], "step": 42, "ordinal_position": 43}, {"identifier": "O82", "position": [7, 13], "step": 43, "ordinal_position": 44}, {"identifier": "H44", "position": [7, 14], "step": 44, "ordinal_position": 45}, {"identifier": "L32", "position": [7, 15], "step": 45, "ordinal_position": 46}, {"identifier": "L37", "position": [6, 15], "step": 46, "ordinal_position": 47}, {"identifier": "S19", "position": [5, 15], "step": 47, "ordinal_position": 48}, {"identifier": "B33", "position": [5, 14], "step": 48, "ordinal_position": 49}, {"identifier": "W87", "position": [5, 13], "step": 49, "ordinal_position": 50}, {"identifier": "C04", "position": [5, 12], "step": 50, "ordinal_position": 51}, {"identifier": "N55", "position": [5, 11], "step": 51, "ordinal_position": 52}, {"identifier": "O88", "position": [6, 11], "step": 52, "ordinal_position": 53}, {"identifier": "F20", "position": [7, 11], "step": 53, "ordinal_position": 54}, {"identifier": "C78", "position": [8, 11], "step": 54, "ordinal_position": 55}, {"identifier": "L53", "position": [9, 11], "step": 55, "ordinal_position": 56}, {"identifier": "A50", "position": [9, 10], "step": 56, "ordinal_position": 57}, {"identifier": "W41", "position": [9, 9], "step": 57, "ordinal_position": 58}, {"identifier": "S00", "position": [9, 8], "step": 58, "ordinal_position": 59}, {"identifier": "V52", "position": [9, 7], "step": 59, "ordinal_position": 60}, {"identifier": "G59", "position": [10, 7], "step": 60, "ordinal_position": 61}, {"identifier": "A83", "position": [11, 7], "step": 61, "ordinal_position": 62}, {"identifier": "S31", "position": [12, 7], "step": 62, "ordinal_position": 63}, {"identifier": "C11", "position": [13, 7], "step": 63, "ordinal_position": 64}, {"identifier": "J84", "position": [14, 7], "step": 64, "ordinal_position": 65}, {"identifier": "E10", "position": [15, 7], "step": 65, "ordinal_position": 66}, {"identifier": "V58", "position": [16, 7], "step": 66, "ordinal_position": 67}, {"identifier": "T29", "position": [17, 7], "step": 67, "ordinal_position": 68}, {"identifier": "K47", "position": [18, 7], "step": 68, "ordinal_position": 69}, {"identifier": "L22", "position": [19, 7], "step": 69, "ordinal_position": 70}, {"identifier": "W23", "position": [19, 8], "step": 70, "ordinal_position": 71}, {"identifier": "H58", "position": [19, 9], "step": 71, "ordinal_position": 72}, {"identifier": "T55", "position": [19, 10], "step": 72, "ordinal_position": 73}, {"identifier": "C60", "position": [19, 11], "step": 73, "ordinal_position": 74}, {"identifier": "Z85", "position": [19, 12], "step": 74, "ordinal_position": 75}, {"identifier": "A19", "position": [19, 13], "step": 75, "ordinal_position": 76}, {"identifier": "P17", "position": [19, 14], "step": 76, "ordinal_position": 77}, {"identifier": "C50", "position": [19, 15], "step": 77, "ordinal_position": 78}, {"identifier": "V03", "position": [19, 16], "step": 78, "ordinal_position": 79}, {"identifier": "E69", "position": [19, 17], "step": 79, "ordinal_position": 80}, {"identifier": "T37", "position": [19, 18], "step": 80, "ordinal_position": 81}, {"identifier": "F70", "position": [19, 19], "step": 81, "ordinal_position": 82}, {"identifier": "Z25", "position": [18, 19], "step": 82, "ordinal_position": 83}, {"identifier": "U25", "position": [17, 19], "step": 83, "ordinal_position": 84}, {"identifier": "E79", "position": [16, 19], "step": 84, "ordinal_position": 85}, {"identifier": "I82", "position": [15, 19], "step": 85, "ordinal_position": 86}, {"identifier": "G11", "position": [15, 18], "step": 86, "ordinal_position": 87}, {"identifier": "P03", "position": [15, 17], "step": 87, "ordinal_position": 88}, {"identifier": "T62", "position": [15, 16], "step": 88, "ordinal_position": 89}, {"identifier": "F24", "position": [15, 15], "step": 89, "ordinal_position": 90}, {"identifier": "B34", "position": [15, 14], "step": 90, "ordinal_position": 91}, {"identifier": "X08", "position": [15, 13], "step": 91, "ordinal_position": 92}, {"identifier": "R57", "position": [16, 13], "step": 92, "ordinal_position": 93}, {"identifier": "E67", "position": [17, 13], "step": 93, "ordinal_position": 94}, {"identifier": "D04", "position": [17, 14], "step": 94, "ordinal_position": 95}, {"identifier": "C45", "position": [17, 15], "step": 95, "ordinal_position": 96}, {"identifier": "F15", "position": [17, 16], "step": 96, "ordinal_position": 97}, {"identifier": "Y25", "position": [17, 17], "step": 97, "ordinal_position": 98}, {"identifier": "A40", "position": [16, 17], "step": 98, "ordinal_position": 99}, {"identifier": "P03", "position": [15, 17], "step": 99, "ordinal_position": 100}, {"identifier": "P75", "position": [14, 17], "step": 100, "ordinal_position": 101}, {"identifier": "D07", "position": [13, 17], "step": 101, "ordinal_position": 102}, {"identifier": "E28", "position": [13, 18], "step": 102, "ordinal_position": 103}, {"identifier": "P24", "position": [13, 19], "step": 103, "ordinal_position": 104}, {"identifier": "L13", "position": [12, 19], "step": 104, "ordinal_position": 105}, {"identifier": "V93", "position": [11, 19], "step": 105, "ordinal_position": 106}, {"identifier": "Q66", "position": [10, 19], "step": 106, "ordinal_position": 107}, {"identifier": "F42", "position": [9, 19], "step": 107, "ordinal_position": 108}, {"identifier": "Z61", "position": [9, 18], "step": 108, "ordinal_position": 109}, {"identifier": "J23", "position": [9, 17], "step": 109, "ordinal_position": 110}, {"identifier": "I27", "position": [9, 16], "step": 110, "ordinal_position": 111}, {"identifier": "M02", "position": [9, 15], "step": 111, "ordinal_position": 112}, {"identifier": "H70", "position": [9, 14], "step": 112, "ordinal_position": 113}, {"identifier": "U77", "position": [9, 13], "step": 113, "ordinal_position": 114}, {"identifier": "K22", "position": [8, 13], "step": 114, "ordinal_position": 115}, {"identifier": "O82", "position": [7, 13], "step": 115, "ordinal_position": 116}, {"identifier": "H44", "position": [7, 14], "step": 116, "ordinal_position": 117}, {"identifier": "L32", "position": [7, 15], "step": 117, "ordinal_position": 118}, {"identifier": "L37", "position": [6, 15], "step": 118, "ordinal_position": 119}, {"identifier": "S19", "position": [5, 15], "step": 119, "ordinal_position": 120}, {"identifier": "B33", "position": [5, 14], "step": 120, "ordinal_position": 121}, {"identifier": "W87", "position": [5, 13], "step": 121, "ordinal_position": 122}, {"identifier": "C04", "position": [5, 12], "step": 122, "ordinal_position": 123}, {"identifier": "N55", "position": [5, 11], "step": 123, "ordinal_position": 124}, {"identifier": "O88", "position": [6, 11], "step": 124, "ordinal_position": 125}, {"identifier": "F20", "position": [7, 11], "step": 125, "ordinal_position": 126}, {"identifier": "C78", "position": [8, 11], "step": 126, "ordinal_position": 127}, {"identifier": "L53", "position": [9, 11], "step": 127, "ordinal_position": 128}, {"identifier": "A50", "position": [9, 10], "step": 128, "ordinal_position": 129}, {"identifier": "W41", "position": [9, 9], "step": 129, "ordinal_position": 130}, {"identifier": "S00", "position": [9, 8], "step": 130, "ordinal_position": 131}, {"identifier": "V52", "position": [9, 7], "step": 131, "ordinal_position": 132}, {"identifier": "G59", "position": [10, 7], "step": 132, "ordinal_position": 133}, {"identifier": "A83", "position": [11, 7], "step": 133, "ordinal_position": 134}, {"identifier": "S31", "position": [12, 7], "step": 134, "ordinal_position": 135}, {"identifier": "C11", "position": [13, 7], "step": 135, "ordinal_position": 136}, {"identifier": "J84", "position": [14, 7], "step": 136, "ordinal_position": 137}, {"identifier": "E10", "position": [15, 7], "step": 137, "ordinal_position": 138}, {"identifier": "V58", "position": [16, 7], "step": 138, "ordinal_position": 139}, {"identifier": "T29", "position": [17, 7], "step": 139, "ordinal_position": 140}, {"identifier": "K47", "position": [18, 7], "step": 140, "ordinal_position": 141}, {"identifier": "L22", "position": [19, 7], "step": 141, "ordinal_position": 142}, {"identifier": "W23", "position": [19, 8], "step": 142, "ordinal_position": 143}, {"identifier": "H58", "position": [19, 9], "step": 143, "ordinal_position": 144}, {"identifier": "T55", "position": [19, 10], "step": 144, "ordinal_position": 145}, {"identifier": "C60", "position": [19, 11], "step": 145, "ordinal_position": 146}, {"identifier": "Z85", "position": [19, 12], "step": 146, "ordinal_position": 147}, {"identifier": "A19", "position": [19, 13], "step": 147, "ordinal_position": 148}, {"identifier": "P17", "position": [19, 14], "step": 148, "ordinal_position": 149}, {"identifier": "C50", "position": [19, 15], "step": 149, "ordinal_position": 150}, {"identifier": "V03", "position": [19, 16], "step": 150, "ordinal_position": 151}, {"identifier": "E69", "position": [19, 17], "step": 151, "ordinal_position": 152}, {"identifier": "T37", "position": [19, 18], "step": 152, "ordinal_position": 153}, {"identifier": "F70", "position": [19, 19], "step": 153, "ordinal_position": 154}, {"identifier": "Z25", "position": [18, 19], "step": 154, "ordinal_position": 155}, {"identifier": "U25", "position": [17, 19], "step": 155, "ordinal_position": 156}, {"identifier": "E79", "position": [16, 19], "step": 156, "ordinal_position": 157}, {"identifier": "I82", "position": [15, 19], "step": 157, "ordinal_position": 158}, {"identifier": "G11", "position": [15, 18], "step": 158, "ordinal_position": 159}, {"identifier": "P03", "position": [15, 17], "step": 159, "ordinal_position": 160}, {"identifier": "T62", "position": [15, 16], "step": 160, "ordinal_position": 161}, {"identifier": "F24", "position": [15, 15], "step": 161, "ordinal_position": 162}, {"identifier": "B34", "position": [15, 14], "step": 162, "ordinal_position": 163}, {"identifier": "X08", "position": [15, 13], "step": 163, "ordinal_position": 164}, {"identifier": "R57", "position": [16, 13], "step": 164, "ordinal_position": 165}, {"identifier": "E67", "position": [17, 13], "step": 165, "ordinal_position": 166}, {"identifier": "D04", "position": [17, 14], "step": 166, "ordinal_position": 167}, {"identifier": "C45", "position": [17, 15], "step": 167, "ordinal_position": 168}, {"identifier": "F15", "position": [17, 16], "step": 168, "ordinal_position": 169}, {"identifier": "Y25", "position": [17, 17], "step": 169, "ordinal_position": 170}, {"identifier": "A40", "position": [16, 17], "step": 170, "ordinal_position": 171}, {"identifier": "P03", "position": [15, 17], "step": 171, "ordinal_position": 172}, {"identifier": "P75", "position": [14, 17], "step": 172, "ordinal_position": 173}, {"identifier": "D07", "position": [13, 17], "step": 173, "ordinal_position": 174}, {"identifier": "E28", "position": [13, 18], "step": 174, "ordinal_position": 175}, {"identifier": "P24", "position": [13, 19], "step": 175, "ordinal_position": 176}, {"identifier": "L13", "position": [12, 19], "step": 176, "ordinal_position": 177}, {"identifier": "V93", "position": [11, 19], "step": 177, "ordinal_position": 178}, {"identifier": "Q66", "position": [10, 19], "step": 178, "ordinal_position": 179}, {"identifier": "F42", "position": [9, 19], "step": 179, "ordinal_position": 180}, {"identifier": "Z61", "position": [9, 18], "step": 180, "ordinal_position": 181}, {"identifier": "J23", "position": [9, 17], "step": 181, "ordinal_position": 182}, {"identifier": "I27", "position": [9, 16], "step": 182, "ordinal_position": 183}, {"identifier": "M02", "position": [9, 15], "step": 183, "ordinal_position": 184}, {"identifier": "H70", "position": [9, 14], "step": 184, "ordinal_position": 185}, {"identifier": "U77", "position": [9, 13], "step": 185, "ordinal_position": 186}, {"identifier": "K22", "position": [8, 13], "step": 186, "ordinal_position": 187}, {"identifier": "O82", "position": [7, 13], "step": 187, "ordinal_position": 188}, {"identifier": "H44", "position": [7, 14], "step": 188, "ordinal_position": 189}, {"identifier": "L32", "position": [7, 15], "step": 189, "ordinal_position": 190}, {"identifier": "L37", "position": [6, 15], "step": 190, "ordinal_position": 191}, {"identifier": "S19", "position": [5, 15], "step": 191, "ordinal_position": 192}, {"identifier": "B33", "position": [5, 14], "step": 192, "ordinal_position": 193}, {"identifier": "W87", "position": [5, 13], "step": 193, "ordinal_position": 194}, {"identifier": "C04", "position": [5, 12], "step": 194, "ordinal_position": 195}, {"identifier": "N55", "position": [5, 11], "step": 195, "ordinal_position": 196}, {"identifier": "O88", "position": [6, 11], "step": 196, "ordinal_position": 197}, {"identifier": "F20", "position": [7, 11], "step": 197, "ordinal_position": 198}, {"identifier": "C78", "position": [8, 11], "step": 198, "ordinal_position": 199}, {"identifier": "L53", "position": [9, 11], "step": 199, "ordinal_position": 200}, {"identifier": "A50", "position": [9, 10], "step": 200, "ordinal_position": 201}, {"identifier": "W41", "position": [9, 9], "step": 201, "ordinal_position": 202}, {"identifier": "S00", "position": [9, 8], "step": 202, "ordinal_position": 203}, {"identifier": "V52", "position": [9, 7], "step": 203, "ordinal_position": 204}, {"identifier": "G59", "position": [10, 7], "step": 204, "ordinal_position": 205}, {"identifier": "A83", "position": [11, 7], "step": 205, "ordinal_position": 206}, {"identifier": "S31", "position": [12, 7], "step": 206, "ordinal_position": 207}, {"identifier": "C11", "position": [13, 7], "step": 207, "ordinal_position": 208}, {"identifier": "J84", "position": [14, 7], "step": 208, "ordinal_position": 209}, {"identifier": "E10", "position": [15, 7], "step": 209, "ordinal_position": 210}, {"identifier": "V58", "position": [16, 7], "step": 210, "ordinal_position": 211}, {"identifier": "T29", "position": [17, 7], "step": 211, "ordinal_position": 212}, {"identifier": "K47", "position": [18, 7], "step": 212, "ordinal_position": 213}, {"identifier": "L22", "position": [19, 7], "step": 213, "ordinal_position": 214}, {"identifier": "W23", "position": [19, 8], "step": 214, "ordinal_position": 215}, {"identifier": "H58", "position": [19, 9], "step": 215, "ordinal_position": 216}, {"identifier": "T55", "position": [19, 10], "step": 216, "ordinal_position": 217}, {"identifier": "C60", "position": [19, 11], "step": 217, "ordinal_position": 218}, {"identifier": "Z85", "position": [19, 12], "step": 218, "ordinal_position": 219}, {"identifier": "A19", "position": [19, 13], "step": 219, "ordinal_position": 220}, {"identifier": "P17", "position": [19, 14], "step": 220, "ordinal_position": 221}, {"identifier": "C50", "position": [19, 15], "step": 221, "ordinal_position": 222}, {"identifier": "V03", "position": [19, 16], "step": 222, "ordinal_position": 223}, {"identifier": "E69", "position": [19, 17], "step": 223, "ordinal_position": 224}, {"identifier": "T37", "position": [19, 18], "step": 224, "ordinal_position": 225}, {"identifier": "F70", "position": [19, 19], "step": 225, "ordinal_position": 226}, {"identifier": "Z25", "position": [18, 19], "step": 226, "ordinal_position": 227}, {"identifier": "U25", "position": [17, 19], "step": 227, "ordinal_position": 228}, {"identifier": "E79", "position": [16, 19], "step": 228, "ordinal_position": 229}, {"identifier": "I82", "position": [15, 19], "step": 229, "ordinal_position": 230}, {"identifier": "G11", "position": [15, 18], "step": 230, "ordinal_position": 231}, {"identifier": "P03", "position": [15, 17], "step": 231, "ordinal_position": 232}, {"identifier": "T62", "position": [15, 16], "step": 232, "ordinal_position": 233}, {"identifier": "F24", "position": [15, 15], "step": 233, "ordinal_position": 234}, {"identifier": "B34", "position": [15, 14], "step": 234, "ordinal_position": 235}, {"identifier": "X08", "position": [15, 13], "step": 235, "ordinal_position": 236}, {"identifier": "R57", "position": [16, 13], "step": 236, "ordinal_position": 237}, {"identifier": "E67", "position": [17, 13], "step": 237, "ordinal_position": 238}, {"identifier": "D04", "position": [17, 14], "step": 238, "ordinal_position": 239}, {"identifier": "C45", "position": [17, 15], "step": 239, "ordinal_position": 240}, {"identifier": "F15", "position": [17, 16], "step": 240, "ordinal_position": 241}, {"identifier": "Y25", "position": [17, 17], "step": 241, "ordinal_position": 242}, {"identifier": "A40", "position": [16, 17], "step": 242, "ordinal_position": 243}, {"identifier": "P03", "position": [15, 17], "step": 243, "ordinal_position": 244}, {"identifier": "P75", "position": [14, 17], "step": 244, "ordinal_position": 245}, {"identifier": "D07", "position": [13, 17], "step": 245, "ordinal_position": 246}, {"identifier": "E28", "position": [13, 18], "step": 246, "ordinal_position": 247}, {"identifier": "P24", "position": [13, 19], "step": 247, "ordinal_position": 248}, {"identifier": "L13", "position": [12, 19], "step": 248, "ordinal_position": 249}, {"identifier": "V93", "position": [11, 19], "step": 249, "ordinal_position": 250}, {"identifier": "Q66", "position": [10, 19], "step": 250, "ordinal_position": 251}, {"identifier": "F42", "position": [9, 19], "step": 251, "ordinal_position": 252}, {"identifier": "Z61", "position": [9, 18], "step": 252, "ordinal_position": 253}, {"identifier": "J23", "position": [9, 17], "step": 253, "ordinal_position": 254}, {"identifier": "I27", "position": [9, 16], "step": 254, "ordinal_position": 255}, {"identifier": "M02", "position": [9, 15], "step": 255, "ordinal_position": 256}, {"identifier": "H70", "position": [9, 14], "step": 256, "ordinal_position": 257}, {"identifier": "U77", "position": [9, 13], "step": 257, "ordinal_position": 258}, {"identifier": "K22", "position": [8, 13], "step": 258, "ordinal_position": 259}, {"identifier": "O82", "position": [7, 13], "step": 259, "ordinal_position": 260}, {"identifier": "H44", "position": [7, 14], "step": 260, "ordinal_position": 261}, {"identifier": "L32", "position": [7, 15], "step": 261, "ordinal_position": 262}, {"identifier": "L37", "position": [6, 15], "step": 262, "ordinal_position": 263}, {"identifier": "S19", "position": [5, 15], "step": 263, "ordinal_position": 264}, {"identifier": "B33", "position": [5, 14], "step": 264, "ordinal_position": 265}, {"identifier": "W87", "position": [5, 13], "step": 265, "ordinal_position": 266}, {"identifier": "C04", "position": [5, 12], "step": 266, "ordinal_position": 267}, {"identifier": "N55", "position": [5, 11], "step": 267, "ordinal_position": 268}, {"identifier": "O88", "position": [6, 11], "step": 268, "ordinal_position": 269}, {"identifier": "F20", "position": [7, 11], "step": 269, "ordinal_position": 270}, {"identifier": "C78", "position": [8, 11], "step": 270, "ordinal_position": 271}, {"identifier": "L53", "position": [9, 11], "step": 271, "ordinal_position": 272}, {"identifier": "A50", "position": [9, 10], "step": 272, "ordinal_position": 273}, {"identifier": "W41", "position": [9, 9], "step": 273, "ordinal_position": 274}, {"identifier": "S00", "position": [9, 8], "step": 274, "ordinal_position": 275}, {"identifier": "V52", "position": [9, 7], "step": 275, "ordinal_position": 276}, {"identifier": "G59", "position": [10, 7], "step": 276, "ordinal_position": 277}, {"identifier": "A83", "position": [11, 7], "step": 277, "ordinal_position": 278}, {"identifier": "S31", "position": [12, 7], "step": 278, "ordinal_position": 279}, {"identifier": "C11", "position": [13, 7], "step": 279, "ordinal_position": 280}, {"identifier": "J84", "position": [14, 7], "step": 280, "ordinal_position": 281}, {"identifier": "E10", "position": [15, 7], "step": 281, "ordinal_position": 282}, {"identifier": "V58", "position": [16, 7], "step": 282, "ordinal_position": 283}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 283, "direction": "down", "turn_preference": "right", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_006.json"}} {"qa_id": "85e459654c784e5bb7b81149d9cec9f9", "image_id": "L3-MazeLoop-test_21x21_006", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F50, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 170th position in this traversal?", "start_object_id": "F50", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [170], "ordinal_strings": ["170th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "A83", "traversal_path": [{"identifier": "F50", "position": [12, 13], "step": 0, "ordinal_position": 1}, {"identifier": "B26", "position": [13, 13], "step": 1, "ordinal_position": 2}, {"identifier": "T26", "position": [13, 14], "step": 2, "ordinal_position": 3}, {"identifier": "D83", "position": [13, 15], "step": 3, "ordinal_position": 4}, {"identifier": "S05", "position": [12, 15], "step": 4, "ordinal_position": 5}, {"identifier": "J42", "position": [11, 15], "step": 5, "ordinal_position": 6}, {"identifier": "R84", "position": [11, 16], "step": 6, "ordinal_position": 7}, {"identifier": "X15", "position": [11, 17], "step": 7, "ordinal_position": 8}, {"identifier": "P60", "position": [10, 17], "step": 8, "ordinal_position": 9}, {"identifier": "J23", "position": [9, 17], "step": 9, "ordinal_position": 10}, {"identifier": "L19", "position": [8, 17], "step": 10, "ordinal_position": 11}, {"identifier": "Y32", "position": [7, 17], "step": 11, "ordinal_position": 12}, {"identifier": "T67", "position": [7, 18], "step": 12, "ordinal_position": 13}, {"identifier": "O76", "position": [7, 19], "step": 13, "ordinal_position": 14}, {"identifier": "X30", "position": [6, 19], "step": 14, "ordinal_position": 15}, {"identifier": "T40", "position": [5, 19], "step": 15, "ordinal_position": 16}, {"identifier": "H21", "position": [4, 19], "step": 16, "ordinal_position": 17}, {"identifier": "W12", "position": [3, 19], "step": 17, "ordinal_position": 18}, {"identifier": "F55", "position": [2, 19], "step": 18, "ordinal_position": 19}, {"identifier": "S51", "position": [1, 19], "step": 19, "ordinal_position": 20}, {"identifier": "H52", "position": [1, 18], "step": 20, "ordinal_position": 21}, {"identifier": "J26", "position": [1, 17], "step": 21, "ordinal_position": 22}, {"identifier": "O09", "position": [1, 16], "step": 22, "ordinal_position": 23}, {"identifier": "E44", "position": [1, 15], "step": 23, "ordinal_position": 24}, {"identifier": "W35", "position": [1, 14], "step": 24, "ordinal_position": 25}, {"identifier": "P90", "position": [1, 13], "step": 25, "ordinal_position": 26}, {"identifier": "Z31", "position": [1, 12], "step": 26, "ordinal_position": 27}, {"identifier": "L46", "position": [1, 11], "step": 27, "ordinal_position": 28}, {"identifier": "Y19", "position": [2, 11], "step": 28, "ordinal_position": 29}, {"identifier": "U46", "position": [3, 11], "step": 29, "ordinal_position": 30}, {"identifier": "B24", "position": [3, 10], "step": 30, "ordinal_position": 31}, {"identifier": "X10", "position": [3, 9], "step": 31, "ordinal_position": 32}, {"identifier": "G18", "position": [2, 9], "step": 32, "ordinal_position": 33}, {"identifier": "S06", "position": [1, 9], "step": 33, "ordinal_position": 34}, {"identifier": "H88", "position": [1, 8], "step": 34, "ordinal_position": 35}, {"identifier": "T86", "position": [1, 7], "step": 35, "ordinal_position": 36}, {"identifier": "H09", "position": [2, 7], "step": 36, "ordinal_position": 37}, {"identifier": "Q10", "position": [3, 7], "step": 37, "ordinal_position": 38}, {"identifier": "R17", "position": [4, 7], "step": 38, "ordinal_position": 39}, {"identifier": "S16", "position": [5, 7], "step": 39, "ordinal_position": 40}, {"identifier": "R16", "position": [5, 8], "step": 40, "ordinal_position": 41}, {"identifier": "W57", "position": [5, 9], "step": 41, "ordinal_position": 42}, {"identifier": "K44", "position": [6, 9], "step": 42, "ordinal_position": 43}, {"identifier": "S99", "position": [7, 9], "step": 43, "ordinal_position": 44}, {"identifier": "X72", "position": [7, 8], "step": 44, "ordinal_position": 45}, {"identifier": "F60", "position": [7, 7], "step": 45, "ordinal_position": 46}, {"identifier": "V19", "position": [7, 6], "step": 46, "ordinal_position": 47}, {"identifier": "B14", "position": [7, 5], "step": 47, "ordinal_position": 48}, {"identifier": "V74", "position": [8, 5], "step": 48, "ordinal_position": 49}, {"identifier": "E91", "position": [9, 5], "step": 49, "ordinal_position": 50}, {"identifier": "J07", "position": [9, 4], "step": 50, "ordinal_position": 51}, {"identifier": "W97", "position": [9, 3], "step": 51, "ordinal_position": 52}, {"identifier": "K86", "position": [9, 2], "step": 52, "ordinal_position": 53}, {"identifier": "B31", "position": [9, 1], "step": 53, "ordinal_position": 54}, {"identifier": "X95", "position": [10, 1], "step": 54, "ordinal_position": 55}, {"identifier": "O75", "position": [11, 1], "step": 55, "ordinal_position": 56}, {"identifier": "Y27", "position": [12, 1], "step": 56, "ordinal_position": 57}, {"identifier": "Q28", "position": [13, 1], "step": 57, "ordinal_position": 58}, {"identifier": "N95", "position": [14, 1], "step": 58, "ordinal_position": 59}, {"identifier": "C42", "position": [15, 1], "step": 59, "ordinal_position": 60}, {"identifier": "L95", "position": [16, 1], "step": 60, "ordinal_position": 61}, {"identifier": "F61", "position": [17, 1], "step": 61, "ordinal_position": 62}, {"identifier": "X44", "position": [18, 1], "step": 62, "ordinal_position": 63}, {"identifier": "J20", "position": [19, 1], "step": 63, "ordinal_position": 64}, {"identifier": "C13", "position": [19, 2], "step": 64, "ordinal_position": 65}, {"identifier": "Q36", "position": [19, 3], "step": 65, "ordinal_position": 66}, {"identifier": "H73", "position": [19, 4], "step": 66, "ordinal_position": 67}, {"identifier": "G15", "position": [19, 5], "step": 67, "ordinal_position": 68}, {"identifier": "V31", "position": [19, 6], "step": 68, "ordinal_position": 69}, {"identifier": "L22", "position": [19, 7], "step": 69, "ordinal_position": 70}, {"identifier": "W23", "position": [19, 8], "step": 70, "ordinal_position": 71}, {"identifier": "H58", "position": [19, 9], "step": 71, "ordinal_position": 72}, {"identifier": "T55", "position": [19, 10], "step": 72, "ordinal_position": 73}, {"identifier": "C60", "position": [19, 11], "step": 73, "ordinal_position": 74}, {"identifier": "Z85", "position": [19, 12], "step": 74, "ordinal_position": 75}, {"identifier": "A19", "position": [19, 13], "step": 75, "ordinal_position": 76}, {"identifier": "P17", "position": [19, 14], "step": 76, "ordinal_position": 77}, {"identifier": "C50", "position": [19, 15], "step": 77, "ordinal_position": 78}, {"identifier": "V03", "position": [19, 16], "step": 78, "ordinal_position": 79}, {"identifier": "E69", "position": [19, 17], "step": 79, "ordinal_position": 80}, {"identifier": "T37", "position": [19, 18], "step": 80, "ordinal_position": 81}, {"identifier": "F70", "position": [19, 19], "step": 81, "ordinal_position": 82}, {"identifier": "Z25", "position": [18, 19], "step": 82, "ordinal_position": 83}, {"identifier": "U25", "position": [17, 19], "step": 83, "ordinal_position": 84}, {"identifier": "E79", "position": [16, 19], "step": 84, "ordinal_position": 85}, {"identifier": "I82", "position": [15, 19], "step": 85, "ordinal_position": 86}, {"identifier": "G11", "position": [15, 18], "step": 86, "ordinal_position": 87}, {"identifier": "P03", "position": [15, 17], "step": 87, "ordinal_position": 88}, {"identifier": "T62", "position": [15, 16], "step": 88, "ordinal_position": 89}, {"identifier": "F24", "position": [15, 15], "step": 89, "ordinal_position": 90}, {"identifier": "B34", "position": [15, 14], "step": 90, "ordinal_position": 91}, {"identifier": "X08", "position": [15, 13], "step": 91, "ordinal_position": 92}, {"identifier": "R57", "position": [16, 13], "step": 92, "ordinal_position": 93}, {"identifier": "E67", "position": [17, 13], "step": 93, "ordinal_position": 94}, {"identifier": "K36", "position": [17, 12], "step": 94, "ordinal_position": 95}, {"identifier": "X59", "position": [17, 11], "step": 95, "ordinal_position": 96}, {"identifier": "Z67", "position": [17, 10], "step": 96, "ordinal_position": 97}, {"identifier": "G72", "position": [17, 9], "step": 97, "ordinal_position": 98}, {"identifier": "J13", "position": [16, 9], "step": 98, "ordinal_position": 99}, {"identifier": "J76", "position": [15, 9], "step": 99, "ordinal_position": 100}, {"identifier": "R42", "position": [14, 9], "step": 100, "ordinal_position": 101}, {"identifier": "D17", "position": [13, 9], "step": 101, "ordinal_position": 102}, {"identifier": "S36", "position": [12, 9], "step": 102, "ordinal_position": 103}, {"identifier": "X28", "position": [11, 9], "step": 103, "ordinal_position": 104}, {"identifier": "D58", "position": [11, 8], "step": 104, "ordinal_position": 105}, {"identifier": "A83", "position": [11, 7], "step": 105, "ordinal_position": 106}, {"identifier": "G59", "position": [10, 7], "step": 106, "ordinal_position": 107}, {"identifier": "V52", "position": [9, 7], "step": 107, "ordinal_position": 108}, {"identifier": "S00", "position": [9, 8], "step": 108, "ordinal_position": 109}, {"identifier": "W41", "position": [9, 9], "step": 109, "ordinal_position": 110}, {"identifier": "A50", "position": [9, 10], "step": 110, "ordinal_position": 111}, {"identifier": "L53", "position": [9, 11], "step": 111, "ordinal_position": 112}, {"identifier": "C78", "position": [8, 11], "step": 112, "ordinal_position": 113}, {"identifier": "F20", "position": [7, 11], "step": 113, "ordinal_position": 114}, {"identifier": "O88", "position": [6, 11], "step": 114, "ordinal_position": 115}, {"identifier": "N55", "position": [5, 11], "step": 115, "ordinal_position": 116}, {"identifier": "C04", "position": [5, 12], "step": 116, "ordinal_position": 117}, {"identifier": "W87", "position": [5, 13], "step": 117, "ordinal_position": 118}, {"identifier": "B33", "position": [5, 14], "step": 118, "ordinal_position": 119}, {"identifier": "S19", "position": [5, 15], "step": 119, "ordinal_position": 120}, {"identifier": "A39", "position": [5, 16], "step": 120, "ordinal_position": 121}, {"identifier": "D50", "position": [5, 17], "step": 121, "ordinal_position": 122}, {"identifier": "D16", "position": [4, 17], "step": 122, "ordinal_position": 123}, {"identifier": "Y39", "position": [3, 17], "step": 123, "ordinal_position": 124}, {"identifier": "L71", "position": [3, 16], "step": 124, "ordinal_position": 125}, {"identifier": "G68", "position": [3, 15], "step": 125, "ordinal_position": 126}, {"identifier": "L75", "position": [3, 14], "step": 126, "ordinal_position": 127}, {"identifier": "B38", "position": [3, 13], "step": 127, "ordinal_position": 128}, {"identifier": "Y38", "position": [2, 13], "step": 128, "ordinal_position": 129}, {"identifier": "P90", "position": [1, 13], "step": 129, "ordinal_position": 130}, {"identifier": "W35", "position": [1, 14], "step": 130, "ordinal_position": 131}, {"identifier": "E44", "position": [1, 15], "step": 131, "ordinal_position": 132}, {"identifier": "O09", "position": [1, 16], "step": 132, "ordinal_position": 133}, {"identifier": "J26", "position": [1, 17], "step": 133, "ordinal_position": 134}, {"identifier": "H52", "position": [1, 18], "step": 134, "ordinal_position": 135}, {"identifier": "S51", "position": [1, 19], "step": 135, "ordinal_position": 136}, {"identifier": "F55", "position": [2, 19], "step": 136, "ordinal_position": 137}, {"identifier": "W12", "position": [3, 19], "step": 137, "ordinal_position": 138}, {"identifier": "H21", "position": [4, 19], "step": 138, "ordinal_position": 139}, {"identifier": "T40", "position": [5, 19], "step": 139, "ordinal_position": 140}, {"identifier": "X30", "position": [6, 19], "step": 140, "ordinal_position": 141}, {"identifier": "O76", "position": [7, 19], "step": 141, "ordinal_position": 142}, {"identifier": "T67", "position": [7, 18], "step": 142, "ordinal_position": 143}, {"identifier": "Y32", "position": [7, 17], "step": 143, "ordinal_position": 144}, {"identifier": "L19", "position": [8, 17], "step": 144, "ordinal_position": 145}, {"identifier": "J23", "position": [9, 17], "step": 145, "ordinal_position": 146}, {"identifier": "P60", "position": [10, 17], "step": 146, "ordinal_position": 147}, {"identifier": "X15", "position": [11, 17], "step": 147, "ordinal_position": 148}, {"identifier": "R84", "position": [11, 16], "step": 148, "ordinal_position": 149}, {"identifier": "J42", "position": [11, 15], "step": 149, "ordinal_position": 150}, {"identifier": "S05", "position": [12, 15], "step": 150, "ordinal_position": 151}, {"identifier": "D83", "position": [13, 15], "step": 151, "ordinal_position": 152}, {"identifier": "T26", "position": [13, 14], "step": 152, "ordinal_position": 153}, {"identifier": "B26", "position": [13, 13], "step": 153, "ordinal_position": 154}, {"identifier": "F50", "position": [12, 13], "step": 154, "ordinal_position": 155}, {"identifier": "I76", "position": [11, 13], "step": 155, "ordinal_position": 156}, {"identifier": "T91", "position": [11, 12], "step": 156, "ordinal_position": 157}, {"identifier": "R64", "position": [11, 11], "step": 157, "ordinal_position": 158}, {"identifier": "W27", "position": [12, 11], "step": 158, "ordinal_position": 159}, {"identifier": "T00", "position": [13, 11], "step": 159, "ordinal_position": 160}, {"identifier": "U57", "position": [14, 11], "step": 160, "ordinal_position": 161}, {"identifier": "N32", "position": [15, 11], "step": 161, "ordinal_position": 162}, {"identifier": "A10", "position": [15, 10], "step": 162, "ordinal_position": 163}, {"identifier": "J76", "position": [15, 9], "step": 163, "ordinal_position": 164}, {"identifier": "R42", "position": [14, 9], "step": 164, "ordinal_position": 165}, {"identifier": "D17", "position": [13, 9], "step": 165, "ordinal_position": 166}, {"identifier": "S36", "position": [12, 9], "step": 166, "ordinal_position": 167}, {"identifier": "X28", "position": [11, 9], "step": 167, "ordinal_position": 168}, {"identifier": "D58", "position": [11, 8], "step": 168, "ordinal_position": 169}, {"identifier": "A83", "position": [11, 7], "step": 169, "ordinal_position": 170}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 170, "direction": "right", "turn_preference": "left", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_006.json"}} {"qa_id": "0cc76dc8e1514b188d1e76f00eec424a", "image_id": "L3-MazeLoop-test_21x21_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F98, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "F98", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "F03", "traversal_path": [{"identifier": "F98", "position": [7, 5], "step": 0, "ordinal_position": 1}, {"identifier": "U97", "position": [6, 5], "step": 1, "ordinal_position": 2}, {"identifier": "T42", "position": [5, 5], "step": 2, "ordinal_position": 3}, {"identifier": "H50", "position": [5, 4], "step": 3, "ordinal_position": 4}, {"identifier": "T67", "position": [5, 3], "step": 4, "ordinal_position": 5}, {"identifier": "W69", "position": [5, 2], "step": 5, "ordinal_position": 6}, {"identifier": "F03", "position": [5, 1], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 7, "direction": "left", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_007.json"}} {"qa_id": "1448fd19fced4f7b8ced71227494fdb9", "image_id": "L3-MazeLoop-test_21x21_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J13, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "J13", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "U52", "traversal_path": [{"identifier": "J13", "position": [9, 18], "step": 0, "ordinal_position": 1}, {"identifier": "Q44", "position": [9, 19], "step": 1, "ordinal_position": 2}, {"identifier": "O35", "position": [8, 19], "step": 2, "ordinal_position": 3}, {"identifier": "H93", "position": [7, 19], "step": 3, "ordinal_position": 4}, {"identifier": "U54", "position": [6, 19], "step": 4, "ordinal_position": 5}, {"identifier": "T99", "position": [5, 19], "step": 5, "ordinal_position": 6}, {"identifier": "G32", "position": [5, 18], "step": 6, "ordinal_position": 7}, {"identifier": "U52", "position": [5, 17], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 8, "direction": "down", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_007.json"}} {"qa_id": "95b2dd2f447645bc914e687efb0c717e", "image_id": "L3-MazeLoop-test_21x21_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J03, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 18th position in this traversal?", "start_object_id": "J03", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [18], "ordinal_strings": ["18th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "O10", "traversal_path": [{"identifier": "J03", "position": [13, 15], "step": 0, "ordinal_position": 1}, {"identifier": "U81", "position": [13, 14], "step": 1, "ordinal_position": 2}, {"identifier": "S33", "position": [13, 13], "step": 2, "ordinal_position": 3}, {"identifier": "U91", "position": [13, 12], "step": 3, "ordinal_position": 4}, {"identifier": "L34", "position": [13, 11], "step": 4, "ordinal_position": 5}, {"identifier": "T06", "position": [12, 11], "step": 5, "ordinal_position": 6}, {"identifier": "Y19", "position": [11, 11], "step": 6, "ordinal_position": 7}, {"identifier": "O31", "position": [11, 10], "step": 7, "ordinal_position": 8}, {"identifier": "Y82", "position": [11, 9], "step": 8, "ordinal_position": 9}, {"identifier": "K84", "position": [10, 9], "step": 9, "ordinal_position": 10}, {"identifier": "O98", "position": [9, 9], "step": 10, "ordinal_position": 11}, {"identifier": "K17", "position": [8, 9], "step": 11, "ordinal_position": 12}, {"identifier": "N61", "position": [7, 9], "step": 12, "ordinal_position": 13}, {"identifier": "F90", "position": [6, 9], "step": 13, "ordinal_position": 14}, {"identifier": "F70", "position": [5, 9], "step": 14, "ordinal_position": 15}, {"identifier": "K62", "position": [4, 9], "step": 15, "ordinal_position": 16}, {"identifier": "Z35", "position": [3, 9], "step": 16, "ordinal_position": 17}, {"identifier": "O10", "position": [2, 9], "step": 17, "ordinal_position": 18}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 18, "direction": "up", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_007.json"}} {"qa_id": "a350734ea1c748289488c6720c8fd65d", "image_id": "L3-MazeLoop-test_21x21_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T15, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "T15", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "G21", "traversal_path": [{"identifier": "T15", "position": [9, 3], "step": 0, "ordinal_position": 1}, {"identifier": "V73", "position": [9, 2], "step": 1, "ordinal_position": 2}, {"identifier": "K31", "position": [9, 1], "step": 2, "ordinal_position": 3}, {"identifier": "A58", "position": [8, 1], "step": 3, "ordinal_position": 4}, {"identifier": "W24", "position": [7, 1], "step": 4, "ordinal_position": 5}, {"identifier": "G21", "position": [6, 1], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 6, "direction": "up", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_007.json"}} {"qa_id": "fd53838a1822496db3d5ef3868139de8", "image_id": "L3-MazeLoop-test_21x21_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U91, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 19th position in this traversal?", "start_object_id": "U91", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [19], "ordinal_strings": ["19th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "R76", "traversal_path": [{"identifier": "U91", "position": [13, 12], "step": 0, "ordinal_position": 1}, {"identifier": "L34", "position": [13, 11], "step": 1, "ordinal_position": 2}, {"identifier": "T06", "position": [12, 11], "step": 2, "ordinal_position": 3}, {"identifier": "Y19", "position": [11, 11], "step": 3, "ordinal_position": 4}, {"identifier": "O31", "position": [11, 10], "step": 4, "ordinal_position": 5}, {"identifier": "Y82", "position": [11, 9], "step": 5, "ordinal_position": 6}, {"identifier": "K84", "position": [10, 9], "step": 6, "ordinal_position": 7}, {"identifier": "O98", "position": [9, 9], "step": 7, "ordinal_position": 8}, {"identifier": "K17", "position": [8, 9], "step": 8, "ordinal_position": 9}, {"identifier": "N61", "position": [7, 9], "step": 9, "ordinal_position": 10}, {"identifier": "F90", "position": [6, 9], "step": 10, "ordinal_position": 11}, {"identifier": "F70", "position": [5, 9], "step": 11, "ordinal_position": 12}, {"identifier": "K62", "position": [4, 9], "step": 12, "ordinal_position": 13}, {"identifier": "Z35", "position": [3, 9], "step": 13, "ordinal_position": 14}, {"identifier": "O10", "position": [2, 9], "step": 14, "ordinal_position": 15}, {"identifier": "F35", "position": [1, 9], "step": 15, "ordinal_position": 16}, {"identifier": "N57", "position": [1, 8], "step": 16, "ordinal_position": 17}, {"identifier": "D51", "position": [1, 7], "step": 17, "ordinal_position": 18}, {"identifier": "R76", "position": [1, 6], "step": 18, "ordinal_position": 19}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 19, "direction": "up", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_007.json"}} {"qa_id": "d3aa8058f4dc41daa91e60e6e26b4717", "image_id": "L3-MazeLoop-test_21x21_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P02, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 72nd position in this traversal?", "start_object_id": "P02", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [72], "ordinal_strings": ["72nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M40", "traversal_path": [{"identifier": "P02", "position": [11, 17], "step": 0, "ordinal_position": 1}, {"identifier": "S76", "position": [12, 17], "step": 1, "ordinal_position": 2}, {"identifier": "E72", "position": [13, 17], "step": 2, "ordinal_position": 3}, {"identifier": "Q41", "position": [14, 17], "step": 3, "ordinal_position": 4}, {"identifier": "C59", "position": [15, 17], "step": 4, "ordinal_position": 5}, {"identifier": "M40", "position": [16, 17], "step": 5, "ordinal_position": 6}, {"identifier": "T08", "position": [17, 17], "step": 6, "ordinal_position": 7}, {"identifier": "O09", "position": [18, 17], "step": 7, "ordinal_position": 8}, {"identifier": "Y40", "position": [19, 17], "step": 8, "ordinal_position": 9}, {"identifier": "B14", "position": [19, 18], "step": 9, "ordinal_position": 10}, {"identifier": "W47", "position": [19, 19], "step": 10, "ordinal_position": 11}, {"identifier": "A76", "position": [18, 19], "step": 11, "ordinal_position": 12}, {"identifier": "C99", "position": [17, 19], "step": 12, "ordinal_position": 13}, {"identifier": "G50", "position": [16, 19], "step": 13, "ordinal_position": 14}, {"identifier": "R54", "position": [15, 19], "step": 14, "ordinal_position": 15}, {"identifier": "H05", "position": [14, 19], "step": 15, "ordinal_position": 16}, {"identifier": "S02", "position": [13, 19], "step": 16, "ordinal_position": 17}, {"identifier": "U70", "position": [12, 19], "step": 17, "ordinal_position": 18}, {"identifier": "A87", "position": [11, 19], "step": 18, "ordinal_position": 19}, {"identifier": "O99", "position": [10, 19], "step": 19, "ordinal_position": 20}, {"identifier": "Q44", "position": [9, 19], "step": 20, "ordinal_position": 21}, {"identifier": "O35", "position": [8, 19], "step": 21, "ordinal_position": 22}, {"identifier": "H93", "position": [7, 19], "step": 22, "ordinal_position": 23}, {"identifier": "U54", "position": [6, 19], "step": 23, "ordinal_position": 24}, {"identifier": "T99", "position": [5, 19], "step": 24, "ordinal_position": 25}, {"identifier": "G32", "position": [5, 18], "step": 25, "ordinal_position": 26}, {"identifier": "U52", "position": [5, 17], "step": 26, "ordinal_position": 27}, {"identifier": "H97", "position": [6, 17], "step": 27, "ordinal_position": 28}, {"identifier": "O91", "position": [7, 17], "step": 28, "ordinal_position": 29}, {"identifier": "F36", "position": [7, 18], "step": 29, "ordinal_position": 30}, {"identifier": "H93", "position": [7, 19], "step": 30, "ordinal_position": 31}, {"identifier": "O35", "position": [8, 19], "step": 31, "ordinal_position": 32}, {"identifier": "Q44", "position": [9, 19], "step": 32, "ordinal_position": 33}, {"identifier": "O99", "position": [10, 19], "step": 33, "ordinal_position": 34}, {"identifier": "A87", "position": [11, 19], "step": 34, "ordinal_position": 35}, {"identifier": "U70", "position": [12, 19], "step": 35, "ordinal_position": 36}, {"identifier": "S02", "position": [13, 19], "step": 36, "ordinal_position": 37}, {"identifier": "H05", "position": [14, 19], "step": 37, "ordinal_position": 38}, {"identifier": "R54", "position": [15, 19], "step": 38, "ordinal_position": 39}, {"identifier": "G50", "position": [16, 19], "step": 39, "ordinal_position": 40}, {"identifier": "C99", "position": [17, 19], "step": 40, "ordinal_position": 41}, {"identifier": "A76", "position": [18, 19], "step": 41, "ordinal_position": 42}, {"identifier": "W47", "position": [19, 19], "step": 42, "ordinal_position": 43}, {"identifier": "B14", "position": [19, 18], "step": 43, "ordinal_position": 44}, {"identifier": "Y40", "position": [19, 17], "step": 44, "ordinal_position": 45}, {"identifier": "O09", "position": [18, 17], "step": 45, "ordinal_position": 46}, {"identifier": "T08", "position": [17, 17], "step": 46, "ordinal_position": 47}, {"identifier": "M40", "position": [16, 17], "step": 47, "ordinal_position": 48}, {"identifier": "C59", "position": [15, 17], "step": 48, "ordinal_position": 49}, {"identifier": "Q41", "position": [14, 17], "step": 49, "ordinal_position": 50}, {"identifier": "E72", "position": [13, 17], "step": 50, "ordinal_position": 51}, {"identifier": "S76", "position": [12, 17], "step": 51, "ordinal_position": 52}, {"identifier": "P02", "position": [11, 17], "step": 52, "ordinal_position": 53}, {"identifier": "T25", "position": [10, 17], "step": 53, "ordinal_position": 54}, {"identifier": "I64", "position": [9, 17], "step": 54, "ordinal_position": 55}, {"identifier": "J13", "position": [9, 18], "step": 55, "ordinal_position": 56}, {"identifier": "Q44", "position": [9, 19], "step": 56, "ordinal_position": 57}, {"identifier": "O99", "position": [10, 19], "step": 57, "ordinal_position": 58}, {"identifier": "A87", "position": [11, 19], "step": 58, "ordinal_position": 59}, {"identifier": "U70", "position": [12, 19], "step": 59, "ordinal_position": 60}, {"identifier": "S02", "position": [13, 19], "step": 60, "ordinal_position": 61}, {"identifier": "H05", "position": [14, 19], "step": 61, "ordinal_position": 62}, {"identifier": "R54", "position": [15, 19], "step": 62, "ordinal_position": 63}, {"identifier": "G50", "position": [16, 19], "step": 63, "ordinal_position": 64}, {"identifier": "C99", "position": [17, 19], "step": 64, "ordinal_position": 65}, {"identifier": "A76", "position": [18, 19], "step": 65, "ordinal_position": 66}, {"identifier": "W47", "position": [19, 19], "step": 66, "ordinal_position": 67}, {"identifier": "B14", "position": [19, 18], "step": 67, "ordinal_position": 68}, {"identifier": "Y40", "position": [19, 17], "step": 68, "ordinal_position": 69}, {"identifier": "O09", "position": [18, 17], "step": 69, "ordinal_position": 70}, {"identifier": "T08", "position": [17, 17], "step": 70, "ordinal_position": 71}, {"identifier": "M40", "position": [16, 17], "step": 71, "ordinal_position": 72}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 72, "direction": "right", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_007.json"}} {"qa_id": "06fc2ee816324f08a44fa0cb7af975b7", "image_id": "L3-MazeLoop-test_21x21_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A79, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 60th position in this traversal?", "start_object_id": "A79", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [60], "ordinal_strings": ["60th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "X00", "traversal_path": [{"identifier": "A79", "position": [19, 2], "step": 0, "ordinal_position": 1}, {"identifier": "R16", "position": [19, 3], "step": 1, "ordinal_position": 2}, {"identifier": "W29", "position": [19, 4], "step": 2, "ordinal_position": 3}, {"identifier": "B12", "position": [19, 5], "step": 3, "ordinal_position": 4}, {"identifier": "I18", "position": [19, 6], "step": 4, "ordinal_position": 5}, {"identifier": "P91", "position": [19, 7], "step": 5, "ordinal_position": 6}, {"identifier": "D47", "position": [19, 8], "step": 6, "ordinal_position": 7}, {"identifier": "A74", "position": [19, 9], "step": 7, "ordinal_position": 8}, {"identifier": "Q31", "position": [19, 10], "step": 8, "ordinal_position": 9}, {"identifier": "V78", "position": [19, 11], "step": 9, "ordinal_position": 10}, {"identifier": "S52", "position": [19, 12], "step": 10, "ordinal_position": 11}, {"identifier": "V43", "position": [19, 13], "step": 11, "ordinal_position": 12}, {"identifier": "D77", "position": [19, 14], "step": 12, "ordinal_position": 13}, {"identifier": "Y66", "position": [19, 15], "step": 13, "ordinal_position": 14}, {"identifier": "E34", "position": [18, 15], "step": 14, "ordinal_position": 15}, {"identifier": "J28", "position": [17, 15], "step": 15, "ordinal_position": 16}, {"identifier": "G38", "position": [16, 15], "step": 16, "ordinal_position": 17}, {"identifier": "K36", "position": [15, 15], "step": 17, "ordinal_position": 18}, {"identifier": "F85", "position": [14, 15], "step": 18, "ordinal_position": 19}, {"identifier": "J03", "position": [13, 15], "step": 19, "ordinal_position": 20}, {"identifier": "U81", "position": [13, 14], "step": 20, "ordinal_position": 21}, {"identifier": "S33", "position": [13, 13], "step": 21, "ordinal_position": 22}, {"identifier": "U91", "position": [13, 12], "step": 22, "ordinal_position": 23}, {"identifier": "L34", "position": [13, 11], "step": 23, "ordinal_position": 24}, {"identifier": "T06", "position": [12, 11], "step": 24, "ordinal_position": 25}, {"identifier": "Y19", "position": [11, 11], "step": 25, "ordinal_position": 26}, {"identifier": "O31", "position": [11, 10], "step": 26, "ordinal_position": 27}, {"identifier": "Y82", "position": [11, 9], "step": 27, "ordinal_position": 28}, {"identifier": "K84", "position": [10, 9], "step": 28, "ordinal_position": 29}, {"identifier": "O98", "position": [9, 9], "step": 29, "ordinal_position": 30}, {"identifier": "K17", "position": [8, 9], "step": 30, "ordinal_position": 31}, {"identifier": "N61", "position": [7, 9], "step": 31, "ordinal_position": 32}, {"identifier": "F90", "position": [6, 9], "step": 32, "ordinal_position": 33}, {"identifier": "F70", "position": [5, 9], "step": 33, "ordinal_position": 34}, {"identifier": "K62", "position": [4, 9], "step": 34, "ordinal_position": 35}, {"identifier": "Z35", "position": [3, 9], "step": 35, "ordinal_position": 36}, {"identifier": "O10", "position": [2, 9], "step": 36, "ordinal_position": 37}, {"identifier": "F35", "position": [1, 9], "step": 37, "ordinal_position": 38}, {"identifier": "N57", "position": [1, 8], "step": 38, "ordinal_position": 39}, {"identifier": "D51", "position": [1, 7], "step": 39, "ordinal_position": 40}, {"identifier": "R76", "position": [1, 6], "step": 40, "ordinal_position": 41}, {"identifier": "N35", "position": [1, 5], "step": 41, "ordinal_position": 42}, {"identifier": "F20", "position": [2, 5], "step": 42, "ordinal_position": 43}, {"identifier": "K14", "position": [3, 5], "step": 43, "ordinal_position": 44}, {"identifier": "J16", "position": [3, 6], "step": 44, "ordinal_position": 45}, {"identifier": "T76", "position": [3, 7], "step": 45, "ordinal_position": 46}, {"identifier": "V20", "position": [4, 7], "step": 46, "ordinal_position": 47}, {"identifier": "I40", "position": [5, 7], "step": 47, "ordinal_position": 48}, {"identifier": "V16", "position": [6, 7], "step": 48, "ordinal_position": 49}, {"identifier": "V14", "position": [7, 7], "step": 49, "ordinal_position": 50}, {"identifier": "W75", "position": [7, 6], "step": 50, "ordinal_position": 51}, {"identifier": "F98", "position": [7, 5], "step": 51, "ordinal_position": 52}, {"identifier": "T58", "position": [8, 5], "step": 52, "ordinal_position": 53}, {"identifier": "T63", "position": [9, 5], "step": 53, "ordinal_position": 54}, {"identifier": "W94", "position": [9, 6], "step": 54, "ordinal_position": 55}, {"identifier": "F79", "position": [9, 7], "step": 55, "ordinal_position": 56}, {"identifier": "E98", "position": [10, 7], "step": 56, "ordinal_position": 57}, {"identifier": "I16", "position": [11, 7], "step": 57, "ordinal_position": 58}, {"identifier": "A94", "position": [11, 6], "step": 58, "ordinal_position": 59}, {"identifier": "X00", "position": [11, 5], "step": 59, "ordinal_position": 60}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 60, "direction": "down", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_007.json"}} {"qa_id": "e304dbc9011c40a2b4471e0aff2c7ed1", "image_id": "L3-MazeLoop-test_21x21_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N35, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 41st position in this traversal?", "start_object_id": "N35", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [41], "ordinal_strings": ["41st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "U52", "traversal_path": [{"identifier": "N35", "position": [1, 5], "step": 0, "ordinal_position": 1}, {"identifier": "R76", "position": [1, 6], "step": 1, "ordinal_position": 2}, {"identifier": "D51", "position": [1, 7], "step": 2, "ordinal_position": 3}, {"identifier": "N57", "position": [1, 8], "step": 3, "ordinal_position": 4}, {"identifier": "F35", "position": [1, 9], "step": 4, "ordinal_position": 5}, {"identifier": "L99", "position": [1, 10], "step": 5, "ordinal_position": 6}, {"identifier": "E00", "position": [1, 11], "step": 6, "ordinal_position": 7}, {"identifier": "S97", "position": [2, 11], "step": 7, "ordinal_position": 8}, {"identifier": "Q54", "position": [3, 11], "step": 8, "ordinal_position": 9}, {"identifier": "V56", "position": [3, 12], "step": 9, "ordinal_position": 10}, {"identifier": "Y78", "position": [3, 13], "step": 10, "ordinal_position": 11}, {"identifier": "O60", "position": [2, 13], "step": 11, "ordinal_position": 12}, {"identifier": "D72", "position": [1, 13], "step": 12, "ordinal_position": 13}, {"identifier": "I99", "position": [1, 14], "step": 13, "ordinal_position": 14}, {"identifier": "G61", "position": [1, 15], "step": 14, "ordinal_position": 15}, {"identifier": "S04", "position": [1, 16], "step": 15, "ordinal_position": 16}, {"identifier": "Z05", "position": [1, 17], "step": 16, "ordinal_position": 17}, {"identifier": "H31", "position": [1, 18], "step": 17, "ordinal_position": 18}, {"identifier": "Y99", "position": [1, 19], "step": 18, "ordinal_position": 19}, {"identifier": "R06", "position": [2, 19], "step": 19, "ordinal_position": 20}, {"identifier": "T34", "position": [3, 19], "step": 20, "ordinal_position": 21}, {"identifier": "S15", "position": [3, 18], "step": 21, "ordinal_position": 22}, {"identifier": "Y92", "position": [3, 17], "step": 22, "ordinal_position": 23}, {"identifier": "L35", "position": [3, 16], "step": 23, "ordinal_position": 24}, {"identifier": "I05", "position": [3, 15], "step": 24, "ordinal_position": 25}, {"identifier": "O93", "position": [4, 15], "step": 25, "ordinal_position": 26}, {"identifier": "V63", "position": [5, 15], "step": 26, "ordinal_position": 27}, {"identifier": "K69", "position": [6, 15], "step": 27, "ordinal_position": 28}, {"identifier": "J85", "position": [7, 15], "step": 28, "ordinal_position": 29}, {"identifier": "R77", "position": [8, 15], "step": 29, "ordinal_position": 30}, {"identifier": "Y02", "position": [9, 15], "step": 30, "ordinal_position": 31}, {"identifier": "G13", "position": [9, 16], "step": 31, "ordinal_position": 32}, {"identifier": "I64", "position": [9, 17], "step": 32, "ordinal_position": 33}, {"identifier": "J13", "position": [9, 18], "step": 33, "ordinal_position": 34}, {"identifier": "Q44", "position": [9, 19], "step": 34, "ordinal_position": 35}, {"identifier": "O35", "position": [8, 19], "step": 35, "ordinal_position": 36}, {"identifier": "H93", "position": [7, 19], "step": 36, "ordinal_position": 37}, {"identifier": "U54", "position": [6, 19], "step": 37, "ordinal_position": 38}, {"identifier": "T99", "position": [5, 19], "step": 38, "ordinal_position": 39}, {"identifier": "G32", "position": [5, 18], "step": 39, "ordinal_position": 40}, {"identifier": "U52", "position": [5, 17], "step": 40, "ordinal_position": 41}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 41, "direction": "down", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_007.json"}} {"qa_id": "c4b39a7d4dd44be383e779f64b58af51", "image_id": "L3-MazeLoop-test_21x21_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V84, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 26th position in this traversal?", "start_object_id": "V84", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [26], "ordinal_strings": ["26th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "D55", "traversal_path": [{"identifier": "V84", "position": [2, 3], "step": 0, "ordinal_position": 1}, {"identifier": "D55", "position": [3, 3], "step": 1, "ordinal_position": 2}, {"identifier": "E18", "position": [3, 4], "step": 2, "ordinal_position": 3}, {"identifier": "K14", "position": [3, 5], "step": 3, "ordinal_position": 4}, {"identifier": "J16", "position": [3, 6], "step": 4, "ordinal_position": 5}, {"identifier": "T76", "position": [3, 7], "step": 5, "ordinal_position": 6}, {"identifier": "V20", "position": [4, 7], "step": 6, "ordinal_position": 7}, {"identifier": "I40", "position": [5, 7], "step": 7, "ordinal_position": 8}, {"identifier": "V16", "position": [6, 7], "step": 8, "ordinal_position": 9}, {"identifier": "V14", "position": [7, 7], "step": 9, "ordinal_position": 10}, {"identifier": "W75", "position": [7, 6], "step": 10, "ordinal_position": 11}, {"identifier": "F98", "position": [7, 5], "step": 11, "ordinal_position": 12}, {"identifier": "U97", "position": [6, 5], "step": 12, "ordinal_position": 13}, {"identifier": "T42", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "H50", "position": [5, 4], "step": 14, "ordinal_position": 15}, {"identifier": "T67", "position": [5, 3], "step": 15, "ordinal_position": 16}, {"identifier": "W69", "position": [5, 2], "step": 16, "ordinal_position": 17}, {"identifier": "F03", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "W18", "position": [4, 1], "step": 18, "ordinal_position": 19}, {"identifier": "G19", "position": [3, 1], "step": 19, "ordinal_position": 20}, {"identifier": "B10", "position": [2, 1], "step": 20, "ordinal_position": 21}, {"identifier": "K61", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "R67", "position": [1, 2], "step": 22, "ordinal_position": 23}, {"identifier": "J12", "position": [1, 3], "step": 23, "ordinal_position": 24}, {"identifier": "V84", "position": [2, 3], "step": 24, "ordinal_position": 25}, {"identifier": "D55", "position": [3, 3], "step": 25, "ordinal_position": 26}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 26, "direction": "right", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_007.json"}} {"qa_id": "140556992c9c4f79bcb4e382bcf34817", "image_id": "L3-MazeLoop-test_21x21_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O93, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 52nd position in this traversal?", "start_object_id": "O93", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [52], "ordinal_strings": ["52nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Q07", "traversal_path": [{"identifier": "O93", "position": [4, 15], "step": 0, "ordinal_position": 1}, {"identifier": "I05", "position": [3, 15], "step": 1, "ordinal_position": 2}, {"identifier": "L35", "position": [3, 16], "step": 2, "ordinal_position": 3}, {"identifier": "Y92", "position": [3, 17], "step": 3, "ordinal_position": 4}, {"identifier": "S15", "position": [3, 18], "step": 4, "ordinal_position": 5}, {"identifier": "T34", "position": [3, 19], "step": 5, "ordinal_position": 6}, {"identifier": "R06", "position": [2, 19], "step": 6, "ordinal_position": 7}, {"identifier": "Y99", "position": [1, 19], "step": 7, "ordinal_position": 8}, {"identifier": "H31", "position": [1, 18], "step": 8, "ordinal_position": 9}, {"identifier": "Z05", "position": [1, 17], "step": 9, "ordinal_position": 10}, {"identifier": "S04", "position": [1, 16], "step": 10, "ordinal_position": 11}, {"identifier": "G61", "position": [1, 15], "step": 11, "ordinal_position": 12}, {"identifier": "I99", "position": [1, 14], "step": 12, "ordinal_position": 13}, {"identifier": "D72", "position": [1, 13], "step": 13, "ordinal_position": 14}, {"identifier": "O60", "position": [2, 13], "step": 14, "ordinal_position": 15}, {"identifier": "Y78", "position": [3, 13], "step": 15, "ordinal_position": 16}, {"identifier": "V56", "position": [3, 12], "step": 16, "ordinal_position": 17}, {"identifier": "Q54", "position": [3, 11], "step": 17, "ordinal_position": 18}, {"identifier": "S97", "position": [2, 11], "step": 18, "ordinal_position": 19}, {"identifier": "E00", "position": [1, 11], "step": 19, "ordinal_position": 20}, {"identifier": "L99", "position": [1, 10], "step": 20, "ordinal_position": 21}, {"identifier": "F35", "position": [1, 9], "step": 21, "ordinal_position": 22}, {"identifier": "N57", "position": [1, 8], "step": 22, "ordinal_position": 23}, {"identifier": "D51", "position": [1, 7], "step": 23, "ordinal_position": 24}, {"identifier": "R76", "position": [1, 6], "step": 24, "ordinal_position": 25}, {"identifier": "N35", "position": [1, 5], "step": 25, "ordinal_position": 26}, {"identifier": "F20", "position": [2, 5], "step": 26, "ordinal_position": 27}, {"identifier": "K14", "position": [3, 5], "step": 27, "ordinal_position": 28}, {"identifier": "E18", "position": [3, 4], "step": 28, "ordinal_position": 29}, {"identifier": "D55", "position": [3, 3], "step": 29, "ordinal_position": 30}, {"identifier": "V84", "position": [2, 3], "step": 30, "ordinal_position": 31}, {"identifier": "J12", "position": [1, 3], "step": 31, "ordinal_position": 32}, {"identifier": "R67", "position": [1, 2], "step": 32, "ordinal_position": 33}, {"identifier": "K61", "position": [1, 1], "step": 33, "ordinal_position": 34}, {"identifier": "B10", "position": [2, 1], "step": 34, "ordinal_position": 35}, {"identifier": "G19", "position": [3, 1], "step": 35, "ordinal_position": 36}, {"identifier": "W18", "position": [4, 1], "step": 36, "ordinal_position": 37}, {"identifier": "F03", "position": [5, 1], "step": 37, "ordinal_position": 38}, {"identifier": "G21", "position": [6, 1], "step": 38, "ordinal_position": 39}, {"identifier": "W24", "position": [7, 1], "step": 39, "ordinal_position": 40}, {"identifier": "A58", "position": [8, 1], "step": 40, "ordinal_position": 41}, {"identifier": "K31", "position": [9, 1], "step": 41, "ordinal_position": 42}, {"identifier": "V73", "position": [9, 2], "step": 42, "ordinal_position": 43}, {"identifier": "T15", "position": [9, 3], "step": 43, "ordinal_position": 44}, {"identifier": "U59", "position": [10, 3], "step": 44, "ordinal_position": 45}, {"identifier": "O56", "position": [11, 3], "step": 45, "ordinal_position": 46}, {"identifier": "G96", "position": [11, 2], "step": 46, "ordinal_position": 47}, {"identifier": "R25", "position": [11, 1], "step": 47, "ordinal_position": 48}, {"identifier": "E91", "position": [12, 1], "step": 48, "ordinal_position": 49}, {"identifier": "M94", "position": [13, 1], "step": 49, "ordinal_position": 50}, {"identifier": "N89", "position": [13, 2], "step": 50, "ordinal_position": 51}, {"identifier": "Q07", "position": [13, 3], "step": 51, "ordinal_position": 52}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 52, "direction": "left", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_007.json"}} {"qa_id": "17696c3031b648aa91ff413caca28d5f", "image_id": "L3-MazeLoop-test_21x21_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H93, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 206th position in this traversal?", "start_object_id": "H93", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [206], "ordinal_strings": ["206th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "H97", "traversal_path": [{"identifier": "H93", "position": [7, 19], "step": 0, "ordinal_position": 1}, {"identifier": "U54", "position": [6, 19], "step": 1, "ordinal_position": 2}, {"identifier": "T99", "position": [5, 19], "step": 2, "ordinal_position": 3}, {"identifier": "G32", "position": [5, 18], "step": 3, "ordinal_position": 4}, {"identifier": "U52", "position": [5, 17], "step": 4, "ordinal_position": 5}, {"identifier": "H97", "position": [6, 17], "step": 5, "ordinal_position": 6}, {"identifier": "O91", "position": [7, 17], "step": 6, "ordinal_position": 7}, {"identifier": "F36", "position": [7, 18], "step": 7, "ordinal_position": 8}, {"identifier": "H93", "position": [7, 19], "step": 8, "ordinal_position": 9}, {"identifier": "U54", "position": [6, 19], "step": 9, "ordinal_position": 10}, {"identifier": "T99", "position": [5, 19], "step": 10, "ordinal_position": 11}, {"identifier": "G32", "position": [5, 18], "step": 11, "ordinal_position": 12}, {"identifier": "U52", "position": [5, 17], "step": 12, "ordinal_position": 13}, {"identifier": "H97", "position": [6, 17], "step": 13, "ordinal_position": 14}, {"identifier": "O91", "position": [7, 17], "step": 14, "ordinal_position": 15}, {"identifier": "F36", "position": [7, 18], "step": 15, "ordinal_position": 16}, {"identifier": "H93", "position": [7, 19], "step": 16, "ordinal_position": 17}, {"identifier": "U54", "position": [6, 19], "step": 17, "ordinal_position": 18}, {"identifier": "T99", "position": [5, 19], "step": 18, "ordinal_position": 19}, {"identifier": "G32", "position": [5, 18], "step": 19, "ordinal_position": 20}, {"identifier": "U52", "position": [5, 17], "step": 20, "ordinal_position": 21}, {"identifier": "H97", "position": [6, 17], "step": 21, "ordinal_position": 22}, {"identifier": "O91", "position": [7, 17], "step": 22, "ordinal_position": 23}, {"identifier": "F36", "position": [7, 18], "step": 23, "ordinal_position": 24}, {"identifier": "H93", "position": [7, 19], "step": 24, "ordinal_position": 25}, {"identifier": "U54", "position": [6, 19], "step": 25, "ordinal_position": 26}, {"identifier": "T99", "position": [5, 19], "step": 26, "ordinal_position": 27}, {"identifier": "G32", "position": [5, 18], "step": 27, "ordinal_position": 28}, {"identifier": "U52", "position": [5, 17], "step": 28, "ordinal_position": 29}, {"identifier": "H97", "position": [6, 17], "step": 29, "ordinal_position": 30}, {"identifier": "O91", "position": [7, 17], "step": 30, "ordinal_position": 31}, {"identifier": "F36", "position": [7, 18], "step": 31, "ordinal_position": 32}, {"identifier": "H93", "position": [7, 19], "step": 32, "ordinal_position": 33}, {"identifier": "U54", "position": [6, 19], "step": 33, "ordinal_position": 34}, {"identifier": "T99", "position": [5, 19], "step": 34, "ordinal_position": 35}, {"identifier": "G32", "position": [5, 18], "step": 35, "ordinal_position": 36}, {"identifier": "U52", "position": [5, 17], "step": 36, "ordinal_position": 37}, {"identifier": "H97", "position": [6, 17], "step": 37, "ordinal_position": 38}, {"identifier": "O91", "position": [7, 17], "step": 38, "ordinal_position": 39}, {"identifier": "F36", "position": [7, 18], "step": 39, "ordinal_position": 40}, {"identifier": "H93", "position": [7, 19], "step": 40, "ordinal_position": 41}, {"identifier": "U54", "position": [6, 19], "step": 41, "ordinal_position": 42}, {"identifier": "T99", "position": [5, 19], "step": 42, "ordinal_position": 43}, {"identifier": "G32", "position": [5, 18], "step": 43, "ordinal_position": 44}, {"identifier": "U52", "position": [5, 17], "step": 44, "ordinal_position": 45}, {"identifier": "H97", "position": [6, 17], "step": 45, "ordinal_position": 46}, {"identifier": "O91", "position": [7, 17], "step": 46, "ordinal_position": 47}, {"identifier": "F36", "position": [7, 18], "step": 47, "ordinal_position": 48}, {"identifier": "H93", "position": [7, 19], "step": 48, "ordinal_position": 49}, {"identifier": "U54", "position": [6, 19], "step": 49, "ordinal_position": 50}, {"identifier": "T99", "position": [5, 19], "step": 50, "ordinal_position": 51}, {"identifier": "G32", "position": [5, 18], "step": 51, "ordinal_position": 52}, {"identifier": "U52", "position": [5, 17], "step": 52, "ordinal_position": 53}, {"identifier": "H97", "position": [6, 17], "step": 53, "ordinal_position": 54}, {"identifier": "O91", "position": [7, 17], "step": 54, "ordinal_position": 55}, {"identifier": "F36", "position": [7, 18], "step": 55, "ordinal_position": 56}, {"identifier": "H93", "position": [7, 19], "step": 56, "ordinal_position": 57}, {"identifier": "U54", "position": [6, 19], "step": 57, "ordinal_position": 58}, {"identifier": "T99", "position": [5, 19], "step": 58, "ordinal_position": 59}, {"identifier": "G32", "position": [5, 18], "step": 59, "ordinal_position": 60}, {"identifier": "U52", "position": [5, 17], "step": 60, "ordinal_position": 61}, {"identifier": "H97", "position": [6, 17], "step": 61, "ordinal_position": 62}, {"identifier": "O91", "position": [7, 17], "step": 62, "ordinal_position": 63}, {"identifier": "F36", "position": [7, 18], "step": 63, "ordinal_position": 64}, {"identifier": "H93", "position": [7, 19], "step": 64, "ordinal_position": 65}, {"identifier": "U54", "position": [6, 19], "step": 65, "ordinal_position": 66}, {"identifier": "T99", "position": [5, 19], "step": 66, "ordinal_position": 67}, {"identifier": "G32", "position": [5, 18], "step": 67, "ordinal_position": 68}, {"identifier": "U52", "position": [5, 17], "step": 68, "ordinal_position": 69}, {"identifier": "H97", "position": [6, 17], "step": 69, "ordinal_position": 70}, {"identifier": "O91", "position": [7, 17], "step": 70, "ordinal_position": 71}, {"identifier": "F36", "position": [7, 18], "step": 71, "ordinal_position": 72}, {"identifier": "H93", "position": [7, 19], "step": 72, "ordinal_position": 73}, {"identifier": "U54", "position": [6, 19], "step": 73, "ordinal_position": 74}, {"identifier": "T99", "position": [5, 19], "step": 74, "ordinal_position": 75}, {"identifier": "G32", "position": [5, 18], "step": 75, "ordinal_position": 76}, {"identifier": "U52", "position": [5, 17], "step": 76, "ordinal_position": 77}, {"identifier": "H97", "position": [6, 17], "step": 77, "ordinal_position": 78}, {"identifier": "O91", "position": [7, 17], "step": 78, "ordinal_position": 79}, {"identifier": "F36", "position": [7, 18], "step": 79, "ordinal_position": 80}, {"identifier": "H93", "position": [7, 19], "step": 80, "ordinal_position": 81}, {"identifier": "U54", "position": [6, 19], "step": 81, "ordinal_position": 82}, {"identifier": "T99", "position": [5, 19], "step": 82, "ordinal_position": 83}, {"identifier": "G32", "position": [5, 18], "step": 83, "ordinal_position": 84}, {"identifier": "U52", "position": [5, 17], "step": 84, "ordinal_position": 85}, {"identifier": "H97", "position": [6, 17], "step": 85, "ordinal_position": 86}, {"identifier": "O91", "position": [7, 17], "step": 86, "ordinal_position": 87}, {"identifier": "F36", "position": [7, 18], "step": 87, "ordinal_position": 88}, {"identifier": "H93", "position": [7, 19], "step": 88, "ordinal_position": 89}, {"identifier": "U54", "position": [6, 19], "step": 89, "ordinal_position": 90}, {"identifier": "T99", "position": [5, 19], "step": 90, "ordinal_position": 91}, {"identifier": "G32", "position": [5, 18], "step": 91, "ordinal_position": 92}, {"identifier": "U52", "position": [5, 17], "step": 92, "ordinal_position": 93}, {"identifier": "H97", "position": [6, 17], "step": 93, "ordinal_position": 94}, {"identifier": "O91", "position": [7, 17], "step": 94, "ordinal_position": 95}, {"identifier": "F36", "position": [7, 18], "step": 95, "ordinal_position": 96}, {"identifier": "H93", "position": [7, 19], "step": 96, "ordinal_position": 97}, {"identifier": "U54", "position": [6, 19], "step": 97, "ordinal_position": 98}, {"identifier": "T99", "position": [5, 19], "step": 98, "ordinal_position": 99}, {"identifier": "G32", "position": [5, 18], "step": 99, "ordinal_position": 100}, {"identifier": "U52", "position": [5, 17], "step": 100, "ordinal_position": 101}, {"identifier": "H97", "position": [6, 17], "step": 101, "ordinal_position": 102}, {"identifier": "O91", "position": [7, 17], "step": 102, "ordinal_position": 103}, {"identifier": "F36", "position": [7, 18], "step": 103, "ordinal_position": 104}, {"identifier": "H93", "position": [7, 19], "step": 104, "ordinal_position": 105}, {"identifier": "U54", "position": [6, 19], "step": 105, "ordinal_position": 106}, {"identifier": "T99", "position": [5, 19], "step": 106, "ordinal_position": 107}, {"identifier": "G32", "position": [5, 18], "step": 107, "ordinal_position": 108}, {"identifier": "U52", "position": [5, 17], "step": 108, "ordinal_position": 109}, {"identifier": "H97", "position": [6, 17], "step": 109, "ordinal_position": 110}, {"identifier": "O91", "position": [7, 17], "step": 110, "ordinal_position": 111}, {"identifier": "F36", "position": [7, 18], "step": 111, "ordinal_position": 112}, {"identifier": "H93", "position": [7, 19], "step": 112, "ordinal_position": 113}, {"identifier": "U54", "position": [6, 19], "step": 113, "ordinal_position": 114}, {"identifier": "T99", "position": [5, 19], "step": 114, "ordinal_position": 115}, {"identifier": "G32", "position": [5, 18], "step": 115, "ordinal_position": 116}, {"identifier": "U52", "position": [5, 17], "step": 116, "ordinal_position": 117}, {"identifier": "H97", "position": [6, 17], "step": 117, "ordinal_position": 118}, {"identifier": "O91", "position": [7, 17], "step": 118, "ordinal_position": 119}, {"identifier": "F36", "position": [7, 18], "step": 119, "ordinal_position": 120}, {"identifier": "H93", "position": [7, 19], "step": 120, "ordinal_position": 121}, {"identifier": "U54", "position": [6, 19], "step": 121, "ordinal_position": 122}, {"identifier": "T99", "position": [5, 19], "step": 122, "ordinal_position": 123}, {"identifier": "G32", "position": [5, 18], "step": 123, "ordinal_position": 124}, {"identifier": "U52", "position": [5, 17], "step": 124, "ordinal_position": 125}, {"identifier": "H97", "position": [6, 17], "step": 125, "ordinal_position": 126}, {"identifier": "O91", "position": [7, 17], "step": 126, "ordinal_position": 127}, {"identifier": "F36", "position": [7, 18], "step": 127, "ordinal_position": 128}, {"identifier": "H93", "position": [7, 19], "step": 128, "ordinal_position": 129}, {"identifier": "U54", "position": [6, 19], "step": 129, "ordinal_position": 130}, {"identifier": "T99", "position": [5, 19], "step": 130, "ordinal_position": 131}, {"identifier": "G32", "position": [5, 18], "step": 131, "ordinal_position": 132}, {"identifier": "U52", "position": [5, 17], "step": 132, "ordinal_position": 133}, {"identifier": "H97", "position": [6, 17], "step": 133, "ordinal_position": 134}, {"identifier": "O91", "position": [7, 17], "step": 134, "ordinal_position": 135}, {"identifier": "F36", "position": [7, 18], "step": 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"ordinal_position": 148}, {"identifier": "U52", "position": [5, 17], "step": 148, "ordinal_position": 149}, {"identifier": "H97", "position": [6, 17], "step": 149, "ordinal_position": 150}, {"identifier": "O91", "position": [7, 17], "step": 150, "ordinal_position": 151}, {"identifier": "F36", "position": [7, 18], "step": 151, "ordinal_position": 152}, {"identifier": "H93", "position": [7, 19], "step": 152, "ordinal_position": 153}, {"identifier": "U54", "position": [6, 19], "step": 153, "ordinal_position": 154}, {"identifier": "T99", "position": [5, 19], "step": 154, "ordinal_position": 155}, {"identifier": "G32", "position": [5, 18], "step": 155, "ordinal_position": 156}, {"identifier": "U52", "position": [5, 17], "step": 156, "ordinal_position": 157}, {"identifier": "H97", "position": [6, 17], "step": 157, "ordinal_position": 158}, {"identifier": "O91", "position": [7, 17], "step": 158, "ordinal_position": 159}, {"identifier": "F36", "position": [7, 18], "step": 159, "ordinal_position": 160}, {"identifier": "H93", "position": [7, 19], "step": 160, "ordinal_position": 161}, {"identifier": "U54", "position": [6, 19], "step": 161, "ordinal_position": 162}, {"identifier": "T99", "position": [5, 19], "step": 162, "ordinal_position": 163}, {"identifier": "G32", "position": [5, 18], "step": 163, "ordinal_position": 164}, {"identifier": "U52", "position": [5, 17], "step": 164, "ordinal_position": 165}, {"identifier": "H97", "position": [6, 17], "step": 165, "ordinal_position": 166}, {"identifier": "O91", "position": [7, 17], "step": 166, "ordinal_position": 167}, {"identifier": "F36", "position": [7, 18], "step": 167, "ordinal_position": 168}, {"identifier": "H93", "position": [7, 19], "step": 168, "ordinal_position": 169}, {"identifier": "U54", "position": [6, 19], "step": 169, "ordinal_position": 170}, {"identifier": "T99", "position": [5, 19], "step": 170, "ordinal_position": 171}, {"identifier": "G32", "position": [5, 18], "step": 171, "ordinal_position": 172}, {"identifier": "U52", "position": [5, 17], "step": 172, "ordinal_position": 173}, {"identifier": "H97", "position": [6, 17], "step": 173, "ordinal_position": 174}, {"identifier": "O91", "position": [7, 17], "step": 174, "ordinal_position": 175}, {"identifier": "F36", "position": [7, 18], "step": 175, "ordinal_position": 176}, {"identifier": "H93", "position": [7, 19], "step": 176, "ordinal_position": 177}, {"identifier": "U54", "position": [6, 19], "step": 177, "ordinal_position": 178}, {"identifier": "T99", "position": [5, 19], "step": 178, "ordinal_position": 179}, {"identifier": "G32", "position": [5, 18], "step": 179, "ordinal_position": 180}, {"identifier": "U52", "position": [5, 17], "step": 180, "ordinal_position": 181}, {"identifier": "H97", "position": [6, 17], "step": 181, "ordinal_position": 182}, {"identifier": "O91", "position": [7, 17], "step": 182, "ordinal_position": 183}, {"identifier": "F36", "position": [7, 18], "step": 183, "ordinal_position": 184}, {"identifier": "H93", "position": [7, 19], "step": 184, "ordinal_position": 185}, {"identifier": "U54", "position": [6, 19], "step": 185, "ordinal_position": 186}, {"identifier": "T99", "position": [5, 19], "step": 186, "ordinal_position": 187}, {"identifier": "G32", "position": [5, 18], "step": 187, "ordinal_position": 188}, {"identifier": "U52", "position": [5, 17], "step": 188, "ordinal_position": 189}, {"identifier": "H97", "position": [6, 17], "step": 189, "ordinal_position": 190}, {"identifier": "O91", "position": [7, 17], "step": 190, "ordinal_position": 191}, {"identifier": "F36", "position": [7, 18], "step": 191, "ordinal_position": 192}, {"identifier": "H93", "position": [7, 19], "step": 192, "ordinal_position": 193}, {"identifier": "U54", "position": [6, 19], "step": 193, "ordinal_position": 194}, {"identifier": "T99", "position": [5, 19], "step": 194, "ordinal_position": 195}, {"identifier": "G32", "position": [5, 18], "step": 195, "ordinal_position": 196}, {"identifier": "U52", "position": [5, 17], "step": 196, "ordinal_position": 197}, {"identifier": "H97", "position": [6, 17], "step": 197, "ordinal_position": 198}, {"identifier": "O91", "position": [7, 17], "step": 198, "ordinal_position": 199}, {"identifier": "F36", "position": [7, 18], "step": 199, "ordinal_position": 200}, {"identifier": "H93", "position": [7, 19], "step": 200, "ordinal_position": 201}, {"identifier": "U54", "position": [6, 19], "step": 201, "ordinal_position": 202}, {"identifier": "T99", "position": [5, 19], "step": 202, "ordinal_position": 203}, {"identifier": "G32", "position": [5, 18], "step": 203, "ordinal_position": 204}, {"identifier": "U52", "position": [5, 17], "step": 204, "ordinal_position": 205}, {"identifier": "H97", "position": [6, 17], "step": 205, "ordinal_position": 206}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 206, "direction": "left", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_007.json"}} {"qa_id": "828c51e7ffe0486fa78124439a91a065", "image_id": "L3-MazeLoop-test_21x21_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F36, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 198th position in this traversal?", "start_object_id": "F36", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [198], "ordinal_strings": ["198th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "A87", "traversal_path": [{"identifier": "F36", "position": [7, 18], "step": 0, "ordinal_position": 1}, {"identifier": "H93", "position": [7, 19], "step": 1, "ordinal_position": 2}, {"identifier": "O35", "position": [8, 19], "step": 2, "ordinal_position": 3}, {"identifier": "Q44", "position": [9, 19], "step": 3, "ordinal_position": 4}, {"identifier": "O99", "position": [10, 19], "step": 4, "ordinal_position": 5}, {"identifier": "A87", "position": [11, 19], "step": 5, "ordinal_position": 6}, {"identifier": "U70", "position": [12, 19], "step": 6, "ordinal_position": 7}, {"identifier": "S02", "position": [13, 19], "step": 7, "ordinal_position": 8}, {"identifier": "H05", "position": [14, 19], "step": 8, "ordinal_position": 9}, {"identifier": "R54", "position": [15, 19], "step": 9, "ordinal_position": 10}, {"identifier": "G50", "position": [16, 19], "step": 10, "ordinal_position": 11}, {"identifier": "C99", "position": [17, 19], "step": 11, "ordinal_position": 12}, {"identifier": "A76", "position": [18, 19], "step": 12, "ordinal_position": 13}, {"identifier": "W47", "position": [19, 19], "step": 13, "ordinal_position": 14}, {"identifier": "B14", "position": [19, 18], "step": 14, "ordinal_position": 15}, {"identifier": "Y40", "position": [19, 17], "step": 15, "ordinal_position": 16}, {"identifier": "O09", "position": [18, 17], "step": 16, "ordinal_position": 17}, {"identifier": "T08", "position": [17, 17], "step": 17, "ordinal_position": 18}, {"identifier": "M40", "position": [16, 17], "step": 18, "ordinal_position": 19}, {"identifier": "C59", "position": [15, 17], "step": 19, "ordinal_position": 20}, {"identifier": "Q41", "position": [14, 17], "step": 20, "ordinal_position": 21}, {"identifier": "E72", "position": [13, 17], "step": 21, "ordinal_position": 22}, {"identifier": "S76", "position": [12, 17], "step": 22, "ordinal_position": 23}, {"identifier": "P02", "position": [11, 17], "step": 23, "ordinal_position": 24}, {"identifier": "T25", "position": [10, 17], "step": 24, "ordinal_position": 25}, {"identifier": "I64", "position": [9, 17], "step": 25, "ordinal_position": 26}, {"identifier": "J13", "position": [9, 18], "step": 26, "ordinal_position": 27}, {"identifier": "Q44", "position": [9, 19], "step": 27, "ordinal_position": 28}, {"identifier": "O99", "position": [10, 19], "step": 28, "ordinal_position": 29}, {"identifier": "A87", "position": [11, 19], "step": 29, "ordinal_position": 30}, {"identifier": "U70", "position": [12, 19], "step": 30, "ordinal_position": 31}, {"identifier": "S02", "position": [13, 19], "step": 31, "ordinal_position": 32}, {"identifier": "H05", "position": [14, 19], "step": 32, "ordinal_position": 33}, {"identifier": "R54", "position": [15, 19], "step": 33, "ordinal_position": 34}, {"identifier": "G50", "position": [16, 19], "step": 34, "ordinal_position": 35}, {"identifier": "C99", "position": [17, 19], "step": 35, "ordinal_position": 36}, {"identifier": "A76", "position": [18, 19], "step": 36, "ordinal_position": 37}, {"identifier": "W47", "position": [19, 19], "step": 37, "ordinal_position": 38}, {"identifier": "B14", "position": [19, 18], "step": 38, "ordinal_position": 39}, {"identifier": "Y40", "position": [19, 17], "step": 39, "ordinal_position": 40}, {"identifier": "O09", "position": [18, 17], "step": 40, "ordinal_position": 41}, {"identifier": "T08", "position": [17, 17], "step": 41, "ordinal_position": 42}, {"identifier": "M40", "position": [16, 17], "step": 42, "ordinal_position": 43}, {"identifier": "C59", "position": [15, 17], "step": 43, "ordinal_position": 44}, {"identifier": "Q41", "position": [14, 17], "step": 44, "ordinal_position": 45}, {"identifier": "E72", "position": [13, 17], "step": 45, "ordinal_position": 46}, {"identifier": "S76", "position": [12, 17], "step": 46, "ordinal_position": 47}, {"identifier": "P02", "position": [11, 17], "step": 47, "ordinal_position": 48}, {"identifier": "T25", "position": [10, 17], "step": 48, "ordinal_position": 49}, {"identifier": "I64", "position": [9, 17], "step": 49, "ordinal_position": 50}, {"identifier": "J13", "position": [9, 18], "step": 50, "ordinal_position": 51}, {"identifier": "Q44", "position": [9, 19], "step": 51, "ordinal_position": 52}, {"identifier": "O99", "position": [10, 19], "step": 52, "ordinal_position": 53}, {"identifier": "A87", "position": [11, 19], "step": 53, "ordinal_position": 54}, {"identifier": "U70", "position": [12, 19], "step": 54, "ordinal_position": 55}, {"identifier": "S02", "position": [13, 19], "step": 55, "ordinal_position": 56}, {"identifier": "H05", "position": [14, 19], "step": 56, "ordinal_position": 57}, {"identifier": "R54", "position": [15, 19], "step": 57, "ordinal_position": 58}, {"identifier": "G50", "position": [16, 19], "step": 58, "ordinal_position": 59}, {"identifier": "C99", "position": [17, 19], "step": 59, "ordinal_position": 60}, {"identifier": "A76", "position": [18, 19], "step": 60, "ordinal_position": 61}, {"identifier": "W47", "position": [19, 19], "step": 61, "ordinal_position": 62}, {"identifier": "B14", "position": [19, 18], "step": 62, "ordinal_position": 63}, {"identifier": "Y40", "position": [19, 17], "step": 63, "ordinal_position": 64}, {"identifier": "O09", "position": [18, 17], "step": 64, "ordinal_position": 65}, {"identifier": "T08", "position": [17, 17], "step": 65, "ordinal_position": 66}, {"identifier": "M40", "position": [16, 17], "step": 66, "ordinal_position": 67}, {"identifier": "C59", "position": [15, 17], "step": 67, "ordinal_position": 68}, {"identifier": "Q41", "position": [14, 17], "step": 68, "ordinal_position": 69}, {"identifier": "E72", "position": [13, 17], "step": 69, "ordinal_position": 70}, {"identifier": "S76", "position": [12, 17], "step": 70, "ordinal_position": 71}, {"identifier": "P02", "position": [11, 17], "step": 71, "ordinal_position": 72}, {"identifier": "T25", "position": [10, 17], "step": 72, "ordinal_position": 73}, {"identifier": "I64", "position": [9, 17], "step": 73, "ordinal_position": 74}, {"identifier": "J13", "position": [9, 18], "step": 74, "ordinal_position": 75}, {"identifier": "Q44", "position": [9, 19], "step": 75, "ordinal_position": 76}, {"identifier": "O99", "position": [10, 19], "step": 76, "ordinal_position": 77}, {"identifier": "A87", "position": [11, 19], "step": 77, "ordinal_position": 78}, {"identifier": "U70", "position": [12, 19], "step": 78, "ordinal_position": 79}, {"identifier": "S02", "position": [13, 19], "step": 79, "ordinal_position": 80}, {"identifier": "H05", "position": [14, 19], "step": 80, "ordinal_position": 81}, {"identifier": "R54", "position": [15, 19], "step": 81, "ordinal_position": 82}, {"identifier": "G50", "position": [16, 19], "step": 82, "ordinal_position": 83}, {"identifier": "C99", "position": [17, 19], "step": 83, "ordinal_position": 84}, {"identifier": "A76", "position": [18, 19], "step": 84, "ordinal_position": 85}, {"identifier": "W47", "position": [19, 19], "step": 85, "ordinal_position": 86}, {"identifier": "B14", "position": [19, 18], "step": 86, "ordinal_position": 87}, {"identifier": "Y40", "position": [19, 17], "step": 87, "ordinal_position": 88}, {"identifier": "O09", "position": [18, 17], "step": 88, "ordinal_position": 89}, {"identifier": "T08", "position": [17, 17], "step": 89, "ordinal_position": 90}, {"identifier": "M40", "position": [16, 17], "step": 90, "ordinal_position": 91}, {"identifier": "C59", "position": [15, 17], "step": 91, "ordinal_position": 92}, {"identifier": "Q41", "position": [14, 17], "step": 92, "ordinal_position": 93}, {"identifier": "E72", "position": [13, 17], "step": 93, "ordinal_position": 94}, {"identifier": "S76", "position": [12, 17], "step": 94, "ordinal_position": 95}, {"identifier": "P02", "position": [11, 17], "step": 95, "ordinal_position": 96}, {"identifier": "T25", "position": [10, 17], "step": 96, "ordinal_position": 97}, {"identifier": "I64", "position": [9, 17], "step": 97, "ordinal_position": 98}, {"identifier": "J13", "position": [9, 18], "step": 98, "ordinal_position": 99}, {"identifier": "Q44", "position": [9, 19], "step": 99, "ordinal_position": 100}, {"identifier": "O99", "position": [10, 19], "step": 100, "ordinal_position": 101}, {"identifier": "A87", "position": [11, 19], "step": 101, "ordinal_position": 102}, {"identifier": "U70", "position": [12, 19], "step": 102, "ordinal_position": 103}, {"identifier": "S02", "position": [13, 19], "step": 103, "ordinal_position": 104}, {"identifier": "H05", "position": [14, 19], "step": 104, "ordinal_position": 105}, {"identifier": "R54", "position": [15, 19], "step": 105, "ordinal_position": 106}, {"identifier": "G50", "position": [16, 19], "step": 106, "ordinal_position": 107}, {"identifier": "C99", "position": [17, 19], "step": 107, "ordinal_position": 108}, {"identifier": "A76", "position": [18, 19], "step": 108, "ordinal_position": 109}, {"identifier": "W47", "position": [19, 19], "step": 109, "ordinal_position": 110}, {"identifier": "B14", "position": [19, 18], "step": 110, "ordinal_position": 111}, {"identifier": "Y40", "position": [19, 17], "step": 111, "ordinal_position": 112}, {"identifier": "O09", "position": [18, 17], "step": 112, "ordinal_position": 113}, {"identifier": "T08", "position": [17, 17], "step": 113, "ordinal_position": 114}, {"identifier": "M40", "position": [16, 17], "step": 114, "ordinal_position": 115}, {"identifier": "C59", "position": [15, 17], "step": 115, "ordinal_position": 116}, {"identifier": "Q41", "position": [14, 17], "step": 116, "ordinal_position": 117}, {"identifier": "E72", "position": [13, 17], "step": 117, "ordinal_position": 118}, {"identifier": "S76", "position": [12, 17], "step": 118, "ordinal_position": 119}, {"identifier": "P02", "position": [11, 17], "step": 119, "ordinal_position": 120}, {"identifier": "T25", "position": [10, 17], "step": 120, "ordinal_position": 121}, {"identifier": "I64", "position": [9, 17], "step": 121, "ordinal_position": 122}, {"identifier": "J13", "position": [9, 18], "step": 122, "ordinal_position": 123}, {"identifier": "Q44", "position": [9, 19], "step": 123, "ordinal_position": 124}, {"identifier": "O99", "position": [10, 19], "step": 124, "ordinal_position": 125}, {"identifier": "A87", "position": [11, 19], "step": 125, "ordinal_position": 126}, {"identifier": "U70", "position": [12, 19], "step": 126, "ordinal_position": 127}, {"identifier": "S02", "position": [13, 19], "step": 127, "ordinal_position": 128}, {"identifier": "H05", "position": [14, 19], "step": 128, "ordinal_position": 129}, {"identifier": "R54", "position": [15, 19], "step": 129, "ordinal_position": 130}, {"identifier": "G50", "position": [16, 19], "step": 130, "ordinal_position": 131}, {"identifier": "C99", "position": [17, 19], "step": 131, "ordinal_position": 132}, {"identifier": "A76", "position": [18, 19], "step": 132, "ordinal_position": 133}, {"identifier": "W47", "position": [19, 19], "step": 133, "ordinal_position": 134}, {"identifier": "B14", "position": [19, 18], "step": 134, "ordinal_position": 135}, {"identifier": "Y40", "position": [19, 17], "step": 135, "ordinal_position": 136}, {"identifier": "O09", "position": [18, 17], "step": 136, "ordinal_position": 137}, {"identifier": "T08", "position": [17, 17], "step": 137, "ordinal_position": 138}, {"identifier": "M40", "position": [16, 17], "step": 138, "ordinal_position": 139}, {"identifier": "C59", "position": [15, 17], "step": 139, "ordinal_position": 140}, {"identifier": "Q41", "position": [14, 17], "step": 140, "ordinal_position": 141}, {"identifier": "E72", "position": [13, 17], "step": 141, "ordinal_position": 142}, {"identifier": "S76", "position": [12, 17], "step": 142, "ordinal_position": 143}, {"identifier": "P02", "position": [11, 17], "step": 143, "ordinal_position": 144}, {"identifier": "T25", "position": [10, 17], "step": 144, "ordinal_position": 145}, {"identifier": "I64", "position": [9, 17], "step": 145, "ordinal_position": 146}, {"identifier": "J13", "position": [9, 18], "step": 146, "ordinal_position": 147}, {"identifier": "Q44", "position": [9, 19], "step": 147, "ordinal_position": 148}, {"identifier": "O99", "position": [10, 19], "step": 148, "ordinal_position": 149}, {"identifier": "A87", "position": [11, 19], "step": 149, "ordinal_position": 150}, {"identifier": "U70", "position": [12, 19], "step": 150, "ordinal_position": 151}, {"identifier": "S02", "position": [13, 19], "step": 151, "ordinal_position": 152}, {"identifier": "H05", "position": [14, 19], "step": 152, "ordinal_position": 153}, {"identifier": "R54", "position": [15, 19], "step": 153, "ordinal_position": 154}, {"identifier": "G50", "position": [16, 19], "step": 154, "ordinal_position": 155}, {"identifier": "C99", "position": [17, 19], "step": 155, "ordinal_position": 156}, {"identifier": "A76", "position": [18, 19], "step": 156, "ordinal_position": 157}, {"identifier": "W47", "position": [19, 19], "step": 157, "ordinal_position": 158}, {"identifier": "B14", "position": [19, 18], "step": 158, "ordinal_position": 159}, {"identifier": "Y40", "position": [19, 17], "step": 159, "ordinal_position": 160}, {"identifier": "O09", "position": [18, 17], "step": 160, "ordinal_position": 161}, {"identifier": "T08", "position": [17, 17], "step": 161, "ordinal_position": 162}, {"identifier": "M40", "position": [16, 17], "step": 162, "ordinal_position": 163}, {"identifier": "C59", "position": [15, 17], "step": 163, "ordinal_position": 164}, {"identifier": "Q41", "position": [14, 17], "step": 164, "ordinal_position": 165}, {"identifier": "E72", "position": [13, 17], "step": 165, "ordinal_position": 166}, {"identifier": "S76", "position": [12, 17], "step": 166, "ordinal_position": 167}, {"identifier": "P02", 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"position": [17, 19], "step": 179, "ordinal_position": 180}, {"identifier": "A76", "position": [18, 19], "step": 180, "ordinal_position": 181}, {"identifier": "W47", "position": [19, 19], "step": 181, "ordinal_position": 182}, {"identifier": "B14", "position": [19, 18], "step": 182, "ordinal_position": 183}, {"identifier": "Y40", "position": [19, 17], "step": 183, "ordinal_position": 184}, {"identifier": "O09", "position": [18, 17], "step": 184, "ordinal_position": 185}, {"identifier": "T08", "position": [17, 17], "step": 185, "ordinal_position": 186}, {"identifier": "M40", "position": [16, 17], "step": 186, "ordinal_position": 187}, {"identifier": "C59", "position": [15, 17], "step": 187, "ordinal_position": 188}, {"identifier": "Q41", "position": [14, 17], "step": 188, "ordinal_position": 189}, {"identifier": "E72", "position": [13, 17], "step": 189, "ordinal_position": 190}, {"identifier": "S76", "position": [12, 17], "step": 190, "ordinal_position": 191}, {"identifier": "P02", "position": [11, 17], "step": 191, "ordinal_position": 192}, {"identifier": "T25", "position": [10, 17], "step": 192, "ordinal_position": 193}, {"identifier": "I64", "position": [9, 17], "step": 193, "ordinal_position": 194}, {"identifier": "J13", "position": [9, 18], "step": 194, "ordinal_position": 195}, {"identifier": "Q44", "position": [9, 19], "step": 195, "ordinal_position": 196}, {"identifier": "O99", "position": [10, 19], "step": 196, "ordinal_position": 197}, {"identifier": "A87", "position": [11, 19], "step": 197, "ordinal_position": 198}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 198, "direction": "down", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_007.json"}} {"qa_id": "3afeb9b96bb64fb3a4b21038a05d95e4", "image_id": "L3-MazeLoop-test_21x21_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R77, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 239th position in this traversal?", "start_object_id": "R77", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [239], "ordinal_strings": ["239th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": 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{"identifier": "H97", "position": [6, 17], "step": 12, "ordinal_position": 13}, {"identifier": "O91", "position": [7, 17], "step": 13, "ordinal_position": 14}, {"identifier": "F36", "position": [7, 18], "step": 14, "ordinal_position": 15}, {"identifier": "H93", "position": [7, 19], "step": 15, "ordinal_position": 16}, {"identifier": "U54", "position": [6, 19], "step": 16, "ordinal_position": 17}, {"identifier": "T99", "position": [5, 19], "step": 17, "ordinal_position": 18}, {"identifier": "G32", "position": [5, 18], "step": 18, "ordinal_position": 19}, {"identifier": "U52", "position": [5, 17], "step": 19, "ordinal_position": 20}, {"identifier": "H97", "position": [6, 17], "step": 20, "ordinal_position": 21}, {"identifier": "O91", "position": [7, 17], "step": 21, "ordinal_position": 22}, {"identifier": "F36", "position": [7, 18], "step": 22, "ordinal_position": 23}, {"identifier": "H93", "position": [7, 19], "step": 23, "ordinal_position": 24}, {"identifier": "U54", "position": [6, 19], "step": 24, "ordinal_position": 25}, {"identifier": "T99", "position": [5, 19], "step": 25, "ordinal_position": 26}, {"identifier": "G32", "position": [5, 18], "step": 26, "ordinal_position": 27}, {"identifier": "U52", "position": [5, 17], "step": 27, "ordinal_position": 28}, {"identifier": "H97", "position": [6, 17], "step": 28, "ordinal_position": 29}, {"identifier": "O91", "position": [7, 17], "step": 29, "ordinal_position": 30}, {"identifier": "F36", "position": [7, 18], "step": 30, "ordinal_position": 31}, {"identifier": "H93", "position": [7, 19], "step": 31, "ordinal_position": 32}, {"identifier": "U54", "position": [6, 19], "step": 32, "ordinal_position": 33}, {"identifier": "T99", "position": [5, 19], "step": 33, "ordinal_position": 34}, {"identifier": "G32", "position": [5, 18], "step": 34, "ordinal_position": 35}, {"identifier": "U52", "position": [5, 17], "step": 35, "ordinal_position": 36}, {"identifier": "H97", "position": [6, 17], "step": 36, "ordinal_position": 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"ordinal_position": 184}, {"identifier": "U54", "position": [6, 19], "step": 184, "ordinal_position": 185}, {"identifier": "T99", "position": [5, 19], "step": 185, "ordinal_position": 186}, {"identifier": "G32", "position": [5, 18], "step": 186, "ordinal_position": 187}, {"identifier": "U52", "position": [5, 17], "step": 187, "ordinal_position": 188}, {"identifier": "H97", "position": [6, 17], "step": 188, "ordinal_position": 189}, {"identifier": "O91", "position": [7, 17], "step": 189, "ordinal_position": 190}, {"identifier": "F36", "position": [7, 18], "step": 190, "ordinal_position": 191}, {"identifier": "H93", "position": [7, 19], "step": 191, "ordinal_position": 192}, {"identifier": "U54", "position": [6, 19], "step": 192, "ordinal_position": 193}, {"identifier": "T99", "position": [5, 19], "step": 193, "ordinal_position": 194}, {"identifier": "G32", "position": [5, 18], "step": 194, "ordinal_position": 195}, {"identifier": "U52", "position": [5, 17], "step": 195, "ordinal_position": 196}, {"identifier": "H97", "position": [6, 17], "step": 196, "ordinal_position": 197}, {"identifier": "O91", "position": [7, 17], "step": 197, "ordinal_position": 198}, {"identifier": "F36", "position": [7, 18], "step": 198, "ordinal_position": 199}, {"identifier": "H93", "position": [7, 19], "step": 199, "ordinal_position": 200}, {"identifier": "U54", "position": [6, 19], "step": 200, "ordinal_position": 201}, {"identifier": "T99", "position": [5, 19], "step": 201, "ordinal_position": 202}, {"identifier": "G32", "position": [5, 18], "step": 202, "ordinal_position": 203}, {"identifier": "U52", "position": [5, 17], "step": 203, "ordinal_position": 204}, {"identifier": "H97", "position": [6, 17], "step": 204, "ordinal_position": 205}, {"identifier": "O91", "position": [7, 17], "step": 205, "ordinal_position": 206}, {"identifier": "F36", "position": [7, 18], "step": 206, "ordinal_position": 207}, {"identifier": "H93", "position": [7, 19], "step": 207, "ordinal_position": 208}, {"identifier": "U54", "position": [6, 19], "step": 208, "ordinal_position": 209}, {"identifier": "T99", "position": [5, 19], "step": 209, "ordinal_position": 210}, {"identifier": "G32", "position": [5, 18], "step": 210, "ordinal_position": 211}, {"identifier": "U52", "position": [5, 17], "step": 211, "ordinal_position": 212}, {"identifier": "H97", "position": [6, 17], "step": 212, "ordinal_position": 213}, {"identifier": "O91", "position": [7, 17], "step": 213, "ordinal_position": 214}, {"identifier": "F36", "position": [7, 18], "step": 214, "ordinal_position": 215}, {"identifier": "H93", "position": [7, 19], "step": 215, "ordinal_position": 216}, {"identifier": "U54", "position": [6, 19], "step": 216, "ordinal_position": 217}, {"identifier": "T99", "position": [5, 19], "step": 217, "ordinal_position": 218}, {"identifier": "G32", "position": [5, 18], "step": 218, "ordinal_position": 219}, {"identifier": "U52", "position": [5, 17], "step": 219, "ordinal_position": 220}, {"identifier": "H97", "position": [6, 17], "step": 220, "ordinal_position": 221}, {"identifier": "O91", "position": [7, 17], "step": 221, "ordinal_position": 222}, {"identifier": "F36", "position": [7, 18], "step": 222, "ordinal_position": 223}, {"identifier": "H93", "position": [7, 19], "step": 223, "ordinal_position": 224}, {"identifier": "U54", "position": [6, 19], "step": 224, "ordinal_position": 225}, {"identifier": "T99", "position": [5, 19], "step": 225, "ordinal_position": 226}, {"identifier": "G32", "position": [5, 18], "step": 226, "ordinal_position": 227}, {"identifier": "U52", "position": [5, 17], "step": 227, "ordinal_position": 228}, {"identifier": "H97", "position": [6, 17], "step": 228, "ordinal_position": 229}, {"identifier": "O91", "position": [7, 17], "step": 229, "ordinal_position": 230}, {"identifier": "F36", "position": [7, 18], "step": 230, "ordinal_position": 231}, {"identifier": "H93", "position": [7, 19], "step": 231, "ordinal_position": 232}, {"identifier": "U54", "position": [6, 19], "step": 232, "ordinal_position": 233}, {"identifier": "T99", "position": [5, 19], "step": 233, "ordinal_position": 234}, {"identifier": "G32", "position": [5, 18], "step": 234, "ordinal_position": 235}, {"identifier": "U52", "position": [5, 17], "step": 235, "ordinal_position": 236}, {"identifier": "H97", "position": [6, 17], "step": 236, "ordinal_position": 237}, {"identifier": "O91", "position": [7, 17], "step": 237, "ordinal_position": 238}, {"identifier": "F36", "position": [7, 18], "step": 238, "ordinal_position": 239}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 239, "direction": "right", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_007.json"}} {"qa_id": "c4ede17d8e5647c2b4861e571b609a31", "image_id": "L3-MazeLoop-test_21x21_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N57, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 186th position in this traversal?", "start_object_id": "N57", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [186], "ordinal_strings": ["186th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "W47", "traversal_path": [{"identifier": "N57", "position": [1, 8], "step": 0, "ordinal_position": 1}, {"identifier": "F35", "position": [1, 9], "step": 1, "ordinal_position": 2}, {"identifier": "L99", "position": [1, 10], "step": 2, "ordinal_position": 3}, {"identifier": "E00", "position": [1, 11], "step": 3, "ordinal_position": 4}, {"identifier": "S97", "position": [2, 11], "step": 4, "ordinal_position": 5}, {"identifier": "Q54", "position": [3, 11], "step": 5, "ordinal_position": 6}, {"identifier": "V56", "position": [3, 12], "step": 6, "ordinal_position": 7}, {"identifier": "Y78", "position": [3, 13], "step": 7, "ordinal_position": 8}, {"identifier": "O60", "position": [2, 13], "step": 8, "ordinal_position": 9}, {"identifier": "D72", "position": [1, 13], "step": 9, "ordinal_position": 10}, {"identifier": "I99", "position": [1, 14], "step": 10, "ordinal_position": 11}, {"identifier": "G61", "position": [1, 15], "step": 11, "ordinal_position": 12}, {"identifier": "S04", "position": [1, 16], "step": 12, "ordinal_position": 13}, {"identifier": "Z05", "position": [1, 17], "step": 13, "ordinal_position": 14}, {"identifier": "H31", "position": [1, 18], "step": 14, "ordinal_position": 15}, {"identifier": "Y99", "position": [1, 19], "step": 15, "ordinal_position": 16}, {"identifier": "R06", "position": [2, 19], "step": 16, "ordinal_position": 17}, {"identifier": "T34", "position": [3, 19], "step": 17, "ordinal_position": 18}, {"identifier": "S15", "position": [3, 18], "step": 18, "ordinal_position": 19}, {"identifier": "Y92", "position": [3, 17], "step": 19, "ordinal_position": 20}, {"identifier": "L35", "position": [3, 16], "step": 20, "ordinal_position": 21}, {"identifier": "I05", "position": [3, 15], "step": 21, "ordinal_position": 22}, {"identifier": "O93", "position": [4, 15], "step": 22, "ordinal_position": 23}, {"identifier": "V63", "position": [5, 15], "step": 23, "ordinal_position": 24}, {"identifier": "K69", "position": [6, 15], "step": 24, "ordinal_position": 25}, {"identifier": "J85", "position": [7, 15], "step": 25, "ordinal_position": 26}, {"identifier": "R77", "position": [8, 15], "step": 26, "ordinal_position": 27}, {"identifier": "Y02", "position": [9, 15], "step": 27, "ordinal_position": 28}, {"identifier": "G13", "position": [9, 16], "step": 28, "ordinal_position": 29}, {"identifier": "I64", "position": [9, 17], "step": 29, "ordinal_position": 30}, {"identifier": "J13", "position": [9, 18], "step": 30, "ordinal_position": 31}, {"identifier": "Q44", "position": [9, 19], "step": 31, "ordinal_position": 32}, {"identifier": "O99", "position": [10, 19], "step": 32, "ordinal_position": 33}, {"identifier": "A87", "position": [11, 19], "step": 33, "ordinal_position": 34}, {"identifier": "U70", "position": [12, 19], "step": 34, "ordinal_position": 35}, {"identifier": "S02", "position": [13, 19], "step": 35, "ordinal_position": 36}, {"identifier": "H05", "position": [14, 19], "step": 36, "ordinal_position": 37}, {"identifier": "R54", "position": [15, 19], "step": 37, "ordinal_position": 38}, {"identifier": "G50", "position": [16, 19], "step": 38, "ordinal_position": 39}, {"identifier": "C99", "position": [17, 19], "step": 39, "ordinal_position": 40}, {"identifier": "A76", "position": [18, 19], "step": 40, "ordinal_position": 41}, {"identifier": "W47", "position": [19, 19], "step": 41, "ordinal_position": 42}, {"identifier": "B14", "position": [19, 18], "step": 42, "ordinal_position": 43}, {"identifier": "Y40", "position": [19, 17], "step": 43, "ordinal_position": 44}, {"identifier": "O09", "position": [18, 17], "step": 44, "ordinal_position": 45}, {"identifier": "T08", "position": [17, 17], "step": 45, "ordinal_position": 46}, {"identifier": "M40", "position": [16, 17], "step": 46, "ordinal_position": 47}, {"identifier": "C59", "position": [15, 17], "step": 47, "ordinal_position": 48}, {"identifier": "Q41", "position": [14, 17], "step": 48, "ordinal_position": 49}, {"identifier": "E72", "position": [13, 17], "step": 49, "ordinal_position": 50}, {"identifier": "S76", "position": [12, 17], "step": 50, "ordinal_position": 51}, {"identifier": "P02", "position": [11, 17], "step": 51, "ordinal_position": 52}, {"identifier": "T25", "position": [10, 17], "step": 52, "ordinal_position": 53}, {"identifier": "I64", "position": [9, 17], "step": 53, "ordinal_position": 54}, {"identifier": "J13", "position": [9, 18], "step": 54, "ordinal_position": 55}, {"identifier": "Q44", "position": [9, 19], "step": 55, "ordinal_position": 56}, {"identifier": "O99", "position": [10, 19], "step": 56, "ordinal_position": 57}, {"identifier": "A87", "position": [11, 19], "step": 57, "ordinal_position": 58}, {"identifier": "U70", "position": [12, 19], "step": 58, "ordinal_position": 59}, {"identifier": "S02", "position": [13, 19], "step": 59, "ordinal_position": 60}, {"identifier": "H05", "position": [14, 19], "step": 60, "ordinal_position": 61}, {"identifier": "R54", "position": [15, 19], "step": 61, "ordinal_position": 62}, {"identifier": "G50", "position": [16, 19], "step": 62, "ordinal_position": 63}, {"identifier": "C99", "position": [17, 19], "step": 63, "ordinal_position": 64}, {"identifier": "A76", "position": [18, 19], "step": 64, "ordinal_position": 65}, {"identifier": "W47", "position": [19, 19], "step": 65, "ordinal_position": 66}, {"identifier": "B14", "position": [19, 18], "step": 66, "ordinal_position": 67}, {"identifier": "Y40", "position": [19, 17], "step": 67, "ordinal_position": 68}, {"identifier": "O09", "position": [18, 17], "step": 68, "ordinal_position": 69}, {"identifier": "T08", "position": [17, 17], "step": 69, "ordinal_position": 70}, {"identifier": "M40", "position": [16, 17], "step": 70, "ordinal_position": 71}, {"identifier": "C59", "position": [15, 17], "step": 71, "ordinal_position": 72}, {"identifier": "Q41", "position": [14, 17], "step": 72, "ordinal_position": 73}, {"identifier": "E72", "position": [13, 17], "step": 73, "ordinal_position": 74}, {"identifier": "S76", "position": [12, 17], "step": 74, "ordinal_position": 75}, {"identifier": "P02", "position": [11, 17], "step": 75, "ordinal_position": 76}, {"identifier": "T25", "position": [10, 17], "step": 76, "ordinal_position": 77}, {"identifier": "I64", "position": [9, 17], "step": 77, "ordinal_position": 78}, {"identifier": "J13", "position": [9, 18], "step": 78, "ordinal_position": 79}, {"identifier": "Q44", "position": [9, 19], "step": 79, "ordinal_position": 80}, {"identifier": "O99", "position": [10, 19], "step": 80, "ordinal_position": 81}, {"identifier": "A87", "position": [11, 19], "step": 81, "ordinal_position": 82}, {"identifier": "U70", "position": [12, 19], "step": 82, "ordinal_position": 83}, {"identifier": "S02", "position": [13, 19], "step": 83, "ordinal_position": 84}, {"identifier": "H05", "position": [14, 19], "step": 84, "ordinal_position": 85}, {"identifier": "R54", "position": [15, 19], "step": 85, "ordinal_position": 86}, {"identifier": "G50", "position": [16, 19], "step": 86, "ordinal_position": 87}, {"identifier": "C99", "position": [17, 19], "step": 87, "ordinal_position": 88}, {"identifier": "A76", "position": [18, 19], "step": 88, "ordinal_position": 89}, {"identifier": "W47", "position": [19, 19], "step": 89, "ordinal_position": 90}, {"identifier": "B14", "position": [19, 18], "step": 90, "ordinal_position": 91}, {"identifier": "Y40", "position": [19, 17], "step": 91, "ordinal_position": 92}, {"identifier": "O09", "position": [18, 17], "step": 92, "ordinal_position": 93}, {"identifier": "T08", "position": [17, 17], "step": 93, "ordinal_position": 94}, {"identifier": "M40", "position": [16, 17], "step": 94, "ordinal_position": 95}, {"identifier": "C59", "position": [15, 17], "step": 95, "ordinal_position": 96}, {"identifier": "Q41", "position": [14, 17], "step": 96, "ordinal_position": 97}, {"identifier": "E72", "position": [13, 17], "step": 97, "ordinal_position": 98}, {"identifier": "S76", "position": [12, 17], "step": 98, "ordinal_position": 99}, {"identifier": "P02", "position": [11, 17], "step": 99, "ordinal_position": 100}, {"identifier": "T25", "position": [10, 17], "step": 100, "ordinal_position": 101}, {"identifier": "I64", "position": [9, 17], "step": 101, "ordinal_position": 102}, {"identifier": "J13", "position": [9, 18], "step": 102, "ordinal_position": 103}, {"identifier": "Q44", "position": [9, 19], "step": 103, "ordinal_position": 104}, {"identifier": "O99", "position": [10, 19], "step": 104, "ordinal_position": 105}, {"identifier": "A87", "position": [11, 19], "step": 105, "ordinal_position": 106}, {"identifier": "U70", "position": [12, 19], "step": 106, "ordinal_position": 107}, {"identifier": "S02", "position": [13, 19], "step": 107, "ordinal_position": 108}, {"identifier": "H05", "position": [14, 19], "step": 108, "ordinal_position": 109}, {"identifier": "R54", "position": [15, 19], "step": 109, "ordinal_position": 110}, {"identifier": "G50", "position": [16, 19], "step": 110, "ordinal_position": 111}, {"identifier": "C99", "position": [17, 19], "step": 111, "ordinal_position": 112}, {"identifier": "A76", "position": [18, 19], "step": 112, "ordinal_position": 113}, {"identifier": "W47", "position": [19, 19], "step": 113, "ordinal_position": 114}, {"identifier": "B14", "position": [19, 18], "step": 114, "ordinal_position": 115}, {"identifier": "Y40", "position": [19, 17], "step": 115, "ordinal_position": 116}, {"identifier": "O09", "position": [18, 17], "step": 116, "ordinal_position": 117}, {"identifier": "T08", "position": [17, 17], "step": 117, "ordinal_position": 118}, {"identifier": "M40", "position": [16, 17], "step": 118, "ordinal_position": 119}, {"identifier": "C59", "position": [15, 17], "step": 119, "ordinal_position": 120}, {"identifier": "Q41", "position": [14, 17], "step": 120, "ordinal_position": 121}, {"identifier": "E72", "position": [13, 17], "step": 121, "ordinal_position": 122}, {"identifier": "S76", "position": [12, 17], "step": 122, "ordinal_position": 123}, {"identifier": "P02", "position": [11, 17], "step": 123, "ordinal_position": 124}, {"identifier": "T25", "position": [10, 17], "step": 124, "ordinal_position": 125}, {"identifier": "I64", "position": [9, 17], "step": 125, "ordinal_position": 126}, {"identifier": "J13", "position": [9, 18], "step": 126, "ordinal_position": 127}, {"identifier": "Q44", "position": [9, 19], "step": 127, "ordinal_position": 128}, {"identifier": "O99", "position": [10, 19], "step": 128, "ordinal_position": 129}, {"identifier": "A87", "position": [11, 19], "step": 129, "ordinal_position": 130}, {"identifier": "U70", "position": [12, 19], "step": 130, "ordinal_position": 131}, {"identifier": "S02", "position": [13, 19], "step": 131, "ordinal_position": 132}, {"identifier": "H05", "position": [14, 19], "step": 132, "ordinal_position": 133}, {"identifier": "R54", "position": [15, 19], "step": 133, "ordinal_position": 134}, {"identifier": "G50", "position": [16, 19], "step": 134, "ordinal_position": 135}, {"identifier": "C99", "position": [17, 19], "step": 135, "ordinal_position": 136}, {"identifier": "A76", "position": [18, 19], "step": 136, "ordinal_position": 137}, {"identifier": "W47", "position": [19, 19], "step": 137, "ordinal_position": 138}, {"identifier": "B14", "position": [19, 18], "step": 138, "ordinal_position": 139}, {"identifier": "Y40", "position": [19, 17], "step": 139, "ordinal_position": 140}, {"identifier": "O09", "position": [18, 17], "step": 140, "ordinal_position": 141}, {"identifier": "T08", "position": [17, 17], "step": 141, "ordinal_position": 142}, {"identifier": "M40", "position": [16, 17], "step": 142, "ordinal_position": 143}, {"identifier": "C59", "position": [15, 17], "step": 143, "ordinal_position": 144}, {"identifier": "Q41", "position": [14, 17], "step": 144, "ordinal_position": 145}, {"identifier": "E72", "position": [13, 17], "step": 145, "ordinal_position": 146}, {"identifier": "S76", "position": [12, 17], "step": 146, "ordinal_position": 147}, {"identifier": "P02", "position": [11, 17], "step": 147, "ordinal_position": 148}, {"identifier": "T25", "position": [10, 17], "step": 148, "ordinal_position": 149}, {"identifier": "I64", "position": [9, 17], "step": 149, "ordinal_position": 150}, {"identifier": "J13", "position": [9, 18], "step": 150, "ordinal_position": 151}, {"identifier": "Q44", "position": [9, 19], "step": 151, "ordinal_position": 152}, {"identifier": "O99", "position": [10, 19], "step": 152, "ordinal_position": 153}, {"identifier": "A87", "position": [11, 19], "step": 153, "ordinal_position": 154}, {"identifier": "U70", "position": [12, 19], "step": 154, "ordinal_position": 155}, {"identifier": "S02", "position": [13, 19], "step": 155, "ordinal_position": 156}, {"identifier": "H05", "position": [14, 19], "step": 156, "ordinal_position": 157}, {"identifier": "R54", "position": [15, 19], "step": 157, "ordinal_position": 158}, {"identifier": "G50", "position": [16, 19], "step": 158, "ordinal_position": 159}, {"identifier": "C99", "position": [17, 19], "step": 159, "ordinal_position": 160}, {"identifier": "A76", "position": [18, 19], "step": 160, "ordinal_position": 161}, {"identifier": "W47", "position": [19, 19], "step": 161, "ordinal_position": 162}, {"identifier": "B14", "position": [19, 18], "step": 162, "ordinal_position": 163}, {"identifier": "Y40", "position": [19, 17], "step": 163, "ordinal_position": 164}, {"identifier": "O09", "position": [18, 17], "step": 164, "ordinal_position": 165}, {"identifier": "T08", "position": [17, 17], "step": 165, "ordinal_position": 166}, {"identifier": "M40", "position": [16, 17], "step": 166, "ordinal_position": 167}, {"identifier": "C59", "position": [15, 17], "step": 167, "ordinal_position": 168}, {"identifier": "Q41", "position": [14, 17], "step": 168, "ordinal_position": 169}, {"identifier": "E72", "position": [13, 17], "step": 169, "ordinal_position": 170}, {"identifier": "S76", "position": [12, 17], "step": 170, "ordinal_position": 171}, {"identifier": "P02", "position": [11, 17], "step": 171, "ordinal_position": 172}, {"identifier": "T25", "position": [10, 17], "step": 172, "ordinal_position": 173}, {"identifier": "I64", "position": [9, 17], "step": 173, "ordinal_position": 174}, {"identifier": "J13", "position": [9, 18], "step": 174, "ordinal_position": 175}, {"identifier": "Q44", "position": [9, 19], "step": 175, "ordinal_position": 176}, {"identifier": "O99", "position": [10, 19], "step": 176, "ordinal_position": 177}, {"identifier": "A87", "position": [11, 19], "step": 177, "ordinal_position": 178}, {"identifier": "U70", "position": [12, 19], "step": 178, "ordinal_position": 179}, {"identifier": "S02", "position": [13, 19], "step": 179, "ordinal_position": 180}, {"identifier": "H05", "position": [14, 19], "step": 180, "ordinal_position": 181}, {"identifier": "R54", "position": [15, 19], "step": 181, "ordinal_position": 182}, {"identifier": "G50", "position": [16, 19], "step": 182, "ordinal_position": 183}, {"identifier": "C99", "position": [17, 19], "step": 183, "ordinal_position": 184}, {"identifier": "A76", "position": [18, 19], "step": 184, "ordinal_position": 185}, {"identifier": "W47", "position": [19, 19], "step": 185, "ordinal_position": 186}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 186, "direction": "down", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_007.json"}} {"qa_id": "2c9eb0cc45f349599ccfe40bad4d900f", "image_id": "L3-MazeLoop-test_21x21_007", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A74, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 187th position in this traversal?", "start_object_id": "A74", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [187], "ordinal_strings": ["187th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "K63", "traversal_path": [{"identifier": "A74", "position": [19, 9], "step": 0, "ordinal_position": 1}, {"identifier": "N50", "position": [18, 9], "step": 1, "ordinal_position": 2}, {"identifier": "Q21", "position": [17, 9], "step": 2, "ordinal_position": 3}, {"identifier": "V11", "position": [17, 10], "step": 3, "ordinal_position": 4}, {"identifier": "D29", "position": [17, 11], "step": 4, "ordinal_position": 5}, {"identifier": "E92", "position": [17, 12], "step": 5, "ordinal_position": 6}, {"identifier": "S10", "position": [17, 13], "step": 6, "ordinal_position": 7}, {"identifier": "T95", "position": [16, 13], "step": 7, "ordinal_position": 8}, {"identifier": "Z08", "position": [15, 13], "step": 8, "ordinal_position": 9}, {"identifier": "U18", "position": [14, 13], "step": 9, "ordinal_position": 10}, {"identifier": "S33", "position": [13, 13], "step": 10, "ordinal_position": 11}, {"identifier": "U91", "position": [13, 12], "step": 11, "ordinal_position": 12}, {"identifier": "L34", "position": [13, 11], "step": 12, "ordinal_position": 13}, {"identifier": "T06", "position": [12, 11], "step": 13, "ordinal_position": 14}, {"identifier": "Y19", "position": [11, 11], "step": 14, "ordinal_position": 15}, {"identifier": "O31", "position": [11, 10], "step": 15, "ordinal_position": 16}, {"identifier": "Y82", "position": [11, 9], "step": 16, "ordinal_position": 17}, {"identifier": "K84", "position": [10, 9], "step": 17, "ordinal_position": 18}, {"identifier": "O98", "position": [9, 9], "step": 18, "ordinal_position": 19}, {"identifier": "K17", "position": [8, 9], "step": 19, "ordinal_position": 20}, {"identifier": "N61", "position": [7, 9], "step": 20, "ordinal_position": 21}, {"identifier": "F90", "position": [6, 9], "step": 21, "ordinal_position": 22}, {"identifier": "F70", "position": [5, 9], "step": 22, "ordinal_position": 23}, {"identifier": "K62", "position": [4, 9], "step": 23, "ordinal_position": 24}, {"identifier": "Z35", "position": [3, 9], "step": 24, "ordinal_position": 25}, {"identifier": "O10", "position": [2, 9], "step": 25, "ordinal_position": 26}, {"identifier": "F35", "position": [1, 9], "step": 26, "ordinal_position": 27}, {"identifier": "N57", "position": [1, 8], "step": 27, "ordinal_position": 28}, {"identifier": "D51", "position": [1, 7], "step": 28, "ordinal_position": 29}, {"identifier": "R76", "position": [1, 6], "step": 29, "ordinal_position": 30}, {"identifier": "N35", "position": [1, 5], "step": 30, "ordinal_position": 31}, {"identifier": "F20", "position": [2, 5], "step": 31, "ordinal_position": 32}, {"identifier": "K14", "position": [3, 5], "step": 32, "ordinal_position": 33}, {"identifier": "J16", "position": [3, 6], "step": 33, "ordinal_position": 34}, {"identifier": "T76", "position": [3, 7], "step": 34, "ordinal_position": 35}, {"identifier": "V20", "position": [4, 7], "step": 35, "ordinal_position": 36}, {"identifier": "I40", "position": [5, 7], "step": 36, "ordinal_position": 37}, {"identifier": "V16", "position": [6, 7], "step": 37, "ordinal_position": 38}, {"identifier": "V14", "position": [7, 7], "step": 38, "ordinal_position": 39}, {"identifier": "W75", "position": [7, 6], "step": 39, "ordinal_position": 40}, {"identifier": "F98", "position": [7, 5], "step": 40, "ordinal_position": 41}, {"identifier": "T58", "position": [8, 5], "step": 41, "ordinal_position": 42}, {"identifier": "T63", "position": [9, 5], "step": 42, "ordinal_position": 43}, {"identifier": "W94", "position": [9, 6], "step": 43, "ordinal_position": 44}, {"identifier": "F79", "position": [9, 7], "step": 44, "ordinal_position": 45}, {"identifier": "E98", "position": [10, 7], "step": 45, "ordinal_position": 46}, {"identifier": "I16", "position": [11, 7], "step": 46, "ordinal_position": 47}, {"identifier": "A94", "position": [11, 6], "step": 47, "ordinal_position": 48}, {"identifier": "X00", "position": [11, 5], "step": 48, "ordinal_position": 49}, {"identifier": "V44", "position": [12, 5], "step": 49, "ordinal_position": 50}, {"identifier": "I01", "position": [13, 5], "step": 50, "ordinal_position": 51}, {"identifier": "Z56", "position": [14, 5], "step": 51, "ordinal_position": 52}, {"identifier": "C97", "position": [15, 5], "step": 52, "ordinal_position": 53}, {"identifier": "F62", "position": [16, 5], "step": 53, "ordinal_position": 54}, {"identifier": "I71", "position": [17, 5], "step": 54, "ordinal_position": 55}, {"identifier": "V23", "position": [17, 6], "step": 55, "ordinal_position": 56}, {"identifier": "B72", "position": [17, 7], "step": 56, "ordinal_position": 57}, {"identifier": "M77", "position": [16, 7], "step": 57, "ordinal_position": 58}, {"identifier": "K63", "position": [15, 7], "step": 58, "ordinal_position": 59}, {"identifier": "B18", "position": [14, 7], "step": 59, "ordinal_position": 60}, {"identifier": "C32", "position": [13, 7], "step": 60, "ordinal_position": 61}, {"identifier": "Z11", "position": [13, 8], "step": 61, "ordinal_position": 62}, {"identifier": "H99", "position": [13, 9], "step": 62, "ordinal_position": 63}, {"identifier": "R22", "position": [14, 9], "step": 63, "ordinal_position": 64}, {"identifier": "G00", "position": [15, 9], "step": 64, "ordinal_position": 65}, {"identifier": "E20", "position": [15, 10], "step": 65, "ordinal_position": 66}, {"identifier": "T81", "position": [15, 11], "step": 66, "ordinal_position": 67}, {"identifier": "N83", "position": [16, 11], "step": 67, "ordinal_position": 68}, {"identifier": "D29", "position": [17, 11], "step": 68, "ordinal_position": 69}, {"identifier": "E92", "position": [17, 12], "step": 69, "ordinal_position": 70}, {"identifier": "S10", "position": [17, 13], "step": 70, "ordinal_position": 71}, {"identifier": "T95", "position": [16, 13], "step": 71, "ordinal_position": 72}, {"identifier": "Z08", "position": [15, 13], "step": 72, "ordinal_position": 73}, {"identifier": "U18", "position": [14, 13], "step": 73, "ordinal_position": 74}, {"identifier": "S33", "position": [13, 13], "step": 74, "ordinal_position": 75}, {"identifier": "U91", "position": [13, 12], "step": 75, "ordinal_position": 76}, {"identifier": "L34", "position": [13, 11], "step": 76, "ordinal_position": 77}, {"identifier": "T06", "position": [12, 11], "step": 77, "ordinal_position": 78}, {"identifier": "Y19", "position": [11, 11], "step": 78, "ordinal_position": 79}, {"identifier": "O31", "position": [11, 10], "step": 79, "ordinal_position": 80}, {"identifier": "Y82", "position": [11, 9], "step": 80, "ordinal_position": 81}, {"identifier": "K84", "position": [10, 9], "step": 81, "ordinal_position": 82}, {"identifier": "O98", "position": [9, 9], "step": 82, "ordinal_position": 83}, {"identifier": "K17", "position": [8, 9], "step": 83, "ordinal_position": 84}, {"identifier": "N61", "position": [7, 9], "step": 84, "ordinal_position": 85}, {"identifier": "F90", "position": [6, 9], "step": 85, "ordinal_position": 86}, {"identifier": "F70", "position": [5, 9], "step": 86, "ordinal_position": 87}, {"identifier": "K62", "position": [4, 9], "step": 87, "ordinal_position": 88}, {"identifier": "Z35", "position": [3, 9], "step": 88, "ordinal_position": 89}, {"identifier": "O10", "position": [2, 9], "step": 89, "ordinal_position": 90}, {"identifier": "F35", "position": [1, 9], "step": 90, "ordinal_position": 91}, {"identifier": "N57", "position": [1, 8], "step": 91, "ordinal_position": 92}, {"identifier": "D51", "position": [1, 7], "step": 92, "ordinal_position": 93}, {"identifier": "R76", "position": [1, 6], "step": 93, "ordinal_position": 94}, {"identifier": "N35", "position": [1, 5], "step": 94, "ordinal_position": 95}, {"identifier": "F20", "position": [2, 5], "step": 95, "ordinal_position": 96}, {"identifier": "K14", "position": [3, 5], "step": 96, "ordinal_position": 97}, {"identifier": "J16", "position": [3, 6], "step": 97, "ordinal_position": 98}, {"identifier": "T76", "position": [3, 7], "step": 98, "ordinal_position": 99}, {"identifier": "V20", "position": [4, 7], "step": 99, "ordinal_position": 100}, {"identifier": "I40", "position": [5, 7], "step": 100, "ordinal_position": 101}, {"identifier": "V16", "position": [6, 7], "step": 101, "ordinal_position": 102}, {"identifier": "V14", "position": [7, 7], "step": 102, "ordinal_position": 103}, {"identifier": "W75", "position": [7, 6], "step": 103, "ordinal_position": 104}, {"identifier": "F98", "position": [7, 5], "step": 104, "ordinal_position": 105}, {"identifier": "T58", "position": [8, 5], "step": 105, "ordinal_position": 106}, {"identifier": "T63", "position": [9, 5], "step": 106, "ordinal_position": 107}, {"identifier": "W94", "position": [9, 6], "step": 107, "ordinal_position": 108}, {"identifier": "F79", "position": [9, 7], "step": 108, "ordinal_position": 109}, {"identifier": "E98", "position": [10, 7], "step": 109, "ordinal_position": 110}, {"identifier": "I16", "position": [11, 7], "step": 110, "ordinal_position": 111}, {"identifier": "A94", "position": [11, 6], "step": 111, "ordinal_position": 112}, {"identifier": "X00", "position": [11, 5], "step": 112, "ordinal_position": 113}, {"identifier": "V44", "position": [12, 5], "step": 113, "ordinal_position": 114}, {"identifier": "I01", "position": [13, 5], "step": 114, "ordinal_position": 115}, {"identifier": "Z56", "position": [14, 5], "step": 115, "ordinal_position": 116}, {"identifier": "C97", "position": [15, 5], "step": 116, "ordinal_position": 117}, {"identifier": "F62", "position": [16, 5], "step": 117, "ordinal_position": 118}, {"identifier": "I71", "position": [17, 5], "step": 118, "ordinal_position": 119}, {"identifier": "V23", "position": [17, 6], "step": 119, "ordinal_position": 120}, {"identifier": "B72", "position": [17, 7], "step": 120, "ordinal_position": 121}, {"identifier": "M77", "position": [16, 7], "step": 121, "ordinal_position": 122}, {"identifier": "K63", "position": [15, 7], "step": 122, "ordinal_position": 123}, {"identifier": "B18", "position": [14, 7], "step": 123, "ordinal_position": 124}, {"identifier": "C32", "position": [13, 7], "step": 124, "ordinal_position": 125}, {"identifier": "Z11", "position": [13, 8], "step": 125, "ordinal_position": 126}, {"identifier": "H99", "position": [13, 9], "step": 126, "ordinal_position": 127}, {"identifier": "R22", "position": [14, 9], "step": 127, "ordinal_position": 128}, {"identifier": "G00", "position": [15, 9], "step": 128, "ordinal_position": 129}, {"identifier": "E20", "position": [15, 10], "step": 129, "ordinal_position": 130}, {"identifier": "T81", "position": [15, 11], "step": 130, "ordinal_position": 131}, {"identifier": "N83", "position": [16, 11], "step": 131, "ordinal_position": 132}, {"identifier": "D29", "position": [17, 11], "step": 132, "ordinal_position": 133}, {"identifier": "E92", "position": [17, 12], "step": 133, "ordinal_position": 134}, {"identifier": "S10", "position": [17, 13], "step": 134, "ordinal_position": 135}, {"identifier": "T95", "position": [16, 13], "step": 135, "ordinal_position": 136}, {"identifier": "Z08", "position": [15, 13], "step": 136, "ordinal_position": 137}, {"identifier": "U18", "position": [14, 13], "step": 137, "ordinal_position": 138}, {"identifier": "S33", "position": [13, 13], "step": 138, "ordinal_position": 139}, {"identifier": "U91", "position": [13, 12], "step": 139, "ordinal_position": 140}, {"identifier": "L34", "position": [13, 11], "step": 140, "ordinal_position": 141}, {"identifier": "T06", "position": [12, 11], "step": 141, "ordinal_position": 142}, {"identifier": "Y19", "position": [11, 11], "step": 142, "ordinal_position": 143}, {"identifier": "O31", "position": [11, 10], "step": 143, "ordinal_position": 144}, {"identifier": "Y82", "position": [11, 9], "step": 144, "ordinal_position": 145}, {"identifier": "K84", "position": [10, 9], "step": 145, "ordinal_position": 146}, {"identifier": "O98", "position": [9, 9], "step": 146, "ordinal_position": 147}, {"identifier": "K17", "position": [8, 9], "step": 147, "ordinal_position": 148}, {"identifier": "N61", "position": [7, 9], "step": 148, "ordinal_position": 149}, {"identifier": "F90", "position": [6, 9], "step": 149, "ordinal_position": 150}, {"identifier": "F70", "position": [5, 9], "step": 150, "ordinal_position": 151}, {"identifier": "K62", "position": [4, 9], "step": 151, "ordinal_position": 152}, {"identifier": "Z35", "position": [3, 9], "step": 152, "ordinal_position": 153}, {"identifier": "O10", "position": [2, 9], "step": 153, "ordinal_position": 154}, {"identifier": "F35", "position": [1, 9], "step": 154, "ordinal_position": 155}, {"identifier": "N57", "position": [1, 8], "step": 155, "ordinal_position": 156}, {"identifier": "D51", "position": [1, 7], "step": 156, "ordinal_position": 157}, {"identifier": "R76", "position": [1, 6], "step": 157, "ordinal_position": 158}, {"identifier": "N35", "position": [1, 5], "step": 158, "ordinal_position": 159}, {"identifier": "F20", "position": [2, 5], "step": 159, "ordinal_position": 160}, {"identifier": "K14", "position": [3, 5], "step": 160, "ordinal_position": 161}, {"identifier": "J16", "position": [3, 6], "step": 161, "ordinal_position": 162}, {"identifier": "T76", "position": [3, 7], "step": 162, "ordinal_position": 163}, {"identifier": "V20", "position": [4, 7], "step": 163, "ordinal_position": 164}, {"identifier": "I40", "position": [5, 7], "step": 164, "ordinal_position": 165}, {"identifier": "V16", "position": [6, 7], "step": 165, "ordinal_position": 166}, {"identifier": "V14", "position": [7, 7], "step": 166, "ordinal_position": 167}, {"identifier": "W75", "position": [7, 6], "step": 167, "ordinal_position": 168}, {"identifier": "F98", "position": [7, 5], "step": 168, "ordinal_position": 169}, {"identifier": "T58", "position": [8, 5], "step": 169, "ordinal_position": 170}, {"identifier": "T63", "position": [9, 5], "step": 170, "ordinal_position": 171}, {"identifier": "W94", "position": [9, 6], "step": 171, "ordinal_position": 172}, {"identifier": "F79", "position": [9, 7], "step": 172, "ordinal_position": 173}, {"identifier": "E98", "position": [10, 7], "step": 173, "ordinal_position": 174}, {"identifier": "I16", "position": [11, 7], "step": 174, "ordinal_position": 175}, {"identifier": "A94", "position": [11, 6], "step": 175, "ordinal_position": 176}, {"identifier": "X00", "position": [11, 5], "step": 176, "ordinal_position": 177}, {"identifier": "V44", "position": [12, 5], "step": 177, "ordinal_position": 178}, {"identifier": "I01", "position": [13, 5], "step": 178, "ordinal_position": 179}, {"identifier": "Z56", "position": [14, 5], "step": 179, "ordinal_position": 180}, {"identifier": "C97", "position": [15, 5], "step": 180, "ordinal_position": 181}, {"identifier": "F62", "position": [16, 5], "step": 181, "ordinal_position": 182}, {"identifier": "I71", "position": [17, 5], "step": 182, "ordinal_position": 183}, {"identifier": "V23", "position": [17, 6], "step": 183, "ordinal_position": 184}, {"identifier": "B72", "position": [17, 7], "step": 184, "ordinal_position": 185}, {"identifier": "M77", "position": [16, 7], "step": 185, "ordinal_position": 186}, {"identifier": "K63", "position": [15, 7], "step": 186, "ordinal_position": 187}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 187, "direction": "left", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_007.json"}} {"qa_id": "f1d54bf91db24354931c6a48483d209f", "image_id": "L3-MazeLoop-test_21x21_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M37, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 13th position in this traversal?", "start_object_id": "M37", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [13], "ordinal_strings": ["13th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "D07", "traversal_path": [{"identifier": "M37", "position": [11, 19], "step": 0, "ordinal_position": 1}, {"identifier": "R51", "position": [10, 19], "step": 1, "ordinal_position": 2}, {"identifier": "I14", "position": [9, 19], "step": 2, "ordinal_position": 3}, {"identifier": "U05", "position": [8, 19], "step": 3, "ordinal_position": 4}, {"identifier": "Q86", "position": [7, 19], "step": 4, "ordinal_position": 5}, {"identifier": "N27", "position": [6, 19], "step": 5, "ordinal_position": 6}, {"identifier": "V66", "position": [5, 19], "step": 6, "ordinal_position": 7}, {"identifier": "V53", "position": [4, 19], "step": 7, "ordinal_position": 8}, {"identifier": "P21", "position": [3, 19], "step": 8, "ordinal_position": 9}, {"identifier": "S03", "position": [2, 19], "step": 9, "ordinal_position": 10}, {"identifier": "V14", "position": [1, 19], "step": 10, "ordinal_position": 11}, {"identifier": "L09", "position": [1, 18], "step": 11, "ordinal_position": 12}, {"identifier": "D07", "position": [1, 17], "step": 12, "ordinal_position": 13}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 13, "direction": "left", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_008.json"}} {"qa_id": "93c0821d860e43e39dbf13e4a56b488b", "image_id": "L3-MazeLoop-test_21x21_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K15, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "K15", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Z13", "traversal_path": [{"identifier": "K15", "position": [3, 15], "step": 0, "ordinal_position": 1}, {"identifier": "V89", "position": [2, 15], "step": 1, "ordinal_position": 2}, {"identifier": "I01", "position": [1, 15], "step": 2, "ordinal_position": 3}, {"identifier": "P36", "position": [1, 14], "step": 3, "ordinal_position": 4}, {"identifier": "E47", "position": [1, 13], "step": 4, "ordinal_position": 5}, {"identifier": "P01", "position": [2, 13], "step": 5, "ordinal_position": 6}, {"identifier": "F08", "position": [3, 13], "step": 6, "ordinal_position": 7}, {"identifier": "Z13", "position": [3, 12], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 8, "direction": "left", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_008.json"}} {"qa_id": "1c9e16052a2249eeb6403335f905985f", "image_id": "L3-MazeLoop-test_21x21_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R51, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "R51", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "C81", "traversal_path": [{"identifier": "R51", "position": [10, 19], "step": 0, "ordinal_position": 1}, {"identifier": "M37", "position": [11, 19], "step": 1, "ordinal_position": 2}, {"identifier": "N07", "position": [12, 19], "step": 2, "ordinal_position": 3}, {"identifier": "C81", "position": [13, 19], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 4, "direction": "right", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_008.json"}} {"qa_id": "dd01a1b9a9ef47c79299af7e9ae23e0f", "image_id": "L3-MazeLoop-test_21x21_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C70, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "C70", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "X18", "traversal_path": [{"identifier": "C70", "position": [9, 15], "step": 0, "ordinal_position": 1}, {"identifier": "J10", "position": [9, 16], "step": 1, "ordinal_position": 2}, {"identifier": "B62", "position": [9, 17], "step": 2, "ordinal_position": 3}, {"identifier": "Q14", "position": [8, 17], "step": 3, "ordinal_position": 4}, {"identifier": "X18", "position": [7, 17], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 5, "direction": "down", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_008.json"}} {"qa_id": "0085d787c8e0416f9d56d9af426b6b9b", "image_id": "L3-MazeLoop-test_21x21_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U01, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 21st position in this traversal?", "start_object_id": "U01", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [21], "ordinal_strings": ["21st"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "E35", "traversal_path": [{"identifier": "U01", "position": [1, 10], "step": 0, "ordinal_position": 1}, {"identifier": "H23", "position": [1, 9], "step": 1, "ordinal_position": 2}, {"identifier": "I02", "position": [1, 8], "step": 2, "ordinal_position": 3}, {"identifier": "G69", "position": [1, 7], "step": 3, "ordinal_position": 4}, {"identifier": "I90", "position": [2, 7], "step": 4, "ordinal_position": 5}, {"identifier": "E57", "position": [3, 7], "step": 5, "ordinal_position": 6}, {"identifier": "L92", "position": [4, 7], "step": 6, "ordinal_position": 7}, {"identifier": "P70", "position": [5, 7], "step": 7, "ordinal_position": 8}, {"identifier": "Y43", "position": [5, 8], "step": 8, "ordinal_position": 9}, {"identifier": "I93", "position": [5, 9], "step": 9, "ordinal_position": 10}, {"identifier": "Q50", "position": [6, 9], "step": 10, "ordinal_position": 11}, {"identifier": "D27", "position": [7, 9], "step": 11, "ordinal_position": 12}, {"identifier": "E35", "position": [8, 9], "step": 12, "ordinal_position": 13}, {"identifier": "L01", "position": [9, 9], "step": 13, "ordinal_position": 14}, {"identifier": "G99", "position": [9, 8], "step": 14, "ordinal_position": 15}, {"identifier": "C34", "position": [9, 7], "step": 15, "ordinal_position": 16}, {"identifier": "I03", "position": [8, 7], "step": 16, "ordinal_position": 17}, {"identifier": "I40", "position": [7, 7], "step": 17, "ordinal_position": 18}, {"identifier": "V30", "position": [7, 8], "step": 18, "ordinal_position": 19}, {"identifier": "D27", "position": [7, 9], "step": 19, "ordinal_position": 20}, {"identifier": "E35", "position": [8, 9], "step": 20, "ordinal_position": 21}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 21, "direction": "up", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_008.json"}} {"qa_id": "1e9f382daf15495489e2f824ffe33d1e", "image_id": "L3-MazeLoop-test_21x21_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G09, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 67th position in this traversal?", "start_object_id": "G09", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [67], "ordinal_strings": ["67th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "P07", "traversal_path": [{"identifier": "G09", "position": [6, 1], "step": 0, "ordinal_position": 1}, {"identifier": "B31", "position": [7, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Q26", "position": [8, 1], "step": 2, "ordinal_position": 3}, {"identifier": "S38", "position": [9, 1], "step": 3, "ordinal_position": 4}, {"identifier": "A90", "position": [10, 1], "step": 4, "ordinal_position": 5}, {"identifier": "L76", "position": [11, 1], "step": 5, "ordinal_position": 6}, {"identifier": "H83", "position": [12, 1], "step": 6, "ordinal_position": 7}, {"identifier": "U57", "position": [13, 1], "step": 7, "ordinal_position": 8}, {"identifier": "B84", "position": [14, 1], "step": 8, "ordinal_position": 9}, {"identifier": "D44", "position": [15, 1], "step": 9, "ordinal_position": 10}, {"identifier": "T49", "position": [16, 1], "step": 10, "ordinal_position": 11}, {"identifier": "K06", "position": [17, 1], "step": 11, "ordinal_position": 12}, {"identifier": "U96", "position": [18, 1], "step": 12, "ordinal_position": 13}, {"identifier": "L56", "position": [19, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Z89", "position": [19, 2], "step": 14, "ordinal_position": 15}, {"identifier": "H27", "position": [19, 3], "step": 15, "ordinal_position": 16}, {"identifier": "E08", "position": [19, 4], "step": 16, "ordinal_position": 17}, {"identifier": "M64", "position": [19, 5], "step": 17, "ordinal_position": 18}, {"identifier": "P07", "position": [19, 6], "step": 18, "ordinal_position": 19}, {"identifier": "E54", "position": [19, 7], "step": 19, "ordinal_position": 20}, {"identifier": "W91", "position": [18, 7], "step": 20, "ordinal_position": 21}, {"identifier": "L22", "position": [17, 7], "step": 21, "ordinal_position": 22}, {"identifier": "X70", "position": [17, 6], "step": 22, "ordinal_position": 23}, {"identifier": "N09", "position": [17, 5], "step": 23, "ordinal_position": 24}, {"identifier": "B43", "position": [18, 5], "step": 24, "ordinal_position": 25}, {"identifier": "M64", "position": [19, 5], "step": 25, "ordinal_position": 26}, {"identifier": "P07", "position": [19, 6], "step": 26, "ordinal_position": 27}, {"identifier": "E54", "position": [19, 7], "step": 27, "ordinal_position": 28}, {"identifier": "W91", "position": [18, 7], "step": 28, "ordinal_position": 29}, {"identifier": "L22", "position": [17, 7], "step": 29, "ordinal_position": 30}, {"identifier": "X70", "position": [17, 6], "step": 30, "ordinal_position": 31}, {"identifier": "N09", "position": [17, 5], "step": 31, "ordinal_position": 32}, {"identifier": "B43", "position": [18, 5], "step": 32, "ordinal_position": 33}, {"identifier": "M64", "position": [19, 5], "step": 33, "ordinal_position": 34}, {"identifier": "P07", "position": [19, 6], "step": 34, "ordinal_position": 35}, {"identifier": "E54", "position": [19, 7], "step": 35, "ordinal_position": 36}, {"identifier": "W91", "position": [18, 7], "step": 36, "ordinal_position": 37}, {"identifier": "L22", "position": [17, 7], "step": 37, "ordinal_position": 38}, {"identifier": "X70", "position": [17, 6], "step": 38, "ordinal_position": 39}, {"identifier": "N09", "position": [17, 5], "step": 39, "ordinal_position": 40}, {"identifier": "B43", "position": [18, 5], "step": 40, "ordinal_position": 41}, {"identifier": "M64", "position": [19, 5], "step": 41, "ordinal_position": 42}, {"identifier": "P07", "position": [19, 6], "step": 42, "ordinal_position": 43}, {"identifier": "E54", "position": [19, 7], "step": 43, "ordinal_position": 44}, {"identifier": "W91", "position": [18, 7], "step": 44, "ordinal_position": 45}, {"identifier": "L22", "position": [17, 7], "step": 45, "ordinal_position": 46}, {"identifier": "X70", "position": [17, 6], "step": 46, "ordinal_position": 47}, {"identifier": "N09", "position": [17, 5], "step": 47, "ordinal_position": 48}, {"identifier": "B43", "position": [18, 5], "step": 48, "ordinal_position": 49}, {"identifier": "M64", "position": [19, 5], "step": 49, "ordinal_position": 50}, {"identifier": "P07", "position": [19, 6], "step": 50, "ordinal_position": 51}, {"identifier": "E54", "position": [19, 7], "step": 51, "ordinal_position": 52}, {"identifier": "W91", "position": [18, 7], "step": 52, "ordinal_position": 53}, {"identifier": "L22", "position": [17, 7], "step": 53, "ordinal_position": 54}, {"identifier": "X70", "position": [17, 6], "step": 54, "ordinal_position": 55}, {"identifier": "N09", "position": [17, 5], "step": 55, "ordinal_position": 56}, {"identifier": "B43", "position": [18, 5], "step": 56, "ordinal_position": 57}, {"identifier": "M64", "position": [19, 5], "step": 57, "ordinal_position": 58}, {"identifier": "P07", "position": [19, 6], "step": 58, "ordinal_position": 59}, {"identifier": "E54", "position": [19, 7], "step": 59, "ordinal_position": 60}, {"identifier": "W91", "position": [18, 7], "step": 60, "ordinal_position": 61}, {"identifier": "L22", "position": [17, 7], "step": 61, "ordinal_position": 62}, {"identifier": "X70", "position": [17, 6], "step": 62, "ordinal_position": 63}, {"identifier": "N09", "position": [17, 5], "step": 63, "ordinal_position": 64}, {"identifier": "B43", "position": [18, 5], "step": 64, "ordinal_position": 65}, {"identifier": "M64", "position": [19, 5], "step": 65, "ordinal_position": 66}, {"identifier": "P07", "position": [19, 6], "step": 66, "ordinal_position": 67}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 67, "direction": "right", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_008.json"}} {"qa_id": "631c0266e49e431abfdb6dc11e37da0e", "image_id": "L3-MazeLoop-test_21x21_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N14, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 44th position in this traversal?", "start_object_id": "N14", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [44], "ordinal_strings": ["44th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Q00", "traversal_path": [{"identifier": "N14", "position": [17, 17], "step": 0, "ordinal_position": 1}, {"identifier": "U06", "position": [16, 17], "step": 1, "ordinal_position": 2}, {"identifier": "N10", "position": [15, 17], "step": 2, "ordinal_position": 3}, {"identifier": "D35", "position": [15, 16], "step": 3, "ordinal_position": 4}, {"identifier": "X75", "position": [15, 15], "step": 4, "ordinal_position": 5}, {"identifier": "F17", "position": [14, 15], "step": 5, "ordinal_position": 6}, {"identifier": "Y96", "position": [13, 15], "step": 6, "ordinal_position": 7}, {"identifier": "F53", "position": [13, 14], "step": 7, "ordinal_position": 8}, {"identifier": "N38", "position": [13, 13], "step": 8, "ordinal_position": 9}, {"identifier": "P73", "position": [12, 13], "step": 9, "ordinal_position": 10}, {"identifier": "W76", "position": [11, 13], "step": 10, "ordinal_position": 11}, {"identifier": "V62", "position": [11, 12], "step": 11, "ordinal_position": 12}, {"identifier": "X21", "position": [11, 11], "step": 12, "ordinal_position": 13}, {"identifier": "R79", "position": [11, 10], "step": 13, "ordinal_position": 14}, {"identifier": "O66", "position": [11, 9], "step": 14, "ordinal_position": 15}, {"identifier": "Q00", "position": [12, 9], "step": 15, "ordinal_position": 16}, {"identifier": "V85", "position": [13, 9], "step": 16, "ordinal_position": 17}, {"identifier": "Y86", "position": [13, 10], "step": 17, "ordinal_position": 18}, {"identifier": "P12", "position": [13, 11], "step": 18, "ordinal_position": 19}, {"identifier": "F52", "position": [14, 11], "step": 19, "ordinal_position": 20}, {"identifier": "O64", "position": [15, 11], "step": 20, "ordinal_position": 21}, {"identifier": "J92", "position": [15, 12], "step": 21, "ordinal_position": 22}, {"identifier": "Q70", "position": [15, 13], "step": 22, "ordinal_position": 23}, {"identifier": "Z60", "position": [16, 13], "step": 23, "ordinal_position": 24}, {"identifier": "R66", "position": [17, 13], "step": 24, "ordinal_position": 25}, {"identifier": "D56", "position": [17, 14], "step": 25, "ordinal_position": 26}, {"identifier": "E66", "position": [17, 15], "step": 26, "ordinal_position": 27}, {"identifier": "U67", "position": [17, 16], "step": 27, "ordinal_position": 28}, {"identifier": "N14", "position": [17, 17], "step": 28, "ordinal_position": 29}, {"identifier": "U06", "position": [16, 17], "step": 29, "ordinal_position": 30}, {"identifier": "N10", "position": [15, 17], "step": 30, "ordinal_position": 31}, {"identifier": "D35", "position": [15, 16], "step": 31, "ordinal_position": 32}, {"identifier": "X75", "position": [15, 15], "step": 32, "ordinal_position": 33}, {"identifier": "F17", "position": [14, 15], "step": 33, "ordinal_position": 34}, {"identifier": "Y96", "position": [13, 15], "step": 34, "ordinal_position": 35}, {"identifier": "F53", "position": [13, 14], "step": 35, "ordinal_position": 36}, {"identifier": "N38", "position": [13, 13], "step": 36, "ordinal_position": 37}, {"identifier": "P73", "position": [12, 13], "step": 37, "ordinal_position": 38}, {"identifier": "W76", "position": [11, 13], "step": 38, "ordinal_position": 39}, {"identifier": "V62", "position": [11, 12], "step": 39, "ordinal_position": 40}, {"identifier": "X21", "position": [11, 11], "step": 40, "ordinal_position": 41}, {"identifier": "R79", "position": [11, 10], "step": 41, "ordinal_position": 42}, {"identifier": "O66", "position": [11, 9], "step": 42, "ordinal_position": 43}, {"identifier": "Q00", "position": [12, 9], "step": 43, "ordinal_position": 44}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 44, "direction": "left", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_008.json"}} {"qa_id": "b0a798455605462783a92517c8d7e99b", "image_id": "L3-MazeLoop-test_21x21_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U34, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 77th position in this traversal?", "start_object_id": "U34", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [77], "ordinal_strings": ["77th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "O25", "traversal_path": [{"identifier": "U34", "position": [3, 2], "step": 0, "ordinal_position": 1}, {"identifier": "K23", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "J11", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "L35", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "E46", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "L84", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "E79", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "Z10", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "L89", "position": [2, 5], "step": 8, "ordinal_position": 9}, {"identifier": "E33", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "J39", "position": [4, 5], "step": 10, "ordinal_position": 11}, {"identifier": "G43", "position": [5, 5], "step": 11, "ordinal_position": 12}, {"identifier": "Y62", "position": [6, 5], "step": 12, "ordinal_position": 13}, {"identifier": "M09", "position": [7, 5], "step": 13, "ordinal_position": 14}, {"identifier": "O61", "position": [8, 5], "step": 14, "ordinal_position": 15}, {"identifier": "S83", "position": [9, 5], "step": 15, "ordinal_position": 16}, {"identifier": "R42", "position": [10, 5], "step": 16, "ordinal_position": 17}, {"identifier": "P94", "position": [11, 5], "step": 17, "ordinal_position": 18}, {"identifier": "R18", "position": [11, 6], "step": 18, "ordinal_position": 19}, {"identifier": "V51", "position": [11, 7], "step": 19, "ordinal_position": 20}, {"identifier": "H12", "position": [10, 7], "step": 20, "ordinal_position": 21}, {"identifier": "C34", "position": [9, 7], "step": 21, "ordinal_position": 22}, {"identifier": "I03", "position": [8, 7], "step": 22, "ordinal_position": 23}, {"identifier": "I40", "position": [7, 7], "step": 23, "ordinal_position": 24}, {"identifier": "V30", "position": [7, 8], "step": 24, "ordinal_position": 25}, {"identifier": "D27", "position": [7, 9], "step": 25, "ordinal_position": 26}, {"identifier": "Q50", "position": [6, 9], "step": 26, "ordinal_position": 27}, {"identifier": "I93", "position": [5, 9], "step": 27, "ordinal_position": 28}, {"identifier": "O25", "position": [4, 9], "step": 28, "ordinal_position": 29}, {"identifier": "T87", "position": [3, 9], "step": 29, "ordinal_position": 30}, {"identifier": "L86", "position": [3, 8], "step": 30, "ordinal_position": 31}, {"identifier": "E57", "position": [3, 7], "step": 31, "ordinal_position": 32}, {"identifier": "L92", "position": [4, 7], "step": 32, "ordinal_position": 33}, {"identifier": "P70", "position": [5, 7], "step": 33, "ordinal_position": 34}, {"identifier": "Y43", "position": [5, 8], "step": 34, "ordinal_position": 35}, {"identifier": "I93", "position": [5, 9], "step": 35, "ordinal_position": 36}, {"identifier": "O25", "position": [4, 9], "step": 36, "ordinal_position": 37}, {"identifier": "T87", "position": [3, 9], "step": 37, "ordinal_position": 38}, {"identifier": "L86", "position": [3, 8], "step": 38, "ordinal_position": 39}, {"identifier": "E57", "position": [3, 7], "step": 39, "ordinal_position": 40}, {"identifier": "L92", "position": [4, 7], "step": 40, "ordinal_position": 41}, {"identifier": "P70", "position": [5, 7], "step": 41, "ordinal_position": 42}, {"identifier": "Y43", "position": [5, 8], "step": 42, "ordinal_position": 43}, {"identifier": "I93", "position": [5, 9], "step": 43, "ordinal_position": 44}, {"identifier": "O25", "position": [4, 9], "step": 44, "ordinal_position": 45}, {"identifier": "T87", "position": [3, 9], "step": 45, "ordinal_position": 46}, {"identifier": "L86", "position": [3, 8], "step": 46, "ordinal_position": 47}, {"identifier": "E57", "position": [3, 7], "step": 47, "ordinal_position": 48}, {"identifier": "L92", "position": [4, 7], "step": 48, "ordinal_position": 49}, {"identifier": "P70", "position": [5, 7], "step": 49, "ordinal_position": 50}, {"identifier": "Y43", "position": [5, 8], "step": 50, "ordinal_position": 51}, {"identifier": "I93", "position": [5, 9], "step": 51, "ordinal_position": 52}, {"identifier": "O25", "position": [4, 9], "step": 52, "ordinal_position": 53}, {"identifier": "T87", "position": [3, 9], "step": 53, "ordinal_position": 54}, {"identifier": "L86", "position": [3, 8], "step": 54, "ordinal_position": 55}, {"identifier": "E57", "position": [3, 7], "step": 55, "ordinal_position": 56}, {"identifier": "L92", "position": [4, 7], "step": 56, "ordinal_position": 57}, {"identifier": "P70", "position": [5, 7], "step": 57, "ordinal_position": 58}, {"identifier": "Y43", "position": [5, 8], "step": 58, "ordinal_position": 59}, {"identifier": "I93", "position": [5, 9], "step": 59, "ordinal_position": 60}, {"identifier": "O25", "position": [4, 9], "step": 60, "ordinal_position": 61}, {"identifier": "T87", "position": [3, 9], "step": 61, "ordinal_position": 62}, {"identifier": "L86", "position": [3, 8], "step": 62, "ordinal_position": 63}, {"identifier": "E57", "position": [3, 7], "step": 63, "ordinal_position": 64}, {"identifier": "L92", "position": [4, 7], "step": 64, "ordinal_position": 65}, {"identifier": "P70", "position": [5, 7], "step": 65, "ordinal_position": 66}, {"identifier": "Y43", "position": [5, 8], "step": 66, "ordinal_position": 67}, {"identifier": "I93", "position": [5, 9], "step": 67, "ordinal_position": 68}, {"identifier": "O25", "position": [4, 9], "step": 68, "ordinal_position": 69}, {"identifier": "T87", "position": [3, 9], "step": 69, "ordinal_position": 70}, {"identifier": "L86", "position": [3, 8], "step": 70, "ordinal_position": 71}, {"identifier": "E57", "position": [3, 7], "step": 71, "ordinal_position": 72}, {"identifier": "L92", "position": [4, 7], "step": 72, "ordinal_position": 73}, {"identifier": "P70", "position": [5, 7], "step": 73, "ordinal_position": 74}, {"identifier": "Y43", "position": [5, 8], "step": 74, "ordinal_position": 75}, {"identifier": "I93", "position": [5, 9], "step": 75, "ordinal_position": 76}, {"identifier": "O25", "position": [4, 9], "step": 76, "ordinal_position": 77}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 77, "direction": "up", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_008.json"}} {"qa_id": "00b3dc9b7ab64d338e60c6b27c8ae679", "image_id": "L3-MazeLoop-test_21x21_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F21, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 43rd position in this traversal?", "start_object_id": "F21", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [43], "ordinal_strings": ["43rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "P36", "traversal_path": [{"identifier": "F21", "position": [18, 9], "step": 0, "ordinal_position": 1}, {"identifier": "M12", "position": [19, 9], "step": 1, "ordinal_position": 2}, {"identifier": "Y56", "position": [19, 10], "step": 2, "ordinal_position": 3}, {"identifier": "A59", "position": [19, 11], "step": 3, "ordinal_position": 4}, {"identifier": "C08", "position": [19, 12], "step": 4, "ordinal_position": 5}, {"identifier": "M14", "position": [19, 13], "step": 5, "ordinal_position": 6}, {"identifier": "D36", "position": [19, 14], "step": 6, "ordinal_position": 7}, {"identifier": "P50", "position": [19, 15], "step": 7, "ordinal_position": 8}, {"identifier": "X96", "position": [19, 16], "step": 8, "ordinal_position": 9}, {"identifier": "H67", "position": [19, 17], "step": 9, "ordinal_position": 10}, {"identifier": "U49", "position": [19, 18], "step": 10, "ordinal_position": 11}, {"identifier": "Z90", "position": [19, 19], "step": 11, "ordinal_position": 12}, {"identifier": "S95", "position": [18, 19], "step": 12, "ordinal_position": 13}, {"identifier": "U47", "position": [17, 19], "step": 13, "ordinal_position": 14}, {"identifier": "K44", "position": [16, 19], "step": 14, "ordinal_position": 15}, {"identifier": "O21", "position": [15, 19], "step": 15, "ordinal_position": 16}, {"identifier": "U77", "position": [14, 19], "step": 16, "ordinal_position": 17}, {"identifier": "C81", "position": [13, 19], "step": 17, "ordinal_position": 18}, {"identifier": "N07", "position": [12, 19], "step": 18, "ordinal_position": 19}, {"identifier": "M37", "position": [11, 19], "step": 19, "ordinal_position": 20}, {"identifier": "R51", "position": [10, 19], "step": 20, "ordinal_position": 21}, {"identifier": "I14", "position": [9, 19], "step": 21, "ordinal_position": 22}, {"identifier": "U05", "position": [8, 19], "step": 22, "ordinal_position": 23}, {"identifier": "Q86", "position": [7, 19], "step": 23, "ordinal_position": 24}, {"identifier": "N27", "position": [6, 19], "step": 24, "ordinal_position": 25}, {"identifier": "V66", "position": [5, 19], "step": 25, "ordinal_position": 26}, {"identifier": "V53", "position": [4, 19], "step": 26, "ordinal_position": 27}, {"identifier": "P21", "position": [3, 19], "step": 27, "ordinal_position": 28}, {"identifier": "S03", "position": [2, 19], "step": 28, "ordinal_position": 29}, {"identifier": "V14", "position": [1, 19], "step": 29, "ordinal_position": 30}, {"identifier": "L09", "position": [1, 18], "step": 30, "ordinal_position": 31}, {"identifier": "D07", "position": [1, 17], "step": 31, "ordinal_position": 32}, {"identifier": "R88", "position": [2, 17], "step": 32, "ordinal_position": 33}, {"identifier": "D39", "position": [3, 17], "step": 33, "ordinal_position": 34}, {"identifier": "P89", "position": [4, 17], "step": 34, "ordinal_position": 35}, {"identifier": "F23", "position": [5, 17], "step": 35, "ordinal_position": 36}, {"identifier": "U65", "position": [5, 16], "step": 36, "ordinal_position": 37}, {"identifier": "V44", "position": [5, 15], "step": 37, "ordinal_position": 38}, {"identifier": "X68", "position": [4, 15], "step": 38, "ordinal_position": 39}, {"identifier": "K15", "position": [3, 15], "step": 39, "ordinal_position": 40}, {"identifier": "V89", "position": [2, 15], "step": 40, "ordinal_position": 41}, {"identifier": "I01", "position": [1, 15], "step": 41, "ordinal_position": 42}, {"identifier": "P36", "position": [1, 14], "step": 42, "ordinal_position": 43}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 43, "direction": "right", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_008.json"}} {"qa_id": "a881f3c822f747f78a63b76887d1fb8f", "image_id": "L3-MazeLoop-test_21x21_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L92, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 40th position in this traversal?", "start_object_id": "L92", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [40], "ordinal_strings": ["40th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "C81", "traversal_path": [{"identifier": "L92", "position": [4, 7], "step": 0, "ordinal_position": 1}, {"identifier": "E57", "position": [3, 7], "step": 1, "ordinal_position": 2}, {"identifier": "I90", "position": [2, 7], "step": 2, "ordinal_position": 3}, {"identifier": "G69", "position": [1, 7], "step": 3, "ordinal_position": 4}, {"identifier": "I02", "position": [1, 8], "step": 4, "ordinal_position": 5}, {"identifier": "H23", "position": [1, 9], "step": 5, "ordinal_position": 6}, {"identifier": "U01", "position": [1, 10], "step": 6, "ordinal_position": 7}, {"identifier": "K01", "position": [1, 11], "step": 7, "ordinal_position": 8}, {"identifier": "K83", "position": [2, 11], "step": 8, "ordinal_position": 9}, {"identifier": "G92", "position": [3, 11], "step": 9, "ordinal_position": 10}, {"identifier": "Z13", "position": [3, 12], "step": 10, "ordinal_position": 11}, {"identifier": "F08", "position": [3, 13], "step": 11, "ordinal_position": 12}, {"identifier": "P01", "position": [2, 13], "step": 12, "ordinal_position": 13}, {"identifier": "E47", "position": [1, 13], "step": 13, "ordinal_position": 14}, {"identifier": "P36", "position": [1, 14], "step": 14, "ordinal_position": 15}, {"identifier": "I01", "position": [1, 15], "step": 15, "ordinal_position": 16}, {"identifier": "V89", "position": [2, 15], "step": 16, "ordinal_position": 17}, {"identifier": "K15", "position": [3, 15], "step": 17, "ordinal_position": 18}, {"identifier": "X68", "position": [4, 15], "step": 18, "ordinal_position": 19}, {"identifier": "V44", "position": [5, 15], "step": 19, "ordinal_position": 20}, {"identifier": "U65", "position": [5, 16], "step": 20, "ordinal_position": 21}, {"identifier": "F23", "position": [5, 17], "step": 21, "ordinal_position": 22}, {"identifier": "P89", "position": [4, 17], "step": 22, "ordinal_position": 23}, {"identifier": "D39", "position": [3, 17], "step": 23, "ordinal_position": 24}, {"identifier": "R88", "position": [2, 17], "step": 24, "ordinal_position": 25}, {"identifier": "D07", "position": [1, 17], "step": 25, "ordinal_position": 26}, {"identifier": "L09", "position": [1, 18], "step": 26, "ordinal_position": 27}, {"identifier": "V14", "position": [1, 19], "step": 27, "ordinal_position": 28}, {"identifier": "S03", "position": [2, 19], "step": 28, "ordinal_position": 29}, {"identifier": "P21", "position": [3, 19], "step": 29, "ordinal_position": 30}, {"identifier": "V53", "position": [4, 19], "step": 30, "ordinal_position": 31}, {"identifier": "V66", "position": [5, 19], "step": 31, "ordinal_position": 32}, {"identifier": "N27", "position": [6, 19], "step": 32, "ordinal_position": 33}, {"identifier": "Q86", "position": [7, 19], "step": 33, "ordinal_position": 34}, {"identifier": "U05", "position": [8, 19], "step": 34, "ordinal_position": 35}, {"identifier": "I14", "position": [9, 19], "step": 35, "ordinal_position": 36}, {"identifier": "R51", "position": [10, 19], "step": 36, "ordinal_position": 37}, {"identifier": "M37", "position": [11, 19], "step": 37, "ordinal_position": 38}, {"identifier": "N07", "position": [12, 19], "step": 38, "ordinal_position": 39}, {"identifier": "C81", "position": [13, 19], "step": 39, "ordinal_position": 40}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 40, "direction": "left", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_008.json"}} {"qa_id": "eb3915f0abd34ecea77b13092f917bf0", "image_id": "L3-MazeLoop-test_21x21_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L00, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 165th position in this traversal?", "start_object_id": "L00", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [165], "ordinal_strings": ["165th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "U67", "traversal_path": [{"identifier": "L00", "position": [11, 4], "step": 0, "ordinal_position": 1}, {"identifier": "P10", "position": [11, 3], "step": 1, "ordinal_position": 2}, {"identifier": "M77", "position": [12, 3], "step": 2, "ordinal_position": 3}, {"identifier": "F43", "position": [13, 3], "step": 3, "ordinal_position": 4}, {"identifier": "M11", "position": [13, 4], "step": 4, "ordinal_position": 5}, {"identifier": "D79", "position": [13, 5], "step": 5, "ordinal_position": 6}, {"identifier": "N80", "position": [14, 5], "step": 6, "ordinal_position": 7}, {"identifier": "D90", "position": [15, 5], "step": 7, "ordinal_position": 8}, {"identifier": "I00", "position": [15, 6], "step": 8, "ordinal_position": 9}, {"identifier": "A27", "position": [15, 7], "step": 9, "ordinal_position": 10}, {"identifier": "V29", "position": [14, 7], "step": 10, "ordinal_position": 11}, {"identifier": "Y99", "position": [13, 7], "step": 11, "ordinal_position": 12}, {"identifier": "K89", "position": [13, 8], "step": 12, "ordinal_position": 13}, {"identifier": "V85", "position": [13, 9], "step": 13, "ordinal_position": 14}, {"identifier": "Y86", "position": [13, 10], "step": 14, "ordinal_position": 15}, {"identifier": "P12", "position": [13, 11], "step": 15, "ordinal_position": 16}, {"identifier": "F52", "position": [14, 11], "step": 16, "ordinal_position": 17}, {"identifier": "O64", "position": [15, 11], "step": 17, "ordinal_position": 18}, {"identifier": "J92", "position": [15, 12], "step": 18, "ordinal_position": 19}, {"identifier": "Q70", "position": [15, 13], "step": 19, "ordinal_position": 20}, {"identifier": "Z60", "position": [16, 13], "step": 20, "ordinal_position": 21}, {"identifier": "R66", "position": [17, 13], "step": 21, "ordinal_position": 22}, {"identifier": "D56", "position": [17, 14], "step": 22, "ordinal_position": 23}, {"identifier": "E66", "position": [17, 15], "step": 23, "ordinal_position": 24}, {"identifier": "U67", "position": [17, 16], "step": 24, "ordinal_position": 25}, {"identifier": "N14", "position": [17, 17], "step": 25, "ordinal_position": 26}, {"identifier": "U06", "position": [16, 17], "step": 26, "ordinal_position": 27}, {"identifier": "N10", "position": [15, 17], "step": 27, "ordinal_position": 28}, {"identifier": "D35", "position": [15, 16], "step": 28, "ordinal_position": 29}, {"identifier": "X75", "position": [15, 15], "step": 29, "ordinal_position": 30}, {"identifier": "F17", "position": [14, 15], "step": 30, "ordinal_position": 31}, {"identifier": "Y96", "position": [13, 15], "step": 31, "ordinal_position": 32}, {"identifier": "F53", "position": [13, 14], "step": 32, "ordinal_position": 33}, {"identifier": "N38", "position": [13, 13], "step": 33, "ordinal_position": 34}, {"identifier": "P73", "position": [12, 13], "step": 34, "ordinal_position": 35}, {"identifier": "W76", "position": [11, 13], "step": 35, "ordinal_position": 36}, {"identifier": "V62", "position": [11, 12], "step": 36, "ordinal_position": 37}, {"identifier": "X21", "position": [11, 11], "step": 37, "ordinal_position": 38}, {"identifier": "R79", "position": [11, 10], "step": 38, "ordinal_position": 39}, {"identifier": "O66", "position": [11, 9], "step": 39, "ordinal_position": 40}, {"identifier": "Q00", "position": [12, 9], "step": 40, "ordinal_position": 41}, {"identifier": "V85", "position": [13, 9], "step": 41, "ordinal_position": 42}, {"identifier": "Y86", "position": [13, 10], "step": 42, "ordinal_position": 43}, {"identifier": "P12", "position": [13, 11], "step": 43, "ordinal_position": 44}, {"identifier": "F52", "position": [14, 11], "step": 44, "ordinal_position": 45}, {"identifier": "O64", "position": [15, 11], "step": 45, "ordinal_position": 46}, {"identifier": "J92", "position": [15, 12], "step": 46, "ordinal_position": 47}, {"identifier": "Q70", "position": [15, 13], "step": 47, "ordinal_position": 48}, {"identifier": "Z60", "position": [16, 13], "step": 48, "ordinal_position": 49}, {"identifier": "R66", "position": [17, 13], "step": 49, "ordinal_position": 50}, {"identifier": "D56", "position": [17, 14], "step": 50, "ordinal_position": 51}, {"identifier": "E66", "position": [17, 15], "step": 51, "ordinal_position": 52}, {"identifier": "U67", "position": [17, 16], "step": 52, "ordinal_position": 53}, {"identifier": "N14", "position": [17, 17], "step": 53, "ordinal_position": 54}, {"identifier": "U06", "position": [16, 17], "step": 54, "ordinal_position": 55}, {"identifier": "N10", "position": [15, 17], "step": 55, "ordinal_position": 56}, {"identifier": "D35", "position": [15, 16], "step": 56, "ordinal_position": 57}, {"identifier": "X75", "position": [15, 15], "step": 57, "ordinal_position": 58}, {"identifier": "F17", "position": [14, 15], "step": 58, "ordinal_position": 59}, {"identifier": "Y96", "position": [13, 15], "step": 59, "ordinal_position": 60}, {"identifier": "F53", "position": [13, 14], "step": 60, "ordinal_position": 61}, {"identifier": "N38", "position": [13, 13], "step": 61, "ordinal_position": 62}, {"identifier": "P73", "position": [12, 13], "step": 62, "ordinal_position": 63}, {"identifier": "W76", "position": [11, 13], "step": 63, "ordinal_position": 64}, {"identifier": "V62", "position": [11, 12], "step": 64, "ordinal_position": 65}, {"identifier": "X21", "position": [11, 11], "step": 65, "ordinal_position": 66}, {"identifier": "R79", "position": [11, 10], "step": 66, "ordinal_position": 67}, {"identifier": "O66", "position": [11, 9], "step": 67, "ordinal_position": 68}, {"identifier": "Q00", "position": [12, 9], "step": 68, "ordinal_position": 69}, {"identifier": "V85", "position": [13, 9], "step": 69, "ordinal_position": 70}, {"identifier": "Y86", "position": [13, 10], "step": 70, "ordinal_position": 71}, {"identifier": "P12", "position": [13, 11], "step": 71, "ordinal_position": 72}, {"identifier": "F52", "position": [14, 11], "step": 72, "ordinal_position": 73}, {"identifier": "O64", "position": [15, 11], "step": 73, "ordinal_position": 74}, {"identifier": "J92", "position": [15, 12], "step": 74, "ordinal_position": 75}, {"identifier": "Q70", "position": [15, 13], "step": 75, "ordinal_position": 76}, {"identifier": "Z60", "position": [16, 13], "step": 76, "ordinal_position": 77}, {"identifier": "R66", "position": [17, 13], "step": 77, "ordinal_position": 78}, {"identifier": "D56", "position": [17, 14], "step": 78, "ordinal_position": 79}, {"identifier": "E66", "position": [17, 15], "step": 79, "ordinal_position": 80}, {"identifier": "U67", "position": [17, 16], "step": 80, "ordinal_position": 81}, {"identifier": "N14", "position": [17, 17], "step": 81, "ordinal_position": 82}, {"identifier": "U06", "position": [16, 17], "step": 82, "ordinal_position": 83}, {"identifier": "N10", "position": [15, 17], "step": 83, "ordinal_position": 84}, {"identifier": "D35", "position": [15, 16], "step": 84, "ordinal_position": 85}, {"identifier": "X75", "position": [15, 15], "step": 85, "ordinal_position": 86}, {"identifier": "F17", "position": [14, 15], "step": 86, "ordinal_position": 87}, {"identifier": "Y96", "position": [13, 15], "step": 87, "ordinal_position": 88}, {"identifier": "F53", "position": [13, 14], "step": 88, "ordinal_position": 89}, {"identifier": "N38", "position": [13, 13], "step": 89, "ordinal_position": 90}, {"identifier": "P73", "position": [12, 13], "step": 90, "ordinal_position": 91}, {"identifier": "W76", "position": [11, 13], "step": 91, "ordinal_position": 92}, {"identifier": "V62", "position": [11, 12], "step": 92, "ordinal_position": 93}, {"identifier": "X21", "position": [11, 11], "step": 93, "ordinal_position": 94}, {"identifier": "R79", "position": [11, 10], "step": 94, "ordinal_position": 95}, {"identifier": "O66", "position": [11, 9], "step": 95, "ordinal_position": 96}, {"identifier": "Q00", "position": [12, 9], "step": 96, "ordinal_position": 97}, {"identifier": "V85", "position": [13, 9], "step": 97, "ordinal_position": 98}, {"identifier": "Y86", "position": [13, 10], "step": 98, "ordinal_position": 99}, {"identifier": "P12", "position": [13, 11], "step": 99, "ordinal_position": 100}, {"identifier": "F52", "position": [14, 11], "step": 100, "ordinal_position": 101}, {"identifier": "O64", "position": [15, 11], "step": 101, "ordinal_position": 102}, {"identifier": "J92", "position": [15, 12], "step": 102, "ordinal_position": 103}, {"identifier": "Q70", "position": [15, 13], "step": 103, "ordinal_position": 104}, {"identifier": "Z60", "position": [16, 13], "step": 104, "ordinal_position": 105}, {"identifier": "R66", "position": [17, 13], "step": 105, "ordinal_position": 106}, {"identifier": "D56", "position": [17, 14], "step": 106, "ordinal_position": 107}, {"identifier": "E66", "position": [17, 15], "step": 107, "ordinal_position": 108}, {"identifier": "U67", "position": [17, 16], "step": 108, "ordinal_position": 109}, {"identifier": "N14", "position": [17, 17], "step": 109, "ordinal_position": 110}, {"identifier": "U06", "position": [16, 17], "step": 110, "ordinal_position": 111}, {"identifier": "N10", "position": [15, 17], "step": 111, "ordinal_position": 112}, {"identifier": "D35", "position": [15, 16], "step": 112, "ordinal_position": 113}, {"identifier": "X75", "position": [15, 15], "step": 113, "ordinal_position": 114}, {"identifier": "F17", "position": [14, 15], "step": 114, "ordinal_position": 115}, {"identifier": "Y96", "position": [13, 15], "step": 115, "ordinal_position": 116}, {"identifier": "F53", "position": [13, 14], "step": 116, "ordinal_position": 117}, {"identifier": "N38", "position": [13, 13], "step": 117, "ordinal_position": 118}, {"identifier": "P73", "position": [12, 13], "step": 118, "ordinal_position": 119}, {"identifier": "W76", "position": [11, 13], "step": 119, "ordinal_position": 120}, {"identifier": "V62", "position": [11, 12], "step": 120, "ordinal_position": 121}, {"identifier": "X21", "position": [11, 11], "step": 121, "ordinal_position": 122}, {"identifier": "R79", "position": [11, 10], "step": 122, "ordinal_position": 123}, {"identifier": "O66", "position": [11, 9], "step": 123, "ordinal_position": 124}, {"identifier": "Q00", "position": [12, 9], "step": 124, "ordinal_position": 125}, {"identifier": "V85", "position": [13, 9], "step": 125, "ordinal_position": 126}, {"identifier": "Y86", "position": [13, 10], "step": 126, "ordinal_position": 127}, {"identifier": "P12", "position": [13, 11], "step": 127, "ordinal_position": 128}, {"identifier": "F52", "position": [14, 11], "step": 128, "ordinal_position": 129}, {"identifier": "O64", "position": [15, 11], "step": 129, "ordinal_position": 130}, {"identifier": "J92", "position": [15, 12], "step": 130, "ordinal_position": 131}, {"identifier": "Q70", "position": [15, 13], "step": 131, "ordinal_position": 132}, {"identifier": "Z60", "position": [16, 13], "step": 132, "ordinal_position": 133}, {"identifier": "R66", "position": [17, 13], "step": 133, "ordinal_position": 134}, {"identifier": "D56", "position": [17, 14], "step": 134, "ordinal_position": 135}, {"identifier": "E66", "position": [17, 15], "step": 135, "ordinal_position": 136}, {"identifier": "U67", "position": [17, 16], "step": 136, "ordinal_position": 137}, {"identifier": "N14", "position": [17, 17], "step": 137, "ordinal_position": 138}, {"identifier": "U06", "position": [16, 17], "step": 138, "ordinal_position": 139}, {"identifier": "N10", "position": [15, 17], "step": 139, "ordinal_position": 140}, {"identifier": "D35", "position": [15, 16], "step": 140, "ordinal_position": 141}, {"identifier": "X75", "position": [15, 15], "step": 141, "ordinal_position": 142}, {"identifier": "F17", "position": [14, 15], "step": 142, "ordinal_position": 143}, {"identifier": "Y96", "position": [13, 15], "step": 143, "ordinal_position": 144}, {"identifier": "F53", "position": [13, 14], "step": 144, "ordinal_position": 145}, {"identifier": "N38", "position": [13, 13], "step": 145, "ordinal_position": 146}, {"identifier": "P73", "position": [12, 13], "step": 146, "ordinal_position": 147}, {"identifier": "W76", "position": [11, 13], "step": 147, "ordinal_position": 148}, {"identifier": "V62", "position": [11, 12], "step": 148, "ordinal_position": 149}, {"identifier": "X21", "position": [11, 11], "step": 149, "ordinal_position": 150}, {"identifier": "R79", "position": [11, 10], "step": 150, "ordinal_position": 151}, {"identifier": "O66", "position": [11, 9], "step": 151, "ordinal_position": 152}, {"identifier": "Q00", "position": [12, 9], "step": 152, "ordinal_position": 153}, {"identifier": "V85", "position": [13, 9], "step": 153, "ordinal_position": 154}, {"identifier": "Y86", "position": [13, 10], "step": 154, "ordinal_position": 155}, {"identifier": "P12", "position": [13, 11], "step": 155, "ordinal_position": 156}, {"identifier": "F52", "position": [14, 11], "step": 156, "ordinal_position": 157}, {"identifier": "O64", "position": [15, 11], "step": 157, "ordinal_position": 158}, {"identifier": "J92", "position": [15, 12], "step": 158, "ordinal_position": 159}, {"identifier": "Q70", "position": [15, 13], "step": 159, "ordinal_position": 160}, {"identifier": "Z60", "position": [16, 13], "step": 160, "ordinal_position": 161}, {"identifier": "R66", "position": [17, 13], "step": 161, "ordinal_position": 162}, {"identifier": "D56", "position": [17, 14], "step": 162, "ordinal_position": 163}, {"identifier": "E66", "position": [17, 15], "step": 163, "ordinal_position": 164}, {"identifier": "U67", "position": [17, 16], "step": 164, "ordinal_position": 165}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 165, "direction": "up", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_008.json"}} {"qa_id": "e336f11a636149c8ba46b9c2ddfb3899", "image_id": "L3-MazeLoop-test_21x21_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T87, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 192nd position in this traversal?", "start_object_id": "T87", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [192], "ordinal_strings": ["192nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "O25", "traversal_path": [{"identifier": "T87", "position": [3, 9], "step": 0, "ordinal_position": 1}, {"identifier": "O25", "position": [4, 9], "step": 1, "ordinal_position": 2}, {"identifier": "I93", "position": [5, 9], "step": 2, "ordinal_position": 3}, {"identifier": "Q50", "position": [6, 9], "step": 3, "ordinal_position": 4}, {"identifier": "D27", "position": [7, 9], "step": 4, "ordinal_position": 5}, {"identifier": "E35", "position": [8, 9], "step": 5, "ordinal_position": 6}, {"identifier": "L01", "position": [9, 9], "step": 6, "ordinal_position": 7}, {"identifier": "Z58", "position": [9, 10], "step": 7, "ordinal_position": 8}, {"identifier": "D26", "position": [9, 11], "step": 8, "ordinal_position": 9}, {"identifier": "H56", "position": [8, 11], "step": 9, "ordinal_position": 10}, {"identifier": "F86", "position": [7, 11], "step": 10, "ordinal_position": 11}, {"identifier": "F62", "position": [6, 11], "step": 11, "ordinal_position": 12}, {"identifier": "W41", "position": [5, 11], "step": 12, "ordinal_position": 13}, {"identifier": "B13", "position": [5, 12], "step": 13, "ordinal_position": 14}, {"identifier": "G54", "position": [5, 13], "step": 14, "ordinal_position": 15}, {"identifier": "Z11", "position": [6, 13], "step": 15, "ordinal_position": 16}, {"identifier": "X05", "position": [7, 13], "step": 16, "ordinal_position": 17}, {"identifier": "Y77", "position": [8, 13], "step": 17, "ordinal_position": 18}, {"identifier": "Q99", "position": [9, 13], "step": 18, "ordinal_position": 19}, {"identifier": "X10", "position": [9, 14], "step": 19, "ordinal_position": 20}, {"identifier": "C70", "position": [9, 15], "step": 20, "ordinal_position": 21}, {"identifier": "J10", "position": [9, 16], "step": 21, "ordinal_position": 22}, {"identifier": "B62", "position": [9, 17], "step": 22, "ordinal_position": 23}, {"identifier": "Q14", "position": [8, 17], "step": 23, "ordinal_position": 24}, {"identifier": "X18", "position": [7, 17], "step": 24, "ordinal_position": 25}, {"identifier": "X98", "position": [7, 18], "step": 25, "ordinal_position": 26}, {"identifier": "Q86", "position": [7, 19], "step": 26, "ordinal_position": 27}, {"identifier": "N27", "position": [6, 19], "step": 27, "ordinal_position": 28}, {"identifier": "V66", "position": [5, 19], "step": 28, "ordinal_position": 29}, {"identifier": "V53", "position": [4, 19], "step": 29, "ordinal_position": 30}, {"identifier": "P21", "position": [3, 19], "step": 30, "ordinal_position": 31}, {"identifier": "S03", "position": [2, 19], "step": 31, "ordinal_position": 32}, {"identifier": "V14", "position": [1, 19], "step": 32, "ordinal_position": 33}, {"identifier": "L09", "position": [1, 18], "step": 33, "ordinal_position": 34}, {"identifier": "D07", "position": [1, 17], "step": 34, "ordinal_position": 35}, {"identifier": "R88", "position": [2, 17], "step": 35, "ordinal_position": 36}, {"identifier": "D39", "position": [3, 17], "step": 36, "ordinal_position": 37}, {"identifier": "P89", "position": [4, 17], "step": 37, "ordinal_position": 38}, {"identifier": "F23", "position": [5, 17], "step": 38, "ordinal_position": 39}, {"identifier": "U65", "position": [5, 16], "step": 39, "ordinal_position": 40}, {"identifier": "V44", "position": [5, 15], "step": 40, "ordinal_position": 41}, {"identifier": "X68", "position": [4, 15], "step": 41, "ordinal_position": 42}, {"identifier": "K15", "position": [3, 15], "step": 42, "ordinal_position": 43}, {"identifier": "V89", "position": [2, 15], "step": 43, "ordinal_position": 44}, {"identifier": "I01", "position": [1, 15], "step": 44, "ordinal_position": 45}, {"identifier": "P36", "position": [1, 14], "step": 45, "ordinal_position": 46}, {"identifier": "E47", "position": [1, 13], "step": 46, "ordinal_position": 47}, {"identifier": "P01", "position": [2, 13], "step": 47, "ordinal_position": 48}, {"identifier": "F08", "position": [3, 13], "step": 48, "ordinal_position": 49}, {"identifier": "Z13", "position": [3, 12], "step": 49, "ordinal_position": 50}, {"identifier": "G92", "position": [3, 11], "step": 50, "ordinal_position": 51}, {"identifier": "K83", "position": [2, 11], "step": 51, "ordinal_position": 52}, {"identifier": "K01", "position": [1, 11], "step": 52, "ordinal_position": 53}, {"identifier": "U01", "position": [1, 10], "step": 53, "ordinal_position": 54}, {"identifier": "H23", "position": [1, 9], "step": 54, "ordinal_position": 55}, {"identifier": "I02", "position": [1, 8], "step": 55, "ordinal_position": 56}, {"identifier": "G69", "position": [1, 7], "step": 56, "ordinal_position": 57}, {"identifier": "I90", "position": [2, 7], "step": 57, "ordinal_position": 58}, {"identifier": "E57", "position": [3, 7], "step": 58, "ordinal_position": 59}, {"identifier": "L92", "position": [4, 7], "step": 59, "ordinal_position": 60}, {"identifier": "P70", "position": [5, 7], "step": 60, "ordinal_position": 61}, {"identifier": "Y43", "position": [5, 8], "step": 61, "ordinal_position": 62}, {"identifier": "I93", "position": [5, 9], "step": 62, "ordinal_position": 63}, {"identifier": "O25", "position": [4, 9], "step": 63, "ordinal_position": 64}, {"identifier": "T87", "position": [3, 9], "step": 64, "ordinal_position": 65}, {"identifier": "L86", "position": [3, 8], "step": 65, "ordinal_position": 66}, {"identifier": "E57", "position": [3, 7], "step": 66, "ordinal_position": 67}, {"identifier": "L92", "position": [4, 7], "step": 67, "ordinal_position": 68}, {"identifier": "P70", "position": [5, 7], "step": 68, "ordinal_position": 69}, {"identifier": "Y43", "position": [5, 8], "step": 69, "ordinal_position": 70}, {"identifier": "I93", "position": [5, 9], "step": 70, "ordinal_position": 71}, {"identifier": "O25", "position": [4, 9], "step": 71, "ordinal_position": 72}, {"identifier": "T87", "position": [3, 9], "step": 72, "ordinal_position": 73}, {"identifier": "L86", "position": [3, 8], "step": 73, "ordinal_position": 74}, {"identifier": "E57", "position": [3, 7], "step": 74, "ordinal_position": 75}, {"identifier": "L92", "position": [4, 7], "step": 75, "ordinal_position": 76}, {"identifier": "P70", "position": [5, 7], "step": 76, "ordinal_position": 77}, {"identifier": "Y43", "position": [5, 8], "step": 77, "ordinal_position": 78}, {"identifier": "I93", "position": [5, 9], "step": 78, "ordinal_position": 79}, {"identifier": "O25", "position": [4, 9], "step": 79, "ordinal_position": 80}, {"identifier": "T87", "position": [3, 9], "step": 80, "ordinal_position": 81}, {"identifier": "L86", "position": [3, 8], "step": 81, "ordinal_position": 82}, {"identifier": "E57", "position": [3, 7], "step": 82, "ordinal_position": 83}, {"identifier": "L92", "position": [4, 7], "step": 83, "ordinal_position": 84}, {"identifier": "P70", "position": [5, 7], "step": 84, "ordinal_position": 85}, {"identifier": "Y43", "position": [5, 8], "step": 85, "ordinal_position": 86}, {"identifier": "I93", "position": [5, 9], "step": 86, "ordinal_position": 87}, {"identifier": "O25", "position": [4, 9], "step": 87, "ordinal_position": 88}, {"identifier": "T87", "position": [3, 9], "step": 88, "ordinal_position": 89}, {"identifier": "L86", "position": [3, 8], "step": 89, "ordinal_position": 90}, {"identifier": "E57", "position": [3, 7], "step": 90, "ordinal_position": 91}, {"identifier": "L92", "position": [4, 7], "step": 91, "ordinal_position": 92}, {"identifier": "P70", "position": [5, 7], "step": 92, "ordinal_position": 93}, {"identifier": "Y43", "position": [5, 8], "step": 93, "ordinal_position": 94}, {"identifier": "I93", "position": [5, 9], "step": 94, "ordinal_position": 95}, {"identifier": "O25", "position": [4, 9], "step": 95, "ordinal_position": 96}, {"identifier": "T87", "position": [3, 9], "step": 96, "ordinal_position": 97}, {"identifier": "L86", "position": [3, 8], "step": 97, "ordinal_position": 98}, {"identifier": "E57", "position": [3, 7], "step": 98, "ordinal_position": 99}, {"identifier": "L92", "position": [4, 7], "step": 99, "ordinal_position": 100}, {"identifier": "P70", "position": [5, 7], "step": 100, "ordinal_position": 101}, {"identifier": "Y43", "position": [5, 8], "step": 101, "ordinal_position": 102}, {"identifier": "I93", "position": [5, 9], "step": 102, "ordinal_position": 103}, {"identifier": "O25", "position": [4, 9], "step": 103, "ordinal_position": 104}, {"identifier": "T87", "position": [3, 9], "step": 104, "ordinal_position": 105}, {"identifier": "L86", "position": [3, 8], "step": 105, "ordinal_position": 106}, {"identifier": "E57", "position": [3, 7], "step": 106, "ordinal_position": 107}, {"identifier": "L92", "position": [4, 7], "step": 107, "ordinal_position": 108}, {"identifier": "P70", "position": [5, 7], "step": 108, "ordinal_position": 109}, {"identifier": "Y43", "position": [5, 8], "step": 109, "ordinal_position": 110}, {"identifier": "I93", "position": [5, 9], "step": 110, "ordinal_position": 111}, {"identifier": "O25", "position": [4, 9], "step": 111, "ordinal_position": 112}, {"identifier": "T87", "position": [3, 9], "step": 112, "ordinal_position": 113}, {"identifier": "L86", "position": [3, 8], "step": 113, "ordinal_position": 114}, {"identifier": "E57", "position": [3, 7], "step": 114, "ordinal_position": 115}, {"identifier": "L92", "position": [4, 7], "step": 115, "ordinal_position": 116}, {"identifier": "P70", "position": [5, 7], "step": 116, "ordinal_position": 117}, {"identifier": "Y43", "position": [5, 8], "step": 117, "ordinal_position": 118}, {"identifier": "I93", "position": [5, 9], "step": 118, "ordinal_position": 119}, {"identifier": "O25", "position": [4, 9], "step": 119, "ordinal_position": 120}, {"identifier": "T87", "position": [3, 9], "step": 120, "ordinal_position": 121}, {"identifier": "L86", "position": [3, 8], "step": 121, "ordinal_position": 122}, {"identifier": "E57", "position": [3, 7], "step": 122, "ordinal_position": 123}, {"identifier": "L92", "position": [4, 7], "step": 123, "ordinal_position": 124}, {"identifier": "P70", "position": [5, 7], "step": 124, "ordinal_position": 125}, {"identifier": "Y43", "position": [5, 8], "step": 125, "ordinal_position": 126}, {"identifier": "I93", "position": [5, 9], "step": 126, "ordinal_position": 127}, {"identifier": "O25", "position": [4, 9], "step": 127, "ordinal_position": 128}, {"identifier": "T87", "position": [3, 9], "step": 128, "ordinal_position": 129}, {"identifier": "L86", "position": [3, 8], "step": 129, "ordinal_position": 130}, {"identifier": "E57", "position": [3, 7], "step": 130, "ordinal_position": 131}, {"identifier": "L92", "position": [4, 7], "step": 131, "ordinal_position": 132}, {"identifier": "P70", "position": [5, 7], "step": 132, "ordinal_position": 133}, {"identifier": "Y43", "position": [5, 8], "step": 133, "ordinal_position": 134}, {"identifier": "I93", "position": [5, 9], "step": 134, "ordinal_position": 135}, {"identifier": "O25", "position": [4, 9], "step": 135, "ordinal_position": 136}, {"identifier": "T87", "position": [3, 9], "step": 136, "ordinal_position": 137}, {"identifier": "L86", "position": [3, 8], "step": 137, "ordinal_position": 138}, {"identifier": "E57", "position": [3, 7], "step": 138, "ordinal_position": 139}, {"identifier": "L92", "position": [4, 7], "step": 139, "ordinal_position": 140}, {"identifier": "P70", "position": [5, 7], "step": 140, "ordinal_position": 141}, {"identifier": "Y43", "position": [5, 8], "step": 141, "ordinal_position": 142}, {"identifier": "I93", "position": [5, 9], "step": 142, "ordinal_position": 143}, {"identifier": "O25", "position": [4, 9], "step": 143, "ordinal_position": 144}, {"identifier": "T87", "position": [3, 9], "step": 144, "ordinal_position": 145}, {"identifier": "L86", "position": [3, 8], "step": 145, "ordinal_position": 146}, {"identifier": "E57", "position": [3, 7], "step": 146, "ordinal_position": 147}, {"identifier": "L92", "position": [4, 7], "step": 147, "ordinal_position": 148}, {"identifier": "P70", "position": [5, 7], "step": 148, "ordinal_position": 149}, {"identifier": "Y43", "position": [5, 8], "step": 149, "ordinal_position": 150}, {"identifier": "I93", "position": [5, 9], "step": 150, "ordinal_position": 151}, {"identifier": "O25", "position": [4, 9], "step": 151, "ordinal_position": 152}, {"identifier": "T87", "position": [3, 9], "step": 152, "ordinal_position": 153}, {"identifier": "L86", "position": [3, 8], "step": 153, "ordinal_position": 154}, {"identifier": "E57", "position": [3, 7], "step": 154, "ordinal_position": 155}, {"identifier": "L92", "position": [4, 7], "step": 155, "ordinal_position": 156}, {"identifier": "P70", "position": [5, 7], "step": 156, "ordinal_position": 157}, {"identifier": "Y43", "position": [5, 8], "step": 157, "ordinal_position": 158}, {"identifier": "I93", "position": [5, 9], "step": 158, "ordinal_position": 159}, {"identifier": "O25", "position": [4, 9], "step": 159, "ordinal_position": 160}, {"identifier": "T87", "position": [3, 9], "step": 160, "ordinal_position": 161}, {"identifier": "L86", "position": [3, 8], "step": 161, "ordinal_position": 162}, {"identifier": "E57", "position": [3, 7], "step": 162, "ordinal_position": 163}, {"identifier": "L92", "position": [4, 7], "step": 163, "ordinal_position": 164}, {"identifier": "P70", "position": [5, 7], "step": 164, "ordinal_position": 165}, {"identifier": "Y43", "position": [5, 8], "step": 165, "ordinal_position": 166}, {"identifier": "I93", "position": [5, 9], "step": 166, "ordinal_position": 167}, {"identifier": "O25", "position": [4, 9], "step": 167, "ordinal_position": 168}, {"identifier": "T87", "position": [3, 9], "step": 168, "ordinal_position": 169}, {"identifier": "L86", "position": [3, 8], "step": 169, "ordinal_position": 170}, {"identifier": "E57", "position": [3, 7], "step": 170, "ordinal_position": 171}, {"identifier": "L92", "position": [4, 7], "step": 171, "ordinal_position": 172}, {"identifier": "P70", "position": [5, 7], "step": 172, "ordinal_position": 173}, {"identifier": "Y43", "position": [5, 8], "step": 173, "ordinal_position": 174}, {"identifier": "I93", "position": [5, 9], "step": 174, "ordinal_position": 175}, {"identifier": "O25", "position": [4, 9], "step": 175, "ordinal_position": 176}, {"identifier": "T87", "position": [3, 9], "step": 176, "ordinal_position": 177}, {"identifier": "L86", "position": [3, 8], "step": 177, "ordinal_position": 178}, {"identifier": "E57", "position": [3, 7], "step": 178, "ordinal_position": 179}, {"identifier": "L92", "position": [4, 7], "step": 179, "ordinal_position": 180}, {"identifier": "P70", "position": [5, 7], "step": 180, "ordinal_position": 181}, {"identifier": "Y43", "position": [5, 8], "step": 181, "ordinal_position": 182}, {"identifier": "I93", "position": [5, 9], "step": 182, "ordinal_position": 183}, {"identifier": "O25", "position": [4, 9], "step": 183, "ordinal_position": 184}, {"identifier": "T87", "position": [3, 9], "step": 184, "ordinal_position": 185}, {"identifier": "L86", "position": [3, 8], "step": 185, "ordinal_position": 186}, {"identifier": "E57", "position": [3, 7], "step": 186, "ordinal_position": 187}, {"identifier": "L92", "position": [4, 7], "step": 187, "ordinal_position": 188}, {"identifier": "P70", "position": [5, 7], "step": 188, "ordinal_position": 189}, {"identifier": "Y43", "position": [5, 8], "step": 189, "ordinal_position": 190}, {"identifier": "I93", "position": [5, 9], "step": 190, "ordinal_position": 191}, {"identifier": "O25", "position": [4, 9], "step": 191, "ordinal_position": 192}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 192, "direction": "right", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_008.json"}} {"qa_id": "ec15f7f48897428e8c718271dc950618", "image_id": "L3-MazeLoop-test_21x21_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V89, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 248th position in this traversal?", "start_object_id": "V89", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [248], "ordinal_strings": ["248th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "E57", "traversal_path": [{"identifier": "V89", "position": [2, 15], "step": 0, "ordinal_position": 1}, {"identifier": "I01", "position": [1, 15], "step": 1, "ordinal_position": 2}, {"identifier": "P36", "position": [1, 14], "step": 2, "ordinal_position": 3}, {"identifier": "E47", "position": [1, 13], "step": 3, "ordinal_position": 4}, {"identifier": "P01", "position": [2, 13], "step": 4, "ordinal_position": 5}, {"identifier": "F08", "position": [3, 13], "step": 5, "ordinal_position": 6}, {"identifier": "Z13", "position": [3, 12], "step": 6, "ordinal_position": 7}, {"identifier": "G92", "position": [3, 11], "step": 7, "ordinal_position": 8}, {"identifier": "K83", "position": [2, 11], "step": 8, "ordinal_position": 9}, {"identifier": "K01", "position": [1, 11], "step": 9, "ordinal_position": 10}, {"identifier": "U01", "position": [1, 10], "step": 10, "ordinal_position": 11}, {"identifier": "H23", "position": [1, 9], "step": 11, "ordinal_position": 12}, {"identifier": "I02", "position": [1, 8], "step": 12, "ordinal_position": 13}, {"identifier": "G69", "position": [1, 7], "step": 13, "ordinal_position": 14}, {"identifier": "I90", "position": [2, 7], "step": 14, "ordinal_position": 15}, {"identifier": "E57", "position": [3, 7], "step": 15, "ordinal_position": 16}, {"identifier": "L92", "position": [4, 7], "step": 16, "ordinal_position": 17}, {"identifier": "P70", "position": [5, 7], "step": 17, "ordinal_position": 18}, {"identifier": "Y43", "position": [5, 8], "step": 18, "ordinal_position": 19}, {"identifier": "I93", "position": [5, 9], "step": 19, "ordinal_position": 20}, {"identifier": "O25", "position": [4, 9], "step": 20, "ordinal_position": 21}, {"identifier": "T87", "position": [3, 9], "step": 21, "ordinal_position": 22}, {"identifier": "L86", "position": [3, 8], "step": 22, "ordinal_position": 23}, {"identifier": "E57", "position": [3, 7], "step": 23, "ordinal_position": 24}, {"identifier": "L92", "position": [4, 7], "step": 24, "ordinal_position": 25}, {"identifier": "P70", "position": [5, 7], "step": 25, "ordinal_position": 26}, {"identifier": "Y43", "position": [5, 8], "step": 26, "ordinal_position": 27}, {"identifier": "I93", "position": [5, 9], "step": 27, "ordinal_position": 28}, {"identifier": "O25", "position": [4, 9], "step": 28, "ordinal_position": 29}, {"identifier": "T87", "position": [3, 9], "step": 29, "ordinal_position": 30}, {"identifier": "L86", "position": [3, 8], "step": 30, "ordinal_position": 31}, {"identifier": "E57", "position": [3, 7], "step": 31, "ordinal_position": 32}, {"identifier": "L92", "position": [4, 7], "step": 32, "ordinal_position": 33}, {"identifier": "P70", "position": [5, 7], "step": 33, "ordinal_position": 34}, {"identifier": "Y43", "position": [5, 8], "step": 34, "ordinal_position": 35}, {"identifier": "I93", "position": [5, 9], "step": 35, "ordinal_position": 36}, {"identifier": "O25", "position": [4, 9], "step": 36, "ordinal_position": 37}, {"identifier": "T87", "position": [3, 9], "step": 37, "ordinal_position": 38}, {"identifier": "L86", "position": [3, 8], "step": 38, "ordinal_position": 39}, {"identifier": "E57", "position": [3, 7], "step": 39, "ordinal_position": 40}, {"identifier": "L92", "position": [4, 7], "step": 40, "ordinal_position": 41}, {"identifier": "P70", "position": [5, 7], "step": 41, "ordinal_position": 42}, {"identifier": "Y43", "position": [5, 8], "step": 42, "ordinal_position": 43}, {"identifier": "I93", "position": [5, 9], "step": 43, "ordinal_position": 44}, {"identifier": "O25", "position": [4, 9], "step": 44, "ordinal_position": 45}, {"identifier": "T87", "position": [3, 9], "step": 45, "ordinal_position": 46}, {"identifier": "L86", "position": [3, 8], "step": 46, "ordinal_position": 47}, {"identifier": "E57", "position": [3, 7], "step": 47, "ordinal_position": 48}, {"identifier": "L92", "position": [4, 7], "step": 48, "ordinal_position": 49}, {"identifier": "P70", "position": [5, 7], "step": 49, "ordinal_position": 50}, {"identifier": "Y43", "position": [5, 8], "step": 50, "ordinal_position": 51}, {"identifier": "I93", "position": [5, 9], "step": 51, "ordinal_position": 52}, {"identifier": "O25", "position": [4, 9], "step": 52, "ordinal_position": 53}, {"identifier": "T87", "position": [3, 9], "step": 53, "ordinal_position": 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"step": 66, "ordinal_position": 67}, {"identifier": "I93", "position": [5, 9], "step": 67, "ordinal_position": 68}, {"identifier": "O25", "position": [4, 9], "step": 68, "ordinal_position": 69}, {"identifier": "T87", "position": [3, 9], "step": 69, "ordinal_position": 70}, {"identifier": "L86", "position": [3, 8], "step": 70, "ordinal_position": 71}, {"identifier": "E57", "position": [3, 7], "step": 71, "ordinal_position": 72}, {"identifier": "L92", "position": [4, 7], "step": 72, "ordinal_position": 73}, {"identifier": "P70", "position": [5, 7], "step": 73, "ordinal_position": 74}, {"identifier": "Y43", "position": [5, 8], "step": 74, "ordinal_position": 75}, {"identifier": "I93", "position": [5, 9], "step": 75, "ordinal_position": 76}, {"identifier": "O25", "position": [4, 9], "step": 76, "ordinal_position": 77}, {"identifier": "T87", "position": [3, 9], "step": 77, "ordinal_position": 78}, {"identifier": "L86", "position": [3, 8], "step": 78, "ordinal_position": 79}, {"identifier": 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202, "ordinal_position": 203}, {"identifier": "I93", "position": [5, 9], "step": 203, "ordinal_position": 204}, {"identifier": "O25", "position": [4, 9], "step": 204, "ordinal_position": 205}, {"identifier": "T87", "position": [3, 9], "step": 205, "ordinal_position": 206}, {"identifier": "L86", "position": [3, 8], "step": 206, "ordinal_position": 207}, {"identifier": "E57", "position": [3, 7], "step": 207, "ordinal_position": 208}, {"identifier": "L92", "position": [4, 7], "step": 208, "ordinal_position": 209}, {"identifier": "P70", "position": [5, 7], "step": 209, "ordinal_position": 210}, {"identifier": "Y43", "position": [5, 8], "step": 210, "ordinal_position": 211}, {"identifier": "I93", "position": [5, 9], "step": 211, "ordinal_position": 212}, {"identifier": "O25", "position": [4, 9], "step": 212, "ordinal_position": 213}, {"identifier": "T87", "position": [3, 9], "step": 213, "ordinal_position": 214}, {"identifier": "L86", "position": [3, 8], "step": 214, "ordinal_position": 215}, {"identifier": "E57", "position": [3, 7], "step": 215, "ordinal_position": 216}, {"identifier": "L92", "position": [4, 7], "step": 216, "ordinal_position": 217}, {"identifier": "P70", "position": [5, 7], "step": 217, "ordinal_position": 218}, {"identifier": "Y43", "position": [5, 8], "step": 218, "ordinal_position": 219}, {"identifier": "I93", "position": [5, 9], "step": 219, "ordinal_position": 220}, {"identifier": "O25", "position": [4, 9], "step": 220, "ordinal_position": 221}, {"identifier": "T87", "position": [3, 9], "step": 221, "ordinal_position": 222}, {"identifier": "L86", "position": [3, 8], "step": 222, "ordinal_position": 223}, {"identifier": "E57", "position": [3, 7], "step": 223, "ordinal_position": 224}, {"identifier": "L92", "position": [4, 7], "step": 224, "ordinal_position": 225}, {"identifier": "P70", "position": [5, 7], "step": 225, "ordinal_position": 226}, {"identifier": "Y43", "position": [5, 8], "step": 226, "ordinal_position": 227}, {"identifier": "I93", "position": [5, 9], "step": 227, "ordinal_position": 228}, {"identifier": "O25", "position": [4, 9], "step": 228, "ordinal_position": 229}, {"identifier": "T87", "position": [3, 9], "step": 229, "ordinal_position": 230}, {"identifier": "L86", "position": [3, 8], "step": 230, "ordinal_position": 231}, {"identifier": "E57", "position": [3, 7], "step": 231, "ordinal_position": 232}, {"identifier": "L92", "position": [4, 7], "step": 232, "ordinal_position": 233}, {"identifier": "P70", "position": [5, 7], "step": 233, "ordinal_position": 234}, {"identifier": "Y43", "position": [5, 8], "step": 234, "ordinal_position": 235}, {"identifier": "I93", "position": [5, 9], "step": 235, "ordinal_position": 236}, {"identifier": "O25", "position": [4, 9], "step": 236, "ordinal_position": 237}, {"identifier": "T87", "position": [3, 9], "step": 237, "ordinal_position": 238}, {"identifier": "L86", "position": [3, 8], "step": 238, "ordinal_position": 239}, {"identifier": "E57", "position": [3, 7], "step": 239, "ordinal_position": 240}, {"identifier": "L92", "position": [4, 7], "step": 240, "ordinal_position": 241}, {"identifier": "P70", "position": [5, 7], "step": 241, "ordinal_position": 242}, {"identifier": "Y43", "position": [5, 8], "step": 242, "ordinal_position": 243}, {"identifier": "I93", "position": [5, 9], "step": 243, "ordinal_position": 244}, {"identifier": "O25", "position": [4, 9], "step": 244, "ordinal_position": 245}, {"identifier": "T87", "position": [3, 9], "step": 245, "ordinal_position": 246}, {"identifier": "L86", "position": [3, 8], "step": 246, "ordinal_position": 247}, {"identifier": "E57", "position": [3, 7], "step": 247, "ordinal_position": 248}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 248, "direction": "left", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_008.json"}} {"qa_id": "897a4f886d744ccebe79cefc6c5abf57", "image_id": "L3-MazeLoop-test_21x21_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H83, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 171st position in this traversal?", "start_object_id": "H83", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [171], "ordinal_strings": ["171st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "I03", "traversal_path": [{"identifier": "H83", "position": [12, 1], "step": 0, "ordinal_position": 1}, {"identifier": "L76", "position": [11, 1], "step": 1, "ordinal_position": 2}, {"identifier": "A90", "position": [10, 1], "step": 2, "ordinal_position": 3}, {"identifier": "S38", "position": [9, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Q26", "position": [8, 1], "step": 4, "ordinal_position": 5}, {"identifier": "B31", "position": [7, 1], "step": 5, "ordinal_position": 6}, {"identifier": "G09", "position": [6, 1], "step": 6, "ordinal_position": 7}, {"identifier": "B51", "position": [5, 1], "step": 7, "ordinal_position": 8}, {"identifier": "P00", "position": [5, 2], "step": 8, "ordinal_position": 9}, {"identifier": "L34", "position": [5, 3], "step": 9, "ordinal_position": 10}, {"identifier": "C66", "position": [6, 3], "step": 10, "ordinal_position": 11}, {"identifier": "V56", "position": [7, 3], "step": 11, "ordinal_position": 12}, {"identifier": "O57", "position": [8, 3], "step": 12, "ordinal_position": 13}, {"identifier": "M00", "position": [9, 3], "step": 13, "ordinal_position": 14}, {"identifier": "F63", "position": [9, 4], "step": 14, "ordinal_position": 15}, {"identifier": "S83", "position": [9, 5], "step": 15, "ordinal_position": 16}, {"identifier": "R42", "position": [10, 5], "step": 16, "ordinal_position": 17}, {"identifier": "P94", "position": [11, 5], "step": 17, "ordinal_position": 18}, {"identifier": "L00", "position": [11, 4], "step": 18, "ordinal_position": 19}, {"identifier": "P10", "position": [11, 3], "step": 19, "ordinal_position": 20}, {"identifier": "M77", "position": [12, 3], "step": 20, "ordinal_position": 21}, {"identifier": "F43", "position": [13, 3], "step": 21, "ordinal_position": 22}, {"identifier": "M11", "position": [13, 4], "step": 22, "ordinal_position": 23}, {"identifier": "D79", "position": [13, 5], "step": 23, "ordinal_position": 24}, {"identifier": "N80", "position": [14, 5], "step": 24, "ordinal_position": 25}, {"identifier": "D90", "position": [15, 5], "step": 25, "ordinal_position": 26}, {"identifier": "I00", "position": [15, 6], "step": 26, "ordinal_position": 27}, {"identifier": "A27", "position": [15, 7], "step": 27, "ordinal_position": 28}, {"identifier": "V29", "position": [14, 7], "step": 28, "ordinal_position": 29}, {"identifier": "Y99", "position": [13, 7], "step": 29, "ordinal_position": 30}, {"identifier": "K89", "position": [13, 8], "step": 30, "ordinal_position": 31}, {"identifier": "V85", "position": [13, 9], "step": 31, "ordinal_position": 32}, {"identifier": "Y86", "position": [13, 10], "step": 32, "ordinal_position": 33}, {"identifier": "P12", "position": [13, 11], "step": 33, "ordinal_position": 34}, {"identifier": "F52", "position": [14, 11], "step": 34, "ordinal_position": 35}, {"identifier": "O64", "position": [15, 11], "step": 35, "ordinal_position": 36}, {"identifier": "D43", "position": [15, 10], "step": 36, "ordinal_position": 37}, {"identifier": "Z45", "position": [15, 9], "step": 37, "ordinal_position": 38}, {"identifier": "O83", "position": [16, 9], "step": 38, "ordinal_position": 39}, {"identifier": "O80", "position": [17, 9], "step": 39, "ordinal_position": 40}, {"identifier": "F21", "position": [18, 9], "step": 40, "ordinal_position": 41}, {"identifier": "M12", "position": [19, 9], "step": 41, "ordinal_position": 42}, {"identifier": "Y56", "position": [19, 10], "step": 42, "ordinal_position": 43}, {"identifier": "A59", "position": [19, 11], "step": 43, "ordinal_position": 44}, {"identifier": "C08", "position": [19, 12], "step": 44, "ordinal_position": 45}, {"identifier": "M14", "position": [19, 13], "step": 45, "ordinal_position": 46}, {"identifier": "D36", "position": [19, 14], "step": 46, "ordinal_position": 47}, {"identifier": "P50", "position": [19, 15], "step": 47, "ordinal_position": 48}, {"identifier": "X96", "position": [19, 16], "step": 48, "ordinal_position": 49}, {"identifier": "H67", "position": [19, 17], "step": 49, "ordinal_position": 50}, {"identifier": "U49", "position": [19, 18], "step": 50, "ordinal_position": 51}, {"identifier": "Z90", "position": [19, 19], "step": 51, "ordinal_position": 52}, {"identifier": "S95", "position": [18, 19], "step": 52, "ordinal_position": 53}, {"identifier": "U47", "position": [17, 19], "step": 53, "ordinal_position": 54}, {"identifier": "K44", "position": [16, 19], "step": 54, "ordinal_position": 55}, {"identifier": "O21", "position": [15, 19], "step": 55, "ordinal_position": 56}, {"identifier": "U77", "position": [14, 19], "step": 56, "ordinal_position": 57}, {"identifier": "C81", "position": [13, 19], "step": 57, "ordinal_position": 58}, {"identifier": "N07", "position": [12, 19], "step": 58, "ordinal_position": 59}, {"identifier": "M37", "position": [11, 19], "step": 59, "ordinal_position": 60}, {"identifier": "R51", "position": [10, 19], "step": 60, "ordinal_position": 61}, {"identifier": "I14", "position": [9, 19], "step": 61, "ordinal_position": 62}, {"identifier": "U05", "position": [8, 19], "step": 62, "ordinal_position": 63}, {"identifier": "Q86", "position": [7, 19], "step": 63, "ordinal_position": 64}, {"identifier": "N27", "position": [6, 19], "step": 64, "ordinal_position": 65}, {"identifier": "V66", "position": [5, 19], "step": 65, "ordinal_position": 66}, {"identifier": "V53", "position": [4, 19], "step": 66, "ordinal_position": 67}, {"identifier": "P21", "position": [3, 19], "step": 67, "ordinal_position": 68}, {"identifier": "S03", "position": [2, 19], "step": 68, "ordinal_position": 69}, {"identifier": "V14", "position": [1, 19], "step": 69, "ordinal_position": 70}, {"identifier": "L09", "position": [1, 18], "step": 70, "ordinal_position": 71}, {"identifier": "D07", "position": [1, 17], "step": 71, "ordinal_position": 72}, {"identifier": "R88", "position": [2, 17], "step": 72, "ordinal_position": 73}, {"identifier": "D39", "position": [3, 17], "step": 73, "ordinal_position": 74}, {"identifier": "P89", "position": [4, 17], "step": 74, "ordinal_position": 75}, {"identifier": "F23", "position": [5, 17], "step": 75, "ordinal_position": 76}, {"identifier": "U65", "position": [5, 16], "step": 76, "ordinal_position": 77}, {"identifier": "V44", "position": [5, 15], "step": 77, "ordinal_position": 78}, {"identifier": "X68", "position": [4, 15], "step": 78, "ordinal_position": 79}, {"identifier": "K15", "position": [3, 15], "step": 79, "ordinal_position": 80}, {"identifier": "V89", "position": [2, 15], "step": 80, "ordinal_position": 81}, {"identifier": "I01", "position": [1, 15], "step": 81, "ordinal_position": 82}, {"identifier": "P36", "position": [1, 14], "step": 82, "ordinal_position": 83}, {"identifier": "E47", "position": [1, 13], "step": 83, "ordinal_position": 84}, {"identifier": "P01", "position": [2, 13], "step": 84, "ordinal_position": 85}, {"identifier": "F08", "position": [3, 13], "step": 85, "ordinal_position": 86}, {"identifier": "Z13", "position": [3, 12], "step": 86, "ordinal_position": 87}, {"identifier": "G92", "position": [3, 11], "step": 87, "ordinal_position": 88}, {"identifier": "K83", "position": [2, 11], "step": 88, "ordinal_position": 89}, {"identifier": "K01", "position": [1, 11], "step": 89, "ordinal_position": 90}, {"identifier": "U01", "position": [1, 10], "step": 90, "ordinal_position": 91}, {"identifier": "H23", "position": [1, 9], "step": 91, "ordinal_position": 92}, {"identifier": "I02", "position": [1, 8], "step": 92, "ordinal_position": 93}, {"identifier": "G69", "position": [1, 7], "step": 93, "ordinal_position": 94}, {"identifier": "I90", "position": [2, 7], "step": 94, "ordinal_position": 95}, {"identifier": "E57", "position": [3, 7], "step": 95, "ordinal_position": 96}, {"identifier": "L92", "position": [4, 7], "step": 96, "ordinal_position": 97}, {"identifier": "P70", "position": [5, 7], "step": 97, "ordinal_position": 98}, {"identifier": "Y43", "position": [5, 8], "step": 98, "ordinal_position": 99}, {"identifier": "I93", "position": [5, 9], "step": 99, "ordinal_position": 100}, {"identifier": "Q50", "position": [6, 9], "step": 100, "ordinal_position": 101}, {"identifier": "D27", "position": [7, 9], "step": 101, "ordinal_position": 102}, {"identifier": "E35", "position": [8, 9], "step": 102, "ordinal_position": 103}, {"identifier": "L01", "position": [9, 9], "step": 103, "ordinal_position": 104}, {"identifier": "G99", "position": [9, 8], "step": 104, "ordinal_position": 105}, {"identifier": "C34", "position": [9, 7], "step": 105, "ordinal_position": 106}, {"identifier": "I03", "position": [8, 7], "step": 106, "ordinal_position": 107}, {"identifier": "I40", "position": [7, 7], "step": 107, "ordinal_position": 108}, {"identifier": "V30", "position": [7, 8], "step": 108, "ordinal_position": 109}, {"identifier": "D27", "position": [7, 9], "step": 109, "ordinal_position": 110}, {"identifier": "E35", "position": [8, 9], "step": 110, "ordinal_position": 111}, {"identifier": "L01", "position": [9, 9], "step": 111, "ordinal_position": 112}, {"identifier": "G99", "position": [9, 8], "step": 112, "ordinal_position": 113}, {"identifier": "C34", "position": [9, 7], "step": 113, "ordinal_position": 114}, {"identifier": "I03", "position": [8, 7], "step": 114, "ordinal_position": 115}, {"identifier": "I40", "position": [7, 7], "step": 115, "ordinal_position": 116}, {"identifier": "V30", "position": [7, 8], "step": 116, "ordinal_position": 117}, {"identifier": "D27", "position": [7, 9], "step": 117, "ordinal_position": 118}, {"identifier": "E35", "position": [8, 9], "step": 118, "ordinal_position": 119}, {"identifier": "L01", "position": [9, 9], "step": 119, "ordinal_position": 120}, {"identifier": "G99", "position": [9, 8], "step": 120, "ordinal_position": 121}, {"identifier": "C34", "position": [9, 7], "step": 121, "ordinal_position": 122}, {"identifier": "I03", "position": [8, 7], "step": 122, "ordinal_position": 123}, {"identifier": "I40", "position": [7, 7], "step": 123, "ordinal_position": 124}, {"identifier": "V30", "position": [7, 8], "step": 124, "ordinal_position": 125}, {"identifier": "D27", "position": [7, 9], "step": 125, "ordinal_position": 126}, {"identifier": "E35", "position": [8, 9], "step": 126, "ordinal_position": 127}, {"identifier": "L01", "position": [9, 9], "step": 127, "ordinal_position": 128}, {"identifier": "G99", "position": [9, 8], "step": 128, "ordinal_position": 129}, {"identifier": "C34", "position": [9, 7], "step": 129, "ordinal_position": 130}, {"identifier": "I03", "position": [8, 7], "step": 130, "ordinal_position": 131}, {"identifier": "I40", "position": [7, 7], "step": 131, "ordinal_position": 132}, {"identifier": "V30", "position": [7, 8], "step": 132, "ordinal_position": 133}, {"identifier": "D27", "position": [7, 9], "step": 133, "ordinal_position": 134}, {"identifier": "E35", "position": [8, 9], "step": 134, "ordinal_position": 135}, {"identifier": "L01", "position": [9, 9], "step": 135, "ordinal_position": 136}, {"identifier": "G99", "position": [9, 8], "step": 136, "ordinal_position": 137}, {"identifier": "C34", "position": [9, 7], "step": 137, "ordinal_position": 138}, {"identifier": "I03", "position": [8, 7], "step": 138, "ordinal_position": 139}, {"identifier": "I40", "position": [7, 7], "step": 139, "ordinal_position": 140}, {"identifier": "V30", "position": [7, 8], "step": 140, "ordinal_position": 141}, {"identifier": "D27", "position": [7, 9], "step": 141, "ordinal_position": 142}, {"identifier": "E35", "position": [8, 9], "step": 142, "ordinal_position": 143}, {"identifier": "L01", "position": [9, 9], "step": 143, "ordinal_position": 144}, {"identifier": "G99", "position": [9, 8], "step": 144, "ordinal_position": 145}, {"identifier": "C34", "position": [9, 7], "step": 145, "ordinal_position": 146}, {"identifier": "I03", "position": [8, 7], "step": 146, "ordinal_position": 147}, {"identifier": "I40", "position": [7, 7], "step": 147, "ordinal_position": 148}, {"identifier": "V30", "position": [7, 8], "step": 148, "ordinal_position": 149}, {"identifier": "D27", "position": [7, 9], "step": 149, "ordinal_position": 150}, {"identifier": "E35", "position": [8, 9], "step": 150, "ordinal_position": 151}, {"identifier": "L01", "position": [9, 9], "step": 151, "ordinal_position": 152}, {"identifier": "G99", "position": [9, 8], "step": 152, "ordinal_position": 153}, {"identifier": "C34", "position": [9, 7], "step": 153, "ordinal_position": 154}, {"identifier": "I03", "position": [8, 7], "step": 154, "ordinal_position": 155}, {"identifier": "I40", "position": [7, 7], "step": 155, "ordinal_position": 156}, {"identifier": "V30", "position": [7, 8], "step": 156, "ordinal_position": 157}, {"identifier": "D27", "position": [7, 9], "step": 157, "ordinal_position": 158}, {"identifier": "E35", "position": [8, 9], "step": 158, "ordinal_position": 159}, {"identifier": "L01", "position": [9, 9], "step": 159, "ordinal_position": 160}, {"identifier": "G99", "position": [9, 8], "step": 160, "ordinal_position": 161}, {"identifier": "C34", "position": [9, 7], "step": 161, "ordinal_position": 162}, {"identifier": "I03", "position": [8, 7], "step": 162, "ordinal_position": 163}, {"identifier": "I40", "position": [7, 7], "step": 163, "ordinal_position": 164}, {"identifier": "V30", "position": [7, 8], "step": 164, "ordinal_position": 165}, {"identifier": "D27", "position": [7, 9], "step": 165, "ordinal_position": 166}, {"identifier": "E35", "position": [8, 9], "step": 166, "ordinal_position": 167}, {"identifier": "L01", "position": [9, 9], "step": 167, "ordinal_position": 168}, {"identifier": "G99", "position": [9, 8], "step": 168, "ordinal_position": 169}, {"identifier": "C34", "position": [9, 7], "step": 169, "ordinal_position": 170}, {"identifier": "I03", "position": [8, 7], "step": 170, "ordinal_position": 171}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 171, "direction": "left", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_008.json"}} {"qa_id": "c49017f9aa3546c3a5c923db0b78fea3", "image_id": "L3-MazeLoop-test_21x21_008", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S83, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 169th position in this traversal?", "start_object_id": "S83", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [169], "ordinal_strings": ["169th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "N09", "traversal_path": [{"identifier": "S83", "position": [9, 5], "step": 0, "ordinal_position": 1}, {"identifier": "F63", "position": [9, 4], "step": 1, "ordinal_position": 2}, {"identifier": "M00", "position": [9, 3], "step": 2, "ordinal_position": 3}, {"identifier": "O57", "position": [8, 3], "step": 3, "ordinal_position": 4}, {"identifier": "V56", "position": [7, 3], "step": 4, "ordinal_position": 5}, {"identifier": "C66", "position": [6, 3], "step": 5, "ordinal_position": 6}, {"identifier": "L34", "position": [5, 3], "step": 6, "ordinal_position": 7}, {"identifier": "P00", "position": [5, 2], "step": 7, "ordinal_position": 8}, {"identifier": "B51", "position": [5, 1], "step": 8, "ordinal_position": 9}, {"identifier": "G09", "position": [6, 1], "step": 9, "ordinal_position": 10}, {"identifier": "B31", "position": [7, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Q26", "position": [8, 1], "step": 11, "ordinal_position": 12}, {"identifier": "S38", "position": [9, 1], "step": 12, "ordinal_position": 13}, {"identifier": "A90", "position": [10, 1], "step": 13, "ordinal_position": 14}, {"identifier": "L76", "position": [11, 1], "step": 14, "ordinal_position": 15}, {"identifier": "H83", "position": [12, 1], "step": 15, "ordinal_position": 16}, {"identifier": "U57", "position": [13, 1], "step": 16, "ordinal_position": 17}, {"identifier": "B84", "position": [14, 1], "step": 17, "ordinal_position": 18}, {"identifier": "D44", "position": [15, 1], "step": 18, "ordinal_position": 19}, {"identifier": "T49", "position": [16, 1], "step": 19, "ordinal_position": 20}, {"identifier": "K06", "position": [17, 1], "step": 20, "ordinal_position": 21}, {"identifier": "U96", "position": [18, 1], "step": 21, "ordinal_position": 22}, {"identifier": "L56", "position": [19, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Z89", "position": [19, 2], "step": 23, "ordinal_position": 24}, {"identifier": "H27", "position": [19, 3], "step": 24, "ordinal_position": 25}, {"identifier": "E08", "position": [19, 4], "step": 25, "ordinal_position": 26}, {"identifier": "M64", "position": [19, 5], "step": 26, "ordinal_position": 27}, {"identifier": "P07", "position": [19, 6], "step": 27, "ordinal_position": 28}, {"identifier": "E54", "position": [19, 7], "step": 28, "ordinal_position": 29}, {"identifier": "W91", "position": [18, 7], "step": 29, "ordinal_position": 30}, {"identifier": "L22", "position": [17, 7], "step": 30, "ordinal_position": 31}, {"identifier": "X70", "position": [17, 6], "step": 31, "ordinal_position": 32}, {"identifier": "N09", "position": [17, 5], "step": 32, "ordinal_position": 33}, {"identifier": "B43", "position": [18, 5], "step": 33, "ordinal_position": 34}, {"identifier": "M64", "position": [19, 5], "step": 34, "ordinal_position": 35}, {"identifier": "P07", "position": [19, 6], "step": 35, "ordinal_position": 36}, {"identifier": "E54", "position": [19, 7], "step": 36, "ordinal_position": 37}, {"identifier": "W91", "position": [18, 7], "step": 37, "ordinal_position": 38}, {"identifier": "L22", "position": [17, 7], "step": 38, "ordinal_position": 39}, {"identifier": "X70", "position": [17, 6], "step": 39, "ordinal_position": 40}, {"identifier": "N09", "position": [17, 5], "step": 40, "ordinal_position": 41}, {"identifier": "B43", "position": [18, 5], "step": 41, "ordinal_position": 42}, {"identifier": "M64", "position": [19, 5], "step": 42, "ordinal_position": 43}, {"identifier": "P07", "position": [19, 6], "step": 43, "ordinal_position": 44}, {"identifier": "E54", "position": [19, 7], "step": 44, "ordinal_position": 45}, {"identifier": "W91", "position": [18, 7], "step": 45, "ordinal_position": 46}, {"identifier": "L22", "position": [17, 7], "step": 46, "ordinal_position": 47}, {"identifier": "X70", "position": [17, 6], "step": 47, "ordinal_position": 48}, {"identifier": "N09", "position": [17, 5], "step": 48, "ordinal_position": 49}, {"identifier": "B43", "position": [18, 5], "step": 49, "ordinal_position": 50}, {"identifier": "M64", "position": [19, 5], "step": 50, "ordinal_position": 51}, {"identifier": "P07", "position": [19, 6], "step": 51, "ordinal_position": 52}, {"identifier": "E54", "position": [19, 7], "step": 52, "ordinal_position": 53}, {"identifier": "W91", "position": [18, 7], "step": 53, "ordinal_position": 54}, {"identifier": "L22", "position": [17, 7], "step": 54, "ordinal_position": 55}, {"identifier": "X70", "position": [17, 6], "step": 55, "ordinal_position": 56}, {"identifier": "N09", "position": [17, 5], "step": 56, "ordinal_position": 57}, {"identifier": "B43", "position": [18, 5], "step": 57, "ordinal_position": 58}, {"identifier": "M64", "position": [19, 5], "step": 58, "ordinal_position": 59}, {"identifier": "P07", "position": [19, 6], "step": 59, "ordinal_position": 60}, {"identifier": "E54", "position": [19, 7], "step": 60, "ordinal_position": 61}, {"identifier": "W91", "position": [18, 7], "step": 61, "ordinal_position": 62}, {"identifier": "L22", "position": [17, 7], "step": 62, "ordinal_position": 63}, {"identifier": "X70", "position": [17, 6], "step": 63, "ordinal_position": 64}, {"identifier": "N09", "position": [17, 5], "step": 64, "ordinal_position": 65}, {"identifier": "B43", "position": [18, 5], "step": 65, "ordinal_position": 66}, {"identifier": "M64", "position": [19, 5], "step": 66, "ordinal_position": 67}, {"identifier": "P07", "position": [19, 6], "step": 67, "ordinal_position": 68}, {"identifier": "E54", "position": [19, 7], "step": 68, "ordinal_position": 69}, {"identifier": "W91", "position": [18, 7], "step": 69, "ordinal_position": 70}, {"identifier": "L22", "position": [17, 7], "step": 70, "ordinal_position": 71}, {"identifier": "X70", "position": [17, 6], "step": 71, "ordinal_position": 72}, {"identifier": "N09", "position": [17, 5], "step": 72, "ordinal_position": 73}, {"identifier": "B43", "position": [18, 5], "step": 73, "ordinal_position": 74}, {"identifier": "M64", "position": [19, 5], "step": 74, "ordinal_position": 75}, {"identifier": "P07", "position": [19, 6], "step": 75, "ordinal_position": 76}, {"identifier": "E54", "position": [19, 7], "step": 76, "ordinal_position": 77}, {"identifier": "W91", "position": [18, 7], "step": 77, "ordinal_position": 78}, {"identifier": "L22", "position": [17, 7], "step": 78, "ordinal_position": 79}, {"identifier": "X70", "position": [17, 6], "step": 79, "ordinal_position": 80}, {"identifier": "N09", "position": [17, 5], "step": 80, "ordinal_position": 81}, {"identifier": "B43", "position": [18, 5], "step": 81, "ordinal_position": 82}, {"identifier": "M64", "position": [19, 5], "step": 82, "ordinal_position": 83}, {"identifier": "P07", "position": [19, 6], "step": 83, "ordinal_position": 84}, {"identifier": "E54", "position": [19, 7], "step": 84, "ordinal_position": 85}, {"identifier": "W91", "position": [18, 7], "step": 85, "ordinal_position": 86}, {"identifier": "L22", "position": [17, 7], "step": 86, "ordinal_position": 87}, {"identifier": "X70", "position": [17, 6], "step": 87, "ordinal_position": 88}, {"identifier": "N09", "position": [17, 5], "step": 88, "ordinal_position": 89}, {"identifier": "B43", "position": [18, 5], "step": 89, "ordinal_position": 90}, {"identifier": "M64", "position": [19, 5], "step": 90, "ordinal_position": 91}, {"identifier": "P07", "position": [19, 6], "step": 91, "ordinal_position": 92}, {"identifier": "E54", "position": [19, 7], "step": 92, "ordinal_position": 93}, {"identifier": "W91", "position": [18, 7], "step": 93, "ordinal_position": 94}, {"identifier": "L22", "position": [17, 7], "step": 94, "ordinal_position": 95}, {"identifier": "X70", "position": [17, 6], "step": 95, "ordinal_position": 96}, {"identifier": "N09", "position": [17, 5], "step": 96, "ordinal_position": 97}, {"identifier": "B43", "position": [18, 5], "step": 97, "ordinal_position": 98}, {"identifier": "M64", "position": [19, 5], "step": 98, "ordinal_position": 99}, {"identifier": "P07", "position": [19, 6], "step": 99, "ordinal_position": 100}, {"identifier": "E54", "position": [19, 7], "step": 100, "ordinal_position": 101}, {"identifier": "W91", "position": [18, 7], "step": 101, "ordinal_position": 102}, {"identifier": "L22", "position": [17, 7], "step": 102, "ordinal_position": 103}, {"identifier": "X70", "position": [17, 6], "step": 103, "ordinal_position": 104}, {"identifier": "N09", "position": [17, 5], "step": 104, "ordinal_position": 105}, {"identifier": "B43", "position": [18, 5], "step": 105, "ordinal_position": 106}, {"identifier": "M64", "position": [19, 5], "step": 106, "ordinal_position": 107}, {"identifier": "P07", "position": [19, 6], "step": 107, "ordinal_position": 108}, {"identifier": "E54", "position": [19, 7], "step": 108, "ordinal_position": 109}, {"identifier": "W91", "position": [18, 7], "step": 109, "ordinal_position": 110}, {"identifier": "L22", "position": [17, 7], "step": 110, "ordinal_position": 111}, {"identifier": "X70", "position": [17, 6], "step": 111, "ordinal_position": 112}, {"identifier": "N09", "position": [17, 5], "step": 112, "ordinal_position": 113}, {"identifier": "B43", "position": [18, 5], "step": 113, "ordinal_position": 114}, {"identifier": "M64", "position": [19, 5], "step": 114, "ordinal_position": 115}, {"identifier": "P07", "position": [19, 6], "step": 115, "ordinal_position": 116}, {"identifier": "E54", "position": [19, 7], "step": 116, "ordinal_position": 117}, {"identifier": "W91", "position": [18, 7], "step": 117, "ordinal_position": 118}, {"identifier": "L22", "position": [17, 7], "step": 118, "ordinal_position": 119}, {"identifier": "X70", "position": [17, 6], "step": 119, "ordinal_position": 120}, {"identifier": "N09", "position": [17, 5], "step": 120, "ordinal_position": 121}, {"identifier": "B43", "position": [18, 5], "step": 121, "ordinal_position": 122}, {"identifier": "M64", "position": [19, 5], "step": 122, "ordinal_position": 123}, {"identifier": "P07", "position": [19, 6], "step": 123, "ordinal_position": 124}, {"identifier": "E54", "position": [19, 7], "step": 124, "ordinal_position": 125}, {"identifier": "W91", "position": [18, 7], "step": 125, "ordinal_position": 126}, {"identifier": "L22", "position": [17, 7], "step": 126, "ordinal_position": 127}, {"identifier": "X70", "position": [17, 6], "step": 127, "ordinal_position": 128}, {"identifier": "N09", "position": [17, 5], "step": 128, "ordinal_position": 129}, {"identifier": "B43", "position": [18, 5], "step": 129, "ordinal_position": 130}, {"identifier": "M64", "position": [19, 5], "step": 130, "ordinal_position": 131}, {"identifier": "P07", "position": [19, 6], "step": 131, "ordinal_position": 132}, {"identifier": "E54", "position": [19, 7], "step": 132, "ordinal_position": 133}, {"identifier": "W91", "position": [18, 7], "step": 133, "ordinal_position": 134}, {"identifier": "L22", "position": [17, 7], "step": 134, "ordinal_position": 135}, {"identifier": "X70", "position": [17, 6], "step": 135, "ordinal_position": 136}, {"identifier": "N09", "position": [17, 5], "step": 136, "ordinal_position": 137}, {"identifier": "B43", "position": [18, 5], "step": 137, "ordinal_position": 138}, {"identifier": "M64", "position": [19, 5], "step": 138, "ordinal_position": 139}, {"identifier": "P07", "position": [19, 6], "step": 139, "ordinal_position": 140}, {"identifier": "E54", "position": [19, 7], "step": 140, "ordinal_position": 141}, {"identifier": "W91", "position": [18, 7], "step": 141, "ordinal_position": 142}, {"identifier": "L22", "position": [17, 7], "step": 142, "ordinal_position": 143}, {"identifier": "X70", "position": [17, 6], "step": 143, "ordinal_position": 144}, {"identifier": "N09", "position": [17, 5], "step": 144, "ordinal_position": 145}, {"identifier": "B43", "position": [18, 5], "step": 145, "ordinal_position": 146}, {"identifier": "M64", "position": [19, 5], "step": 146, "ordinal_position": 147}, {"identifier": "P07", "position": [19, 6], "step": 147, "ordinal_position": 148}, {"identifier": "E54", "position": [19, 7], "step": 148, "ordinal_position": 149}, {"identifier": "W91", "position": [18, 7], "step": 149, "ordinal_position": 150}, {"identifier": "L22", "position": [17, 7], "step": 150, "ordinal_position": 151}, {"identifier": "X70", "position": [17, 6], "step": 151, "ordinal_position": 152}, {"identifier": "N09", "position": [17, 5], "step": 152, "ordinal_position": 153}, {"identifier": "B43", "position": [18, 5], "step": 153, "ordinal_position": 154}, {"identifier": "M64", "position": [19, 5], "step": 154, "ordinal_position": 155}, {"identifier": "P07", "position": [19, 6], "step": 155, "ordinal_position": 156}, {"identifier": "E54", "position": [19, 7], "step": 156, "ordinal_position": 157}, {"identifier": "W91", "position": [18, 7], "step": 157, "ordinal_position": 158}, {"identifier": "L22", "position": [17, 7], "step": 158, "ordinal_position": 159}, {"identifier": "X70", "position": [17, 6], "step": 159, "ordinal_position": 160}, {"identifier": "N09", "position": [17, 5], "step": 160, "ordinal_position": 161}, {"identifier": "B43", "position": [18, 5], "step": 161, "ordinal_position": 162}, {"identifier": "M64", "position": [19, 5], "step": 162, "ordinal_position": 163}, {"identifier": "P07", "position": [19, 6], "step": 163, "ordinal_position": 164}, {"identifier": "E54", "position": [19, 7], "step": 164, "ordinal_position": 165}, {"identifier": "W91", "position": [18, 7], "step": 165, "ordinal_position": 166}, {"identifier": "L22", "position": [17, 7], "step": 166, "ordinal_position": 167}, {"identifier": "X70", "position": [17, 6], "step": 167, "ordinal_position": 168}, {"identifier": "N09", "position": [17, 5], "step": 168, "ordinal_position": 169}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 169, "direction": "up", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_008.json"}} {"qa_id": "d56bdb6110ab4d53ba3d3f7b8fbb39af", "image_id": "L3-MazeLoop-test_21x21_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E45, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "E45", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "K37", "traversal_path": [{"identifier": "E45", "position": [12, 17], "step": 0, "ordinal_position": 1}, {"identifier": "N25", "position": [13, 17], "step": 1, "ordinal_position": 2}, {"identifier": "D30", "position": [13, 18], "step": 2, "ordinal_position": 3}, {"identifier": "H87", "position": [13, 19], "step": 3, "ordinal_position": 4}, {"identifier": "U07", "position": [14, 19], "step": 4, "ordinal_position": 5}, {"identifier": "M32", "position": [15, 19], "step": 5, "ordinal_position": 6}, {"identifier": "N31", "position": [16, 19], "step": 6, "ordinal_position": 7}, {"identifier": "K37", "position": [17, 19], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 8, "direction": "right", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_009.json"}} {"qa_id": "0f4a05a8890d40bcb4593a7bb2d05f0e", "image_id": "L3-MazeLoop-test_21x21_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P28, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 12th position in this traversal?", "start_object_id": "P28", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [12], "ordinal_strings": ["12th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "F41", "traversal_path": [{"identifier": "P28", "position": [9, 17], "step": 0, "ordinal_position": 1}, {"identifier": "R61", "position": [9, 18], "step": 1, "ordinal_position": 2}, {"identifier": "M39", "position": [9, 19], "step": 2, "ordinal_position": 3}, {"identifier": "T14", "position": [8, 19], "step": 3, "ordinal_position": 4}, {"identifier": "W90", "position": [7, 19], "step": 4, "ordinal_position": 5}, {"identifier": "P13", "position": [6, 19], "step": 5, "ordinal_position": 6}, {"identifier": "P20", "position": [5, 19], "step": 6, "ordinal_position": 7}, {"identifier": "R84", "position": [5, 18], "step": 7, "ordinal_position": 8}, {"identifier": "J16", "position": [5, 17], "step": 8, "ordinal_position": 9}, {"identifier": "J47", "position": [6, 17], "step": 9, "ordinal_position": 10}, {"identifier": "W40", "position": [7, 17], "step": 10, "ordinal_position": 11}, {"identifier": "F41", "position": [7, 16], "step": 11, "ordinal_position": 12}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 12, "direction": "down", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_009.json"}} {"qa_id": "181725ae8748428c86e0a8efb9bf63c8", "image_id": "L3-MazeLoop-test_21x21_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D21, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 15th position in this traversal?", "start_object_id": "D21", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [15], "ordinal_strings": ["15th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "J05", "traversal_path": [{"identifier": "D21", "position": [17, 17], "step": 0, "ordinal_position": 1}, {"identifier": "G64", "position": [18, 17], "step": 1, "ordinal_position": 2}, {"identifier": "C68", "position": [19, 17], "step": 2, "ordinal_position": 3}, {"identifier": "M90", "position": [19, 18], "step": 3, "ordinal_position": 4}, {"identifier": "L65", "position": [19, 19], "step": 4, "ordinal_position": 5}, {"identifier": "U31", "position": [18, 19], "step": 5, "ordinal_position": 6}, {"identifier": "K37", "position": [17, 19], "step": 6, "ordinal_position": 7}, {"identifier": "N31", "position": [16, 19], "step": 7, "ordinal_position": 8}, {"identifier": "M32", "position": [15, 19], "step": 8, "ordinal_position": 9}, {"identifier": "U07", "position": [14, 19], "step": 9, "ordinal_position": 10}, {"identifier": "H87", "position": [13, 19], "step": 10, "ordinal_position": 11}, {"identifier": "D30", "position": [13, 18], "step": 11, "ordinal_position": 12}, {"identifier": "N25", "position": [13, 17], "step": 12, "ordinal_position": 13}, {"identifier": "Q65", "position": [13, 16], "step": 13, "ordinal_position": 14}, {"identifier": "J05", "position": [13, 15], "step": 14, "ordinal_position": 15}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 15, "direction": "right", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_009.json"}} {"qa_id": "56e2d2f07bee41059beb9ae8772c1299", "image_id": "L3-MazeLoop-test_21x21_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C47, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 17th position in this traversal?", "start_object_id": "C47", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [17], "ordinal_strings": ["17th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Y55", "traversal_path": [{"identifier": "C47", "position": [6, 13], "step": 0, "ordinal_position": 1}, {"identifier": "J97", "position": [7, 13], "step": 1, "ordinal_position": 2}, {"identifier": "X97", "position": [8, 13], "step": 2, "ordinal_position": 3}, {"identifier": "J10", "position": [9, 13], "step": 3, "ordinal_position": 4}, {"identifier": "R99", "position": [9, 12], "step": 4, "ordinal_position": 5}, {"identifier": "W00", "position": [9, 11], "step": 5, "ordinal_position": 6}, {"identifier": "Y45", "position": [8, 11], "step": 6, "ordinal_position": 7}, {"identifier": "O28", "position": [7, 11], "step": 7, "ordinal_position": 8}, {"identifier": "B22", "position": [7, 10], "step": 8, "ordinal_position": 9}, {"identifier": "B17", "position": [7, 9], "step": 9, "ordinal_position": 10}, {"identifier": "J95", "position": [7, 8], "step": 10, "ordinal_position": 11}, {"identifier": "N49", "position": [7, 7], "step": 11, "ordinal_position": 12}, {"identifier": "H08", "position": [7, 6], "step": 12, "ordinal_position": 13}, {"identifier": "L27", "position": [7, 5], "step": 13, "ordinal_position": 14}, {"identifier": "P81", "position": [6, 5], "step": 14, "ordinal_position": 15}, {"identifier": "A44", "position": [5, 5], "step": 15, "ordinal_position": 16}, {"identifier": "Y55", "position": [5, 6], "step": 16, "ordinal_position": 17}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 17, "direction": "right", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_009.json"}} {"qa_id": "f50600d8fce343d5839c7e6ab3a400fe", "image_id": "L3-MazeLoop-test_21x21_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z61, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "Z61", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "C36", "traversal_path": [{"identifier": "Z61", "position": [2, 15], "step": 0, "ordinal_position": 1}, {"identifier": "N67", "position": [3, 15], "step": 1, "ordinal_position": 2}, {"identifier": "C36", "position": [3, 16], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 3, "direction": "right", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_009.json"}} {"qa_id": "e2f2424f14184f7981fd1b5d9217200d", "image_id": "L3-MazeLoop-test_21x21_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T58, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 41st position in this traversal?", "start_object_id": "T58", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [41], "ordinal_strings": ["41st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "F41", "traversal_path": [{"identifier": "T58", "position": [1, 14], "step": 0, "ordinal_position": 1}, {"identifier": "V85", "position": [1, 13], "step": 1, "ordinal_position": 2}, {"identifier": "G08", "position": [1, 12], "step": 2, "ordinal_position": 3}, {"identifier": "W19", "position": [1, 11], "step": 3, "ordinal_position": 4}, {"identifier": "M64", "position": [1, 10], "step": 4, "ordinal_position": 5}, {"identifier": "H63", "position": [1, 9], "step": 5, "ordinal_position": 6}, {"identifier": "C15", "position": [2, 9], "step": 6, "ordinal_position": 7}, {"identifier": "M30", "position": [3, 9], "step": 7, "ordinal_position": 8}, {"identifier": "J67", "position": [4, 9], "step": 8, "ordinal_position": 9}, {"identifier": "I31", "position": [5, 9], "step": 9, "ordinal_position": 10}, {"identifier": "B92", "position": [5, 8], "step": 10, "ordinal_position": 11}, {"identifier": "Y69", "position": [5, 7], "step": 11, "ordinal_position": 12}, {"identifier": "Y55", "position": [5, 6], "step": 12, "ordinal_position": 13}, {"identifier": "A44", "position": [5, 5], "step": 13, "ordinal_position": 14}, {"identifier": "P81", "position": [6, 5], "step": 14, "ordinal_position": 15}, {"identifier": "L27", "position": [7, 5], "step": 15, "ordinal_position": 16}, {"identifier": "H08", "position": [7, 6], "step": 16, "ordinal_position": 17}, {"identifier": "N49", "position": [7, 7], "step": 17, "ordinal_position": 18}, {"identifier": "J95", "position": [7, 8], "step": 18, "ordinal_position": 19}, {"identifier": "B17", "position": [7, 9], "step": 19, "ordinal_position": 20}, {"identifier": "B22", "position": [7, 10], "step": 20, "ordinal_position": 21}, {"identifier": "O28", "position": [7, 11], "step": 21, "ordinal_position": 22}, {"identifier": "Y45", "position": [8, 11], "step": 22, "ordinal_position": 23}, {"identifier": "W00", "position": [9, 11], "step": 23, "ordinal_position": 24}, {"identifier": "R99", "position": [9, 12], "step": 24, "ordinal_position": 25}, {"identifier": "J10", "position": [9, 13], "step": 25, "ordinal_position": 26}, {"identifier": "D32", "position": [9, 14], "step": 26, "ordinal_position": 27}, {"identifier": "G10", "position": [9, 15], "step": 27, "ordinal_position": 28}, {"identifier": "W34", "position": [9, 16], "step": 28, "ordinal_position": 29}, {"identifier": "P28", "position": [9, 17], "step": 29, "ordinal_position": 30}, {"identifier": "R61", "position": [9, 18], "step": 30, "ordinal_position": 31}, {"identifier": "M39", "position": [9, 19], "step": 31, "ordinal_position": 32}, {"identifier": "T14", "position": [8, 19], "step": 32, "ordinal_position": 33}, {"identifier": "W90", "position": [7, 19], "step": 33, "ordinal_position": 34}, {"identifier": "P13", "position": [6, 19], "step": 34, "ordinal_position": 35}, {"identifier": "P20", "position": [5, 19], "step": 35, "ordinal_position": 36}, {"identifier": "R84", "position": [5, 18], "step": 36, "ordinal_position": 37}, {"identifier": "J16", "position": [5, 17], "step": 37, "ordinal_position": 38}, {"identifier": "J47", "position": [6, 17], "step": 38, "ordinal_position": 39}, {"identifier": "W40", "position": [7, 17], "step": 39, "ordinal_position": 40}, {"identifier": "F41", "position": [7, 16], "step": 40, "ordinal_position": 41}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 41, "direction": "up", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_009.json"}} {"qa_id": "cf5c403a14734b7c96f9207eab1c7506", "image_id": "L3-MazeLoop-test_21x21_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z79, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 25th position in this traversal?", "start_object_id": "Z79", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [25], "ordinal_strings": ["25th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "E53", "traversal_path": [{"identifier": "Z79", "position": [14, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Y84", "position": [15, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Z00", "position": [16, 1], "step": 2, "ordinal_position": 3}, {"identifier": "K50", "position": [17, 1], "step": 3, "ordinal_position": 4}, {"identifier": "O93", "position": [18, 1], "step": 4, "ordinal_position": 5}, {"identifier": "M29", "position": [19, 1], "step": 5, "ordinal_position": 6}, {"identifier": "D76", "position": [19, 2], "step": 6, "ordinal_position": 7}, {"identifier": "U13", "position": [19, 3], "step": 7, "ordinal_position": 8}, {"identifier": "J03", "position": [18, 3], "step": 8, "ordinal_position": 9}, {"identifier": "Z58", "position": [17, 3], "step": 9, "ordinal_position": 10}, {"identifier": "Y79", "position": [17, 4], "step": 10, "ordinal_position": 11}, {"identifier": "S99", "position": [17, 5], "step": 11, "ordinal_position": 12}, {"identifier": "D08", "position": [18, 5], "step": 12, "ordinal_position": 13}, {"identifier": "N00", "position": [19, 5], "step": 13, "ordinal_position": 14}, {"identifier": "A53", "position": [19, 6], "step": 14, "ordinal_position": 15}, {"identifier": "K74", "position": [19, 7], "step": 15, "ordinal_position": 16}, {"identifier": "I40", "position": [19, 8], "step": 16, "ordinal_position": 17}, {"identifier": "Q47", "position": [19, 9], "step": 17, "ordinal_position": 18}, {"identifier": "G98", "position": [19, 10], "step": 18, "ordinal_position": 19}, {"identifier": "W47", "position": [19, 11], "step": 19, "ordinal_position": 20}, {"identifier": "Q51", "position": [19, 12], "step": 20, "ordinal_position": 21}, {"identifier": "A29", "position": [19, 13], "step": 21, "ordinal_position": 22}, {"identifier": "H64", "position": [19, 14], "step": 22, "ordinal_position": 23}, {"identifier": "R08", "position": [19, 15], "step": 23, "ordinal_position": 24}, {"identifier": "E53", "position": [18, 15], "step": 24, "ordinal_position": 25}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 25, "direction": "right", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_009.json"}} {"qa_id": "608cf0521205449e916b3c63df625c53", "image_id": "L3-MazeLoop-test_21x21_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O47, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 80th position in this traversal?", "start_object_id": "O47", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [80], "ordinal_strings": ["80th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "I31", "traversal_path": [{"identifier": "O47", "position": [12, 13], "step": 0, "ordinal_position": 1}, {"identifier": "X50", "position": [11, 13], "step": 1, "ordinal_position": 2}, {"identifier": "X07", "position": [11, 14], "step": 2, "ordinal_position": 3}, {"identifier": "V05", "position": [11, 15], "step": 3, "ordinal_position": 4}, {"identifier": "A35", "position": [12, 15], "step": 4, "ordinal_position": 5}, {"identifier": "J05", "position": [13, 15], "step": 5, "ordinal_position": 6}, {"identifier": "Q65", "position": [13, 16], "step": 6, "ordinal_position": 7}, {"identifier": "N25", "position": [13, 17], "step": 7, "ordinal_position": 8}, {"identifier": "D30", "position": [13, 18], "step": 8, "ordinal_position": 9}, {"identifier": "H87", "position": [13, 19], "step": 9, "ordinal_position": 10}, {"identifier": "U07", "position": [14, 19], "step": 10, "ordinal_position": 11}, {"identifier": "M32", "position": [15, 19], "step": 11, "ordinal_position": 12}, {"identifier": "N31", "position": [16, 19], "step": 12, "ordinal_position": 13}, {"identifier": "K37", "position": [17, 19], "step": 13, "ordinal_position": 14}, {"identifier": "U31", "position": [18, 19], "step": 14, "ordinal_position": 15}, {"identifier": "L65", "position": [19, 19], "step": 15, "ordinal_position": 16}, {"identifier": "M90", "position": [19, 18], "step": 16, "ordinal_position": 17}, {"identifier": "C68", "position": [19, 17], "step": 17, "ordinal_position": 18}, {"identifier": "G64", "position": [18, 17], "step": 18, "ordinal_position": 19}, {"identifier": "D21", "position": [17, 17], "step": 19, "ordinal_position": 20}, {"identifier": "T47", "position": [16, 17], "step": 20, "ordinal_position": 21}, {"identifier": "A78", "position": [15, 17], "step": 21, "ordinal_position": 22}, {"identifier": "T40", "position": [15, 16], "step": 22, "ordinal_position": 23}, {"identifier": "F30", "position": [15, 15], "step": 23, "ordinal_position": 24}, {"identifier": "B19", "position": [16, 15], "step": 24, "ordinal_position": 25}, {"identifier": "N17", "position": [17, 15], "step": 25, "ordinal_position": 26}, {"identifier": "E53", "position": [18, 15], "step": 26, "ordinal_position": 27}, {"identifier": "R08", "position": [19, 15], "step": 27, "ordinal_position": 28}, {"identifier": "H64", "position": [19, 14], "step": 28, "ordinal_position": 29}, {"identifier": "A29", "position": [19, 13], "step": 29, "ordinal_position": 30}, {"identifier": "Q51", "position": [19, 12], "step": 30, "ordinal_position": 31}, {"identifier": "W47", "position": [19, 11], "step": 31, "ordinal_position": 32}, {"identifier": "G98", "position": [19, 10], "step": 32, "ordinal_position": 33}, {"identifier": "Q47", "position": [19, 9], "step": 33, "ordinal_position": 34}, {"identifier": "I40", "position": [19, 8], "step": 34, "ordinal_position": 35}, {"identifier": "K74", "position": [19, 7], "step": 35, "ordinal_position": 36}, {"identifier": "A53", "position": [19, 6], "step": 36, "ordinal_position": 37}, {"identifier": "N00", "position": [19, 5], "step": 37, "ordinal_position": 38}, {"identifier": "D08", "position": [18, 5], "step": 38, "ordinal_position": 39}, {"identifier": "S99", "position": [17, 5], "step": 39, "ordinal_position": 40}, {"identifier": "Y79", "position": [17, 4], "step": 40, "ordinal_position": 41}, {"identifier": "Z58", "position": [17, 3], "step": 41, "ordinal_position": 42}, {"identifier": "J03", "position": [18, 3], "step": 42, "ordinal_position": 43}, {"identifier": "U13", "position": [19, 3], "step": 43, "ordinal_position": 44}, {"identifier": "D76", "position": [19, 2], "step": 44, "ordinal_position": 45}, {"identifier": "M29", "position": [19, 1], "step": 45, "ordinal_position": 46}, {"identifier": "O93", "position": [18, 1], "step": 46, "ordinal_position": 47}, {"identifier": "K50", "position": [17, 1], "step": 47, "ordinal_position": 48}, {"identifier": "Z00", "position": [16, 1], "step": 48, "ordinal_position": 49}, {"identifier": "Y84", "position": [15, 1], "step": 49, "ordinal_position": 50}, {"identifier": "Z79", "position": [14, 1], "step": 50, "ordinal_position": 51}, {"identifier": "P77", "position": [13, 1], "step": 51, "ordinal_position": 52}, {"identifier": "J31", "position": [12, 1], "step": 52, "ordinal_position": 53}, {"identifier": "E08", "position": [11, 1], "step": 53, "ordinal_position": 54}, {"identifier": "Y10", "position": [10, 1], "step": 54, "ordinal_position": 55}, {"identifier": "C65", "position": [9, 1], "step": 55, "ordinal_position": 56}, {"identifier": "L32", "position": [8, 1], "step": 56, "ordinal_position": 57}, {"identifier": "Z66", "position": [7, 1], "step": 57, "ordinal_position": 58}, {"identifier": "D86", "position": [6, 1], "step": 58, "ordinal_position": 59}, {"identifier": "H42", "position": [5, 1], "step": 59, "ordinal_position": 60}, {"identifier": "S97", "position": [5, 2], "step": 60, "ordinal_position": 61}, {"identifier": "H72", "position": [5, 3], "step": 61, "ordinal_position": 62}, {"identifier": "E35", "position": [4, 3], "step": 62, "ordinal_position": 63}, {"identifier": "W20", "position": [3, 3], "step": 63, "ordinal_position": 64}, {"identifier": "Z01", "position": [3, 2], "step": 64, "ordinal_position": 65}, {"identifier": "R06", "position": [3, 1], "step": 65, "ordinal_position": 66}, {"identifier": "C92", "position": [2, 1], "step": 66, "ordinal_position": 67}, {"identifier": "Q34", "position": [1, 1], "step": 67, "ordinal_position": 68}, {"identifier": "J46", "position": [1, 2], "step": 68, "ordinal_position": 69}, {"identifier": "C40", "position": [1, 3], "step": 69, "ordinal_position": 70}, {"identifier": "T26", "position": [1, 4], "step": 70, "ordinal_position": 71}, {"identifier": "F63", "position": [1, 5], "step": 71, "ordinal_position": 72}, {"identifier": "V58", "position": [1, 6], "step": 72, "ordinal_position": 73}, {"identifier": "P25", "position": [1, 7], "step": 73, "ordinal_position": 74}, {"identifier": "P90", "position": [2, 7], "step": 74, "ordinal_position": 75}, {"identifier": "B72", "position": [3, 7], "step": 75, "ordinal_position": 76}, {"identifier": "D46", "position": [4, 7], "step": 76, "ordinal_position": 77}, {"identifier": "Y69", "position": [5, 7], "step": 77, "ordinal_position": 78}, {"identifier": "B92", "position": [5, 8], "step": 78, "ordinal_position": 79}, {"identifier": "I31", "position": [5, 9], "step": 79, "ordinal_position": 80}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 80, "direction": "left", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_009.json"}} {"qa_id": "7722cfb819d44195a85a690c8f1ee92a", "image_id": "L3-MazeLoop-test_21x21_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q51, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 33rd position in this traversal?", "start_object_id": "Q51", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [33], "ordinal_strings": ["33rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "T74", "traversal_path": [{"identifier": "Q51", "position": [19, 12], "step": 0, "ordinal_position": 1}, {"identifier": "A29", "position": [19, 13], "step": 1, "ordinal_position": 2}, {"identifier": "H64", "position": [19, 14], "step": 2, "ordinal_position": 3}, {"identifier": "R08", "position": [19, 15], "step": 3, "ordinal_position": 4}, {"identifier": "E53", "position": [18, 15], "step": 4, "ordinal_position": 5}, {"identifier": "N17", "position": [17, 15], "step": 5, "ordinal_position": 6}, {"identifier": "B19", "position": [16, 15], "step": 6, "ordinal_position": 7}, {"identifier": "F30", "position": [15, 15], "step": 7, "ordinal_position": 8}, {"identifier": "T40", "position": [15, 16], "step": 8, "ordinal_position": 9}, {"identifier": "A78", "position": [15, 17], "step": 9, "ordinal_position": 10}, {"identifier": "T47", "position": [16, 17], "step": 10, "ordinal_position": 11}, {"identifier": "D21", "position": [17, 17], "step": 11, "ordinal_position": 12}, {"identifier": "G64", "position": [18, 17], "step": 12, "ordinal_position": 13}, {"identifier": "C68", "position": [19, 17], "step": 13, "ordinal_position": 14}, {"identifier": "M90", "position": [19, 18], "step": 14, "ordinal_position": 15}, {"identifier": "L65", "position": [19, 19], "step": 15, "ordinal_position": 16}, {"identifier": "U31", "position": [18, 19], "step": 16, "ordinal_position": 17}, {"identifier": "K37", "position": [17, 19], "step": 17, "ordinal_position": 18}, {"identifier": "N31", "position": [16, 19], "step": 18, "ordinal_position": 19}, {"identifier": "M32", "position": [15, 19], "step": 19, "ordinal_position": 20}, {"identifier": "U07", "position": [14, 19], "step": 20, "ordinal_position": 21}, {"identifier": "H87", "position": [13, 19], "step": 21, "ordinal_position": 22}, {"identifier": "D30", "position": [13, 18], "step": 22, "ordinal_position": 23}, {"identifier": "N25", "position": [13, 17], "step": 23, "ordinal_position": 24}, {"identifier": "Q65", "position": [13, 16], "step": 24, "ordinal_position": 25}, {"identifier": "J05", "position": [13, 15], "step": 25, "ordinal_position": 26}, {"identifier": "A35", "position": [12, 15], "step": 26, "ordinal_position": 27}, {"identifier": "V05", "position": [11, 15], "step": 27, "ordinal_position": 28}, {"identifier": "X07", "position": [11, 14], "step": 28, "ordinal_position": 29}, {"identifier": "X50", "position": [11, 13], "step": 29, "ordinal_position": 30}, {"identifier": "O47", "position": [12, 13], "step": 30, "ordinal_position": 31}, {"identifier": "B20", "position": [13, 13], "step": 31, "ordinal_position": 32}, {"identifier": "T74", "position": [14, 13], "step": 32, "ordinal_position": 33}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 33, "direction": "down", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_009.json"}} {"qa_id": "e6b29fc23b26428fa20bafc98533b64f", "image_id": "L3-MazeLoop-test_21x21_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P76, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 32nd position in this traversal?", "start_object_id": "P76", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [32], "ordinal_strings": ["32nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "X79", "traversal_path": [{"identifier": "P76", "position": [11, 18], "step": 0, "ordinal_position": 1}, {"identifier": "S67", "position": [11, 19], "step": 1, "ordinal_position": 2}, {"identifier": "E24", "position": [10, 19], "step": 2, "ordinal_position": 3}, {"identifier": "M39", "position": [9, 19], "step": 3, "ordinal_position": 4}, {"identifier": "T14", "position": [8, 19], "step": 4, "ordinal_position": 5}, {"identifier": "W90", "position": [7, 19], "step": 5, "ordinal_position": 6}, {"identifier": "P13", "position": [6, 19], "step": 6, "ordinal_position": 7}, {"identifier": "P20", "position": [5, 19], "step": 7, "ordinal_position": 8}, {"identifier": "R84", "position": [5, 18], "step": 8, "ordinal_position": 9}, {"identifier": "J16", "position": [5, 17], "step": 9, "ordinal_position": 10}, {"identifier": "J47", "position": [6, 17], "step": 10, "ordinal_position": 11}, {"identifier": "W40", "position": [7, 17], "step": 11, "ordinal_position": 12}, {"identifier": "F41", "position": [7, 16], "step": 12, "ordinal_position": 13}, {"identifier": "Z11", "position": [7, 15], "step": 13, "ordinal_position": 14}, {"identifier": "A13", "position": [6, 15], "step": 14, "ordinal_position": 15}, {"identifier": "X47", "position": [5, 15], "step": 15, "ordinal_position": 16}, {"identifier": "E22", "position": [5, 14], "step": 16, "ordinal_position": 17}, {"identifier": "B47", "position": [5, 13], "step": 17, "ordinal_position": 18}, {"identifier": "S91", "position": [5, 12], "step": 18, "ordinal_position": 19}, {"identifier": "A22", "position": [5, 11], "step": 19, "ordinal_position": 20}, {"identifier": "D40", "position": [4, 11], "step": 20, "ordinal_position": 21}, {"identifier": "A91", "position": [3, 11], "step": 21, "ordinal_position": 22}, {"identifier": "Y90", "position": [3, 12], "step": 22, "ordinal_position": 23}, {"identifier": "J18", "position": [3, 13], "step": 23, "ordinal_position": 24}, {"identifier": "D51", "position": [2, 13], "step": 24, "ordinal_position": 25}, {"identifier": "V85", "position": [1, 13], "step": 25, "ordinal_position": 26}, {"identifier": "T58", "position": [1, 14], "step": 26, "ordinal_position": 27}, {"identifier": "C82", "position": [1, 15], "step": 27, "ordinal_position": 28}, {"identifier": "Z61", "position": [2, 15], "step": 28, "ordinal_position": 29}, {"identifier": "N67", "position": [3, 15], "step": 29, "ordinal_position": 30}, {"identifier": "C36", "position": [3, 16], "step": 30, "ordinal_position": 31}, {"identifier": "X79", "position": [3, 17], "step": 31, "ordinal_position": 32}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 32, "direction": "down", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_009.json"}} {"qa_id": "bfc6c7a13138440ba102af87426031d2", "image_id": "L3-MazeLoop-test_21x21_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D46, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 139th position in this traversal?", "start_object_id": "D46", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [139], "ordinal_strings": ["139th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "C92", "traversal_path": [{"identifier": "D46", "position": [4, 7], "step": 0, "ordinal_position": 1}, {"identifier": "B72", "position": [3, 7], "step": 1, "ordinal_position": 2}, {"identifier": "P90", "position": [2, 7], "step": 2, "ordinal_position": 3}, {"identifier": "P25", "position": [1, 7], "step": 3, "ordinal_position": 4}, {"identifier": "V58", "position": [1, 6], "step": 4, "ordinal_position": 5}, {"identifier": "F63", "position": [1, 5], "step": 5, "ordinal_position": 6}, {"identifier": "T26", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "C40", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "J46", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "Q34", "position": [1, 1], "step": 9, "ordinal_position": 10}, {"identifier": "C92", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "R06", "position": [3, 1], "step": 11, "ordinal_position": 12}, {"identifier": "Z01", "position": [3, 2], "step": 12, "ordinal_position": 13}, {"identifier": "W20", "position": [3, 3], "step": 13, "ordinal_position": 14}, {"identifier": "I65", "position": [3, 4], "step": 14, "ordinal_position": 15}, {"identifier": "A96", "position": [3, 5], "step": 15, "ordinal_position": 16}, {"identifier": "V44", "position": [3, 6], "step": 16, "ordinal_position": 17}, {"identifier": "B72", "position": [3, 7], "step": 17, "ordinal_position": 18}, {"identifier": "P90", "position": [2, 7], "step": 18, "ordinal_position": 19}, {"identifier": "P25", "position": [1, 7], "step": 19, "ordinal_position": 20}, {"identifier": "V58", "position": [1, 6], "step": 20, "ordinal_position": 21}, {"identifier": "F63", "position": [1, 5], "step": 21, "ordinal_position": 22}, {"identifier": "T26", "position": [1, 4], "step": 22, "ordinal_position": 23}, {"identifier": "C40", "position": [1, 3], "step": 23, "ordinal_position": 24}, {"identifier": "J46", "position": [1, 2], "step": 24, "ordinal_position": 25}, {"identifier": "Q34", "position": [1, 1], "step": 25, "ordinal_position": 26}, {"identifier": "C92", "position": [2, 1], "step": 26, "ordinal_position": 27}, {"identifier": "R06", "position": [3, 1], "step": 27, "ordinal_position": 28}, {"identifier": "Z01", "position": [3, 2], "step": 28, "ordinal_position": 29}, {"identifier": "W20", "position": [3, 3], "step": 29, "ordinal_position": 30}, {"identifier": "I65", "position": [3, 4], "step": 30, "ordinal_position": 31}, {"identifier": "A96", "position": [3, 5], "step": 31, "ordinal_position": 32}, {"identifier": "V44", "position": [3, 6], "step": 32, "ordinal_position": 33}, {"identifier": "B72", "position": [3, 7], "step": 33, "ordinal_position": 34}, {"identifier": "P90", "position": [2, 7], "step": 34, "ordinal_position": 35}, {"identifier": "P25", "position": [1, 7], "step": 35, "ordinal_position": 36}, {"identifier": "V58", "position": [1, 6], "step": 36, "ordinal_position": 37}, {"identifier": "F63", "position": [1, 5], "step": 37, "ordinal_position": 38}, {"identifier": "T26", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "C40", "position": [1, 3], "step": 39, "ordinal_position": 40}, {"identifier": "J46", "position": [1, 2], "step": 40, "ordinal_position": 41}, {"identifier": "Q34", "position": [1, 1], "step": 41, "ordinal_position": 42}, {"identifier": "C92", "position": [2, 1], "step": 42, "ordinal_position": 43}, {"identifier": "R06", "position": [3, 1], "step": 43, "ordinal_position": 44}, {"identifier": "Z01", "position": [3, 2], "step": 44, "ordinal_position": 45}, {"identifier": "W20", "position": [3, 3], "step": 45, "ordinal_position": 46}, {"identifier": "I65", "position": [3, 4], "step": 46, "ordinal_position": 47}, {"identifier": "A96", "position": [3, 5], "step": 47, "ordinal_position": 48}, {"identifier": "V44", "position": [3, 6], "step": 48, "ordinal_position": 49}, {"identifier": "B72", "position": [3, 7], "step": 49, "ordinal_position": 50}, {"identifier": "P90", "position": [2, 7], "step": 50, "ordinal_position": 51}, {"identifier": "P25", "position": [1, 7], "step": 51, "ordinal_position": 52}, {"identifier": "V58", "position": [1, 6], "step": 52, "ordinal_position": 53}, {"identifier": "F63", "position": [1, 5], "step": 53, "ordinal_position": 54}, {"identifier": "T26", "position": [1, 4], "step": 54, "ordinal_position": 55}, {"identifier": "C40", "position": [1, 3], "step": 55, "ordinal_position": 56}, {"identifier": "J46", "position": [1, 2], "step": 56, "ordinal_position": 57}, {"identifier": "Q34", "position": [1, 1], "step": 57, "ordinal_position": 58}, {"identifier": "C92", "position": [2, 1], "step": 58, "ordinal_position": 59}, {"identifier": "R06", "position": [3, 1], "step": 59, "ordinal_position": 60}, {"identifier": "Z01", "position": [3, 2], "step": 60, "ordinal_position": 61}, {"identifier": "W20", "position": [3, 3], "step": 61, "ordinal_position": 62}, {"identifier": "I65", "position": [3, 4], "step": 62, "ordinal_position": 63}, {"identifier": "A96", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "V44", "position": [3, 6], "step": 64, "ordinal_position": 65}, {"identifier": "B72", "position": [3, 7], "step": 65, "ordinal_position": 66}, {"identifier": "P90", "position": [2, 7], "step": 66, "ordinal_position": 67}, {"identifier": "P25", "position": [1, 7], "step": 67, "ordinal_position": 68}, {"identifier": "V58", "position": [1, 6], "step": 68, "ordinal_position": 69}, {"identifier": "F63", "position": [1, 5], "step": 69, "ordinal_position": 70}, {"identifier": "T26", "position": [1, 4], "step": 70, "ordinal_position": 71}, {"identifier": "C40", "position": [1, 3], "step": 71, "ordinal_position": 72}, {"identifier": "J46", "position": [1, 2], "step": 72, "ordinal_position": 73}, {"identifier": "Q34", "position": [1, 1], "step": 73, "ordinal_position": 74}, {"identifier": "C92", "position": [2, 1], "step": 74, "ordinal_position": 75}, {"identifier": "R06", "position": [3, 1], "step": 75, "ordinal_position": 76}, {"identifier": "Z01", "position": [3, 2], "step": 76, "ordinal_position": 77}, {"identifier": "W20", "position": [3, 3], "step": 77, "ordinal_position": 78}, {"identifier": "I65", "position": [3, 4], "step": 78, "ordinal_position": 79}, {"identifier": "A96", "position": [3, 5], "step": 79, "ordinal_position": 80}, {"identifier": "V44", "position": [3, 6], "step": 80, "ordinal_position": 81}, {"identifier": "B72", "position": [3, 7], "step": 81, "ordinal_position": 82}, {"identifier": "P90", "position": [2, 7], "step": 82, "ordinal_position": 83}, {"identifier": "P25", "position": [1, 7], "step": 83, "ordinal_position": 84}, {"identifier": "V58", "position": [1, 6], "step": 84, "ordinal_position": 85}, {"identifier": "F63", "position": [1, 5], "step": 85, "ordinal_position": 86}, {"identifier": "T26", "position": [1, 4], "step": 86, "ordinal_position": 87}, {"identifier": "C40", "position": [1, 3], "step": 87, "ordinal_position": 88}, {"identifier": "J46", "position": [1, 2], "step": 88, "ordinal_position": 89}, {"identifier": "Q34", "position": [1, 1], "step": 89, "ordinal_position": 90}, {"identifier": "C92", "position": [2, 1], "step": 90, "ordinal_position": 91}, {"identifier": "R06", "position": [3, 1], "step": 91, "ordinal_position": 92}, {"identifier": "Z01", "position": [3, 2], "step": 92, "ordinal_position": 93}, {"identifier": "W20", "position": [3, 3], "step": 93, "ordinal_position": 94}, {"identifier": "I65", "position": [3, 4], "step": 94, "ordinal_position": 95}, {"identifier": "A96", "position": [3, 5], "step": 95, "ordinal_position": 96}, {"identifier": "V44", "position": [3, 6], "step": 96, "ordinal_position": 97}, {"identifier": "B72", "position": [3, 7], "step": 97, "ordinal_position": 98}, {"identifier": "P90", "position": [2, 7], "step": 98, "ordinal_position": 99}, {"identifier": "P25", "position": [1, 7], "step": 99, "ordinal_position": 100}, {"identifier": "V58", "position": [1, 6], "step": 100, "ordinal_position": 101}, {"identifier": "F63", "position": [1, 5], "step": 101, "ordinal_position": 102}, {"identifier": "T26", "position": [1, 4], "step": 102, "ordinal_position": 103}, {"identifier": "C40", "position": [1, 3], "step": 103, "ordinal_position": 104}, {"identifier": "J46", "position": [1, 2], "step": 104, "ordinal_position": 105}, {"identifier": "Q34", "position": [1, 1], "step": 105, "ordinal_position": 106}, {"identifier": "C92", "position": [2, 1], "step": 106, "ordinal_position": 107}, {"identifier": "R06", "position": [3, 1], "step": 107, "ordinal_position": 108}, {"identifier": "Z01", "position": [3, 2], "step": 108, "ordinal_position": 109}, {"identifier": "W20", "position": [3, 3], "step": 109, "ordinal_position": 110}, {"identifier": "I65", "position": [3, 4], "step": 110, "ordinal_position": 111}, {"identifier": "A96", "position": [3, 5], "step": 111, "ordinal_position": 112}, {"identifier": "V44", "position": [3, 6], "step": 112, "ordinal_position": 113}, {"identifier": "B72", "position": [3, 7], "step": 113, "ordinal_position": 114}, {"identifier": "P90", "position": [2, 7], "step": 114, "ordinal_position": 115}, {"identifier": "P25", "position": [1, 7], "step": 115, "ordinal_position": 116}, {"identifier": "V58", "position": [1, 6], "step": 116, "ordinal_position": 117}, {"identifier": "F63", "position": [1, 5], "step": 117, "ordinal_position": 118}, {"identifier": "T26", "position": [1, 4], "step": 118, "ordinal_position": 119}, {"identifier": "C40", "position": [1, 3], "step": 119, "ordinal_position": 120}, {"identifier": "J46", "position": [1, 2], "step": 120, "ordinal_position": 121}, {"identifier": "Q34", "position": [1, 1], "step": 121, "ordinal_position": 122}, {"identifier": "C92", "position": [2, 1], "step": 122, "ordinal_position": 123}, {"identifier": "R06", "position": [3, 1], "step": 123, "ordinal_position": 124}, {"identifier": "Z01", "position": [3, 2], "step": 124, "ordinal_position": 125}, {"identifier": "W20", "position": [3, 3], "step": 125, "ordinal_position": 126}, {"identifier": "I65", "position": [3, 4], "step": 126, "ordinal_position": 127}, {"identifier": "A96", "position": [3, 5], "step": 127, "ordinal_position": 128}, {"identifier": "V44", "position": [3, 6], "step": 128, "ordinal_position": 129}, {"identifier": "B72", "position": [3, 7], "step": 129, "ordinal_position": 130}, {"identifier": "P90", "position": [2, 7], "step": 130, "ordinal_position": 131}, {"identifier": "P25", "position": [1, 7], "step": 131, "ordinal_position": 132}, {"identifier": "V58", "position": [1, 6], "step": 132, "ordinal_position": 133}, {"identifier": "F63", "position": [1, 5], "step": 133, "ordinal_position": 134}, {"identifier": "T26", "position": [1, 4], "step": 134, "ordinal_position": 135}, {"identifier": "C40", "position": [1, 3], "step": 135, "ordinal_position": 136}, {"identifier": "J46", "position": [1, 2], "step": 136, "ordinal_position": 137}, {"identifier": "Q34", "position": [1, 1], "step": 137, "ordinal_position": 138}, {"identifier": "C92", "position": [2, 1], "step": 138, "ordinal_position": 139}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 139, "direction": "left", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_009.json"}} {"qa_id": "20fbe35c544c4503b3fe276da14db14a", "image_id": "L3-MazeLoop-test_21x21_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U13, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 225th position in this traversal?", "start_object_id": "U13", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [225], "ordinal_strings": ["225th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "B20", "traversal_path": [{"identifier": "U13", "position": [19, 3], "step": 0, "ordinal_position": 1}, {"identifier": "J03", "position": [18, 3], "step": 1, "ordinal_position": 2}, {"identifier": "Z58", "position": [17, 3], "step": 2, "ordinal_position": 3}, {"identifier": "Y79", "position": [17, 4], "step": 3, "ordinal_position": 4}, {"identifier": "S99", "position": [17, 5], "step": 4, "ordinal_position": 5}, {"identifier": "D08", "position": [18, 5], "step": 5, "ordinal_position": 6}, {"identifier": "N00", "position": [19, 5], "step": 6, "ordinal_position": 7}, {"identifier": "A53", "position": [19, 6], "step": 7, "ordinal_position": 8}, {"identifier": "K74", "position": [19, 7], "step": 8, "ordinal_position": 9}, {"identifier": "I40", "position": [19, 8], "step": 9, "ordinal_position": 10}, {"identifier": "Q47", "position": [19, 9], "step": 10, "ordinal_position": 11}, {"identifier": "G98", "position": [19, 10], "step": 11, "ordinal_position": 12}, {"identifier": "W47", "position": [19, 11], "step": 12, "ordinal_position": 13}, {"identifier": "Q51", "position": [19, 12], "step": 13, "ordinal_position": 14}, {"identifier": "A29", "position": [19, 13], "step": 14, "ordinal_position": 15}, {"identifier": "H64", "position": [19, 14], "step": 15, "ordinal_position": 16}, {"identifier": "R08", "position": [19, 15], "step": 16, "ordinal_position": 17}, {"identifier": "E53", "position": [18, 15], "step": 17, "ordinal_position": 18}, {"identifier": "N17", "position": [17, 15], "step": 18, "ordinal_position": 19}, {"identifier": "B19", "position": [16, 15], "step": 19, "ordinal_position": 20}, {"identifier": "F30", "position": [15, 15], "step": 20, "ordinal_position": 21}, {"identifier": "T40", "position": [15, 16], "step": 21, "ordinal_position": 22}, {"identifier": "A78", "position": [15, 17], "step": 22, "ordinal_position": 23}, {"identifier": "T47", "position": [16, 17], "step": 23, "ordinal_position": 24}, {"identifier": "D21", "position": [17, 17], "step": 24, "ordinal_position": 25}, {"identifier": "G64", "position": [18, 17], "step": 25, "ordinal_position": 26}, {"identifier": "C68", "position": [19, 17], "step": 26, "ordinal_position": 27}, {"identifier": "M90", "position": [19, 18], "step": 27, "ordinal_position": 28}, {"identifier": "L65", "position": [19, 19], "step": 28, "ordinal_position": 29}, {"identifier": "U31", "position": [18, 19], "step": 29, "ordinal_position": 30}, {"identifier": "K37", "position": [17, 19], "step": 30, "ordinal_position": 31}, {"identifier": "N31", "position": [16, 19], "step": 31, "ordinal_position": 32}, {"identifier": "M32", "position": [15, 19], "step": 32, "ordinal_position": 33}, {"identifier": "U07", "position": [14, 19], "step": 33, "ordinal_position": 34}, {"identifier": "H87", "position": [13, 19], "step": 34, "ordinal_position": 35}, {"identifier": "D30", "position": [13, 18], "step": 35, "ordinal_position": 36}, {"identifier": "N25", "position": [13, 17], "step": 36, "ordinal_position": 37}, {"identifier": "Q65", "position": [13, 16], "step": 37, "ordinal_position": 38}, {"identifier": "J05", "position": [13, 15], "step": 38, "ordinal_position": 39}, {"identifier": "A35", "position": [12, 15], "step": 39, "ordinal_position": 40}, {"identifier": "V05", "position": [11, 15], "step": 40, "ordinal_position": 41}, {"identifier": "X07", "position": [11, 14], "step": 41, "ordinal_position": 42}, {"identifier": "X50", "position": [11, 13], "step": 42, "ordinal_position": 43}, {"identifier": "O47", "position": [12, 13], "step": 43, "ordinal_position": 44}, {"identifier": "B20", "position": [13, 13], "step": 44, "ordinal_position": 45}, {"identifier": "T74", "position": [14, 13], "step": 45, "ordinal_position": 46}, {"identifier": "S78", "position": [15, 13], "step": 46, "ordinal_position": 47}, {"identifier": "U57", "position": [16, 13], "step": 47, "ordinal_position": 48}, {"identifier": "O53", "position": [17, 13], "step": 48, "ordinal_position": 49}, {"identifier": "K29", "position": [18, 13], "step": 49, "ordinal_position": 50}, {"identifier": "A29", "position": [19, 13], "step": 50, "ordinal_position": 51}, {"identifier": "H64", "position": [19, 14], "step": 51, "ordinal_position": 52}, {"identifier": "R08", "position": [19, 15], "step": 52, "ordinal_position": 53}, {"identifier": "E53", "position": [18, 15], "step": 53, "ordinal_position": 54}, {"identifier": "N17", "position": [17, 15], "step": 54, "ordinal_position": 55}, {"identifier": "B19", "position": [16, 15], "step": 55, "ordinal_position": 56}, {"identifier": "F30", "position": [15, 15], "step": 56, "ordinal_position": 57}, {"identifier": "T40", "position": [15, 16], "step": 57, "ordinal_position": 58}, {"identifier": "A78", "position": [15, 17], "step": 58, "ordinal_position": 59}, {"identifier": "T47", "position": [16, 17], "step": 59, "ordinal_position": 60}, {"identifier": "D21", "position": [17, 17], "step": 60, "ordinal_position": 61}, {"identifier": "G64", "position": [18, 17], "step": 61, "ordinal_position": 62}, {"identifier": "C68", "position": [19, 17], "step": 62, "ordinal_position": 63}, {"identifier": "M90", "position": [19, 18], "step": 63, "ordinal_position": 64}, {"identifier": "L65", "position": [19, 19], "step": 64, "ordinal_position": 65}, {"identifier": "U31", "position": [18, 19], "step": 65, "ordinal_position": 66}, {"identifier": "K37", "position": [17, 19], "step": 66, "ordinal_position": 67}, {"identifier": "N31", "position": [16, 19], "step": 67, "ordinal_position": 68}, {"identifier": "M32", "position": [15, 19], "step": 68, "ordinal_position": 69}, {"identifier": "U07", "position": [14, 19], "step": 69, "ordinal_position": 70}, {"identifier": "H87", "position": [13, 19], "step": 70, "ordinal_position": 71}, {"identifier": "D30", "position": [13, 18], "step": 71, "ordinal_position": 72}, {"identifier": "N25", "position": [13, 17], "step": 72, "ordinal_position": 73}, {"identifier": "Q65", "position": [13, 16], "step": 73, 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{"identifier": "A29", "position": [19, 13], "step": 86, "ordinal_position": 87}, {"identifier": "H64", "position": [19, 14], "step": 87, "ordinal_position": 88}, {"identifier": "R08", "position": [19, 15], "step": 88, "ordinal_position": 89}, {"identifier": "E53", "position": [18, 15], "step": 89, "ordinal_position": 90}, {"identifier": "N17", "position": [17, 15], "step": 90, "ordinal_position": 91}, {"identifier": "B19", "position": [16, 15], "step": 91, "ordinal_position": 92}, {"identifier": "F30", "position": [15, 15], "step": 92, "ordinal_position": 93}, {"identifier": "T40", "position": [15, 16], "step": 93, "ordinal_position": 94}, {"identifier": "A78", "position": [15, 17], "step": 94, "ordinal_position": 95}, {"identifier": "T47", "position": [16, 17], "step": 95, "ordinal_position": 96}, {"identifier": "D21", "position": [17, 17], "step": 96, "ordinal_position": 97}, {"identifier": "G64", "position": [18, 17], "step": 97, "ordinal_position": 98}, {"identifier": "C68", "position": [19, 17], "step": 98, "ordinal_position": 99}, {"identifier": "M90", "position": [19, 18], "step": 99, "ordinal_position": 100}, {"identifier": "L65", "position": [19, 19], "step": 100, "ordinal_position": 101}, {"identifier": "U31", "position": [18, 19], "step": 101, "ordinal_position": 102}, {"identifier": "K37", "position": [17, 19], "step": 102, "ordinal_position": 103}, {"identifier": "N31", "position": [16, 19], "step": 103, "ordinal_position": 104}, {"identifier": "M32", "position": [15, 19], "step": 104, "ordinal_position": 105}, {"identifier": "U07", "position": [14, 19], "step": 105, "ordinal_position": 106}, {"identifier": "H87", "position": [13, 19], "step": 106, "ordinal_position": 107}, {"identifier": "D30", "position": [13, 18], "step": 107, "ordinal_position": 108}, {"identifier": "N25", "position": [13, 17], "step": 108, "ordinal_position": 109}, {"identifier": "Q65", "position": [13, 16], "step": 109, "ordinal_position": 110}, {"identifier": "J05", "position": [13, 15], "step": 110, "ordinal_position": 111}, {"identifier": "A35", "position": [12, 15], "step": 111, "ordinal_position": 112}, {"identifier": "V05", "position": [11, 15], "step": 112, "ordinal_position": 113}, {"identifier": "X07", "position": [11, 14], "step": 113, "ordinal_position": 114}, {"identifier": "X50", "position": [11, 13], "step": 114, "ordinal_position": 115}, {"identifier": "O47", "position": [12, 13], "step": 115, "ordinal_position": 116}, {"identifier": "B20", "position": [13, 13], "step": 116, "ordinal_position": 117}, {"identifier": "T74", "position": [14, 13], "step": 117, "ordinal_position": 118}, {"identifier": "S78", "position": [15, 13], "step": 118, "ordinal_position": 119}, {"identifier": "U57", "position": [16, 13], "step": 119, "ordinal_position": 120}, {"identifier": "O53", "position": [17, 13], "step": 120, "ordinal_position": 121}, {"identifier": "K29", "position": [18, 13], "step": 121, "ordinal_position": 122}, {"identifier": "A29", "position": [19, 13], "step": 122, "ordinal_position": 123}, {"identifier": "H64", "position": [19, 14], "step": 123, "ordinal_position": 124}, {"identifier": "R08", "position": [19, 15], "step": 124, "ordinal_position": 125}, {"identifier": "E53", "position": [18, 15], "step": 125, "ordinal_position": 126}, {"identifier": "N17", "position": [17, 15], "step": 126, "ordinal_position": 127}, {"identifier": "B19", "position": [16, 15], "step": 127, "ordinal_position": 128}, {"identifier": "F30", "position": [15, 15], "step": 128, "ordinal_position": 129}, {"identifier": "T40", "position": [15, 16], "step": 129, "ordinal_position": 130}, {"identifier": "A78", "position": [15, 17], "step": 130, "ordinal_position": 131}, {"identifier": "T47", "position": [16, 17], "step": 131, "ordinal_position": 132}, {"identifier": "D21", "position": [17, 17], "step": 132, "ordinal_position": 133}, {"identifier": "G64", "position": [18, 17], "step": 133, "ordinal_position": 134}, {"identifier": "C68", "position": [19, 17], "step": 134, "ordinal_position": 135}, {"identifier": "M90", "position": [19, 18], "step": 135, "ordinal_position": 136}, {"identifier": "L65", "position": [19, 19], "step": 136, "ordinal_position": 137}, {"identifier": "U31", "position": [18, 19], "step": 137, "ordinal_position": 138}, {"identifier": "K37", "position": [17, 19], "step": 138, "ordinal_position": 139}, {"identifier": "N31", "position": [16, 19], "step": 139, "ordinal_position": 140}, {"identifier": "M32", "position": [15, 19], "step": 140, "ordinal_position": 141}, {"identifier": "U07", "position": [14, 19], "step": 141, "ordinal_position": 142}, {"identifier": "H87", "position": [13, 19], "step": 142, "ordinal_position": 143}, {"identifier": "D30", "position": [13, 18], "step": 143, "ordinal_position": 144}, {"identifier": "N25", "position": [13, 17], "step": 144, "ordinal_position": 145}, {"identifier": "Q65", "position": [13, 16], "step": 145, "ordinal_position": 146}, {"identifier": "J05", "position": [13, 15], "step": 146, "ordinal_position": 147}, {"identifier": "A35", "position": [12, 15], "step": 147, "ordinal_position": 148}, {"identifier": "V05", "position": [11, 15], "step": 148, "ordinal_position": 149}, {"identifier": "X07", "position": [11, 14], "step": 149, "ordinal_position": 150}, {"identifier": "X50", "position": [11, 13], "step": 150, "ordinal_position": 151}, {"identifier": "O47", "position": [12, 13], "step": 151, "ordinal_position": 152}, {"identifier": "B20", "position": [13, 13], "step": 152, "ordinal_position": 153}, {"identifier": "T74", "position": [14, 13], "step": 153, "ordinal_position": 154}, {"identifier": "S78", "position": [15, 13], "step": 154, "ordinal_position": 155}, {"identifier": "U57", "position": [16, 13], "step": 155, "ordinal_position": 156}, {"identifier": "O53", "position": [17, 13], "step": 156, "ordinal_position": 157}, {"identifier": "K29", "position": [18, 13], "step": 157, "ordinal_position": 158}, {"identifier": "A29", "position": [19, 13], "step": 158, "ordinal_position": 159}, {"identifier": "H64", "position": [19, 14], "step": 159, "ordinal_position": 160}, {"identifier": "R08", "position": [19, 15], "step": 160, "ordinal_position": 161}, {"identifier": "E53", "position": [18, 15], "step": 161, "ordinal_position": 162}, {"identifier": "N17", "position": [17, 15], "step": 162, "ordinal_position": 163}, {"identifier": "B19", "position": [16, 15], "step": 163, "ordinal_position": 164}, {"identifier": "F30", "position": [15, 15], "step": 164, "ordinal_position": 165}, {"identifier": "T40", "position": [15, 16], "step": 165, "ordinal_position": 166}, {"identifier": "A78", "position": [15, 17], "step": 166, "ordinal_position": 167}, {"identifier": "T47", "position": [16, 17], "step": 167, "ordinal_position": 168}, {"identifier": "D21", "position": [17, 17], "step": 168, "ordinal_position": 169}, {"identifier": "G64", "position": [18, 17], "step": 169, "ordinal_position": 170}, {"identifier": "C68", "position": [19, 17], "step": 170, "ordinal_position": 171}, {"identifier": "M90", "position": [19, 18], "step": 171, "ordinal_position": 172}, {"identifier": "L65", "position": [19, 19], "step": 172, "ordinal_position": 173}, {"identifier": "U31", "position": [18, 19], "step": 173, "ordinal_position": 174}, {"identifier": "K37", "position": [17, 19], "step": 174, "ordinal_position": 175}, {"identifier": "N31", "position": [16, 19], "step": 175, "ordinal_position": 176}, {"identifier": "M32", "position": [15, 19], "step": 176, "ordinal_position": 177}, {"identifier": "U07", "position": [14, 19], "step": 177, "ordinal_position": 178}, {"identifier": "H87", "position": [13, 19], "step": 178, "ordinal_position": 179}, {"identifier": "D30", "position": [13, 18], "step": 179, "ordinal_position": 180}, {"identifier": "N25", "position": [13, 17], "step": 180, "ordinal_position": 181}, {"identifier": "Q65", "position": [13, 16], "step": 181, "ordinal_position": 182}, {"identifier": "J05", "position": [13, 15], "step": 182, "ordinal_position": 183}, {"identifier": "A35", "position": [12, 15], "step": 183, "ordinal_position": 184}, {"identifier": "V05", "position": [11, 15], "step": 184, "ordinal_position": 185}, {"identifier": "X07", "position": [11, 14], "step": 185, "ordinal_position": 186}, {"identifier": "X50", "position": [11, 13], "step": 186, "ordinal_position": 187}, {"identifier": "O47", "position": [12, 13], "step": 187, "ordinal_position": 188}, {"identifier": "B20", "position": [13, 13], "step": 188, "ordinal_position": 189}, {"identifier": "T74", "position": [14, 13], "step": 189, "ordinal_position": 190}, {"identifier": "S78", "position": [15, 13], "step": 190, "ordinal_position": 191}, {"identifier": "U57", "position": [16, 13], "step": 191, "ordinal_position": 192}, {"identifier": "O53", "position": [17, 13], "step": 192, "ordinal_position": 193}, {"identifier": "K29", "position": [18, 13], "step": 193, "ordinal_position": 194}, {"identifier": "A29", "position": [19, 13], "step": 194, "ordinal_position": 195}, {"identifier": "H64", "position": [19, 14], "step": 195, "ordinal_position": 196}, {"identifier": "R08", "position": [19, 15], "step": 196, "ordinal_position": 197}, {"identifier": "E53", "position": [18, 15], "step": 197, "ordinal_position": 198}, {"identifier": "N17", "position": [17, 15], "step": 198, "ordinal_position": 199}, {"identifier": "B19", "position": [16, 15], "step": 199, "ordinal_position": 200}, {"identifier": "F30", "position": [15, 15], "step": 200, "ordinal_position": 201}, {"identifier": "T40", "position": [15, 16], "step": 201, "ordinal_position": 202}, {"identifier": "A78", "position": [15, 17], "step": 202, "ordinal_position": 203}, {"identifier": "T47", "position": [16, 17], "step": 203, "ordinal_position": 204}, {"identifier": "D21", "position": [17, 17], "step": 204, "ordinal_position": 205}, {"identifier": "G64", "position": [18, 17], "step": 205, "ordinal_position": 206}, {"identifier": "C68", "position": [19, 17], "step": 206, "ordinal_position": 207}, {"identifier": "M90", "position": [19, 18], "step": 207, "ordinal_position": 208}, {"identifier": "L65", "position": [19, 19], "step": 208, "ordinal_position": 209}, {"identifier": "U31", "position": [18, 19], "step": 209, "ordinal_position": 210}, {"identifier": "K37", "position": [17, 19], "step": 210, "ordinal_position": 211}, {"identifier": "N31", "position": [16, 19], "step": 211, "ordinal_position": 212}, {"identifier": "M32", "position": [15, 19], "step": 212, "ordinal_position": 213}, {"identifier": "U07", "position": [14, 19], "step": 213, "ordinal_position": 214}, {"identifier": "H87", "position": [13, 19], "step": 214, "ordinal_position": 215}, {"identifier": "D30", "position": [13, 18], "step": 215, "ordinal_position": 216}, {"identifier": "N25", "position": [13, 17], "step": 216, "ordinal_position": 217}, {"identifier": "Q65", "position": [13, 16], "step": 217, "ordinal_position": 218}, {"identifier": "J05", "position": [13, 15], "step": 218, "ordinal_position": 219}, {"identifier": "A35", "position": [12, 15], "step": 219, "ordinal_position": 220}, {"identifier": "V05", "position": [11, 15], "step": 220, "ordinal_position": 221}, {"identifier": "X07", "position": [11, 14], "step": 221, "ordinal_position": 222}, {"identifier": "X50", "position": [11, 13], "step": 222, "ordinal_position": 223}, {"identifier": "O47", "position": [12, 13], "step": 223, "ordinal_position": 224}, {"identifier": "B20", "position": [13, 13], "step": 224, "ordinal_position": 225}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 225, "direction": "left", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_009.json"}} {"qa_id": "e3622fca3b294a7bb004f36b919e7c27", "image_id": "L3-MazeLoop-test_21x21_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U13, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 189th position in this traversal?", "start_object_id": "U13", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [189], "ordinal_strings": ["189th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "V21", "traversal_path": [{"identifier": "U13", "position": [19, 3], "step": 0, "ordinal_position": 1}, {"identifier": "D76", "position": [19, 2], "step": 1, "ordinal_position": 2}, {"identifier": "M29", "position": [19, 1], "step": 2, "ordinal_position": 3}, {"identifier": "O93", "position": [18, 1], "step": 3, "ordinal_position": 4}, {"identifier": "K50", "position": [17, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Z00", "position": [16, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Y84", "position": [15, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Z79", "position": [14, 1], "step": 7, "ordinal_position": 8}, {"identifier": "P77", "position": [13, 1], "step": 8, "ordinal_position": 9}, {"identifier": "J31", "position": [12, 1], "step": 9, "ordinal_position": 10}, {"identifier": "E08", "position": [11, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Y10", "position": [10, 1], "step": 11, "ordinal_position": 12}, {"identifier": "C65", "position": [9, 1], "step": 12, "ordinal_position": 13}, {"identifier": "L32", "position": [8, 1], "step": 13, "ordinal_position": 14}, {"identifier": "Z66", "position": [7, 1], "step": 14, "ordinal_position": 15}, {"identifier": "D86", "position": [6, 1], "step": 15, "ordinal_position": 16}, {"identifier": "H42", "position": [5, 1], "step": 16, "ordinal_position": 17}, {"identifier": "S97", "position": [5, 2], "step": 17, "ordinal_position": 18}, {"identifier": "H72", "position": [5, 3], "step": 18, "ordinal_position": 19}, {"identifier": "E35", "position": [4, 3], "step": 19, "ordinal_position": 20}, {"identifier": "W20", "position": [3, 3], "step": 20, "ordinal_position": 21}, {"identifier": "Z01", "position": [3, 2], "step": 21, "ordinal_position": 22}, {"identifier": "R06", "position": [3, 1], "step": 22, "ordinal_position": 23}, {"identifier": "C92", "position": [2, 1], "step": 23, "ordinal_position": 24}, {"identifier": "Q34", "position": [1, 1], "step": 24, "ordinal_position": 25}, {"identifier": "J46", "position": [1, 2], "step": 25, "ordinal_position": 26}, {"identifier": "C40", "position": [1, 3], "step": 26, "ordinal_position": 27}, {"identifier": "T26", "position": [1, 4], "step": 27, "ordinal_position": 28}, {"identifier": "F63", "position": [1, 5], "step": 28, "ordinal_position": 29}, {"identifier": "V58", "position": [1, 6], "step": 29, "ordinal_position": 30}, {"identifier": "P25", "position": [1, 7], "step": 30, "ordinal_position": 31}, {"identifier": "P90", "position": [2, 7], "step": 31, "ordinal_position": 32}, {"identifier": "B72", "position": [3, 7], "step": 32, "ordinal_position": 33}, {"identifier": "D46", "position": [4, 7], "step": 33, "ordinal_position": 34}, {"identifier": "Y69", "position": [5, 7], "step": 34, "ordinal_position": 35}, {"identifier": "B92", "position": [5, 8], "step": 35, "ordinal_position": 36}, {"identifier": "I31", "position": [5, 9], "step": 36, "ordinal_position": 37}, {"identifier": "J67", "position": [4, 9], 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{"identifier": "B59", "position": [1, 17], "step": 112, "ordinal_position": 113}, {"identifier": "S49", "position": [2, 17], "step": 113, "ordinal_position": 114}, {"identifier": "X79", "position": [3, 17], "step": 114, "ordinal_position": 115}, {"identifier": "T27", "position": [3, 18], "step": 115, "ordinal_position": 116}, {"identifier": "V21", "position": [3, 19], "step": 116, "ordinal_position": 117}, {"identifier": "S57", "position": [2, 19], "step": 117, "ordinal_position": 118}, {"identifier": "V93", "position": [1, 19], "step": 118, "ordinal_position": 119}, {"identifier": "N73", "position": [1, 18], "step": 119, "ordinal_position": 120}, {"identifier": "B59", "position": [1, 17], "step": 120, "ordinal_position": 121}, {"identifier": "S49", "position": [2, 17], "step": 121, "ordinal_position": 122}, {"identifier": "X79", "position": [3, 17], "step": 122, "ordinal_position": 123}, {"identifier": "T27", "position": [3, 18], "step": 123, "ordinal_position": 124}, {"identifier": 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"position": [1, 17], "step": 136, "ordinal_position": 137}, {"identifier": "S49", "position": [2, 17], "step": 137, "ordinal_position": 138}, {"identifier": "X79", "position": [3, 17], "step": 138, "ordinal_position": 139}, {"identifier": "T27", "position": [3, 18], "step": 139, "ordinal_position": 140}, {"identifier": "V21", "position": [3, 19], "step": 140, "ordinal_position": 141}, {"identifier": "S57", "position": [2, 19], "step": 141, "ordinal_position": 142}, {"identifier": "V93", "position": [1, 19], "step": 142, "ordinal_position": 143}, {"identifier": "N73", "position": [1, 18], "step": 143, "ordinal_position": 144}, {"identifier": "B59", "position": [1, 17], "step": 144, "ordinal_position": 145}, {"identifier": "S49", "position": [2, 17], "step": 145, "ordinal_position": 146}, {"identifier": "X79", "position": [3, 17], "step": 146, "ordinal_position": 147}, {"identifier": "T27", "position": [3, 18], "step": 147, "ordinal_position": 148}, {"identifier": "V21", "position": [3, 19], "step": 148, "ordinal_position": 149}, {"identifier": "S57", "position": [2, 19], "step": 149, "ordinal_position": 150}, {"identifier": "V93", "position": [1, 19], "step": 150, "ordinal_position": 151}, {"identifier": "N73", "position": [1, 18], "step": 151, "ordinal_position": 152}, {"identifier": "B59", "position": [1, 17], "step": 152, "ordinal_position": 153}, {"identifier": "S49", "position": [2, 17], "step": 153, "ordinal_position": 154}, {"identifier": "X79", "position": [3, 17], "step": 154, "ordinal_position": 155}, {"identifier": "T27", "position": [3, 18], "step": 155, "ordinal_position": 156}, {"identifier": "V21", "position": [3, 19], "step": 156, "ordinal_position": 157}, {"identifier": "S57", "position": [2, 19], "step": 157, "ordinal_position": 158}, {"identifier": "V93", "position": [1, 19], "step": 158, "ordinal_position": 159}, {"identifier": "N73", "position": [1, 18], "step": 159, "ordinal_position": 160}, {"identifier": "B59", "position": [1, 17], "step": 160, "ordinal_position": 161}, {"identifier": "S49", "position": [2, 17], "step": 161, "ordinal_position": 162}, {"identifier": "X79", "position": [3, 17], "step": 162, "ordinal_position": 163}, {"identifier": "T27", "position": [3, 18], "step": 163, "ordinal_position": 164}, {"identifier": "V21", "position": [3, 19], "step": 164, "ordinal_position": 165}, {"identifier": "S57", "position": [2, 19], "step": 165, "ordinal_position": 166}, {"identifier": "V93", "position": [1, 19], "step": 166, "ordinal_position": 167}, {"identifier": "N73", "position": [1, 18], "step": 167, "ordinal_position": 168}, {"identifier": "B59", "position": [1, 17], "step": 168, "ordinal_position": 169}, {"identifier": "S49", "position": [2, 17], "step": 169, "ordinal_position": 170}, {"identifier": "X79", "position": [3, 17], "step": 170, "ordinal_position": 171}, {"identifier": "T27", "position": [3, 18], "step": 171, "ordinal_position": 172}, {"identifier": "V21", "position": [3, 19], "step": 172, "ordinal_position": 173}, {"identifier": "S57", "position": [2, 19], "step": 173, "ordinal_position": 174}, {"identifier": "V93", "position": [1, 19], "step": 174, "ordinal_position": 175}, {"identifier": "N73", "position": [1, 18], "step": 175, "ordinal_position": 176}, {"identifier": "B59", "position": [1, 17], "step": 176, "ordinal_position": 177}, {"identifier": "S49", "position": [2, 17], "step": 177, "ordinal_position": 178}, {"identifier": "X79", "position": [3, 17], "step": 178, "ordinal_position": 179}, {"identifier": "T27", "position": [3, 18], "step": 179, "ordinal_position": 180}, {"identifier": "V21", "position": [3, 19], "step": 180, "ordinal_position": 181}, {"identifier": "S57", "position": [2, 19], "step": 181, "ordinal_position": 182}, {"identifier": "V93", "position": [1, 19], "step": 182, "ordinal_position": 183}, {"identifier": "N73", "position": [1, 18], "step": 183, "ordinal_position": 184}, {"identifier": "B59", "position": [1, 17], "step": 184, "ordinal_position": 185}, {"identifier": "S49", "position": [2, 17], "step": 185, "ordinal_position": 186}, {"identifier": "X79", "position": [3, 17], "step": 186, "ordinal_position": 187}, {"identifier": "T27", "position": [3, 18], "step": 187, "ordinal_position": 188}, {"identifier": "V21", "position": [3, 19], "step": 188, "ordinal_position": 189}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 189, "direction": "up", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_009.json"}} {"qa_id": "2c4fe318e4664f36907643a1bb529481", "image_id": "L3-MazeLoop-test_21x21_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K50, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 264th position in this traversal?", "start_object_id": "K50", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [264], "ordinal_strings": ["264th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "N16", "traversal_path": [{"identifier": "K50", "position": [17, 1], "step": 0, "ordinal_position": 1}, {"identifier": "Z00", "position": [16, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Y84", "position": [15, 1], "step": 2, "ordinal_position": 3}, {"identifier": "Z79", "position": [14, 1], "step": 3, "ordinal_position": 4}, {"identifier": "P77", "position": [13, 1], "step": 4, "ordinal_position": 5}, {"identifier": "J31", "position": [12, 1], "step": 5, "ordinal_position": 6}, {"identifier": "E08", "position": [11, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Y10", "position": [10, 1], "step": 7, "ordinal_position": 8}, {"identifier": "C65", "position": [9, 1], "step": 8, "ordinal_position": 9}, {"identifier": "L32", "position": [8, 1], "step": 9, "ordinal_position": 10}, {"identifier": "Z66", "position": [7, 1], "step": 10, "ordinal_position": 11}, {"identifier": "D86", "position": [6, 1], "step": 11, "ordinal_position": 12}, {"identifier": "H42", "position": [5, 1], "step": 12, "ordinal_position": 13}, {"identifier": "S97", "position": [5, 2], "step": 13, "ordinal_position": 14}, {"identifier": "H72", "position": [5, 3], "step": 14, "ordinal_position": 15}, {"identifier": "N16", "position": [6, 3], "step": 15, "ordinal_position": 16}, {"identifier": "S31", "position": [7, 3], "step": 16, "ordinal_position": 17}, {"identifier": "K12", "position": [7, 2], "step": 17, "ordinal_position": 18}, {"identifier": "Z66", "position": [7, 1], "step": 18, "ordinal_position": 19}, {"identifier": "D86", "position": [6, 1], "step": 19, "ordinal_position": 20}, {"identifier": "H42", "position": [5, 1], "step": 20, "ordinal_position": 21}, {"identifier": "S97", "position": [5, 2], "step": 21, "ordinal_position": 22}, {"identifier": "H72", "position": [5, 3], "step": 22, "ordinal_position": 23}, {"identifier": "N16", "position": [6, 3], "step": 23, "ordinal_position": 24}, {"identifier": "S31", "position": [7, 3], "step": 24, "ordinal_position": 25}, {"identifier": "K12", "position": [7, 2], "step": 25, "ordinal_position": 26}, {"identifier": "Z66", "position": [7, 1], "step": 26, "ordinal_position": 27}, {"identifier": "D86", "position": [6, 1], "step": 27, "ordinal_position": 28}, {"identifier": "H42", "position": [5, 1], "step": 28, "ordinal_position": 29}, {"identifier": "S97", "position": [5, 2], "step": 29, "ordinal_position": 30}, {"identifier": "H72", "position": [5, 3], "step": 30, "ordinal_position": 31}, {"identifier": "N16", "position": [6, 3], "step": 31, "ordinal_position": 32}, {"identifier": "S31", "position": [7, 3], "step": 32, "ordinal_position": 33}, {"identifier": "K12", "position": [7, 2], "step": 33, "ordinal_position": 34}, {"identifier": "Z66", "position": [7, 1], "step": 34, "ordinal_position": 35}, {"identifier": "D86", "position": [6, 1], "step": 35, "ordinal_position": 36}, {"identifier": "H42", "position": [5, 1], "step": 36, "ordinal_position": 37}, {"identifier": "S97", "position": [5, 2], "step": 37, "ordinal_position": 38}, {"identifier": "H72", "position": [5, 3], "step": 38, "ordinal_position": 39}, {"identifier": "N16", "position": [6, 3], "step": 39, "ordinal_position": 40}, {"identifier": "S31", "position": [7, 3], "step": 40, "ordinal_position": 41}, {"identifier": "K12", "position": [7, 2], "step": 41, "ordinal_position": 42}, {"identifier": "Z66", "position": [7, 1], "step": 42, "ordinal_position": 43}, {"identifier": "D86", "position": [6, 1], "step": 43, "ordinal_position": 44}, {"identifier": "H42", "position": [5, 1], "step": 44, "ordinal_position": 45}, {"identifier": "S97", "position": [5, 2], "step": 45, "ordinal_position": 46}, {"identifier": "H72", "position": [5, 3], "step": 46, "ordinal_position": 47}, {"identifier": "N16", "position": [6, 3], "step": 47, "ordinal_position": 48}, {"identifier": "S31", "position": [7, 3], "step": 48, "ordinal_position": 49}, {"identifier": "K12", "position": [7, 2], "step": 49, "ordinal_position": 50}, {"identifier": "Z66", "position": [7, 1], "step": 50, "ordinal_position": 51}, {"identifier": "D86", "position": [6, 1], "step": 51, "ordinal_position": 52}, {"identifier": "H42", "position": [5, 1], "step": 52, "ordinal_position": 53}, {"identifier": "S97", "position": [5, 2], "step": 53, "ordinal_position": 54}, {"identifier": "H72", "position": [5, 3], "step": 54, "ordinal_position": 55}, {"identifier": "N16", "position": [6, 3], "step": 55, "ordinal_position": 56}, {"identifier": "S31", "position": [7, 3], "step": 56, "ordinal_position": 57}, {"identifier": "K12", "position": [7, 2], "step": 57, "ordinal_position": 58}, {"identifier": "Z66", "position": [7, 1], "step": 58, "ordinal_position": 59}, {"identifier": "D86", "position": [6, 1], "step": 59, "ordinal_position": 60}, {"identifier": "H42", "position": [5, 1], "step": 60, "ordinal_position": 61}, {"identifier": "S97", "position": [5, 2], "step": 61, "ordinal_position": 62}, {"identifier": "H72", "position": [5, 3], "step": 62, "ordinal_position": 63}, {"identifier": "N16", "position": [6, 3], "step": 63, "ordinal_position": 64}, {"identifier": "S31", "position": [7, 3], "step": 64, "ordinal_position": 65}, {"identifier": "K12", "position": [7, 2], "step": 65, "ordinal_position": 66}, {"identifier": "Z66", "position": [7, 1], "step": 66, "ordinal_position": 67}, {"identifier": "D86", "position": [6, 1], "step": 67, "ordinal_position": 68}, {"identifier": "H42", "position": [5, 1], "step": 68, "ordinal_position": 69}, {"identifier": "S97", "position": [5, 2], "step": 69, "ordinal_position": 70}, {"identifier": "H72", "position": [5, 3], "step": 70, "ordinal_position": 71}, {"identifier": "N16", "position": [6, 3], "step": 71, "ordinal_position": 72}, {"identifier": "S31", "position": [7, 3], "step": 72, "ordinal_position": 73}, {"identifier": "K12", "position": [7, 2], "step": 73, "ordinal_position": 74}, {"identifier": "Z66", "position": [7, 1], "step": 74, "ordinal_position": 75}, {"identifier": "D86", "position": [6, 1], "step": 75, "ordinal_position": 76}, {"identifier": "H42", "position": [5, 1], "step": 76, "ordinal_position": 77}, {"identifier": "S97", "position": [5, 2], "step": 77, "ordinal_position": 78}, {"identifier": 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{"identifier": "H42", "position": [5, 1], "step": 140, "ordinal_position": 141}, {"identifier": "S97", "position": [5, 2], "step": 141, "ordinal_position": 142}, {"identifier": "H72", "position": [5, 3], "step": 142, "ordinal_position": 143}, {"identifier": "N16", "position": [6, 3], "step": 143, "ordinal_position": 144}, {"identifier": "S31", "position": [7, 3], "step": 144, "ordinal_position": 145}, {"identifier": "K12", "position": [7, 2], "step": 145, "ordinal_position": 146}, {"identifier": "Z66", "position": [7, 1], "step": 146, "ordinal_position": 147}, {"identifier": "D86", "position": [6, 1], "step": 147, "ordinal_position": 148}, {"identifier": "H42", "position": [5, 1], "step": 148, "ordinal_position": 149}, {"identifier": "S97", "position": [5, 2], "step": 149, "ordinal_position": 150}, {"identifier": "H72", "position": [5, 3], "step": 150, "ordinal_position": 151}, {"identifier": "N16", "position": [6, 3], "step": 151, "ordinal_position": 152}, {"identifier": "S31", 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164, "ordinal_position": 165}, {"identifier": "S97", "position": [5, 2], "step": 165, "ordinal_position": 166}, {"identifier": "H72", "position": [5, 3], "step": 166, "ordinal_position": 167}, {"identifier": "N16", "position": [6, 3], "step": 167, "ordinal_position": 168}, {"identifier": "S31", "position": [7, 3], "step": 168, "ordinal_position": 169}, {"identifier": "K12", "position": [7, 2], "step": 169, "ordinal_position": 170}, {"identifier": "Z66", "position": [7, 1], "step": 170, "ordinal_position": 171}, {"identifier": "D86", "position": [6, 1], "step": 171, "ordinal_position": 172}, {"identifier": "H42", "position": [5, 1], "step": 172, "ordinal_position": 173}, {"identifier": "S97", "position": [5, 2], "step": 173, "ordinal_position": 174}, {"identifier": "H72", "position": [5, 3], "step": 174, "ordinal_position": 175}, {"identifier": "N16", "position": [6, 3], "step": 175, "ordinal_position": 176}, {"identifier": "S31", "position": [7, 3], "step": 176, "ordinal_position": 177}, {"identifier": "K12", "position": [7, 2], "step": 177, "ordinal_position": 178}, {"identifier": "Z66", "position": [7, 1], "step": 178, "ordinal_position": 179}, {"identifier": "D86", "position": [6, 1], "step": 179, "ordinal_position": 180}, {"identifier": "H42", "position": [5, 1], "step": 180, "ordinal_position": 181}, {"identifier": "S97", "position": [5, 2], "step": 181, "ordinal_position": 182}, {"identifier": "H72", "position": [5, 3], "step": 182, "ordinal_position": 183}, {"identifier": "N16", "position": [6, 3], "step": 183, "ordinal_position": 184}, {"identifier": "S31", "position": [7, 3], "step": 184, "ordinal_position": 185}, {"identifier": "K12", "position": [7, 2], "step": 185, "ordinal_position": 186}, {"identifier": "Z66", "position": [7, 1], "step": 186, "ordinal_position": 187}, {"identifier": "D86", "position": [6, 1], "step": 187, "ordinal_position": 188}, {"identifier": "H42", "position": [5, 1], "step": 188, "ordinal_position": 189}, {"identifier": "S97", "position": [5, 2], "step": 189, "ordinal_position": 190}, {"identifier": "H72", "position": [5, 3], "step": 190, "ordinal_position": 191}, {"identifier": "N16", "position": [6, 3], "step": 191, "ordinal_position": 192}, {"identifier": "S31", "position": [7, 3], "step": 192, "ordinal_position": 193}, {"identifier": "K12", "position": [7, 2], "step": 193, "ordinal_position": 194}, {"identifier": "Z66", "position": [7, 1], "step": 194, "ordinal_position": 195}, {"identifier": "D86", "position": [6, 1], "step": 195, "ordinal_position": 196}, {"identifier": "H42", "position": [5, 1], "step": 196, "ordinal_position": 197}, {"identifier": "S97", "position": [5, 2], "step": 197, "ordinal_position": 198}, {"identifier": "H72", "position": [5, 3], "step": 198, "ordinal_position": 199}, {"identifier": "N16", "position": [6, 3], "step": 199, "ordinal_position": 200}, {"identifier": "S31", "position": [7, 3], "step": 200, "ordinal_position": 201}, {"identifier": "K12", "position": [7, 2], "step": 201, "ordinal_position": 202}, {"identifier": "Z66", "position": [7, 1], "step": 202, "ordinal_position": 203}, {"identifier": "D86", "position": [6, 1], "step": 203, "ordinal_position": 204}, {"identifier": "H42", "position": [5, 1], "step": 204, "ordinal_position": 205}, {"identifier": "S97", "position": [5, 2], "step": 205, "ordinal_position": 206}, {"identifier": "H72", "position": [5, 3], "step": 206, "ordinal_position": 207}, {"identifier": "N16", "position": [6, 3], "step": 207, "ordinal_position": 208}, {"identifier": "S31", "position": [7, 3], "step": 208, "ordinal_position": 209}, {"identifier": "K12", "position": [7, 2], "step": 209, "ordinal_position": 210}, {"identifier": "Z66", "position": [7, 1], "step": 210, "ordinal_position": 211}, {"identifier": "D86", "position": [6, 1], "step": 211, "ordinal_position": 212}, {"identifier": "H42", "position": [5, 1], "step": 212, "ordinal_position": 213}, {"identifier": "S97", "position": [5, 2], "step": 213, "ordinal_position": 214}, {"identifier": "H72", "position": [5, 3], "step": 214, "ordinal_position": 215}, {"identifier": "N16", "position": [6, 3], "step": 215, "ordinal_position": 216}, {"identifier": "S31", "position": [7, 3], "step": 216, "ordinal_position": 217}, {"identifier": "K12", "position": [7, 2], "step": 217, "ordinal_position": 218}, {"identifier": "Z66", "position": [7, 1], "step": 218, "ordinal_position": 219}, {"identifier": "D86", "position": [6, 1], "step": 219, "ordinal_position": 220}, {"identifier": "H42", "position": [5, 1], "step": 220, "ordinal_position": 221}, {"identifier": "S97", "position": [5, 2], "step": 221, "ordinal_position": 222}, {"identifier": "H72", "position": [5, 3], "step": 222, "ordinal_position": 223}, {"identifier": "N16", "position": [6, 3], "step": 223, "ordinal_position": 224}, {"identifier": "S31", "position": [7, 3], "step": 224, "ordinal_position": 225}, {"identifier": "K12", "position": [7, 2], "step": 225, "ordinal_position": 226}, {"identifier": "Z66", "position": [7, 1], "step": 226, "ordinal_position": 227}, {"identifier": "D86", "position": [6, 1], "step": 227, "ordinal_position": 228}, {"identifier": "H42", "position": [5, 1], "step": 228, "ordinal_position": 229}, {"identifier": "S97", "position": [5, 2], "step": 229, "ordinal_position": 230}, {"identifier": "H72", "position": [5, 3], "step": 230, "ordinal_position": 231}, {"identifier": "N16", "position": [6, 3], "step": 231, "ordinal_position": 232}, {"identifier": "S31", "position": [7, 3], "step": 232, "ordinal_position": 233}, {"identifier": "K12", "position": [7, 2], "step": 233, "ordinal_position": 234}, {"identifier": "Z66", "position": [7, 1], "step": 234, "ordinal_position": 235}, {"identifier": "D86", "position": [6, 1], "step": 235, "ordinal_position": 236}, {"identifier": "H42", "position": [5, 1], "step": 236, "ordinal_position": 237}, {"identifier": "S97", "position": [5, 2], "step": 237, "ordinal_position": 238}, {"identifier": "H72", "position": [5, 3], "step": 238, "ordinal_position": 239}, {"identifier": "N16", "position": [6, 3], "step": 239, "ordinal_position": 240}, {"identifier": "S31", "position": [7, 3], "step": 240, "ordinal_position": 241}, {"identifier": "K12", "position": [7, 2], "step": 241, "ordinal_position": 242}, {"identifier": "Z66", "position": [7, 1], "step": 242, "ordinal_position": 243}, {"identifier": "D86", "position": [6, 1], "step": 243, "ordinal_position": 244}, {"identifier": "H42", "position": [5, 1], "step": 244, "ordinal_position": 245}, {"identifier": "S97", "position": [5, 2], "step": 245, "ordinal_position": 246}, {"identifier": "H72", "position": [5, 3], "step": 246, "ordinal_position": 247}, {"identifier": "N16", "position": [6, 3], "step": 247, "ordinal_position": 248}, {"identifier": "S31", "position": [7, 3], "step": 248, "ordinal_position": 249}, {"identifier": "K12", "position": [7, 2], "step": 249, "ordinal_position": 250}, {"identifier": "Z66", "position": [7, 1], "step": 250, "ordinal_position": 251}, {"identifier": "D86", "position": [6, 1], "step": 251, "ordinal_position": 252}, {"identifier": "H42", "position": [5, 1], "step": 252, "ordinal_position": 253}, {"identifier": "S97", "position": [5, 2], "step": 253, "ordinal_position": 254}, {"identifier": "H72", "position": [5, 3], "step": 254, "ordinal_position": 255}, {"identifier": "N16", "position": [6, 3], "step": 255, "ordinal_position": 256}, {"identifier": "S31", "position": [7, 3], "step": 256, "ordinal_position": 257}, {"identifier": "K12", "position": [7, 2], "step": 257, "ordinal_position": 258}, {"identifier": "Z66", "position": [7, 1], "step": 258, "ordinal_position": 259}, {"identifier": "D86", "position": [6, 1], "step": 259, "ordinal_position": 260}, {"identifier": "H42", "position": [5, 1], "step": 260, "ordinal_position": 261}, {"identifier": "S97", "position": [5, 2], "step": 261, "ordinal_position": 262}, {"identifier": "H72", "position": [5, 3], "step": 262, "ordinal_position": 263}, {"identifier": "N16", "position": [6, 3], "step": 263, "ordinal_position": 264}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 264, "direction": "left", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_009.json"}} {"qa_id": "4d38add8253a4704a3c4b86f8ed093d7", "image_id": "L3-MazeLoop-test_21x21_009", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z99, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 224th position in this traversal?", "start_object_id": "Z99", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [224], "ordinal_strings": ["224th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M32", "traversal_path": [{"identifier": "Z99", "position": [10, 3], "step": 0, "ordinal_position": 1}, {"identifier": "S70", "position": [9, 3], "step": 1, "ordinal_position": 2}, {"identifier": "T44", "position": [9, 4], "step": 2, "ordinal_position": 3}, {"identifier": "U14", "position": [9, 5], "step": 3, "ordinal_position": 4}, {"identifier": "H20", "position": [9, 6], "step": 4, "ordinal_position": 5}, {"identifier": "D05", "position": [9, 7], "step": 5, "ordinal_position": 6}, {"identifier": "Y74", "position": [9, 8], "step": 6, "ordinal_position": 7}, {"identifier": "D45", "position": [9, 9], "step": 7, "ordinal_position": 8}, {"identifier": "A63", "position": [10, 9], "step": 8, "ordinal_position": 9}, {"identifier": "D74", "position": [11, 9], "step": 9, "ordinal_position": 10}, {"identifier": "Q78", "position": [11, 10], "step": 10, "ordinal_position": 11}, {"identifier": "D10", "position": [11, 11], "step": 11, "ordinal_position": 12}, {"identifier": "W29", "position": [12, 11], "step": 12, "ordinal_position": 13}, {"identifier": "F64", "position": [13, 11], "step": 13, "ordinal_position": 14}, {"identifier": "N45", "position": [14, 11], "step": 14, "ordinal_position": 15}, {"identifier": "B06", "position": [15, 11], "step": 15, "ordinal_position": 16}, {"identifier": "X28", "position": [15, 10], "step": 16, "ordinal_position": 17}, {"identifier": "I64", "position": [15, 9], "step": 17, "ordinal_position": 18}, {"identifier": "E91", "position": [16, 9], "step": 18, "ordinal_position": 19}, {"identifier": "C72", "position": [17, 9], "step": 19, "ordinal_position": 20}, {"identifier": "H09", "position": [17, 10], "step": 20, "ordinal_position": 21}, {"identifier": "Y28", "position": [17, 11], "step": 21, "ordinal_position": 22}, {"identifier": "Y22", "position": [18, 11], "step": 22, "ordinal_position": 23}, {"identifier": "W47", "position": [19, 11], "step": 23, "ordinal_position": 24}, {"identifier": "Q51", "position": [19, 12], "step": 24, "ordinal_position": 25}, {"identifier": "A29", "position": [19, 13], "step": 25, "ordinal_position": 26}, {"identifier": "H64", "position": [19, 14], "step": 26, "ordinal_position": 27}, {"identifier": "R08", "position": [19, 15], "step": 27, "ordinal_position": 28}, {"identifier": "E53", "position": [18, 15], "step": 28, "ordinal_position": 29}, {"identifier": "N17", "position": [17, 15], "step": 29, "ordinal_position": 30}, {"identifier": "B19", "position": [16, 15], "step": 30, "ordinal_position": 31}, {"identifier": "F30", "position": [15, 15], "step": 31, "ordinal_position": 32}, {"identifier": "T40", "position": [15, 16], "step": 32, "ordinal_position": 33}, {"identifier": "A78", "position": [15, 17], "step": 33, "ordinal_position": 34}, {"identifier": "T47", "position": [16, 17], "step": 34, "ordinal_position": 35}, {"identifier": "D21", "position": [17, 17], "step": 35, "ordinal_position": 36}, {"identifier": "G64", "position": [18, 17], "step": 36, "ordinal_position": 37}, {"identifier": "C68", "position": [19, 17], "step": 37, "ordinal_position": 38}, {"identifier": "M90", "position": [19, 18], "step": 38, "ordinal_position": 39}, {"identifier": "L65", "position": [19, 19], "step": 39, "ordinal_position": 40}, {"identifier": "U31", "position": [18, 19], "step": 40, "ordinal_position": 41}, {"identifier": "K37", "position": [17, 19], "step": 41, "ordinal_position": 42}, {"identifier": "N31", "position": [16, 19], "step": 42, "ordinal_position": 43}, {"identifier": "M32", "position": [15, 19], "step": 43, "ordinal_position": 44}, {"identifier": "U07", "position": [14, 19], "step": 44, "ordinal_position": 45}, {"identifier": "H87", "position": [13, 19], "step": 45, "ordinal_position": 46}, {"identifier": "D30", "position": [13, 18], "step": 46, "ordinal_position": 47}, {"identifier": "N25", "position": [13, 17], "step": 47, "ordinal_position": 48}, {"identifier": "Q65", "position": [13, 16], "step": 48, "ordinal_position": 49}, {"identifier": "J05", "position": [13, 15], "step": 49, "ordinal_position": 50}, {"identifier": "A35", "position": [12, 15], "step": 50, "ordinal_position": 51}, {"identifier": "V05", "position": [11, 15], "step": 51, "ordinal_position": 52}, {"identifier": "X07", "position": [11, 14], "step": 52, "ordinal_position": 53}, {"identifier": "X50", "position": [11, 13], "step": 53, "ordinal_position": 54}, {"identifier": "O47", "position": [12, 13], "step": 54, "ordinal_position": 55}, {"identifier": "B20", "position": [13, 13], "step": 55, "ordinal_position": 56}, {"identifier": "T74", "position": [14, 13], "step": 56, "ordinal_position": 57}, {"identifier": "S78", "position": [15, 13], "step": 57, "ordinal_position": 58}, {"identifier": "U57", "position": [16, 13], "step": 58, "ordinal_position": 59}, {"identifier": "O53", "position": [17, 13], "step": 59, "ordinal_position": 60}, {"identifier": "K29", "position": [18, 13], "step": 60, "ordinal_position": 61}, {"identifier": "A29", "position": [19, 13], "step": 61, "ordinal_position": 62}, {"identifier": "H64", "position": [19, 14], "step": 62, "ordinal_position": 63}, {"identifier": "R08", "position": [19, 15], "step": 63, "ordinal_position": 64}, {"identifier": "E53", "position": [18, 15], "step": 64, "ordinal_position": 65}, {"identifier": "N17", "position": [17, 15], "step": 65, "ordinal_position": 66}, {"identifier": "B19", "position": [16, 15], "step": 66, "ordinal_position": 67}, {"identifier": "F30", "position": [15, 15], "step": 67, "ordinal_position": 68}, {"identifier": "T40", "position": [15, 16], "step": 68, "ordinal_position": 69}, {"identifier": "A78", "position": [15, 17], "step": 69, "ordinal_position": 70}, {"identifier": "T47", "position": [16, 17], "step": 70, "ordinal_position": 71}, {"identifier": "D21", "position": [17, 17], "step": 71, "ordinal_position": 72}, {"identifier": "G64", "position": [18, 17], "step": 72, "ordinal_position": 73}, {"identifier": "C68", "position": [19, 17], "step": 73, "ordinal_position": 74}, {"identifier": "M90", "position": [19, 18], "step": 74, "ordinal_position": 75}, {"identifier": "L65", "position": [19, 19], "step": 75, "ordinal_position": 76}, {"identifier": "U31", "position": [18, 19], "step": 76, "ordinal_position": 77}, {"identifier": "K37", "position": [17, 19], "step": 77, "ordinal_position": 78}, {"identifier": "N31", "position": [16, 19], "step": 78, "ordinal_position": 79}, {"identifier": "M32", "position": [15, 19], "step": 79, "ordinal_position": 80}, {"identifier": "U07", "position": [14, 19], "step": 80, "ordinal_position": 81}, {"identifier": "H87", "position": [13, 19], "step": 81, "ordinal_position": 82}, {"identifier": "D30", "position": [13, 18], "step": 82, "ordinal_position": 83}, {"identifier": "N25", "position": [13, 17], "step": 83, "ordinal_position": 84}, {"identifier": "Q65", "position": [13, 16], "step": 84, "ordinal_position": 85}, {"identifier": "J05", "position": [13, 15], "step": 85, "ordinal_position": 86}, {"identifier": "A35", "position": [12, 15], "step": 86, "ordinal_position": 87}, {"identifier": "V05", "position": [11, 15], "step": 87, "ordinal_position": 88}, {"identifier": "X07", "position": [11, 14], "step": 88, "ordinal_position": 89}, {"identifier": "X50", "position": [11, 13], "step": 89, "ordinal_position": 90}, {"identifier": "O47", "position": [12, 13], "step": 90, "ordinal_position": 91}, {"identifier": "B20", "position": [13, 13], "step": 91, "ordinal_position": 92}, {"identifier": "T74", "position": [14, 13], "step": 92, "ordinal_position": 93}, {"identifier": "S78", "position": [15, 13], "step": 93, "ordinal_position": 94}, {"identifier": "U57", "position": [16, 13], "step": 94, "ordinal_position": 95}, {"identifier": "O53", "position": [17, 13], "step": 95, "ordinal_position": 96}, {"identifier": "K29", "position": [18, 13], "step": 96, "ordinal_position": 97}, {"identifier": "A29", "position": [19, 13], "step": 97, "ordinal_position": 98}, {"identifier": "H64", "position": [19, 14], "step": 98, "ordinal_position": 99}, {"identifier": "R08", "position": [19, 15], "step": 99, "ordinal_position": 100}, {"identifier": "E53", "position": [18, 15], "step": 100, "ordinal_position": 101}, {"identifier": "N17", "position": [17, 15], "step": 101, "ordinal_position": 102}, {"identifier": "B19", "position": [16, 15], "step": 102, "ordinal_position": 103}, {"identifier": "F30", "position": [15, 15], "step": 103, "ordinal_position": 104}, {"identifier": "T40", "position": [15, 16], "step": 104, "ordinal_position": 105}, {"identifier": "A78", "position": [15, 17], "step": 105, "ordinal_position": 106}, {"identifier": "T47", "position": [16, 17], "step": 106, "ordinal_position": 107}, {"identifier": "D21", "position": [17, 17], "step": 107, "ordinal_position": 108}, {"identifier": "G64", "position": [18, 17], "step": 108, "ordinal_position": 109}, {"identifier": "C68", "position": [19, 17], "step": 109, "ordinal_position": 110}, {"identifier": "M90", "position": [19, 18], "step": 110, "ordinal_position": 111}, {"identifier": "L65", "position": [19, 19], "step": 111, "ordinal_position": 112}, {"identifier": "U31", "position": [18, 19], "step": 112, "ordinal_position": 113}, {"identifier": "K37", "position": [17, 19], "step": 113, "ordinal_position": 114}, {"identifier": "N31", "position": [16, 19], "step": 114, "ordinal_position": 115}, {"identifier": "M32", "position": [15, 19], "step": 115, "ordinal_position": 116}, {"identifier": "U07", "position": [14, 19], "step": 116, "ordinal_position": 117}, {"identifier": "H87", "position": [13, 19], "step": 117, "ordinal_position": 118}, {"identifier": "D30", "position": [13, 18], "step": 118, "ordinal_position": 119}, {"identifier": "N25", "position": [13, 17], "step": 119, "ordinal_position": 120}, {"identifier": "Q65", "position": [13, 16], "step": 120, "ordinal_position": 121}, {"identifier": "J05", "position": [13, 15], "step": 121, "ordinal_position": 122}, {"identifier": "A35", "position": [12, 15], "step": 122, "ordinal_position": 123}, {"identifier": "V05", "position": [11, 15], "step": 123, "ordinal_position": 124}, {"identifier": "X07", "position": [11, 14], "step": 124, "ordinal_position": 125}, {"identifier": "X50", "position": [11, 13], "step": 125, "ordinal_position": 126}, {"identifier": "O47", "position": [12, 13], "step": 126, "ordinal_position": 127}, {"identifier": "B20", "position": [13, 13], "step": 127, "ordinal_position": 128}, {"identifier": "T74", "position": [14, 13], "step": 128, "ordinal_position": 129}, {"identifier": "S78", "position": [15, 13], "step": 129, "ordinal_position": 130}, {"identifier": "U57", "position": [16, 13], "step": 130, "ordinal_position": 131}, {"identifier": "O53", "position": [17, 13], "step": 131, "ordinal_position": 132}, {"identifier": "K29", "position": [18, 13], "step": 132, "ordinal_position": 133}, {"identifier": "A29", "position": [19, 13], "step": 133, "ordinal_position": 134}, {"identifier": "H64", "position": [19, 14], "step": 134, "ordinal_position": 135}, {"identifier": "R08", "position": [19, 15], "step": 135, "ordinal_position": 136}, {"identifier": "E53", "position": [18, 15], "step": 136, "ordinal_position": 137}, {"identifier": "N17", "position": [17, 15], "step": 137, "ordinal_position": 138}, {"identifier": "B19", "position": [16, 15], "step": 138, "ordinal_position": 139}, {"identifier": "F30", "position": [15, 15], "step": 139, "ordinal_position": 140}, {"identifier": "T40", "position": [15, 16], "step": 140, "ordinal_position": 141}, {"identifier": "A78", "position": [15, 17], "step": 141, "ordinal_position": 142}, {"identifier": "T47", "position": [16, 17], "step": 142, "ordinal_position": 143}, {"identifier": "D21", "position": [17, 17], "step": 143, "ordinal_position": 144}, {"identifier": "G64", "position": [18, 17], "step": 144, "ordinal_position": 145}, {"identifier": "C68", "position": [19, 17], "step": 145, "ordinal_position": 146}, {"identifier": "M90", "position": [19, 18], "step": 146, "ordinal_position": 147}, {"identifier": "L65", "position": [19, 19], "step": 147, "ordinal_position": 148}, {"identifier": "U31", "position": [18, 19], "step": 148, "ordinal_position": 149}, {"identifier": "K37", "position": [17, 19], "step": 149, "ordinal_position": 150}, {"identifier": "N31", "position": [16, 19], "step": 150, "ordinal_position": 151}, {"identifier": "M32", "position": [15, 19], "step": 151, "ordinal_position": 152}, {"identifier": "U07", "position": [14, 19], "step": 152, "ordinal_position": 153}, {"identifier": "H87", "position": [13, 19], "step": 153, "ordinal_position": 154}, {"identifier": "D30", "position": [13, 18], "step": 154, "ordinal_position": 155}, {"identifier": "N25", "position": [13, 17], "step": 155, "ordinal_position": 156}, {"identifier": "Q65", "position": [13, 16], "step": 156, "ordinal_position": 157}, {"identifier": "J05", "position": [13, 15], "step": 157, "ordinal_position": 158}, {"identifier": "A35", "position": [12, 15], "step": 158, "ordinal_position": 159}, {"identifier": "V05", "position": [11, 15], "step": 159, "ordinal_position": 160}, {"identifier": "X07", "position": [11, 14], "step": 160, "ordinal_position": 161}, {"identifier": "X50", "position": [11, 13], "step": 161, "ordinal_position": 162}, {"identifier": "O47", "position": [12, 13], "step": 162, "ordinal_position": 163}, {"identifier": "B20", "position": [13, 13], "step": 163, "ordinal_position": 164}, {"identifier": "T74", "position": [14, 13], "step": 164, "ordinal_position": 165}, {"identifier": "S78", "position": [15, 13], "step": 165, "ordinal_position": 166}, {"identifier": "U57", "position": [16, 13], "step": 166, "ordinal_position": 167}, {"identifier": "O53", "position": [17, 13], "step": 167, "ordinal_position": 168}, {"identifier": "K29", "position": [18, 13], "step": 168, "ordinal_position": 169}, {"identifier": "A29", "position": [19, 13], "step": 169, "ordinal_position": 170}, {"identifier": "H64", "position": [19, 14], "step": 170, "ordinal_position": 171}, {"identifier": "R08", "position": [19, 15], "step": 171, "ordinal_position": 172}, {"identifier": "E53", "position": [18, 15], "step": 172, "ordinal_position": 173}, {"identifier": "N17", "position": [17, 15], "step": 173, "ordinal_position": 174}, {"identifier": "B19", "position": [16, 15], "step": 174, "ordinal_position": 175}, {"identifier": "F30", "position": [15, 15], "step": 175, "ordinal_position": 176}, {"identifier": "T40", "position": [15, 16], "step": 176, "ordinal_position": 177}, {"identifier": "A78", "position": [15, 17], "step": 177, "ordinal_position": 178}, {"identifier": "T47", "position": [16, 17], "step": 178, "ordinal_position": 179}, {"identifier": "D21", "position": [17, 17], "step": 179, "ordinal_position": 180}, {"identifier": "G64", "position": [18, 17], "step": 180, "ordinal_position": 181}, {"identifier": "C68", "position": [19, 17], "step": 181, "ordinal_position": 182}, {"identifier": "M90", "position": [19, 18], "step": 182, "ordinal_position": 183}, {"identifier": "L65", "position": [19, 19], "step": 183, "ordinal_position": 184}, {"identifier": "U31", "position": [18, 19], "step": 184, "ordinal_position": 185}, {"identifier": "K37", "position": [17, 19], "step": 185, "ordinal_position": 186}, {"identifier": "N31", "position": [16, 19], "step": 186, "ordinal_position": 187}, {"identifier": "M32", "position": [15, 19], "step": 187, "ordinal_position": 188}, {"identifier": "U07", "position": [14, 19], "step": 188, "ordinal_position": 189}, {"identifier": "H87", "position": [13, 19], "step": 189, "ordinal_position": 190}, {"identifier": "D30", "position": [13, 18], "step": 190, "ordinal_position": 191}, {"identifier": "N25", "position": [13, 17], "step": 191, "ordinal_position": 192}, {"identifier": "Q65", "position": [13, 16], "step": 192, "ordinal_position": 193}, {"identifier": "J05", "position": [13, 15], "step": 193, "ordinal_position": 194}, {"identifier": "A35", "position": [12, 15], "step": 194, "ordinal_position": 195}, {"identifier": "V05", "position": [11, 15], "step": 195, "ordinal_position": 196}, {"identifier": "X07", "position": [11, 14], "step": 196, "ordinal_position": 197}, {"identifier": "X50", "position": [11, 13], "step": 197, "ordinal_position": 198}, {"identifier": "O47", "position": [12, 13], "step": 198, "ordinal_position": 199}, {"identifier": "B20", "position": [13, 13], "step": 199, "ordinal_position": 200}, {"identifier": "T74", "position": [14, 13], "step": 200, "ordinal_position": 201}, {"identifier": "S78", "position": [15, 13], "step": 201, "ordinal_position": 202}, {"identifier": "U57", "position": [16, 13], "step": 202, "ordinal_position": 203}, {"identifier": "O53", "position": [17, 13], "step": 203, "ordinal_position": 204}, {"identifier": "K29", "position": [18, 13], "step": 204, "ordinal_position": 205}, {"identifier": "A29", "position": [19, 13], "step": 205, "ordinal_position": 206}, {"identifier": "H64", "position": [19, 14], "step": 206, "ordinal_position": 207}, {"identifier": "R08", "position": [19, 15], "step": 207, "ordinal_position": 208}, {"identifier": "E53", "position": [18, 15], "step": 208, "ordinal_position": 209}, {"identifier": "N17", "position": [17, 15], "step": 209, "ordinal_position": 210}, {"identifier": "B19", "position": [16, 15], "step": 210, "ordinal_position": 211}, {"identifier": "F30", "position": [15, 15], "step": 211, "ordinal_position": 212}, {"identifier": "T40", "position": [15, 16], "step": 212, "ordinal_position": 213}, {"identifier": "A78", "position": [15, 17], "step": 213, "ordinal_position": 214}, {"identifier": "T47", "position": [16, 17], "step": 214, "ordinal_position": 215}, {"identifier": "D21", "position": [17, 17], "step": 215, "ordinal_position": 216}, {"identifier": "G64", "position": [18, 17], "step": 216, "ordinal_position": 217}, {"identifier": "C68", "position": [19, 17], "step": 217, "ordinal_position": 218}, {"identifier": "M90", "position": [19, 18], "step": 218, "ordinal_position": 219}, {"identifier": "L65", "position": [19, 19], "step": 219, "ordinal_position": 220}, {"identifier": "U31", "position": [18, 19], "step": 220, "ordinal_position": 221}, {"identifier": "K37", "position": [17, 19], "step": 221, "ordinal_position": 222}, {"identifier": "N31", "position": [16, 19], "step": 222, "ordinal_position": 223}, {"identifier": "M32", "position": [15, 19], "step": 223, "ordinal_position": 224}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 224, "direction": "left", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_009.json"}} {"qa_id": "7d701d60bf7d4432846fa5bb3e4e0281", "image_id": "L3-MazeLoop-test_21x21_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C85, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "C85", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "K01", "traversal_path": [{"identifier": "C85", "position": [9, 5], "step": 0, "ordinal_position": 1}, {"identifier": "J86", "position": [10, 5], "step": 1, "ordinal_position": 2}, {"identifier": "Z68", "position": [11, 5], "step": 2, "ordinal_position": 3}, {"identifier": "H96", "position": [11, 4], "step": 3, "ordinal_position": 4}, {"identifier": "X10", "position": [11, 3], "step": 4, "ordinal_position": 5}, {"identifier": "Q05", "position": [12, 3], "step": 5, "ordinal_position": 6}, {"identifier": "K01", "position": [13, 3], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 7, "direction": "right", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_010.json"}} {"qa_id": "fc2bd051dd854602aa1947c50a4e9a58", "image_id": "L3-MazeLoop-test_21x21_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y23, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 17th position in this traversal?", "start_object_id": "Y23", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [17], "ordinal_strings": ["17th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "S29", "traversal_path": [{"identifier": "Y23", "position": [16, 11], "step": 0, "ordinal_position": 1}, {"identifier": "H60", "position": [15, 11], "step": 1, "ordinal_position": 2}, {"identifier": "B27", "position": [14, 11], "step": 2, "ordinal_position": 3}, {"identifier": "O55", "position": [13, 11], "step": 3, "ordinal_position": 4}, {"identifier": "H23", "position": [13, 12], "step": 4, "ordinal_position": 5}, {"identifier": "B69", "position": [13, 13], "step": 5, "ordinal_position": 6}, {"identifier": "O06", "position": [13, 14], "step": 6, "ordinal_position": 7}, {"identifier": "E80", "position": [13, 15], "step": 7, "ordinal_position": 8}, {"identifier": "R34", "position": [13, 16], "step": 8, "ordinal_position": 9}, {"identifier": "D18", "position": [13, 17], "step": 9, "ordinal_position": 10}, {"identifier": "Y30", "position": [12, 17], "step": 10, "ordinal_position": 11}, {"identifier": "V02", "position": [11, 17], "step": 11, "ordinal_position": 12}, {"identifier": "G46", "position": [10, 17], "step": 12, "ordinal_position": 13}, {"identifier": "U45", "position": [9, 17], "step": 13, "ordinal_position": 14}, {"identifier": "G47", "position": [9, 18], "step": 14, "ordinal_position": 15}, {"identifier": "X12", "position": [9, 19], "step": 15, "ordinal_position": 16}, {"identifier": "S29", "position": [10, 19], "step": 16, "ordinal_position": 17}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 17, "direction": "left", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_010.json"}} {"qa_id": "08eef35ef4ed4998b0e89a5972297396", "image_id": "L3-MazeLoop-test_21x21_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y82, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 12th position in this traversal?", "start_object_id": "Y82", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [12], "ordinal_strings": ["12th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "G47", "traversal_path": [{"identifier": "Y82", "position": [19, 19], "step": 0, "ordinal_position": 1}, {"identifier": "X63", "position": [18, 19], "step": 1, "ordinal_position": 2}, {"identifier": "O14", "position": [17, 19], "step": 2, "ordinal_position": 3}, {"identifier": "P64", "position": [16, 19], "step": 3, "ordinal_position": 4}, {"identifier": "V98", "position": [15, 19], "step": 4, "ordinal_position": 5}, {"identifier": "Y69", "position": [14, 19], "step": 5, "ordinal_position": 6}, {"identifier": "M04", "position": [13, 19], "step": 6, "ordinal_position": 7}, {"identifier": "D64", "position": [12, 19], "step": 7, "ordinal_position": 8}, {"identifier": "U90", "position": [11, 19], "step": 8, "ordinal_position": 9}, {"identifier": "S29", "position": [10, 19], "step": 9, "ordinal_position": 10}, {"identifier": "X12", "position": [9, 19], "step": 10, "ordinal_position": 11}, {"identifier": "G47", "position": [9, 18], "step": 11, "ordinal_position": 12}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 12, "direction": "left", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_010.json"}} {"qa_id": "21642a5673f644eca783c3785dcdd47f", "image_id": "L3-MazeLoop-test_21x21_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M60, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 15th position in this traversal?", "start_object_id": "M60", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [15], "ordinal_strings": ["15th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "O25", "traversal_path": [{"identifier": "M60", "position": [1, 2], "step": 0, "ordinal_position": 1}, {"identifier": "Q26", "position": [1, 1], "step": 1, "ordinal_position": 2}, {"identifier": "N44", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "A66", "position": [3, 1], "step": 3, "ordinal_position": 4}, {"identifier": "P40", "position": [3, 2], "step": 4, "ordinal_position": 5}, {"identifier": "T76", "position": [3, 3], "step": 5, "ordinal_position": 6}, {"identifier": "O25", "position": [2, 3], "step": 6, "ordinal_position": 7}, {"identifier": "Z69", "position": [1, 3], "step": 7, "ordinal_position": 8}, {"identifier": "M60", "position": [1, 2], "step": 8, "ordinal_position": 9}, {"identifier": "Q26", "position": [1, 1], "step": 9, "ordinal_position": 10}, {"identifier": "N44", "position": [2, 1], "step": 10, "ordinal_position": 11}, {"identifier": "A66", "position": [3, 1], "step": 11, "ordinal_position": 12}, {"identifier": "P40", "position": [3, 2], "step": 12, "ordinal_position": 13}, {"identifier": "T76", "position": [3, 3], "step": 13, "ordinal_position": 14}, {"identifier": "O25", "position": [2, 3], "step": 14, "ordinal_position": 15}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 15, "direction": "up", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_010.json"}} {"qa_id": "b869ca20c613463893dcf7b55fca78c6", "image_id": "L3-MazeLoop-test_21x21_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z69, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "Z69", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "A66", "traversal_path": [{"identifier": "Z69", "position": [1, 3], "step": 0, "ordinal_position": 1}, {"identifier": "O25", "position": [2, 3], "step": 1, "ordinal_position": 2}, {"identifier": "T76", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "P40", "position": [3, 2], "step": 3, "ordinal_position": 4}, {"identifier": "A66", "position": [3, 1], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 5, "direction": "right", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_010.json"}} {"qa_id": "c536a1bd51194e7aa819b7fa3fdce1f2", "image_id": "L3-MazeLoop-test_21x21_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S33, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 58th position in this traversal?", "start_object_id": "S33", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [58], "ordinal_strings": ["58th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "E80", "traversal_path": [{"identifier": "S33", "position": [19, 12], "step": 0, "ordinal_position": 1}, {"identifier": "X32", "position": [19, 13], "step": 1, "ordinal_position": 2}, {"identifier": "U93", "position": [19, 14], "step": 2, "ordinal_position": 3}, {"identifier": "O24", "position": [19, 15], "step": 3, "ordinal_position": 4}, {"identifier": "W75", "position": [19, 16], "step": 4, "ordinal_position": 5}, {"identifier": "D90", "position": [19, 17], "step": 5, "ordinal_position": 6}, {"identifier": "H09", "position": [19, 18], "step": 6, "ordinal_position": 7}, {"identifier": "Y82", "position": [19, 19], "step": 7, "ordinal_position": 8}, {"identifier": "X63", "position": [18, 19], "step": 8, "ordinal_position": 9}, {"identifier": "O14", "position": [17, 19], "step": 9, "ordinal_position": 10}, {"identifier": "P64", "position": [16, 19], "step": 10, "ordinal_position": 11}, {"identifier": "V98", "position": [15, 19], "step": 11, "ordinal_position": 12}, {"identifier": "Y69", "position": [14, 19], "step": 12, "ordinal_position": 13}, {"identifier": "M04", "position": [13, 19], "step": 13, "ordinal_position": 14}, {"identifier": "D64", "position": [12, 19], "step": 14, "ordinal_position": 15}, {"identifier": "U90", "position": [11, 19], "step": 15, "ordinal_position": 16}, {"identifier": "S29", "position": [10, 19], "step": 16, "ordinal_position": 17}, {"identifier": "X12", "position": [9, 19], "step": 17, "ordinal_position": 18}, {"identifier": "G47", "position": [9, 18], "step": 18, "ordinal_position": 19}, {"identifier": "U45", "position": [9, 17], "step": 19, "ordinal_position": 20}, {"identifier": "G46", "position": [10, 17], "step": 20, "ordinal_position": 21}, {"identifier": "V02", "position": [11, 17], "step": 21, "ordinal_position": 22}, {"identifier": "Y30", "position": [12, 17], "step": 22, "ordinal_position": 23}, {"identifier": "D18", "position": [13, 17], "step": 23, "ordinal_position": 24}, {"identifier": "N42", "position": [14, 17], "step": 24, "ordinal_position": 25}, {"identifier": "G90", "position": [15, 17], "step": 25, "ordinal_position": 26}, {"identifier": "E84", "position": [15, 16], "step": 26, "ordinal_position": 27}, {"identifier": "C04", "position": [15, 15], "step": 27, "ordinal_position": 28}, {"identifier": "B52", "position": [15, 14], "step": 28, "ordinal_position": 29}, {"identifier": "Q21", "position": [15, 13], "step": 29, "ordinal_position": 30}, {"identifier": "N89", "position": [14, 13], "step": 30, "ordinal_position": 31}, {"identifier": "B69", "position": [13, 13], "step": 31, "ordinal_position": 32}, {"identifier": "O06", "position": [13, 14], "step": 32, "ordinal_position": 33}, {"identifier": "E80", "position": [13, 15], "step": 33, "ordinal_position": 34}, {"identifier": "R34", "position": [13, 16], "step": 34, "ordinal_position": 35}, {"identifier": "D18", "position": [13, 17], "step": 35, "ordinal_position": 36}, {"identifier": "N42", "position": [14, 17], "step": 36, "ordinal_position": 37}, {"identifier": "G90", "position": [15, 17], "step": 37, "ordinal_position": 38}, {"identifier": "E84", "position": [15, 16], "step": 38, "ordinal_position": 39}, {"identifier": "C04", "position": [15, 15], "step": 39, "ordinal_position": 40}, {"identifier": "B52", "position": [15, 14], "step": 40, "ordinal_position": 41}, {"identifier": "Q21", "position": [15, 13], "step": 41, "ordinal_position": 42}, {"identifier": "N89", "position": [14, 13], "step": 42, "ordinal_position": 43}, {"identifier": "B69", "position": [13, 13], "step": 43, "ordinal_position": 44}, {"identifier": "O06", "position": [13, 14], "step": 44, "ordinal_position": 45}, {"identifier": "E80", "position": [13, 15], "step": 45, "ordinal_position": 46}, {"identifier": "R34", "position": [13, 16], "step": 46, "ordinal_position": 47}, {"identifier": "D18", "position": [13, 17], "step": 47, "ordinal_position": 48}, {"identifier": "N42", "position": [14, 17], "step": 48, "ordinal_position": 49}, {"identifier": "G90", "position": [15, 17], "step": 49, "ordinal_position": 50}, {"identifier": "E84", "position": [15, 16], "step": 50, "ordinal_position": 51}, {"identifier": "C04", "position": [15, 15], "step": 51, "ordinal_position": 52}, {"identifier": "B52", "position": [15, 14], "step": 52, "ordinal_position": 53}, {"identifier": "Q21", "position": [15, 13], "step": 53, "ordinal_position": 54}, {"identifier": "N89", "position": [14, 13], "step": 54, "ordinal_position": 55}, {"identifier": "B69", "position": [13, 13], "step": 55, "ordinal_position": 56}, {"identifier": "O06", "position": [13, 14], "step": 56, "ordinal_position": 57}, {"identifier": "E80", "position": [13, 15], "step": 57, "ordinal_position": 58}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 58, "direction": "down", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_010.json"}} {"qa_id": "9917d8863a7d4526b5b23dd04e571f9a", "image_id": "L3-MazeLoop-test_21x21_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B69, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 87th position in this traversal?", "start_object_id": "B69", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [87], "ordinal_strings": ["87th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "R36", "traversal_path": [{"identifier": "B69", "position": [13, 13], "step": 0, "ordinal_position": 1}, {"identifier": "N89", "position": [14, 13], "step": 1, "ordinal_position": 2}, {"identifier": "Q21", "position": [15, 13], "step": 2, "ordinal_position": 3}, {"identifier": "B52", "position": [15, 14], "step": 3, "ordinal_position": 4}, {"identifier": "C04", "position": [15, 15], "step": 4, "ordinal_position": 5}, {"identifier": "E84", "position": [15, 16], "step": 5, "ordinal_position": 6}, {"identifier": "G90", "position": [15, 17], "step": 6, "ordinal_position": 7}, {"identifier": "N42", "position": [14, 17], "step": 7, "ordinal_position": 8}, {"identifier": "D18", "position": [13, 17], "step": 8, "ordinal_position": 9}, {"identifier": "Y30", "position": [12, 17], "step": 9, "ordinal_position": 10}, {"identifier": "V02", "position": [11, 17], "step": 10, "ordinal_position": 11}, {"identifier": "G46", "position": [10, 17], "step": 11, "ordinal_position": 12}, {"identifier": "U45", "position": [9, 17], "step": 12, "ordinal_position": 13}, {"identifier": "G47", "position": [9, 18], "step": 13, "ordinal_position": 14}, {"identifier": "X12", "position": [9, 19], "step": 14, "ordinal_position": 15}, {"identifier": "S29", "position": [10, 19], "step": 15, "ordinal_position": 16}, {"identifier": "U90", "position": [11, 19], "step": 16, "ordinal_position": 17}, {"identifier": "D64", "position": [12, 19], "step": 17, "ordinal_position": 18}, {"identifier": "M04", "position": [13, 19], "step": 18, "ordinal_position": 19}, {"identifier": "Y69", "position": [14, 19], "step": 19, "ordinal_position": 20}, {"identifier": "V98", "position": [15, 19], "step": 20, "ordinal_position": 21}, {"identifier": "P64", "position": [16, 19], "step": 21, "ordinal_position": 22}, {"identifier": "O14", "position": [17, 19], "step": 22, "ordinal_position": 23}, {"identifier": "X63", "position": [18, 19], "step": 23, "ordinal_position": 24}, {"identifier": "Y82", "position": [19, 19], "step": 24, "ordinal_position": 25}, {"identifier": "H09", "position": [19, 18], "step": 25, "ordinal_position": 26}, {"identifier": "D90", "position": [19, 17], "step": 26, "ordinal_position": 27}, {"identifier": "W75", "position": [19, 16], "step": 27, "ordinal_position": 28}, {"identifier": "O24", "position": [19, 15], "step": 28, "ordinal_position": 29}, {"identifier": "U93", "position": [19, 14], "step": 29, "ordinal_position": 30}, {"identifier": "X32", "position": [19, 13], "step": 30, "ordinal_position": 31}, {"identifier": "S33", "position": [19, 12], "step": 31, "ordinal_position": 32}, {"identifier": "W86", "position": [19, 11], "step": 32, "ordinal_position": 33}, {"identifier": "H63", "position": [19, 10], "step": 33, "ordinal_position": 34}, {"identifier": "V39", "position": [19, 9], "step": 34, "ordinal_position": 35}, {"identifier": "H17", "position": [19, 8], "step": 35, "ordinal_position": 36}, {"identifier": "D96", "position": [19, 7], "step": 36, "ordinal_position": 37}, {"identifier": "N98", "position": [18, 7], "step": 37, "ordinal_position": 38}, {"identifier": "Z75", "position": [17, 7], "step": 38, "ordinal_position": 39}, {"identifier": "V85", "position": [17, 6], "step": 39, "ordinal_position": 40}, {"identifier": "X67", "position": [17, 5], "step": 40, "ordinal_position": 41}, {"identifier": "W77", "position": [18, 5], "step": 41, "ordinal_position": 42}, {"identifier": "T17", "position": [19, 5], "step": 42, "ordinal_position": 43}, {"identifier": "K79", "position": [19, 4], "step": 43, "ordinal_position": 44}, {"identifier": "S99", "position": [19, 3], "step": 44, "ordinal_position": 45}, {"identifier": "R73", "position": [19, 2], "step": 45, "ordinal_position": 46}, {"identifier": "O76", "position": [19, 1], "step": 46, "ordinal_position": 47}, {"identifier": "C44", "position": [18, 1], "step": 47, "ordinal_position": 48}, {"identifier": "I50", "position": [17, 1], "step": 48, "ordinal_position": 49}, {"identifier": "Q73", "position": [16, 1], "step": 49, "ordinal_position": 50}, {"identifier": "N19", "position": [15, 1], "step": 50, "ordinal_position": 51}, {"identifier": "S21", "position": [15, 2], "step": 51, "ordinal_position": 52}, {"identifier": "R37", "position": [15, 3], "step": 52, "ordinal_position": 53}, {"identifier": "R31", "position": [15, 4], "step": 53, "ordinal_position": 54}, {"identifier": "D02", "position": [15, 5], "step": 54, "ordinal_position": 55}, {"identifier": "T28", "position": [15, 6], "step": 55, "ordinal_position": 56}, {"identifier": "Y49", "position": [15, 7], "step": 56, "ordinal_position": 57}, {"identifier": "S49", "position": [14, 7], "step": 57, "ordinal_position": 58}, {"identifier": "T53", "position": [13, 7], "step": 58, "ordinal_position": 59}, {"identifier": "J62", "position": [12, 7], "step": 59, "ordinal_position": 60}, {"identifier": "Y99", "position": [11, 7], "step": 60, "ordinal_position": 61}, {"identifier": "C87", "position": [10, 7], "step": 61, "ordinal_position": 62}, {"identifier": "X52", "position": [9, 7], "step": 62, "ordinal_position": 63}, {"identifier": "O92", "position": [8, 7], "step": 63, "ordinal_position": 64}, {"identifier": "O15", "position": [7, 7], "step": 64, "ordinal_position": 65}, {"identifier": "P82", "position": [7, 6], "step": 65, "ordinal_position": 66}, {"identifier": "R36", "position": [7, 5], "step": 66, "ordinal_position": 67}, {"identifier": "H81", "position": [8, 5], "step": 67, "ordinal_position": 68}, {"identifier": "C85", "position": [9, 5], "step": 68, "ordinal_position": 69}, {"identifier": "J86", "position": [10, 5], "step": 69, "ordinal_position": 70}, {"identifier": "Z68", "position": [11, 5], "step": 70, "ordinal_position": 71}, {"identifier": "H96", "position": [11, 4], "step": 71, "ordinal_position": 72}, {"identifier": "X10", "position": [11, 3], "step": 72, "ordinal_position": 73}, {"identifier": "Q05", "position": [12, 3], "step": 73, "ordinal_position": 74}, {"identifier": "K01", "position": [13, 3], "step": 74, "ordinal_position": 75}, {"identifier": "S71", "position": [13, 4], "step": 75, "ordinal_position": 76}, {"identifier": "Y62", "position": [13, 5], "step": 76, "ordinal_position": 77}, {"identifier": "E74", "position": [13, 6], "step": 77, "ordinal_position": 78}, {"identifier": "T53", "position": [13, 7], "step": 78, "ordinal_position": 79}, {"identifier": "J62", "position": [12, 7], "step": 79, "ordinal_position": 80}, {"identifier": "Y99", "position": [11, 7], "step": 80, "ordinal_position": 81}, {"identifier": "C87", "position": [10, 7], "step": 81, "ordinal_position": 82}, {"identifier": "X52", "position": [9, 7], "step": 82, "ordinal_position": 83}, {"identifier": "O92", "position": [8, 7], "step": 83, "ordinal_position": 84}, {"identifier": "O15", "position": [7, 7], "step": 84, "ordinal_position": 85}, {"identifier": "P82", "position": [7, 6], "step": 85, "ordinal_position": 86}, {"identifier": "R36", "position": [7, 5], "step": 86, "ordinal_position": 87}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 87, "direction": "right", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_010.json"}} {"qa_id": "746a1e11246642dcb4fe142ff15c549f", "image_id": "L3-MazeLoop-test_21x21_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J14, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 76th position in this traversal?", "start_object_id": "J14", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [76], "ordinal_strings": ["76th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "T53", "traversal_path": [{"identifier": "J14", "position": [7, 10], "step": 0, "ordinal_position": 1}, {"identifier": "D43", "position": [7, 11], "step": 1, "ordinal_position": 2}, {"identifier": "L76", "position": [7, 12], "step": 2, "ordinal_position": 3}, {"identifier": "Q27", "position": [7, 13], "step": 3, "ordinal_position": 4}, {"identifier": "N29", "position": [6, 13], "step": 4, "ordinal_position": 5}, {"identifier": "T42", "position": [5, 13], "step": 5, "ordinal_position": 6}, {"identifier": "J00", "position": [4, 13], "step": 6, "ordinal_position": 7}, {"identifier": "C05", "position": [3, 13], "step": 7, "ordinal_position": 8}, {"identifier": "P03", "position": [3, 14], "step": 8, "ordinal_position": 9}, {"identifier": "S08", "position": [3, 15], "step": 9, "ordinal_position": 10}, {"identifier": "Y89", "position": [4, 15], "step": 10, "ordinal_position": 11}, {"identifier": "X11", "position": [5, 15], "step": 11, "ordinal_position": 12}, {"identifier": "A31", "position": [5, 16], "step": 12, "ordinal_position": 13}, {"identifier": "U78", "position": [5, 17], "step": 13, "ordinal_position": 14}, {"identifier": "Y74", "position": [5, 18], "step": 14, "ordinal_position": 15}, {"identifier": "R47", "position": [5, 19], "step": 15, "ordinal_position": 16}, {"identifier": "B95", "position": [4, 19], "step": 16, "ordinal_position": 17}, {"identifier": "E08", "position": [3, 19], "step": 17, "ordinal_position": 18}, {"identifier": "K89", "position": [2, 19], "step": 18, "ordinal_position": 19}, {"identifier": "Q07", "position": [1, 19], "step": 19, "ordinal_position": 20}, {"identifier": "X42", "position": [1, 18], "step": 20, "ordinal_position": 21}, {"identifier": "E05", "position": [1, 17], "step": 21, "ordinal_position": 22}, {"identifier": "I18", "position": [1, 16], "step": 22, "ordinal_position": 23}, {"identifier": "X68", "position": [1, 15], "step": 23, "ordinal_position": 24}, {"identifier": "X34", "position": [1, 14], "step": 24, "ordinal_position": 25}, {"identifier": "I54", "position": [1, 13], "step": 25, "ordinal_position": 26}, {"identifier": "P31", "position": [1, 12], "step": 26, "ordinal_position": 27}, {"identifier": "V75", "position": [1, 11], "step": 27, "ordinal_position": 28}, {"identifier": "V00", "position": [2, 11], "step": 28, "ordinal_position": 29}, {"identifier": "M39", "position": [3, 11], "step": 29, "ordinal_position": 30}, {"identifier": "R22", "position": [4, 11], "step": 30, "ordinal_position": 31}, {"identifier": "D97", "position": [5, 11], "step": 31, "ordinal_position": 32}, {"identifier": "Y81", "position": [5, 10], "step": 32, "ordinal_position": 33}, {"identifier": "A50", "position": [5, 9], "step": 33, "ordinal_position": 34}, {"identifier": "C26", "position": [5, 8], "step": 34, "ordinal_position": 35}, {"identifier": "I92", "position": [5, 7], "step": 35, "ordinal_position": 36}, {"identifier": "C18", "position": [5, 6], "step": 36, "ordinal_position": 37}, {"identifier": "G89", "position": [5, 5], "step": 37, "ordinal_position": 38}, {"identifier": "Q34", "position": [5, 4], "step": 38, "ordinal_position": 39}, {"identifier": "G24", "position": [5, 3], "step": 39, "ordinal_position": 40}, {"identifier": "J37", "position": [5, 2], "step": 40, "ordinal_position": 41}, {"identifier": "H72", "position": [5, 1], "step": 41, "ordinal_position": 42}, {"identifier": "R02", "position": [6, 1], "step": 42, "ordinal_position": 43}, {"identifier": "B49", "position": [7, 1], "step": 43, "ordinal_position": 44}, {"identifier": "W11", "position": [8, 1], "step": 44, "ordinal_position": 45}, {"identifier": "Y97", "position": [9, 1], "step": 45, "ordinal_position": 46}, {"identifier": "B06", "position": [10, 1], "step": 46, "ordinal_position": 47}, {"identifier": "G77", "position": [11, 1], "step": 47, "ordinal_position": 48}, {"identifier": "N38", "position": [12, 1], "step": 48, "ordinal_position": 49}, {"identifier": "L90", "position": [13, 1], "step": 49, "ordinal_position": 50}, {"identifier": "D61", "position": [13, 2], "step": 50, "ordinal_position": 51}, {"identifier": "K01", "position": [13, 3], "step": 51, "ordinal_position": 52}, {"identifier": "S71", "position": [13, 4], "step": 52, "ordinal_position": 53}, {"identifier": "Y62", "position": [13, 5], "step": 53, "ordinal_position": 54}, {"identifier": "E74", "position": [13, 6], "step": 54, "ordinal_position": 55}, {"identifier": "T53", "position": [13, 7], "step": 55, "ordinal_position": 56}, {"identifier": "J62", "position": [12, 7], "step": 56, "ordinal_position": 57}, {"identifier": "Y99", "position": [11, 7], "step": 57, "ordinal_position": 58}, {"identifier": "C87", "position": [10, 7], "step": 58, "ordinal_position": 59}, {"identifier": "X52", "position": [9, 7], "step": 59, "ordinal_position": 60}, {"identifier": "O92", "position": [8, 7], "step": 60, "ordinal_position": 61}, {"identifier": "O15", "position": [7, 7], "step": 61, "ordinal_position": 62}, {"identifier": "P82", "position": [7, 6], "step": 62, "ordinal_position": 63}, {"identifier": "R36", "position": [7, 5], "step": 63, "ordinal_position": 64}, {"identifier": "H81", "position": [8, 5], "step": 64, "ordinal_position": 65}, {"identifier": "C85", "position": [9, 5], "step": 65, "ordinal_position": 66}, {"identifier": "J86", "position": [10, 5], "step": 66, "ordinal_position": 67}, {"identifier": "Z68", "position": [11, 5], "step": 67, "ordinal_position": 68}, {"identifier": "H96", "position": [11, 4], "step": 68, "ordinal_position": 69}, {"identifier": "X10", "position": [11, 3], "step": 69, "ordinal_position": 70}, {"identifier": "Q05", "position": [12, 3], "step": 70, "ordinal_position": 71}, {"identifier": "K01", "position": [13, 3], "step": 71, "ordinal_position": 72}, {"identifier": "S71", "position": [13, 4], "step": 72, "ordinal_position": 73}, {"identifier": "Y62", "position": [13, 5], "step": 73, "ordinal_position": 74}, {"identifier": "E74", "position": [13, 6], "step": 74, "ordinal_position": 75}, {"identifier": "T53", "position": [13, 7], "step": 75, "ordinal_position": 76}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 76, "direction": "down", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_010.json"}} {"qa_id": "174e5d57148c4116b52dbd5007e6d349", "image_id": "L3-MazeLoop-test_21x21_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D97, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 30th position in this traversal?", "start_object_id": "D97", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [30], "ordinal_strings": ["30th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Y79", "traversal_path": [{"identifier": "D97", "position": [5, 11], "step": 0, "ordinal_position": 1}, {"identifier": "R22", "position": [4, 11], "step": 1, "ordinal_position": 2}, {"identifier": "M39", "position": [3, 11], "step": 2, "ordinal_position": 3}, {"identifier": "V00", "position": [2, 11], "step": 3, "ordinal_position": 4}, {"identifier": "V75", "position": [1, 11], "step": 4, "ordinal_position": 5}, {"identifier": "P31", "position": [1, 12], "step": 5, "ordinal_position": 6}, {"identifier": "I54", "position": [1, 13], "step": 6, "ordinal_position": 7}, {"identifier": "X34", "position": [1, 14], "step": 7, "ordinal_position": 8}, {"identifier": "X68", "position": [1, 15], "step": 8, "ordinal_position": 9}, {"identifier": "I18", "position": [1, 16], "step": 9, "ordinal_position": 10}, {"identifier": "E05", "position": [1, 17], "step": 10, "ordinal_position": 11}, {"identifier": "X42", "position": [1, 18], "step": 11, "ordinal_position": 12}, {"identifier": "Q07", "position": [1, 19], "step": 12, "ordinal_position": 13}, {"identifier": "K89", "position": [2, 19], "step": 13, "ordinal_position": 14}, {"identifier": "E08", "position": [3, 19], "step": 14, "ordinal_position": 15}, {"identifier": "B95", "position": [4, 19], "step": 15, "ordinal_position": 16}, {"identifier": "R47", "position": [5, 19], "step": 16, "ordinal_position": 17}, {"identifier": "C12", "position": [6, 19], "step": 17, "ordinal_position": 18}, {"identifier": "H02", "position": [7, 19], "step": 18, "ordinal_position": 19}, {"identifier": "V37", "position": [7, 18], "step": 19, "ordinal_position": 20}, {"identifier": "G66", "position": [7, 17], "step": 20, "ordinal_position": 21}, {"identifier": "X87", "position": [7, 16], "step": 21, "ordinal_position": 22}, {"identifier": "O29", "position": [7, 15], "step": 22, "ordinal_position": 23}, {"identifier": "X81", "position": [8, 15], "step": 23, "ordinal_position": 24}, {"identifier": "Q24", "position": [9, 15], "step": 24, "ordinal_position": 25}, {"identifier": "M73", "position": [10, 15], "step": 25, "ordinal_position": 26}, {"identifier": "Y47", "position": [11, 15], "step": 26, "ordinal_position": 27}, {"identifier": "Z49", "position": [11, 14], "step": 27, "ordinal_position": 28}, {"identifier": "U13", "position": [11, 13], "step": 28, "ordinal_position": 29}, {"identifier": "Y79", "position": [11, 12], "step": 29, "ordinal_position": 30}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 30, "direction": "left", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_010.json"}} {"qa_id": "c95717527fa34b5ab580edf320565f19", "image_id": "L3-MazeLoop-test_21x21_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T11, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 77th position in this traversal?", "start_object_id": "T11", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [77], "ordinal_strings": ["77th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "W90", "traversal_path": [{"identifier": "T11", "position": [11, 11], "step": 0, "ordinal_position": 1}, {"identifier": "L87", "position": [10, 11], "step": 1, "ordinal_position": 2}, {"identifier": "B75", "position": [9, 11], "step": 2, "ordinal_position": 3}, {"identifier": "V41", "position": [9, 12], "step": 3, "ordinal_position": 4}, {"identifier": "W90", "position": [9, 13], "step": 4, "ordinal_position": 5}, {"identifier": "D06", "position": [9, 14], "step": 5, "ordinal_position": 6}, {"identifier": "Q24", "position": [9, 15], "step": 6, "ordinal_position": 7}, {"identifier": "M73", "position": [10, 15], "step": 7, "ordinal_position": 8}, {"identifier": "Y47", "position": [11, 15], "step": 8, "ordinal_position": 9}, {"identifier": "Z49", "position": [11, 14], "step": 9, "ordinal_position": 10}, {"identifier": "U13", "position": [11, 13], "step": 10, "ordinal_position": 11}, {"identifier": "Y79", "position": [11, 12], "step": 11, "ordinal_position": 12}, {"identifier": "T11", "position": [11, 11], "step": 12, "ordinal_position": 13}, {"identifier": "L87", "position": [10, 11], "step": 13, "ordinal_position": 14}, {"identifier": "B75", "position": [9, 11], "step": 14, "ordinal_position": 15}, {"identifier": "V41", "position": [9, 12], "step": 15, "ordinal_position": 16}, {"identifier": "W90", "position": [9, 13], "step": 16, "ordinal_position": 17}, {"identifier": "D06", "position": [9, 14], "step": 17, "ordinal_position": 18}, {"identifier": "Q24", "position": [9, 15], "step": 18, "ordinal_position": 19}, {"identifier": "M73", "position": [10, 15], "step": 19, "ordinal_position": 20}, {"identifier": "Y47", "position": [11, 15], "step": 20, "ordinal_position": 21}, {"identifier": "Z49", "position": [11, 14], "step": 21, "ordinal_position": 22}, {"identifier": "U13", "position": [11, 13], "step": 22, "ordinal_position": 23}, {"identifier": "Y79", "position": [11, 12], "step": 23, "ordinal_position": 24}, {"identifier": "T11", "position": [11, 11], "step": 24, "ordinal_position": 25}, {"identifier": "L87", "position": [10, 11], "step": 25, "ordinal_position": 26}, {"identifier": "B75", "position": [9, 11], "step": 26, "ordinal_position": 27}, {"identifier": "V41", "position": [9, 12], "step": 27, "ordinal_position": 28}, {"identifier": "W90", "position": [9, 13], "step": 28, "ordinal_position": 29}, {"identifier": "D06", "position": [9, 14], "step": 29, "ordinal_position": 30}, {"identifier": "Q24", "position": [9, 15], "step": 30, "ordinal_position": 31}, {"identifier": "M73", "position": [10, 15], "step": 31, "ordinal_position": 32}, {"identifier": "Y47", "position": [11, 15], "step": 32, "ordinal_position": 33}, {"identifier": "Z49", "position": [11, 14], "step": 33, "ordinal_position": 34}, {"identifier": "U13", "position": [11, 13], "step": 34, "ordinal_position": 35}, {"identifier": "Y79", "position": [11, 12], "step": 35, "ordinal_position": 36}, {"identifier": "T11", "position": [11, 11], "step": 36, "ordinal_position": 37}, {"identifier": "L87", "position": [10, 11], "step": 37, "ordinal_position": 38}, {"identifier": "B75", "position": [9, 11], "step": 38, "ordinal_position": 39}, {"identifier": "V41", "position": [9, 12], "step": 39, "ordinal_position": 40}, {"identifier": "W90", "position": [9, 13], "step": 40, "ordinal_position": 41}, {"identifier": "D06", "position": [9, 14], "step": 41, "ordinal_position": 42}, {"identifier": "Q24", "position": [9, 15], "step": 42, "ordinal_position": 43}, {"identifier": "M73", "position": [10, 15], "step": 43, "ordinal_position": 44}, {"identifier": "Y47", "position": [11, 15], "step": 44, "ordinal_position": 45}, {"identifier": "Z49", "position": [11, 14], "step": 45, "ordinal_position": 46}, {"identifier": "U13", "position": [11, 13], "step": 46, "ordinal_position": 47}, {"identifier": "Y79", "position": [11, 12], "step": 47, "ordinal_position": 48}, {"identifier": "T11", "position": [11, 11], "step": 48, "ordinal_position": 49}, {"identifier": "L87", "position": [10, 11], "step": 49, "ordinal_position": 50}, {"identifier": "B75", "position": [9, 11], "step": 50, "ordinal_position": 51}, {"identifier": "V41", "position": [9, 12], "step": 51, "ordinal_position": 52}, {"identifier": "W90", "position": [9, 13], "step": 52, "ordinal_position": 53}, {"identifier": "D06", "position": [9, 14], "step": 53, "ordinal_position": 54}, {"identifier": "Q24", "position": [9, 15], "step": 54, "ordinal_position": 55}, {"identifier": "M73", "position": [10, 15], "step": 55, "ordinal_position": 56}, {"identifier": "Y47", "position": [11, 15], "step": 56, "ordinal_position": 57}, {"identifier": "Z49", "position": [11, 14], "step": 57, "ordinal_position": 58}, {"identifier": "U13", "position": [11, 13], "step": 58, "ordinal_position": 59}, {"identifier": "Y79", "position": [11, 12], "step": 59, "ordinal_position": 60}, {"identifier": "T11", "position": [11, 11], "step": 60, "ordinal_position": 61}, {"identifier": "L87", "position": [10, 11], "step": 61, "ordinal_position": 62}, {"identifier": "B75", "position": [9, 11], "step": 62, "ordinal_position": 63}, {"identifier": "V41", "position": [9, 12], "step": 63, "ordinal_position": 64}, {"identifier": "W90", "position": [9, 13], "step": 64, "ordinal_position": 65}, {"identifier": "D06", "position": [9, 14], "step": 65, "ordinal_position": 66}, {"identifier": "Q24", "position": [9, 15], "step": 66, "ordinal_position": 67}, {"identifier": "M73", "position": [10, 15], "step": 67, "ordinal_position": 68}, {"identifier": "Y47", "position": [11, 15], "step": 68, "ordinal_position": 69}, {"identifier": "Z49", "position": [11, 14], "step": 69, "ordinal_position": 70}, {"identifier": "U13", "position": [11, 13], "step": 70, "ordinal_position": 71}, {"identifier": "Y79", "position": [11, 12], "step": 71, "ordinal_position": 72}, {"identifier": "T11", "position": [11, 11], "step": 72, "ordinal_position": 73}, {"identifier": "L87", "position": [10, 11], "step": 73, "ordinal_position": 74}, {"identifier": "B75", "position": [9, 11], "step": 74, "ordinal_position": 75}, {"identifier": "V41", "position": [9, 12], "step": 75, "ordinal_position": 76}, {"identifier": "W90", "position": [9, 13], "step": 76, "ordinal_position": 77}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 77, "direction": "left", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_010.json"}} {"qa_id": "7262bc8c4f264dbd8a99d650a720bc69", "image_id": "L3-MazeLoop-test_21x21_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J00, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 220th position in this traversal?", "start_object_id": "J00", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [220], "ordinal_strings": ["220th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "W90", "traversal_path": [{"identifier": "J00", "position": [4, 13], "step": 0, "ordinal_position": 1}, {"identifier": "C05", "position": [3, 13], "step": 1, "ordinal_position": 2}, {"identifier": "P03", "position": [3, 14], "step": 2, "ordinal_position": 3}, {"identifier": "S08", "position": [3, 15], "step": 3, "ordinal_position": 4}, {"identifier": "Y89", "position": [4, 15], "step": 4, "ordinal_position": 5}, {"identifier": "X11", "position": [5, 15], "step": 5, "ordinal_position": 6}, {"identifier": "A31", "position": [5, 16], "step": 6, "ordinal_position": 7}, {"identifier": "U78", "position": [5, 17], "step": 7, "ordinal_position": 8}, {"identifier": "Y74", "position": [5, 18], "step": 8, "ordinal_position": 9}, {"identifier": "R47", "position": [5, 19], "step": 9, "ordinal_position": 10}, {"identifier": "C12", "position": [6, 19], "step": 10, "ordinal_position": 11}, {"identifier": "H02", "position": [7, 19], "step": 11, "ordinal_position": 12}, {"identifier": "V37", "position": [7, 18], "step": 12, "ordinal_position": 13}, {"identifier": "G66", "position": [7, 17], "step": 13, "ordinal_position": 14}, {"identifier": "X87", "position": [7, 16], "step": 14, "ordinal_position": 15}, {"identifier": "O29", "position": [7, 15], "step": 15, "ordinal_position": 16}, {"identifier": "X81", "position": [8, 15], "step": 16, "ordinal_position": 17}, {"identifier": "Q24", "position": [9, 15], "step": 17, "ordinal_position": 18}, {"identifier": "M73", "position": [10, 15], "step": 18, "ordinal_position": 19}, {"identifier": "Y47", "position": [11, 15], "step": 19, "ordinal_position": 20}, {"identifier": "Z49", "position": [11, 14], "step": 20, "ordinal_position": 21}, {"identifier": "U13", "position": [11, 13], "step": 21, "ordinal_position": 22}, {"identifier": "Y79", "position": [11, 12], "step": 22, "ordinal_position": 23}, {"identifier": "T11", "position": [11, 11], "step": 23, "ordinal_position": 24}, {"identifier": "L87", "position": [10, 11], "step": 24, "ordinal_position": 25}, {"identifier": "B75", "position": [9, 11], "step": 25, "ordinal_position": 26}, {"identifier": "V41", "position": [9, 12], "step": 26, "ordinal_position": 27}, {"identifier": "W90", "position": [9, 13], "step": 27, "ordinal_position": 28}, {"identifier": "D06", "position": [9, 14], "step": 28, "ordinal_position": 29}, {"identifier": "Q24", "position": [9, 15], "step": 29, "ordinal_position": 30}, {"identifier": "M73", "position": [10, 15], "step": 30, "ordinal_position": 31}, {"identifier": "Y47", "position": [11, 15], "step": 31, "ordinal_position": 32}, {"identifier": "Z49", "position": [11, 14], "step": 32, "ordinal_position": 33}, {"identifier": "U13", "position": [11, 13], "step": 33, "ordinal_position": 34}, {"identifier": "Y79", "position": [11, 12], "step": 34, "ordinal_position": 35}, {"identifier": "T11", "position": [11, 11], "step": 35, "ordinal_position": 36}, {"identifier": "L87", "position": [10, 11], "step": 36, "ordinal_position": 37}, {"identifier": "B75", "position": [9, 11], "step": 37, "ordinal_position": 38}, {"identifier": "V41", "position": [9, 12], "step": 38, "ordinal_position": 39}, {"identifier": "W90", "position": [9, 13], "step": 39, "ordinal_position": 40}, {"identifier": "D06", "position": [9, 14], "step": 40, "ordinal_position": 41}, {"identifier": "Q24", "position": [9, 15], "step": 41, "ordinal_position": 42}, {"identifier": "M73", "position": [10, 15], "step": 42, "ordinal_position": 43}, {"identifier": "Y47", "position": [11, 15], "step": 43, "ordinal_position": 44}, {"identifier": "Z49", "position": [11, 14], "step": 44, "ordinal_position": 45}, {"identifier": "U13", "position": [11, 13], "step": 45, "ordinal_position": 46}, {"identifier": "Y79", "position": [11, 12], "step": 46, "ordinal_position": 47}, {"identifier": "T11", "position": [11, 11], "step": 47, "ordinal_position": 48}, {"identifier": "L87", "position": [10, 11], "step": 48, "ordinal_position": 49}, {"identifier": "B75", "position": [9, 11], "step": 49, "ordinal_position": 50}, {"identifier": "V41", "position": 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"ordinal_position": 196}, {"identifier": "D06", "position": [9, 14], "step": 196, "ordinal_position": 197}, {"identifier": "Q24", "position": [9, 15], "step": 197, "ordinal_position": 198}, {"identifier": "M73", "position": [10, 15], "step": 198, "ordinal_position": 199}, {"identifier": "Y47", "position": [11, 15], "step": 199, "ordinal_position": 200}, {"identifier": "Z49", "position": [11, 14], "step": 200, "ordinal_position": 201}, {"identifier": "U13", "position": [11, 13], "step": 201, "ordinal_position": 202}, {"identifier": "Y79", "position": [11, 12], "step": 202, "ordinal_position": 203}, {"identifier": "T11", "position": [11, 11], "step": 203, "ordinal_position": 204}, {"identifier": "L87", "position": [10, 11], "step": 204, "ordinal_position": 205}, {"identifier": "B75", "position": [9, 11], "step": 205, "ordinal_position": 206}, {"identifier": "V41", "position": [9, 12], "step": 206, "ordinal_position": 207}, {"identifier": "W90", "position": [9, 13], "step": 207, "ordinal_position": 208}, {"identifier": "D06", "position": [9, 14], "step": 208, "ordinal_position": 209}, {"identifier": "Q24", "position": [9, 15], "step": 209, "ordinal_position": 210}, {"identifier": "M73", "position": [10, 15], "step": 210, "ordinal_position": 211}, {"identifier": "Y47", "position": [11, 15], "step": 211, "ordinal_position": 212}, {"identifier": "Z49", "position": [11, 14], "step": 212, "ordinal_position": 213}, {"identifier": "U13", "position": [11, 13], "step": 213, "ordinal_position": 214}, {"identifier": "Y79", "position": [11, 12], "step": 214, "ordinal_position": 215}, {"identifier": "T11", "position": [11, 11], "step": 215, "ordinal_position": 216}, {"identifier": "L87", "position": [10, 11], "step": 216, "ordinal_position": 217}, {"identifier": "B75", "position": [9, 11], "step": 217, "ordinal_position": 218}, {"identifier": "V41", "position": [9, 12], "step": 218, "ordinal_position": 219}, {"identifier": "W90", "position": [9, 13], "step": 219, "ordinal_position": 220}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 220, "direction": "left", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_010.json"}} {"qa_id": "64195a3676d44d78aa1bf67cf76a9562", "image_id": "L3-MazeLoop-test_21x21_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C68, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 102nd position in this traversal?", "start_object_id": "C68", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [102], "ordinal_strings": ["102nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Y62", "traversal_path": [{"identifier": "C68", "position": [16, 9], "step": 0, "ordinal_position": 1}, {"identifier": "M54", "position": [17, 9], "step": 1, "ordinal_position": 2}, {"identifier": "V81", "position": [17, 10], "step": 2, "ordinal_position": 3}, {"identifier": "O75", "position": [17, 11], "step": 3, "ordinal_position": 4}, {"identifier": "Y23", "position": [16, 11], "step": 4, "ordinal_position": 5}, {"identifier": "H60", "position": [15, 11], "step": 5, "ordinal_position": 6}, {"identifier": "B27", "position": [14, 11], "step": 6, "ordinal_position": 7}, {"identifier": "O55", "position": [13, 11], "step": 7, "ordinal_position": 8}, {"identifier": "H23", "position": [13, 12], "step": 8, "ordinal_position": 9}, {"identifier": "B69", "position": [13, 13], "step": 9, "ordinal_position": 10}, {"identifier": "O06", "position": [13, 14], "step": 10, "ordinal_position": 11}, {"identifier": "E80", "position": [13, 15], "step": 11, "ordinal_position": 12}, {"identifier": "R34", "position": [13, 16], "step": 12, "ordinal_position": 13}, {"identifier": "D18", "position": [13, 17], "step": 13, "ordinal_position": 14}, {"identifier": "Y30", "position": [12, 17], "step": 14, "ordinal_position": 15}, {"identifier": "V02", "position": [11, 17], "step": 15, "ordinal_position": 16}, {"identifier": "G46", "position": [10, 17], "step": 16, "ordinal_position": 17}, {"identifier": "U45", "position": [9, 17], "step": 17, "ordinal_position": 18}, {"identifier": "G47", "position": [9, 18], "step": 18, "ordinal_position": 19}, {"identifier": "X12", "position": [9, 19], "step": 19, "ordinal_position": 20}, {"identifier": "S29", "position": [10, 19], "step": 20, "ordinal_position": 21}, {"identifier": "U90", "position": [11, 19], "step": 21, "ordinal_position": 22}, {"identifier": "D64", "position": [12, 19], "step": 22, "ordinal_position": 23}, {"identifier": "M04", "position": [13, 19], "step": 23, "ordinal_position": 24}, {"identifier": "Y69", "position": [14, 19], "step": 24, "ordinal_position": 25}, {"identifier": "V98", "position": [15, 19], "step": 25, "ordinal_position": 26}, {"identifier": "P64", "position": [16, 19], "step": 26, "ordinal_position": 27}, {"identifier": "O14", "position": [17, 19], "step": 27, "ordinal_position": 28}, {"identifier": "X63", "position": [18, 19], "step": 28, "ordinal_position": 29}, {"identifier": "Y82", "position": [19, 19], "step": 29, "ordinal_position": 30}, {"identifier": "H09", "position": [19, 18], "step": 30, "ordinal_position": 31}, {"identifier": "D90", "position": [19, 17], "step": 31, "ordinal_position": 32}, {"identifier": "W75", "position": [19, 16], "step": 32, "ordinal_position": 33}, {"identifier": "O24", "position": [19, 15], "step": 33, "ordinal_position": 34}, {"identifier": "U93", "position": [19, 14], "step": 34, "ordinal_position": 35}, {"identifier": "X32", "position": [19, 13], "step": 35, "ordinal_position": 36}, {"identifier": "S33", "position": [19, 12], "step": 36, "ordinal_position": 37}, {"identifier": "W86", "position": [19, 11], "step": 37, "ordinal_position": 38}, {"identifier": "H63", "position": [19, 10], "step": 38, "ordinal_position": 39}, {"identifier": "V39", "position": [19, 9], "step": 39, "ordinal_position": 40}, {"identifier": "H17", "position": [19, 8], "step": 40, "ordinal_position": 41}, {"identifier": "D96", "position": [19, 7], "step": 41, "ordinal_position": 42}, {"identifier": "N98", "position": [18, 7], "step": 42, "ordinal_position": 43}, {"identifier": "Z75", "position": [17, 7], "step": 43, "ordinal_position": 44}, {"identifier": "V85", "position": [17, 6], "step": 44, "ordinal_position": 45}, {"identifier": "X67", "position": [17, 5], "step": 45, "ordinal_position": 46}, {"identifier": "W77", "position": [18, 5], "step": 46, "ordinal_position": 47}, {"identifier": "T17", "position": [19, 5], "step": 47, "ordinal_position": 48}, {"identifier": "K79", "position": [19, 4], "step": 48, "ordinal_position": 49}, {"identifier": "S99", "position": [19, 3], "step": 49, "ordinal_position": 50}, {"identifier": "R73", "position": [19, 2], "step": 50, "ordinal_position": 51}, {"identifier": "O76", "position": [19, 1], "step": 51, "ordinal_position": 52}, {"identifier": "C44", "position": [18, 1], "step": 52, "ordinal_position": 53}, {"identifier": "I50", "position": [17, 1], "step": 53, "ordinal_position": 54}, {"identifier": "Q73", "position": [16, 1], "step": 54, "ordinal_position": 55}, {"identifier": "N19", "position": [15, 1], "step": 55, "ordinal_position": 56}, {"identifier": "S21", "position": [15, 2], "step": 56, "ordinal_position": 57}, {"identifier": "R37", "position": [15, 3], "step": 57, "ordinal_position": 58}, {"identifier": "R31", "position": [15, 4], "step": 58, "ordinal_position": 59}, {"identifier": "D02", "position": [15, 5], "step": 59, "ordinal_position": 60}, {"identifier": "T28", "position": [15, 6], "step": 60, "ordinal_position": 61}, {"identifier": "Y49", "position": [15, 7], "step": 61, "ordinal_position": 62}, {"identifier": "S49", "position": [14, 7], "step": 62, "ordinal_position": 63}, {"identifier": "T53", "position": [13, 7], "step": 63, "ordinal_position": 64}, {"identifier": "J62", "position": [12, 7], "step": 64, "ordinal_position": 65}, {"identifier": "Y99", "position": [11, 7], "step": 65, "ordinal_position": 66}, {"identifier": "C87", "position": [10, 7], "step": 66, "ordinal_position": 67}, {"identifier": "X52", "position": [9, 7], "step": 67, "ordinal_position": 68}, {"identifier": "O92", "position": [8, 7], "step": 68, "ordinal_position": 69}, {"identifier": "O15", "position": [7, 7], "step": 69, "ordinal_position": 70}, {"identifier": "P82", "position": [7, 6], "step": 70, "ordinal_position": 71}, {"identifier": "R36", "position": [7, 5], "step": 71, "ordinal_position": 72}, {"identifier": "H81", "position": [8, 5], "step": 72, "ordinal_position": 73}, {"identifier": "C85", "position": [9, 5], "step": 73, "ordinal_position": 74}, {"identifier": "J86", "position": [10, 5], "step": 74, "ordinal_position": 75}, {"identifier": "Z68", "position": [11, 5], "step": 75, "ordinal_position": 76}, {"identifier": "H96", "position": [11, 4], "step": 76, "ordinal_position": 77}, {"identifier": "X10", "position": [11, 3], "step": 77, "ordinal_position": 78}, {"identifier": "Q05", "position": [12, 3], "step": 78, "ordinal_position": 79}, {"identifier": "K01", "position": [13, 3], "step": 79, "ordinal_position": 80}, {"identifier": "S71", "position": [13, 4], "step": 80, "ordinal_position": 81}, {"identifier": "Y62", "position": [13, 5], "step": 81, "ordinal_position": 82}, {"identifier": "E74", "position": [13, 6], "step": 82, "ordinal_position": 83}, {"identifier": "T53", "position": [13, 7], "step": 83, "ordinal_position": 84}, {"identifier": "J62", "position": [12, 7], "step": 84, "ordinal_position": 85}, {"identifier": "Y99", "position": [11, 7], "step": 85, "ordinal_position": 86}, {"identifier": "C87", "position": [10, 7], "step": 86, "ordinal_position": 87}, {"identifier": "X52", "position": [9, 7], "step": 87, "ordinal_position": 88}, {"identifier": "O92", "position": [8, 7], "step": 88, "ordinal_position": 89}, {"identifier": "O15", "position": [7, 7], "step": 89, "ordinal_position": 90}, {"identifier": "P82", "position": [7, 6], "step": 90, "ordinal_position": 91}, {"identifier": "R36", "position": [7, 5], "step": 91, "ordinal_position": 92}, {"identifier": "H81", "position": [8, 5], "step": 92, "ordinal_position": 93}, {"identifier": "C85", "position": [9, 5], "step": 93, "ordinal_position": 94}, {"identifier": "J86", "position": [10, 5], "step": 94, "ordinal_position": 95}, {"identifier": "Z68", "position": [11, 5], "step": 95, "ordinal_position": 96}, {"identifier": "H96", "position": [11, 4], "step": 96, "ordinal_position": 97}, {"identifier": "X10", "position": [11, 3], "step": 97, "ordinal_position": 98}, {"identifier": "Q05", "position": [12, 3], "step": 98, "ordinal_position": 99}, {"identifier": "K01", "position": [13, 3], "step": 99, "ordinal_position": 100}, {"identifier": "S71", "position": [13, 4], "step": 100, "ordinal_position": 101}, {"identifier": "Y62", "position": [13, 5], "step": 101, "ordinal_position": 102}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 102, "direction": "right", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_010.json"}} {"qa_id": "dfba35a62868411992cee181d531f833", "image_id": "L3-MazeLoop-test_21x21_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K01, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 223rd position in this traversal?", "start_object_id": "K01", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [223], "ordinal_strings": ["223rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Y62", "traversal_path": [{"identifier": "K01", "position": [13, 3], "step": 0, "ordinal_position": 1}, {"identifier": "S71", "position": [13, 4], "step": 1, "ordinal_position": 2}, {"identifier": "Y62", "position": [13, 5], "step": 2, "ordinal_position": 3}, {"identifier": "E74", "position": [13, 6], "step": 3, "ordinal_position": 4}, {"identifier": "T53", "position": [13, 7], "step": 4, "ordinal_position": 5}, {"identifier": "J62", "position": [12, 7], "step": 5, "ordinal_position": 6}, {"identifier": "Y99", "position": [11, 7], "step": 6, "ordinal_position": 7}, {"identifier": "C87", "position": [10, 7], "step": 7, "ordinal_position": 8}, {"identifier": "X52", "position": [9, 7], "step": 8, "ordinal_position": 9}, {"identifier": "O92", "position": [8, 7], "step": 9, "ordinal_position": 10}, {"identifier": "O15", "position": [7, 7], "step": 10, "ordinal_position": 11}, {"identifier": "P82", "position": [7, 6], "step": 11, "ordinal_position": 12}, {"identifier": "R36", "position": [7, 5], "step": 12, "ordinal_position": 13}, {"identifier": "H81", "position": [8, 5], "step": 13, "ordinal_position": 14}, {"identifier": "C85", "position": [9, 5], "step": 14, "ordinal_position": 15}, {"identifier": "J86", "position": [10, 5], "step": 15, "ordinal_position": 16}, {"identifier": "Z68", "position": [11, 5], "step": 16, "ordinal_position": 17}, {"identifier": "H96", "position": [11, 4], "step": 17, "ordinal_position": 18}, {"identifier": "X10", "position": [11, 3], "step": 18, "ordinal_position": 19}, {"identifier": "Q05", "position": [12, 3], "step": 19, "ordinal_position": 20}, {"identifier": "K01", "position": [13, 3], "step": 20, "ordinal_position": 21}, {"identifier": "S71", "position": [13, 4], "step": 21, "ordinal_position": 22}, {"identifier": "Y62", "position": [13, 5], "step": 22, "ordinal_position": 23}, {"identifier": "E74", "position": [13, 6], "step": 23, "ordinal_position": 24}, {"identifier": "T53", "position": [13, 7], "step": 24, "ordinal_position": 25}, {"identifier": "J62", "position": [12, 7], "step": 25, "ordinal_position": 26}, {"identifier": "Y99", "position": [11, 7], "step": 26, "ordinal_position": 27}, {"identifier": "C87", "position": [10, 7], "step": 27, "ordinal_position": 28}, {"identifier": "X52", "position": [9, 7], "step": 28, "ordinal_position": 29}, {"identifier": "O92", "position": [8, 7], "step": 29, "ordinal_position": 30}, {"identifier": "O15", "position": [7, 7], "step": 30, "ordinal_position": 31}, {"identifier": "P82", "position": [7, 6], "step": 31, "ordinal_position": 32}, {"identifier": "R36", "position": [7, 5], "step": 32, "ordinal_position": 33}, {"identifier": "H81", "position": [8, 5], "step": 33, "ordinal_position": 34}, {"identifier": "C85", "position": [9, 5], "step": 34, "ordinal_position": 35}, {"identifier": "J86", "position": [10, 5], "step": 35, "ordinal_position": 36}, {"identifier": "Z68", "position": [11, 5], "step": 36, "ordinal_position": 37}, {"identifier": "H96", "position": [11, 4], "step": 37, "ordinal_position": 38}, {"identifier": "X10", "position": [11, 3], "step": 38, "ordinal_position": 39}, {"identifier": "Q05", "position": [12, 3], "step": 39, "ordinal_position": 40}, {"identifier": "K01", "position": [13, 3], "step": 40, "ordinal_position": 41}, {"identifier": "S71", "position": [13, 4], "step": 41, "ordinal_position": 42}, {"identifier": "Y62", "position": [13, 5], "step": 42, "ordinal_position": 43}, {"identifier": "E74", "position": [13, 6], "step": 43, "ordinal_position": 44}, {"identifier": "T53", "position": [13, 7], "step": 44, "ordinal_position": 45}, {"identifier": "J62", "position": [12, 7], "step": 45, "ordinal_position": 46}, {"identifier": "Y99", "position": [11, 7], "step": 46, "ordinal_position": 47}, {"identifier": "C87", "position": [10, 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{"identifier": "K01", "position": [13, 3], "step": 60, "ordinal_position": 61}, {"identifier": "S71", "position": [13, 4], "step": 61, "ordinal_position": 62}, {"identifier": "Y62", "position": [13, 5], "step": 62, "ordinal_position": 63}, {"identifier": "E74", "position": [13, 6], "step": 63, "ordinal_position": 64}, {"identifier": "T53", "position": [13, 7], "step": 64, "ordinal_position": 65}, {"identifier": "J62", "position": [12, 7], "step": 65, "ordinal_position": 66}, {"identifier": "Y99", "position": [11, 7], "step": 66, "ordinal_position": 67}, {"identifier": "C87", "position": [10, 7], "step": 67, "ordinal_position": 68}, {"identifier": "X52", "position": [9, 7], "step": 68, "ordinal_position": 69}, {"identifier": "O92", "position": [8, 7], "step": 69, "ordinal_position": 70}, {"identifier": "O15", "position": [7, 7], "step": 70, "ordinal_position": 71}, {"identifier": "P82", "position": [7, 6], "step": 71, "ordinal_position": 72}, {"identifier": "R36", "position": [7, 5], "step": 72, "ordinal_position": 73}, {"identifier": "H81", "position": [8, 5], "step": 73, "ordinal_position": 74}, {"identifier": "C85", "position": [9, 5], "step": 74, "ordinal_position": 75}, {"identifier": "J86", "position": [10, 5], "step": 75, "ordinal_position": 76}, {"identifier": "Z68", "position": [11, 5], "step": 76, "ordinal_position": 77}, {"identifier": "H96", "position": [11, 4], "step": 77, "ordinal_position": 78}, {"identifier": "X10", "position": [11, 3], "step": 78, "ordinal_position": 79}, {"identifier": "Q05", "position": [12, 3], "step": 79, "ordinal_position": 80}, {"identifier": "K01", "position": [13, 3], "step": 80, "ordinal_position": 81}, {"identifier": "S71", "position": [13, 4], "step": 81, "ordinal_position": 82}, {"identifier": "Y62", "position": [13, 5], "step": 82, "ordinal_position": 83}, {"identifier": "E74", "position": [13, 6], "step": 83, "ordinal_position": 84}, {"identifier": "T53", "position": [13, 7], "step": 84, "ordinal_position": 85}, 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183}, {"identifier": "E74", "position": [13, 6], "step": 183, "ordinal_position": 184}, {"identifier": "T53", "position": [13, 7], "step": 184, "ordinal_position": 185}, {"identifier": "J62", "position": [12, 7], "step": 185, "ordinal_position": 186}, {"identifier": "Y99", "position": [11, 7], "step": 186, "ordinal_position": 187}, {"identifier": "C87", "position": [10, 7], "step": 187, "ordinal_position": 188}, {"identifier": "X52", "position": [9, 7], "step": 188, "ordinal_position": 189}, {"identifier": "O92", "position": [8, 7], "step": 189, "ordinal_position": 190}, {"identifier": "O15", "position": [7, 7], "step": 190, "ordinal_position": 191}, {"identifier": "P82", "position": [7, 6], "step": 191, "ordinal_position": 192}, {"identifier": "R36", "position": [7, 5], "step": 192, "ordinal_position": 193}, {"identifier": "H81", "position": [8, 5], "step": 193, "ordinal_position": 194}, {"identifier": "C85", "position": [9, 5], "step": 194, "ordinal_position": 195}, {"identifier": "J86", "position": [10, 5], "step": 195, "ordinal_position": 196}, {"identifier": "Z68", "position": [11, 5], "step": 196, "ordinal_position": 197}, {"identifier": "H96", "position": [11, 4], "step": 197, "ordinal_position": 198}, {"identifier": "X10", "position": [11, 3], "step": 198, "ordinal_position": 199}, {"identifier": "Q05", "position": [12, 3], "step": 199, "ordinal_position": 200}, {"identifier": "K01", "position": [13, 3], "step": 200, "ordinal_position": 201}, {"identifier": "S71", "position": [13, 4], "step": 201, "ordinal_position": 202}, {"identifier": "Y62", "position": [13, 5], "step": 202, "ordinal_position": 203}, {"identifier": "E74", "position": [13, 6], "step": 203, "ordinal_position": 204}, {"identifier": "T53", "position": [13, 7], "step": 204, "ordinal_position": 205}, {"identifier": "J62", "position": [12, 7], "step": 205, "ordinal_position": 206}, {"identifier": "Y99", "position": [11, 7], "step": 206, "ordinal_position": 207}, {"identifier": "C87", "position": [10, 7], "step": 207, "ordinal_position": 208}, {"identifier": "X52", "position": [9, 7], "step": 208, "ordinal_position": 209}, {"identifier": "O92", "position": [8, 7], "step": 209, "ordinal_position": 210}, {"identifier": "O15", "position": [7, 7], "step": 210, "ordinal_position": 211}, {"identifier": "P82", "position": [7, 6], "step": 211, "ordinal_position": 212}, {"identifier": "R36", "position": [7, 5], "step": 212, "ordinal_position": 213}, {"identifier": "H81", "position": [8, 5], "step": 213, "ordinal_position": 214}, {"identifier": "C85", "position": [9, 5], "step": 214, "ordinal_position": 215}, {"identifier": "J86", "position": [10, 5], "step": 215, "ordinal_position": 216}, {"identifier": "Z68", "position": [11, 5], "step": 216, "ordinal_position": 217}, {"identifier": "H96", "position": [11, 4], "step": 217, "ordinal_position": 218}, {"identifier": "X10", "position": [11, 3], "step": 218, "ordinal_position": 219}, {"identifier": "Q05", "position": [12, 3], "step": 219, "ordinal_position": 220}, {"identifier": "K01", "position": [13, 3], "step": 220, "ordinal_position": 221}, {"identifier": "S71", "position": [13, 4], "step": 221, "ordinal_position": 222}, {"identifier": "Y62", "position": [13, 5], "step": 222, "ordinal_position": 223}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 223, "direction": "down", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_010.json"}} {"qa_id": "97864a2c116f4706b3d6dd962debf4be", "image_id": "L3-MazeLoop-test_21x21_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N89, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 194th position in this traversal?", "start_object_id": "N89", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [194], "ordinal_strings": ["194th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "B75", "traversal_path": [{"identifier": "N89", "position": [14, 13], "step": 0, "ordinal_position": 1}, {"identifier": "Q21", "position": [15, 13], "step": 1, "ordinal_position": 2}, {"identifier": "B52", "position": [15, 14], "step": 2, "ordinal_position": 3}, {"identifier": "C04", "position": [15, 15], "step": 3, "ordinal_position": 4}, {"identifier": "E84", "position": [15, 16], "step": 4, "ordinal_position": 5}, {"identifier": "G90", "position": [15, 17], "step": 5, "ordinal_position": 6}, {"identifier": "N42", "position": [14, 17], "step": 6, "ordinal_position": 7}, {"identifier": "D18", "position": [13, 17], "step": 7, "ordinal_position": 8}, {"identifier": "Y30", "position": [12, 17], "step": 8, "ordinal_position": 9}, {"identifier": "V02", "position": [11, 17], "step": 9, "ordinal_position": 10}, {"identifier": "G46", "position": [10, 17], "step": 10, "ordinal_position": 11}, {"identifier": "U45", "position": [9, 17], "step": 11, "ordinal_position": 12}, {"identifier": "G47", "position": [9, 18], "step": 12, "ordinal_position": 13}, {"identifier": "X12", "position": [9, 19], "step": 13, "ordinal_position": 14}, {"identifier": "S29", "position": [10, 19], "step": 14, "ordinal_position": 15}, {"identifier": "U90", "position": [11, 19], "step": 15, "ordinal_position": 16}, {"identifier": "D64", "position": [12, 19], "step": 16, "ordinal_position": 17}, {"identifier": "M04", "position": [13, 19], "step": 17, "ordinal_position": 18}, {"identifier": "Y69", "position": [14, 19], "step": 18, "ordinal_position": 19}, {"identifier": "V98", "position": [15, 19], "step": 19, "ordinal_position": 20}, {"identifier": "P64", "position": [16, 19], "step": 20, "ordinal_position": 21}, {"identifier": "O14", "position": [17, 19], "step": 21, "ordinal_position": 22}, {"identifier": "X63", "position": [18, 19], "step": 22, "ordinal_position": 23}, {"identifier": "Y82", "position": [19, 19], "step": 23, "ordinal_position": 24}, {"identifier": "H09", "position": [19, 18], "step": 24, "ordinal_position": 25}, {"identifier": "D90", "position": [19, 17], "step": 25, "ordinal_position": 26}, {"identifier": "W75", "position": [19, 16], "step": 26, "ordinal_position": 27}, {"identifier": "O24", "position": [19, 15], "step": 27, "ordinal_position": 28}, {"identifier": "U93", "position": [19, 14], "step": 28, "ordinal_position": 29}, {"identifier": "X32", "position": [19, 13], "step": 29, "ordinal_position": 30}, {"identifier": "S33", "position": [19, 12], "step": 30, "ordinal_position": 31}, {"identifier": "W86", "position": [19, 11], "step": 31, "ordinal_position": 32}, {"identifier": "H63", "position": [19, 10], "step": 32, "ordinal_position": 33}, {"identifier": "V39", "position": [19, 9], "step": 33, "ordinal_position": 34}, {"identifier": "H17", "position": [19, 8], "step": 34, "ordinal_position": 35}, {"identifier": "D96", "position": [19, 7], "step": 35, "ordinal_position": 36}, {"identifier": "N98", "position": [18, 7], "step": 36, "ordinal_position": 37}, {"identifier": "Z75", "position": [17, 7], "step": 37, "ordinal_position": 38}, {"identifier": "V85", "position": [17, 6], "step": 38, "ordinal_position": 39}, {"identifier": "X67", "position": [17, 5], "step": 39, "ordinal_position": 40}, {"identifier": "C02", "position": [16, 5], "step": 40, "ordinal_position": 41}, {"identifier": "D02", "position": [15, 5], "step": 41, "ordinal_position": 42}, {"identifier": "T28", "position": [15, 6], "step": 42, "ordinal_position": 43}, {"identifier": "Y49", "position": [15, 7], "step": 43, "ordinal_position": 44}, {"identifier": "S49", "position": [14, 7], "step": 44, "ordinal_position": 45}, {"identifier": "T53", "position": [13, 7], "step": 45, "ordinal_position": 46}, {"identifier": "J62", "position": [12, 7], "step": 46, "ordinal_position": 47}, {"identifier": "Y99", "position": [11, 7], "step": 47, "ordinal_position": 48}, {"identifier": "C87", "position": [10, 7], "step": 48, "ordinal_position": 49}, {"identifier": "X52", "position": [9, 7], "step": 49, "ordinal_position": 50}, {"identifier": "O92", "position": [8, 7], "step": 50, "ordinal_position": 51}, {"identifier": "O15", "position": [7, 7], "step": 51, "ordinal_position": 52}, {"identifier": "R27", "position": [7, 8], "step": 52, "ordinal_position": 53}, {"identifier": "H98", "position": [7, 9], "step": 53, "ordinal_position": 54}, {"identifier": "J14", "position": [7, 10], "step": 54, "ordinal_position": 55}, {"identifier": "D43", "position": [7, 11], "step": 55, "ordinal_position": 56}, {"identifier": "L76", "position": [7, 12], "step": 56, "ordinal_position": 57}, {"identifier": "Q27", "position": [7, 13], "step": 57, "ordinal_position": 58}, {"identifier": "N29", "position": [6, 13], "step": 58, "ordinal_position": 59}, {"identifier": "T42", "position": [5, 13], "step": 59, "ordinal_position": 60}, {"identifier": "J00", "position": [4, 13], "step": 60, "ordinal_position": 61}, {"identifier": "C05", "position": [3, 13], "step": 61, "ordinal_position": 62}, {"identifier": "P03", "position": [3, 14], "step": 62, "ordinal_position": 63}, {"identifier": "S08", "position": [3, 15], "step": 63, "ordinal_position": 64}, {"identifier": "Y89", "position": [4, 15], "step": 64, "ordinal_position": 65}, {"identifier": "X11", "position": [5, 15], "step": 65, "ordinal_position": 66}, {"identifier": "A31", "position": [5, 16], "step": 66, "ordinal_position": 67}, {"identifier": "U78", "position": [5, 17], "step": 67, "ordinal_position": 68}, {"identifier": "Y74", "position": [5, 18], "step": 68, "ordinal_position": 69}, {"identifier": "R47", "position": [5, 19], "step": 69, "ordinal_position": 70}, {"identifier": "C12", "position": [6, 19], "step": 70, "ordinal_position": 71}, {"identifier": "H02", "position": [7, 19], "step": 71, "ordinal_position": 72}, {"identifier": "V37", "position": [7, 18], "step": 72, "ordinal_position": 73}, {"identifier": "G66", "position": [7, 17], "step": 73, "ordinal_position": 74}, {"identifier": "X87", "position": [7, 16], "step": 74, "ordinal_position": 75}, {"identifier": "O29", "position": [7, 15], "step": 75, "ordinal_position": 76}, {"identifier": "X81", "position": [8, 15], "step": 76, "ordinal_position": 77}, {"identifier": "Q24", "position": [9, 15], "step": 77, "ordinal_position": 78}, {"identifier": "M73", "position": [10, 15], "step": 78, "ordinal_position": 79}, {"identifier": "Y47", "position": [11, 15], "step": 79, "ordinal_position": 80}, {"identifier": "Z49", "position": [11, 14], "step": 80, "ordinal_position": 81}, {"identifier": "U13", "position": [11, 13], "step": 81, "ordinal_position": 82}, {"identifier": "Y79", "position": [11, 12], "step": 82, "ordinal_position": 83}, {"identifier": "T11", "position": [11, 11], "step": 83, "ordinal_position": 84}, {"identifier": "L87", "position": [10, 11], "step": 84, "ordinal_position": 85}, {"identifier": "B75", "position": [9, 11], "step": 85, "ordinal_position": 86}, {"identifier": "V41", "position": [9, 12], "step": 86, "ordinal_position": 87}, {"identifier": "W90", "position": [9, 13], "step": 87, "ordinal_position": 88}, {"identifier": "D06", "position": [9, 14], "step": 88, "ordinal_position": 89}, {"identifier": "Q24", "position": [9, 15], "step": 89, "ordinal_position": 90}, {"identifier": "M73", "position": [10, 15], "step": 90, "ordinal_position": 91}, {"identifier": "Y47", "position": [11, 15], "step": 91, "ordinal_position": 92}, {"identifier": "Z49", "position": [11, 14], "step": 92, "ordinal_position": 93}, {"identifier": "U13", "position": [11, 13], "step": 93, "ordinal_position": 94}, {"identifier": "Y79", "position": [11, 12], "step": 94, "ordinal_position": 95}, {"identifier": "T11", "position": [11, 11], "step": 95, "ordinal_position": 96}, {"identifier": "L87", "position": [10, 11], "step": 96, "ordinal_position": 97}, {"identifier": "B75", "position": [9, 11], "step": 97, "ordinal_position": 98}, {"identifier": "V41", "position": [9, 12], "step": 98, "ordinal_position": 99}, {"identifier": "W90", "position": [9, 13], "step": 99, "ordinal_position": 100}, {"identifier": "D06", "position": [9, 14], "step": 100, "ordinal_position": 101}, {"identifier": "Q24", "position": [9, 15], "step": 101, "ordinal_position": 102}, {"identifier": "M73", "position": [10, 15], "step": 102, "ordinal_position": 103}, {"identifier": "Y47", "position": [11, 15], "step": 103, "ordinal_position": 104}, {"identifier": "Z49", "position": [11, 14], "step": 104, "ordinal_position": 105}, {"identifier": "U13", "position": [11, 13], "step": 105, "ordinal_position": 106}, {"identifier": "Y79", "position": [11, 12], "step": 106, "ordinal_position": 107}, {"identifier": "T11", "position": [11, 11], "step": 107, "ordinal_position": 108}, {"identifier": "L87", "position": [10, 11], "step": 108, "ordinal_position": 109}, {"identifier": "B75", "position": [9, 11], "step": 109, "ordinal_position": 110}, {"identifier": "V41", "position": [9, 12], "step": 110, "ordinal_position": 111}, {"identifier": "W90", "position": [9, 13], "step": 111, "ordinal_position": 112}, {"identifier": "D06", "position": [9, 14], "step": 112, "ordinal_position": 113}, {"identifier": "Q24", "position": [9, 15], "step": 113, "ordinal_position": 114}, {"identifier": "M73", "position": [10, 15], "step": 114, "ordinal_position": 115}, {"identifier": "Y47", "position": [11, 15], "step": 115, "ordinal_position": 116}, {"identifier": "Z49", "position": [11, 14], "step": 116, "ordinal_position": 117}, {"identifier": "U13", "position": [11, 13], "step": 117, "ordinal_position": 118}, {"identifier": "Y79", "position": [11, 12], "step": 118, "ordinal_position": 119}, {"identifier": "T11", "position": [11, 11], "step": 119, "ordinal_position": 120}, {"identifier": "L87", "position": [10, 11], "step": 120, "ordinal_position": 121}, {"identifier": "B75", "position": [9, 11], "step": 121, "ordinal_position": 122}, {"identifier": "V41", "position": [9, 12], "step": 122, "ordinal_position": 123}, {"identifier": "W90", "position": [9, 13], "step": 123, "ordinal_position": 124}, {"identifier": "D06", "position": [9, 14], "step": 124, "ordinal_position": 125}, {"identifier": "Q24", "position": [9, 15], "step": 125, "ordinal_position": 126}, {"identifier": "M73", "position": [10, 15], "step": 126, "ordinal_position": 127}, {"identifier": "Y47", "position": [11, 15], "step": 127, "ordinal_position": 128}, {"identifier": "Z49", "position": [11, 14], "step": 128, "ordinal_position": 129}, {"identifier": "U13", "position": [11, 13], "step": 129, "ordinal_position": 130}, {"identifier": "Y79", "position": [11, 12], "step": 130, "ordinal_position": 131}, {"identifier": "T11", "position": [11, 11], "step": 131, "ordinal_position": 132}, {"identifier": "L87", "position": [10, 11], "step": 132, "ordinal_position": 133}, {"identifier": "B75", "position": [9, 11], "step": 133, "ordinal_position": 134}, {"identifier": "V41", "position": [9, 12], "step": 134, "ordinal_position": 135}, {"identifier": "W90", "position": [9, 13], "step": 135, "ordinal_position": 136}, {"identifier": "D06", "position": [9, 14], "step": 136, "ordinal_position": 137}, {"identifier": "Q24", "position": [9, 15], "step": 137, "ordinal_position": 138}, {"identifier": "M73", "position": [10, 15], "step": 138, "ordinal_position": 139}, {"identifier": "Y47", "position": [11, 15], "step": 139, "ordinal_position": 140}, {"identifier": "Z49", "position": [11, 14], "step": 140, "ordinal_position": 141}, {"identifier": "U13", "position": [11, 13], "step": 141, "ordinal_position": 142}, {"identifier": "Y79", "position": [11, 12], "step": 142, "ordinal_position": 143}, {"identifier": "T11", "position": [11, 11], "step": 143, "ordinal_position": 144}, {"identifier": "L87", "position": [10, 11], "step": 144, "ordinal_position": 145}, {"identifier": "B75", "position": [9, 11], "step": 145, "ordinal_position": 146}, {"identifier": "V41", "position": [9, 12], "step": 146, "ordinal_position": 147}, {"identifier": "W90", "position": [9, 13], "step": 147, "ordinal_position": 148}, {"identifier": "D06", "position": [9, 14], "step": 148, "ordinal_position": 149}, {"identifier": "Q24", "position": [9, 15], "step": 149, "ordinal_position": 150}, {"identifier": "M73", "position": [10, 15], "step": 150, "ordinal_position": 151}, {"identifier": "Y47", "position": [11, 15], "step": 151, "ordinal_position": 152}, {"identifier": "Z49", "position": [11, 14], "step": 152, "ordinal_position": 153}, {"identifier": "U13", "position": [11, 13], "step": 153, "ordinal_position": 154}, {"identifier": "Y79", "position": [11, 12], "step": 154, "ordinal_position": 155}, {"identifier": "T11", "position": [11, 11], "step": 155, "ordinal_position": 156}, {"identifier": "L87", "position": [10, 11], "step": 156, "ordinal_position": 157}, {"identifier": "B75", "position": [9, 11], "step": 157, "ordinal_position": 158}, {"identifier": "V41", "position": [9, 12], "step": 158, "ordinal_position": 159}, {"identifier": "W90", "position": [9, 13], "step": 159, "ordinal_position": 160}, {"identifier": "D06", "position": [9, 14], "step": 160, "ordinal_position": 161}, {"identifier": "Q24", "position": [9, 15], "step": 161, "ordinal_position": 162}, {"identifier": "M73", "position": [10, 15], "step": 162, "ordinal_position": 163}, {"identifier": "Y47", "position": [11, 15], "step": 163, "ordinal_position": 164}, {"identifier": "Z49", "position": [11, 14], "step": 164, "ordinal_position": 165}, {"identifier": "U13", "position": [11, 13], "step": 165, "ordinal_position": 166}, {"identifier": "Y79", "position": [11, 12], "step": 166, "ordinal_position": 167}, {"identifier": "T11", "position": [11, 11], "step": 167, "ordinal_position": 168}, {"identifier": "L87", "position": [10, 11], "step": 168, "ordinal_position": 169}, {"identifier": "B75", "position": [9, 11], "step": 169, "ordinal_position": 170}, {"identifier": "V41", "position": [9, 12], "step": 170, "ordinal_position": 171}, {"identifier": "W90", "position": [9, 13], "step": 171, "ordinal_position": 172}, {"identifier": "D06", "position": [9, 14], "step": 172, "ordinal_position": 173}, {"identifier": "Q24", "position": [9, 15], "step": 173, "ordinal_position": 174}, {"identifier": "M73", "position": [10, 15], "step": 174, "ordinal_position": 175}, {"identifier": "Y47", "position": [11, 15], "step": 175, "ordinal_position": 176}, {"identifier": "Z49", "position": [11, 14], "step": 176, "ordinal_position": 177}, {"identifier": "U13", "position": [11, 13], "step": 177, "ordinal_position": 178}, {"identifier": "Y79", "position": [11, 12], "step": 178, "ordinal_position": 179}, {"identifier": "T11", "position": [11, 11], "step": 179, "ordinal_position": 180}, {"identifier": "L87", "position": [10, 11], "step": 180, "ordinal_position": 181}, {"identifier": "B75", "position": [9, 11], "step": 181, "ordinal_position": 182}, {"identifier": "V41", "position": [9, 12], "step": 182, "ordinal_position": 183}, {"identifier": "W90", "position": [9, 13], "step": 183, "ordinal_position": 184}, {"identifier": "D06", "position": [9, 14], "step": 184, "ordinal_position": 185}, {"identifier": "Q24", "position": [9, 15], "step": 185, "ordinal_position": 186}, {"identifier": "M73", "position": [10, 15], "step": 186, "ordinal_position": 187}, {"identifier": "Y47", "position": [11, 15], "step": 187, "ordinal_position": 188}, {"identifier": "Z49", "position": [11, 14], "step": 188, "ordinal_position": 189}, {"identifier": "U13", "position": [11, 13], "step": 189, "ordinal_position": 190}, {"identifier": "Y79", "position": [11, 12], "step": 190, "ordinal_position": 191}, {"identifier": "T11", "position": [11, 11], "step": 191, "ordinal_position": 192}, {"identifier": "L87", "position": [10, 11], "step": 192, "ordinal_position": 193}, {"identifier": "B75", "position": [9, 11], "step": 193, "ordinal_position": 194}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 194, "direction": "right", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_010.json"}} {"qa_id": "47730b0909b245f8b6b3beb554607d3c", "image_id": "L3-MazeLoop-test_21x21_010", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D02, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 230th position in this traversal?", "start_object_id": "D02", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [230], "ordinal_strings": ["230th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "H81", "traversal_path": [{"identifier": "D02", "position": [15, 5], "step": 0, "ordinal_position": 1}, {"identifier": "C02", "position": [16, 5], "step": 1, "ordinal_position": 2}, {"identifier": "X67", "position": [17, 5], "step": 2, "ordinal_position": 3}, {"identifier": "W77", "position": [18, 5], "step": 3, "ordinal_position": 4}, {"identifier": "T17", "position": [19, 5], "step": 4, "ordinal_position": 5}, {"identifier": "K79", "position": [19, 4], "step": 5, "ordinal_position": 6}, {"identifier": "S99", "position": [19, 3], "step": 6, "ordinal_position": 7}, {"identifier": "R73", "position": [19, 2], "step": 7, "ordinal_position": 8}, {"identifier": "O76", "position": [19, 1], "step": 8, "ordinal_position": 9}, {"identifier": "C44", "position": [18, 1], "step": 9, "ordinal_position": 10}, {"identifier": "I50", "position": [17, 1], "step": 10, "ordinal_position": 11}, {"identifier": "Q73", "position": [16, 1], "step": 11, "ordinal_position": 12}, {"identifier": "N19", "position": [15, 1], "step": 12, "ordinal_position": 13}, {"identifier": "S21", "position": [15, 2], "step": 13, "ordinal_position": 14}, {"identifier": "R37", "position": [15, 3], "step": 14, "ordinal_position": 15}, {"identifier": "R31", "position": [15, 4], "step": 15, "ordinal_position": 16}, {"identifier": "D02", "position": [15, 5], "step": 16, "ordinal_position": 17}, {"identifier": "T28", "position": [15, 6], "step": 17, "ordinal_position": 18}, {"identifier": "Y49", "position": [15, 7], "step": 18, "ordinal_position": 19}, {"identifier": "S49", "position": [14, 7], "step": 19, "ordinal_position": 20}, {"identifier": "T53", "position": [13, 7], "step": 20, "ordinal_position": 21}, {"identifier": "J62", "position": [12, 7], "step": 21, "ordinal_position": 22}, {"identifier": "Y99", "position": [11, 7], "step": 22, "ordinal_position": 23}, {"identifier": "C87", "position": [10, 7], "step": 23, "ordinal_position": 24}, {"identifier": "X52", "position": [9, 7], "step": 24, "ordinal_position": 25}, {"identifier": "O92", "position": [8, 7], "step": 25, "ordinal_position": 26}, {"identifier": "O15", "position": [7, 7], "step": 26, "ordinal_position": 27}, {"identifier": "P82", "position": [7, 6], "step": 27, "ordinal_position": 28}, {"identifier": "R36", "position": [7, 5], "step": 28, "ordinal_position": 29}, {"identifier": "H81", "position": [8, 5], "step": 29, "ordinal_position": 30}, {"identifier": "C85", "position": [9, 5], "step": 30, "ordinal_position": 31}, {"identifier": "J86", "position": [10, 5], "step": 31, "ordinal_position": 32}, {"identifier": "Z68", "position": [11, 5], "step": 32, "ordinal_position": 33}, {"identifier": "H96", "position": [11, 4], "step": 33, "ordinal_position": 34}, {"identifier": "X10", "position": [11, 3], "step": 34, "ordinal_position": 35}, {"identifier": "Q05", "position": [12, 3], "step": 35, "ordinal_position": 36}, {"identifier": "K01", "position": [13, 3], "step": 36, "ordinal_position": 37}, {"identifier": "S71", "position": [13, 4], "step": 37, "ordinal_position": 38}, {"identifier": "Y62", "position": [13, 5], "step": 38, "ordinal_position": 39}, {"identifier": "E74", "position": [13, 6], "step": 39, "ordinal_position": 40}, {"identifier": "T53", "position": [13, 7], "step": 40, "ordinal_position": 41}, {"identifier": "J62", "position": [12, 7], "step": 41, "ordinal_position": 42}, {"identifier": "Y99", "position": [11, 7], "step": 42, "ordinal_position": 43}, {"identifier": "C87", "position": [10, 7], "step": 43, "ordinal_position": 44}, {"identifier": "X52", "position": [9, 7], "step": 44, "ordinal_position": 45}, {"identifier": "O92", "position": [8, 7], "step": 45, "ordinal_position": 46}, {"identifier": "O15", "position": [7, 7], "step": 46, "ordinal_position": 47}, {"identifier": "P82", "position": [7, 6], "step": 47, "ordinal_position": 48}, {"identifier": "R36", "position": [7, 5], "step": 48, "ordinal_position": 49}, {"identifier": "H81", "position": [8, 5], "step": 49, "ordinal_position": 50}, {"identifier": "C85", "position": [9, 5], "step": 50, "ordinal_position": 51}, {"identifier": "J86", "position": [10, 5], "step": 51, "ordinal_position": 52}, {"identifier": "Z68", "position": [11, 5], "step": 52, "ordinal_position": 53}, {"identifier": "H96", "position": [11, 4], "step": 53, "ordinal_position": 54}, {"identifier": "X10", "position": [11, 3], "step": 54, "ordinal_position": 55}, {"identifier": "Q05", "position": [12, 3], "step": 55, "ordinal_position": 56}, {"identifier": "K01", "position": [13, 3], "step": 56, "ordinal_position": 57}, {"identifier": "S71", "position": [13, 4], "step": 57, "ordinal_position": 58}, {"identifier": "Y62", "position": [13, 5], "step": 58, "ordinal_position": 59}, {"identifier": "E74", "position": [13, 6], "step": 59, "ordinal_position": 60}, {"identifier": "T53", "position": [13, 7], "step": 60, "ordinal_position": 61}, {"identifier": "J62", "position": [12, 7], "step": 61, "ordinal_position": 62}, {"identifier": "Y99", "position": [11, 7], "step": 62, "ordinal_position": 63}, {"identifier": "C87", "position": [10, 7], "step": 63, "ordinal_position": 64}, {"identifier": "X52", "position": [9, 7], "step": 64, "ordinal_position": 65}, {"identifier": "O92", "position": [8, 7], "step": 65, "ordinal_position": 66}, {"identifier": "O15", "position": [7, 7], "step": 66, "ordinal_position": 67}, {"identifier": "P82", "position": [7, 6], "step": 67, "ordinal_position": 68}, {"identifier": "R36", "position": [7, 5], "step": 68, "ordinal_position": 69}, {"identifier": "H81", "position": [8, 5], "step": 69, "ordinal_position": 70}, {"identifier": "C85", "position": [9, 5], "step": 70, "ordinal_position": 71}, {"identifier": "J86", "position": [10, 5], "step": 71, "ordinal_position": 72}, {"identifier": "Z68", "position": [11, 5], "step": 72, "ordinal_position": 73}, {"identifier": "H96", "position": [11, 4], "step": 73, "ordinal_position": 74}, {"identifier": "X10", "position": [11, 3], "step": 74, "ordinal_position": 75}, {"identifier": "Q05", "position": [12, 3], "step": 75, "ordinal_position": 76}, {"identifier": "K01", "position": [13, 3], "step": 76, "ordinal_position": 77}, {"identifier": "S71", "position": [13, 4], "step": 77, "ordinal_position": 78}, {"identifier": "Y62", "position": [13, 5], "step": 78, "ordinal_position": 79}, {"identifier": "E74", "position": [13, 6], "step": 79, "ordinal_position": 80}, {"identifier": "T53", "position": [13, 7], "step": 80, "ordinal_position": 81}, {"identifier": "J62", "position": [12, 7], "step": 81, "ordinal_position": 82}, {"identifier": "Y99", "position": [11, 7], "step": 82, "ordinal_position": 83}, {"identifier": "C87", "position": [10, 7], "step": 83, "ordinal_position": 84}, {"identifier": "X52", "position": [9, 7], "step": 84, "ordinal_position": 85}, {"identifier": "O92", "position": [8, 7], "step": 85, "ordinal_position": 86}, {"identifier": "O15", "position": [7, 7], "step": 86, "ordinal_position": 87}, {"identifier": "P82", "position": [7, 6], "step": 87, "ordinal_position": 88}, {"identifier": "R36", "position": [7, 5], "step": 88, "ordinal_position": 89}, {"identifier": "H81", "position": [8, 5], "step": 89, "ordinal_position": 90}, {"identifier": "C85", "position": [9, 5], "step": 90, "ordinal_position": 91}, {"identifier": "J86", "position": [10, 5], "step": 91, "ordinal_position": 92}, {"identifier": "Z68", "position": [11, 5], "step": 92, "ordinal_position": 93}, {"identifier": "H96", "position": [11, 4], "step": 93, "ordinal_position": 94}, {"identifier": "X10", "position": [11, 3], "step": 94, "ordinal_position": 95}, {"identifier": "Q05", "position": [12, 3], "step": 95, "ordinal_position": 96}, {"identifier": "K01", "position": [13, 3], "step": 96, "ordinal_position": 97}, {"identifier": "S71", "position": [13, 4], "step": 97, "ordinal_position": 98}, {"identifier": "Y62", "position": [13, 5], "step": 98, "ordinal_position": 99}, {"identifier": "E74", "position": [13, 6], "step": 99, "ordinal_position": 100}, {"identifier": "T53", "position": [13, 7], "step": 100, "ordinal_position": 101}, {"identifier": "J62", "position": [12, 7], "step": 101, "ordinal_position": 102}, {"identifier": "Y99", "position": [11, 7], "step": 102, "ordinal_position": 103}, {"identifier": "C87", "position": [10, 7], "step": 103, "ordinal_position": 104}, {"identifier": "X52", "position": [9, 7], "step": 104, "ordinal_position": 105}, {"identifier": "O92", "position": [8, 7], "step": 105, "ordinal_position": 106}, {"identifier": "O15", "position": [7, 7], "step": 106, "ordinal_position": 107}, {"identifier": "P82", "position": [7, 6], "step": 107, "ordinal_position": 108}, {"identifier": "R36", "position": [7, 5], "step": 108, "ordinal_position": 109}, {"identifier": "H81", "position": [8, 5], "step": 109, "ordinal_position": 110}, {"identifier": "C85", "position": [9, 5], "step": 110, "ordinal_position": 111}, {"identifier": "J86", "position": [10, 5], "step": 111, "ordinal_position": 112}, {"identifier": "Z68", "position": [11, 5], "step": 112, "ordinal_position": 113}, {"identifier": "H96", "position": [11, 4], "step": 113, "ordinal_position": 114}, {"identifier": "X10", "position": [11, 3], "step": 114, "ordinal_position": 115}, {"identifier": "Q05", "position": [12, 3], "step": 115, "ordinal_position": 116}, {"identifier": "K01", "position": [13, 3], "step": 116, "ordinal_position": 117}, {"identifier": "S71", "position": [13, 4], "step": 117, "ordinal_position": 118}, {"identifier": "Y62", "position": [13, 5], "step": 118, "ordinal_position": 119}, {"identifier": "E74", "position": [13, 6], "step": 119, "ordinal_position": 120}, {"identifier": "T53", "position": [13, 7], "step": 120, "ordinal_position": 121}, {"identifier": "J62", "position": [12, 7], "step": 121, "ordinal_position": 122}, {"identifier": "Y99", "position": [11, 7], "step": 122, "ordinal_position": 123}, {"identifier": "C87", "position": [10, 7], "step": 123, "ordinal_position": 124}, {"identifier": "X52", "position": [9, 7], "step": 124, "ordinal_position": 125}, {"identifier": "O92", "position": [8, 7], "step": 125, "ordinal_position": 126}, {"identifier": "O15", "position": [7, 7], "step": 126, "ordinal_position": 127}, {"identifier": "P82", "position": [7, 6], "step": 127, "ordinal_position": 128}, {"identifier": "R36", "position": [7, 5], "step": 128, "ordinal_position": 129}, {"identifier": "H81", "position": [8, 5], "step": 129, "ordinal_position": 130}, {"identifier": "C85", "position": [9, 5], "step": 130, "ordinal_position": 131}, {"identifier": "J86", "position": [10, 5], "step": 131, "ordinal_position": 132}, {"identifier": "Z68", "position": [11, 5], "step": 132, "ordinal_position": 133}, {"identifier": "H96", "position": [11, 4], "step": 133, "ordinal_position": 134}, {"identifier": "X10", "position": [11, 3], "step": 134, "ordinal_position": 135}, {"identifier": "Q05", "position": [12, 3], "step": 135, "ordinal_position": 136}, {"identifier": "K01", "position": [13, 3], "step": 136, "ordinal_position": 137}, {"identifier": "S71", "position": [13, 4], "step": 137, "ordinal_position": 138}, {"identifier": "Y62", "position": [13, 5], "step": 138, "ordinal_position": 139}, {"identifier": "E74", "position": [13, 6], "step": 139, "ordinal_position": 140}, {"identifier": "T53", "position": [13, 7], "step": 140, "ordinal_position": 141}, {"identifier": "J62", "position": [12, 7], "step": 141, "ordinal_position": 142}, {"identifier": "Y99", "position": [11, 7], "step": 142, "ordinal_position": 143}, {"identifier": "C87", "position": [10, 7], "step": 143, "ordinal_position": 144}, {"identifier": "X52", "position": [9, 7], "step": 144, "ordinal_position": 145}, {"identifier": "O92", "position": [8, 7], "step": 145, "ordinal_position": 146}, {"identifier": "O15", "position": [7, 7], "step": 146, "ordinal_position": 147}, {"identifier": "P82", "position": [7, 6], "step": 147, "ordinal_position": 148}, {"identifier": "R36", "position": [7, 5], "step": 148, "ordinal_position": 149}, {"identifier": "H81", "position": [8, 5], "step": 149, "ordinal_position": 150}, {"identifier": "C85", "position": [9, 5], "step": 150, "ordinal_position": 151}, {"identifier": "J86", "position": [10, 5], "step": 151, "ordinal_position": 152}, {"identifier": "Z68", "position": [11, 5], "step": 152, "ordinal_position": 153}, {"identifier": "H96", "position": [11, 4], "step": 153, "ordinal_position": 154}, {"identifier": "X10", "position": [11, 3], "step": 154, "ordinal_position": 155}, {"identifier": "Q05", "position": [12, 3], "step": 155, "ordinal_position": 156}, {"identifier": "K01", "position": [13, 3], "step": 156, "ordinal_position": 157}, {"identifier": "S71", "position": [13, 4], "step": 157, "ordinal_position": 158}, {"identifier": "Y62", "position": [13, 5], "step": 158, "ordinal_position": 159}, {"identifier": "E74", "position": [13, 6], "step": 159, "ordinal_position": 160}, {"identifier": "T53", "position": [13, 7], "step": 160, "ordinal_position": 161}, {"identifier": "J62", "position": [12, 7], "step": 161, "ordinal_position": 162}, {"identifier": "Y99", "position": [11, 7], "step": 162, "ordinal_position": 163}, {"identifier": "C87", "position": [10, 7], "step": 163, "ordinal_position": 164}, {"identifier": "X52", "position": [9, 7], "step": 164, "ordinal_position": 165}, {"identifier": "O92", "position": [8, 7], "step": 165, "ordinal_position": 166}, {"identifier": "O15", "position": [7, 7], "step": 166, "ordinal_position": 167}, {"identifier": "P82", "position": [7, 6], "step": 167, "ordinal_position": 168}, {"identifier": "R36", "position": [7, 5], "step": 168, "ordinal_position": 169}, {"identifier": "H81", "position": [8, 5], "step": 169, "ordinal_position": 170}, {"identifier": "C85", "position": [9, 5], "step": 170, "ordinal_position": 171}, {"identifier": "J86", "position": [10, 5], "step": 171, "ordinal_position": 172}, {"identifier": "Z68", "position": [11, 5], "step": 172, "ordinal_position": 173}, {"identifier": "H96", "position": [11, 4], "step": 173, "ordinal_position": 174}, {"identifier": "X10", "position": [11, 3], "step": 174, "ordinal_position": 175}, {"identifier": "Q05", "position": [12, 3], "step": 175, "ordinal_position": 176}, {"identifier": "K01", "position": [13, 3], "step": 176, "ordinal_position": 177}, {"identifier": "S71", "position": [13, 4], "step": 177, "ordinal_position": 178}, {"identifier": "Y62", "position": [13, 5], "step": 178, "ordinal_position": 179}, {"identifier": "E74", "position": [13, 6], "step": 179, "ordinal_position": 180}, {"identifier": "T53", "position": [13, 7], "step": 180, "ordinal_position": 181}, {"identifier": "J62", "position": [12, 7], "step": 181, "ordinal_position": 182}, {"identifier": "Y99", "position": [11, 7], "step": 182, "ordinal_position": 183}, {"identifier": "C87", "position": [10, 7], "step": 183, "ordinal_position": 184}, {"identifier": "X52", "position": [9, 7], "step": 184, "ordinal_position": 185}, {"identifier": "O92", "position": [8, 7], "step": 185, "ordinal_position": 186}, {"identifier": "O15", "position": [7, 7], "step": 186, "ordinal_position": 187}, {"identifier": "P82", "position": [7, 6], "step": 187, "ordinal_position": 188}, {"identifier": "R36", "position": [7, 5], "step": 188, "ordinal_position": 189}, {"identifier": "H81", "position": [8, 5], "step": 189, "ordinal_position": 190}, {"identifier": "C85", "position": [9, 5], "step": 190, "ordinal_position": 191}, {"identifier": "J86", "position": [10, 5], "step": 191, "ordinal_position": 192}, {"identifier": "Z68", "position": [11, 5], "step": 192, "ordinal_position": 193}, {"identifier": "H96", "position": [11, 4], "step": 193, "ordinal_position": 194}, {"identifier": "X10", "position": [11, 3], "step": 194, "ordinal_position": 195}, {"identifier": "Q05", "position": [12, 3], "step": 195, "ordinal_position": 196}, {"identifier": "K01", "position": [13, 3], "step": 196, "ordinal_position": 197}, {"identifier": "S71", "position": [13, 4], "step": 197, "ordinal_position": 198}, {"identifier": "Y62", "position": [13, 5], "step": 198, "ordinal_position": 199}, {"identifier": "E74", "position": [13, 6], "step": 199, "ordinal_position": 200}, {"identifier": "T53", "position": [13, 7], "step": 200, "ordinal_position": 201}, {"identifier": "J62", "position": [12, 7], "step": 201, "ordinal_position": 202}, {"identifier": "Y99", "position": [11, 7], "step": 202, "ordinal_position": 203}, {"identifier": "C87", "position": [10, 7], "step": 203, "ordinal_position": 204}, {"identifier": "X52", "position": [9, 7], "step": 204, "ordinal_position": 205}, {"identifier": "O92", "position": [8, 7], "step": 205, "ordinal_position": 206}, {"identifier": "O15", "position": [7, 7], "step": 206, "ordinal_position": 207}, {"identifier": "P82", "position": [7, 6], "step": 207, "ordinal_position": 208}, {"identifier": "R36", "position": [7, 5], "step": 208, "ordinal_position": 209}, {"identifier": "H81", "position": [8, 5], "step": 209, "ordinal_position": 210}, {"identifier": "C85", "position": [9, 5], "step": 210, "ordinal_position": 211}, {"identifier": "J86", "position": [10, 5], "step": 211, "ordinal_position": 212}, {"identifier": "Z68", "position": [11, 5], "step": 212, "ordinal_position": 213}, {"identifier": "H96", "position": [11, 4], "step": 213, "ordinal_position": 214}, {"identifier": "X10", "position": [11, 3], "step": 214, "ordinal_position": 215}, {"identifier": "Q05", "position": [12, 3], "step": 215, "ordinal_position": 216}, {"identifier": "K01", "position": [13, 3], "step": 216, "ordinal_position": 217}, {"identifier": "S71", "position": [13, 4], "step": 217, "ordinal_position": 218}, {"identifier": "Y62", "position": [13, 5], "step": 218, "ordinal_position": 219}, {"identifier": "E74", "position": [13, 6], "step": 219, "ordinal_position": 220}, {"identifier": "T53", "position": [13, 7], "step": 220, "ordinal_position": 221}, {"identifier": "J62", "position": [12, 7], "step": 221, "ordinal_position": 222}, {"identifier": "Y99", "position": [11, 7], "step": 222, "ordinal_position": 223}, {"identifier": "C87", "position": [10, 7], "step": 223, "ordinal_position": 224}, {"identifier": "X52", "position": [9, 7], "step": 224, "ordinal_position": 225}, {"identifier": "O92", "position": [8, 7], "step": 225, "ordinal_position": 226}, {"identifier": "O15", "position": [7, 7], "step": 226, "ordinal_position": 227}, {"identifier": "P82", "position": [7, 6], "step": 227, "ordinal_position": 228}, {"identifier": "R36", "position": [7, 5], "step": 228, "ordinal_position": 229}, {"identifier": "H81", "position": [8, 5], "step": 229, "ordinal_position": 230}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 230, "direction": "right", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_010.json"}} {"qa_id": "5491f3ac7dd64976a9dcdc14304c2a8b", "image_id": "L3-MazeLoop-test_21x21_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I39, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 9th position in this traversal?", "start_object_id": "I39", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [9], "ordinal_strings": ["9th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "S28", "traversal_path": [{"identifier": "I39", "position": [4, 15], "step": 0, "ordinal_position": 1}, {"identifier": "U49", "position": [3, 15], "step": 1, "ordinal_position": 2}, {"identifier": "H08", "position": [3, 14], "step": 2, "ordinal_position": 3}, {"identifier": "S55", "position": [3, 13], "step": 3, "ordinal_position": 4}, {"identifier": "T96", "position": [4, 13], "step": 4, "ordinal_position": 5}, {"identifier": "S05", "position": [5, 13], "step": 5, "ordinal_position": 6}, {"identifier": "W10", "position": [6, 13], "step": 6, "ordinal_position": 7}, {"identifier": "N06", "position": [7, 13], "step": 7, "ordinal_position": 8}, {"identifier": "S28", "position": [7, 14], "step": 8, "ordinal_position": 9}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 9, "direction": "left", "turn_preference": "right", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_011.json"}} {"qa_id": "1db7da1ebf1b4b2ba2bbdd6937030bdd", "image_id": "L3-MazeLoop-test_21x21_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y93, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 16th position in this traversal?", "start_object_id": "Y93", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [16], "ordinal_strings": ["16th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "W54", "traversal_path": [{"identifier": "Y93", "position": [5, 2], "step": 0, "ordinal_position": 1}, {"identifier": "B01", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "A46", "position": [6, 1], "step": 2, "ordinal_position": 3}, {"identifier": "N99", "position": [7, 1], "step": 3, "ordinal_position": 4}, {"identifier": "J17", "position": [8, 1], "step": 4, "ordinal_position": 5}, {"identifier": "S74", "position": [9, 1], "step": 5, "ordinal_position": 6}, {"identifier": "F32", "position": [10, 1], "step": 6, "ordinal_position": 7}, {"identifier": "E05", "position": [11, 1], "step": 7, "ordinal_position": 8}, {"identifier": "V74", "position": [11, 2], "step": 8, "ordinal_position": 9}, {"identifier": "I76", "position": [11, 3], "step": 9, "ordinal_position": 10}, {"identifier": "P91", "position": [10, 3], "step": 10, "ordinal_position": 11}, {"identifier": "S04", "position": [9, 3], "step": 11, "ordinal_position": 12}, {"identifier": "O83", "position": [8, 3], "step": 12, "ordinal_position": 13}, {"identifier": "E72", "position": [7, 3], "step": 13, "ordinal_position": 14}, {"identifier": "C96", "position": [7, 4], "step": 14, "ordinal_position": 15}, {"identifier": "W54", "position": [7, 5], "step": 15, "ordinal_position": 16}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 16, "direction": "up", "turn_preference": "right", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_011.json"}} {"qa_id": "7561f2e01d014e9997eb8b348867aef7", "image_id": "L3-MazeLoop-test_21x21_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V23, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 13th position in this traversal?", "start_object_id": "V23", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [13], "ordinal_strings": ["13th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "V37", "traversal_path": [{"identifier": "V23", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "Y16", "position": [4, 3], "step": 1, "ordinal_position": 2}, {"identifier": "A64", "position": [3, 3], "step": 2, "ordinal_position": 3}, {"identifier": "W52", "position": [3, 4], "step": 3, "ordinal_position": 4}, {"identifier": "U47", "position": [3, 5], "step": 4, "ordinal_position": 5}, {"identifier": "C75", "position": [4, 5], "step": 5, "ordinal_position": 6}, {"identifier": "O01", "position": [5, 5], "step": 6, "ordinal_position": 7}, {"identifier": "Q81", "position": [5, 6], "step": 7, "ordinal_position": 8}, {"identifier": "C95", "position": [5, 7], "step": 8, "ordinal_position": 9}, {"identifier": "D71", "position": [4, 7], "step": 9, "ordinal_position": 10}, {"identifier": "D47", "position": [3, 7], "step": 10, "ordinal_position": 11}, {"identifier": "T46", "position": [2, 7], "step": 11, "ordinal_position": 12}, {"identifier": "V37", "position": [1, 7], "step": 12, "ordinal_position": 13}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 13, "direction": "left", "turn_preference": "right", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_011.json"}} {"qa_id": "29abb861803b4b8cba0d9950006fef28", "image_id": "L3-MazeLoop-test_21x21_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D28, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 19th position in this traversal?", "start_object_id": "D28", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [19], "ordinal_strings": ["19th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "F51", "traversal_path": [{"identifier": "D28", "position": [11, 17], "step": 0, "ordinal_position": 1}, {"identifier": "I73", "position": [10, 17], "step": 1, "ordinal_position": 2}, {"identifier": "O41", "position": [9, 17], "step": 2, "ordinal_position": 3}, {"identifier": "F59", "position": [8, 17], "step": 3, "ordinal_position": 4}, {"identifier": "I77", "position": [7, 17], "step": 4, "ordinal_position": 5}, {"identifier": "Z63", "position": [6, 17], "step": 5, "ordinal_position": 6}, {"identifier": "D59", "position": [5, 17], "step": 6, "ordinal_position": 7}, {"identifier": "N55", "position": [4, 17], "step": 7, "ordinal_position": 8}, {"identifier": "X86", "position": [3, 17], "step": 8, "ordinal_position": 9}, {"identifier": "X29", "position": [3, 16], "step": 9, "ordinal_position": 10}, {"identifier": "U49", "position": [3, 15], "step": 10, "ordinal_position": 11}, {"identifier": "H08", "position": [3, 14], "step": 11, "ordinal_position": 12}, {"identifier": "S55", "position": [3, 13], "step": 12, "ordinal_position": 13}, {"identifier": "T96", "position": [4, 13], "step": 13, "ordinal_position": 14}, {"identifier": "S05", "position": [5, 13], "step": 14, "ordinal_position": 15}, {"identifier": "W10", "position": [6, 13], "step": 15, "ordinal_position": 16}, {"identifier": "N06", "position": [7, 13], "step": 16, "ordinal_position": 17}, {"identifier": "S28", "position": [7, 14], "step": 17, "ordinal_position": 18}, {"identifier": "F51", "position": [7, 15], "step": 18, "ordinal_position": 19}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 19, "direction": "left", "turn_preference": "right", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_011.json"}} {"qa_id": "b1a29f1f68bc41f7a7db90f022ed6894", "image_id": "L3-MazeLoop-test_21x21_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T69, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "T69", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "V83", "traversal_path": [{"identifier": "T69", "position": [13, 9], "step": 0, "ordinal_position": 1}, {"identifier": "B23", "position": [13, 10], "step": 1, "ordinal_position": 2}, {"identifier": "V90", "position": [13, 11], "step": 2, "ordinal_position": 3}, {"identifier": "P53", "position": [12, 11], "step": 3, "ordinal_position": 4}, {"identifier": "V83", "position": [11, 11], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 5, "direction": "down", "turn_preference": "left", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_011.json"}} {"qa_id": "e2c1710a3e9c41e0bf80a35e993c97bd", "image_id": "L3-MazeLoop-test_21x21_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O83, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 50th position in this traversal?", "start_object_id": "O83", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [50], "ordinal_strings": ["50th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "S05", "traversal_path": [{"identifier": "O83", "position": [8, 3], "step": 0, "ordinal_position": 1}, {"identifier": "E72", "position": [7, 3], "step": 1, "ordinal_position": 2}, {"identifier": "C96", "position": [7, 4], "step": 2, "ordinal_position": 3}, {"identifier": "W54", "position": [7, 5], "step": 3, "ordinal_position": 4}, {"identifier": "B66", "position": [7, 6], "step": 4, "ordinal_position": 5}, {"identifier": "Y62", "position": [7, 7], "step": 5, "ordinal_position": 6}, {"identifier": "A73", "position": [7, 8], "step": 6, "ordinal_position": 7}, {"identifier": "L27", "position": [7, 9], "step": 7, "ordinal_position": 8}, {"identifier": "Z77", "position": [7, 10], "step": 8, "ordinal_position": 9}, {"identifier": "Z16", "position": [7, 11], "step": 9, "ordinal_position": 10}, {"identifier": "T91", "position": [8, 11], "step": 10, "ordinal_position": 11}, {"identifier": "K72", "position": [9, 11], "step": 11, "ordinal_position": 12}, {"identifier": "U41", "position": [9, 12], "step": 12, "ordinal_position": 13}, {"identifier": "I20", "position": [9, 13], "step": 13, "ordinal_position": 14}, {"identifier": "K91", "position": [9, 14], "step": 14, "ordinal_position": 15}, {"identifier": "P06", "position": [9, 15], "step": 15, "ordinal_position": 16}, {"identifier": "U67", "position": [10, 15], "step": 16, "ordinal_position": 17}, {"identifier": "M91", "position": [11, 15], "step": 17, "ordinal_position": 18}, {"identifier": "P43", "position": [12, 15], "step": 18, "ordinal_position": 19}, {"identifier": "S10", "position": [13, 15], "step": 19, "ordinal_position": 20}, {"identifier": "O05", "position": [13, 16], "step": 20, "ordinal_position": 21}, {"identifier": "K48", "position": [13, 17], "step": 21, "ordinal_position": 22}, {"identifier": "W16", "position": [12, 17], "step": 22, "ordinal_position": 23}, {"identifier": "D28", "position": [11, 17], "step": 23, "ordinal_position": 24}, {"identifier": "I73", "position": [10, 17], "step": 24, "ordinal_position": 25}, {"identifier": "O41", "position": [9, 17], "step": 25, "ordinal_position": 26}, {"identifier": "F59", "position": [8, 17], "step": 26, "ordinal_position": 27}, {"identifier": "I77", "position": [7, 17], "step": 27, "ordinal_position": 28}, {"identifier": "Z63", "position": [6, 17], "step": 28, "ordinal_position": 29}, {"identifier": "D59", "position": [5, 17], "step": 29, "ordinal_position": 30}, {"identifier": "N55", "position": [4, 17], "step": 30, "ordinal_position": 31}, {"identifier": "X86", "position": [3, 17], "step": 31, "ordinal_position": 32}, {"identifier": "X29", "position": [3, 16], "step": 32, "ordinal_position": 33}, {"identifier": "U49", "position": [3, 15], "step": 33, "ordinal_position": 34}, {"identifier": "H08", "position": [3, 14], "step": 34, "ordinal_position": 35}, {"identifier": "S55", "position": [3, 13], "step": 35, "ordinal_position": 36}, {"identifier": "T96", "position": [4, 13], "step": 36, "ordinal_position": 37}, {"identifier": "S05", "position": [5, 13], "step": 37, "ordinal_position": 38}, {"identifier": "W10", "position": [6, 13], "step": 38, "ordinal_position": 39}, {"identifier": "N06", "position": [7, 13], "step": 39, "ordinal_position": 40}, {"identifier": "S28", "position": [7, 14], "step": 40, "ordinal_position": 41}, {"identifier": "F51", "position": [7, 15], "step": 41, "ordinal_position": 42}, {"identifier": "X79", "position": [6, 15], "step": 42, "ordinal_position": 43}, {"identifier": "D57", "position": [5, 15], "step": 43, "ordinal_position": 44}, {"identifier": "I39", "position": [4, 15], "step": 44, "ordinal_position": 45}, {"identifier": "U49", "position": [3, 15], "step": 45, "ordinal_position": 46}, {"identifier": "H08", "position": [3, 14], "step": 46, "ordinal_position": 47}, {"identifier": "S55", "position": [3, 13], "step": 47, "ordinal_position": 48}, {"identifier": "T96", "position": [4, 13], "step": 48, "ordinal_position": 49}, {"identifier": "S05", "position": [5, 13], "step": 49, "ordinal_position": 50}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 50, "direction": "left", "turn_preference": "right", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_011.json"}} {"qa_id": "c5ed01764fd846b18d35fc6cb7574cfe", "image_id": "L3-MazeLoop-test_21x21_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B69, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 38th position in this traversal?", "start_object_id": "B69", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [38], "ordinal_strings": ["38th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "K53", "traversal_path": [{"identifier": "B69", "position": [19, 9], "step": 0, "ordinal_position": 1}, {"identifier": "O50", "position": [19, 10], "step": 1, "ordinal_position": 2}, {"identifier": "B52", "position": [19, 11], "step": 2, "ordinal_position": 3}, {"identifier": "J27", "position": [19, 12], "step": 3, "ordinal_position": 4}, {"identifier": "H31", "position": [19, 13], "step": 4, "ordinal_position": 5}, {"identifier": "Y50", "position": [19, 14], "step": 5, "ordinal_position": 6}, {"identifier": "M96", "position": [19, 15], "step": 6, "ordinal_position": 7}, {"identifier": "Z80", "position": [19, 16], "step": 7, "ordinal_position": 8}, {"identifier": "Z59", "position": [19, 17], "step": 8, "ordinal_position": 9}, {"identifier": "B37", "position": [19, 18], "step": 9, "ordinal_position": 10}, {"identifier": "B16", "position": [19, 19], "step": 10, "ordinal_position": 11}, {"identifier": "B92", "position": [18, 19], "step": 11, "ordinal_position": 12}, {"identifier": "O27", "position": [17, 19], "step": 12, "ordinal_position": 13}, {"identifier": "S45", "position": [16, 19], "step": 13, "ordinal_position": 14}, {"identifier": "S99", "position": [15, 19], "step": 14, "ordinal_position": 15}, {"identifier": "D06", "position": [14, 19], "step": 15, "ordinal_position": 16}, {"identifier": "V24", "position": [13, 19], "step": 16, "ordinal_position": 17}, {"identifier": "P89", "position": [12, 19], "step": 17, "ordinal_position": 18}, {"identifier": "R56", "position": [11, 19], "step": 18, "ordinal_position": 19}, {"identifier": "D19", "position": [10, 19], "step": 19, "ordinal_position": 20}, {"identifier": "S94", "position": [9, 19], "step": 20, "ordinal_position": 21}, {"identifier": "L33", "position": [8, 19], "step": 21, "ordinal_position": 22}, {"identifier": "U58", "position": [7, 19], "step": 22, "ordinal_position": 23}, {"identifier": "D43", "position": [6, 19], "step": 23, "ordinal_position": 24}, {"identifier": "F57", "position": [5, 19], "step": 24, "ordinal_position": 25}, {"identifier": "V07", "position": [4, 19], "step": 25, "ordinal_position": 26}, {"identifier": "F86", "position": [3, 19], "step": 26, "ordinal_position": 27}, {"identifier": "R04", "position": [2, 19], "step": 27, "ordinal_position": 28}, {"identifier": "I29", "position": [1, 19], "step": 28, "ordinal_position": 29}, {"identifier": "J42", "position": [1, 18], "step": 29, "ordinal_position": 30}, {"identifier": "N39", "position": [1, 17], "step": 30, "ordinal_position": 31}, {"identifier": "P07", "position": [1, 16], "step": 31, "ordinal_position": 32}, {"identifier": "R26", "position": [1, 15], "step": 32, "ordinal_position": 33}, {"identifier": "C62", "position": [1, 14], "step": 33, "ordinal_position": 34}, {"identifier": "K47", "position": [1, 13], "step": 34, "ordinal_position": 35}, {"identifier": "M70", "position": [1, 12], "step": 35, "ordinal_position": 36}, {"identifier": "R08", "position": [1, 11], "step": 36, "ordinal_position": 37}, {"identifier": "K53", "position": [2, 11], "step": 37, "ordinal_position": 38}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 38, "direction": "down", "turn_preference": "right", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_011.json"}} {"qa_id": "775cdb5b6a15457bbb0848989e7beebb", "image_id": "L3-MazeLoop-test_21x21_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A27, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 64th position in this traversal?", "start_object_id": "A27", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [64], "ordinal_strings": ["64th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "N06", "traversal_path": [{"identifier": "A27", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "B01", "position": [5, 1], "step": 1, "ordinal_position": 2}, {"identifier": "A46", "position": [6, 1], "step": 2, "ordinal_position": 3}, {"identifier": "N99", "position": [7, 1], "step": 3, "ordinal_position": 4}, {"identifier": "J17", "position": [8, 1], "step": 4, "ordinal_position": 5}, {"identifier": "S74", "position": [9, 1], "step": 5, "ordinal_position": 6}, {"identifier": "F32", "position": [10, 1], "step": 6, "ordinal_position": 7}, {"identifier": "E05", "position": [11, 1], "step": 7, "ordinal_position": 8}, {"identifier": "V74", "position": [11, 2], "step": 8, "ordinal_position": 9}, {"identifier": "I76", "position": [11, 3], "step": 9, "ordinal_position": 10}, {"identifier": "P91", "position": [10, 3], "step": 10, "ordinal_position": 11}, {"identifier": "S04", "position": [9, 3], "step": 11, "ordinal_position": 12}, {"identifier": "O83", "position": [8, 3], "step": 12, "ordinal_position": 13}, {"identifier": "E72", "position": [7, 3], "step": 13, "ordinal_position": 14}, {"identifier": "C96", "position": [7, 4], "step": 14, "ordinal_position": 15}, {"identifier": "W54", "position": [7, 5], "step": 15, "ordinal_position": 16}, {"identifier": "B66", "position": [7, 6], "step": 16, "ordinal_position": 17}, {"identifier": "Y62", "position": [7, 7], "step": 17, "ordinal_position": 18}, {"identifier": "A73", "position": [7, 8], "step": 18, "ordinal_position": 19}, {"identifier": "L27", "position": [7, 9], "step": 19, "ordinal_position": 20}, {"identifier": "Z77", "position": [7, 10], "step": 20, "ordinal_position": 21}, {"identifier": "Z16", "position": [7, 11], "step": 21, "ordinal_position": 22}, {"identifier": "T91", "position": [8, 11], "step": 22, "ordinal_position": 23}, {"identifier": "K72", "position": [9, 11], "step": 23, "ordinal_position": 24}, {"identifier": "U41", "position": [9, 12], "step": 24, "ordinal_position": 25}, {"identifier": "I20", "position": [9, 13], "step": 25, "ordinal_position": 26}, {"identifier": "K91", "position": [9, 14], "step": 26, "ordinal_position": 27}, {"identifier": "P06", "position": [9, 15], "step": 27, "ordinal_position": 28}, {"identifier": "U67", "position": [10, 15], "step": 28, "ordinal_position": 29}, {"identifier": "M91", "position": [11, 15], "step": 29, "ordinal_position": 30}, {"identifier": "P43", "position": [12, 15], "step": 30, "ordinal_position": 31}, {"identifier": "S10", "position": [13, 15], "step": 31, "ordinal_position": 32}, {"identifier": "O05", "position": [13, 16], "step": 32, "ordinal_position": 33}, {"identifier": "K48", "position": [13, 17], "step": 33, "ordinal_position": 34}, {"identifier": "W16", "position": [12, 17], "step": 34, "ordinal_position": 35}, {"identifier": "D28", "position": [11, 17], "step": 35, "ordinal_position": 36}, {"identifier": "I73", "position": [10, 17], "step": 36, "ordinal_position": 37}, {"identifier": "O41", "position": [9, 17], "step": 37, "ordinal_position": 38}, {"identifier": "F59", "position": [8, 17], "step": 38, "ordinal_position": 39}, {"identifier": "I77", "position": [7, 17], "step": 39, "ordinal_position": 40}, {"identifier": "Z63", "position": [6, 17], "step": 40, "ordinal_position": 41}, {"identifier": "D59", "position": [5, 17], "step": 41, "ordinal_position": 42}, {"identifier": "N55", "position": [4, 17], "step": 42, "ordinal_position": 43}, {"identifier": "X86", "position": [3, 17], "step": 43, "ordinal_position": 44}, {"identifier": "X29", "position": [3, 16], "step": 44, "ordinal_position": 45}, {"identifier": "U49", "position": [3, 15], "step": 45, "ordinal_position": 46}, {"identifier": "H08", "position": [3, 14], "step": 46, "ordinal_position": 47}, {"identifier": "S55", "position": [3, 13], "step": 47, "ordinal_position": 48}, {"identifier": "T96", "position": [4, 13], "step": 48, "ordinal_position": 49}, {"identifier": "S05", "position": [5, 13], "step": 49, "ordinal_position": 50}, {"identifier": "W10", "position": [6, 13], "step": 50, "ordinal_position": 51}, {"identifier": "N06", "position": [7, 13], "step": 51, "ordinal_position": 52}, {"identifier": "S28", "position": [7, 14], "step": 52, "ordinal_position": 53}, {"identifier": "F51", "position": [7, 15], "step": 53, "ordinal_position": 54}, {"identifier": "X79", "position": [6, 15], "step": 54, "ordinal_position": 55}, {"identifier": "D57", "position": [5, 15], "step": 55, "ordinal_position": 56}, {"identifier": "I39", "position": [4, 15], "step": 56, "ordinal_position": 57}, {"identifier": "U49", "position": [3, 15], "step": 57, "ordinal_position": 58}, {"identifier": "H08", "position": [3, 14], "step": 58, "ordinal_position": 59}, {"identifier": "S55", "position": [3, 13], "step": 59, "ordinal_position": 60}, {"identifier": "T96", "position": [4, 13], "step": 60, "ordinal_position": 61}, {"identifier": "S05", "position": [5, 13], "step": 61, "ordinal_position": 62}, {"identifier": "W10", "position": [6, 13], "step": 62, "ordinal_position": 63}, {"identifier": "N06", "position": [7, 13], "step": 63, "ordinal_position": 64}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 64, "direction": "right", "turn_preference": "right", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_011.json"}} {"qa_id": "e768871b46534faf84c511736179180b", "image_id": "L3-MazeLoop-test_21x21_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A27, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 39th position in this traversal?", "start_object_id": "A27", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [39], "ordinal_strings": ["39th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "W16", "traversal_path": [{"identifier": "A27", "position": [4, 1], "step": 0, "ordinal_position": 1}, {"identifier": "G94", "position": [3, 1], "step": 1, "ordinal_position": 2}, {"identifier": "H33", "position": [2, 1], "step": 2, "ordinal_position": 3}, {"identifier": "H77", "position": [1, 1], "step": 3, "ordinal_position": 4}, {"identifier": "X37", "position": [1, 2], "step": 4, "ordinal_position": 5}, {"identifier": "P98", "position": [1, 3], "step": 5, "ordinal_position": 6}, {"identifier": "N12", "position": [1, 4], "step": 6, "ordinal_position": 7}, {"identifier": "D77", "position": [1, 5], "step": 7, "ordinal_position": 8}, {"identifier": "O64", "position": [1, 6], "step": 8, "ordinal_position": 9}, {"identifier": "V37", "position": [1, 7], "step": 9, "ordinal_position": 10}, {"identifier": "I16", "position": [1, 8], "step": 10, "ordinal_position": 11}, {"identifier": "B82", "position": [1, 9], "step": 11, "ordinal_position": 12}, {"identifier": "Y88", "position": [2, 9], "step": 12, "ordinal_position": 13}, {"identifier": "U33", "position": [3, 9], "step": 13, "ordinal_position": 14}, {"identifier": "F30", "position": [4, 9], "step": 14, "ordinal_position": 15}, {"identifier": "X93", "position": [5, 9], "step": 15, "ordinal_position": 16}, {"identifier": "N37", "position": [5, 10], "step": 16, "ordinal_position": 17}, {"identifier": "E62", "position": [5, 11], "step": 17, "ordinal_position": 18}, {"identifier": "T44", "position": [5, 12], "step": 18, "ordinal_position": 19}, {"identifier": "S05", "position": [5, 13], "step": 19, "ordinal_position": 20}, {"identifier": "W10", "position": [6, 13], "step": 20, "ordinal_position": 21}, {"identifier": "N06", "position": [7, 13], "step": 21, "ordinal_position": 22}, {"identifier": "S28", "position": [7, 14], "step": 22, "ordinal_position": 23}, {"identifier": "F51", "position": [7, 15], "step": 23, "ordinal_position": 24}, {"identifier": "X79", "position": [6, 15], "step": 24, "ordinal_position": 25}, {"identifier": "D57", "position": [5, 15], "step": 25, "ordinal_position": 26}, {"identifier": "I39", "position": [4, 15], "step": 26, "ordinal_position": 27}, {"identifier": "U49", "position": [3, 15], "step": 27, "ordinal_position": 28}, {"identifier": "X29", "position": [3, 16], "step": 28, "ordinal_position": 29}, {"identifier": "X86", "position": [3, 17], "step": 29, "ordinal_position": 30}, {"identifier": "N55", "position": [4, 17], "step": 30, "ordinal_position": 31}, {"identifier": "D59", "position": [5, 17], "step": 31, "ordinal_position": 32}, {"identifier": "Z63", "position": [6, 17], "step": 32, "ordinal_position": 33}, {"identifier": "I77", "position": [7, 17], "step": 33, "ordinal_position": 34}, {"identifier": "F59", "position": [8, 17], "step": 34, "ordinal_position": 35}, {"identifier": "O41", "position": [9, 17], "step": 35, "ordinal_position": 36}, {"identifier": "I73", "position": [10, 17], "step": 36, "ordinal_position": 37}, {"identifier": "D28", "position": [11, 17], "step": 37, "ordinal_position": 38}, {"identifier": "W16", "position": [12, 17], "step": 38, "ordinal_position": 39}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 39, "direction": "left", "turn_preference": "left", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_011.json"}} {"qa_id": "960db9bbe8f44c91914da4f80086f312", "image_id": "L3-MazeLoop-test_21x21_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T34, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 45th position in this traversal?", "start_object_id": "T34", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [45], "ordinal_strings": ["45th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "I39", "traversal_path": [{"identifier": "T34", "position": [10, 7], "step": 0, "ordinal_position": 1}, {"identifier": "B43", "position": [11, 7], "step": 1, "ordinal_position": 2}, {"identifier": "V92", "position": [12, 7], "step": 2, "ordinal_position": 3}, {"identifier": "F77", "position": [13, 7], "step": 3, "ordinal_position": 4}, {"identifier": "L15", "position": [14, 7], "step": 4, "ordinal_position": 5}, {"identifier": "F66", "position": [15, 7], "step": 5, "ordinal_position": 6}, {"identifier": "G52", "position": [15, 8], "step": 6, "ordinal_position": 7}, {"identifier": "X10", "position": [15, 9], "step": 7, "ordinal_position": 8}, {"identifier": "T75", "position": [14, 9], "step": 8, "ordinal_position": 9}, {"identifier": "T69", "position": [13, 9], "step": 9, "ordinal_position": 10}, {"identifier": "I99", "position": [12, 9], "step": 10, "ordinal_position": 11}, {"identifier": "Z05", "position": [11, 9], "step": 11, "ordinal_position": 12}, {"identifier": "A44", "position": [11, 10], "step": 12, "ordinal_position": 13}, {"identifier": "V83", "position": [11, 11], "step": 13, "ordinal_position": 14}, {"identifier": "D18", "position": [11, 12], "step": 14, "ordinal_position": 15}, {"identifier": "Z62", "position": [11, 13], "step": 15, "ordinal_position": 16}, {"identifier": "J89", "position": [12, 13], "step": 16, "ordinal_position": 17}, {"identifier": "J92", "position": [13, 13], "step": 17, "ordinal_position": 18}, {"identifier": "G92", "position": [13, 14], "step": 18, "ordinal_position": 19}, {"identifier": "S10", "position": [13, 15], "step": 19, "ordinal_position": 20}, {"identifier": "O05", "position": [13, 16], "step": 20, "ordinal_position": 21}, {"identifier": "K48", "position": [13, 17], "step": 21, "ordinal_position": 22}, {"identifier": "W16", "position": [12, 17], "step": 22, "ordinal_position": 23}, {"identifier": "D28", "position": [11, 17], "step": 23, "ordinal_position": 24}, {"identifier": "I73", "position": [10, 17], "step": 24, "ordinal_position": 25}, {"identifier": "O41", "position": [9, 17], "step": 25, "ordinal_position": 26}, {"identifier": "F59", "position": [8, 17], "step": 26, "ordinal_position": 27}, {"identifier": "I77", "position": [7, 17], "step": 27, "ordinal_position": 28}, {"identifier": "Z63", "position": [6, 17], "step": 28, "ordinal_position": 29}, {"identifier": "D59", "position": [5, 17], "step": 29, "ordinal_position": 30}, {"identifier": "N55", "position": [4, 17], "step": 30, "ordinal_position": 31}, {"identifier": "X86", "position": [3, 17], "step": 31, "ordinal_position": 32}, {"identifier": "X29", "position": [3, 16], "step": 32, "ordinal_position": 33}, {"identifier": "U49", "position": [3, 15], "step": 33, "ordinal_position": 34}, {"identifier": "H08", "position": [3, 14], "step": 34, "ordinal_position": 35}, {"identifier": "S55", "position": [3, 13], "step": 35, "ordinal_position": 36}, {"identifier": "T96", "position": [4, 13], "step": 36, "ordinal_position": 37}, {"identifier": "S05", "position": [5, 13], "step": 37, "ordinal_position": 38}, {"identifier": "W10", "position": [6, 13], "step": 38, "ordinal_position": 39}, {"identifier": "N06", "position": [7, 13], "step": 39, "ordinal_position": 40}, {"identifier": "S28", "position": [7, 14], "step": 40, "ordinal_position": 41}, {"identifier": "F51", "position": [7, 15], "step": 41, "ordinal_position": 42}, {"identifier": "X79", "position": [6, 15], "step": 42, "ordinal_position": 43}, {"identifier": "D57", "position": [5, 15], "step": 43, "ordinal_position": 44}, {"identifier": "I39", "position": [4, 15], "step": 44, "ordinal_position": 45}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 45, "direction": "right", "turn_preference": "right", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_011.json"}} {"qa_id": "b21d890a01614a93858e608e2327ace0", "image_id": "L3-MazeLoop-test_21x21_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V99, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 235th position in this traversal?", "start_object_id": "V99", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [235], "ordinal_strings": ["235th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "U49", "traversal_path": [{"identifier": "V99", "position": [17, 7], "step": 0, "ordinal_position": 1}, {"identifier": "T38", "position": [18, 7], "step": 1, "ordinal_position": 2}, {"identifier": "P66", "position": [19, 7], "step": 2, "ordinal_position": 3}, {"identifier": "M77", "position": [19, 6], "step": 3, "ordinal_position": 4}, {"identifier": "O16", "position": [19, 5], "step": 4, "ordinal_position": 5}, {"identifier": "B28", "position": [19, 4], "step": 5, "ordinal_position": 6}, {"identifier": "O02", "position": [19, 3], "step": 6, "ordinal_position": 7}, {"identifier": "O36", "position": [19, 2], "step": 7, "ordinal_position": 8}, {"identifier": "E46", "position": [19, 1], "step": 8, "ordinal_position": 9}, {"identifier": "I06", "position": [18, 1], "step": 9, "ordinal_position": 10}, {"identifier": "S57", "position": [17, 1], "step": 10, "ordinal_position": 11}, {"identifier": "I13", "position": [16, 1], "step": 11, "ordinal_position": 12}, {"identifier": "F56", "position": [15, 1], "step": 12, "ordinal_position": 13}, {"identifier": "T30", "position": [14, 1], "step": 13, "ordinal_position": 14}, {"identifier": "D05", "position": [13, 1], "step": 14, "ordinal_position": 15}, {"identifier": "B48", "position": [13, 2], "step": 15, "ordinal_position": 16}, {"identifier": "A87", "position": [13, 3], "step": 16, "ordinal_position": 17}, {"identifier": "U36", "position": [14, 3], "step": 17, "ordinal_position": 18}, {"identifier": "L39", "position": [15, 3], "step": 18, "ordinal_position": 19}, {"identifier": "X46", "position": [16, 3], "step": 19, "ordinal_position": 20}, {"identifier": "M69", "position": [17, 3], "step": 20, "ordinal_position": 21}, {"identifier": "A91", "position": [18, 3], "step": 21, "ordinal_position": 22}, {"identifier": "O02", "position": [19, 3], "step": 22, "ordinal_position": 23}, {"identifier": "B28", "position": [19, 4], "step": 23, "ordinal_position": 24}, {"identifier": "O16", "position": [19, 5], "step": 24, "ordinal_position": 25}, {"identifier": "M77", "position": [19, 6], "step": 25, "ordinal_position": 26}, {"identifier": "P66", "position": [19, 7], "step": 26, "ordinal_position": 27}, {"identifier": "T38", "position": [18, 7], "step": 27, "ordinal_position": 28}, {"identifier": "V99", "position": [17, 7], "step": 28, "ordinal_position": 29}, {"identifier": "B22", "position": [17, 8], "step": 29, "ordinal_position": 30}, {"identifier": "V29", "position": [17, 9], "step": 30, "ordinal_position": 31}, {"identifier": "D08", "position": [17, 10], "step": 31, "ordinal_position": 32}, {"identifier": "A78", "position": [17, 11], "step": 32, "ordinal_position": 33}, {"identifier": "I94", "position": [16, 11], "step": 33, "ordinal_position": 34}, {"identifier": "Q11", "position": [15, 11], "step": 34, "ordinal_position": 35}, {"identifier": "A50", "position": [15, 12], "step": 35, "ordinal_position": 36}, {"identifier": "Q95", "position": [15, 13], "step": 36, "ordinal_position": 37}, {"identifier": "M33", "position": [15, 14], "step": 37, "ordinal_position": 38}, {"identifier": "D39", "position": [15, 15], "step": 38, "ordinal_position": 39}, {"identifier": "F05", "position": [16, 15], "step": 39, "ordinal_position": 40}, {"identifier": "L51", "position": [17, 15], "step": 40, "ordinal_position": 41}, {"identifier": "Q57", "position": [17, 14], "step": 41, "ordinal_position": 42}, {"identifier": "P74", "position": [17, 13], "step": 42, "ordinal_position": 43}, {"identifier": "S44", "position": [18, 13], "step": 43, "ordinal_position": 44}, {"identifier": "H31", "position": [19, 13], "step": 44, "ordinal_position": 45}, {"identifier": "Y50", "position": [19, 14], "step": 45, "ordinal_position": 46}, {"identifier": "M96", "position": [19, 15], "step": 46, "ordinal_position": 47}, {"identifier": "Z80", "position": [19, 16], "step": 47, "ordinal_position": 48}, {"identifier": "Z59", "position": [19, 17], "step": 48, "ordinal_position": 49}, {"identifier": "B37", "position": [19, 18], "step": 49, "ordinal_position": 50}, {"identifier": "B16", "position": [19, 19], "step": 50, "ordinal_position": 51}, {"identifier": "B92", "position": [18, 19], "step": 51, "ordinal_position": 52}, {"identifier": "O27", "position": [17, 19], "step": 52, "ordinal_position": 53}, {"identifier": "S45", "position": [16, 19], "step": 53, "ordinal_position": 54}, {"identifier": "S99", "position": [15, 19], "step": 54, "ordinal_position": 55}, {"identifier": "D06", "position": [14, 19], "step": 55, "ordinal_position": 56}, {"identifier": "V24", "position": [13, 19], "step": 56, "ordinal_position": 57}, {"identifier": "P89", "position": [12, 19], "step": 57, "ordinal_position": 58}, {"identifier": "R56", "position": [11, 19], "step": 58, "ordinal_position": 59}, {"identifier": "D19", "position": [10, 19], "step": 59, "ordinal_position": 60}, {"identifier": "S94", "position": [9, 19], "step": 60, "ordinal_position": 61}, {"identifier": "L33", "position": [8, 19], "step": 61, "ordinal_position": 62}, {"identifier": "U58", "position": [7, 19], "step": 62, "ordinal_position": 63}, {"identifier": "D43", "position": [6, 19], "step": 63, "ordinal_position": 64}, {"identifier": "F57", "position": [5, 19], "step": 64, "ordinal_position": 65}, {"identifier": "V07", "position": [4, 19], "step": 65, "ordinal_position": 66}, {"identifier": "F86", "position": [3, 19], "step": 66, "ordinal_position": 67}, {"identifier": "R04", "position": [2, 19], "step": 67, "ordinal_position": 68}, {"identifier": "I29", "position": [1, 19], "step": 68, "ordinal_position": 69}, {"identifier": "J42", "position": [1, 18], "step": 69, "ordinal_position": 70}, {"identifier": "N39", "position": [1, 17], "step": 70, "ordinal_position": 71}, {"identifier": "P07", "position": [1, 16], "step": 71, "ordinal_position": 72}, {"identifier": "R26", "position": [1, 15], "step": 72, "ordinal_position": 73}, {"identifier": "C62", "position": [1, 14], "step": 73, "ordinal_position": 74}, {"identifier": "K47", "position": [1, 13], "step": 74, "ordinal_position": 75}, {"identifier": "M70", "position": [1, 12], "step": 75, "ordinal_position": 76}, {"identifier": "R08", "position": [1, 11], "step": 76, "ordinal_position": 77}, {"identifier": "K53", "position": [2, 11], "step": 77, "ordinal_position": 78}, {"identifier": "W36", "position": [3, 11], "step": 78, "ordinal_position": 79}, {"identifier": "E73", "position": [3, 10], "step": 79, "ordinal_position": 80}, {"identifier": "U33", "position": [3, 9], "step": 80, "ordinal_position": 81}, {"identifier": "F30", "position": [4, 9], "step": 81, "ordinal_position": 82}, {"identifier": "X93", "position": [5, 9], "step": 82, "ordinal_position": 83}, {"identifier": "N37", "position": [5, 10], "step": 83, "ordinal_position": 84}, {"identifier": "E62", "position": [5, 11], "step": 84, "ordinal_position": 85}, {"identifier": "T44", "position": [5, 12], "step": 85, "ordinal_position": 86}, {"identifier": "S05", "position": [5, 13], "step": 86, "ordinal_position": 87}, {"identifier": "T96", "position": [4, 13], "step": 87, "ordinal_position": 88}, {"identifier": "S55", "position": [3, 13], 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{"identifier": "I99", "position": [12, 9], "step": 113, "ordinal_position": 114}, {"identifier": "T69", "position": [13, 9], "step": 114, "ordinal_position": 115}, {"identifier": "T75", "position": [14, 9], "step": 115, "ordinal_position": 116}, {"identifier": "X10", "position": [15, 9], "step": 116, "ordinal_position": 117}, {"identifier": "G52", "position": [15, 8], "step": 117, "ordinal_position": 118}, {"identifier": "F66", "position": [15, 7], "step": 118, "ordinal_position": 119}, {"identifier": "L15", "position": [14, 7], "step": 119, "ordinal_position": 120}, {"identifier": "F77", "position": [13, 7], "step": 120, "ordinal_position": 121}, {"identifier": "V92", "position": [12, 7], "step": 121, "ordinal_position": 122}, {"identifier": "B43", "position": [11, 7], "step": 122, "ordinal_position": 123}, {"identifier": "T34", "position": [10, 7], "step": 123, "ordinal_position": 124}, {"identifier": "M74", "position": [9, 7], "step": 124, "ordinal_position": 125}, {"identifier": 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"position": [13, 16], "step": 137, "ordinal_position": 138}, {"identifier": "K48", "position": [13, 17], "step": 138, "ordinal_position": 139}, {"identifier": "W16", "position": [12, 17], "step": 139, "ordinal_position": 140}, {"identifier": "D28", "position": [11, 17], "step": 140, "ordinal_position": 141}, {"identifier": "I73", "position": [10, 17], "step": 141, "ordinal_position": 142}, {"identifier": "O41", "position": [9, 17], "step": 142, "ordinal_position": 143}, {"identifier": "F59", "position": [8, 17], "step": 143, "ordinal_position": 144}, {"identifier": "I77", "position": [7, 17], "step": 144, "ordinal_position": 145}, {"identifier": "Z63", "position": [6, 17], "step": 145, "ordinal_position": 146}, {"identifier": "D59", "position": [5, 17], "step": 146, "ordinal_position": 147}, {"identifier": "N55", "position": [4, 17], "step": 147, "ordinal_position": 148}, {"identifier": "X86", "position": [3, 17], "step": 148, "ordinal_position": 149}, {"identifier": "X29", "position": [3, 16], "step": 149, "ordinal_position": 150}, {"identifier": "U49", "position": [3, 15], "step": 150, "ordinal_position": 151}, {"identifier": "H08", "position": [3, 14], "step": 151, "ordinal_position": 152}, {"identifier": "S55", "position": [3, 13], "step": 152, "ordinal_position": 153}, {"identifier": "T96", "position": [4, 13], "step": 153, "ordinal_position": 154}, {"identifier": "S05", "position": [5, 13], "step": 154, "ordinal_position": 155}, {"identifier": "W10", "position": [6, 13], "step": 155, "ordinal_position": 156}, {"identifier": "N06", "position": [7, 13], "step": 156, "ordinal_position": 157}, {"identifier": "S28", "position": [7, 14], "step": 157, "ordinal_position": 158}, {"identifier": "F51", "position": [7, 15], "step": 158, "ordinal_position": 159}, {"identifier": "X79", "position": [6, 15], "step": 159, "ordinal_position": 160}, {"identifier": "D57", "position": [5, 15], "step": 160, "ordinal_position": 161}, {"identifier": "I39", "position": [4, 15], "step": 161, "ordinal_position": 162}, {"identifier": "U49", "position": [3, 15], "step": 162, "ordinal_position": 163}, {"identifier": "H08", "position": [3, 14], "step": 163, "ordinal_position": 164}, {"identifier": "S55", "position": [3, 13], "step": 164, "ordinal_position": 165}, {"identifier": "T96", "position": [4, 13], "step": 165, "ordinal_position": 166}, {"identifier": "S05", "position": [5, 13], "step": 166, "ordinal_position": 167}, {"identifier": "W10", "position": [6, 13], "step": 167, "ordinal_position": 168}, {"identifier": "N06", "position": [7, 13], "step": 168, "ordinal_position": 169}, {"identifier": "S28", "position": [7, 14], "step": 169, "ordinal_position": 170}, {"identifier": "F51", "position": [7, 15], "step": 170, "ordinal_position": 171}, {"identifier": "X79", "position": [6, 15], "step": 171, "ordinal_position": 172}, {"identifier": "D57", "position": [5, 15], "step": 172, "ordinal_position": 173}, {"identifier": "I39", "position": [4, 15], "step": 173, "ordinal_position": 174}, {"identifier": "U49", "position": [3, 15], "step": 174, "ordinal_position": 175}, {"identifier": "H08", "position": [3, 14], "step": 175, "ordinal_position": 176}, {"identifier": "S55", "position": [3, 13], "step": 176, "ordinal_position": 177}, {"identifier": "T96", "position": [4, 13], "step": 177, "ordinal_position": 178}, {"identifier": "S05", "position": [5, 13], "step": 178, "ordinal_position": 179}, {"identifier": "W10", "position": [6, 13], "step": 179, "ordinal_position": 180}, {"identifier": "N06", "position": [7, 13], "step": 180, "ordinal_position": 181}, {"identifier": "S28", "position": [7, 14], "step": 181, "ordinal_position": 182}, {"identifier": "F51", "position": [7, 15], "step": 182, "ordinal_position": 183}, {"identifier": "X79", "position": [6, 15], "step": 183, "ordinal_position": 184}, {"identifier": "D57", "position": [5, 15], "step": 184, "ordinal_position": 185}, {"identifier": "I39", "position": [4, 15], "step": 185, "ordinal_position": 186}, {"identifier": "U49", "position": [3, 15], "step": 186, "ordinal_position": 187}, {"identifier": "H08", "position": [3, 14], "step": 187, "ordinal_position": 188}, {"identifier": "S55", "position": [3, 13], "step": 188, "ordinal_position": 189}, {"identifier": "T96", "position": [4, 13], "step": 189, "ordinal_position": 190}, {"identifier": "S05", "position": [5, 13], "step": 190, "ordinal_position": 191}, {"identifier": "W10", "position": [6, 13], "step": 191, "ordinal_position": 192}, {"identifier": "N06", "position": [7, 13], "step": 192, "ordinal_position": 193}, {"identifier": "S28", "position": [7, 14], "step": 193, "ordinal_position": 194}, {"identifier": "F51", "position": [7, 15], "step": 194, "ordinal_position": 195}, {"identifier": "X79", "position": [6, 15], "step": 195, "ordinal_position": 196}, {"identifier": "D57", "position": [5, 15], "step": 196, "ordinal_position": 197}, {"identifier": "I39", "position": [4, 15], "step": 197, "ordinal_position": 198}, {"identifier": "U49", "position": [3, 15], "step": 198, "ordinal_position": 199}, {"identifier": "H08", "position": [3, 14], "step": 199, "ordinal_position": 200}, {"identifier": "S55", "position": [3, 13], "step": 200, "ordinal_position": 201}, {"identifier": "T96", "position": [4, 13], "step": 201, "ordinal_position": 202}, {"identifier": "S05", "position": [5, 13], "step": 202, "ordinal_position": 203}, {"identifier": "W10", "position": [6, 13], "step": 203, "ordinal_position": 204}, {"identifier": "N06", "position": [7, 13], "step": 204, "ordinal_position": 205}, {"identifier": "S28", "position": [7, 14], "step": 205, "ordinal_position": 206}, {"identifier": "F51", "position": [7, 15], "step": 206, "ordinal_position": 207}, {"identifier": "X79", "position": [6, 15], "step": 207, "ordinal_position": 208}, {"identifier": "D57", "position": [5, 15], "step": 208, "ordinal_position": 209}, {"identifier": "I39", "position": [4, 15], "step": 209, "ordinal_position": 210}, {"identifier": "U49", "position": [3, 15], "step": 210, "ordinal_position": 211}, {"identifier": "H08", "position": [3, 14], "step": 211, "ordinal_position": 212}, {"identifier": "S55", "position": [3, 13], "step": 212, "ordinal_position": 213}, {"identifier": "T96", "position": [4, 13], "step": 213, "ordinal_position": 214}, {"identifier": "S05", "position": [5, 13], "step": 214, "ordinal_position": 215}, {"identifier": "W10", "position": [6, 13], "step": 215, "ordinal_position": 216}, {"identifier": "N06", "position": [7, 13], "step": 216, "ordinal_position": 217}, {"identifier": "S28", "position": [7, 14], "step": 217, "ordinal_position": 218}, {"identifier": "F51", "position": [7, 15], "step": 218, "ordinal_position": 219}, {"identifier": "X79", "position": [6, 15], "step": 219, "ordinal_position": 220}, {"identifier": "D57", "position": [5, 15], "step": 220, "ordinal_position": 221}, {"identifier": "I39", "position": [4, 15], "step": 221, "ordinal_position": 222}, {"identifier": "U49", "position": [3, 15], "step": 222, "ordinal_position": 223}, {"identifier": "H08", "position": [3, 14], "step": 223, "ordinal_position": 224}, {"identifier": "S55", "position": [3, 13], "step": 224, "ordinal_position": 225}, {"identifier": "T96", "position": [4, 13], "step": 225, "ordinal_position": 226}, {"identifier": "S05", "position": [5, 13], "step": 226, "ordinal_position": 227}, {"identifier": "W10", "position": [6, 13], "step": 227, "ordinal_position": 228}, {"identifier": "N06", "position": [7, 13], "step": 228, "ordinal_position": 229}, {"identifier": "S28", "position": [7, 14], "step": 229, "ordinal_position": 230}, {"identifier": "F51", "position": [7, 15], "step": 230, "ordinal_position": 231}, {"identifier": "X79", "position": [6, 15], "step": 231, "ordinal_position": 232}, {"identifier": "D57", "position": [5, 15], "step": 232, "ordinal_position": 233}, {"identifier": "I39", "position": [4, 15], "step": 233, "ordinal_position": 234}, {"identifier": "U49", "position": [3, 15], "step": 234, "ordinal_position": 235}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 235, "direction": "right", "turn_preference": "right", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_011.json"}} {"qa_id": "6c92db08985545b288fa05961cb8f3f5", "image_id": "L3-MazeLoop-test_21x21_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B92, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 220th position in this traversal?", "start_object_id": "B92", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [220], "ordinal_strings": ["220th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "I20", "traversal_path": [{"identifier": "B92", "position": [18, 19], "step": 0, "ordinal_position": 1}, {"identifier": "O27", "position": [17, 19], "step": 1, "ordinal_position": 2}, {"identifier": "S45", "position": [16, 19], "step": 2, "ordinal_position": 3}, {"identifier": "S99", "position": [15, 19], "step": 3, "ordinal_position": 4}, {"identifier": "D06", "position": [14, 19], "step": 4, "ordinal_position": 5}, {"identifier": "V24", "position": [13, 19], "step": 5, "ordinal_position": 6}, {"identifier": "P89", "position": [12, 19], "step": 6, "ordinal_position": 7}, {"identifier": "R56", "position": [11, 19], "step": 7, "ordinal_position": 8}, {"identifier": "D19", "position": [10, 19], "step": 8, "ordinal_position": 9}, {"identifier": "S94", "position": [9, 19], "step": 9, "ordinal_position": 10}, {"identifier": "L33", "position": [8, 19], "step": 10, "ordinal_position": 11}, {"identifier": "U58", "position": [7, 19], "step": 11, "ordinal_position": 12}, {"identifier": "D43", "position": [6, 19], "step": 12, "ordinal_position": 13}, {"identifier": "F57", "position": [5, 19], "step": 13, "ordinal_position": 14}, {"identifier": "V07", "position": [4, 19], "step": 14, "ordinal_position": 15}, {"identifier": "F86", "position": [3, 19], "step": 15, "ordinal_position": 16}, {"identifier": "R04", "position": [2, 19], "step": 16, "ordinal_position": 17}, {"identifier": "I29", "position": [1, 19], "step": 17, "ordinal_position": 18}, {"identifier": "J42", "position": [1, 18], "step": 18, "ordinal_position": 19}, {"identifier": "N39", "position": [1, 17], "step": 19, "ordinal_position": 20}, {"identifier": "P07", "position": [1, 16], "step": 20, "ordinal_position": 21}, {"identifier": "R26", "position": [1, 15], "step": 21, "ordinal_position": 22}, {"identifier": "C62", "position": [1, 14], "step": 22, "ordinal_position": 23}, {"identifier": "K47", "position": [1, 13], "step": 23, "ordinal_position": 24}, {"identifier": "M70", "position": [1, 12], "step": 24, "ordinal_position": 25}, {"identifier": "R08", "position": [1, 11], "step": 25, "ordinal_position": 26}, {"identifier": "K53", "position": [2, 11], "step": 26, "ordinal_position": 27}, {"identifier": "W36", "position": [3, 11], "step": 27, "ordinal_position": 28}, {"identifier": "E73", "position": [3, 10], "step": 28, "ordinal_position": 29}, {"identifier": "U33", "position": [3, 9], "step": 29, "ordinal_position": 30}, {"identifier": "Y88", "position": [2, 9], "step": 30, "ordinal_position": 31}, {"identifier": "B82", "position": [1, 9], "step": 31, "ordinal_position": 32}, {"identifier": "I16", "position": [1, 8], "step": 32, "ordinal_position": 33}, {"identifier": "V37", "position": [1, 7], "step": 33, "ordinal_position": 34}, {"identifier": "O64", "position": [1, 6], "step": 34, "ordinal_position": 35}, {"identifier": "D77", "position": [1, 5], "step": 35, "ordinal_position": 36}, {"identifier": "N12", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "P98", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "X37", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "H77", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "H33", "position": [2, 1], "step": 40, "ordinal_position": 41}, {"identifier": "G94", "position": [3, 1], "step": 41, "ordinal_position": 42}, {"identifier": "A27", "position": [4, 1], "step": 42, "ordinal_position": 43}, {"identifier": "B01", "position": [5, 1], "step": 43, "ordinal_position": 44}, {"identifier": "A46", "position": [6, 1], "step": 44, "ordinal_position": 45}, {"identifier": "N99", "position": [7, 1], "step": 45, "ordinal_position": 46}, {"identifier": "J17", "position": [8, 1], "step": 46, "ordinal_position": 47}, {"identifier": "S74", "position": [9, 1], "step": 47, "ordinal_position": 48}, {"identifier": "F32", "position": [10, 1], "step": 48, "ordinal_position": 49}, {"identifier": "E05", "position": [11, 1], "step": 49, "ordinal_position": 50}, {"identifier": "V74", "position": [11, 2], "step": 50, "ordinal_position": 51}, {"identifier": "I76", "position": [11, 3], "step": 51, "ordinal_position": 52}, {"identifier": "P91", "position": [10, 3], "step": 52, "ordinal_position": 53}, {"identifier": "S04", "position": [9, 3], "step": 53, "ordinal_position": 54}, {"identifier": "O83", "position": [8, 3], "step": 54, "ordinal_position": 55}, {"identifier": "E72", "position": [7, 3], "step": 55, "ordinal_position": 56}, {"identifier": "C96", "position": [7, 4], "step": 56, "ordinal_position": 57}, {"identifier": "W54", "position": [7, 5], "step": 57, "ordinal_position": 58}, {"identifier": "B66", "position": [7, 6], "step": 58, "ordinal_position": 59}, {"identifier": "Y62", "position": [7, 7], "step": 59, "ordinal_position": 60}, {"identifier": "A73", "position": [7, 8], "step": 60, "ordinal_position": 61}, {"identifier": "L27", "position": [7, 9], "step": 61, "ordinal_position": 62}, {"identifier": "Z77", "position": [7, 10], "step": 62, "ordinal_position": 63}, {"identifier": "Z16", "position": [7, 11], "step": 63, "ordinal_position": 64}, {"identifier": "T91", "position": [8, 11], "step": 64, "ordinal_position": 65}, {"identifier": "K72", "position": [9, 11], "step": 65, "ordinal_position": 66}, {"identifier": "X88", "position": [9, 10], "step": 66, "ordinal_position": 67}, {"identifier": "N52", "position": [9, 9], "step": 67, "ordinal_position": 68}, {"identifier": "R64", "position": [9, 8], "step": 68, "ordinal_position": 69}, {"identifier": "M74", "position": [9, 7], "step": 69, "ordinal_position": 70}, {"identifier": "T34", "position": [10, 7], "step": 70, "ordinal_position": 71}, {"identifier": "B43", "position": [11, 7], "step": 71, "ordinal_position": 72}, {"identifier": "V92", "position": [12, 7], "step": 72, "ordinal_position": 73}, {"identifier": "F77", "position": [13, 7], "step": 73, "ordinal_position": 74}, {"identifier": "L15", "position": [14, 7], "step": 74, "ordinal_position": 75}, {"identifier": "F66", "position": [15, 7], "step": 75, "ordinal_position": 76}, {"identifier": "G52", "position": [15, 8], "step": 76, "ordinal_position": 77}, {"identifier": "X10", "position": [15, 9], "step": 77, "ordinal_position": 78}, {"identifier": "T75", "position": [14, 9], "step": 78, "ordinal_position": 79}, {"identifier": "T69", "position": [13, 9], "step": 79, "ordinal_position": 80}, {"identifier": "I99", "position": [12, 9], "step": 80, "ordinal_position": 81}, {"identifier": "Z05", "position": [11, 9], "step": 81, "ordinal_position": 82}, {"identifier": "A44", "position": [11, 10], "step": 82, "ordinal_position": 83}, {"identifier": "V83", "position": [11, 11], "step": 83, "ordinal_position": 84}, {"identifier": "D18", "position": [11, 12], "step": 84, "ordinal_position": 85}, {"identifier": "Z62", "position": [11, 13], "step": 85, "ordinal_position": 86}, {"identifier": "J89", "position": [12, 13], "step": 86, "ordinal_position": 87}, {"identifier": "J92", "position": [13, 13], "step": 87, "ordinal_position": 88}, {"identifier": "G92", "position": [13, 14], "step": 88, "ordinal_position": 89}, {"identifier": "S10", "position": [13, 15], "step": 89, "ordinal_position": 90}, {"identifier": "O05", "position": [13, 16], "step": 90, "ordinal_position": 91}, {"identifier": "K48", "position": [13, 17], "step": 91, "ordinal_position": 92}, {"identifier": "W16", "position": [12, 17], "step": 92, "ordinal_position": 93}, {"identifier": "D28", "position": [11, 17], "step": 93, "ordinal_position": 94}, {"identifier": "I73", "position": [10, 17], "step": 94, "ordinal_position": 95}, {"identifier": "O41", "position": [9, 17], "step": 95, "ordinal_position": 96}, {"identifier": "F59", "position": [8, 17], "step": 96, "ordinal_position": 97}, {"identifier": "I77", "position": [7, 17], "step": 97, "ordinal_position": 98}, {"identifier": "Z63", "position": [6, 17], "step": 98, "ordinal_position": 99}, {"identifier": "D59", "position": [5, 17], "step": 99, "ordinal_position": 100}, {"identifier": "N55", "position": [4, 17], "step": 100, "ordinal_position": 101}, {"identifier": "X86", "position": [3, 17], "step": 101, "ordinal_position": 102}, {"identifier": "X29", "position": [3, 16], "step": 102, "ordinal_position": 103}, {"identifier": "U49", "position": [3, 15], "step": 103, "ordinal_position": 104}, {"identifier": "H08", "position": [3, 14], "step": 104, "ordinal_position": 105}, {"identifier": "S55", "position": [3, 13], "step": 105, "ordinal_position": 106}, {"identifier": "T96", "position": [4, 13], "step": 106, "ordinal_position": 107}, {"identifier": "S05", "position": [5, 13], "step": 107, "ordinal_position": 108}, {"identifier": "W10", "position": [6, 13], "step": 108, "ordinal_position": 109}, {"identifier": "N06", "position": [7, 13], "step": 109, "ordinal_position": 110}, {"identifier": "S28", "position": [7, 14], "step": 110, "ordinal_position": 111}, {"identifier": "F51", "position": [7, 15], "step": 111, "ordinal_position": 112}, {"identifier": "X79", "position": [6, 15], "step": 112, "ordinal_position": 113}, {"identifier": "D57", "position": [5, 15], "step": 113, "ordinal_position": 114}, {"identifier": "I39", "position": [4, 15], "step": 114, "ordinal_position": 115}, {"identifier": "U49", "position": [3, 15], "step": 115, "ordinal_position": 116}, {"identifier": "X29", "position": [3, 16], "step": 116, "ordinal_position": 117}, {"identifier": "X86", "position": [3, 17], "step": 117, "ordinal_position": 118}, {"identifier": "N55", "position": [4, 17], "step": 118, "ordinal_position": 119}, {"identifier": "D59", "position": [5, 17], "step": 119, "ordinal_position": 120}, {"identifier": "Z63", "position": [6, 17], "step": 120, "ordinal_position": 121}, {"identifier": "I77", "position": [7, 17], "step": 121, "ordinal_position": 122}, {"identifier": "F59", "position": [8, 17], "step": 122, "ordinal_position": 123}, {"identifier": "O41", "position": [9, 17], "step": 123, "ordinal_position": 124}, {"identifier": "I73", "position": [10, 17], "step": 124, "ordinal_position": 125}, {"identifier": "D28", "position": [11, 17], "step": 125, "ordinal_position": 126}, {"identifier": "W16", "position": [12, 17], "step": 126, "ordinal_position": 127}, {"identifier": "K48", "position": [13, 17], "step": 127, "ordinal_position": 128}, {"identifier": "O05", "position": [13, 16], "step": 128, "ordinal_position": 129}, {"identifier": "S10", "position": [13, 15], "step": 129, "ordinal_position": 130}, {"identifier": "G92", "position": [13, 14], "step": 130, "ordinal_position": 131}, {"identifier": "J92", "position": [13, 13], "step": 131, "ordinal_position": 132}, {"identifier": "J89", "position": [12, 13], "step": 132, "ordinal_position": 133}, {"identifier": "Z62", "position": [11, 13], "step": 133, "ordinal_position": 134}, {"identifier": "D18", "position": [11, 12], "step": 134, "ordinal_position": 135}, {"identifier": "V83", "position": [11, 11], "step": 135, "ordinal_position": 136}, {"identifier": "A44", "position": [11, 10], "step": 136, "ordinal_position": 137}, {"identifier": "Z05", "position": [11, 9], "step": 137, "ordinal_position": 138}, {"identifier": "I99", "position": [12, 9], "step": 138, "ordinal_position": 139}, {"identifier": "T69", "position": [13, 9], "step": 139, "ordinal_position": 140}, {"identifier": "T75", "position": [14, 9], "step": 140, "ordinal_position": 141}, {"identifier": "X10", "position": [15, 9], "step": 141, "ordinal_position": 142}, {"identifier": "G52", "position": [15, 8], "step": 142, "ordinal_position": 143}, {"identifier": "F66", "position": [15, 7], "step": 143, "ordinal_position": 144}, {"identifier": "L15", "position": [14, 7], "step": 144, "ordinal_position": 145}, {"identifier": "F77", "position": [13, 7], "step": 145, "ordinal_position": 146}, {"identifier": "V92", "position": [12, 7], "step": 146, "ordinal_position": 147}, {"identifier": "B43", "position": [11, 7], "step": 147, "ordinal_position": 148}, {"identifier": "T34", "position": [10, 7], "step": 148, "ordinal_position": 149}, {"identifier": "M74", "position": [9, 7], "step": 149, "ordinal_position": 150}, {"identifier": "R64", "position": [9, 8], "step": 150, "ordinal_position": 151}, {"identifier": "N52", "position": [9, 9], "step": 151, "ordinal_position": 152}, {"identifier": "X88", "position": [9, 10], "step": 152, "ordinal_position": 153}, {"identifier": "K72", "position": [9, 11], "step": 153, "ordinal_position": 154}, {"identifier": "U41", "position": [9, 12], "step": 154, "ordinal_position": 155}, {"identifier": "I20", "position": [9, 13], "step": 155, "ordinal_position": 156}, {"identifier": "K91", "position": [9, 14], "step": 156, "ordinal_position": 157}, {"identifier": "P06", "position": [9, 15], "step": 157, "ordinal_position": 158}, {"identifier": "U67", "position": [10, 15], "step": 158, "ordinal_position": 159}, {"identifier": "M91", "position": [11, 15], "step": 159, "ordinal_position": 160}, {"identifier": "P43", "position": [12, 15], "step": 160, "ordinal_position": 161}, {"identifier": "S10", "position": [13, 15], "step": 161, "ordinal_position": 162}, {"identifier": "G92", "position": [13, 14], "step": 162, "ordinal_position": 163}, {"identifier": "J92", "position": [13, 13], "step": 163, "ordinal_position": 164}, {"identifier": "J89", "position": [12, 13], "step": 164, "ordinal_position": 165}, {"identifier": "Z62", "position": [11, 13], "step": 165, "ordinal_position": 166}, {"identifier": "D18", "position": [11, 12], "step": 166, "ordinal_position": 167}, {"identifier": "V83", "position": [11, 11], "step": 167, "ordinal_position": 168}, {"identifier": "A44", "position": [11, 10], "step": 168, "ordinal_position": 169}, {"identifier": "Z05", "position": [11, 9], "step": 169, "ordinal_position": 170}, {"identifier": "I99", "position": [12, 9], "step": 170, "ordinal_position": 171}, {"identifier": "T69", "position": [13, 9], "step": 171, "ordinal_position": 172}, {"identifier": "T75", "position": [14, 9], "step": 172, "ordinal_position": 173}, {"identifier": "X10", "position": [15, 9], "step": 173, "ordinal_position": 174}, {"identifier": "G52", "position": [15, 8], "step": 174, "ordinal_position": 175}, {"identifier": "F66", "position": [15, 7], "step": 175, "ordinal_position": 176}, {"identifier": "L15", "position": [14, 7], "step": 176, "ordinal_position": 177}, {"identifier": "F77", "position": [13, 7], "step": 177, "ordinal_position": 178}, {"identifier": "V92", "position": [12, 7], "step": 178, "ordinal_position": 179}, {"identifier": "B43", "position": [11, 7], "step": 179, "ordinal_position": 180}, {"identifier": "T34", "position": [10, 7], "step": 180, "ordinal_position": 181}, {"identifier": "M74", "position": [9, 7], "step": 181, "ordinal_position": 182}, {"identifier": "R64", "position": [9, 8], "step": 182, "ordinal_position": 183}, {"identifier": "N52", "position": [9, 9], "step": 183, "ordinal_position": 184}, {"identifier": "X88", "position": [9, 10], "step": 184, "ordinal_position": 185}, {"identifier": "K72", "position": [9, 11], "step": 185, "ordinal_position": 186}, {"identifier": "U41", "position": [9, 12], "step": 186, "ordinal_position": 187}, {"identifier": "I20", "position": [9, 13], "step": 187, "ordinal_position": 188}, {"identifier": "K91", "position": [9, 14], "step": 188, "ordinal_position": 189}, {"identifier": "P06", "position": [9, 15], "step": 189, "ordinal_position": 190}, {"identifier": "U67", "position": [10, 15], "step": 190, "ordinal_position": 191}, {"identifier": "M91", "position": [11, 15], "step": 191, "ordinal_position": 192}, {"identifier": "P43", "position": [12, 15], "step": 192, "ordinal_position": 193}, {"identifier": "S10", "position": [13, 15], "step": 193, "ordinal_position": 194}, {"identifier": "G92", "position": [13, 14], "step": 194, "ordinal_position": 195}, {"identifier": "J92", "position": [13, 13], "step": 195, "ordinal_position": 196}, {"identifier": "J89", "position": [12, 13], "step": 196, "ordinal_position": 197}, {"identifier": "Z62", "position": [11, 13], "step": 197, "ordinal_position": 198}, {"identifier": "D18", "position": [11, 12], "step": 198, "ordinal_position": 199}, {"identifier": "V83", "position": [11, 11], "step": 199, "ordinal_position": 200}, {"identifier": "A44", "position": [11, 10], "step": 200, "ordinal_position": 201}, {"identifier": "Z05", "position": [11, 9], "step": 201, "ordinal_position": 202}, {"identifier": "I99", "position": [12, 9], "step": 202, "ordinal_position": 203}, {"identifier": "T69", "position": [13, 9], "step": 203, "ordinal_position": 204}, {"identifier": "T75", "position": [14, 9], "step": 204, "ordinal_position": 205}, {"identifier": "X10", "position": [15, 9], "step": 205, "ordinal_position": 206}, {"identifier": "G52", "position": [15, 8], "step": 206, "ordinal_position": 207}, {"identifier": "F66", "position": [15, 7], "step": 207, "ordinal_position": 208}, {"identifier": "L15", "position": [14, 7], "step": 208, "ordinal_position": 209}, {"identifier": "F77", "position": [13, 7], "step": 209, "ordinal_position": 210}, {"identifier": "V92", "position": [12, 7], "step": 210, "ordinal_position": 211}, {"identifier": "B43", "position": [11, 7], "step": 211, "ordinal_position": 212}, {"identifier": "T34", "position": [10, 7], "step": 212, "ordinal_position": 213}, {"identifier": "M74", "position": [9, 7], "step": 213, "ordinal_position": 214}, {"identifier": "R64", "position": [9, 8], "step": 214, "ordinal_position": 215}, {"identifier": "N52", "position": [9, 9], "step": 215, "ordinal_position": 216}, {"identifier": "X88", "position": [9, 10], "step": 216, "ordinal_position": 217}, {"identifier": "K72", "position": [9, 11], "step": 217, "ordinal_position": 218}, {"identifier": "U41", "position": [9, 12], "step": 218, "ordinal_position": 219}, {"identifier": "I20", "position": [9, 13], "step": 219, "ordinal_position": 220}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 220, "direction": "left", "turn_preference": "left", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_011.json"}} {"qa_id": "4587a0b481b6481fbb1edac35b50b1b1", "image_id": "L3-MazeLoop-test_21x21_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A59, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 156th position in this traversal?", "start_object_id": "A59", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [156], "ordinal_strings": ["156th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "N06", "traversal_path": [{"identifier": "A59", "position": [10, 5], "step": 0, "ordinal_position": 1}, {"identifier": "V31", "position": [9, 5], "step": 1, "ordinal_position": 2}, {"identifier": "Z97", "position": [8, 5], "step": 2, "ordinal_position": 3}, {"identifier": "W54", "position": [7, 5], "step": 3, "ordinal_position": 4}, {"identifier": "C96", "position": [7, 4], "step": 4, "ordinal_position": 5}, {"identifier": "E72", "position": [7, 3], "step": 5, "ordinal_position": 6}, {"identifier": "O83", "position": [8, 3], "step": 6, "ordinal_position": 7}, {"identifier": "S04", "position": [9, 3], "step": 7, "ordinal_position": 8}, {"identifier": "P91", "position": [10, 3], "step": 8, "ordinal_position": 9}, {"identifier": "I76", "position": [11, 3], "step": 9, "ordinal_position": 10}, {"identifier": "V74", "position": [11, 2], "step": 10, "ordinal_position": 11}, {"identifier": "E05", "position": [11, 1], "step": 11, "ordinal_position": 12}, {"identifier": "F32", "position": [10, 1], "step": 12, "ordinal_position": 13}, {"identifier": "S74", "position": [9, 1], "step": 13, "ordinal_position": 14}, {"identifier": "J17", "position": [8, 1], "step": 14, "ordinal_position": 15}, {"identifier": "N99", "position": [7, 1], "step": 15, "ordinal_position": 16}, {"identifier": "A46", "position": [6, 1], "step": 16, "ordinal_position": 17}, {"identifier": "B01", "position": [5, 1], "step": 17, "ordinal_position": 18}, {"identifier": "A27", "position": [4, 1], "step": 18, "ordinal_position": 19}, {"identifier": "G94", "position": [3, 1], "step": 19, "ordinal_position": 20}, {"identifier": "H33", "position": [2, 1], "step": 20, "ordinal_position": 21}, {"identifier": "H77", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "X37", "position": [1, 2], "step": 22, "ordinal_position": 23}, {"identifier": "P98", "position": [1, 3], "step": 23, "ordinal_position": 24}, {"identifier": "N12", "position": [1, 4], "step": 24, "ordinal_position": 25}, {"identifier": "D77", "position": [1, 5], "step": 25, "ordinal_position": 26}, {"identifier": "O64", "position": [1, 6], "step": 26, "ordinal_position": 27}, {"identifier": "V37", "position": [1, 7], "step": 27, "ordinal_position": 28}, {"identifier": "I16", "position": [1, 8], "step": 28, "ordinal_position": 29}, {"identifier": "B82", "position": [1, 9], "step": 29, "ordinal_position": 30}, {"identifier": "Y88", "position": [2, 9], "step": 30, "ordinal_position": 31}, {"identifier": "U33", "position": [3, 9], "step": 31, "ordinal_position": 32}, {"identifier": "F30", "position": [4, 9], "step": 32, "ordinal_position": 33}, {"identifier": "X93", "position": [5, 9], "step": 33, "ordinal_position": 34}, {"identifier": "N37", "position": [5, 10], "step": 34, "ordinal_position": 35}, {"identifier": "E62", "position": [5, 11], "step": 35, "ordinal_position": 36}, {"identifier": "T44", "position": [5, 12], "step": 36, "ordinal_position": 37}, {"identifier": "S05", "position": [5, 13], "step": 37, "ordinal_position": 38}, {"identifier": "T96", "position": [4, 13], "step": 38, "ordinal_position": 39}, {"identifier": "S55", "position": [3, 13], "step": 39, "ordinal_position": 40}, {"identifier": "H08", "position": [3, 14], "step": 40, "ordinal_position": 41}, {"identifier": "U49", "position": [3, 15], "step": 41, "ordinal_position": 42}, {"identifier": "X29", "position": [3, 16], "step": 42, "ordinal_position": 43}, {"identifier": "X86", "position": [3, 17], "step": 43, "ordinal_position": 44}, {"identifier": "N55", "position": [4, 17], "step": 44, "ordinal_position": 45}, {"identifier": "D59", "position": [5, 17], "step": 45, "ordinal_position": 46}, {"identifier": "Z63", "position": [6, 17], "step": 46, "ordinal_position": 47}, {"identifier": "I77", "position": [7, 17], "step": 47, "ordinal_position": 48}, {"identifier": "F59", "position": [8, 17], "step": 48, "ordinal_position": 49}, {"identifier": "O41", "position": [9, 17], "step": 49, "ordinal_position": 50}, {"identifier": "I73", "position": [10, 17], "step": 50, "ordinal_position": 51}, {"identifier": "D28", "position": [11, 17], "step": 51, "ordinal_position": 52}, {"identifier": "W16", "position": [12, 17], "step": 52, "ordinal_position": 53}, {"identifier": "K48", "position": [13, 17], "step": 53, "ordinal_position": 54}, {"identifier": "O05", "position": [13, 16], "step": 54, "ordinal_position": 55}, {"identifier": "S10", "position": [13, 15], "step": 55, "ordinal_position": 56}, {"identifier": "G92", "position": [13, 14], "step": 56, "ordinal_position": 57}, {"identifier": "J92", "position": [13, 13], "step": 57, "ordinal_position": 58}, {"identifier": "J89", "position": [12, 13], "step": 58, "ordinal_position": 59}, {"identifier": "Z62", "position": [11, 13], "step": 59, "ordinal_position": 60}, {"identifier": "D18", "position": [11, 12], "step": 60, "ordinal_position": 61}, {"identifier": "V83", "position": [11, 11], "step": 61, "ordinal_position": 62}, {"identifier": "A44", "position": [11, 10], "step": 62, "ordinal_position": 63}, {"identifier": "Z05", "position": [11, 9], "step": 63, "ordinal_position": 64}, {"identifier": "I99", "position": [12, 9], "step": 64, "ordinal_position": 65}, {"identifier": "T69", "position": [13, 9], "step": 65, "ordinal_position": 66}, {"identifier": "T75", "position": [14, 9], "step": 66, "ordinal_position": 67}, {"identifier": "X10", "position": [15, 9], "step": 67, "ordinal_position": 68}, {"identifier": "G52", "position": [15, 8], "step": 68, "ordinal_position": 69}, {"identifier": "F66", "position": [15, 7], "step": 69, "ordinal_position": 70}, {"identifier": "L15", "position": [14, 7], "step": 70, "ordinal_position": 71}, {"identifier": "F77", "position": [13, 7], "step": 71, "ordinal_position": 72}, {"identifier": "V92", "position": [12, 7], "step": 72, "ordinal_position": 73}, {"identifier": "B43", "position": [11, 7], "step": 73, "ordinal_position": 74}, {"identifier": "T34", "position": [10, 7], "step": 74, "ordinal_position": 75}, {"identifier": "M74", "position": [9, 7], "step": 75, "ordinal_position": 76}, {"identifier": "R64", "position": [9, 8], "step": 76, "ordinal_position": 77}, {"identifier": "N52", "position": [9, 9], "step": 77, "ordinal_position": 78}, {"identifier": "X88", "position": [9, 10], "step": 78, "ordinal_position": 79}, {"identifier": "K72", "position": [9, 11], "step": 79, "ordinal_position": 80}, {"identifier": "U41", "position": [9, 12], "step": 80, "ordinal_position": 81}, {"identifier": "I20", "position": [9, 13], "step": 81, "ordinal_position": 82}, {"identifier": "K91", "position": [9, 14], "step": 82, "ordinal_position": 83}, {"identifier": "P06", "position": [9, 15], "step": 83, "ordinal_position": 84}, {"identifier": "U67", "position": [10, 15], "step": 84, "ordinal_position": 85}, {"identifier": "M91", "position": [11, 15], "step": 85, "ordinal_position": 86}, {"identifier": "P43", "position": [12, 15], "step": 86, "ordinal_position": 87}, {"identifier": "S10", "position": [13, 15], "step": 87, "ordinal_position": 88}, {"identifier": "O05", "position": [13, 16], "step": 88, "ordinal_position": 89}, {"identifier": "K48", "position": [13, 17], "step": 89, "ordinal_position": 90}, {"identifier": "W16", "position": [12, 17], "step": 90, "ordinal_position": 91}, {"identifier": "D28", "position": [11, 17], "step": 91, "ordinal_position": 92}, {"identifier": "I73", "position": [10, 17], "step": 92, "ordinal_position": 93}, {"identifier": "O41", "position": [9, 17], "step": 93, "ordinal_position": 94}, {"identifier": "F59", "position": [8, 17], "step": 94, "ordinal_position": 95}, {"identifier": "I77", "position": [7, 17], "step": 95, "ordinal_position": 96}, {"identifier": "Z63", "position": [6, 17], "step": 96, "ordinal_position": 97}, {"identifier": "D59", "position": [5, 17], "step": 97, "ordinal_position": 98}, {"identifier": "N55", "position": [4, 17], "step": 98, "ordinal_position": 99}, {"identifier": "X86", "position": [3, 17], "step": 99, "ordinal_position": 100}, {"identifier": "X29", "position": [3, 16], "step": 100, "ordinal_position": 101}, {"identifier": "U49", "position": [3, 15], "step": 101, "ordinal_position": 102}, {"identifier": "H08", "position": [3, 14], "step": 102, "ordinal_position": 103}, {"identifier": "S55", "position": [3, 13], "step": 103, "ordinal_position": 104}, {"identifier": "T96", "position": [4, 13], "step": 104, "ordinal_position": 105}, {"identifier": "S05", "position": [5, 13], "step": 105, "ordinal_position": 106}, {"identifier": "W10", "position": [6, 13], "step": 106, "ordinal_position": 107}, {"identifier": "N06", "position": [7, 13], "step": 107, "ordinal_position": 108}, {"identifier": "S28", "position": [7, 14], "step": 108, "ordinal_position": 109}, {"identifier": "F51", "position": [7, 15], "step": 109, "ordinal_position": 110}, {"identifier": "X79", "position": [6, 15], "step": 110, "ordinal_position": 111}, {"identifier": "D57", "position": [5, 15], "step": 111, "ordinal_position": 112}, {"identifier": "I39", "position": [4, 15], "step": 112, "ordinal_position": 113}, {"identifier": "U49", "position": [3, 15], "step": 113, "ordinal_position": 114}, {"identifier": "H08", "position": [3, 14], "step": 114, "ordinal_position": 115}, {"identifier": "S55", "position": [3, 13], "step": 115, "ordinal_position": 116}, {"identifier": "T96", "position": [4, 13], "step": 116, "ordinal_position": 117}, {"identifier": "S05", "position": [5, 13], "step": 117, "ordinal_position": 118}, {"identifier": "W10", "position": [6, 13], "step": 118, "ordinal_position": 119}, {"identifier": "N06", "position": [7, 13], "step": 119, "ordinal_position": 120}, {"identifier": "S28", "position": [7, 14], "step": 120, "ordinal_position": 121}, {"identifier": "F51", "position": [7, 15], "step": 121, "ordinal_position": 122}, {"identifier": "X79", "position": [6, 15], "step": 122, "ordinal_position": 123}, {"identifier": "D57", "position": [5, 15], "step": 123, "ordinal_position": 124}, {"identifier": "I39", "position": [4, 15], "step": 124, "ordinal_position": 125}, {"identifier": "U49", "position": [3, 15], "step": 125, "ordinal_position": 126}, {"identifier": "H08", "position": [3, 14], "step": 126, "ordinal_position": 127}, {"identifier": "S55", "position": [3, 13], "step": 127, "ordinal_position": 128}, {"identifier": "T96", "position": [4, 13], "step": 128, "ordinal_position": 129}, {"identifier": "S05", "position": [5, 13], "step": 129, "ordinal_position": 130}, {"identifier": "W10", "position": [6, 13], "step": 130, "ordinal_position": 131}, {"identifier": "N06", "position": [7, 13], "step": 131, "ordinal_position": 132}, {"identifier": "S28", "position": [7, 14], "step": 132, "ordinal_position": 133}, {"identifier": "F51", "position": [7, 15], "step": 133, "ordinal_position": 134}, {"identifier": "X79", "position": [6, 15], "step": 134, "ordinal_position": 135}, {"identifier": "D57", "position": [5, 15], "step": 135, "ordinal_position": 136}, {"identifier": "I39", "position": [4, 15], "step": 136, "ordinal_position": 137}, {"identifier": "U49", "position": [3, 15], "step": 137, "ordinal_position": 138}, {"identifier": "H08", "position": [3, 14], "step": 138, "ordinal_position": 139}, {"identifier": "S55", "position": [3, 13], "step": 139, "ordinal_position": 140}, {"identifier": "T96", "position": [4, 13], "step": 140, "ordinal_position": 141}, {"identifier": "S05", "position": [5, 13], "step": 141, "ordinal_position": 142}, {"identifier": "W10", "position": [6, 13], "step": 142, "ordinal_position": 143}, {"identifier": "N06", "position": [7, 13], "step": 143, "ordinal_position": 144}, {"identifier": "S28", "position": [7, 14], "step": 144, "ordinal_position": 145}, {"identifier": "F51", "position": [7, 15], "step": 145, "ordinal_position": 146}, {"identifier": "X79", "position": [6, 15], "step": 146, "ordinal_position": 147}, {"identifier": "D57", "position": [5, 15], "step": 147, "ordinal_position": 148}, {"identifier": "I39", "position": [4, 15], "step": 148, "ordinal_position": 149}, {"identifier": "U49", "position": [3, 15], "step": 149, "ordinal_position": 150}, {"identifier": "H08", "position": [3, 14], "step": 150, "ordinal_position": 151}, {"identifier": "S55", "position": [3, 13], "step": 151, "ordinal_position": 152}, {"identifier": "T96", "position": [4, 13], "step": 152, "ordinal_position": 153}, {"identifier": "S05", "position": [5, 13], "step": 153, "ordinal_position": 154}, {"identifier": "W10", "position": [6, 13], "step": 154, "ordinal_position": 155}, {"identifier": "N06", "position": [7, 13], "step": 155, "ordinal_position": 156}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 156, "direction": "left", "turn_preference": "right", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_011.json"}} {"qa_id": "1326a289530144a48f8f0d04a34ea782", "image_id": "L3-MazeLoop-test_21x21_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S94, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 227th position in this traversal?", "start_object_id": "S94", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [227], "ordinal_strings": ["227th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "S05", "traversal_path": [{"identifier": "S94", "position": [9, 19], "step": 0, "ordinal_position": 1}, {"identifier": "D19", "position": [10, 19], "step": 1, "ordinal_position": 2}, {"identifier": "R56", "position": [11, 19], "step": 2, "ordinal_position": 3}, {"identifier": "P89", "position": [12, 19], "step": 3, "ordinal_position": 4}, {"identifier": "V24", "position": [13, 19], "step": 4, "ordinal_position": 5}, {"identifier": "D06", "position": [14, 19], "step": 5, "ordinal_position": 6}, {"identifier": "S99", "position": [15, 19], "step": 6, "ordinal_position": 7}, {"identifier": "S45", "position": [16, 19], "step": 7, "ordinal_position": 8}, {"identifier": "O27", "position": [17, 19], "step": 8, "ordinal_position": 9}, {"identifier": "B92", "position": [18, 19], "step": 9, "ordinal_position": 10}, {"identifier": "B16", "position": [19, 19], "step": 10, "ordinal_position": 11}, {"identifier": "B37", "position": [19, 18], "step": 11, "ordinal_position": 12}, {"identifier": "Z59", "position": [19, 17], "step": 12, "ordinal_position": 13}, {"identifier": "Z80", "position": [19, 16], "step": 13, "ordinal_position": 14}, {"identifier": "M96", "position": [19, 15], "step": 14, "ordinal_position": 15}, {"identifier": "Y50", "position": [19, 14], "step": 15, "ordinal_position": 16}, {"identifier": "H31", "position": [19, 13], "step": 16, "ordinal_position": 17}, {"identifier": "J27", "position": [19, 12], "step": 17, "ordinal_position": 18}, {"identifier": "B52", "position": [19, 11], "step": 18, "ordinal_position": 19}, {"identifier": "O50", "position": [19, 10], "step": 19, "ordinal_position": 20}, {"identifier": "B69", "position": [19, 9], "step": 20, "ordinal_position": 21}, {"identifier": "J72", "position": [18, 9], "step": 21, "ordinal_position": 22}, {"identifier": "V29", "position": [17, 9], "step": 22, "ordinal_position": 23}, {"identifier": "B22", "position": [17, 8], "step": 23, "ordinal_position": 24}, {"identifier": "V99", "position": [17, 7], "step": 24, "ordinal_position": 25}, {"identifier": "T38", "position": [18, 7], "step": 25, "ordinal_position": 26}, {"identifier": "P66", "position": [19, 7], "step": 26, "ordinal_position": 27}, {"identifier": "M77", "position": [19, 6], "step": 27, "ordinal_position": 28}, {"identifier": "O16", "position": [19, 5], "step": 28, "ordinal_position": 29}, {"identifier": "B28", "position": [19, 4], "step": 29, "ordinal_position": 30}, {"identifier": "O02", "position": [19, 3], "step": 30, "ordinal_position": 31}, {"identifier": "O36", "position": [19, 2], "step": 31, "ordinal_position": 32}, {"identifier": "E46", "position": [19, 1], "step": 32, "ordinal_position": 33}, {"identifier": "I06", "position": [18, 1], "step": 33, "ordinal_position": 34}, {"identifier": "S57", "position": [17, 1], "step": 34, "ordinal_position": 35}, {"identifier": "I13", "position": [16, 1], "step": 35, "ordinal_position": 36}, {"identifier": "F56", "position": [15, 1], "step": 36, "ordinal_position": 37}, {"identifier": "T30", "position": [14, 1], "step": 37, "ordinal_position": 38}, {"identifier": "D05", "position": [13, 1], "step": 38, "ordinal_position": 39}, {"identifier": "B48", "position": [13, 2], "step": 39, "ordinal_position": 40}, {"identifier": "A87", "position": [13, 3], "step": 40, "ordinal_position": 41}, {"identifier": "U36", "position": [14, 3], "step": 41, "ordinal_position": 42}, {"identifier": "L39", "position": [15, 3], "step": 42, "ordinal_position": 43}, {"identifier": "X46", "position": [16, 3], "step": 43, "ordinal_position": 44}, {"identifier": "M69", "position": [17, 3], "step": 44, "ordinal_position": 45}, {"identifier": "A91", "position": [18, 3], "step": 45, "ordinal_position": 46}, {"identifier": "O02", "position": [19, 3], "step": 46, "ordinal_position": 47}, {"identifier": "B28", "position": [19, 4], "step": 47, "ordinal_position": 48}, {"identifier": "O16", "position": [19, 5], "step": 48, "ordinal_position": 49}, {"identifier": "M77", "position": [19, 6], "step": 49, "ordinal_position": 50}, {"identifier": "P66", "position": [19, 7], "step": 50, "ordinal_position": 51}, {"identifier": "T38", "position": [18, 7], "step": 51, "ordinal_position": 52}, {"identifier": "V99", "position": [17, 7], "step": 52, "ordinal_position": 53}, {"identifier": "B22", "position": [17, 8], "step": 53, "ordinal_position": 54}, {"identifier": "V29", "position": [17, 9], "step": 54, "ordinal_position": 55}, {"identifier": "D08", "position": [17, 10], "step": 55, "ordinal_position": 56}, {"identifier": "A78", "position": [17, 11], "step": 56, "ordinal_position": 57}, {"identifier": "I94", "position": [16, 11], "step": 57, "ordinal_position": 58}, {"identifier": "Q11", "position": [15, 11], "step": 58, "ordinal_position": 59}, {"identifier": "A50", "position": [15, 12], "step": 59, "ordinal_position": 60}, {"identifier": "Q95", "position": [15, 13], "step": 60, "ordinal_position": 61}, {"identifier": "M33", "position": [15, 14], "step": 61, "ordinal_position": 62}, {"identifier": "D39", "position": [15, 15], "step": 62, "ordinal_position": 63}, {"identifier": "F05", "position": [16, 15], "step": 63, "ordinal_position": 64}, {"identifier": "L51", "position": [17, 15], "step": 64, "ordinal_position": 65}, {"identifier": "Q57", "position": [17, 14], "step": 65, "ordinal_position": 66}, {"identifier": "P74", "position": [17, 13], "step": 66, "ordinal_position": 67}, {"identifier": "S44", "position": [18, 13], "step": 67, "ordinal_position": 68}, {"identifier": "H31", "position": [19, 13], "step": 68, "ordinal_position": 69}, {"identifier": "Y50", "position": [19, 14], "step": 69, "ordinal_position": 70}, {"identifier": "M96", "position": [19, 15], "step": 70, "ordinal_position": 71}, {"identifier": "Z80", "position": [19, 16], "step": 71, "ordinal_position": 72}, {"identifier": "Z59", "position": [19, 17], "step": 72, "ordinal_position": 73}, {"identifier": "B37", "position": [19, 18], "step": 73, "ordinal_position": 74}, {"identifier": "B16", "position": [19, 19], "step": 74, "ordinal_position": 75}, {"identifier": "B92", "position": [18, 19], "step": 75, "ordinal_position": 76}, {"identifier": "O27", "position": [17, 19], "step": 76, "ordinal_position": 77}, {"identifier": "S45", "position": [16, 19], "step": 77, "ordinal_position": 78}, {"identifier": "S99", "position": [15, 19], "step": 78, "ordinal_position": 79}, {"identifier": "D06", "position": [14, 19], "step": 79, "ordinal_position": 80}, {"identifier": "V24", "position": [13, 19], "step": 80, "ordinal_position": 81}, {"identifier": "P89", "position": [12, 19], "step": 81, "ordinal_position": 82}, {"identifier": "R56", "position": [11, 19], "step": 82, "ordinal_position": 83}, {"identifier": "D19", "position": [10, 19], "step": 83, "ordinal_position": 84}, {"identifier": "S94", "position": [9, 19], "step": 84, "ordinal_position": 85}, {"identifier": "L33", 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"step": 170, "ordinal_position": 171}, {"identifier": "N55", "position": [4, 17], "step": 171, "ordinal_position": 172}, {"identifier": "X86", "position": [3, 17], "step": 172, "ordinal_position": 173}, {"identifier": "X29", "position": [3, 16], "step": 173, "ordinal_position": 174}, {"identifier": "U49", "position": [3, 15], "step": 174, "ordinal_position": 175}, {"identifier": "H08", "position": [3, 14], "step": 175, "ordinal_position": 176}, {"identifier": "S55", "position": [3, 13], "step": 176, "ordinal_position": 177}, {"identifier": "T96", "position": [4, 13], "step": 177, "ordinal_position": 178}, {"identifier": "S05", "position": [5, 13], "step": 178, "ordinal_position": 179}, {"identifier": "W10", "position": [6, 13], "step": 179, "ordinal_position": 180}, {"identifier": "N06", "position": [7, 13], "step": 180, "ordinal_position": 181}, {"identifier": "S28", "position": [7, 14], "step": 181, "ordinal_position": 182}, {"identifier": "F51", "position": [7, 15], "step": 182, "ordinal_position": 183}, {"identifier": "X79", "position": [6, 15], "step": 183, "ordinal_position": 184}, {"identifier": "D57", "position": [5, 15], "step": 184, "ordinal_position": 185}, {"identifier": "I39", "position": [4, 15], "step": 185, "ordinal_position": 186}, {"identifier": "U49", "position": [3, 15], "step": 186, "ordinal_position": 187}, {"identifier": "H08", "position": [3, 14], "step": 187, "ordinal_position": 188}, {"identifier": "S55", "position": [3, 13], "step": 188, "ordinal_position": 189}, {"identifier": "T96", "position": [4, 13], "step": 189, "ordinal_position": 190}, {"identifier": "S05", "position": [5, 13], "step": 190, "ordinal_position": 191}, {"identifier": "W10", "position": [6, 13], "step": 191, "ordinal_position": 192}, {"identifier": "N06", "position": [7, 13], "step": 192, "ordinal_position": 193}, {"identifier": "S28", "position": [7, 14], "step": 193, "ordinal_position": 194}, {"identifier": "F51", "position": [7, 15], "step": 194, "ordinal_position": 195}, {"identifier": "X79", "position": [6, 15], "step": 195, "ordinal_position": 196}, {"identifier": "D57", "position": [5, 15], "step": 196, "ordinal_position": 197}, {"identifier": "I39", "position": [4, 15], "step": 197, "ordinal_position": 198}, {"identifier": "U49", "position": [3, 15], "step": 198, "ordinal_position": 199}, {"identifier": "H08", "position": [3, 14], "step": 199, "ordinal_position": 200}, {"identifier": "S55", "position": [3, 13], "step": 200, "ordinal_position": 201}, {"identifier": "T96", "position": [4, 13], "step": 201, "ordinal_position": 202}, {"identifier": "S05", "position": [5, 13], "step": 202, "ordinal_position": 203}, {"identifier": "W10", "position": [6, 13], "step": 203, "ordinal_position": 204}, {"identifier": "N06", "position": [7, 13], "step": 204, "ordinal_position": 205}, {"identifier": "S28", "position": [7, 14], "step": 205, "ordinal_position": 206}, {"identifier": "F51", "position": [7, 15], "step": 206, "ordinal_position": 207}, {"identifier": "X79", "position": [6, 15], "step": 207, "ordinal_position": 208}, {"identifier": "D57", "position": [5, 15], "step": 208, "ordinal_position": 209}, {"identifier": "I39", "position": [4, 15], "step": 209, "ordinal_position": 210}, {"identifier": "U49", "position": [3, 15], "step": 210, "ordinal_position": 211}, {"identifier": "H08", "position": [3, 14], "step": 211, "ordinal_position": 212}, {"identifier": "S55", "position": [3, 13], "step": 212, "ordinal_position": 213}, {"identifier": "T96", "position": [4, 13], "step": 213, "ordinal_position": 214}, {"identifier": "S05", "position": [5, 13], "step": 214, "ordinal_position": 215}, {"identifier": "W10", "position": [6, 13], "step": 215, "ordinal_position": 216}, {"identifier": "N06", "position": [7, 13], "step": 216, "ordinal_position": 217}, {"identifier": "S28", "position": [7, 14], "step": 217, "ordinal_position": 218}, {"identifier": "F51", "position": [7, 15], "step": 218, "ordinal_position": 219}, {"identifier": "X79", "position": [6, 15], "step": 219, "ordinal_position": 220}, {"identifier": "D57", "position": [5, 15], "step": 220, "ordinal_position": 221}, {"identifier": "I39", "position": [4, 15], "step": 221, "ordinal_position": 222}, {"identifier": "U49", "position": [3, 15], "step": 222, "ordinal_position": 223}, {"identifier": "H08", "position": [3, 14], "step": 223, "ordinal_position": 224}, {"identifier": "S55", "position": [3, 13], "step": 224, "ordinal_position": 225}, {"identifier": "T96", "position": [4, 13], "step": 225, "ordinal_position": 226}, {"identifier": "S05", "position": [5, 13], "step": 226, "ordinal_position": 227}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 227, "direction": "right", "turn_preference": "right", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_011.json"}} {"qa_id": "703d9d58c650460c8b70e55d142a52b8", "image_id": "L3-MazeLoop-test_21x21_011", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S45, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 230th position in this traversal?", "start_object_id": "S45", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [230], "ordinal_strings": ["230th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "H31", "traversal_path": [{"identifier": "S45", "position": [16, 19], "step": 0, "ordinal_position": 1}, {"identifier": "O27", "position": [17, 19], "step": 1, "ordinal_position": 2}, {"identifier": "B92", "position": [18, 19], "step": 2, "ordinal_position": 3}, {"identifier": "B16", "position": [19, 19], "step": 3, "ordinal_position": 4}, {"identifier": "B37", "position": [19, 18], "step": 4, "ordinal_position": 5}, {"identifier": "Z59", "position": [19, 17], "step": 5, "ordinal_position": 6}, {"identifier": "Z80", "position": [19, 16], "step": 6, "ordinal_position": 7}, {"identifier": "M96", "position": [19, 15], "step": 7, "ordinal_position": 8}, {"identifier": "Y50", "position": [19, 14], "step": 8, "ordinal_position": 9}, {"identifier": "H31", "position": [19, 13], "step": 9, "ordinal_position": 10}, {"identifier": "J27", "position": [19, 12], "step": 10, "ordinal_position": 11}, {"identifier": "B52", "position": [19, 11], "step": 11, "ordinal_position": 12}, {"identifier": "O50", "position": [19, 10], "step": 12, "ordinal_position": 13}, {"identifier": "B69", "position": [19, 9], "step": 13, "ordinal_position": 14}, {"identifier": "J72", "position": [18, 9], "step": 14, "ordinal_position": 15}, {"identifier": "V29", "position": [17, 9], "step": 15, "ordinal_position": 16}, {"identifier": "D08", "position": [17, 10], "step": 16, "ordinal_position": 17}, {"identifier": "A78", "position": [17, 11], "step": 17, "ordinal_position": 18}, {"identifier": "I94", "position": [16, 11], "step": 18, "ordinal_position": 19}, {"identifier": "Q11", "position": [15, 11], "step": 19, "ordinal_position": 20}, {"identifier": "A50", "position": [15, 12], "step": 20, "ordinal_position": 21}, {"identifier": "Q95", "position": [15, 13], "step": 21, "ordinal_position": 22}, {"identifier": "M33", "position": [15, 14], "step": 22, "ordinal_position": 23}, {"identifier": "D39", "position": [15, 15], "step": 23, "ordinal_position": 24}, {"identifier": "F05", "position": [16, 15], "step": 24, "ordinal_position": 25}, {"identifier": "L51", "position": [17, 15], "step": 25, "ordinal_position": 26}, {"identifier": "Q57", "position": [17, 14], "step": 26, "ordinal_position": 27}, {"identifier": "P74", "position": [17, 13], "step": 27, "ordinal_position": 28}, {"identifier": "S44", "position": [18, 13], "step": 28, "ordinal_position": 29}, {"identifier": "H31", "position": [19, 13], "step": 29, "ordinal_position": 30}, {"identifier": "J27", "position": [19, 12], "step": 30, "ordinal_position": 31}, {"identifier": "B52", "position": [19, 11], "step": 31, "ordinal_position": 32}, {"identifier": "O50", "position": [19, 10], "step": 32, "ordinal_position": 33}, {"identifier": "B69", "position": [19, 9], "step": 33, "ordinal_position": 34}, {"identifier": "J72", "position": [18, 9], "step": 34, "ordinal_position": 35}, {"identifier": "V29", "position": [17, 9], "step": 35, "ordinal_position": 36}, {"identifier": "D08", "position": [17, 10], "step": 36, "ordinal_position": 37}, {"identifier": "A78", "position": [17, 11], "step": 37, "ordinal_position": 38}, {"identifier": "I94", "position": [16, 11], "step": 38, "ordinal_position": 39}, {"identifier": "Q11", "position": [15, 11], "step": 39, "ordinal_position": 40}, {"identifier": "A50", "position": [15, 12], "step": 40, "ordinal_position": 41}, {"identifier": "Q95", "position": [15, 13], "step": 41, "ordinal_position": 42}, {"identifier": "M33", "position": [15, 14], "step": 42, "ordinal_position": 43}, {"identifier": "D39", "position": [15, 15], "step": 43, "ordinal_position": 44}, {"identifier": "F05", "position": [16, 15], "step": 44, "ordinal_position": 45}, {"identifier": "L51", "position": [17, 15], "step": 45, "ordinal_position": 46}, {"identifier": "Q57", "position": [17, 14], "step": 46, "ordinal_position": 47}, {"identifier": "P74", "position": [17, 13], "step": 47, "ordinal_position": 48}, {"identifier": "S44", "position": [18, 13], "step": 48, "ordinal_position": 49}, {"identifier": "H31", "position": [19, 13], "step": 49, "ordinal_position": 50}, {"identifier": "J27", "position": [19, 12], "step": 50, "ordinal_position": 51}, {"identifier": "B52", "position": [19, 11], "step": 51, "ordinal_position": 52}, {"identifier": "O50", "position": [19, 10], "step": 52, "ordinal_position": 53}, {"identifier": "B69", "position": [19, 9], "step": 53, "ordinal_position": 54}, {"identifier": "J72", "position": [18, 9], "step": 54, "ordinal_position": 55}, {"identifier": "V29", "position": [17, 9], "step": 55, "ordinal_position": 56}, {"identifier": "D08", "position": [17, 10], "step": 56, "ordinal_position": 57}, {"identifier": "A78", "position": [17, 11], "step": 57, "ordinal_position": 58}, {"identifier": "I94", "position": [16, 11], "step": 58, "ordinal_position": 59}, {"identifier": "Q11", "position": [15, 11], "step": 59, "ordinal_position": 60}, {"identifier": "A50", "position": [15, 12], "step": 60, "ordinal_position": 61}, {"identifier": "Q95", "position": [15, 13], "step": 61, "ordinal_position": 62}, {"identifier": "M33", "position": [15, 14], "step": 62, "ordinal_position": 63}, {"identifier": "D39", "position": [15, 15], "step": 63, "ordinal_position": 64}, {"identifier": "F05", "position": [16, 15], "step": 64, "ordinal_position": 65}, {"identifier": "L51", "position": [17, 15], "step": 65, "ordinal_position": 66}, {"identifier": "Q57", "position": [17, 14], "step": 66, "ordinal_position": 67}, {"identifier": "P74", "position": [17, 13], "step": 67, "ordinal_position": 68}, {"identifier": "S44", "position": [18, 13], "step": 68, "ordinal_position": 69}, {"identifier": "H31", "position": [19, 13], "step": 69, "ordinal_position": 70}, {"identifier": "J27", "position": [19, 12], "step": 70, "ordinal_position": 71}, {"identifier": "B52", "position": [19, 11], "step": 71, "ordinal_position": 72}, {"identifier": "O50", "position": [19, 10], "step": 72, "ordinal_position": 73}, {"identifier": "B69", "position": [19, 9], "step": 73, "ordinal_position": 74}, {"identifier": "J72", "position": [18, 9], "step": 74, "ordinal_position": 75}, {"identifier": "V29", "position": [17, 9], "step": 75, "ordinal_position": 76}, {"identifier": "D08", "position": [17, 10], "step": 76, "ordinal_position": 77}, {"identifier": "A78", "position": [17, 11], "step": 77, "ordinal_position": 78}, {"identifier": "I94", "position": [16, 11], "step": 78, "ordinal_position": 79}, {"identifier": "Q11", "position": [15, 11], "step": 79, "ordinal_position": 80}, {"identifier": "A50", "position": [15, 12], "step": 80, "ordinal_position": 81}, {"identifier": "Q95", "position": [15, 13], "step": 81, "ordinal_position": 82}, {"identifier": "M33", "position": [15, 14], "step": 82, "ordinal_position": 83}, {"identifier": "D39", "position": [15, 15], "step": 83, "ordinal_position": 84}, {"identifier": "F05", "position": [16, 15], "step": 84, "ordinal_position": 85}, {"identifier": "L51", "position": [17, 15], "step": 85, "ordinal_position": 86}, {"identifier": "Q57", "position": [17, 14], "step": 86, "ordinal_position": 87}, {"identifier": "P74", "position": [17, 13], "step": 87, "ordinal_position": 88}, {"identifier": "S44", "position": [18, 13], "step": 88, "ordinal_position": 89}, {"identifier": "H31", "position": [19, 13], "step": 89, "ordinal_position": 90}, {"identifier": "J27", "position": [19, 12], "step": 90, "ordinal_position": 91}, {"identifier": "B52", "position": [19, 11], "step": 91, "ordinal_position": 92}, {"identifier": "O50", "position": [19, 10], "step": 92, "ordinal_position": 93}, {"identifier": "B69", "position": [19, 9], "step": 93, "ordinal_position": 94}, {"identifier": "J72", "position": [18, 9], "step": 94, "ordinal_position": 95}, {"identifier": "V29", "position": [17, 9], "step": 95, "ordinal_position": 96}, {"identifier": "D08", "position": [17, 10], "step": 96, "ordinal_position": 97}, {"identifier": "A78", "position": [17, 11], "step": 97, "ordinal_position": 98}, {"identifier": "I94", "position": [16, 11], "step": 98, "ordinal_position": 99}, {"identifier": "Q11", "position": [15, 11], "step": 99, "ordinal_position": 100}, {"identifier": "A50", "position": [15, 12], "step": 100, "ordinal_position": 101}, {"identifier": "Q95", "position": [15, 13], "step": 101, "ordinal_position": 102}, {"identifier": "M33", "position": [15, 14], "step": 102, "ordinal_position": 103}, {"identifier": "D39", "position": [15, 15], "step": 103, "ordinal_position": 104}, {"identifier": "F05", "position": [16, 15], "step": 104, "ordinal_position": 105}, {"identifier": "L51", "position": [17, 15], "step": 105, "ordinal_position": 106}, {"identifier": "Q57", "position": [17, 14], "step": 106, "ordinal_position": 107}, {"identifier": "P74", "position": [17, 13], "step": 107, "ordinal_position": 108}, {"identifier": "S44", "position": [18, 13], "step": 108, "ordinal_position": 109}, {"identifier": "H31", "position": [19, 13], "step": 109, "ordinal_position": 110}, {"identifier": "J27", "position": [19, 12], "step": 110, "ordinal_position": 111}, {"identifier": "B52", "position": [19, 11], "step": 111, "ordinal_position": 112}, {"identifier": "O50", "position": [19, 10], "step": 112, "ordinal_position": 113}, {"identifier": "B69", "position": [19, 9], "step": 113, "ordinal_position": 114}, {"identifier": "J72", "position": [18, 9], "step": 114, "ordinal_position": 115}, {"identifier": "V29", "position": [17, 9], "step": 115, "ordinal_position": 116}, {"identifier": "D08", "position": [17, 10], "step": 116, "ordinal_position": 117}, {"identifier": "A78", "position": [17, 11], "step": 117, "ordinal_position": 118}, {"identifier": "I94", "position": [16, 11], "step": 118, "ordinal_position": 119}, {"identifier": "Q11", "position": [15, 11], "step": 119, "ordinal_position": 120}, {"identifier": "A50", "position": [15, 12], "step": 120, "ordinal_position": 121}, {"identifier": "Q95", "position": [15, 13], "step": 121, "ordinal_position": 122}, {"identifier": "M33", "position": [15, 14], "step": 122, "ordinal_position": 123}, {"identifier": "D39", "position": [15, 15], "step": 123, "ordinal_position": 124}, {"identifier": "F05", "position": [16, 15], "step": 124, "ordinal_position": 125}, {"identifier": "L51", "position": [17, 15], "step": 125, "ordinal_position": 126}, {"identifier": "Q57", "position": [17, 14], "step": 126, "ordinal_position": 127}, {"identifier": "P74", "position": [17, 13], "step": 127, "ordinal_position": 128}, {"identifier": "S44", "position": [18, 13], "step": 128, "ordinal_position": 129}, {"identifier": "H31", "position": [19, 13], "step": 129, "ordinal_position": 130}, {"identifier": "J27", "position": [19, 12], "step": 130, "ordinal_position": 131}, {"identifier": "B52", "position": [19, 11], "step": 131, "ordinal_position": 132}, {"identifier": "O50", "position": [19, 10], "step": 132, "ordinal_position": 133}, {"identifier": "B69", "position": [19, 9], "step": 133, "ordinal_position": 134}, {"identifier": "J72", "position": [18, 9], "step": 134, "ordinal_position": 135}, {"identifier": "V29", "position": [17, 9], "step": 135, "ordinal_position": 136}, {"identifier": "D08", "position": [17, 10], "step": 136, "ordinal_position": 137}, {"identifier": "A78", "position": [17, 11], "step": 137, "ordinal_position": 138}, {"identifier": "I94", "position": [16, 11], "step": 138, "ordinal_position": 139}, {"identifier": "Q11", "position": [15, 11], "step": 139, "ordinal_position": 140}, {"identifier": "A50", "position": [15, 12], "step": 140, "ordinal_position": 141}, {"identifier": "Q95", "position": [15, 13], "step": 141, "ordinal_position": 142}, {"identifier": "M33", "position": [15, 14], "step": 142, "ordinal_position": 143}, {"identifier": "D39", "position": [15, 15], "step": 143, "ordinal_position": 144}, {"identifier": "F05", "position": [16, 15], "step": 144, "ordinal_position": 145}, {"identifier": "L51", "position": [17, 15], "step": 145, "ordinal_position": 146}, {"identifier": "Q57", "position": [17, 14], "step": 146, "ordinal_position": 147}, {"identifier": "P74", "position": [17, 13], "step": 147, "ordinal_position": 148}, {"identifier": "S44", "position": [18, 13], "step": 148, "ordinal_position": 149}, {"identifier": "H31", "position": [19, 13], "step": 149, "ordinal_position": 150}, {"identifier": "J27", "position": [19, 12], "step": 150, "ordinal_position": 151}, {"identifier": "B52", "position": [19, 11], "step": 151, "ordinal_position": 152}, {"identifier": "O50", "position": [19, 10], "step": 152, "ordinal_position": 153}, {"identifier": "B69", "position": [19, 9], "step": 153, "ordinal_position": 154}, {"identifier": "J72", "position": [18, 9], "step": 154, "ordinal_position": 155}, {"identifier": "V29", "position": [17, 9], "step": 155, "ordinal_position": 156}, {"identifier": "D08", "position": [17, 10], "step": 156, "ordinal_position": 157}, {"identifier": "A78", "position": [17, 11], "step": 157, "ordinal_position": 158}, {"identifier": "I94", "position": [16, 11], "step": 158, "ordinal_position": 159}, {"identifier": "Q11", "position": [15, 11], "step": 159, "ordinal_position": 160}, {"identifier": "A50", "position": [15, 12], "step": 160, "ordinal_position": 161}, {"identifier": "Q95", "position": [15, 13], "step": 161, "ordinal_position": 162}, {"identifier": "M33", "position": [15, 14], "step": 162, "ordinal_position": 163}, {"identifier": "D39", "position": [15, 15], "step": 163, "ordinal_position": 164}, {"identifier": "F05", "position": [16, 15], "step": 164, "ordinal_position": 165}, {"identifier": "L51", "position": [17, 15], "step": 165, "ordinal_position": 166}, {"identifier": "Q57", "position": [17, 14], "step": 166, "ordinal_position": 167}, {"identifier": "P74", "position": [17, 13], "step": 167, "ordinal_position": 168}, {"identifier": "S44", "position": [18, 13], "step": 168, "ordinal_position": 169}, {"identifier": "H31", "position": [19, 13], "step": 169, "ordinal_position": 170}, {"identifier": "J27", "position": [19, 12], "step": 170, "ordinal_position": 171}, {"identifier": "B52", "position": [19, 11], "step": 171, "ordinal_position": 172}, {"identifier": "O50", "position": [19, 10], "step": 172, "ordinal_position": 173}, {"identifier": "B69", "position": [19, 9], "step": 173, "ordinal_position": 174}, {"identifier": "J72", "position": [18, 9], "step": 174, "ordinal_position": 175}, {"identifier": "V29", "position": [17, 9], "step": 175, "ordinal_position": 176}, {"identifier": "D08", "position": [17, 10], "step": 176, "ordinal_position": 177}, {"identifier": "A78", "position": [17, 11], "step": 177, "ordinal_position": 178}, {"identifier": "I94", "position": [16, 11], "step": 178, "ordinal_position": 179}, {"identifier": "Q11", "position": [15, 11], "step": 179, "ordinal_position": 180}, {"identifier": "A50", "position": [15, 12], "step": 180, "ordinal_position": 181}, {"identifier": "Q95", "position": [15, 13], "step": 181, "ordinal_position": 182}, {"identifier": "M33", "position": [15, 14], "step": 182, "ordinal_position": 183}, {"identifier": "D39", "position": [15, 15], "step": 183, "ordinal_position": 184}, {"identifier": "F05", "position": [16, 15], "step": 184, "ordinal_position": 185}, {"identifier": "L51", "position": [17, 15], "step": 185, "ordinal_position": 186}, {"identifier": "Q57", "position": [17, 14], "step": 186, "ordinal_position": 187}, {"identifier": "P74", "position": [17, 13], "step": 187, "ordinal_position": 188}, {"identifier": "S44", "position": [18, 13], "step": 188, "ordinal_position": 189}, {"identifier": "H31", "position": [19, 13], "step": 189, "ordinal_position": 190}, {"identifier": "J27", "position": [19, 12], "step": 190, "ordinal_position": 191}, {"identifier": "B52", "position": [19, 11], "step": 191, "ordinal_position": 192}, {"identifier": "O50", "position": [19, 10], "step": 192, "ordinal_position": 193}, {"identifier": "B69", "position": [19, 9], "step": 193, "ordinal_position": 194}, {"identifier": "J72", "position": [18, 9], "step": 194, "ordinal_position": 195}, {"identifier": "V29", "position": [17, 9], "step": 195, "ordinal_position": 196}, {"identifier": "D08", "position": [17, 10], "step": 196, "ordinal_position": 197}, {"identifier": "A78", "position": [17, 11], "step": 197, "ordinal_position": 198}, {"identifier": "I94", "position": [16, 11], "step": 198, "ordinal_position": 199}, {"identifier": "Q11", "position": [15, 11], "step": 199, "ordinal_position": 200}, {"identifier": "A50", "position": [15, 12], "step": 200, "ordinal_position": 201}, {"identifier": "Q95", "position": [15, 13], "step": 201, "ordinal_position": 202}, {"identifier": "M33", "position": [15, 14], "step": 202, "ordinal_position": 203}, {"identifier": "D39", "position": [15, 15], "step": 203, "ordinal_position": 204}, {"identifier": "F05", "position": [16, 15], "step": 204, "ordinal_position": 205}, {"identifier": "L51", "position": [17, 15], "step": 205, "ordinal_position": 206}, {"identifier": "Q57", "position": [17, 14], "step": 206, "ordinal_position": 207}, {"identifier": "P74", "position": [17, 13], "step": 207, "ordinal_position": 208}, {"identifier": "S44", "position": [18, 13], "step": 208, "ordinal_position": 209}, {"identifier": "H31", "position": [19, 13], "step": 209, "ordinal_position": 210}, {"identifier": "J27", "position": [19, 12], "step": 210, "ordinal_position": 211}, {"identifier": "B52", "position": [19, 11], "step": 211, "ordinal_position": 212}, {"identifier": "O50", "position": [19, 10], "step": 212, "ordinal_position": 213}, {"identifier": "B69", "position": [19, 9], "step": 213, "ordinal_position": 214}, {"identifier": "J72", "position": [18, 9], "step": 214, "ordinal_position": 215}, {"identifier": "V29", "position": [17, 9], "step": 215, "ordinal_position": 216}, {"identifier": "D08", "position": [17, 10], "step": 216, "ordinal_position": 217}, {"identifier": "A78", "position": [17, 11], "step": 217, "ordinal_position": 218}, {"identifier": "I94", "position": [16, 11], "step": 218, "ordinal_position": 219}, {"identifier": "Q11", "position": [15, 11], "step": 219, "ordinal_position": 220}, {"identifier": "A50", "position": [15, 12], "step": 220, "ordinal_position": 221}, {"identifier": "Q95", "position": [15, 13], "step": 221, "ordinal_position": 222}, {"identifier": "M33", "position": [15, 14], "step": 222, "ordinal_position": 223}, {"identifier": "D39", "position": [15, 15], "step": 223, "ordinal_position": 224}, {"identifier": "F05", "position": [16, 15], "step": 224, "ordinal_position": 225}, {"identifier": "L51", "position": [17, 15], "step": 225, "ordinal_position": 226}, {"identifier": "Q57", "position": [17, 14], "step": 226, "ordinal_position": 227}, {"identifier": "P74", "position": [17, 13], "step": 227, "ordinal_position": 228}, {"identifier": "S44", "position": [18, 13], "step": 228, "ordinal_position": 229}, {"identifier": "H31", "position": [19, 13], "step": 229, "ordinal_position": 230}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 230, "direction": "right", "turn_preference": "left", "total_objects": 208, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_011.json"}} {"qa_id": "1facef1b17b841708ebd970a242c7f7a", "image_id": "L3-MazeLoop-test_21x21_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W37, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 8th position in this traversal?", "start_object_id": "W37", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [8], "ordinal_strings": ["8th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "E02", "traversal_path": [{"identifier": "W37", "position": [3, 11], "step": 0, "ordinal_position": 1}, {"identifier": "M01", "position": [4, 11], "step": 1, "ordinal_position": 2}, {"identifier": "G95", "position": [5, 11], "step": 2, "ordinal_position": 3}, {"identifier": "A84", "position": [5, 10], "step": 3, "ordinal_position": 4}, {"identifier": "I46", "position": [5, 9], "step": 4, "ordinal_position": 5}, {"identifier": "R85", "position": [4, 9], "step": 5, "ordinal_position": 6}, {"identifier": "P01", "position": [3, 9], "step": 6, "ordinal_position": 7}, {"identifier": "E02", "position": [3, 8], "step": 7, "ordinal_position": 8}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 8, "direction": "right", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_012.json"}} {"qa_id": "67bac9b2f4f94d049512ebb7c51d776e", "image_id": "L3-MazeLoop-test_21x21_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N61, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 11th position in this traversal?", "start_object_id": "N61", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [11], "ordinal_strings": ["11th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "O27", "traversal_path": [{"identifier": "N61", "position": [5, 5], "step": 0, "ordinal_position": 1}, {"identifier": "O78", "position": [5, 6], "step": 1, "ordinal_position": 2}, {"identifier": "B14", "position": [5, 7], "step": 2, "ordinal_position": 3}, {"identifier": "P92", "position": [6, 7], "step": 3, "ordinal_position": 4}, {"identifier": "M79", "position": [7, 7], "step": 4, "ordinal_position": 5}, {"identifier": "H36", "position": [7, 8], "step": 5, "ordinal_position": 6}, {"identifier": "B26", "position": [7, 9], "step": 6, "ordinal_position": 7}, {"identifier": "A53", "position": [8, 9], "step": 7, "ordinal_position": 8}, {"identifier": "B74", "position": [9, 9], "step": 8, "ordinal_position": 9}, {"identifier": "M51", "position": [10, 9], "step": 9, "ordinal_position": 10}, {"identifier": "O27", "position": [11, 9], "step": 10, "ordinal_position": 11}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 11, "direction": "down", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_012.json"}} {"qa_id": "fbedba612b174f2b9ff64dfdb31696f2", "image_id": "L3-MazeLoop-test_21x21_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I20, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 18th position in this traversal?", "start_object_id": "I20", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [18], "ordinal_strings": ["18th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Q62", "traversal_path": [{"identifier": "I20", "position": [19, 17], "step": 0, "ordinal_position": 1}, {"identifier": "V35", "position": [19, 18], "step": 1, "ordinal_position": 2}, {"identifier": "U50", "position": [19, 19], "step": 2, "ordinal_position": 3}, {"identifier": "L45", "position": [18, 19], "step": 3, "ordinal_position": 4}, {"identifier": "N41", "position": [17, 19], "step": 4, "ordinal_position": 5}, {"identifier": "Q99", "position": [17, 18], "step": 5, "ordinal_position": 6}, {"identifier": "J02", "position": [17, 17], "step": 6, "ordinal_position": 7}, {"identifier": "U13", "position": [18, 17], "step": 7, "ordinal_position": 8}, {"identifier": "I20", "position": [19, 17], "step": 8, "ordinal_position": 9}, {"identifier": "R32", "position": [19, 16], "step": 9, "ordinal_position": 10}, {"identifier": "Z22", "position": [19, 15], "step": 10, "ordinal_position": 11}, {"identifier": "Q69", "position": [18, 15], "step": 11, "ordinal_position": 12}, {"identifier": "Q19", "position": [17, 15], "step": 12, "ordinal_position": 13}, {"identifier": "H73", "position": [17, 14], "step": 13, "ordinal_position": 14}, {"identifier": "U25", "position": [17, 13], "step": 14, "ordinal_position": 15}, {"identifier": "P50", "position": [16, 13], "step": 15, "ordinal_position": 16}, {"identifier": "A25", "position": [15, 13], "step": 16, "ordinal_position": 17}, {"identifier": "Q62", "position": [15, 14], "step": 17, "ordinal_position": 18}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 18, "direction": "down", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_012.json"}} {"qa_id": "ef541dce8ff0416ea1af37e6ce94c486", "image_id": "L3-MazeLoop-test_21x21_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C31, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 14th position in this traversal?", "start_object_id": "C31", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [14], "ordinal_strings": ["14th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "G97", "traversal_path": [{"identifier": "C31", "position": [19, 13], "step": 0, "ordinal_position": 1}, {"identifier": "W03", "position": [18, 13], "step": 1, "ordinal_position": 2}, {"identifier": "U25", "position": [17, 13], "step": 2, "ordinal_position": 3}, {"identifier": "P50", "position": [16, 13], "step": 3, "ordinal_position": 4}, {"identifier": "A25", "position": [15, 13], "step": 4, "ordinal_position": 5}, {"identifier": "Q62", "position": [15, 14], "step": 5, "ordinal_position": 6}, {"identifier": "M14", "position": [15, 15], "step": 6, "ordinal_position": 7}, {"identifier": "R34", "position": [15, 16], "step": 7, "ordinal_position": 8}, {"identifier": "V16", "position": [15, 17], "step": 8, "ordinal_position": 9}, {"identifier": "E01", "position": [15, 18], "step": 9, "ordinal_position": 10}, {"identifier": "Z90", "position": [15, 19], "step": 10, "ordinal_position": 11}, {"identifier": "C16", "position": [14, 19], "step": 11, "ordinal_position": 12}, {"identifier": "P93", "position": [13, 19], "step": 12, "ordinal_position": 13}, {"identifier": "G97", "position": [12, 19], "step": 13, "ordinal_position": 14}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 14, "direction": "left", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_012.json"}} {"qa_id": "70941eccabac4986992ca5ed4e77f3ff", "image_id": "L3-MazeLoop-test_21x21_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A84, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 21st position in this traversal?", "start_object_id": "A84", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [21], "ordinal_strings": ["21st"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "S17", "traversal_path": [{"identifier": "A84", "position": [5, 10], "step": 0, "ordinal_position": 1}, {"identifier": "G95", "position": [5, 11], "step": 1, "ordinal_position": 2}, {"identifier": "M01", "position": [4, 11], "step": 2, "ordinal_position": 3}, {"identifier": "W37", "position": [3, 11], "step": 3, "ordinal_position": 4}, {"identifier": "H53", "position": [3, 12], "step": 4, "ordinal_position": 5}, {"identifier": "E19", "position": [3, 13], "step": 5, "ordinal_position": 6}, {"identifier": "N19", "position": [3, 14], "step": 6, "ordinal_position": 7}, {"identifier": "C93", "position": [3, 15], "step": 7, "ordinal_position": 8}, {"identifier": "W18", "position": [2, 15], "step": 8, "ordinal_position": 9}, {"identifier": "G07", "position": [1, 15], "step": 9, "ordinal_position": 10}, {"identifier": "R36", "position": [1, 14], "step": 10, "ordinal_position": 11}, {"identifier": "V41", "position": [1, 13], "step": 11, "ordinal_position": 12}, {"identifier": "M94", "position": [1, 12], "step": 12, "ordinal_position": 13}, {"identifier": "T98", "position": [1, 11], "step": 13, "ordinal_position": 14}, {"identifier": "A88", "position": [1, 10], "step": 14, "ordinal_position": 15}, {"identifier": "C94", "position": [1, 9], "step": 15, "ordinal_position": 16}, {"identifier": "Y84", "position": [1, 8], "step": 16, "ordinal_position": 17}, {"identifier": "H20", "position": [1, 7], "step": 17, "ordinal_position": 18}, {"identifier": "A69", "position": [1, 6], "step": 18, "ordinal_position": 19}, {"identifier": "X36", "position": [1, 5], "step": 19, "ordinal_position": 20}, {"identifier": "S17", "position": [1, 4], "step": 20, "ordinal_position": 21}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 21, "direction": "down", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_012.json"}} {"qa_id": "6a273bcc7fbe4190935a65a178a2b6df", "image_id": "L3-MazeLoop-test_21x21_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I00, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 43rd position in this traversal?", "start_object_id": "I00", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [43], "ordinal_strings": ["43rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Z90", "traversal_path": [{"identifier": "I00", "position": [7, 5], "step": 0, "ordinal_position": 1}, {"identifier": "V15", "position": [7, 4], "step": 1, "ordinal_position": 2}, {"identifier": "B00", "position": [7, 3], "step": 2, "ordinal_position": 3}, {"identifier": "Y85", "position": [7, 2], "step": 3, "ordinal_position": 4}, {"identifier": "K31", "position": [7, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Z30", "position": [6, 1], "step": 5, "ordinal_position": 6}, {"identifier": "B15", "position": [5, 1], "step": 6, "ordinal_position": 7}, {"identifier": "U17", "position": [4, 1], "step": 7, "ordinal_position": 8}, {"identifier": "Y04", "position": [3, 1], "step": 8, "ordinal_position": 9}, {"identifier": "C01", "position": [2, 1], "step": 9, "ordinal_position": 10}, {"identifier": "D45", "position": [1, 1], "step": 10, "ordinal_position": 11}, {"identifier": "T88", "position": [1, 2], "step": 11, "ordinal_position": 12}, {"identifier": "Q89", "position": [1, 3], "step": 12, "ordinal_position": 13}, {"identifier": "S17", "position": [1, 4], "step": 13, "ordinal_position": 14}, {"identifier": "X36", "position": [1, 5], "step": 14, "ordinal_position": 15}, {"identifier": "A69", "position": [1, 6], "step": 15, "ordinal_position": 16}, {"identifier": "H20", "position": [1, 7], "step": 16, "ordinal_position": 17}, {"identifier": "Y84", "position": [1, 8], "step": 17, "ordinal_position": 18}, {"identifier": "C94", "position": [1, 9], "step": 18, "ordinal_position": 19}, {"identifier": "A88", "position": [1, 10], "step": 19, "ordinal_position": 20}, {"identifier": "T98", "position": [1, 11], "step": 20, "ordinal_position": 21}, {"identifier": "M94", "position": [1, 12], "step": 21, "ordinal_position": 22}, {"identifier": "V41", "position": [1, 13], "step": 22, "ordinal_position": 23}, {"identifier": "R36", "position": [1, 14], "step": 23, "ordinal_position": 24}, {"identifier": "G07", "position": [1, 15], "step": 24, "ordinal_position": 25}, {"identifier": "R57", "position": [1, 16], "step": 25, "ordinal_position": 26}, {"identifier": "S87", "position": [1, 17], "step": 26, "ordinal_position": 27}, {"identifier": "M58", "position": [1, 18], "step": 27, "ordinal_position": 28}, {"identifier": "S36", "position": [1, 19], "step": 28, "ordinal_position": 29}, {"identifier": "W29", "position": [2, 19], "step": 29, "ordinal_position": 30}, {"identifier": "H34", "position": [3, 19], "step": 30, "ordinal_position": 31}, {"identifier": "N91", "position": [4, 19], "step": 31, "ordinal_position": 32}, {"identifier": "S84", "position": [5, 19], "step": 32, "ordinal_position": 33}, {"identifier": "P55", "position": [6, 19], "step": 33, "ordinal_position": 34}, {"identifier": "F15", "position": [7, 19], "step": 34, "ordinal_position": 35}, {"identifier": "Y52", "position": [8, 19], "step": 35, "ordinal_position": 36}, {"identifier": "O69", "position": [9, 19], "step": 36, "ordinal_position": 37}, {"identifier": "Z51", "position": [10, 19], "step": 37, "ordinal_position": 38}, {"identifier": "K43", "position": [11, 19], "step": 38, "ordinal_position": 39}, {"identifier": "G97", "position": [12, 19], "step": 39, "ordinal_position": 40}, {"identifier": "P93", "position": [13, 19], "step": 40, "ordinal_position": 41}, {"identifier": "C16", "position": [14, 19], "step": 41, "ordinal_position": 42}, {"identifier": "Z90", "position": [15, 19], "step": 42, "ordinal_position": 43}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 43, "direction": "up", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_012.json"}} {"qa_id": "9ed5f30ed2394bb693e5e2389eedc2d0", "image_id": "L3-MazeLoop-test_21x21_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N91, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 74th position in this traversal?", "start_object_id": "N91", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [74], "ordinal_strings": ["74th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "B88", "traversal_path": [{"identifier": "N91", "position": [4, 19], "step": 0, "ordinal_position": 1}, {"identifier": "H34", "position": [3, 19], "step": 1, "ordinal_position": 2}, {"identifier": "W29", "position": [2, 19], "step": 2, "ordinal_position": 3}, {"identifier": "S36", "position": [1, 19], "step": 3, "ordinal_position": 4}, {"identifier": "M58", "position": [1, 18], "step": 4, "ordinal_position": 5}, {"identifier": "S87", "position": [1, 17], "step": 5, "ordinal_position": 6}, {"identifier": "R57", "position": [1, 16], "step": 6, "ordinal_position": 7}, {"identifier": "G07", "position": [1, 15], "step": 7, "ordinal_position": 8}, {"identifier": "R36", "position": [1, 14], "step": 8, "ordinal_position": 9}, {"identifier": "V41", "position": [1, 13], "step": 9, "ordinal_position": 10}, {"identifier": "M94", "position": [1, 12], "step": 10, "ordinal_position": 11}, {"identifier": "T98", "position": [1, 11], "step": 11, "ordinal_position": 12}, {"identifier": "A88", "position": [1, 10], "step": 12, "ordinal_position": 13}, {"identifier": "C94", "position": [1, 9], "step": 13, "ordinal_position": 14}, {"identifier": "Y84", "position": [1, 8], "step": 14, "ordinal_position": 15}, {"identifier": "H20", "position": [1, 7], "step": 15, "ordinal_position": 16}, {"identifier": "A69", "position": [1, 6], "step": 16, "ordinal_position": 17}, {"identifier": "X36", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "S17", "position": [1, 4], "step": 18, "ordinal_position": 19}, {"identifier": "Q89", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "T88", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "D45", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "C01", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Y04", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "U17", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "B15", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "Z30", "position": [6, 1], "step": 26, "ordinal_position": 27}, {"identifier": "K31", "position": [7, 1], "step": 27, "ordinal_position": 28}, {"identifier": "I06", "position": [8, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Q66", "position": [9, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Y87", "position": [10, 1], "step": 30, "ordinal_position": 31}, {"identifier": "C32", "position": [11, 1], "step": 31, "ordinal_position": 32}, {"identifier": "L40", "position": [11, 2], "step": 32, "ordinal_position": 33}, {"identifier": "A31", "position": [11, 3], "step": 33, "ordinal_position": 34}, {"identifier": "K23", "position": [10, 3], "step": 34, "ordinal_position": 35}, {"identifier": "U47", "position": [9, 3], "step": 35, "ordinal_position": 36}, {"identifier": "O93", "position": [9, 4], "step": 36, "ordinal_position": 37}, {"identifier": "W47", "position": [9, 5], "step": 37, "ordinal_position": 38}, {"identifier": "X78", "position": [9, 6], "step": 38, "ordinal_position": 39}, {"identifier": "J18", "position": [9, 7], "step": 39, "ordinal_position": 40}, {"identifier": "J76", "position": [10, 7], "step": 40, "ordinal_position": 41}, {"identifier": "N97", "position": [11, 7], "step": 41, "ordinal_position": 42}, {"identifier": "L69", "position": [11, 6], "step": 42, "ordinal_position": 43}, {"identifier": "B21", "position": [11, 5], "step": 43, "ordinal_position": 44}, {"identifier": "P35", "position": [12, 5], "step": 44, "ordinal_position": 45}, {"identifier": "K78", "position": [13, 5], "step": 45, "ordinal_position": 46}, {"identifier": "I65", "position": [13, 6], "step": 46, "ordinal_position": 47}, {"identifier": "L08", "position": [13, 7], "step": 47, "ordinal_position": 48}, {"identifier": "Y92", "position": [14, 7], "step": 48, "ordinal_position": 49}, {"identifier": "F80", "position": [15, 7], "step": 49, "ordinal_position": 50}, {"identifier": "F50", "position": [15, 6], "step": 50, "ordinal_position": 51}, {"identifier": "H48", "position": [15, 5], "step": 51, "ordinal_position": 52}, {"identifier": "O94", "position": [15, 4], "step": 52, "ordinal_position": 53}, {"identifier": "L58", "position": [15, 3], "step": 53, "ordinal_position": 54}, {"identifier": "F18", "position": [14, 3], "step": 54, "ordinal_position": 55}, {"identifier": "O75", "position": [13, 3], "step": 55, "ordinal_position": 56}, {"identifier": "T14", "position": [13, 2], "step": 56, "ordinal_position": 57}, {"identifier": "R01", "position": [13, 1], "step": 57, "ordinal_position": 58}, {"identifier": "V91", "position": [14, 1], "step": 58, "ordinal_position": 59}, {"identifier": "V96", "position": [15, 1], "step": 59, "ordinal_position": 60}, {"identifier": "U51", "position": [16, 1], "step": 60, "ordinal_position": 61}, {"identifier": "Y89", "position": [17, 1], "step": 61, "ordinal_position": 62}, {"identifier": "S71", "position": [18, 1], "step": 62, "ordinal_position": 63}, {"identifier": "M12", "position": [19, 1], "step": 63, "ordinal_position": 64}, {"identifier": "Z03", "position": [19, 2], "step": 64, "ordinal_position": 65}, {"identifier": "D70", "position": [19, 3], "step": 65, "ordinal_position": 66}, {"identifier": "K97", "position": [19, 4], "step": 66, "ordinal_position": 67}, {"identifier": "A34", "position": [19, 5], "step": 67, "ordinal_position": 68}, {"identifier": "Z97", "position": [18, 5], "step": 68, "ordinal_position": 69}, {"identifier": "U52", "position": [17, 5], "step": 69, "ordinal_position": 70}, {"identifier": "H00", "position": [17, 6], "step": 70, "ordinal_position": 71}, {"identifier": "W75", "position": [17, 7], "step": 71, "ordinal_position": 72}, {"identifier": "V60", "position": [18, 7], "step": 72, "ordinal_position": 73}, {"identifier": "B88", "position": [19, 7], "step": 73, "ordinal_position": 74}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 74, "direction": "left", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_012.json"}} {"qa_id": "ce0c5401702e44a78cbd50af2a1692ff", "image_id": "L3-MazeLoop-test_21x21_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U13, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 90th position in this traversal?", "start_object_id": "U13", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [90], "ordinal_strings": ["90th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "V41", "traversal_path": [{"identifier": "U13", "position": [18, 17], "step": 0, "ordinal_position": 1}, {"identifier": "J02", "position": [17, 17], "step": 1, "ordinal_position": 2}, {"identifier": "Q99", "position": [17, 18], "step": 2, "ordinal_position": 3}, {"identifier": "N41", "position": [17, 19], "step": 3, "ordinal_position": 4}, {"identifier": "L45", "position": [18, 19], "step": 4, "ordinal_position": 5}, {"identifier": "U50", "position": [19, 19], "step": 5, "ordinal_position": 6}, {"identifier": "V35", "position": [19, 18], "step": 6, "ordinal_position": 7}, {"identifier": "I20", "position": [19, 17], "step": 7, "ordinal_position": 8}, {"identifier": "R32", "position": [19, 16], "step": 8, "ordinal_position": 9}, {"identifier": "Z22", "position": [19, 15], "step": 9, "ordinal_position": 10}, {"identifier": "Q69", "position": [18, 15], "step": 10, "ordinal_position": 11}, {"identifier": "Q19", "position": [17, 15], "step": 11, "ordinal_position": 12}, {"identifier": "H73", "position": [17, 14], "step": 12, "ordinal_position": 13}, {"identifier": "U25", "position": [17, 13], "step": 13, "ordinal_position": 14}, {"identifier": "W03", "position": [18, 13], "step": 14, "ordinal_position": 15}, {"identifier": "C31", "position": [19, 13], "step": 15, "ordinal_position": 16}, {"identifier": "K06", "position": [19, 12], "step": 16, "ordinal_position": 17}, {"identifier": "M77", "position": [19, 11], "step": 17, "ordinal_position": 18}, {"identifier": "J31", "position": [18, 11], "step": 18, "ordinal_position": 19}, {"identifier": "I68", "position": [17, 11], "step": 19, "ordinal_position": 20}, {"identifier": "I40", "position": [17, 10], "step": 20, "ordinal_position": 21}, {"identifier": "S01", "position": [17, 9], "step": 21, "ordinal_position": 22}, {"identifier": "B55", "position": [18, 9], "step": 22, "ordinal_position": 23}, {"identifier": "O57", "position": [19, 9], "step": 23, "ordinal_position": 24}, {"identifier": "F62", "position": [19, 8], "step": 24, "ordinal_position": 25}, {"identifier": "B88", "position": [19, 7], "step": 25, "ordinal_position": 26}, {"identifier": "V60", "position": [18, 7], "step": 26, "ordinal_position": 27}, {"identifier": "W75", "position": [17, 7], "step": 27, "ordinal_position": 28}, {"identifier": "H00", "position": [17, 6], "step": 28, "ordinal_position": 29}, {"identifier": "U52", "position": [17, 5], "step": 29, "ordinal_position": 30}, {"identifier": "Z97", "position": [18, 5], "step": 30, "ordinal_position": 31}, {"identifier": "A34", "position": [19, 5], "step": 31, "ordinal_position": 32}, {"identifier": "K97", "position": [19, 4], "step": 32, "ordinal_position": 33}, {"identifier": "D70", "position": [19, 3], "step": 33, "ordinal_position": 34}, {"identifier": "Z03", "position": [19, 2], "step": 34, "ordinal_position": 35}, {"identifier": "M12", "position": [19, 1], "step": 35, "ordinal_position": 36}, {"identifier": "S71", "position": [18, 1], "step": 36, "ordinal_position": 37}, {"identifier": "Y89", "position": [17, 1], "step": 37, "ordinal_position": 38}, {"identifier": "U51", "position": [16, 1], "step": 38, "ordinal_position": 39}, {"identifier": "V96", "position": [15, 1], "step": 39, "ordinal_position": 40}, {"identifier": "V91", "position": [14, 1], "step": 40, "ordinal_position": 41}, {"identifier": "R01", "position": [13, 1], "step": 41, "ordinal_position": 42}, {"identifier": "T14", "position": [13, 2], "step": 42, "ordinal_position": 43}, {"identifier": "O75", "position": [13, 3], "step": 43, "ordinal_position": 44}, {"identifier": "F18", "position": [14, 3], "step": 44, "ordinal_position": 45}, {"identifier": "L58", "position": [15, 3], "step": 45, "ordinal_position": 46}, {"identifier": "O94", "position": [15, 4], "step": 46, "ordinal_position": 47}, {"identifier": "H48", "position": [15, 5], "step": 47, "ordinal_position": 48}, {"identifier": "F50", "position": [15, 6], "step": 48, "ordinal_position": 49}, {"identifier": "F80", "position": [15, 7], "step": 49, "ordinal_position": 50}, {"identifier": "Y92", "position": [14, 7], "step": 50, "ordinal_position": 51}, {"identifier": "L08", "position": [13, 7], "step": 51, "ordinal_position": 52}, {"identifier": "I65", "position": [13, 6], "step": 52, "ordinal_position": 53}, {"identifier": "K78", "position": [13, 5], "step": 53, "ordinal_position": 54}, {"identifier": "P35", "position": [12, 5], "step": 54, "ordinal_position": 55}, {"identifier": "B21", "position": [11, 5], "step": 55, "ordinal_position": 56}, {"identifier": "L69", "position": [11, 6], "step": 56, "ordinal_position": 57}, {"identifier": "N97", "position": [11, 7], "step": 57, "ordinal_position": 58}, {"identifier": "J76", "position": [10, 7], "step": 58, "ordinal_position": 59}, {"identifier": "J18", "position": [9, 7], "step": 59, "ordinal_position": 60}, {"identifier": "X78", "position": [9, 6], "step": 60, "ordinal_position": 61}, {"identifier": "W47", "position": [9, 5], "step": 61, "ordinal_position": 62}, {"identifier": "O93", "position": [9, 4], "step": 62, "ordinal_position": 63}, {"identifier": "U47", "position": [9, 3], "step": 63, "ordinal_position": 64}, {"identifier": "K23", "position": [10, 3], "step": 64, "ordinal_position": 65}, {"identifier": "A31", "position": [11, 3], "step": 65, "ordinal_position": 66}, {"identifier": "L40", "position": [11, 2], "step": 66, "ordinal_position": 67}, {"identifier": "C32", "position": [11, 1], "step": 67, "ordinal_position": 68}, {"identifier": "Y87", "position": [10, 1], "step": 68, "ordinal_position": 69}, {"identifier": "Q66", "position": [9, 1], "step": 69, "ordinal_position": 70}, {"identifier": "I06", "position": [8, 1], "step": 70, "ordinal_position": 71}, {"identifier": "K31", "position": [7, 1], "step": 71, "ordinal_position": 72}, {"identifier": "Z30", "position": [6, 1], "step": 72, "ordinal_position": 73}, {"identifier": "B15", "position": [5, 1], "step": 73, "ordinal_position": 74}, {"identifier": "U17", "position": [4, 1], "step": 74, "ordinal_position": 75}, {"identifier": "Y04", "position": [3, 1], "step": 75, "ordinal_position": 76}, {"identifier": "C01", "position": [2, 1], "step": 76, "ordinal_position": 77}, {"identifier": "D45", "position": [1, 1], "step": 77, "ordinal_position": 78}, {"identifier": "T88", "position": [1, 2], "step": 78, "ordinal_position": 79}, {"identifier": "Q89", "position": [1, 3], "step": 79, "ordinal_position": 80}, {"identifier": "S17", "position": [1, 4], "step": 80, "ordinal_position": 81}, {"identifier": "X36", "position": [1, 5], "step": 81, "ordinal_position": 82}, {"identifier": "A69", "position": [1, 6], "step": 82, "ordinal_position": 83}, {"identifier": "H20", "position": [1, 7], "step": 83, "ordinal_position": 84}, {"identifier": "Y84", "position": [1, 8], "step": 84, "ordinal_position": 85}, {"identifier": "C94", "position": [1, 9], "step": 85, "ordinal_position": 86}, {"identifier": "A88", "position": [1, 10], "step": 86, "ordinal_position": 87}, {"identifier": "T98", "position": [1, 11], "step": 87, "ordinal_position": 88}, {"identifier": "M94", "position": [1, 12], "step": 88, "ordinal_position": 89}, {"identifier": "V41", "position": [1, 13], "step": 89, "ordinal_position": 90}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 90, "direction": "left", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_012.json"}} {"qa_id": "78e318cb71e4401aae4290db3ad356fa", "image_id": "L3-MazeLoop-test_21x21_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I20, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 34th position in this traversal?", "start_object_id": "I20", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [34], "ordinal_strings": ["34th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "R36", "traversal_path": [{"identifier": "I20", "position": [19, 17], "step": 0, "ordinal_position": 1}, {"identifier": "R32", "position": [19, 16], "step": 1, "ordinal_position": 2}, {"identifier": "Z22", "position": [19, 15], "step": 2, "ordinal_position": 3}, {"identifier": "Q69", "position": [18, 15], "step": 3, "ordinal_position": 4}, {"identifier": "Q19", "position": [17, 15], "step": 4, "ordinal_position": 5}, {"identifier": "H73", "position": [17, 14], "step": 5, "ordinal_position": 6}, {"identifier": "U25", "position": [17, 13], "step": 6, "ordinal_position": 7}, {"identifier": "P50", "position": [16, 13], "step": 7, "ordinal_position": 8}, {"identifier": "A25", "position": [15, 13], "step": 8, "ordinal_position": 9}, {"identifier": "Q62", "position": [15, 14], "step": 9, "ordinal_position": 10}, {"identifier": "M14", "position": [15, 15], "step": 10, "ordinal_position": 11}, {"identifier": "R34", "position": [15, 16], "step": 11, "ordinal_position": 12}, {"identifier": "V16", "position": [15, 17], "step": 12, "ordinal_position": 13}, {"identifier": "E01", "position": [15, 18], "step": 13, "ordinal_position": 14}, {"identifier": "Z90", "position": [15, 19], "step": 14, "ordinal_position": 15}, {"identifier": "C16", "position": [14, 19], "step": 15, "ordinal_position": 16}, {"identifier": "P93", "position": [13, 19], "step": 16, "ordinal_position": 17}, {"identifier": "G97", "position": [12, 19], "step": 17, "ordinal_position": 18}, {"identifier": "K43", "position": [11, 19], "step": 18, "ordinal_position": 19}, {"identifier": "Z51", "position": [10, 19], "step": 19, "ordinal_position": 20}, {"identifier": "O69", "position": [9, 19], "step": 20, "ordinal_position": 21}, {"identifier": "Y52", "position": [8, 19], "step": 21, "ordinal_position": 22}, {"identifier": "F15", "position": [7, 19], "step": 22, "ordinal_position": 23}, {"identifier": "P55", "position": [6, 19], "step": 23, "ordinal_position": 24}, {"identifier": "S84", "position": [5, 19], "step": 24, "ordinal_position": 25}, {"identifier": "N91", "position": [4, 19], "step": 25, "ordinal_position": 26}, {"identifier": "H34", "position": [3, 19], "step": 26, "ordinal_position": 27}, {"identifier": "W29", "position": [2, 19], "step": 27, "ordinal_position": 28}, {"identifier": "S36", "position": [1, 19], "step": 28, "ordinal_position": 29}, {"identifier": "M58", "position": [1, 18], "step": 29, "ordinal_position": 30}, {"identifier": "S87", "position": [1, 17], "step": 30, "ordinal_position": 31}, {"identifier": "R57", "position": [1, 16], "step": 31, "ordinal_position": 32}, {"identifier": "G07", "position": [1, 15], "step": 32, "ordinal_position": 33}, {"identifier": "R36", "position": [1, 14], "step": 33, "ordinal_position": 34}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 34, "direction": "up", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_012.json"}} {"qa_id": "0c074039fd9e4fe0a0021158ec088097", "image_id": "L3-MazeLoop-test_21x21_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z90, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 93rd position in this traversal?", "start_object_id": "Z90", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [93], "ordinal_strings": ["93rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M77", "traversal_path": [{"identifier": "Z90", "position": [15, 19], "step": 0, "ordinal_position": 1}, {"identifier": "C16", "position": [14, 19], "step": 1, "ordinal_position": 2}, {"identifier": "P93", "position": [13, 19], "step": 2, "ordinal_position": 3}, {"identifier": "G97", "position": [12, 19], "step": 3, "ordinal_position": 4}, {"identifier": "K43", "position": [11, 19], "step": 4, "ordinal_position": 5}, {"identifier": "Z51", "position": [10, 19], "step": 5, "ordinal_position": 6}, {"identifier": "O69", "position": [9, 19], "step": 6, "ordinal_position": 7}, {"identifier": "Y52", "position": [8, 19], "step": 7, "ordinal_position": 8}, {"identifier": "F15", "position": [7, 19], "step": 8, "ordinal_position": 9}, {"identifier": "P55", "position": [6, 19], "step": 9, "ordinal_position": 10}, {"identifier": "S84", "position": [5, 19], "step": 10, "ordinal_position": 11}, {"identifier": "N91", "position": [4, 19], "step": 11, "ordinal_position": 12}, {"identifier": "H34", "position": [3, 19], "step": 12, "ordinal_position": 13}, {"identifier": "W29", "position": [2, 19], "step": 13, "ordinal_position": 14}, {"identifier": "S36", "position": [1, 19], "step": 14, "ordinal_position": 15}, {"identifier": "M58", "position": [1, 18], "step": 15, "ordinal_position": 16}, {"identifier": "S87", "position": [1, 17], "step": 16, "ordinal_position": 17}, {"identifier": "R57", "position": [1, 16], "step": 17, "ordinal_position": 18}, {"identifier": "G07", "position": [1, 15], "step": 18, "ordinal_position": 19}, {"identifier": "R36", "position": [1, 14], "step": 19, "ordinal_position": 20}, {"identifier": "V41", "position": [1, 13], "step": 20, "ordinal_position": 21}, {"identifier": "M94", "position": [1, 12], "step": 21, "ordinal_position": 22}, {"identifier": "T98", "position": [1, 11], "step": 22, "ordinal_position": 23}, {"identifier": "A88", "position": [1, 10], "step": 23, "ordinal_position": 24}, {"identifier": "C94", "position": [1, 9], "step": 24, "ordinal_position": 25}, {"identifier": "Y84", "position": [1, 8], "step": 25, "ordinal_position": 26}, {"identifier": "H20", "position": [1, 7], "step": 26, "ordinal_position": 27}, {"identifier": "A69", "position": [1, 6], "step": 27, "ordinal_position": 28}, {"identifier": "X36", "position": [1, 5], "step": 28, "ordinal_position": 29}, {"identifier": "S17", "position": [1, 4], "step": 29, "ordinal_position": 30}, {"identifier": "Q89", "position": [1, 3], "step": 30, "ordinal_position": 31}, {"identifier": "T88", "position": [1, 2], "step": 31, "ordinal_position": 32}, {"identifier": "D45", "position": [1, 1], "step": 32, "ordinal_position": 33}, {"identifier": "C01", "position": [2, 1], "step": 33, "ordinal_position": 34}, {"identifier": "Y04", "position": [3, 1], "step": 34, "ordinal_position": 35}, {"identifier": "U17", "position": [4, 1], "step": 35, "ordinal_position": 36}, {"identifier": "B15", "position": [5, 1], "step": 36, "ordinal_position": 37}, {"identifier": "Z30", "position": [6, 1], "step": 37, "ordinal_position": 38}, {"identifier": "K31", "position": [7, 1], "step": 38, "ordinal_position": 39}, {"identifier": "I06", "position": [8, 1], "step": 39, "ordinal_position": 40}, {"identifier": "Q66", "position": [9, 1], "step": 40, "ordinal_position": 41}, {"identifier": "Y87", "position": [10, 1], "step": 41, "ordinal_position": 42}, {"identifier": "C32", "position": [11, 1], "step": 42, "ordinal_position": 43}, {"identifier": "L40", "position": [11, 2], "step": 43, "ordinal_position": 44}, {"identifier": "A31", "position": [11, 3], "step": 44, "ordinal_position": 45}, {"identifier": "K23", "position": [10, 3], "step": 45, "ordinal_position": 46}, {"identifier": "U47", "position": [9, 3], "step": 46, "ordinal_position": 47}, {"identifier": "O93", "position": [9, 4], "step": 47, "ordinal_position": 48}, {"identifier": "W47", "position": [9, 5], "step": 48, "ordinal_position": 49}, {"identifier": "X78", "position": [9, 6], "step": 49, "ordinal_position": 50}, {"identifier": "J18", "position": [9, 7], "step": 50, "ordinal_position": 51}, {"identifier": "J76", "position": [10, 7], "step": 51, "ordinal_position": 52}, {"identifier": "N97", "position": [11, 7], "step": 52, "ordinal_position": 53}, {"identifier": "L69", "position": [11, 6], "step": 53, "ordinal_position": 54}, {"identifier": "B21", "position": [11, 5], "step": 54, "ordinal_position": 55}, {"identifier": "P35", "position": [12, 5], "step": 55, "ordinal_position": 56}, {"identifier": "K78", "position": [13, 5], "step": 56, "ordinal_position": 57}, {"identifier": "I65", "position": [13, 6], "step": 57, "ordinal_position": 58}, {"identifier": "L08", "position": [13, 7], "step": 58, "ordinal_position": 59}, {"identifier": "Y92", "position": [14, 7], "step": 59, "ordinal_position": 60}, {"identifier": "F80", "position": [15, 7], "step": 60, "ordinal_position": 61}, {"identifier": "F50", "position": [15, 6], "step": 61, "ordinal_position": 62}, {"identifier": "H48", "position": [15, 5], "step": 62, "ordinal_position": 63}, {"identifier": "O94", "position": [15, 4], "step": 63, "ordinal_position": 64}, {"identifier": "L58", "position": [15, 3], "step": 64, "ordinal_position": 65}, {"identifier": "F18", "position": [14, 3], "step": 65, "ordinal_position": 66}, {"identifier": "O75", "position": [13, 3], "step": 66, "ordinal_position": 67}, {"identifier": "T14", "position": [13, 2], "step": 67, "ordinal_position": 68}, {"identifier": "R01", "position": [13, 1], "step": 68, "ordinal_position": 69}, {"identifier": "V91", "position": [14, 1], "step": 69, "ordinal_position": 70}, {"identifier": "V96", "position": [15, 1], "step": 70, "ordinal_position": 71}, {"identifier": "U51", "position": [16, 1], "step": 71, "ordinal_position": 72}, {"identifier": "Y89", "position": [17, 1], "step": 72, "ordinal_position": 73}, {"identifier": "S71", "position": [18, 1], "step": 73, "ordinal_position": 74}, {"identifier": "M12", "position": [19, 1], "step": 74, "ordinal_position": 75}, {"identifier": "Z03", "position": [19, 2], "step": 75, "ordinal_position": 76}, {"identifier": "D70", "position": [19, 3], "step": 76, "ordinal_position": 77}, {"identifier": "K97", "position": [19, 4], "step": 77, "ordinal_position": 78}, {"identifier": "A34", "position": [19, 5], "step": 78, "ordinal_position": 79}, {"identifier": "Z97", "position": [18, 5], "step": 79, "ordinal_position": 80}, {"identifier": "U52", "position": [17, 5], "step": 80, "ordinal_position": 81}, {"identifier": "H00", "position": [17, 6], "step": 81, "ordinal_position": 82}, {"identifier": "W75", "position": [17, 7], "step": 82, "ordinal_position": 83}, {"identifier": "V60", "position": [18, 7], "step": 83, "ordinal_position": 84}, {"identifier": "B88", "position": [19, 7], "step": 84, "ordinal_position": 85}, {"identifier": "F62", "position": [19, 8], "step": 85, "ordinal_position": 86}, {"identifier": "O57", "position": [19, 9], "step": 86, "ordinal_position": 87}, {"identifier": "B55", "position": [18, 9], "step": 87, "ordinal_position": 88}, {"identifier": "S01", "position": [17, 9], "step": 88, "ordinal_position": 89}, {"identifier": "I40", "position": [17, 10], "step": 89, "ordinal_position": 90}, {"identifier": "I68", "position": [17, 11], "step": 90, "ordinal_position": 91}, {"identifier": "J31", "position": [18, 11], "step": 91, "ordinal_position": 92}, {"identifier": "M77", "position": [19, 11], "step": 92, "ordinal_position": 93}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 93, "direction": "left", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_012.json"}} {"qa_id": "994a528c384a46a0b511b8551aa3467f", "image_id": "L3-MazeLoop-test_21x21_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U25, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 160th position in this traversal?", "start_object_id": "U25", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [160], "ordinal_strings": ["160th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "A69", "traversal_path": [{"identifier": "U25", "position": [17, 13], "step": 0, "ordinal_position": 1}, {"identifier": "H73", "position": [17, 14], "step": 1, "ordinal_position": 2}, {"identifier": "Q19", "position": [17, 15], "step": 2, "ordinal_position": 3}, {"identifier": "Q69", "position": [18, 15], "step": 3, "ordinal_position": 4}, {"identifier": "Z22", "position": [19, 15], "step": 4, "ordinal_position": 5}, {"identifier": "R32", "position": [19, 16], "step": 5, "ordinal_position": 6}, {"identifier": "I20", "position": [19, 17], "step": 6, "ordinal_position": 7}, {"identifier": "V35", "position": [19, 18], "step": 7, "ordinal_position": 8}, {"identifier": "U50", "position": [19, 19], "step": 8, "ordinal_position": 9}, {"identifier": "L45", "position": [18, 19], "step": 9, "ordinal_position": 10}, {"identifier": "N41", "position": [17, 19], "step": 10, "ordinal_position": 11}, {"identifier": "Q99", "position": [17, 18], "step": 11, "ordinal_position": 12}, {"identifier": "J02", "position": [17, 17], "step": 12, "ordinal_position": 13}, {"identifier": "U13", "position": [18, 17], "step": 13, "ordinal_position": 14}, {"identifier": "I20", "position": [19, 17], "step": 14, "ordinal_position": 15}, {"identifier": "R32", "position": [19, 16], "step": 15, "ordinal_position": 16}, {"identifier": "Z22", "position": [19, 15], "step": 16, "ordinal_position": 17}, {"identifier": "Q69", "position": [18, 15], "step": 17, "ordinal_position": 18}, {"identifier": "Q19", "position": [17, 15], "step": 18, "ordinal_position": 19}, {"identifier": "H73", "position": [17, 14], "step": 19, "ordinal_position": 20}, {"identifier": "U25", "position": [17, 13], "step": 20, "ordinal_position": 21}, {"identifier": "P50", "position": [16, 13], "step": 21, "ordinal_position": 22}, {"identifier": "A25", "position": [15, 13], "step": 22, "ordinal_position": 23}, {"identifier": "Q62", "position": [15, 14], "step": 23, "ordinal_position": 24}, {"identifier": "M14", "position": [15, 15], "step": 24, "ordinal_position": 25}, {"identifier": "R34", "position": [15, 16], "step": 25, "ordinal_position": 26}, {"identifier": "V16", "position": [15, 17], "step": 26, "ordinal_position": 27}, {"identifier": "E01", "position": [15, 18], "step": 27, "ordinal_position": 28}, {"identifier": "Z90", "position": [15, 19], "step": 28, "ordinal_position": 29}, {"identifier": "C16", "position": [14, 19], "step": 29, "ordinal_position": 30}, {"identifier": "P93", "position": [13, 19], "step": 30, "ordinal_position": 31}, {"identifier": "G97", "position": [12, 19], "step": 31, "ordinal_position": 32}, {"identifier": "K43", "position": [11, 19], "step": 32, "ordinal_position": 33}, {"identifier": "Z51", "position": [10, 19], "step": 33, "ordinal_position": 34}, {"identifier": "O69", "position": [9, 19], "step": 34, "ordinal_position": 35}, {"identifier": "Y52", "position": [8, 19], "step": 35, "ordinal_position": 36}, {"identifier": "F15", "position": [7, 19], "step": 36, "ordinal_position": 37}, {"identifier": "P55", "position": [6, 19], "step": 37, "ordinal_position": 38}, {"identifier": "S84", "position": [5, 19], "step": 38, "ordinal_position": 39}, {"identifier": "N91", "position": [4, 19], "step": 39, "ordinal_position": 40}, {"identifier": "H34", "position": [3, 19], "step": 40, "ordinal_position": 41}, {"identifier": "W29", "position": [2, 19], "step": 41, "ordinal_position": 42}, {"identifier": "S36", "position": [1, 19], "step": 42, "ordinal_position": 43}, {"identifier": "M58", "position": [1, 18], "step": 43, "ordinal_position": 44}, {"identifier": "S87", "position": [1, 17], "step": 44, "ordinal_position": 45}, {"identifier": "R57", "position": [1, 16], "step": 45, "ordinal_position": 46}, {"identifier": "G07", "position": [1, 15], "step": 46, "ordinal_position": 47}, {"identifier": "R36", "position": [1, 14], "step": 47, "ordinal_position": 48}, {"identifier": "V41", "position": [1, 13], "step": 48, "ordinal_position": 49}, {"identifier": "M94", "position": [1, 12], "step": 49, "ordinal_position": 50}, {"identifier": "T98", "position": [1, 11], "step": 50, "ordinal_position": 51}, {"identifier": "A88", "position": [1, 10], "step": 51, "ordinal_position": 52}, {"identifier": "C94", "position": [1, 9], "step": 52, "ordinal_position": 53}, {"identifier": "Y84", "position": [1, 8], "step": 53, "ordinal_position": 54}, {"identifier": "H20", "position": [1, 7], "step": 54, "ordinal_position": 55}, {"identifier": "A69", "position": [1, 6], "step": 55, "ordinal_position": 56}, {"identifier": "X36", "position": [1, 5], "step": 56, "ordinal_position": 57}, {"identifier": "S17", "position": [1, 4], "step": 57, "ordinal_position": 58}, {"identifier": "Q89", "position": [1, 3], "step": 58, "ordinal_position": 59}, {"identifier": "T88", "position": [1, 2], "step": 59, "ordinal_position": 60}, {"identifier": "D45", "position": [1, 1], "step": 60, "ordinal_position": 61}, {"identifier": "C01", "position": [2, 1], "step": 61, "ordinal_position": 62}, {"identifier": "Y04", "position": [3, 1], "step": 62, "ordinal_position": 63}, {"identifier": "U17", "position": [4, 1], "step": 63, "ordinal_position": 64}, {"identifier": "B15", "position": [5, 1], "step": 64, "ordinal_position": 65}, {"identifier": "Z30", "position": [6, 1], "step": 65, "ordinal_position": 66}, {"identifier": "K31", "position": [7, 1], "step": 66, "ordinal_position": 67}, {"identifier": "I06", "position": [8, 1], "step": 67, "ordinal_position": 68}, {"identifier": "Q66", "position": [9, 1], "step": 68, "ordinal_position": 69}, {"identifier": "Y87", "position": [10, 1], "step": 69, "ordinal_position": 70}, {"identifier": "C32", "position": [11, 1], "step": 70, "ordinal_position": 71}, {"identifier": "L40", "position": [11, 2], "step": 71, "ordinal_position": 72}, {"identifier": "A31", "position": [11, 3], "step": 72, "ordinal_position": 73}, {"identifier": "K23", "position": [10, 3], "step": 73, "ordinal_position": 74}, {"identifier": "U47", "position": [9, 3], "step": 74, "ordinal_position": 75}, {"identifier": "O93", "position": [9, 4], "step": 75, "ordinal_position": 76}, {"identifier": "W47", "position": [9, 5], "step": 76, "ordinal_position": 77}, {"identifier": "X78", "position": [9, 6], "step": 77, "ordinal_position": 78}, {"identifier": "J18", "position": [9, 7], "step": 78, "ordinal_position": 79}, {"identifier": "J76", "position": [10, 7], "step": 79, "ordinal_position": 80}, {"identifier": "N97", "position": [11, 7], "step": 80, "ordinal_position": 81}, {"identifier": "L69", "position": [11, 6], "step": 81, "ordinal_position": 82}, {"identifier": "B21", "position": [11, 5], "step": 82, "ordinal_position": 83}, {"identifier": "P35", "position": [12, 5], "step": 83, "ordinal_position": 84}, {"identifier": "K78", "position": [13, 5], "step": 84, "ordinal_position": 85}, {"identifier": "I65", "position": [13, 6], "step": 85, "ordinal_position": 86}, {"identifier": "L08", "position": [13, 7], "step": 86, "ordinal_position": 87}, {"identifier": "Y92", "position": [14, 7], "step": 87, "ordinal_position": 88}, {"identifier": "F80", "position": [15, 7], "step": 88, "ordinal_position": 89}, {"identifier": "F50", "position": [15, 6], "step": 89, "ordinal_position": 90}, {"identifier": "H48", "position": [15, 5], "step": 90, "ordinal_position": 91}, {"identifier": "O94", "position": [15, 4], "step": 91, "ordinal_position": 92}, {"identifier": "L58", "position": [15, 3], "step": 92, "ordinal_position": 93}, {"identifier": "F18", "position": [14, 3], "step": 93, "ordinal_position": 94}, {"identifier": "O75", "position": [13, 3], "step": 94, "ordinal_position": 95}, {"identifier": "T14", "position": [13, 2], "step": 95, "ordinal_position": 96}, {"identifier": "R01", "position": [13, 1], "step": 96, "ordinal_position": 97}, {"identifier": "V91", "position": [14, 1], "step": 97, "ordinal_position": 98}, {"identifier": "V96", "position": [15, 1], "step": 98, "ordinal_position": 99}, {"identifier": "U51", "position": [16, 1], "step": 99, "ordinal_position": 100}, {"identifier": "Y89", "position": [17, 1], "step": 100, "ordinal_position": 101}, {"identifier": "S71", "position": [18, 1], "step": 101, "ordinal_position": 102}, {"identifier": "M12", "position": [19, 1], "step": 102, "ordinal_position": 103}, {"identifier": "Z03", "position": [19, 2], "step": 103, "ordinal_position": 104}, {"identifier": "D70", "position": [19, 3], "step": 104, "ordinal_position": 105}, {"identifier": "K97", "position": [19, 4], "step": 105, "ordinal_position": 106}, {"identifier": "A34", "position": [19, 5], "step": 106, "ordinal_position": 107}, {"identifier": "Z97", "position": [18, 5], "step": 107, "ordinal_position": 108}, {"identifier": "U52", "position": [17, 5], "step": 108, "ordinal_position": 109}, {"identifier": "H00", "position": [17, 6], "step": 109, "ordinal_position": 110}, {"identifier": "W75", "position": [17, 7], "step": 110, "ordinal_position": 111}, {"identifier": "V60", "position": [18, 7], "step": 111, "ordinal_position": 112}, {"identifier": "B88", "position": [19, 7], "step": 112, "ordinal_position": 113}, {"identifier": "F62", "position": [19, 8], "step": 113, "ordinal_position": 114}, {"identifier": "O57", "position": [19, 9], "step": 114, "ordinal_position": 115}, {"identifier": "B55", "position": [18, 9], "step": 115, "ordinal_position": 116}, {"identifier": "S01", "position": [17, 9], "step": 116, "ordinal_position": 117}, {"identifier": "I40", "position": [17, 10], "step": 117, "ordinal_position": 118}, {"identifier": "I68", "position": [17, 11], "step": 118, "ordinal_position": 119}, {"identifier": "J31", "position": [18, 11], "step": 119, "ordinal_position": 120}, {"identifier": "M77", "position": [19, 11], "step": 120, "ordinal_position": 121}, {"identifier": "K06", "position": [19, 12], "step": 121, "ordinal_position": 122}, {"identifier": "C31", "position": [19, 13], "step": 122, "ordinal_position": 123}, {"identifier": "W03", "position": [18, 13], "step": 123, "ordinal_position": 124}, {"identifier": "U25", "position": [17, 13], "step": 124, "ordinal_position": 125}, {"identifier": "P50", "position": [16, 13], "step": 125, "ordinal_position": 126}, {"identifier": "A25", "position": [15, 13], "step": 126, "ordinal_position": 127}, {"identifier": "Q62", "position": [15, 14], "step": 127, "ordinal_position": 128}, {"identifier": "M14", "position": [15, 15], "step": 128, "ordinal_position": 129}, {"identifier": "R34", "position": [15, 16], "step": 129, "ordinal_position": 130}, {"identifier": "V16", "position": [15, 17], "step": 130, "ordinal_position": 131}, {"identifier": "E01", "position": [15, 18], "step": 131, "ordinal_position": 132}, {"identifier": "Z90", "position": [15, 19], "step": 132, "ordinal_position": 133}, {"identifier": "C16", "position": [14, 19], "step": 133, "ordinal_position": 134}, {"identifier": "P93", "position": [13, 19], "step": 134, "ordinal_position": 135}, {"identifier": "G97", "position": [12, 19], "step": 135, "ordinal_position": 136}, {"identifier": "K43", "position": [11, 19], "step": 136, "ordinal_position": 137}, {"identifier": "Z51", "position": [10, 19], "step": 137, "ordinal_position": 138}, {"identifier": "O69", "position": [9, 19], "step": 138, "ordinal_position": 139}, {"identifier": "Y52", "position": [8, 19], "step": 139, "ordinal_position": 140}, {"identifier": "F15", "position": [7, 19], "step": 140, "ordinal_position": 141}, {"identifier": "P55", "position": [6, 19], "step": 141, "ordinal_position": 142}, {"identifier": "S84", "position": [5, 19], "step": 142, "ordinal_position": 143}, {"identifier": "N91", "position": [4, 19], "step": 143, "ordinal_position": 144}, {"identifier": "H34", "position": [3, 19], "step": 144, "ordinal_position": 145}, {"identifier": "W29", "position": [2, 19], "step": 145, "ordinal_position": 146}, {"identifier": "S36", "position": [1, 19], "step": 146, "ordinal_position": 147}, {"identifier": "M58", "position": [1, 18], "step": 147, "ordinal_position": 148}, {"identifier": "S87", "position": [1, 17], "step": 148, "ordinal_position": 149}, {"identifier": "R57", "position": [1, 16], "step": 149, "ordinal_position": 150}, {"identifier": "G07", "position": [1, 15], "step": 150, "ordinal_position": 151}, {"identifier": "R36", "position": [1, 14], "step": 151, "ordinal_position": 152}, {"identifier": "V41", "position": [1, 13], "step": 152, "ordinal_position": 153}, {"identifier": "M94", "position": [1, 12], "step": 153, "ordinal_position": 154}, {"identifier": "T98", "position": [1, 11], "step": 154, "ordinal_position": 155}, {"identifier": "A88", "position": [1, 10], "step": 155, "ordinal_position": 156}, {"identifier": "C94", "position": [1, 9], "step": 156, "ordinal_position": 157}, {"identifier": "Y84", "position": [1, 8], "step": 157, "ordinal_position": 158}, {"identifier": "H20", "position": [1, 7], "step": 158, "ordinal_position": 159}, {"identifier": "A69", "position": [1, 6], "step": 159, "ordinal_position": 160}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 160, "direction": "down", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_012.json"}} {"qa_id": "66423a3e7c434819abb006cd09589562", "image_id": "L3-MazeLoop-test_21x21_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W68, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 187th position in this traversal?", "start_object_id": "W68", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [187], "ordinal_strings": ["187th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Z03", "traversal_path": [{"identifier": "W68", "position": [7, 16], "step": 0, "ordinal_position": 1}, {"identifier": "P00", "position": [7, 17], "step": 1, "ordinal_position": 2}, {"identifier": "E63", "position": [8, 17], "step": 2, "ordinal_position": 3}, {"identifier": "U14", "position": [9, 17], "step": 3, "ordinal_position": 4}, {"identifier": "I24", "position": [10, 17], "step": 4, "ordinal_position": 5}, {"identifier": "T03", "position": [11, 17], "step": 5, "ordinal_position": 6}, {"identifier": "I19", "position": [12, 17], "step": 6, "ordinal_position": 7}, {"identifier": "M63", "position": [13, 17], "step": 7, "ordinal_position": 8}, {"identifier": "O46", "position": [13, 18], "step": 8, "ordinal_position": 9}, {"identifier": "P93", "position": [13, 19], "step": 9, "ordinal_position": 10}, {"identifier": "G97", "position": [12, 19], "step": 10, "ordinal_position": 11}, {"identifier": "K43", "position": [11, 19], "step": 11, "ordinal_position": 12}, {"identifier": "Z51", "position": [10, 19], "step": 12, "ordinal_position": 13}, {"identifier": "O69", "position": [9, 19], "step": 13, "ordinal_position": 14}, {"identifier": "Y52", "position": [8, 19], "step": 14, "ordinal_position": 15}, {"identifier": "F15", "position": [7, 19], "step": 15, "ordinal_position": 16}, {"identifier": "P55", "position": [6, 19], "step": 16, "ordinal_position": 17}, {"identifier": "S84", "position": [5, 19], "step": 17, "ordinal_position": 18}, {"identifier": "N91", "position": [4, 19], "step": 18, "ordinal_position": 19}, {"identifier": "H34", "position": [3, 19], "step": 19, "ordinal_position": 20}, {"identifier": "W29", "position": [2, 19], "step": 20, "ordinal_position": 21}, {"identifier": "S36", "position": [1, 19], "step": 21, "ordinal_position": 22}, {"identifier": "M58", "position": [1, 18], "step": 22, "ordinal_position": 23}, {"identifier": "S87", "position": [1, 17], "step": 23, "ordinal_position": 24}, {"identifier": "R57", "position": [1, 16], "step": 24, "ordinal_position": 25}, {"identifier": "G07", "position": [1, 15], "step": 25, "ordinal_position": 26}, {"identifier": "R36", "position": [1, 14], "step": 26, "ordinal_position": 27}, {"identifier": "V41", "position": [1, 13], "step": 27, "ordinal_position": 28}, {"identifier": "M94", "position": [1, 12], "step": 28, "ordinal_position": 29}, {"identifier": "T98", "position": [1, 11], "step": 29, "ordinal_position": 30}, {"identifier": "A88", "position": [1, 10], "step": 30, "ordinal_position": 31}, {"identifier": "C94", "position": [1, 9], "step": 31, "ordinal_position": 32}, {"identifier": "Y84", "position": [1, 8], "step": 32, "ordinal_position": 33}, {"identifier": "H20", "position": [1, 7], "step": 33, "ordinal_position": 34}, {"identifier": "A69", "position": [1, 6], "step": 34, "ordinal_position": 35}, {"identifier": "X36", "position": [1, 5], "step": 35, "ordinal_position": 36}, {"identifier": "S17", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "Q89", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "T88", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "D45", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "C01", "position": [2, 1], "step": 40, "ordinal_position": 41}, {"identifier": "Y04", "position": [3, 1], "step": 41, "ordinal_position": 42}, {"identifier": "U17", "position": [4, 1], "step": 42, "ordinal_position": 43}, {"identifier": "B15", "position": [5, 1], "step": 43, "ordinal_position": 44}, {"identifier": "Z30", "position": [6, 1], "step": 44, "ordinal_position": 45}, {"identifier": "K31", "position": [7, 1], "step": 45, "ordinal_position": 46}, {"identifier": "I06", "position": [8, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Q66", "position": [9, 1], "step": 47, "ordinal_position": 48}, {"identifier": "Y87", "position": [10, 1], "step": 48, "ordinal_position": 49}, {"identifier": "C32", "position": [11, 1], "step": 49, "ordinal_position": 50}, {"identifier": "L40", "position": [11, 2], "step": 50, "ordinal_position": 51}, {"identifier": "A31", "position": [11, 3], "step": 51, "ordinal_position": 52}, {"identifier": "K23", "position": [10, 3], "step": 52, "ordinal_position": 53}, {"identifier": "U47", "position": [9, 3], "step": 53, "ordinal_position": 54}, {"identifier": "O93", "position": [9, 4], "step": 54, "ordinal_position": 55}, {"identifier": "W47", "position": [9, 5], "step": 55, "ordinal_position": 56}, {"identifier": "X78", "position": [9, 6], "step": 56, "ordinal_position": 57}, {"identifier": "J18", "position": [9, 7], "step": 57, "ordinal_position": 58}, {"identifier": "J76", "position": [10, 7], "step": 58, "ordinal_position": 59}, {"identifier": "N97", "position": [11, 7], "step": 59, "ordinal_position": 60}, {"identifier": "L69", "position": [11, 6], "step": 60, "ordinal_position": 61}, {"identifier": "B21", "position": [11, 5], "step": 61, "ordinal_position": 62}, {"identifier": "P35", "position": [12, 5], "step": 62, "ordinal_position": 63}, {"identifier": "K78", "position": [13, 5], "step": 63, "ordinal_position": 64}, {"identifier": "I65", "position": [13, 6], "step": 64, "ordinal_position": 65}, {"identifier": "L08", "position": [13, 7], "step": 65, "ordinal_position": 66}, {"identifier": "Y92", "position": [14, 7], "step": 66, "ordinal_position": 67}, {"identifier": "F80", "position": [15, 7], "step": 67, "ordinal_position": 68}, {"identifier": "F50", "position": [15, 6], "step": 68, "ordinal_position": 69}, {"identifier": "H48", "position": [15, 5], "step": 69, "ordinal_position": 70}, {"identifier": "O94", "position": [15, 4], "step": 70, "ordinal_position": 71}, {"identifier": "L58", "position": [15, 3], "step": 71, "ordinal_position": 72}, {"identifier": "F18", "position": [14, 3], "step": 72, "ordinal_position": 73}, {"identifier": "O75", "position": [13, 3], "step": 73, "ordinal_position": 74}, {"identifier": "T14", "position": [13, 2], "step": 74, "ordinal_position": 75}, {"identifier": "R01", "position": [13, 1], "step": 75, "ordinal_position": 76}, {"identifier": "V91", "position": [14, 1], "step": 76, "ordinal_position": 77}, {"identifier": "V96", "position": [15, 1], "step": 77, "ordinal_position": 78}, {"identifier": "U51", "position": [16, 1], "step": 78, "ordinal_position": 79}, {"identifier": "Y89", "position": [17, 1], "step": 79, "ordinal_position": 80}, {"identifier": "S71", "position": [18, 1], "step": 80, "ordinal_position": 81}, {"identifier": "M12", "position": [19, 1], "step": 81, "ordinal_position": 82}, {"identifier": "Z03", "position": [19, 2], "step": 82, "ordinal_position": 83}, {"identifier": "D70", "position": [19, 3], "step": 83, "ordinal_position": 84}, {"identifier": "K97", "position": [19, 4], "step": 84, "ordinal_position": 85}, {"identifier": "A34", "position": [19, 5], "step": 85, "ordinal_position": 86}, {"identifier": "Z97", "position": [18, 5], "step": 86, "ordinal_position": 87}, {"identifier": "U52", "position": [17, 5], "step": 87, "ordinal_position": 88}, {"identifier": "H00", "position": [17, 6], "step": 88, "ordinal_position": 89}, {"identifier": "W75", "position": [17, 7], "step": 89, "ordinal_position": 90}, {"identifier": "V60", "position": [18, 7], "step": 90, "ordinal_position": 91}, {"identifier": "B88", "position": [19, 7], "step": 91, "ordinal_position": 92}, {"identifier": "F62", "position": [19, 8], "step": 92, "ordinal_position": 93}, {"identifier": "O57", "position": [19, 9], "step": 93, "ordinal_position": 94}, {"identifier": "B55", "position": [18, 9], "step": 94, "ordinal_position": 95}, {"identifier": "S01", "position": [17, 9], "step": 95, "ordinal_position": 96}, {"identifier": "I40", "position": [17, 10], "step": 96, "ordinal_position": 97}, {"identifier": "I68", "position": [17, 11], "step": 97, "ordinal_position": 98}, {"identifier": "J31", "position": [18, 11], "step": 98, "ordinal_position": 99}, {"identifier": "M77", "position": [19, 11], "step": 99, "ordinal_position": 100}, {"identifier": "K06", "position": [19, 12], "step": 100, "ordinal_position": 101}, {"identifier": "C31", "position": [19, 13], "step": 101, "ordinal_position": 102}, {"identifier": "W03", "position": [18, 13], "step": 102, "ordinal_position": 103}, {"identifier": "U25", "position": [17, 13], "step": 103, "ordinal_position": 104}, {"identifier": "P50", "position": [16, 13], "step": 104, "ordinal_position": 105}, {"identifier": "A25", "position": [15, 13], "step": 105, "ordinal_position": 106}, {"identifier": "Q62", "position": [15, 14], "step": 106, "ordinal_position": 107}, {"identifier": "M14", "position": [15, 15], "step": 107, "ordinal_position": 108}, {"identifier": "R34", "position": [15, 16], "step": 108, "ordinal_position": 109}, {"identifier": "V16", "position": [15, 17], "step": 109, "ordinal_position": 110}, {"identifier": "E01", "position": [15, 18], "step": 110, "ordinal_position": 111}, {"identifier": "Z90", "position": [15, 19], "step": 111, "ordinal_position": 112}, {"identifier": "C16", "position": [14, 19], "step": 112, "ordinal_position": 113}, {"identifier": "P93", "position": [13, 19], "step": 113, "ordinal_position": 114}, {"identifier": "G97", "position": [12, 19], "step": 114, "ordinal_position": 115}, {"identifier": "K43", "position": [11, 19], "step": 115, "ordinal_position": 116}, {"identifier": "Z51", "position": [10, 19], "step": 116, "ordinal_position": 117}, {"identifier": "O69", "position": [9, 19], "step": 117, "ordinal_position": 118}, {"identifier": "Y52", "position": [8, 19], "step": 118, "ordinal_position": 119}, {"identifier": "F15", "position": [7, 19], "step": 119, "ordinal_position": 120}, {"identifier": "P55", "position": [6, 19], "step": 120, "ordinal_position": 121}, {"identifier": "S84", "position": [5, 19], "step": 121, "ordinal_position": 122}, {"identifier": "N91", "position": [4, 19], "step": 122, "ordinal_position": 123}, {"identifier": "H34", "position": [3, 19], "step": 123, "ordinal_position": 124}, {"identifier": "W29", "position": [2, 19], "step": 124, "ordinal_position": 125}, {"identifier": "S36", "position": [1, 19], "step": 125, "ordinal_position": 126}, {"identifier": "M58", "position": [1, 18], "step": 126, "ordinal_position": 127}, {"identifier": "S87", "position": [1, 17], "step": 127, "ordinal_position": 128}, {"identifier": "R57", "position": [1, 16], "step": 128, "ordinal_position": 129}, {"identifier": "G07", "position": [1, 15], "step": 129, "ordinal_position": 130}, {"identifier": "R36", "position": [1, 14], "step": 130, "ordinal_position": 131}, {"identifier": "V41", "position": [1, 13], "step": 131, "ordinal_position": 132}, {"identifier": "M94", "position": [1, 12], "step": 132, "ordinal_position": 133}, {"identifier": "T98", "position": [1, 11], "step": 133, "ordinal_position": 134}, {"identifier": "A88", "position": [1, 10], "step": 134, "ordinal_position": 135}, {"identifier": "C94", "position": [1, 9], "step": 135, "ordinal_position": 136}, {"identifier": "Y84", "position": [1, 8], "step": 136, "ordinal_position": 137}, {"identifier": "H20", "position": [1, 7], "step": 137, "ordinal_position": 138}, {"identifier": "A69", "position": [1, 6], "step": 138, "ordinal_position": 139}, {"identifier": "X36", "position": [1, 5], "step": 139, "ordinal_position": 140}, {"identifier": "S17", "position": [1, 4], "step": 140, "ordinal_position": 141}, {"identifier": "Q89", "position": [1, 3], "step": 141, "ordinal_position": 142}, {"identifier": "T88", "position": [1, 2], "step": 142, "ordinal_position": 143}, {"identifier": "D45", "position": [1, 1], "step": 143, "ordinal_position": 144}, {"identifier": "C01", "position": [2, 1], "step": 144, "ordinal_position": 145}, {"identifier": "Y04", "position": [3, 1], "step": 145, "ordinal_position": 146}, {"identifier": "U17", "position": [4, 1], "step": 146, "ordinal_position": 147}, {"identifier": "B15", "position": [5, 1], "step": 147, "ordinal_position": 148}, {"identifier": "Z30", "position": [6, 1], "step": 148, "ordinal_position": 149}, {"identifier": "K31", "position": [7, 1], "step": 149, "ordinal_position": 150}, {"identifier": "I06", "position": [8, 1], "step": 150, "ordinal_position": 151}, {"identifier": "Q66", "position": [9, 1], "step": 151, "ordinal_position": 152}, {"identifier": "Y87", "position": [10, 1], "step": 152, "ordinal_position": 153}, {"identifier": "C32", "position": [11, 1], "step": 153, "ordinal_position": 154}, {"identifier": "L40", "position": [11, 2], "step": 154, "ordinal_position": 155}, {"identifier": "A31", "position": [11, 3], "step": 155, "ordinal_position": 156}, {"identifier": "K23", "position": [10, 3], "step": 156, "ordinal_position": 157}, {"identifier": "U47", "position": [9, 3], "step": 157, "ordinal_position": 158}, {"identifier": "O93", "position": [9, 4], "step": 158, "ordinal_position": 159}, {"identifier": "W47", "position": [9, 5], "step": 159, "ordinal_position": 160}, {"identifier": "X78", "position": [9, 6], "step": 160, "ordinal_position": 161}, {"identifier": "J18", "position": [9, 7], "step": 161, "ordinal_position": 162}, {"identifier": "J76", "position": [10, 7], "step": 162, "ordinal_position": 163}, {"identifier": "N97", "position": [11, 7], "step": 163, "ordinal_position": 164}, {"identifier": "L69", "position": [11, 6], "step": 164, "ordinal_position": 165}, {"identifier": "B21", "position": [11, 5], "step": 165, "ordinal_position": 166}, {"identifier": "P35", "position": [12, 5], "step": 166, "ordinal_position": 167}, {"identifier": "K78", "position": [13, 5], "step": 167, "ordinal_position": 168}, {"identifier": "I65", "position": [13, 6], "step": 168, "ordinal_position": 169}, {"identifier": "L08", "position": [13, 7], "step": 169, "ordinal_position": 170}, {"identifier": "Y92", "position": [14, 7], "step": 170, "ordinal_position": 171}, {"identifier": "F80", "position": [15, 7], "step": 171, "ordinal_position": 172}, {"identifier": "F50", "position": [15, 6], "step": 172, "ordinal_position": 173}, {"identifier": "H48", "position": [15, 5], "step": 173, "ordinal_position": 174}, {"identifier": "O94", "position": [15, 4], "step": 174, "ordinal_position": 175}, {"identifier": "L58", "position": [15, 3], "step": 175, "ordinal_position": 176}, {"identifier": "F18", "position": [14, 3], "step": 176, "ordinal_position": 177}, {"identifier": "O75", "position": [13, 3], "step": 177, "ordinal_position": 178}, {"identifier": "T14", "position": [13, 2], "step": 178, "ordinal_position": 179}, {"identifier": "R01", "position": [13, 1], "step": 179, "ordinal_position": 180}, {"identifier": "V91", "position": [14, 1], "step": 180, "ordinal_position": 181}, {"identifier": "V96", "position": [15, 1], "step": 181, "ordinal_position": 182}, {"identifier": "U51", "position": [16, 1], "step": 182, "ordinal_position": 183}, {"identifier": "Y89", "position": [17, 1], "step": 183, "ordinal_position": 184}, {"identifier": "S71", "position": [18, 1], "step": 184, "ordinal_position": 185}, {"identifier": "M12", "position": [19, 1], "step": 185, "ordinal_position": 186}, {"identifier": "Z03", "position": [19, 2], "step": 186, "ordinal_position": 187}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 187, "direction": "down", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_012.json"}} {"qa_id": "821d0a93bb54439598cf333d3458803e", "image_id": "L3-MazeLoop-test_21x21_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P54, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 100th position in this traversal?", "start_object_id": "P54", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [100], "ordinal_strings": ["100th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "S84", "traversal_path": [{"identifier": "P54", "position": [14, 11], "step": 0, "ordinal_position": 1}, {"identifier": "X13", "position": [15, 11], "step": 1, "ordinal_position": 2}, {"identifier": "N25", "position": [15, 10], "step": 2, "ordinal_position": 3}, {"identifier": "H78", "position": [15, 9], "step": 3, "ordinal_position": 4}, {"identifier": "T47", "position": [14, 9], "step": 4, "ordinal_position": 5}, {"identifier": "K62", "position": [13, 9], "step": 5, "ordinal_position": 6}, {"identifier": "J33", "position": [12, 9], "step": 6, "ordinal_position": 7}, {"identifier": "O27", "position": [11, 9], "step": 7, "ordinal_position": 8}, {"identifier": "M51", "position": [10, 9], "step": 8, "ordinal_position": 9}, {"identifier": "B74", "position": [9, 9], "step": 9, "ordinal_position": 10}, {"identifier": "A53", "position": [8, 9], "step": 10, "ordinal_position": 11}, {"identifier": "B26", "position": [7, 9], "step": 11, "ordinal_position": 12}, {"identifier": "H36", "position": [7, 8], "step": 12, "ordinal_position": 13}, {"identifier": "M79", "position": [7, 7], "step": 13, "ordinal_position": 14}, {"identifier": "P92", "position": [6, 7], "step": 14, "ordinal_position": 15}, {"identifier": "B14", "position": [5, 7], "step": 15, "ordinal_position": 16}, {"identifier": "O78", "position": [5, 6], "step": 16, "ordinal_position": 17}, {"identifier": "N61", "position": [5, 5], "step": 17, "ordinal_position": 18}, {"identifier": "F29", "position": [5, 4], "step": 18, "ordinal_position": 19}, {"identifier": "U69", "position": [5, 3], "step": 19, "ordinal_position": 20}, {"identifier": "Z48", "position": [5, 2], "step": 20, "ordinal_position": 21}, {"identifier": "B15", "position": [5, 1], "step": 21, "ordinal_position": 22}, {"identifier": "Z30", "position": [6, 1], "step": 22, "ordinal_position": 23}, {"identifier": "K31", "position": [7, 1], "step": 23, "ordinal_position": 24}, {"identifier": "I06", "position": [8, 1], "step": 24, "ordinal_position": 25}, {"identifier": "Q66", "position": [9, 1], "step": 25, "ordinal_position": 26}, {"identifier": "Y87", "position": [10, 1], "step": 26, "ordinal_position": 27}, {"identifier": "C32", "position": [11, 1], "step": 27, "ordinal_position": 28}, {"identifier": "L40", "position": [11, 2], "step": 28, "ordinal_position": 29}, {"identifier": "A31", "position": [11, 3], "step": 29, "ordinal_position": 30}, {"identifier": "K23", "position": [10, 3], "step": 30, "ordinal_position": 31}, {"identifier": "U47", "position": [9, 3], "step": 31, "ordinal_position": 32}, {"identifier": "O93", "position": [9, 4], "step": 32, "ordinal_position": 33}, {"identifier": "W47", "position": [9, 5], "step": 33, "ordinal_position": 34}, {"identifier": "X78", "position": [9, 6], "step": 34, "ordinal_position": 35}, {"identifier": "J18", "position": [9, 7], "step": 35, "ordinal_position": 36}, {"identifier": "J76", "position": [10, 7], "step": 36, "ordinal_position": 37}, {"identifier": "N97", "position": [11, 7], "step": 37, "ordinal_position": 38}, {"identifier": "L69", "position": [11, 6], "step": 38, "ordinal_position": 39}, {"identifier": "B21", "position": [11, 5], "step": 39, "ordinal_position": 40}, {"identifier": "P35", "position": [12, 5], "step": 40, "ordinal_position": 41}, {"identifier": "K78", "position": [13, 5], "step": 41, "ordinal_position": 42}, {"identifier": "I65", "position": [13, 6], "step": 42, "ordinal_position": 43}, {"identifier": "L08", "position": [13, 7], "step": 43, "ordinal_position": 44}, {"identifier": "Y92", "position": [14, 7], "step": 44, "ordinal_position": 45}, {"identifier": "F80", "position": [15, 7], "step": 45, "ordinal_position": 46}, {"identifier": "F50", "position": [15, 6], "step": 46, "ordinal_position": 47}, {"identifier": "H48", "position": [15, 5], "step": 47, "ordinal_position": 48}, {"identifier": "O94", "position": [15, 4], "step": 48, "ordinal_position": 49}, {"identifier": "L58", "position": [15, 3], "step": 49, "ordinal_position": 50}, {"identifier": "F18", "position": [14, 3], "step": 50, "ordinal_position": 51}, {"identifier": "O75", "position": [13, 3], "step": 51, "ordinal_position": 52}, {"identifier": "T14", "position": [13, 2], "step": 52, "ordinal_position": 53}, {"identifier": "R01", "position": [13, 1], "step": 53, "ordinal_position": 54}, {"identifier": "V91", "position": [14, 1], "step": 54, "ordinal_position": 55}, {"identifier": "V96", "position": [15, 1], "step": 55, "ordinal_position": 56}, {"identifier": "U51", "position": [16, 1], "step": 56, "ordinal_position": 57}, {"identifier": "Y89", "position": [17, 1], "step": 57, "ordinal_position": 58}, {"identifier": "S71", "position": [18, 1], "step": 58, "ordinal_position": 59}, {"identifier": "M12", "position": [19, 1], "step": 59, "ordinal_position": 60}, {"identifier": "Z03", "position": [19, 2], "step": 60, "ordinal_position": 61}, {"identifier": "D70", "position": [19, 3], "step": 61, "ordinal_position": 62}, {"identifier": "K97", "position": [19, 4], "step": 62, "ordinal_position": 63}, {"identifier": "A34", "position": [19, 5], "step": 63, "ordinal_position": 64}, {"identifier": "Z97", "position": [18, 5], "step": 64, "ordinal_position": 65}, {"identifier": "U52", "position": [17, 5], "step": 65, "ordinal_position": 66}, {"identifier": "H00", "position": [17, 6], "step": 66, "ordinal_position": 67}, {"identifier": "W75", "position": [17, 7], "step": 67, "ordinal_position": 68}, {"identifier": "V60", "position": [18, 7], "step": 68, "ordinal_position": 69}, {"identifier": "B88", "position": [19, 7], "step": 69, "ordinal_position": 70}, {"identifier": "F62", "position": [19, 8], "step": 70, "ordinal_position": 71}, {"identifier": "O57", "position": [19, 9], "step": 71, "ordinal_position": 72}, {"identifier": "B55", "position": [18, 9], "step": 72, "ordinal_position": 73}, {"identifier": "S01", "position": [17, 9], "step": 73, "ordinal_position": 74}, {"identifier": "I40", "position": [17, 10], "step": 74, "ordinal_position": 75}, {"identifier": "I68", "position": [17, 11], "step": 75, "ordinal_position": 76}, {"identifier": "J31", "position": [18, 11], "step": 76, "ordinal_position": 77}, {"identifier": "M77", "position": [19, 11], "step": 77, "ordinal_position": 78}, {"identifier": "K06", "position": [19, 12], "step": 78, "ordinal_position": 79}, {"identifier": "C31", "position": [19, 13], "step": 79, "ordinal_position": 80}, {"identifier": "W03", "position": [18, 13], "step": 80, "ordinal_position": 81}, {"identifier": "U25", "position": [17, 13], "step": 81, "ordinal_position": 82}, {"identifier": "P50", "position": [16, 13], "step": 82, "ordinal_position": 83}, {"identifier": "A25", "position": [15, 13], "step": 83, "ordinal_position": 84}, {"identifier": "Q62", "position": [15, 14], "step": 84, "ordinal_position": 85}, {"identifier": "M14", "position": [15, 15], "step": 85, "ordinal_position": 86}, {"identifier": "R34", "position": [15, 16], "step": 86, "ordinal_position": 87}, {"identifier": "V16", "position": [15, 17], "step": 87, "ordinal_position": 88}, {"identifier": "E01", "position": [15, 18], "step": 88, "ordinal_position": 89}, {"identifier": "Z90", "position": [15, 19], "step": 89, "ordinal_position": 90}, {"identifier": "C16", "position": [14, 19], "step": 90, "ordinal_position": 91}, {"identifier": "P93", "position": [13, 19], "step": 91, "ordinal_position": 92}, {"identifier": "G97", "position": [12, 19], "step": 92, "ordinal_position": 93}, {"identifier": "K43", "position": [11, 19], "step": 93, "ordinal_position": 94}, {"identifier": "Z51", "position": [10, 19], "step": 94, "ordinal_position": 95}, {"identifier": "O69", "position": [9, 19], "step": 95, "ordinal_position": 96}, {"identifier": "Y52", "position": [8, 19], "step": 96, "ordinal_position": 97}, {"identifier": "F15", "position": [7, 19], "step": 97, "ordinal_position": 98}, {"identifier": "P55", "position": [6, 19], "step": 98, "ordinal_position": 99}, {"identifier": "S84", "position": [5, 19], "step": 99, "ordinal_position": 100}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 100, "direction": "right", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_012.json"}} {"qa_id": "268fffa1d4be40288e941a4087b2460c", "image_id": "L3-MazeLoop-test_21x21_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q69, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 233rd position in this traversal?", "start_object_id": "Q69", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [233], "ordinal_strings": ["233rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "E01", "traversal_path": [{"identifier": "Q69", "position": [18, 15], "step": 0, "ordinal_position": 1}, {"identifier": "Z22", "position": [19, 15], "step": 1, "ordinal_position": 2}, {"identifier": "R32", "position": [19, 16], "step": 2, "ordinal_position": 3}, {"identifier": "I20", "position": [19, 17], "step": 3, "ordinal_position": 4}, {"identifier": "V35", "position": [19, 18], "step": 4, "ordinal_position": 5}, {"identifier": "U50", "position": [19, 19], "step": 5, "ordinal_position": 6}, {"identifier": "L45", "position": [18, 19], "step": 6, "ordinal_position": 7}, {"identifier": "N41", "position": [17, 19], "step": 7, "ordinal_position": 8}, {"identifier": "Q99", "position": [17, 18], "step": 8, "ordinal_position": 9}, {"identifier": "J02", "position": [17, 17], "step": 9, "ordinal_position": 10}, {"identifier": "U13", "position": [18, 17], "step": 10, "ordinal_position": 11}, {"identifier": "I20", "position": [19, 17], "step": 11, "ordinal_position": 12}, {"identifier": "R32", "position": [19, 16], "step": 12, "ordinal_position": 13}, {"identifier": "Z22", "position": [19, 15], "step": 13, "ordinal_position": 14}, {"identifier": "Q69", "position": [18, 15], "step": 14, "ordinal_position": 15}, {"identifier": "Q19", "position": [17, 15], "step": 15, "ordinal_position": 16}, {"identifier": "H73", "position": [17, 14], "step": 16, "ordinal_position": 17}, {"identifier": "U25", "position": [17, 13], "step": 17, "ordinal_position": 18}, {"identifier": "P50", "position": [16, 13], "step": 18, "ordinal_position": 19}, {"identifier": "A25", "position": [15, 13], "step": 19, "ordinal_position": 20}, {"identifier": "Q62", "position": [15, 14], "step": 20, "ordinal_position": 21}, {"identifier": "M14", "position": [15, 15], "step": 21, "ordinal_position": 22}, {"identifier": "R34", "position": [15, 16], "step": 22, "ordinal_position": 23}, {"identifier": "V16", "position": [15, 17], "step": 23, "ordinal_position": 24}, {"identifier": "E01", "position": [15, 18], "step": 24, "ordinal_position": 25}, {"identifier": "Z90", "position": [15, 19], "step": 25, "ordinal_position": 26}, {"identifier": "C16", "position": [14, 19], "step": 26, "ordinal_position": 27}, {"identifier": "P93", "position": [13, 19], "step": 27, "ordinal_position": 28}, {"identifier": "G97", "position": [12, 19], "step": 28, "ordinal_position": 29}, {"identifier": "K43", "position": [11, 19], "step": 29, "ordinal_position": 30}, {"identifier": "Z51", "position": [10, 19], "step": 30, "ordinal_position": 31}, {"identifier": "O69", "position": [9, 19], "step": 31, "ordinal_position": 32}, {"identifier": "Y52", "position": [8, 19], "step": 32, "ordinal_position": 33}, {"identifier": "F15", "position": [7, 19], "step": 33, "ordinal_position": 34}, {"identifier": "P55", "position": [6, 19], "step": 34, "ordinal_position": 35}, {"identifier": "S84", "position": [5, 19], "step": 35, "ordinal_position": 36}, {"identifier": "N91", "position": [4, 19], "step": 36, "ordinal_position": 37}, {"identifier": "H34", "position": [3, 19], "step": 37, "ordinal_position": 38}, {"identifier": "W29", "position": [2, 19], "step": 38, "ordinal_position": 39}, {"identifier": "S36", "position": [1, 19], "step": 39, "ordinal_position": 40}, {"identifier": "M58", "position": [1, 18], "step": 40, "ordinal_position": 41}, {"identifier": "S87", "position": [1, 17], "step": 41, "ordinal_position": 42}, {"identifier": "R57", "position": [1, 16], "step": 42, "ordinal_position": 43}, {"identifier": "G07", "position": [1, 15], "step": 43, "ordinal_position": 44}, {"identifier": "R36", "position": [1, 14], "step": 44, "ordinal_position": 45}, {"identifier": "V41", "position": [1, 13], "step": 45, "ordinal_position": 46}, {"identifier": "M94", "position": [1, 12], "step": 46, "ordinal_position": 47}, {"identifier": "T98", "position": [1, 11], "step": 47, "ordinal_position": 48}, {"identifier": "A88", "position": [1, 10], "step": 48, "ordinal_position": 49}, {"identifier": "C94", "position": [1, 9], "step": 49, "ordinal_position": 50}, {"identifier": "Y84", "position": [1, 8], "step": 50, "ordinal_position": 51}, {"identifier": "H20", "position": [1, 7], "step": 51, "ordinal_position": 52}, {"identifier": "A69", "position": [1, 6], "step": 52, "ordinal_position": 53}, {"identifier": "X36", "position": [1, 5], "step": 53, "ordinal_position": 54}, {"identifier": "S17", "position": [1, 4], "step": 54, "ordinal_position": 55}, {"identifier": "Q89", "position": [1, 3], "step": 55, "ordinal_position": 56}, {"identifier": "T88", "position": [1, 2], "step": 56, "ordinal_position": 57}, {"identifier": "D45", "position": [1, 1], "step": 57, "ordinal_position": 58}, {"identifier": "C01", "position": [2, 1], "step": 58, "ordinal_position": 59}, {"identifier": "Y04", "position": [3, 1], "step": 59, "ordinal_position": 60}, {"identifier": "U17", "position": [4, 1], "step": 60, "ordinal_position": 61}, {"identifier": "B15", "position": [5, 1], "step": 61, "ordinal_position": 62}, {"identifier": "Z30", "position": [6, 1], "step": 62, "ordinal_position": 63}, {"identifier": "K31", "position": [7, 1], "step": 63, "ordinal_position": 64}, {"identifier": "I06", "position": [8, 1], "step": 64, "ordinal_position": 65}, {"identifier": "Q66", "position": [9, 1], "step": 65, "ordinal_position": 66}, {"identifier": "Y87", "position": [10, 1], "step": 66, "ordinal_position": 67}, {"identifier": "C32", "position": [11, 1], "step": 67, "ordinal_position": 68}, {"identifier": "L40", "position": [11, 2], "step": 68, "ordinal_position": 69}, {"identifier": "A31", "position": [11, 3], "step": 69, "ordinal_position": 70}, {"identifier": "K23", "position": [10, 3], "step": 70, "ordinal_position": 71}, {"identifier": "U47", "position": [9, 3], "step": 71, "ordinal_position": 72}, {"identifier": "O93", "position": [9, 4], "step": 72, "ordinal_position": 73}, {"identifier": "W47", "position": [9, 5], "step": 73, "ordinal_position": 74}, {"identifier": "X78", "position": [9, 6], "step": 74, "ordinal_position": 75}, {"identifier": "J18", "position": [9, 7], "step": 75, "ordinal_position": 76}, {"identifier": "J76", "position": [10, 7], "step": 76, "ordinal_position": 77}, {"identifier": "N97", "position": [11, 7], "step": 77, "ordinal_position": 78}, {"identifier": "L69", "position": [11, 6], "step": 78, "ordinal_position": 79}, {"identifier": "B21", "position": [11, 5], "step": 79, "ordinal_position": 80}, {"identifier": "P35", "position": [12, 5], "step": 80, "ordinal_position": 81}, {"identifier": "K78", "position": [13, 5], "step": 81, "ordinal_position": 82}, {"identifier": "I65", "position": [13, 6], "step": 82, "ordinal_position": 83}, {"identifier": "L08", "position": [13, 7], "step": 83, "ordinal_position": 84}, {"identifier": "Y92", "position": [14, 7], "step": 84, "ordinal_position": 85}, {"identifier": "F80", "position": [15, 7], "step": 85, "ordinal_position": 86}, {"identifier": "F50", "position": [15, 6], "step": 86, "ordinal_position": 87}, {"identifier": "H48", "position": [15, 5], "step": 87, "ordinal_position": 88}, {"identifier": "O94", "position": [15, 4], "step": 88, "ordinal_position": 89}, {"identifier": "L58", "position": [15, 3], "step": 89, "ordinal_position": 90}, {"identifier": "F18", "position": [14, 3], "step": 90, "ordinal_position": 91}, {"identifier": "O75", "position": [13, 3], "step": 91, "ordinal_position": 92}, {"identifier": "T14", "position": [13, 2], "step": 92, "ordinal_position": 93}, {"identifier": "R01", "position": [13, 1], "step": 93, "ordinal_position": 94}, {"identifier": "V91", "position": [14, 1], "step": 94, "ordinal_position": 95}, {"identifier": "V96", "position": [15, 1], "step": 95, "ordinal_position": 96}, {"identifier": "U51", "position": [16, 1], "step": 96, "ordinal_position": 97}, {"identifier": "Y89", "position": [17, 1], "step": 97, "ordinal_position": 98}, {"identifier": "S71", "position": [18, 1], "step": 98, "ordinal_position": 99}, {"identifier": "M12", "position": [19, 1], "step": 99, "ordinal_position": 100}, {"identifier": "Z03", "position": [19, 2], "step": 100, "ordinal_position": 101}, {"identifier": "D70", "position": [19, 3], "step": 101, "ordinal_position": 102}, {"identifier": "K97", "position": [19, 4], "step": 102, "ordinal_position": 103}, {"identifier": "A34", "position": [19, 5], "step": 103, "ordinal_position": 104}, {"identifier": "Z97", "position": [18, 5], "step": 104, "ordinal_position": 105}, {"identifier": "U52", "position": [17, 5], "step": 105, "ordinal_position": 106}, {"identifier": "H00", "position": [17, 6], "step": 106, "ordinal_position": 107}, {"identifier": "W75", "position": [17, 7], "step": 107, "ordinal_position": 108}, {"identifier": "V60", "position": [18, 7], "step": 108, "ordinal_position": 109}, {"identifier": "B88", "position": [19, 7], "step": 109, "ordinal_position": 110}, {"identifier": "F62", "position": [19, 8], "step": 110, "ordinal_position": 111}, {"identifier": "O57", "position": [19, 9], "step": 111, "ordinal_position": 112}, {"identifier": "B55", "position": [18, 9], "step": 112, "ordinal_position": 113}, {"identifier": "S01", "position": [17, 9], "step": 113, "ordinal_position": 114}, {"identifier": "I40", "position": [17, 10], "step": 114, "ordinal_position": 115}, {"identifier": "I68", "position": [17, 11], "step": 115, "ordinal_position": 116}, {"identifier": "J31", "position": [18, 11], "step": 116, "ordinal_position": 117}, {"identifier": "M77", "position": [19, 11], "step": 117, "ordinal_position": 118}, {"identifier": "K06", "position": [19, 12], "step": 118, "ordinal_position": 119}, {"identifier": "C31", "position": [19, 13], "step": 119, 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"ordinal_position": 132}, {"identifier": "G97", "position": [12, 19], "step": 132, "ordinal_position": 133}, {"identifier": "K43", "position": [11, 19], "step": 133, "ordinal_position": 134}, {"identifier": "Z51", "position": [10, 19], "step": 134, "ordinal_position": 135}, {"identifier": "O69", "position": [9, 19], "step": 135, "ordinal_position": 136}, {"identifier": "Y52", "position": [8, 19], "step": 136, "ordinal_position": 137}, {"identifier": "F15", "position": [7, 19], "step": 137, "ordinal_position": 138}, {"identifier": "P55", "position": [6, 19], "step": 138, "ordinal_position": 139}, {"identifier": "S84", "position": [5, 19], "step": 139, "ordinal_position": 140}, {"identifier": "N91", "position": [4, 19], "step": 140, "ordinal_position": 141}, {"identifier": "H34", "position": [3, 19], "step": 141, "ordinal_position": 142}, {"identifier": "W29", "position": [2, 19], "step": 142, "ordinal_position": 143}, {"identifier": "S36", "position": [1, 19], "step": 143, "ordinal_position": 144}, {"identifier": "M58", "position": [1, 18], "step": 144, "ordinal_position": 145}, {"identifier": "S87", "position": [1, 17], "step": 145, "ordinal_position": 146}, {"identifier": "R57", "position": [1, 16], "step": 146, "ordinal_position": 147}, {"identifier": "G07", "position": [1, 15], "step": 147, "ordinal_position": 148}, {"identifier": "R36", "position": [1, 14], "step": 148, "ordinal_position": 149}, {"identifier": "V41", "position": [1, 13], "step": 149, "ordinal_position": 150}, {"identifier": "M94", "position": [1, 12], "step": 150, "ordinal_position": 151}, {"identifier": "T98", "position": [1, 11], "step": 151, "ordinal_position": 152}, {"identifier": "A88", "position": [1, 10], "step": 152, "ordinal_position": 153}, {"identifier": "C94", "position": [1, 9], "step": 153, "ordinal_position": 154}, {"identifier": "Y84", "position": [1, 8], "step": 154, "ordinal_position": 155}, {"identifier": "H20", "position": [1, 7], "step": 155, "ordinal_position": 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"position": [8, 1], "step": 168, "ordinal_position": 169}, {"identifier": "Q66", "position": [9, 1], "step": 169, "ordinal_position": 170}, {"identifier": "Y87", "position": [10, 1], "step": 170, "ordinal_position": 171}, {"identifier": "C32", "position": [11, 1], "step": 171, "ordinal_position": 172}, {"identifier": "L40", "position": [11, 2], "step": 172, "ordinal_position": 173}, {"identifier": "A31", "position": [11, 3], "step": 173, "ordinal_position": 174}, {"identifier": "K23", "position": [10, 3], "step": 174, "ordinal_position": 175}, {"identifier": "U47", "position": [9, 3], "step": 175, "ordinal_position": 176}, {"identifier": "O93", "position": [9, 4], "step": 176, "ordinal_position": 177}, {"identifier": "W47", "position": [9, 5], "step": 177, "ordinal_position": 178}, {"identifier": "X78", "position": [9, 6], "step": 178, "ordinal_position": 179}, {"identifier": "J18", "position": [9, 7], "step": 179, "ordinal_position": 180}, {"identifier": "J76", "position": [10, 7], "step": 180, "ordinal_position": 181}, {"identifier": "N97", "position": [11, 7], "step": 181, "ordinal_position": 182}, {"identifier": "L69", "position": [11, 6], "step": 182, "ordinal_position": 183}, {"identifier": "B21", "position": [11, 5], "step": 183, "ordinal_position": 184}, {"identifier": "P35", "position": [12, 5], "step": 184, "ordinal_position": 185}, {"identifier": "K78", "position": [13, 5], "step": 185, "ordinal_position": 186}, {"identifier": "I65", "position": [13, 6], "step": 186, "ordinal_position": 187}, {"identifier": "L08", "position": [13, 7], "step": 187, "ordinal_position": 188}, {"identifier": "Y92", "position": [14, 7], "step": 188, "ordinal_position": 189}, {"identifier": "F80", "position": [15, 7], "step": 189, "ordinal_position": 190}, {"identifier": "F50", "position": [15, 6], "step": 190, "ordinal_position": 191}, {"identifier": "H48", "position": [15, 5], "step": 191, "ordinal_position": 192}, {"identifier": "O94", "position": [15, 4], "step": 192, "ordinal_position": 193}, {"identifier": "L58", "position": [15, 3], "step": 193, "ordinal_position": 194}, {"identifier": "F18", "position": [14, 3], "step": 194, "ordinal_position": 195}, {"identifier": "O75", "position": [13, 3], "step": 195, "ordinal_position": 196}, {"identifier": "T14", "position": [13, 2], "step": 196, "ordinal_position": 197}, {"identifier": "R01", "position": [13, 1], "step": 197, "ordinal_position": 198}, {"identifier": "V91", "position": [14, 1], "step": 198, "ordinal_position": 199}, {"identifier": "V96", "position": [15, 1], "step": 199, "ordinal_position": 200}, {"identifier": "U51", "position": [16, 1], "step": 200, "ordinal_position": 201}, {"identifier": "Y89", "position": [17, 1], "step": 201, "ordinal_position": 202}, {"identifier": "S71", "position": [18, 1], "step": 202, "ordinal_position": 203}, {"identifier": "M12", "position": [19, 1], "step": 203, "ordinal_position": 204}, {"identifier": "Z03", "position": [19, 2], "step": 204, "ordinal_position": 205}, {"identifier": "D70", "position": [19, 3], "step": 205, "ordinal_position": 206}, {"identifier": "K97", "position": [19, 4], "step": 206, "ordinal_position": 207}, {"identifier": "A34", "position": [19, 5], "step": 207, "ordinal_position": 208}, {"identifier": "Z97", "position": [18, 5], "step": 208, "ordinal_position": 209}, {"identifier": "U52", "position": [17, 5], "step": 209, "ordinal_position": 210}, {"identifier": "H00", "position": [17, 6], "step": 210, "ordinal_position": 211}, {"identifier": "W75", "position": [17, 7], "step": 211, "ordinal_position": 212}, {"identifier": "V60", "position": [18, 7], "step": 212, "ordinal_position": 213}, {"identifier": "B88", "position": [19, 7], "step": 213, "ordinal_position": 214}, {"identifier": "F62", "position": [19, 8], "step": 214, "ordinal_position": 215}, {"identifier": "O57", "position": [19, 9], "step": 215, "ordinal_position": 216}, {"identifier": "B55", "position": [18, 9], "step": 216, "ordinal_position": 217}, {"identifier": "S01", "position": [17, 9], "step": 217, "ordinal_position": 218}, {"identifier": "I40", "position": [17, 10], "step": 218, "ordinal_position": 219}, {"identifier": "I68", "position": [17, 11], "step": 219, "ordinal_position": 220}, {"identifier": "J31", "position": [18, 11], "step": 220, "ordinal_position": 221}, {"identifier": "M77", "position": [19, 11], "step": 221, "ordinal_position": 222}, {"identifier": "K06", "position": [19, 12], "step": 222, "ordinal_position": 223}, {"identifier": "C31", "position": [19, 13], "step": 223, "ordinal_position": 224}, {"identifier": "W03", "position": [18, 13], "step": 224, "ordinal_position": 225}, {"identifier": "U25", "position": [17, 13], "step": 225, "ordinal_position": 226}, {"identifier": "P50", "position": [16, 13], "step": 226, "ordinal_position": 227}, {"identifier": "A25", "position": [15, 13], "step": 227, "ordinal_position": 228}, {"identifier": "Q62", "position": [15, 14], "step": 228, "ordinal_position": 229}, {"identifier": "M14", "position": [15, 15], "step": 229, "ordinal_position": 230}, {"identifier": "R34", "position": [15, 16], "step": 230, "ordinal_position": 231}, {"identifier": "V16", "position": [15, 17], "step": 231, "ordinal_position": 232}, {"identifier": "E01", "position": [15, 18], "step": 232, "ordinal_position": 233}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 233, "direction": "right", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_012.json"}} {"qa_id": "bed185b28bfe4392b2a8997b789c0506", "image_id": "L3-MazeLoop-test_21x21_012", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H00, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 284th position in this traversal?", "start_object_id": "H00", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [284], "ordinal_strings": ["284th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "N97", "traversal_path": [{"identifier": "H00", "position": [17, 6], "step": 0, "ordinal_position": 1}, {"identifier": "W75", "position": [17, 7], "step": 1, "ordinal_position": 2}, {"identifier": "V60", "position": [18, 7], "step": 2, "ordinal_position": 3}, {"identifier": "B88", "position": [19, 7], "step": 3, "ordinal_position": 4}, {"identifier": "F62", "position": [19, 8], "step": 4, "ordinal_position": 5}, {"identifier": "O57", "position": [19, 9], "step": 5, "ordinal_position": 6}, {"identifier": "B55", "position": [18, 9], "step": 6, "ordinal_position": 7}, {"identifier": "S01", "position": [17, 9], "step": 7, "ordinal_position": 8}, {"identifier": "I40", "position": [17, 10], "step": 8, "ordinal_position": 9}, {"identifier": "I68", "position": [17, 11], "step": 9, "ordinal_position": 10}, {"identifier": "J31", "position": [18, 11], "step": 10, "ordinal_position": 11}, {"identifier": "M77", "position": [19, 11], "step": 11, "ordinal_position": 12}, {"identifier": "K06", "position": [19, 12], "step": 12, "ordinal_position": 13}, {"identifier": "C31", "position": [19, 13], "step": 13, "ordinal_position": 14}, {"identifier": "W03", "position": [18, 13], "step": 14, "ordinal_position": 15}, {"identifier": "U25", "position": [17, 13], "step": 15, "ordinal_position": 16}, {"identifier": "P50", "position": [16, 13], "step": 16, "ordinal_position": 17}, {"identifier": "A25", "position": [15, 13], "step": 17, "ordinal_position": 18}, {"identifier": "Q62", "position": [15, 14], "step": 18, "ordinal_position": 19}, {"identifier": "M14", "position": [15, 15], "step": 19, "ordinal_position": 20}, {"identifier": "R34", "position": [15, 16], "step": 20, "ordinal_position": 21}, {"identifier": "V16", "position": [15, 17], "step": 21, "ordinal_position": 22}, {"identifier": "E01", "position": [15, 18], "step": 22, "ordinal_position": 23}, {"identifier": "Z90", "position": [15, 19], "step": 23, "ordinal_position": 24}, {"identifier": "C16", "position": [14, 19], "step": 24, "ordinal_position": 25}, {"identifier": "P93", "position": [13, 19], "step": 25, "ordinal_position": 26}, {"identifier": "G97", "position": [12, 19], "step": 26, "ordinal_position": 27}, {"identifier": "K43", "position": [11, 19], "step": 27, "ordinal_position": 28}, {"identifier": "Z51", "position": [10, 19], "step": 28, "ordinal_position": 29}, {"identifier": "O69", "position": [9, 19], "step": 29, "ordinal_position": 30}, {"identifier": "Y52", "position": [8, 19], "step": 30, "ordinal_position": 31}, {"identifier": "F15", "position": [7, 19], "step": 31, "ordinal_position": 32}, {"identifier": "P55", "position": [6, 19], "step": 32, "ordinal_position": 33}, {"identifier": "S84", "position": [5, 19], "step": 33, "ordinal_position": 34}, {"identifier": "N91", "position": [4, 19], "step": 34, "ordinal_position": 35}, {"identifier": "H34", "position": [3, 19], "step": 35, "ordinal_position": 36}, {"identifier": "W29", "position": [2, 19], "step": 36, "ordinal_position": 37}, {"identifier": "S36", "position": [1, 19], "step": 37, "ordinal_position": 38}, {"identifier": "M58", "position": [1, 18], "step": 38, "ordinal_position": 39}, {"identifier": "S87", "position": [1, 17], "step": 39, "ordinal_position": 40}, {"identifier": "R57", "position": [1, 16], "step": 40, "ordinal_position": 41}, {"identifier": "G07", "position": [1, 15], "step": 41, "ordinal_position": 42}, {"identifier": "R36", "position": [1, 14], "step": 42, "ordinal_position": 43}, {"identifier": "V41", "position": [1, 13], "step": 43, "ordinal_position": 44}, {"identifier": "M94", "position": [1, 12], "step": 44, "ordinal_position": 45}, {"identifier": "T98", "position": [1, 11], "step": 45, "ordinal_position": 46}, {"identifier": "A88", "position": [1, 10], "step": 46, "ordinal_position": 47}, {"identifier": "C94", "position": [1, 9], "step": 47, "ordinal_position": 48}, {"identifier": "Y84", "position": [1, 8], "step": 48, "ordinal_position": 49}, {"identifier": "H20", "position": [1, 7], "step": 49, "ordinal_position": 50}, {"identifier": "A69", "position": [1, 6], "step": 50, "ordinal_position": 51}, {"identifier": "X36", "position": [1, 5], "step": 51, "ordinal_position": 52}, {"identifier": "S17", "position": [1, 4], "step": 52, "ordinal_position": 53}, {"identifier": "Q89", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "T88", "position": [1, 2], "step": 54, "ordinal_position": 55}, {"identifier": "D45", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "C01", "position": [2, 1], "step": 56, "ordinal_position": 57}, {"identifier": "Y04", "position": [3, 1], "step": 57, "ordinal_position": 58}, {"identifier": "U17", "position": [4, 1], "step": 58, "ordinal_position": 59}, {"identifier": "B15", "position": [5, 1], "step": 59, "ordinal_position": 60}, {"identifier": "Z30", "position": [6, 1], "step": 60, "ordinal_position": 61}, {"identifier": "K31", "position": [7, 1], "step": 61, "ordinal_position": 62}, {"identifier": "I06", "position": [8, 1], "step": 62, "ordinal_position": 63}, {"identifier": "Q66", "position": [9, 1], "step": 63, "ordinal_position": 64}, {"identifier": "Y87", "position": [10, 1], "step": 64, "ordinal_position": 65}, {"identifier": "C32", "position": [11, 1], "step": 65, "ordinal_position": 66}, {"identifier": "L40", "position": [11, 2], "step": 66, "ordinal_position": 67}, {"identifier": "A31", "position": [11, 3], "step": 67, "ordinal_position": 68}, {"identifier": "K23", "position": [10, 3], "step": 68, "ordinal_position": 69}, {"identifier": "U47", "position": [9, 3], "step": 69, "ordinal_position": 70}, {"identifier": "O93", "position": [9, 4], "step": 70, "ordinal_position": 71}, {"identifier": "W47", "position": [9, 5], "step": 71, "ordinal_position": 72}, {"identifier": "X78", "position": [9, 6], "step": 72, "ordinal_position": 73}, {"identifier": "J18", "position": [9, 7], "step": 73, "ordinal_position": 74}, {"identifier": "J76", "position": [10, 7], "step": 74, "ordinal_position": 75}, {"identifier": "N97", "position": [11, 7], "step": 75, "ordinal_position": 76}, {"identifier": "L69", "position": [11, 6], "step": 76, "ordinal_position": 77}, {"identifier": "B21", "position": [11, 5], "step": 77, "ordinal_position": 78}, {"identifier": "P35", "position": [12, 5], "step": 78, "ordinal_position": 79}, {"identifier": "K78", "position": [13, 5], "step": 79, "ordinal_position": 80}, {"identifier": "I65", "position": [13, 6], "step": 80, "ordinal_position": 81}, {"identifier": "L08", "position": [13, 7], "step": 81, "ordinal_position": 82}, {"identifier": "Y92", "position": [14, 7], "step": 82, "ordinal_position": 83}, {"identifier": "F80", "position": [15, 7], "step": 83, "ordinal_position": 84}, {"identifier": "F50", "position": [15, 6], "step": 84, "ordinal_position": 85}, {"identifier": "H48", "position": [15, 5], "step": 85, "ordinal_position": 86}, {"identifier": "O94", "position": [15, 4], "step": 86, "ordinal_position": 87}, {"identifier": "L58", "position": [15, 3], "step": 87, "ordinal_position": 88}, {"identifier": "F18", "position": [14, 3], "step": 88, "ordinal_position": 89}, {"identifier": "O75", "position": [13, 3], "step": 89, "ordinal_position": 90}, {"identifier": "T14", "position": [13, 2], "step": 90, "ordinal_position": 91}, {"identifier": "R01", "position": [13, 1], "step": 91, "ordinal_position": 92}, {"identifier": "V91", "position": [14, 1], "step": 92, "ordinal_position": 93}, {"identifier": "V96", "position": [15, 1], "step": 93, "ordinal_position": 94}, {"identifier": "U51", "position": [16, 1], "step": 94, "ordinal_position": 95}, {"identifier": "Y89", "position": [17, 1], "step": 95, "ordinal_position": 96}, {"identifier": "S71", "position": [18, 1], "step": 96, "ordinal_position": 97}, {"identifier": "M12", "position": [19, 1], "step": 97, "ordinal_position": 98}, {"identifier": "Z03", "position": [19, 2], "step": 98, "ordinal_position": 99}, {"identifier": "D70", "position": [19, 3], "step": 99, "ordinal_position": 100}, {"identifier": "K97", "position": [19, 4], "step": 100, "ordinal_position": 101}, {"identifier": "A34", "position": [19, 5], "step": 101, "ordinal_position": 102}, {"identifier": "Z97", "position": [18, 5], "step": 102, "ordinal_position": 103}, {"identifier": "U52", "position": [17, 5], "step": 103, "ordinal_position": 104}, {"identifier": "H00", "position": [17, 6], "step": 104, "ordinal_position": 105}, {"identifier": "W75", "position": [17, 7], "step": 105, "ordinal_position": 106}, {"identifier": "V60", "position": [18, 7], "step": 106, "ordinal_position": 107}, {"identifier": "B88", "position": [19, 7], "step": 107, "ordinal_position": 108}, {"identifier": "F62", "position": [19, 8], "step": 108, "ordinal_position": 109}, {"identifier": "O57", "position": [19, 9], "step": 109, "ordinal_position": 110}, {"identifier": "B55", "position": [18, 9], "step": 110, "ordinal_position": 111}, {"identifier": "S01", "position": [17, 9], "step": 111, "ordinal_position": 112}, {"identifier": "I40", "position": [17, 10], "step": 112, "ordinal_position": 113}, {"identifier": "I68", "position": [17, 11], "step": 113, "ordinal_position": 114}, {"identifier": "J31", "position": [18, 11], "step": 114, "ordinal_position": 115}, {"identifier": "M77", "position": [19, 11], "step": 115, "ordinal_position": 116}, {"identifier": "K06", "position": [19, 12], "step": 116, "ordinal_position": 117}, {"identifier": "C31", "position": [19, 13], "step": 117, "ordinal_position": 118}, {"identifier": "W03", "position": [18, 13], "step": 118, "ordinal_position": 119}, {"identifier": "U25", "position": [17, 13], "step": 119, "ordinal_position": 120}, {"identifier": "P50", "position": [16, 13], "step": 120, "ordinal_position": 121}, {"identifier": "A25", "position": [15, 13], "step": 121, "ordinal_position": 122}, {"identifier": "Q62", "position": [15, 14], "step": 122, "ordinal_position": 123}, {"identifier": "M14", "position": [15, 15], "step": 123, "ordinal_position": 124}, {"identifier": "R34", "position": [15, 16], "step": 124, "ordinal_position": 125}, {"identifier": "V16", "position": [15, 17], "step": 125, "ordinal_position": 126}, {"identifier": "E01", "position": [15, 18], "step": 126, "ordinal_position": 127}, {"identifier": "Z90", "position": [15, 19], "step": 127, "ordinal_position": 128}, {"identifier": "C16", "position": [14, 19], "step": 128, "ordinal_position": 129}, {"identifier": "P93", "position": [13, 19], "step": 129, "ordinal_position": 130}, {"identifier": "G97", "position": [12, 19], "step": 130, "ordinal_position": 131}, {"identifier": "K43", "position": [11, 19], "step": 131, "ordinal_position": 132}, {"identifier": "Z51", "position": [10, 19], "step": 132, "ordinal_position": 133}, {"identifier": "O69", "position": [9, 19], "step": 133, "ordinal_position": 134}, {"identifier": "Y52", "position": [8, 19], "step": 134, "ordinal_position": 135}, {"identifier": "F15", "position": [7, 19], "step": 135, "ordinal_position": 136}, {"identifier": "P55", "position": [6, 19], "step": 136, "ordinal_position": 137}, {"identifier": "S84", "position": [5, 19], "step": 137, "ordinal_position": 138}, {"identifier": "N91", "position": [4, 19], "step": 138, "ordinal_position": 139}, {"identifier": "H34", "position": [3, 19], "step": 139, "ordinal_position": 140}, {"identifier": "W29", "position": [2, 19], "step": 140, "ordinal_position": 141}, {"identifier": "S36", "position": [1, 19], "step": 141, "ordinal_position": 142}, {"identifier": "M58", "position": [1, 18], "step": 142, "ordinal_position": 143}, {"identifier": "S87", "position": [1, 17], "step": 143, "ordinal_position": 144}, {"identifier": "R57", "position": [1, 16], "step": 144, "ordinal_position": 145}, {"identifier": "G07", "position": [1, 15], "step": 145, "ordinal_position": 146}, {"identifier": "R36", "position": [1, 14], "step": 146, "ordinal_position": 147}, {"identifier": "V41", "position": [1, 13], "step": 147, "ordinal_position": 148}, {"identifier": "M94", "position": [1, 12], "step": 148, "ordinal_position": 149}, {"identifier": "T98", "position": [1, 11], "step": 149, "ordinal_position": 150}, {"identifier": "A88", "position": [1, 10], "step": 150, "ordinal_position": 151}, {"identifier": "C94", "position": [1, 9], "step": 151, "ordinal_position": 152}, {"identifier": "Y84", "position": [1, 8], "step": 152, "ordinal_position": 153}, {"identifier": "H20", "position": [1, 7], "step": 153, "ordinal_position": 154}, {"identifier": "A69", "position": [1, 6], "step": 154, "ordinal_position": 155}, {"identifier": "X36", "position": [1, 5], "step": 155, "ordinal_position": 156}, {"identifier": "S17", "position": [1, 4], "step": 156, "ordinal_position": 157}, {"identifier": "Q89", "position": [1, 3], "step": 157, "ordinal_position": 158}, {"identifier": "T88", "position": [1, 2], "step": 158, "ordinal_position": 159}, {"identifier": "D45", "position": [1, 1], "step": 159, "ordinal_position": 160}, {"identifier": "C01", "position": [2, 1], "step": 160, "ordinal_position": 161}, {"identifier": "Y04", "position": [3, 1], "step": 161, "ordinal_position": 162}, {"identifier": "U17", "position": [4, 1], "step": 162, "ordinal_position": 163}, {"identifier": "B15", "position": [5, 1], "step": 163, "ordinal_position": 164}, {"identifier": "Z30", "position": [6, 1], "step": 164, "ordinal_position": 165}, {"identifier": "K31", "position": [7, 1], "step": 165, "ordinal_position": 166}, {"identifier": "I06", "position": [8, 1], "step": 166, "ordinal_position": 167}, {"identifier": "Q66", "position": [9, 1], "step": 167, "ordinal_position": 168}, {"identifier": "Y87", "position": [10, 1], "step": 168, "ordinal_position": 169}, {"identifier": "C32", "position": [11, 1], "step": 169, "ordinal_position": 170}, {"identifier": "L40", "position": [11, 2], "step": 170, "ordinal_position": 171}, {"identifier": "A31", "position": [11, 3], "step": 171, "ordinal_position": 172}, {"identifier": "K23", "position": [10, 3], "step": 172, "ordinal_position": 173}, {"identifier": "U47", "position": [9, 3], "step": 173, "ordinal_position": 174}, {"identifier": "O93", "position": [9, 4], "step": 174, "ordinal_position": 175}, {"identifier": "W47", "position": [9, 5], "step": 175, "ordinal_position": 176}, {"identifier": "X78", "position": [9, 6], "step": 176, "ordinal_position": 177}, {"identifier": "J18", "position": [9, 7], "step": 177, "ordinal_position": 178}, {"identifier": "J76", "position": [10, 7], "step": 178, "ordinal_position": 179}, {"identifier": "N97", "position": [11, 7], "step": 179, "ordinal_position": 180}, {"identifier": "L69", "position": [11, 6], "step": 180, "ordinal_position": 181}, {"identifier": "B21", "position": [11, 5], "step": 181, "ordinal_position": 182}, {"identifier": "P35", "position": [12, 5], "step": 182, "ordinal_position": 183}, {"identifier": "K78", "position": [13, 5], "step": 183, "ordinal_position": 184}, {"identifier": "I65", "position": [13, 6], "step": 184, "ordinal_position": 185}, {"identifier": "L08", "position": [13, 7], "step": 185, "ordinal_position": 186}, {"identifier": "Y92", "position": [14, 7], "step": 186, "ordinal_position": 187}, {"identifier": "F80", "position": [15, 7], "step": 187, "ordinal_position": 188}, {"identifier": "F50", "position": [15, 6], "step": 188, "ordinal_position": 189}, {"identifier": "H48", "position": [15, 5], "step": 189, "ordinal_position": 190}, {"identifier": "O94", "position": [15, 4], "step": 190, "ordinal_position": 191}, {"identifier": "L58", "position": [15, 3], "step": 191, "ordinal_position": 192}, {"identifier": "F18", "position": [14, 3], "step": 192, "ordinal_position": 193}, {"identifier": "O75", "position": [13, 3], "step": 193, "ordinal_position": 194}, {"identifier": "T14", "position": [13, 2], "step": 194, "ordinal_position": 195}, {"identifier": "R01", "position": [13, 1], "step": 195, "ordinal_position": 196}, {"identifier": "V91", "position": [14, 1], "step": 196, "ordinal_position": 197}, {"identifier": "V96", "position": [15, 1], "step": 197, "ordinal_position": 198}, {"identifier": "U51", "position": [16, 1], "step": 198, "ordinal_position": 199}, {"identifier": "Y89", "position": [17, 1], "step": 199, "ordinal_position": 200}, {"identifier": "S71", "position": [18, 1], "step": 200, "ordinal_position": 201}, {"identifier": "M12", "position": [19, 1], "step": 201, "ordinal_position": 202}, {"identifier": "Z03", "position": [19, 2], "step": 202, "ordinal_position": 203}, {"identifier": "D70", "position": [19, 3], "step": 203, "ordinal_position": 204}, {"identifier": "K97", "position": [19, 4], "step": 204, "ordinal_position": 205}, {"identifier": "A34", "position": [19, 5], "step": 205, "ordinal_position": 206}, {"identifier": "Z97", "position": [18, 5], "step": 206, "ordinal_position": 207}, {"identifier": "U52", "position": [17, 5], "step": 207, "ordinal_position": 208}, {"identifier": "H00", "position": [17, 6], "step": 208, "ordinal_position": 209}, {"identifier": "W75", "position": [17, 7], "step": 209, "ordinal_position": 210}, {"identifier": "V60", "position": [18, 7], "step": 210, "ordinal_position": 211}, {"identifier": "B88", "position": [19, 7], "step": 211, "ordinal_position": 212}, {"identifier": "F62", "position": [19, 8], "step": 212, "ordinal_position": 213}, {"identifier": "O57", "position": [19, 9], "step": 213, "ordinal_position": 214}, {"identifier": "B55", "position": [18, 9], "step": 214, "ordinal_position": 215}, {"identifier": "S01", "position": [17, 9], "step": 215, "ordinal_position": 216}, {"identifier": "I40", "position": [17, 10], "step": 216, "ordinal_position": 217}, {"identifier": "I68", "position": [17, 11], "step": 217, "ordinal_position": 218}, {"identifier": "J31", "position": [18, 11], "step": 218, "ordinal_position": 219}, {"identifier": "M77", "position": [19, 11], "step": 219, "ordinal_position": 220}, {"identifier": "K06", "position": [19, 12], "step": 220, "ordinal_position": 221}, {"identifier": "C31", "position": [19, 13], "step": 221, "ordinal_position": 222}, {"identifier": "W03", "position": [18, 13], "step": 222, "ordinal_position": 223}, {"identifier": "U25", "position": [17, 13], "step": 223, "ordinal_position": 224}, {"identifier": "P50", "position": [16, 13], "step": 224, "ordinal_position": 225}, {"identifier": "A25", "position": [15, 13], "step": 225, "ordinal_position": 226}, {"identifier": "Q62", "position": [15, 14], "step": 226, "ordinal_position": 227}, {"identifier": "M14", "position": [15, 15], "step": 227, "ordinal_position": 228}, {"identifier": "R34", "position": [15, 16], "step": 228, "ordinal_position": 229}, {"identifier": "V16", "position": [15, 17], "step": 229, "ordinal_position": 230}, {"identifier": "E01", "position": [15, 18], "step": 230, "ordinal_position": 231}, {"identifier": "Z90", "position": [15, 19], "step": 231, "ordinal_position": 232}, {"identifier": "C16", "position": [14, 19], "step": 232, "ordinal_position": 233}, {"identifier": "P93", "position": [13, 19], "step": 233, "ordinal_position": 234}, {"identifier": "G97", "position": [12, 19], "step": 234, "ordinal_position": 235}, {"identifier": "K43", "position": [11, 19], "step": 235, "ordinal_position": 236}, {"identifier": "Z51", "position": [10, 19], "step": 236, "ordinal_position": 237}, {"identifier": "O69", "position": [9, 19], "step": 237, "ordinal_position": 238}, {"identifier": "Y52", "position": [8, 19], "step": 238, "ordinal_position": 239}, {"identifier": "F15", "position": [7, 19], "step": 239, "ordinal_position": 240}, {"identifier": "P55", "position": [6, 19], "step": 240, "ordinal_position": 241}, {"identifier": "S84", "position": [5, 19], "step": 241, "ordinal_position": 242}, {"identifier": "N91", "position": [4, 19], "step": 242, "ordinal_position": 243}, {"identifier": "H34", "position": [3, 19], "step": 243, "ordinal_position": 244}, {"identifier": "W29", "position": [2, 19], "step": 244, "ordinal_position": 245}, {"identifier": "S36", "position": [1, 19], "step": 245, "ordinal_position": 246}, {"identifier": "M58", "position": [1, 18], "step": 246, "ordinal_position": 247}, {"identifier": "S87", "position": [1, 17], "step": 247, "ordinal_position": 248}, {"identifier": "R57", "position": [1, 16], "step": 248, "ordinal_position": 249}, {"identifier": "G07", "position": [1, 15], "step": 249, "ordinal_position": 250}, {"identifier": "R36", "position": [1, 14], "step": 250, "ordinal_position": 251}, {"identifier": "V41", "position": [1, 13], "step": 251, "ordinal_position": 252}, {"identifier": "M94", "position": [1, 12], "step": 252, "ordinal_position": 253}, {"identifier": "T98", "position": [1, 11], "step": 253, "ordinal_position": 254}, {"identifier": "A88", "position": [1, 10], "step": 254, "ordinal_position": 255}, {"identifier": "C94", "position": [1, 9], "step": 255, "ordinal_position": 256}, {"identifier": "Y84", "position": [1, 8], "step": 256, "ordinal_position": 257}, {"identifier": "H20", "position": [1, 7], "step": 257, "ordinal_position": 258}, {"identifier": "A69", "position": [1, 6], "step": 258, "ordinal_position": 259}, {"identifier": "X36", "position": [1, 5], "step": 259, "ordinal_position": 260}, {"identifier": "S17", "position": [1, 4], "step": 260, "ordinal_position": 261}, {"identifier": "Q89", "position": [1, 3], "step": 261, "ordinal_position": 262}, {"identifier": "T88", "position": [1, 2], "step": 262, "ordinal_position": 263}, {"identifier": "D45", "position": [1, 1], "step": 263, "ordinal_position": 264}, {"identifier": "C01", "position": [2, 1], "step": 264, "ordinal_position": 265}, {"identifier": "Y04", "position": [3, 1], "step": 265, "ordinal_position": 266}, {"identifier": "U17", "position": [4, 1], "step": 266, "ordinal_position": 267}, {"identifier": "B15", "position": [5, 1], "step": 267, "ordinal_position": 268}, {"identifier": "Z30", "position": [6, 1], "step": 268, "ordinal_position": 269}, {"identifier": "K31", "position": [7, 1], "step": 269, "ordinal_position": 270}, {"identifier": "I06", "position": [8, 1], "step": 270, "ordinal_position": 271}, {"identifier": "Q66", "position": [9, 1], "step": 271, "ordinal_position": 272}, {"identifier": "Y87", "position": [10, 1], "step": 272, "ordinal_position": 273}, {"identifier": "C32", "position": [11, 1], "step": 273, "ordinal_position": 274}, {"identifier": "L40", "position": [11, 2], "step": 274, "ordinal_position": 275}, {"identifier": "A31", "position": [11, 3], "step": 275, "ordinal_position": 276}, {"identifier": "K23", "position": [10, 3], "step": 276, "ordinal_position": 277}, {"identifier": "U47", "position": [9, 3], "step": 277, "ordinal_position": 278}, {"identifier": "O93", "position": [9, 4], "step": 278, "ordinal_position": 279}, {"identifier": "W47", "position": [9, 5], "step": 279, "ordinal_position": 280}, {"identifier": "X78", "position": [9, 6], "step": 280, "ordinal_position": 281}, {"identifier": "J18", "position": [9, 7], "step": 281, "ordinal_position": 282}, {"identifier": "J76", "position": [10, 7], "step": 282, "ordinal_position": 283}, {"identifier": "N97", "position": [11, 7], "step": 283, "ordinal_position": 284}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 284, "direction": "down", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_012.json"}} {"qa_id": "3664de9b4b2b48ce8c0d5c3f45d3c888", "image_id": "L3-MazeLoop-test_21x21_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P37, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 19th position in this traversal?", "start_object_id": "P37", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [19], "ordinal_strings": ["19th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "J77", "traversal_path": [{"identifier": "P37", "position": [13, 7], "step": 0, "ordinal_position": 1}, {"identifier": "S92", "position": [14, 7], "step": 1, "ordinal_position": 2}, {"identifier": "M61", "position": [15, 7], "step": 2, "ordinal_position": 3}, {"identifier": "K81", "position": [15, 8], "step": 3, "ordinal_position": 4}, {"identifier": "N21", "position": [15, 9], "step": 4, "ordinal_position": 5}, {"identifier": "B40", "position": [15, 10], "step": 5, "ordinal_position": 6}, {"identifier": "V46", "position": [15, 11], "step": 6, "ordinal_position": 7}, {"identifier": "S88", "position": [14, 11], "step": 7, "ordinal_position": 8}, {"identifier": "D30", "position": [13, 11], "step": 8, "ordinal_position": 9}, {"identifier": "V62", "position": [13, 10], "step": 9, "ordinal_position": 10}, {"identifier": "G35", "position": [13, 9], "step": 10, "ordinal_position": 11}, {"identifier": "B24", "position": [13, 8], "step": 11, "ordinal_position": 12}, {"identifier": "P37", "position": [13, 7], "step": 12, "ordinal_position": 13}, {"identifier": "U50", "position": [13, 6], "step": 13, "ordinal_position": 14}, {"identifier": "I75", "position": [13, 5], "step": 14, "ordinal_position": 15}, {"identifier": "D87", "position": [13, 4], "step": 15, "ordinal_position": 16}, {"identifier": "X42", "position": [13, 3], "step": 16, "ordinal_position": 17}, {"identifier": "Y98", "position": [12, 3], "step": 17, "ordinal_position": 18}, {"identifier": "J77", "position": [11, 3], "step": 18, "ordinal_position": 19}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 19, "direction": "right", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_013.json"}} {"qa_id": "06dc4fcead234e4395bfca0a92f9d259", "image_id": "L3-MazeLoop-test_21x21_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B10, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "B10", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "I77", "traversal_path": [{"identifier": "B10", "position": [5, 6], "step": 0, "ordinal_position": 1}, {"identifier": "I77", "position": [5, 5], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 2, "direction": "up", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_013.json"}} {"qa_id": "58a05a90b9ff4bd3ab36a918d3da9723", "image_id": "L3-MazeLoop-test_21x21_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y90, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 10th position in this traversal?", "start_object_id": "Y90", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [10], "ordinal_strings": ["10th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "F87", "traversal_path": [{"identifier": "Y90", "position": [19, 4], "step": 0, "ordinal_position": 1}, {"identifier": "N85", "position": [19, 5], "step": 1, "ordinal_position": 2}, {"identifier": "Q24", "position": [18, 5], "step": 2, "ordinal_position": 3}, {"identifier": "S20", "position": [17, 5], "step": 3, "ordinal_position": 4}, {"identifier": "X75", "position": [17, 6], "step": 4, "ordinal_position": 5}, {"identifier": "V79", "position": [17, 7], "step": 5, "ordinal_position": 6}, {"identifier": "S04", "position": [18, 7], "step": 6, "ordinal_position": 7}, {"identifier": "S43", "position": [19, 7], "step": 7, "ordinal_position": 8}, {"identifier": "C08", "position": [19, 8], "step": 8, "ordinal_position": 9}, {"identifier": "F87", "position": [19, 9], "step": 9, "ordinal_position": 10}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 10, "direction": "down", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_013.json"}} {"qa_id": "92d16cb54c764de189fddfa793188dee", "image_id": "L3-MazeLoop-test_21x21_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y90, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 13th position in this traversal?", "start_object_id": "Y90", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [13], "ordinal_strings": ["13th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "K60", "traversal_path": [{"identifier": "Y90", "position": [19, 4], "step": 0, "ordinal_position": 1}, {"identifier": "N85", "position": [19, 5], "step": 1, "ordinal_position": 2}, {"identifier": "Q24", "position": [18, 5], "step": 2, "ordinal_position": 3}, {"identifier": "S20", "position": [17, 5], "step": 3, "ordinal_position": 4}, {"identifier": "X75", "position": [17, 6], "step": 4, "ordinal_position": 5}, {"identifier": "V79", "position": [17, 7], "step": 5, "ordinal_position": 6}, {"identifier": "S04", "position": [18, 7], "step": 6, "ordinal_position": 7}, {"identifier": "S43", "position": [19, 7], "step": 7, "ordinal_position": 8}, {"identifier": "C08", "position": [19, 8], "step": 8, "ordinal_position": 9}, {"identifier": "F87", "position": [19, 9], "step": 9, "ordinal_position": 10}, {"identifier": "E11", "position": [19, 10], "step": 10, "ordinal_position": 11}, {"identifier": "O13", "position": [19, 11], "step": 11, "ordinal_position": 12}, {"identifier": "K60", "position": [19, 12], "step": 12, "ordinal_position": 13}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 13, "direction": "down", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_013.json"}} {"qa_id": "6cb000975fc44ac9b96e1e7ff3d77ea7", "image_id": "L3-MazeLoop-test_21x21_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O78, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "O78", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M32", "traversal_path": [{"identifier": "O78", "position": [9, 6], "step": 0, "ordinal_position": 1}, {"identifier": "S97", "position": [9, 5], "step": 1, "ordinal_position": 2}, {"identifier": "E58", "position": [9, 4], "step": 2, "ordinal_position": 3}, {"identifier": "R78", "position": [9, 3], "step": 3, "ordinal_position": 4}, {"identifier": "Z69", "position": [8, 3], "step": 4, "ordinal_position": 5}, {"identifier": "M32", "position": [7, 3], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 6, "direction": "up", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_013.json"}} {"qa_id": "0e99e9c913fb48449e35cfebd3f249ae", "image_id": "L3-MazeLoop-test_21x21_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P61, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 67th position in this traversal?", "start_object_id": "P61", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [67], "ordinal_strings": ["67th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "I77", "traversal_path": [{"identifier": "P61", "position": [11, 5], "step": 0, "ordinal_position": 1}, {"identifier": "Z41", "position": [10, 5], "step": 1, "ordinal_position": 2}, {"identifier": "S97", "position": [9, 5], "step": 2, "ordinal_position": 3}, {"identifier": "O78", "position": [9, 6], "step": 3, "ordinal_position": 4}, {"identifier": "M63", "position": [9, 7], "step": 4, "ordinal_position": 5}, {"identifier": "N59", "position": [9, 8], "step": 5, "ordinal_position": 6}, {"identifier": "C19", "position": [9, 9], "step": 6, "ordinal_position": 7}, {"identifier": "V98", "position": [8, 9], "step": 7, "ordinal_position": 8}, {"identifier": "A52", "position": [7, 9], "step": 8, "ordinal_position": 9}, {"identifier": "X97", "position": [7, 10], "step": 9, "ordinal_position": 10}, {"identifier": "X40", "position": [7, 11], "step": 10, "ordinal_position": 11}, {"identifier": "V77", "position": [7, 12], "step": 11, "ordinal_position": 12}, {"identifier": "W40", "position": [7, 13], "step": 12, "ordinal_position": 13}, {"identifier": "F13", "position": [6, 13], "step": 13, "ordinal_position": 14}, {"identifier": "K54", "position": [5, 13], "step": 14, "ordinal_position": 15}, {"identifier": "B78", "position": [5, 14], "step": 15, "ordinal_position": 16}, {"identifier": "J24", "position": [5, 15], "step": 16, "ordinal_position": 17}, {"identifier": "C15", "position": [6, 15], "step": 17, "ordinal_position": 18}, {"identifier": "W39", "position": [7, 15], "step": 18, "ordinal_position": 19}, {"identifier": "U64", "position": [8, 15], "step": 19, "ordinal_position": 20}, {"identifier": "B92", "position": [9, 15], "step": 20, "ordinal_position": 21}, {"identifier": "P54", "position": [9, 16], "step": 21, "ordinal_position": 22}, {"identifier": "R81", "position": [9, 17], "step": 22, "ordinal_position": 23}, {"identifier": "U89", "position": [9, 18], "step": 23, "ordinal_position": 24}, {"identifier": "E21", "position": [9, 19], "step": 24, "ordinal_position": 25}, {"identifier": "F14", "position": [8, 19], "step": 25, "ordinal_position": 26}, {"identifier": "T50", "position": [7, 19], "step": 26, "ordinal_position": 27}, {"identifier": "Q95", "position": [7, 18], "step": 27, "ordinal_position": 28}, {"identifier": "N40", "position": [7, 17], "step": 28, "ordinal_position": 29}, {"identifier": "O37", "position": [6, 17], "step": 29, "ordinal_position": 30}, {"identifier": "C01", "position": [5, 17], "step": 30, "ordinal_position": 31}, {"identifier": "R52", "position": [5, 18], "step": 31, "ordinal_position": 32}, {"identifier": "P35", "position": [5, 19], "step": 32, "ordinal_position": 33}, {"identifier": "A90", "position": [4, 19], "step": 33, "ordinal_position": 34}, {"identifier": "X39", "position": [3, 19], "step": 34, "ordinal_position": 35}, {"identifier": "H94", "position": [2, 19], "step": 35, "ordinal_position": 36}, {"identifier": "L11", "position": [1, 19], "step": 36, "ordinal_position": 37}, {"identifier": "G13", "position": [1, 18], "step": 37, "ordinal_position": 38}, {"identifier": "L48", "position": [1, 17], "step": 38, "ordinal_position": 39}, {"identifier": "P26", "position": [2, 17], "step": 39, "ordinal_position": 40}, {"identifier": "A15", "position": [3, 17], "step": 40, "ordinal_position": 41}, {"identifier": "B19", "position": [3, 16], "step": 41, "ordinal_position": 42}, {"identifier": "J02", "position": [3, 15], "step": 42, "ordinal_position": 43}, {"identifier": "M42", "position": [2, 15], "step": 43, "ordinal_position": 44}, {"identifier": "P87", "position": [1, 15], "step": 44, "ordinal_position": 45}, {"identifier": "Q61", "position": [1, 14], "step": 45, "ordinal_position": 46}, {"identifier": "D55", "position": [1, 13], "step": 46, "ordinal_position": 47}, {"identifier": "C12", "position": [2, 13], "step": 47, "ordinal_position": 48}, {"identifier": "H98", "position": [3, 13], "step": 48, "ordinal_position": 49}, {"identifier": "K96", "position": [3, 12], "step": 49, "ordinal_position": 50}, {"identifier": "M95", "position": [3, 11], "step": 50, "ordinal_position": 51}, {"identifier": "Y19", "position": [2, 11], "step": 51, "ordinal_position": 52}, {"identifier": "U95", "position": [1, 11], "step": 52, "ordinal_position": 53}, {"identifier": "K70", "position": [1, 10], "step": 53, "ordinal_position": 54}, {"identifier": "T74", "position": [1, 9], "step": 54, "ordinal_position": 55}, {"identifier": "R49", "position": [1, 8], "step": 55, "ordinal_position": 56}, {"identifier": "K53", "position": [1, 7], "step": 56, "ordinal_position": 57}, {"identifier": "X48", "position": [2, 7], "step": 57, "ordinal_position": 58}, {"identifier": "E38", "position": [3, 7], "step": 58, "ordinal_position": 59}, {"identifier": "H81", "position": [3, 8], "step": 59, "ordinal_position": 60}, {"identifier": "G41", "position": [3, 9], "step": 60, "ordinal_position": 61}, {"identifier": "O12", "position": [4, 9], "step": 61, "ordinal_position": 62}, {"identifier": "V55", "position": [5, 9], "step": 62, "ordinal_position": 63}, {"identifier": "N66", "position": [5, 8], "step": 63, "ordinal_position": 64}, {"identifier": "E27", "position": [5, 7], "step": 64, "ordinal_position": 65}, {"identifier": "B10", "position": [5, 6], "step": 65, "ordinal_position": 66}, {"identifier": "I77", "position": [5, 5], "step": 66, "ordinal_position": 67}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 67, "direction": "left", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_013.json"}} {"qa_id": "2c325509d7184e9d817eb6b983ee8a44", "image_id": "L3-MazeLoop-test_21x21_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M58, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 45th position in this traversal?", "start_object_id": "M58", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [45], "ordinal_strings": ["45th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "I77", "traversal_path": [{"identifier": "M58", "position": [17, 9], "step": 0, "ordinal_position": 1}, {"identifier": "Y12", "position": [17, 10], "step": 1, "ordinal_position": 2}, {"identifier": "G84", "position": [17, 11], "step": 2, "ordinal_position": 3}, {"identifier": "C13", "position": [17, 12], "step": 3, "ordinal_position": 4}, {"identifier": "G57", "position": [17, 13], "step": 4, "ordinal_position": 5}, {"identifier": "A63", "position": [16, 13], "step": 5, "ordinal_position": 6}, {"identifier": "A39", "position": [15, 13], "step": 6, "ordinal_position": 7}, {"identifier": "T11", "position": [14, 13], "step": 7, "ordinal_position": 8}, {"identifier": "R54", "position": [13, 13], "step": 8, "ordinal_position": 9}, {"identifier": "G40", "position": [13, 12], "step": 9, "ordinal_position": 10}, {"identifier": "D30", "position": [13, 11], "step": 10, "ordinal_position": 11}, {"identifier": "V62", "position": [13, 10], "step": 11, "ordinal_position": 12}, {"identifier": "G35", "position": [13, 9], "step": 12, "ordinal_position": 13}, {"identifier": "B24", "position": [13, 8], "step": 13, "ordinal_position": 14}, {"identifier": "P37", "position": [13, 7], "step": 14, "ordinal_position": 15}, {"identifier": "U50", "position": [13, 6], "step": 15, "ordinal_position": 16}, {"identifier": "I75", "position": [13, 5], "step": 16, "ordinal_position": 17}, {"identifier": "D87", "position": [13, 4], "step": 17, "ordinal_position": 18}, {"identifier": "X42", "position": [13, 3], "step": 18, "ordinal_position": 19}, {"identifier": "Y98", "position": [12, 3], "step": 19, "ordinal_position": 20}, {"identifier": "J77", "position": [11, 3], "step": 20, "ordinal_position": 21}, {"identifier": "V48", "position": [10, 3], "step": 21, "ordinal_position": 22}, {"identifier": "R78", "position": [9, 3], "step": 22, "ordinal_position": 23}, {"identifier": "Z69", "position": [8, 3], "step": 23, "ordinal_position": 24}, {"identifier": "M32", "position": [7, 3], "step": 24, "ordinal_position": 25}, {"identifier": "G82", "position": [7, 4], "step": 25, "ordinal_position": 26}, {"identifier": "T92", "position": [7, 5], "step": 26, "ordinal_position": 27}, {"identifier": "P90", "position": [7, 6], "step": 27, "ordinal_position": 28}, {"identifier": "M21", "position": [7, 7], "step": 28, "ordinal_position": 29}, {"identifier": "D67", "position": [7, 8], "step": 29, "ordinal_position": 30}, {"identifier": "A52", "position": [7, 9], "step": 30, "ordinal_position": 31}, {"identifier": "X97", "position": [7, 10], "step": 31, "ordinal_position": 32}, {"identifier": "X40", "position": [7, 11], "step": 32, "ordinal_position": 33}, {"identifier": "V77", "position": [7, 12], "step": 33, "ordinal_position": 34}, {"identifier": "W40", "position": [7, 13], "step": 34, "ordinal_position": 35}, {"identifier": "F13", "position": [6, 13], "step": 35, "ordinal_position": 36}, {"identifier": "K54", "position": [5, 13], "step": 36, "ordinal_position": 37}, {"identifier": "O43", "position": [5, 12], "step": 37, "ordinal_position": 38}, {"identifier": "J98", "position": [5, 11], "step": 38, "ordinal_position": 39}, {"identifier": "U51", "position": [5, 10], "step": 39, "ordinal_position": 40}, {"identifier": "V55", "position": [5, 9], "step": 40, "ordinal_position": 41}, {"identifier": "N66", "position": [5, 8], "step": 41, "ordinal_position": 42}, {"identifier": "E27", "position": [5, 7], "step": 42, "ordinal_position": 43}, {"identifier": "B10", "position": [5, 6], "step": 43, "ordinal_position": 44}, {"identifier": "I77", "position": [5, 5], "step": 44, "ordinal_position": 45}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 45, "direction": "down", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_013.json"}} {"qa_id": "4dc6ff7a6eb6497b8de20370270bb22b", "image_id": "L3-MazeLoop-test_21x21_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V86, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 85th position in this traversal?", "start_object_id": "V86", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [85], "ordinal_strings": ["85th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "X68", "traversal_path": [{"identifier": "V86", "position": [11, 15], "step": 0, "ordinal_position": 1}, {"identifier": "P97", "position": [11, 16], "step": 1, "ordinal_position": 2}, {"identifier": "J74", "position": [11, 17], "step": 2, "ordinal_position": 3}, {"identifier": "M10", "position": [11, 18], "step": 3, "ordinal_position": 4}, {"identifier": "Y43", "position": [11, 19], "step": 4, "ordinal_position": 5}, {"identifier": "L91", "position": [12, 19], "step": 5, "ordinal_position": 6}, {"identifier": "F46", "position": [13, 19], "step": 6, "ordinal_position": 7}, {"identifier": "R04", "position": [14, 19], "step": 7, "ordinal_position": 8}, {"identifier": "V02", "position": [15, 19], "step": 8, "ordinal_position": 9}, {"identifier": "F80", "position": [16, 19], "step": 9, "ordinal_position": 10}, {"identifier": "I42", "position": [17, 19], "step": 10, "ordinal_position": 11}, {"identifier": "G17", "position": [18, 19], "step": 11, "ordinal_position": 12}, {"identifier": "K12", "position": [19, 19], "step": 12, "ordinal_position": 13}, {"identifier": "A88", "position": [19, 18], "step": 13, "ordinal_position": 14}, {"identifier": "P09", "position": [19, 17], "step": 14, "ordinal_position": 15}, {"identifier": "V91", "position": [18, 17], "step": 15, "ordinal_position": 16}, {"identifier": "B67", "position": [17, 17], "step": 16, "ordinal_position": 17}, {"identifier": "Z48", "position": [16, 17], "step": 17, "ordinal_position": 18}, {"identifier": "S40", "position": [15, 17], "step": 18, "ordinal_position": 19}, {"identifier": "F61", "position": [14, 17], "step": 19, "ordinal_position": 20}, {"identifier": "X68", "position": [13, 17], "step": 20, "ordinal_position": 21}, {"identifier": "O59", "position": [13, 18], "step": 21, "ordinal_position": 22}, {"identifier": "F46", "position": [13, 19], "step": 22, "ordinal_position": 23}, {"identifier": "R04", "position": [14, 19], "step": 23, "ordinal_position": 24}, {"identifier": "V02", "position": [15, 19], "step": 24, "ordinal_position": 25}, {"identifier": "F80", "position": [16, 19], "step": 25, "ordinal_position": 26}, {"identifier": "I42", "position": [17, 19], "step": 26, "ordinal_position": 27}, {"identifier": "G17", "position": [18, 19], "step": 27, "ordinal_position": 28}, {"identifier": "K12", "position": [19, 19], "step": 28, "ordinal_position": 29}, {"identifier": "A88", "position": [19, 18], "step": 29, "ordinal_position": 30}, {"identifier": "P09", "position": [19, 17], "step": 30, "ordinal_position": 31}, {"identifier": "V91", "position": [18, 17], "step": 31, "ordinal_position": 32}, {"identifier": "B67", "position": [17, 17], "step": 32, "ordinal_position": 33}, {"identifier": "Z48", "position": [16, 17], "step": 33, "ordinal_position": 34}, {"identifier": "S40", "position": [15, 17], "step": 34, "ordinal_position": 35}, {"identifier": "F61", "position": [14, 17], "step": 35, "ordinal_position": 36}, {"identifier": "X68", "position": [13, 17], "step": 36, "ordinal_position": 37}, {"identifier": "O59", "position": [13, 18], "step": 37, "ordinal_position": 38}, {"identifier": "F46", "position": [13, 19], "step": 38, "ordinal_position": 39}, {"identifier": "R04", "position": [14, 19], "step": 39, "ordinal_position": 40}, {"identifier": "V02", "position": [15, 19], "step": 40, "ordinal_position": 41}, {"identifier": "F80", "position": [16, 19], "step": 41, "ordinal_position": 42}, {"identifier": "I42", "position": [17, 19], "step": 42, "ordinal_position": 43}, {"identifier": "G17", "position": [18, 19], "step": 43, "ordinal_position": 44}, {"identifier": "K12", "position": [19, 19], "step": 44, "ordinal_position": 45}, {"identifier": "A88", "position": [19, 18], "step": 45, "ordinal_position": 46}, {"identifier": "P09", "position": [19, 17], "step": 46, "ordinal_position": 47}, {"identifier": "V91", "position": [18, 17], "step": 47, "ordinal_position": 48}, {"identifier": "B67", "position": [17, 17], "step": 48, "ordinal_position": 49}, {"identifier": "Z48", "position": [16, 17], "step": 49, "ordinal_position": 50}, {"identifier": "S40", "position": [15, 17], "step": 50, "ordinal_position": 51}, {"identifier": "F61", "position": [14, 17], "step": 51, "ordinal_position": 52}, {"identifier": "X68", "position": [13, 17], "step": 52, "ordinal_position": 53}, {"identifier": "O59", "position": [13, 18], "step": 53, "ordinal_position": 54}, {"identifier": "F46", "position": [13, 19], "step": 54, "ordinal_position": 55}, {"identifier": "R04", "position": [14, 19], "step": 55, "ordinal_position": 56}, {"identifier": "V02", "position": [15, 19], "step": 56, "ordinal_position": 57}, {"identifier": "F80", "position": [16, 19], "step": 57, "ordinal_position": 58}, {"identifier": "I42", "position": [17, 19], "step": 58, "ordinal_position": 59}, {"identifier": "G17", "position": [18, 19], "step": 59, "ordinal_position": 60}, {"identifier": "K12", "position": [19, 19], "step": 60, "ordinal_position": 61}, {"identifier": "A88", "position": [19, 18], "step": 61, "ordinal_position": 62}, {"identifier": "P09", "position": [19, 17], "step": 62, "ordinal_position": 63}, {"identifier": "V91", "position": [18, 17], "step": 63, "ordinal_position": 64}, {"identifier": "B67", "position": [17, 17], "step": 64, "ordinal_position": 65}, {"identifier": "Z48", "position": [16, 17], "step": 65, "ordinal_position": 66}, {"identifier": "S40", "position": [15, 17], "step": 66, "ordinal_position": 67}, {"identifier": "F61", "position": [14, 17], "step": 67, "ordinal_position": 68}, {"identifier": "X68", "position": [13, 17], "step": 68, "ordinal_position": 69}, {"identifier": "O59", "position": [13, 18], "step": 69, "ordinal_position": 70}, {"identifier": "F46", "position": [13, 19], "step": 70, "ordinal_position": 71}, {"identifier": "R04", "position": [14, 19], "step": 71, "ordinal_position": 72}, {"identifier": "V02", "position": [15, 19], "step": 72, "ordinal_position": 73}, {"identifier": "F80", "position": [16, 19], "step": 73, "ordinal_position": 74}, {"identifier": "I42", "position": [17, 19], "step": 74, "ordinal_position": 75}, {"identifier": "G17", "position": [18, 19], "step": 75, "ordinal_position": 76}, {"identifier": "K12", "position": [19, 19], "step": 76, "ordinal_position": 77}, {"identifier": "A88", "position": [19, 18], "step": 77, "ordinal_position": 78}, {"identifier": "P09", "position": [19, 17], "step": 78, "ordinal_position": 79}, {"identifier": "V91", "position": [18, 17], "step": 79, "ordinal_position": 80}, {"identifier": "B67", "position": [17, 17], "step": 80, "ordinal_position": 81}, {"identifier": "Z48", "position": [16, 17], "step": 81, "ordinal_position": 82}, {"identifier": "S40", "position": [15, 17], "step": 82, "ordinal_position": 83}, {"identifier": "F61", "position": [14, 17], "step": 83, "ordinal_position": 84}, {"identifier": "X68", "position": [13, 17], "step": 84, "ordinal_position": 85}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 85, "direction": "down", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_013.json"}} {"qa_id": "27325815e82b4e3b8a744393f67c9291", "image_id": "L3-MazeLoop-test_21x21_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F61, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 92nd position in this traversal?", "start_object_id": "F61", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [92], "ordinal_strings": ["92nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "E38", "traversal_path": [{"identifier": "F61", "position": [14, 17], "step": 0, "ordinal_position": 1}, {"identifier": "S40", "position": [15, 17], "step": 1, "ordinal_position": 2}, {"identifier": "Z48", "position": [16, 17], "step": 2, "ordinal_position": 3}, {"identifier": "B67", "position": [17, 17], "step": 3, "ordinal_position": 4}, {"identifier": "V91", "position": [18, 17], "step": 4, "ordinal_position": 5}, {"identifier": "P09", "position": [19, 17], "step": 5, "ordinal_position": 6}, {"identifier": "A88", "position": [19, 18], "step": 6, "ordinal_position": 7}, {"identifier": "K12", "position": [19, 19], "step": 7, "ordinal_position": 8}, {"identifier": "G17", "position": [18, 19], "step": 8, "ordinal_position": 9}, {"identifier": "I42", "position": [17, 19], "step": 9, "ordinal_position": 10}, {"identifier": "F80", "position": [16, 19], "step": 10, "ordinal_position": 11}, {"identifier": "V02", "position": [15, 19], "step": 11, "ordinal_position": 12}, {"identifier": "R04", "position": [14, 19], "step": 12, "ordinal_position": 13}, {"identifier": "F46", "position": [13, 19], "step": 13, "ordinal_position": 14}, {"identifier": "L91", "position": [12, 19], "step": 14, "ordinal_position": 15}, {"identifier": "Y43", "position": [11, 19], "step": 15, "ordinal_position": 16}, {"identifier": "M10", "position": [11, 18], "step": 16, "ordinal_position": 17}, {"identifier": "J74", "position": [11, 17], "step": 17, "ordinal_position": 18}, {"identifier": "P97", "position": [11, 16], "step": 18, "ordinal_position": 19}, {"identifier": "V86", "position": [11, 15], "step": 19, "ordinal_position": 20}, {"identifier": "T61", "position": [11, 14], "step": 20, "ordinal_position": 21}, {"identifier": "O23", "position": [11, 13], "step": 21, "ordinal_position": 22}, {"identifier": "D84", "position": [10, 13], "step": 22, "ordinal_position": 23}, {"identifier": "X67", "position": [9, 13], "step": 23, "ordinal_position": 24}, {"identifier": "P22", "position": [9, 12], "step": 24, "ordinal_position": 25}, {"identifier": "D80", "position": [9, 11], "step": 25, "ordinal_position": 26}, {"identifier": "G10", "position": [10, 11], "step": 26, "ordinal_position": 27}, {"identifier": "G29", "position": [11, 11], "step": 27, "ordinal_position": 28}, {"identifier": "L85", "position": [11, 10], "step": 28, "ordinal_position": 29}, {"identifier": "W33", "position": [11, 9], "step": 29, "ordinal_position": 30}, {"identifier": "C22", "position": [11, 8], "step": 30, "ordinal_position": 31}, {"identifier": "E72", "position": [11, 7], "step": 31, "ordinal_position": 32}, {"identifier": "H32", "position": [11, 6], "step": 32, "ordinal_position": 33}, {"identifier": "P61", "position": [11, 5], "step": 33, "ordinal_position": 34}, {"identifier": "Z41", "position": [10, 5], "step": 34, "ordinal_position": 35}, {"identifier": "S97", "position": [9, 5], "step": 35, "ordinal_position": 36}, {"identifier": "O78", "position": [9, 6], "step": 36, "ordinal_position": 37}, {"identifier": "M63", "position": [9, 7], "step": 37, "ordinal_position": 38}, {"identifier": "N59", "position": [9, 8], "step": 38, "ordinal_position": 39}, {"identifier": "C19", "position": [9, 9], "step": 39, "ordinal_position": 40}, {"identifier": "V98", "position": [8, 9], "step": 40, "ordinal_position": 41}, {"identifier": "A52", "position": [7, 9], "step": 41, "ordinal_position": 42}, {"identifier": "X97", "position": [7, 10], "step": 42, "ordinal_position": 43}, {"identifier": "X40", "position": [7, 11], "step": 43, "ordinal_position": 44}, {"identifier": "V77", "position": [7, 12], "step": 44, "ordinal_position": 45}, {"identifier": "W40", "position": [7, 13], "step": 45, "ordinal_position": 46}, {"identifier": "F13", "position": [6, 13], "step": 46, "ordinal_position": 47}, {"identifier": "K54", "position": [5, 13], "step": 47, "ordinal_position": 48}, {"identifier": "B78", "position": [5, 14], "step": 48, "ordinal_position": 49}, {"identifier": "J24", "position": [5, 15], "step": 49, "ordinal_position": 50}, {"identifier": "C15", "position": [6, 15], "step": 50, "ordinal_position": 51}, {"identifier": "W39", "position": [7, 15], "step": 51, "ordinal_position": 52}, {"identifier": "U64", "position": [8, 15], "step": 52, "ordinal_position": 53}, {"identifier": "B92", "position": [9, 15], "step": 53, "ordinal_position": 54}, {"identifier": "P54", "position": [9, 16], "step": 54, "ordinal_position": 55}, {"identifier": "R81", "position": [9, 17], "step": 55, "ordinal_position": 56}, {"identifier": "U89", "position": [9, 18], "step": 56, "ordinal_position": 57}, {"identifier": "E21", "position": [9, 19], "step": 57, "ordinal_position": 58}, {"identifier": "F14", "position": [8, 19], "step": 58, "ordinal_position": 59}, {"identifier": "T50", "position": [7, 19], "step": 59, "ordinal_position": 60}, {"identifier": "Q95", "position": [7, 18], "step": 60, "ordinal_position": 61}, {"identifier": "N40", "position": [7, 17], "step": 61, "ordinal_position": 62}, {"identifier": "O37", "position": [6, 17], "step": 62, "ordinal_position": 63}, {"identifier": "C01", "position": [5, 17], "step": 63, "ordinal_position": 64}, {"identifier": "R52", "position": [5, 18], "step": 64, "ordinal_position": 65}, {"identifier": "P35", "position": [5, 19], "step": 65, "ordinal_position": 66}, {"identifier": "A90", "position": [4, 19], "step": 66, "ordinal_position": 67}, {"identifier": "X39", "position": [3, 19], "step": 67, "ordinal_position": 68}, {"identifier": "H94", "position": [2, 19], "step": 68, "ordinal_position": 69}, {"identifier": "L11", "position": [1, 19], "step": 69, "ordinal_position": 70}, {"identifier": "G13", "position": [1, 18], "step": 70, "ordinal_position": 71}, {"identifier": "L48", "position": [1, 17], "step": 71, "ordinal_position": 72}, {"identifier": "P26", "position": [2, 17], "step": 72, "ordinal_position": 73}, {"identifier": "A15", "position": [3, 17], "step": 73, "ordinal_position": 74}, {"identifier": "B19", "position": [3, 16], "step": 74, "ordinal_position": 75}, {"identifier": "J02", "position": [3, 15], "step": 75, "ordinal_position": 76}, {"identifier": "M42", "position": [2, 15], "step": 76, "ordinal_position": 77}, {"identifier": "P87", "position": [1, 15], "step": 77, "ordinal_position": 78}, {"identifier": "Q61", "position": [1, 14], "step": 78, "ordinal_position": 79}, {"identifier": "D55", "position": [1, 13], "step": 79, "ordinal_position": 80}, {"identifier": "C12", "position": [2, 13], "step": 80, "ordinal_position": 81}, {"identifier": "H98", "position": [3, 13], "step": 81, "ordinal_position": 82}, {"identifier": "K96", "position": [3, 12], "step": 82, "ordinal_position": 83}, {"identifier": "M95", "position": [3, 11], "step": 83, "ordinal_position": 84}, {"identifier": "Y19", "position": [2, 11], "step": 84, "ordinal_position": 85}, {"identifier": "U95", "position": [1, 11], "step": 85, "ordinal_position": 86}, {"identifier": "K70", "position": [1, 10], "step": 86, "ordinal_position": 87}, {"identifier": "T74", "position": [1, 9], "step": 87, "ordinal_position": 88}, {"identifier": "R49", "position": [1, 8], "step": 88, "ordinal_position": 89}, {"identifier": "K53", "position": [1, 7], "step": 89, "ordinal_position": 90}, {"identifier": "X48", "position": [2, 7], "step": 90, "ordinal_position": 91}, {"identifier": "E38", "position": [3, 7], "step": 91, "ordinal_position": 92}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 92, "direction": "right", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_013.json"}} {"qa_id": "39f746cd66914992b21cbcb17f7fc749", "image_id": "L3-MazeLoop-test_21x21_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O59, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 35th position in this traversal?", "start_object_id": "O59", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [35], "ordinal_strings": ["35th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "B24", "traversal_path": [{"identifier": "O59", "position": [13, 18], "step": 0, "ordinal_position": 1}, {"identifier": "F46", "position": [13, 19], "step": 1, "ordinal_position": 2}, {"identifier": "L91", "position": [12, 19], "step": 2, "ordinal_position": 3}, {"identifier": "Y43", "position": [11, 19], "step": 3, "ordinal_position": 4}, {"identifier": "M10", "position": [11, 18], "step": 4, "ordinal_position": 5}, {"identifier": "J74", "position": [11, 17], "step": 5, "ordinal_position": 6}, {"identifier": "P97", "position": [11, 16], "step": 6, "ordinal_position": 7}, {"identifier": "V86", "position": [11, 15], "step": 7, "ordinal_position": 8}, {"identifier": "T61", "position": [11, 14], "step": 8, "ordinal_position": 9}, {"identifier": "O23", "position": [11, 13], "step": 9, "ordinal_position": 10}, {"identifier": "D84", "position": [10, 13], "step": 10, "ordinal_position": 11}, {"identifier": "X67", "position": [9, 13], "step": 11, "ordinal_position": 12}, {"identifier": "P22", "position": [9, 12], "step": 12, "ordinal_position": 13}, {"identifier": "D80", "position": [9, 11], "step": 13, "ordinal_position": 14}, {"identifier": "G10", "position": [10, 11], "step": 14, "ordinal_position": 15}, {"identifier": "G29", "position": [11, 11], "step": 15, "ordinal_position": 16}, {"identifier": "L85", "position": [11, 10], "step": 16, "ordinal_position": 17}, {"identifier": "W33", "position": [11, 9], "step": 17, "ordinal_position": 18}, {"identifier": "C22", "position": [11, 8], "step": 18, "ordinal_position": 19}, {"identifier": "E72", "position": [11, 7], "step": 19, "ordinal_position": 20}, {"identifier": "H32", "position": [11, 6], "step": 20, "ordinal_position": 21}, {"identifier": "P61", "position": [11, 5], "step": 21, "ordinal_position": 22}, {"identifier": "Z41", "position": [10, 5], "step": 22, "ordinal_position": 23}, {"identifier": "S97", "position": [9, 5], "step": 23, "ordinal_position": 24}, {"identifier": "E58", "position": [9, 4], "step": 24, "ordinal_position": 25}, {"identifier": "R78", "position": [9, 3], "step": 25, "ordinal_position": 26}, {"identifier": "V48", "position": [10, 3], "step": 26, "ordinal_position": 27}, {"identifier": "J77", "position": [11, 3], "step": 27, "ordinal_position": 28}, {"identifier": "Y98", "position": [12, 3], "step": 28, "ordinal_position": 29}, {"identifier": "X42", "position": [13, 3], "step": 29, "ordinal_position": 30}, {"identifier": "D87", "position": [13, 4], "step": 30, "ordinal_position": 31}, {"identifier": "I75", "position": [13, 5], "step": 31, "ordinal_position": 32}, {"identifier": "U50", "position": [13, 6], "step": 32, "ordinal_position": 33}, {"identifier": "P37", "position": [13, 7], "step": 33, "ordinal_position": 34}, {"identifier": "B24", "position": [13, 8], "step": 34, "ordinal_position": 35}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 35, "direction": "down", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_013.json"}} {"qa_id": "f1d78d7b44434e37bddb87471c2968b8", "image_id": "L3-MazeLoop-test_21x21_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G40, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 249th position in this traversal?", "start_object_id": "G40", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [249], "ordinal_strings": ["249th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "F25", "traversal_path": [{"identifier": "G40", "position": [13, 12], "step": 0, "ordinal_position": 1}, {"identifier": "R54", "position": [13, 13], "step": 1, "ordinal_position": 2}, {"identifier": "T11", "position": [14, 13], "step": 2, "ordinal_position": 3}, {"identifier": "A39", "position": [15, 13], "step": 3, "ordinal_position": 4}, {"identifier": "A63", "position": [16, 13], "step": 4, "ordinal_position": 5}, {"identifier": "G57", "position": [17, 13], "step": 5, "ordinal_position": 6}, {"identifier": "C13", "position": [17, 12], "step": 6, "ordinal_position": 7}, {"identifier": "G84", "position": [17, 11], "step": 7, "ordinal_position": 8}, {"identifier": "Y12", "position": [17, 10], "step": 8, "ordinal_position": 9}, {"identifier": "M58", "position": [17, 9], "step": 9, "ordinal_position": 10}, {"identifier": "G07", "position": [18, 9], "step": 10, "ordinal_position": 11}, {"identifier": "F87", "position": [19, 9], "step": 11, "ordinal_position": 12}, {"identifier": "C08", "position": [19, 8], "step": 12, "ordinal_position": 13}, {"identifier": "S43", "position": [19, 7], "step": 13, "ordinal_position": 14}, {"identifier": "S04", "position": [18, 7], "step": 14, "ordinal_position": 15}, {"identifier": "V79", "position": [17, 7], "step": 15, "ordinal_position": 16}, {"identifier": "X75", "position": [17, 6], "step": 16, "ordinal_position": 17}, {"identifier": "S20", "position": [17, 5], "step": 17, "ordinal_position": 18}, {"identifier": "Q24", "position": [18, 5], "step": 18, "ordinal_position": 19}, {"identifier": "N85", "position": [19, 5], "step": 19, "ordinal_position": 20}, {"identifier": "Y90", "position": [19, 4], "step": 20, "ordinal_position": 21}, {"identifier": "M26", "position": [19, 3], "step": 21, "ordinal_position": 22}, {"identifier": "E08", "position": [19, 2], "step": 22, "ordinal_position": 23}, {"identifier": "U44", "position": [19, 1], "step": 23, "ordinal_position": 24}, {"identifier": "L31", "position": [18, 1], "step": 24, "ordinal_position": 25}, {"identifier": "K68", "position": [17, 1], "step": 25, "ordinal_position": 26}, {"identifier": "W34", "position": [16, 1], "step": 26, "ordinal_position": 27}, {"identifier": "R38", "position": [15, 1], "step": 27, "ordinal_position": 28}, {"identifier": "C88", "position": [14, 1], "step": 28, "ordinal_position": 29}, {"identifier": "B36", "position": [13, 1], "step": 29, "ordinal_position": 30}, {"identifier": "A22", "position": [12, 1], "step": 30, "ordinal_position": 31}, {"identifier": "K16", "position": [11, 1], "step": 31, "ordinal_position": 32}, {"identifier": "V29", "position": [10, 1], "step": 32, "ordinal_position": 33}, {"identifier": "D72", "position": [9, 1], "step": 33, "ordinal_position": 34}, {"identifier": "B06", "position": [8, 1], "step": 34, "ordinal_position": 35}, {"identifier": "S09", "position": [7, 1], "step": 35, "ordinal_position": 36}, {"identifier": "G12", "position": [6, 1], "step": 36, "ordinal_position": 37}, {"identifier": "T30", "position": [5, 1], "step": 37, "ordinal_position": 38}, {"identifier": "C31", "position": [4, 1], "step": 38, "ordinal_position": 39}, {"identifier": "Q10", "position": [3, 1], "step": 39, "ordinal_position": 40}, {"identifier": "F25", "position": [2, 1], "step": 40, "ordinal_position": 41}, {"identifier": "F44", "position": [1, 1], "step": 41, "ordinal_position": 42}, {"identifier": "I94", "position": [1, 2], "step": 42, "ordinal_position": 43}, {"identifier": "E48", "position": [1, 3], "step": 43, "ordinal_position": 44}, {"identifier": "M20", "position": [1, 4], "step": 44, "ordinal_position": 45}, {"identifier": "X89", "position": [1, 5], "step": 45, "ordinal_position": 46}, {"identifier": "F10", "position": [2, 5], "step": 46, "ordinal_position": 47}, {"identifier": "A20", "position": [3, 5], "step": 47, "ordinal_position": 48}, {"identifier": "F29", "position": [3, 4], "step": 48, "ordinal_position": 49}, {"identifier": "L89", "position": [3, 3], "step": 49, "ordinal_position": 50}, {"identifier": "T82", "position": [4, 3], "step": 50, "ordinal_position": 51}, {"identifier": "Y70", "position": [5, 3], "step": 51, "ordinal_position": 52}, {"identifier": "P38", "position": [5, 2], "step": 52, "ordinal_position": 53}, {"identifier": "T30", "position": [5, 1], "step": 53, "ordinal_position": 54}, {"identifier": "C31", "position": [4, 1], "step": 54, "ordinal_position": 55}, {"identifier": "Q10", "position": [3, 1], "step": 55, "ordinal_position": 56}, {"identifier": "F25", "position": [2, 1], "step": 56, "ordinal_position": 57}, {"identifier": "F44", "position": [1, 1], "step": 57, "ordinal_position": 58}, {"identifier": "I94", "position": [1, 2], "step": 58, "ordinal_position": 59}, {"identifier": "E48", "position": [1, 3], "step": 59, "ordinal_position": 60}, {"identifier": "M20", "position": [1, 4], "step": 60, "ordinal_position": 61}, {"identifier": "X89", "position": [1, 5], "step": 61, "ordinal_position": 62}, {"identifier": "F10", "position": [2, 5], "step": 62, "ordinal_position": 63}, {"identifier": "A20", "position": [3, 5], "step": 63, "ordinal_position": 64}, {"identifier": "F29", "position": [3, 4], "step": 64, "ordinal_position": 65}, {"identifier": "L89", "position": [3, 3], "step": 65, "ordinal_position": 66}, {"identifier": "T82", "position": [4, 3], "step": 66, "ordinal_position": 67}, {"identifier": "Y70", "position": [5, 3], "step": 67, "ordinal_position": 68}, {"identifier": "P38", "position": [5, 2], "step": 68, "ordinal_position": 69}, {"identifier": "T30", "position": [5, 1], "step": 69, "ordinal_position": 70}, {"identifier": "C31", "position": [4, 1], "step": 70, "ordinal_position": 71}, {"identifier": "Q10", "position": [3, 1], "step": 71, "ordinal_position": 72}, {"identifier": "F25", "position": [2, 1], "step": 72, "ordinal_position": 73}, {"identifier": "F44", "position": [1, 1], "step": 73, "ordinal_position": 74}, {"identifier": "I94", "position": [1, 2], "step": 74, "ordinal_position": 75}, {"identifier": "E48", "position": [1, 3], "step": 75, "ordinal_position": 76}, {"identifier": "M20", "position": [1, 4], "step": 76, "ordinal_position": 77}, {"identifier": "X89", "position": [1, 5], "step": 77, "ordinal_position": 78}, {"identifier": "F10", "position": [2, 5], "step": 78, "ordinal_position": 79}, {"identifier": "A20", "position": [3, 5], "step": 79, "ordinal_position": 80}, {"identifier": "F29", "position": [3, 4], "step": 80, "ordinal_position": 81}, {"identifier": "L89", "position": [3, 3], "step": 81, "ordinal_position": 82}, {"identifier": "T82", "position": [4, 3], "step": 82, "ordinal_position": 83}, {"identifier": "Y70", "position": [5, 3], "step": 83, "ordinal_position": 84}, {"identifier": "P38", "position": [5, 2], "step": 84, "ordinal_position": 85}, {"identifier": "T30", "position": [5, 1], "step": 85, "ordinal_position": 86}, {"identifier": "C31", "position": [4, 1], "step": 86, "ordinal_position": 87}, {"identifier": "Q10", "position": [3, 1], "step": 87, "ordinal_position": 88}, {"identifier": "F25", "position": [2, 1], "step": 88, "ordinal_position": 89}, {"identifier": "F44", "position": [1, 1], "step": 89, "ordinal_position": 90}, {"identifier": "I94", "position": [1, 2], "step": 90, "ordinal_position": 91}, {"identifier": "E48", "position": [1, 3], "step": 91, "ordinal_position": 92}, {"identifier": "M20", "position": [1, 4], "step": 92, "ordinal_position": 93}, {"identifier": "X89", "position": [1, 5], "step": 93, "ordinal_position": 94}, {"identifier": "F10", "position": [2, 5], "step": 94, "ordinal_position": 95}, {"identifier": "A20", "position": [3, 5], "step": 95, "ordinal_position": 96}, {"identifier": "F29", "position": [3, 4], "step": 96, "ordinal_position": 97}, {"identifier": "L89", "position": [3, 3], "step": 97, "ordinal_position": 98}, {"identifier": "T82", "position": [4, 3], "step": 98, "ordinal_position": 99}, {"identifier": "Y70", "position": [5, 3], "step": 99, "ordinal_position": 100}, {"identifier": "P38", "position": [5, 2], "step": 100, "ordinal_position": 101}, {"identifier": "T30", "position": [5, 1], "step": 101, "ordinal_position": 102}, {"identifier": "C31", "position": [4, 1], "step": 102, "ordinal_position": 103}, {"identifier": "Q10", "position": [3, 1], "step": 103, "ordinal_position": 104}, {"identifier": "F25", "position": [2, 1], "step": 104, "ordinal_position": 105}, {"identifier": "F44", "position": [1, 1], "step": 105, "ordinal_position": 106}, {"identifier": "I94", "position": [1, 2], "step": 106, "ordinal_position": 107}, {"identifier": "E48", "position": [1, 3], "step": 107, "ordinal_position": 108}, {"identifier": "M20", "position": [1, 4], "step": 108, "ordinal_position": 109}, {"identifier": "X89", "position": [1, 5], "step": 109, "ordinal_position": 110}, {"identifier": "F10", "position": [2, 5], "step": 110, "ordinal_position": 111}, {"identifier": "A20", "position": [3, 5], "step": 111, "ordinal_position": 112}, {"identifier": "F29", "position": [3, 4], "step": 112, "ordinal_position": 113}, {"identifier": "L89", "position": [3, 3], "step": 113, "ordinal_position": 114}, {"identifier": "T82", "position": [4, 3], "step": 114, "ordinal_position": 115}, {"identifier": "Y70", "position": [5, 3], "step": 115, "ordinal_position": 116}, {"identifier": "P38", "position": [5, 2], "step": 116, "ordinal_position": 117}, {"identifier": "T30", "position": [5, 1], "step": 117, "ordinal_position": 118}, {"identifier": "C31", "position": [4, 1], "step": 118, "ordinal_position": 119}, {"identifier": "Q10", "position": [3, 1], "step": 119, "ordinal_position": 120}, {"identifier": "F25", "position": [2, 1], "step": 120, "ordinal_position": 121}, {"identifier": "F44", "position": [1, 1], "step": 121, "ordinal_position": 122}, {"identifier": "I94", "position": [1, 2], "step": 122, "ordinal_position": 123}, {"identifier": "E48", "position": [1, 3], "step": 123, "ordinal_position": 124}, {"identifier": "M20", "position": [1, 4], "step": 124, "ordinal_position": 125}, {"identifier": "X89", "position": [1, 5], "step": 125, "ordinal_position": 126}, {"identifier": "F10", "position": [2, 5], "step": 126, "ordinal_position": 127}, {"identifier": "A20", "position": [3, 5], "step": 127, "ordinal_position": 128}, {"identifier": "F29", "position": [3, 4], "step": 128, "ordinal_position": 129}, {"identifier": "L89", "position": [3, 3], "step": 129, "ordinal_position": 130}, {"identifier": "T82", "position": [4, 3], "step": 130, "ordinal_position": 131}, {"identifier": "Y70", "position": [5, 3], "step": 131, "ordinal_position": 132}, {"identifier": "P38", "position": [5, 2], "step": 132, "ordinal_position": 133}, {"identifier": "T30", "position": [5, 1], "step": 133, "ordinal_position": 134}, {"identifier": "C31", "position": [4, 1], "step": 134, "ordinal_position": 135}, {"identifier": "Q10", "position": [3, 1], "step": 135, "ordinal_position": 136}, {"identifier": "F25", "position": [2, 1], "step": 136, "ordinal_position": 137}, {"identifier": "F44", "position": [1, 1], "step": 137, "ordinal_position": 138}, {"identifier": "I94", "position": [1, 2], "step": 138, "ordinal_position": 139}, {"identifier": "E48", "position": [1, 3], "step": 139, "ordinal_position": 140}, {"identifier": "M20", "position": [1, 4], "step": 140, "ordinal_position": 141}, {"identifier": "X89", "position": [1, 5], "step": 141, "ordinal_position": 142}, {"identifier": "F10", "position": [2, 5], "step": 142, "ordinal_position": 143}, {"identifier": "A20", "position": [3, 5], "step": 143, "ordinal_position": 144}, {"identifier": "F29", "position": [3, 4], "step": 144, "ordinal_position": 145}, {"identifier": "L89", "position": [3, 3], "step": 145, "ordinal_position": 146}, {"identifier": "T82", "position": [4, 3], "step": 146, "ordinal_position": 147}, {"identifier": "Y70", "position": [5, 3], "step": 147, "ordinal_position": 148}, {"identifier": "P38", "position": [5, 2], "step": 148, "ordinal_position": 149}, {"identifier": "T30", "position": [5, 1], "step": 149, "ordinal_position": 150}, {"identifier": "C31", "position": [4, 1], "step": 150, "ordinal_position": 151}, {"identifier": "Q10", "position": [3, 1], "step": 151, "ordinal_position": 152}, {"identifier": "F25", "position": [2, 1], "step": 152, "ordinal_position": 153}, {"identifier": "F44", "position": [1, 1], "step": 153, "ordinal_position": 154}, {"identifier": "I94", "position": [1, 2], "step": 154, "ordinal_position": 155}, {"identifier": "E48", "position": [1, 3], "step": 155, "ordinal_position": 156}, {"identifier": "M20", "position": [1, 4], "step": 156, "ordinal_position": 157}, {"identifier": "X89", "position": [1, 5], "step": 157, "ordinal_position": 158}, {"identifier": "F10", "position": [2, 5], "step": 158, "ordinal_position": 159}, {"identifier": "A20", "position": [3, 5], "step": 159, "ordinal_position": 160}, {"identifier": "F29", "position": [3, 4], "step": 160, "ordinal_position": 161}, {"identifier": "L89", "position": [3, 3], "step": 161, "ordinal_position": 162}, {"identifier": "T82", "position": [4, 3], "step": 162, "ordinal_position": 163}, {"identifier": "Y70", "position": [5, 3], "step": 163, "ordinal_position": 164}, {"identifier": "P38", "position": [5, 2], "step": 164, "ordinal_position": 165}, {"identifier": "T30", "position": [5, 1], "step": 165, "ordinal_position": 166}, {"identifier": "C31", "position": [4, 1], "step": 166, "ordinal_position": 167}, {"identifier": "Q10", "position": [3, 1], "step": 167, "ordinal_position": 168}, {"identifier": "F25", "position": [2, 1], "step": 168, "ordinal_position": 169}, {"identifier": "F44", "position": [1, 1], "step": 169, "ordinal_position": 170}, {"identifier": "I94", "position": [1, 2], "step": 170, "ordinal_position": 171}, {"identifier": "E48", "position": [1, 3], "step": 171, "ordinal_position": 172}, {"identifier": "M20", "position": [1, 4], "step": 172, "ordinal_position": 173}, {"identifier": "X89", "position": [1, 5], "step": 173, "ordinal_position": 174}, {"identifier": "F10", "position": [2, 5], "step": 174, "ordinal_position": 175}, {"identifier": "A20", "position": [3, 5], "step": 175, "ordinal_position": 176}, {"identifier": "F29", "position": [3, 4], "step": 176, "ordinal_position": 177}, {"identifier": "L89", "position": [3, 3], "step": 177, "ordinal_position": 178}, {"identifier": "T82", "position": [4, 3], "step": 178, "ordinal_position": 179}, {"identifier": "Y70", "position": [5, 3], "step": 179, "ordinal_position": 180}, {"identifier": "P38", "position": [5, 2], "step": 180, "ordinal_position": 181}, {"identifier": "T30", "position": [5, 1], "step": 181, "ordinal_position": 182}, {"identifier": "C31", "position": [4, 1], "step": 182, "ordinal_position": 183}, {"identifier": "Q10", "position": [3, 1], "step": 183, "ordinal_position": 184}, {"identifier": "F25", "position": [2, 1], "step": 184, "ordinal_position": 185}, {"identifier": "F44", "position": [1, 1], "step": 185, "ordinal_position": 186}, {"identifier": "I94", "position": [1, 2], "step": 186, "ordinal_position": 187}, {"identifier": "E48", "position": [1, 3], "step": 187, "ordinal_position": 188}, {"identifier": "M20", "position": [1, 4], "step": 188, "ordinal_position": 189}, {"identifier": "X89", "position": [1, 5], "step": 189, "ordinal_position": 190}, {"identifier": "F10", "position": [2, 5], "step": 190, "ordinal_position": 191}, {"identifier": "A20", "position": [3, 5], "step": 191, "ordinal_position": 192}, {"identifier": "F29", "position": [3, 4], "step": 192, "ordinal_position": 193}, {"identifier": "L89", "position": [3, 3], "step": 193, "ordinal_position": 194}, {"identifier": "T82", "position": [4, 3], "step": 194, "ordinal_position": 195}, {"identifier": "Y70", "position": [5, 3], "step": 195, "ordinal_position": 196}, {"identifier": "P38", "position": [5, 2], "step": 196, "ordinal_position": 197}, {"identifier": "T30", "position": [5, 1], "step": 197, "ordinal_position": 198}, {"identifier": "C31", "position": [4, 1], "step": 198, "ordinal_position": 199}, {"identifier": "Q10", "position": [3, 1], "step": 199, "ordinal_position": 200}, {"identifier": "F25", "position": [2, 1], "step": 200, "ordinal_position": 201}, {"identifier": "F44", "position": [1, 1], "step": 201, "ordinal_position": 202}, {"identifier": "I94", "position": [1, 2], "step": 202, "ordinal_position": 203}, {"identifier": "E48", "position": [1, 3], "step": 203, "ordinal_position": 204}, {"identifier": "M20", "position": [1, 4], "step": 204, "ordinal_position": 205}, {"identifier": "X89", "position": [1, 5], "step": 205, "ordinal_position": 206}, {"identifier": "F10", "position": [2, 5], "step": 206, "ordinal_position": 207}, {"identifier": "A20", "position": [3, 5], "step": 207, "ordinal_position": 208}, {"identifier": "F29", "position": [3, 4], "step": 208, "ordinal_position": 209}, {"identifier": "L89", "position": [3, 3], "step": 209, "ordinal_position": 210}, {"identifier": "T82", "position": [4, 3], "step": 210, "ordinal_position": 211}, {"identifier": "Y70", "position": [5, 3], "step": 211, "ordinal_position": 212}, {"identifier": "P38", "position": [5, 2], "step": 212, "ordinal_position": 213}, {"identifier": "T30", "position": [5, 1], "step": 213, "ordinal_position": 214}, {"identifier": "C31", "position": [4, 1], "step": 214, "ordinal_position": 215}, {"identifier": "Q10", "position": [3, 1], "step": 215, "ordinal_position": 216}, {"identifier": "F25", "position": [2, 1], "step": 216, "ordinal_position": 217}, {"identifier": "F44", "position": [1, 1], "step": 217, "ordinal_position": 218}, {"identifier": "I94", "position": [1, 2], "step": 218, "ordinal_position": 219}, {"identifier": "E48", "position": [1, 3], "step": 219, "ordinal_position": 220}, {"identifier": "M20", "position": [1, 4], "step": 220, "ordinal_position": 221}, {"identifier": "X89", "position": [1, 5], "step": 221, "ordinal_position": 222}, {"identifier": "F10", "position": [2, 5], "step": 222, "ordinal_position": 223}, {"identifier": "A20", "position": [3, 5], "step": 223, "ordinal_position": 224}, {"identifier": "F29", "position": [3, 4], "step": 224, "ordinal_position": 225}, {"identifier": "L89", "position": [3, 3], "step": 225, "ordinal_position": 226}, {"identifier": "T82", "position": [4, 3], "step": 226, "ordinal_position": 227}, {"identifier": "Y70", "position": [5, 3], "step": 227, "ordinal_position": 228}, {"identifier": "P38", "position": [5, 2], "step": 228, "ordinal_position": 229}, {"identifier": "T30", "position": [5, 1], "step": 229, "ordinal_position": 230}, {"identifier": "C31", "position": [4, 1], "step": 230, "ordinal_position": 231}, {"identifier": "Q10", "position": [3, 1], "step": 231, "ordinal_position": 232}, {"identifier": "F25", "position": [2, 1], "step": 232, "ordinal_position": 233}, {"identifier": "F44", "position": [1, 1], "step": 233, "ordinal_position": 234}, {"identifier": "I94", "position": [1, 2], "step": 234, "ordinal_position": 235}, {"identifier": "E48", "position": [1, 3], "step": 235, "ordinal_position": 236}, {"identifier": "M20", "position": [1, 4], "step": 236, "ordinal_position": 237}, {"identifier": "X89", "position": [1, 5], "step": 237, "ordinal_position": 238}, {"identifier": "F10", "position": [2, 5], "step": 238, "ordinal_position": 239}, {"identifier": "A20", "position": [3, 5], "step": 239, "ordinal_position": 240}, {"identifier": "F29", "position": [3, 4], "step": 240, "ordinal_position": 241}, {"identifier": "L89", "position": [3, 3], "step": 241, "ordinal_position": 242}, {"identifier": "T82", "position": [4, 3], "step": 242, "ordinal_position": 243}, {"identifier": "Y70", "position": [5, 3], "step": 243, "ordinal_position": 244}, {"identifier": "P38", "position": [5, 2], "step": 244, "ordinal_position": 245}, {"identifier": "T30", "position": [5, 1], "step": 245, "ordinal_position": 246}, {"identifier": "C31", "position": [4, 1], "step": 246, "ordinal_position": 247}, {"identifier": "Q10", "position": [3, 1], "step": 247, "ordinal_position": 248}, {"identifier": "F25", "position": [2, 1], "step": 248, "ordinal_position": 249}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 249, "direction": "down", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_013.json"}} {"qa_id": "65e4c953f89f43d1bf5a7e2b5a538fb7", "image_id": "L3-MazeLoop-test_21x21_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X68, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 169th position in this traversal?", "start_object_id": "X68", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [169], "ordinal_strings": ["169th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "G57", "traversal_path": [{"identifier": "X68", "position": [13, 17], "step": 0, "ordinal_position": 1}, {"identifier": "F61", "position": [14, 17], "step": 1, "ordinal_position": 2}, {"identifier": "S40", "position": [15, 17], "step": 2, "ordinal_position": 3}, {"identifier": "Z48", "position": [16, 17], "step": 3, "ordinal_position": 4}, {"identifier": "B67", "position": [17, 17], "step": 4, "ordinal_position": 5}, {"identifier": "V91", "position": [18, 17], "step": 5, "ordinal_position": 6}, {"identifier": "P09", "position": [19, 17], "step": 6, "ordinal_position": 7}, {"identifier": "A88", "position": [19, 18], "step": 7, "ordinal_position": 8}, {"identifier": "K12", "position": [19, 19], "step": 8, "ordinal_position": 9}, {"identifier": "G17", "position": [18, 19], "step": 9, "ordinal_position": 10}, {"identifier": "I42", "position": [17, 19], "step": 10, "ordinal_position": 11}, {"identifier": "F80", "position": [16, 19], "step": 11, "ordinal_position": 12}, {"identifier": "V02", "position": [15, 19], "step": 12, "ordinal_position": 13}, {"identifier": "R04", "position": [14, 19], "step": 13, "ordinal_position": 14}, {"identifier": "F46", "position": [13, 19], "step": 14, "ordinal_position": 15}, {"identifier": "L91", "position": [12, 19], "step": 15, "ordinal_position": 16}, {"identifier": "Y43", "position": [11, 19], "step": 16, "ordinal_position": 17}, {"identifier": "M10", "position": [11, 18], "step": 17, "ordinal_position": 18}, {"identifier": "J74", "position": [11, 17], "step": 18, "ordinal_position": 19}, {"identifier": "P97", "position": [11, 16], "step": 19, "ordinal_position": 20}, {"identifier": "V86", "position": [11, 15], "step": 20, "ordinal_position": 21}, {"identifier": "T61", "position": [11, 14], "step": 21, "ordinal_position": 22}, {"identifier": "O23", "position": [11, 13], "step": 22, "ordinal_position": 23}, {"identifier": "D84", "position": [10, 13], "step": 23, "ordinal_position": 24}, {"identifier": "X67", "position": [9, 13], "step": 24, "ordinal_position": 25}, {"identifier": "P22", "position": [9, 12], "step": 25, "ordinal_position": 26}, {"identifier": "D80", "position": [9, 11], "step": 26, "ordinal_position": 27}, {"identifier": "G10", "position": [10, 11], "step": 27, "ordinal_position": 28}, {"identifier": "G29", "position": [11, 11], "step": 28, "ordinal_position": 29}, {"identifier": "L85", "position": [11, 10], "step": 29, "ordinal_position": 30}, {"identifier": "W33", "position": [11, 9], "step": 30, "ordinal_position": 31}, {"identifier": "C22", "position": [11, 8], "step": 31, "ordinal_position": 32}, {"identifier": "E72", "position": [11, 7], "step": 32, "ordinal_position": 33}, {"identifier": "H32", "position": [11, 6], "step": 33, "ordinal_position": 34}, {"identifier": "P61", "position": [11, 5], "step": 34, "ordinal_position": 35}, {"identifier": "Z41", "position": [10, 5], "step": 35, "ordinal_position": 36}, {"identifier": "S97", "position": [9, 5], "step": 36, "ordinal_position": 37}, {"identifier": "E58", "position": [9, 4], "step": 37, "ordinal_position": 38}, {"identifier": "R78", "position": [9, 3], "step": 38, "ordinal_position": 39}, {"identifier": "V48", "position": [10, 3], "step": 39, "ordinal_position": 40}, {"identifier": "J77", "position": [11, 3], "step": 40, "ordinal_position": 41}, {"identifier": "Y98", "position": [12, 3], "step": 41, "ordinal_position": 42}, {"identifier": "X42", "position": [13, 3], "step": 42, "ordinal_position": 43}, {"identifier": "D87", "position": [13, 4], "step": 43, "ordinal_position": 44}, {"identifier": "I75", "position": [13, 5], "step": 44, "ordinal_position": 45}, {"identifier": "U50", "position": [13, 6], "step": 45, "ordinal_position": 46}, {"identifier": "P37", "position": [13, 7], "step": 46, "ordinal_position": 47}, {"identifier": "B24", "position": [13, 8], "step": 47, "ordinal_position": 48}, {"identifier": "G35", "position": [13, 9], "step": 48, "ordinal_position": 49}, {"identifier": "V62", "position": [13, 10], "step": 49, "ordinal_position": 50}, {"identifier": "D30", "position": [13, 11], "step": 50, "ordinal_position": 51}, {"identifier": "G40", "position": [13, 12], "step": 51, "ordinal_position": 52}, {"identifier": "R54", "position": [13, 13], "step": 52, "ordinal_position": 53}, {"identifier": "T11", "position": [14, 13], "step": 53, "ordinal_position": 54}, {"identifier": "A39", "position": [15, 13], "step": 54, "ordinal_position": 55}, {"identifier": "A63", "position": [16, 13], "step": 55, "ordinal_position": 56}, {"identifier": "G57", "position": [17, 13], "step": 56, "ordinal_position": 57}, {"identifier": "C13", "position": [17, 12], "step": 57, "ordinal_position": 58}, {"identifier": "G84", "position": [17, 11], "step": 58, "ordinal_position": 59}, {"identifier": "Y12", "position": [17, 10], "step": 59, "ordinal_position": 60}, {"identifier": "M58", "position": [17, 9], "step": 60, "ordinal_position": 61}, {"identifier": "G07", "position": [18, 9], "step": 61, "ordinal_position": 62}, {"identifier": "F87", "position": [19, 9], "step": 62, "ordinal_position": 63}, {"identifier": "E11", "position": [19, 10], "step": 63, "ordinal_position": 64}, {"identifier": "O13", "position": [19, 11], "step": 64, "ordinal_position": 65}, {"identifier": "K60", "position": [19, 12], "step": 65, "ordinal_position": 66}, {"identifier": "P11", "position": [19, 13], "step": 66, "ordinal_position": 67}, {"identifier": "Z12", "position": [19, 14], "step": 67, "ordinal_position": 68}, {"identifier": "C76", "position": [19, 15], "step": 68, "ordinal_position": 69}, {"identifier": "J64", "position": [18, 15], "step": 69, "ordinal_position": 70}, {"identifier": "N92", "position": [17, 15], "step": 70, "ordinal_position": 71}, {"identifier": "C26", "position": [17, 16], "step": 71, "ordinal_position": 72}, {"identifier": "B67", "position": [17, 17], "step": 72, "ordinal_position": 73}, {"identifier": "Z48", "position": [16, 17], "step": 73, "ordinal_position": 74}, {"identifier": "S40", "position": [15, 17], "step": 74, "ordinal_position": 75}, {"identifier": "F61", "position": [14, 17], "step": 75, "ordinal_position": 76}, {"identifier": "X68", "position": [13, 17], "step": 76, "ordinal_position": 77}, {"identifier": "U35", "position": [13, 16], "step": 77, "ordinal_position": 78}, {"identifier": "V35", "position": [13, 15], "step": 78, "ordinal_position": 79}, {"identifier": "V85", "position": [14, 15], "step": 79, "ordinal_position": 80}, {"identifier": "Z37", "position": [15, 15], "step": 80, "ordinal_position": 81}, {"identifier": "J27", "position": [15, 14], "step": 81, "ordinal_position": 82}, {"identifier": "A39", "position": [15, 13], "step": 82, "ordinal_position": 83}, {"identifier": "A63", "position": [16, 13], "step": 83, "ordinal_position": 84}, {"identifier": "G57", "position": [17, 13], "step": 84, "ordinal_position": 85}, {"identifier": "C13", "position": [17, 12], "step": 85, "ordinal_position": 86}, {"identifier": "G84", "position": [17, 11], "step": 86, "ordinal_position": 87}, {"identifier": "Y12", "position": [17, 10], "step": 87, "ordinal_position": 88}, {"identifier": "M58", "position": [17, 9], "step": 88, "ordinal_position": 89}, {"identifier": "G07", "position": [18, 9], "step": 89, "ordinal_position": 90}, {"identifier": "F87", "position": [19, 9], "step": 90, "ordinal_position": 91}, {"identifier": "E11", "position": [19, 10], "step": 91, "ordinal_position": 92}, {"identifier": "O13", "position": [19, 11], "step": 92, "ordinal_position": 93}, {"identifier": "K60", "position": [19, 12], "step": 93, "ordinal_position": 94}, {"identifier": "P11", "position": [19, 13], "step": 94, "ordinal_position": 95}, {"identifier": "Z12", "position": [19, 14], "step": 95, "ordinal_position": 96}, {"identifier": "C76", "position": [19, 15], "step": 96, "ordinal_position": 97}, {"identifier": "J64", "position": [18, 15], "step": 97, "ordinal_position": 98}, {"identifier": "N92", "position": [17, 15], "step": 98, "ordinal_position": 99}, {"identifier": "C26", "position": [17, 16], "step": 99, "ordinal_position": 100}, {"identifier": "B67", "position": [17, 17], "step": 100, "ordinal_position": 101}, {"identifier": "Z48", "position": [16, 17], "step": 101, "ordinal_position": 102}, {"identifier": "S40", "position": [15, 17], "step": 102, "ordinal_position": 103}, {"identifier": "F61", "position": [14, 17], "step": 103, "ordinal_position": 104}, {"identifier": "X68", "position": [13, 17], "step": 104, "ordinal_position": 105}, {"identifier": "U35", "position": [13, 16], "step": 105, "ordinal_position": 106}, {"identifier": "V35", "position": [13, 15], "step": 106, "ordinal_position": 107}, {"identifier": "V85", "position": [14, 15], "step": 107, "ordinal_position": 108}, {"identifier": "Z37", "position": [15, 15], "step": 108, "ordinal_position": 109}, {"identifier": "J27", "position": [15, 14], "step": 109, "ordinal_position": 110}, {"identifier": "A39", "position": [15, 13], "step": 110, "ordinal_position": 111}, {"identifier": "A63", "position": [16, 13], "step": 111, "ordinal_position": 112}, {"identifier": "G57", "position": [17, 13], "step": 112, "ordinal_position": 113}, {"identifier": "C13", "position": [17, 12], "step": 113, "ordinal_position": 114}, {"identifier": "G84", "position": [17, 11], "step": 114, "ordinal_position": 115}, {"identifier": "Y12", "position": [17, 10], "step": 115, "ordinal_position": 116}, {"identifier": "M58", "position": [17, 9], "step": 116, "ordinal_position": 117}, {"identifier": "G07", "position": [18, 9], "step": 117, "ordinal_position": 118}, {"identifier": "F87", "position": [19, 9], "step": 118, "ordinal_position": 119}, {"identifier": "E11", "position": [19, 10], "step": 119, "ordinal_position": 120}, {"identifier": "O13", "position": [19, 11], "step": 120, "ordinal_position": 121}, {"identifier": "K60", "position": [19, 12], "step": 121, "ordinal_position": 122}, {"identifier": "P11", "position": [19, 13], "step": 122, "ordinal_position": 123}, {"identifier": "Z12", "position": [19, 14], "step": 123, "ordinal_position": 124}, {"identifier": "C76", "position": [19, 15], "step": 124, "ordinal_position": 125}, {"identifier": "J64", "position": [18, 15], "step": 125, "ordinal_position": 126}, {"identifier": "N92", "position": [17, 15], "step": 126, "ordinal_position": 127}, {"identifier": "C26", "position": [17, 16], "step": 127, "ordinal_position": 128}, {"identifier": "B67", "position": [17, 17], "step": 128, "ordinal_position": 129}, {"identifier": "Z48", "position": [16, 17], "step": 129, "ordinal_position": 130}, {"identifier": "S40", "position": [15, 17], "step": 130, "ordinal_position": 131}, {"identifier": "F61", "position": [14, 17], "step": 131, "ordinal_position": 132}, {"identifier": "X68", "position": [13, 17], "step": 132, "ordinal_position": 133}, {"identifier": "U35", "position": [13, 16], "step": 133, "ordinal_position": 134}, {"identifier": "V35", "position": [13, 15], "step": 134, "ordinal_position": 135}, {"identifier": "V85", "position": [14, 15], "step": 135, "ordinal_position": 136}, {"identifier": "Z37", "position": [15, 15], "step": 136, "ordinal_position": 137}, {"identifier": "J27", "position": [15, 14], "step": 137, "ordinal_position": 138}, {"identifier": "A39", "position": [15, 13], "step": 138, "ordinal_position": 139}, {"identifier": "A63", "position": [16, 13], "step": 139, "ordinal_position": 140}, {"identifier": "G57", "position": [17, 13], "step": 140, "ordinal_position": 141}, {"identifier": "C13", "position": [17, 12], "step": 141, "ordinal_position": 142}, {"identifier": "G84", "position": [17, 11], "step": 142, "ordinal_position": 143}, {"identifier": "Y12", "position": [17, 10], "step": 143, "ordinal_position": 144}, {"identifier": "M58", "position": [17, 9], "step": 144, "ordinal_position": 145}, {"identifier": "G07", "position": [18, 9], "step": 145, "ordinal_position": 146}, {"identifier": "F87", "position": [19, 9], "step": 146, "ordinal_position": 147}, {"identifier": "E11", "position": [19, 10], "step": 147, "ordinal_position": 148}, {"identifier": "O13", "position": [19, 11], "step": 148, "ordinal_position": 149}, {"identifier": "K60", "position": [19, 12], "step": 149, "ordinal_position": 150}, {"identifier": "P11", "position": [19, 13], "step": 150, "ordinal_position": 151}, {"identifier": "Z12", "position": [19, 14], "step": 151, "ordinal_position": 152}, {"identifier": "C76", "position": [19, 15], "step": 152, "ordinal_position": 153}, {"identifier": "J64", "position": [18, 15], "step": 153, "ordinal_position": 154}, {"identifier": "N92", "position": [17, 15], "step": 154, "ordinal_position": 155}, {"identifier": "C26", "position": [17, 16], "step": 155, "ordinal_position": 156}, {"identifier": "B67", "position": [17, 17], "step": 156, "ordinal_position": 157}, {"identifier": "Z48", "position": [16, 17], "step": 157, "ordinal_position": 158}, {"identifier": "S40", "position": [15, 17], "step": 158, "ordinal_position": 159}, {"identifier": "F61", "position": [14, 17], "step": 159, "ordinal_position": 160}, {"identifier": "X68", "position": [13, 17], "step": 160, "ordinal_position": 161}, {"identifier": "U35", "position": [13, 16], "step": 161, "ordinal_position": 162}, {"identifier": "V35", "position": [13, 15], "step": 162, "ordinal_position": 163}, {"identifier": "V85", "position": [14, 15], "step": 163, "ordinal_position": 164}, {"identifier": "Z37", "position": [15, 15], "step": 164, "ordinal_position": 165}, {"identifier": "J27", "position": [15, 14], "step": 165, "ordinal_position": 166}, {"identifier": "A39", "position": [15, 13], "step": 166, "ordinal_position": 167}, {"identifier": "A63", "position": [16, 13], "step": 167, "ordinal_position": 168}, {"identifier": "G57", "position": [17, 13], "step": 168, "ordinal_position": 169}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 169, "direction": "right", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_013.json"}} {"qa_id": "98c7a4e866504bbd9d8070306c432e8e", "image_id": "L3-MazeLoop-test_21x21_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C19, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 263rd position in this traversal?", "start_object_id": "C19", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [263], "ordinal_strings": ["263rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "N92", "traversal_path": [{"identifier": "C19", "position": [9, 9], "step": 0, "ordinal_position": 1}, {"identifier": "N59", "position": [9, 8], "step": 1, "ordinal_position": 2}, {"identifier": "M63", "position": [9, 7], "step": 2, "ordinal_position": 3}, {"identifier": "O78", "position": [9, 6], "step": 3, "ordinal_position": 4}, {"identifier": "S97", "position": [9, 5], "step": 4, "ordinal_position": 5}, {"identifier": "E58", "position": [9, 4], "step": 5, "ordinal_position": 6}, {"identifier": "R78", "position": [9, 3], "step": 6, "ordinal_position": 7}, {"identifier": "V48", "position": [10, 3], "step": 7, "ordinal_position": 8}, {"identifier": "J77", "position": [11, 3], "step": 8, "ordinal_position": 9}, {"identifier": "Y98", "position": [12, 3], "step": 9, "ordinal_position": 10}, {"identifier": "X42", "position": [13, 3], "step": 10, "ordinal_position": 11}, {"identifier": "D87", "position": [13, 4], "step": 11, "ordinal_position": 12}, {"identifier": "I75", "position": [13, 5], "step": 12, "ordinal_position": 13}, {"identifier": "U50", "position": [13, 6], "step": 13, "ordinal_position": 14}, {"identifier": "P37", "position": [13, 7], "step": 14, "ordinal_position": 15}, {"identifier": "B24", "position": [13, 8], "step": 15, "ordinal_position": 16}, {"identifier": "G35", "position": [13, 9], "step": 16, "ordinal_position": 17}, {"identifier": "V62", "position": [13, 10], "step": 17, "ordinal_position": 18}, {"identifier": "D30", "position": [13, 11], "step": 18, "ordinal_position": 19}, {"identifier": "G40", "position": [13, 12], "step": 19, "ordinal_position": 20}, {"identifier": "R54", "position": [13, 13], "step": 20, "ordinal_position": 21}, {"identifier": "T11", "position": [14, 13], "step": 21, "ordinal_position": 22}, {"identifier": "A39", "position": [15, 13], "step": 22, "ordinal_position": 23}, {"identifier": "A63", "position": [16, 13], "step": 23, "ordinal_position": 24}, {"identifier": "G57", "position": [17, 13], "step": 24, "ordinal_position": 25}, {"identifier": "C13", "position": [17, 12], "step": 25, "ordinal_position": 26}, {"identifier": "G84", "position": [17, 11], "step": 26, "ordinal_position": 27}, {"identifier": "Y12", "position": [17, 10], "step": 27, "ordinal_position": 28}, {"identifier": "M58", "position": [17, 9], "step": 28, "ordinal_position": 29}, {"identifier": "G07", "position": [18, 9], "step": 29, "ordinal_position": 30}, {"identifier": "F87", "position": [19, 9], "step": 30, "ordinal_position": 31}, {"identifier": "E11", "position": [19, 10], "step": 31, "ordinal_position": 32}, {"identifier": "O13", "position": [19, 11], "step": 32, "ordinal_position": 33}, {"identifier": "K60", "position": [19, 12], "step": 33, "ordinal_position": 34}, {"identifier": "P11", "position": [19, 13], "step": 34, "ordinal_position": 35}, {"identifier": "Z12", "position": [19, 14], "step": 35, "ordinal_position": 36}, {"identifier": "C76", "position": [19, 15], "step": 36, "ordinal_position": 37}, {"identifier": "J64", "position": [18, 15], "step": 37, "ordinal_position": 38}, {"identifier": "N92", "position": [17, 15], "step": 38, "ordinal_position": 39}, {"identifier": "C26", "position": [17, 16], "step": 39, "ordinal_position": 40}, {"identifier": "B67", "position": [17, 17], "step": 40, "ordinal_position": 41}, {"identifier": "Z48", "position": [16, 17], "step": 41, "ordinal_position": 42}, {"identifier": "S40", "position": [15, 17], "step": 42, "ordinal_position": 43}, {"identifier": "F61", "position": [14, 17], "step": 43, "ordinal_position": 44}, {"identifier": "X68", "position": [13, 17], "step": 44, "ordinal_position": 45}, {"identifier": "U35", "position": [13, 16], "step": 45, "ordinal_position": 46}, {"identifier": "V35", "position": [13, 15], "step": 46, "ordinal_position": 47}, {"identifier": "V85", "position": [14, 15], "step": 47, "ordinal_position": 48}, {"identifier": "Z37", "position": [15, 15], "step": 48, "ordinal_position": 49}, {"identifier": "J27", "position": [15, 14], "step": 49, "ordinal_position": 50}, {"identifier": "A39", "position": [15, 13], "step": 50, "ordinal_position": 51}, {"identifier": "A63", "position": [16, 13], "step": 51, "ordinal_position": 52}, {"identifier": "G57", "position": [17, 13], "step": 52, "ordinal_position": 53}, {"identifier": "C13", "position": [17, 12], "step": 53, "ordinal_position": 54}, {"identifier": "G84", "position": [17, 11], "step": 54, "ordinal_position": 55}, {"identifier": "Y12", "position": [17, 10], "step": 55, "ordinal_position": 56}, {"identifier": "M58", "position": [17, 9], "step": 56, "ordinal_position": 57}, {"identifier": "G07", "position": [18, 9], "step": 57, "ordinal_position": 58}, {"identifier": "F87", "position": [19, 9], "step": 58, "ordinal_position": 59}, {"identifier": "E11", "position": [19, 10], "step": 59, "ordinal_position": 60}, {"identifier": "O13", "position": [19, 11], "step": 60, "ordinal_position": 61}, {"identifier": "K60", "position": [19, 12], "step": 61, "ordinal_position": 62}, {"identifier": "P11", "position": [19, 13], "step": 62, "ordinal_position": 63}, {"identifier": "Z12", "position": [19, 14], "step": 63, "ordinal_position": 64}, {"identifier": "C76", "position": [19, 15], "step": 64, "ordinal_position": 65}, {"identifier": "J64", "position": [18, 15], "step": 65, "ordinal_position": 66}, {"identifier": "N92", "position": [17, 15], "step": 66, "ordinal_position": 67}, {"identifier": "C26", "position": [17, 16], "step": 67, "ordinal_position": 68}, {"identifier": "B67", "position": [17, 17], "step": 68, "ordinal_position": 69}, {"identifier": "Z48", "position": [16, 17], "step": 69, "ordinal_position": 70}, {"identifier": "S40", "position": [15, 17], "step": 70, "ordinal_position": 71}, {"identifier": "F61", "position": [14, 17], "step": 71, "ordinal_position": 72}, {"identifier": "X68", "position": [13, 17], "step": 72, "ordinal_position": 73}, {"identifier": "U35", "position": [13, 16], "step": 73, "ordinal_position": 74}, {"identifier": "V35", "position": [13, 15], "step": 74, "ordinal_position": 75}, {"identifier": "V85", "position": [14, 15], "step": 75, "ordinal_position": 76}, {"identifier": "Z37", "position": [15, 15], "step": 76, "ordinal_position": 77}, {"identifier": "J27", "position": [15, 14], "step": 77, "ordinal_position": 78}, {"identifier": "A39", "position": [15, 13], "step": 78, "ordinal_position": 79}, {"identifier": "A63", "position": [16, 13], "step": 79, "ordinal_position": 80}, {"identifier": "G57", "position": [17, 13], "step": 80, "ordinal_position": 81}, {"identifier": "C13", "position": [17, 12], "step": 81, "ordinal_position": 82}, {"identifier": "G84", "position": [17, 11], "step": 82, "ordinal_position": 83}, {"identifier": "Y12", "position": [17, 10], "step": 83, "ordinal_position": 84}, {"identifier": "M58", "position": [17, 9], "step": 84, "ordinal_position": 85}, {"identifier": "G07", "position": [18, 9], "step": 85, "ordinal_position": 86}, {"identifier": "F87", "position": [19, 9], "step": 86, "ordinal_position": 87}, {"identifier": "E11", "position": [19, 10], "step": 87, "ordinal_position": 88}, {"identifier": "O13", "position": [19, 11], "step": 88, "ordinal_position": 89}, {"identifier": "K60", "position": [19, 12], "step": 89, "ordinal_position": 90}, {"identifier": "P11", "position": [19, 13], "step": 90, "ordinal_position": 91}, {"identifier": "Z12", "position": [19, 14], "step": 91, "ordinal_position": 92}, {"identifier": "C76", "position": [19, 15], "step": 92, "ordinal_position": 93}, {"identifier": "J64", "position": [18, 15], "step": 93, "ordinal_position": 94}, {"identifier": "N92", "position": [17, 15], "step": 94, "ordinal_position": 95}, {"identifier": "C26", "position": [17, 16], "step": 95, "ordinal_position": 96}, {"identifier": "B67", "position": [17, 17], "step": 96, "ordinal_position": 97}, {"identifier": "Z48", "position": [16, 17], "step": 97, "ordinal_position": 98}, {"identifier": "S40", "position": [15, 17], "step": 98, "ordinal_position": 99}, {"identifier": "F61", "position": [14, 17], "step": 99, "ordinal_position": 100}, {"identifier": "X68", "position": [13, 17], "step": 100, "ordinal_position": 101}, {"identifier": "U35", "position": [13, 16], "step": 101, "ordinal_position": 102}, {"identifier": "V35", "position": [13, 15], "step": 102, "ordinal_position": 103}, {"identifier": "V85", "position": [14, 15], "step": 103, "ordinal_position": 104}, {"identifier": "Z37", "position": [15, 15], "step": 104, "ordinal_position": 105}, {"identifier": "J27", "position": [15, 14], "step": 105, "ordinal_position": 106}, {"identifier": "A39", "position": [15, 13], "step": 106, "ordinal_position": 107}, {"identifier": "A63", "position": [16, 13], "step": 107, "ordinal_position": 108}, {"identifier": "G57", "position": [17, 13], "step": 108, "ordinal_position": 109}, {"identifier": "C13", "position": [17, 12], "step": 109, "ordinal_position": 110}, {"identifier": "G84", "position": [17, 11], "step": 110, "ordinal_position": 111}, {"identifier": "Y12", "position": [17, 10], "step": 111, "ordinal_position": 112}, {"identifier": "M58", "position": [17, 9], "step": 112, "ordinal_position": 113}, {"identifier": "G07", "position": [18, 9], "step": 113, "ordinal_position": 114}, {"identifier": "F87", "position": [19, 9], "step": 114, "ordinal_position": 115}, {"identifier": "E11", "position": [19, 10], "step": 115, "ordinal_position": 116}, {"identifier": "O13", "position": [19, 11], "step": 116, "ordinal_position": 117}, {"identifier": "K60", "position": [19, 12], "step": 117, "ordinal_position": 118}, {"identifier": "P11", "position": [19, 13], "step": 118, "ordinal_position": 119}, {"identifier": "Z12", "position": [19, 14], "step": 119, "ordinal_position": 120}, {"identifier": "C76", "position": [19, 15], "step": 120, "ordinal_position": 121}, {"identifier": "J64", "position": [18, 15], "step": 121, "ordinal_position": 122}, {"identifier": "N92", "position": [17, 15], "step": 122, "ordinal_position": 123}, {"identifier": "C26", "position": [17, 16], "step": 123, "ordinal_position": 124}, {"identifier": "B67", "position": [17, 17], "step": 124, "ordinal_position": 125}, {"identifier": "Z48", "position": [16, 17], "step": 125, "ordinal_position": 126}, {"identifier": "S40", "position": [15, 17], "step": 126, "ordinal_position": 127}, {"identifier": "F61", "position": [14, 17], "step": 127, "ordinal_position": 128}, {"identifier": "X68", "position": [13, 17], "step": 128, "ordinal_position": 129}, {"identifier": "U35", "position": [13, 16], "step": 129, "ordinal_position": 130}, {"identifier": "V35", "position": [13, 15], "step": 130, "ordinal_position": 131}, {"identifier": "V85", "position": [14, 15], "step": 131, "ordinal_position": 132}, {"identifier": "Z37", "position": [15, 15], "step": 132, "ordinal_position": 133}, {"identifier": "J27", "position": [15, 14], "step": 133, "ordinal_position": 134}, {"identifier": "A39", "position": [15, 13], "step": 134, "ordinal_position": 135}, {"identifier": "A63", "position": [16, 13], "step": 135, "ordinal_position": 136}, {"identifier": "G57", "position": [17, 13], "step": 136, "ordinal_position": 137}, {"identifier": "C13", "position": [17, 12], "step": 137, "ordinal_position": 138}, {"identifier": "G84", "position": [17, 11], "step": 138, "ordinal_position": 139}, {"identifier": "Y12", "position": [17, 10], "step": 139, "ordinal_position": 140}, {"identifier": "M58", "position": [17, 9], "step": 140, "ordinal_position": 141}, {"identifier": "G07", "position": [18, 9], "step": 141, "ordinal_position": 142}, {"identifier": "F87", "position": [19, 9], "step": 142, "ordinal_position": 143}, {"identifier": "E11", "position": [19, 10], "step": 143, "ordinal_position": 144}, {"identifier": "O13", "position": [19, 11], "step": 144, "ordinal_position": 145}, {"identifier": "K60", "position": [19, 12], "step": 145, "ordinal_position": 146}, {"identifier": "P11", "position": [19, 13], "step": 146, "ordinal_position": 147}, {"identifier": "Z12", "position": [19, 14], "step": 147, "ordinal_position": 148}, {"identifier": "C76", "position": [19, 15], "step": 148, "ordinal_position": 149}, {"identifier": "J64", "position": [18, 15], "step": 149, "ordinal_position": 150}, {"identifier": "N92", "position": [17, 15], "step": 150, "ordinal_position": 151}, {"identifier": "C26", "position": [17, 16], "step": 151, "ordinal_position": 152}, {"identifier": "B67", "position": [17, 17], "step": 152, "ordinal_position": 153}, {"identifier": "Z48", "position": [16, 17], "step": 153, "ordinal_position": 154}, {"identifier": "S40", "position": [15, 17], "step": 154, "ordinal_position": 155}, {"identifier": "F61", "position": [14, 17], "step": 155, "ordinal_position": 156}, {"identifier": "X68", "position": [13, 17], "step": 156, "ordinal_position": 157}, {"identifier": "U35", "position": [13, 16], "step": 157, "ordinal_position": 158}, {"identifier": "V35", "position": [13, 15], "step": 158, "ordinal_position": 159}, {"identifier": "V85", "position": [14, 15], "step": 159, "ordinal_position": 160}, {"identifier": "Z37", "position": [15, 15], "step": 160, "ordinal_position": 161}, {"identifier": "J27", "position": [15, 14], "step": 161, "ordinal_position": 162}, {"identifier": "A39", "position": [15, 13], "step": 162, "ordinal_position": 163}, {"identifier": "A63", "position": [16, 13], "step": 163, "ordinal_position": 164}, {"identifier": "G57", "position": [17, 13], "step": 164, "ordinal_position": 165}, {"identifier": "C13", "position": [17, 12], "step": 165, "ordinal_position": 166}, {"identifier": "G84", "position": [17, 11], "step": 166, "ordinal_position": 167}, {"identifier": "Y12", "position": [17, 10], "step": 167, "ordinal_position": 168}, {"identifier": "M58", "position": [17, 9], "step": 168, "ordinal_position": 169}, {"identifier": "G07", "position": [18, 9], "step": 169, "ordinal_position": 170}, {"identifier": "F87", "position": [19, 9], "step": 170, "ordinal_position": 171}, {"identifier": "E11", "position": [19, 10], "step": 171, "ordinal_position": 172}, {"identifier": "O13", "position": [19, 11], "step": 172, "ordinal_position": 173}, {"identifier": "K60", "position": [19, 12], "step": 173, "ordinal_position": 174}, {"identifier": "P11", "position": [19, 13], "step": 174, "ordinal_position": 175}, {"identifier": "Z12", "position": [19, 14], "step": 175, "ordinal_position": 176}, {"identifier": "C76", "position": [19, 15], "step": 176, "ordinal_position": 177}, {"identifier": "J64", "position": [18, 15], "step": 177, "ordinal_position": 178}, {"identifier": "N92", "position": [17, 15], "step": 178, "ordinal_position": 179}, {"identifier": "C26", "position": [17, 16], "step": 179, "ordinal_position": 180}, {"identifier": "B67", "position": [17, 17], "step": 180, "ordinal_position": 181}, {"identifier": "Z48", "position": [16, 17], "step": 181, "ordinal_position": 182}, {"identifier": "S40", "position": [15, 17], "step": 182, "ordinal_position": 183}, {"identifier": "F61", "position": [14, 17], "step": 183, "ordinal_position": 184}, {"identifier": "X68", "position": [13, 17], "step": 184, "ordinal_position": 185}, {"identifier": "U35", "position": [13, 16], "step": 185, "ordinal_position": 186}, {"identifier": "V35", "position": [13, 15], "step": 186, "ordinal_position": 187}, {"identifier": "V85", "position": [14, 15], "step": 187, "ordinal_position": 188}, {"identifier": "Z37", "position": [15, 15], "step": 188, "ordinal_position": 189}, {"identifier": "J27", "position": [15, 14], "step": 189, "ordinal_position": 190}, {"identifier": "A39", "position": [15, 13], "step": 190, "ordinal_position": 191}, {"identifier": "A63", "position": [16, 13], "step": 191, "ordinal_position": 192}, {"identifier": "G57", "position": [17, 13], "step": 192, "ordinal_position": 193}, {"identifier": "C13", "position": [17, 12], "step": 193, "ordinal_position": 194}, {"identifier": "G84", "position": [17, 11], "step": 194, "ordinal_position": 195}, {"identifier": "Y12", "position": [17, 10], "step": 195, 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"ordinal_position": 208}, {"identifier": "B67", "position": [17, 17], "step": 208, "ordinal_position": 209}, {"identifier": "Z48", "position": [16, 17], "step": 209, "ordinal_position": 210}, {"identifier": "S40", "position": [15, 17], "step": 210, "ordinal_position": 211}, {"identifier": "F61", "position": [14, 17], "step": 211, "ordinal_position": 212}, {"identifier": "X68", "position": [13, 17], "step": 212, "ordinal_position": 213}, {"identifier": "U35", "position": [13, 16], "step": 213, "ordinal_position": 214}, {"identifier": "V35", "position": [13, 15], "step": 214, "ordinal_position": 215}, {"identifier": "V85", "position": [14, 15], "step": 215, "ordinal_position": 216}, {"identifier": "Z37", "position": [15, 15], "step": 216, "ordinal_position": 217}, {"identifier": "J27", "position": [15, 14], "step": 217, "ordinal_position": 218}, {"identifier": "A39", "position": [15, 13], "step": 218, "ordinal_position": 219}, {"identifier": "A63", "position": [16, 13], "step": 219, 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"ordinal_position": 244}, {"identifier": "Z37", "position": [15, 15], "step": 244, "ordinal_position": 245}, {"identifier": "J27", "position": [15, 14], "step": 245, "ordinal_position": 246}, {"identifier": "A39", "position": [15, 13], "step": 246, "ordinal_position": 247}, {"identifier": "A63", "position": [16, 13], "step": 247, "ordinal_position": 248}, {"identifier": "G57", "position": [17, 13], "step": 248, "ordinal_position": 249}, {"identifier": "C13", "position": [17, 12], "step": 249, "ordinal_position": 250}, {"identifier": "G84", "position": [17, 11], "step": 250, "ordinal_position": 251}, {"identifier": "Y12", "position": [17, 10], "step": 251, "ordinal_position": 252}, {"identifier": "M58", "position": [17, 9], "step": 252, "ordinal_position": 253}, {"identifier": "G07", "position": [18, 9], "step": 253, "ordinal_position": 254}, {"identifier": "F87", "position": [19, 9], "step": 254, "ordinal_position": 255}, {"identifier": "E11", "position": [19, 10], "step": 255, "ordinal_position": 256}, {"identifier": "O13", "position": [19, 11], "step": 256, "ordinal_position": 257}, {"identifier": "K60", "position": [19, 12], "step": 257, "ordinal_position": 258}, {"identifier": "P11", "position": [19, 13], "step": 258, "ordinal_position": 259}, {"identifier": "Z12", "position": [19, 14], "step": 259, "ordinal_position": 260}, {"identifier": "C76", "position": [19, 15], "step": 260, "ordinal_position": 261}, {"identifier": "J64", "position": [18, 15], "step": 261, "ordinal_position": 262}, {"identifier": "N92", "position": [17, 15], "step": 262, "ordinal_position": 263}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 263, "direction": "up", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_013.json"}} {"qa_id": "2bb111c981694393863503d5b9f1cc39", "image_id": "L3-MazeLoop-test_21x21_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R81, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 221st position in this traversal?", "start_object_id": "R81", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [221], "ordinal_strings": ["221st"], "ordinal_number_levels": ["L3_high"], "arr_level": 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"position": [7, 11], "step": 24, "ordinal_position": 25}, {"identifier": "V77", "position": [7, 12], "step": 25, "ordinal_position": 26}, {"identifier": "W40", "position": [7, 13], "step": 26, "ordinal_position": 27}, {"identifier": "F13", "position": [6, 13], "step": 27, "ordinal_position": 28}, {"identifier": "K54", "position": [5, 13], "step": 28, "ordinal_position": 29}, {"identifier": "O43", "position": [5, 12], "step": 29, "ordinal_position": 30}, {"identifier": "J98", "position": [5, 11], "step": 30, "ordinal_position": 31}, {"identifier": "U51", "position": [5, 10], "step": 31, "ordinal_position": 32}, {"identifier": "V55", "position": [5, 9], "step": 32, "ordinal_position": 33}, {"identifier": "N66", "position": [5, 8], "step": 33, "ordinal_position": 34}, {"identifier": "E27", "position": [5, 7], "step": 34, "ordinal_position": 35}, {"identifier": "B10", "position": [5, 6], "step": 35, "ordinal_position": 36}, {"identifier": "I77", "position": [5, 5], "step": 36, 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7], "step": 160, "ordinal_position": 161}, {"identifier": "D67", "position": [7, 8], "step": 161, "ordinal_position": 162}, {"identifier": "A52", "position": [7, 9], "step": 162, "ordinal_position": 163}, {"identifier": "X97", "position": [7, 10], "step": 163, "ordinal_position": 164}, {"identifier": "X40", "position": [7, 11], "step": 164, "ordinal_position": 165}, {"identifier": "V77", "position": [7, 12], "step": 165, "ordinal_position": 166}, {"identifier": "W40", "position": [7, 13], "step": 166, "ordinal_position": 167}, {"identifier": "F13", "position": [6, 13], "step": 167, "ordinal_position": 168}, {"identifier": "K54", "position": [5, 13], "step": 168, "ordinal_position": 169}, {"identifier": "O43", "position": [5, 12], "step": 169, "ordinal_position": 170}, {"identifier": "J98", "position": [5, 11], "step": 170, "ordinal_position": 171}, {"identifier": "U51", "position": [5, 10], "step": 171, "ordinal_position": 172}, {"identifier": "V55", "position": [5, 9], "step": 172, "ordinal_position": 173}, {"identifier": "N66", "position": [5, 8], "step": 173, "ordinal_position": 174}, {"identifier": "E27", "position": [5, 7], "step": 174, "ordinal_position": 175}, {"identifier": "B10", "position": [5, 6], "step": 175, "ordinal_position": 176}, {"identifier": "I77", "position": [5, 5], "step": 176, "ordinal_position": 177}, {"identifier": "U10", "position": [6, 5], "step": 177, "ordinal_position": 178}, {"identifier": "T92", "position": [7, 5], "step": 178, "ordinal_position": 179}, {"identifier": "P90", "position": [7, 6], "step": 179, "ordinal_position": 180}, {"identifier": "M21", "position": [7, 7], "step": 180, "ordinal_position": 181}, {"identifier": "D67", "position": [7, 8], "step": 181, "ordinal_position": 182}, {"identifier": "A52", "position": [7, 9], "step": 182, "ordinal_position": 183}, {"identifier": "X97", "position": [7, 10], "step": 183, "ordinal_position": 184}, {"identifier": "X40", "position": [7, 11], "step": 184, "ordinal_position": 185}, {"identifier": "V77", "position": [7, 12], "step": 185, "ordinal_position": 186}, {"identifier": "W40", "position": [7, 13], "step": 186, "ordinal_position": 187}, {"identifier": "F13", "position": [6, 13], "step": 187, "ordinal_position": 188}, {"identifier": "K54", "position": [5, 13], "step": 188, "ordinal_position": 189}, {"identifier": "O43", "position": [5, 12], "step": 189, "ordinal_position": 190}, {"identifier": "J98", "position": [5, 11], "step": 190, "ordinal_position": 191}, {"identifier": "U51", "position": [5, 10], "step": 191, "ordinal_position": 192}, {"identifier": "V55", "position": [5, 9], "step": 192, "ordinal_position": 193}, {"identifier": "N66", "position": [5, 8], "step": 193, "ordinal_position": 194}, {"identifier": "E27", "position": [5, 7], "step": 194, "ordinal_position": 195}, {"identifier": "B10", "position": [5, 6], "step": 195, "ordinal_position": 196}, {"identifier": "I77", "position": [5, 5], "step": 196, "ordinal_position": 197}, {"identifier": "U10", "position": [6, 5], "step": 197, "ordinal_position": 198}, {"identifier": "T92", "position": [7, 5], "step": 198, "ordinal_position": 199}, {"identifier": "P90", "position": [7, 6], "step": 199, "ordinal_position": 200}, {"identifier": "M21", "position": [7, 7], "step": 200, "ordinal_position": 201}, {"identifier": "D67", "position": [7, 8], "step": 201, "ordinal_position": 202}, {"identifier": "A52", "position": [7, 9], "step": 202, "ordinal_position": 203}, {"identifier": "X97", "position": [7, 10], "step": 203, "ordinal_position": 204}, {"identifier": "X40", "position": [7, 11], "step": 204, "ordinal_position": 205}, {"identifier": "V77", "position": [7, 12], "step": 205, "ordinal_position": 206}, {"identifier": "W40", "position": [7, 13], "step": 206, "ordinal_position": 207}, {"identifier": "F13", "position": [6, 13], "step": 207, "ordinal_position": 208}, {"identifier": "K54", "position": [5, 13], "step": 208, "ordinal_position": 209}, {"identifier": "O43", "position": [5, 12], "step": 209, "ordinal_position": 210}, {"identifier": "J98", "position": [5, 11], "step": 210, "ordinal_position": 211}, {"identifier": "U51", "position": [5, 10], "step": 211, "ordinal_position": 212}, {"identifier": "V55", "position": [5, 9], "step": 212, "ordinal_position": 213}, {"identifier": "N66", "position": [5, 8], "step": 213, "ordinal_position": 214}, {"identifier": "E27", "position": [5, 7], "step": 214, "ordinal_position": 215}, {"identifier": "B10", "position": [5, 6], "step": 215, "ordinal_position": 216}, {"identifier": "I77", "position": [5, 5], "step": 216, "ordinal_position": 217}, {"identifier": "U10", "position": [6, 5], "step": 217, "ordinal_position": 218}, {"identifier": "T92", "position": [7, 5], "step": 218, "ordinal_position": 219}, {"identifier": "P90", "position": [7, 6], "step": 219, "ordinal_position": 220}, {"identifier": "M21", "position": [7, 7], "step": 220, "ordinal_position": 221}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 221, "direction": "up", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_013.json"}} {"qa_id": "6bf88e81f88f4f7690402b44333e355a", "image_id": "L3-MazeLoop-test_21x21_013", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G82, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 184th position in this traversal?", "start_object_id": "G82", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [184], "ordinal_strings": ["184th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M21", "traversal_path": [{"identifier": "G82", "position": [7, 4], "step": 0, "ordinal_position": 1}, {"identifier": "T92", "position": [7, 5], "step": 1, "ordinal_position": 2}, {"identifier": "P90", "position": [7, 6], "step": 2, "ordinal_position": 3}, {"identifier": "M21", "position": [7, 7], "step": 3, "ordinal_position": 4}, {"identifier": "D67", "position": [7, 8], "step": 4, "ordinal_position": 5}, {"identifier": "A52", "position": [7, 9], "step": 5, "ordinal_position": 6}, {"identifier": "X97", "position": [7, 10], "step": 6, "ordinal_position": 7}, {"identifier": "X40", "position": [7, 11], "step": 7, "ordinal_position": 8}, {"identifier": "V77", "position": [7, 12], "step": 8, "ordinal_position": 9}, {"identifier": "W40", "position": [7, 13], "step": 9, "ordinal_position": 10}, {"identifier": "F13", "position": [6, 13], "step": 10, "ordinal_position": 11}, {"identifier": "K54", "position": [5, 13], "step": 11, "ordinal_position": 12}, {"identifier": "O43", "position": [5, 12], "step": 12, "ordinal_position": 13}, {"identifier": "J98", "position": [5, 11], "step": 13, "ordinal_position": 14}, {"identifier": "U51", "position": [5, 10], "step": 14, "ordinal_position": 15}, {"identifier": "V55", "position": [5, 9], "step": 15, "ordinal_position": 16}, {"identifier": "N66", "position": [5, 8], "step": 16, "ordinal_position": 17}, {"identifier": "E27", "position": [5, 7], "step": 17, "ordinal_position": 18}, {"identifier": "B10", "position": [5, 6], "step": 18, "ordinal_position": 19}, {"identifier": "I77", "position": [5, 5], "step": 19, "ordinal_position": 20}, {"identifier": "U10", "position": [6, 5], "step": 20, "ordinal_position": 21}, {"identifier": "T92", "position": [7, 5], "step": 21, "ordinal_position": 22}, {"identifier": "P90", "position": [7, 6], "step": 22, "ordinal_position": 23}, {"identifier": "M21", "position": [7, 7], "step": 23, "ordinal_position": 24}, {"identifier": "D67", "position": [7, 8], "step": 24, "ordinal_position": 25}, {"identifier": "A52", "position": [7, 9], "step": 25, "ordinal_position": 26}, {"identifier": "X97", "position": [7, 10], "step": 26, "ordinal_position": 27}, {"identifier": "X40", "position": [7, 11], "step": 27, "ordinal_position": 28}, {"identifier": "V77", "position": [7, 12], "step": 28, "ordinal_position": 29}, {"identifier": "W40", "position": [7, 13], "step": 29, "ordinal_position": 30}, {"identifier": "F13", "position": [6, 13], "step": 30, "ordinal_position": 31}, {"identifier": "K54", "position": [5, 13], "step": 31, "ordinal_position": 32}, {"identifier": "O43", "position": [5, 12], "step": 32, "ordinal_position": 33}, {"identifier": "J98", "position": [5, 11], "step": 33, "ordinal_position": 34}, {"identifier": "U51", "position": [5, 10], "step": 34, "ordinal_position": 35}, {"identifier": "V55", "position": [5, 9], "step": 35, "ordinal_position": 36}, {"identifier": "N66", "position": [5, 8], "step": 36, "ordinal_position": 37}, {"identifier": "E27", "position": [5, 7], "step": 37, "ordinal_position": 38}, {"identifier": "B10", "position": [5, 6], "step": 38, "ordinal_position": 39}, {"identifier": "I77", "position": [5, 5], "step": 39, "ordinal_position": 40}, {"identifier": "U10", "position": [6, 5], "step": 40, "ordinal_position": 41}, {"identifier": "T92", "position": [7, 5], "step": 41, "ordinal_position": 42}, {"identifier": "P90", "position": [7, 6], "step": 42, "ordinal_position": 43}, {"identifier": "M21", "position": [7, 7], "step": 43, "ordinal_position": 44}, {"identifier": "D67", "position": [7, 8], "step": 44, "ordinal_position": 45}, {"identifier": "A52", "position": [7, 9], "step": 45, "ordinal_position": 46}, {"identifier": "X97", "position": [7, 10], "step": 46, "ordinal_position": 47}, {"identifier": "X40", "position": [7, 11], "step": 47, "ordinal_position": 48}, {"identifier": "V77", "position": [7, 12], "step": 48, "ordinal_position": 49}, {"identifier": "W40", "position": [7, 13], "step": 49, "ordinal_position": 50}, {"identifier": "F13", "position": [6, 13], "step": 50, "ordinal_position": 51}, {"identifier": "K54", "position": [5, 13], "step": 51, "ordinal_position": 52}, {"identifier": "O43", "position": [5, 12], "step": 52, "ordinal_position": 53}, {"identifier": "J98", "position": [5, 11], "step": 53, "ordinal_position": 54}, {"identifier": "U51", "position": [5, 10], "step": 54, "ordinal_position": 55}, {"identifier": "V55", "position": [5, 9], "step": 55, "ordinal_position": 56}, {"identifier": "N66", "position": [5, 8], "step": 56, "ordinal_position": 57}, {"identifier": "E27", "position": [5, 7], "step": 57, "ordinal_position": 58}, {"identifier": "B10", "position": [5, 6], "step": 58, "ordinal_position": 59}, {"identifier": "I77", "position": [5, 5], "step": 59, "ordinal_position": 60}, {"identifier": "U10", "position": [6, 5], "step": 60, "ordinal_position": 61}, {"identifier": "T92", "position": [7, 5], "step": 61, "ordinal_position": 62}, {"identifier": "P90", "position": [7, 6], "step": 62, "ordinal_position": 63}, {"identifier": "M21", "position": [7, 7], "step": 63, "ordinal_position": 64}, {"identifier": "D67", "position": [7, 8], "step": 64, "ordinal_position": 65}, {"identifier": "A52", "position": [7, 9], "step": 65, "ordinal_position": 66}, {"identifier": "X97", "position": [7, 10], "step": 66, "ordinal_position": 67}, {"identifier": "X40", "position": [7, 11], "step": 67, "ordinal_position": 68}, {"identifier": "V77", "position": [7, 12], "step": 68, "ordinal_position": 69}, {"identifier": "W40", "position": [7, 13], "step": 69, "ordinal_position": 70}, {"identifier": "F13", "position": [6, 13], "step": 70, "ordinal_position": 71}, {"identifier": "K54", "position": [5, 13], "step": 71, "ordinal_position": 72}, {"identifier": "O43", "position": [5, 12], "step": 72, "ordinal_position": 73}, {"identifier": "J98", "position": [5, 11], "step": 73, "ordinal_position": 74}, {"identifier": "U51", "position": [5, 10], "step": 74, "ordinal_position": 75}, {"identifier": "V55", "position": [5, 9], "step": 75, "ordinal_position": 76}, {"identifier": "N66", "position": [5, 8], "step": 76, "ordinal_position": 77}, {"identifier": "E27", "position": [5, 7], "step": 77, "ordinal_position": 78}, {"identifier": "B10", "position": [5, 6], "step": 78, "ordinal_position": 79}, {"identifier": "I77", "position": [5, 5], "step": 79, "ordinal_position": 80}, {"identifier": "U10", "position": [6, 5], "step": 80, "ordinal_position": 81}, {"identifier": "T92", "position": [7, 5], "step": 81, "ordinal_position": 82}, {"identifier": "P90", "position": [7, 6], "step": 82, "ordinal_position": 83}, {"identifier": "M21", "position": [7, 7], "step": 83, "ordinal_position": 84}, {"identifier": "D67", "position": [7, 8], "step": 84, "ordinal_position": 85}, {"identifier": "A52", "position": [7, 9], "step": 85, "ordinal_position": 86}, {"identifier": "X97", "position": [7, 10], "step": 86, "ordinal_position": 87}, {"identifier": "X40", "position": [7, 11], "step": 87, "ordinal_position": 88}, {"identifier": "V77", "position": [7, 12], "step": 88, "ordinal_position": 89}, {"identifier": "W40", "position": [7, 13], "step": 89, "ordinal_position": 90}, {"identifier": "F13", "position": [6, 13], "step": 90, "ordinal_position": 91}, {"identifier": "K54", "position": [5, 13], "step": 91, "ordinal_position": 92}, {"identifier": "O43", "position": [5, 12], "step": 92, "ordinal_position": 93}, {"identifier": "J98", "position": [5, 11], "step": 93, "ordinal_position": 94}, {"identifier": "U51", "position": [5, 10], "step": 94, "ordinal_position": 95}, {"identifier": "V55", "position": [5, 9], "step": 95, "ordinal_position": 96}, {"identifier": "N66", "position": [5, 8], "step": 96, "ordinal_position": 97}, {"identifier": "E27", "position": [5, 7], "step": 97, "ordinal_position": 98}, {"identifier": "B10", "position": [5, 6], "step": 98, "ordinal_position": 99}, {"identifier": "I77", "position": [5, 5], "step": 99, "ordinal_position": 100}, {"identifier": "U10", "position": [6, 5], "step": 100, "ordinal_position": 101}, {"identifier": "T92", "position": [7, 5], "step": 101, "ordinal_position": 102}, {"identifier": "P90", "position": [7, 6], "step": 102, "ordinal_position": 103}, {"identifier": "M21", "position": [7, 7], "step": 103, "ordinal_position": 104}, {"identifier": "D67", "position": [7, 8], "step": 104, "ordinal_position": 105}, {"identifier": "A52", "position": [7, 9], "step": 105, "ordinal_position": 106}, {"identifier": "X97", "position": [7, 10], "step": 106, "ordinal_position": 107}, {"identifier": "X40", "position": [7, 11], "step": 107, "ordinal_position": 108}, {"identifier": "V77", "position": [7, 12], "step": 108, "ordinal_position": 109}, {"identifier": "W40", "position": [7, 13], "step": 109, "ordinal_position": 110}, {"identifier": "F13", "position": [6, 13], "step": 110, "ordinal_position": 111}, {"identifier": "K54", "position": [5, 13], "step": 111, "ordinal_position": 112}, {"identifier": "O43", "position": [5, 12], "step": 112, "ordinal_position": 113}, {"identifier": "J98", "position": [5, 11], "step": 113, "ordinal_position": 114}, {"identifier": "U51", "position": [5, 10], "step": 114, "ordinal_position": 115}, {"identifier": "V55", "position": [5, 9], "step": 115, "ordinal_position": 116}, {"identifier": "N66", "position": [5, 8], "step": 116, "ordinal_position": 117}, {"identifier": "E27", "position": [5, 7], "step": 117, "ordinal_position": 118}, {"identifier": "B10", "position": [5, 6], "step": 118, "ordinal_position": 119}, {"identifier": "I77", "position": [5, 5], "step": 119, "ordinal_position": 120}, {"identifier": "U10", "position": [6, 5], "step": 120, "ordinal_position": 121}, {"identifier": "T92", "position": [7, 5], "step": 121, "ordinal_position": 122}, {"identifier": "P90", "position": [7, 6], "step": 122, "ordinal_position": 123}, {"identifier": "M21", "position": [7, 7], "step": 123, "ordinal_position": 124}, {"identifier": "D67", "position": [7, 8], "step": 124, "ordinal_position": 125}, {"identifier": "A52", "position": [7, 9], "step": 125, "ordinal_position": 126}, {"identifier": "X97", "position": [7, 10], "step": 126, "ordinal_position": 127}, {"identifier": "X40", "position": [7, 11], "step": 127, "ordinal_position": 128}, {"identifier": "V77", "position": [7, 12], "step": 128, "ordinal_position": 129}, {"identifier": "W40", "position": [7, 13], "step": 129, "ordinal_position": 130}, {"identifier": "F13", "position": [6, 13], "step": 130, "ordinal_position": 131}, {"identifier": "K54", "position": [5, 13], "step": 131, "ordinal_position": 132}, {"identifier": "O43", "position": [5, 12], "step": 132, "ordinal_position": 133}, {"identifier": "J98", "position": [5, 11], "step": 133, "ordinal_position": 134}, {"identifier": "U51", "position": [5, 10], "step": 134, "ordinal_position": 135}, {"identifier": "V55", "position": [5, 9], "step": 135, "ordinal_position": 136}, {"identifier": "N66", "position": [5, 8], "step": 136, "ordinal_position": 137}, {"identifier": "E27", "position": [5, 7], "step": 137, "ordinal_position": 138}, {"identifier": "B10", "position": [5, 6], "step": 138, "ordinal_position": 139}, {"identifier": "I77", "position": [5, 5], "step": 139, "ordinal_position": 140}, {"identifier": "U10", "position": [6, 5], "step": 140, "ordinal_position": 141}, {"identifier": "T92", "position": [7, 5], "step": 141, "ordinal_position": 142}, {"identifier": "P90", "position": [7, 6], "step": 142, "ordinal_position": 143}, {"identifier": "M21", "position": [7, 7], "step": 143, "ordinal_position": 144}, {"identifier": "D67", "position": [7, 8], "step": 144, "ordinal_position": 145}, {"identifier": "A52", "position": [7, 9], "step": 145, "ordinal_position": 146}, {"identifier": "X97", "position": [7, 10], "step": 146, "ordinal_position": 147}, {"identifier": "X40", "position": [7, 11], "step": 147, "ordinal_position": 148}, {"identifier": "V77", "position": [7, 12], "step": 148, "ordinal_position": 149}, {"identifier": "W40", "position": [7, 13], "step": 149, "ordinal_position": 150}, {"identifier": "F13", "position": [6, 13], "step": 150, "ordinal_position": 151}, {"identifier": "K54", "position": [5, 13], "step": 151, "ordinal_position": 152}, {"identifier": "O43", "position": [5, 12], "step": 152, "ordinal_position": 153}, {"identifier": "J98", "position": [5, 11], "step": 153, "ordinal_position": 154}, {"identifier": "U51", "position": [5, 10], "step": 154, "ordinal_position": 155}, {"identifier": "V55", "position": [5, 9], "step": 155, "ordinal_position": 156}, {"identifier": "N66", "position": [5, 8], "step": 156, "ordinal_position": 157}, {"identifier": "E27", "position": [5, 7], "step": 157, "ordinal_position": 158}, {"identifier": "B10", "position": [5, 6], "step": 158, "ordinal_position": 159}, {"identifier": "I77", "position": [5, 5], "step": 159, "ordinal_position": 160}, {"identifier": "U10", "position": [6, 5], "step": 160, "ordinal_position": 161}, {"identifier": "T92", "position": [7, 5], "step": 161, "ordinal_position": 162}, {"identifier": "P90", "position": [7, 6], "step": 162, "ordinal_position": 163}, {"identifier": "M21", "position": [7, 7], "step": 163, "ordinal_position": 164}, {"identifier": "D67", "position": [7, 8], "step": 164, "ordinal_position": 165}, {"identifier": "A52", "position": [7, 9], "step": 165, "ordinal_position": 166}, {"identifier": "X97", "position": [7, 10], "step": 166, "ordinal_position": 167}, {"identifier": "X40", "position": [7, 11], "step": 167, "ordinal_position": 168}, {"identifier": "V77", "position": [7, 12], "step": 168, "ordinal_position": 169}, {"identifier": "W40", "position": [7, 13], "step": 169, "ordinal_position": 170}, {"identifier": "F13", "position": [6, 13], "step": 170, "ordinal_position": 171}, {"identifier": "K54", "position": [5, 13], "step": 171, "ordinal_position": 172}, {"identifier": "O43", "position": [5, 12], "step": 172, "ordinal_position": 173}, {"identifier": "J98", "position": [5, 11], "step": 173, "ordinal_position": 174}, {"identifier": "U51", "position": [5, 10], "step": 174, "ordinal_position": 175}, {"identifier": "V55", "position": [5, 9], "step": 175, "ordinal_position": 176}, {"identifier": "N66", "position": [5, 8], "step": 176, "ordinal_position": 177}, {"identifier": "E27", "position": [5, 7], "step": 177, "ordinal_position": 178}, {"identifier": "B10", "position": [5, 6], "step": 178, "ordinal_position": 179}, {"identifier": "I77", "position": [5, 5], "step": 179, "ordinal_position": 180}, {"identifier": "U10", "position": [6, 5], "step": 180, "ordinal_position": 181}, {"identifier": "T92", "position": [7, 5], "step": 181, "ordinal_position": 182}, {"identifier": "P90", "position": [7, 6], "step": 182, "ordinal_position": 183}, {"identifier": "M21", "position": [7, 7], "step": 183, "ordinal_position": 184}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 184, "direction": "down", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_013.json"}} {"qa_id": "133f8fea07c044109d41cd837ccc8d3a", "image_id": "L3-MazeLoop-test_21x21_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Y72, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "Y72", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "E62", "traversal_path": [{"identifier": "Y72", "position": [2, 17], "step": 0, "ordinal_position": 1}, {"identifier": "E62", "position": [1, 17], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 2, "direction": "left", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_014.json"}} {"qa_id": "6a9b05b4ab17432a8f4bbdef6f9872e5", "image_id": "L3-MazeLoop-test_21x21_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E52, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "E52", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "T53", "traversal_path": [{"identifier": "E52", "position": [5, 11], "step": 0, "ordinal_position": 1}, {"identifier": "H99", "position": [4, 11], "step": 1, "ordinal_position": 2}, {"identifier": "B83", "position": [3, 11], "step": 2, "ordinal_position": 3}, {"identifier": "N21", "position": [2, 11], "step": 3, "ordinal_position": 4}, {"identifier": "G31", "position": [1, 11], "step": 4, "ordinal_position": 5}, {"identifier": "T53", "position": [1, 10], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 6, "direction": "left", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_014.json"}} {"qa_id": "c9e61e40b0ad4092ad334e8e08be9bd3", "image_id": "L3-MazeLoop-test_21x21_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O89, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 12th position in this traversal?", "start_object_id": "O89", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [12], "ordinal_strings": ["12th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "L54", "traversal_path": [{"identifier": "O89", "position": [8, 3], "step": 0, "ordinal_position": 1}, {"identifier": "P88", "position": [9, 3], "step": 1, "ordinal_position": 2}, {"identifier": "A19", "position": [9, 2], "step": 2, "ordinal_position": 3}, {"identifier": "E68", "position": [9, 1], "step": 3, "ordinal_position": 4}, {"identifier": "H52", "position": [10, 1], "step": 4, "ordinal_position": 5}, {"identifier": "F60", "position": [11, 1], "step": 5, "ordinal_position": 6}, {"identifier": "L11", "position": [12, 1], "step": 6, "ordinal_position": 7}, {"identifier": "F05", "position": [13, 1], "step": 7, "ordinal_position": 8}, {"identifier": "F38", "position": [13, 2], "step": 8, "ordinal_position": 9}, {"identifier": "J65", "position": [13, 3], "step": 9, "ordinal_position": 10}, {"identifier": "R36", "position": [14, 3], "step": 10, "ordinal_position": 11}, {"identifier": "L54", "position": [15, 3], "step": 11, "ordinal_position": 12}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 12, "direction": "right", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_014.json"}} {"qa_id": "33f0a6237546427e97032ca52a8e4fdd", "image_id": "L3-MazeLoop-test_21x21_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N21, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "N21", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "B95", "traversal_path": [{"identifier": "N21", "position": [2, 11], "step": 0, "ordinal_position": 1}, {"identifier": "G31", "position": [1, 11], "step": 1, "ordinal_position": 2}, {"identifier": "B95", "position": [1, 12], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 3, "direction": "left", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_014.json"}} {"qa_id": "f20bfeaed4ae4665a65a402bcb940c19", "image_id": "L3-MazeLoop-test_21x21_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S09, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "S09", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "D96", "traversal_path": [{"identifier": "S09", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "D96", "position": [2, 1], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 2, "direction": "left", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_014.json"}} {"qa_id": "c2dd9f35bc63448e8e7e8abf498644e1", "image_id": "L3-MazeLoop-test_21x21_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q65, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 60th position in this traversal?", "start_object_id": "Q65", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [60], "ordinal_strings": ["60th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "F38", "traversal_path": [{"identifier": "Q65", "position": [15, 11], "step": 0, "ordinal_position": 1}, {"identifier": "W79", "position": [16, 11], "step": 1, "ordinal_position": 2}, {"identifier": "N92", "position": [17, 11], "step": 2, "ordinal_position": 3}, {"identifier": "J21", "position": [17, 10], "step": 3, "ordinal_position": 4}, {"identifier": "U28", "position": [17, 9], "step": 4, "ordinal_position": 5}, {"identifier": "U97", "position": [17, 8], "step": 5, "ordinal_position": 6}, {"identifier": "S87", "position": [17, 7], "step": 6, "ordinal_position": 7}, {"identifier": "B04", "position": [17, 6], "step": 7, "ordinal_position": 8}, {"identifier": "O90", "position": [17, 5], "step": 8, "ordinal_position": 9}, {"identifier": "D70", "position": [17, 4], "step": 9, "ordinal_position": 10}, {"identifier": "S13", "position": [17, 3], "step": 10, "ordinal_position": 11}, {"identifier": "G13", "position": [18, 3], "step": 11, "ordinal_position": 12}, {"identifier": "C42", "position": [19, 3], "step": 12, "ordinal_position": 13}, {"identifier": "V37", "position": [19, 2], "step": 13, "ordinal_position": 14}, {"identifier": "M01", "position": [19, 1], "step": 14, "ordinal_position": 15}, {"identifier": "E57", "position": [18, 1], "step": 15, "ordinal_position": 16}, {"identifier": "M73", "position": [17, 1], "step": 16, "ordinal_position": 17}, {"identifier": "O67", "position": [16, 1], "step": 17, "ordinal_position": 18}, {"identifier": "I93", "position": [15, 1], "step": 18, "ordinal_position": 19}, {"identifier": "C27", "position": [15, 2], "step": 19, "ordinal_position": 20}, {"identifier": "L54", "position": [15, 3], "step": 20, "ordinal_position": 21}, {"identifier": "R36", "position": [14, 3], "step": 21, "ordinal_position": 22}, {"identifier": "J65", "position": [13, 3], "step": 22, "ordinal_position": 23}, {"identifier": "F38", "position": [13, 2], "step": 23, "ordinal_position": 24}, {"identifier": "F05", "position": [13, 1], "step": 24, "ordinal_position": 25}, {"identifier": "L11", "position": [12, 1], "step": 25, "ordinal_position": 26}, {"identifier": "F60", "position": [11, 1], "step": 26, "ordinal_position": 27}, {"identifier": "H52", "position": [10, 1], "step": 27, "ordinal_position": 28}, {"identifier": "E68", "position": [9, 1], "step": 28, "ordinal_position": 29}, {"identifier": "A19", "position": [9, 2], "step": 29, "ordinal_position": 30}, {"identifier": "P88", "position": [9, 3], "step": 30, "ordinal_position": 31}, {"identifier": "O89", "position": [8, 3], "step": 31, "ordinal_position": 32}, {"identifier": "V34", "position": [7, 3], "step": 32, "ordinal_position": 33}, {"identifier": "E59", "position": [7, 4], "step": 33, "ordinal_position": 34}, {"identifier": "Y67", "position": [7, 5], "step": 34, "ordinal_position": 35}, {"identifier": "C05", "position": [8, 5], "step": 35, "ordinal_position": 36}, {"identifier": "H03", "position": [9, 5], "step": 36, "ordinal_position": 37}, {"identifier": "U39", "position": [10, 5], "step": 37, "ordinal_position": 38}, {"identifier": "W86", "position": [11, 5], "step": 38, "ordinal_position": 39}, {"identifier": "J34", "position": [12, 5], "step": 39, "ordinal_position": 40}, {"identifier": "Y73", "position": [13, 5], "step": 40, "ordinal_position": 41}, {"identifier": "V83", "position": [14, 5], "step": 41, "ordinal_position": 42}, {"identifier": "Y97", "position": [15, 5], "step": 42, "ordinal_position": 43}, {"identifier": "M13", "position": [16, 5], "step": 43, "ordinal_position": 44}, {"identifier": "O90", "position": [17, 5], "step": 44, "ordinal_position": 45}, {"identifier": "D70", "position": [17, 4], "step": 45, "ordinal_position": 46}, {"identifier": "S13", "position": [17, 3], "step": 46, "ordinal_position": 47}, {"identifier": "G13", "position": [18, 3], "step": 47, "ordinal_position": 48}, {"identifier": "C42", "position": [19, 3], "step": 48, "ordinal_position": 49}, {"identifier": "V37", "position": [19, 2], "step": 49, "ordinal_position": 50}, {"identifier": "M01", "position": [19, 1], "step": 50, "ordinal_position": 51}, {"identifier": "E57", "position": [18, 1], "step": 51, "ordinal_position": 52}, {"identifier": "M73", "position": [17, 1], "step": 52, "ordinal_position": 53}, {"identifier": "O67", "position": [16, 1], "step": 53, "ordinal_position": 54}, {"identifier": "I93", "position": [15, 1], "step": 54, "ordinal_position": 55}, {"identifier": "C27", "position": [15, 2], "step": 55, "ordinal_position": 56}, {"identifier": "L54", "position": [15, 3], "step": 56, "ordinal_position": 57}, {"identifier": "R36", "position": [14, 3], "step": 57, "ordinal_position": 58}, {"identifier": "J65", "position": [13, 3], "step": 58, "ordinal_position": 59}, {"identifier": "F38", "position": [13, 2], "step": 59, "ordinal_position": 60}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 60, "direction": "right", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_014.json"}} {"qa_id": "aa8db6f4d12a40eab9b7de88415dbb66", "image_id": "L3-MazeLoop-test_21x21_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P42, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 81st position in this traversal?", "start_object_id": "P42", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [81], "ordinal_strings": ["81st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "G13", "traversal_path": [{"identifier": "P42", "position": [1, 18], "step": 0, "ordinal_position": 1}, {"identifier": "E62", "position": [1, 17], "step": 1, "ordinal_position": 2}, {"identifier": "N65", "position": [1, 16], "step": 2, "ordinal_position": 3}, {"identifier": "A62", "position": [1, 15], "step": 3, "ordinal_position": 4}, {"identifier": "W75", "position": [2, 15], "step": 4, "ordinal_position": 5}, {"identifier": "B89", "position": [3, 15], "step": 5, "ordinal_position": 6}, {"identifier": "V86", "position": [3, 14], "step": 6, "ordinal_position": 7}, {"identifier": "C53", "position": [3, 13], "step": 7, "ordinal_position": 8}, {"identifier": "U81", "position": [2, 13], "step": 8, "ordinal_position": 9}, {"identifier": "C72", "position": [1, 13], "step": 9, "ordinal_position": 10}, {"identifier": "B95", "position": [1, 12], "step": 10, "ordinal_position": 11}, {"identifier": "G31", "position": [1, 11], "step": 11, "ordinal_position": 12}, {"identifier": "T53", "position": [1, 10], "step": 12, "ordinal_position": 13}, {"identifier": "I17", "position": [1, 9], "step": 13, "ordinal_position": 14}, {"identifier": "H98", "position": [1, 8], "step": 14, "ordinal_position": 15}, {"identifier": "Y08", "position": [1, 7], "step": 15, "ordinal_position": 16}, {"identifier": "C04", "position": [1, 6], "step": 16, "ordinal_position": 17}, {"identifier": "O39", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "H19", "position": [1, 4], "step": 18, "ordinal_position": 19}, {"identifier": "G00", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "L52", "position": [1, 2], "step": 20, "ordinal_position": 21}, {"identifier": "C85", "position": [1, 1], "step": 21, "ordinal_position": 22}, {"identifier": "D96", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "S09", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "R95", "position": [4, 1], "step": 24, "ordinal_position": 25}, {"identifier": "P75", "position": [5, 1], "step": 25, "ordinal_position": 26}, {"identifier": "T49", "position": [6, 1], "step": 26, "ordinal_position": 27}, {"identifier": "C80", "position": [7, 1], "step": 27, "ordinal_position": 28}, {"identifier": "X67", "position": [7, 2], "step": 28, "ordinal_position": 29}, {"identifier": "V34", "position": [7, 3], "step": 29, "ordinal_position": 30}, {"identifier": "E59", "position": [7, 4], "step": 30, "ordinal_position": 31}, {"identifier": "Y67", "position": [7, 5], "step": 31, "ordinal_position": 32}, {"identifier": "C05", "position": [8, 5], "step": 32, "ordinal_position": 33}, {"identifier": "H03", "position": [9, 5], "step": 33, "ordinal_position": 34}, {"identifier": "U39", "position": [10, 5], "step": 34, "ordinal_position": 35}, {"identifier": "W86", "position": [11, 5], "step": 35, "ordinal_position": 36}, {"identifier": "J34", "position": [12, 5], "step": 36, "ordinal_position": 37}, {"identifier": "Y73", "position": [13, 5], "step": 37, "ordinal_position": 38}, {"identifier": "V83", "position": [14, 5], "step": 38, "ordinal_position": 39}, {"identifier": "Y97", "position": [15, 5], "step": 39, "ordinal_position": 40}, {"identifier": "M13", "position": [16, 5], "step": 40, "ordinal_position": 41}, {"identifier": "O90", "position": [17, 5], "step": 41, "ordinal_position": 42}, {"identifier": "D70", "position": [17, 4], "step": 42, "ordinal_position": 43}, {"identifier": "S13", "position": [17, 3], "step": 43, "ordinal_position": 44}, {"identifier": "G13", "position": [18, 3], "step": 44, "ordinal_position": 45}, {"identifier": "C42", "position": [19, 3], "step": 45, "ordinal_position": 46}, {"identifier": "V37", "position": [19, 2], "step": 46, "ordinal_position": 47}, {"identifier": "M01", "position": [19, 1], "step": 47, "ordinal_position": 48}, {"identifier": "E57", "position": [18, 1], "step": 48, "ordinal_position": 49}, {"identifier": "M73", "position": [17, 1], "step": 49, "ordinal_position": 50}, {"identifier": "O67", "position": [16, 1], "step": 50, "ordinal_position": 51}, {"identifier": "I93", "position": [15, 1], "step": 51, "ordinal_position": 52}, {"identifier": "C27", "position": [15, 2], "step": 52, "ordinal_position": 53}, {"identifier": "L54", "position": [15, 3], "step": 53, "ordinal_position": 54}, {"identifier": "R36", "position": [14, 3], "step": 54, "ordinal_position": 55}, {"identifier": "J65", "position": [13, 3], "step": 55, "ordinal_position": 56}, {"identifier": "F38", "position": [13, 2], "step": 56, "ordinal_position": 57}, {"identifier": "F05", "position": [13, 1], "step": 57, "ordinal_position": 58}, {"identifier": "L11", "position": [12, 1], "step": 58, "ordinal_position": 59}, {"identifier": "F60", "position": [11, 1], "step": 59, "ordinal_position": 60}, {"identifier": "H52", "position": [10, 1], "step": 60, "ordinal_position": 61}, {"identifier": "E68", "position": [9, 1], "step": 61, "ordinal_position": 62}, {"identifier": "A19", "position": [9, 2], "step": 62, "ordinal_position": 63}, {"identifier": "P88", "position": [9, 3], "step": 63, "ordinal_position": 64}, {"identifier": "O89", "position": [8, 3], "step": 64, "ordinal_position": 65}, {"identifier": "V34", "position": [7, 3], "step": 65, "ordinal_position": 66}, {"identifier": "E59", "position": [7, 4], "step": 66, "ordinal_position": 67}, {"identifier": "Y67", "position": [7, 5], "step": 67, "ordinal_position": 68}, {"identifier": "C05", "position": [8, 5], "step": 68, "ordinal_position": 69}, {"identifier": "H03", "position": [9, 5], "step": 69, "ordinal_position": 70}, {"identifier": "U39", "position": [10, 5], "step": 70, "ordinal_position": 71}, {"identifier": "W86", "position": [11, 5], "step": 71, "ordinal_position": 72}, {"identifier": "J34", "position": [12, 5], "step": 72, "ordinal_position": 73}, {"identifier": "Y73", "position": [13, 5], "step": 73, "ordinal_position": 74}, {"identifier": "V83", "position": [14, 5], "step": 74, "ordinal_position": 75}, {"identifier": "Y97", "position": [15, 5], "step": 75, "ordinal_position": 76}, {"identifier": "M13", "position": [16, 5], "step": 76, "ordinal_position": 77}, {"identifier": "O90", "position": [17, 5], "step": 77, "ordinal_position": 78}, {"identifier": "D70", "position": [17, 4], "step": 78, "ordinal_position": 79}, {"identifier": "S13", "position": [17, 3], "step": 79, "ordinal_position": 80}, {"identifier": "G13", "position": [18, 3], "step": 80, "ordinal_position": 81}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 81, "direction": "up", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_014.json"}} {"qa_id": "af1cc917736240c2ba2c72c625a38a5d", "image_id": "L3-MazeLoop-test_21x21_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K89, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 81st position in this traversal?", "start_object_id": "K89", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [81], "ordinal_strings": ["81st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "J21", "traversal_path": [{"identifier": "K89", "position": [12, 11], "step": 0, "ordinal_position": 1}, {"identifier": "S24", "position": [13, 11], "step": 1, "ordinal_position": 2}, {"identifier": "W46", "position": [13, 12], "step": 2, "ordinal_position": 3}, {"identifier": "O47", "position": [13, 13], "step": 3, "ordinal_position": 4}, {"identifier": "V63", "position": [14, 13], "step": 4, "ordinal_position": 5}, {"identifier": "T24", "position": [15, 13], "step": 5, "ordinal_position": 6}, {"identifier": "P66", "position": [16, 13], "step": 6, "ordinal_position": 7}, {"identifier": "W33", "position": [17, 13], "step": 7, "ordinal_position": 8}, {"identifier": "F45", "position": [17, 14], "step": 8, "ordinal_position": 9}, {"identifier": "I41", "position": [17, 15], "step": 9, "ordinal_position": 10}, {"identifier": "Y30", "position": [17, 16], "step": 10, "ordinal_position": 11}, {"identifier": "Y12", "position": [17, 17], "step": 11, "ordinal_position": 12}, {"identifier": "X92", "position": [18, 17], "step": 12, "ordinal_position": 13}, {"identifier": "Y38", "position": [19, 17], "step": 13, "ordinal_position": 14}, {"identifier": "B14", "position": [19, 18], "step": 14, "ordinal_position": 15}, {"identifier": "D14", "position": [19, 19], "step": 15, "ordinal_position": 16}, {"identifier": "D69", "position": [18, 19], "step": 16, "ordinal_position": 17}, {"identifier": "C79", "position": [17, 19], "step": 17, "ordinal_position": 18}, {"identifier": "Y63", "position": [16, 19], "step": 18, "ordinal_position": 19}, {"identifier": "Y34", "position": [15, 19], "step": 19, "ordinal_position": 20}, {"identifier": "E39", "position": [14, 19], "step": 20, "ordinal_position": 21}, {"identifier": "R46", "position": [13, 19], "step": 21, "ordinal_position": 22}, {"identifier": "Q49", "position": [12, 19], "step": 22, "ordinal_position": 23}, {"identifier": "M11", "position": [11, 19], "step": 23, "ordinal_position": 24}, {"identifier": "U77", "position": [10, 19], "step": 24, "ordinal_position": 25}, {"identifier": "X20", "position": [9, 19], "step": 25, "ordinal_position": 26}, {"identifier": "P89", "position": [8, 19], "step": 26, "ordinal_position": 27}, {"identifier": "Z60", "position": [7, 19], "step": 27, "ordinal_position": 28}, {"identifier": "A97", "position": [6, 19], "step": 28, "ordinal_position": 29}, {"identifier": "M66", "position": [5, 19], "step": 29, "ordinal_position": 30}, {"identifier": "F47", "position": [5, 18], "step": 30, "ordinal_position": 31}, {"identifier": "M30", "position": [5, 17], "step": 31, "ordinal_position": 32}, {"identifier": "O97", "position": [4, 17], "step": 32, "ordinal_position": 33}, {"identifier": "H76", "position": [3, 17], "step": 33, "ordinal_position": 34}, {"identifier": "Y72", "position": [2, 17], "step": 34, "ordinal_position": 35}, {"identifier": "E62", "position": [1, 17], "step": 35, "ordinal_position": 36}, {"identifier": "N65", "position": [1, 16], "step": 36, "ordinal_position": 37}, {"identifier": "A62", "position": [1, 15], "step": 37, "ordinal_position": 38}, {"identifier": "W75", "position": [2, 15], "step": 38, "ordinal_position": 39}, {"identifier": "B89", "position": [3, 15], "step": 39, "ordinal_position": 40}, {"identifier": "V86", "position": [3, 14], "step": 40, "ordinal_position": 41}, {"identifier": "C53", "position": [3, 13], "step": 41, "ordinal_position": 42}, {"identifier": "U81", "position": [2, 13], "step": 42, "ordinal_position": 43}, {"identifier": "C72", "position": [1, 13], "step": 43, "ordinal_position": 44}, {"identifier": "B95", "position": [1, 12], "step": 44, "ordinal_position": 45}, {"identifier": "G31", "position": [1, 11], "step": 45, "ordinal_position": 46}, {"identifier": "T53", "position": [1, 10], "step": 46, "ordinal_position": 47}, {"identifier": "I17", "position": [1, 9], "step": 47, "ordinal_position": 48}, {"identifier": "H98", "position": [1, 8], "step": 48, "ordinal_position": 49}, {"identifier": "Y08", "position": [1, 7], "step": 49, "ordinal_position": 50}, {"identifier": "C04", "position": [1, 6], "step": 50, "ordinal_position": 51}, {"identifier": "O39", "position": [1, 5], "step": 51, "ordinal_position": 52}, {"identifier": "H19", "position": [1, 4], "step": 52, "ordinal_position": 53}, {"identifier": "G00", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "L52", "position": [1, 2], "step": 54, "ordinal_position": 55}, {"identifier": "C85", "position": [1, 1], "step": 55, "ordinal_position": 56}, {"identifier": "D96", "position": [2, 1], "step": 56, "ordinal_position": 57}, {"identifier": "S09", "position": [3, 1], "step": 57, "ordinal_position": 58}, {"identifier": "R95", "position": [4, 1], "step": 58, "ordinal_position": 59}, {"identifier": "P75", "position": [5, 1], "step": 59, "ordinal_position": 60}, {"identifier": "T49", "position": [6, 1], "step": 60, "ordinal_position": 61}, {"identifier": "C80", "position": [7, 1], "step": 61, "ordinal_position": 62}, {"identifier": "X67", "position": [7, 2], "step": 62, "ordinal_position": 63}, {"identifier": "V34", "position": [7, 3], "step": 63, "ordinal_position": 64}, {"identifier": "E59", "position": [7, 4], "step": 64, "ordinal_position": 65}, {"identifier": "Y67", "position": [7, 5], "step": 65, "ordinal_position": 66}, {"identifier": "C05", "position": [8, 5], "step": 66, "ordinal_position": 67}, {"identifier": "H03", "position": [9, 5], "step": 67, "ordinal_position": 68}, {"identifier": "U39", "position": [10, 5], "step": 68, "ordinal_position": 69}, {"identifier": "W86", "position": [11, 5], "step": 69, "ordinal_position": 70}, {"identifier": "J34", "position": [12, 5], "step": 70, "ordinal_position": 71}, {"identifier": "Y73", "position": [13, 5], "step": 71, "ordinal_position": 72}, {"identifier": "V83", "position": [14, 5], "step": 72, "ordinal_position": 73}, {"identifier": "Y97", "position": [15, 5], "step": 73, "ordinal_position": 74}, {"identifier": "M13", "position": [16, 5], "step": 74, "ordinal_position": 75}, {"identifier": "O90", "position": [17, 5], "step": 75, "ordinal_position": 76}, {"identifier": "B04", "position": [17, 6], "step": 76, "ordinal_position": 77}, {"identifier": "S87", "position": [17, 7], "step": 77, "ordinal_position": 78}, {"identifier": "U97", "position": [17, 8], "step": 78, "ordinal_position": 79}, {"identifier": "U28", "position": [17, 9], "step": 79, "ordinal_position": 80}, {"identifier": "J21", "position": [17, 10], "step": 80, "ordinal_position": 81}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 81, "direction": "right", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_014.json"}} {"qa_id": "4ba3893e8b06450fa97a6f0ed6320ba0", "image_id": "L3-MazeLoop-test_21x21_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M30, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 88th position in this traversal?", "start_object_id": "M30", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [88], "ordinal_strings": ["88th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "O89", "traversal_path": [{"identifier": "M30", "position": [5, 17], "step": 0, "ordinal_position": 1}, {"identifier": "F47", "position": [5, 18], "step": 1, "ordinal_position": 2}, {"identifier": "M66", "position": [5, 19], "step": 2, "ordinal_position": 3}, {"identifier": "A97", "position": [6, 19], "step": 3, "ordinal_position": 4}, {"identifier": "Z60", "position": [7, 19], "step": 4, "ordinal_position": 5}, {"identifier": "P89", "position": [8, 19], "step": 5, "ordinal_position": 6}, {"identifier": "X20", "position": [9, 19], "step": 6, "ordinal_position": 7}, {"identifier": "U77", "position": [10, 19], "step": 7, "ordinal_position": 8}, {"identifier": "M11", "position": [11, 19], "step": 8, "ordinal_position": 9}, {"identifier": "Q49", "position": [12, 19], "step": 9, "ordinal_position": 10}, {"identifier": "R46", "position": [13, 19], "step": 10, "ordinal_position": 11}, {"identifier": "E39", "position": [14, 19], "step": 11, "ordinal_position": 12}, {"identifier": "Y34", "position": [15, 19], "step": 12, "ordinal_position": 13}, {"identifier": "Y63", "position": [16, 19], "step": 13, "ordinal_position": 14}, {"identifier": "C79", "position": [17, 19], "step": 14, "ordinal_position": 15}, {"identifier": "D69", "position": [18, 19], "step": 15, "ordinal_position": 16}, {"identifier": "D14", "position": [19, 19], "step": 16, "ordinal_position": 17}, {"identifier": "B14", "position": [19, 18], "step": 17, "ordinal_position": 18}, {"identifier": "Y38", "position": [19, 17], "step": 18, "ordinal_position": 19}, {"identifier": "J25", "position": [19, 16], "step": 19, "ordinal_position": 20}, {"identifier": "H04", "position": [19, 15], "step": 20, "ordinal_position": 21}, {"identifier": "O43", "position": [19, 14], "step": 21, "ordinal_position": 22}, {"identifier": "D04", "position": [19, 13], "step": 22, "ordinal_position": 23}, {"identifier": "R30", "position": [19, 12], "step": 23, "ordinal_position": 24}, {"identifier": "M72", "position": [19, 11], "step": 24, "ordinal_position": 25}, {"identifier": "I85", "position": [19, 10], "step": 25, "ordinal_position": 26}, {"identifier": "Z65", "position": [19, 9], "step": 26, "ordinal_position": 27}, {"identifier": "M48", "position": [19, 8], "step": 27, "ordinal_position": 28}, {"identifier": "K16", "position": [19, 7], "step": 28, "ordinal_position": 29}, {"identifier": "T28", "position": [19, 6], "step": 29, "ordinal_position": 30}, {"identifier": "L55", "position": [19, 5], "step": 30, "ordinal_position": 31}, {"identifier": "E93", "position": [19, 4], "step": 31, "ordinal_position": 32}, {"identifier": "C42", "position": [19, 3], "step": 32, "ordinal_position": 33}, {"identifier": "V37", "position": [19, 2], "step": 33, "ordinal_position": 34}, {"identifier": "M01", "position": [19, 1], "step": 34, "ordinal_position": 35}, {"identifier": "E57", "position": [18, 1], "step": 35, "ordinal_position": 36}, {"identifier": "M73", "position": [17, 1], "step": 36, "ordinal_position": 37}, {"identifier": "O67", "position": [16, 1], "step": 37, "ordinal_position": 38}, {"identifier": "I93", "position": [15, 1], "step": 38, "ordinal_position": 39}, {"identifier": "C27", "position": [15, 2], "step": 39, "ordinal_position": 40}, {"identifier": "L54", "position": [15, 3], "step": 40, "ordinal_position": 41}, {"identifier": "R36", "position": [14, 3], "step": 41, "ordinal_position": 42}, {"identifier": "J65", "position": [13, 3], "step": 42, "ordinal_position": 43}, {"identifier": "F38", "position": [13, 2], "step": 43, "ordinal_position": 44}, {"identifier": "F05", "position": [13, 1], "step": 44, "ordinal_position": 45}, {"identifier": "L11", "position": [12, 1], "step": 45, "ordinal_position": 46}, {"identifier": "F60", "position": [11, 1], "step": 46, "ordinal_position": 47}, {"identifier": "H52", "position": [10, 1], "step": 47, "ordinal_position": 48}, {"identifier": "E68", "position": [9, 1], "step": 48, "ordinal_position": 49}, {"identifier": "A19", "position": [9, 2], "step": 49, "ordinal_position": 50}, {"identifier": "P88", "position": [9, 3], "step": 50, "ordinal_position": 51}, {"identifier": "O89", "position": [8, 3], "step": 51, "ordinal_position": 52}, {"identifier": "V34", "position": [7, 3], "step": 52, "ordinal_position": 53}, {"identifier": "E59", "position": [7, 4], "step": 53, "ordinal_position": 54}, {"identifier": "Y67", "position": [7, 5], "step": 54, "ordinal_position": 55}, {"identifier": "C05", "position": [8, 5], "step": 55, "ordinal_position": 56}, {"identifier": "H03", "position": [9, 5], "step": 56, "ordinal_position": 57}, {"identifier": "U39", "position": [10, 5], "step": 57, "ordinal_position": 58}, {"identifier": "W86", "position": [11, 5], "step": 58, "ordinal_position": 59}, {"identifier": "J34", "position": [12, 5], "step": 59, "ordinal_position": 60}, {"identifier": "Y73", "position": [13, 5], "step": 60, "ordinal_position": 61}, {"identifier": "V83", "position": [14, 5], "step": 61, "ordinal_position": 62}, {"identifier": "Y97", "position": [15, 5], "step": 62, "ordinal_position": 63}, {"identifier": "M13", "position": [16, 5], "step": 63, "ordinal_position": 64}, {"identifier": "O90", "position": [17, 5], "step": 64, "ordinal_position": 65}, {"identifier": "D70", "position": [17, 4], "step": 65, "ordinal_position": 66}, {"identifier": "S13", "position": [17, 3], "step": 66, "ordinal_position": 67}, {"identifier": "G13", "position": [18, 3], "step": 67, "ordinal_position": 68}, {"identifier": "C42", "position": [19, 3], "step": 68, "ordinal_position": 69}, {"identifier": "V37", "position": [19, 2], "step": 69, "ordinal_position": 70}, {"identifier": "M01", "position": [19, 1], "step": 70, "ordinal_position": 71}, {"identifier": "E57", "position": [18, 1], "step": 71, "ordinal_position": 72}, {"identifier": "M73", "position": [17, 1], "step": 72, "ordinal_position": 73}, {"identifier": "O67", "position": [16, 1], "step": 73, "ordinal_position": 74}, {"identifier": "I93", "position": [15, 1], "step": 74, "ordinal_position": 75}, {"identifier": "C27", "position": [15, 2], "step": 75, "ordinal_position": 76}, {"identifier": "L54", "position": [15, 3], "step": 76, "ordinal_position": 77}, {"identifier": "R36", "position": [14, 3], "step": 77, "ordinal_position": 78}, {"identifier": "J65", "position": [13, 3], "step": 78, "ordinal_position": 79}, {"identifier": "F38", "position": [13, 2], "step": 79, "ordinal_position": 80}, {"identifier": "F05", "position": [13, 1], "step": 80, "ordinal_position": 81}, {"identifier": "L11", "position": [12, 1], "step": 81, "ordinal_position": 82}, {"identifier": "F60", "position": [11, 1], "step": 82, "ordinal_position": 83}, {"identifier": "H52", "position": [10, 1], "step": 83, "ordinal_position": 84}, {"identifier": "E68", "position": [9, 1], "step": 84, "ordinal_position": 85}, {"identifier": "A19", "position": [9, 2], "step": 85, "ordinal_position": 86}, {"identifier": "P88", "position": [9, 3], "step": 86, "ordinal_position": 87}, {"identifier": "O89", "position": [8, 3], "step": 87, "ordinal_position": 88}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 88, "direction": "down", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_014.json"}} {"qa_id": "3b792978252d4e95ab472f40e430f74c", "image_id": "L3-MazeLoop-test_21x21_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U94, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 37th position in this traversal?", "start_object_id": "U94", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [37], "ordinal_strings": ["37th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M56", "traversal_path": [{"identifier": "U94", "position": [6, 7], "step": 0, "ordinal_position": 1}, {"identifier": "P80", "position": [7, 7], "step": 1, "ordinal_position": 2}, {"identifier": "X63", "position": [7, 8], "step": 2, "ordinal_position": 3}, {"identifier": "W05", "position": [7, 9], "step": 3, "ordinal_position": 4}, {"identifier": "A70", "position": [7, 10], "step": 4, "ordinal_position": 5}, {"identifier": "K24", "position": [7, 11], "step": 5, "ordinal_position": 6}, {"identifier": "O34", "position": [7, 12], "step": 6, "ordinal_position": 7}, {"identifier": "P52", "position": [7, 13], "step": 7, "ordinal_position": 8}, {"identifier": "Y21", "position": [6, 13], "step": 8, "ordinal_position": 9}, {"identifier": "Y78", "position": [5, 13], "step": 9, "ordinal_position": 10}, {"identifier": "V88", "position": [5, 14], "step": 10, "ordinal_position": 11}, {"identifier": "J26", "position": [5, 15], "step": 11, "ordinal_position": 12}, {"identifier": "K01", "position": [6, 15], "step": 12, "ordinal_position": 13}, {"identifier": "O26", "position": [7, 15], "step": 13, "ordinal_position": 14}, {"identifier": "T47", "position": [7, 16], "step": 14, "ordinal_position": 15}, {"identifier": "T18", "position": [7, 17], "step": 15, "ordinal_position": 16}, {"identifier": "E87", "position": [8, 17], "step": 16, "ordinal_position": 17}, {"identifier": "J09", "position": [9, 17], "step": 17, "ordinal_position": 18}, {"identifier": "O95", "position": [9, 16], "step": 18, "ordinal_position": 19}, {"identifier": "R70", "position": [9, 15], "step": 19, "ordinal_position": 20}, {"identifier": "K33", "position": [9, 14], "step": 20, "ordinal_position": 21}, {"identifier": "O78", "position": [9, 13], "step": 21, "ordinal_position": 22}, {"identifier": "F53", "position": [9, 12], "step": 22, "ordinal_position": 23}, {"identifier": "C10", "position": [9, 11], "step": 23, "ordinal_position": 24}, {"identifier": "B64", "position": [9, 10], "step": 24, "ordinal_position": 25}, {"identifier": "K09", "position": [9, 9], "step": 25, "ordinal_position": 26}, {"identifier": "A81", "position": [9, 8], "step": 26, "ordinal_position": 27}, {"identifier": "H14", "position": [9, 7], "step": 27, "ordinal_position": 28}, {"identifier": "F39", "position": [10, 7], "step": 28, "ordinal_position": 29}, {"identifier": "L59", "position": [11, 7], "step": 29, "ordinal_position": 30}, {"identifier": "W74", "position": [12, 7], "step": 30, "ordinal_position": 31}, {"identifier": "B19", "position": [13, 7], "step": 31, "ordinal_position": 32}, {"identifier": "N67", "position": [14, 7], "step": 32, "ordinal_position": 33}, {"identifier": "X83", "position": [15, 7], "step": 33, "ordinal_position": 34}, {"identifier": "A31", "position": [15, 8], "step": 34, "ordinal_position": 35}, {"identifier": "Q29", "position": [15, 9], "step": 35, "ordinal_position": 36}, {"identifier": "M56", "position": [15, 10], "step": 36, "ordinal_position": 37}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 37, "direction": "right", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_014.json"}} {"qa_id": "e34e28d5c9ee4dca94c82ca16e9bd56f", "image_id": "L3-MazeLoop-test_21x21_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z60, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 175th position in this traversal?", "start_object_id": "Z60", "directions": ["right"], "turn_preferences": ["left"], "ordinal_numbers": [175], "ordinal_strings": ["175th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M01", "traversal_path": [{"identifier": "Z60", "position": [7, 19], "step": 0, "ordinal_position": 1}, {"identifier": "P89", "position": [8, 19], "step": 1, "ordinal_position": 2}, {"identifier": "X20", "position": [9, 19], "step": 2, "ordinal_position": 3}, {"identifier": "U77", "position": [10, 19], "step": 3, "ordinal_position": 4}, {"identifier": "M11", "position": [11, 19], "step": 4, "ordinal_position": 5}, {"identifier": "Q49", "position": [12, 19], "step": 5, "ordinal_position": 6}, {"identifier": "R46", "position": [13, 19], "step": 6, "ordinal_position": 7}, {"identifier": "E39", "position": [14, 19], "step": 7, "ordinal_position": 8}, {"identifier": "Y34", "position": [15, 19], "step": 8, "ordinal_position": 9}, {"identifier": "Y63", "position": [16, 19], "step": 9, "ordinal_position": 10}, {"identifier": "C79", "position": [17, 19], "step": 10, "ordinal_position": 11}, {"identifier": "D69", "position": [18, 19], "step": 11, "ordinal_position": 12}, {"identifier": "D14", "position": [19, 19], "step": 12, "ordinal_position": 13}, {"identifier": "B14", "position": [19, 18], "step": 13, "ordinal_position": 14}, {"identifier": "Y38", "position": [19, 17], "step": 14, "ordinal_position": 15}, {"identifier": "J25", "position": [19, 16], "step": 15, "ordinal_position": 16}, {"identifier": "H04", "position": [19, 15], "step": 16, "ordinal_position": 17}, {"identifier": "O43", "position": [19, 14], "step": 17, "ordinal_position": 18}, {"identifier": "D04", "position": [19, 13], "step": 18, "ordinal_position": 19}, {"identifier": "R30", "position": [19, 12], "step": 19, "ordinal_position": 20}, {"identifier": "M72", "position": [19, 11], "step": 20, "ordinal_position": 21}, {"identifier": "I85", "position": [19, 10], "step": 21, "ordinal_position": 22}, {"identifier": "Z65", "position": [19, 9], "step": 22, "ordinal_position": 23}, {"identifier": "M48", "position": [19, 8], "step": 23, "ordinal_position": 24}, {"identifier": "K16", "position": [19, 7], "step": 24, "ordinal_position": 25}, {"identifier": "T28", "position": [19, 6], "step": 25, "ordinal_position": 26}, {"identifier": "L55", "position": [19, 5], "step": 26, "ordinal_position": 27}, {"identifier": "E93", "position": [19, 4], "step": 27, "ordinal_position": 28}, {"identifier": "C42", "position": [19, 3], "step": 28, "ordinal_position": 29}, {"identifier": "V37", "position": [19, 2], "step": 29, "ordinal_position": 30}, {"identifier": "M01", "position": [19, 1], "step": 30, "ordinal_position": 31}, {"identifier": "E57", "position": [18, 1], "step": 31, "ordinal_position": 32}, {"identifier": "M73", "position": [17, 1], "step": 32, "ordinal_position": 33}, {"identifier": "O67", "position": [16, 1], "step": 33, "ordinal_position": 34}, {"identifier": "I93", "position": [15, 1], "step": 34, "ordinal_position": 35}, {"identifier": "C27", "position": [15, 2], "step": 35, "ordinal_position": 36}, {"identifier": "L54", "position": [15, 3], "step": 36, "ordinal_position": 37}, {"identifier": "R36", "position": [14, 3], "step": 37, "ordinal_position": 38}, {"identifier": "J65", "position": [13, 3], "step": 38, "ordinal_position": 39}, {"identifier": "F38", "position": [13, 2], "step": 39, "ordinal_position": 40}, {"identifier": "F05", "position": [13, 1], "step": 40, "ordinal_position": 41}, {"identifier": "L11", "position": [12, 1], "step": 41, "ordinal_position": 42}, {"identifier": "F60", "position": [11, 1], "step": 42, "ordinal_position": 43}, {"identifier": "H52", "position": [10, 1], "step": 43, "ordinal_position": 44}, {"identifier": "E68", "position": [9, 1], "step": 44, "ordinal_position": 45}, {"identifier": "A19", "position": [9, 2], "step": 45, "ordinal_position": 46}, {"identifier": "P88", "position": [9, 3], "step": 46, "ordinal_position": 47}, {"identifier": "O89", "position": [8, 3], "step": 47, "ordinal_position": 48}, {"identifier": "V34", "position": [7, 3], "step": 48, "ordinal_position": 49}, {"identifier": "E59", "position": [7, 4], "step": 49, "ordinal_position": 50}, {"identifier": "Y67", "position": [7, 5], "step": 50, "ordinal_position": 51}, {"identifier": "C05", "position": [8, 5], "step": 51, "ordinal_position": 52}, {"identifier": "H03", "position": [9, 5], "step": 52, "ordinal_position": 53}, {"identifier": "U39", "position": [10, 5], "step": 53, "ordinal_position": 54}, {"identifier": "W86", "position": [11, 5], "step": 54, "ordinal_position": 55}, {"identifier": "J34", "position": [12, 5], "step": 55, "ordinal_position": 56}, {"identifier": "Y73", "position": [13, 5], "step": 56, "ordinal_position": 57}, {"identifier": "V83", "position": [14, 5], "step": 57, "ordinal_position": 58}, {"identifier": "Y97", "position": [15, 5], "step": 58, "ordinal_position": 59}, {"identifier": "M13", "position": [16, 5], "step": 59, "ordinal_position": 60}, {"identifier": "O90", "position": [17, 5], "step": 60, "ordinal_position": 61}, {"identifier": "D70", "position": [17, 4], "step": 61, "ordinal_position": 62}, {"identifier": "S13", "position": [17, 3], "step": 62, "ordinal_position": 63}, {"identifier": "G13", "position": [18, 3], "step": 63, "ordinal_position": 64}, {"identifier": "C42", "position": [19, 3], "step": 64, "ordinal_position": 65}, {"identifier": "V37", "position": [19, 2], "step": 65, "ordinal_position": 66}, {"identifier": "M01", "position": [19, 1], "step": 66, "ordinal_position": 67}, {"identifier": "E57", "position": [18, 1], "step": 67, "ordinal_position": 68}, {"identifier": "M73", "position": [17, 1], "step": 68, "ordinal_position": 69}, {"identifier": "O67", "position": [16, 1], "step": 69, "ordinal_position": 70}, {"identifier": "I93", "position": [15, 1], "step": 70, "ordinal_position": 71}, {"identifier": "C27", "position": [15, 2], "step": 71, "ordinal_position": 72}, {"identifier": "L54", "position": [15, 3], "step": 72, "ordinal_position": 73}, {"identifier": "R36", "position": [14, 3], "step": 73, "ordinal_position": 74}, {"identifier": "J65", "position": [13, 3], "step": 74, "ordinal_position": 75}, {"identifier": "F38", "position": [13, 2], "step": 75, "ordinal_position": 76}, {"identifier": "F05", "position": [13, 1], "step": 76, "ordinal_position": 77}, {"identifier": "L11", "position": [12, 1], "step": 77, "ordinal_position": 78}, {"identifier": "F60", "position": [11, 1], "step": 78, "ordinal_position": 79}, {"identifier": "H52", "position": [10, 1], "step": 79, "ordinal_position": 80}, {"identifier": "E68", "position": [9, 1], "step": 80, "ordinal_position": 81}, {"identifier": "A19", "position": [9, 2], "step": 81, "ordinal_position": 82}, {"identifier": "P88", "position": [9, 3], "step": 82, "ordinal_position": 83}, {"identifier": "O89", "position": [8, 3], "step": 83, "ordinal_position": 84}, {"identifier": "V34", "position": [7, 3], "step": 84, "ordinal_position": 85}, {"identifier": "E59", "position": [7, 4], "step": 85, "ordinal_position": 86}, {"identifier": "Y67", "position": [7, 5], "step": 86, "ordinal_position": 87}, {"identifier": "C05", "position": [8, 5], "step": 87, "ordinal_position": 88}, {"identifier": "H03", "position": [9, 5], "step": 88, "ordinal_position": 89}, {"identifier": "U39", "position": [10, 5], "step": 89, "ordinal_position": 90}, {"identifier": "W86", "position": [11, 5], "step": 90, "ordinal_position": 91}, {"identifier": "J34", "position": [12, 5], "step": 91, "ordinal_position": 92}, {"identifier": "Y73", "position": [13, 5], "step": 92, "ordinal_position": 93}, {"identifier": "V83", "position": [14, 5], "step": 93, "ordinal_position": 94}, {"identifier": "Y97", "position": [15, 5], "step": 94, "ordinal_position": 95}, {"identifier": "M13", "position": [16, 5], "step": 95, "ordinal_position": 96}, {"identifier": "O90", "position": [17, 5], "step": 96, "ordinal_position": 97}, {"identifier": "D70", "position": [17, 4], "step": 97, "ordinal_position": 98}, {"identifier": "S13", "position": [17, 3], "step": 98, "ordinal_position": 99}, {"identifier": "G13", "position": [18, 3], "step": 99, "ordinal_position": 100}, {"identifier": "C42", "position": [19, 3], "step": 100, "ordinal_position": 101}, {"identifier": "V37", "position": [19, 2], "step": 101, "ordinal_position": 102}, {"identifier": "M01", "position": [19, 1], "step": 102, "ordinal_position": 103}, {"identifier": "E57", "position": [18, 1], "step": 103, "ordinal_position": 104}, {"identifier": "M73", "position": [17, 1], "step": 104, "ordinal_position": 105}, {"identifier": "O67", "position": [16, 1], "step": 105, "ordinal_position": 106}, {"identifier": "I93", "position": [15, 1], "step": 106, "ordinal_position": 107}, {"identifier": "C27", "position": [15, 2], "step": 107, "ordinal_position": 108}, {"identifier": "L54", "position": [15, 3], "step": 108, "ordinal_position": 109}, {"identifier": "R36", "position": [14, 3], "step": 109, "ordinal_position": 110}, {"identifier": "J65", "position": [13, 3], "step": 110, "ordinal_position": 111}, {"identifier": "F38", "position": [13, 2], "step": 111, "ordinal_position": 112}, {"identifier": "F05", "position": [13, 1], "step": 112, "ordinal_position": 113}, {"identifier": "L11", "position": [12, 1], "step": 113, "ordinal_position": 114}, {"identifier": "F60", "position": [11, 1], "step": 114, "ordinal_position": 115}, {"identifier": "H52", "position": [10, 1], "step": 115, "ordinal_position": 116}, {"identifier": "E68", "position": [9, 1], "step": 116, "ordinal_position": 117}, {"identifier": "A19", "position": [9, 2], "step": 117, "ordinal_position": 118}, {"identifier": "P88", "position": [9, 3], "step": 118, "ordinal_position": 119}, {"identifier": "O89", "position": [8, 3], "step": 119, "ordinal_position": 120}, {"identifier": "V34", "position": [7, 3], "step": 120, "ordinal_position": 121}, {"identifier": "E59", "position": [7, 4], "step": 121, "ordinal_position": 122}, {"identifier": "Y67", "position": [7, 5], "step": 122, "ordinal_position": 123}, {"identifier": "C05", "position": [8, 5], "step": 123, "ordinal_position": 124}, {"identifier": "H03", "position": [9, 5], "step": 124, "ordinal_position": 125}, {"identifier": "U39", "position": [10, 5], "step": 125, "ordinal_position": 126}, {"identifier": "W86", "position": [11, 5], "step": 126, "ordinal_position": 127}, {"identifier": "J34", "position": [12, 5], "step": 127, "ordinal_position": 128}, {"identifier": "Y73", "position": [13, 5], "step": 128, "ordinal_position": 129}, {"identifier": "V83", "position": [14, 5], "step": 129, "ordinal_position": 130}, {"identifier": "Y97", "position": [15, 5], "step": 130, "ordinal_position": 131}, {"identifier": "M13", "position": [16, 5], "step": 131, "ordinal_position": 132}, {"identifier": "O90", "position": [17, 5], "step": 132, "ordinal_position": 133}, {"identifier": "D70", "position": [17, 4], "step": 133, "ordinal_position": 134}, {"identifier": "S13", "position": [17, 3], "step": 134, "ordinal_position": 135}, {"identifier": "G13", "position": [18, 3], "step": 135, "ordinal_position": 136}, {"identifier": "C42", "position": [19, 3], "step": 136, "ordinal_position": 137}, {"identifier": "V37", "position": [19, 2], "step": 137, "ordinal_position": 138}, {"identifier": "M01", "position": [19, 1], "step": 138, "ordinal_position": 139}, {"identifier": "E57", "position": [18, 1], "step": 139, "ordinal_position": 140}, {"identifier": "M73", "position": [17, 1], "step": 140, "ordinal_position": 141}, {"identifier": "O67", "position": [16, 1], "step": 141, "ordinal_position": 142}, {"identifier": "I93", "position": [15, 1], "step": 142, "ordinal_position": 143}, {"identifier": "C27", "position": [15, 2], "step": 143, "ordinal_position": 144}, {"identifier": "L54", "position": [15, 3], "step": 144, "ordinal_position": 145}, {"identifier": "R36", "position": [14, 3], "step": 145, "ordinal_position": 146}, {"identifier": "J65", "position": [13, 3], "step": 146, "ordinal_position": 147}, {"identifier": "F38", "position": [13, 2], "step": 147, "ordinal_position": 148}, {"identifier": "F05", "position": [13, 1], "step": 148, "ordinal_position": 149}, {"identifier": "L11", "position": [12, 1], "step": 149, "ordinal_position": 150}, {"identifier": "F60", "position": [11, 1], "step": 150, "ordinal_position": 151}, {"identifier": "H52", "position": [10, 1], "step": 151, "ordinal_position": 152}, {"identifier": "E68", "position": [9, 1], "step": 152, "ordinal_position": 153}, {"identifier": "A19", "position": [9, 2], "step": 153, "ordinal_position": 154}, {"identifier": "P88", "position": [9, 3], "step": 154, "ordinal_position": 155}, {"identifier": "O89", "position": [8, 3], "step": 155, "ordinal_position": 156}, {"identifier": "V34", "position": [7, 3], "step": 156, "ordinal_position": 157}, {"identifier": "E59", "position": [7, 4], "step": 157, "ordinal_position": 158}, {"identifier": "Y67", "position": [7, 5], "step": 158, "ordinal_position": 159}, {"identifier": "C05", "position": [8, 5], "step": 159, "ordinal_position": 160}, {"identifier": "H03", "position": [9, 5], "step": 160, "ordinal_position": 161}, {"identifier": "U39", "position": [10, 5], "step": 161, "ordinal_position": 162}, {"identifier": "W86", "position": [11, 5], "step": 162, "ordinal_position": 163}, {"identifier": "J34", "position": [12, 5], "step": 163, "ordinal_position": 164}, {"identifier": "Y73", "position": [13, 5], "step": 164, "ordinal_position": 165}, {"identifier": "V83", "position": [14, 5], "step": 165, "ordinal_position": 166}, {"identifier": "Y97", "position": [15, 5], "step": 166, "ordinal_position": 167}, {"identifier": "M13", "position": [16, 5], "step": 167, "ordinal_position": 168}, {"identifier": "O90", "position": [17, 5], "step": 168, "ordinal_position": 169}, {"identifier": "D70", "position": [17, 4], "step": 169, "ordinal_position": 170}, {"identifier": "S13", "position": [17, 3], "step": 170, "ordinal_position": 171}, {"identifier": "G13", "position": [18, 3], "step": 171, "ordinal_position": 172}, {"identifier": "C42", "position": [19, 3], "step": 172, "ordinal_position": 173}, {"identifier": "V37", "position": [19, 2], "step": 173, "ordinal_position": 174}, {"identifier": "M01", "position": [19, 1], "step": 174, "ordinal_position": 175}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 175, "direction": "right", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_014.json"}} {"qa_id": "30c2d5d6b8bd4140bfd5cee751242533", "image_id": "L3-MazeLoop-test_21x21_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N67, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 206th position in this traversal?", "start_object_id": "N67", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [206], "ordinal_strings": ["206th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "G00", "traversal_path": [{"identifier": "N67", "position": [14, 7], "step": 0, "ordinal_position": 1}, {"identifier": "B19", "position": [13, 7], "step": 1, "ordinal_position": 2}, {"identifier": "W74", "position": [12, 7], "step": 2, "ordinal_position": 3}, {"identifier": "L59", "position": [11, 7], "step": 3, "ordinal_position": 4}, {"identifier": "F39", "position": [10, 7], "step": 4, "ordinal_position": 5}, {"identifier": "H14", "position": [9, 7], "step": 5, "ordinal_position": 6}, {"identifier": "A81", "position": [9, 8], "step": 6, "ordinal_position": 7}, {"identifier": "K09", "position": [9, 9], "step": 7, "ordinal_position": 8}, {"identifier": "B64", "position": [9, 10], "step": 8, "ordinal_position": 9}, {"identifier": "C10", "position": [9, 11], "step": 9, "ordinal_position": 10}, {"identifier": "F53", "position": [9, 12], "step": 10, "ordinal_position": 11}, {"identifier": "O78", "position": [9, 13], "step": 11, "ordinal_position": 12}, {"identifier": "K33", "position": [9, 14], "step": 12, "ordinal_position": 13}, {"identifier": "R70", "position": [9, 15], "step": 13, "ordinal_position": 14}, {"identifier": "O95", "position": [9, 16], "step": 14, "ordinal_position": 15}, {"identifier": "J09", "position": [9, 17], "step": 15, "ordinal_position": 16}, {"identifier": "M98", "position": [9, 18], "step": 16, "ordinal_position": 17}, {"identifier": "X20", "position": [9, 19], "step": 17, "ordinal_position": 18}, {"identifier": "P89", "position": [8, 19], "step": 18, "ordinal_position": 19}, {"identifier": "Z60", "position": [7, 19], "step": 19, "ordinal_position": 20}, {"identifier": "A97", "position": [6, 19], "step": 20, "ordinal_position": 21}, {"identifier": "M66", "position": [5, 19], "step": 21, "ordinal_position": 22}, {"identifier": "F47", "position": [5, 18], "step": 22, "ordinal_position": 23}, {"identifier": "M30", "position": [5, 17], "step": 23, "ordinal_position": 24}, {"identifier": "O97", "position": [4, 17], "step": 24, "ordinal_position": 25}, {"identifier": "H76", "position": [3, 17], "step": 25, "ordinal_position": 26}, {"identifier": "Y72", "position": [2, 17], "step": 26, "ordinal_position": 27}, {"identifier": "E62", "position": [1, 17], "step": 27, "ordinal_position": 28}, {"identifier": "N65", "position": [1, 16], "step": 28, "ordinal_position": 29}, {"identifier": "A62", "position": [1, 15], "step": 29, "ordinal_position": 30}, {"identifier": "W75", "position": [2, 15], "step": 30, "ordinal_position": 31}, {"identifier": "B89", "position": [3, 15], "step": 31, "ordinal_position": 32}, {"identifier": "V86", "position": [3, 14], "step": 32, "ordinal_position": 33}, {"identifier": "C53", "position": [3, 13], "step": 33, "ordinal_position": 34}, {"identifier": "U81", "position": [2, 13], "step": 34, "ordinal_position": 35}, {"identifier": "C72", "position": [1, 13], "step": 35, "ordinal_position": 36}, {"identifier": "B95", "position": [1, 12], "step": 36, "ordinal_position": 37}, {"identifier": "G31", "position": [1, 11], "step": 37, "ordinal_position": 38}, {"identifier": "T53", "position": [1, 10], "step": 38, "ordinal_position": 39}, {"identifier": "I17", "position": [1, 9], "step": 39, "ordinal_position": 40}, {"identifier": "H98", "position": [1, 8], "step": 40, "ordinal_position": 41}, {"identifier": "Y08", "position": [1, 7], "step": 41, "ordinal_position": 42}, {"identifier": "C04", "position": [1, 6], "step": 42, "ordinal_position": 43}, {"identifier": "O39", "position": [1, 5], "step": 43, "ordinal_position": 44}, {"identifier": "H19", "position": [1, 4], "step": 44, "ordinal_position": 45}, {"identifier": "G00", "position": [1, 3], "step": 45, "ordinal_position": 46}, {"identifier": "L52", "position": [1, 2], "step": 46, "ordinal_position": 47}, {"identifier": "C85", "position": [1, 1], "step": 47, "ordinal_position": 48}, {"identifier": "D96", "position": [2, 1], "step": 48, "ordinal_position": 49}, {"identifier": "S09", "position": [3, 1], "step": 49, "ordinal_position": 50}, {"identifier": "R95", "position": [4, 1], "step": 50, "ordinal_position": 51}, {"identifier": "P75", "position": [5, 1], "step": 51, 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"ordinal_position": 187}, {"identifier": "E62", "position": [1, 17], "step": 187, "ordinal_position": 188}, {"identifier": "N65", "position": [1, 16], "step": 188, "ordinal_position": 189}, {"identifier": "A62", "position": [1, 15], "step": 189, "ordinal_position": 190}, {"identifier": "W75", "position": [2, 15], "step": 190, "ordinal_position": 191}, {"identifier": "B89", "position": [3, 15], "step": 191, "ordinal_position": 192}, {"identifier": "V86", "position": [3, 14], "step": 192, "ordinal_position": 193}, {"identifier": "C53", "position": [3, 13], "step": 193, "ordinal_position": 194}, {"identifier": "U81", "position": [2, 13], "step": 194, "ordinal_position": 195}, {"identifier": "C72", "position": [1, 13], "step": 195, "ordinal_position": 196}, {"identifier": "B95", "position": [1, 12], "step": 196, "ordinal_position": 197}, {"identifier": "G31", "position": [1, 11], "step": 197, "ordinal_position": 198}, {"identifier": "T53", "position": [1, 10], "step": 198, "ordinal_position": 199}, {"identifier": "I17", "position": [1, 9], "step": 199, "ordinal_position": 200}, {"identifier": "H98", "position": [1, 8], "step": 200, "ordinal_position": 201}, {"identifier": "Y08", "position": [1, 7], "step": 201, "ordinal_position": 202}, {"identifier": "C04", "position": [1, 6], "step": 202, "ordinal_position": 203}, {"identifier": "O39", "position": [1, 5], "step": 203, "ordinal_position": 204}, {"identifier": "H19", "position": [1, 4], "step": 204, "ordinal_position": 205}, {"identifier": "G00", "position": [1, 3], "step": 205, "ordinal_position": 206}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 206, "direction": "left", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_014.json"}} {"qa_id": "c6b1febce5db414fb9daf74253ec36bb", "image_id": "L3-MazeLoop-test_21x21_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G99, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 185th position in this traversal?", "start_object_id": "G99", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [185], "ordinal_strings": ["185th"], "ordinal_number_levels": ["L3_high"], "arr_level": 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"ordinal_position": 12}, {"identifier": "B95", "position": [1, 12], "step": 12, "ordinal_position": 13}, {"identifier": "C72", "position": [1, 13], "step": 13, "ordinal_position": 14}, {"identifier": "U81", "position": [2, 13], "step": 14, "ordinal_position": 15}, {"identifier": "C53", "position": [3, 13], "step": 15, "ordinal_position": 16}, {"identifier": "V86", "position": [3, 14], "step": 16, "ordinal_position": 17}, {"identifier": "B89", "position": [3, 15], "step": 17, "ordinal_position": 18}, {"identifier": "W75", "position": [2, 15], "step": 18, "ordinal_position": 19}, {"identifier": "A62", "position": [1, 15], "step": 19, "ordinal_position": 20}, {"identifier": "N65", "position": [1, 16], "step": 20, "ordinal_position": 21}, {"identifier": "E62", "position": [1, 17], "step": 21, "ordinal_position": 22}, {"identifier": "P42", "position": [1, 18], "step": 22, "ordinal_position": 23}, {"identifier": "V44", "position": [1, 19], "step": 23, "ordinal_position": 24}, {"identifier": "P26", "position": [2, 19], "step": 24, "ordinal_position": 25}, {"identifier": "U69", "position": [3, 19], "step": 25, "ordinal_position": 26}, {"identifier": "I29", "position": [3, 18], "step": 26, "ordinal_position": 27}, {"identifier": "H76", "position": [3, 17], "step": 27, "ordinal_position": 28}, {"identifier": "Y72", "position": [2, 17], "step": 28, "ordinal_position": 29}, {"identifier": "E62", "position": [1, 17], "step": 29, "ordinal_position": 30}, {"identifier": "P42", "position": [1, 18], "step": 30, "ordinal_position": 31}, {"identifier": "V44", "position": [1, 19], "step": 31, "ordinal_position": 32}, {"identifier": "P26", "position": [2, 19], "step": 32, "ordinal_position": 33}, {"identifier": "U69", "position": [3, 19], "step": 33, "ordinal_position": 34}, {"identifier": "I29", "position": [3, 18], "step": 34, "ordinal_position": 35}, {"identifier": "H76", "position": [3, 17], "step": 35, "ordinal_position": 36}, {"identifier": "Y72", "position": [2, 17], "step": 36, "ordinal_position": 37}, {"identifier": "E62", "position": [1, 17], "step": 37, "ordinal_position": 38}, {"identifier": "P42", "position": [1, 18], "step": 38, "ordinal_position": 39}, {"identifier": "V44", "position": [1, 19], "step": 39, "ordinal_position": 40}, {"identifier": "P26", "position": [2, 19], "step": 40, "ordinal_position": 41}, {"identifier": "U69", "position": [3, 19], "step": 41, "ordinal_position": 42}, {"identifier": "I29", "position": [3, 18], "step": 42, "ordinal_position": 43}, {"identifier": "H76", "position": [3, 17], "step": 43, "ordinal_position": 44}, {"identifier": "Y72", "position": [2, 17], "step": 44, "ordinal_position": 45}, {"identifier": "E62", "position": [1, 17], "step": 45, "ordinal_position": 46}, {"identifier": "P42", "position": [1, 18], "step": 46, "ordinal_position": 47}, {"identifier": "V44", "position": [1, 19], "step": 47, "ordinal_position": 48}, {"identifier": "P26", "position": [2, 19], "step": 48, "ordinal_position": 49}, {"identifier": "U69", "position": [3, 19], "step": 49, "ordinal_position": 50}, {"identifier": "I29", "position": [3, 18], "step": 50, "ordinal_position": 51}, {"identifier": "H76", "position": [3, 17], "step": 51, "ordinal_position": 52}, {"identifier": "Y72", "position": [2, 17], "step": 52, "ordinal_position": 53}, {"identifier": "E62", "position": [1, 17], "step": 53, "ordinal_position": 54}, {"identifier": "P42", "position": [1, 18], "step": 54, "ordinal_position": 55}, {"identifier": "V44", "position": [1, 19], "step": 55, "ordinal_position": 56}, {"identifier": "P26", "position": [2, 19], "step": 56, "ordinal_position": 57}, {"identifier": "U69", "position": [3, 19], "step": 57, "ordinal_position": 58}, {"identifier": "I29", "position": [3, 18], "step": 58, "ordinal_position": 59}, {"identifier": "H76", "position": [3, 17], "step": 59, "ordinal_position": 60}, {"identifier": "Y72", "position": [2, 17], "step": 60, "ordinal_position": 61}, {"identifier": "E62", "position": [1, 17], "step": 61, "ordinal_position": 62}, {"identifier": "P42", "position": [1, 18], "step": 62, "ordinal_position": 63}, {"identifier": "V44", "position": [1, 19], "step": 63, "ordinal_position": 64}, {"identifier": "P26", "position": [2, 19], "step": 64, "ordinal_position": 65}, {"identifier": "U69", "position": [3, 19], "step": 65, "ordinal_position": 66}, {"identifier": "I29", "position": [3, 18], "step": 66, "ordinal_position": 67}, {"identifier": "H76", "position": [3, 17], "step": 67, "ordinal_position": 68}, {"identifier": "Y72", "position": [2, 17], "step": 68, "ordinal_position": 69}, {"identifier": "E62", "position": [1, 17], "step": 69, "ordinal_position": 70}, {"identifier": "P42", "position": [1, 18], "step": 70, "ordinal_position": 71}, {"identifier": "V44", "position": [1, 19], "step": 71, "ordinal_position": 72}, {"identifier": "P26", "position": [2, 19], "step": 72, "ordinal_position": 73}, {"identifier": "U69", "position": [3, 19], "step": 73, "ordinal_position": 74}, {"identifier": 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"ordinal_position": 87}, {"identifier": "V44", "position": [1, 19], "step": 87, "ordinal_position": 88}, {"identifier": "P26", "position": [2, 19], "step": 88, "ordinal_position": 89}, {"identifier": "U69", "position": [3, 19], "step": 89, "ordinal_position": 90}, {"identifier": "I29", "position": [3, 18], "step": 90, "ordinal_position": 91}, {"identifier": "H76", "position": [3, 17], "step": 91, "ordinal_position": 92}, {"identifier": "Y72", "position": [2, 17], "step": 92, "ordinal_position": 93}, {"identifier": "E62", "position": [1, 17], "step": 93, "ordinal_position": 94}, {"identifier": "P42", "position": [1, 18], "step": 94, "ordinal_position": 95}, {"identifier": "V44", "position": [1, 19], "step": 95, "ordinal_position": 96}, {"identifier": "P26", "position": [2, 19], "step": 96, "ordinal_position": 97}, {"identifier": "U69", "position": [3, 19], "step": 97, "ordinal_position": 98}, {"identifier": "I29", "position": [3, 18], "step": 98, "ordinal_position": 99}, {"identifier": "H76", "position": [3, 17], "step": 99, "ordinal_position": 100}, {"identifier": "Y72", "position": [2, 17], "step": 100, "ordinal_position": 101}, {"identifier": "E62", "position": [1, 17], "step": 101, "ordinal_position": 102}, {"identifier": "P42", "position": [1, 18], "step": 102, "ordinal_position": 103}, {"identifier": "V44", "position": [1, 19], "step": 103, "ordinal_position": 104}, {"identifier": "P26", "position": [2, 19], "step": 104, "ordinal_position": 105}, {"identifier": "U69", "position": [3, 19], "step": 105, "ordinal_position": 106}, {"identifier": "I29", "position": [3, 18], "step": 106, "ordinal_position": 107}, {"identifier": "H76", "position": [3, 17], "step": 107, "ordinal_position": 108}, {"identifier": "Y72", "position": [2, 17], "step": 108, "ordinal_position": 109}, {"identifier": "E62", "position": [1, 17], "step": 109, "ordinal_position": 110}, {"identifier": "P42", "position": [1, 18], "step": 110, "ordinal_position": 111}, {"identifier": "V44", "position": [1, 19], "step": 111, "ordinal_position": 112}, {"identifier": "P26", "position": [2, 19], "step": 112, "ordinal_position": 113}, {"identifier": "U69", "position": [3, 19], "step": 113, "ordinal_position": 114}, {"identifier": "I29", "position": [3, 18], "step": 114, "ordinal_position": 115}, {"identifier": "H76", "position": [3, 17], "step": 115, "ordinal_position": 116}, {"identifier": "Y72", "position": [2, 17], "step": 116, "ordinal_position": 117}, {"identifier": "E62", "position": [1, 17], "step": 117, "ordinal_position": 118}, {"identifier": "P42", "position": [1, 18], "step": 118, "ordinal_position": 119}, {"identifier": "V44", "position": [1, 19], "step": 119, "ordinal_position": 120}, {"identifier": "P26", "position": [2, 19], "step": 120, "ordinal_position": 121}, {"identifier": "U69", "position": [3, 19], "step": 121, "ordinal_position": 122}, {"identifier": "I29", "position": [3, 18], "step": 122, "ordinal_position": 123}, {"identifier": "H76", "position": [3, 17], "step": 123, "ordinal_position": 124}, {"identifier": "Y72", "position": [2, 17], "step": 124, "ordinal_position": 125}, {"identifier": "E62", "position": [1, 17], "step": 125, "ordinal_position": 126}, {"identifier": "P42", "position": [1, 18], "step": 126, "ordinal_position": 127}, {"identifier": "V44", "position": [1, 19], "step": 127, "ordinal_position": 128}, {"identifier": "P26", "position": [2, 19], "step": 128, "ordinal_position": 129}, {"identifier": "U69", "position": [3, 19], "step": 129, "ordinal_position": 130}, {"identifier": "I29", "position": [3, 18], "step": 130, "ordinal_position": 131}, {"identifier": "H76", "position": [3, 17], "step": 131, "ordinal_position": 132}, {"identifier": "Y72", "position": [2, 17], "step": 132, "ordinal_position": 133}, {"identifier": "E62", "position": [1, 17], "step": 133, "ordinal_position": 134}, {"identifier": "P42", "position": [1, 18], "step": 134, "ordinal_position": 135}, {"identifier": "V44", "position": [1, 19], "step": 135, "ordinal_position": 136}, {"identifier": "P26", "position": [2, 19], "step": 136, "ordinal_position": 137}, {"identifier": "U69", "position": [3, 19], "step": 137, "ordinal_position": 138}, {"identifier": "I29", "position": [3, 18], "step": 138, "ordinal_position": 139}, {"identifier": "H76", "position": [3, 17], "step": 139, "ordinal_position": 140}, {"identifier": "Y72", "position": [2, 17], "step": 140, "ordinal_position": 141}, {"identifier": "E62", "position": [1, 17], "step": 141, "ordinal_position": 142}, {"identifier": "P42", "position": [1, 18], "step": 142, "ordinal_position": 143}, {"identifier": "V44", "position": [1, 19], "step": 143, "ordinal_position": 144}, {"identifier": "P26", "position": [2, 19], "step": 144, "ordinal_position": 145}, {"identifier": "U69", "position": [3, 19], "step": 145, "ordinal_position": 146}, {"identifier": "I29", "position": [3, 18], "step": 146, "ordinal_position": 147}, {"identifier": "H76", "position": [3, 17], "step": 147, "ordinal_position": 148}, {"identifier": "Y72", "position": [2, 17], "step": 148, "ordinal_position": 149}, {"identifier": "E62", "position": [1, 17], "step": 149, "ordinal_position": 150}, {"identifier": "P42", "position": [1, 18], "step": 150, "ordinal_position": 151}, {"identifier": "V44", "position": [1, 19], "step": 151, "ordinal_position": 152}, {"identifier": "P26", "position": [2, 19], "step": 152, "ordinal_position": 153}, {"identifier": "U69", "position": [3, 19], "step": 153, "ordinal_position": 154}, {"identifier": "I29", "position": [3, 18], "step": 154, "ordinal_position": 155}, {"identifier": "H76", "position": [3, 17], "step": 155, "ordinal_position": 156}, {"identifier": "Y72", "position": [2, 17], "step": 156, "ordinal_position": 157}, {"identifier": "E62", "position": [1, 17], "step": 157, "ordinal_position": 158}, {"identifier": "P42", "position": [1, 18], "step": 158, "ordinal_position": 159}, {"identifier": "V44", "position": [1, 19], "step": 159, "ordinal_position": 160}, {"identifier": "P26", "position": [2, 19], "step": 160, "ordinal_position": 161}, {"identifier": "U69", "position": [3, 19], "step": 161, "ordinal_position": 162}, {"identifier": "I29", "position": [3, 18], "step": 162, "ordinal_position": 163}, {"identifier": "H76", "position": [3, 17], "step": 163, "ordinal_position": 164}, {"identifier": "Y72", "position": [2, 17], "step": 164, "ordinal_position": 165}, {"identifier": "E62", "position": [1, 17], "step": 165, "ordinal_position": 166}, {"identifier": "P42", "position": [1, 18], "step": 166, "ordinal_position": 167}, {"identifier": "V44", "position": [1, 19], "step": 167, "ordinal_position": 168}, {"identifier": "P26", "position": [2, 19], "step": 168, "ordinal_position": 169}, {"identifier": "U69", "position": [3, 19], "step": 169, "ordinal_position": 170}, {"identifier": "I29", "position": [3, 18], "step": 170, "ordinal_position": 171}, {"identifier": "H76", "position": [3, 17], "step": 171, "ordinal_position": 172}, {"identifier": "Y72", "position": [2, 17], "step": 172, "ordinal_position": 173}, {"identifier": "E62", "position": [1, 17], "step": 173, "ordinal_position": 174}, {"identifier": "P42", "position": [1, 18], "step": 174, "ordinal_position": 175}, {"identifier": "V44", "position": [1, 19], "step": 175, "ordinal_position": 176}, {"identifier": "P26", "position": [2, 19], "step": 176, "ordinal_position": 177}, {"identifier": "U69", "position": [3, 19], "step": 177, "ordinal_position": 178}, {"identifier": "I29", "position": [3, 18], "step": 178, "ordinal_position": 179}, {"identifier": "H76", "position": [3, 17], "step": 179, "ordinal_position": 180}, {"identifier": "Y72", "position": [2, 17], "step": 180, "ordinal_position": 181}, {"identifier": "E62", "position": [1, 17], "step": 181, "ordinal_position": 182}, {"identifier": "P42", "position": [1, 18], "step": 182, "ordinal_position": 183}, {"identifier": "V44", "position": [1, 19], "step": 183, "ordinal_position": 184}, {"identifier": "P26", "position": [2, 19], "step": 184, "ordinal_position": 185}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 185, "direction": "up", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_014.json"}} {"qa_id": "bffe84085cc642629df2e86f4dc9c802", "image_id": "L3-MazeLoop-test_21x21_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A97, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 158th position in this traversal?", "start_object_id": "A97", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [158], "ordinal_strings": ["158th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "X20", "traversal_path": [{"identifier": "A97", "position": [6, 19], "step": 0, "ordinal_position": 1}, {"identifier": "M66", "position": [5, 19], "step": 1, "ordinal_position": 2}, {"identifier": "F47", "position": [5, 18], "step": 2, "ordinal_position": 3}, {"identifier": "M30", "position": [5, 17], "step": 3, "ordinal_position": 4}, {"identifier": "O97", "position": [4, 17], "step": 4, "ordinal_position": 5}, {"identifier": "H76", "position": [3, 17], "step": 5, "ordinal_position": 6}, {"identifier": "Y72", "position": [2, 17], "step": 6, "ordinal_position": 7}, {"identifier": "E62", "position": [1, 17], "step": 7, "ordinal_position": 8}, {"identifier": "N65", "position": [1, 16], "step": 8, "ordinal_position": 9}, {"identifier": "A62", "position": [1, 15], "step": 9, "ordinal_position": 10}, {"identifier": "W75", "position": [2, 15], "step": 10, "ordinal_position": 11}, {"identifier": "B89", "position": [3, 15], "step": 11, "ordinal_position": 12}, {"identifier": "V86", "position": [3, 14], "step": 12, "ordinal_position": 13}, {"identifier": "C53", "position": [3, 13], "step": 13, "ordinal_position": 14}, {"identifier": "U81", "position": [2, 13], "step": 14, "ordinal_position": 15}, {"identifier": "C72", "position": [1, 13], "step": 15, "ordinal_position": 16}, {"identifier": "B95", "position": [1, 12], "step": 16, "ordinal_position": 17}, {"identifier": "G31", "position": [1, 11], "step": 17, "ordinal_position": 18}, {"identifier": "T53", "position": [1, 10], "step": 18, "ordinal_position": 19}, {"identifier": "I17", "position": [1, 9], "step": 19, "ordinal_position": 20}, {"identifier": "H98", "position": [1, 8], "step": 20, "ordinal_position": 21}, {"identifier": "Y08", "position": [1, 7], "step": 21, "ordinal_position": 22}, {"identifier": "C04", "position": [1, 6], "step": 22, "ordinal_position": 23}, {"identifier": "O39", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "H19", "position": [1, 4], "step": 24, "ordinal_position": 25}, {"identifier": "G00", "position": [1, 3], "step": 25, "ordinal_position": 26}, {"identifier": "L52", "position": [1, 2], "step": 26, "ordinal_position": 27}, {"identifier": "C85", "position": [1, 1], "step": 27, "ordinal_position": 28}, {"identifier": "D96", "position": [2, 1], "step": 28, "ordinal_position": 29}, {"identifier": "S09", "position": [3, 1], "step": 29, "ordinal_position": 30}, {"identifier": "R95", "position": [4, 1], "step": 30, "ordinal_position": 31}, {"identifier": "P75", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "T49", "position": [6, 1], "step": 32, "ordinal_position": 33}, {"identifier": "C80", "position": [7, 1], "step": 33, "ordinal_position": 34}, {"identifier": "X67", "position": [7, 2], "step": 34, "ordinal_position": 35}, {"identifier": "V34", "position": [7, 3], "step": 35, "ordinal_position": 36}, {"identifier": "E59", "position": [7, 4], "step": 36, "ordinal_position": 37}, {"identifier": "Y67", "position": [7, 5], "step": 37, "ordinal_position": 38}, {"identifier": "C05", "position": [8, 5], "step": 38, "ordinal_position": 39}, {"identifier": "H03", "position": [9, 5], "step": 39, "ordinal_position": 40}, {"identifier": "U39", "position": [10, 5], "step": 40, "ordinal_position": 41}, {"identifier": "W86", "position": [11, 5], "step": 41, "ordinal_position": 42}, {"identifier": "J34", "position": [12, 5], "step": 42, "ordinal_position": 43}, {"identifier": "Y73", "position": [13, 5], "step": 43, "ordinal_position": 44}, {"identifier": "V83", "position": [14, 5], "step": 44, "ordinal_position": 45}, {"identifier": "Y97", "position": [15, 5], "step": 45, "ordinal_position": 46}, {"identifier": "M13", "position": [16, 5], "step": 46, "ordinal_position": 47}, {"identifier": "O90", "position": [17, 5], "step": 47, "ordinal_position": 48}, {"identifier": "B04", "position": [17, 6], "step": 48, "ordinal_position": 49}, {"identifier": "S87", "position": [17, 7], "step": 49, "ordinal_position": 50}, {"identifier": "U97", "position": [17, 8], "step": 50, "ordinal_position": 51}, {"identifier": "U28", "position": [17, 9], "step": 51, "ordinal_position": 52}, {"identifier": "J21", "position": [17, 10], "step": 52, "ordinal_position": 53}, {"identifier": "N92", "position": [17, 11], "step": 53, "ordinal_position": 54}, {"identifier": "W79", "position": [16, 11], "step": 54, "ordinal_position": 55}, {"identifier": "Q65", "position": [15, 11], "step": 55, "ordinal_position": 56}, {"identifier": "M56", "position": [15, 10], "step": 56, "ordinal_position": 57}, {"identifier": "Q29", "position": [15, 9], "step": 57, "ordinal_position": 58}, {"identifier": "A31", "position": [15, 8], "step": 58, "ordinal_position": 59}, {"identifier": "X83", "position": [15, 7], "step": 59, "ordinal_position": 60}, {"identifier": "N67", "position": [14, 7], "step": 60, "ordinal_position": 61}, {"identifier": "B19", "position": [13, 7], "step": 61, "ordinal_position": 62}, {"identifier": "W74", "position": [12, 7], "step": 62, "ordinal_position": 63}, {"identifier": "L59", "position": [11, 7], "step": 63, "ordinal_position": 64}, {"identifier": "F39", "position": [10, 7], "step": 64, "ordinal_position": 65}, {"identifier": "H14", "position": [9, 7], "step": 65, "ordinal_position": 66}, {"identifier": "A81", "position": [9, 8], "step": 66, "ordinal_position": 67}, {"identifier": "K09", "position": [9, 9], "step": 67, "ordinal_position": 68}, {"identifier": "B64", "position": [9, 10], "step": 68, "ordinal_position": 69}, {"identifier": "C10", "position": [9, 11], "step": 69, "ordinal_position": 70}, {"identifier": "F53", "position": [9, 12], "step": 70, "ordinal_position": 71}, {"identifier": "O78", "position": [9, 13], "step": 71, "ordinal_position": 72}, {"identifier": "K33", "position": [9, 14], "step": 72, "ordinal_position": 73}, {"identifier": "R70", "position": [9, 15], "step": 73, "ordinal_position": 74}, {"identifier": "O95", "position": [9, 16], "step": 74, "ordinal_position": 75}, {"identifier": "J09", "position": [9, 17], "step": 75, "ordinal_position": 76}, {"identifier": "M98", "position": [9, 18], "step": 76, "ordinal_position": 77}, {"identifier": "X20", "position": [9, 19], "step": 77, "ordinal_position": 78}, {"identifier": "P89", "position": [8, 19], "step": 78, "ordinal_position": 79}, {"identifier": "Z60", "position": [7, 19], "step": 79, "ordinal_position": 80}, {"identifier": "A97", "position": [6, 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93}, {"identifier": "C53", "position": [3, 13], "step": 93, "ordinal_position": 94}, {"identifier": "U81", "position": [2, 13], "step": 94, "ordinal_position": 95}, {"identifier": "C72", "position": [1, 13], "step": 95, "ordinal_position": 96}, {"identifier": "B95", "position": [1, 12], "step": 96, "ordinal_position": 97}, {"identifier": "G31", "position": [1, 11], "step": 97, "ordinal_position": 98}, {"identifier": "T53", "position": [1, 10], "step": 98, "ordinal_position": 99}, {"identifier": "I17", "position": [1, 9], "step": 99, "ordinal_position": 100}, {"identifier": "H98", "position": [1, 8], "step": 100, "ordinal_position": 101}, {"identifier": "Y08", "position": [1, 7], "step": 101, "ordinal_position": 102}, {"identifier": "C04", "position": [1, 6], "step": 102, "ordinal_position": 103}, {"identifier": "O39", "position": [1, 5], "step": 103, "ordinal_position": 104}, {"identifier": "H19", "position": [1, 4], "step": 104, "ordinal_position": 105}, {"identifier": "G00", "position": [1, 3], "step": 105, "ordinal_position": 106}, {"identifier": "L52", "position": [1, 2], "step": 106, "ordinal_position": 107}, {"identifier": "C85", "position": [1, 1], "step": 107, "ordinal_position": 108}, {"identifier": "D96", "position": [2, 1], "step": 108, "ordinal_position": 109}, {"identifier": "S09", "position": [3, 1], "step": 109, "ordinal_position": 110}, {"identifier": "R95", "position": [4, 1], "step": 110, "ordinal_position": 111}, {"identifier": "P75", "position": [5, 1], "step": 111, "ordinal_position": 112}, {"identifier": "T49", "position": [6, 1], "step": 112, "ordinal_position": 113}, {"identifier": "C80", "position": [7, 1], "step": 113, "ordinal_position": 114}, {"identifier": "X67", "position": [7, 2], "step": 114, "ordinal_position": 115}, {"identifier": "V34", "position": [7, 3], "step": 115, "ordinal_position": 116}, {"identifier": "E59", "position": [7, 4], "step": 116, "ordinal_position": 117}, {"identifier": "Y67", "position": [7, 5], "step": 117, "ordinal_position": 118}, {"identifier": "C05", "position": [8, 5], "step": 118, "ordinal_position": 119}, {"identifier": "H03", "position": [9, 5], "step": 119, "ordinal_position": 120}, {"identifier": "U39", "position": [10, 5], "step": 120, "ordinal_position": 121}, {"identifier": "W86", "position": [11, 5], "step": 121, "ordinal_position": 122}, {"identifier": "J34", "position": [12, 5], "step": 122, "ordinal_position": 123}, {"identifier": "Y73", "position": [13, 5], "step": 123, "ordinal_position": 124}, {"identifier": "V83", "position": [14, 5], "step": 124, "ordinal_position": 125}, {"identifier": "Y97", "position": [15, 5], "step": 125, "ordinal_position": 126}, {"identifier": "M13", "position": [16, 5], "step": 126, "ordinal_position": 127}, {"identifier": "O90", "position": [17, 5], "step": 127, "ordinal_position": 128}, {"identifier": "B04", "position": [17, 6], "step": 128, "ordinal_position": 129}, {"identifier": "S87", "position": [17, 7], "step": 129, "ordinal_position": 130}, {"identifier": "U97", "position": [17, 8], "step": 130, "ordinal_position": 131}, {"identifier": "U28", "position": [17, 9], "step": 131, "ordinal_position": 132}, {"identifier": "J21", "position": [17, 10], "step": 132, "ordinal_position": 133}, {"identifier": "N92", "position": [17, 11], "step": 133, "ordinal_position": 134}, {"identifier": "W79", "position": [16, 11], "step": 134, "ordinal_position": 135}, {"identifier": "Q65", "position": [15, 11], "step": 135, "ordinal_position": 136}, {"identifier": "M56", "position": [15, 10], "step": 136, "ordinal_position": 137}, {"identifier": "Q29", "position": [15, 9], "step": 137, "ordinal_position": 138}, {"identifier": "A31", "position": [15, 8], "step": 138, "ordinal_position": 139}, {"identifier": "X83", "position": [15, 7], "step": 139, "ordinal_position": 140}, {"identifier": "N67", "position": [14, 7], "step": 140, "ordinal_position": 141}, {"identifier": "B19", "position": [13, 7], "step": 141, "ordinal_position": 142}, {"identifier": "W74", "position": [12, 7], "step": 142, "ordinal_position": 143}, {"identifier": "L59", "position": [11, 7], "step": 143, "ordinal_position": 144}, {"identifier": "F39", "position": [10, 7], "step": 144, "ordinal_position": 145}, {"identifier": "H14", "position": [9, 7], "step": 145, "ordinal_position": 146}, {"identifier": "A81", "position": [9, 8], "step": 146, "ordinal_position": 147}, {"identifier": "K09", "position": [9, 9], "step": 147, "ordinal_position": 148}, {"identifier": "B64", "position": [9, 10], "step": 148, "ordinal_position": 149}, {"identifier": "C10", "position": [9, 11], "step": 149, "ordinal_position": 150}, {"identifier": "F53", "position": [9, 12], "step": 150, "ordinal_position": 151}, {"identifier": "O78", "position": [9, 13], "step": 151, "ordinal_position": 152}, {"identifier": "K33", "position": [9, 14], "step": 152, "ordinal_position": 153}, {"identifier": "R70", "position": [9, 15], "step": 153, "ordinal_position": 154}, {"identifier": "O95", "position": [9, 16], "step": 154, "ordinal_position": 155}, {"identifier": "J09", "position": [9, 17], "step": 155, "ordinal_position": 156}, {"identifier": "M98", "position": [9, 18], "step": 156, "ordinal_position": 157}, {"identifier": "X20", "position": [9, 19], "step": 157, "ordinal_position": 158}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 158, "direction": "left", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_014.json"}} {"qa_id": "741e3e6dfb084edd90a222eb16297700", "image_id": "L3-MazeLoop-test_21x21_014", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D69, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 278th position in this traversal?", "start_object_id": "D69", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [278], "ordinal_strings": ["278th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "K16", "traversal_path": [{"identifier": "D69", "position": [18, 19], "step": 0, "ordinal_position": 1}, {"identifier": "D14", "position": [19, 19], "step": 1, "ordinal_position": 2}, {"identifier": "B14", "position": [19, 18], "step": 2, "ordinal_position": 3}, {"identifier": "Y38", "position": [19, 17], "step": 3, "ordinal_position": 4}, {"identifier": "J25", "position": [19, 16], "step": 4, "ordinal_position": 5}, {"identifier": "H04", "position": [19, 15], "step": 5, "ordinal_position": 6}, {"identifier": "O43", "position": [19, 14], "step": 6, "ordinal_position": 7}, {"identifier": "D04", "position": [19, 13], "step": 7, "ordinal_position": 8}, {"identifier": "R30", "position": [19, 12], "step": 8, "ordinal_position": 9}, {"identifier": "M72", "position": [19, 11], "step": 9, "ordinal_position": 10}, {"identifier": "I85", "position": [19, 10], "step": 10, "ordinal_position": 11}, {"identifier": "Z65", "position": [19, 9], "step": 11, "ordinal_position": 12}, {"identifier": "M48", "position": [19, 8], "step": 12, "ordinal_position": 13}, {"identifier": "K16", "position": [19, 7], "step": 13, "ordinal_position": 14}, {"identifier": "T28", "position": [19, 6], "step": 14, "ordinal_position": 15}, {"identifier": "L55", "position": [19, 5], "step": 15, "ordinal_position": 16}, {"identifier": "E93", "position": [19, 4], "step": 16, "ordinal_position": 17}, {"identifier": "C42", "position": [19, 3], "step": 17, "ordinal_position": 18}, {"identifier": "V37", "position": [19, 2], "step": 18, "ordinal_position": 19}, {"identifier": "M01", "position": [19, 1], "step": 19, "ordinal_position": 20}, {"identifier": "E57", "position": [18, 1], "step": 20, "ordinal_position": 21}, {"identifier": "M73", "position": [17, 1], "step": 21, "ordinal_position": 22}, {"identifier": "O67", "position": [16, 1], "step": 22, "ordinal_position": 23}, {"identifier": "I93", "position": [15, 1], "step": 23, "ordinal_position": 24}, {"identifier": "C27", "position": [15, 2], "step": 24, "ordinal_position": 25}, {"identifier": "L54", "position": [15, 3], "step": 25, "ordinal_position": 26}, {"identifier": "R36", "position": [14, 3], "step": 26, "ordinal_position": 27}, {"identifier": "J65", "position": [13, 3], "step": 27, "ordinal_position": 28}, {"identifier": "F38", "position": [13, 2], "step": 28, "ordinal_position": 29}, {"identifier": "F05", "position": [13, 1], "step": 29, "ordinal_position": 30}, {"identifier": "L11", "position": [12, 1], "step": 30, "ordinal_position": 31}, {"identifier": "F60", "position": [11, 1], "step": 31, "ordinal_position": 32}, {"identifier": "H52", "position": [10, 1], "step": 32, "ordinal_position": 33}, {"identifier": "E68", "position": [9, 1], "step": 33, "ordinal_position": 34}, {"identifier": "A19", "position": [9, 2], "step": 34, "ordinal_position": 35}, {"identifier": "P88", "position": [9, 3], "step": 35, "ordinal_position": 36}, {"identifier": "O89", "position": [8, 3], "step": 36, "ordinal_position": 37}, {"identifier": "V34", "position": [7, 3], "step": 37, "ordinal_position": 38}, {"identifier": "X67", "position": [7, 2], "step": 38, "ordinal_position": 39}, {"identifier": "C80", "position": [7, 1], "step": 39, "ordinal_position": 40}, {"identifier": "T49", "position": [6, 1], "step": 40, "ordinal_position": 41}, {"identifier": "P75", "position": [5, 1], "step": 41, "ordinal_position": 42}, {"identifier": "R95", "position": [4, 1], "step": 42, "ordinal_position": 43}, {"identifier": "S09", "position": [3, 1], "step": 43, "ordinal_position": 44}, {"identifier": "D96", "position": [2, 1], "step": 44, "ordinal_position": 45}, {"identifier": "C85", "position": [1, 1], "step": 45, "ordinal_position": 46}, {"identifier": "L52", "position": [1, 2], "step": 46, "ordinal_position": 47}, {"identifier": "G00", "position": [1, 3], "step": 47, "ordinal_position": 48}, {"identifier": "H19", "position": [1, 4], "step": 48, "ordinal_position": 49}, {"identifier": "O39", "position": [1, 5], "step": 49, "ordinal_position": 50}, {"identifier": "C04", "position": [1, 6], "step": 50, "ordinal_position": 51}, {"identifier": "Y08", "position": [1, 7], "step": 51, "ordinal_position": 52}, {"identifier": "H98", "position": [1, 8], "step": 52, "ordinal_position": 53}, {"identifier": "I17", "position": [1, 9], "step": 53, "ordinal_position": 54}, {"identifier": "T53", "position": [1, 10], "step": 54, "ordinal_position": 55}, {"identifier": "G31", "position": [1, 11], "step": 55, "ordinal_position": 56}, {"identifier": "B95", "position": [1, 12], "step": 56, "ordinal_position": 57}, {"identifier": "C72", "position": [1, 13], "step": 57, "ordinal_position": 58}, {"identifier": "U81", "position": [2, 13], "step": 58, "ordinal_position": 59}, {"identifier": "C53", "position": [3, 13], "step": 59, "ordinal_position": 60}, {"identifier": "V86", "position": [3, 14], "step": 60, "ordinal_position": 61}, {"identifier": "B89", "position": [3, 15], "step": 61, "ordinal_position": 62}, {"identifier": "W75", "position": [2, 15], "step": 62, "ordinal_position": 63}, {"identifier": "A62", "position": [1, 15], "step": 63, "ordinal_position": 64}, {"identifier": "N65", "position": [1, 16], "step": 64, "ordinal_position": 65}, {"identifier": "E62", "position": [1, 17], "step": 65, "ordinal_position": 66}, {"identifier": "P42", "position": [1, 18], "step": 66, "ordinal_position": 67}, {"identifier": "V44", "position": [1, 19], "step": 67, "ordinal_position": 68}, {"identifier": "P26", "position": [2, 19], "step": 68, "ordinal_position": 69}, {"identifier": "U69", "position": [3, 19], "step": 69, "ordinal_position": 70}, {"identifier": "I29", "position": [3, 18], "step": 70, "ordinal_position": 71}, {"identifier": "H76", "position": [3, 17], "step": 71, "ordinal_position": 72}, {"identifier": "O97", "position": [4, 17], "step": 72, "ordinal_position": 73}, {"identifier": "M30", "position": [5, 17], "step": 73, "ordinal_position": 74}, {"identifier": "F47", "position": [5, 18], "step": 74, "ordinal_position": 75}, {"identifier": "M66", "position": [5, 19], "step": 75, "ordinal_position": 76}, {"identifier": "A97", "position": [6, 19], "step": 76, "ordinal_position": 77}, {"identifier": "Z60", "position": [7, 19], "step": 77, "ordinal_position": 78}, {"identifier": "P89", "position": [8, 19], "step": 78, "ordinal_position": 79}, {"identifier": "X20", "position": [9, 19], "step": 79, "ordinal_position": 80}, {"identifier": "U77", "position": [10, 19], "step": 80, "ordinal_position": 81}, {"identifier": "M11", "position": [11, 19], "step": 81, "ordinal_position": 82}, {"identifier": "Q49", "position": [12, 19], "step": 82, "ordinal_position": 83}, {"identifier": "R46", "position": [13, 19], "step": 83, "ordinal_position": 84}, {"identifier": "E39", "position": [14, 19], "step": 84, "ordinal_position": 85}, {"identifier": "Y34", "position": [15, 19], "step": 85, "ordinal_position": 86}, {"identifier": "Y63", "position": [16, 19], "step": 86, "ordinal_position": 87}, {"identifier": "C79", "position": [17, 19], "step": 87, "ordinal_position": 88}, {"identifier": "D69", "position": [18, 19], "step": 88, "ordinal_position": 89}, {"identifier": "D14", "position": [19, 19], "step": 89, "ordinal_position": 90}, {"identifier": "B14", "position": [19, 18], "step": 90, "ordinal_position": 91}, {"identifier": "Y38", "position": [19, 17], "step": 91, "ordinal_position": 92}, {"identifier": "J25", "position": [19, 16], "step": 92, "ordinal_position": 93}, {"identifier": "H04", "position": [19, 15], "step": 93, "ordinal_position": 94}, {"identifier": "O43", "position": [19, 14], "step": 94, "ordinal_position": 95}, {"identifier": "D04", "position": [19, 13], "step": 95, "ordinal_position": 96}, {"identifier": "R30", "position": [19, 12], "step": 96, "ordinal_position": 97}, {"identifier": "M72", "position": [19, 11], "step": 97, "ordinal_position": 98}, {"identifier": "I85", "position": [19, 10], "step": 98, "ordinal_position": 99}, {"identifier": "Z65", "position": [19, 9], "step": 99, "ordinal_position": 100}, {"identifier": "M48", "position": [19, 8], "step": 100, "ordinal_position": 101}, {"identifier": "K16", "position": [19, 7], "step": 101, "ordinal_position": 102}, {"identifier": "T28", "position": [19, 6], "step": 102, "ordinal_position": 103}, {"identifier": "L55", "position": [19, 5], "step": 103, "ordinal_position": 104}, {"identifier": "E93", "position": [19, 4], "step": 104, "ordinal_position": 105}, {"identifier": "C42", "position": [19, 3], "step": 105, "ordinal_position": 106}, {"identifier": "V37", "position": [19, 2], "step": 106, "ordinal_position": 107}, {"identifier": "M01", "position": [19, 1], "step": 107, "ordinal_position": 108}, {"identifier": "E57", "position": [18, 1], "step": 108, "ordinal_position": 109}, {"identifier": "M73", "position": [17, 1], "step": 109, "ordinal_position": 110}, {"identifier": "O67", "position": [16, 1], "step": 110, "ordinal_position": 111}, {"identifier": "I93", "position": [15, 1], "step": 111, "ordinal_position": 112}, {"identifier": "C27", "position": [15, 2], "step": 112, "ordinal_position": 113}, {"identifier": "L54", "position": [15, 3], "step": 113, "ordinal_position": 114}, {"identifier": "R36", "position": [14, 3], "step": 114, "ordinal_position": 115}, {"identifier": "J65", "position": [13, 3], "step": 115, "ordinal_position": 116}, {"identifier": "F38", "position": [13, 2], "step": 116, "ordinal_position": 117}, {"identifier": "F05", "position": [13, 1], "step": 117, "ordinal_position": 118}, {"identifier": "L11", "position": [12, 1], "step": 118, "ordinal_position": 119}, {"identifier": "F60", "position": [11, 1], "step": 119, "ordinal_position": 120}, {"identifier": "H52", "position": [10, 1], "step": 120, "ordinal_position": 121}, {"identifier": "E68", "position": [9, 1], "step": 121, "ordinal_position": 122}, {"identifier": "A19", "position": [9, 2], "step": 122, "ordinal_position": 123}, {"identifier": "P88", "position": [9, 3], "step": 123, "ordinal_position": 124}, {"identifier": "O89", "position": [8, 3], "step": 124, "ordinal_position": 125}, {"identifier": "V34", "position": [7, 3], "step": 125, "ordinal_position": 126}, {"identifier": "X67", "position": 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"ordinal_position": 139}, {"identifier": "Y08", "position": [1, 7], "step": 139, "ordinal_position": 140}, {"identifier": "H98", "position": [1, 8], "step": 140, "ordinal_position": 141}, {"identifier": "I17", "position": [1, 9], "step": 141, "ordinal_position": 142}, {"identifier": "T53", "position": [1, 10], "step": 142, "ordinal_position": 143}, {"identifier": "G31", "position": [1, 11], "step": 143, "ordinal_position": 144}, {"identifier": "B95", "position": [1, 12], "step": 144, "ordinal_position": 145}, {"identifier": "C72", "position": [1, 13], "step": 145, "ordinal_position": 146}, {"identifier": "U81", "position": [2, 13], "step": 146, "ordinal_position": 147}, {"identifier": "C53", "position": [3, 13], "step": 147, "ordinal_position": 148}, {"identifier": "V86", "position": [3, 14], "step": 148, "ordinal_position": 149}, {"identifier": "B89", "position": [3, 15], "step": 149, "ordinal_position": 150}, {"identifier": "W75", "position": [2, 15], "step": 150, "ordinal_position": 151}, {"identifier": "A62", "position": [1, 15], "step": 151, "ordinal_position": 152}, {"identifier": "N65", "position": [1, 16], "step": 152, "ordinal_position": 153}, {"identifier": "E62", "position": [1, 17], "step": 153, "ordinal_position": 154}, {"identifier": "P42", "position": [1, 18], "step": 154, "ordinal_position": 155}, {"identifier": "V44", "position": [1, 19], "step": 155, "ordinal_position": 156}, {"identifier": "P26", "position": [2, 19], "step": 156, "ordinal_position": 157}, {"identifier": "U69", "position": [3, 19], "step": 157, "ordinal_position": 158}, {"identifier": "I29", "position": [3, 18], "step": 158, "ordinal_position": 159}, {"identifier": "H76", "position": [3, 17], "step": 159, "ordinal_position": 160}, {"identifier": "O97", "position": [4, 17], "step": 160, "ordinal_position": 161}, {"identifier": "M30", "position": [5, 17], "step": 161, "ordinal_position": 162}, {"identifier": "F47", "position": [5, 18], "step": 162, "ordinal_position": 163}, {"identifier": "M66", "position": [5, 19], "step": 163, "ordinal_position": 164}, {"identifier": "A97", "position": [6, 19], "step": 164, "ordinal_position": 165}, {"identifier": "Z60", "position": [7, 19], "step": 165, "ordinal_position": 166}, {"identifier": "P89", "position": [8, 19], "step": 166, "ordinal_position": 167}, {"identifier": "X20", "position": [9, 19], "step": 167, "ordinal_position": 168}, {"identifier": "U77", "position": [10, 19], "step": 168, "ordinal_position": 169}, {"identifier": "M11", "position": [11, 19], "step": 169, "ordinal_position": 170}, {"identifier": "Q49", "position": [12, 19], "step": 170, "ordinal_position": 171}, {"identifier": "R46", "position": [13, 19], "step": 171, "ordinal_position": 172}, {"identifier": "E39", "position": [14, 19], "step": 172, "ordinal_position": 173}, {"identifier": "Y34", "position": [15, 19], "step": 173, "ordinal_position": 174}, {"identifier": "Y63", "position": [16, 19], "step": 174, "ordinal_position": 175}, 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{"identifier": "Z65", "position": [19, 9], "step": 187, "ordinal_position": 188}, {"identifier": "M48", "position": [19, 8], "step": 188, "ordinal_position": 189}, {"identifier": "K16", "position": [19, 7], "step": 189, "ordinal_position": 190}, {"identifier": "T28", "position": [19, 6], "step": 190, "ordinal_position": 191}, {"identifier": "L55", "position": [19, 5], "step": 191, "ordinal_position": 192}, {"identifier": "E93", "position": [19, 4], "step": 192, "ordinal_position": 193}, {"identifier": "C42", "position": [19, 3], "step": 193, "ordinal_position": 194}, {"identifier": "V37", "position": [19, 2], "step": 194, "ordinal_position": 195}, {"identifier": "M01", "position": [19, 1], "step": 195, "ordinal_position": 196}, {"identifier": "E57", "position": [18, 1], "step": 196, "ordinal_position": 197}, {"identifier": "M73", "position": [17, 1], "step": 197, "ordinal_position": 198}, {"identifier": "O67", "position": [16, 1], "step": 198, "ordinal_position": 199}, {"identifier": "I93", "position": [15, 1], "step": 199, "ordinal_position": 200}, {"identifier": "C27", "position": [15, 2], "step": 200, "ordinal_position": 201}, {"identifier": "L54", "position": [15, 3], "step": 201, "ordinal_position": 202}, {"identifier": "R36", "position": [14, 3], "step": 202, "ordinal_position": 203}, {"identifier": "J65", "position": [13, 3], "step": 203, "ordinal_position": 204}, {"identifier": "F38", "position": [13, 2], "step": 204, "ordinal_position": 205}, {"identifier": "F05", "position": [13, 1], "step": 205, "ordinal_position": 206}, {"identifier": "L11", "position": [12, 1], "step": 206, "ordinal_position": 207}, {"identifier": "F60", "position": [11, 1], "step": 207, "ordinal_position": 208}, {"identifier": "H52", "position": [10, 1], "step": 208, "ordinal_position": 209}, {"identifier": "E68", "position": [9, 1], "step": 209, "ordinal_position": 210}, {"identifier": "A19", "position": [9, 2], "step": 210, "ordinal_position": 211}, {"identifier": "P88", "position": [9, 3], "step": 211, "ordinal_position": 212}, {"identifier": "O89", "position": [8, 3], "step": 212, "ordinal_position": 213}, {"identifier": "V34", "position": [7, 3], "step": 213, "ordinal_position": 214}, {"identifier": "X67", "position": [7, 2], "step": 214, "ordinal_position": 215}, {"identifier": "C80", "position": [7, 1], "step": 215, "ordinal_position": 216}, {"identifier": "T49", "position": [6, 1], "step": 216, "ordinal_position": 217}, {"identifier": "P75", "position": [5, 1], "step": 217, "ordinal_position": 218}, {"identifier": "R95", "position": [4, 1], "step": 218, "ordinal_position": 219}, {"identifier": "S09", "position": [3, 1], "step": 219, "ordinal_position": 220}, {"identifier": "D96", "position": [2, 1], "step": 220, "ordinal_position": 221}, {"identifier": "C85", "position": [1, 1], "step": 221, "ordinal_position": 222}, {"identifier": "L52", "position": [1, 2], "step": 222, "ordinal_position": 223}, {"identifier": "G00", "position": [1, 3], "step": 223, "ordinal_position": 224}, {"identifier": "H19", "position": [1, 4], "step": 224, "ordinal_position": 225}, {"identifier": "O39", "position": [1, 5], "step": 225, "ordinal_position": 226}, {"identifier": "C04", "position": [1, 6], "step": 226, "ordinal_position": 227}, {"identifier": "Y08", "position": [1, 7], "step": 227, "ordinal_position": 228}, {"identifier": "H98", "position": [1, 8], "step": 228, "ordinal_position": 229}, {"identifier": "I17", "position": [1, 9], "step": 229, "ordinal_position": 230}, {"identifier": "T53", "position": [1, 10], "step": 230, "ordinal_position": 231}, {"identifier": "G31", "position": [1, 11], "step": 231, "ordinal_position": 232}, {"identifier": "B95", "position": [1, 12], "step": 232, "ordinal_position": 233}, {"identifier": "C72", "position": [1, 13], "step": 233, "ordinal_position": 234}, {"identifier": "U81", "position": [2, 13], "step": 234, "ordinal_position": 235}, {"identifier": "C53", "position": [3, 13], "step": 235, "ordinal_position": 236}, {"identifier": "V86", "position": [3, 14], "step": 236, "ordinal_position": 237}, {"identifier": "B89", "position": [3, 15], "step": 237, "ordinal_position": 238}, {"identifier": "W75", "position": [2, 15], "step": 238, "ordinal_position": 239}, {"identifier": "A62", "position": [1, 15], "step": 239, "ordinal_position": 240}, {"identifier": "N65", "position": [1, 16], "step": 240, "ordinal_position": 241}, {"identifier": "E62", "position": [1, 17], "step": 241, "ordinal_position": 242}, {"identifier": "P42", "position": [1, 18], "step": 242, "ordinal_position": 243}, {"identifier": "V44", "position": [1, 19], "step": 243, "ordinal_position": 244}, {"identifier": "P26", "position": [2, 19], "step": 244, "ordinal_position": 245}, {"identifier": "U69", "position": [3, 19], "step": 245, "ordinal_position": 246}, {"identifier": "I29", "position": [3, 18], "step": 246, "ordinal_position": 247}, {"identifier": "H76", "position": [3, 17], "step": 247, "ordinal_position": 248}, {"identifier": "O97", "position": [4, 17], "step": 248, "ordinal_position": 249}, {"identifier": "M30", "position": [5, 17], "step": 249, "ordinal_position": 250}, {"identifier": "F47", "position": [5, 18], "step": 250, "ordinal_position": 251}, {"identifier": "M66", "position": [5, 19], "step": 251, "ordinal_position": 252}, {"identifier": "A97", "position": [6, 19], "step": 252, "ordinal_position": 253}, {"identifier": "Z60", "position": [7, 19], "step": 253, "ordinal_position": 254}, {"identifier": "P89", "position": [8, 19], "step": 254, "ordinal_position": 255}, {"identifier": "X20", "position": [9, 19], "step": 255, "ordinal_position": 256}, {"identifier": "U77", "position": [10, 19], "step": 256, "ordinal_position": 257}, {"identifier": "M11", "position": [11, 19], "step": 257, "ordinal_position": 258}, {"identifier": "Q49", "position": [12, 19], "step": 258, "ordinal_position": 259}, {"identifier": "R46", "position": [13, 19], "step": 259, "ordinal_position": 260}, {"identifier": "E39", "position": [14, 19], "step": 260, "ordinal_position": 261}, {"identifier": "Y34", "position": [15, 19], "step": 261, "ordinal_position": 262}, {"identifier": "Y63", "position": [16, 19], "step": 262, "ordinal_position": 263}, {"identifier": "C79", "position": [17, 19], "step": 263, "ordinal_position": 264}, {"identifier": "D69", "position": [18, 19], "step": 264, "ordinal_position": 265}, {"identifier": "D14", "position": [19, 19], "step": 265, "ordinal_position": 266}, {"identifier": "B14", "position": [19, 18], "step": 266, "ordinal_position": 267}, {"identifier": "Y38", "position": [19, 17], "step": 267, "ordinal_position": 268}, {"identifier": "J25", "position": [19, 16], "step": 268, "ordinal_position": 269}, {"identifier": "H04", "position": [19, 15], "step": 269, "ordinal_position": 270}, {"identifier": "O43", "position": [19, 14], "step": 270, "ordinal_position": 271}, {"identifier": "D04", "position": [19, 13], "step": 271, "ordinal_position": 272}, {"identifier": "R30", "position": [19, 12], "step": 272, "ordinal_position": 273}, {"identifier": "M72", "position": [19, 11], "step": 273, "ordinal_position": 274}, {"identifier": "I85", "position": [19, 10], "step": 274, "ordinal_position": 275}, {"identifier": "Z65", "position": [19, 9], "step": 275, "ordinal_position": 276}, {"identifier": "M48", "position": [19, 8], "step": 276, "ordinal_position": 277}, {"identifier": "K16", "position": [19, 7], "step": 277, "ordinal_position": 278}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 278, "direction": "right", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_014.json"}} {"qa_id": "8aa6573d800c4634aa6b6e0c2cd9b58f", "image_id": "L3-MazeLoop-test_21x21_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z99, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "Z99", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "S10", "traversal_path": [{"identifier": "Z99", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "B17", "position": [2, 3], "step": 1, "ordinal_position": 2}, {"identifier": "K31", "position": [1, 3], "step": 2, "ordinal_position": 3}, {"identifier": "L15", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "S10", "position": [1, 1], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 5, "direction": "left", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_015.json"}} {"qa_id": "35e8ad5fd1d94a55a65e7859b8733069", "image_id": "L3-MazeLoop-test_21x21_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B24, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "B24", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "G80", "traversal_path": [{"identifier": "B24", "position": [7, 6], "step": 0, "ordinal_position": 1}, {"identifier": "S39", "position": [7, 7], "step": 1, "ordinal_position": 2}, {"identifier": "G80", "position": [7, 8], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 3, "direction": "down", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_015.json"}} {"qa_id": "bb45eff291834b989489c830144490c5", "image_id": "L3-MazeLoop-test_21x21_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G43, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "G43", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "I02", "traversal_path": [{"identifier": "G43", "position": [16, 11], "step": 0, "ordinal_position": 1}, {"identifier": "J33", "position": [15, 11], "step": 1, "ordinal_position": 2}, {"identifier": "S61", "position": [14, 11], "step": 2, "ordinal_position": 3}, {"identifier": "I02", "position": [13, 11], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 4, "direction": "left", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_015.json"}} {"qa_id": "70a3fd4a75d044e4bbf2927cea853261", "image_id": "L3-MazeLoop-test_21x21_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N17, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 11th position in this traversal?", "start_object_id": "N17", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [11], "ordinal_strings": ["11th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "U91", "traversal_path": [{"identifier": "N17", "position": [13, 12], "step": 0, "ordinal_position": 1}, {"identifier": "K27", "position": [13, 13], "step": 1, "ordinal_position": 2}, {"identifier": "D95", "position": [13, 14], "step": 2, "ordinal_position": 3}, {"identifier": "T17", "position": [13, 15], "step": 3, "ordinal_position": 4}, {"identifier": "G60", "position": [12, 15], "step": 4, "ordinal_position": 5}, {"identifier": "P60", "position": [11, 15], "step": 5, "ordinal_position": 6}, {"identifier": "C67", "position": [11, 14], "step": 6, "ordinal_position": 7}, {"identifier": "T08", "position": [11, 13], "step": 7, "ordinal_position": 8}, {"identifier": "E61", "position": [11, 12], "step": 8, "ordinal_position": 9}, {"identifier": "A32", "position": [11, 11], "step": 9, "ordinal_position": 10}, {"identifier": "U91", "position": [10, 11], "step": 10, "ordinal_position": 11}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 11, "direction": "down", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_015.json"}} {"qa_id": "40511c40df754201916f01b2cde18277", "image_id": "L3-MazeLoop-test_21x21_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q18, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 13th position in this traversal?", "start_object_id": "Q18", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [13], "ordinal_strings": ["13th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "C98", "traversal_path": [{"identifier": "Q18", "position": [15, 3], "step": 0, "ordinal_position": 1}, {"identifier": "T46", "position": [15, 2], "step": 1, "ordinal_position": 2}, {"identifier": "K68", "position": [15, 1], "step": 2, "ordinal_position": 3}, {"identifier": "K72", "position": [16, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Y16", "position": [17, 1], "step": 4, "ordinal_position": 5}, {"identifier": "V92", "position": [18, 1], "step": 5, "ordinal_position": 6}, {"identifier": "I79", "position": [19, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Q57", "position": [19, 2], "step": 7, "ordinal_position": 8}, {"identifier": "X39", "position": [19, 3], "step": 8, "ordinal_position": 9}, {"identifier": "Y42", "position": [19, 4], "step": 9, "ordinal_position": 10}, {"identifier": "K51", "position": [19, 5], "step": 10, "ordinal_position": 11}, {"identifier": "Q59", "position": [19, 6], "step": 11, "ordinal_position": 12}, {"identifier": "C98", "position": [19, 7], "step": 12, "ordinal_position": 13}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 13, "direction": "up", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_015.json"}} {"qa_id": "6942cf73d7be4c669c0ba78b7602e06a", "image_id": "L3-MazeLoop-test_21x21_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V29, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 71st position in this traversal?", "start_object_id": "V29", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [71], "ordinal_strings": ["71st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "U91", "traversal_path": [{"identifier": "V29", "position": [2, 15], "step": 0, "ordinal_position": 1}, {"identifier": "H00", "position": [1, 15], "step": 1, "ordinal_position": 2}, {"identifier": "P61", "position": [1, 14], "step": 2, "ordinal_position": 3}, {"identifier": "T26", "position": [1, 13], "step": 3, "ordinal_position": 4}, {"identifier": "X34", "position": [1, 12], "step": 4, "ordinal_position": 5}, {"identifier": "R71", "position": [1, 11], "step": 5, "ordinal_position": 6}, {"identifier": "T89", "position": [1, 10], "step": 6, "ordinal_position": 7}, {"identifier": "P92", "position": [1, 9], "step": 7, "ordinal_position": 8}, {"identifier": "T18", "position": [2, 9], "step": 8, "ordinal_position": 9}, {"identifier": "D64", "position": [3, 9], "step": 9, "ordinal_position": 10}, {"identifier": "Y03", "position": [3, 10], "step": 10, "ordinal_position": 11}, {"identifier": "S09", "position": [3, 11], "step": 11, "ordinal_position": 12}, {"identifier": "N57", "position": [4, 11], "step": 12, "ordinal_position": 13}, {"identifier": "W69", "position": [5, 11], "step": 13, "ordinal_position": 14}, {"identifier": "F39", "position": [6, 11], "step": 14, "ordinal_position": 15}, {"identifier": "E45", "position": [7, 11], "step": 15, "ordinal_position": 16}, {"identifier": "M96", "position": [8, 11], "step": 16, "ordinal_position": 17}, {"identifier": "R09", "position": [9, 11], "step": 17, "ordinal_position": 18}, {"identifier": "U91", "position": [10, 11], "step": 18, "ordinal_position": 19}, {"identifier": "A32", "position": [11, 11], "step": 19, "ordinal_position": 20}, {"identifier": "E61", "position": [11, 12], "step": 20, "ordinal_position": 21}, {"identifier": "T08", "position": [11, 13], "step": 21, "ordinal_position": 22}, {"identifier": "C67", "position": [11, 14], "step": 22, "ordinal_position": 23}, {"identifier": "P60", "position": [11, 15], "step": 23, "ordinal_position": 24}, {"identifier": "G60", "position": [12, 15], "step": 24, "ordinal_position": 25}, {"identifier": "T17", "position": [13, 15], "step": 25, "ordinal_position": 26}, {"identifier": "K70", "position": [14, 15], "step": 26, "ordinal_position": 27}, {"identifier": "M82", "position": [15, 15], "step": 27, "ordinal_position": 28}, {"identifier": "R19", "position": [15, 14], "step": 28, "ordinal_position": 29}, {"identifier": "K65", "position": [15, 13], "step": 29, "ordinal_position": 30}, {"identifier": "G96", "position": [16, 13], "step": 30, "ordinal_position": 31}, {"identifier": "G58", "position": [17, 13], "step": 31, "ordinal_position": 32}, {"identifier": "O03", "position": [17, 14], "step": 32, "ordinal_position": 33}, {"identifier": "N20", "position": [17, 15], "step": 33, "ordinal_position": 34}, {"identifier": "L10", "position": [17, 16], "step": 34, "ordinal_position": 35}, {"identifier": "O78", "position": [17, 17], "step": 35, "ordinal_position": 36}, {"identifier": "V21", "position": [16, 17], "step": 36, "ordinal_position": 37}, {"identifier": "Q34", "position": [15, 17], "step": 37, "ordinal_position": 38}, {"identifier": "L05", "position": [14, 17], "step": 38, "ordinal_position": 39}, {"identifier": "G28", "position": [13, 17], "step": 39, "ordinal_position": 40}, {"identifier": "H57", "position": [12, 17], "step": 40, "ordinal_position": 41}, {"identifier": "S51", "position": [11, 17], "step": 41, "ordinal_position": 42}, {"identifier": "N46", "position": [10, 17], "step": 42, "ordinal_position": 43}, {"identifier": "C22", "position": [9, 17], "step": 43, "ordinal_position": 44}, {"identifier": "C89", "position": [9, 16], "step": 44, "ordinal_position": 45}, {"identifier": "I74", "position": [9, 15], "step": 45, "ordinal_position": 46}, {"identifier": "Z13", "position": [8, 15], "step": 46, "ordinal_position": 47}, {"identifier": "C46", "position": [7, 15], "step": 47, "ordinal_position": 48}, {"identifier": "U56", "position": [6, 15], "step": 48, "ordinal_position": 49}, {"identifier": "V68", "position": [5, 15], "step": 49, "ordinal_position": 50}, {"identifier": "R27", "position": [5, 14], "step": 50, "ordinal_position": 51}, {"identifier": "B19", "position": [5, 13], "step": 51, "ordinal_position": 52}, {"identifier": "P24", "position": [4, 13], "step": 52, "ordinal_position": 53}, {"identifier": "T00", "position": [3, 13], "step": 53, "ordinal_position": 54}, {"identifier": "F63", "position": [2, 13], "step": 54, "ordinal_position": 55}, {"identifier": "T26", "position": [1, 13], "step": 55, "ordinal_position": 56}, {"identifier": "X34", "position": [1, 12], "step": 56, "ordinal_position": 57}, {"identifier": "R71", "position": [1, 11], "step": 57, "ordinal_position": 58}, {"identifier": "T89", "position": [1, 10], "step": 58, "ordinal_position": 59}, {"identifier": "P92", "position": [1, 9], "step": 59, "ordinal_position": 60}, {"identifier": "T18", "position": [2, 9], "step": 60, "ordinal_position": 61}, {"identifier": "D64", "position": [3, 9], "step": 61, "ordinal_position": 62}, {"identifier": "Y03", "position": [3, 10], "step": 62, "ordinal_position": 63}, {"identifier": "S09", "position": [3, 11], "step": 63, "ordinal_position": 64}, {"identifier": "N57", "position": [4, 11], "step": 64, "ordinal_position": 65}, {"identifier": "W69", "position": [5, 11], "step": 65, "ordinal_position": 66}, {"identifier": "F39", "position": [6, 11], "step": 66, "ordinal_position": 67}, {"identifier": "E45", "position": [7, 11], "step": 67, "ordinal_position": 68}, {"identifier": "M96", "position": [8, 11], "step": 68, "ordinal_position": 69}, {"identifier": "R09", "position": [9, 11], "step": 69, "ordinal_position": 70}, {"identifier": "U91", "position": [10, 11], "step": 70, "ordinal_position": 71}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 71, "direction": "left", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_015.json"}} {"qa_id": "128fb29fb3134dc59c964c6076d5886b", "image_id": "L3-MazeLoop-test_21x21_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K51, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 39th position in this traversal?", "start_object_id": "K51", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [39], "ordinal_strings": ["39th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "T38", "traversal_path": [{"identifier": "K51", "position": [19, 5], "step": 0, "ordinal_position": 1}, {"identifier": "Y42", "position": [19, 4], "step": 1, "ordinal_position": 2}, {"identifier": "X39", "position": [19, 3], "step": 2, "ordinal_position": 3}, {"identifier": "Q57", "position": [19, 2], "step": 3, "ordinal_position": 4}, {"identifier": "I79", "position": [19, 1], "step": 4, "ordinal_position": 5}, {"identifier": "V92", "position": [18, 1], "step": 5, "ordinal_position": 6}, {"identifier": "Y16", "position": [17, 1], "step": 6, "ordinal_position": 7}, {"identifier": "K72", "position": [16, 1], "step": 7, "ordinal_position": 8}, {"identifier": "K68", "position": [15, 1], "step": 8, "ordinal_position": 9}, {"identifier": "F32", "position": [14, 1], "step": 9, "ordinal_position": 10}, {"identifier": "W92", "position": [13, 1], "step": 10, "ordinal_position": 11}, {"identifier": "R54", "position": [12, 1], "step": 11, "ordinal_position": 12}, {"identifier": "I98", "position": [11, 1], "step": 12, "ordinal_position": 13}, {"identifier": "S00", "position": [10, 1], "step": 13, "ordinal_position": 14}, {"identifier": "I87", "position": [9, 1], "step": 14, "ordinal_position": 15}, {"identifier": "T72", "position": [8, 1], "step": 15, "ordinal_position": 16}, {"identifier": "C80", "position": [7, 1], "step": 16, "ordinal_position": 17}, {"identifier": "J92", "position": [6, 1], "step": 17, "ordinal_position": 18}, {"identifier": "V13", "position": [5, 1], "step": 18, "ordinal_position": 19}, {"identifier": "T64", "position": [4, 1], "step": 19, "ordinal_position": 20}, {"identifier": "F94", "position": [3, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Q69", "position": [2, 1], "step": 21, "ordinal_position": 22}, {"identifier": "S10", "position": [1, 1], "step": 22, "ordinal_position": 23}, {"identifier": "L15", "position": [1, 2], "step": 23, "ordinal_position": 24}, {"identifier": "K31", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "B17", "position": [2, 3], "step": 25, "ordinal_position": 26}, {"identifier": "Z99", "position": [3, 3], "step": 26, "ordinal_position": 27}, {"identifier": "I40", "position": [4, 3], "step": 27, "ordinal_position": 28}, {"identifier": "I71", "position": [5, 3], "step": 28, "ordinal_position": 29}, {"identifier": "C28", "position": [6, 3], "step": 29, "ordinal_position": 30}, {"identifier": "O08", "position": [7, 3], "step": 30, "ordinal_position": 31}, {"identifier": "G00", "position": [8, 3], "step": 31, "ordinal_position": 32}, {"identifier": "Y43", "position": [9, 3], "step": 32, "ordinal_position": 33}, {"identifier": "G11", "position": [10, 3], "step": 33, "ordinal_position": 34}, {"identifier": "Z19", "position": [11, 3], "step": 34, "ordinal_position": 35}, {"identifier": "O45", "position": [12, 3], "step": 35, "ordinal_position": 36}, {"identifier": "O47", "position": [13, 3], "step": 36, "ordinal_position": 37}, {"identifier": "J10", "position": [13, 4], "step": 37, "ordinal_position": 38}, {"identifier": "T38", "position": [13, 5], "step": 38, "ordinal_position": 39}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 39, "direction": "up", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_015.json"}} {"qa_id": "f84a6743a56e40aebc0e488ca81a86d0", "image_id": "L3-MazeLoop-test_21x21_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I02, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 99th position in this traversal?", "start_object_id": "I02", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [99], "ordinal_strings": ["99th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "X32", "traversal_path": [{"identifier": "I02", "position": [13, 11], "step": 0, "ordinal_position": 1}, {"identifier": "G69", "position": [13, 10], "step": 1, "ordinal_position": 2}, {"identifier": "X32", "position": [13, 9], "step": 2, "ordinal_position": 3}, {"identifier": "J39", "position": [14, 9], "step": 3, "ordinal_position": 4}, {"identifier": "X36", "position": [15, 9], "step": 4, "ordinal_position": 5}, {"identifier": "H20", "position": [15, 10], "step": 5, "ordinal_position": 6}, {"identifier": "J33", "position": [15, 11], "step": 6, "ordinal_position": 7}, {"identifier": "S61", "position": [14, 11], "step": 7, "ordinal_position": 8}, {"identifier": "I02", "position": [13, 11], "step": 8, "ordinal_position": 9}, {"identifier": "G69", "position": [13, 10], "step": 9, "ordinal_position": 10}, {"identifier": "X32", "position": [13, 9], "step": 10, "ordinal_position": 11}, {"identifier": "J39", "position": [14, 9], "step": 11, "ordinal_position": 12}, {"identifier": "X36", "position": [15, 9], "step": 12, "ordinal_position": 13}, {"identifier": "H20", "position": [15, 10], "step": 13, "ordinal_position": 14}, {"identifier": "J33", "position": [15, 11], "step": 14, "ordinal_position": 15}, {"identifier": "S61", "position": [14, 11], "step": 15, "ordinal_position": 16}, {"identifier": "I02", "position": [13, 11], "step": 16, "ordinal_position": 17}, {"identifier": "G69", "position": [13, 10], "step": 17, "ordinal_position": 18}, {"identifier": "X32", "position": [13, 9], "step": 18, "ordinal_position": 19}, {"identifier": "J39", "position": [14, 9], "step": 19, "ordinal_position": 20}, {"identifier": "X36", "position": [15, 9], "step": 20, "ordinal_position": 21}, {"identifier": "H20", "position": [15, 10], "step": 21, "ordinal_position": 22}, {"identifier": "J33", "position": [15, 11], "step": 22, "ordinal_position": 23}, {"identifier": "S61", "position": [14, 11], "step": 23, "ordinal_position": 24}, {"identifier": "I02", "position": [13, 11], "step": 24, "ordinal_position": 25}, {"identifier": "G69", "position": [13, 10], "step": 25, "ordinal_position": 26}, {"identifier": "X32", "position": [13, 9], "step": 26, "ordinal_position": 27}, {"identifier": "J39", "position": [14, 9], "step": 27, "ordinal_position": 28}, {"identifier": "X36", "position": [15, 9], "step": 28, "ordinal_position": 29}, {"identifier": "H20", "position": [15, 10], "step": 29, "ordinal_position": 30}, {"identifier": "J33", "position": [15, 11], "step": 30, "ordinal_position": 31}, {"identifier": "S61", "position": [14, 11], "step": 31, "ordinal_position": 32}, {"identifier": "I02", "position": [13, 11], "step": 32, "ordinal_position": 33}, {"identifier": "G69", "position": [13, 10], "step": 33, "ordinal_position": 34}, {"identifier": "X32", "position": [13, 9], "step": 34, "ordinal_position": 35}, {"identifier": "J39", "position": [14, 9], "step": 35, "ordinal_position": 36}, {"identifier": "X36", "position": [15, 9], "step": 36, "ordinal_position": 37}, {"identifier": "H20", "position": [15, 10], "step": 37, "ordinal_position": 38}, {"identifier": "J33", "position": [15, 11], "step": 38, "ordinal_position": 39}, {"identifier": "S61", "position": [14, 11], "step": 39, "ordinal_position": 40}, {"identifier": "I02", "position": [13, 11], "step": 40, "ordinal_position": 41}, {"identifier": "G69", "position": [13, 10], "step": 41, "ordinal_position": 42}, {"identifier": "X32", "position": [13, 9], "step": 42, "ordinal_position": 43}, {"identifier": "J39", "position": [14, 9], "step": 43, "ordinal_position": 44}, {"identifier": "X36", "position": [15, 9], "step": 44, "ordinal_position": 45}, {"identifier": "H20", "position": [15, 10], "step": 45, "ordinal_position": 46}, {"identifier": "J33", "position": [15, 11], "step": 46, "ordinal_position": 47}, {"identifier": "S61", "position": [14, 11], "step": 47, "ordinal_position": 48}, {"identifier": "I02", "position": [13, 11], "step": 48, "ordinal_position": 49}, {"identifier": "G69", "position": [13, 10], "step": 49, "ordinal_position": 50}, {"identifier": "X32", "position": [13, 9], "step": 50, "ordinal_position": 51}, {"identifier": "J39", "position": [14, 9], "step": 51, "ordinal_position": 52}, {"identifier": "X36", "position": [15, 9], "step": 52, "ordinal_position": 53}, {"identifier": "H20", "position": [15, 10], "step": 53, "ordinal_position": 54}, {"identifier": "J33", "position": [15, 11], "step": 54, "ordinal_position": 55}, {"identifier": "S61", "position": [14, 11], "step": 55, "ordinal_position": 56}, {"identifier": "I02", "position": [13, 11], "step": 56, "ordinal_position": 57}, {"identifier": "G69", "position": [13, 10], "step": 57, "ordinal_position": 58}, {"identifier": "X32", "position": [13, 9], "step": 58, "ordinal_position": 59}, {"identifier": "J39", "position": [14, 9], "step": 59, "ordinal_position": 60}, {"identifier": "X36", "position": [15, 9], "step": 60, "ordinal_position": 61}, {"identifier": "H20", "position": [15, 10], "step": 61, "ordinal_position": 62}, {"identifier": "J33", "position": [15, 11], "step": 62, "ordinal_position": 63}, {"identifier": "S61", "position": [14, 11], "step": 63, "ordinal_position": 64}, {"identifier": "I02", "position": [13, 11], "step": 64, "ordinal_position": 65}, {"identifier": "G69", "position": [13, 10], "step": 65, "ordinal_position": 66}, {"identifier": "X32", "position": [13, 9], "step": 66, "ordinal_position": 67}, {"identifier": "J39", "position": [14, 9], "step": 67, "ordinal_position": 68}, {"identifier": "X36", "position": [15, 9], "step": 68, "ordinal_position": 69}, {"identifier": "H20", "position": [15, 10], "step": 69, "ordinal_position": 70}, {"identifier": "J33", "position": [15, 11], "step": 70, "ordinal_position": 71}, {"identifier": "S61", "position": [14, 11], "step": 71, "ordinal_position": 72}, {"identifier": "I02", "position": [13, 11], "step": 72, "ordinal_position": 73}, {"identifier": "G69", "position": [13, 10], "step": 73, "ordinal_position": 74}, {"identifier": "X32", "position": [13, 9], "step": 74, "ordinal_position": 75}, {"identifier": "J39", "position": [14, 9], "step": 75, "ordinal_position": 76}, {"identifier": "X36", "position": [15, 9], "step": 76, "ordinal_position": 77}, {"identifier": "H20", "position": [15, 10], "step": 77, "ordinal_position": 78}, {"identifier": "J33", "position": [15, 11], "step": 78, "ordinal_position": 79}, {"identifier": "S61", "position": [14, 11], "step": 79, "ordinal_position": 80}, {"identifier": "I02", "position": [13, 11], "step": 80, "ordinal_position": 81}, {"identifier": "G69", "position": [13, 10], "step": 81, "ordinal_position": 82}, {"identifier": "X32", "position": [13, 9], "step": 82, "ordinal_position": 83}, {"identifier": "J39", "position": [14, 9], "step": 83, "ordinal_position": 84}, {"identifier": "X36", "position": [15, 9], "step": 84, "ordinal_position": 85}, {"identifier": "H20", "position": [15, 10], "step": 85, "ordinal_position": 86}, {"identifier": "J33", "position": [15, 11], "step": 86, "ordinal_position": 87}, {"identifier": "S61", "position": [14, 11], "step": 87, "ordinal_position": 88}, {"identifier": "I02", "position": [13, 11], "step": 88, "ordinal_position": 89}, {"identifier": "G69", "position": [13, 10], "step": 89, "ordinal_position": 90}, {"identifier": "X32", "position": [13, 9], "step": 90, "ordinal_position": 91}, {"identifier": "J39", "position": [14, 9], "step": 91, "ordinal_position": 92}, {"identifier": "X36", "position": [15, 9], "step": 92, "ordinal_position": 93}, {"identifier": "H20", "position": [15, 10], "step": 93, "ordinal_position": 94}, {"identifier": "J33", "position": [15, 11], "step": 94, "ordinal_position": 95}, {"identifier": "S61", "position": [14, 11], "step": 95, "ordinal_position": 96}, {"identifier": "I02", "position": [13, 11], "step": 96, "ordinal_position": 97}, {"identifier": "G69", "position": [13, 10], "step": 97, "ordinal_position": 98}, {"identifier": "X32", "position": [13, 9], "step": 98, "ordinal_position": 99}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 99, "direction": "up", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_015.json"}} {"qa_id": "db4ba04ac3594774aabce26b692e46d9", "image_id": "L3-MazeLoop-test_21x21_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O70, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 58th position in this traversal?", "start_object_id": "O70", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [58], "ordinal_strings": ["58th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "J39", "traversal_path": [{"identifier": "O70", "position": [5, 9], "step": 0, "ordinal_position": 1}, {"identifier": "Z74", "position": [6, 9], "step": 1, "ordinal_position": 2}, {"identifier": "K12", "position": [7, 9], "step": 2, "ordinal_position": 3}, {"identifier": "G80", "position": [7, 8], "step": 3, "ordinal_position": 4}, {"identifier": "S39", "position": [7, 7], "step": 4, "ordinal_position": 5}, {"identifier": "B24", "position": [7, 6], "step": 5, "ordinal_position": 6}, {"identifier": "B81", "position": [7, 5], "step": 6, "ordinal_position": 7}, {"identifier": "A30", "position": [8, 5], "step": 7, "ordinal_position": 8}, {"identifier": "X92", "position": [9, 5], "step": 8, "ordinal_position": 9}, {"identifier": "H32", "position": [9, 4], "step": 9, "ordinal_position": 10}, {"identifier": "Y43", "position": [9, 3], "step": 10, "ordinal_position": 11}, {"identifier": "G11", "position": [10, 3], "step": 11, "ordinal_position": 12}, {"identifier": "Z19", "position": [11, 3], "step": 12, "ordinal_position": 13}, {"identifier": "O45", "position": [12, 3], "step": 13, "ordinal_position": 14}, {"identifier": "O47", "position": [13, 3], "step": 14, "ordinal_position": 15}, {"identifier": "J10", "position": [13, 4], "step": 15, "ordinal_position": 16}, {"identifier": "T38", "position": [13, 5], "step": 16, "ordinal_position": 17}, {"identifier": "X55", "position": [13, 6], "step": 17, "ordinal_position": 18}, {"identifier": "G92", "position": [13, 7], "step": 18, "ordinal_position": 19}, {"identifier": "C47", "position": [14, 7], "step": 19, "ordinal_position": 20}, {"identifier": "F02", "position": [15, 7], "step": 20, "ordinal_position": 21}, {"identifier": "M54", "position": [16, 7], "step": 21, "ordinal_position": 22}, {"identifier": "Z59", "position": [17, 7], "step": 22, "ordinal_position": 23}, {"identifier": "V95", "position": [17, 8], "step": 23, "ordinal_position": 24}, {"identifier": "V94", "position": [17, 9], "step": 24, "ordinal_position": 25}, {"identifier": "R87", "position": [17, 10], "step": 25, "ordinal_position": 26}, {"identifier": "M45", "position": [17, 11], "step": 26, "ordinal_position": 27}, {"identifier": "G43", "position": [16, 11], "step": 27, "ordinal_position": 28}, {"identifier": "J33", "position": [15, 11], "step": 28, "ordinal_position": 29}, {"identifier": "S61", "position": [14, 11], "step": 29, "ordinal_position": 30}, {"identifier": "I02", "position": [13, 11], "step": 30, "ordinal_position": 31}, {"identifier": "G69", "position": [13, 10], "step": 31, "ordinal_position": 32}, {"identifier": "X32", "position": [13, 9], "step": 32, "ordinal_position": 33}, {"identifier": "J39", "position": [14, 9], "step": 33, "ordinal_position": 34}, {"identifier": "X36", "position": [15, 9], "step": 34, "ordinal_position": 35}, {"identifier": "H20", "position": [15, 10], "step": 35, "ordinal_position": 36}, {"identifier": "J33", "position": [15, 11], "step": 36, "ordinal_position": 37}, {"identifier": "S61", "position": [14, 11], "step": 37, "ordinal_position": 38}, {"identifier": "I02", "position": [13, 11], "step": 38, "ordinal_position": 39}, {"identifier": "G69", "position": [13, 10], "step": 39, "ordinal_position": 40}, {"identifier": "X32", "position": [13, 9], "step": 40, "ordinal_position": 41}, {"identifier": "J39", "position": [14, 9], "step": 41, "ordinal_position": 42}, {"identifier": "X36", "position": [15, 9], "step": 42, "ordinal_position": 43}, {"identifier": "H20", "position": [15, 10], "step": 43, "ordinal_position": 44}, {"identifier": "J33", "position": [15, 11], "step": 44, "ordinal_position": 45}, {"identifier": "S61", "position": [14, 11], "step": 45, "ordinal_position": 46}, {"identifier": "I02", "position": [13, 11], "step": 46, "ordinal_position": 47}, {"identifier": "G69", "position": [13, 10], "step": 47, "ordinal_position": 48}, {"identifier": "X32", "position": [13, 9], "step": 48, "ordinal_position": 49}, {"identifier": "J39", "position": [14, 9], "step": 49, "ordinal_position": 50}, {"identifier": "X36", "position": [15, 9], "step": 50, "ordinal_position": 51}, {"identifier": "H20", "position": [15, 10], "step": 51, "ordinal_position": 52}, {"identifier": "J33", "position": [15, 11], "step": 52, "ordinal_position": 53}, {"identifier": "S61", "position": [14, 11], "step": 53, "ordinal_position": 54}, {"identifier": "I02", "position": [13, 11], "step": 54, "ordinal_position": 55}, {"identifier": "G69", "position": [13, 10], "step": 55, "ordinal_position": 56}, {"identifier": "X32", "position": [13, 9], "step": 56, "ordinal_position": 57}, {"identifier": "J39", "position": [14, 9], "step": 57, "ordinal_position": 58}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 58, "direction": "right", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_015.json"}} {"qa_id": "7f4e516bcbdc4f15b1dd85c22e8c7a10", "image_id": "L3-MazeLoop-test_21x21_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U32, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 45th position in this traversal?", "start_object_id": "U32", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [45], "ordinal_strings": ["45th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "G28", "traversal_path": [{"identifier": "U32", "position": [3, 19], "step": 0, "ordinal_position": 1}, {"identifier": "U52", "position": [3, 18], "step": 1, "ordinal_position": 2}, {"identifier": "L89", "position": [3, 17], "step": 2, "ordinal_position": 3}, {"identifier": "E06", "position": [3, 16], "step": 3, "ordinal_position": 4}, {"identifier": "Q35", "position": [3, 15], "step": 4, "ordinal_position": 5}, {"identifier": "V29", "position": [2, 15], "step": 5, "ordinal_position": 6}, {"identifier": "H00", "position": [1, 15], "step": 6, "ordinal_position": 7}, {"identifier": "P61", "position": [1, 14], "step": 7, "ordinal_position": 8}, {"identifier": "T26", "position": [1, 13], "step": 8, "ordinal_position": 9}, {"identifier": "X34", "position": [1, 12], "step": 9, "ordinal_position": 10}, {"identifier": "R71", "position": [1, 11], "step": 10, "ordinal_position": 11}, {"identifier": "T89", "position": [1, 10], "step": 11, "ordinal_position": 12}, {"identifier": "P92", "position": [1, 9], "step": 12, "ordinal_position": 13}, {"identifier": "T18", "position": [2, 9], "step": 13, "ordinal_position": 14}, {"identifier": "D64", "position": [3, 9], "step": 14, "ordinal_position": 15}, {"identifier": "Y03", "position": [3, 10], "step": 15, "ordinal_position": 16}, {"identifier": "S09", "position": [3, 11], "step": 16, "ordinal_position": 17}, {"identifier": "N57", "position": [4, 11], "step": 17, "ordinal_position": 18}, {"identifier": "W69", "position": [5, 11], "step": 18, "ordinal_position": 19}, {"identifier": "F39", "position": [6, 11], "step": 19, "ordinal_position": 20}, {"identifier": "E45", "position": [7, 11], "step": 20, "ordinal_position": 21}, {"identifier": "M96", "position": [8, 11], "step": 21, "ordinal_position": 22}, {"identifier": "R09", "position": [9, 11], "step": 22, "ordinal_position": 23}, {"identifier": "U91", "position": [10, 11], "step": 23, "ordinal_position": 24}, {"identifier": "A32", "position": [11, 11], "step": 24, "ordinal_position": 25}, {"identifier": "E61", "position": [11, 12], "step": 25, "ordinal_position": 26}, {"identifier": "T08", "position": [11, 13], "step": 26, "ordinal_position": 27}, {"identifier": "C67", "position": [11, 14], "step": 27, "ordinal_position": 28}, {"identifier": "P60", "position": [11, 15], "step": 28, "ordinal_position": 29}, {"identifier": "G60", "position": [12, 15], "step": 29, "ordinal_position": 30}, {"identifier": "T17", "position": [13, 15], "step": 30, "ordinal_position": 31}, {"identifier": "K70", "position": [14, 15], "step": 31, "ordinal_position": 32}, {"identifier": "M82", "position": [15, 15], "step": 32, "ordinal_position": 33}, {"identifier": "R19", "position": [15, 14], "step": 33, "ordinal_position": 34}, {"identifier": "K65", "position": [15, 13], "step": 34, "ordinal_position": 35}, {"identifier": "G96", "position": [16, 13], "step": 35, "ordinal_position": 36}, {"identifier": "G58", "position": [17, 13], "step": 36, "ordinal_position": 37}, {"identifier": "O03", "position": [17, 14], "step": 37, "ordinal_position": 38}, {"identifier": "N20", "position": [17, 15], "step": 38, "ordinal_position": 39}, {"identifier": "L10", "position": [17, 16], "step": 39, "ordinal_position": 40}, {"identifier": "O78", "position": [17, 17], "step": 40, "ordinal_position": 41}, {"identifier": "V21", "position": [16, 17], "step": 41, "ordinal_position": 42}, {"identifier": "Q34", "position": [15, 17], "step": 42, "ordinal_position": 43}, {"identifier": "L05", "position": [14, 17], "step": 43, "ordinal_position": 44}, {"identifier": "G28", "position": [13, 17], "step": 44, "ordinal_position": 45}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 45, "direction": "up", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_015.json"}} {"qa_id": "7fd7f24d19c344f9b6f8262b9497d318", "image_id": "L3-MazeLoop-test_21x21_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U32, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 119th position in this traversal?", "start_object_id": "U32", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [119], "ordinal_strings": ["119th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "D64", "traversal_path": [{"identifier": "U32", "position": [3, 19], "step": 0, "ordinal_position": 1}, {"identifier": "U52", "position": [3, 18], "step": 1, "ordinal_position": 2}, {"identifier": "L89", "position": [3, 17], "step": 2, "ordinal_position": 3}, {"identifier": "E06", "position": [3, 16], "step": 3, "ordinal_position": 4}, {"identifier": "Q35", "position": [3, 15], "step": 4, "ordinal_position": 5}, {"identifier": "V29", "position": [2, 15], "step": 5, "ordinal_position": 6}, {"identifier": "H00", "position": [1, 15], "step": 6, "ordinal_position": 7}, {"identifier": "P61", "position": [1, 14], "step": 7, "ordinal_position": 8}, {"identifier": "T26", "position": [1, 13], "step": 8, "ordinal_position": 9}, {"identifier": "X34", "position": [1, 12], "step": 9, "ordinal_position": 10}, {"identifier": "R71", "position": [1, 11], "step": 10, "ordinal_position": 11}, {"identifier": "T89", "position": [1, 10], "step": 11, "ordinal_position": 12}, {"identifier": "P92", "position": [1, 9], "step": 12, "ordinal_position": 13}, {"identifier": "T18", "position": [2, 9], "step": 13, "ordinal_position": 14}, {"identifier": "D64", "position": [3, 9], "step": 14, "ordinal_position": 15}, {"identifier": "Y03", "position": [3, 10], "step": 15, "ordinal_position": 16}, {"identifier": "S09", "position": [3, 11], "step": 16, "ordinal_position": 17}, {"identifier": "N57", "position": [4, 11], "step": 17, "ordinal_position": 18}, {"identifier": "W69", "position": [5, 11], "step": 18, "ordinal_position": 19}, {"identifier": "F39", "position": [6, 11], "step": 19, "ordinal_position": 20}, {"identifier": "E45", "position": [7, 11], "step": 20, "ordinal_position": 21}, {"identifier": "M96", "position": [8, 11], "step": 21, "ordinal_position": 22}, {"identifier": "R09", "position": [9, 11], "step": 22, "ordinal_position": 23}, {"identifier": "U91", "position": [10, 11], "step": 23, "ordinal_position": 24}, {"identifier": "A32", "position": [11, 11], "step": 24, "ordinal_position": 25}, {"identifier": "E61", "position": [11, 12], "step": 25, "ordinal_position": 26}, {"identifier": "T08", "position": [11, 13], "step": 26, "ordinal_position": 27}, {"identifier": "C67", "position": [11, 14], "step": 27, "ordinal_position": 28}, {"identifier": "P60", "position": [11, 15], "step": 28, "ordinal_position": 29}, {"identifier": "G60", "position": [12, 15], "step": 29, "ordinal_position": 30}, {"identifier": "T17", "position": [13, 15], "step": 30, "ordinal_position": 31}, {"identifier": "K70", "position": [14, 15], "step": 31, "ordinal_position": 32}, {"identifier": "M82", "position": [15, 15], "step": 32, "ordinal_position": 33}, {"identifier": "R19", "position": [15, 14], "step": 33, "ordinal_position": 34}, {"identifier": "K65", "position": [15, 13], "step": 34, "ordinal_position": 35}, {"identifier": "G96", "position": [16, 13], "step": 35, "ordinal_position": 36}, {"identifier": "G58", "position": [17, 13], "step": 36, "ordinal_position": 37}, {"identifier": "O03", "position": [17, 14], "step": 37, "ordinal_position": 38}, {"identifier": "N20", "position": [17, 15], "step": 38, "ordinal_position": 39}, {"identifier": "L10", "position": [17, 16], "step": 39, "ordinal_position": 40}, {"identifier": "O78", "position": [17, 17], "step": 40, "ordinal_position": 41}, {"identifier": "V21", "position": [16, 17], "step": 41, "ordinal_position": 42}, {"identifier": "Q34", "position": [15, 17], "step": 42, "ordinal_position": 43}, {"identifier": "L05", "position": [14, 17], "step": 43, "ordinal_position": 44}, {"identifier": "G28", "position": [13, 17], "step": 44, "ordinal_position": 45}, {"identifier": "H57", "position": [12, 17], "step": 45, "ordinal_position": 46}, {"identifier": "S51", "position": [11, 17], "step": 46, "ordinal_position": 47}, {"identifier": "N46", "position": [10, 17], "step": 47, "ordinal_position": 48}, {"identifier": "C22", "position": [9, 17], "step": 48, "ordinal_position": 49}, {"identifier": "C89", "position": [9, 16], "step": 49, "ordinal_position": 50}, {"identifier": "I74", "position": [9, 15], "step": 50, "ordinal_position": 51}, {"identifier": "Z13", "position": [8, 15], "step": 51, "ordinal_position": 52}, {"identifier": "C46", "position": [7, 15], "step": 52, "ordinal_position": 53}, {"identifier": "U56", "position": [6, 15], "step": 53, "ordinal_position": 54}, {"identifier": "V68", "position": [5, 15], "step": 54, "ordinal_position": 55}, {"identifier": "R27", "position": [5, 14], "step": 55, "ordinal_position": 56}, {"identifier": "B19", "position": [5, 13], "step": 56, "ordinal_position": 57}, {"identifier": "P24", "position": [4, 13], "step": 57, "ordinal_position": 58}, {"identifier": "T00", "position": [3, 13], "step": 58, "ordinal_position": 59}, {"identifier": "F63", "position": [2, 13], "step": 59, "ordinal_position": 60}, {"identifier": "T26", "position": [1, 13], "step": 60, "ordinal_position": 61}, {"identifier": "X34", "position": [1, 12], "step": 61, "ordinal_position": 62}, {"identifier": "R71", "position": [1, 11], "step": 62, "ordinal_position": 63}, {"identifier": "T89", "position": [1, 10], "step": 63, "ordinal_position": 64}, {"identifier": "P92", "position": [1, 9], "step": 64, "ordinal_position": 65}, {"identifier": "T18", "position": [2, 9], "step": 65, "ordinal_position": 66}, {"identifier": "D64", "position": [3, 9], "step": 66, "ordinal_position": 67}, {"identifier": "Y03", "position": [3, 10], "step": 67, "ordinal_position": 68}, {"identifier": "S09", "position": [3, 11], "step": 68, "ordinal_position": 69}, {"identifier": "N57", "position": [4, 11], "step": 69, "ordinal_position": 70}, {"identifier": "W69", "position": [5, 11], "step": 70, "ordinal_position": 71}, {"identifier": "F39", "position": [6, 11], "step": 71, "ordinal_position": 72}, {"identifier": "E45", "position": [7, 11], "step": 72, "ordinal_position": 73}, {"identifier": "M96", "position": [8, 11], "step": 73, "ordinal_position": 74}, {"identifier": "R09", "position": [9, 11], "step": 74, "ordinal_position": 75}, {"identifier": "U91", "position": [10, 11], "step": 75, "ordinal_position": 76}, {"identifier": "A32", "position": [11, 11], "step": 76, "ordinal_position": 77}, {"identifier": "E61", "position": [11, 12], "step": 77, "ordinal_position": 78}, {"identifier": "T08", "position": [11, 13], "step": 78, "ordinal_position": 79}, {"identifier": "C67", "position": [11, 14], "step": 79, "ordinal_position": 80}, {"identifier": "P60", "position": [11, 15], "step": 80, "ordinal_position": 81}, {"identifier": "G60", "position": [12, 15], "step": 81, "ordinal_position": 82}, {"identifier": "T17", "position": [13, 15], "step": 82, "ordinal_position": 83}, {"identifier": "K70", "position": [14, 15], "step": 83, "ordinal_position": 84}, {"identifier": "M82", "position": [15, 15], "step": 84, "ordinal_position": 85}, {"identifier": "R19", "position": [15, 14], "step": 85, "ordinal_position": 86}, {"identifier": "K65", "position": [15, 13], "step": 86, "ordinal_position": 87}, {"identifier": "G96", "position": [16, 13], "step": 87, "ordinal_position": 88}, {"identifier": "G58", "position": [17, 13], "step": 88, "ordinal_position": 89}, {"identifier": "O03", "position": [17, 14], "step": 89, "ordinal_position": 90}, {"identifier": "N20", "position": [17, 15], "step": 90, "ordinal_position": 91}, {"identifier": "L10", "position": [17, 16], "step": 91, "ordinal_position": 92}, {"identifier": "O78", "position": [17, 17], "step": 92, "ordinal_position": 93}, {"identifier": "V21", "position": [16, 17], "step": 93, "ordinal_position": 94}, {"identifier": "Q34", "position": [15, 17], "step": 94, "ordinal_position": 95}, {"identifier": "L05", "position": [14, 17], "step": 95, "ordinal_position": 96}, {"identifier": "G28", "position": [13, 17], "step": 96, "ordinal_position": 97}, {"identifier": "H57", "position": [12, 17], "step": 97, "ordinal_position": 98}, {"identifier": "S51", "position": [11, 17], "step": 98, "ordinal_position": 99}, {"identifier": "N46", "position": [10, 17], "step": 99, "ordinal_position": 100}, {"identifier": "C22", "position": [9, 17], "step": 100, "ordinal_position": 101}, {"identifier": "C89", "position": [9, 16], "step": 101, "ordinal_position": 102}, {"identifier": "I74", "position": [9, 15], "step": 102, "ordinal_position": 103}, {"identifier": "Z13", "position": [8, 15], "step": 103, "ordinal_position": 104}, {"identifier": "C46", "position": [7, 15], "step": 104, "ordinal_position": 105}, {"identifier": "U56", "position": [6, 15], "step": 105, "ordinal_position": 106}, {"identifier": "V68", "position": [5, 15], "step": 106, "ordinal_position": 107}, {"identifier": "R27", "position": [5, 14], "step": 107, "ordinal_position": 108}, {"identifier": "B19", "position": [5, 13], "step": 108, "ordinal_position": 109}, {"identifier": "P24", "position": [4, 13], "step": 109, "ordinal_position": 110}, {"identifier": "T00", "position": [3, 13], "step": 110, "ordinal_position": 111}, {"identifier": "F63", "position": [2, 13], "step": 111, "ordinal_position": 112}, {"identifier": "T26", "position": [1, 13], "step": 112, "ordinal_position": 113}, {"identifier": "X34", "position": [1, 12], "step": 113, "ordinal_position": 114}, {"identifier": "R71", "position": [1, 11], "step": 114, "ordinal_position": 115}, {"identifier": "T89", "position": [1, 10], "step": 115, "ordinal_position": 116}, {"identifier": "P92", "position": [1, 9], "step": 116, "ordinal_position": 117}, {"identifier": "T18", "position": [2, 9], "step": 117, "ordinal_position": 118}, {"identifier": "D64", "position": [3, 9], "step": 118, "ordinal_position": 119}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 119, "direction": "up", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_015.json"}} {"qa_id": "6367ac9b2c2346d29944a8eaa782b15b", "image_id": "L3-MazeLoop-test_21x21_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C47, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 221st position in this traversal?", "start_object_id": "C47", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [221], "ordinal_strings": ["221st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "G69", "traversal_path": [{"identifier": "C47", "position": [14, 7], "step": 0, "ordinal_position": 1}, {"identifier": "F02", "position": [15, 7], "step": 1, "ordinal_position": 2}, {"identifier": "M54", "position": [16, 7], "step": 2, "ordinal_position": 3}, {"identifier": "Z59", "position": [17, 7], "step": 3, "ordinal_position": 4}, {"identifier": "V95", "position": [17, 8], "step": 4, "ordinal_position": 5}, {"identifier": "V94", "position": [17, 9], "step": 5, "ordinal_position": 6}, {"identifier": "R87", "position": [17, 10], "step": 6, "ordinal_position": 7}, {"identifier": "M45", "position": [17, 11], "step": 7, "ordinal_position": 8}, {"identifier": "G43", "position": [16, 11], "step": 8, "ordinal_position": 9}, {"identifier": "J33", "position": [15, 11], "step": 9, "ordinal_position": 10}, {"identifier": "S61", "position": [14, 11], "step": 10, "ordinal_position": 11}, {"identifier": "I02", "position": [13, 11], "step": 11, "ordinal_position": 12}, {"identifier": "G69", "position": [13, 10], "step": 12, "ordinal_position": 13}, {"identifier": "X32", "position": [13, 9], "step": 13, "ordinal_position": 14}, {"identifier": "J39", "position": [14, 9], "step": 14, "ordinal_position": 15}, {"identifier": "X36", "position": [15, 9], "step": 15, "ordinal_position": 16}, {"identifier": "H20", "position": [15, 10], "step": 16, "ordinal_position": 17}, {"identifier": "J33", "position": [15, 11], "step": 17, "ordinal_position": 18}, {"identifier": "S61", "position": [14, 11], "step": 18, "ordinal_position": 19}, {"identifier": "I02", "position": [13, 11], "step": 19, "ordinal_position": 20}, {"identifier": "G69", "position": [13, 10], "step": 20, "ordinal_position": 21}, {"identifier": "X32", "position": [13, 9], "step": 21, "ordinal_position": 22}, {"identifier": "J39", "position": [14, 9], "step": 22, "ordinal_position": 23}, {"identifier": "X36", "position": [15, 9], "step": 23, "ordinal_position": 24}, {"identifier": "H20", "position": [15, 10], "step": 24, "ordinal_position": 25}, {"identifier": "J33", "position": [15, 11], "step": 25, "ordinal_position": 26}, {"identifier": "S61", "position": [14, 11], "step": 26, "ordinal_position": 27}, {"identifier": "I02", "position": [13, 11], "step": 27, "ordinal_position": 28}, {"identifier": "G69", "position": [13, 10], "step": 28, "ordinal_position": 29}, {"identifier": "X32", "position": [13, 9], "step": 29, "ordinal_position": 30}, {"identifier": "J39", "position": [14, 9], "step": 30, "ordinal_position": 31}, {"identifier": "X36", "position": [15, 9], "step": 31, "ordinal_position": 32}, {"identifier": "H20", "position": [15, 10], "step": 32, "ordinal_position": 33}, {"identifier": "J33", "position": [15, 11], "step": 33, "ordinal_position": 34}, {"identifier": "S61", "position": [14, 11], "step": 34, "ordinal_position": 35}, {"identifier": "I02", "position": [13, 11], "step": 35, "ordinal_position": 36}, {"identifier": "G69", "position": [13, 10], "step": 36, "ordinal_position": 37}, {"identifier": "X32", "position": [13, 9], "step": 37, "ordinal_position": 38}, {"identifier": "J39", "position": [14, 9], "step": 38, "ordinal_position": 39}, {"identifier": "X36", "position": [15, 9], "step": 39, "ordinal_position": 40}, {"identifier": "H20", "position": [15, 10], "step": 40, "ordinal_position": 41}, {"identifier": "J33", "position": [15, 11], "step": 41, "ordinal_position": 42}, {"identifier": "S61", "position": [14, 11], "step": 42, "ordinal_position": 43}, {"identifier": "I02", "position": [13, 11], "step": 43, "ordinal_position": 44}, {"identifier": "G69", "position": [13, 10], "step": 44, "ordinal_position": 45}, {"identifier": "X32", "position": [13, 9], "step": 45, "ordinal_position": 46}, {"identifier": "J39", "position": [14, 9], "step": 46, "ordinal_position": 47}, {"identifier": "X36", "position": [15, 9], "step": 47, "ordinal_position": 48}, {"identifier": "H20", "position": [15, 10], "step": 48, "ordinal_position": 49}, {"identifier": "J33", "position": [15, 11], "step": 49, "ordinal_position": 50}, {"identifier": "S61", "position": [14, 11], "step": 50, "ordinal_position": 51}, {"identifier": "I02", "position": [13, 11], "step": 51, "ordinal_position": 52}, {"identifier": "G69", "position": [13, 10], "step": 52, "ordinal_position": 53}, {"identifier": "X32", "position": [13, 9], "step": 53, "ordinal_position": 54}, {"identifier": "J39", "position": [14, 9], "step": 54, "ordinal_position": 55}, 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"position": [13, 10], "step": 164, "ordinal_position": 165}, {"identifier": "X32", "position": [13, 9], "step": 165, "ordinal_position": 166}, {"identifier": "J39", "position": [14, 9], "step": 166, "ordinal_position": 167}, {"identifier": "X36", "position": [15, 9], "step": 167, "ordinal_position": 168}, {"identifier": "H20", "position": [15, 10], "step": 168, "ordinal_position": 169}, {"identifier": "J33", "position": [15, 11], "step": 169, "ordinal_position": 170}, {"identifier": "S61", "position": [14, 11], "step": 170, "ordinal_position": 171}, {"identifier": "I02", "position": [13, 11], "step": 171, "ordinal_position": 172}, {"identifier": "G69", "position": [13, 10], "step": 172, "ordinal_position": 173}, {"identifier": "X32", "position": [13, 9], "step": 173, "ordinal_position": 174}, {"identifier": "J39", "position": [14, 9], "step": 174, "ordinal_position": 175}, {"identifier": "X36", "position": [15, 9], "step": 175, "ordinal_position": 176}, {"identifier": "H20", "position": [15, 10], "step": 176, "ordinal_position": 177}, {"identifier": "J33", "position": [15, 11], "step": 177, "ordinal_position": 178}, {"identifier": "S61", "position": [14, 11], "step": 178, "ordinal_position": 179}, {"identifier": "I02", "position": [13, 11], "step": 179, "ordinal_position": 180}, {"identifier": "G69", "position": [13, 10], "step": 180, "ordinal_position": 181}, {"identifier": "X32", "position": [13, 9], "step": 181, "ordinal_position": 182}, {"identifier": "J39", "position": [14, 9], "step": 182, "ordinal_position": 183}, {"identifier": "X36", "position": [15, 9], "step": 183, "ordinal_position": 184}, {"identifier": "H20", "position": [15, 10], "step": 184, "ordinal_position": 185}, {"identifier": "J33", "position": [15, 11], "step": 185, "ordinal_position": 186}, {"identifier": "S61", "position": [14, 11], "step": 186, "ordinal_position": 187}, {"identifier": "I02", "position": [13, 11], "step": 187, "ordinal_position": 188}, {"identifier": "G69", "position": [13, 10], "step": 188, "ordinal_position": 189}, {"identifier": "X32", "position": [13, 9], "step": 189, "ordinal_position": 190}, {"identifier": "J39", "position": [14, 9], "step": 190, "ordinal_position": 191}, {"identifier": "X36", "position": [15, 9], "step": 191, "ordinal_position": 192}, {"identifier": "H20", "position": [15, 10], "step": 192, "ordinal_position": 193}, {"identifier": "J33", "position": [15, 11], "step": 193, "ordinal_position": 194}, {"identifier": "S61", "position": [14, 11], "step": 194, "ordinal_position": 195}, {"identifier": "I02", "position": [13, 11], "step": 195, "ordinal_position": 196}, {"identifier": "G69", "position": [13, 10], "step": 196, "ordinal_position": 197}, {"identifier": "X32", "position": [13, 9], "step": 197, "ordinal_position": 198}, {"identifier": "J39", "position": [14, 9], "step": 198, "ordinal_position": 199}, {"identifier": "X36", "position": [15, 9], "step": 199, "ordinal_position": 200}, {"identifier": "H20", "position": [15, 10], "step": 200, "ordinal_position": 201}, {"identifier": "J33", "position": [15, 11], "step": 201, "ordinal_position": 202}, {"identifier": "S61", "position": [14, 11], "step": 202, "ordinal_position": 203}, {"identifier": "I02", "position": [13, 11], "step": 203, "ordinal_position": 204}, {"identifier": "G69", "position": [13, 10], "step": 204, "ordinal_position": 205}, {"identifier": "X32", "position": [13, 9], "step": 205, "ordinal_position": 206}, {"identifier": "J39", "position": [14, 9], "step": 206, "ordinal_position": 207}, {"identifier": "X36", "position": [15, 9], "step": 207, "ordinal_position": 208}, {"identifier": "H20", "position": [15, 10], "step": 208, "ordinal_position": 209}, {"identifier": "J33", "position": [15, 11], "step": 209, "ordinal_position": 210}, {"identifier": "S61", "position": [14, 11], "step": 210, "ordinal_position": 211}, {"identifier": "I02", "position": [13, 11], "step": 211, "ordinal_position": 212}, {"identifier": "G69", "position": [13, 10], "step": 212, "ordinal_position": 213}, {"identifier": "X32", "position": [13, 9], "step": 213, "ordinal_position": 214}, {"identifier": "J39", "position": [14, 9], "step": 214, "ordinal_position": 215}, {"identifier": "X36", "position": [15, 9], "step": 215, "ordinal_position": 216}, {"identifier": "H20", "position": [15, 10], "step": 216, "ordinal_position": 217}, {"identifier": "J33", "position": [15, 11], "step": 217, "ordinal_position": 218}, {"identifier": "S61", "position": [14, 11], "step": 218, "ordinal_position": 219}, {"identifier": "I02", "position": [13, 11], "step": 219, "ordinal_position": 220}, {"identifier": "G69", "position": [13, 10], "step": 220, "ordinal_position": 221}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 221, "direction": "right", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_015.json"}} {"qa_id": "61ef24d80a7a45ed8d8fb8b5dbc21316", "image_id": "L3-MazeLoop-test_21x21_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P60, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 184th position in this traversal?", "start_object_id": "P60", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [184], "ordinal_strings": ["184th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "R27", "traversal_path": [{"identifier": "P60", "position": [11, 15], "step": 0, "ordinal_position": 1}, {"identifier": "G60", "position": [12, 15], "step": 1, "ordinal_position": 2}, {"identifier": "T17", "position": [13, 15], "step": 2, "ordinal_position": 3}, {"identifier": "K70", "position": [14, 15], "step": 3, "ordinal_position": 4}, {"identifier": "M82", "position": [15, 15], "step": 4, "ordinal_position": 5}, {"identifier": "R19", "position": [15, 14], "step": 5, "ordinal_position": 6}, {"identifier": "K65", "position": [15, 13], "step": 6, "ordinal_position": 7}, {"identifier": "G96", "position": [16, 13], "step": 7, "ordinal_position": 8}, {"identifier": "G58", "position": [17, 13], "step": 8, "ordinal_position": 9}, {"identifier": "O03", "position": [17, 14], "step": 9, "ordinal_position": 10}, {"identifier": "N20", "position": [17, 15], "step": 10, "ordinal_position": 11}, {"identifier": "L10", "position": [17, 16], "step": 11, "ordinal_position": 12}, {"identifier": "O78", "position": [17, 17], "step": 12, "ordinal_position": 13}, {"identifier": "V21", "position": [16, 17], "step": 13, "ordinal_position": 14}, {"identifier": "Q34", "position": [15, 17], "step": 14, "ordinal_position": 15}, {"identifier": "L05", "position": [14, 17], "step": 15, "ordinal_position": 16}, {"identifier": "G28", "position": [13, 17], "step": 16, "ordinal_position": 17}, {"identifier": "H57", "position": [12, 17], "step": 17, "ordinal_position": 18}, {"identifier": "S51", "position": [11, 17], "step": 18, "ordinal_position": 19}, {"identifier": "N46", "position": [10, 17], "step": 19, "ordinal_position": 20}, {"identifier": "C22", "position": [9, 17], "step": 20, "ordinal_position": 21}, {"identifier": "C89", "position": [9, 16], "step": 21, "ordinal_position": 22}, {"identifier": "I74", "position": [9, 15], "step": 22, "ordinal_position": 23}, {"identifier": "Z13", "position": [8, 15], "step": 23, "ordinal_position": 24}, {"identifier": "C46", "position": [7, 15], "step": 24, "ordinal_position": 25}, {"identifier": "U56", "position": [6, 15], "step": 25, "ordinal_position": 26}, {"identifier": "V68", "position": [5, 15], "step": 26, "ordinal_position": 27}, {"identifier": "R27", "position": [5, 14], "step": 27, "ordinal_position": 28}, {"identifier": "B19", "position": [5, 13], "step": 28, "ordinal_position": 29}, {"identifier": "P24", "position": [4, 13], "step": 29, "ordinal_position": 30}, {"identifier": "T00", "position": [3, 13], "step": 30, "ordinal_position": 31}, {"identifier": "F63", "position": [2, 13], "step": 31, "ordinal_position": 32}, {"identifier": "T26", "position": [1, 13], "step": 32, "ordinal_position": 33}, {"identifier": "X34", "position": [1, 12], "step": 33, "ordinal_position": 34}, {"identifier": "R71", "position": [1, 11], "step": 34, "ordinal_position": 35}, {"identifier": "T89", "position": [1, 10], "step": 35, "ordinal_position": 36}, {"identifier": "P92", "position": [1, 9], "step": 36, "ordinal_position": 37}, {"identifier": "T18", "position": [2, 9], "step": 37, "ordinal_position": 38}, {"identifier": "D64", "position": [3, 9], "step": 38, "ordinal_position": 39}, {"identifier": "Y03", "position": [3, 10], "step": 39, "ordinal_position": 40}, {"identifier": "S09", "position": [3, 11], "step": 40, "ordinal_position": 41}, {"identifier": "N57", "position": [4, 11], "step": 41, "ordinal_position": 42}, {"identifier": "W69", "position": [5, 11], "step": 42, "ordinal_position": 43}, {"identifier": "F39", "position": [6, 11], "step": 43, "ordinal_position": 44}, {"identifier": "E45", "position": [7, 11], "step": 44, "ordinal_position": 45}, {"identifier": "M96", "position": [8, 11], "step": 45, "ordinal_position": 46}, {"identifier": "R09", "position": [9, 11], "step": 46, "ordinal_position": 47}, {"identifier": "U91", "position": [10, 11], "step": 47, "ordinal_position": 48}, {"identifier": "A32", "position": [11, 11], "step": 48, "ordinal_position": 49}, {"identifier": "E61", "position": [11, 12], "step": 49, "ordinal_position": 50}, {"identifier": "T08", "position": [11, 13], "step": 50, "ordinal_position": 51}, {"identifier": "C67", "position": [11, 14], "step": 51, "ordinal_position": 52}, {"identifier": "P60", "position": [11, 15], "step": 52, "ordinal_position": 53}, {"identifier": "G60", "position": [12, 15], "step": 53, "ordinal_position": 54}, {"identifier": "T17", "position": [13, 15], "step": 54, "ordinal_position": 55}, {"identifier": "K70", "position": [14, 15], "step": 55, "ordinal_position": 56}, {"identifier": "M82", "position": [15, 15], "step": 56, "ordinal_position": 57}, {"identifier": "R19", "position": [15, 14], "step": 57, "ordinal_position": 58}, {"identifier": "K65", "position": [15, 13], "step": 58, "ordinal_position": 59}, {"identifier": "G96", "position": [16, 13], "step": 59, "ordinal_position": 60}, {"identifier": "G58", "position": [17, 13], "step": 60, "ordinal_position": 61}, {"identifier": "O03", "position": [17, 14], "step": 61, "ordinal_position": 62}, {"identifier": "N20", "position": [17, 15], "step": 62, "ordinal_position": 63}, {"identifier": "L10", "position": [17, 16], "step": 63, "ordinal_position": 64}, {"identifier": "O78", "position": [17, 17], "step": 64, "ordinal_position": 65}, {"identifier": "V21", "position": [16, 17], "step": 65, "ordinal_position": 66}, {"identifier": "Q34", "position": [15, 17], "step": 66, "ordinal_position": 67}, {"identifier": "L05", "position": [14, 17], "step": 67, "ordinal_position": 68}, {"identifier": "G28", "position": [13, 17], "step": 68, "ordinal_position": 69}, {"identifier": "H57", "position": [12, 17], "step": 69, "ordinal_position": 70}, {"identifier": "S51", "position": [11, 17], "step": 70, "ordinal_position": 71}, {"identifier": "N46", "position": [10, 17], "step": 71, "ordinal_position": 72}, {"identifier": "C22", "position": [9, 17], "step": 72, "ordinal_position": 73}, {"identifier": "C89", "position": [9, 16], "step": 73, "ordinal_position": 74}, {"identifier": "I74", "position": [9, 15], "step": 74, "ordinal_position": 75}, {"identifier": "Z13", "position": [8, 15], "step": 75, "ordinal_position": 76}, {"identifier": "C46", "position": [7, 15], "step": 76, "ordinal_position": 77}, {"identifier": "U56", "position": [6, 15], "step": 77, "ordinal_position": 78}, {"identifier": "V68", "position": [5, 15], "step": 78, "ordinal_position": 79}, {"identifier": "R27", "position": [5, 14], "step": 79, "ordinal_position": 80}, {"identifier": "B19", "position": [5, 13], "step": 80, "ordinal_position": 81}, {"identifier": "P24", "position": [4, 13], "step": 81, "ordinal_position": 82}, {"identifier": "T00", "position": [3, 13], "step": 82, "ordinal_position": 83}, {"identifier": "F63", "position": [2, 13], "step": 83, "ordinal_position": 84}, {"identifier": "T26", "position": [1, 13], "step": 84, "ordinal_position": 85}, {"identifier": "X34", "position": [1, 12], "step": 85, "ordinal_position": 86}, {"identifier": "R71", "position": [1, 11], "step": 86, "ordinal_position": 87}, {"identifier": "T89", "position": [1, 10], "step": 87, "ordinal_position": 88}, {"identifier": "P92", "position": [1, 9], "step": 88, "ordinal_position": 89}, {"identifier": "T18", "position": [2, 9], "step": 89, "ordinal_position": 90}, {"identifier": "D64", "position": [3, 9], "step": 90, "ordinal_position": 91}, {"identifier": "Y03", "position": [3, 10], "step": 91, "ordinal_position": 92}, {"identifier": "S09", "position": [3, 11], "step": 92, "ordinal_position": 93}, {"identifier": "N57", "position": [4, 11], "step": 93, "ordinal_position": 94}, {"identifier": "W69", "position": [5, 11], "step": 94, "ordinal_position": 95}, {"identifier": "F39", "position": [6, 11], "step": 95, "ordinal_position": 96}, {"identifier": "E45", "position": [7, 11], "step": 96, "ordinal_position": 97}, {"identifier": "M96", "position": [8, 11], "step": 97, "ordinal_position": 98}, {"identifier": "R09", "position": [9, 11], "step": 98, "ordinal_position": 99}, {"identifier": "U91", "position": [10, 11], "step": 99, "ordinal_position": 100}, {"identifier": "A32", "position": [11, 11], "step": 100, "ordinal_position": 101}, {"identifier": "E61", "position": [11, 12], "step": 101, "ordinal_position": 102}, {"identifier": "T08", "position": [11, 13], "step": 102, "ordinal_position": 103}, {"identifier": "C67", "position": [11, 14], "step": 103, "ordinal_position": 104}, {"identifier": "P60", "position": [11, 15], "step": 104, "ordinal_position": 105}, {"identifier": "G60", "position": [12, 15], "step": 105, "ordinal_position": 106}, {"identifier": "T17", "position": [13, 15], "step": 106, "ordinal_position": 107}, {"identifier": "K70", "position": [14, 15], "step": 107, "ordinal_position": 108}, {"identifier": "M82", "position": [15, 15], "step": 108, 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"ordinal_position": 121}, {"identifier": "H57", "position": [12, 17], "step": 121, "ordinal_position": 122}, {"identifier": "S51", "position": [11, 17], "step": 122, "ordinal_position": 123}, {"identifier": "N46", "position": [10, 17], "step": 123, "ordinal_position": 124}, {"identifier": "C22", "position": [9, 17], "step": 124, "ordinal_position": 125}, {"identifier": "C89", "position": [9, 16], "step": 125, "ordinal_position": 126}, {"identifier": "I74", "position": [9, 15], "step": 126, "ordinal_position": 127}, {"identifier": "Z13", "position": [8, 15], "step": 127, "ordinal_position": 128}, {"identifier": "C46", "position": [7, 15], "step": 128, "ordinal_position": 129}, {"identifier": "U56", "position": [6, 15], "step": 129, "ordinal_position": 130}, {"identifier": "V68", "position": [5, 15], "step": 130, "ordinal_position": 131}, {"identifier": "R27", "position": [5, 14], "step": 131, "ordinal_position": 132}, {"identifier": "B19", "position": [5, 13], "step": 132, "ordinal_position": 133}, {"identifier": "P24", "position": [4, 13], "step": 133, "ordinal_position": 134}, {"identifier": "T00", "position": [3, 13], "step": 134, "ordinal_position": 135}, {"identifier": "F63", "position": [2, 13], "step": 135, "ordinal_position": 136}, {"identifier": "T26", "position": [1, 13], "step": 136, "ordinal_position": 137}, {"identifier": "X34", "position": [1, 12], "step": 137, "ordinal_position": 138}, {"identifier": "R71", "position": [1, 11], "step": 138, "ordinal_position": 139}, {"identifier": "T89", "position": [1, 10], "step": 139, "ordinal_position": 140}, {"identifier": "P92", "position": [1, 9], "step": 140, "ordinal_position": 141}, {"identifier": "T18", "position": [2, 9], "step": 141, "ordinal_position": 142}, {"identifier": "D64", "position": [3, 9], "step": 142, "ordinal_position": 143}, {"identifier": "Y03", "position": [3, 10], "step": 143, "ordinal_position": 144}, {"identifier": "S09", "position": [3, 11], "step": 144, "ordinal_position": 145}, {"identifier": "N57", "position": [4, 11], "step": 145, "ordinal_position": 146}, {"identifier": "W69", "position": [5, 11], "step": 146, "ordinal_position": 147}, {"identifier": "F39", "position": [6, 11], "step": 147, "ordinal_position": 148}, {"identifier": "E45", "position": [7, 11], "step": 148, "ordinal_position": 149}, {"identifier": "M96", "position": [8, 11], "step": 149, "ordinal_position": 150}, {"identifier": "R09", "position": [9, 11], "step": 150, "ordinal_position": 151}, {"identifier": "U91", "position": [10, 11], "step": 151, "ordinal_position": 152}, {"identifier": "A32", "position": [11, 11], "step": 152, "ordinal_position": 153}, {"identifier": "E61", "position": [11, 12], "step": 153, "ordinal_position": 154}, {"identifier": "T08", "position": [11, 13], "step": 154, "ordinal_position": 155}, {"identifier": "C67", "position": [11, 14], "step": 155, "ordinal_position": 156}, {"identifier": "P60", "position": [11, 15], "step": 156, "ordinal_position": 157}, {"identifier": "G60", "position": [12, 15], "step": 157, "ordinal_position": 158}, {"identifier": "T17", "position": [13, 15], "step": 158, "ordinal_position": 159}, {"identifier": "K70", "position": [14, 15], "step": 159, "ordinal_position": 160}, {"identifier": "M82", "position": [15, 15], "step": 160, "ordinal_position": 161}, {"identifier": "R19", "position": [15, 14], "step": 161, "ordinal_position": 162}, {"identifier": "K65", "position": [15, 13], "step": 162, "ordinal_position": 163}, {"identifier": "G96", "position": [16, 13], "step": 163, "ordinal_position": 164}, {"identifier": "G58", "position": [17, 13], "step": 164, "ordinal_position": 165}, {"identifier": "O03", "position": [17, 14], "step": 165, "ordinal_position": 166}, {"identifier": "N20", "position": [17, 15], "step": 166, "ordinal_position": 167}, {"identifier": "L10", "position": [17, 16], "step": 167, "ordinal_position": 168}, {"identifier": "O78", "position": [17, 17], "step": 168, "ordinal_position": 169}, {"identifier": "V21", "position": [16, 17], "step": 169, "ordinal_position": 170}, {"identifier": "Q34", "position": [15, 17], "step": 170, "ordinal_position": 171}, {"identifier": "L05", "position": [14, 17], "step": 171, "ordinal_position": 172}, {"identifier": "G28", "position": [13, 17], "step": 172, "ordinal_position": 173}, {"identifier": "H57", "position": [12, 17], "step": 173, "ordinal_position": 174}, {"identifier": "S51", "position": [11, 17], "step": 174, "ordinal_position": 175}, {"identifier": "N46", "position": [10, 17], "step": 175, "ordinal_position": 176}, {"identifier": "C22", "position": [9, 17], "step": 176, "ordinal_position": 177}, {"identifier": "C89", "position": [9, 16], "step": 177, "ordinal_position": 178}, {"identifier": "I74", "position": [9, 15], "step": 178, "ordinal_position": 179}, {"identifier": "Z13", "position": [8, 15], "step": 179, "ordinal_position": 180}, {"identifier": "C46", "position": [7, 15], "step": 180, "ordinal_position": 181}, {"identifier": "U56", "position": [6, 15], "step": 181, "ordinal_position": 182}, {"identifier": "V68", "position": [5, 15], "step": 182, "ordinal_position": 183}, {"identifier": "R27", "position": [5, 14], "step": 183, "ordinal_position": 184}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 184, "direction": "right", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_015.json"}} {"qa_id": "969a6d2becfe4a5da3f49b7b5ed5acea", "image_id": "L3-MazeLoop-test_21x21_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V29, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 182nd position in this traversal?", "start_object_id": "V29", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [182], "ordinal_strings": ["182nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "K68", "traversal_path": [{"identifier": "V29", "position": [2, 15], "step": 0, "ordinal_position": 1}, {"identifier": "H00", "position": [1, 15], "step": 1, "ordinal_position": 2}, {"identifier": "W59", "position": [1, 16], "step": 2, "ordinal_position": 3}, {"identifier": "A97", "position": [1, 17], "step": 3, "ordinal_position": 4}, {"identifier": "T61", "position": [1, 18], "step": 4, "ordinal_position": 5}, {"identifier": "J32", "position": [1, 19], "step": 5, "ordinal_position": 6}, {"identifier": "V27", "position": [2, 19], "step": 6, "ordinal_position": 7}, {"identifier": "U32", "position": [3, 19], "step": 7, "ordinal_position": 8}, {"identifier": "Y76", "position": [4, 19], "step": 8, "ordinal_position": 9}, {"identifier": "G22", "position": [5, 19], "step": 9, "ordinal_position": 10}, {"identifier": "K40", "position": [5, 18], "step": 10, "ordinal_position": 11}, {"identifier": "V41", "position": [5, 17], "step": 11, "ordinal_position": 12}, {"identifier": "I81", "position": [6, 17], "step": 12, "ordinal_position": 13}, {"identifier": "M13", "position": [7, 17], "step": 13, "ordinal_position": 14}, {"identifier": "H64", "position": [7, 18], "step": 14, "ordinal_position": 15}, {"identifier": "J04", "position": [7, 19], "step": 15, "ordinal_position": 16}, {"identifier": "P49", "position": [8, 19], "step": 16, "ordinal_position": 17}, {"identifier": "S82", "position": [9, 19], "step": 17, "ordinal_position": 18}, {"identifier": "N24", "position": [10, 19], "step": 18, "ordinal_position": 19}, {"identifier": "J24", "position": [11, 19], "step": 19, "ordinal_position": 20}, {"identifier": "N50", "position": [12, 19], "step": 20, "ordinal_position": 21}, {"identifier": "D72", "position": [13, 19], "step": 21, "ordinal_position": 22}, {"identifier": "H09", "position": [14, 19], "step": 22, "ordinal_position": 23}, {"identifier": "O62", "position": [15, 19], "step": 23, "ordinal_position": 24}, {"identifier": "Z06", "position": [16, 19], "step": 24, "ordinal_position": 25}, {"identifier": "U72", "position": [17, 19], "step": 25, "ordinal_position": 26}, {"identifier": "L18", "position": [18, 19], "step": 26, "ordinal_position": 27}, {"identifier": "R12", "position": [19, 19], "step": 27, "ordinal_position": 28}, {"identifier": "U53", "position": [19, 18], "step": 28, "ordinal_position": 29}, {"identifier": "J78", "position": [19, 17], "step": 29, "ordinal_position": 30}, {"identifier": "N80", "position": [19, 16], "step": 30, "ordinal_position": 31}, {"identifier": "N76", "position": [19, 15], "step": 31, "ordinal_position": 32}, {"identifier": "Q96", "position": [19, 14], "step": 32, "ordinal_position": 33}, {"identifier": "U38", "position": [19, 13], "step": 33, "ordinal_position": 34}, {"identifier": "J60", "position": [19, 12], "step": 34, "ordinal_position": 35}, {"identifier": "L74", "position": [19, 11], "step": 35, "ordinal_position": 36}, {"identifier": "T15", "position": [19, 10], "step": 36, "ordinal_position": 37}, {"identifier": "V76", "position": [19, 9], "step": 37, "ordinal_position": 38}, {"identifier": "P98", "position": [19, 8], "step": 38, "ordinal_position": 39}, {"identifier": "C98", "position": [19, 7], "step": 39, "ordinal_position": 40}, {"identifier": "Q59", "position": [19, 6], "step": 40, "ordinal_position": 41}, {"identifier": "K51", "position": [19, 5], "step": 41, "ordinal_position": 42}, {"identifier": "Y42", "position": [19, 4], "step": 42, "ordinal_position": 43}, {"identifier": "X39", "position": [19, 3], "step": 43, "ordinal_position": 44}, {"identifier": "Q57", "position": [19, 2], "step": 44, "ordinal_position": 45}, {"identifier": "I79", "position": [19, 1], "step": 45, "ordinal_position": 46}, {"identifier": "V92", "position": [18, 1], "step": 46, "ordinal_position": 47}, {"identifier": "Y16", "position": [17, 1], "step": 47, "ordinal_position": 48}, {"identifier": "K72", "position": [16, 1], "step": 48, "ordinal_position": 49}, {"identifier": "K68", "position": [15, 1], "step": 49, "ordinal_position": 50}, {"identifier": "F32", "position": [14, 1], "step": 50, "ordinal_position": 51}, {"identifier": "W92", "position": [13, 1], "step": 51, "ordinal_position": 52}, {"identifier": "R54", "position": [12, 1], "step": 52, "ordinal_position": 53}, {"identifier": "I98", "position": [11, 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{"identifier": "B17", "position": [2, 3], "step": 66, "ordinal_position": 67}, {"identifier": "Z99", "position": [3, 3], "step": 67, "ordinal_position": 68}, {"identifier": "I40", "position": [4, 3], "step": 68, "ordinal_position": 69}, {"identifier": "I71", "position": [5, 3], "step": 69, "ordinal_position": 70}, {"identifier": "C28", "position": [6, 3], "step": 70, "ordinal_position": 71}, {"identifier": "O08", "position": [7, 3], "step": 71, "ordinal_position": 72}, {"identifier": "G00", "position": [8, 3], "step": 72, "ordinal_position": 73}, {"identifier": "Y43", "position": [9, 3], "step": 73, "ordinal_position": 74}, {"identifier": "G11", "position": [10, 3], "step": 74, "ordinal_position": 75}, {"identifier": "Z19", "position": [11, 3], "step": 75, "ordinal_position": 76}, {"identifier": "O45", "position": [12, 3], "step": 76, "ordinal_position": 77}, {"identifier": "O47", "position": [13, 3], "step": 77, "ordinal_position": 78}, {"identifier": "J10", "position": [13, 4], 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{"identifier": "Q18", "position": [15, 3], "step": 91, "ordinal_position": 92}, {"identifier": "T46", "position": [15, 2], "step": 92, "ordinal_position": 93}, {"identifier": "K68", "position": [15, 1], "step": 93, "ordinal_position": 94}, {"identifier": "F32", "position": [14, 1], "step": 94, "ordinal_position": 95}, {"identifier": "W92", "position": [13, 1], "step": 95, "ordinal_position": 96}, {"identifier": "R54", "position": [12, 1], "step": 96, "ordinal_position": 97}, {"identifier": "I98", "position": [11, 1], "step": 97, "ordinal_position": 98}, {"identifier": "S00", "position": [10, 1], "step": 98, "ordinal_position": 99}, {"identifier": "I87", "position": [9, 1], "step": 99, "ordinal_position": 100}, {"identifier": "T72", "position": [8, 1], "step": 100, "ordinal_position": 101}, {"identifier": "C80", "position": [7, 1], "step": 101, "ordinal_position": 102}, {"identifier": "J92", "position": [6, 1], "step": 102, "ordinal_position": 103}, {"identifier": "V13", "position": [5, 1], "step": 103, "ordinal_position": 104}, {"identifier": "T64", "position": [4, 1], "step": 104, "ordinal_position": 105}, {"identifier": "F94", "position": [3, 1], "step": 105, "ordinal_position": 106}, {"identifier": "Q69", "position": [2, 1], "step": 106, "ordinal_position": 107}, {"identifier": "S10", "position": [1, 1], "step": 107, "ordinal_position": 108}, {"identifier": "L15", "position": [1, 2], "step": 108, "ordinal_position": 109}, {"identifier": "K31", "position": [1, 3], "step": 109, "ordinal_position": 110}, {"identifier": "B17", "position": [2, 3], "step": 110, "ordinal_position": 111}, {"identifier": "Z99", "position": [3, 3], "step": 111, "ordinal_position": 112}, {"identifier": "I40", "position": [4, 3], "step": 112, "ordinal_position": 113}, {"identifier": "I71", "position": [5, 3], "step": 113, "ordinal_position": 114}, {"identifier": "C28", "position": [6, 3], "step": 114, "ordinal_position": 115}, {"identifier": "O08", "position": [7, 3], "step": 115, "ordinal_position": 116}, {"identifier": "G00", "position": [8, 3], "step": 116, "ordinal_position": 117}, {"identifier": "Y43", "position": [9, 3], "step": 117, "ordinal_position": 118}, {"identifier": "G11", "position": [10, 3], "step": 118, "ordinal_position": 119}, {"identifier": "Z19", "position": [11, 3], "step": 119, "ordinal_position": 120}, {"identifier": "O45", "position": [12, 3], "step": 120, "ordinal_position": 121}, {"identifier": "O47", "position": [13, 3], "step": 121, "ordinal_position": 122}, {"identifier": "J10", "position": [13, 4], "step": 122, "ordinal_position": 123}, {"identifier": "T38", "position": [13, 5], "step": 123, "ordinal_position": 124}, {"identifier": "X55", "position": [13, 6], "step": 124, "ordinal_position": 125}, {"identifier": "G92", "position": [13, 7], "step": 125, "ordinal_position": 126}, {"identifier": "C47", "position": [14, 7], "step": 126, "ordinal_position": 127}, {"identifier": "F02", "position": [15, 7], "step": 127, "ordinal_position": 128}, {"identifier": "M54", "position": [16, 7], "step": 128, "ordinal_position": 129}, {"identifier": "Z59", "position": [17, 7], "step": 129, "ordinal_position": 130}, {"identifier": "B39", "position": [17, 6], "step": 130, "ordinal_position": 131}, {"identifier": "G86", "position": [17, 5], "step": 131, "ordinal_position": 132}, {"identifier": "Z85", "position": [16, 5], "step": 132, "ordinal_position": 133}, {"identifier": "C54", "position": [15, 5], "step": 133, "ordinal_position": 134}, {"identifier": "U22", "position": [15, 4], "step": 134, "ordinal_position": 135}, {"identifier": "Q18", "position": [15, 3], "step": 135, "ordinal_position": 136}, {"identifier": "T46", "position": [15, 2], "step": 136, "ordinal_position": 137}, {"identifier": "K68", "position": [15, 1], "step": 137, "ordinal_position": 138}, {"identifier": "F32", "position": [14, 1], "step": 138, "ordinal_position": 139}, {"identifier": "W92", "position": [13, 1], "step": 139, "ordinal_position": 140}, {"identifier": "R54", "position": [12, 1], "step": 140, "ordinal_position": 141}, {"identifier": "I98", "position": [11, 1], "step": 141, "ordinal_position": 142}, {"identifier": "S00", "position": [10, 1], "step": 142, "ordinal_position": 143}, {"identifier": "I87", "position": [9, 1], "step": 143, "ordinal_position": 144}, {"identifier": "T72", "position": [8, 1], "step": 144, "ordinal_position": 145}, {"identifier": "C80", "position": [7, 1], "step": 145, "ordinal_position": 146}, {"identifier": "J92", "position": [6, 1], "step": 146, "ordinal_position": 147}, {"identifier": "V13", "position": [5, 1], "step": 147, "ordinal_position": 148}, {"identifier": "T64", "position": [4, 1], "step": 148, "ordinal_position": 149}, {"identifier": "F94", "position": [3, 1], "step": 149, "ordinal_position": 150}, {"identifier": "Q69", "position": [2, 1], "step": 150, "ordinal_position": 151}, {"identifier": "S10", "position": [1, 1], "step": 151, "ordinal_position": 152}, {"identifier": "L15", "position": [1, 2], "step": 152, "ordinal_position": 153}, {"identifier": "K31", "position": [1, 3], "step": 153, "ordinal_position": 154}, {"identifier": "B17", "position": [2, 3], "step": 154, "ordinal_position": 155}, {"identifier": "Z99", "position": [3, 3], "step": 155, "ordinal_position": 156}, {"identifier": "I40", "position": [4, 3], "step": 156, "ordinal_position": 157}, {"identifier": "I71", "position": [5, 3], "step": 157, "ordinal_position": 158}, {"identifier": "C28", "position": [6, 3], "step": 158, "ordinal_position": 159}, {"identifier": "O08", "position": [7, 3], "step": 159, "ordinal_position": 160}, {"identifier": "G00", "position": [8, 3], "step": 160, "ordinal_position": 161}, {"identifier": "Y43", "position": [9, 3], "step": 161, "ordinal_position": 162}, {"identifier": "G11", "position": [10, 3], "step": 162, "ordinal_position": 163}, {"identifier": "Z19", "position": [11, 3], "step": 163, "ordinal_position": 164}, {"identifier": "O45", "position": [12, 3], "step": 164, "ordinal_position": 165}, {"identifier": "O47", "position": [13, 3], "step": 165, "ordinal_position": 166}, {"identifier": "J10", "position": [13, 4], "step": 166, "ordinal_position": 167}, {"identifier": "T38", "position": [13, 5], "step": 167, "ordinal_position": 168}, {"identifier": "X55", "position": [13, 6], "step": 168, "ordinal_position": 169}, {"identifier": "G92", "position": [13, 7], "step": 169, "ordinal_position": 170}, {"identifier": "C47", "position": [14, 7], "step": 170, "ordinal_position": 171}, {"identifier": "F02", "position": [15, 7], "step": 171, "ordinal_position": 172}, {"identifier": "M54", "position": [16, 7], "step": 172, "ordinal_position": 173}, {"identifier": "Z59", "position": [17, 7], "step": 173, "ordinal_position": 174}, {"identifier": "B39", "position": [17, 6], "step": 174, "ordinal_position": 175}, {"identifier": "G86", "position": [17, 5], "step": 175, "ordinal_position": 176}, {"identifier": "Z85", "position": [16, 5], "step": 176, "ordinal_position": 177}, {"identifier": "C54", "position": [15, 5], "step": 177, "ordinal_position": 178}, {"identifier": "U22", "position": [15, 4], "step": 178, "ordinal_position": 179}, {"identifier": "Q18", "position": [15, 3], "step": 179, "ordinal_position": 180}, {"identifier": "T46", "position": [15, 2], "step": 180, "ordinal_position": 181}, {"identifier": "K68", "position": [15, 1], "step": 181, "ordinal_position": 182}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 182, "direction": "left", "turn_preference": "left", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_015.json"}} {"qa_id": "d28c3feed8384a89aaada890f93bfe90", "image_id": "L3-MazeLoop-test_21x21_015", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I79, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 252nd position in this traversal?", "start_object_id": "I79", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [252], "ordinal_strings": ["252nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "J39", "traversal_path": [{"identifier": "I79", "position": [19, 1], "step": 0, "ordinal_position": 1}, {"identifier": "V92", "position": [18, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Y16", "position": [17, 1], "step": 2, "ordinal_position": 3}, {"identifier": "K72", "position": [16, 1], "step": 3, "ordinal_position": 4}, {"identifier": "K68", "position": [15, 1], "step": 4, "ordinal_position": 5}, {"identifier": "F32", "position": [14, 1], "step": 5, "ordinal_position": 6}, {"identifier": "W92", "position": [13, 1], "step": 6, "ordinal_position": 7}, {"identifier": "R54", "position": [12, 1], "step": 7, "ordinal_position": 8}, {"identifier": "I98", "position": [11, 1], "step": 8, "ordinal_position": 9}, {"identifier": "S00", "position": [10, 1], "step": 9, "ordinal_position": 10}, {"identifier": "I87", "position": [9, 1], "step": 10, "ordinal_position": 11}, {"identifier": "T72", "position": [8, 1], "step": 11, "ordinal_position": 12}, {"identifier": "C80", "position": [7, 1], "step": 12, "ordinal_position": 13}, {"identifier": "J92", "position": [6, 1], "step": 13, "ordinal_position": 14}, {"identifier": "V13", "position": [5, 1], "step": 14, "ordinal_position": 15}, {"identifier": "T64", "position": [4, 1], "step": 15, "ordinal_position": 16}, {"identifier": "F94", "position": [3, 1], "step": 16, "ordinal_position": 17}, {"identifier": "Q69", "position": [2, 1], "step": 17, "ordinal_position": 18}, {"identifier": "S10", "position": [1, 1], "step": 18, "ordinal_position": 19}, {"identifier": "L15", "position": [1, 2], "step": 19, "ordinal_position": 20}, {"identifier": "K31", "position": [1, 3], "step": 20, "ordinal_position": 21}, {"identifier": "B17", "position": [2, 3], "step": 21, "ordinal_position": 22}, {"identifier": "Z99", "position": [3, 3], "step": 22, "ordinal_position": 23}, {"identifier": "I40", "position": [4, 3], "step": 23, "ordinal_position": 24}, {"identifier": "I71", "position": [5, 3], "step": 24, "ordinal_position": 25}, {"identifier": "C28", "position": [6, 3], "step": 25, "ordinal_position": 26}, {"identifier": "O08", "position": [7, 3], "step": 26, "ordinal_position": 27}, {"identifier": "G00", "position": [8, 3], "step": 27, "ordinal_position": 28}, {"identifier": "Y43", "position": [9, 3], "step": 28, "ordinal_position": 29}, {"identifier": "G11", "position": [10, 3], "step": 29, "ordinal_position": 30}, {"identifier": "Z19", "position": [11, 3], "step": 30, "ordinal_position": 31}, {"identifier": "O45", "position": [12, 3], "step": 31, "ordinal_position": 32}, {"identifier": "O47", "position": [13, 3], "step": 32, "ordinal_position": 33}, {"identifier": "J10", "position": [13, 4], "step": 33, "ordinal_position": 34}, {"identifier": "T38", "position": [13, 5], "step": 34, "ordinal_position": 35}, {"identifier": "X55", "position": [13, 6], "step": 35, "ordinal_position": 36}, {"identifier": "G92", "position": [13, 7], "step": 36, "ordinal_position": 37}, {"identifier": "C47", "position": [14, 7], "step": 37, "ordinal_position": 38}, {"identifier": "F02", "position": [15, 7], "step": 38, "ordinal_position": 39}, {"identifier": "M54", "position": [16, 7], "step": 39, "ordinal_position": 40}, {"identifier": "Z59", "position": [17, 7], "step": 40, "ordinal_position": 41}, {"identifier": "V95", "position": [17, 8], "step": 41, "ordinal_position": 42}, {"identifier": "V94", "position": [17, 9], "step": 42, "ordinal_position": 43}, {"identifier": "R87", "position": [17, 10], "step": 43, "ordinal_position": 44}, {"identifier": "M45", "position": [17, 11], "step": 44, "ordinal_position": 45}, {"identifier": "G43", "position": [16, 11], "step": 45, "ordinal_position": 46}, {"identifier": "J33", "position": [15, 11], "step": 46, "ordinal_position": 47}, {"identifier": "S61", "position": [14, 11], "step": 47, "ordinal_position": 48}, {"identifier": "I02", "position": [13, 11], "step": 48, "ordinal_position": 49}, {"identifier": "G69", "position": [13, 10], "step": 49, "ordinal_position": 50}, {"identifier": "X32", "position": [13, 9], "step": 50, "ordinal_position": 51}, {"identifier": "J39", "position": [14, 9], "step": 51, "ordinal_position": 52}, {"identifier": "X36", "position": [15, 9], "step": 52, "ordinal_position": 53}, {"identifier": "H20", "position": [15, 10], "step": 53, "ordinal_position": 54}, {"identifier": "J33", "position": [15, 11], "step": 54, "ordinal_position": 55}, {"identifier": "S61", "position": [14, 11], "step": 55, "ordinal_position": 56}, {"identifier": "I02", "position": [13, 11], "step": 56, "ordinal_position": 57}, {"identifier": "G69", "position": [13, 10], "step": 57, "ordinal_position": 58}, {"identifier": "X32", "position": [13, 9], "step": 58, "ordinal_position": 59}, {"identifier": "J39", "position": [14, 9], "step": 59, "ordinal_position": 60}, {"identifier": "X36", "position": [15, 9], "step": 60, "ordinal_position": 61}, {"identifier": "H20", "position": [15, 10], "step": 61, "ordinal_position": 62}, {"identifier": "J33", "position": [15, 11], "step": 62, "ordinal_position": 63}, {"identifier": "S61", "position": [14, 11], "step": 63, "ordinal_position": 64}, {"identifier": "I02", "position": [13, 11], "step": 64, "ordinal_position": 65}, {"identifier": "G69", "position": [13, 10], "step": 65, "ordinal_position": 66}, {"identifier": "X32", "position": [13, 9], "step": 66, "ordinal_position": 67}, {"identifier": "J39", "position": [14, 9], "step": 67, "ordinal_position": 68}, {"identifier": "X36", "position": [15, 9], "step": 68, "ordinal_position": 69}, {"identifier": "H20", "position": [15, 10], "step": 69, "ordinal_position": 70}, {"identifier": "J33", "position": [15, 11], "step": 70, "ordinal_position": 71}, {"identifier": "S61", "position": [14, 11], "step": 71, "ordinal_position": 72}, {"identifier": "I02", "position": [13, 11], "step": 72, "ordinal_position": 73}, {"identifier": "G69", "position": [13, 10], "step": 73, "ordinal_position": 74}, {"identifier": "X32", "position": [13, 9], "step": 74, "ordinal_position": 75}, {"identifier": "J39", "position": [14, 9], "step": 75, "ordinal_position": 76}, {"identifier": "X36", "position": [15, 9], "step": 76, "ordinal_position": 77}, {"identifier": "H20", "position": [15, 10], "step": 77, "ordinal_position": 78}, {"identifier": "J33", "position": [15, 11], "step": 78, "ordinal_position": 79}, {"identifier": "S61", "position": [14, 11], "step": 79, "ordinal_position": 80}, {"identifier": "I02", "position": [13, 11], "step": 80, "ordinal_position": 81}, {"identifier": "G69", "position": [13, 10], "step": 81, "ordinal_position": 82}, {"identifier": "X32", "position": [13, 9], "step": 82, "ordinal_position": 83}, {"identifier": "J39", "position": [14, 9], "step": 83, "ordinal_position": 84}, {"identifier": "X36", "position": [15, 9], "step": 84, "ordinal_position": 85}, {"identifier": "H20", "position": [15, 10], "step": 85, "ordinal_position": 86}, {"identifier": "J33", "position": [15, 11], "step": 86, "ordinal_position": 87}, {"identifier": "S61", "position": [14, 11], "step": 87, "ordinal_position": 88}, {"identifier": "I02", "position": [13, 11], "step": 88, "ordinal_position": 89}, {"identifier": "G69", "position": [13, 10], "step": 89, "ordinal_position": 90}, {"identifier": "X32", "position": [13, 9], "step": 90, "ordinal_position": 91}, {"identifier": "J39", "position": [14, 9], "step": 91, "ordinal_position": 92}, {"identifier": "X36", "position": [15, 9], "step": 92, "ordinal_position": 93}, {"identifier": "H20", "position": [15, 10], "step": 93, "ordinal_position": 94}, {"identifier": "J33", "position": [15, 11], "step": 94, "ordinal_position": 95}, {"identifier": "S61", "position": [14, 11], "step": 95, "ordinal_position": 96}, {"identifier": "I02", "position": [13, 11], "step": 96, "ordinal_position": 97}, {"identifier": "G69", "position": [13, 10], "step": 97, "ordinal_position": 98}, {"identifier": "X32", "position": [13, 9], "step": 98, "ordinal_position": 99}, {"identifier": "J39", "position": [14, 9], "step": 99, "ordinal_position": 100}, {"identifier": "X36", "position": [15, 9], "step": 100, "ordinal_position": 101}, {"identifier": "H20", "position": [15, 10], "step": 101, "ordinal_position": 102}, {"identifier": "J33", "position": [15, 11], "step": 102, "ordinal_position": 103}, {"identifier": "S61", "position": [14, 11], "step": 103, "ordinal_position": 104}, {"identifier": "I02", "position": [13, 11], "step": 104, "ordinal_position": 105}, {"identifier": "G69", "position": [13, 10], "step": 105, "ordinal_position": 106}, {"identifier": "X32", "position": [13, 9], "step": 106, "ordinal_position": 107}, {"identifier": "J39", "position": [14, 9], "step": 107, "ordinal_position": 108}, {"identifier": "X36", "position": [15, 9], "step": 108, "ordinal_position": 109}, {"identifier": "H20", "position": [15, 10], "step": 109, "ordinal_position": 110}, {"identifier": "J33", "position": [15, 11], "step": 110, "ordinal_position": 111}, {"identifier": "S61", "position": [14, 11], "step": 111, "ordinal_position": 112}, {"identifier": "I02", "position": [13, 11], "step": 112, "ordinal_position": 113}, {"identifier": "G69", "position": [13, 10], "step": 113, "ordinal_position": 114}, {"identifier": "X32", "position": [13, 9], "step": 114, "ordinal_position": 115}, {"identifier": "J39", "position": [14, 9], "step": 115, "ordinal_position": 116}, {"identifier": "X36", "position": [15, 9], "step": 116, "ordinal_position": 117}, {"identifier": "H20", "position": [15, 10], "step": 117, "ordinal_position": 118}, {"identifier": "J33", "position": [15, 11], "step": 118, "ordinal_position": 119}, {"identifier": "S61", "position": [14, 11], "step": 119, "ordinal_position": 120}, {"identifier": "I02", "position": [13, 11], "step": 120, "ordinal_position": 121}, {"identifier": "G69", "position": [13, 10], "step": 121, "ordinal_position": 122}, {"identifier": "X32", "position": [13, 9], "step": 122, "ordinal_position": 123}, {"identifier": "J39", "position": [14, 9], "step": 123, "ordinal_position": 124}, {"identifier": "X36", "position": [15, 9], "step": 124, "ordinal_position": 125}, {"identifier": "H20", "position": [15, 10], "step": 125, "ordinal_position": 126}, {"identifier": "J33", "position": [15, 11], "step": 126, "ordinal_position": 127}, {"identifier": "S61", "position": [14, 11], "step": 127, "ordinal_position": 128}, {"identifier": "I02", "position": [13, 11], "step": 128, "ordinal_position": 129}, {"identifier": "G69", "position": [13, 10], "step": 129, "ordinal_position": 130}, {"identifier": "X32", "position": [13, 9], "step": 130, "ordinal_position": 131}, {"identifier": "J39", "position": [14, 9], "step": 131, "ordinal_position": 132}, {"identifier": "X36", "position": [15, 9], "step": 132, "ordinal_position": 133}, {"identifier": "H20", "position": [15, 10], "step": 133, "ordinal_position": 134}, {"identifier": "J33", "position": [15, 11], "step": 134, "ordinal_position": 135}, {"identifier": "S61", "position": [14, 11], "step": 135, "ordinal_position": 136}, {"identifier": "I02", "position": [13, 11], "step": 136, "ordinal_position": 137}, {"identifier": "G69", "position": [13, 10], "step": 137, "ordinal_position": 138}, {"identifier": "X32", "position": [13, 9], "step": 138, "ordinal_position": 139}, {"identifier": "J39", "position": [14, 9], "step": 139, "ordinal_position": 140}, {"identifier": "X36", "position": [15, 9], "step": 140, "ordinal_position": 141}, {"identifier": "H20", "position": [15, 10], "step": 141, "ordinal_position": 142}, {"identifier": "J33", "position": [15, 11], "step": 142, "ordinal_position": 143}, {"identifier": "S61", "position": [14, 11], "step": 143, "ordinal_position": 144}, {"identifier": "I02", "position": [13, 11], "step": 144, "ordinal_position": 145}, {"identifier": "G69", "position": [13, 10], "step": 145, "ordinal_position": 146}, {"identifier": "X32", "position": [13, 9], "step": 146, "ordinal_position": 147}, {"identifier": "J39", "position": [14, 9], "step": 147, "ordinal_position": 148}, {"identifier": "X36", "position": [15, 9], "step": 148, "ordinal_position": 149}, {"identifier": "H20", "position": [15, 10], "step": 149, "ordinal_position": 150}, {"identifier": "J33", "position": [15, 11], "step": 150, "ordinal_position": 151}, {"identifier": "S61", "position": [14, 11], "step": 151, "ordinal_position": 152}, {"identifier": "I02", "position": [13, 11], "step": 152, "ordinal_position": 153}, {"identifier": "G69", "position": [13, 10], "step": 153, "ordinal_position": 154}, {"identifier": "X32", "position": [13, 9], "step": 154, "ordinal_position": 155}, {"identifier": "J39", "position": [14, 9], "step": 155, "ordinal_position": 156}, {"identifier": "X36", "position": [15, 9], "step": 156, "ordinal_position": 157}, {"identifier": "H20", "position": [15, 10], "step": 157, "ordinal_position": 158}, {"identifier": "J33", "position": [15, 11], "step": 158, "ordinal_position": 159}, {"identifier": "S61", "position": [14, 11], "step": 159, "ordinal_position": 160}, {"identifier": "I02", "position": [13, 11], "step": 160, "ordinal_position": 161}, {"identifier": "G69", "position": [13, 10], "step": 161, "ordinal_position": 162}, {"identifier": "X32", "position": [13, 9], "step": 162, "ordinal_position": 163}, {"identifier": "J39", "position": [14, 9], "step": 163, "ordinal_position": 164}, {"identifier": "X36", "position": [15, 9], "step": 164, "ordinal_position": 165}, {"identifier": "H20", "position": [15, 10], "step": 165, "ordinal_position": 166}, {"identifier": "J33", "position": [15, 11], "step": 166, "ordinal_position": 167}, {"identifier": "S61", "position": [14, 11], "step": 167, "ordinal_position": 168}, {"identifier": "I02", "position": [13, 11], "step": 168, "ordinal_position": 169}, {"identifier": "G69", "position": [13, 10], "step": 169, "ordinal_position": 170}, {"identifier": "X32", "position": [13, 9], "step": 170, "ordinal_position": 171}, {"identifier": "J39", "position": [14, 9], "step": 171, "ordinal_position": 172}, {"identifier": "X36", "position": [15, 9], "step": 172, "ordinal_position": 173}, {"identifier": "H20", "position": [15, 10], "step": 173, "ordinal_position": 174}, {"identifier": "J33", "position": [15, 11], "step": 174, "ordinal_position": 175}, {"identifier": "S61", "position": [14, 11], "step": 175, "ordinal_position": 176}, {"identifier": "I02", "position": [13, 11], "step": 176, "ordinal_position": 177}, {"identifier": "G69", "position": [13, 10], "step": 177, "ordinal_position": 178}, {"identifier": "X32", "position": [13, 9], "step": 178, "ordinal_position": 179}, {"identifier": "J39", "position": [14, 9], "step": 179, "ordinal_position": 180}, {"identifier": "X36", "position": [15, 9], "step": 180, "ordinal_position": 181}, {"identifier": "H20", "position": [15, 10], "step": 181, "ordinal_position": 182}, {"identifier": "J33", "position": [15, 11], "step": 182, "ordinal_position": 183}, {"identifier": "S61", "position": [14, 11], "step": 183, "ordinal_position": 184}, {"identifier": "I02", "position": [13, 11], "step": 184, "ordinal_position": 185}, {"identifier": "G69", "position": [13, 10], "step": 185, "ordinal_position": 186}, {"identifier": "X32", "position": [13, 9], "step": 186, "ordinal_position": 187}, {"identifier": "J39", "position": [14, 9], "step": 187, "ordinal_position": 188}, {"identifier": "X36", "position": [15, 9], "step": 188, "ordinal_position": 189}, {"identifier": "H20", "position": [15, 10], "step": 189, "ordinal_position": 190}, {"identifier": "J33", "position": [15, 11], "step": 190, "ordinal_position": 191}, {"identifier": "S61", "position": [14, 11], "step": 191, "ordinal_position": 192}, {"identifier": "I02", "position": [13, 11], "step": 192, "ordinal_position": 193}, {"identifier": "G69", "position": [13, 10], "step": 193, "ordinal_position": 194}, {"identifier": "X32", "position": [13, 9], "step": 194, "ordinal_position": 195}, {"identifier": "J39", "position": [14, 9], "step": 195, "ordinal_position": 196}, {"identifier": "X36", "position": [15, 9], "step": 196, "ordinal_position": 197}, {"identifier": "H20", "position": [15, 10], "step": 197, "ordinal_position": 198}, {"identifier": "J33", "position": [15, 11], "step": 198, "ordinal_position": 199}, {"identifier": "S61", "position": [14, 11], "step": 199, "ordinal_position": 200}, {"identifier": "I02", "position": [13, 11], "step": 200, "ordinal_position": 201}, {"identifier": "G69", "position": [13, 10], "step": 201, "ordinal_position": 202}, {"identifier": "X32", "position": [13, 9], "step": 202, "ordinal_position": 203}, {"identifier": "J39", "position": [14, 9], "step": 203, "ordinal_position": 204}, {"identifier": "X36", "position": [15, 9], "step": 204, "ordinal_position": 205}, {"identifier": "H20", "position": [15, 10], "step": 205, "ordinal_position": 206}, {"identifier": "J33", "position": [15, 11], "step": 206, "ordinal_position": 207}, {"identifier": "S61", "position": [14, 11], "step": 207, "ordinal_position": 208}, {"identifier": "I02", "position": [13, 11], "step": 208, "ordinal_position": 209}, {"identifier": "G69", "position": [13, 10], "step": 209, "ordinal_position": 210}, {"identifier": "X32", "position": [13, 9], "step": 210, "ordinal_position": 211}, {"identifier": "J39", "position": [14, 9], "step": 211, "ordinal_position": 212}, {"identifier": "X36", "position": [15, 9], "step": 212, "ordinal_position": 213}, {"identifier": "H20", "position": [15, 10], "step": 213, "ordinal_position": 214}, {"identifier": "J33", "position": [15, 11], "step": 214, "ordinal_position": 215}, {"identifier": "S61", "position": [14, 11], "step": 215, "ordinal_position": 216}, {"identifier": "I02", "position": [13, 11], "step": 216, "ordinal_position": 217}, {"identifier": "G69", "position": [13, 10], "step": 217, "ordinal_position": 218}, {"identifier": "X32", "position": [13, 9], "step": 218, "ordinal_position": 219}, {"identifier": "J39", "position": [14, 9], "step": 219, "ordinal_position": 220}, {"identifier": "X36", "position": [15, 9], "step": 220, "ordinal_position": 221}, {"identifier": "H20", "position": [15, 10], "step": 221, "ordinal_position": 222}, {"identifier": "J33", "position": [15, 11], "step": 222, "ordinal_position": 223}, {"identifier": "S61", "position": [14, 11], "step": 223, "ordinal_position": 224}, {"identifier": "I02", "position": [13, 11], "step": 224, "ordinal_position": 225}, {"identifier": "G69", "position": [13, 10], "step": 225, "ordinal_position": 226}, {"identifier": "X32", "position": [13, 9], "step": 226, "ordinal_position": 227}, {"identifier": "J39", "position": [14, 9], "step": 227, "ordinal_position": 228}, {"identifier": "X36", "position": [15, 9], "step": 228, "ordinal_position": 229}, {"identifier": "H20", "position": [15, 10], "step": 229, "ordinal_position": 230}, {"identifier": "J33", "position": [15, 11], "step": 230, "ordinal_position": 231}, {"identifier": "S61", "position": [14, 11], "step": 231, "ordinal_position": 232}, {"identifier": "I02", "position": [13, 11], "step": 232, "ordinal_position": 233}, {"identifier": "G69", "position": [13, 10], "step": 233, "ordinal_position": 234}, {"identifier": "X32", "position": [13, 9], "step": 234, "ordinal_position": 235}, {"identifier": "J39", "position": [14, 9], "step": 235, "ordinal_position": 236}, {"identifier": "X36", "position": [15, 9], "step": 236, "ordinal_position": 237}, {"identifier": "H20", "position": [15, 10], "step": 237, "ordinal_position": 238}, {"identifier": "J33", "position": [15, 11], "step": 238, "ordinal_position": 239}, {"identifier": "S61", "position": [14, 11], "step": 239, "ordinal_position": 240}, {"identifier": "I02", "position": [13, 11], "step": 240, "ordinal_position": 241}, {"identifier": "G69", "position": [13, 10], "step": 241, "ordinal_position": 242}, {"identifier": "X32", "position": [13, 9], "step": 242, "ordinal_position": 243}, {"identifier": "J39", "position": [14, 9], "step": 243, "ordinal_position": 244}, {"identifier": "X36", "position": [15, 9], "step": 244, "ordinal_position": 245}, {"identifier": "H20", "position": [15, 10], "step": 245, "ordinal_position": 246}, {"identifier": "J33", "position": [15, 11], "step": 246, "ordinal_position": 247}, {"identifier": "S61", "position": [14, 11], "step": 247, "ordinal_position": 248}, {"identifier": "I02", "position": [13, 11], "step": 248, "ordinal_position": 249}, {"identifier": "G69", "position": [13, 10], "step": 249, "ordinal_position": 250}, {"identifier": "X32", "position": [13, 9], "step": 250, "ordinal_position": 251}, {"identifier": "J39", "position": [14, 9], "step": 251, "ordinal_position": 252}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 252, "direction": "left", "turn_preference": "right", "total_objects": 212, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_015.json"}} {"qa_id": "0e2a670bf1a8435c86e33fff4e9edb61", "image_id": "L3-MazeLoop-test_21x21_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled S19, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "S19", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M19", "traversal_path": [{"identifier": "S19", "position": [12, 19], "step": 0, "ordinal_position": 1}, {"identifier": "P40", "position": [11, 19], "step": 1, "ordinal_position": 2}, {"identifier": "H81", "position": [10, 19], "step": 2, "ordinal_position": 3}, {"identifier": "G07", "position": [9, 19], "step": 3, "ordinal_position": 4}, {"identifier": "L18", "position": [8, 19], "step": 4, "ordinal_position": 5}, {"identifier": "M19", "position": [7, 19], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 6, "direction": "left", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_016.json"}} {"qa_id": "f1466d6c797d48bba9e12714453f8d26", "image_id": "L3-MazeLoop-test_21x21_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B55, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 21st position in this traversal?", "start_object_id": "B55", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [21], "ordinal_strings": ["21st"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Q50", "traversal_path": [{"identifier": "B55", "position": [3, 6], "step": 0, "ordinal_position": 1}, {"identifier": "E81", "position": [3, 7], "step": 1, "ordinal_position": 2}, {"identifier": "Y16", "position": [4, 7], "step": 2, "ordinal_position": 3}, {"identifier": "Q48", "position": [5, 7], "step": 3, "ordinal_position": 4}, {"identifier": "U91", "position": [5, 8], "step": 4, "ordinal_position": 5}, {"identifier": "U38", "position": [5, 9], "step": 5, "ordinal_position": 6}, {"identifier": "A01", "position": [5, 10], "step": 6, "ordinal_position": 7}, {"identifier": "M39", "position": [5, 11], "step": 7, "ordinal_position": 8}, {"identifier": "P69", "position": [4, 11], "step": 8, "ordinal_position": 9}, {"identifier": "J07", "position": [3, 11], "step": 9, "ordinal_position": 10}, {"identifier": "D76", "position": [2, 11], "step": 10, "ordinal_position": 11}, {"identifier": "L74", "position": [1, 11], "step": 11, "ordinal_position": 12}, {"identifier": "C10", "position": [1, 10], "step": 12, "ordinal_position": 13}, {"identifier": "R73", "position": [1, 9], "step": 13, "ordinal_position": 14}, {"identifier": "Q73", "position": [1, 8], "step": 14, "ordinal_position": 15}, {"identifier": "Z02", "position": [1, 7], "step": 15, "ordinal_position": 16}, {"identifier": "B48", "position": [1, 6], "step": 16, "ordinal_position": 17}, {"identifier": "Z84", "position": [1, 5], "step": 17, "ordinal_position": 18}, {"identifier": "N76", "position": [1, 4], "step": 18, "ordinal_position": 19}, {"identifier": "D67", "position": [1, 3], "step": 19, "ordinal_position": 20}, {"identifier": "Q50", "position": [1, 2], "step": 20, "ordinal_position": 21}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 21, "direction": "down", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_016.json"}} {"qa_id": "140cc701849548309b481e6f2f0f2118", "image_id": "L3-MazeLoop-test_21x21_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A58, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 9th position in this traversal?", "start_object_id": "A58", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [9], "ordinal_strings": ["9th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "J65", "traversal_path": [{"identifier": "A58", "position": [12, 15], "step": 0, "ordinal_position": 1}, {"identifier": "G86", "position": [11, 15], "step": 1, "ordinal_position": 2}, {"identifier": "V15", "position": [10, 15], "step": 2, "ordinal_position": 3}, {"identifier": "D97", "position": [9, 15], "step": 3, "ordinal_position": 4}, {"identifier": "L59", "position": [8, 15], "step": 4, "ordinal_position": 5}, {"identifier": "J16", "position": [7, 15], "step": 5, "ordinal_position": 6}, {"identifier": "A69", "position": [7, 14], "step": 6, "ordinal_position": 7}, {"identifier": "I33", "position": [7, 13], "step": 7, "ordinal_position": 8}, {"identifier": "J65", "position": [8, 13], "step": 8, "ordinal_position": 9}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 9, "direction": "left", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_016.json"}} {"qa_id": "349a198b87e7418793abbd1ef3e941c3", "image_id": "L3-MazeLoop-test_21x21_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled P71, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 21st position in this traversal?", "start_object_id": "P71", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [21], "ordinal_strings": ["21st"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "O11", "traversal_path": [{"identifier": "P71", "position": [19, 12], "step": 0, "ordinal_position": 1}, {"identifier": "E37", "position": [19, 11], "step": 1, "ordinal_position": 2}, {"identifier": "A89", "position": [19, 10], "step": 2, "ordinal_position": 3}, {"identifier": "F02", "position": [19, 9], "step": 3, "ordinal_position": 4}, {"identifier": "Q56", "position": [19, 8], "step": 4, "ordinal_position": 5}, {"identifier": "Y31", "position": [19, 7], "step": 5, "ordinal_position": 6}, {"identifier": "V82", "position": [19, 6], "step": 6, "ordinal_position": 7}, {"identifier": "B61", "position": [19, 5], "step": 7, "ordinal_position": 8}, {"identifier": "X77", "position": [19, 4], "step": 8, "ordinal_position": 9}, {"identifier": "S60", "position": [19, 3], "step": 9, "ordinal_position": 10}, {"identifier": "G03", "position": [19, 2], "step": 10, "ordinal_position": 11}, {"identifier": "C27", "position": [19, 1], "step": 11, "ordinal_position": 12}, {"identifier": "L58", "position": [18, 1], "step": 12, "ordinal_position": 13}, {"identifier": "N99", "position": [17, 1], "step": 13, "ordinal_position": 14}, {"identifier": "I95", "position": [17, 2], "step": 14, "ordinal_position": 15}, {"identifier": "P30", "position": [17, 3], "step": 15, "ordinal_position": 16}, {"identifier": "V04", "position": [17, 4], "step": 16, "ordinal_position": 17}, {"identifier": "E80", "position": [17, 5], "step": 17, "ordinal_position": 18}, {"identifier": "S32", "position": [17, 6], "step": 18, "ordinal_position": 19}, {"identifier": "M99", "position": [17, 7], "step": 19, "ordinal_position": 20}, {"identifier": "O11", "position": [17, 8], "step": 20, "ordinal_position": 21}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 21, "direction": "up", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_016.json"}} {"qa_id": "69f2ffaf71e24632b8fb7be5184d0b00", "image_id": "L3-MazeLoop-test_21x21_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q74, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "Q74", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "K96", "traversal_path": [{"identifier": "Q74", "position": [5, 18], "step": 0, "ordinal_position": 1}, {"identifier": "A00", "position": [5, 17], "step": 1, "ordinal_position": 2}, {"identifier": "O48", "position": [5, 16], "step": 2, "ordinal_position": 3}, {"identifier": "G95", "position": [5, 15], "step": 3, "ordinal_position": 4}, {"identifier": "K96", "position": [5, 14], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 5, "direction": "up", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_016.json"}} {"qa_id": "ba91783ac0a24a1f96a3bb36d078c571", "image_id": "L3-MazeLoop-test_21x21_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I33, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 82nd position in this traversal?", "start_object_id": "I33", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [82], "ordinal_strings": ["82nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "P71", "traversal_path": [{"identifier": "I33", "position": [7, 13], "step": 0, "ordinal_position": 1}, {"identifier": "A69", "position": [7, 14], "step": 1, "ordinal_position": 2}, {"identifier": "J16", "position": [7, 15], "step": 2, "ordinal_position": 3}, {"identifier": "L59", "position": [8, 15], "step": 3, "ordinal_position": 4}, {"identifier": "D97", "position": [9, 15], "step": 4, "ordinal_position": 5}, {"identifier": "V15", "position": [10, 15], "step": 5, "ordinal_position": 6}, {"identifier": "G86", "position": [11, 15], "step": 6, "ordinal_position": 7}, {"identifier": "A58", "position": [12, 15], "step": 7, "ordinal_position": 8}, {"identifier": "G37", "position": [13, 15], "step": 8, "ordinal_position": 9}, {"identifier": "A92", "position": [13, 16], "step": 9, "ordinal_position": 10}, {"identifier": "Q89", "position": [13, 17], "step": 10, "ordinal_position": 11}, {"identifier": "E42", "position": [13, 18], "step": 11, "ordinal_position": 12}, {"identifier": "I70", "position": [13, 19], "step": 12, "ordinal_position": 13}, {"identifier": "G16", "position": [14, 19], "step": 13, "ordinal_position": 14}, {"identifier": "N18", "position": [15, 19], "step": 14, "ordinal_position": 15}, {"identifier": "D05", "position": [16, 19], "step": 15, "ordinal_position": 16}, {"identifier": "Y46", "position": [17, 19], "step": 16, "ordinal_position": 17}, {"identifier": "A87", "position": [18, 19], "step": 17, "ordinal_position": 18}, {"identifier": "S42", "position": [19, 19], "step": 18, "ordinal_position": 19}, {"identifier": "Y28", "position": [19, 18], "step": 19, "ordinal_position": 20}, {"identifier": "E45", "position": [19, 17], "step": 20, "ordinal_position": 21}, {"identifier": "D37", "position": [19, 16], "step": 21, "ordinal_position": 22}, {"identifier": "B78", "position": [19, 15], "step": 22, "ordinal_position": 23}, {"identifier": "W08", "position": [19, 14], "step": 23, "ordinal_position": 24}, {"identifier": "M57", "position": [19, 13], "step": 24, "ordinal_position": 25}, {"identifier": "P71", "position": [19, 12], "step": 25, "ordinal_position": 26}, {"identifier": "E37", "position": [19, 11], "step": 26, "ordinal_position": 27}, {"identifier": "A89", "position": [19, 10], "step": 27, "ordinal_position": 28}, {"identifier": "F02", "position": [19, 9], "step": 28, "ordinal_position": 29}, {"identifier": "Q56", "position": [19, 8], "step": 29, "ordinal_position": 30}, {"identifier": "Y31", "position": [19, 7], "step": 30, "ordinal_position": 31}, {"identifier": "V82", "position": [19, 6], "step": 31, "ordinal_position": 32}, {"identifier": "B61", "position": [19, 5], "step": 32, "ordinal_position": 33}, {"identifier": "X77", "position": [19, 4], "step": 33, "ordinal_position": 34}, {"identifier": "S60", "position": [19, 3], "step": 34, "ordinal_position": 35}, {"identifier": "G03", "position": [19, 2], "step": 35, "ordinal_position": 36}, {"identifier": "C27", "position": [19, 1], "step": 36, "ordinal_position": 37}, {"identifier": "L58", "position": [18, 1], "step": 37, "ordinal_position": 38}, {"identifier": "N99", "position": [17, 1], "step": 38, "ordinal_position": 39}, {"identifier": "I95", "position": [17, 2], "step": 39, "ordinal_position": 40}, {"identifier": "P30", "position": [17, 3], "step": 40, "ordinal_position": 41}, {"identifier": "V04", "position": [17, 4], "step": 41, "ordinal_position": 42}, {"identifier": "E80", "position": [17, 5], "step": 42, "ordinal_position": 43}, {"identifier": "S32", "position": [17, 6], "step": 43, "ordinal_position": 44}, {"identifier": "M99", "position": [17, 7], "step": 44, "ordinal_position": 45}, {"identifier": "O11", "position": [17, 8], "step": 45, "ordinal_position": 46}, {"identifier": "Y37", "position": [17, 9], "step": 46, "ordinal_position": 47}, {"identifier": "C30", "position": [16, 9], "step": 47, "ordinal_position": 48}, {"identifier": "J41", "position": [15, 9], "step": 48, "ordinal_position": 49}, {"identifier": "J13", "position": [14, 9], "step": 49, "ordinal_position": 50}, {"identifier": "K60", "position": [13, 9], "step": 50, "ordinal_position": 51}, {"identifier": "Y05", "position": [13, 8], "step": 51, "ordinal_position": 52}, {"identifier": "F59", "position": [13, 7], "step": 52, "ordinal_position": 53}, {"identifier": "I79", "position": [12, 7], "step": 53, "ordinal_position": 54}, {"identifier": "H92", "position": [11, 7], "step": 54, "ordinal_position": 55}, {"identifier": "M05", "position": [11, 8], "step": 55, "ordinal_position": 56}, {"identifier": "X23", "position": [11, 9], "step": 56, "ordinal_position": 57}, {"identifier": "L01", "position": [11, 10], "step": 57, "ordinal_position": 58}, {"identifier": "Y98", "position": [11, 11], "step": 58, "ordinal_position": 59}, {"identifier": "I10", "position": [12, 11], "step": 59, "ordinal_position": 60}, {"identifier": "Z60", "position": [13, 11], "step": 60, "ordinal_position": 61}, {"identifier": "F08", "position": [13, 12], "step": 61, "ordinal_position": 62}, {"identifier": "I47", "position": [13, 13], "step": 62, "ordinal_position": 63}, {"identifier": "Y02", "position": [14, 13], "step": 63, "ordinal_position": 64}, {"identifier": "G83", "position": [15, 13], "step": 64, "ordinal_position": 65}, {"identifier": "K68", "position": [15, 14], "step": 65, "ordinal_position": 66}, {"identifier": "V44", "position": [15, 15], "step": 66, "ordinal_position": 67}, {"identifier": "R12", "position": [15, 16], "step": 67, "ordinal_position": 68}, {"identifier": "D42", "position": [15, 17], "step": 68, "ordinal_position": 69}, {"identifier": "W00", "position": [16, 17], "step": 69, "ordinal_position": 70}, {"identifier": "O30", "position": [17, 17], "step": 70, "ordinal_position": 71}, {"identifier": "V23", "position": [17, 18], "step": 71, "ordinal_position": 72}, {"identifier": "Y46", "position": [17, 19], "step": 72, "ordinal_position": 73}, {"identifier": "A87", "position": [18, 19], "step": 73, "ordinal_position": 74}, {"identifier": "S42", "position": [19, 19], "step": 74, "ordinal_position": 75}, {"identifier": "Y28", "position": [19, 18], "step": 75, "ordinal_position": 76}, {"identifier": "E45", "position": [19, 17], "step": 76, "ordinal_position": 77}, {"identifier": "D37", "position": [19, 16], "step": 77, "ordinal_position": 78}, {"identifier": "B78", "position": [19, 15], "step": 78, "ordinal_position": 79}, {"identifier": "W08", "position": [19, 14], "step": 79, "ordinal_position": 80}, {"identifier": "M57", "position": [19, 13], "step": 80, "ordinal_position": 81}, {"identifier": "P71", "position": [19, 12], "step": 81, "ordinal_position": 82}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 82, "direction": "down", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_016.json"}} {"qa_id": "9ccf74c33ef24780ba5edd25809acb94", "image_id": "L3-MazeLoop-test_21x21_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W56, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 81st position in this traversal?", "start_object_id": "W56", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [81], "ordinal_strings": ["81st"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "P82", "traversal_path": [{"identifier": "W56", "position": [7, 11], "step": 0, "ordinal_position": 1}, {"identifier": "T31", "position": [7, 10], "step": 1, "ordinal_position": 2}, {"identifier": "S87", "position": [7, 9], "step": 2, "ordinal_position": 3}, {"identifier": "B07", "position": [8, 9], "step": 3, "ordinal_position": 4}, {"identifier": "K75", "position": [9, 9], "step": 4, "ordinal_position": 5}, {"identifier": "X85", "position": [9, 8], "step": 5, "ordinal_position": 6}, {"identifier": "G24", "position": [9, 7], "step": 6, "ordinal_position": 7}, {"identifier": "H99", "position": [8, 7], "step": 7, "ordinal_position": 8}, {"identifier": "Z19", "position": [7, 7], "step": 8, "ordinal_position": 9}, {"identifier": "A93", "position": [7, 6], "step": 9, "ordinal_position": 10}, {"identifier": "B74", "position": [7, 5], "step": 10, "ordinal_position": 11}, {"identifier": "H98", "position": [6, 5], "step": 11, "ordinal_position": 12}, {"identifier": "I67", "position": [5, 5], "step": 12, "ordinal_position": 13}, {"identifier": "O51", "position": [4, 5], "step": 13, "ordinal_position": 14}, {"identifier": "H07", "position": [3, 5], "step": 14, "ordinal_position": 15}, {"identifier": "F86", "position": [3, 4], "step": 15, "ordinal_position": 16}, {"identifier": "Z10", "position": [3, 3], "step": 16, "ordinal_position": 17}, {"identifier": "O08", "position": [3, 2], "step": 17, "ordinal_position": 18}, {"identifier": "G44", "position": [3, 1], "step": 18, "ordinal_position": 19}, {"identifier": "S30", "position": [4, 1], "step": 19, "ordinal_position": 20}, {"identifier": "R10", "position": [5, 1], "step": 20, "ordinal_position": 21}, {"identifier": "A44", "position": [6, 1], "step": 21, "ordinal_position": 22}, {"identifier": "D28", "position": [7, 1], "step": 22, "ordinal_position": 23}, {"identifier": "R15", "position": [8, 1], "step": 23, "ordinal_position": 24}, {"identifier": "Q87", "position": [9, 1], "step": 24, "ordinal_position": 25}, {"identifier": "R07", "position": [10, 1], "step": 25, "ordinal_position": 26}, {"identifier": "I59", "position": [11, 1], "step": 26, "ordinal_position": 27}, {"identifier": "Z74", "position": [12, 1], "step": 27, "ordinal_position": 28}, {"identifier": "O28", "position": [13, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Q79", "position": [14, 1], "step": 29, "ordinal_position": 30}, {"identifier": "Q84", "position": [15, 1], "step": 30, "ordinal_position": 31}, {"identifier": "N70", "position": [15, 2], "step": 31, "ordinal_position": 32}, {"identifier": "J11", "position": [15, 3], "step": 32, "ordinal_position": 33}, {"identifier": "X12", "position": [15, 4], "step": 33, "ordinal_position": 34}, {"identifier": "E03", "position": [15, 5], "step": 34, "ordinal_position": 35}, {"identifier": "X41", "position": [15, 6], "step": 35, "ordinal_position": 36}, {"identifier": "A53", "position": [15, 7], "step": 36, "ordinal_position": 37}, {"identifier": "L90", "position": [14, 7], "step": 37, "ordinal_position": 38}, {"identifier": "F59", "position": [13, 7], "step": 38, "ordinal_position": 39}, {"identifier": "I79", "position": [12, 7], "step": 39, "ordinal_position": 40}, {"identifier": "H92", "position": [11, 7], "step": 40, "ordinal_position": 41}, {"identifier": "M05", "position": [11, 8], "step": 41, "ordinal_position": 42}, {"identifier": "X23", "position": [11, 9], "step": 42, "ordinal_position": 43}, {"identifier": "L01", "position": [11, 10], "step": 43, "ordinal_position": 44}, {"identifier": "Y98", "position": [11, 11], "step": 44, "ordinal_position": 45}, {"identifier": "I10", "position": [12, 11], "step": 45, "ordinal_position": 46}, {"identifier": "Z60", "position": [13, 11], "step": 46, "ordinal_position": 47}, {"identifier": "F08", "position": [13, 12], "step": 47, "ordinal_position": 48}, {"identifier": "I47", "position": [13, 13], "step": 48, "ordinal_position": 49}, {"identifier": "C24", "position": [12, 13], "step": 49, "ordinal_position": 50}, {"identifier": "S90", "position": [11, 13], "step": 50, "ordinal_position": 51}, {"identifier": "R86", "position": [10, 13], "step": 51, "ordinal_position": 52}, {"identifier": "W64", "position": [9, 13], "step": 52, "ordinal_position": 53}, {"identifier": "J65", "position": [8, 13], "step": 53, "ordinal_position": 54}, {"identifier": "I33", "position": [7, 13], "step": 54, "ordinal_position": 55}, {"identifier": "A69", "position": [7, 14], "step": 55, "ordinal_position": 56}, {"identifier": "J16", "position": [7, 15], "step": 56, "ordinal_position": 57}, {"identifier": "L59", "position": [8, 15], "step": 57, "ordinal_position": 58}, {"identifier": "D97", "position": [9, 15], "step": 58, "ordinal_position": 59}, {"identifier": "V15", "position": [10, 15], "step": 59, "ordinal_position": 60}, {"identifier": "G86", "position": [11, 15], "step": 60, "ordinal_position": 61}, {"identifier": "A58", "position": [12, 15], "step": 61, "ordinal_position": 62}, {"identifier": "G37", "position": [13, 15], "step": 62, "ordinal_position": 63}, {"identifier": "A92", "position": [13, 16], "step": 63, "ordinal_position": 64}, {"identifier": "Q89", "position": [13, 17], "step": 64, "ordinal_position": 65}, {"identifier": "E42", "position": [13, 18], "step": 65, "ordinal_position": 66}, {"identifier": "I70", "position": [13, 19], "step": 66, "ordinal_position": 67}, {"identifier": "S19", "position": [12, 19], "step": 67, "ordinal_position": 68}, {"identifier": "P40", "position": [11, 19], "step": 68, "ordinal_position": 69}, {"identifier": "H81", "position": [10, 19], "step": 69, "ordinal_position": 70}, {"identifier": "G07", "position": [9, 19], "step": 70, "ordinal_position": 71}, {"identifier": "L18", "position": [8, 19], "step": 71, "ordinal_position": 72}, {"identifier": "M19", "position": [7, 19], "step": 72, "ordinal_position": 73}, {"identifier": "V77", "position": [6, 19], "step": 73, "ordinal_position": 74}, {"identifier": "K94", "position": [5, 19], "step": 74, "ordinal_position": 75}, {"identifier": "V93", "position": [4, 19], "step": 75, "ordinal_position": 76}, {"identifier": "L14", "position": [3, 19], "step": 76, "ordinal_position": 77}, {"identifier": "V89", "position": [2, 19], "step": 77, "ordinal_position": 78}, {"identifier": "Q38", "position": [1, 19], "step": 78, "ordinal_position": 79}, {"identifier": "Y85", "position": [1, 18], "step": 79, "ordinal_position": 80}, {"identifier": "P82", "position": [1, 17], "step": 80, "ordinal_position": 81}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 81, "direction": "up", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_016.json"}} {"qa_id": "4f7bee31cd554a628f584b03682d8559", "image_id": "L3-MazeLoop-test_21x21_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z10, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 63rd position in this traversal?", "start_object_id": "Z10", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [63], "ordinal_strings": ["63rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "D67", "traversal_path": [{"identifier": "Z10", "position": [3, 3], "step": 0, "ordinal_position": 1}, {"identifier": "O08", "position": [3, 2], "step": 1, "ordinal_position": 2}, {"identifier": "G44", "position": [3, 1], "step": 2, "ordinal_position": 3}, {"identifier": "A80", "position": [2, 1], "step": 3, "ordinal_position": 4}, {"identifier": "C65", "position": [1, 1], "step": 4, "ordinal_position": 5}, {"identifier": "Q50", "position": [1, 2], "step": 5, "ordinal_position": 6}, {"identifier": "D67", "position": [1, 3], "step": 6, "ordinal_position": 7}, {"identifier": "N76", "position": [1, 4], "step": 7, "ordinal_position": 8}, {"identifier": "Z84", "position": [1, 5], "step": 8, "ordinal_position": 9}, {"identifier": "B48", "position": [1, 6], "step": 9, "ordinal_position": 10}, {"identifier": "Z02", "position": [1, 7], "step": 10, "ordinal_position": 11}, {"identifier": "Q73", "position": [1, 8], "step": 11, "ordinal_position": 12}, {"identifier": "R73", "position": [1, 9], "step": 12, "ordinal_position": 13}, {"identifier": "C10", "position": [1, 10], "step": 13, "ordinal_position": 14}, {"identifier": "L74", "position": [1, 11], "step": 14, "ordinal_position": 15}, {"identifier": "D76", "position": [2, 11], "step": 15, "ordinal_position": 16}, {"identifier": "J07", "position": [3, 11], "step": 16, "ordinal_position": 17}, {"identifier": "P69", "position": [4, 11], "step": 17, "ordinal_position": 18}, {"identifier": "M39", "position": [5, 11], "step": 18, "ordinal_position": 19}, {"identifier": "A01", "position": [5, 10], "step": 19, "ordinal_position": 20}, {"identifier": "U38", "position": [5, 9], "step": 20, "ordinal_position": 21}, {"identifier": "U91", "position": [5, 8], "step": 21, "ordinal_position": 22}, {"identifier": "Q48", "position": [5, 7], "step": 22, "ordinal_position": 23}, {"identifier": "Y16", "position": [4, 7], "step": 23, "ordinal_position": 24}, {"identifier": "E81", "position": [3, 7], "step": 24, "ordinal_position": 25}, {"identifier": "B55", "position": [3, 6], "step": 25, "ordinal_position": 26}, {"identifier": "H07", "position": [3, 5], "step": 26, "ordinal_position": 27}, {"identifier": "F86", "position": [3, 4], "step": 27, "ordinal_position": 28}, {"identifier": "Z10", "position": [3, 3], "step": 28, "ordinal_position": 29}, {"identifier": "O08", "position": [3, 2], "step": 29, "ordinal_position": 30}, {"identifier": "G44", "position": [3, 1], "step": 30, "ordinal_position": 31}, {"identifier": "A80", "position": [2, 1], "step": 31, "ordinal_position": 32}, {"identifier": "C65", "position": [1, 1], "step": 32, "ordinal_position": 33}, {"identifier": "Q50", "position": [1, 2], "step": 33, "ordinal_position": 34}, {"identifier": "D67", "position": [1, 3], "step": 34, "ordinal_position": 35}, {"identifier": "N76", "position": [1, 4], "step": 35, "ordinal_position": 36}, {"identifier": "Z84", "position": [1, 5], "step": 36, "ordinal_position": 37}, {"identifier": "B48", "position": [1, 6], "step": 37, "ordinal_position": 38}, {"identifier": "Z02", "position": [1, 7], "step": 38, "ordinal_position": 39}, {"identifier": "Q73", "position": [1, 8], "step": 39, "ordinal_position": 40}, {"identifier": "R73", "position": [1, 9], "step": 40, "ordinal_position": 41}, {"identifier": "C10", "position": [1, 10], "step": 41, "ordinal_position": 42}, {"identifier": "L74", "position": [1, 11], "step": 42, "ordinal_position": 43}, {"identifier": "D76", "position": [2, 11], "step": 43, "ordinal_position": 44}, {"identifier": "J07", "position": [3, 11], "step": 44, "ordinal_position": 45}, {"identifier": "P69", "position": [4, 11], "step": 45, "ordinal_position": 46}, {"identifier": "M39", "position": [5, 11], "step": 46, "ordinal_position": 47}, {"identifier": "A01", "position": [5, 10], "step": 47, "ordinal_position": 48}, {"identifier": "U38", "position": [5, 9], "step": 48, "ordinal_position": 49}, {"identifier": "U91", "position": [5, 8], "step": 49, "ordinal_position": 50}, {"identifier": "Q48", "position": [5, 7], "step": 50, "ordinal_position": 51}, {"identifier": "Y16", "position": [4, 7], "step": 51, "ordinal_position": 52}, {"identifier": "E81", "position": [3, 7], "step": 52, "ordinal_position": 53}, {"identifier": "B55", "position": [3, 6], "step": 53, "ordinal_position": 54}, {"identifier": "H07", "position": [3, 5], "step": 54, "ordinal_position": 55}, {"identifier": "F86", "position": [3, 4], "step": 55, "ordinal_position": 56}, {"identifier": "Z10", "position": [3, 3], "step": 56, "ordinal_position": 57}, {"identifier": "O08", "position": [3, 2], "step": 57, "ordinal_position": 58}, {"identifier": "G44", "position": [3, 1], "step": 58, "ordinal_position": 59}, {"identifier": "A80", "position": [2, 1], "step": 59, "ordinal_position": 60}, {"identifier": "C65", "position": [1, 1], "step": 60, "ordinal_position": 61}, {"identifier": "Q50", "position": [1, 2], "step": 61, "ordinal_position": 62}, {"identifier": "D67", "position": [1, 3], "step": 62, "ordinal_position": 63}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 63, "direction": "up", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_016.json"}} {"qa_id": "0970f29b9ad545b691ade8d03199a41d", "image_id": "L3-MazeLoop-test_21x21_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G00, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 65th position in this traversal?", "start_object_id": "G00", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [65], "ordinal_strings": ["65th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "T43", "traversal_path": [{"identifier": "G00", "position": [7, 3], "step": 0, "ordinal_position": 1}, {"identifier": "F13", "position": [7, 2], "step": 1, "ordinal_position": 2}, {"identifier": "D28", "position": [7, 1], "step": 2, "ordinal_position": 3}, {"identifier": "R15", "position": [8, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Q87", "position": [9, 1], "step": 4, "ordinal_position": 5}, {"identifier": "R07", "position": [10, 1], "step": 5, "ordinal_position": 6}, {"identifier": "I59", "position": [11, 1], "step": 6, "ordinal_position": 7}, {"identifier": "Z74", "position": [12, 1], "step": 7, "ordinal_position": 8}, {"identifier": "O28", "position": [13, 1], "step": 8, "ordinal_position": 9}, {"identifier": "Q79", "position": [14, 1], "step": 9, "ordinal_position": 10}, {"identifier": "Q84", "position": [15, 1], "step": 10, "ordinal_position": 11}, {"identifier": "N70", "position": [15, 2], "step": 11, "ordinal_position": 12}, {"identifier": "J11", "position": [15, 3], "step": 12, "ordinal_position": 13}, {"identifier": "X12", "position": [15, 4], "step": 13, "ordinal_position": 14}, {"identifier": "E03", "position": [15, 5], "step": 14, "ordinal_position": 15}, {"identifier": "X41", "position": [15, 6], "step": 15, "ordinal_position": 16}, {"identifier": "A53", "position": [15, 7], "step": 16, "ordinal_position": 17}, {"identifier": "L90", "position": [14, 7], "step": 17, "ordinal_position": 18}, {"identifier": "F59", "position": [13, 7], "step": 18, "ordinal_position": 19}, {"identifier": "I79", "position": [12, 7], "step": 19, "ordinal_position": 20}, {"identifier": "H92", "position": [11, 7], "step": 20, "ordinal_position": 21}, {"identifier": "M05", "position": [11, 8], "step": 21, "ordinal_position": 22}, {"identifier": "X23", "position": [11, 9], "step": 22, "ordinal_position": 23}, {"identifier": "L01", "position": [11, 10], "step": 23, "ordinal_position": 24}, {"identifier": "Y98", "position": [11, 11], "step": 24, "ordinal_position": 25}, {"identifier": "I10", "position": [12, 11], "step": 25, "ordinal_position": 26}, {"identifier": "Z60", "position": [13, 11], "step": 26, "ordinal_position": 27}, {"identifier": "F08", "position": [13, 12], "step": 27, "ordinal_position": 28}, {"identifier": "I47", "position": [13, 13], "step": 28, "ordinal_position": 29}, {"identifier": "C24", "position": [12, 13], "step": 29, "ordinal_position": 30}, {"identifier": "S90", "position": [11, 13], "step": 30, "ordinal_position": 31}, {"identifier": "R86", "position": [10, 13], "step": 31, "ordinal_position": 32}, {"identifier": "W64", "position": [9, 13], "step": 32, "ordinal_position": 33}, {"identifier": "J65", "position": [8, 13], "step": 33, "ordinal_position": 34}, {"identifier": "I33", "position": [7, 13], "step": 34, "ordinal_position": 35}, {"identifier": "A69", "position": [7, 14], "step": 35, "ordinal_position": 36}, {"identifier": "J16", "position": [7, 15], "step": 36, "ordinal_position": 37}, {"identifier": "L59", "position": [8, 15], "step": 37, "ordinal_position": 38}, {"identifier": "D97", "position": [9, 15], "step": 38, "ordinal_position": 39}, {"identifier": "V15", "position": [10, 15], "step": 39, "ordinal_position": 40}, {"identifier": "G86", "position": [11, 15], "step": 40, "ordinal_position": 41}, {"identifier": "A58", "position": [12, 15], "step": 41, "ordinal_position": 42}, {"identifier": "G37", "position": [13, 15], "step": 42, "ordinal_position": 43}, {"identifier": "A92", "position": [13, 16], "step": 43, "ordinal_position": 44}, {"identifier": "Q89", "position": [13, 17], "step": 44, "ordinal_position": 45}, {"identifier": "E42", "position": [13, 18], "step": 45, "ordinal_position": 46}, {"identifier": "I70", "position": [13, 19], "step": 46, "ordinal_position": 47}, {"identifier": "S19", "position": [12, 19], "step": 47, "ordinal_position": 48}, {"identifier": "P40", "position": [11, 19], "step": 48, "ordinal_position": 49}, {"identifier": "H81", "position": [10, 19], "step": 49, "ordinal_position": 50}, {"identifier": "G07", "position": [9, 19], "step": 50, "ordinal_position": 51}, {"identifier": "L18", "position": [8, 19], "step": 51, "ordinal_position": 52}, {"identifier": "M19", "position": [7, 19], "step": 52, "ordinal_position": 53}, {"identifier": "V77", "position": [6, 19], "step": 53, "ordinal_position": 54}, {"identifier": "K94", "position": [5, 19], "step": 54, "ordinal_position": 55}, {"identifier": "V93", "position": [4, 19], "step": 55, "ordinal_position": 56}, {"identifier": "L14", "position": [3, 19], "step": 56, "ordinal_position": 57}, {"identifier": "V89", "position": [2, 19], "step": 57, "ordinal_position": 58}, {"identifier": "Q38", "position": [1, 19], "step": 58, "ordinal_position": 59}, {"identifier": "Y85", "position": [1, 18], "step": 59, "ordinal_position": 60}, {"identifier": "P82", "position": [1, 17], "step": 60, "ordinal_position": 61}, {"identifier": "P45", "position": [2, 17], "step": 61, "ordinal_position": 62}, {"identifier": "B33", "position": [3, 17], "step": 62, "ordinal_position": 63}, {"identifier": "D71", "position": [3, 16], "step": 63, "ordinal_position": 64}, {"identifier": "T43", "position": [3, 15], "step": 64, "ordinal_position": 65}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 65, "direction": "up", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_016.json"}} {"qa_id": "e3a43fdcb8934faa9078bbab4af45a3a", "image_id": "L3-MazeLoop-test_21x21_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B48, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 87th position in this traversal?", "start_object_id": "B48", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [87], "ordinal_strings": ["87th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Q73", "traversal_path": [{"identifier": "B48", "position": [1, 6], "step": 0, "ordinal_position": 1}, {"identifier": "Z02", "position": [1, 7], "step": 1, "ordinal_position": 2}, {"identifier": "Q73", "position": [1, 8], "step": 2, "ordinal_position": 3}, {"identifier": "R73", "position": [1, 9], "step": 3, "ordinal_position": 4}, {"identifier": "C10", "position": [1, 10], "step": 4, "ordinal_position": 5}, {"identifier": "L74", "position": [1, 11], "step": 5, "ordinal_position": 6}, {"identifier": "D76", "position": [2, 11], "step": 6, "ordinal_position": 7}, {"identifier": "J07", "position": [3, 11], "step": 7, "ordinal_position": 8}, {"identifier": "P69", "position": [4, 11], "step": 8, "ordinal_position": 9}, {"identifier": "M39", "position": [5, 11], "step": 9, "ordinal_position": 10}, {"identifier": "A01", "position": [5, 10], "step": 10, "ordinal_position": 11}, {"identifier": "U38", "position": [5, 9], "step": 11, "ordinal_position": 12}, {"identifier": "U91", "position": [5, 8], "step": 12, "ordinal_position": 13}, {"identifier": "Q48", "position": [5, 7], "step": 13, "ordinal_position": 14}, {"identifier": "Y16", "position": [4, 7], "step": 14, "ordinal_position": 15}, {"identifier": "E81", "position": [3, 7], "step": 15, "ordinal_position": 16}, {"identifier": "B55", "position": [3, 6], "step": 16, "ordinal_position": 17}, {"identifier": "H07", "position": [3, 5], "step": 17, "ordinal_position": 18}, {"identifier": "F86", "position": [3, 4], "step": 18, "ordinal_position": 19}, {"identifier": "Z10", "position": [3, 3], "step": 19, "ordinal_position": 20}, {"identifier": "O08", "position": [3, 2], "step": 20, "ordinal_position": 21}, {"identifier": "G44", "position": [3, 1], "step": 21, "ordinal_position": 22}, {"identifier": "A80", "position": [2, 1], "step": 22, "ordinal_position": 23}, {"identifier": "C65", "position": [1, 1], "step": 23, "ordinal_position": 24}, {"identifier": "Q50", "position": [1, 2], "step": 24, "ordinal_position": 25}, {"identifier": "D67", "position": [1, 3], "step": 25, "ordinal_position": 26}, {"identifier": "N76", "position": [1, 4], "step": 26, "ordinal_position": 27}, {"identifier": "Z84", "position": [1, 5], "step": 27, "ordinal_position": 28}, {"identifier": "B48", "position": [1, 6], "step": 28, "ordinal_position": 29}, {"identifier": "Z02", "position": [1, 7], "step": 29, "ordinal_position": 30}, {"identifier": "Q73", "position": [1, 8], "step": 30, "ordinal_position": 31}, {"identifier": "R73", "position": [1, 9], "step": 31, "ordinal_position": 32}, {"identifier": "C10", "position": [1, 10], "step": 32, "ordinal_position": 33}, {"identifier": "L74", "position": [1, 11], "step": 33, "ordinal_position": 34}, {"identifier": "D76", "position": [2, 11], "step": 34, "ordinal_position": 35}, {"identifier": "J07", "position": [3, 11], "step": 35, "ordinal_position": 36}, {"identifier": "P69", "position": [4, 11], "step": 36, "ordinal_position": 37}, {"identifier": "M39", "position": [5, 11], "step": 37, "ordinal_position": 38}, {"identifier": "A01", "position": [5, 10], "step": 38, "ordinal_position": 39}, {"identifier": "U38", "position": [5, 9], "step": 39, "ordinal_position": 40}, {"identifier": "U91", "position": [5, 8], "step": 40, "ordinal_position": 41}, {"identifier": "Q48", "position": [5, 7], "step": 41, "ordinal_position": 42}, {"identifier": "Y16", "position": [4, 7], "step": 42, "ordinal_position": 43}, {"identifier": "E81", "position": [3, 7], "step": 43, "ordinal_position": 44}, {"identifier": "B55", "position": [3, 6], "step": 44, "ordinal_position": 45}, {"identifier": "H07", "position": [3, 5], "step": 45, "ordinal_position": 46}, {"identifier": "F86", "position": [3, 4], "step": 46, "ordinal_position": 47}, {"identifier": "Z10", "position": [3, 3], "step": 47, "ordinal_position": 48}, {"identifier": "O08", "position": [3, 2], "step": 48, "ordinal_position": 49}, {"identifier": "G44", "position": [3, 1], "step": 49, "ordinal_position": 50}, {"identifier": "A80", "position": [2, 1], "step": 50, "ordinal_position": 51}, {"identifier": "C65", "position": [1, 1], "step": 51, "ordinal_position": 52}, {"identifier": "Q50", "position": [1, 2], "step": 52, "ordinal_position": 53}, {"identifier": "D67", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "N76", "position": [1, 4], "step": 54, "ordinal_position": 55}, {"identifier": "Z84", "position": [1, 5], "step": 55, "ordinal_position": 56}, {"identifier": "B48", "position": [1, 6], "step": 56, "ordinal_position": 57}, {"identifier": "Z02", "position": [1, 7], "step": 57, "ordinal_position": 58}, {"identifier": "Q73", "position": [1, 8], "step": 58, "ordinal_position": 59}, {"identifier": "R73", "position": [1, 9], "step": 59, "ordinal_position": 60}, {"identifier": "C10", "position": [1, 10], "step": 60, "ordinal_position": 61}, {"identifier": "L74", "position": [1, 11], "step": 61, "ordinal_position": 62}, {"identifier": "D76", "position": [2, 11], "step": 62, "ordinal_position": 63}, {"identifier": "J07", "position": [3, 11], "step": 63, "ordinal_position": 64}, {"identifier": "P69", "position": [4, 11], "step": 64, "ordinal_position": 65}, {"identifier": "M39", "position": [5, 11], "step": 65, "ordinal_position": 66}, {"identifier": "A01", "position": [5, 10], "step": 66, "ordinal_position": 67}, {"identifier": "U38", "position": [5, 9], "step": 67, "ordinal_position": 68}, {"identifier": "U91", "position": [5, 8], "step": 68, "ordinal_position": 69}, {"identifier": "Q48", "position": [5, 7], "step": 69, "ordinal_position": 70}, {"identifier": "Y16", "position": [4, 7], "step": 70, "ordinal_position": 71}, {"identifier": "E81", "position": [3, 7], "step": 71, "ordinal_position": 72}, {"identifier": "B55", "position": [3, 6], "step": 72, "ordinal_position": 73}, {"identifier": "H07", "position": [3, 5], "step": 73, "ordinal_position": 74}, {"identifier": "F86", "position": [3, 4], "step": 74, "ordinal_position": 75}, {"identifier": "Z10", "position": [3, 3], "step": 75, "ordinal_position": 76}, {"identifier": "O08", "position": [3, 2], "step": 76, "ordinal_position": 77}, {"identifier": "G44", "position": [3, 1], "step": 77, "ordinal_position": 78}, {"identifier": "A80", "position": [2, 1], "step": 78, "ordinal_position": 79}, {"identifier": "C65", "position": [1, 1], "step": 79, "ordinal_position": 80}, {"identifier": "Q50", "position": [1, 2], "step": 80, "ordinal_position": 81}, {"identifier": "D67", "position": [1, 3], "step": 81, "ordinal_position": 82}, {"identifier": "N76", "position": [1, 4], "step": 82, "ordinal_position": 83}, {"identifier": "Z84", "position": [1, 5], "step": 83, "ordinal_position": 84}, {"identifier": "B48", "position": [1, 6], "step": 84, "ordinal_position": 85}, {"identifier": "Z02", "position": [1, 7], "step": 85, "ordinal_position": 86}, {"identifier": "Q73", "position": [1, 8], "step": 86, "ordinal_position": 87}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 87, "direction": "down", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_016.json"}} {"qa_id": "aa06e76447ed4ea686f0760760c97658", "image_id": "L3-MazeLoop-test_21x21_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled A58, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 209th position in this traversal?", "start_object_id": "A58", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [209], "ordinal_strings": ["209th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Y85", "traversal_path": [{"identifier": "A58", "position": [12, 15], "step": 0, "ordinal_position": 1}, {"identifier": "G86", "position": [11, 15], "step": 1, "ordinal_position": 2}, {"identifier": "V15", "position": [10, 15], "step": 2, "ordinal_position": 3}, {"identifier": "D97", "position": [9, 15], "step": 3, "ordinal_position": 4}, {"identifier": "L59", "position": [8, 15], "step": 4, "ordinal_position": 5}, {"identifier": "J16", "position": [7, 15], "step": 5, "ordinal_position": 6}, {"identifier": "A69", "position": [7, 14], "step": 6, "ordinal_position": 7}, {"identifier": "I33", "position": [7, 13], "step": 7, "ordinal_position": 8}, {"identifier": "J65", "position": [8, 13], "step": 8, "ordinal_position": 9}, {"identifier": "W64", "position": [9, 13], "step": 9, "ordinal_position": 10}, {"identifier": "R86", "position": [10, 13], "step": 10, "ordinal_position": 11}, {"identifier": "S90", "position": [11, 13], "step": 11, "ordinal_position": 12}, {"identifier": "C24", "position": [12, 13], "step": 12, "ordinal_position": 13}, {"identifier": "I47", "position": [13, 13], "step": 13, "ordinal_position": 14}, {"identifier": "Y02", "position": [14, 13], "step": 14, "ordinal_position": 15}, {"identifier": "G83", "position": [15, 13], "step": 15, "ordinal_position": 16}, {"identifier": "K68", "position": [15, 14], "step": 16, "ordinal_position": 17}, {"identifier": "V44", "position": [15, 15], "step": 17, "ordinal_position": 18}, {"identifier": "R12", "position": [15, 16], "step": 18, "ordinal_position": 19}, {"identifier": "D42", "position": [15, 17], "step": 19, "ordinal_position": 20}, {"identifier": "W00", "position": [16, 17], "step": 20, "ordinal_position": 21}, {"identifier": "O30", "position": [17, 17], "step": 21, "ordinal_position": 22}, {"identifier": "V23", "position": [17, 18], "step": 22, "ordinal_position": 23}, {"identifier": "Y46", "position": [17, 19], "step": 23, "ordinal_position": 24}, {"identifier": "D05", "position": [16, 19], "step": 24, "ordinal_position": 25}, {"identifier": "N18", "position": [15, 19], "step": 25, "ordinal_position": 26}, {"identifier": "G16", "position": [14, 19], "step": 26, "ordinal_position": 27}, {"identifier": "I70", "position": [13, 19], "step": 27, "ordinal_position": 28}, {"identifier": "S19", "position": [12, 19], "step": 28, "ordinal_position": 29}, {"identifier": "P40", "position": [11, 19], "step": 29, "ordinal_position": 30}, {"identifier": "H81", "position": [10, 19], "step": 30, "ordinal_position": 31}, {"identifier": "G07", "position": [9, 19], "step": 31, "ordinal_position": 32}, {"identifier": "L18", "position": [8, 19], "step": 32, "ordinal_position": 33}, {"identifier": "M19", "position": [7, 19], "step": 33, "ordinal_position": 34}, {"identifier": "V77", "position": [6, 19], "step": 34, "ordinal_position": 35}, {"identifier": "K94", "position": [5, 19], "step": 35, "ordinal_position": 36}, {"identifier": "V93", "position": [4, 19], "step": 36, "ordinal_position": 37}, {"identifier": "L14", "position": [3, 19], "step": 37, "ordinal_position": 38}, {"identifier": "V89", "position": [2, 19], "step": 38, "ordinal_position": 39}, {"identifier": "Q38", "position": [1, 19], "step": 39, "ordinal_position": 40}, {"identifier": "Y85", "position": [1, 18], "step": 40, "ordinal_position": 41}, {"identifier": "P82", "position": [1, 17], "step": 41, "ordinal_position": 42}, {"identifier": "P45", "position": [2, 17], "step": 42, "ordinal_position": 43}, {"identifier": "B33", "position": [3, 17], "step": 43, "ordinal_position": 44}, {"identifier": "D71", "position": [3, 16], "step": 44, "ordinal_position": 45}, {"identifier": "T43", "position": [3, 15], "step": 45, "ordinal_position": 46}, {"identifier": "B15", "position": [2, 15], "step": 46, "ordinal_position": 47}, {"identifier": "V88", "position": [1, 15], "step": 47, "ordinal_position": 48}, {"identifier": "M85", "position": [1, 14], "step": 48, "ordinal_position": 49}, {"identifier": "H76", "position": [1, 13], "step": 49, "ordinal_position": 50}, {"identifier": "G46", "position": [2, 13], "step": 50, "ordinal_position": 51}, {"identifier": "O92", "position": [3, 13], "step": 51, "ordinal_position": 52}, {"identifier": "T55", "position": [4, 13], "step": 52, "ordinal_position": 53}, {"identifier": "M41", "position": [5, 13], "step": 53, "ordinal_position": 54}, {"identifier": "K96", "position": [5, 14], "step": 54, "ordinal_position": 55}, {"identifier": "G95", "position": [5, 15], "step": 55, "ordinal_position": 56}, {"identifier": "O48", "position": [5, 16], "step": 56, "ordinal_position": 57}, {"identifier": "A00", "position": [5, 17], "step": 57, "ordinal_position": 58}, {"identifier": "Q74", "position": [5, 18], "step": 58, "ordinal_position": 59}, {"identifier": "K94", "position": [5, 19], "step": 59, "ordinal_position": 60}, {"identifier": "V93", "position": [4, 19], "step": 60, "ordinal_position": 61}, {"identifier": "L14", "position": [3, 19], "step": 61, "ordinal_position": 62}, {"identifier": "V89", "position": [2, 19], "step": 62, "ordinal_position": 63}, {"identifier": "Q38", "position": [1, 19], "step": 63, "ordinal_position": 64}, {"identifier": "Y85", "position": [1, 18], "step": 64, "ordinal_position": 65}, {"identifier": "P82", "position": [1, 17], "step": 65, "ordinal_position": 66}, {"identifier": "P45", "position": [2, 17], "step": 66, "ordinal_position": 67}, {"identifier": "B33", "position": [3, 17], "step": 67, "ordinal_position": 68}, {"identifier": "D71", "position": [3, 16], "step": 68, "ordinal_position": 69}, {"identifier": "T43", "position": [3, 15], "step": 69, "ordinal_position": 70}, {"identifier": "B15", "position": [2, 15], "step": 70, "ordinal_position": 71}, {"identifier": "V88", "position": [1, 15], "step": 71, "ordinal_position": 72}, {"identifier": "M85", "position": [1, 14], "step": 72, "ordinal_position": 73}, {"identifier": "H76", "position": [1, 13], "step": 73, "ordinal_position": 74}, {"identifier": "G46", "position": [2, 13], "step": 74, "ordinal_position": 75}, {"identifier": "O92", "position": [3, 13], "step": 75, "ordinal_position": 76}, {"identifier": "T55", "position": [4, 13], "step": 76, "ordinal_position": 77}, {"identifier": "M41", "position": [5, 13], "step": 77, "ordinal_position": 78}, {"identifier": "K96", "position": [5, 14], "step": 78, "ordinal_position": 79}, {"identifier": "G95", "position": [5, 15], "step": 79, "ordinal_position": 80}, {"identifier": "O48", "position": [5, 16], "step": 80, "ordinal_position": 81}, {"identifier": "A00", "position": [5, 17], "step": 81, "ordinal_position": 82}, {"identifier": "Q74", "position": [5, 18], "step": 82, "ordinal_position": 83}, {"identifier": "K94", "position": [5, 19], "step": 83, "ordinal_position": 84}, {"identifier": "V93", "position": [4, 19], "step": 84, "ordinal_position": 85}, {"identifier": "L14", "position": [3, 19], "step": 85, "ordinal_position": 86}, {"identifier": "V89", "position": 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{"identifier": "Q38", "position": [1, 19], "step": 111, "ordinal_position": 112}, {"identifier": "Y85", "position": [1, 18], "step": 112, "ordinal_position": 113}, {"identifier": "P82", "position": [1, 17], "step": 113, "ordinal_position": 114}, {"identifier": "P45", "position": [2, 17], "step": 114, "ordinal_position": 115}, {"identifier": "B33", "position": [3, 17], "step": 115, "ordinal_position": 116}, {"identifier": "D71", "position": [3, 16], "step": 116, "ordinal_position": 117}, {"identifier": "T43", "position": [3, 15], "step": 117, "ordinal_position": 118}, {"identifier": "B15", "position": [2, 15], "step": 118, "ordinal_position": 119}, {"identifier": "V88", "position": [1, 15], "step": 119, "ordinal_position": 120}, {"identifier": "M85", "position": [1, 14], "step": 120, "ordinal_position": 121}, {"identifier": "H76", "position": [1, 13], "step": 121, "ordinal_position": 122}, {"identifier": "G46", "position": [2, 13], "step": 122, "ordinal_position": 123}, {"identifier": "O92", "position": [3, 13], "step": 123, "ordinal_position": 124}, {"identifier": "T55", "position": [4, 13], "step": 124, "ordinal_position": 125}, {"identifier": "M41", "position": [5, 13], "step": 125, "ordinal_position": 126}, {"identifier": "K96", "position": [5, 14], "step": 126, "ordinal_position": 127}, {"identifier": "G95", "position": [5, 15], "step": 127, "ordinal_position": 128}, {"identifier": "O48", "position": [5, 16], "step": 128, "ordinal_position": 129}, {"identifier": "A00", "position": [5, 17], "step": 129, "ordinal_position": 130}, {"identifier": "Q74", "position": [5, 18], "step": 130, "ordinal_position": 131}, {"identifier": "K94", "position": [5, 19], "step": 131, "ordinal_position": 132}, {"identifier": "V93", "position": [4, 19], "step": 132, "ordinal_position": 133}, {"identifier": "L14", "position": [3, 19], "step": 133, "ordinal_position": 134}, {"identifier": "V89", "position": [2, 19], "step": 134, "ordinal_position": 135}, {"identifier": "Q38", "position": [1, 19], "step": 135, "ordinal_position": 136}, {"identifier": "Y85", "position": [1, 18], "step": 136, "ordinal_position": 137}, {"identifier": "P82", "position": [1, 17], "step": 137, "ordinal_position": 138}, {"identifier": "P45", "position": [2, 17], "step": 138, "ordinal_position": 139}, {"identifier": "B33", "position": [3, 17], "step": 139, "ordinal_position": 140}, {"identifier": "D71", "position": [3, 16], "step": 140, "ordinal_position": 141}, {"identifier": "T43", "position": [3, 15], "step": 141, "ordinal_position": 142}, {"identifier": "B15", "position": [2, 15], "step": 142, "ordinal_position": 143}, {"identifier": "V88", "position": [1, 15], "step": 143, "ordinal_position": 144}, {"identifier": "M85", "position": [1, 14], "step": 144, "ordinal_position": 145}, {"identifier": "H76", "position": [1, 13], "step": 145, "ordinal_position": 146}, {"identifier": "G46", "position": [2, 13], "step": 146, "ordinal_position": 147}, {"identifier": "O92", "position": [3, 13], "step": 147, "ordinal_position": 148}, {"identifier": "T55", "position": [4, 13], "step": 148, "ordinal_position": 149}, {"identifier": "M41", "position": [5, 13], "step": 149, "ordinal_position": 150}, {"identifier": "K96", "position": [5, 14], "step": 150, "ordinal_position": 151}, {"identifier": "G95", "position": [5, 15], "step": 151, "ordinal_position": 152}, {"identifier": "O48", "position": [5, 16], "step": 152, "ordinal_position": 153}, {"identifier": "A00", "position": [5, 17], "step": 153, "ordinal_position": 154}, {"identifier": "Q74", "position": [5, 18], "step": 154, "ordinal_position": 155}, {"identifier": "K94", "position": [5, 19], "step": 155, "ordinal_position": 156}, {"identifier": "V93", "position": [4, 19], "step": 156, "ordinal_position": 157}, {"identifier": "L14", "position": [3, 19], "step": 157, "ordinal_position": 158}, {"identifier": "V89", "position": [2, 19], "step": 158, "ordinal_position": 159}, {"identifier": "Q38", "position": [1, 19], "step": 159, "ordinal_position": 160}, {"identifier": "Y85", "position": [1, 18], "step": 160, "ordinal_position": 161}, {"identifier": "P82", "position": [1, 17], "step": 161, "ordinal_position": 162}, {"identifier": "P45", "position": [2, 17], "step": 162, "ordinal_position": 163}, {"identifier": "B33", "position": [3, 17], "step": 163, "ordinal_position": 164}, {"identifier": "D71", "position": [3, 16], "step": 164, "ordinal_position": 165}, {"identifier": "T43", "position": [3, 15], "step": 165, "ordinal_position": 166}, {"identifier": "B15", "position": [2, 15], "step": 166, "ordinal_position": 167}, {"identifier": "V88", "position": [1, 15], "step": 167, "ordinal_position": 168}, {"identifier": "M85", "position": [1, 14], "step": 168, "ordinal_position": 169}, {"identifier": "H76", "position": [1, 13], "step": 169, "ordinal_position": 170}, {"identifier": "G46", "position": [2, 13], "step": 170, "ordinal_position": 171}, {"identifier": "O92", "position": [3, 13], "step": 171, "ordinal_position": 172}, {"identifier": "T55", "position": [4, 13], "step": 172, "ordinal_position": 173}, {"identifier": "M41", "position": [5, 13], "step": 173, "ordinal_position": 174}, {"identifier": "K96", "position": [5, 14], "step": 174, "ordinal_position": 175}, {"identifier": "G95", "position": [5, 15], "step": 175, "ordinal_position": 176}, {"identifier": "O48", "position": [5, 16], "step": 176, "ordinal_position": 177}, {"identifier": "A00", "position": [5, 17], "step": 177, "ordinal_position": 178}, {"identifier": "Q74", "position": [5, 18], "step": 178, "ordinal_position": 179}, {"identifier": "K94", "position": [5, 19], "step": 179, "ordinal_position": 180}, {"identifier": "V93", "position": [4, 19], "step": 180, "ordinal_position": 181}, {"identifier": "L14", "position": [3, 19], "step": 181, "ordinal_position": 182}, {"identifier": "V89", "position": [2, 19], "step": 182, "ordinal_position": 183}, {"identifier": "Q38", "position": [1, 19], "step": 183, "ordinal_position": 184}, {"identifier": "Y85", "position": [1, 18], "step": 184, "ordinal_position": 185}, {"identifier": "P82", "position": [1, 17], "step": 185, "ordinal_position": 186}, {"identifier": "P45", "position": [2, 17], "step": 186, "ordinal_position": 187}, {"identifier": "B33", "position": [3, 17], "step": 187, "ordinal_position": 188}, {"identifier": "D71", "position": [3, 16], "step": 188, "ordinal_position": 189}, {"identifier": "T43", "position": [3, 15], "step": 189, "ordinal_position": 190}, {"identifier": "B15", "position": [2, 15], "step": 190, "ordinal_position": 191}, {"identifier": "V88", "position": [1, 15], "step": 191, "ordinal_position": 192}, {"identifier": "M85", "position": [1, 14], "step": 192, "ordinal_position": 193}, {"identifier": "H76", "position": [1, 13], "step": 193, "ordinal_position": 194}, {"identifier": "G46", "position": [2, 13], "step": 194, "ordinal_position": 195}, {"identifier": "O92", "position": [3, 13], "step": 195, "ordinal_position": 196}, {"identifier": "T55", "position": [4, 13], "step": 196, "ordinal_position": 197}, {"identifier": "M41", "position": [5, 13], "step": 197, "ordinal_position": 198}, {"identifier": "K96", "position": [5, 14], "step": 198, "ordinal_position": 199}, {"identifier": "G95", "position": [5, 15], "step": 199, "ordinal_position": 200}, {"identifier": "O48", "position": [5, 16], "step": 200, "ordinal_position": 201}, {"identifier": "A00", "position": [5, 17], "step": 201, "ordinal_position": 202}, {"identifier": "Q74", "position": [5, 18], "step": 202, "ordinal_position": 203}, {"identifier": "K94", "position": [5, 19], "step": 203, "ordinal_position": 204}, {"identifier": "V93", "position": [4, 19], "step": 204, "ordinal_position": 205}, {"identifier": "L14", "position": [3, 19], "step": 205, "ordinal_position": 206}, {"identifier": "V89", "position": [2, 19], "step": 206, "ordinal_position": 207}, {"identifier": "Q38", "position": [1, 19], "step": 207, "ordinal_position": 208}, {"identifier": "Y85", "position": [1, 18], "step": 208, "ordinal_position": 209}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 209, "direction": "left", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_016.json"}} {"qa_id": "3ad610df81c148aaad161b06fee7bb17", "image_id": "L3-MazeLoop-test_21x21_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D97, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 267th position in this traversal?", "start_object_id": "D97", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [267], "ordinal_strings": ["267th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "N99", "traversal_path": [{"identifier": "D97", "position": [9, 15], "step": 0, "ordinal_position": 1}, {"identifier": "L59", "position": [8, 15], "step": 1, "ordinal_position": 2}, {"identifier": "J16", "position": [7, 15], "step": 2, "ordinal_position": 3}, {"identifier": "A69", "position": [7, 14], "step": 3, "ordinal_position": 4}, {"identifier": "I33", "position": [7, 13], "step": 4, "ordinal_position": 5}, {"identifier": "J65", "position": [8, 13], "step": 5, "ordinal_position": 6}, {"identifier": "W64", "position": [9, 13], "step": 6, "ordinal_position": 7}, {"identifier": "R86", "position": [10, 13], "step": 7, "ordinal_position": 8}, {"identifier": "S90", "position": [11, 13], "step": 8, "ordinal_position": 9}, {"identifier": "C24", "position": [12, 13], "step": 9, "ordinal_position": 10}, {"identifier": "I47", "position": [13, 13], "step": 10, "ordinal_position": 11}, {"identifier": "Y02", "position": [14, 13], "step": 11, "ordinal_position": 12}, {"identifier": "G83", "position": [15, 13], "step": 12, "ordinal_position": 13}, {"identifier": "K68", "position": [15, 14], "step": 13, "ordinal_position": 14}, {"identifier": "V44", "position": [15, 15], "step": 14, "ordinal_position": 15}, {"identifier": "R12", "position": [15, 16], "step": 15, "ordinal_position": 16}, {"identifier": "D42", "position": [15, 17], "step": 16, "ordinal_position": 17}, {"identifier": "W00", "position": [16, 17], "step": 17, "ordinal_position": 18}, {"identifier": "O30", "position": [17, 17], "step": 18, "ordinal_position": 19}, {"identifier": "V23", "position": [17, 18], "step": 19, "ordinal_position": 20}, {"identifier": "Y46", "position": [17, 19], "step": 20, "ordinal_position": 21}, {"identifier": "A87", "position": [18, 19], "step": 21, "ordinal_position": 22}, {"identifier": "S42", "position": [19, 19], "step": 22, "ordinal_position": 23}, {"identifier": "Y28", "position": [19, 18], "step": 23, "ordinal_position": 24}, {"identifier": "E45", "position": [19, 17], "step": 24, "ordinal_position": 25}, {"identifier": "D37", "position": [19, 16], "step": 25, "ordinal_position": 26}, {"identifier": "B78", "position": [19, 15], "step": 26, "ordinal_position": 27}, {"identifier": "W08", "position": [19, 14], "step": 27, "ordinal_position": 28}, {"identifier": "M57", "position": [19, 13], "step": 28, "ordinal_position": 29}, {"identifier": "P71", "position": [19, 12], "step": 29, "ordinal_position": 30}, {"identifier": "E37", "position": [19, 11], "step": 30, "ordinal_position": 31}, {"identifier": "A89", "position": [19, 10], "step": 31, "ordinal_position": 32}, {"identifier": "F02", "position": [19, 9], "step": 32, "ordinal_position": 33}, {"identifier": "Q56", "position": [19, 8], "step": 33, "ordinal_position": 34}, {"identifier": "Y31", "position": [19, 7], "step": 34, "ordinal_position": 35}, {"identifier": "V82", "position": [19, 6], "step": 35, "ordinal_position": 36}, {"identifier": "B61", "position": [19, 5], "step": 36, "ordinal_position": 37}, {"identifier": "X77", "position": [19, 4], "step": 37, "ordinal_position": 38}, {"identifier": "S60", "position": [19, 3], "step": 38, "ordinal_position": 39}, {"identifier": "G03", "position": [19, 2], "step": 39, "ordinal_position": 40}, {"identifier": "C27", "position": [19, 1], "step": 40, "ordinal_position": 41}, {"identifier": "L58", "position": [18, 1], "step": 41, "ordinal_position": 42}, {"identifier": "N99", "position": [17, 1], "step": 42, "ordinal_position": 43}, {"identifier": "I95", "position": [17, 2], "step": 43, "ordinal_position": 44}, {"identifier": "P30", "position": [17, 3], "step": 44, "ordinal_position": 45}, {"identifier": "V04", "position": [17, 4], "step": 45, "ordinal_position": 46}, {"identifier": "E80", "position": [17, 5], "step": 46, "ordinal_position": 47}, {"identifier": "S32", "position": [17, 6], "step": 47, "ordinal_position": 48}, {"identifier": "M99", "position": [17, 7], "step": 48, "ordinal_position": 49}, {"identifier": "O11", "position": [17, 8], "step": 49, "ordinal_position": 50}, {"identifier": "Y37", "position": [17, 9], "step": 50, "ordinal_position": 51}, {"identifier": "C30", "position": [16, 9], "step": 51, "ordinal_position": 52}, {"identifier": "J41", "position": [15, 9], "step": 52, "ordinal_position": 53}, {"identifier": "J13", "position": [14, 9], "step": 53, "ordinal_position": 54}, {"identifier": "K60", "position": [13, 9], "step": 54, "ordinal_position": 55}, {"identifier": "Y05", "position": [13, 8], "step": 55, "ordinal_position": 56}, {"identifier": "F59", "position": [13, 7], "step": 56, "ordinal_position": 57}, {"identifier": "I79", "position": [12, 7], "step": 57, "ordinal_position": 58}, {"identifier": "H92", "position": [11, 7], "step": 58, "ordinal_position": 59}, {"identifier": "M05", "position": [11, 8], "step": 59, "ordinal_position": 60}, {"identifier": "X23", "position": [11, 9], "step": 60, "ordinal_position": 61}, {"identifier": "L01", "position": [11, 10], "step": 61, "ordinal_position": 62}, {"identifier": "Y98", "position": [11, 11], "step": 62, "ordinal_position": 63}, {"identifier": "I10", "position": [12, 11], "step": 63, "ordinal_position": 64}, {"identifier": "Z60", "position": [13, 11], "step": 64, "ordinal_position": 65}, {"identifier": "F08", "position": [13, 12], "step": 65, "ordinal_position": 66}, {"identifier": "I47", "position": [13, 13], "step": 66, "ordinal_position": 67}, {"identifier": "Y02", "position": [14, 13], "step": 67, "ordinal_position": 68}, {"identifier": "G83", "position": [15, 13], "step": 68, "ordinal_position": 69}, {"identifier": "K68", "position": [15, 14], "step": 69, "ordinal_position": 70}, {"identifier": "V44", "position": [15, 15], "step": 70, "ordinal_position": 71}, {"identifier": "R12", "position": [15, 16], "step": 71, "ordinal_position": 72}, {"identifier": "D42", "position": [15, 17], "step": 72, "ordinal_position": 73}, {"identifier": "W00", "position": [16, 17], "step": 73, "ordinal_position": 74}, {"identifier": "O30", "position": [17, 17], "step": 74, "ordinal_position": 75}, {"identifier": "V23", "position": [17, 18], "step": 75, "ordinal_position": 76}, {"identifier": "Y46", "position": [17, 19], "step": 76, "ordinal_position": 77}, {"identifier": "A87", "position": [18, 19], "step": 77, "ordinal_position": 78}, {"identifier": "S42", "position": [19, 19], "step": 78, "ordinal_position": 79}, {"identifier": "Y28", "position": [19, 18], "step": 79, "ordinal_position": 80}, {"identifier": "E45", "position": [19, 17], "step": 80, "ordinal_position": 81}, {"identifier": "D37", "position": [19, 16], "step": 81, "ordinal_position": 82}, {"identifier": "B78", "position": [19, 15], "step": 82, "ordinal_position": 83}, {"identifier": "W08", "position": [19, 14], "step": 83, "ordinal_position": 84}, {"identifier": "M57", "position": [19, 13], "step": 84, "ordinal_position": 85}, {"identifier": "P71", "position": [19, 12], "step": 85, "ordinal_position": 86}, {"identifier": "E37", "position": [19, 11], "step": 86, "ordinal_position": 87}, {"identifier": "A89", "position": [19, 10], "step": 87, "ordinal_position": 88}, {"identifier": "F02", "position": [19, 9], "step": 88, "ordinal_position": 89}, {"identifier": "Q56", "position": [19, 8], "step": 89, "ordinal_position": 90}, {"identifier": "Y31", "position": [19, 7], "step": 90, "ordinal_position": 91}, {"identifier": "V82", "position": [19, 6], "step": 91, "ordinal_position": 92}, {"identifier": "B61", "position": [19, 5], "step": 92, "ordinal_position": 93}, {"identifier": "X77", "position": [19, 4], "step": 93, "ordinal_position": 94}, {"identifier": "S60", "position": [19, 3], "step": 94, "ordinal_position": 95}, {"identifier": "G03", "position": [19, 2], "step": 95, "ordinal_position": 96}, {"identifier": "C27", "position": [19, 1], "step": 96, "ordinal_position": 97}, {"identifier": "L58", "position": [18, 1], "step": 97, "ordinal_position": 98}, {"identifier": "N99", "position": [17, 1], "step": 98, "ordinal_position": 99}, {"identifier": "I95", "position": [17, 2], "step": 99, "ordinal_position": 100}, {"identifier": "P30", "position": [17, 3], "step": 100, "ordinal_position": 101}, {"identifier": "V04", "position": [17, 4], "step": 101, "ordinal_position": 102}, {"identifier": "E80", "position": [17, 5], "step": 102, "ordinal_position": 103}, {"identifier": "S32", "position": [17, 6], "step": 103, "ordinal_position": 104}, {"identifier": "M99", "position": [17, 7], "step": 104, "ordinal_position": 105}, {"identifier": "O11", "position": [17, 8], "step": 105, "ordinal_position": 106}, {"identifier": "Y37", "position": [17, 9], "step": 106, "ordinal_position": 107}, {"identifier": "C30", "position": [16, 9], "step": 107, "ordinal_position": 108}, {"identifier": "J41", "position": [15, 9], "step": 108, "ordinal_position": 109}, {"identifier": "J13", "position": [14, 9], "step": 109, "ordinal_position": 110}, {"identifier": "K60", "position": [13, 9], "step": 110, "ordinal_position": 111}, {"identifier": "Y05", "position": [13, 8], "step": 111, "ordinal_position": 112}, {"identifier": "F59", "position": [13, 7], "step": 112, "ordinal_position": 113}, {"identifier": "I79", "position": [12, 7], "step": 113, "ordinal_position": 114}, {"identifier": "H92", "position": [11, 7], "step": 114, "ordinal_position": 115}, {"identifier": "M05", "position": [11, 8], "step": 115, "ordinal_position": 116}, {"identifier": "X23", "position": [11, 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"step": 128, "ordinal_position": 129}, {"identifier": "W00", "position": [16, 17], "step": 129, "ordinal_position": 130}, {"identifier": "O30", "position": [17, 17], "step": 130, "ordinal_position": 131}, {"identifier": "V23", "position": [17, 18], "step": 131, "ordinal_position": 132}, {"identifier": "Y46", "position": [17, 19], "step": 132, "ordinal_position": 133}, {"identifier": "A87", "position": [18, 19], "step": 133, "ordinal_position": 134}, {"identifier": "S42", "position": [19, 19], "step": 134, "ordinal_position": 135}, {"identifier": "Y28", "position": [19, 18], "step": 135, "ordinal_position": 136}, {"identifier": "E45", "position": [19, 17], "step": 136, "ordinal_position": 137}, {"identifier": "D37", "position": [19, 16], "step": 137, "ordinal_position": 138}, {"identifier": "B78", "position": [19, 15], "step": 138, "ordinal_position": 139}, {"identifier": "W08", "position": [19, 14], "step": 139, "ordinal_position": 140}, {"identifier": "M57", "position": [19, 13], "step": 140, "ordinal_position": 141}, {"identifier": "P71", "position": [19, 12], "step": 141, "ordinal_position": 142}, {"identifier": "E37", "position": [19, 11], "step": 142, "ordinal_position": 143}, {"identifier": "A89", "position": [19, 10], "step": 143, "ordinal_position": 144}, {"identifier": "F02", "position": [19, 9], "step": 144, "ordinal_position": 145}, {"identifier": "Q56", "position": [19, 8], "step": 145, "ordinal_position": 146}, {"identifier": "Y31", "position": [19, 7], "step": 146, "ordinal_position": 147}, {"identifier": "V82", "position": [19, 6], "step": 147, "ordinal_position": 148}, {"identifier": "B61", "position": [19, 5], "step": 148, "ordinal_position": 149}, {"identifier": "X77", "position": [19, 4], "step": 149, "ordinal_position": 150}, {"identifier": "S60", "position": [19, 3], "step": 150, "ordinal_position": 151}, {"identifier": "G03", "position": [19, 2], "step": 151, "ordinal_position": 152}, {"identifier": "C27", "position": [19, 1], "step": 152, "ordinal_position": 153}, {"identifier": "L58", "position": [18, 1], "step": 153, "ordinal_position": 154}, {"identifier": "N99", "position": [17, 1], "step": 154, "ordinal_position": 155}, {"identifier": "I95", "position": [17, 2], "step": 155, "ordinal_position": 156}, {"identifier": "P30", "position": [17, 3], "step": 156, "ordinal_position": 157}, {"identifier": "V04", "position": [17, 4], "step": 157, "ordinal_position": 158}, {"identifier": "E80", "position": [17, 5], "step": 158, "ordinal_position": 159}, {"identifier": "S32", "position": [17, 6], "step": 159, "ordinal_position": 160}, {"identifier": "M99", "position": [17, 7], "step": 160, "ordinal_position": 161}, {"identifier": "O11", "position": [17, 8], "step": 161, "ordinal_position": 162}, {"identifier": "Y37", "position": [17, 9], "step": 162, "ordinal_position": 163}, {"identifier": "C30", "position": [16, 9], "step": 163, "ordinal_position": 164}, {"identifier": "J41", "position": [15, 9], "step": 164, "ordinal_position": 165}, {"identifier": "J13", "position": [14, 9], "step": 165, "ordinal_position": 166}, {"identifier": "K60", "position": [13, 9], "step": 166, "ordinal_position": 167}, {"identifier": "Y05", "position": [13, 8], "step": 167, "ordinal_position": 168}, {"identifier": "F59", "position": [13, 7], "step": 168, "ordinal_position": 169}, {"identifier": "I79", "position": [12, 7], "step": 169, "ordinal_position": 170}, {"identifier": "H92", "position": [11, 7], "step": 170, "ordinal_position": 171}, {"identifier": "M05", "position": [11, 8], "step": 171, "ordinal_position": 172}, {"identifier": "X23", "position": [11, 9], "step": 172, "ordinal_position": 173}, {"identifier": "L01", "position": [11, 10], "step": 173, "ordinal_position": 174}, {"identifier": "Y98", "position": [11, 11], "step": 174, "ordinal_position": 175}, {"identifier": "I10", "position": [12, 11], "step": 175, "ordinal_position": 176}, {"identifier": "Z60", "position": [13, 11], "step": 176, "ordinal_position": 177}, {"identifier": "F08", "position": [13, 12], "step": 177, "ordinal_position": 178}, {"identifier": "I47", "position": [13, 13], "step": 178, "ordinal_position": 179}, {"identifier": "Y02", "position": [14, 13], "step": 179, "ordinal_position": 180}, {"identifier": "G83", "position": [15, 13], "step": 180, "ordinal_position": 181}, {"identifier": "K68", "position": [15, 14], "step": 181, "ordinal_position": 182}, {"identifier": "V44", "position": [15, 15], "step": 182, "ordinal_position": 183}, {"identifier": "R12", "position": [15, 16], "step": 183, "ordinal_position": 184}, {"identifier": "D42", "position": [15, 17], "step": 184, "ordinal_position": 185}, {"identifier": "W00", "position": [16, 17], "step": 185, "ordinal_position": 186}, {"identifier": "O30", "position": [17, 17], "step": 186, "ordinal_position": 187}, {"identifier": "V23", "position": [17, 18], "step": 187, "ordinal_position": 188}, {"identifier": "Y46", "position": [17, 19], "step": 188, "ordinal_position": 189}, {"identifier": "A87", "position": [18, 19], "step": 189, "ordinal_position": 190}, {"identifier": "S42", "position": [19, 19], "step": 190, "ordinal_position": 191}, {"identifier": "Y28", "position": [19, 18], "step": 191, "ordinal_position": 192}, {"identifier": "E45", "position": [19, 17], "step": 192, "ordinal_position": 193}, {"identifier": "D37", "position": [19, 16], "step": 193, "ordinal_position": 194}, {"identifier": "B78", "position": [19, 15], "step": 194, "ordinal_position": 195}, {"identifier": "W08", "position": [19, 14], "step": 195, "ordinal_position": 196}, {"identifier": "M57", "position": [19, 13], "step": 196, "ordinal_position": 197}, {"identifier": "P71", "position": [19, 12], "step": 197, "ordinal_position": 198}, {"identifier": "E37", "position": [19, 11], "step": 198, "ordinal_position": 199}, {"identifier": "A89", "position": [19, 10], "step": 199, "ordinal_position": 200}, {"identifier": "F02", "position": [19, 9], "step": 200, "ordinal_position": 201}, {"identifier": "Q56", "position": [19, 8], "step": 201, "ordinal_position": 202}, {"identifier": "Y31", "position": [19, 7], "step": 202, "ordinal_position": 203}, {"identifier": "V82", "position": [19, 6], "step": 203, "ordinal_position": 204}, {"identifier": "B61", "position": [19, 5], "step": 204, "ordinal_position": 205}, {"identifier": "X77", "position": [19, 4], "step": 205, "ordinal_position": 206}, {"identifier": "S60", "position": [19, 3], "step": 206, "ordinal_position": 207}, {"identifier": "G03", "position": [19, 2], "step": 207, "ordinal_position": 208}, {"identifier": "C27", "position": [19, 1], "step": 208, "ordinal_position": 209}, {"identifier": "L58", "position": [18, 1], "step": 209, "ordinal_position": 210}, {"identifier": "N99", "position": [17, 1], "step": 210, "ordinal_position": 211}, {"identifier": "I95", "position": [17, 2], "step": 211, "ordinal_position": 212}, {"identifier": "P30", "position": [17, 3], "step": 212, "ordinal_position": 213}, {"identifier": "V04", "position": [17, 4], "step": 213, "ordinal_position": 214}, {"identifier": "E80", "position": [17, 5], "step": 214, "ordinal_position": 215}, {"identifier": "S32", "position": [17, 6], "step": 215, "ordinal_position": 216}, {"identifier": "M99", "position": [17, 7], "step": 216, "ordinal_position": 217}, {"identifier": "O11", "position": [17, 8], "step": 217, "ordinal_position": 218}, {"identifier": "Y37", "position": [17, 9], "step": 218, "ordinal_position": 219}, {"identifier": "C30", "position": [16, 9], "step": 219, "ordinal_position": 220}, {"identifier": "J41", "position": [15, 9], "step": 220, "ordinal_position": 221}, {"identifier": "J13", "position": [14, 9], "step": 221, "ordinal_position": 222}, {"identifier": "K60", "position": [13, 9], "step": 222, "ordinal_position": 223}, {"identifier": "Y05", "position": [13, 8], "step": 223, "ordinal_position": 224}, {"identifier": "F59", "position": [13, 7], "step": 224, "ordinal_position": 225}, {"identifier": "I79", "position": [12, 7], "step": 225, "ordinal_position": 226}, {"identifier": "H92", "position": [11, 7], "step": 226, "ordinal_position": 227}, {"identifier": "M05", "position": [11, 8], "step": 227, "ordinal_position": 228}, {"identifier": "X23", "position": [11, 9], "step": 228, "ordinal_position": 229}, {"identifier": "L01", "position": [11, 10], "step": 229, "ordinal_position": 230}, {"identifier": "Y98", "position": [11, 11], "step": 230, "ordinal_position": 231}, {"identifier": "I10", "position": [12, 11], "step": 231, "ordinal_position": 232}, {"identifier": "Z60", "position": [13, 11], "step": 232, "ordinal_position": 233}, {"identifier": "F08", "position": [13, 12], "step": 233, "ordinal_position": 234}, {"identifier": "I47", "position": [13, 13], "step": 234, "ordinal_position": 235}, {"identifier": "Y02", "position": [14, 13], "step": 235, "ordinal_position": 236}, {"identifier": "G83", "position": [15, 13], "step": 236, "ordinal_position": 237}, {"identifier": "K68", "position": [15, 14], "step": 237, "ordinal_position": 238}, {"identifier": "V44", "position": [15, 15], "step": 238, "ordinal_position": 239}, {"identifier": "R12", "position": [15, 16], "step": 239, "ordinal_position": 240}, {"identifier": "D42", "position": [15, 17], "step": 240, "ordinal_position": 241}, {"identifier": "W00", "position": [16, 17], "step": 241, "ordinal_position": 242}, {"identifier": "O30", "position": [17, 17], "step": 242, "ordinal_position": 243}, {"identifier": "V23", "position": [17, 18], "step": 243, "ordinal_position": 244}, {"identifier": "Y46", "position": [17, 19], "step": 244, "ordinal_position": 245}, {"identifier": "A87", "position": [18, 19], "step": 245, "ordinal_position": 246}, {"identifier": "S42", "position": [19, 19], "step": 246, "ordinal_position": 247}, {"identifier": "Y28", "position": [19, 18], "step": 247, "ordinal_position": 248}, {"identifier": "E45", "position": [19, 17], "step": 248, "ordinal_position": 249}, {"identifier": "D37", "position": [19, 16], "step": 249, "ordinal_position": 250}, {"identifier": "B78", "position": [19, 15], "step": 250, "ordinal_position": 251}, {"identifier": "W08", "position": [19, 14], "step": 251, "ordinal_position": 252}, {"identifier": "M57", "position": [19, 13], "step": 252, "ordinal_position": 253}, {"identifier": "P71", "position": [19, 12], "step": 253, "ordinal_position": 254}, {"identifier": "E37", "position": [19, 11], "step": 254, "ordinal_position": 255}, {"identifier": "A89", "position": [19, 10], "step": 255, "ordinal_position": 256}, {"identifier": "F02", "position": [19, 9], "step": 256, "ordinal_position": 257}, {"identifier": "Q56", "position": [19, 8], "step": 257, "ordinal_position": 258}, {"identifier": "Y31", "position": [19, 7], "step": 258, "ordinal_position": 259}, {"identifier": "V82", "position": [19, 6], "step": 259, "ordinal_position": 260}, {"identifier": "B61", "position": [19, 5], "step": 260, "ordinal_position": 261}, {"identifier": "X77", "position": [19, 4], "step": 261, "ordinal_position": 262}, {"identifier": "S60", "position": [19, 3], "step": 262, "ordinal_position": 263}, {"identifier": "G03", "position": [19, 2], "step": 263, "ordinal_position": 264}, {"identifier": "C27", "position": [19, 1], "step": 264, "ordinal_position": 265}, {"identifier": "L58", "position": [18, 1], "step": 265, "ordinal_position": 266}, {"identifier": "N99", "position": [17, 1], "step": 266, "ordinal_position": 267}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 267, "direction": "left", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_016.json"}} {"qa_id": "3b6f33e9c70d401c834be5139ea2bb89", "image_id": "L3-MazeLoop-test_21x21_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T55, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 285th position in this traversal?", "start_object_id": "T55", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [285], "ordinal_strings": ["285th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M85", "traversal_path": [{"identifier": "T55", "position": [4, 13], "step": 0, "ordinal_position": 1}, {"identifier": "M41", "position": [5, 13], "step": 1, "ordinal_position": 2}, {"identifier": "K96", "position": [5, 14], "step": 2, "ordinal_position": 3}, {"identifier": "G95", "position": [5, 15], "step": 3, "ordinal_position": 4}, {"identifier": "O48", "position": [5, 16], "step": 4, "ordinal_position": 5}, {"identifier": "A00", "position": [5, 17], "step": 5, "ordinal_position": 6}, {"identifier": "Q74", "position": [5, 18], "step": 6, "ordinal_position": 7}, {"identifier": "K94", "position": [5, 19], "step": 7, "ordinal_position": 8}, {"identifier": "V93", "position": [4, 19], "step": 8, "ordinal_position": 9}, {"identifier": "L14", "position": [3, 19], "step": 9, "ordinal_position": 10}, {"identifier": "V89", "position": [2, 19], "step": 10, "ordinal_position": 11}, {"identifier": "Q38", "position": [1, 19], "step": 11, "ordinal_position": 12}, {"identifier": "Y85", "position": [1, 18], "step": 12, "ordinal_position": 13}, {"identifier": "P82", "position": [1, 17], "step": 13, "ordinal_position": 14}, {"identifier": "P45", "position": [2, 17], "step": 14, "ordinal_position": 15}, {"identifier": "B33", "position": [3, 17], "step": 15, "ordinal_position": 16}, {"identifier": "D71", "position": [3, 16], "step": 16, "ordinal_position": 17}, {"identifier": "T43", "position": [3, 15], "step": 17, "ordinal_position": 18}, {"identifier": "B15", "position": [2, 15], "step": 18, "ordinal_position": 19}, {"identifier": "V88", "position": [1, 15], "step": 19, "ordinal_position": 20}, {"identifier": "M85", "position": [1, 14], "step": 20, "ordinal_position": 21}, {"identifier": "H76", "position": [1, 13], "step": 21, "ordinal_position": 22}, {"identifier": "G46", "position": [2, 13], "step": 22, "ordinal_position": 23}, {"identifier": "O92", "position": [3, 13], "step": 23, "ordinal_position": 24}, {"identifier": "T55", "position": [4, 13], "step": 24, "ordinal_position": 25}, {"identifier": "M41", "position": [5, 13], "step": 25, "ordinal_position": 26}, {"identifier": "K96", "position": [5, 14], "step": 26, "ordinal_position": 27}, {"identifier": "G95", "position": [5, 15], "step": 27, "ordinal_position": 28}, {"identifier": "O48", "position": [5, 16], "step": 28, "ordinal_position": 29}, {"identifier": "A00", "position": [5, 17], "step": 29, "ordinal_position": 30}, {"identifier": "Q74", "position": [5, 18], "step": 30, "ordinal_position": 31}, {"identifier": "K94", "position": [5, 19], "step": 31, "ordinal_position": 32}, {"identifier": "V93", "position": [4, 19], "step": 32, "ordinal_position": 33}, {"identifier": "L14", "position": [3, 19], "step": 33, "ordinal_position": 34}, {"identifier": "V89", "position": [2, 19], "step": 34, "ordinal_position": 35}, {"identifier": "Q38", "position": [1, 19], "step": 35, "ordinal_position": 36}, {"identifier": "Y85", "position": [1, 18], "step": 36, "ordinal_position": 37}, {"identifier": "P82", "position": [1, 17], "step": 37, "ordinal_position": 38}, {"identifier": "P45", "position": [2, 17], "step": 38, "ordinal_position": 39}, {"identifier": "B33", "position": [3, 17], "step": 39, "ordinal_position": 40}, {"identifier": "D71", "position": [3, 16], "step": 40, "ordinal_position": 41}, {"identifier": "T43", "position": [3, 15], "step": 41, "ordinal_position": 42}, {"identifier": "B15", "position": [2, 15], "step": 42, "ordinal_position": 43}, {"identifier": "V88", "position": [1, 15], "step": 43, "ordinal_position": 44}, {"identifier": "M85", "position": [1, 14], "step": 44, "ordinal_position": 45}, {"identifier": "H76", "position": [1, 13], "step": 45, "ordinal_position": 46}, {"identifier": "G46", "position": [2, 13], "step": 46, "ordinal_position": 47}, {"identifier": "O92", "position": [3, 13], "step": 47, "ordinal_position": 48}, {"identifier": "T55", "position": [4, 13], "step": 48, "ordinal_position": 49}, {"identifier": "M41", "position": [5, 13], "step": 49, "ordinal_position": 50}, {"identifier": "K96", "position": [5, 14], "step": 50, "ordinal_position": 51}, {"identifier": "G95", "position": [5, 15], "step": 51, "ordinal_position": 52}, {"identifier": "O48", "position": [5, 16], "step": 52, "ordinal_position": 53}, {"identifier": "A00", "position": [5, 17], "step": 53, "ordinal_position": 54}, {"identifier": "Q74", "position": [5, 18], "step": 54, "ordinal_position": 55}, {"identifier": "K94", "position": [5, 19], "step": 55, "ordinal_position": 56}, {"identifier": "V93", "position": [4, 19], "step": 56, "ordinal_position": 57}, {"identifier": "L14", "position": [3, 19], "step": 57, "ordinal_position": 58}, {"identifier": "V89", "position": [2, 19], "step": 58, "ordinal_position": 59}, {"identifier": "Q38", "position": [1, 19], "step": 59, "ordinal_position": 60}, {"identifier": "Y85", "position": [1, 18], "step": 60, "ordinal_position": 61}, {"identifier": "P82", "position": [1, 17], "step": 61, "ordinal_position": 62}, {"identifier": "P45", "position": [2, 17], "step": 62, "ordinal_position": 63}, {"identifier": "B33", "position": [3, 17], "step": 63, "ordinal_position": 64}, {"identifier": "D71", "position": [3, 16], "step": 64, "ordinal_position": 65}, {"identifier": "T43", "position": [3, 15], "step": 65, "ordinal_position": 66}, {"identifier": "B15", "position": [2, 15], "step": 66, "ordinal_position": 67}, {"identifier": "V88", "position": [1, 15], "step": 67, "ordinal_position": 68}, {"identifier": "M85", "position": [1, 14], "step": 68, "ordinal_position": 69}, {"identifier": "H76", "position": [1, 13], "step": 69, "ordinal_position": 70}, {"identifier": "G46", "position": [2, 13], "step": 70, "ordinal_position": 71}, {"identifier": "O92", "position": [3, 13], "step": 71, "ordinal_position": 72}, {"identifier": "T55", "position": [4, 13], "step": 72, "ordinal_position": 73}, {"identifier": "M41", "position": [5, 13], "step": 73, "ordinal_position": 74}, {"identifier": "K96", "position": [5, 14], "step": 74, "ordinal_position": 75}, {"identifier": "G95", "position": [5, 15], "step": 75, "ordinal_position": 76}, {"identifier": "O48", "position": [5, 16], "step": 76, "ordinal_position": 77}, {"identifier": "A00", "position": [5, 17], "step": 77, "ordinal_position": 78}, {"identifier": "Q74", "position": [5, 18], "step": 78, "ordinal_position": 79}, {"identifier": "K94", "position": [5, 19], "step": 79, "ordinal_position": 80}, {"identifier": "V93", "position": [4, 19], "step": 80, "ordinal_position": 81}, {"identifier": "L14", "position": [3, 19], "step": 81, "ordinal_position": 82}, {"identifier": "V89", "position": [2, 19], "step": 82, "ordinal_position": 83}, {"identifier": "Q38", "position": [1, 19], "step": 83, "ordinal_position": 84}, {"identifier": "Y85", "position": [1, 18], "step": 84, "ordinal_position": 85}, {"identifier": "P82", "position": [1, 17], "step": 85, "ordinal_position": 86}, {"identifier": "P45", "position": [2, 17], "step": 86, "ordinal_position": 87}, {"identifier": "B33", "position": [3, 17], "step": 87, "ordinal_position": 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"ordinal_position": 233}, {"identifier": "T43", "position": [3, 15], "step": 233, "ordinal_position": 234}, {"identifier": "B15", "position": [2, 15], "step": 234, "ordinal_position": 235}, {"identifier": "V88", "position": [1, 15], "step": 235, "ordinal_position": 236}, {"identifier": "M85", "position": [1, 14], "step": 236, "ordinal_position": 237}, {"identifier": "H76", "position": [1, 13], "step": 237, "ordinal_position": 238}, {"identifier": "G46", "position": [2, 13], "step": 238, "ordinal_position": 239}, {"identifier": "O92", "position": [3, 13], "step": 239, "ordinal_position": 240}, {"identifier": "T55", "position": [4, 13], "step": 240, "ordinal_position": 241}, {"identifier": "M41", "position": [5, 13], "step": 241, "ordinal_position": 242}, {"identifier": "K96", "position": [5, 14], "step": 242, "ordinal_position": 243}, {"identifier": "G95", "position": [5, 15], "step": 243, "ordinal_position": 244}, {"identifier": "O48", "position": [5, 16], "step": 244, "ordinal_position": 245}, {"identifier": "A00", "position": [5, 17], "step": 245, "ordinal_position": 246}, {"identifier": "Q74", "position": [5, 18], "step": 246, "ordinal_position": 247}, {"identifier": "K94", "position": [5, 19], "step": 247, "ordinal_position": 248}, {"identifier": "V93", "position": [4, 19], "step": 248, "ordinal_position": 249}, {"identifier": "L14", "position": [3, 19], "step": 249, "ordinal_position": 250}, {"identifier": "V89", "position": [2, 19], "step": 250, "ordinal_position": 251}, {"identifier": "Q38", "position": [1, 19], "step": 251, "ordinal_position": 252}, {"identifier": "Y85", "position": [1, 18], "step": 252, "ordinal_position": 253}, {"identifier": "P82", "position": [1, 17], "step": 253, "ordinal_position": 254}, {"identifier": "P45", "position": [2, 17], "step": 254, "ordinal_position": 255}, {"identifier": "B33", "position": [3, 17], "step": 255, "ordinal_position": 256}, {"identifier": "D71", "position": [3, 16], "step": 256, "ordinal_position": 257}, {"identifier": "T43", "position": [3, 15], "step": 257, "ordinal_position": 258}, {"identifier": "B15", "position": [2, 15], "step": 258, "ordinal_position": 259}, {"identifier": "V88", "position": [1, 15], "step": 259, "ordinal_position": 260}, {"identifier": "M85", "position": [1, 14], "step": 260, "ordinal_position": 261}, {"identifier": "H76", "position": [1, 13], "step": 261, "ordinal_position": 262}, {"identifier": "G46", "position": [2, 13], "step": 262, "ordinal_position": 263}, {"identifier": "O92", "position": [3, 13], "step": 263, "ordinal_position": 264}, {"identifier": "T55", "position": [4, 13], "step": 264, "ordinal_position": 265}, {"identifier": "M41", "position": [5, 13], "step": 265, "ordinal_position": 266}, {"identifier": "K96", "position": [5, 14], "step": 266, "ordinal_position": 267}, {"identifier": "G95", "position": [5, 15], "step": 267, "ordinal_position": 268}, {"identifier": "O48", "position": [5, 16], "step": 268, "ordinal_position": 269}, {"identifier": "A00", "position": [5, 17], "step": 269, "ordinal_position": 270}, {"identifier": "Q74", "position": [5, 18], "step": 270, "ordinal_position": 271}, {"identifier": "K94", "position": [5, 19], "step": 271, "ordinal_position": 272}, {"identifier": "V93", "position": [4, 19], "step": 272, "ordinal_position": 273}, {"identifier": "L14", "position": [3, 19], "step": 273, "ordinal_position": 274}, {"identifier": "V89", "position": [2, 19], "step": 274, "ordinal_position": 275}, {"identifier": "Q38", "position": [1, 19], "step": 275, "ordinal_position": 276}, {"identifier": "Y85", "position": [1, 18], "step": 276, "ordinal_position": 277}, {"identifier": "P82", "position": [1, 17], "step": 277, "ordinal_position": 278}, {"identifier": "P45", "position": [2, 17], "step": 278, "ordinal_position": 279}, {"identifier": "B33", "position": [3, 17], "step": 279, "ordinal_position": 280}, {"identifier": "D71", "position": [3, 16], "step": 280, "ordinal_position": 281}, {"identifier": "T43", "position": [3, 15], "step": 281, "ordinal_position": 282}, {"identifier": "B15", "position": [2, 15], "step": 282, "ordinal_position": 283}, {"identifier": "V88", "position": [1, 15], "step": 283, "ordinal_position": 284}, {"identifier": "M85", "position": [1, 14], "step": 284, "ordinal_position": 285}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 285, "direction": "right", "turn_preference": "right", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_016.json"}} {"qa_id": "a557e48c28eb43c2984024f57c3a05af", "image_id": "L3-MazeLoop-test_21x21_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C36, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 140th position in this traversal?", "start_object_id": "C36", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [140], "ordinal_strings": ["140th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "W00", "traversal_path": [{"identifier": "C36", "position": [17, 13], "step": 0, "ordinal_position": 1}, {"identifier": "A04", "position": [17, 12], "step": 1, "ordinal_position": 2}, {"identifier": "I40", "position": [17, 11], "step": 2, "ordinal_position": 3}, {"identifier": "D27", "position": [16, 11], "step": 3, "ordinal_position": 4}, {"identifier": "E88", "position": [15, 11], "step": 4, "ordinal_position": 5}, {"identifier": "Q45", "position": [15, 10], "step": 5, "ordinal_position": 6}, {"identifier": "J41", "position": [15, 9], "step": 6, "ordinal_position": 7}, {"identifier": "J13", "position": [14, 9], "step": 7, "ordinal_position": 8}, {"identifier": "K60", "position": [13, 9], "step": 8, "ordinal_position": 9}, {"identifier": "Y05", "position": [13, 8], "step": 9, "ordinal_position": 10}, {"identifier": "F59", "position": [13, 7], "step": 10, "ordinal_position": 11}, {"identifier": "I79", "position": [12, 7], "step": 11, "ordinal_position": 12}, {"identifier": "H92", "position": [11, 7], "step": 12, "ordinal_position": 13}, {"identifier": "M05", "position": [11, 8], "step": 13, "ordinal_position": 14}, {"identifier": "X23", "position": [11, 9], "step": 14, "ordinal_position": 15}, {"identifier": "L01", "position": [11, 10], "step": 15, "ordinal_position": 16}, {"identifier": "Y98", "position": [11, 11], "step": 16, "ordinal_position": 17}, {"identifier": "I10", "position": [12, 11], "step": 17, "ordinal_position": 18}, {"identifier": "Z60", "position": [13, 11], "step": 18, "ordinal_position": 19}, {"identifier": "F08", "position": [13, 12], "step": 19, "ordinal_position": 20}, {"identifier": "I47", "position": [13, 13], "step": 20, "ordinal_position": 21}, {"identifier": "Y02", "position": [14, 13], "step": 21, "ordinal_position": 22}, {"identifier": "G83", "position": [15, 13], "step": 22, "ordinal_position": 23}, {"identifier": "K68", "position": [15, 14], "step": 23, "ordinal_position": 24}, {"identifier": "V44", "position": [15, 15], "step": 24, "ordinal_position": 25}, {"identifier": "R12", "position": [15, 16], "step": 25, "ordinal_position": 26}, {"identifier": "D42", "position": [15, 17], "step": 26, "ordinal_position": 27}, {"identifier": "W00", "position": [16, 17], "step": 27, "ordinal_position": 28}, {"identifier": "O30", "position": [17, 17], "step": 28, "ordinal_position": 29}, {"identifier": "V23", "position": [17, 18], "step": 29, "ordinal_position": 30}, {"identifier": "Y46", "position": [17, 19], "step": 30, "ordinal_position": 31}, {"identifier": "A87", "position": [18, 19], "step": 31, "ordinal_position": 32}, {"identifier": "S42", "position": [19, 19], "step": 32, "ordinal_position": 33}, {"identifier": "Y28", "position": [19, 18], "step": 33, "ordinal_position": 34}, {"identifier": "E45", "position": [19, 17], "step": 34, "ordinal_position": 35}, {"identifier": "D37", "position": [19, 16], "step": 35, "ordinal_position": 36}, {"identifier": "B78", "position": [19, 15], "step": 36, "ordinal_position": 37}, {"identifier": "W08", "position": [19, 14], "step": 37, "ordinal_position": 38}, {"identifier": "M57", "position": [19, 13], "step": 38, "ordinal_position": 39}, {"identifier": "P71", "position": [19, 12], "step": 39, "ordinal_position": 40}, {"identifier": "E37", "position": [19, 11], "step": 40, "ordinal_position": 41}, {"identifier": "A89", "position": [19, 10], "step": 41, "ordinal_position": 42}, {"identifier": "F02", "position": [19, 9], "step": 42, "ordinal_position": 43}, {"identifier": "Q56", "position": [19, 8], "step": 43, "ordinal_position": 44}, {"identifier": "Y31", "position": [19, 7], "step": 44, "ordinal_position": 45}, {"identifier": "V82", "position": [19, 6], "step": 45, "ordinal_position": 46}, {"identifier": "B61", "position": [19, 5], "step": 46, "ordinal_position": 47}, {"identifier": "X77", "position": [19, 4], "step": 47, "ordinal_position": 48}, {"identifier": "S60", "position": [19, 3], "step": 48, "ordinal_position": 49}, {"identifier": "G03", "position": [19, 2], "step": 49, "ordinal_position": 50}, {"identifier": "C27", "position": [19, 1], "step": 50, "ordinal_position": 51}, {"identifier": "L58", "position": [18, 1], "step": 51, "ordinal_position": 52}, {"identifier": "N99", "position": [17, 1], "step": 52, "ordinal_position": 53}, {"identifier": "I95", "position": [17, 2], "step": 53, "ordinal_position": 54}, {"identifier": "P30", "position": [17, 3], "step": 54, "ordinal_position": 55}, {"identifier": "V04", "position": [17, 4], "step": 55, "ordinal_position": 56}, {"identifier": "E80", "position": [17, 5], "step": 56, "ordinal_position": 57}, {"identifier": "S32", "position": [17, 6], "step": 57, "ordinal_position": 58}, {"identifier": "M99", "position": [17, 7], "step": 58, "ordinal_position": 59}, {"identifier": "O11", "position": [17, 8], "step": 59, "ordinal_position": 60}, {"identifier": "Y37", "position": [17, 9], "step": 60, "ordinal_position": 61}, {"identifier": "C30", "position": [16, 9], "step": 61, "ordinal_position": 62}, {"identifier": "J41", "position": [15, 9], "step": 62, "ordinal_position": 63}, {"identifier": "J13", "position": [14, 9], "step": 63, "ordinal_position": 64}, {"identifier": "K60", "position": [13, 9], "step": 64, "ordinal_position": 65}, {"identifier": "Y05", "position": [13, 8], "step": 65, "ordinal_position": 66}, {"identifier": "F59", "position": [13, 7], "step": 66, "ordinal_position": 67}, {"identifier": "I79", "position": [12, 7], "step": 67, "ordinal_position": 68}, {"identifier": "H92", "position": [11, 7], "step": 68, "ordinal_position": 69}, {"identifier": "M05", "position": [11, 8], "step": 69, "ordinal_position": 70}, {"identifier": "X23", "position": [11, 9], "step": 70, "ordinal_position": 71}, {"identifier": "L01", "position": [11, 10], "step": 71, "ordinal_position": 72}, {"identifier": "Y98", "position": [11, 11], "step": 72, "ordinal_position": 73}, {"identifier": "I10", "position": [12, 11], "step": 73, "ordinal_position": 74}, {"identifier": "Z60", "position": [13, 11], "step": 74, "ordinal_position": 75}, {"identifier": "F08", "position": [13, 12], "step": 75, "ordinal_position": 76}, {"identifier": "I47", "position": [13, 13], "step": 76, "ordinal_position": 77}, {"identifier": "Y02", "position": [14, 13], "step": 77, "ordinal_position": 78}, {"identifier": "G83", "position": [15, 13], "step": 78, "ordinal_position": 79}, {"identifier": "K68", "position": [15, 14], "step": 79, "ordinal_position": 80}, {"identifier": "V44", "position": [15, 15], "step": 80, "ordinal_position": 81}, {"identifier": "R12", "position": [15, 16], "step": 81, "ordinal_position": 82}, {"identifier": "D42", "position": [15, 17], "step": 82, "ordinal_position": 83}, {"identifier": "W00", "position": [16, 17], "step": 83, "ordinal_position": 84}, {"identifier": "O30", "position": [17, 17], "step": 84, "ordinal_position": 85}, {"identifier": "V23", "position": [17, 18], "step": 85, "ordinal_position": 86}, {"identifier": "Y46", "position": [17, 19], "step": 86, "ordinal_position": 87}, {"identifier": "A87", "position": [18, 19], "step": 87, "ordinal_position": 88}, {"identifier": "S42", "position": [19, 19], "step": 88, "ordinal_position": 89}, {"identifier": "Y28", "position": [19, 18], "step": 89, "ordinal_position": 90}, {"identifier": "E45", "position": [19, 17], "step": 90, "ordinal_position": 91}, {"identifier": "D37", "position": [19, 16], "step": 91, "ordinal_position": 92}, {"identifier": "B78", "position": [19, 15], "step": 92, "ordinal_position": 93}, {"identifier": "W08", "position": [19, 14], "step": 93, "ordinal_position": 94}, {"identifier": "M57", "position": [19, 13], "step": 94, "ordinal_position": 95}, {"identifier": "P71", "position": [19, 12], "step": 95, "ordinal_position": 96}, {"identifier": "E37", "position": [19, 11], "step": 96, "ordinal_position": 97}, {"identifier": "A89", "position": [19, 10], "step": 97, "ordinal_position": 98}, {"identifier": "F02", "position": [19, 9], "step": 98, "ordinal_position": 99}, {"identifier": "Q56", "position": [19, 8], "step": 99, "ordinal_position": 100}, {"identifier": "Y31", "position": [19, 7], "step": 100, "ordinal_position": 101}, {"identifier": "V82", "position": [19, 6], "step": 101, "ordinal_position": 102}, {"identifier": "B61", "position": [19, 5], "step": 102, "ordinal_position": 103}, {"identifier": "X77", "position": [19, 4], "step": 103, "ordinal_position": 104}, {"identifier": "S60", "position": [19, 3], "step": 104, "ordinal_position": 105}, {"identifier": "G03", "position": [19, 2], "step": 105, "ordinal_position": 106}, {"identifier": "C27", "position": [19, 1], "step": 106, "ordinal_position": 107}, {"identifier": "L58", "position": [18, 1], "step": 107, "ordinal_position": 108}, {"identifier": "N99", "position": [17, 1], "step": 108, "ordinal_position": 109}, {"identifier": "I95", "position": [17, 2], "step": 109, "ordinal_position": 110}, {"identifier": "P30", "position": [17, 3], "step": 110, "ordinal_position": 111}, {"identifier": "V04", "position": [17, 4], "step": 111, "ordinal_position": 112}, {"identifier": "E80", "position": [17, 5], "step": 112, "ordinal_position": 113}, {"identifier": "S32", "position": [17, 6], "step": 113, "ordinal_position": 114}, {"identifier": "M99", "position": [17, 7], "step": 114, "ordinal_position": 115}, {"identifier": "O11", "position": [17, 8], "step": 115, "ordinal_position": 116}, {"identifier": "Y37", "position": [17, 9], "step": 116, "ordinal_position": 117}, {"identifier": "C30", "position": [16, 9], "step": 117, "ordinal_position": 118}, {"identifier": "J41", "position": [15, 9], "step": 118, "ordinal_position": 119}, {"identifier": "J13", "position": [14, 9], "step": 119, "ordinal_position": 120}, {"identifier": "K60", "position": [13, 9], "step": 120, "ordinal_position": 121}, {"identifier": "Y05", "position": [13, 8], "step": 121, "ordinal_position": 122}, {"identifier": "F59", "position": [13, 7], "step": 122, "ordinal_position": 123}, {"identifier": "I79", "position": [12, 7], "step": 123, "ordinal_position": 124}, {"identifier": "H92", "position": [11, 7], "step": 124, "ordinal_position": 125}, {"identifier": "M05", "position": [11, 8], "step": 125, "ordinal_position": 126}, {"identifier": "X23", "position": [11, 9], "step": 126, "ordinal_position": 127}, {"identifier": "L01", "position": [11, 10], "step": 127, "ordinal_position": 128}, {"identifier": "Y98", "position": [11, 11], "step": 128, "ordinal_position": 129}, {"identifier": "I10", "position": [12, 11], "step": 129, "ordinal_position": 130}, {"identifier": "Z60", "position": [13, 11], "step": 130, "ordinal_position": 131}, {"identifier": "F08", "position": [13, 12], "step": 131, "ordinal_position": 132}, {"identifier": "I47", "position": [13, 13], "step": 132, "ordinal_position": 133}, {"identifier": "Y02", "position": [14, 13], "step": 133, "ordinal_position": 134}, {"identifier": "G83", "position": [15, 13], "step": 134, "ordinal_position": 135}, {"identifier": "K68", "position": [15, 14], "step": 135, "ordinal_position": 136}, {"identifier": "V44", "position": [15, 15], "step": 136, "ordinal_position": 137}, {"identifier": "R12", "position": [15, 16], "step": 137, "ordinal_position": 138}, {"identifier": "D42", "position": [15, 17], "step": 138, "ordinal_position": 139}, {"identifier": "W00", "position": [16, 17], "step": 139, "ordinal_position": 140}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 140, "direction": "up", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_016.json"}} {"qa_id": "6ff8e115640e403d8baab065ef4d7b28", "image_id": "L3-MazeLoop-test_21x21_016", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L90, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 146th position in this traversal?", "start_object_id": "L90", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [146], "ordinal_strings": ["146th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "F02", "traversal_path": [{"identifier": "L90", "position": [14, 7], "step": 0, "ordinal_position": 1}, {"identifier": "F59", "position": [13, 7], "step": 1, "ordinal_position": 2}, {"identifier": "I79", "position": [12, 7], "step": 2, "ordinal_position": 3}, {"identifier": "H92", "position": [11, 7], "step": 3, "ordinal_position": 4}, {"identifier": "M05", "position": [11, 8], "step": 4, "ordinal_position": 5}, {"identifier": "X23", "position": [11, 9], "step": 5, "ordinal_position": 6}, {"identifier": "L01", "position": [11, 10], "step": 6, "ordinal_position": 7}, {"identifier": "Y98", "position": [11, 11], "step": 7, "ordinal_position": 8}, {"identifier": "I10", "position": [12, 11], "step": 8, "ordinal_position": 9}, {"identifier": "Z60", "position": [13, 11], "step": 9, "ordinal_position": 10}, {"identifier": "F08", "position": [13, 12], "step": 10, "ordinal_position": 11}, {"identifier": "I47", "position": [13, 13], "step": 11, "ordinal_position": 12}, {"identifier": "Y02", "position": [14, 13], "step": 12, "ordinal_position": 13}, {"identifier": "G83", "position": [15, 13], "step": 13, "ordinal_position": 14}, {"identifier": "K68", "position": [15, 14], "step": 14, "ordinal_position": 15}, {"identifier": "V44", "position": [15, 15], "step": 15, "ordinal_position": 16}, {"identifier": "R12", "position": [15, 16], "step": 16, "ordinal_position": 17}, {"identifier": "D42", "position": [15, 17], "step": 17, "ordinal_position": 18}, {"identifier": "W00", "position": [16, 17], "step": 18, "ordinal_position": 19}, {"identifier": "O30", "position": [17, 17], "step": 19, "ordinal_position": 20}, {"identifier": "V23", "position": [17, 18], "step": 20, "ordinal_position": 21}, {"identifier": "Y46", "position": [17, 19], "step": 21, "ordinal_position": 22}, {"identifier": "A87", "position": [18, 19], "step": 22, "ordinal_position": 23}, {"identifier": "S42", "position": [19, 19], "step": 23, "ordinal_position": 24}, {"identifier": "Y28", "position": [19, 18], "step": 24, "ordinal_position": 25}, {"identifier": "E45", "position": [19, 17], "step": 25, "ordinal_position": 26}, {"identifier": "D37", "position": [19, 16], "step": 26, "ordinal_position": 27}, {"identifier": "B78", "position": [19, 15], "step": 27, "ordinal_position": 28}, {"identifier": "W08", "position": [19, 14], "step": 28, "ordinal_position": 29}, {"identifier": "M57", "position": [19, 13], "step": 29, "ordinal_position": 30}, {"identifier": "P71", "position": [19, 12], "step": 30, "ordinal_position": 31}, {"identifier": "E37", "position": [19, 11], "step": 31, "ordinal_position": 32}, {"identifier": "A89", "position": [19, 10], "step": 32, "ordinal_position": 33}, {"identifier": "F02", "position": [19, 9], "step": 33, "ordinal_position": 34}, {"identifier": "Q56", "position": [19, 8], "step": 34, "ordinal_position": 35}, {"identifier": "Y31", "position": [19, 7], "step": 35, "ordinal_position": 36}, {"identifier": "V82", "position": [19, 6], "step": 36, "ordinal_position": 37}, {"identifier": "B61", "position": [19, 5], "step": 37, "ordinal_position": 38}, {"identifier": "X77", "position": [19, 4], "step": 38, "ordinal_position": 39}, {"identifier": "S60", "position": [19, 3], "step": 39, "ordinal_position": 40}, {"identifier": "G03", "position": [19, 2], "step": 40, "ordinal_position": 41}, {"identifier": "C27", "position": [19, 1], "step": 41, "ordinal_position": 42}, {"identifier": "L58", "position": [18, 1], "step": 42, "ordinal_position": 43}, {"identifier": "N99", "position": [17, 1], "step": 43, "ordinal_position": 44}, {"identifier": "I95", "position": [17, 2], "step": 44, "ordinal_position": 45}, {"identifier": "P30", "position": [17, 3], "step": 45, "ordinal_position": 46}, {"identifier": "V04", "position": [17, 4], "step": 46, "ordinal_position": 47}, {"identifier": "E80", "position": [17, 5], "step": 47, "ordinal_position": 48}, {"identifier": "S32", "position": [17, 6], "step": 48, "ordinal_position": 49}, {"identifier": "M99", "position": [17, 7], "step": 49, "ordinal_position": 50}, {"identifier": "O11", "position": [17, 8], "step": 50, "ordinal_position": 51}, {"identifier": "Y37", "position": [17, 9], "step": 51, "ordinal_position": 52}, {"identifier": "C30", "position": [16, 9], "step": 52, "ordinal_position": 53}, {"identifier": "J41", "position": [15, 9], "step": 53, "ordinal_position": 54}, {"identifier": "J13", "position": [14, 9], "step": 54, "ordinal_position": 55}, {"identifier": "K60", "position": [13, 9], "step": 55, "ordinal_position": 56}, {"identifier": "Y05", "position": [13, 8], "step": 56, "ordinal_position": 57}, {"identifier": "F59", "position": [13, 7], "step": 57, "ordinal_position": 58}, {"identifier": "I79", "position": [12, 7], "step": 58, "ordinal_position": 59}, {"identifier": "H92", "position": [11, 7], "step": 59, "ordinal_position": 60}, {"identifier": "M05", "position": [11, 8], "step": 60, "ordinal_position": 61}, {"identifier": "X23", "position": [11, 9], "step": 61, "ordinal_position": 62}, {"identifier": "L01", "position": [11, 10], "step": 62, "ordinal_position": 63}, {"identifier": "Y98", "position": [11, 11], "step": 63, "ordinal_position": 64}, {"identifier": "I10", "position": [12, 11], "step": 64, "ordinal_position": 65}, {"identifier": "Z60", "position": [13, 11], "step": 65, "ordinal_position": 66}, {"identifier": "F08", "position": [13, 12], "step": 66, "ordinal_position": 67}, {"identifier": "I47", "position": [13, 13], "step": 67, "ordinal_position": 68}, {"identifier": "Y02", "position": [14, 13], "step": 68, "ordinal_position": 69}, {"identifier": "G83", "position": [15, 13], "step": 69, "ordinal_position": 70}, {"identifier": "K68", "position": [15, 14], "step": 70, "ordinal_position": 71}, {"identifier": "V44", "position": [15, 15], "step": 71, "ordinal_position": 72}, {"identifier": "R12", "position": [15, 16], "step": 72, "ordinal_position": 73}, {"identifier": "D42", "position": [15, 17], "step": 73, "ordinal_position": 74}, {"identifier": "W00", "position": [16, 17], "step": 74, "ordinal_position": 75}, {"identifier": "O30", "position": [17, 17], "step": 75, "ordinal_position": 76}, {"identifier": "V23", "position": [17, 18], "step": 76, "ordinal_position": 77}, {"identifier": "Y46", "position": [17, 19], "step": 77, "ordinal_position": 78}, {"identifier": "A87", "position": [18, 19], "step": 78, "ordinal_position": 79}, {"identifier": "S42", "position": [19, 19], "step": 79, "ordinal_position": 80}, {"identifier": "Y28", "position": [19, 18], "step": 80, "ordinal_position": 81}, {"identifier": "E45", "position": [19, 17], "step": 81, "ordinal_position": 82}, {"identifier": "D37", "position": [19, 16], "step": 82, "ordinal_position": 83}, {"identifier": "B78", "position": [19, 15], "step": 83, "ordinal_position": 84}, {"identifier": "W08", "position": [19, 14], "step": 84, "ordinal_position": 85}, {"identifier": "M57", "position": [19, 13], "step": 85, "ordinal_position": 86}, {"identifier": "P71", "position": [19, 12], "step": 86, "ordinal_position": 87}, {"identifier": "E37", "position": [19, 11], "step": 87, "ordinal_position": 88}, {"identifier": "A89", "position": [19, 10], "step": 88, "ordinal_position": 89}, {"identifier": "F02", "position": [19, 9], "step": 89, "ordinal_position": 90}, {"identifier": "Q56", "position": [19, 8], "step": 90, "ordinal_position": 91}, {"identifier": "Y31", "position": [19, 7], "step": 91, "ordinal_position": 92}, {"identifier": "V82", "position": [19, 6], "step": 92, "ordinal_position": 93}, {"identifier": "B61", "position": [19, 5], "step": 93, "ordinal_position": 94}, {"identifier": "X77", "position": [19, 4], "step": 94, "ordinal_position": 95}, {"identifier": "S60", "position": [19, 3], "step": 95, "ordinal_position": 96}, {"identifier": "G03", "position": [19, 2], "step": 96, "ordinal_position": 97}, {"identifier": "C27", "position": [19, 1], "step": 97, "ordinal_position": 98}, {"identifier": "L58", "position": [18, 1], "step": 98, "ordinal_position": 99}, {"identifier": "N99", "position": [17, 1], "step": 99, "ordinal_position": 100}, {"identifier": "I95", "position": [17, 2], "step": 100, "ordinal_position": 101}, {"identifier": "P30", "position": [17, 3], "step": 101, "ordinal_position": 102}, {"identifier": "V04", "position": [17, 4], "step": 102, "ordinal_position": 103}, {"identifier": "E80", "position": [17, 5], "step": 103, "ordinal_position": 104}, {"identifier": "S32", "position": [17, 6], "step": 104, "ordinal_position": 105}, {"identifier": "M99", "position": [17, 7], "step": 105, "ordinal_position": 106}, {"identifier": "O11", "position": [17, 8], "step": 106, "ordinal_position": 107}, {"identifier": "Y37", "position": [17, 9], "step": 107, "ordinal_position": 108}, {"identifier": "C30", "position": [16, 9], "step": 108, "ordinal_position": 109}, {"identifier": "J41", "position": [15, 9], "step": 109, "ordinal_position": 110}, {"identifier": "J13", "position": [14, 9], "step": 110, "ordinal_position": 111}, {"identifier": "K60", "position": [13, 9], "step": 111, "ordinal_position": 112}, {"identifier": "Y05", "position": [13, 8], "step": 112, "ordinal_position": 113}, {"identifier": "F59", "position": [13, 7], "step": 113, "ordinal_position": 114}, {"identifier": "I79", "position": [12, 7], "step": 114, "ordinal_position": 115}, {"identifier": "H92", "position": [11, 7], "step": 115, "ordinal_position": 116}, {"identifier": "M05", "position": [11, 8], "step": 116, "ordinal_position": 117}, {"identifier": "X23", "position": [11, 9], "step": 117, "ordinal_position": 118}, {"identifier": "L01", "position": [11, 10], "step": 118, "ordinal_position": 119}, {"identifier": "Y98", "position": [11, 11], "step": 119, "ordinal_position": 120}, {"identifier": "I10", "position": [12, 11], "step": 120, "ordinal_position": 121}, {"identifier": "Z60", "position": [13, 11], "step": 121, "ordinal_position": 122}, {"identifier": "F08", "position": [13, 12], "step": 122, "ordinal_position": 123}, {"identifier": "I47", "position": [13, 13], "step": 123, "ordinal_position": 124}, {"identifier": "Y02", "position": [14, 13], "step": 124, "ordinal_position": 125}, {"identifier": "G83", "position": [15, 13], "step": 125, "ordinal_position": 126}, {"identifier": "K68", "position": [15, 14], "step": 126, "ordinal_position": 127}, {"identifier": "V44", "position": [15, 15], "step": 127, "ordinal_position": 128}, {"identifier": "R12", "position": [15, 16], "step": 128, "ordinal_position": 129}, {"identifier": "D42", "position": [15, 17], "step": 129, "ordinal_position": 130}, {"identifier": "W00", "position": [16, 17], "step": 130, "ordinal_position": 131}, {"identifier": "O30", "position": [17, 17], "step": 131, "ordinal_position": 132}, {"identifier": "V23", "position": [17, 18], "step": 132, "ordinal_position": 133}, {"identifier": "Y46", "position": [17, 19], "step": 133, "ordinal_position": 134}, {"identifier": "A87", "position": [18, 19], "step": 134, "ordinal_position": 135}, {"identifier": "S42", "position": [19, 19], "step": 135, "ordinal_position": 136}, {"identifier": "Y28", "position": [19, 18], "step": 136, "ordinal_position": 137}, {"identifier": "E45", "position": [19, 17], "step": 137, "ordinal_position": 138}, {"identifier": "D37", "position": [19, 16], "step": 138, "ordinal_position": 139}, {"identifier": "B78", "position": [19, 15], "step": 139, "ordinal_position": 140}, {"identifier": "W08", "position": [19, 14], "step": 140, "ordinal_position": 141}, {"identifier": "M57", "position": [19, 13], "step": 141, "ordinal_position": 142}, {"identifier": "P71", "position": [19, 12], "step": 142, "ordinal_position": 143}, {"identifier": "E37", "position": [19, 11], "step": 143, "ordinal_position": 144}, {"identifier": "A89", "position": [19, 10], "step": 144, "ordinal_position": 145}, {"identifier": "F02", "position": [19, 9], "step": 145, "ordinal_position": 146}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 146, "direction": "left", "turn_preference": "left", "total_objects": 211, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_016.json"}} {"qa_id": "bb64144834974d428d585281ed2e7579", "image_id": "L3-MazeLoop-test_21x21_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N89, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "N89", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "J32", "traversal_path": [{"identifier": "N89", "position": [5, 13], "step": 0, "ordinal_position": 1}, {"identifier": "T14", "position": [5, 12], "step": 1, "ordinal_position": 2}, {"identifier": "X84", "position": [5, 11], "step": 2, "ordinal_position": 3}, {"identifier": "D59", "position": [5, 10], "step": 3, "ordinal_position": 4}, {"identifier": "M93", "position": [5, 9], "step": 4, "ordinal_position": 5}, {"identifier": "J32", "position": [5, 8], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 6, "direction": "up", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_017.json"}} {"qa_id": "d98d10a3736b475a8f9e18864d363735", "image_id": "L3-MazeLoop-test_21x21_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X84, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 6th position in this traversal?", "start_object_id": "X84", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [6], "ordinal_strings": ["6th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Q56", "traversal_path": [{"identifier": "X84", "position": [5, 11], "step": 0, "ordinal_position": 1}, {"identifier": "G73", "position": [4, 11], "step": 1, "ordinal_position": 2}, {"identifier": "L03", "position": [3, 11], "step": 2, "ordinal_position": 3}, {"identifier": "T90", "position": [2, 11], "step": 3, "ordinal_position": 4}, {"identifier": "F28", "position": [1, 11], "step": 4, "ordinal_position": 5}, {"identifier": "Q56", "position": [1, 12], "step": 5, "ordinal_position": 6}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 6, "direction": "left", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_017.json"}} {"qa_id": "f5eb9464c2f24f70943ec28e5e3abd49", "image_id": "L3-MazeLoop-test_21x21_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z89, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 16th position in this traversal?", "start_object_id": "Z89", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [16], "ordinal_strings": ["16th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "U67", "traversal_path": [{"identifier": "Z89", "position": [7, 7], "step": 0, "ordinal_position": 1}, {"identifier": "W06", "position": [7, 8], "step": 1, "ordinal_position": 2}, {"identifier": "L82", "position": [7, 9], "step": 2, "ordinal_position": 3}, {"identifier": "P37", "position": [7, 10], "step": 3, "ordinal_position": 4}, {"identifier": "B12", "position": [7, 11], "step": 4, "ordinal_position": 5}, {"identifier": "W08", "position": [7, 12], "step": 5, "ordinal_position": 6}, {"identifier": "K54", "position": [7, 13], "step": 6, "ordinal_position": 7}, {"identifier": "I14", "position": [6, 13], "step": 7, "ordinal_position": 8}, {"identifier": "N89", "position": [5, 13], "step": 8, "ordinal_position": 9}, {"identifier": "T14", "position": [5, 12], "step": 9, "ordinal_position": 10}, {"identifier": "X84", "position": [5, 11], "step": 10, "ordinal_position": 11}, {"identifier": "D59", "position": [5, 10], "step": 11, "ordinal_position": 12}, {"identifier": "M93", "position": [5, 9], "step": 12, "ordinal_position": 13}, {"identifier": "J32", "position": [5, 8], "step": 13, "ordinal_position": 14}, {"identifier": "R86", "position": [5, 7], "step": 14, "ordinal_position": 15}, {"identifier": "U67", "position": [6, 7], "step": 15, "ordinal_position": 16}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 16, "direction": "down", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_017.json"}} {"qa_id": "8b702dfcbac742f2a8fa63a2f419a110", "image_id": "L3-MazeLoop-test_21x21_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled E26, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 17th position in this traversal?", "start_object_id": "E26", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [17], "ordinal_strings": ["17th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "G90", "traversal_path": [{"identifier": "E26", "position": [15, 1], "step": 0, "ordinal_position": 1}, {"identifier": "X92", "position": [16, 1], "step": 1, "ordinal_position": 2}, {"identifier": "F87", "position": [17, 1], "step": 2, "ordinal_position": 3}, {"identifier": "H75", "position": [18, 1], "step": 3, "ordinal_position": 4}, {"identifier": "B07", "position": [19, 1], "step": 4, "ordinal_position": 5}, {"identifier": "H82", "position": [19, 2], "step": 5, "ordinal_position": 6}, {"identifier": "G31", "position": [19, 3], "step": 6, "ordinal_position": 7}, {"identifier": "G12", "position": [19, 4], "step": 7, "ordinal_position": 8}, {"identifier": "A33", "position": [19, 5], "step": 8, "ordinal_position": 9}, {"identifier": "N46", "position": [18, 5], "step": 9, "ordinal_position": 10}, {"identifier": "K23", "position": [17, 5], "step": 10, "ordinal_position": 11}, {"identifier": "N69", "position": [17, 6], "step": 11, "ordinal_position": 12}, {"identifier": "H53", "position": [17, 7], "step": 12, "ordinal_position": 13}, {"identifier": "K83", "position": [18, 7], "step": 13, "ordinal_position": 14}, {"identifier": "P70", "position": [19, 7], "step": 14, "ordinal_position": 15}, {"identifier": "O41", "position": [19, 8], "step": 15, "ordinal_position": 16}, {"identifier": "G90", "position": [19, 9], "step": 16, "ordinal_position": 17}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 17, "direction": "right", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_017.json"}} {"qa_id": "78c1c45389d340e6b9c4e966e9eac7cf", "image_id": "L3-MazeLoop-test_21x21_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M39, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 19th position in this traversal?", "start_object_id": "M39", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [19], "ordinal_strings": ["19th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "N91", "traversal_path": [{"identifier": "M39", "position": [19, 11], "step": 0, "ordinal_position": 1}, {"identifier": "I65", "position": [18, 11], "step": 1, "ordinal_position": 2}, {"identifier": "R06", "position": [17, 11], "step": 2, "ordinal_position": 3}, {"identifier": "J96", "position": [17, 12], "step": 3, "ordinal_position": 4}, {"identifier": "I73", "position": [17, 13], "step": 4, "ordinal_position": 5}, {"identifier": "T83", "position": [16, 13], "step": 5, "ordinal_position": 6}, {"identifier": "V97", "position": [15, 13], "step": 6, "ordinal_position": 7}, {"identifier": "V53", "position": [15, 12], "step": 7, "ordinal_position": 8}, {"identifier": "A28", "position": [15, 11], "step": 8, "ordinal_position": 9}, {"identifier": "T77", "position": [15, 10], "step": 9, "ordinal_position": 10}, {"identifier": "D31", "position": [15, 9], "step": 10, "ordinal_position": 11}, {"identifier": "G08", "position": [15, 8], "step": 11, "ordinal_position": 12}, {"identifier": "J67", "position": [15, 7], "step": 12, "ordinal_position": 13}, {"identifier": "P50", "position": [15, 6], "step": 13, "ordinal_position": 14}, {"identifier": "S65", "position": [15, 5], "step": 14, "ordinal_position": 15}, {"identifier": "I87", "position": [14, 5], "step": 15, "ordinal_position": 16}, {"identifier": "Z94", "position": [13, 5], "step": 16, "ordinal_position": 17}, {"identifier": "N38", "position": [13, 6], "step": 17, "ordinal_position": 18}, {"identifier": "N91", "position": [13, 7], "step": 18, "ordinal_position": 19}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 19, "direction": "left", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_017.json"}} {"qa_id": "3900aa8fc20c4273b84e1217c9501cb7", "image_id": "L3-MazeLoop-test_21x21_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled L81, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 42nd position in this traversal?", "start_object_id": "L81", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [42], "ordinal_strings": ["42nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "R06", "traversal_path": [{"identifier": "L81", "position": [14, 19], "step": 0, "ordinal_position": 1}, {"identifier": "V10", "position": [13, 19], "step": 1, "ordinal_position": 2}, {"identifier": "J09", "position": [12, 19], "step": 2, "ordinal_position": 3}, {"identifier": "E01", "position": [11, 19], "step": 3, "ordinal_position": 4}, {"identifier": "M34", "position": [11, 18], "step": 4, "ordinal_position": 5}, {"identifier": "Q61", "position": [11, 17], "step": 5, "ordinal_position": 6}, {"identifier": "Q54", "position": [11, 16], "step": 6, "ordinal_position": 7}, {"identifier": "R85", "position": [11, 15], "step": 7, "ordinal_position": 8}, {"identifier": "M60", "position": [10, 15], "step": 8, "ordinal_position": 9}, {"identifier": "E62", "position": [9, 15], "step": 9, "ordinal_position": 10}, {"identifier": "G21", "position": [9, 14], "step": 10, "ordinal_position": 11}, {"identifier": "B22", "position": [9, 13], "step": 11, "ordinal_position": 12}, {"identifier": "I09", "position": [10, 13], "step": 12, "ordinal_position": 13}, {"identifier": "F84", "position": [11, 13], "step": 13, "ordinal_position": 14}, {"identifier": "T38", "position": [12, 13], "step": 14, "ordinal_position": 15}, {"identifier": "C38", "position": [13, 13], "step": 15, "ordinal_position": 16}, {"identifier": "B44", "position": [13, 14], "step": 16, "ordinal_position": 17}, {"identifier": "N32", "position": [13, 15], "step": 17, "ordinal_position": 18}, {"identifier": "S15", "position": [13, 16], "step": 18, "ordinal_position": 19}, {"identifier": "Z26", "position": [13, 17], "step": 19, "ordinal_position": 20}, {"identifier": "N33", "position": [13, 18], "step": 20, "ordinal_position": 21}, {"identifier": "V10", "position": [13, 19], "step": 21, "ordinal_position": 22}, {"identifier": "L81", "position": [14, 19], "step": 22, "ordinal_position": 23}, {"identifier": "P25", "position": [15, 19], "step": 23, "ordinal_position": 24}, {"identifier": "I20", "position": [16, 19], "step": 24, "ordinal_position": 25}, {"identifier": "T33", "position": [17, 19], "step": 25, "ordinal_position": 26}, {"identifier": "W90", "position": [18, 19], "step": 26, "ordinal_position": 27}, {"identifier": "K26", "position": [19, 19], "step": 27, "ordinal_position": 28}, {"identifier": "Q67", "position": [19, 18], "step": 28, "ordinal_position": 29}, {"identifier": "W27", "position": [19, 17], "step": 29, "ordinal_position": 30}, {"identifier": "F12", "position": [18, 17], "step": 30, "ordinal_position": 31}, {"identifier": "F10", "position": [17, 17], "step": 31, "ordinal_position": 32}, {"identifier": "K62", "position": [17, 16], "step": 32, "ordinal_position": 33}, {"identifier": "X43", "position": [17, 15], "step": 33, "ordinal_position": 34}, {"identifier": "X80", "position": [18, 15], "step": 34, "ordinal_position": 35}, {"identifier": "Z65", "position": [19, 15], "step": 35, "ordinal_position": 36}, {"identifier": "G97", "position": [19, 14], "step": 36, "ordinal_position": 37}, {"identifier": "C92", "position": [19, 13], "step": 37, "ordinal_position": 38}, {"identifier": "Q45", "position": [19, 12], "step": 38, "ordinal_position": 39}, {"identifier": "M39", "position": [19, 11], "step": 39, "ordinal_position": 40}, {"identifier": "I65", "position": [18, 11], "step": 40, "ordinal_position": 41}, {"identifier": "R06", "position": [17, 11], "step": 41, "ordinal_position": 42}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 42, "direction": "left", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_017.json"}} {"qa_id": "4ad049ee9c4d47859b2cae452986cc56", "image_id": "L3-MazeLoop-test_21x21_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T72, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 66th position in this traversal?", "start_object_id": "T72", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [66], "ordinal_strings": ["66th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Z65", "traversal_path": [{"identifier": "T72", "position": [6, 19], "step": 0, "ordinal_position": 1}, {"identifier": "J65", "position": [7, 19], "step": 1, "ordinal_position": 2}, {"identifier": "I02", "position": [8, 19], "step": 2, "ordinal_position": 3}, {"identifier": "W05", "position": [9, 19], "step": 3, "ordinal_position": 4}, {"identifier": "K89", "position": [9, 18], "step": 4, "ordinal_position": 5}, {"identifier": "B37", "position": [9, 17], "step": 5, "ordinal_position": 6}, {"identifier": "I35", "position": [10, 17], "step": 6, "ordinal_position": 7}, {"identifier": "Q61", "position": [11, 17], "step": 7, "ordinal_position": 8}, {"identifier": "M34", "position": [11, 18], "step": 8, "ordinal_position": 9}, {"identifier": "E01", "position": [11, 19], "step": 9, "ordinal_position": 10}, {"identifier": "J09", "position": [12, 19], "step": 10, "ordinal_position": 11}, {"identifier": "V10", "position": [13, 19], "step": 11, "ordinal_position": 12}, {"identifier": "L81", "position": [14, 19], "step": 12, "ordinal_position": 13}, {"identifier": "P25", "position": [15, 19], "step": 13, "ordinal_position": 14}, {"identifier": "I20", "position": [16, 19], "step": 14, "ordinal_position": 15}, {"identifier": "T33", "position": [17, 19], "step": 15, "ordinal_position": 16}, {"identifier": "W90", "position": [18, 19], "step": 16, "ordinal_position": 17}, {"identifier": "K26", "position": [19, 19], "step": 17, "ordinal_position": 18}, {"identifier": "Q67", "position": [19, 18], "step": 18, "ordinal_position": 19}, {"identifier": "W27", "position": [19, 17], "step": 19, "ordinal_position": 20}, {"identifier": "F12", "position": [18, 17], "step": 20, "ordinal_position": 21}, {"identifier": "F10", "position": [17, 17], "step": 21, "ordinal_position": 22}, {"identifier": "K62", "position": [17, 16], "step": 22, "ordinal_position": 23}, {"identifier": "X43", "position": [17, 15], "step": 23, "ordinal_position": 24}, {"identifier": "X80", "position": [18, 15], "step": 24, "ordinal_position": 25}, {"identifier": "Z65", "position": [19, 15], "step": 25, "ordinal_position": 26}, {"identifier": "G97", "position": [19, 14], "step": 26, "ordinal_position": 27}, {"identifier": "C92", "position": [19, 13], "step": 27, "ordinal_position": 28}, {"identifier": "Q45", "position": [19, 12], "step": 28, "ordinal_position": 29}, {"identifier": "M39", "position": [19, 11], "step": 29, "ordinal_position": 30}, {"identifier": "I65", "position": [18, 11], "step": 30, "ordinal_position": 31}, {"identifier": "R06", "position": [17, 11], "step": 31, "ordinal_position": 32}, {"identifier": "J96", "position": [17, 12], "step": 32, "ordinal_position": 33}, {"identifier": "I73", "position": [17, 13], "step": 33, "ordinal_position": 34}, {"identifier": "T83", "position": [16, 13], "step": 34, "ordinal_position": 35}, {"identifier": "V97", "position": [15, 13], "step": 35, "ordinal_position": 36}, {"identifier": "V53", "position": [15, 12], "step": 36, "ordinal_position": 37}, {"identifier": "A28", "position": [15, 11], "step": 37, "ordinal_position": 38}, {"identifier": "T77", "position": [15, 10], "step": 38, "ordinal_position": 39}, {"identifier": "D31", "position": [15, 9], "step": 39, "ordinal_position": 40}, {"identifier": "G08", "position": [15, 8], "step": 40, "ordinal_position": 41}, {"identifier": "J67", "position": [15, 7], "step": 41, "ordinal_position": 42}, {"identifier": "P50", "position": [15, 6], "step": 42, "ordinal_position": 43}, {"identifier": "S65", "position": [15, 5], "step": 43, "ordinal_position": 44}, {"identifier": "I87", "position": [14, 5], "step": 44, "ordinal_position": 45}, {"identifier": "Z94", "position": [13, 5], "step": 45, "ordinal_position": 46}, {"identifier": "N38", "position": [13, 6], "step": 46, "ordinal_position": 47}, {"identifier": "N91", "position": [13, 7], "step": 47, "ordinal_position": 48}, {"identifier": "U34", "position": [14, 7], "step": 48, "ordinal_position": 49}, {"identifier": "J67", "position": [15, 7], "step": 49, "ordinal_position": 50}, {"identifier": "G08", "position": [15, 8], "step": 50, "ordinal_position": 51}, {"identifier": "D31", "position": [15, 9], "step": 51, "ordinal_position": 52}, {"identifier": "T77", "position": [15, 10], "step": 52, "ordinal_position": 53}, {"identifier": "A28", "position": [15, 11], "step": 53, "ordinal_position": 54}, {"identifier": "V53", "position": [15, 12], "step": 54, "ordinal_position": 55}, {"identifier": "V97", "position": [15, 13], "step": 55, "ordinal_position": 56}, {"identifier": "T83", "position": [16, 13], "step": 56, "ordinal_position": 57}, {"identifier": "I73", "position": [17, 13], "step": 57, "ordinal_position": 58}, {"identifier": "J96", "position": [17, 12], "step": 58, "ordinal_position": 59}, {"identifier": "R06", "position": [17, 11], "step": 59, "ordinal_position": 60}, {"identifier": "I65", "position": [18, 11], "step": 60, "ordinal_position": 61}, {"identifier": "M39", "position": [19, 11], "step": 61, "ordinal_position": 62}, {"identifier": "Q45", "position": [19, 12], "step": 62, "ordinal_position": 63}, {"identifier": "C92", "position": [19, 13], "step": 63, "ordinal_position": 64}, {"identifier": "G97", "position": [19, 14], "step": 64, "ordinal_position": 65}, {"identifier": "Z65", "position": [19, 15], "step": 65, "ordinal_position": 66}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 66, "direction": "right", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_017.json"}} {"qa_id": "1aad86d980eb49d597032b5246a918f1", "image_id": "L3-MazeLoop-test_21x21_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H70, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 75th position in this traversal?", "start_object_id": "H70", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [75], "ordinal_strings": ["75th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "B12", "traversal_path": [{"identifier": "H70", "position": [3, 5], "step": 0, "ordinal_position": 1}, {"identifier": "D01", "position": [4, 5], "step": 1, "ordinal_position": 2}, {"identifier": "M05", "position": [5, 5], "step": 2, "ordinal_position": 3}, {"identifier": "N81", "position": [6, 5], "step": 3, "ordinal_position": 4}, {"identifier": "V05", "position": [7, 5], "step": 4, "ordinal_position": 5}, {"identifier": "U50", "position": [8, 5], "step": 5, "ordinal_position": 6}, {"identifier": "G18", "position": [9, 5], "step": 6, "ordinal_position": 7}, {"identifier": "P12", "position": [9, 6], "step": 7, "ordinal_position": 8}, {"identifier": "H10", "position": [9, 7], "step": 8, "ordinal_position": 9}, {"identifier": "V43", "position": [9, 8], "step": 9, "ordinal_position": 10}, {"identifier": "B24", "position": [9, 9], "step": 10, "ordinal_position": 11}, {"identifier": "Z62", "position": [8, 9], "step": 11, "ordinal_position": 12}, {"identifier": "L82", "position": [7, 9], "step": 12, "ordinal_position": 13}, {"identifier": "W06", "position": [7, 8], "step": 13, "ordinal_position": 14}, {"identifier": "Z89", "position": [7, 7], "step": 14, "ordinal_position": 15}, {"identifier": "U67", "position": [6, 7], "step": 15, "ordinal_position": 16}, {"identifier": "R86", "position": [5, 7], "step": 16, "ordinal_position": 17}, {"identifier": "J32", "position": [5, 8], "step": 17, "ordinal_position": 18}, {"identifier": "M93", "position": [5, 9], "step": 18, "ordinal_position": 19}, {"identifier": "D59", "position": [5, 10], "step": 19, "ordinal_position": 20}, {"identifier": "X84", "position": [5, 11], "step": 20, "ordinal_position": 21}, {"identifier": "T14", "position": [5, 12], "step": 21, "ordinal_position": 22}, {"identifier": "N89", "position": [5, 13], "step": 22, "ordinal_position": 23}, {"identifier": "I14", "position": [6, 13], "step": 23, "ordinal_position": 24}, {"identifier": "K54", "position": [7, 13], "step": 24, "ordinal_position": 25}, {"identifier": "W08", "position": [7, 12], "step": 25, "ordinal_position": 26}, {"identifier": "B12", "position": [7, 11], "step": 26, "ordinal_position": 27}, {"identifier": "P37", "position": [7, 10], "step": 27, "ordinal_position": 28}, {"identifier": "L82", "position": [7, 9], "step": 28, "ordinal_position": 29}, {"identifier": "W06", "position": [7, 8], "step": 29, "ordinal_position": 30}, {"identifier": "Z89", "position": [7, 7], "step": 30, "ordinal_position": 31}, {"identifier": "U67", "position": [6, 7], "step": 31, "ordinal_position": 32}, {"identifier": "R86", "position": [5, 7], "step": 32, "ordinal_position": 33}, {"identifier": "J32", "position": [5, 8], "step": 33, "ordinal_position": 34}, {"identifier": "M93", "position": [5, 9], "step": 34, "ordinal_position": 35}, {"identifier": "D59", "position": [5, 10], "step": 35, "ordinal_position": 36}, {"identifier": "X84", "position": [5, 11], "step": 36, "ordinal_position": 37}, {"identifier": "T14", "position": [5, 12], "step": 37, "ordinal_position": 38}, {"identifier": "N89", "position": [5, 13], "step": 38, "ordinal_position": 39}, {"identifier": "I14", "position": [6, 13], "step": 39, "ordinal_position": 40}, {"identifier": "K54", "position": [7, 13], "step": 40, "ordinal_position": 41}, {"identifier": "W08", "position": [7, 12], "step": 41, "ordinal_position": 42}, {"identifier": "B12", "position": [7, 11], "step": 42, "ordinal_position": 43}, {"identifier": "P37", "position": [7, 10], "step": 43, "ordinal_position": 44}, {"identifier": "L82", "position": [7, 9], "step": 44, "ordinal_position": 45}, {"identifier": "W06", "position": [7, 8], "step": 45, "ordinal_position": 46}, {"identifier": "Z89", "position": [7, 7], "step": 46, "ordinal_position": 47}, {"identifier": "U67", "position": [6, 7], "step": 47, "ordinal_position": 48}, {"identifier": "R86", "position": [5, 7], "step": 48, "ordinal_position": 49}, {"identifier": "J32", "position": [5, 8], "step": 49, "ordinal_position": 50}, {"identifier": "M93", "position": [5, 9], "step": 50, "ordinal_position": 51}, {"identifier": "D59", "position": [5, 10], "step": 51, "ordinal_position": 52}, {"identifier": "X84", "position": [5, 11], "step": 52, "ordinal_position": 53}, {"identifier": "T14", "position": [5, 12], "step": 53, "ordinal_position": 54}, {"identifier": "N89", "position": [5, 13], "step": 54, "ordinal_position": 55}, {"identifier": "I14", "position": [6, 13], "step": 55, "ordinal_position": 56}, {"identifier": "K54", "position": [7, 13], "step": 56, "ordinal_position": 57}, {"identifier": "W08", "position": [7, 12], "step": 57, "ordinal_position": 58}, {"identifier": "B12", "position": [7, 11], "step": 58, "ordinal_position": 59}, {"identifier": "P37", "position": [7, 10], "step": 59, "ordinal_position": 60}, {"identifier": "L82", "position": [7, 9], "step": 60, "ordinal_position": 61}, {"identifier": "W06", "position": [7, 8], "step": 61, "ordinal_position": 62}, {"identifier": "Z89", "position": [7, 7], "step": 62, "ordinal_position": 63}, {"identifier": "U67", "position": [6, 7], "step": 63, "ordinal_position": 64}, {"identifier": "R86", "position": [5, 7], "step": 64, "ordinal_position": 65}, {"identifier": "J32", "position": [5, 8], "step": 65, "ordinal_position": 66}, {"identifier": "M93", "position": [5, 9], "step": 66, "ordinal_position": 67}, {"identifier": "D59", "position": [5, 10], "step": 67, "ordinal_position": 68}, {"identifier": "X84", "position": [5, 11], "step": 68, "ordinal_position": 69}, {"identifier": "T14", "position": [5, 12], "step": 69, "ordinal_position": 70}, {"identifier": "N89", "position": [5, 13], "step": 70, "ordinal_position": 71}, {"identifier": "I14", "position": [6, 13], "step": 71, "ordinal_position": 72}, {"identifier": "K54", "position": [7, 13], "step": 72, "ordinal_position": 73}, {"identifier": "W08", "position": [7, 12], "step": 73, "ordinal_position": 74}, {"identifier": "B12", "position": [7, 11], "step": 74, "ordinal_position": 75}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 75, "direction": "right", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_017.json"}} {"qa_id": "7ff38bc781cf4a57a772bda69028d881", "image_id": "L3-MazeLoop-test_21x21_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U30, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 93rd position in this traversal?", "start_object_id": "U30", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [93], "ordinal_strings": ["93rd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M60", "traversal_path": [{"identifier": "U30", "position": [10, 1], "step": 0, "ordinal_position": 1}, {"identifier": "I75", "position": [11, 1], "step": 1, "ordinal_position": 2}, {"identifier": "R92", "position": [12, 1], "step": 2, "ordinal_position": 3}, {"identifier": "I33", "position": [13, 1], "step": 3, "ordinal_position": 4}, {"identifier": "A48", "position": [14, 1], "step": 4, "ordinal_position": 5}, {"identifier": "E26", "position": [15, 1], "step": 5, "ordinal_position": 6}, {"identifier": "X92", "position": [16, 1], "step": 6, "ordinal_position": 7}, {"identifier": "F87", "position": [17, 1], "step": 7, "ordinal_position": 8}, {"identifier": "H75", "position": [18, 1], "step": 8, "ordinal_position": 9}, {"identifier": "B07", "position": [19, 1], "step": 9, "ordinal_position": 10}, {"identifier": "H82", "position": [19, 2], "step": 10, "ordinal_position": 11}, {"identifier": "G31", "position": [19, 3], "step": 11, "ordinal_position": 12}, {"identifier": "G12", "position": [19, 4], "step": 12, "ordinal_position": 13}, {"identifier": "A33", "position": [19, 5], "step": 13, "ordinal_position": 14}, {"identifier": "N46", "position": [18, 5], "step": 14, "ordinal_position": 15}, {"identifier": "K23", "position": [17, 5], "step": 15, "ordinal_position": 16}, {"identifier": "N69", "position": [17, 6], "step": 16, "ordinal_position": 17}, {"identifier": "H53", "position": [17, 7], "step": 17, "ordinal_position": 18}, {"identifier": "K83", "position": [18, 7], "step": 18, "ordinal_position": 19}, {"identifier": "P70", "position": [19, 7], "step": 19, "ordinal_position": 20}, {"identifier": "O41", "position": [19, 8], "step": 20, "ordinal_position": 21}, {"identifier": "G90", "position": [19, 9], "step": 21, "ordinal_position": 22}, {"identifier": "C98", "position": [18, 9], "step": 22, "ordinal_position": 23}, {"identifier": "E81", "position": [17, 9], "step": 23, "ordinal_position": 24}, {"identifier": "J79", "position": [16, 9], "step": 24, "ordinal_position": 25}, {"identifier": "D31", "position": [15, 9], "step": 25, "ordinal_position": 26}, {"identifier": "G08", "position": [15, 8], "step": 26, "ordinal_position": 27}, {"identifier": "J67", "position": [15, 7], "step": 27, "ordinal_position": 28}, {"identifier": "P50", "position": [15, 6], "step": 28, "ordinal_position": 29}, {"identifier": "S65", "position": [15, 5], "step": 29, "ordinal_position": 30}, {"identifier": "I87", "position": [14, 5], "step": 30, "ordinal_position": 31}, {"identifier": "Z94", "position": [13, 5], "step": 31, "ordinal_position": 32}, {"identifier": "N38", "position": [13, 6], "step": 32, "ordinal_position": 33}, {"identifier": "N91", "position": [13, 7], "step": 33, "ordinal_position": 34}, {"identifier": "U34", "position": [14, 7], "step": 34, "ordinal_position": 35}, {"identifier": "J67", "position": [15, 7], "step": 35, "ordinal_position": 36}, {"identifier": "G08", "position": [15, 8], "step": 36, "ordinal_position": 37}, {"identifier": "D31", "position": [15, 9], "step": 37, "ordinal_position": 38}, {"identifier": "T77", "position": [15, 10], "step": 38, "ordinal_position": 39}, {"identifier": "A28", "position": [15, 11], "step": 39, "ordinal_position": 40}, {"identifier": "V53", "position": [15, 12], "step": 40, "ordinal_position": 41}, {"identifier": "V97", "position": [15, 13], "step": 41, "ordinal_position": 42}, {"identifier": "T83", "position": [16, 13], "step": 42, "ordinal_position": 43}, {"identifier": "I73", "position": [17, 13], "step": 43, "ordinal_position": 44}, {"identifier": "J96", "position": [17, 12], "step": 44, "ordinal_position": 45}, {"identifier": "R06", "position": [17, 11], "step": 45, "ordinal_position": 46}, {"identifier": "I65", "position": [18, 11], "step": 46, "ordinal_position": 47}, {"identifier": "M39", "position": [19, 11], "step": 47, "ordinal_position": 48}, {"identifier": "Q45", "position": [19, 12], "step": 48, "ordinal_position": 49}, {"identifier": "C92", "position": [19, 13], "step": 49, "ordinal_position": 50}, {"identifier": "G97", "position": [19, 14], "step": 50, "ordinal_position": 51}, {"identifier": "Z65", "position": [19, 15], "step": 51, "ordinal_position": 52}, {"identifier": "X80", "position": [18, 15], "step": 52, "ordinal_position": 53}, {"identifier": "X43", "position": [17, 15], "step": 53, "ordinal_position": 54}, {"identifier": "K62", "position": [17, 16], "step": 54, "ordinal_position": 55}, {"identifier": "F10", "position": [17, 17], "step": 55, "ordinal_position": 56}, {"identifier": "F12", "position": [18, 17], "step": 56, "ordinal_position": 57}, {"identifier": "W27", "position": [19, 17], "step": 57, "ordinal_position": 58}, {"identifier": "Q67", "position": [19, 18], "step": 58, "ordinal_position": 59}, {"identifier": "K26", "position": [19, 19], "step": 59, "ordinal_position": 60}, {"identifier": "W90", "position": [18, 19], "step": 60, "ordinal_position": 61}, {"identifier": "T33", "position": [17, 19], "step": 61, "ordinal_position": 62}, {"identifier": "I20", "position": [16, 19], "step": 62, "ordinal_position": 63}, {"identifier": "P25", "position": [15, 19], "step": 63, "ordinal_position": 64}, {"identifier": "L81", "position": [14, 19], "step": 64, "ordinal_position": 65}, {"identifier": "V10", "position": [13, 19], "step": 65, "ordinal_position": 66}, {"identifier": "J09", "position": [12, 19], "step": 66, "ordinal_position": 67}, {"identifier": "E01", "position": [11, 19], "step": 67, "ordinal_position": 68}, {"identifier": "M34", "position": [11, 18], "step": 68, "ordinal_position": 69}, {"identifier": "Q61", "position": [11, 17], "step": 69, "ordinal_position": 70}, {"identifier": "Q54", "position": [11, 16], "step": 70, "ordinal_position": 71}, {"identifier": "R85", "position": [11, 15], "step": 71, "ordinal_position": 72}, {"identifier": "M60", "position": [10, 15], "step": 72, "ordinal_position": 73}, {"identifier": "E62", "position": [9, 15], "step": 73, "ordinal_position": 74}, {"identifier": "G21", "position": [9, 14], "step": 74, "ordinal_position": 75}, {"identifier": "B22", "position": [9, 13], "step": 75, "ordinal_position": 76}, {"identifier": "I09", "position": [10, 13], "step": 76, "ordinal_position": 77}, {"identifier": "F84", "position": [11, 13], "step": 77, "ordinal_position": 78}, {"identifier": "T38", "position": [12, 13], "step": 78, "ordinal_position": 79}, {"identifier": "C38", "position": [13, 13], "step": 79, "ordinal_position": 80}, {"identifier": "B44", "position": [13, 14], "step": 80, "ordinal_position": 81}, {"identifier": "N32", "position": [13, 15], "step": 81, "ordinal_position": 82}, {"identifier": "S15", "position": [13, 16], "step": 82, "ordinal_position": 83}, {"identifier": "Z26", "position": [13, 17], "step": 83, "ordinal_position": 84}, {"identifier": "N33", "position": [13, 18], "step": 84, "ordinal_position": 85}, {"identifier": "V10", "position": [13, 19], "step": 85, "ordinal_position": 86}, {"identifier": "J09", "position": [12, 19], "step": 86, "ordinal_position": 87}, {"identifier": "E01", "position": [11, 19], "step": 87, "ordinal_position": 88}, {"identifier": "M34", "position": [11, 18], "step": 88, "ordinal_position": 89}, {"identifier": "Q61", "position": [11, 17], "step": 89, "ordinal_position": 90}, {"identifier": "Q54", "position": [11, 16], "step": 90, "ordinal_position": 91}, {"identifier": "R85", "position": [11, 15], "step": 91, "ordinal_position": 92}, {"identifier": "M60", "position": [10, 15], "step": 92, "ordinal_position": 93}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 93, "direction": "right", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_017.json"}} {"qa_id": "3b902901c34c422baa63072ad5a05fa7", "image_id": "L3-MazeLoop-test_21x21_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V43, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 84th position in this traversal?", "start_object_id": "V43", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [84], "ordinal_strings": ["84th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "P25", "traversal_path": [{"identifier": "V43", "position": [9, 8], "step": 0, "ordinal_position": 1}, {"identifier": "H10", "position": [9, 7], "step": 1, "ordinal_position": 2}, {"identifier": "P12", "position": [9, 6], "step": 2, "ordinal_position": 3}, {"identifier": "G18", "position": [9, 5], "step": 3, "ordinal_position": 4}, {"identifier": "U50", "position": [8, 5], "step": 4, "ordinal_position": 5}, {"identifier": "V05", "position": [7, 5], "step": 5, "ordinal_position": 6}, {"identifier": "N81", "position": [6, 5], "step": 6, "ordinal_position": 7}, {"identifier": "M05", "position": [5, 5], "step": 7, "ordinal_position": 8}, {"identifier": "D01", "position": [4, 5], "step": 8, "ordinal_position": 9}, {"identifier": "H70", "position": [3, 5], "step": 9, "ordinal_position": 10}, {"identifier": "N72", "position": [3, 6], "step": 10, "ordinal_position": 11}, {"identifier": "W41", "position": [3, 7], "step": 11, "ordinal_position": 12}, {"identifier": "Y75", "position": [3, 8], "step": 12, "ordinal_position": 13}, {"identifier": "M62", "position": [3, 9], "step": 13, "ordinal_position": 14}, {"identifier": "D40", "position": [2, 9], "step": 14, "ordinal_position": 15}, {"identifier": "R49", "position": [1, 9], "step": 15, "ordinal_position": 16}, {"identifier": "I72", "position": [1, 8], "step": 16, "ordinal_position": 17}, {"identifier": "N17", "position": [1, 7], "step": 17, "ordinal_position": 18}, {"identifier": "R63", "position": [1, 6], "step": 18, "ordinal_position": 19}, {"identifier": "E07", "position": [1, 5], "step": 19, "ordinal_position": 20}, {"identifier": "C12", "position": [1, 4], "step": 20, "ordinal_position": 21}, {"identifier": "F21", "position": [1, 3], "step": 21, "ordinal_position": 22}, {"identifier": "U20", "position": [1, 2], "step": 22, "ordinal_position": 23}, {"identifier": "T32", "position": [1, 1], "step": 23, "ordinal_position": 24}, {"identifier": "L06", "position": [2, 1], "step": 24, "ordinal_position": 25}, {"identifier": "D54", "position": [3, 1], "step": 25, "ordinal_position": 26}, {"identifier": "R22", "position": [4, 1], "step": 26, "ordinal_position": 27}, {"identifier": "C46", "position": [5, 1], "step": 27, "ordinal_position": 28}, {"identifier": "R53", "position": [6, 1], "step": 28, "ordinal_position": 29}, {"identifier": "P80", "position": [7, 1], "step": 29, "ordinal_position": 30}, {"identifier": "K94", "position": [8, 1], "step": 30, "ordinal_position": 31}, {"identifier": "V20", "position": [9, 1], "step": 31, "ordinal_position": 32}, {"identifier": "U30", "position": [10, 1], "step": 32, "ordinal_position": 33}, {"identifier": "I75", "position": [11, 1], "step": 33, "ordinal_position": 34}, {"identifier": "R92", "position": [12, 1], "step": 34, "ordinal_position": 35}, {"identifier": "I33", "position": [13, 1], "step": 35, "ordinal_position": 36}, {"identifier": "A48", "position": [14, 1], "step": 36, "ordinal_position": 37}, {"identifier": "E26", "position": [15, 1], "step": 37, "ordinal_position": 38}, {"identifier": "X92", "position": [16, 1], "step": 38, "ordinal_position": 39}, {"identifier": "F87", "position": [17, 1], "step": 39, "ordinal_position": 40}, {"identifier": "H75", "position": [18, 1], "step": 40, "ordinal_position": 41}, {"identifier": "B07", "position": [19, 1], "step": 41, "ordinal_position": 42}, {"identifier": "H82", "position": [19, 2], "step": 42, "ordinal_position": 43}, {"identifier": "G31", "position": [19, 3], "step": 43, "ordinal_position": 44}, {"identifier": "G12", "position": [19, 4], "step": 44, "ordinal_position": 45}, {"identifier": "A33", "position": [19, 5], "step": 45, "ordinal_position": 46}, {"identifier": "N46", "position": [18, 5], "step": 46, "ordinal_position": 47}, {"identifier": "K23", "position": [17, 5], "step": 47, "ordinal_position": 48}, {"identifier": "N69", "position": [17, 6], "step": 48, "ordinal_position": 49}, {"identifier": "H53", "position": [17, 7], "step": 49, "ordinal_position": 50}, {"identifier": "K83", "position": [18, 7], "step": 50, "ordinal_position": 51}, {"identifier": "P70", "position": [19, 7], "step": 51, "ordinal_position": 52}, {"identifier": "O41", "position": [19, 8], "step": 52, "ordinal_position": 53}, {"identifier": "G90", "position": [19, 9], "step": 53, "ordinal_position": 54}, {"identifier": "C98", "position": [18, 9], "step": 54, "ordinal_position": 55}, {"identifier": "E81", "position": [17, 9], "step": 55, "ordinal_position": 56}, {"identifier": "J79", "position": [16, 9], "step": 56, "ordinal_position": 57}, {"identifier": "D31", "position": [15, 9], "step": 57, "ordinal_position": 58}, {"identifier": "T77", "position": [15, 10], "step": 58, "ordinal_position": 59}, {"identifier": "A28", "position": [15, 11], "step": 59, "ordinal_position": 60}, {"identifier": "V53", "position": [15, 12], "step": 60, "ordinal_position": 61}, {"identifier": "V97", "position": [15, 13], "step": 61, "ordinal_position": 62}, {"identifier": "T83", "position": [16, 13], "step": 62, "ordinal_position": 63}, {"identifier": "I73", "position": [17, 13], "step": 63, "ordinal_position": 64}, {"identifier": "J96", "position": [17, 12], "step": 64, "ordinal_position": 65}, {"identifier": "R06", "position": [17, 11], "step": 65, "ordinal_position": 66}, {"identifier": "I65", "position": [18, 11], "step": 66, "ordinal_position": 67}, {"identifier": "M39", "position": [19, 11], "step": 67, "ordinal_position": 68}, {"identifier": "Q45", "position": [19, 12], "step": 68, "ordinal_position": 69}, {"identifier": "C92", "position": [19, 13], "step": 69, "ordinal_position": 70}, {"identifier": "G97", "position": [19, 14], "step": 70, "ordinal_position": 71}, {"identifier": "Z65", "position": [19, 15], "step": 71, "ordinal_position": 72}, {"identifier": "X80", "position": [18, 15], "step": 72, "ordinal_position": 73}, {"identifier": "X43", "position": [17, 15], "step": 73, "ordinal_position": 74}, {"identifier": "K62", "position": [17, 16], "step": 74, "ordinal_position": 75}, {"identifier": "F10", "position": [17, 17], "step": 75, "ordinal_position": 76}, {"identifier": "F12", "position": [18, 17], "step": 76, "ordinal_position": 77}, {"identifier": "W27", "position": [19, 17], "step": 77, "ordinal_position": 78}, {"identifier": "Q67", "position": [19, 18], "step": 78, "ordinal_position": 79}, {"identifier": "K26", "position": [19, 19], "step": 79, "ordinal_position": 80}, {"identifier": "W90", "position": [18, 19], "step": 80, "ordinal_position": 81}, {"identifier": "T33", "position": [17, 19], "step": 81, "ordinal_position": 82}, {"identifier": "I20", "position": [16, 19], "step": 82, "ordinal_position": 83}, {"identifier": "P25", "position": [15, 19], "step": 83, "ordinal_position": 84}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 84, "direction": "up", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_017.json"}} {"qa_id": "8243c240690d4a988785ee186350e801", "image_id": "L3-MazeLoop-test_21x21_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z07, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 165th position in this traversal?", "start_object_id": "Z07", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [165], "ordinal_strings": ["165th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "W06", "traversal_path": [{"identifier": "Z07", "position": [8, 11], "step": 0, "ordinal_position": 1}, {"identifier": "B12", "position": [7, 11], "step": 1, "ordinal_position": 2}, {"identifier": "P37", "position": [7, 10], "step": 2, "ordinal_position": 3}, {"identifier": "L82", "position": [7, 9], "step": 3, "ordinal_position": 4}, {"identifier": "W06", "position": [7, 8], "step": 4, "ordinal_position": 5}, {"identifier": "Z89", "position": [7, 7], "step": 5, "ordinal_position": 6}, {"identifier": "U67", "position": [6, 7], "step": 6, "ordinal_position": 7}, {"identifier": "R86", "position": [5, 7], "step": 7, "ordinal_position": 8}, {"identifier": "J32", "position": [5, 8], "step": 8, "ordinal_position": 9}, {"identifier": "M93", "position": [5, 9], "step": 9, "ordinal_position": 10}, {"identifier": "D59", "position": [5, 10], "step": 10, "ordinal_position": 11}, {"identifier": "X84", "position": [5, 11], "step": 11, "ordinal_position": 12}, {"identifier": "T14", "position": [5, 12], "step": 12, "ordinal_position": 13}, {"identifier": "N89", "position": [5, 13], "step": 13, "ordinal_position": 14}, {"identifier": "I14", "position": [6, 13], "step": 14, "ordinal_position": 15}, {"identifier": "K54", "position": [7, 13], "step": 15, "ordinal_position": 16}, {"identifier": "W08", "position": [7, 12], "step": 16, "ordinal_position": 17}, {"identifier": "B12", "position": [7, 11], "step": 17, "ordinal_position": 18}, {"identifier": "P37", "position": [7, 10], "step": 18, "ordinal_position": 19}, {"identifier": "L82", "position": [7, 9], "step": 19, "ordinal_position": 20}, {"identifier": "W06", "position": [7, 8], "step": 20, "ordinal_position": 21}, {"identifier": "Z89", "position": [7, 7], "step": 21, "ordinal_position": 22}, {"identifier": "U67", "position": [6, 7], "step": 22, "ordinal_position": 23}, {"identifier": "R86", "position": [5, 7], "step": 23, "ordinal_position": 24}, {"identifier": "J32", "position": [5, 8], "step": 24, "ordinal_position": 25}, {"identifier": "M93", "position": [5, 9], "step": 25, "ordinal_position": 26}, {"identifier": "D59", "position": [5, 10], "step": 26, "ordinal_position": 27}, {"identifier": "X84", "position": [5, 11], "step": 27, "ordinal_position": 28}, {"identifier": "T14", "position": [5, 12], "step": 28, "ordinal_position": 29}, {"identifier": "N89", "position": [5, 13], "step": 29, "ordinal_position": 30}, {"identifier": "I14", "position": [6, 13], "step": 30, "ordinal_position": 31}, {"identifier": "K54", "position": [7, 13], "step": 31, "ordinal_position": 32}, {"identifier": "W08", "position": [7, 12], "step": 32, "ordinal_position": 33}, {"identifier": "B12", "position": [7, 11], "step": 33, "ordinal_position": 34}, {"identifier": "P37", "position": [7, 10], "step": 34, "ordinal_position": 35}, {"identifier": "L82", "position": [7, 9], "step": 35, "ordinal_position": 36}, {"identifier": "W06", "position": [7, 8], "step": 36, "ordinal_position": 37}, {"identifier": "Z89", "position": [7, 7], "step": 37, "ordinal_position": 38}, {"identifier": "U67", "position": [6, 7], "step": 38, "ordinal_position": 39}, {"identifier": "R86", "position": [5, 7], "step": 39, "ordinal_position": 40}, {"identifier": "J32", "position": [5, 8], "step": 40, "ordinal_position": 41}, {"identifier": "M93", "position": [5, 9], "step": 41, "ordinal_position": 42}, {"identifier": "D59", "position": [5, 10], "step": 42, "ordinal_position": 43}, {"identifier": "X84", "position": [5, 11], "step": 43, "ordinal_position": 44}, {"identifier": "T14", "position": [5, 12], "step": 44, "ordinal_position": 45}, {"identifier": "N89", "position": [5, 13], "step": 45, "ordinal_position": 46}, {"identifier": "I14", "position": [6, 13], "step": 46, "ordinal_position": 47}, {"identifier": "K54", "position": [7, 13], "step": 47, "ordinal_position": 48}, {"identifier": "W08", "position": [7, 12], "step": 48, "ordinal_position": 49}, {"identifier": "B12", "position": [7, 11], "step": 49, "ordinal_position": 50}, {"identifier": "P37", "position": [7, 10], "step": 50, "ordinal_position": 51}, {"identifier": "L82", "position": [7, 9], "step": 51, "ordinal_position": 52}, {"identifier": "W06", "position": [7, 8], "step": 52, "ordinal_position": 53}, {"identifier": "Z89", "position": [7, 7], "step": 53, "ordinal_position": 54}, {"identifier": "U67", "position": [6, 7], "step": 54, "ordinal_position": 55}, {"identifier": "R86", "position": [5, 7], "step": 55, "ordinal_position": 56}, {"identifier": "J32", "position": [5, 8], "step": 56, "ordinal_position": 57}, {"identifier": "M93", "position": [5, 9], "step": 57, "ordinal_position": 58}, {"identifier": "D59", "position": [5, 10], "step": 58, "ordinal_position": 59}, {"identifier": "X84", "position": [5, 11], "step": 59, "ordinal_position": 60}, {"identifier": "T14", "position": [5, 12], "step": 60, "ordinal_position": 61}, {"identifier": "N89", "position": [5, 13], "step": 61, "ordinal_position": 62}, {"identifier": "I14", "position": [6, 13], "step": 62, "ordinal_position": 63}, {"identifier": "K54", "position": [7, 13], "step": 63, "ordinal_position": 64}, {"identifier": "W08", "position": [7, 12], "step": 64, "ordinal_position": 65}, {"identifier": "B12", "position": [7, 11], "step": 65, "ordinal_position": 66}, {"identifier": "P37", "position": [7, 10], "step": 66, "ordinal_position": 67}, {"identifier": "L82", "position": [7, 9], "step": 67, "ordinal_position": 68}, {"identifier": "W06", "position": [7, 8], "step": 68, "ordinal_position": 69}, {"identifier": "Z89", "position": [7, 7], "step": 69, "ordinal_position": 70}, {"identifier": "U67", "position": [6, 7], "step": 70, "ordinal_position": 71}, {"identifier": "R86", "position": [5, 7], "step": 71, "ordinal_position": 72}, {"identifier": "J32", "position": [5, 8], "step": 72, "ordinal_position": 73}, {"identifier": "M93", "position": [5, 9], "step": 73, "ordinal_position": 74}, {"identifier": "D59", "position": [5, 10], "step": 74, "ordinal_position": 75}, {"identifier": "X84", "position": [5, 11], "step": 75, "ordinal_position": 76}, {"identifier": "T14", "position": [5, 12], "step": 76, "ordinal_position": 77}, {"identifier": "N89", "position": [5, 13], "step": 77, "ordinal_position": 78}, {"identifier": "I14", "position": [6, 13], "step": 78, "ordinal_position": 79}, {"identifier": "K54", "position": [7, 13], "step": 79, "ordinal_position": 80}, {"identifier": "W08", "position": [7, 12], "step": 80, "ordinal_position": 81}, {"identifier": "B12", "position": [7, 11], "step": 81, "ordinal_position": 82}, {"identifier": "P37", "position": [7, 10], "step": 82, "ordinal_position": 83}, {"identifier": "L82", "position": [7, 9], "step": 83, "ordinal_position": 84}, {"identifier": "W06", "position": [7, 8], "step": 84, "ordinal_position": 85}, {"identifier": "Z89", "position": [7, 7], "step": 85, "ordinal_position": 86}, {"identifier": "U67", "position": [6, 7], "step": 86, "ordinal_position": 87}, {"identifier": "R86", "position": [5, 7], "step": 87, "ordinal_position": 88}, {"identifier": "J32", "position": [5, 8], "step": 88, "ordinal_position": 89}, {"identifier": "M93", "position": [5, 9], "step": 89, "ordinal_position": 90}, {"identifier": "D59", "position": [5, 10], "step": 90, "ordinal_position": 91}, {"identifier": "X84", "position": [5, 11], "step": 91, "ordinal_position": 92}, {"identifier": "T14", "position": [5, 12], "step": 92, "ordinal_position": 93}, {"identifier": "N89", "position": [5, 13], "step": 93, "ordinal_position": 94}, {"identifier": "I14", "position": [6, 13], "step": 94, "ordinal_position": 95}, {"identifier": "K54", "position": [7, 13], "step": 95, "ordinal_position": 96}, {"identifier": "W08", "position": [7, 12], "step": 96, "ordinal_position": 97}, {"identifier": "B12", "position": [7, 11], "step": 97, "ordinal_position": 98}, {"identifier": "P37", "position": [7, 10], "step": 98, "ordinal_position": 99}, {"identifier": "L82", "position": [7, 9], "step": 99, "ordinal_position": 100}, {"identifier": "W06", "position": [7, 8], "step": 100, "ordinal_position": 101}, {"identifier": "Z89", "position": [7, 7], "step": 101, "ordinal_position": 102}, {"identifier": "U67", "position": [6, 7], "step": 102, "ordinal_position": 103}, {"identifier": "R86", "position": [5, 7], "step": 103, "ordinal_position": 104}, {"identifier": "J32", "position": [5, 8], "step": 104, "ordinal_position": 105}, {"identifier": "M93", "position": [5, 9], "step": 105, "ordinal_position": 106}, {"identifier": "D59", "position": [5, 10], "step": 106, "ordinal_position": 107}, {"identifier": "X84", "position": [5, 11], "step": 107, "ordinal_position": 108}, {"identifier": "T14", "position": [5, 12], "step": 108, "ordinal_position": 109}, {"identifier": "N89", "position": [5, 13], "step": 109, "ordinal_position": 110}, {"identifier": "I14", "position": [6, 13], "step": 110, "ordinal_position": 111}, {"identifier": "K54", "position": [7, 13], "step": 111, "ordinal_position": 112}, {"identifier": "W08", "position": [7, 12], "step": 112, "ordinal_position": 113}, {"identifier": "B12", "position": [7, 11], "step": 113, "ordinal_position": 114}, {"identifier": "P37", "position": [7, 10], "step": 114, "ordinal_position": 115}, {"identifier": "L82", "position": [7, 9], "step": 115, "ordinal_position": 116}, {"identifier": "W06", "position": [7, 8], "step": 116, "ordinal_position": 117}, {"identifier": "Z89", "position": [7, 7], "step": 117, "ordinal_position": 118}, {"identifier": "U67", "position": [6, 7], "step": 118, "ordinal_position": 119}, {"identifier": "R86", "position": [5, 7], "step": 119, "ordinal_position": 120}, {"identifier": "J32", "position": [5, 8], "step": 120, "ordinal_position": 121}, {"identifier": "M93", "position": [5, 9], "step": 121, "ordinal_position": 122}, {"identifier": "D59", "position": [5, 10], "step": 122, "ordinal_position": 123}, {"identifier": "X84", "position": [5, 11], "step": 123, "ordinal_position": 124}, {"identifier": "T14", "position": [5, 12], "step": 124, "ordinal_position": 125}, {"identifier": "N89", "position": [5, 13], "step": 125, "ordinal_position": 126}, {"identifier": "I14", "position": [6, 13], "step": 126, "ordinal_position": 127}, {"identifier": "K54", "position": [7, 13], "step": 127, "ordinal_position": 128}, {"identifier": "W08", "position": [7, 12], "step": 128, "ordinal_position": 129}, {"identifier": "B12", "position": [7, 11], "step": 129, "ordinal_position": 130}, {"identifier": "P37", "position": [7, 10], "step": 130, "ordinal_position": 131}, {"identifier": "L82", "position": [7, 9], "step": 131, "ordinal_position": 132}, {"identifier": "W06", "position": [7, 8], "step": 132, "ordinal_position": 133}, {"identifier": "Z89", "position": [7, 7], "step": 133, "ordinal_position": 134}, {"identifier": "U67", "position": [6, 7], "step": 134, "ordinal_position": 135}, {"identifier": "R86", "position": [5, 7], "step": 135, "ordinal_position": 136}, {"identifier": "J32", "position": [5, 8], "step": 136, "ordinal_position": 137}, {"identifier": "M93", "position": [5, 9], "step": 137, "ordinal_position": 138}, {"identifier": "D59", "position": [5, 10], "step": 138, "ordinal_position": 139}, {"identifier": "X84", "position": [5, 11], "step": 139, "ordinal_position": 140}, {"identifier": "T14", "position": [5, 12], "step": 140, "ordinal_position": 141}, {"identifier": "N89", "position": [5, 13], "step": 141, "ordinal_position": 142}, {"identifier": "I14", "position": [6, 13], "step": 142, "ordinal_position": 143}, {"identifier": "K54", "position": [7, 13], "step": 143, "ordinal_position": 144}, {"identifier": "W08", "position": [7, 12], "step": 144, "ordinal_position": 145}, {"identifier": "B12", "position": [7, 11], "step": 145, "ordinal_position": 146}, {"identifier": "P37", "position": [7, 10], "step": 146, "ordinal_position": 147}, {"identifier": "L82", "position": [7, 9], "step": 147, "ordinal_position": 148}, {"identifier": "W06", "position": [7, 8], "step": 148, "ordinal_position": 149}, {"identifier": "Z89", "position": [7, 7], "step": 149, "ordinal_position": 150}, {"identifier": "U67", "position": [6, 7], "step": 150, "ordinal_position": 151}, {"identifier": "R86", "position": [5, 7], "step": 151, "ordinal_position": 152}, {"identifier": "J32", "position": [5, 8], "step": 152, "ordinal_position": 153}, {"identifier": "M93", "position": [5, 9], "step": 153, "ordinal_position": 154}, {"identifier": "D59", "position": [5, 10], "step": 154, "ordinal_position": 155}, {"identifier": "X84", "position": [5, 11], "step": 155, "ordinal_position": 156}, {"identifier": "T14", "position": [5, 12], "step": 156, "ordinal_position": 157}, {"identifier": "N89", "position": [5, 13], "step": 157, "ordinal_position": 158}, {"identifier": "I14", "position": [6, 13], "step": 158, "ordinal_position": 159}, {"identifier": "K54", "position": [7, 13], "step": 159, "ordinal_position": 160}, {"identifier": "W08", "position": [7, 12], "step": 160, "ordinal_position": 161}, {"identifier": "B12", "position": [7, 11], "step": 161, "ordinal_position": 162}, {"identifier": "P37", "position": [7, 10], "step": 162, "ordinal_position": 163}, {"identifier": "L82", "position": [7, 9], "step": 163, "ordinal_position": 164}, {"identifier": "W06", "position": [7, 8], "step": 164, "ordinal_position": 165}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 165, "direction": "left", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_017.json"}} {"qa_id": "8d3e904af1484c56a38da4f379d081e6", "image_id": "L3-MazeLoop-test_21x21_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled N69, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 243rd position in this traversal?", "start_object_id": "N69", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [243], "ordinal_strings": ["243rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "P37", "traversal_path": [{"identifier": "N69", "position": [17, 6], "step": 0, "ordinal_position": 1}, {"identifier": "K23", "position": [17, 5], "step": 1, "ordinal_position": 2}, {"identifier": "N46", "position": [18, 5], "step": 2, "ordinal_position": 3}, {"identifier": "A33", "position": [19, 5], "step": 3, "ordinal_position": 4}, {"identifier": "G12", "position": [19, 4], "step": 4, "ordinal_position": 5}, {"identifier": "G31", "position": [19, 3], "step": 5, "ordinal_position": 6}, {"identifier": "H82", "position": [19, 2], "step": 6, "ordinal_position": 7}, {"identifier": "B07", "position": [19, 1], "step": 7, "ordinal_position": 8}, {"identifier": "H75", "position": [18, 1], "step": 8, "ordinal_position": 9}, {"identifier": "F87", "position": [17, 1], "step": 9, "ordinal_position": 10}, {"identifier": "X92", "position": [16, 1], "step": 10, "ordinal_position": 11}, {"identifier": "E26", "position": [15, 1], "step": 11, "ordinal_position": 12}, {"identifier": "A48", "position": [14, 1], "step": 12, "ordinal_position": 13}, {"identifier": "I33", "position": [13, 1], "step": 13, "ordinal_position": 14}, {"identifier": "R92", "position": [12, 1], "step": 14, "ordinal_position": 15}, {"identifier": "I75", "position": [11, 1], "step": 15, "ordinal_position": 16}, {"identifier": "U30", "position": [10, 1], "step": 16, "ordinal_position": 17}, {"identifier": "V20", "position": [9, 1], "step": 17, "ordinal_position": 18}, {"identifier": "K94", "position": [8, 1], "step": 18, "ordinal_position": 19}, {"identifier": "P80", "position": [7, 1], "step": 19, "ordinal_position": 20}, {"identifier": "R53", "position": [6, 1], "step": 20, "ordinal_position": 21}, {"identifier": "C46", "position": [5, 1], "step": 21, "ordinal_position": 22}, {"identifier": "R22", "position": [4, 1], "step": 22, "ordinal_position": 23}, {"identifier": "D54", "position": [3, 1], "step": 23, "ordinal_position": 24}, {"identifier": "L06", "position": [2, 1], "step": 24, "ordinal_position": 25}, {"identifier": "T32", "position": [1, 1], "step": 25, "ordinal_position": 26}, {"identifier": "U20", "position": [1, 2], "step": 26, "ordinal_position": 27}, {"identifier": "F21", "position": [1, 3], "step": 27, "ordinal_position": 28}, {"identifier": "C12", "position": [1, 4], "step": 28, "ordinal_position": 29}, {"identifier": "E07", "position": [1, 5], "step": 29, "ordinal_position": 30}, {"identifier": "R63", "position": [1, 6], "step": 30, "ordinal_position": 31}, {"identifier": "N17", "position": [1, 7], "step": 31, "ordinal_position": 32}, {"identifier": "I72", "position": [1, 8], "step": 32, "ordinal_position": 33}, {"identifier": "R49", "position": [1, 9], "step": 33, "ordinal_position": 34}, {"identifier": "D40", "position": [2, 9], "step": 34, "ordinal_position": 35}, {"identifier": "M62", "position": [3, 9], "step": 35, "ordinal_position": 36}, {"identifier": "Y75", "position": [3, 8], "step": 36, "ordinal_position": 37}, {"identifier": "W41", "position": [3, 7], "step": 37, "ordinal_position": 38}, {"identifier": "N72", "position": [3, 6], "step": 38, "ordinal_position": 39}, {"identifier": "H70", "position": [3, 5], "step": 39, "ordinal_position": 40}, {"identifier": "D01", "position": [4, 5], "step": 40, "ordinal_position": 41}, {"identifier": "M05", "position": [5, 5], "step": 41, "ordinal_position": 42}, {"identifier": "N81", "position": [6, 5], "step": 42, "ordinal_position": 43}, {"identifier": "V05", "position": [7, 5], "step": 43, "ordinal_position": 44}, {"identifier": "U50", "position": [8, 5], "step": 44, "ordinal_position": 45}, {"identifier": "G18", "position": [9, 5], "step": 45, "ordinal_position": 46}, {"identifier": "P12", "position": [9, 6], "step": 46, "ordinal_position": 47}, {"identifier": "H10", "position": [9, 7], "step": 47, "ordinal_position": 48}, {"identifier": "V43", "position": [9, 8], "step": 48, "ordinal_position": 49}, {"identifier": "B24", "position": [9, 9], "step": 49, "ordinal_position": 50}, {"identifier": "Z62", "position": [8, 9], "step": 50, "ordinal_position": 51}, {"identifier": "L82", "position": [7, 9], "step": 51, "ordinal_position": 52}, {"identifier": "W06", "position": [7, 8], "step": 52, "ordinal_position": 53}, {"identifier": "Z89", "position": [7, 7], "step": 53, "ordinal_position": 54}, {"identifier": "U67", "position": [6, 7], "step": 54, "ordinal_position": 55}, {"identifier": "R86", "position": [5, 7], "step": 55, "ordinal_position": 56}, {"identifier": "J32", "position": [5, 8], "step": 56, "ordinal_position": 57}, {"identifier": "M93", "position": [5, 9], "step": 57, "ordinal_position": 58}, {"identifier": "D59", "position": [5, 10], "step": 58, "ordinal_position": 59}, {"identifier": "X84", "position": [5, 11], "step": 59, "ordinal_position": 60}, {"identifier": "T14", "position": [5, 12], "step": 60, "ordinal_position": 61}, {"identifier": "N89", "position": [5, 13], "step": 61, "ordinal_position": 62}, {"identifier": "I14", "position": [6, 13], "step": 62, "ordinal_position": 63}, {"identifier": "K54", "position": [7, 13], "step": 63, "ordinal_position": 64}, {"identifier": "W08", "position": [7, 12], "step": 64, "ordinal_position": 65}, {"identifier": "B12", "position": [7, 11], "step": 65, "ordinal_position": 66}, {"identifier": "P37", "position": [7, 10], "step": 66, "ordinal_position": 67}, {"identifier": "L82", "position": [7, 9], "step": 67, "ordinal_position": 68}, {"identifier": "W06", "position": [7, 8], "step": 68, "ordinal_position": 69}, {"identifier": "Z89", "position": [7, 7], "step": 69, "ordinal_position": 70}, {"identifier": "U67", "position": [6, 7], "step": 70, "ordinal_position": 71}, {"identifier": "R86", "position": [5, 7], "step": 71, "ordinal_position": 72}, {"identifier": "J32", "position": [5, 8], "step": 72, "ordinal_position": 73}, {"identifier": "M93", "position": [5, 9], "step": 73, "ordinal_position": 74}, {"identifier": "D59", "position": [5, 10], "step": 74, "ordinal_position": 75}, {"identifier": "X84", "position": [5, 11], "step": 75, "ordinal_position": 76}, {"identifier": "T14", "position": [5, 12], "step": 76, "ordinal_position": 77}, {"identifier": "N89", "position": [5, 13], "step": 77, "ordinal_position": 78}, {"identifier": "I14", "position": [6, 13], "step": 78, "ordinal_position": 79}, {"identifier": "K54", "position": [7, 13], "step": 79, "ordinal_position": 80}, {"identifier": "W08", "position": [7, 12], "step": 80, "ordinal_position": 81}, {"identifier": "B12", "position": [7, 11], "step": 81, "ordinal_position": 82}, {"identifier": "P37", "position": [7, 10], "step": 82, "ordinal_position": 83}, {"identifier": "L82", "position": [7, 9], "step": 83, "ordinal_position": 84}, {"identifier": "W06", "position": [7, 8], "step": 84, "ordinal_position": 85}, {"identifier": "Z89", "position": [7, 7], "step": 85, "ordinal_position": 86}, {"identifier": "U67", "position": [6, 7], "step": 86, "ordinal_position": 87}, {"identifier": "R86", "position": [5, 7], "step": 87, "ordinal_position": 88}, {"identifier": "J32", "position": [5, 8], "step": 88, "ordinal_position": 89}, {"identifier": "M93", "position": [5, 9], "step": 89, "ordinal_position": 90}, {"identifier": "D59", "position": [5, 10], "step": 90, "ordinal_position": 91}, {"identifier": "X84", "position": [5, 11], "step": 91, "ordinal_position": 92}, {"identifier": "T14", "position": [5, 12], "step": 92, "ordinal_position": 93}, {"identifier": "N89", "position": [5, 13], "step": 93, "ordinal_position": 94}, {"identifier": "I14", "position": [6, 13], "step": 94, "ordinal_position": 95}, {"identifier": "K54", "position": [7, 13], "step": 95, "ordinal_position": 96}, {"identifier": "W08", "position": [7, 12], "step": 96, "ordinal_position": 97}, {"identifier": "B12", "position": [7, 11], "step": 97, "ordinal_position": 98}, {"identifier": "P37", "position": [7, 10], "step": 98, "ordinal_position": 99}, {"identifier": "L82", "position": [7, 9], "step": 99, "ordinal_position": 100}, {"identifier": "W06", "position": [7, 8], "step": 100, "ordinal_position": 101}, {"identifier": "Z89", "position": [7, 7], "step": 101, "ordinal_position": 102}, {"identifier": "U67", "position": [6, 7], "step": 102, "ordinal_position": 103}, {"identifier": "R86", "position": [5, 7], "step": 103, "ordinal_position": 104}, {"identifier": "J32", "position": [5, 8], "step": 104, "ordinal_position": 105}, {"identifier": "M93", "position": [5, 9], "step": 105, "ordinal_position": 106}, {"identifier": "D59", "position": [5, 10], "step": 106, "ordinal_position": 107}, {"identifier": "X84", "position": [5, 11], "step": 107, "ordinal_position": 108}, {"identifier": "T14", "position": [5, 12], "step": 108, "ordinal_position": 109}, {"identifier": "N89", "position": [5, 13], "step": 109, "ordinal_position": 110}, {"identifier": "I14", "position": [6, 13], "step": 110, "ordinal_position": 111}, {"identifier": "K54", "position": [7, 13], "step": 111, "ordinal_position": 112}, {"identifier": "W08", "position": [7, 12], "step": 112, "ordinal_position": 113}, {"identifier": "B12", "position": [7, 11], "step": 113, "ordinal_position": 114}, {"identifier": "P37", "position": [7, 10], "step": 114, "ordinal_position": 115}, {"identifier": "L82", "position": [7, 9], "step": 115, "ordinal_position": 116}, {"identifier": "W06", "position": [7, 8], "step": 116, "ordinal_position": 117}, {"identifier": "Z89", "position": [7, 7], "step": 117, "ordinal_position": 118}, {"identifier": "U67", "position": [6, 7], "step": 118, "ordinal_position": 119}, {"identifier": "R86", "position": [5, 7], "step": 119, "ordinal_position": 120}, {"identifier": "J32", "position": [5, 8], "step": 120, "ordinal_position": 121}, {"identifier": "M93", "position": [5, 9], "step": 121, "ordinal_position": 122}, {"identifier": "D59", "position": [5, 10], "step": 122, "ordinal_position": 123}, {"identifier": "X84", "position": [5, 11], "step": 123, "ordinal_position": 124}, {"identifier": "T14", "position": [5, 12], "step": 124, "ordinal_position": 125}, {"identifier": "N89", "position": [5, 13], "step": 125, "ordinal_position": 126}, {"identifier": "I14", "position": [6, 13], "step": 126, "ordinal_position": 127}, {"identifier": "K54", "position": [7, 13], "step": 127, "ordinal_position": 128}, {"identifier": "W08", "position": [7, 12], "step": 128, "ordinal_position": 129}, {"identifier": "B12", "position": [7, 11], "step": 129, "ordinal_position": 130}, {"identifier": "P37", "position": [7, 10], "step": 130, "ordinal_position": 131}, {"identifier": "L82", "position": [7, 9], "step": 131, "ordinal_position": 132}, {"identifier": "W06", "position": [7, 8], "step": 132, "ordinal_position": 133}, {"identifier": "Z89", "position": [7, 7], "step": 133, "ordinal_position": 134}, {"identifier": "U67", "position": [6, 7], "step": 134, "ordinal_position": 135}, {"identifier": "R86", "position": [5, 7], "step": 135, "ordinal_position": 136}, {"identifier": "J32", "position": [5, 8], "step": 136, "ordinal_position": 137}, {"identifier": "M93", "position": [5, 9], "step": 137, "ordinal_position": 138}, {"identifier": "D59", "position": [5, 10], "step": 138, "ordinal_position": 139}, {"identifier": "X84", "position": [5, 11], "step": 139, "ordinal_position": 140}, {"identifier": "T14", "position": [5, 12], "step": 140, "ordinal_position": 141}, {"identifier": "N89", "position": [5, 13], "step": 141, "ordinal_position": 142}, {"identifier": "I14", "position": [6, 13], "step": 142, "ordinal_position": 143}, {"identifier": "K54", "position": [7, 13], "step": 143, "ordinal_position": 144}, {"identifier": "W08", "position": [7, 12], "step": 144, "ordinal_position": 145}, {"identifier": "B12", "position": [7, 11], "step": 145, "ordinal_position": 146}, {"identifier": "P37", "position": [7, 10], "step": 146, "ordinal_position": 147}, {"identifier": "L82", "position": [7, 9], "step": 147, "ordinal_position": 148}, {"identifier": "W06", "position": [7, 8], "step": 148, "ordinal_position": 149}, {"identifier": "Z89", "position": [7, 7], "step": 149, "ordinal_position": 150}, {"identifier": "U67", "position": [6, 7], "step": 150, "ordinal_position": 151}, {"identifier": "R86", "position": [5, 7], "step": 151, "ordinal_position": 152}, {"identifier": "J32", "position": [5, 8], "step": 152, "ordinal_position": 153}, {"identifier": "M93", "position": [5, 9], "step": 153, "ordinal_position": 154}, {"identifier": "D59", "position": [5, 10], "step": 154, "ordinal_position": 155}, {"identifier": "X84", "position": [5, 11], "step": 155, "ordinal_position": 156}, {"identifier": "T14", "position": [5, 12], "step": 156, "ordinal_position": 157}, {"identifier": "N89", "position": [5, 13], "step": 157, "ordinal_position": 158}, {"identifier": "I14", "position": [6, 13], "step": 158, "ordinal_position": 159}, {"identifier": "K54", "position": [7, 13], "step": 159, "ordinal_position": 160}, {"identifier": "W08", "position": [7, 12], "step": 160, "ordinal_position": 161}, {"identifier": "B12", "position": [7, 11], "step": 161, "ordinal_position": 162}, {"identifier": "P37", "position": [7, 10], "step": 162, "ordinal_position": 163}, {"identifier": "L82", "position": [7, 9], "step": 163, "ordinal_position": 164}, {"identifier": "W06", "position": [7, 8], "step": 164, "ordinal_position": 165}, {"identifier": "Z89", "position": [7, 7], "step": 165, "ordinal_position": 166}, {"identifier": "U67", "position": [6, 7], "step": 166, "ordinal_position": 167}, {"identifier": "R86", "position": [5, 7], "step": 167, "ordinal_position": 168}, {"identifier": "J32", "position": [5, 8], "step": 168, "ordinal_position": 169}, {"identifier": "M93", "position": [5, 9], "step": 169, "ordinal_position": 170}, {"identifier": "D59", "position": [5, 10], "step": 170, "ordinal_position": 171}, {"identifier": "X84", "position": [5, 11], "step": 171, "ordinal_position": 172}, {"identifier": "T14", "position": [5, 12], "step": 172, "ordinal_position": 173}, {"identifier": "N89", "position": [5, 13], "step": 173, "ordinal_position": 174}, {"identifier": "I14", "position": [6, 13], "step": 174, "ordinal_position": 175}, {"identifier": "K54", "position": [7, 13], "step": 175, "ordinal_position": 176}, {"identifier": "W08", "position": [7, 12], "step": 176, "ordinal_position": 177}, {"identifier": "B12", "position": [7, 11], "step": 177, "ordinal_position": 178}, {"identifier": "P37", "position": [7, 10], "step": 178, "ordinal_position": 179}, {"identifier": "L82", "position": [7, 9], "step": 179, "ordinal_position": 180}, {"identifier": "W06", "position": [7, 8], "step": 180, "ordinal_position": 181}, {"identifier": "Z89", "position": [7, 7], "step": 181, "ordinal_position": 182}, {"identifier": "U67", "position": [6, 7], "step": 182, "ordinal_position": 183}, {"identifier": "R86", "position": [5, 7], "step": 183, "ordinal_position": 184}, {"identifier": "J32", "position": [5, 8], "step": 184, "ordinal_position": 185}, {"identifier": "M93", "position": [5, 9], "step": 185, "ordinal_position": 186}, {"identifier": "D59", "position": [5, 10], "step": 186, "ordinal_position": 187}, {"identifier": "X84", "position": [5, 11], "step": 187, "ordinal_position": 188}, {"identifier": "T14", "position": [5, 12], "step": 188, "ordinal_position": 189}, {"identifier": "N89", "position": [5, 13], "step": 189, "ordinal_position": 190}, {"identifier": "I14", "position": [6, 13], "step": 190, "ordinal_position": 191}, {"identifier": "K54", "position": [7, 13], "step": 191, "ordinal_position": 192}, {"identifier": "W08", "position": [7, 12], "step": 192, "ordinal_position": 193}, {"identifier": "B12", "position": [7, 11], "step": 193, "ordinal_position": 194}, {"identifier": "P37", "position": [7, 10], "step": 194, "ordinal_position": 195}, {"identifier": "L82", "position": [7, 9], "step": 195, "ordinal_position": 196}, {"identifier": "W06", "position": [7, 8], "step": 196, "ordinal_position": 197}, {"identifier": "Z89", "position": [7, 7], "step": 197, "ordinal_position": 198}, {"identifier": "U67", "position": [6, 7], "step": 198, "ordinal_position": 199}, {"identifier": "R86", "position": [5, 7], "step": 199, "ordinal_position": 200}, {"identifier": "J32", "position": [5, 8], "step": 200, "ordinal_position": 201}, {"identifier": "M93", "position": [5, 9], "step": 201, "ordinal_position": 202}, {"identifier": "D59", "position": [5, 10], "step": 202, "ordinal_position": 203}, {"identifier": "X84", "position": [5, 11], "step": 203, "ordinal_position": 204}, {"identifier": "T14", "position": [5, 12], "step": 204, "ordinal_position": 205}, {"identifier": "N89", "position": [5, 13], "step": 205, "ordinal_position": 206}, {"identifier": "I14", "position": [6, 13], "step": 206, "ordinal_position": 207}, {"identifier": "K54", "position": [7, 13], "step": 207, "ordinal_position": 208}, {"identifier": "W08", "position": [7, 12], "step": 208, "ordinal_position": 209}, {"identifier": "B12", "position": [7, 11], "step": 209, "ordinal_position": 210}, {"identifier": "P37", "position": [7, 10], "step": 210, "ordinal_position": 211}, {"identifier": "L82", "position": [7, 9], "step": 211, "ordinal_position": 212}, {"identifier": "W06", "position": [7, 8], "step": 212, "ordinal_position": 213}, {"identifier": "Z89", "position": [7, 7], "step": 213, "ordinal_position": 214}, {"identifier": "U67", "position": [6, 7], "step": 214, "ordinal_position": 215}, {"identifier": "R86", "position": [5, 7], "step": 215, "ordinal_position": 216}, {"identifier": "J32", "position": [5, 8], "step": 216, "ordinal_position": 217}, {"identifier": "M93", "position": [5, 9], "step": 217, "ordinal_position": 218}, {"identifier": "D59", "position": [5, 10], "step": 218, "ordinal_position": 219}, {"identifier": "X84", "position": [5, 11], "step": 219, "ordinal_position": 220}, {"identifier": "T14", "position": [5, 12], "step": 220, "ordinal_position": 221}, {"identifier": "N89", "position": [5, 13], "step": 221, "ordinal_position": 222}, {"identifier": "I14", "position": [6, 13], "step": 222, "ordinal_position": 223}, {"identifier": "K54", "position": [7, 13], "step": 223, "ordinal_position": 224}, {"identifier": "W08", "position": [7, 12], "step": 224, "ordinal_position": 225}, {"identifier": "B12", "position": [7, 11], "step": 225, "ordinal_position": 226}, {"identifier": "P37", "position": [7, 10], "step": 226, "ordinal_position": 227}, {"identifier": "L82", "position": [7, 9], "step": 227, "ordinal_position": 228}, {"identifier": "W06", "position": [7, 8], "step": 228, "ordinal_position": 229}, {"identifier": "Z89", "position": [7, 7], "step": 229, "ordinal_position": 230}, {"identifier": "U67", "position": [6, 7], "step": 230, "ordinal_position": 231}, {"identifier": "R86", "position": [5, 7], "step": 231, "ordinal_position": 232}, {"identifier": "J32", "position": [5, 8], "step": 232, "ordinal_position": 233}, {"identifier": "M93", "position": [5, 9], "step": 233, "ordinal_position": 234}, {"identifier": "D59", "position": [5, 10], "step": 234, "ordinal_position": 235}, {"identifier": "X84", "position": [5, 11], "step": 235, "ordinal_position": 236}, {"identifier": "T14", "position": [5, 12], "step": 236, "ordinal_position": 237}, {"identifier": "N89", "position": [5, 13], "step": 237, "ordinal_position": 238}, {"identifier": "I14", "position": [6, 13], "step": 238, "ordinal_position": 239}, {"identifier": "K54", "position": [7, 13], "step": 239, "ordinal_position": 240}, {"identifier": "W08", "position": [7, 12], "step": 240, "ordinal_position": 241}, {"identifier": "B12", "position": [7, 11], "step": 241, "ordinal_position": 242}, {"identifier": "P37", "position": [7, 10], "step": 242, "ordinal_position": 243}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 243, "direction": "up", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_017.json"}} {"qa_id": "d3a896fc05e44b038c44f8bf5c81a69b", "image_id": "L3-MazeLoop-test_21x21_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled J09, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 246th position in this traversal?", "start_object_id": "J09", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [246], "ordinal_strings": ["246th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "N32", "traversal_path": [{"identifier": "J09", "position": [12, 19], "step": 0, "ordinal_position": 1}, {"identifier": "V10", "position": [13, 19], "step": 1, "ordinal_position": 2}, {"identifier": "L81", "position": [14, 19], "step": 2, "ordinal_position": 3}, {"identifier": "P25", "position": [15, 19], "step": 3, "ordinal_position": 4}, {"identifier": "I20", "position": [16, 19], "step": 4, "ordinal_position": 5}, {"identifier": "T33", "position": [17, 19], "step": 5, "ordinal_position": 6}, {"identifier": "W90", "position": [18, 19], "step": 6, "ordinal_position": 7}, {"identifier": "K26", "position": [19, 19], "step": 7, "ordinal_position": 8}, {"identifier": "Q67", "position": [19, 18], "step": 8, "ordinal_position": 9}, {"identifier": "W27", "position": [19, 17], "step": 9, "ordinal_position": 10}, {"identifier": "F12", "position": [18, 17], "step": 10, "ordinal_position": 11}, {"identifier": "F10", "position": [17, 17], "step": 11, "ordinal_position": 12}, {"identifier": "K62", "position": [17, 16], "step": 12, "ordinal_position": 13}, {"identifier": "X43", "position": [17, 15], "step": 13, "ordinal_position": 14}, {"identifier": "X80", "position": [18, 15], "step": 14, "ordinal_position": 15}, {"identifier": "Z65", "position": [19, 15], "step": 15, "ordinal_position": 16}, {"identifier": "G97", "position": [19, 14], "step": 16, "ordinal_position": 17}, {"identifier": "C92", "position": [19, 13], "step": 17, "ordinal_position": 18}, {"identifier": "Q45", "position": [19, 12], "step": 18, "ordinal_position": 19}, {"identifier": "M39", "position": [19, 11], "step": 19, "ordinal_position": 20}, {"identifier": "I65", "position": [18, 11], "step": 20, "ordinal_position": 21}, {"identifier": "R06", "position": [17, 11], "step": 21, "ordinal_position": 22}, {"identifier": "J96", "position": [17, 12], "step": 22, "ordinal_position": 23}, {"identifier": "I73", "position": [17, 13], "step": 23, "ordinal_position": 24}, {"identifier": "T83", "position": [16, 13], "step": 24, "ordinal_position": 25}, {"identifier": "V97", "position": [15, 13], "step": 25, "ordinal_position": 26}, {"identifier": "V53", "position": [15, 12], "step": 26, "ordinal_position": 27}, {"identifier": "A28", "position": [15, 11], "step": 27, "ordinal_position": 28}, {"identifier": "T77", "position": [15, 10], "step": 28, "ordinal_position": 29}, {"identifier": "D31", "position": [15, 9], "step": 29, "ordinal_position": 30}, {"identifier": "G08", "position": [15, 8], "step": 30, "ordinal_position": 31}, {"identifier": "J67", "position": [15, 7], "step": 31, "ordinal_position": 32}, {"identifier": "P50", "position": [15, 6], "step": 32, "ordinal_position": 33}, {"identifier": "S65", "position": [15, 5], "step": 33, "ordinal_position": 34}, {"identifier": "I87", "position": [14, 5], "step": 34, "ordinal_position": 35}, {"identifier": "Z94", "position": [13, 5], "step": 35, "ordinal_position": 36}, {"identifier": "N38", "position": [13, 6], "step": 36, "ordinal_position": 37}, {"identifier": "N91", "position": [13, 7], "step": 37, "ordinal_position": 38}, {"identifier": "U34", "position": [14, 7], "step": 38, "ordinal_position": 39}, {"identifier": "J67", "position": [15, 7], "step": 39, "ordinal_position": 40}, {"identifier": "G08", "position": [15, 8], "step": 40, "ordinal_position": 41}, {"identifier": "D31", "position": [15, 9], "step": 41, "ordinal_position": 42}, {"identifier": "T77", "position": [15, 10], "step": 42, "ordinal_position": 43}, {"identifier": "A28", "position": [15, 11], "step": 43, "ordinal_position": 44}, {"identifier": "V53", "position": [15, 12], "step": 44, "ordinal_position": 45}, {"identifier": "V97", "position": [15, 13], "step": 45, "ordinal_position": 46}, {"identifier": "T83", "position": [16, 13], "step": 46, "ordinal_position": 47}, {"identifier": "I73", "position": [17, 13], "step": 47, "ordinal_position": 48}, {"identifier": "J96", "position": [17, 12], "step": 48, "ordinal_position": 49}, {"identifier": "R06", "position": [17, 11], "step": 49, "ordinal_position": 50}, {"identifier": "I65", "position": [18, 11], "step": 50, "ordinal_position": 51}, {"identifier": "M39", "position": [19, 11], "step": 51, "ordinal_position": 52}, {"identifier": "Q45", "position": [19, 12], "step": 52, "ordinal_position": 53}, {"identifier": "C92", "position": [19, 13], "step": 53, "ordinal_position": 54}, {"identifier": "G97", "position": [19, 14], "step": 54, "ordinal_position": 55}, {"identifier": "Z65", "position": [19, 15], "step": 55, "ordinal_position": 56}, {"identifier": "X80", "position": [18, 15], "step": 56, "ordinal_position": 57}, {"identifier": "X43", "position": [17, 15], "step": 57, "ordinal_position": 58}, {"identifier": "K62", "position": [17, 16], "step": 58, "ordinal_position": 59}, {"identifier": "F10", "position": [17, 17], "step": 59, "ordinal_position": 60}, {"identifier": "F12", "position": [18, 17], "step": 60, "ordinal_position": 61}, {"identifier": "W27", "position": [19, 17], "step": 61, "ordinal_position": 62}, {"identifier": "Q67", "position": [19, 18], "step": 62, "ordinal_position": 63}, {"identifier": "K26", "position": [19, 19], "step": 63, "ordinal_position": 64}, {"identifier": "W90", "position": [18, 19], "step": 64, "ordinal_position": 65}, {"identifier": "T33", "position": [17, 19], "step": 65, "ordinal_position": 66}, {"identifier": "I20", "position": [16, 19], "step": 66, "ordinal_position": 67}, {"identifier": "P25", "position": [15, 19], "step": 67, "ordinal_position": 68}, {"identifier": "L81", "position": [14, 19], "step": 68, "ordinal_position": 69}, {"identifier": "V10", "position": [13, 19], "step": 69, "ordinal_position": 70}, {"identifier": "J09", "position": [12, 19], "step": 70, "ordinal_position": 71}, {"identifier": "E01", "position": [11, 19], "step": 71, "ordinal_position": 72}, {"identifier": "M34", "position": [11, 18], "step": 72, "ordinal_position": 73}, {"identifier": "Q61", "position": [11, 17], "step": 73, "ordinal_position": 74}, {"identifier": "Q54", "position": [11, 16], "step": 74, "ordinal_position": 75}, {"identifier": "R85", "position": [11, 15], "step": 75, "ordinal_position": 76}, {"identifier": "M60", "position": [10, 15], "step": 76, "ordinal_position": 77}, {"identifier": "E62", "position": [9, 15], "step": 77, "ordinal_position": 78}, {"identifier": "G21", "position": [9, 14], "step": 78, "ordinal_position": 79}, {"identifier": "B22", "position": [9, 13], "step": 79, "ordinal_position": 80}, {"identifier": "I09", "position": [10, 13], "step": 80, "ordinal_position": 81}, {"identifier": "F84", "position": [11, 13], "step": 81, "ordinal_position": 82}, {"identifier": "T38", "position": [12, 13], "step": 82, "ordinal_position": 83}, {"identifier": "C38", "position": [13, 13], "step": 83, "ordinal_position": 84}, {"identifier": "B44", "position": [13, 14], "step": 84, "ordinal_position": 85}, {"identifier": "N32", "position": [13, 15], "step": 85, "ordinal_position": 86}, {"identifier": "S15", "position": [13, 16], "step": 86, "ordinal_position": 87}, {"identifier": "Z26", "position": [13, 17], "step": 87, "ordinal_position": 88}, {"identifier": "N33", "position": [13, 18], "step": 88, "ordinal_position": 89}, {"identifier": "V10", "position": [13, 19], "step": 89, "ordinal_position": 90}, {"identifier": "J09", "position": [12, 19], "step": 90, "ordinal_position": 91}, {"identifier": "E01", "position": [11, 19], "step": 91, "ordinal_position": 92}, {"identifier": "M34", "position": [11, 18], "step": 92, "ordinal_position": 93}, {"identifier": "Q61", "position": [11, 17], "step": 93, "ordinal_position": 94}, {"identifier": "Q54", "position": [11, 16], "step": 94, "ordinal_position": 95}, {"identifier": "R85", "position": [11, 15], "step": 95, "ordinal_position": 96}, {"identifier": "M60", "position": [10, 15], "step": 96, "ordinal_position": 97}, {"identifier": "E62", "position": [9, 15], "step": 97, "ordinal_position": 98}, {"identifier": "G21", "position": [9, 14], "step": 98, "ordinal_position": 99}, {"identifier": "B22", "position": [9, 13], "step": 99, "ordinal_position": 100}, {"identifier": "I09", "position": [10, 13], "step": 100, "ordinal_position": 101}, {"identifier": "F84", "position": [11, 13], "step": 101, "ordinal_position": 102}, {"identifier": "T38", "position": [12, 13], "step": 102, "ordinal_position": 103}, {"identifier": "C38", "position": [13, 13], "step": 103, "ordinal_position": 104}, {"identifier": "B44", "position": [13, 14], "step": 104, "ordinal_position": 105}, {"identifier": "N32", "position": [13, 15], "step": 105, "ordinal_position": 106}, {"identifier": "S15", "position": [13, 16], "step": 106, "ordinal_position": 107}, {"identifier": "Z26", "position": [13, 17], "step": 107, "ordinal_position": 108}, {"identifier": "N33", "position": [13, 18], "step": 108, "ordinal_position": 109}, {"identifier": "V10", "position": [13, 19], "step": 109, "ordinal_position": 110}, {"identifier": "J09", "position": [12, 19], "step": 110, "ordinal_position": 111}, {"identifier": "E01", "position": [11, 19], "step": 111, "ordinal_position": 112}, {"identifier": "M34", "position": [11, 18], "step": 112, "ordinal_position": 113}, {"identifier": "Q61", "position": [11, 17], "step": 113, "ordinal_position": 114}, {"identifier": "Q54", "position": [11, 16], "step": 114, "ordinal_position": 115}, {"identifier": "R85", "position": [11, 15], "step": 115, "ordinal_position": 116}, {"identifier": "M60", "position": [10, 15], "step": 116, "ordinal_position": 117}, {"identifier": "E62", "position": [9, 15], "step": 117, "ordinal_position": 118}, {"identifier": "G21", "position": [9, 14], "step": 118, "ordinal_position": 119}, {"identifier": "B22", "position": [9, 13], "step": 119, "ordinal_position": 120}, {"identifier": "I09", "position": [10, 13], "step": 120, "ordinal_position": 121}, {"identifier": "F84", "position": [11, 13], "step": 121, "ordinal_position": 122}, {"identifier": "T38", "position": [12, 13], "step": 122, "ordinal_position": 123}, {"identifier": "C38", "position": [13, 13], "step": 123, "ordinal_position": 124}, {"identifier": "B44", "position": [13, 14], "step": 124, "ordinal_position": 125}, {"identifier": "N32", "position": [13, 15], "step": 125, "ordinal_position": 126}, {"identifier": "S15", "position": [13, 16], "step": 126, "ordinal_position": 127}, {"identifier": "Z26", "position": [13, 17], "step": 127, "ordinal_position": 128}, {"identifier": "N33", "position": [13, 18], "step": 128, "ordinal_position": 129}, {"identifier": "V10", "position": [13, 19], "step": 129, "ordinal_position": 130}, {"identifier": "J09", "position": [12, 19], "step": 130, "ordinal_position": 131}, {"identifier": "E01", "position": [11, 19], "step": 131, "ordinal_position": 132}, {"identifier": "M34", "position": [11, 18], "step": 132, "ordinal_position": 133}, {"identifier": "Q61", "position": [11, 17], "step": 133, "ordinal_position": 134}, {"identifier": "Q54", "position": [11, 16], "step": 134, "ordinal_position": 135}, {"identifier": "R85", "position": [11, 15], "step": 135, "ordinal_position": 136}, {"identifier": "M60", "position": [10, 15], "step": 136, "ordinal_position": 137}, {"identifier": "E62", "position": [9, 15], "step": 137, "ordinal_position": 138}, {"identifier": "G21", "position": [9, 14], "step": 138, "ordinal_position": 139}, {"identifier": "B22", "position": [9, 13], "step": 139, "ordinal_position": 140}, {"identifier": "I09", "position": [10, 13], "step": 140, "ordinal_position": 141}, {"identifier": "F84", "position": [11, 13], "step": 141, "ordinal_position": 142}, {"identifier": "T38", "position": [12, 13], "step": 142, "ordinal_position": 143}, {"identifier": "C38", "position": [13, 13], "step": 143, "ordinal_position": 144}, {"identifier": "B44", "position": [13, 14], "step": 144, "ordinal_position": 145}, {"identifier": "N32", "position": [13, 15], "step": 145, "ordinal_position": 146}, {"identifier": "S15", "position": [13, 16], "step": 146, "ordinal_position": 147}, {"identifier": "Z26", "position": [13, 17], "step": 147, "ordinal_position": 148}, {"identifier": "N33", "position": [13, 18], "step": 148, "ordinal_position": 149}, {"identifier": "V10", "position": [13, 19], "step": 149, "ordinal_position": 150}, {"identifier": "J09", "position": [12, 19], "step": 150, "ordinal_position": 151}, {"identifier": "E01", "position": [11, 19], "step": 151, "ordinal_position": 152}, {"identifier": "M34", "position": [11, 18], "step": 152, "ordinal_position": 153}, {"identifier": "Q61", "position": [11, 17], "step": 153, "ordinal_position": 154}, {"identifier": "Q54", "position": [11, 16], "step": 154, "ordinal_position": 155}, {"identifier": "R85", "position": [11, 15], "step": 155, "ordinal_position": 156}, {"identifier": "M60", "position": [10, 15], "step": 156, "ordinal_position": 157}, {"identifier": "E62", "position": [9, 15], "step": 157, "ordinal_position": 158}, {"identifier": "G21", "position": [9, 14], "step": 158, "ordinal_position": 159}, {"identifier": "B22", "position": [9, 13], "step": 159, "ordinal_position": 160}, {"identifier": "I09", "position": [10, 13], "step": 160, "ordinal_position": 161}, {"identifier": "F84", "position": [11, 13], "step": 161, "ordinal_position": 162}, {"identifier": "T38", "position": [12, 13], "step": 162, "ordinal_position": 163}, {"identifier": "C38", "position": [13, 13], "step": 163, "ordinal_position": 164}, {"identifier": "B44", "position": [13, 14], "step": 164, "ordinal_position": 165}, {"identifier": "N32", "position": [13, 15], "step": 165, "ordinal_position": 166}, {"identifier": "S15", "position": [13, 16], "step": 166, "ordinal_position": 167}, {"identifier": "Z26", "position": [13, 17], "step": 167, "ordinal_position": 168}, {"identifier": "N33", "position": [13, 18], "step": 168, "ordinal_position": 169}, {"identifier": "V10", "position": [13, 19], "step": 169, "ordinal_position": 170}, {"identifier": "J09", "position": [12, 19], "step": 170, "ordinal_position": 171}, {"identifier": "E01", "position": [11, 19], "step": 171, "ordinal_position": 172}, {"identifier": "M34", "position": [11, 18], "step": 172, "ordinal_position": 173}, {"identifier": "Q61", "position": [11, 17], "step": 173, "ordinal_position": 174}, {"identifier": "Q54", "position": [11, 16], "step": 174, "ordinal_position": 175}, {"identifier": "R85", "position": [11, 15], "step": 175, "ordinal_position": 176}, {"identifier": "M60", "position": [10, 15], "step": 176, "ordinal_position": 177}, {"identifier": "E62", "position": [9, 15], "step": 177, "ordinal_position": 178}, {"identifier": "G21", "position": [9, 14], "step": 178, "ordinal_position": 179}, {"identifier": "B22", "position": [9, 13], "step": 179, "ordinal_position": 180}, {"identifier": "I09", "position": [10, 13], "step": 180, "ordinal_position": 181}, {"identifier": "F84", "position": [11, 13], "step": 181, "ordinal_position": 182}, {"identifier": "T38", "position": [12, 13], "step": 182, "ordinal_position": 183}, {"identifier": "C38", "position": [13, 13], "step": 183, "ordinal_position": 184}, {"identifier": "B44", "position": [13, 14], "step": 184, "ordinal_position": 185}, {"identifier": "N32", "position": [13, 15], "step": 185, "ordinal_position": 186}, {"identifier": "S15", "position": [13, 16], "step": 186, "ordinal_position": 187}, {"identifier": "Z26", "position": [13, 17], "step": 187, "ordinal_position": 188}, {"identifier": "N33", "position": [13, 18], "step": 188, "ordinal_position": 189}, {"identifier": "V10", "position": [13, 19], "step": 189, "ordinal_position": 190}, {"identifier": "J09", "position": [12, 19], "step": 190, "ordinal_position": 191}, {"identifier": "E01", "position": [11, 19], "step": 191, "ordinal_position": 192}, {"identifier": "M34", "position": [11, 18], "step": 192, "ordinal_position": 193}, {"identifier": "Q61", "position": [11, 17], "step": 193, "ordinal_position": 194}, {"identifier": "Q54", "position": [11, 16], "step": 194, "ordinal_position": 195}, {"identifier": "R85", "position": [11, 15], "step": 195, "ordinal_position": 196}, {"identifier": "M60", "position": [10, 15], "step": 196, "ordinal_position": 197}, {"identifier": "E62", "position": [9, 15], "step": 197, "ordinal_position": 198}, {"identifier": "G21", "position": [9, 14], "step": 198, "ordinal_position": 199}, {"identifier": "B22", "position": [9, 13], "step": 199, "ordinal_position": 200}, {"identifier": "I09", "position": [10, 13], "step": 200, "ordinal_position": 201}, {"identifier": "F84", "position": [11, 13], "step": 201, "ordinal_position": 202}, {"identifier": "T38", "position": [12, 13], "step": 202, "ordinal_position": 203}, {"identifier": "C38", "position": [13, 13], "step": 203, "ordinal_position": 204}, {"identifier": "B44", "position": [13, 14], "step": 204, "ordinal_position": 205}, {"identifier": "N32", "position": [13, 15], "step": 205, "ordinal_position": 206}, {"identifier": "S15", "position": [13, 16], "step": 206, "ordinal_position": 207}, {"identifier": "Z26", "position": [13, 17], "step": 207, "ordinal_position": 208}, {"identifier": "N33", "position": [13, 18], "step": 208, "ordinal_position": 209}, {"identifier": "V10", "position": [13, 19], "step": 209, "ordinal_position": 210}, {"identifier": "J09", "position": [12, 19], "step": 210, "ordinal_position": 211}, {"identifier": "E01", "position": [11, 19], "step": 211, "ordinal_position": 212}, {"identifier": "M34", "position": [11, 18], "step": 212, "ordinal_position": 213}, {"identifier": "Q61", "position": [11, 17], "step": 213, "ordinal_position": 214}, {"identifier": "Q54", "position": [11, 16], "step": 214, "ordinal_position": 215}, {"identifier": "R85", "position": [11, 15], "step": 215, "ordinal_position": 216}, {"identifier": "M60", "position": [10, 15], "step": 216, "ordinal_position": 217}, {"identifier": "E62", "position": [9, 15], "step": 217, "ordinal_position": 218}, {"identifier": "G21", "position": [9, 14], "step": 218, "ordinal_position": 219}, {"identifier": "B22", "position": [9, 13], "step": 219, "ordinal_position": 220}, {"identifier": "I09", "position": [10, 13], "step": 220, "ordinal_position": 221}, {"identifier": "F84", "position": [11, 13], "step": 221, "ordinal_position": 222}, {"identifier": "T38", "position": [12, 13], "step": 222, "ordinal_position": 223}, {"identifier": "C38", "position": [13, 13], "step": 223, "ordinal_position": 224}, {"identifier": "B44", "position": [13, 14], "step": 224, "ordinal_position": 225}, {"identifier": "N32", "position": [13, 15], "step": 225, "ordinal_position": 226}, {"identifier": "S15", "position": [13, 16], "step": 226, "ordinal_position": 227}, {"identifier": "Z26", "position": [13, 17], "step": 227, "ordinal_position": 228}, {"identifier": "N33", "position": [13, 18], "step": 228, "ordinal_position": 229}, {"identifier": "V10", "position": [13, 19], "step": 229, "ordinal_position": 230}, {"identifier": "J09", "position": [12, 19], "step": 230, "ordinal_position": 231}, {"identifier": "E01", "position": [11, 19], "step": 231, "ordinal_position": 232}, {"identifier": "M34", "position": [11, 18], "step": 232, "ordinal_position": 233}, {"identifier": "Q61", "position": [11, 17], "step": 233, "ordinal_position": 234}, {"identifier": "Q54", "position": [11, 16], "step": 234, "ordinal_position": 235}, {"identifier": "R85", "position": [11, 15], "step": 235, "ordinal_position": 236}, {"identifier": "M60", "position": [10, 15], "step": 236, "ordinal_position": 237}, {"identifier": "E62", "position": [9, 15], "step": 237, "ordinal_position": 238}, {"identifier": "G21", "position": [9, 14], "step": 238, "ordinal_position": 239}, {"identifier": "B22", "position": [9, 13], "step": 239, "ordinal_position": 240}, {"identifier": "I09", "position": [10, 13], "step": 240, "ordinal_position": 241}, {"identifier": "F84", "position": [11, 13], "step": 241, "ordinal_position": 242}, {"identifier": "T38", "position": [12, 13], "step": 242, "ordinal_position": 243}, {"identifier": "C38", "position": [13, 13], "step": 243, "ordinal_position": 244}, {"identifier": "B44", "position": [13, 14], "step": 244, "ordinal_position": 245}, {"identifier": "N32", "position": [13, 15], "step": 245, "ordinal_position": 246}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 246, "direction": "right", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_017.json"}} {"qa_id": "44951b0a76a14eeba9ffdfe483bc0be1", "image_id": "L3-MazeLoop-test_21x21_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q12, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 250th position in this traversal?", "start_object_id": "Q12", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [250], "ordinal_strings": ["250th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "K54", "traversal_path": [{"identifier": "Q12", "position": [1, 16], "step": 0, "ordinal_position": 1}, {"identifier": "D22", "position": [1, 15], "step": 1, "ordinal_position": 2}, {"identifier": "D14", "position": [2, 15], "step": 2, "ordinal_position": 3}, {"identifier": "E04", "position": [3, 15], "step": 3, "ordinal_position": 4}, {"identifier": "L66", "position": [3, 14], "step": 4, "ordinal_position": 5}, {"identifier": "Q38", "position": [3, 13], "step": 5, "ordinal_position": 6}, {"identifier": "S12", "position": [2, 13], "step": 6, "ordinal_position": 7}, {"identifier": "S40", "position": [1, 13], "step": 7, "ordinal_position": 8}, {"identifier": "Q56", "position": [1, 12], "step": 8, "ordinal_position": 9}, {"identifier": "F28", "position": [1, 11], "step": 9, "ordinal_position": 10}, {"identifier": "T90", "position": [2, 11], "step": 10, "ordinal_position": 11}, {"identifier": "L03", "position": [3, 11], "step": 11, "ordinal_position": 12}, {"identifier": "G73", "position": [4, 11], "step": 12, "ordinal_position": 13}, {"identifier": "X84", "position": [5, 11], "step": 13, "ordinal_position": 14}, {"identifier": "D59", "position": [5, 10], "step": 14, "ordinal_position": 15}, {"identifier": "M93", "position": [5, 9], "step": 15, "ordinal_position": 16}, {"identifier": "J32", "position": [5, 8], "step": 16, "ordinal_position": 17}, {"identifier": "R86", "position": [5, 7], "step": 17, "ordinal_position": 18}, {"identifier": "U67", "position": [6, 7], "step": 18, "ordinal_position": 19}, {"identifier": "Z89", "position": [7, 7], "step": 19, "ordinal_position": 20}, {"identifier": "W06", "position": [7, 8], "step": 20, "ordinal_position": 21}, {"identifier": "L82", "position": [7, 9], "step": 21, "ordinal_position": 22}, {"identifier": "P37", "position": [7, 10], "step": 22, "ordinal_position": 23}, {"identifier": "B12", "position": [7, 11], "step": 23, "ordinal_position": 24}, {"identifier": "W08", "position": [7, 12], "step": 24, "ordinal_position": 25}, {"identifier": "K54", "position": [7, 13], "step": 25, "ordinal_position": 26}, {"identifier": "I14", "position": [6, 13], "step": 26, "ordinal_position": 27}, {"identifier": "N89", "position": [5, 13], "step": 27, "ordinal_position": 28}, {"identifier": "T14", "position": [5, 12], "step": 28, "ordinal_position": 29}, {"identifier": "X84", "position": [5, 11], "step": 29, "ordinal_position": 30}, {"identifier": "D59", "position": [5, 10], "step": 30, "ordinal_position": 31}, {"identifier": "M93", "position": [5, 9], "step": 31, "ordinal_position": 32}, {"identifier": "J32", "position": [5, 8], "step": 32, "ordinal_position": 33}, {"identifier": "R86", "position": [5, 7], "step": 33, "ordinal_position": 34}, {"identifier": "U67", "position": [6, 7], "step": 34, "ordinal_position": 35}, {"identifier": "Z89", "position": [7, 7], "step": 35, "ordinal_position": 36}, {"identifier": "W06", "position": [7, 8], "step": 36, "ordinal_position": 37}, {"identifier": "L82", "position": [7, 9], "step": 37, "ordinal_position": 38}, {"identifier": "P37", "position": [7, 10], "step": 38, "ordinal_position": 39}, {"identifier": "B12", "position": [7, 11], "step": 39, "ordinal_position": 40}, {"identifier": "W08", "position": [7, 12], "step": 40, "ordinal_position": 41}, {"identifier": "K54", "position": [7, 13], "step": 41, "ordinal_position": 42}, {"identifier": "I14", "position": [6, 13], "step": 42, "ordinal_position": 43}, {"identifier": "N89", "position": [5, 13], "step": 43, "ordinal_position": 44}, {"identifier": "T14", "position": [5, 12], "step": 44, "ordinal_position": 45}, {"identifier": "X84", "position": [5, 11], "step": 45, "ordinal_position": 46}, {"identifier": "D59", "position": [5, 10], "step": 46, "ordinal_position": 47}, {"identifier": "M93", "position": [5, 9], "step": 47, "ordinal_position": 48}, {"identifier": "J32", "position": [5, 8], "step": 48, "ordinal_position": 49}, {"identifier": "R86", "position": [5, 7], "step": 49, "ordinal_position": 50}, {"identifier": "U67", "position": [6, 7], "step": 50, "ordinal_position": 51}, {"identifier": "Z89", "position": [7, 7], "step": 51, "ordinal_position": 52}, {"identifier": "W06", "position": [7, 8], "step": 52, "ordinal_position": 53}, {"identifier": "L82", "position": [7, 9], "step": 53, "ordinal_position": 54}, {"identifier": "P37", "position": [7, 10], "step": 54, "ordinal_position": 55}, {"identifier": "B12", "position": [7, 11], "step": 55, "ordinal_position": 56}, {"identifier": "W08", "position": [7, 12], "step": 56, "ordinal_position": 57}, {"identifier": "K54", "position": [7, 13], "step": 57, "ordinal_position": 58}, {"identifier": "I14", "position": [6, 13], "step": 58, "ordinal_position": 59}, {"identifier": "N89", "position": [5, 13], "step": 59, "ordinal_position": 60}, {"identifier": "T14", "position": [5, 12], "step": 60, "ordinal_position": 61}, {"identifier": "X84", "position": [5, 11], "step": 61, "ordinal_position": 62}, {"identifier": "D59", "position": [5, 10], "step": 62, "ordinal_position": 63}, {"identifier": "M93", "position": [5, 9], "step": 63, "ordinal_position": 64}, {"identifier": "J32", "position": [5, 8], "step": 64, "ordinal_position": 65}, {"identifier": "R86", "position": [5, 7], "step": 65, "ordinal_position": 66}, {"identifier": "U67", "position": [6, 7], "step": 66, "ordinal_position": 67}, {"identifier": "Z89", "position": [7, 7], "step": 67, "ordinal_position": 68}, {"identifier": "W06", "position": [7, 8], "step": 68, "ordinal_position": 69}, {"identifier": "L82", "position": [7, 9], "step": 69, "ordinal_position": 70}, {"identifier": "P37", "position": [7, 10], "step": 70, "ordinal_position": 71}, {"identifier": "B12", "position": [7, 11], "step": 71, "ordinal_position": 72}, {"identifier": "W08", "position": [7, 12], "step": 72, "ordinal_position": 73}, {"identifier": "K54", "position": [7, 13], "step": 73, "ordinal_position": 74}, {"identifier": "I14", "position": [6, 13], "step": 74, "ordinal_position": 75}, {"identifier": "N89", "position": [5, 13], "step": 75, "ordinal_position": 76}, {"identifier": "T14", "position": [5, 12], "step": 76, "ordinal_position": 77}, {"identifier": "X84", "position": [5, 11], "step": 77, "ordinal_position": 78}, {"identifier": "D59", "position": [5, 10], "step": 78, "ordinal_position": 79}, {"identifier": "M93", "position": [5, 9], "step": 79, "ordinal_position": 80}, {"identifier": "J32", "position": [5, 8], "step": 80, "ordinal_position": 81}, {"identifier": "R86", "position": [5, 7], "step": 81, "ordinal_position": 82}, {"identifier": "U67", "position": [6, 7], "step": 82, "ordinal_position": 83}, {"identifier": "Z89", "position": [7, 7], "step": 83, "ordinal_position": 84}, 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231}, {"identifier": "B12", "position": [7, 11], "step": 231, "ordinal_position": 232}, {"identifier": "W08", "position": [7, 12], "step": 232, "ordinal_position": 233}, {"identifier": "K54", "position": [7, 13], "step": 233, "ordinal_position": 234}, {"identifier": "I14", "position": [6, 13], "step": 234, "ordinal_position": 235}, {"identifier": "N89", "position": [5, 13], "step": 235, "ordinal_position": 236}, {"identifier": "T14", "position": [5, 12], "step": 236, "ordinal_position": 237}, {"identifier": "X84", "position": [5, 11], "step": 237, "ordinal_position": 238}, {"identifier": "D59", "position": [5, 10], "step": 238, "ordinal_position": 239}, {"identifier": "M93", "position": [5, 9], "step": 239, "ordinal_position": 240}, {"identifier": "J32", "position": [5, 8], "step": 240, "ordinal_position": 241}, {"identifier": "R86", "position": [5, 7], "step": 241, "ordinal_position": 242}, {"identifier": "U67", "position": [6, 7], "step": 242, "ordinal_position": 243}, {"identifier": "Z89", "position": [7, 7], "step": 243, "ordinal_position": 244}, {"identifier": "W06", "position": [7, 8], "step": 244, "ordinal_position": 245}, {"identifier": "L82", "position": [7, 9], "step": 245, "ordinal_position": 246}, {"identifier": "P37", "position": [7, 10], "step": 246, "ordinal_position": 247}, {"identifier": "B12", "position": [7, 11], "step": 247, "ordinal_position": 248}, {"identifier": "W08", "position": [7, 12], "step": 248, "ordinal_position": 249}, {"identifier": "K54", "position": [7, 13], "step": 249, "ordinal_position": 250}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 250, "direction": "up", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_017.json"}} {"qa_id": "ea3fae26277a4e0eb96b5bc825f832ad", "image_id": "L3-MazeLoop-test_21x21_017", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled V97, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 195th position in this traversal?", "start_object_id": "V97", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [195], "ordinal_strings": ["195th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Z94", "traversal_path": [{"identifier": "V97", "position": [15, 13], "step": 0, "ordinal_position": 1}, {"identifier": "V53", "position": [15, 12], "step": 1, "ordinal_position": 2}, {"identifier": "A28", "position": [15, 11], "step": 2, "ordinal_position": 3}, {"identifier": "T77", "position": [15, 10], "step": 3, "ordinal_position": 4}, {"identifier": "D31", "position": [15, 9], "step": 4, "ordinal_position": 5}, {"identifier": "G08", "position": [15, 8], "step": 5, "ordinal_position": 6}, {"identifier": "J67", "position": [15, 7], "step": 6, "ordinal_position": 7}, {"identifier": "P50", "position": [15, 6], "step": 7, "ordinal_position": 8}, {"identifier": "S65", "position": [15, 5], "step": 8, "ordinal_position": 9}, {"identifier": "I87", "position": [14, 5], "step": 9, "ordinal_position": 10}, {"identifier": "Z94", "position": [13, 5], "step": 10, "ordinal_position": 11}, {"identifier": "N38", "position": [13, 6], "step": 11, "ordinal_position": 12}, {"identifier": "N91", "position": [13, 7], "step": 12, "ordinal_position": 13}, {"identifier": "U34", "position": [14, 7], "step": 13, "ordinal_position": 14}, {"identifier": "J67", "position": [15, 7], "step": 14, "ordinal_position": 15}, {"identifier": "P50", "position": [15, 6], "step": 15, "ordinal_position": 16}, {"identifier": "S65", "position": [15, 5], "step": 16, "ordinal_position": 17}, {"identifier": "I87", "position": [14, 5], "step": 17, "ordinal_position": 18}, {"identifier": "Z94", "position": [13, 5], "step": 18, "ordinal_position": 19}, {"identifier": "N38", "position": [13, 6], "step": 19, "ordinal_position": 20}, {"identifier": "N91", "position": [13, 7], "step": 20, "ordinal_position": 21}, {"identifier": "U34", "position": [14, 7], "step": 21, "ordinal_position": 22}, {"identifier": "J67", "position": [15, 7], "step": 22, "ordinal_position": 23}, {"identifier": "P50", "position": [15, 6], "step": 23, "ordinal_position": 24}, {"identifier": "S65", "position": [15, 5], "step": 24, "ordinal_position": 25}, {"identifier": "I87", "position": [14, 5], "step": 25, "ordinal_position": 26}, {"identifier": "Z94", "position": [13, 5], "step": 26, "ordinal_position": 27}, {"identifier": "N38", "position": [13, 6], "step": 27, "ordinal_position": 28}, {"identifier": "N91", "position": [13, 7], "step": 28, "ordinal_position": 29}, {"identifier": "U34", "position": [14, 7], "step": 29, "ordinal_position": 30}, {"identifier": "J67", "position": [15, 7], "step": 30, "ordinal_position": 31}, {"identifier": "P50", "position": [15, 6], "step": 31, "ordinal_position": 32}, {"identifier": "S65", "position": [15, 5], "step": 32, "ordinal_position": 33}, {"identifier": "I87", "position": [14, 5], "step": 33, "ordinal_position": 34}, {"identifier": "Z94", "position": [13, 5], "step": 34, "ordinal_position": 35}, {"identifier": "N38", "position": [13, 6], "step": 35, "ordinal_position": 36}, {"identifier": "N91", "position": [13, 7], "step": 36, "ordinal_position": 37}, {"identifier": "U34", "position": [14, 7], "step": 37, "ordinal_position": 38}, {"identifier": "J67", "position": [15, 7], "step": 38, "ordinal_position": 39}, {"identifier": "P50", "position": [15, 6], "step": 39, "ordinal_position": 40}, {"identifier": "S65", "position": [15, 5], "step": 40, "ordinal_position": 41}, {"identifier": "I87", "position": [14, 5], "step": 41, "ordinal_position": 42}, {"identifier": "Z94", "position": [13, 5], "step": 42, "ordinal_position": 43}, {"identifier": "N38", "position": [13, 6], "step": 43, "ordinal_position": 44}, {"identifier": "N91", "position": [13, 7], "step": 44, "ordinal_position": 45}, {"identifier": "U34", "position": [14, 7], "step": 45, "ordinal_position": 46}, {"identifier": "J67", "position": [15, 7], "step": 46, "ordinal_position": 47}, {"identifier": "P50", "position": [15, 6], "step": 47, "ordinal_position": 48}, {"identifier": "S65", "position": [15, 5], "step": 48, "ordinal_position": 49}, {"identifier": "I87", "position": [14, 5], "step": 49, "ordinal_position": 50}, {"identifier": "Z94", "position": [13, 5], "step": 50, "ordinal_position": 51}, {"identifier": "N38", "position": [13, 6], "step": 51, "ordinal_position": 52}, {"identifier": "N91", "position": [13, 7], "step": 52, "ordinal_position": 53}, {"identifier": "U34", "position": [14, 7], "step": 53, "ordinal_position": 54}, {"identifier": "J67", "position": [15, 7], "step": 54, "ordinal_position": 55}, {"identifier": "P50", "position": [15, 6], "step": 55, "ordinal_position": 56}, {"identifier": "S65", "position": [15, 5], "step": 56, "ordinal_position": 57}, {"identifier": "I87", "position": [14, 5], "step": 57, "ordinal_position": 58}, {"identifier": "Z94", "position": [13, 5], "step": 58, "ordinal_position": 59}, {"identifier": "N38", "position": [13, 6], "step": 59, "ordinal_position": 60}, {"identifier": "N91", "position": [13, 7], "step": 60, "ordinal_position": 61}, {"identifier": "U34", "position": [14, 7], "step": 61, "ordinal_position": 62}, {"identifier": "J67", "position": [15, 7], "step": 62, "ordinal_position": 63}, {"identifier": "P50", "position": [15, 6], "step": 63, "ordinal_position": 64}, {"identifier": "S65", "position": [15, 5], "step": 64, "ordinal_position": 65}, {"identifier": "I87", "position": [14, 5], "step": 65, "ordinal_position": 66}, {"identifier": "Z94", "position": [13, 5], "step": 66, "ordinal_position": 67}, {"identifier": "N38", "position": [13, 6], "step": 67, "ordinal_position": 68}, {"identifier": "N91", "position": [13, 7], "step": 68, "ordinal_position": 69}, {"identifier": "U34", "position": [14, 7], "step": 69, "ordinal_position": 70}, {"identifier": "J67", "position": [15, 7], "step": 70, "ordinal_position": 71}, {"identifier": "P50", "position": [15, 6], "step": 71, "ordinal_position": 72}, {"identifier": "S65", "position": [15, 5], "step": 72, "ordinal_position": 73}, {"identifier": "I87", "position": [14, 5], "step": 73, "ordinal_position": 74}, {"identifier": "Z94", "position": [13, 5], "step": 74, "ordinal_position": 75}, {"identifier": "N38", "position": [13, 6], "step": 75, "ordinal_position": 76}, {"identifier": "N91", "position": [13, 7], "step": 76, "ordinal_position": 77}, {"identifier": "U34", "position": [14, 7], "step": 77, "ordinal_position": 78}, {"identifier": "J67", "position": [15, 7], "step": 78, "ordinal_position": 79}, {"identifier": "P50", "position": [15, 6], "step": 79, "ordinal_position": 80}, {"identifier": "S65", "position": [15, 5], "step": 80, "ordinal_position": 81}, {"identifier": "I87", "position": [14, 5], "step": 81, "ordinal_position": 82}, {"identifier": "Z94", "position": [13, 5], "step": 82, "ordinal_position": 83}, {"identifier": "N38", "position": [13, 6], "step": 83, "ordinal_position": 84}, {"identifier": "N91", "position": [13, 7], "step": 84, "ordinal_position": 85}, {"identifier": "U34", "position": [14, 7], "step": 85, "ordinal_position": 86}, {"identifier": "J67", "position": [15, 7], "step": 86, "ordinal_position": 87}, {"identifier": "P50", "position": [15, 6], "step": 87, "ordinal_position": 88}, {"identifier": "S65", "position": [15, 5], "step": 88, "ordinal_position": 89}, {"identifier": "I87", "position": [14, 5], "step": 89, "ordinal_position": 90}, {"identifier": "Z94", "position": [13, 5], "step": 90, "ordinal_position": 91}, {"identifier": "N38", "position": [13, 6], "step": 91, "ordinal_position": 92}, {"identifier": "N91", "position": [13, 7], "step": 92, "ordinal_position": 93}, {"identifier": "U34", "position": [14, 7], "step": 93, "ordinal_position": 94}, {"identifier": "J67", "position": [15, 7], "step": 94, "ordinal_position": 95}, {"identifier": "P50", "position": [15, 6], "step": 95, "ordinal_position": 96}, {"identifier": "S65", "position": [15, 5], "step": 96, "ordinal_position": 97}, {"identifier": "I87", "position": [14, 5], "step": 97, "ordinal_position": 98}, {"identifier": "Z94", "position": [13, 5], "step": 98, "ordinal_position": 99}, {"identifier": "N38", "position": [13, 6], "step": 99, "ordinal_position": 100}, {"identifier": "N91", "position": [13, 7], "step": 100, "ordinal_position": 101}, {"identifier": "U34", "position": [14, 7], "step": 101, "ordinal_position": 102}, {"identifier": "J67", "position": [15, 7], "step": 102, "ordinal_position": 103}, {"identifier": "P50", "position": [15, 6], "step": 103, "ordinal_position": 104}, {"identifier": "S65", "position": [15, 5], "step": 104, "ordinal_position": 105}, {"identifier": "I87", "position": [14, 5], "step": 105, "ordinal_position": 106}, {"identifier": "Z94", "position": [13, 5], "step": 106, "ordinal_position": 107}, {"identifier": "N38", "position": [13, 6], "step": 107, "ordinal_position": 108}, {"identifier": "N91", "position": [13, 7], "step": 108, "ordinal_position": 109}, {"identifier": "U34", "position": [14, 7], "step": 109, "ordinal_position": 110}, {"identifier": "J67", "position": [15, 7], "step": 110, "ordinal_position": 111}, {"identifier": "P50", "position": [15, 6], "step": 111, "ordinal_position": 112}, {"identifier": "S65", "position": [15, 5], "step": 112, "ordinal_position": 113}, {"identifier": "I87", "position": [14, 5], "step": 113, "ordinal_position": 114}, {"identifier": "Z94", "position": [13, 5], "step": 114, "ordinal_position": 115}, {"identifier": "N38", "position": [13, 6], "step": 115, "ordinal_position": 116}, {"identifier": "N91", "position": [13, 7], "step": 116, "ordinal_position": 117}, {"identifier": "U34", "position": [14, 7], "step": 117, "ordinal_position": 118}, {"identifier": "J67", "position": [15, 7], "step": 118, "ordinal_position": 119}, {"identifier": "P50", "position": [15, 6], "step": 119, "ordinal_position": 120}, {"identifier": "S65", "position": [15, 5], "step": 120, "ordinal_position": 121}, {"identifier": "I87", "position": [14, 5], "step": 121, "ordinal_position": 122}, {"identifier": "Z94", "position": [13, 5], "step": 122, "ordinal_position": 123}, {"identifier": "N38", "position": [13, 6], "step": 123, "ordinal_position": 124}, {"identifier": "N91", "position": [13, 7], "step": 124, "ordinal_position": 125}, {"identifier": "U34", "position": [14, 7], "step": 125, "ordinal_position": 126}, {"identifier": "J67", "position": [15, 7], "step": 126, "ordinal_position": 127}, {"identifier": "P50", "position": [15, 6], "step": 127, "ordinal_position": 128}, {"identifier": "S65", "position": [15, 5], "step": 128, "ordinal_position": 129}, {"identifier": "I87", "position": [14, 5], "step": 129, "ordinal_position": 130}, {"identifier": "Z94", "position": [13, 5], "step": 130, "ordinal_position": 131}, {"identifier": "N38", "position": [13, 6], "step": 131, "ordinal_position": 132}, {"identifier": "N91", "position": [13, 7], "step": 132, "ordinal_position": 133}, {"identifier": "U34", "position": [14, 7], "step": 133, "ordinal_position": 134}, {"identifier": "J67", "position": [15, 7], "step": 134, "ordinal_position": 135}, {"identifier": "P50", "position": [15, 6], "step": 135, "ordinal_position": 136}, {"identifier": "S65", "position": [15, 5], "step": 136, "ordinal_position": 137}, {"identifier": "I87", "position": [14, 5], "step": 137, "ordinal_position": 138}, {"identifier": "Z94", "position": [13, 5], "step": 138, "ordinal_position": 139}, {"identifier": "N38", "position": [13, 6], "step": 139, "ordinal_position": 140}, {"identifier": "N91", "position": [13, 7], "step": 140, "ordinal_position": 141}, {"identifier": "U34", "position": [14, 7], "step": 141, "ordinal_position": 142}, {"identifier": "J67", "position": [15, 7], "step": 142, "ordinal_position": 143}, {"identifier": "P50", "position": [15, 6], "step": 143, "ordinal_position": 144}, {"identifier": "S65", "position": [15, 5], "step": 144, "ordinal_position": 145}, {"identifier": "I87", "position": [14, 5], "step": 145, "ordinal_position": 146}, {"identifier": "Z94", "position": [13, 5], "step": 146, "ordinal_position": 147}, {"identifier": "N38", "position": [13, 6], "step": 147, "ordinal_position": 148}, {"identifier": "N91", "position": [13, 7], "step": 148, "ordinal_position": 149}, {"identifier": "U34", "position": [14, 7], "step": 149, "ordinal_position": 150}, {"identifier": "J67", "position": [15, 7], "step": 150, "ordinal_position": 151}, {"identifier": "P50", "position": [15, 6], "step": 151, "ordinal_position": 152}, {"identifier": "S65", "position": [15, 5], "step": 152, "ordinal_position": 153}, {"identifier": "I87", "position": [14, 5], "step": 153, "ordinal_position": 154}, {"identifier": "Z94", "position": [13, 5], "step": 154, "ordinal_position": 155}, {"identifier": "N38", "position": [13, 6], "step": 155, "ordinal_position": 156}, {"identifier": "N91", "position": [13, 7], "step": 156, "ordinal_position": 157}, {"identifier": "U34", "position": [14, 7], "step": 157, "ordinal_position": 158}, {"identifier": "J67", "position": [15, 7], "step": 158, "ordinal_position": 159}, {"identifier": "P50", "position": [15, 6], "step": 159, "ordinal_position": 160}, {"identifier": "S65", "position": [15, 5], "step": 160, "ordinal_position": 161}, {"identifier": "I87", "position": [14, 5], "step": 161, "ordinal_position": 162}, {"identifier": "Z94", "position": [13, 5], "step": 162, "ordinal_position": 163}, {"identifier": "N38", "position": [13, 6], "step": 163, "ordinal_position": 164}, {"identifier": "N91", "position": [13, 7], "step": 164, "ordinal_position": 165}, {"identifier": "U34", "position": [14, 7], "step": 165, "ordinal_position": 166}, {"identifier": "J67", "position": [15, 7], "step": 166, "ordinal_position": 167}, {"identifier": "P50", "position": [15, 6], "step": 167, "ordinal_position": 168}, {"identifier": "S65", "position": [15, 5], "step": 168, "ordinal_position": 169}, {"identifier": "I87", "position": [14, 5], "step": 169, "ordinal_position": 170}, {"identifier": "Z94", "position": [13, 5], "step": 170, "ordinal_position": 171}, {"identifier": "N38", "position": [13, 6], "step": 171, "ordinal_position": 172}, {"identifier": "N91", "position": [13, 7], "step": 172, "ordinal_position": 173}, {"identifier": "U34", "position": [14, 7], "step": 173, "ordinal_position": 174}, {"identifier": "J67", "position": [15, 7], "step": 174, "ordinal_position": 175}, {"identifier": "P50", "position": [15, 6], "step": 175, "ordinal_position": 176}, {"identifier": "S65", "position": [15, 5], "step": 176, "ordinal_position": 177}, {"identifier": "I87", "position": [14, 5], "step": 177, "ordinal_position": 178}, {"identifier": "Z94", "position": [13, 5], "step": 178, "ordinal_position": 179}, {"identifier": "N38", "position": [13, 6], "step": 179, "ordinal_position": 180}, {"identifier": "N91", "position": [13, 7], "step": 180, "ordinal_position": 181}, {"identifier": "U34", "position": [14, 7], "step": 181, "ordinal_position": 182}, {"identifier": "J67", "position": [15, 7], "step": 182, "ordinal_position": 183}, {"identifier": "P50", "position": [15, 6], "step": 183, "ordinal_position": 184}, {"identifier": "S65", "position": [15, 5], "step": 184, "ordinal_position": 185}, {"identifier": "I87", "position": [14, 5], "step": 185, "ordinal_position": 186}, {"identifier": "Z94", "position": [13, 5], "step": 186, "ordinal_position": 187}, {"identifier": "N38", "position": [13, 6], "step": 187, "ordinal_position": 188}, {"identifier": "N91", "position": [13, 7], "step": 188, "ordinal_position": 189}, {"identifier": "U34", "position": [14, 7], "step": 189, "ordinal_position": 190}, {"identifier": "J67", "position": [15, 7], "step": 190, "ordinal_position": 191}, {"identifier": "P50", "position": [15, 6], "step": 191, "ordinal_position": 192}, {"identifier": "S65", "position": [15, 5], "step": 192, "ordinal_position": 193}, {"identifier": "I87", "position": [14, 5], "step": 193, "ordinal_position": 194}, {"identifier": "Z94", "position": [13, 5], "step": 194, "ordinal_position": 195}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 195, "direction": "up", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_017.json"}} {"qa_id": "c893c77955c3441786934e752c644925", "image_id": "L3-MazeLoop-test_21x21_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W32, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 20th position in this traversal?", "start_object_id": "W32", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [20], "ordinal_strings": ["20th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "P49", "traversal_path": [{"identifier": "W32", "position": [9, 7], "step": 0, "ordinal_position": 1}, {"identifier": "T33", "position": [8, 7], "step": 1, "ordinal_position": 2}, {"identifier": "J66", "position": [7, 7], "step": 2, "ordinal_position": 3}, {"identifier": "M37", "position": [7, 6], "step": 3, "ordinal_position": 4}, {"identifier": "N49", "position": [7, 5], "step": 4, "ordinal_position": 5}, {"identifier": "T44", "position": [7, 4], "step": 5, "ordinal_position": 6}, {"identifier": "Z06", "position": [7, 3], "step": 6, "ordinal_position": 7}, {"identifier": "H47", "position": [7, 2], "step": 7, "ordinal_position": 8}, {"identifier": "F60", "position": [7, 1], "step": 8, "ordinal_position": 9}, {"identifier": "K09", "position": [8, 1], "step": 9, "ordinal_position": 10}, {"identifier": "I96", "position": [9, 1], "step": 10, "ordinal_position": 11}, {"identifier": "F73", "position": [10, 1], "step": 11, "ordinal_position": 12}, {"identifier": "A70", "position": [11, 1], "step": 12, "ordinal_position": 13}, {"identifier": "F29", "position": [12, 1], "step": 13, "ordinal_position": 14}, {"identifier": "C59", "position": [13, 1], "step": 14, "ordinal_position": 15}, {"identifier": "I84", "position": [14, 1], "step": 15, "ordinal_position": 16}, {"identifier": "L28", "position": [15, 1], "step": 16, "ordinal_position": 17}, {"identifier": "M86", "position": [16, 1], "step": 17, "ordinal_position": 18}, {"identifier": "G64", "position": [17, 1], "step": 18, "ordinal_position": 19}, {"identifier": "P49", "position": [18, 1], "step": 19, "ordinal_position": 20}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 20, "direction": "left", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_018.json"}} {"qa_id": "68dd9a49b81449668f69416e46b561fe", "image_id": "L3-MazeLoop-test_21x21_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R51, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 4th position in this traversal?", "start_object_id": "R51", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [4], "ordinal_strings": ["4th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "J67", "traversal_path": [{"identifier": "R51", "position": [9, 5], "step": 0, "ordinal_position": 1}, {"identifier": "H90", "position": [10, 5], "step": 1, "ordinal_position": 2}, {"identifier": "N17", "position": [11, 5], "step": 2, "ordinal_position": 3}, {"identifier": "J67", "position": [11, 6], "step": 3, "ordinal_position": 4}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 4, "direction": "right", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_018.json"}} {"qa_id": "3d3cf414ba184eeab39924e0ba4078cb", "image_id": "L3-MazeLoop-test_21x21_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled O35, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 18th position in this traversal?", "start_object_id": "O35", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [18], "ordinal_strings": ["18th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "H90", "traversal_path": [{"identifier": "O35", "position": [7, 11], "step": 0, "ordinal_position": 1}, {"identifier": "T16", "position": [7, 10], "step": 1, "ordinal_position": 2}, {"identifier": "L82", "position": [7, 9], "step": 2, "ordinal_position": 3}, {"identifier": "K78", "position": [6, 9], "step": 3, "ordinal_position": 4}, {"identifier": "I47", "position": [5, 9], "step": 4, "ordinal_position": 5}, {"identifier": "B84", "position": [5, 8], "step": 5, "ordinal_position": 6}, {"identifier": "A92", "position": [5, 7], "step": 6, "ordinal_position": 7}, {"identifier": "A89", "position": [5, 6], "step": 7, "ordinal_position": 8}, {"identifier": "U96", "position": [5, 5], "step": 8, "ordinal_position": 9}, {"identifier": "V26", "position": [6, 5], "step": 9, "ordinal_position": 10}, {"identifier": "N49", "position": [7, 5], "step": 10, "ordinal_position": 11}, {"identifier": "M37", "position": [7, 6], "step": 11, "ordinal_position": 12}, {"identifier": "J66", "position": [7, 7], "step": 12, "ordinal_position": 13}, {"identifier": "T33", "position": [8, 7], "step": 13, "ordinal_position": 14}, {"identifier": "W32", "position": [9, 7], "step": 14, "ordinal_position": 15}, {"identifier": "M91", "position": [9, 6], "step": 15, "ordinal_position": 16}, {"identifier": "R51", "position": [9, 5], "step": 16, "ordinal_position": 17}, {"identifier": "H90", "position": [10, 5], "step": 17, "ordinal_position": 18}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 18, "direction": "up", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_018.json"}} {"qa_id": "cd38be1caab14195af271a55eaac249e", "image_id": "L3-MazeLoop-test_21x21_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K60, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 13th position in this traversal?", "start_object_id": "K60", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [13], "ordinal_strings": ["13th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "N17", "traversal_path": [{"identifier": "K60", "position": [17, 3], "step": 0, "ordinal_position": 1}, {"identifier": "H73", "position": [17, 4], "step": 1, "ordinal_position": 2}, {"identifier": "J44", "position": [17, 5], "step": 2, "ordinal_position": 3}, {"identifier": "H71", "position": [17, 6], "step": 3, "ordinal_position": 4}, {"identifier": "N69", "position": [17, 7], "step": 4, "ordinal_position": 5}, {"identifier": "P58", "position": [16, 7], "step": 5, "ordinal_position": 6}, {"identifier": "T64", "position": [15, 7], "step": 6, "ordinal_position": 7}, {"identifier": "R09", "position": [14, 7], "step": 7, "ordinal_position": 8}, {"identifier": "G00", "position": [13, 7], "step": 8, "ordinal_position": 9}, {"identifier": "C83", "position": [12, 7], "step": 9, "ordinal_position": 10}, {"identifier": "O74", "position": [11, 7], "step": 10, "ordinal_position": 11}, {"identifier": "J67", "position": [11, 6], "step": 11, "ordinal_position": 12}, {"identifier": "N17", "position": [11, 5], "step": 12, "ordinal_position": 13}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 13, "direction": "down", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_018.json"}} {"qa_id": "3e23e439a8d344778c1245a70ab97fff", "image_id": "L3-MazeLoop-test_21x21_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q14, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 7th position in this traversal?", "start_object_id": "Q14", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [7], "ordinal_strings": ["7th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Z32", "traversal_path": [{"identifier": "Q14", "position": [1, 7], "step": 0, "ordinal_position": 1}, {"identifier": "V69", "position": [1, 8], "step": 1, "ordinal_position": 2}, {"identifier": "W36", "position": [1, 9], "step": 2, "ordinal_position": 3}, {"identifier": "W96", "position": [2, 9], "step": 3, "ordinal_position": 4}, {"identifier": "L57", "position": [3, 9], "step": 4, "ordinal_position": 5}, {"identifier": "G23", "position": [3, 10], "step": 5, "ordinal_position": 6}, {"identifier": "Z32", "position": [3, 11], "step": 6, "ordinal_position": 7}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 7, "direction": "down", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_018.json"}} {"qa_id": "7929726c88574dd9bfb86d074b57afe4", "image_id": "L3-MazeLoop-test_21x21_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X50, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 95th position in this traversal?", "start_object_id": "X50", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [95], "ordinal_strings": ["95th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "J67", "traversal_path": [{"identifier": "X50", "position": [19, 16], "step": 0, "ordinal_position": 1}, {"identifier": "I54", "position": [19, 17], "step": 1, "ordinal_position": 2}, {"identifier": "V71", "position": [19, 18], "step": 2, "ordinal_position": 3}, {"identifier": "Z27", "position": [19, 19], "step": 3, "ordinal_position": 4}, {"identifier": "Z15", "position": [18, 19], "step": 4, "ordinal_position": 5}, {"identifier": "Z09", "position": [17, 19], "step": 5, "ordinal_position": 6}, {"identifier": "Q87", "position": [16, 19], "step": 6, "ordinal_position": 7}, {"identifier": "H79", "position": [15, 19], "step": 7, "ordinal_position": 8}, {"identifier": "B44", "position": [14, 19], "step": 8, "ordinal_position": 9}, {"identifier": "O60", "position": [13, 19], "step": 9, "ordinal_position": 10}, {"identifier": "I29", "position": [12, 19], "step": 10, "ordinal_position": 11}, {"identifier": "M17", "position": [11, 19], "step": 11, "ordinal_position": 12}, {"identifier": "M57", "position": [10, 19], "step": 12, "ordinal_position": 13}, {"identifier": "N21", "position": [9, 19], "step": 13, "ordinal_position": 14}, {"identifier": "J57", "position": [8, 19], "step": 14, "ordinal_position": 15}, {"identifier": "D40", "position": [7, 19], "step": 15, "ordinal_position": 16}, {"identifier": "R74", "position": [6, 19], "step": 16, "ordinal_position": 17}, {"identifier": "T55", "position": [5, 19], "step": 17, "ordinal_position": 18}, {"identifier": "N94", "position": [4, 19], "step": 18, "ordinal_position": 19}, {"identifier": "U76", "position": [3, 19], "step": 19, "ordinal_position": 20}, {"identifier": "N60", "position": [2, 19], "step": 20, "ordinal_position": 21}, {"identifier": "D10", "position": [1, 19], "step": 21, "ordinal_position": 22}, {"identifier": "M05", "position": [1, 18], "step": 22, "ordinal_position": 23}, {"identifier": "W06", "position": [1, 17], "step": 23, "ordinal_position": 24}, {"identifier": "C93", "position": [1, 16], "step": 24, "ordinal_position": 25}, {"identifier": "K99", "position": [1, 15], "step": 25, "ordinal_position": 26}, {"identifier": "W84", "position": [1, 14], "step": 26, "ordinal_position": 27}, {"identifier": "K56", "position": [1, 13], "step": 27, "ordinal_position": 28}, {"identifier": "R04", "position": [1, 12], "step": 28, "ordinal_position": 29}, {"identifier": "F92", "position": [1, 11], "step": 29, "ordinal_position": 30}, {"identifier": "Y83", "position": [2, 11], "step": 30, "ordinal_position": 31}, {"identifier": "Z32", "position": [3, 11], "step": 31, "ordinal_position": 32}, {"identifier": "H78", "position": [3, 12], "step": 32, "ordinal_position": 33}, {"identifier": "Q98", "position": [3, 13], "step": 33, "ordinal_position": 34}, {"identifier": "N87", "position": [4, 13], "step": 34, "ordinal_position": 35}, {"identifier": "I34", "position": [5, 13], "step": 35, "ordinal_position": 36}, {"identifier": "O13", "position": [5, 14], "step": 36, "ordinal_position": 37}, {"identifier": "O94", "position": [5, 15], "step": 37, "ordinal_position": 38}, {"identifier": "F44", "position": [6, 15], "step": 38, "ordinal_position": 39}, {"identifier": "H23", "position": [7, 15], "step": 39, "ordinal_position": 40}, {"identifier": "G61", "position": [8, 15], "step": 40, "ordinal_position": 41}, {"identifier": "U11", "position": [9, 15], "step": 41, "ordinal_position": 42}, {"identifier": "T05", "position": [9, 14], "step": 42, "ordinal_position": 43}, {"identifier": "L22", "position": [9, 13], "step": 43, "ordinal_position": 44}, {"identifier": "O70", "position": [9, 12], "step": 44, "ordinal_position": 45}, {"identifier": "T08", "position": [9, 11], "step": 45, "ordinal_position": 46}, {"identifier": "M44", "position": [9, 10], "step": 46, "ordinal_position": 47}, {"identifier": "W58", "position": [9, 9], "step": 47, "ordinal_position": 48}, {"identifier": "A84", "position": [10, 9], "step": 48, "ordinal_position": 49}, {"identifier": "M65", "position": [11, 9], "step": 49, "ordinal_position": 50}, {"identifier": "B19", "position": [12, 9], "step": 50, "ordinal_position": 51}, {"identifier": "C49", "position": [13, 9], "step": 51, "ordinal_position": 52}, {"identifier": "S28", "position": [14, 9], "step": 52, "ordinal_position": 53}, {"identifier": "I70", "position": [15, 9], "step": 53, "ordinal_position": 54}, {"identifier": "D68", "position": [16, 9], "step": 54, "ordinal_position": 55}, {"identifier": "X45", "position": [17, 9], "step": 55, "ordinal_position": 56}, {"identifier": "V55", "position": [17, 10], "step": 56, "ordinal_position": 57}, {"identifier": "I17", "position": [17, 11], "step": 57, "ordinal_position": 58}, {"identifier": "F14", "position": [18, 11], "step": 58, "ordinal_position": 59}, {"identifier": "D42", "position": [19, 11], "step": 59, "ordinal_position": 60}, {"identifier": "K74", "position": [19, 10], "step": 60, "ordinal_position": 61}, {"identifier": "R65", "position": [19, 9], "step": 61, "ordinal_position": 62}, {"identifier": "C73", "position": [19, 8], "step": 62, "ordinal_position": 63}, {"identifier": "L26", "position": [19, 7], "step": 63, "ordinal_position": 64}, {"identifier": "G15", "position": [19, 6], "step": 64, "ordinal_position": 65}, {"identifier": "D60", "position": [19, 5], "step": 65, "ordinal_position": 66}, {"identifier": "X38", "position": [19, 4], "step": 66, "ordinal_position": 67}, {"identifier": "G19", "position": [19, 3], "step": 67, "ordinal_position": 68}, {"identifier": "Y13", "position": [19, 2], "step": 68, "ordinal_position": 69}, {"identifier": "U18", "position": [19, 1], "step": 69, "ordinal_position": 70}, {"identifier": "P49", "position": [18, 1], "step": 70, "ordinal_position": 71}, {"identifier": "G64", "position": [17, 1], "step": 71, "ordinal_position": 72}, {"identifier": "M86", "position": [16, 1], "step": 72, "ordinal_position": 73}, {"identifier": "L28", "position": [15, 1], "step": 73, "ordinal_position": 74}, {"identifier": "I84", "position": [14, 1], "step": 74, "ordinal_position": 75}, {"identifier": "C59", "position": [13, 1], "step": 75, "ordinal_position": 76}, {"identifier": "F29", "position": [12, 1], "step": 76, "ordinal_position": 77}, {"identifier": "A70", "position": [11, 1], "step": 77, "ordinal_position": 78}, {"identifier": "F73", "position": [10, 1], "step": 78, "ordinal_position": 79}, {"identifier": "I96", "position": [9, 1], "step": 79, "ordinal_position": 80}, {"identifier": "K09", "position": [8, 1], "step": 80, "ordinal_position": 81}, {"identifier": "F60", "position": [7, 1], "step": 81, "ordinal_position": 82}, {"identifier": "H47", "position": [7, 2], "step": 82, "ordinal_position": 83}, {"identifier": "Z06", "position": [7, 3], "step": 83, "ordinal_position": 84}, {"identifier": "T44", "position": [7, 4], "step": 84, "ordinal_position": 85}, {"identifier": "N49", "position": [7, 5], "step": 85, "ordinal_position": 86}, {"identifier": "M37", "position": [7, 6], "step": 86, "ordinal_position": 87}, {"identifier": "J66", "position": [7, 7], "step": 87, "ordinal_position": 88}, {"identifier": "T33", "position": [8, 7], "step": 88, "ordinal_position": 89}, {"identifier": "W32", "position": [9, 7], "step": 89, "ordinal_position": 90}, {"identifier": "M91", "position": [9, 6], "step": 90, "ordinal_position": 91}, {"identifier": "R51", "position": [9, 5], "step": 91, "ordinal_position": 92}, {"identifier": "H90", "position": [10, 5], "step": 92, "ordinal_position": 93}, {"identifier": "N17", "position": [11, 5], "step": 93, "ordinal_position": 94}, {"identifier": "J67", "position": [11, 6], "step": 94, "ordinal_position": 95}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 95, "direction": "down", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_018.json"}} {"qa_id": "f36c77e8c3c94d31a21e449f6127aa24", "image_id": "L3-MazeLoop-test_21x21_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X50, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 29th position in this traversal?", "start_object_id": "X50", "directions": ["up"], "turn_preferences": ["left"], "ordinal_numbers": [29], "ordinal_strings": ["29th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "O13", "traversal_path": [{"identifier": "X50", "position": [19, 16], "step": 0, "ordinal_position": 1}, {"identifier": "M23", "position": [19, 15], "step": 1, "ordinal_position": 2}, {"identifier": "B50", "position": [19, 14], "step": 2, "ordinal_position": 3}, {"identifier": "I78", "position": [19, 13], "step": 3, "ordinal_position": 4}, {"identifier": "R11", "position": [18, 13], "step": 4, "ordinal_position": 5}, {"identifier": "Z18", "position": [17, 13], "step": 5, "ordinal_position": 6}, {"identifier": "C70", "position": [16, 13], "step": 6, "ordinal_position": 7}, {"identifier": "U74", "position": [15, 13], "step": 7, "ordinal_position": 8}, {"identifier": "L64", "position": [15, 12], "step": 8, "ordinal_position": 9}, {"identifier": "A52", "position": [15, 11], "step": 9, "ordinal_position": 10}, {"identifier": "A58", "position": [15, 10], "step": 10, "ordinal_position": 11}, {"identifier": "I70", "position": [15, 9], "step": 11, "ordinal_position": 12}, {"identifier": "S28", "position": [14, 9], "step": 12, "ordinal_position": 13}, {"identifier": "C49", "position": [13, 9], "step": 13, "ordinal_position": 14}, {"identifier": "B19", "position": [12, 9], "step": 14, "ordinal_position": 15}, {"identifier": "M65", "position": [11, 9], "step": 15, "ordinal_position": 16}, {"identifier": "A84", "position": [10, 9], "step": 16, "ordinal_position": 17}, {"identifier": "W58", "position": [9, 9], "step": 17, "ordinal_position": 18}, {"identifier": "M44", "position": [9, 10], "step": 18, "ordinal_position": 19}, {"identifier": "T08", "position": [9, 11], "step": 19, "ordinal_position": 20}, {"identifier": "O70", "position": [9, 12], "step": 20, "ordinal_position": 21}, {"identifier": "L22", "position": [9, 13], "step": 21, "ordinal_position": 22}, {"identifier": "T05", "position": [9, 14], "step": 22, "ordinal_position": 23}, {"identifier": "U11", "position": [9, 15], "step": 23, "ordinal_position": 24}, {"identifier": "G61", "position": [8, 15], "step": 24, "ordinal_position": 25}, {"identifier": "H23", "position": [7, 15], "step": 25, "ordinal_position": 26}, {"identifier": "F44", "position": [6, 15], "step": 26, "ordinal_position": 27}, {"identifier": "O94", "position": [5, 15], "step": 27, "ordinal_position": 28}, {"identifier": "O13", "position": [5, 14], "step": 28, "ordinal_position": 29}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 29, "direction": "up", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_018.json"}} {"qa_id": "ebf7b536206a48128ed38747aeb78586", "image_id": "L3-MazeLoop-test_21x21_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T15, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 54th position in this traversal?", "start_object_id": "T15", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [54], "ordinal_strings": ["54th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "X38", "traversal_path": [{"identifier": "T15", "position": [5, 3], "step": 0, "ordinal_position": 1}, {"identifier": "S60", "position": [5, 2], "step": 1, "ordinal_position": 2}, {"identifier": "J42", "position": [5, 1], "step": 2, "ordinal_position": 3}, {"identifier": "J92", "position": [4, 1], "step": 3, "ordinal_position": 4}, {"identifier": "Z61", "position": [3, 1], "step": 4, "ordinal_position": 5}, {"identifier": "H82", "position": [2, 1], "step": 5, "ordinal_position": 6}, {"identifier": "K58", "position": [1, 1], "step": 6, "ordinal_position": 7}, {"identifier": "S20", "position": [1, 2], "step": 7, "ordinal_position": 8}, {"identifier": "I58", "position": [1, 3], "step": 8, "ordinal_position": 9}, {"identifier": "O95", "position": [1, 4], "step": 9, "ordinal_position": 10}, {"identifier": "P94", "position": [1, 5], "step": 10, "ordinal_position": 11}, {"identifier": "G86", "position": [1, 6], "step": 11, "ordinal_position": 12}, {"identifier": "Q14", "position": [1, 7], "step": 12, "ordinal_position": 13}, {"identifier": "V69", "position": [1, 8], "step": 13, "ordinal_position": 14}, {"identifier": "W36", "position": [1, 9], "step": 14, "ordinal_position": 15}, {"identifier": "W96", "position": [2, 9], "step": 15, "ordinal_position": 16}, {"identifier": "L57", "position": [3, 9], "step": 16, "ordinal_position": 17}, {"identifier": "G23", "position": [3, 10], "step": 17, "ordinal_position": 18}, {"identifier": "Z32", "position": [3, 11], "step": 18, "ordinal_position": 19}, {"identifier": "H78", "position": [3, 12], "step": 19, "ordinal_position": 20}, {"identifier": "Q98", "position": [3, 13], "step": 20, "ordinal_position": 21}, {"identifier": "N87", "position": [4, 13], "step": 21, "ordinal_position": 22}, {"identifier": "I34", "position": [5, 13], "step": 22, "ordinal_position": 23}, {"identifier": "O13", "position": [5, 14], "step": 23, "ordinal_position": 24}, {"identifier": "O94", "position": [5, 15], "step": 24, "ordinal_position": 25}, {"identifier": "F44", "position": [6, 15], "step": 25, "ordinal_position": 26}, {"identifier": "H23", "position": [7, 15], "step": 26, "ordinal_position": 27}, {"identifier": "G61", "position": [8, 15], "step": 27, "ordinal_position": 28}, {"identifier": "U11", "position": [9, 15], "step": 28, "ordinal_position": 29}, {"identifier": "T05", "position": [9, 14], "step": 29, "ordinal_position": 30}, {"identifier": "L22", "position": [9, 13], "step": 30, "ordinal_position": 31}, {"identifier": "O70", "position": [9, 12], "step": 31, "ordinal_position": 32}, {"identifier": "T08", "position": [9, 11], "step": 32, "ordinal_position": 33}, {"identifier": "M44", "position": [9, 10], "step": 33, "ordinal_position": 34}, {"identifier": "W58", "position": [9, 9], "step": 34, "ordinal_position": 35}, {"identifier": "A84", "position": [10, 9], "step": 35, "ordinal_position": 36}, {"identifier": "M65", "position": [11, 9], "step": 36, "ordinal_position": 37}, {"identifier": "B19", "position": [12, 9], "step": 37, "ordinal_position": 38}, {"identifier": "C49", "position": [13, 9], "step": 38, "ordinal_position": 39}, {"identifier": "S28", "position": [14, 9], "step": 39, "ordinal_position": 40}, {"identifier": "I70", "position": [15, 9], "step": 40, "ordinal_position": 41}, {"identifier": "D68", "position": [16, 9], "step": 41, "ordinal_position": 42}, {"identifier": "X45", "position": [17, 9], "step": 42, "ordinal_position": 43}, {"identifier": "V55", "position": [17, 10], "step": 43, "ordinal_position": 44}, {"identifier": "I17", "position": [17, 11], "step": 44, "ordinal_position": 45}, {"identifier": "F14", "position": [18, 11], "step": 45, "ordinal_position": 46}, {"identifier": "D42", "position": [19, 11], "step": 46, "ordinal_position": 47}, {"identifier": "K74", "position": [19, 10], "step": 47, "ordinal_position": 48}, {"identifier": "R65", "position": [19, 9], "step": 48, "ordinal_position": 49}, {"identifier": "C73", "position": [19, 8], "step": 49, "ordinal_position": 50}, {"identifier": "L26", "position": [19, 7], "step": 50, "ordinal_position": 51}, {"identifier": "G15", "position": [19, 6], "step": 51, "ordinal_position": 52}, {"identifier": "D60", "position": [19, 5], "step": 52, "ordinal_position": 53}, {"identifier": "X38", "position": [19, 4], "step": 53, "ordinal_position": 54}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 54, "direction": "up", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_018.json"}} {"qa_id": "60c54f966ddb484b816b99e33c219c64", "image_id": "L3-MazeLoop-test_21x21_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X50, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 25th position in this traversal?", "start_object_id": "X50", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [25], "ordinal_strings": ["25th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "X38", "traversal_path": [{"identifier": "X50", "position": [19, 16], "step": 0, "ordinal_position": 1}, {"identifier": "M23", "position": [19, 15], "step": 1, "ordinal_position": 2}, {"identifier": "B50", "position": [19, 14], "step": 2, "ordinal_position": 3}, {"identifier": "I78", "position": [19, 13], "step": 3, "ordinal_position": 4}, {"identifier": "R11", "position": [18, 13], "step": 4, "ordinal_position": 5}, {"identifier": "Z18", "position": [17, 13], "step": 5, "ordinal_position": 6}, {"identifier": "C70", "position": [16, 13], "step": 6, "ordinal_position": 7}, {"identifier": "U74", "position": [15, 13], "step": 7, "ordinal_position": 8}, {"identifier": "L64", "position": [15, 12], "step": 8, "ordinal_position": 9}, {"identifier": "A52", "position": [15, 11], "step": 9, "ordinal_position": 10}, {"identifier": "A58", "position": [15, 10], "step": 10, "ordinal_position": 11}, {"identifier": "I70", "position": [15, 9], "step": 11, "ordinal_position": 12}, {"identifier": "D68", "position": [16, 9], "step": 12, "ordinal_position": 13}, {"identifier": "X45", "position": [17, 9], "step": 13, "ordinal_position": 14}, {"identifier": "V55", "position": [17, 10], "step": 14, "ordinal_position": 15}, {"identifier": "I17", "position": [17, 11], "step": 15, "ordinal_position": 16}, {"identifier": "F14", "position": [18, 11], "step": 16, "ordinal_position": 17}, {"identifier": "D42", "position": [19, 11], "step": 17, "ordinal_position": 18}, {"identifier": "K74", "position": [19, 10], "step": 18, "ordinal_position": 19}, {"identifier": "R65", "position": [19, 9], "step": 19, "ordinal_position": 20}, {"identifier": "C73", "position": [19, 8], "step": 20, "ordinal_position": 21}, {"identifier": "L26", "position": [19, 7], "step": 21, "ordinal_position": 22}, {"identifier": "G15", "position": [19, 6], "step": 22, "ordinal_position": 23}, {"identifier": "D60", "position": [19, 5], "step": 23, "ordinal_position": 24}, {"identifier": "X38", "position": [19, 4], "step": 24, "ordinal_position": 25}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 25, "direction": "up", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_018.json"}} {"qa_id": "9930ea7f8644474f8f33493b7333eecc", "image_id": "L3-MazeLoop-test_21x21_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R74, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 74th position in this traversal?", "start_object_id": "R74", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [74], "ordinal_strings": ["74th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "T64", "traversal_path": [{"identifier": "R74", "position": [6, 19], "step": 0, "ordinal_position": 1}, {"identifier": "D40", "position": [7, 19], "step": 1, "ordinal_position": 2}, {"identifier": "J57", "position": [8, 19], "step": 2, "ordinal_position": 3}, {"identifier": "N21", "position": [9, 19], "step": 3, "ordinal_position": 4}, {"identifier": "M57", "position": [10, 19], "step": 4, "ordinal_position": 5}, {"identifier": "M17", "position": [11, 19], "step": 5, "ordinal_position": 6}, {"identifier": "I29", "position": [12, 19], "step": 6, "ordinal_position": 7}, {"identifier": "O60", "position": [13, 19], "step": 7, "ordinal_position": 8}, {"identifier": "B44", "position": [14, 19], "step": 8, "ordinal_position": 9}, {"identifier": "H79", "position": [15, 19], "step": 9, "ordinal_position": 10}, {"identifier": "Q87", "position": [16, 19], "step": 10, "ordinal_position": 11}, {"identifier": "Z09", "position": [17, 19], "step": 11, "ordinal_position": 12}, {"identifier": "Z15", "position": [18, 19], "step": 12, "ordinal_position": 13}, {"identifier": "Z27", "position": [19, 19], "step": 13, "ordinal_position": 14}, {"identifier": "V71", "position": [19, 18], "step": 14, "ordinal_position": 15}, {"identifier": "I54", "position": [19, 17], "step": 15, "ordinal_position": 16}, {"identifier": "X50", "position": [19, 16], "step": 16, "ordinal_position": 17}, {"identifier": "M23", "position": [19, 15], "step": 17, "ordinal_position": 18}, {"identifier": "B50", "position": [19, 14], "step": 18, "ordinal_position": 19}, {"identifier": "I78", "position": [19, 13], "step": 19, "ordinal_position": 20}, {"identifier": "R11", "position": [18, 13], "step": 20, "ordinal_position": 21}, {"identifier": "Z18", "position": [17, 13], "step": 21, "ordinal_position": 22}, {"identifier": "C70", "position": [16, 13], "step": 22, "ordinal_position": 23}, {"identifier": "U74", "position": [15, 13], "step": 23, "ordinal_position": 24}, {"identifier": "L64", "position": [15, 12], "step": 24, "ordinal_position": 25}, {"identifier": "A52", "position": [15, 11], "step": 25, "ordinal_position": 26}, {"identifier": "A58", "position": [15, 10], "step": 26, "ordinal_position": 27}, {"identifier": "I70", "position": [15, 9], "step": 27, "ordinal_position": 28}, {"identifier": "D68", "position": [16, 9], "step": 28, "ordinal_position": 29}, {"identifier": "X45", "position": [17, 9], "step": 29, "ordinal_position": 30}, {"identifier": "V55", "position": [17, 10], "step": 30, "ordinal_position": 31}, {"identifier": "I17", "position": [17, 11], "step": 31, "ordinal_position": 32}, {"identifier": "F14", "position": [18, 11], "step": 32, "ordinal_position": 33}, {"identifier": "D42", "position": [19, 11], "step": 33, "ordinal_position": 34}, {"identifier": "K74", "position": [19, 10], "step": 34, "ordinal_position": 35}, {"identifier": "R65", "position": [19, 9], "step": 35, "ordinal_position": 36}, {"identifier": "C73", "position": [19, 8], "step": 36, "ordinal_position": 37}, {"identifier": "L26", "position": [19, 7], "step": 37, "ordinal_position": 38}, {"identifier": "G15", "position": [19, 6], "step": 38, "ordinal_position": 39}, {"identifier": "D60", "position": [19, 5], "step": 39, "ordinal_position": 40}, {"identifier": "X38", "position": [19, 4], "step": 40, "ordinal_position": 41}, {"identifier": "G19", "position": [19, 3], "step": 41, "ordinal_position": 42}, {"identifier": "Y13", "position": [19, 2], "step": 42, "ordinal_position": 43}, {"identifier": "U18", "position": [19, 1], "step": 43, "ordinal_position": 44}, {"identifier": "P49", "position": [18, 1], "step": 44, "ordinal_position": 45}, {"identifier": "G64", "position": [17, 1], "step": 45, "ordinal_position": 46}, {"identifier": "M86", "position": [16, 1], "step": 46, "ordinal_position": 47}, {"identifier": "L28", "position": [15, 1], "step": 47, "ordinal_position": 48}, {"identifier": "I84", "position": [14, 1], "step": 48, "ordinal_position": 49}, {"identifier": "C59", "position": [13, 1], "step": 49, "ordinal_position": 50}, {"identifier": "F29", "position": [12, 1], "step": 50, "ordinal_position": 51}, {"identifier": "A70", "position": [11, 1], "step": 51, "ordinal_position": 52}, {"identifier": "F73", "position": [10, 1], "step": 52, "ordinal_position": 53}, {"identifier": "I96", "position": [9, 1], "step": 53, "ordinal_position": 54}, {"identifier": "K09", "position": [8, 1], "step": 54, "ordinal_position": 55}, {"identifier": "F60", "position": [7, 1], "step": 55, "ordinal_position": 56}, {"identifier": "H47", "position": [7, 2], "step": 56, "ordinal_position": 57}, {"identifier": "Z06", "position": [7, 3], "step": 57, "ordinal_position": 58}, {"identifier": "T44", "position": [7, 4], "step": 58, "ordinal_position": 59}, {"identifier": "N49", "position": [7, 5], "step": 59, "ordinal_position": 60}, {"identifier": "M37", "position": [7, 6], "step": 60, "ordinal_position": 61}, {"identifier": "J66", "position": [7, 7], "step": 61, "ordinal_position": 62}, {"identifier": "T33", "position": [8, 7], "step": 62, "ordinal_position": 63}, {"identifier": "W32", "position": [9, 7], "step": 63, "ordinal_position": 64}, {"identifier": "M91", "position": [9, 6], "step": 64, "ordinal_position": 65}, {"identifier": "R51", "position": [9, 5], "step": 65, "ordinal_position": 66}, {"identifier": "H90", "position": [10, 5], "step": 66, "ordinal_position": 67}, {"identifier": "N17", "position": [11, 5], "step": 67, "ordinal_position": 68}, {"identifier": "J67", "position": [11, 6], "step": 68, "ordinal_position": 69}, {"identifier": "O74", "position": [11, 7], "step": 69, "ordinal_position": 70}, {"identifier": "C83", "position": [12, 7], "step": 70, "ordinal_position": 71}, {"identifier": "G00", "position": [13, 7], "step": 71, "ordinal_position": 72}, {"identifier": "R09", "position": [14, 7], "step": 72, "ordinal_position": 73}, {"identifier": "T64", "position": [15, 7], "step": 73, "ordinal_position": 74}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 74, "direction": "right", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_018.json"}} {"qa_id": "ec1281cda86849e180e9699d2d47b522", "image_id": "L3-MazeLoop-test_21x21_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I70, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 240th position in this traversal?", "start_object_id": "I70", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [240], "ordinal_strings": ["240th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "X38", "traversal_path": [{"identifier": "I70", "position": [15, 9], "step": 0, "ordinal_position": 1}, {"identifier": "S28", "position": [14, 9], "step": 1, "ordinal_position": 2}, {"identifier": "C49", "position": [13, 9], "step": 2, "ordinal_position": 3}, {"identifier": "B19", "position": [12, 9], "step": 3, "ordinal_position": 4}, {"identifier": "M65", "position": [11, 9], "step": 4, "ordinal_position": 5}, {"identifier": "A84", "position": [10, 9], "step": 5, "ordinal_position": 6}, {"identifier": "W58", "position": [9, 9], "step": 6, "ordinal_position": 7}, {"identifier": "M44", "position": [9, 10], "step": 7, "ordinal_position": 8}, {"identifier": "T08", "position": [9, 11], "step": 8, "ordinal_position": 9}, {"identifier": "O70", "position": [9, 12], "step": 9, "ordinal_position": 10}, {"identifier": "L22", "position": [9, 13], "step": 10, "ordinal_position": 11}, {"identifier": "T05", "position": [9, 14], "step": 11, "ordinal_position": 12}, {"identifier": "U11", "position": [9, 15], "step": 12, "ordinal_position": 13}, {"identifier": "G61", "position": [8, 15], "step": 13, "ordinal_position": 14}, {"identifier": "H23", "position": [7, 15], "step": 14, "ordinal_position": 15}, {"identifier": "F44", "position": [6, 15], "step": 15, "ordinal_position": 16}, {"identifier": "O94", "position": [5, 15], "step": 16, "ordinal_position": 17}, {"identifier": "O13", "position": [5, 14], "step": 17, "ordinal_position": 18}, {"identifier": "I34", "position": [5, 13], "step": 18, "ordinal_position": 19}, {"identifier": "G82", "position": [5, 12], "step": 19, "ordinal_position": 20}, {"identifier": "X94", "position": [5, 11], "step": 20, "ordinal_position": 21}, {"identifier": "L97", "position": [5, 10], "step": 21, "ordinal_position": 22}, {"identifier": "I47", "position": [5, 9], "step": 22, "ordinal_position": 23}, {"identifier": "B84", "position": [5, 8], "step": 23, "ordinal_position": 24}, {"identifier": "A92", "position": [5, 7], "step": 24, "ordinal_position": 25}, {"identifier": "A89", "position": [5, 6], "step": 25, "ordinal_position": 26}, {"identifier": "U96", "position": [5, 5], "step": 26, "ordinal_position": 27}, {"identifier": "V26", "position": [6, 5], "step": 27, "ordinal_position": 28}, {"identifier": "N49", "position": [7, 5], "step": 28, "ordinal_position": 29}, {"identifier": "M37", "position": [7, 6], "step": 29, "ordinal_position": 30}, {"identifier": "J66", "position": [7, 7], "step": 30, "ordinal_position": 31}, {"identifier": "T33", "position": [8, 7], "step": 31, "ordinal_position": 32}, {"identifier": "W32", "position": [9, 7], "step": 32, "ordinal_position": 33}, {"identifier": "M91", "position": [9, 6], "step": 33, "ordinal_position": 34}, {"identifier": "R51", "position": [9, 5], "step": 34, "ordinal_position": 35}, {"identifier": "H90", "position": [10, 5], "step": 35, "ordinal_position": 36}, {"identifier": "N17", "position": [11, 5], "step": 36, "ordinal_position": 37}, {"identifier": "J67", "position": [11, 6], "step": 37, "ordinal_position": 38}, {"identifier": "O74", "position": [11, 7], "step": 38, "ordinal_position": 39}, {"identifier": "C83", "position": [12, 7], "step": 39, "ordinal_position": 40}, {"identifier": "G00", "position": [13, 7], "step": 40, "ordinal_position": 41}, {"identifier": "R09", "position": [14, 7], "step": 41, "ordinal_position": 42}, {"identifier": "T64", "position": [15, 7], "step": 42, "ordinal_position": 43}, {"identifier": "P58", "position": [16, 7], "step": 43, "ordinal_position": 44}, {"identifier": "N69", "position": [17, 7], "step": 44, "ordinal_position": 45}, {"identifier": "H71", "position": [17, 6], "step": 45, "ordinal_position": 46}, {"identifier": "J44", "position": [17, 5], "step": 46, "ordinal_position": 47}, {"identifier": "H73", "position": [17, 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{"identifier": "A70", "position": [11, 1], "step": 60, "ordinal_position": 61}, {"identifier": "F29", "position": [12, 1], "step": 61, "ordinal_position": 62}, {"identifier": "C59", "position": [13, 1], "step": 62, "ordinal_position": 63}, {"identifier": "I84", "position": [14, 1], "step": 63, "ordinal_position": 64}, {"identifier": "L28", "position": [15, 1], "step": 64, "ordinal_position": 65}, {"identifier": "M86", "position": [16, 1], "step": 65, "ordinal_position": 66}, {"identifier": "G64", "position": [17, 1], "step": 66, "ordinal_position": 67}, {"identifier": "P49", "position": [18, 1], "step": 67, "ordinal_position": 68}, {"identifier": "U18", "position": [19, 1], "step": 68, "ordinal_position": 69}, {"identifier": "Y13", "position": [19, 2], "step": 69, "ordinal_position": 70}, {"identifier": "G19", "position": [19, 3], "step": 70, "ordinal_position": 71}, {"identifier": "X38", "position": [19, 4], "step": 71, "ordinal_position": 72}, {"identifier": "D60", "position": [19, 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{"identifier": "O74", "position": [11, 7], "step": 122, "ordinal_position": 123}, {"identifier": "C83", "position": [12, 7], "step": 123, "ordinal_position": 124}, {"identifier": "G00", "position": [13, 7], "step": 124, "ordinal_position": 125}, {"identifier": "R09", "position": [14, 7], "step": 125, "ordinal_position": 126}, {"identifier": "T64", "position": [15, 7], "step": 126, "ordinal_position": 127}, {"identifier": "P58", "position": [16, 7], "step": 127, "ordinal_position": 128}, {"identifier": "N69", "position": [17, 7], "step": 128, "ordinal_position": 129}, {"identifier": "H71", "position": [17, 6], "step": 129, "ordinal_position": 130}, {"identifier": "J44", "position": [17, 5], "step": 130, "ordinal_position": 131}, {"identifier": "H73", "position": [17, 4], "step": 131, "ordinal_position": 132}, {"identifier": "K60", "position": [17, 3], "step": 132, "ordinal_position": 133}, {"identifier": "A75", "position": [16, 3], "step": 133, "ordinal_position": 134}, {"identifier": 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[13, 1], "step": 146, "ordinal_position": 147}, {"identifier": "I84", "position": [14, 1], "step": 147, "ordinal_position": 148}, {"identifier": "L28", "position": [15, 1], "step": 148, "ordinal_position": 149}, {"identifier": "M86", "position": [16, 1], "step": 149, "ordinal_position": 150}, {"identifier": "G64", "position": [17, 1], "step": 150, "ordinal_position": 151}, {"identifier": "P49", "position": [18, 1], "step": 151, "ordinal_position": 152}, {"identifier": "U18", "position": [19, 1], "step": 152, "ordinal_position": 153}, {"identifier": "Y13", "position": [19, 2], "step": 153, "ordinal_position": 154}, {"identifier": "G19", "position": [19, 3], "step": 154, "ordinal_position": 155}, {"identifier": "X38", "position": [19, 4], "step": 155, "ordinal_position": 156}, {"identifier": "D60", "position": [19, 5], "step": 156, "ordinal_position": 157}, {"identifier": "G15", "position": [19, 6], "step": 157, "ordinal_position": 158}, {"identifier": "L26", "position": [19, 7], "step": 158, "ordinal_position": 159}, {"identifier": "C73", "position": [19, 8], "step": 159, "ordinal_position": 160}, {"identifier": "R65", "position": [19, 9], "step": 160, "ordinal_position": 161}, {"identifier": "K74", "position": [19, 10], "step": 161, "ordinal_position": 162}, {"identifier": "D42", "position": [19, 11], "step": 162, "ordinal_position": 163}, {"identifier": "F14", "position": [18, 11], "step": 163, "ordinal_position": 164}, {"identifier": "I17", "position": [17, 11], "step": 164, "ordinal_position": 165}, {"identifier": "V55", "position": [17, 10], "step": 165, "ordinal_position": 166}, {"identifier": "X45", "position": [17, 9], "step": 166, "ordinal_position": 167}, {"identifier": "D68", "position": [16, 9], "step": 167, "ordinal_position": 168}, {"identifier": "I70", "position": [15, 9], "step": 168, "ordinal_position": 169}, {"identifier": "S28", "position": [14, 9], "step": 169, "ordinal_position": 170}, {"identifier": "C49", "position": [13, 9], "step": 170, 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"ordinal_position": 183}, {"identifier": "F44", "position": [6, 15], "step": 183, "ordinal_position": 184}, {"identifier": "O94", "position": [5, 15], "step": 184, "ordinal_position": 185}, {"identifier": "O13", "position": [5, 14], "step": 185, "ordinal_position": 186}, {"identifier": "I34", "position": [5, 13], "step": 186, "ordinal_position": 187}, {"identifier": "G82", "position": [5, 12], "step": 187, "ordinal_position": 188}, {"identifier": "X94", "position": [5, 11], "step": 188, "ordinal_position": 189}, {"identifier": "L97", "position": [5, 10], "step": 189, "ordinal_position": 190}, {"identifier": "I47", "position": [5, 9], "step": 190, "ordinal_position": 191}, {"identifier": "B84", "position": [5, 8], "step": 191, "ordinal_position": 192}, {"identifier": "A92", "position": [5, 7], "step": 192, "ordinal_position": 193}, {"identifier": "A89", "position": [5, 6], "step": 193, "ordinal_position": 194}, {"identifier": "U96", "position": [5, 5], "step": 194, "ordinal_position": 195}, {"identifier": "V26", "position": [6, 5], "step": 195, "ordinal_position": 196}, {"identifier": "N49", "position": [7, 5], "step": 196, "ordinal_position": 197}, {"identifier": "M37", "position": [7, 6], "step": 197, "ordinal_position": 198}, {"identifier": "J66", "position": [7, 7], "step": 198, "ordinal_position": 199}, {"identifier": "T33", "position": [8, 7], "step": 199, "ordinal_position": 200}, {"identifier": "W32", "position": [9, 7], "step": 200, "ordinal_position": 201}, {"identifier": "M91", "position": [9, 6], "step": 201, "ordinal_position": 202}, {"identifier": "R51", "position": [9, 5], "step": 202, "ordinal_position": 203}, {"identifier": "H90", "position": [10, 5], "step": 203, "ordinal_position": 204}, {"identifier": "N17", "position": [11, 5], "step": 204, "ordinal_position": 205}, {"identifier": "J67", "position": [11, 6], "step": 205, "ordinal_position": 206}, {"identifier": "O74", "position": [11, 7], "step": 206, "ordinal_position": 207}, {"identifier": "C83", "position": [12, 7], "step": 207, "ordinal_position": 208}, {"identifier": "G00", "position": [13, 7], "step": 208, "ordinal_position": 209}, {"identifier": "R09", "position": [14, 7], "step": 209, "ordinal_position": 210}, {"identifier": "T64", "position": [15, 7], "step": 210, "ordinal_position": 211}, {"identifier": "P58", "position": [16, 7], "step": 211, "ordinal_position": 212}, {"identifier": "N69", "position": [17, 7], "step": 212, "ordinal_position": 213}, {"identifier": "H71", "position": [17, 6], "step": 213, "ordinal_position": 214}, {"identifier": "J44", "position": [17, 5], "step": 214, "ordinal_position": 215}, {"identifier": "H73", "position": [17, 4], "step": 215, "ordinal_position": 216}, {"identifier": "K60", "position": [17, 3], "step": 216, "ordinal_position": 217}, {"identifier": "A75", "position": [16, 3], "step": 217, "ordinal_position": 218}, {"identifier": "J02", "position": [15, 3], "step": 218, "ordinal_position": 219}, {"identifier": "I03", "position": [14, 3], "step": 219, "ordinal_position": 220}, {"identifier": "N19", "position": [13, 3], "step": 220, "ordinal_position": 221}, {"identifier": "V30", "position": [12, 3], "step": 221, "ordinal_position": 222}, {"identifier": "V49", "position": [11, 3], "step": 222, "ordinal_position": 223}, {"identifier": "V33", "position": [10, 3], "step": 223, "ordinal_position": 224}, {"identifier": "P07", "position": [9, 3], "step": 224, "ordinal_position": 225}, {"identifier": "X64", "position": [9, 2], "step": 225, "ordinal_position": 226}, {"identifier": "I96", "position": [9, 1], "step": 226, "ordinal_position": 227}, {"identifier": "F73", "position": [10, 1], "step": 227, "ordinal_position": 228}, {"identifier": "A70", "position": [11, 1], "step": 228, "ordinal_position": 229}, {"identifier": "F29", "position": [12, 1], "step": 229, "ordinal_position": 230}, {"identifier": "C59", "position": [13, 1], "step": 230, "ordinal_position": 231}, {"identifier": "I84", "position": [14, 1], "step": 231, "ordinal_position": 232}, {"identifier": "L28", "position": [15, 1], "step": 232, "ordinal_position": 233}, {"identifier": "M86", "position": [16, 1], "step": 233, "ordinal_position": 234}, {"identifier": "G64", "position": [17, 1], "step": 234, "ordinal_position": 235}, {"identifier": "P49", "position": [18, 1], "step": 235, "ordinal_position": 236}, {"identifier": "U18", "position": [19, 1], "step": 236, "ordinal_position": 237}, {"identifier": "Y13", "position": [19, 2], "step": 237, "ordinal_position": 238}, {"identifier": "G19", "position": [19, 3], "step": 238, "ordinal_position": 239}, {"identifier": "X38", "position": [19, 4], "step": 239, "ordinal_position": 240}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 240, "direction": "left", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_018.json"}} {"qa_id": "666d8f995bb64a709bcb5538f4e35795", "image_id": "L3-MazeLoop-test_21x21_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled I70, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 216th position in this traversal?", "start_object_id": "I70", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [216], "ordinal_strings": ["216th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "P58", "traversal_path": [{"identifier": "I70", "position": [15, 9], "step": 0, "ordinal_position": 1}, {"identifier": "D68", "position": [16, 9], "step": 1, "ordinal_position": 2}, {"identifier": "X45", "position": [17, 9], "step": 2, "ordinal_position": 3}, {"identifier": "V55", "position": [17, 10], "step": 3, "ordinal_position": 4}, {"identifier": "I17", "position": [17, 11], "step": 4, "ordinal_position": 5}, {"identifier": "F14", "position": [18, 11], "step": 5, "ordinal_position": 6}, {"identifier": "D42", "position": [19, 11], "step": 6, "ordinal_position": 7}, {"identifier": "K74", "position": [19, 10], "step": 7, "ordinal_position": 8}, {"identifier": "R65", "position": [19, 9], "step": 8, "ordinal_position": 9}, {"identifier": "C73", "position": [19, 8], "step": 9, "ordinal_position": 10}, {"identifier": "L26", "position": [19, 7], "step": 10, "ordinal_position": 11}, {"identifier": "G15", "position": [19, 6], "step": 11, "ordinal_position": 12}, {"identifier": "D60", "position": [19, 5], "step": 12, "ordinal_position": 13}, {"identifier": "X38", "position": [19, 4], "step": 13, "ordinal_position": 14}, {"identifier": "G19", "position": [19, 3], "step": 14, "ordinal_position": 15}, {"identifier": "Y13", "position": [19, 2], "step": 15, "ordinal_position": 16}, {"identifier": "U18", "position": [19, 1], "step": 16, "ordinal_position": 17}, {"identifier": "P49", "position": [18, 1], "step": 17, "ordinal_position": 18}, {"identifier": "G64", "position": [17, 1], "step": 18, "ordinal_position": 19}, {"identifier": "M86", "position": [16, 1], "step": 19, "ordinal_position": 20}, {"identifier": "L28", "position": [15, 1], "step": 20, "ordinal_position": 21}, {"identifier": "I84", "position": [14, 1], "step": 21, "ordinal_position": 22}, {"identifier": "C59", "position": [13, 1], "step": 22, "ordinal_position": 23}, {"identifier": "F29", "position": [12, 1], "step": 23, "ordinal_position": 24}, {"identifier": "A70", "position": [11, 1], "step": 24, "ordinal_position": 25}, {"identifier": "F73", "position": [10, 1], "step": 25, "ordinal_position": 26}, {"identifier": "I96", "position": [9, 1], "step": 26, "ordinal_position": 27}, {"identifier": "K09", "position": [8, 1], "step": 27, "ordinal_position": 28}, {"identifier": "F60", "position": [7, 1], "step": 28, "ordinal_position": 29}, {"identifier": "H47", "position": [7, 2], "step": 29, "ordinal_position": 30}, {"identifier": "Z06", "position": [7, 3], "step": 30, "ordinal_position": 31}, {"identifier": "T44", "position": [7, 4], "step": 31, "ordinal_position": 32}, {"identifier": "N49", "position": [7, 5], "step": 32, "ordinal_position": 33}, {"identifier": "M37", "position": [7, 6], "step": 33, "ordinal_position": 34}, {"identifier": "J66", "position": [7, 7], "step": 34, 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"ordinal_position": 158}, {"identifier": "G19", "position": [19, 3], "step": 158, "ordinal_position": 159}, {"identifier": "X38", "position": [19, 4], "step": 159, "ordinal_position": 160}, {"identifier": "D60", "position": [19, 5], "step": 160, "ordinal_position": 161}, {"identifier": "G15", "position": [19, 6], "step": 161, "ordinal_position": 162}, {"identifier": "L26", "position": [19, 7], "step": 162, "ordinal_position": 163}, {"identifier": "C73", "position": [19, 8], "step": 163, "ordinal_position": 164}, {"identifier": "R65", "position": [19, 9], "step": 164, "ordinal_position": 165}, {"identifier": "K74", "position": [19, 10], "step": 165, "ordinal_position": 166}, {"identifier": "D42", "position": [19, 11], "step": 166, "ordinal_position": 167}, {"identifier": "F14", "position": [18, 11], "step": 167, "ordinal_position": 168}, {"identifier": "I17", "position": [17, 11], "step": 168, "ordinal_position": 169}, {"identifier": "V55", "position": [17, 10], "step": 169, 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"ordinal_position": 194}, {"identifier": "I47", "position": [5, 9], "step": 194, "ordinal_position": 195}, {"identifier": "B84", "position": [5, 8], "step": 195, "ordinal_position": 196}, {"identifier": "A92", "position": [5, 7], "step": 196, "ordinal_position": 197}, {"identifier": "A89", "position": [5, 6], "step": 197, "ordinal_position": 198}, {"identifier": "U96", "position": [5, 5], "step": 198, "ordinal_position": 199}, {"identifier": "V26", "position": [6, 5], "step": 199, "ordinal_position": 200}, {"identifier": "N49", "position": [7, 5], "step": 200, "ordinal_position": 201}, {"identifier": "M37", "position": [7, 6], "step": 201, "ordinal_position": 202}, {"identifier": "J66", "position": [7, 7], "step": 202, "ordinal_position": 203}, {"identifier": "T33", "position": [8, 7], "step": 203, "ordinal_position": 204}, {"identifier": "W32", "position": [9, 7], "step": 204, "ordinal_position": 205}, {"identifier": "M91", "position": [9, 6], "step": 205, "ordinal_position": 206}, {"identifier": "R51", "position": [9, 5], "step": 206, "ordinal_position": 207}, {"identifier": "H90", "position": [10, 5], "step": 207, "ordinal_position": 208}, {"identifier": "N17", "position": [11, 5], "step": 208, "ordinal_position": 209}, {"identifier": "J67", "position": [11, 6], "step": 209, "ordinal_position": 210}, {"identifier": "O74", "position": [11, 7], "step": 210, "ordinal_position": 211}, {"identifier": "C83", "position": [12, 7], "step": 211, "ordinal_position": 212}, {"identifier": "G00", "position": [13, 7], "step": 212, "ordinal_position": 213}, {"identifier": "R09", "position": [14, 7], "step": 213, "ordinal_position": 214}, {"identifier": "T64", "position": [15, 7], "step": 214, "ordinal_position": 215}, {"identifier": "P58", "position": [16, 7], "step": 215, "ordinal_position": 216}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 216, "direction": "right", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_018.json"}} {"qa_id": "2a233e6f637e4fb39fa5a94e94fed55a", "image_id": "L3-MazeLoop-test_21x21_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z61, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 103rd position in this traversal?", "start_object_id": "Z61", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [103], "ordinal_strings": ["103rd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "C59", "traversal_path": [{"identifier": "Z61", "position": [3, 1], "step": 0, "ordinal_position": 1}, {"identifier": "H82", "position": [2, 1], "step": 1, "ordinal_position": 2}, {"identifier": "K58", "position": [1, 1], "step": 2, "ordinal_position": 3}, {"identifier": "S20", "position": [1, 2], "step": 3, "ordinal_position": 4}, {"identifier": "I58", "position": [1, 3], "step": 4, "ordinal_position": 5}, {"identifier": "O95", "position": [1, 4], "step": 5, "ordinal_position": 6}, {"identifier": "P94", "position": [1, 5], "step": 6, "ordinal_position": 7}, {"identifier": "G86", "position": [1, 6], "step": 7, "ordinal_position": 8}, {"identifier": "Q14", "position": [1, 7], "step": 8, "ordinal_position": 9}, {"identifier": "V69", "position": [1, 8], "step": 9, "ordinal_position": 10}, {"identifier": "W36", "position": [1, 9], "step": 10, "ordinal_position": 11}, {"identifier": "W96", "position": [2, 9], "step": 11, "ordinal_position": 12}, {"identifier": "L57", "position": [3, 9], "step": 12, "ordinal_position": 13}, {"identifier": "G23", "position": [3, 10], "step": 13, "ordinal_position": 14}, {"identifier": "Z32", "position": [3, 11], "step": 14, "ordinal_position": 15}, {"identifier": "H78", "position": [3, 12], "step": 15, "ordinal_position": 16}, {"identifier": "Q98", "position": [3, 13], "step": 16, "ordinal_position": 17}, {"identifier": "N87", "position": [4, 13], "step": 17, "ordinal_position": 18}, {"identifier": "I34", "position": [5, 13], "step": 18, "ordinal_position": 19}, {"identifier": "O13", "position": [5, 14], "step": 19, "ordinal_position": 20}, {"identifier": "O94", "position": [5, 15], "step": 20, "ordinal_position": 21}, {"identifier": "F44", "position": [6, 15], "step": 21, "ordinal_position": 22}, {"identifier": "H23", "position": [7, 15], "step": 22, "ordinal_position": 23}, {"identifier": "G61", "position": [8, 15], "step": 23, "ordinal_position": 24}, {"identifier": "U11", "position": [9, 15], "step": 24, "ordinal_position": 25}, {"identifier": "T05", "position": [9, 14], "step": 25, "ordinal_position": 26}, {"identifier": "L22", "position": [9, 13], "step": 26, "ordinal_position": 27}, {"identifier": "O70", "position": [9, 12], "step": 27, "ordinal_position": 28}, {"identifier": "T08", "position": [9, 11], "step": 28, "ordinal_position": 29}, {"identifier": "M44", "position": [9, 10], "step": 29, "ordinal_position": 30}, {"identifier": "W58", "position": [9, 9], "step": 30, "ordinal_position": 31}, {"identifier": "A84", "position": [10, 9], "step": 31, "ordinal_position": 32}, {"identifier": "M65", "position": [11, 9], "step": 32, "ordinal_position": 33}, {"identifier": "B19", "position": [12, 9], "step": 33, "ordinal_position": 34}, {"identifier": "C49", "position": [13, 9], "step": 34, "ordinal_position": 35}, {"identifier": "S28", "position": [14, 9], "step": 35, "ordinal_position": 36}, {"identifier": "I70", "position": [15, 9], "step": 36, "ordinal_position": 37}, {"identifier": "D68", "position": [16, 9], "step": 37, "ordinal_position": 38}, {"identifier": "X45", "position": [17, 9], "step": 38, "ordinal_position": 39}, {"identifier": "V55", "position": [17, 10], "step": 39, "ordinal_position": 40}, {"identifier": "I17", "position": [17, 11], "step": 40, "ordinal_position": 41}, {"identifier": "F14", "position": [18, 11], "step": 41, "ordinal_position": 42}, {"identifier": "D42", "position": [19, 11], "step": 42, "ordinal_position": 43}, {"identifier": "K74", "position": [19, 10], "step": 43, "ordinal_position": 44}, {"identifier": "R65", "position": [19, 9], "step": 44, "ordinal_position": 45}, {"identifier": "C73", "position": [19, 8], "step": 45, "ordinal_position": 46}, {"identifier": "L26", "position": [19, 7], "step": 46, "ordinal_position": 47}, {"identifier": "G15", "position": [19, 6], "step": 47, "ordinal_position": 48}, {"identifier": "D60", "position": [19, 5], "step": 48, "ordinal_position": 49}, {"identifier": "X38", "position": [19, 4], "step": 49, "ordinal_position": 50}, {"identifier": "G19", "position": [19, 3], "step": 50, "ordinal_position": 51}, {"identifier": "Y13", "position": [19, 2], "step": 51, "ordinal_position": 52}, {"identifier": "U18", "position": [19, 1], "step": 52, "ordinal_position": 53}, {"identifier": "P49", "position": [18, 1], "step": 53, "ordinal_position": 54}, {"identifier": "G64", "position": [17, 1], "step": 54, "ordinal_position": 55}, {"identifier": "M86", "position": [16, 1], "step": 55, "ordinal_position": 56}, {"identifier": "L28", "position": [15, 1], "step": 56, "ordinal_position": 57}, {"identifier": "I84", "position": [14, 1], "step": 57, "ordinal_position": 58}, {"identifier": "C59", "position": [13, 1], "step": 58, "ordinal_position": 59}, {"identifier": "F29", "position": [12, 1], "step": 59, "ordinal_position": 60}, {"identifier": "A70", "position": [11, 1], "step": 60, "ordinal_position": 61}, {"identifier": "F73", "position": [10, 1], "step": 61, "ordinal_position": 62}, {"identifier": "I96", "position": [9, 1], "step": 62, "ordinal_position": 63}, {"identifier": "K09", "position": [8, 1], "step": 63, "ordinal_position": 64}, {"identifier": "F60", "position": [7, 1], "step": 64, "ordinal_position": 65}, {"identifier": "H47", "position": [7, 2], "step": 65, "ordinal_position": 66}, {"identifier": "Z06", "position": [7, 3], "step": 66, "ordinal_position": 67}, {"identifier": "T44", "position": [7, 4], "step": 67, "ordinal_position": 68}, {"identifier": "N49", "position": [7, 5], "step": 68, "ordinal_position": 69}, {"identifier": "M37", "position": [7, 6], "step": 69, "ordinal_position": 70}, {"identifier": "J66", "position": [7, 7], "step": 70, "ordinal_position": 71}, {"identifier": "T33", "position": [8, 7], "step": 71, "ordinal_position": 72}, {"identifier": "W32", "position": [9, 7], "step": 72, "ordinal_position": 73}, {"identifier": "M91", "position": [9, 6], "step": 73, "ordinal_position": 74}, {"identifier": "R51", "position": [9, 5], "step": 74, "ordinal_position": 75}, {"identifier": "H90", "position": [10, 5], "step": 75, "ordinal_position": 76}, {"identifier": "N17", "position": [11, 5], "step": 76, "ordinal_position": 77}, {"identifier": "J67", "position": [11, 6], "step": 77, "ordinal_position": 78}, {"identifier": "O74", "position": [11, 7], "step": 78, "ordinal_position": 79}, {"identifier": "C83", "position": [12, 7], "step": 79, "ordinal_position": 80}, {"identifier": "G00", "position": [13, 7], "step": 80, "ordinal_position": 81}, {"identifier": "R09", "position": [14, 7], "step": 81, "ordinal_position": 82}, {"identifier": "T64", "position": [15, 7], "step": 82, "ordinal_position": 83}, {"identifier": "P58", "position": [16, 7], "step": 83, "ordinal_position": 84}, {"identifier": "N69", "position": [17, 7], "step": 84, "ordinal_position": 85}, {"identifier": "H71", "position": [17, 6], "step": 85, "ordinal_position": 86}, {"identifier": "J44", "position": [17, 5], "step": 86, "ordinal_position": 87}, {"identifier": "H73", "position": [17, 4], "step": 87, "ordinal_position": 88}, {"identifier": "K60", "position": [17, 3], "step": 88, "ordinal_position": 89}, {"identifier": "A75", "position": [16, 3], "step": 89, "ordinal_position": 90}, {"identifier": "J02", "position": [15, 3], "step": 90, "ordinal_position": 91}, {"identifier": "I03", "position": [14, 3], "step": 91, "ordinal_position": 92}, {"identifier": "N19", "position": [13, 3], "step": 92, "ordinal_position": 93}, {"identifier": "V30", "position": [12, 3], "step": 93, "ordinal_position": 94}, {"identifier": "V49", "position": [11, 3], "step": 94, "ordinal_position": 95}, {"identifier": "V33", "position": [10, 3], "step": 95, "ordinal_position": 96}, {"identifier": "P07", "position": [9, 3], "step": 96, "ordinal_position": 97}, {"identifier": "X64", "position": [9, 2], "step": 97, "ordinal_position": 98}, {"identifier": "I96", "position": [9, 1], "step": 98, "ordinal_position": 99}, {"identifier": "F73", "position": [10, 1], "step": 99, "ordinal_position": 100}, {"identifier": "A70", "position": [11, 1], "step": 100, "ordinal_position": 101}, {"identifier": "F29", "position": [12, 1], "step": 101, "ordinal_position": 102}, {"identifier": "C59", "position": [13, 1], "step": 102, "ordinal_position": 103}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 103, "direction": "left", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_018.json"}} {"qa_id": "1cbd710d9a664020b4da5f32e20cb80a", "image_id": "L3-MazeLoop-test_21x21_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled R74, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 256th position in this traversal?", "start_object_id": "R74", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [256], "ordinal_strings": ["256th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "E77", "traversal_path": [{"identifier": "R74", "position": [6, 19], "step": 0, "ordinal_position": 1}, {"identifier": "T55", "position": [5, 19], "step": 1, "ordinal_position": 2}, {"identifier": "N94", "position": [4, 19], "step": 2, "ordinal_position": 3}, {"identifier": "U76", "position": [3, 19], "step": 3, "ordinal_position": 4}, {"identifier": "N60", "position": [2, 19], "step": 4, "ordinal_position": 5}, {"identifier": "D10", "position": [1, 19], "step": 5, "ordinal_position": 6}, {"identifier": "M05", "position": [1, 18], "step": 6, "ordinal_position": 7}, {"identifier": "W06", "position": [1, 17], "step": 7, "ordinal_position": 8}, {"identifier": "C93", "position": [1, 16], "step": 8, "ordinal_position": 9}, {"identifier": "K99", "position": [1, 15], "step": 9, "ordinal_position": 10}, {"identifier": "W84", "position": [1, 14], "step": 10, "ordinal_position": 11}, {"identifier": "K56", "position": [1, 13], "step": 11, "ordinal_position": 12}, {"identifier": "R04", "position": [1, 12], "step": 12, "ordinal_position": 13}, {"identifier": "F92", "position": [1, 11], "step": 13, "ordinal_position": 14}, {"identifier": "Y83", "position": [2, 11], "step": 14, "ordinal_position": 15}, {"identifier": "Z32", "position": [3, 11], "step": 15, "ordinal_position": 16}, {"identifier": "G23", "position": [3, 10], "step": 16, "ordinal_position": 17}, {"identifier": "L57", "position": [3, 9], "step": 17, "ordinal_position": 18}, {"identifier": "W96", "position": [2, 9], "step": 18, "ordinal_position": 19}, {"identifier": "W36", "position": [1, 9], "step": 19, "ordinal_position": 20}, {"identifier": "V69", "position": [1, 8], "step": 20, "ordinal_position": 21}, {"identifier": "Q14", "position": [1, 7], "step": 21, "ordinal_position": 22}, {"identifier": "G86", "position": [1, 6], "step": 22, "ordinal_position": 23}, {"identifier": "P94", "position": [1, 5], "step": 23, "ordinal_position": 24}, {"identifier": "O95", "position": [1, 4], "step": 24, "ordinal_position": 25}, {"identifier": "I58", "position": [1, 3], "step": 25, "ordinal_position": 26}, {"identifier": "S20", "position": [1, 2], "step": 26, "ordinal_position": 27}, {"identifier": "K58", "position": [1, 1], "step": 27, "ordinal_position": 28}, {"identifier": "H82", "position": [2, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Z61", "position": [3, 1], "step": 29, "ordinal_position": 30}, {"identifier": "J92", "position": [4, 1], "step": 30, "ordinal_position": 31}, {"identifier": "J42", "position": [5, 1], "step": 31, "ordinal_position": 32}, {"identifier": "S60", "position": [5, 2], "step": 32, "ordinal_position": 33}, {"identifier": "T15", "position": [5, 3], "step": 33, "ordinal_position": 34}, {"identifier": "M62", "position": [4, 3], "step": 34, "ordinal_position": 35}, {"identifier": "J88", "position": [3, 3], "step": 35, "ordinal_position": 36}, {"identifier": "K65", "position": [2, 3], "step": 36, "ordinal_position": 37}, {"identifier": "I58", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "O95", "position": [1, 4], "step": 38, "ordinal_position": 39}, {"identifier": "P94", "position": [1, 5], "step": 39, "ordinal_position": 40}, {"identifier": "G86", "position": [1, 6], "step": 40, "ordinal_position": 41}, {"identifier": "Q14", "position": [1, 7], "step": 41, "ordinal_position": 42}, {"identifier": "V69", "position": [1, 8], "step": 42, "ordinal_position": 43}, {"identifier": "W36", "position": [1, 9], "step": 43, "ordinal_position": 44}, {"identifier": "W96", "position": [2, 9], "step": 44, "ordinal_position": 45}, {"identifier": "L57", "position": [3, 9], "step": 45, "ordinal_position": 46}, {"identifier": "G23", "position": [3, 10], "step": 46, "ordinal_position": 47}, {"identifier": "Z32", "position": [3, 11], "step": 47, "ordinal_position": 48}, {"identifier": "H78", "position": [3, 12], "step": 48, "ordinal_position": 49}, {"identifier": "Q98", "position": [3, 13], "step": 49, "ordinal_position": 50}, {"identifier": "N87", "position": [4, 13], "step": 50, "ordinal_position": 51}, {"identifier": "I34", "position": [5, 13], "step": 51, "ordinal_position": 52}, {"identifier": "G82", "position": [5, 12], "step": 52, "ordinal_position": 53}, {"identifier": "X94", "position": [5, 11], "step": 53, "ordinal_position": 54}, {"identifier": "L97", "position": [5, 10], "step": 54, "ordinal_position": 55}, {"identifier": "I47", "position": [5, 9], "step": 55, "ordinal_position": 56}, {"identifier": "B84", "position": [5, 8], "step": 56, "ordinal_position": 57}, {"identifier": "A92", "position": [5, 7], "step": 57, "ordinal_position": 58}, {"identifier": "A89", "position": [5, 6], "step": 58, "ordinal_position": 59}, {"identifier": "U96", "position": [5, 5], "step": 59, "ordinal_position": 60}, {"identifier": "D21", "position": [4, 5], "step": 60, "ordinal_position": 61}, {"identifier": "O89", "position": [3, 5], "step": 61, "ordinal_position": 62}, {"identifier": "I74", "position": [3, 6], "step": 62, "ordinal_position": 63}, {"identifier": "E77", "position": [3, 7], "step": 63, "ordinal_position": 64}, {"identifier": "C81", "position": [2, 7], "step": 64, "ordinal_position": 65}, {"identifier": "Q14", "position": [1, 7], "step": 65, "ordinal_position": 66}, {"identifier": "V69", "position": [1, 8], "step": 66, "ordinal_position": 67}, {"identifier": "W36", "position": [1, 9], "step": 67, "ordinal_position": 68}, {"identifier": "W96", "position": [2, 9], "step": 68, "ordinal_position": 69}, {"identifier": "L57", "position": [3, 9], "step": 69, "ordinal_position": 70}, {"identifier": "G23", "position": [3, 10], "step": 70, "ordinal_position": 71}, {"identifier": "Z32", "position": [3, 11], "step": 71, "ordinal_position": 72}, {"identifier": "H78", "position": [3, 12], "step": 72, "ordinal_position": 73}, {"identifier": "Q98", "position": [3, 13], "step": 73, "ordinal_position": 74}, {"identifier": "N87", "position": [4, 13], "step": 74, "ordinal_position": 75}, {"identifier": "I34", "position": [5, 13], "step": 75, "ordinal_position": 76}, {"identifier": "G82", "position": [5, 12], "step": 76, "ordinal_position": 77}, {"identifier": "X94", "position": [5, 11], "step": 77, "ordinal_position": 78}, {"identifier": "L97", "position": [5, 10], "step": 78, "ordinal_position": 79}, {"identifier": "I47", "position": [5, 9], "step": 79, "ordinal_position": 80}, {"identifier": "B84", "position": [5, 8], "step": 80, "ordinal_position": 81}, {"identifier": "A92", "position": [5, 7], "step": 81, "ordinal_position": 82}, {"identifier": "A89", "position": [5, 6], "step": 82, "ordinal_position": 83}, {"identifier": "U96", "position": [5, 5], "step": 83, "ordinal_position": 84}, {"identifier": "D21", "position": [4, 5], "step": 84, "ordinal_position": 85}, {"identifier": "O89", "position": [3, 5], "step": 85, "ordinal_position": 86}, {"identifier": "I74", "position": [3, 6], "step": 86, "ordinal_position": 87}, {"identifier": "E77", "position": [3, 7], "step": 87, "ordinal_position": 88}, {"identifier": "C81", "position": [2, 7], "step": 88, "ordinal_position": 89}, {"identifier": "Q14", "position": [1, 7], "step": 89, "ordinal_position": 90}, {"identifier": "V69", "position": [1, 8], "step": 90, "ordinal_position": 91}, {"identifier": "W36", "position": [1, 9], "step": 91, "ordinal_position": 92}, {"identifier": "W96", "position": [2, 9], "step": 92, "ordinal_position": 93}, {"identifier": "L57", "position": [3, 9], "step": 93, "ordinal_position": 94}, {"identifier": "G23", "position": [3, 10], "step": 94, "ordinal_position": 95}, {"identifier": "Z32", "position": [3, 11], "step": 95, "ordinal_position": 96}, {"identifier": "H78", "position": [3, 12], "step": 96, "ordinal_position": 97}, {"identifier": "Q98", "position": [3, 13], "step": 97, "ordinal_position": 98}, {"identifier": "N87", "position": [4, 13], "step": 98, "ordinal_position": 99}, {"identifier": "I34", "position": [5, 13], "step": 99, "ordinal_position": 100}, {"identifier": "G82", "position": [5, 12], "step": 100, "ordinal_position": 101}, {"identifier": "X94", "position": [5, 11], "step": 101, "ordinal_position": 102}, {"identifier": "L97", "position": [5, 10], "step": 102, "ordinal_position": 103}, {"identifier": "I47", "position": [5, 9], "step": 103, "ordinal_position": 104}, {"identifier": "B84", "position": [5, 8], "step": 104, "ordinal_position": 105}, {"identifier": "A92", "position": [5, 7], "step": 105, "ordinal_position": 106}, {"identifier": "A89", "position": [5, 6], "step": 106, "ordinal_position": 107}, {"identifier": "U96", "position": [5, 5], "step": 107, "ordinal_position": 108}, {"identifier": "D21", "position": [4, 5], "step": 108, "ordinal_position": 109}, {"identifier": "O89", "position": [3, 5], "step": 109, "ordinal_position": 110}, {"identifier": "I74", "position": [3, 6], "step": 110, "ordinal_position": 111}, {"identifier": "E77", "position": [3, 7], "step": 111, "ordinal_position": 112}, {"identifier": "C81", "position": [2, 7], "step": 112, "ordinal_position": 113}, {"identifier": "Q14", "position": [1, 7], "step": 113, "ordinal_position": 114}, {"identifier": "V69", "position": [1, 8], "step": 114, "ordinal_position": 115}, {"identifier": "W36", "position": [1, 9], "step": 115, "ordinal_position": 116}, {"identifier": "W96", "position": [2, 9], "step": 116, "ordinal_position": 117}, {"identifier": "L57", "position": [3, 9], "step": 117, "ordinal_position": 118}, {"identifier": "G23", "position": [3, 10], "step": 118, "ordinal_position": 119}, {"identifier": "Z32", "position": [3, 11], "step": 119, "ordinal_position": 120}, {"identifier": "H78", "position": [3, 12], "step": 120, "ordinal_position": 121}, {"identifier": "Q98", "position": [3, 13], "step": 121, "ordinal_position": 122}, {"identifier": "N87", "position": [4, 13], "step": 122, "ordinal_position": 123}, {"identifier": "I34", "position": [5, 13], "step": 123, "ordinal_position": 124}, {"identifier": "G82", "position": [5, 12], "step": 124, "ordinal_position": 125}, {"identifier": "X94", "position": [5, 11], "step": 125, "ordinal_position": 126}, {"identifier": "L97", "position": [5, 10], "step": 126, "ordinal_position": 127}, {"identifier": "I47", "position": [5, 9], "step": 127, "ordinal_position": 128}, {"identifier": "B84", "position": [5, 8], "step": 128, "ordinal_position": 129}, {"identifier": "A92", "position": [5, 7], "step": 129, "ordinal_position": 130}, {"identifier": "A89", "position": [5, 6], "step": 130, "ordinal_position": 131}, {"identifier": "U96", "position": [5, 5], "step": 131, "ordinal_position": 132}, {"identifier": "D21", "position": [4, 5], "step": 132, "ordinal_position": 133}, {"identifier": "O89", "position": [3, 5], "step": 133, "ordinal_position": 134}, {"identifier": "I74", "position": [3, 6], "step": 134, "ordinal_position": 135}, {"identifier": "E77", "position": [3, 7], "step": 135, "ordinal_position": 136}, {"identifier": "C81", "position": [2, 7], "step": 136, "ordinal_position": 137}, {"identifier": "Q14", "position": [1, 7], "step": 137, "ordinal_position": 138}, {"identifier": "V69", "position": [1, 8], "step": 138, "ordinal_position": 139}, {"identifier": "W36", "position": [1, 9], "step": 139, "ordinal_position": 140}, {"identifier": "W96", "position": [2, 9], "step": 140, "ordinal_position": 141}, {"identifier": "L57", "position": [3, 9], "step": 141, "ordinal_position": 142}, {"identifier": "G23", "position": [3, 10], "step": 142, "ordinal_position": 143}, {"identifier": "Z32", "position": [3, 11], "step": 143, "ordinal_position": 144}, {"identifier": "H78", "position": [3, 12], "step": 144, "ordinal_position": 145}, {"identifier": "Q98", "position": [3, 13], "step": 145, "ordinal_position": 146}, {"identifier": "N87", "position": [4, 13], "step": 146, "ordinal_position": 147}, {"identifier": "I34", "position": [5, 13], "step": 147, "ordinal_position": 148}, {"identifier": "G82", "position": [5, 12], "step": 148, "ordinal_position": 149}, {"identifier": "X94", "position": [5, 11], "step": 149, "ordinal_position": 150}, {"identifier": "L97", "position": [5, 10], "step": 150, "ordinal_position": 151}, {"identifier": "I47", "position": [5, 9], "step": 151, "ordinal_position": 152}, {"identifier": "B84", "position": [5, 8], "step": 152, "ordinal_position": 153}, {"identifier": "A92", "position": [5, 7], "step": 153, "ordinal_position": 154}, {"identifier": "A89", "position": [5, 6], "step": 154, "ordinal_position": 155}, {"identifier": "U96", "position": [5, 5], "step": 155, "ordinal_position": 156}, {"identifier": "D21", "position": [4, 5], "step": 156, "ordinal_position": 157}, {"identifier": "O89", "position": [3, 5], "step": 157, "ordinal_position": 158}, {"identifier": "I74", "position": [3, 6], "step": 158, "ordinal_position": 159}, {"identifier": "E77", "position": [3, 7], "step": 159, "ordinal_position": 160}, {"identifier": "C81", "position": [2, 7], "step": 160, "ordinal_position": 161}, {"identifier": "Q14", "position": [1, 7], "step": 161, "ordinal_position": 162}, {"identifier": "V69", "position": [1, 8], "step": 162, "ordinal_position": 163}, {"identifier": "W36", "position": [1, 9], "step": 163, "ordinal_position": 164}, {"identifier": "W96", "position": [2, 9], "step": 164, "ordinal_position": 165}, {"identifier": "L57", "position": [3, 9], "step": 165, "ordinal_position": 166}, {"identifier": "G23", "position": [3, 10], "step": 166, "ordinal_position": 167}, {"identifier": "Z32", "position": [3, 11], "step": 167, "ordinal_position": 168}, {"identifier": "H78", "position": [3, 12], "step": 168, "ordinal_position": 169}, {"identifier": "Q98", "position": [3, 13], "step": 169, "ordinal_position": 170}, {"identifier": "N87", "position": [4, 13], "step": 170, "ordinal_position": 171}, {"identifier": "I34", "position": [5, 13], "step": 171, "ordinal_position": 172}, {"identifier": "G82", "position": [5, 12], "step": 172, "ordinal_position": 173}, {"identifier": "X94", "position": [5, 11], "step": 173, "ordinal_position": 174}, {"identifier": "L97", "position": [5, 10], "step": 174, "ordinal_position": 175}, {"identifier": "I47", "position": [5, 9], "step": 175, "ordinal_position": 176}, {"identifier": "B84", "position": [5, 8], "step": 176, "ordinal_position": 177}, {"identifier": "A92", "position": [5, 7], "step": 177, "ordinal_position": 178}, {"identifier": "A89", "position": [5, 6], "step": 178, "ordinal_position": 179}, {"identifier": "U96", "position": [5, 5], "step": 179, "ordinal_position": 180}, {"identifier": "D21", "position": [4, 5], "step": 180, "ordinal_position": 181}, {"identifier": "O89", "position": [3, 5], "step": 181, "ordinal_position": 182}, {"identifier": "I74", "position": [3, 6], "step": 182, "ordinal_position": 183}, {"identifier": "E77", "position": [3, 7], "step": 183, "ordinal_position": 184}, {"identifier": "C81", "position": [2, 7], "step": 184, "ordinal_position": 185}, {"identifier": "Q14", "position": [1, 7], "step": 185, "ordinal_position": 186}, {"identifier": "V69", "position": [1, 8], "step": 186, "ordinal_position": 187}, {"identifier": "W36", "position": [1, 9], "step": 187, "ordinal_position": 188}, {"identifier": "W96", "position": [2, 9], "step": 188, "ordinal_position": 189}, {"identifier": "L57", "position": [3, 9], "step": 189, "ordinal_position": 190}, {"identifier": "G23", "position": [3, 10], "step": 190, "ordinal_position": 191}, {"identifier": "Z32", "position": [3, 11], "step": 191, "ordinal_position": 192}, {"identifier": "H78", "position": [3, 12], "step": 192, "ordinal_position": 193}, {"identifier": "Q98", "position": [3, 13], "step": 193, "ordinal_position": 194}, {"identifier": "N87", "position": [4, 13], "step": 194, "ordinal_position": 195}, {"identifier": "I34", "position": [5, 13], "step": 195, "ordinal_position": 196}, {"identifier": "G82", "position": [5, 12], "step": 196, "ordinal_position": 197}, {"identifier": "X94", "position": [5, 11], "step": 197, "ordinal_position": 198}, {"identifier": "L97", "position": [5, 10], "step": 198, "ordinal_position": 199}, {"identifier": "I47", "position": [5, 9], "step": 199, "ordinal_position": 200}, {"identifier": "B84", "position": [5, 8], "step": 200, "ordinal_position": 201}, {"identifier": "A92", "position": [5, 7], "step": 201, "ordinal_position": 202}, {"identifier": "A89", "position": [5, 6], "step": 202, "ordinal_position": 203}, {"identifier": "U96", "position": [5, 5], "step": 203, "ordinal_position": 204}, {"identifier": "D21", "position": [4, 5], "step": 204, "ordinal_position": 205}, {"identifier": "O89", "position": [3, 5], "step": 205, "ordinal_position": 206}, {"identifier": "I74", "position": [3, 6], "step": 206, "ordinal_position": 207}, {"identifier": "E77", "position": [3, 7], "step": 207, "ordinal_position": 208}, {"identifier": "C81", "position": [2, 7], "step": 208, "ordinal_position": 209}, {"identifier": "Q14", "position": [1, 7], "step": 209, "ordinal_position": 210}, {"identifier": "V69", "position": [1, 8], "step": 210, "ordinal_position": 211}, {"identifier": "W36", "position": [1, 9], "step": 211, "ordinal_position": 212}, {"identifier": "W96", "position": [2, 9], "step": 212, "ordinal_position": 213}, {"identifier": "L57", "position": [3, 9], "step": 213, "ordinal_position": 214}, {"identifier": "G23", "position": [3, 10], "step": 214, "ordinal_position": 215}, {"identifier": "Z32", "position": [3, 11], "step": 215, "ordinal_position": 216}, {"identifier": "H78", "position": [3, 12], "step": 216, "ordinal_position": 217}, {"identifier": "Q98", "position": [3, 13], "step": 217, "ordinal_position": 218}, {"identifier": "N87", "position": [4, 13], "step": 218, "ordinal_position": 219}, {"identifier": "I34", "position": [5, 13], "step": 219, "ordinal_position": 220}, {"identifier": "G82", "position": [5, 12], "step": 220, "ordinal_position": 221}, {"identifier": "X94", "position": [5, 11], "step": 221, "ordinal_position": 222}, {"identifier": "L97", "position": [5, 10], "step": 222, "ordinal_position": 223}, {"identifier": "I47", "position": [5, 9], "step": 223, "ordinal_position": 224}, {"identifier": "B84", "position": [5, 8], "step": 224, "ordinal_position": 225}, {"identifier": "A92", "position": [5, 7], "step": 225, "ordinal_position": 226}, {"identifier": "A89", "position": [5, 6], "step": 226, "ordinal_position": 227}, {"identifier": "U96", "position": [5, 5], "step": 227, "ordinal_position": 228}, {"identifier": "D21", "position": [4, 5], "step": 228, "ordinal_position": 229}, {"identifier": "O89", "position": [3, 5], "step": 229, "ordinal_position": 230}, {"identifier": "I74", "position": [3, 6], "step": 230, "ordinal_position": 231}, {"identifier": "E77", "position": [3, 7], "step": 231, "ordinal_position": 232}, {"identifier": "C81", "position": [2, 7], "step": 232, "ordinal_position": 233}, {"identifier": "Q14", "position": [1, 7], "step": 233, "ordinal_position": 234}, {"identifier": "V69", "position": [1, 8], "step": 234, "ordinal_position": 235}, {"identifier": "W36", "position": [1, 9], "step": 235, "ordinal_position": 236}, {"identifier": "W96", "position": [2, 9], "step": 236, "ordinal_position": 237}, {"identifier": "L57", "position": [3, 9], "step": 237, "ordinal_position": 238}, {"identifier": "G23", "position": [3, 10], "step": 238, "ordinal_position": 239}, {"identifier": "Z32", "position": [3, 11], "step": 239, "ordinal_position": 240}, {"identifier": "H78", "position": [3, 12], "step": 240, "ordinal_position": 241}, {"identifier": "Q98", "position": [3, 13], "step": 241, "ordinal_position": 242}, {"identifier": "N87", "position": [4, 13], "step": 242, "ordinal_position": 243}, {"identifier": "I34", "position": [5, 13], "step": 243, "ordinal_position": 244}, {"identifier": "G82", "position": [5, 12], "step": 244, "ordinal_position": 245}, {"identifier": "X94", "position": [5, 11], "step": 245, "ordinal_position": 246}, {"identifier": "L97", "position": [5, 10], "step": 246, "ordinal_position": 247}, {"identifier": "I47", "position": [5, 9], "step": 247, "ordinal_position": 248}, {"identifier": "B84", "position": [5, 8], "step": 248, "ordinal_position": 249}, {"identifier": "A92", "position": [5, 7], "step": 249, "ordinal_position": 250}, {"identifier": "A89", "position": [5, 6], "step": 250, "ordinal_position": 251}, {"identifier": "U96", "position": [5, 5], "step": 251, "ordinal_position": 252}, {"identifier": "D21", "position": [4, 5], "step": 252, "ordinal_position": 253}, {"identifier": "O89", "position": [3, 5], "step": 253, "ordinal_position": 254}, {"identifier": "I74", "position": [3, 6], "step": 254, "ordinal_position": 255}, {"identifier": "E77", "position": [3, 7], "step": 255, "ordinal_position": 256}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 256, "direction": "left", "turn_preference": "left", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_018.json"}} {"qa_id": "0bc1b1ca3b224226bb8c5d69c19e92af", "image_id": "L3-MazeLoop-test_21x21_018", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Q02, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 119th position in this traversal?", "start_object_id": "Q02", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [119], "ordinal_strings": ["119th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "M86", "traversal_path": [{"identifier": "Q02", "position": [15, 16], "step": 0, "ordinal_position": 1}, {"identifier": "S65", "position": [15, 17], "step": 1, "ordinal_position": 2}, {"identifier": "V57", "position": [14, 17], "step": 2, "ordinal_position": 3}, {"identifier": "W64", "position": [13, 17], "step": 3, "ordinal_position": 4}, {"identifier": "C25", "position": [12, 17], "step": 4, "ordinal_position": 5}, {"identifier": "X31", "position": [11, 17], "step": 5, "ordinal_position": 6}, {"identifier": "Y47", "position": [10, 17], "step": 6, "ordinal_position": 7}, {"identifier": "S82", "position": [9, 17], "step": 7, "ordinal_position": 8}, {"identifier": "U84", "position": [8, 17], "step": 8, "ordinal_position": 9}, {"identifier": "O30", "position": [7, 17], "step": 9, "ordinal_position": 10}, {"identifier": "P71", "position": [6, 17], "step": 10, "ordinal_position": 11}, {"identifier": "J43", "position": [5, 17], "step": 11, "ordinal_position": 12}, {"identifier": "T54", "position": [5, 18], "step": 12, "ordinal_position": 13}, {"identifier": "T55", "position": [5, 19], "step": 13, "ordinal_position": 14}, {"identifier": "N94", "position": [4, 19], "step": 14, "ordinal_position": 15}, {"identifier": "U76", "position": [3, 19], "step": 15, "ordinal_position": 16}, {"identifier": "N60", "position": [2, 19], "step": 16, "ordinal_position": 17}, {"identifier": "D10", "position": [1, 19], "step": 17, "ordinal_position": 18}, {"identifier": "M05", "position": [1, 18], "step": 18, "ordinal_position": 19}, {"identifier": "W06", "position": [1, 17], "step": 19, "ordinal_position": 20}, {"identifier": "C93", "position": [1, 16], "step": 20, "ordinal_position": 21}, {"identifier": "K99", "position": [1, 15], "step": 21, "ordinal_position": 22}, {"identifier": "W84", "position": [1, 14], "step": 22, "ordinal_position": 23}, {"identifier": "K56", "position": [1, 13], "step": 23, "ordinal_position": 24}, {"identifier": "R04", "position": [1, 12], "step": 24, "ordinal_position": 25}, {"identifier": "F92", "position": [1, 11], "step": 25, "ordinal_position": 26}, {"identifier": "Y83", "position": [2, 11], "step": 26, "ordinal_position": 27}, {"identifier": "Z32", "position": [3, 11], "step": 27, "ordinal_position": 28}, {"identifier": "H78", "position": [3, 12], "step": 28, "ordinal_position": 29}, {"identifier": "Q98", "position": [3, 13], "step": 29, "ordinal_position": 30}, {"identifier": "N87", "position": [4, 13], "step": 30, "ordinal_position": 31}, {"identifier": "I34", "position": [5, 13], "step": 31, "ordinal_position": 32}, {"identifier": "O13", "position": [5, 14], "step": 32, "ordinal_position": 33}, {"identifier": "O94", "position": [5, 15], "step": 33, "ordinal_position": 34}, {"identifier": "F44", "position": [6, 15], "step": 34, "ordinal_position": 35}, {"identifier": "H23", "position": [7, 15], "step": 35, "ordinal_position": 36}, {"identifier": "G61", "position": [8, 15], "step": 36, "ordinal_position": 37}, {"identifier": "U11", "position": [9, 15], "step": 37, "ordinal_position": 38}, {"identifier": "T05", "position": [9, 14], "step": 38, "ordinal_position": 39}, {"identifier": "L22", "position": [9, 13], "step": 39, "ordinal_position": 40}, {"identifier": "O70", "position": [9, 12], "step": 40, "ordinal_position": 41}, {"identifier": "T08", "position": [9, 11], "step": 41, "ordinal_position": 42}, {"identifier": "M44", "position": [9, 10], "step": 42, "ordinal_position": 43}, {"identifier": "W58", "position": [9, 9], "step": 43, "ordinal_position": 44}, {"identifier": "A84", "position": [10, 9], "step": 44, "ordinal_position": 45}, {"identifier": "M65", "position": [11, 9], "step": 45, "ordinal_position": 46}, {"identifier": "B19", "position": [12, 9], "step": 46, "ordinal_position": 47}, {"identifier": "C49", "position": [13, 9], "step": 47, "ordinal_position": 48}, {"identifier": "S28", "position": [14, 9], "step": 48, "ordinal_position": 49}, {"identifier": "I70", "position": [15, 9], "step": 49, "ordinal_position": 50}, {"identifier": "D68", "position": [16, 9], "step": 50, "ordinal_position": 51}, {"identifier": "X45", "position": [17, 9], "step": 51, "ordinal_position": 52}, {"identifier": "V55", "position": [17, 10], "step": 52, "ordinal_position": 53}, {"identifier": "I17", "position": [17, 11], "step": 53, "ordinal_position": 54}, {"identifier": "F14", "position": [18, 11], "step": 54, "ordinal_position": 55}, {"identifier": "D42", "position": [19, 11], "step": 55, "ordinal_position": 56}, {"identifier": "K74", "position": [19, 10], "step": 56, "ordinal_position": 57}, {"identifier": "R65", "position": [19, 9], "step": 57, "ordinal_position": 58}, {"identifier": "C73", "position": [19, 8], "step": 58, "ordinal_position": 59}, {"identifier": "L26", "position": [19, 7], "step": 59, "ordinal_position": 60}, {"identifier": "G15", "position": [19, 6], "step": 60, "ordinal_position": 61}, {"identifier": "D60", "position": [19, 5], "step": 61, "ordinal_position": 62}, {"identifier": "X38", "position": [19, 4], "step": 62, "ordinal_position": 63}, {"identifier": "G19", "position": [19, 3], "step": 63, "ordinal_position": 64}, {"identifier": "Y13", "position": [19, 2], "step": 64, "ordinal_position": 65}, {"identifier": "U18", "position": [19, 1], "step": 65, "ordinal_position": 66}, {"identifier": "P49", "position": [18, 1], "step": 66, "ordinal_position": 67}, {"identifier": "G64", "position": [17, 1], "step": 67, "ordinal_position": 68}, {"identifier": "M86", "position": [16, 1], "step": 68, "ordinal_position": 69}, {"identifier": "L28", "position": [15, 1], "step": 69, "ordinal_position": 70}, {"identifier": "I84", "position": [14, 1], "step": 70, "ordinal_position": 71}, {"identifier": "C59", "position": [13, 1], "step": 71, "ordinal_position": 72}, {"identifier": "F29", "position": [12, 1], "step": 72, "ordinal_position": 73}, {"identifier": "A70", "position": [11, 1], "step": 73, "ordinal_position": 74}, {"identifier": "F73", "position": [10, 1], "step": 74, "ordinal_position": 75}, {"identifier": "I96", "position": [9, 1], "step": 75, "ordinal_position": 76}, {"identifier": "K09", "position": [8, 1], "step": 76, "ordinal_position": 77}, {"identifier": "F60", "position": [7, 1], "step": 77, "ordinal_position": 78}, {"identifier": "H47", "position": [7, 2], "step": 78, "ordinal_position": 79}, {"identifier": "Z06", "position": [7, 3], "step": 79, "ordinal_position": 80}, {"identifier": "T44", "position": [7, 4], "step": 80, "ordinal_position": 81}, {"identifier": "N49", "position": [7, 5], "step": 81, "ordinal_position": 82}, {"identifier": "M37", "position": [7, 6], "step": 82, "ordinal_position": 83}, {"identifier": "J66", "position": [7, 7], "step": 83, "ordinal_position": 84}, {"identifier": "T33", "position": [8, 7], "step": 84, "ordinal_position": 85}, {"identifier": "W32", "position": [9, 7], "step": 85, "ordinal_position": 86}, {"identifier": "M91", "position": [9, 6], "step": 86, "ordinal_position": 87}, {"identifier": "R51", "position": [9, 5], "step": 87, "ordinal_position": 88}, {"identifier": "H90", "position": [10, 5], "step": 88, "ordinal_position": 89}, {"identifier": "N17", "position": [11, 5], "step": 89, "ordinal_position": 90}, {"identifier": "J67", "position": [11, 6], "step": 90, "ordinal_position": 91}, {"identifier": "O74", "position": [11, 7], "step": 91, "ordinal_position": 92}, {"identifier": "C83", "position": [12, 7], "step": 92, "ordinal_position": 93}, {"identifier": "G00", "position": [13, 7], "step": 93, "ordinal_position": 94}, {"identifier": "R09", "position": [14, 7], "step": 94, "ordinal_position": 95}, {"identifier": "T64", "position": [15, 7], "step": 95, "ordinal_position": 96}, {"identifier": "P58", "position": [16, 7], "step": 96, "ordinal_position": 97}, {"identifier": "N69", "position": [17, 7], "step": 97, "ordinal_position": 98}, {"identifier": "H71", "position": [17, 6], "step": 98, "ordinal_position": 99}, {"identifier": "J44", "position": [17, 5], "step": 99, "ordinal_position": 100}, {"identifier": "H73", "position": [17, 4], "step": 100, "ordinal_position": 101}, {"identifier": "K60", "position": [17, 3], "step": 101, "ordinal_position": 102}, {"identifier": "A75", "position": [16, 3], "step": 102, "ordinal_position": 103}, {"identifier": "J02", "position": [15, 3], "step": 103, "ordinal_position": 104}, {"identifier": "I03", "position": [14, 3], "step": 104, "ordinal_position": 105}, {"identifier": "N19", "position": [13, 3], "step": 105, "ordinal_position": 106}, {"identifier": "V30", "position": [12, 3], "step": 106, "ordinal_position": 107}, {"identifier": "V49", "position": [11, 3], "step": 107, "ordinal_position": 108}, {"identifier": "V33", "position": [10, 3], "step": 108, "ordinal_position": 109}, {"identifier": "P07", "position": [9, 3], "step": 109, "ordinal_position": 110}, {"identifier": "X64", "position": [9, 2], "step": 110, "ordinal_position": 111}, {"identifier": "I96", "position": [9, 1], "step": 111, "ordinal_position": 112}, {"identifier": "F73", "position": [10, 1], "step": 112, "ordinal_position": 113}, {"identifier": "A70", "position": [11, 1], "step": 113, "ordinal_position": 114}, {"identifier": "F29", "position": [12, 1], "step": 114, "ordinal_position": 115}, {"identifier": "C59", "position": [13, 1], "step": 115, "ordinal_position": 116}, {"identifier": "I84", "position": [14, 1], "step": 116, "ordinal_position": 117}, {"identifier": "L28", "position": [15, 1], "step": 117, "ordinal_position": 118}, {"identifier": "M86", "position": [16, 1], "step": 118, "ordinal_position": 119}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 119, "direction": "down", "turn_preference": "right", "total_objects": 210, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_018.json"}} {"qa_id": "fbb29ffac8f74196a258cc3a352ce44b", "image_id": "L3-MazeLoop-test_21x21_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled T91, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 5th position in this traversal?", "start_object_id": "T91", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [5], "ordinal_strings": ["5th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "L11", "traversal_path": [{"identifier": "T91", "position": [14, 1], "step": 0, "ordinal_position": 1}, {"identifier": "T17", "position": [13, 1], "step": 1, "ordinal_position": 2}, {"identifier": "T55", "position": [12, 1], "step": 2, "ordinal_position": 3}, {"identifier": "A89", "position": [11, 1], "step": 3, "ordinal_position": 4}, {"identifier": "L11", "position": [10, 1], "step": 4, "ordinal_position": 5}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 5, "direction": "left", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_019.json"}} {"qa_id": "e3f9d2319ebf446f8ac78063e842117a", "image_id": "L3-MazeLoop-test_21x21_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B78, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 16th position in this traversal?", "start_object_id": "B78", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [16], "ordinal_strings": ["16th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "G08", "traversal_path": [{"identifier": "B78", "position": [11, 17], "step": 0, "ordinal_position": 1}, {"identifier": "W10", "position": [10, 17], "step": 1, "ordinal_position": 2}, {"identifier": "F05", "position": [9, 17], "step": 2, "ordinal_position": 3}, {"identifier": "B02", "position": [8, 17], "step": 3, "ordinal_position": 4}, {"identifier": "H64", "position": [7, 17], "step": 4, "ordinal_position": 5}, {"identifier": "Z96", "position": [7, 18], "step": 5, "ordinal_position": 6}, {"identifier": "F63", "position": [7, 19], "step": 6, "ordinal_position": 7}, {"identifier": "W34", "position": [6, 19], "step": 7, "ordinal_position": 8}, {"identifier": "N62", "position": [5, 19], "step": 8, "ordinal_position": 9}, {"identifier": "N78", "position": [4, 19], "step": 9, "ordinal_position": 10}, {"identifier": "Y44", "position": [3, 19], "step": 10, "ordinal_position": 11}, {"identifier": "U70", "position": [2, 19], "step": 11, "ordinal_position": 12}, {"identifier": "Y14", "position": [1, 19], "step": 12, "ordinal_position": 13}, {"identifier": "S19", "position": [1, 18], "step": 13, "ordinal_position": 14}, {"identifier": "Z17", "position": [1, 17], "step": 14, "ordinal_position": 15}, {"identifier": "G08", "position": [1, 16], "step": 15, "ordinal_position": 16}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 16, "direction": "left", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_019.json"}} {"qa_id": "6ccb2c43bb0347c48b48a9327a06cf1f", "image_id": "L3-MazeLoop-test_21x21_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z11, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 2nd position in this traversal?", "start_object_id": "Z11", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [2], "ordinal_strings": ["2nd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "T11", "traversal_path": [{"identifier": "Z11", "position": [8, 5], "step": 0, "ordinal_position": 1}, {"identifier": "T11", "position": [7, 5], "step": 1, "ordinal_position": 2}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 2, "direction": "left", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_019.json"}} {"qa_id": "18ceeaa9b33646b38fc4120ddcb83b9d", "image_id": "L3-MazeLoop-test_21x21_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled D60, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 15th position in this traversal?", "start_object_id": "D60", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [15], "ordinal_strings": ["15th"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "P69", "traversal_path": [{"identifier": "D60", "position": [15, 11], "step": 0, "ordinal_position": 1}, {"identifier": "O41", "position": [15, 12], "step": 1, "ordinal_position": 2}, {"identifier": "R08", "position": [15, 13], "step": 2, "ordinal_position": 3}, {"identifier": "H83", "position": [16, 13], "step": 3, "ordinal_position": 4}, {"identifier": "X60", "position": [17, 13], "step": 4, "ordinal_position": 5}, {"identifier": "M91", "position": [17, 14], "step": 5, "ordinal_position": 6}, {"identifier": "V32", "position": [17, 15], "step": 6, "ordinal_position": 7}, {"identifier": "Q37", "position": [16, 15], "step": 7, "ordinal_position": 8}, {"identifier": "Y97", "position": [15, 15], "step": 8, "ordinal_position": 9}, {"identifier": "E97", "position": [14, 15], "step": 9, "ordinal_position": 10}, {"identifier": "T03", "position": [13, 15], "step": 10, "ordinal_position": 11}, {"identifier": "E19", "position": [13, 14], "step": 11, "ordinal_position": 12}, {"identifier": "E76", "position": [13, 13], "step": 12, "ordinal_position": 13}, {"identifier": "Y41", "position": [12, 13], "step": 13, "ordinal_position": 14}, {"identifier": "P69", "position": [11, 13], "step": 14, "ordinal_position": 15}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 15, "direction": "down", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_019.json"}} {"qa_id": "362a96db0b6d4ef7a9735d7ebf11be55", "image_id": "L3-MazeLoop-test_21x21_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled B08, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 3rd position in this traversal?", "start_object_id": "B08", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [3], "ordinal_strings": ["3rd"], "ordinal_number_levels": ["L1_low"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "C96", "traversal_path": [{"identifier": "B08", "position": [7, 11], "step": 0, "ordinal_position": 1}, {"identifier": "S74", "position": [8, 11], "step": 1, "ordinal_position": 2}, {"identifier": "C96", "position": [9, 11], "step": 2, "ordinal_position": 3}], "generation_details": {"level_category": "L1_low", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 3, "direction": "right", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_019.json"}} {"qa_id": "f48dffe2e26f4d7386baf6c6faee6e3a", "image_id": "L3-MazeLoop-test_21x21_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled U20, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 39th position in this traversal?", "start_object_id": "U20", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [39], "ordinal_strings": ["39th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "F25", "traversal_path": [{"identifier": "U20", "position": [9, 9], "step": 0, "ordinal_position": 1}, {"identifier": "S85", "position": [9, 8], "step": 1, "ordinal_position": 2}, {"identifier": "R43", "position": [9, 7], "step": 2, "ordinal_position": 3}, {"identifier": "K58", "position": [10, 7], "step": 3, "ordinal_position": 4}, {"identifier": "N00", "position": [11, 7], "step": 4, "ordinal_position": 5}, {"identifier": "I48", "position": [11, 8], "step": 5, "ordinal_position": 6}, {"identifier": "B99", "position": [11, 9], "step": 6, "ordinal_position": 7}, {"identifier": "L12", "position": [11, 10], "step": 7, "ordinal_position": 8}, {"identifier": "G83", "position": [11, 11], "step": 8, "ordinal_position": 9}, {"identifier": "H36", "position": [12, 11], "step": 9, "ordinal_position": 10}, {"identifier": "K04", "position": [13, 11], "step": 10, "ordinal_position": 11}, {"identifier": "V98", "position": [13, 10], "step": 11, "ordinal_position": 12}, {"identifier": "D89", "position": [13, 9], "step": 12, "ordinal_position": 13}, {"identifier": "X66", "position": [13, 8], "step": 13, "ordinal_position": 14}, {"identifier": "M45", "position": [13, 7], "step": 14, "ordinal_position": 15}, {"identifier": "S32", "position": [13, 6], "step": 15, "ordinal_position": 16}, {"identifier": "E21", "position": [13, 5], "step": 16, "ordinal_position": 17}, {"identifier": "B36", "position": [13, 4], "step": 17, "ordinal_position": 18}, {"identifier": "U02", "position": [13, 3], "step": 18, "ordinal_position": 19}, {"identifier": "K32", "position": [14, 3], "step": 19, "ordinal_position": 20}, {"identifier": "Z71", "position": [15, 3], "step": 20, "ordinal_position": 21}, {"identifier": "H38", "position": [16, 3], "step": 21, "ordinal_position": 22}, {"identifier": "Y95", "position": [17, 3], "step": 22, "ordinal_position": 23}, {"identifier": "A77", "position": [18, 3], "step": 23, "ordinal_position": 24}, {"identifier": "R49", "position": [19, 3], "step": 24, "ordinal_position": 25}, {"identifier": "M11", "position": [19, 4], "step": 25, "ordinal_position": 26}, {"identifier": "E37", "position": [19, 5], "step": 26, "ordinal_position": 27}, {"identifier": "L50", "position": [19, 6], "step": 27, "ordinal_position": 28}, {"identifier": "T97", "position": [19, 7], "step": 28, "ordinal_position": 29}, {"identifier": "K76", "position": [19, 8], "step": 29, "ordinal_position": 30}, {"identifier": "W03", "position": [19, 9], "step": 30, "ordinal_position": 31}, {"identifier": "S41", "position": [19, 10], "step": 31, "ordinal_position": 32}, {"identifier": "C27", "position": [19, 11], "step": 32, "ordinal_position": 33}, {"identifier": "P82", "position": [19, 12], "step": 33, "ordinal_position": 34}, {"identifier": "D61", "position": [19, 13], "step": 34, "ordinal_position": 35}, {"identifier": "B40", "position": [19, 14], "step": 35, "ordinal_position": 36}, {"identifier": "L51", "position": [19, 15], "step": 36, "ordinal_position": 37}, {"identifier": "W89", "position": [19, 16], "step": 37, "ordinal_position": 38}, {"identifier": "F25", "position": [19, 17], "step": 38, "ordinal_position": 39}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 39, "direction": "up", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_019.json"}} {"qa_id": "2e1646d7f1bd40a1ab8f8dc305a4844b", "image_id": "L3-MazeLoop-test_21x21_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled H36, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 22nd position in this traversal?", "start_object_id": "H36", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [22], "ordinal_strings": ["22nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "G96", "traversal_path": [{"identifier": "H36", "position": [12, 11], "step": 0, "ordinal_position": 1}, {"identifier": "G83", "position": [11, 11], "step": 1, "ordinal_position": 2}, {"identifier": "L12", "position": [11, 10], "step": 2, "ordinal_position": 3}, {"identifier": "B99", "position": [11, 9], "step": 3, "ordinal_position": 4}, {"identifier": "I48", "position": [11, 8], "step": 4, "ordinal_position": 5}, {"identifier": "N00", "position": [11, 7], "step": 5, "ordinal_position": 6}, {"identifier": "B44", "position": [11, 6], "step": 6, "ordinal_position": 7}, {"identifier": "X57", "position": [11, 5], "step": 7, "ordinal_position": 8}, {"identifier": "L35", "position": [10, 5], "step": 8, "ordinal_position": 9}, {"identifier": "Y25", "position": [9, 5], "step": 9, "ordinal_position": 10}, {"identifier": "Z11", "position": [8, 5], "step": 10, "ordinal_position": 11}, {"identifier": "T11", "position": [7, 5], "step": 11, "ordinal_position": 12}, {"identifier": "W41", "position": [7, 6], "step": 12, "ordinal_position": 13}, {"identifier": "C61", "position": [7, 7], "step": 13, "ordinal_position": 14}, {"identifier": "R94", "position": [6, 7], "step": 14, "ordinal_position": 15}, {"identifier": "V52", "position": [5, 7], "step": 15, "ordinal_position": 16}, {"identifier": "C89", "position": [5, 6], "step": 16, "ordinal_position": 17}, {"identifier": "C44", "position": [5, 5], "step": 17, "ordinal_position": 18}, {"identifier": "J20", "position": [5, 4], "step": 18, "ordinal_position": 19}, {"identifier": "V59", "position": [5, 3], "step": 19, "ordinal_position": 20}, {"identifier": "P03", "position": [6, 3], "step": 20, "ordinal_position": 21}, {"identifier": "G96", "position": [7, 3], "step": 21, "ordinal_position": 22}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 22, "direction": "left", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_019.json"}} {"qa_id": "b4f27fc0481e4e0cb80c9d7339867a97", "image_id": "L3-MazeLoop-test_21x21_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled K17, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 62nd position in this traversal?", "start_object_id": "K17", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [62], "ordinal_strings": ["62nd"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "B49", "traversal_path": [{"identifier": "K17", "position": [4, 13], "step": 0, "ordinal_position": 1}, {"identifier": "Q25", "position": [3, 13], "step": 1, "ordinal_position": 2}, {"identifier": "H92", "position": [2, 13], "step": 2, "ordinal_position": 3}, {"identifier": "X89", "position": [1, 13], "step": 3, "ordinal_position": 4}, {"identifier": "J05", "position": [1, 12], "step": 4, "ordinal_position": 5}, {"identifier": "U10", "position": [1, 11], "step": 5, "ordinal_position": 6}, {"identifier": "Q05", "position": [1, 10], "step": 6, "ordinal_position": 7}, {"identifier": "G22", "position": [1, 9], "step": 7, "ordinal_position": 8}, {"identifier": "O49", "position": [1, 8], "step": 8, "ordinal_position": 9}, {"identifier": "R90", "position": [1, 7], "step": 9, "ordinal_position": 10}, {"identifier": "M46", "position": [2, 7], "step": 10, "ordinal_position": 11}, {"identifier": "R02", "position": [3, 7], "step": 11, "ordinal_position": 12}, {"identifier": "J98", "position": [3, 8], "step": 12, "ordinal_position": 13}, {"identifier": "B49", "position": [3, 9], "step": 13, "ordinal_position": 14}, {"identifier": "C95", "position": [2, 9], "step": 14, "ordinal_position": 15}, {"identifier": "G22", "position": [1, 9], "step": 15, "ordinal_position": 16}, {"identifier": "O49", "position": [1, 8], "step": 16, "ordinal_position": 17}, {"identifier": "R90", "position": [1, 7], "step": 17, "ordinal_position": 18}, {"identifier": "M46", "position": [2, 7], "step": 18, "ordinal_position": 19}, {"identifier": "R02", "position": [3, 7], "step": 19, "ordinal_position": 20}, {"identifier": "J98", "position": [3, 8], "step": 20, "ordinal_position": 21}, {"identifier": "B49", "position": [3, 9], "step": 21, "ordinal_position": 22}, {"identifier": "C95", "position": [2, 9], "step": 22, "ordinal_position": 23}, {"identifier": "G22", "position": [1, 9], "step": 23, "ordinal_position": 24}, {"identifier": "O49", "position": [1, 8], "step": 24, "ordinal_position": 25}, {"identifier": "R90", "position": [1, 7], "step": 25, "ordinal_position": 26}, {"identifier": "M46", "position": [2, 7], "step": 26, "ordinal_position": 27}, {"identifier": "R02", "position": [3, 7], "step": 27, "ordinal_position": 28}, {"identifier": "J98", "position": [3, 8], "step": 28, "ordinal_position": 29}, {"identifier": "B49", "position": [3, 9], "step": 29, "ordinal_position": 30}, {"identifier": "C95", "position": [2, 9], "step": 30, "ordinal_position": 31}, {"identifier": "G22", "position": [1, 9], "step": 31, "ordinal_position": 32}, {"identifier": "O49", "position": [1, 8], "step": 32, "ordinal_position": 33}, {"identifier": "R90", "position": [1, 7], "step": 33, "ordinal_position": 34}, {"identifier": "M46", "position": [2, 7], "step": 34, "ordinal_position": 35}, {"identifier": "R02", "position": [3, 7], "step": 35, "ordinal_position": 36}, {"identifier": "J98", "position": [3, 8], "step": 36, "ordinal_position": 37}, {"identifier": "B49", "position": [3, 9], "step": 37, "ordinal_position": 38}, {"identifier": "C95", "position": [2, 9], "step": 38, "ordinal_position": 39}, {"identifier": "G22", "position": [1, 9], "step": 39, "ordinal_position": 40}, {"identifier": "O49", "position": [1, 8], "step": 40, "ordinal_position": 41}, {"identifier": "R90", "position": [1, 7], "step": 41, "ordinal_position": 42}, {"identifier": "M46", "position": [2, 7], "step": 42, "ordinal_position": 43}, {"identifier": "R02", "position": [3, 7], "step": 43, "ordinal_position": 44}, {"identifier": "J98", "position": [3, 8], "step": 44, "ordinal_position": 45}, {"identifier": "B49", "position": [3, 9], "step": 45, "ordinal_position": 46}, {"identifier": "C95", "position": [2, 9], "step": 46, "ordinal_position": 47}, {"identifier": "G22", "position": [1, 9], "step": 47, "ordinal_position": 48}, {"identifier": "O49", "position": [1, 8], "step": 48, "ordinal_position": 49}, {"identifier": "R90", "position": [1, 7], "step": 49, "ordinal_position": 50}, {"identifier": "M46", "position": [2, 7], "step": 50, "ordinal_position": 51}, {"identifier": "R02", "position": [3, 7], "step": 51, "ordinal_position": 52}, {"identifier": "J98", "position": [3, 8], "step": 52, "ordinal_position": 53}, {"identifier": "B49", "position": [3, 9], "step": 53, "ordinal_position": 54}, {"identifier": "C95", "position": [2, 9], "step": 54, "ordinal_position": 55}, {"identifier": "G22", "position": [1, 9], "step": 55, "ordinal_position": 56}, {"identifier": "O49", "position": [1, 8], "step": 56, "ordinal_position": 57}, {"identifier": "R90", "position": [1, 7], "step": 57, "ordinal_position": 58}, {"identifier": "M46", "position": [2, 7], "step": 58, "ordinal_position": 59}, {"identifier": "R02", "position": [3, 7], "step": 59, "ordinal_position": 60}, {"identifier": "J98", "position": [3, 8], "step": 60, "ordinal_position": 61}, {"identifier": "B49", "position": [3, 9], "step": 61, "ordinal_position": 62}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 62, "direction": "left", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_019.json"}} {"qa_id": "88ea566edb5a4618b71fc7edecc04c50", "image_id": "L3-MazeLoop-test_21x21_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled F73, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 65th position in this traversal?", "start_object_id": "F73", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [65], "ordinal_strings": ["65th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "D61", "traversal_path": [{"identifier": "F73", "position": [13, 19], "step": 0, "ordinal_position": 1}, {"identifier": "I55", "position": [13, 18], "step": 1, "ordinal_position": 2}, {"identifier": "U14", "position": [13, 17], "step": 2, "ordinal_position": 3}, {"identifier": "B06", "position": [14, 17], "step": 3, "ordinal_position": 4}, {"identifier": "K20", "position": [15, 17], "step": 4, "ordinal_position": 5}, {"identifier": "W71", "position": [15, 18], "step": 5, "ordinal_position": 6}, {"identifier": "Y94", "position": [15, 19], "step": 6, "ordinal_position": 7}, {"identifier": "E89", "position": [16, 19], "step": 7, "ordinal_position": 8}, {"identifier": "G07", "position": [17, 19], "step": 8, "ordinal_position": 9}, {"identifier": "D72", "position": [18, 19], "step": 9, "ordinal_position": 10}, {"identifier": "H79", "position": [19, 19], "step": 10, "ordinal_position": 11}, {"identifier": "D43", "position": [19, 18], "step": 11, "ordinal_position": 12}, {"identifier": "F25", "position": [19, 17], "step": 12, "ordinal_position": 13}, {"identifier": "W89", "position": [19, 16], "step": 13, "ordinal_position": 14}, {"identifier": "L51", "position": [19, 15], "step": 14, "ordinal_position": 15}, {"identifier": "B40", "position": [19, 14], "step": 15, "ordinal_position": 16}, {"identifier": "D61", "position": [19, 13], "step": 16, "ordinal_position": 17}, {"identifier": "P82", "position": [19, 12], "step": 17, "ordinal_position": 18}, {"identifier": "C27", "position": [19, 11], "step": 18, "ordinal_position": 19}, {"identifier": "S41", "position": [19, 10], "step": 19, "ordinal_position": 20}, {"identifier": "W03", "position": [19, 9], "step": 20, "ordinal_position": 21}, {"identifier": "K76", "position": [19, 8], "step": 21, "ordinal_position": 22}, {"identifier": "T97", "position": [19, 7], "step": 22, "ordinal_position": 23}, {"identifier": "L50", "position": [19, 6], "step": 23, "ordinal_position": 24}, {"identifier": "E37", "position": [19, 5], "step": 24, "ordinal_position": 25}, {"identifier": "M11", "position": [19, 4], "step": 25, "ordinal_position": 26}, {"identifier": "R49", "position": [19, 3], "step": 26, "ordinal_position": 27}, {"identifier": "Y20", "position": [19, 2], "step": 27, "ordinal_position": 28}, {"identifier": "B84", "position": [19, 1], "step": 28, "ordinal_position": 29}, {"identifier": "Y90", "position": [18, 1], "step": 29, "ordinal_position": 30}, {"identifier": "G78", "position": [17, 1], "step": 30, "ordinal_position": 31}, {"identifier": "V87", "position": [16, 1], "step": 31, "ordinal_position": 32}, {"identifier": "Y30", "position": [15, 1], "step": 32, "ordinal_position": 33}, {"identifier": "T91", "position": [14, 1], "step": 33, "ordinal_position": 34}, {"identifier": "T17", "position": [13, 1], "step": 34, "ordinal_position": 35}, {"identifier": "T55", "position": [12, 1], "step": 35, "ordinal_position": 36}, {"identifier": "A89", "position": [11, 1], "step": 36, "ordinal_position": 37}, {"identifier": "L11", "position": [10, 1], "step": 37, "ordinal_position": 38}, {"identifier": "P83", "position": [9, 1], "step": 38, "ordinal_position": 39}, {"identifier": "W73", "position": [9, 2], "step": 39, "ordinal_position": 40}, {"identifier": "A50", "position": [9, 3], "step": 40, "ordinal_position": 41}, {"identifier": "J27", "position": [10, 3], "step": 41, "ordinal_position": 42}, {"identifier": "W29", "position": [11, 3], "step": 42, "ordinal_position": 43}, {"identifier": "U06", "position": [11, 2], "step": 43, "ordinal_position": 44}, {"identifier": "A89", "position": [11, 1], "step": 44, "ordinal_position": 45}, {"identifier": "T55", "position": [12, 1], "step": 45, "ordinal_position": 46}, {"identifier": "T17", "position": [13, 1], "step": 46, "ordinal_position": 47}, {"identifier": "T91", "position": [14, 1], "step": 47, "ordinal_position": 48}, {"identifier": "Y30", "position": [15, 1], "step": 48, "ordinal_position": 49}, {"identifier": "V87", "position": [16, 1], "step": 49, "ordinal_position": 50}, {"identifier": "G78", "position": [17, 1], "step": 50, "ordinal_position": 51}, {"identifier": "Y90", "position": [18, 1], "step": 51, "ordinal_position": 52}, {"identifier": "B84", "position": [19, 1], "step": 52, "ordinal_position": 53}, {"identifier": "Y20", "position": [19, 2], "step": 53, "ordinal_position": 54}, {"identifier": "R49", "position": [19, 3], "step": 54, "ordinal_position": 55}, {"identifier": "M11", "position": [19, 4], "step": 55, "ordinal_position": 56}, {"identifier": "E37", "position": [19, 5], "step": 56, "ordinal_position": 57}, {"identifier": "L50", "position": [19, 6], "step": 57, "ordinal_position": 58}, {"identifier": "T97", "position": [19, 7], "step": 58, "ordinal_position": 59}, {"identifier": "K76", "position": [19, 8], "step": 59, "ordinal_position": 60}, {"identifier": "W03", "position": [19, 9], "step": 60, "ordinal_position": 61}, {"identifier": "S41", "position": [19, 10], "step": 61, "ordinal_position": 62}, {"identifier": "C27", "position": [19, 11], "step": 62, "ordinal_position": 63}, {"identifier": "P82", "position": [19, 12], "step": 63, "ordinal_position": 64}, {"identifier": "D61", "position": [19, 13], "step": 64, "ordinal_position": 65}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 65, "direction": "up", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_019.json"}} {"qa_id": "f3151fd121d54d04bd8311ceb9e9236b", "image_id": "L3-MazeLoop-test_21x21_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled G78, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 56th position in this traversal?", "start_object_id": "G78", "directions": ["left"], "turn_preferences": ["right"], "ordinal_numbers": [56], "ordinal_strings": ["56th"], "ordinal_number_levels": ["L2_medium"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Q45", "traversal_path": [{"identifier": "G78", "position": [17, 1], "step": 0, "ordinal_position": 1}, {"identifier": "V87", "position": [16, 1], "step": 1, "ordinal_position": 2}, {"identifier": "Y30", "position": [15, 1], "step": 2, "ordinal_position": 3}, {"identifier": "T91", "position": [14, 1], "step": 3, "ordinal_position": 4}, {"identifier": "T17", "position": [13, 1], "step": 4, "ordinal_position": 5}, {"identifier": "T55", "position": [12, 1], "step": 5, "ordinal_position": 6}, {"identifier": "A89", "position": [11, 1], "step": 6, "ordinal_position": 7}, {"identifier": "L11", "position": [10, 1], "step": 7, "ordinal_position": 8}, {"identifier": "P83", "position": [9, 1], "step": 8, "ordinal_position": 9}, {"identifier": "W73", "position": [9, 2], "step": 9, "ordinal_position": 10}, {"identifier": "A50", "position": [9, 3], "step": 10, "ordinal_position": 11}, {"identifier": "J27", "position": [10, 3], "step": 11, "ordinal_position": 12}, {"identifier": "W29", "position": [11, 3], "step": 12, "ordinal_position": 13}, {"identifier": "U06", "position": [11, 2], "step": 13, "ordinal_position": 14}, {"identifier": "A89", "position": [11, 1], "step": 14, "ordinal_position": 15}, {"identifier": "T55", "position": [12, 1], "step": 15, "ordinal_position": 16}, {"identifier": "T17", "position": [13, 1], "step": 16, "ordinal_position": 17}, {"identifier": "T91", "position": [14, 1], "step": 17, "ordinal_position": 18}, {"identifier": "Y30", "position": [15, 1], "step": 18, "ordinal_position": 19}, {"identifier": "V87", "position": [16, 1], "step": 19, "ordinal_position": 20}, {"identifier": "G78", "position": [17, 1], "step": 20, "ordinal_position": 21}, {"identifier": "Y90", "position": [18, 1], "step": 21, "ordinal_position": 22}, {"identifier": "B84", "position": [19, 1], "step": 22, "ordinal_position": 23}, {"identifier": "Y20", "position": [19, 2], "step": 23, "ordinal_position": 24}, {"identifier": "R49", "position": [19, 3], "step": 24, "ordinal_position": 25}, {"identifier": "M11", "position": [19, 4], "step": 25, "ordinal_position": 26}, {"identifier": "E37", "position": [19, 5], "step": 26, "ordinal_position": 27}, {"identifier": "L50", "position": [19, 6], "step": 27, "ordinal_position": 28}, {"identifier": "T97", "position": [19, 7], "step": 28, "ordinal_position": 29}, {"identifier": "K76", "position": [19, 8], "step": 29, "ordinal_position": 30}, {"identifier": "W03", "position": [19, 9], "step": 30, "ordinal_position": 31}, {"identifier": "S41", "position": [19, 10], "step": 31, "ordinal_position": 32}, {"identifier": "C27", "position": [19, 11], "step": 32, "ordinal_position": 33}, {"identifier": "P82", "position": [19, 12], "step": 33, "ordinal_position": 34}, {"identifier": "D61", "position": [19, 13], "step": 34, "ordinal_position": 35}, {"identifier": "B40", "position": [19, 14], "step": 35, "ordinal_position": 36}, {"identifier": "L51", "position": [19, 15], "step": 36, "ordinal_position": 37}, {"identifier": "W89", "position": [19, 16], "step": 37, "ordinal_position": 38}, {"identifier": "F25", "position": [19, 17], "step": 38, "ordinal_position": 39}, {"identifier": "D43", "position": [19, 18], "step": 39, "ordinal_position": 40}, {"identifier": "H79", "position": [19, 19], "step": 40, "ordinal_position": 41}, {"identifier": "D72", "position": [18, 19], "step": 41, "ordinal_position": 42}, {"identifier": "G07", "position": [17, 19], "step": 42, "ordinal_position": 43}, {"identifier": "E89", "position": [16, 19], "step": 43, "ordinal_position": 44}, {"identifier": "Y94", "position": [15, 19], "step": 44, "ordinal_position": 45}, {"identifier": "W71", "position": [15, 18], "step": 45, "ordinal_position": 46}, {"identifier": "K20", "position": [15, 17], "step": 46, "ordinal_position": 47}, {"identifier": "B06", "position": [14, 17], "step": 47, "ordinal_position": 48}, {"identifier": "U14", "position": [13, 17], "step": 48, "ordinal_position": 49}, {"identifier": "I55", "position": [13, 18], "step": 49, "ordinal_position": 50}, {"identifier": "F73", "position": [13, 19], "step": 50, "ordinal_position": 51}, {"identifier": "H68", "position": [12, 19], "step": 51, "ordinal_position": 52}, {"identifier": "Q61", "position": [11, 19], "step": 52, "ordinal_position": 53}, {"identifier": "M59", "position": [10, 19], "step": 53, "ordinal_position": 54}, {"identifier": "B91", "position": [9, 19], "step": 54, "ordinal_position": 55}, {"identifier": "Q45", "position": [9, 18], "step": 55, "ordinal_position": 56}], "generation_details": {"level_category": "L2_medium", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 56, "direction": "left", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_019.json"}} {"qa_id": "b8df71a1e15d43278aafd7b18d616ca7", "image_id": "L3-MazeLoop-test_21x21_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled W41, treat this cell as the first in the sequence.\nBegin facing the up direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 142nd position in this traversal?", "start_object_id": "W41", "directions": ["up"], "turn_preferences": ["right"], "ordinal_numbers": [142], "ordinal_strings": ["142nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "H64", "traversal_path": [{"identifier": "W41", "position": [7, 6], "step": 0, "ordinal_position": 1}, {"identifier": "T11", "position": [7, 5], "step": 1, "ordinal_position": 2}, {"identifier": "Z11", "position": [8, 5], "step": 2, "ordinal_position": 3}, {"identifier": "Y25", "position": [9, 5], "step": 3, "ordinal_position": 4}, {"identifier": "L35", "position": [10, 5], "step": 4, "ordinal_position": 5}, {"identifier": "X57", "position": [11, 5], "step": 5, "ordinal_position": 6}, {"identifier": "B44", "position": [11, 6], "step": 6, "ordinal_position": 7}, {"identifier": "N00", "position": [11, 7], "step": 7, "ordinal_position": 8}, {"identifier": "I48", "position": [11, 8], "step": 8, "ordinal_position": 9}, {"identifier": "B99", "position": [11, 9], "step": 9, "ordinal_position": 10}, {"identifier": "L12", "position": [11, 10], "step": 10, "ordinal_position": 11}, {"identifier": "G83", "position": [11, 11], "step": 11, "ordinal_position": 12}, {"identifier": "H36", "position": [12, 11], "step": 12, "ordinal_position": 13}, {"identifier": "K04", "position": [13, 11], "step": 13, "ordinal_position": 14}, {"identifier": "V98", "position": [13, 10], "step": 14, "ordinal_position": 15}, {"identifier": "D89", "position": [13, 9], "step": 15, "ordinal_position": 16}, {"identifier": "X66", "position": [13, 8], "step": 16, "ordinal_position": 17}, {"identifier": "M45", "position": [13, 7], "step": 17, "ordinal_position": 18}, {"identifier": "S32", "position": [13, 6], "step": 18, "ordinal_position": 19}, {"identifier": "E21", "position": [13, 5], "step": 19, "ordinal_position": 20}, {"identifier": "B36", "position": [13, 4], "step": 20, "ordinal_position": 21}, {"identifier": "U02", "position": [13, 3], "step": 21, "ordinal_position": 22}, {"identifier": "K32", "position": [14, 3], "step": 22, "ordinal_position": 23}, {"identifier": "Z71", "position": [15, 3], "step": 23, "ordinal_position": 24}, {"identifier": "H38", "position": [16, 3], "step": 24, "ordinal_position": 25}, {"identifier": "Y95", "position": [17, 3], "step": 25, "ordinal_position": 26}, {"identifier": "A77", "position": [18, 3], "step": 26, "ordinal_position": 27}, {"identifier": "R49", "position": [19, 3], "step": 27, "ordinal_position": 28}, {"identifier": "M11", "position": [19, 4], "step": 28, "ordinal_position": 29}, {"identifier": "E37", "position": [19, 5], "step": 29, "ordinal_position": 30}, {"identifier": "L50", "position": [19, 6], "step": 30, "ordinal_position": 31}, {"identifier": "T97", "position": [19, 7], "step": 31, "ordinal_position": 32}, {"identifier": "K76", "position": [19, 8], "step": 32, "ordinal_position": 33}, {"identifier": "W03", "position": [19, 9], "step": 33, "ordinal_position": 34}, {"identifier": "S41", "position": [19, 10], "step": 34, "ordinal_position": 35}, {"identifier": "C27", "position": [19, 11], "step": 35, "ordinal_position": 36}, {"identifier": "P82", "position": [19, 12], "step": 36, "ordinal_position": 37}, {"identifier": "D61", "position": [19, 13], "step": 37, "ordinal_position": 38}, {"identifier": "B40", "position": [19, 14], "step": 38, "ordinal_position": 39}, {"identifier": "L51", "position": [19, 15], "step": 39, "ordinal_position": 40}, {"identifier": "W89", "position": [19, 16], "step": 40, "ordinal_position": 41}, {"identifier": "F25", "position": [19, 17], "step": 41, "ordinal_position": 42}, {"identifier": "D43", "position": [19, 18], "step": 42, "ordinal_position": 43}, {"identifier": "H79", "position": [19, 19], "step": 43, "ordinal_position": 44}, {"identifier": "D72", "position": [18, 19], "step": 44, "ordinal_position": 45}, {"identifier": "G07", "position": [17, 19], "step": 45, "ordinal_position": 46}, {"identifier": "E89", "position": [16, 19], "step": 46, "ordinal_position": 47}, {"identifier": "Y94", "position": [15, 19], "step": 47, "ordinal_position": 48}, {"identifier": "W71", "position": [15, 18], "step": 48, "ordinal_position": 49}, {"identifier": "K20", "position": [15, 17], "step": 49, "ordinal_position": 50}, {"identifier": "B06", "position": [14, 17], "step": 50, "ordinal_position": 51}, {"identifier": "U14", "position": [13, 17], "step": 51, "ordinal_position": 52}, {"identifier": "I55", "position": [13, 18], "step": 52, "ordinal_position": 53}, {"identifier": "F73", "position": [13, 19], "step": 53, "ordinal_position": 54}, {"identifier": "H68", "position": [12, 19], "step": 54, "ordinal_position": 55}, {"identifier": "Q61", "position": [11, 19], "step": 55, "ordinal_position": 56}, {"identifier": "M59", "position": [10, 19], "step": 56, "ordinal_position": 57}, {"identifier": "B91", "position": [9, 19], "step": 57, "ordinal_position": 58}, {"identifier": "Q45", "position": [9, 18], "step": 58, "ordinal_position": 59}, {"identifier": "F05", "position": [9, 17], "step": 59, "ordinal_position": 60}, {"identifier": "W10", "position": [10, 17], "step": 60, "ordinal_position": 61}, {"identifier": "B78", "position": [11, 17], "step": 61, "ordinal_position": 62}, {"identifier": "D52", "position": [11, 16], "step": 62, "ordinal_position": 63}, {"identifier": "K29", "position": [11, 15], "step": 63, "ordinal_position": 64}, {"identifier": "G70", "position": [10, 15], "step": 64, "ordinal_position": 65}, {"identifier": "K23", "position": [9, 15], "step": 65, "ordinal_position": 66}, {"identifier": "J23", "position": [8, 15], "step": 66, "ordinal_position": 67}, {"identifier": "L43", "position": [7, 15], "step": 67, "ordinal_position": 68}, {"identifier": "S75", "position": [6, 15], "step": 68, "ordinal_position": 69}, {"identifier": "O21", "position": [5, 15], "step": 69, "ordinal_position": 70}, {"identifier": "R33", "position": [4, 15], "step": 70, "ordinal_position": 71}, {"identifier": "Y50", "position": [3, 15], "step": 71, "ordinal_position": 72}, {"identifier": "H75", "position": [2, 15], "step": 72, "ordinal_position": 73}, {"identifier": "C93", "position": [1, 15], "step": 73, "ordinal_position": 74}, {"identifier": "G08", "position": [1, 16], "step": 74, "ordinal_position": 75}, {"identifier": "Z17", "position": [1, 17], "step": 75, "ordinal_position": 76}, {"identifier": "S19", "position": [1, 18], "step": 76, "ordinal_position": 77}, {"identifier": "Y14", "position": [1, 19], "step": 77, "ordinal_position": 78}, {"identifier": "U70", "position": [2, 19], "step": 78, "ordinal_position": 79}, {"identifier": "Y44", "position": [3, 19], "step": 79, "ordinal_position": 80}, {"identifier": "N78", "position": [4, 19], "step": 80, "ordinal_position": 81}, {"identifier": "N62", "position": [5, 19], "step": 81, "ordinal_position": 82}, {"identifier": "W34", "position": [6, 19], "step": 82, "ordinal_position": 83}, {"identifier": "F63", "position": [7, 19], "step": 83, "ordinal_position": 84}, {"identifier": "Z96", "position": [7, 18], "step": 84, "ordinal_position": 85}, {"identifier": "H64", "position": [7, 17], "step": 85, "ordinal_position": 86}, {"identifier": "B02", "position": [8, 17], "step": 86, "ordinal_position": 87}, {"identifier": "F05", "position": [9, 17], "step": 87, "ordinal_position": 88}, {"identifier": "W10", "position": [10, 17], "step": 88, "ordinal_position": 89}, {"identifier": "B78", "position": [11, 17], "step": 89, "ordinal_position": 90}, {"identifier": "D52", "position": [11, 16], "step": 90, "ordinal_position": 91}, {"identifier": "K29", "position": [11, 15], "step": 91, "ordinal_position": 92}, {"identifier": "G70", "position": [10, 15], "step": 92, "ordinal_position": 93}, {"identifier": "K23", "position": [9, 15], "step": 93, "ordinal_position": 94}, {"identifier": "J23", "position": [8, 15], "step": 94, "ordinal_position": 95}, {"identifier": "L43", "position": [7, 15], "step": 95, "ordinal_position": 96}, {"identifier": "S75", "position": [6, 15], "step": 96, "ordinal_position": 97}, {"identifier": "O21", "position": [5, 15], "step": 97, "ordinal_position": 98}, {"identifier": "R33", "position": [4, 15], "step": 98, "ordinal_position": 99}, {"identifier": "Y50", "position": [3, 15], "step": 99, "ordinal_position": 100}, {"identifier": "H75", "position": [2, 15], "step": 100, "ordinal_position": 101}, {"identifier": "C93", "position": [1, 15], "step": 101, "ordinal_position": 102}, {"identifier": "G08", "position": [1, 16], "step": 102, "ordinal_position": 103}, {"identifier": "Z17", "position": [1, 17], "step": 103, "ordinal_position": 104}, {"identifier": "S19", "position": [1, 18], "step": 104, "ordinal_position": 105}, {"identifier": "Y14", "position": [1, 19], "step": 105, "ordinal_position": 106}, {"identifier": "U70", "position": [2, 19], "step": 106, "ordinal_position": 107}, {"identifier": "Y44", "position": [3, 19], "step": 107, "ordinal_position": 108}, {"identifier": "N78", "position": [4, 19], "step": 108, "ordinal_position": 109}, {"identifier": "N62", "position": [5, 19], "step": 109, "ordinal_position": 110}, {"identifier": "W34", "position": [6, 19], "step": 110, "ordinal_position": 111}, {"identifier": "F63", "position": [7, 19], "step": 111, "ordinal_position": 112}, {"identifier": "Z96", "position": [7, 18], "step": 112, "ordinal_position": 113}, {"identifier": "H64", "position": [7, 17], "step": 113, "ordinal_position": 114}, {"identifier": "B02", "position": [8, 17], "step": 114, "ordinal_position": 115}, {"identifier": "F05", "position": [9, 17], "step": 115, "ordinal_position": 116}, {"identifier": "W10", "position": [10, 17], "step": 116, "ordinal_position": 117}, {"identifier": "B78", "position": [11, 17], "step": 117, "ordinal_position": 118}, {"identifier": "D52", "position": [11, 16], "step": 118, "ordinal_position": 119}, {"identifier": "K29", "position": [11, 15], "step": 119, "ordinal_position": 120}, {"identifier": "G70", "position": [10, 15], "step": 120, "ordinal_position": 121}, {"identifier": "K23", "position": [9, 15], "step": 121, "ordinal_position": 122}, {"identifier": "J23", "position": [8, 15], "step": 122, "ordinal_position": 123}, {"identifier": "L43", "position": [7, 15], "step": 123, "ordinal_position": 124}, {"identifier": "S75", "position": [6, 15], "step": 124, "ordinal_position": 125}, {"identifier": "O21", "position": [5, 15], "step": 125, "ordinal_position": 126}, {"identifier": "R33", "position": [4, 15], "step": 126, "ordinal_position": 127}, {"identifier": "Y50", "position": [3, 15], "step": 127, "ordinal_position": 128}, {"identifier": "H75", "position": [2, 15], "step": 128, "ordinal_position": 129}, {"identifier": "C93", "position": [1, 15], "step": 129, "ordinal_position": 130}, {"identifier": "G08", "position": [1, 16], "step": 130, "ordinal_position": 131}, {"identifier": "Z17", "position": [1, 17], "step": 131, "ordinal_position": 132}, {"identifier": "S19", "position": [1, 18], "step": 132, "ordinal_position": 133}, {"identifier": "Y14", "position": [1, 19], "step": 133, "ordinal_position": 134}, {"identifier": "U70", "position": [2, 19], "step": 134, "ordinal_position": 135}, {"identifier": "Y44", "position": [3, 19], "step": 135, "ordinal_position": 136}, {"identifier": "N78", "position": [4, 19], "step": 136, "ordinal_position": 137}, {"identifier": "N62", "position": [5, 19], "step": 137, "ordinal_position": 138}, {"identifier": "W34", "position": [6, 19], "step": 138, "ordinal_position": 139}, {"identifier": "F63", "position": [7, 19], "step": 139, "ordinal_position": 140}, {"identifier": "Z96", "position": [7, 18], "step": 140, "ordinal_position": 141}, {"identifier": "H64", "position": [7, 17], "step": 141, "ordinal_position": 142}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 142, "direction": "up", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_019.json"}} {"qa_id": "af95105421114bddb39aca7a86d0ea6e", "image_id": "L3-MazeLoop-test_21x21_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled X70, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 272nd position in this traversal?", "start_object_id": "X70", "directions": ["down"], "turn_preferences": ["right"], "ordinal_numbers": [272], "ordinal_strings": ["272nd"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "Y50", "traversal_path": [{"identifier": "X70", "position": [15, 4], "step": 0, "ordinal_position": 1}, {"identifier": "R97", "position": [15, 5], "step": 1, "ordinal_position": 2}, {"identifier": "L01", "position": [16, 5], "step": 2, "ordinal_position": 3}, {"identifier": "M64", "position": [17, 5], "step": 3, "ordinal_position": 4}, {"identifier": "J91", "position": [17, 6], "step": 4, "ordinal_position": 5}, {"identifier": "M72", "position": [17, 7], "step": 5, "ordinal_position": 6}, {"identifier": "H07", "position": [17, 8], "step": 6, "ordinal_position": 7}, {"identifier": "H58", "position": [17, 9], "step": 7, "ordinal_position": 8}, {"identifier": "Z84", "position": [18, 9], "step": 8, "ordinal_position": 9}, {"identifier": "W03", "position": [19, 9], "step": 9, "ordinal_position": 10}, {"identifier": "S41", "position": [19, 10], "step": 10, "ordinal_position": 11}, {"identifier": "C27", "position": [19, 11], "step": 11, "ordinal_position": 12}, {"identifier": "P82", "position": [19, 12], "step": 12, "ordinal_position": 13}, {"identifier": "D61", "position": [19, 13], "step": 13, "ordinal_position": 14}, {"identifier": "B40", "position": [19, 14], "step": 14, "ordinal_position": 15}, {"identifier": "L51", "position": [19, 15], "step": 15, "ordinal_position": 16}, {"identifier": "W89", "position": [19, 16], "step": 16, "ordinal_position": 17}, {"identifier": "F25", "position": [19, 17], "step": 17, "ordinal_position": 18}, {"identifier": "D43", "position": [19, 18], "step": 18, "ordinal_position": 19}, {"identifier": "H79", "position": [19, 19], "step": 19, "ordinal_position": 20}, {"identifier": "D72", "position": [18, 19], "step": 20, "ordinal_position": 21}, {"identifier": "G07", "position": [17, 19], "step": 21, "ordinal_position": 22}, {"identifier": "E89", "position": [16, 19], "step": 22, "ordinal_position": 23}, {"identifier": "Y94", "position": [15, 19], "step": 23, "ordinal_position": 24}, {"identifier": "W71", "position": [15, 18], "step": 24, "ordinal_position": 25}, {"identifier": "K20", "position": [15, 17], "step": 25, "ordinal_position": 26}, {"identifier": "B06", "position": [14, 17], "step": 26, "ordinal_position": 27}, {"identifier": "U14", "position": [13, 17], "step": 27, "ordinal_position": 28}, {"identifier": "I55", "position": [13, 18], "step": 28, "ordinal_position": 29}, {"identifier": "F73", "position": [13, 19], "step": 29, "ordinal_position": 30}, {"identifier": "H68", "position": [12, 19], "step": 30, "ordinal_position": 31}, {"identifier": "Q61", "position": [11, 19], "step": 31, "ordinal_position": 32}, {"identifier": "M59", "position": [10, 19], "step": 32, "ordinal_position": 33}, {"identifier": "B91", "position": [9, 19], "step": 33, "ordinal_position": 34}, {"identifier": "Q45", "position": [9, 18], "step": 34, "ordinal_position": 35}, {"identifier": "F05", "position": [9, 17], "step": 35, "ordinal_position": 36}, {"identifier": "W10", "position": [10, 17], "step": 36, "ordinal_position": 37}, {"identifier": "B78", "position": [11, 17], "step": 37, "ordinal_position": 38}, {"identifier": "D52", "position": [11, 16], "step": 38, "ordinal_position": 39}, {"identifier": "K29", "position": [11, 15], "step": 39, "ordinal_position": 40}, {"identifier": "G70", "position": [10, 15], "step": 40, "ordinal_position": 41}, {"identifier": "K23", "position": [9, 15], "step": 41, "ordinal_position": 42}, {"identifier": "J23", "position": [8, 15], "step": 42, "ordinal_position": 43}, {"identifier": "L43", "position": [7, 15], "step": 43, "ordinal_position": 44}, {"identifier": "S75", "position": [6, 15], "step": 44, "ordinal_position": 45}, {"identifier": "O21", "position": [5, 15], "step": 45, "ordinal_position": 46}, {"identifier": "R33", "position": [4, 15], "step": 46, "ordinal_position": 47}, {"identifier": "Y50", "position": [3, 15], "step": 47, "ordinal_position": 48}, {"identifier": "H75", "position": [2, 15], "step": 48, "ordinal_position": 49}, {"identifier": "C93", "position": [1, 15], "step": 49, "ordinal_position": 50}, {"identifier": "G08", "position": [1, 16], "step": 50, "ordinal_position": 51}, {"identifier": "Z17", "position": [1, 17], "step": 51, "ordinal_position": 52}, {"identifier": "S19", "position": [1, 18], "step": 52, "ordinal_position": 53}, {"identifier": "Y14", "position": [1, 19], "step": 53, "ordinal_position": 54}, {"identifier": "U70", "position": [2, 19], "step": 54, "ordinal_position": 55}, {"identifier": "Y44", "position": [3, 19], "step": 55, "ordinal_position": 56}, {"identifier": "N78", "position": [4, 19], "step": 56, "ordinal_position": 57}, {"identifier": "N62", "position": [5, 19], "step": 57, "ordinal_position": 58}, {"identifier": "W34", "position": [6, 19], "step": 58, "ordinal_position": 59}, {"identifier": "F63", "position": [7, 19], "step": 59, "ordinal_position": 60}, {"identifier": "Z96", "position": [7, 18], "step": 60, "ordinal_position": 61}, {"identifier": "H64", "position": [7, 17], "step": 61, "ordinal_position": 62}, {"identifier": "B02", "position": [8, 17], "step": 62, "ordinal_position": 63}, {"identifier": "F05", "position": [9, 17], "step": 63, "ordinal_position": 64}, {"identifier": "W10", "position": [10, 17], "step": 64, "ordinal_position": 65}, {"identifier": "B78", "position": [11, 17], "step": 65, "ordinal_position": 66}, {"identifier": "D52", "position": [11, 16], "step": 66, "ordinal_position": 67}, {"identifier": "K29", "position": [11, 15], "step": 67, "ordinal_position": 68}, {"identifier": "G70", "position": [10, 15], "step": 68, "ordinal_position": 69}, {"identifier": "K23", "position": [9, 15], "step": 69, "ordinal_position": 70}, {"identifier": "J23", "position": [8, 15], "step": 70, "ordinal_position": 71}, {"identifier": "L43", "position": [7, 15], "step": 71, "ordinal_position": 72}, {"identifier": "S75", "position": [6, 15], "step": 72, "ordinal_position": 73}, {"identifier": "O21", "position": [5, 15], "step": 73, "ordinal_position": 74}, {"identifier": "R33", "position": [4, 15], "step": 74, "ordinal_position": 75}, {"identifier": "Y50", "position": [3, 15], "step": 75, "ordinal_position": 76}, {"identifier": "H75", "position": [2, 15], "step": 76, "ordinal_position": 77}, {"identifier": "C93", "position": [1, 15], "step": 77, "ordinal_position": 78}, {"identifier": "G08", "position": [1, 16], "step": 78, "ordinal_position": 79}, {"identifier": "Z17", "position": [1, 17], "step": 79, "ordinal_position": 80}, {"identifier": "S19", "position": [1, 18], "step": 80, "ordinal_position": 81}, {"identifier": "Y14", "position": [1, 19], "step": 81, "ordinal_position": 82}, {"identifier": "U70", "position": [2, 19], "step": 82, "ordinal_position": 83}, {"identifier": "Y44", "position": [3, 19], "step": 83, "ordinal_position": 84}, {"identifier": "N78", "position": [4, 19], "step": 84, "ordinal_position": 85}, {"identifier": "N62", "position": [5, 19], "step": 85, "ordinal_position": 86}, {"identifier": "W34", "position": [6, 19], "step": 86, "ordinal_position": 87}, {"identifier": "F63", "position": [7, 19], "step": 87, "ordinal_position": 88}, {"identifier": "Z96", "position": [7, 18], "step": 88, "ordinal_position": 89}, {"identifier": "H64", "position": [7, 17], "step": 89, "ordinal_position": 90}, {"identifier": "B02", "position": [8, 17], "step": 90, "ordinal_position": 91}, {"identifier": "F05", "position": [9, 17], "step": 91, "ordinal_position": 92}, {"identifier": "W10", "position": [10, 17], "step": 92, "ordinal_position": 93}, {"identifier": "B78", "position": [11, 17], "step": 93, "ordinal_position": 94}, {"identifier": "D52", "position": [11, 16], "step": 94, "ordinal_position": 95}, {"identifier": "K29", "position": [11, 15], "step": 95, "ordinal_position": 96}, {"identifier": "G70", "position": [10, 15], "step": 96, "ordinal_position": 97}, {"identifier": "K23", "position": [9, 15], "step": 97, "ordinal_position": 98}, {"identifier": "J23", "position": [8, 15], "step": 98, "ordinal_position": 99}, {"identifier": "L43", "position": [7, 15], "step": 99, "ordinal_position": 100}, {"identifier": "S75", "position": [6, 15], "step": 100, "ordinal_position": 101}, {"identifier": "O21", "position": [5, 15], "step": 101, "ordinal_position": 102}, {"identifier": "R33", "position": [4, 15], "step": 102, "ordinal_position": 103}, {"identifier": "Y50", "position": [3, 15], "step": 103, "ordinal_position": 104}, {"identifier": "H75", "position": [2, 15], "step": 104, "ordinal_position": 105}, {"identifier": "C93", "position": [1, 15], "step": 105, "ordinal_position": 106}, {"identifier": "G08", "position": [1, 16], "step": 106, "ordinal_position": 107}, {"identifier": "Z17", "position": [1, 17], "step": 107, "ordinal_position": 108}, {"identifier": "S19", "position": [1, 18], "step": 108, "ordinal_position": 109}, {"identifier": "Y14", "position": [1, 19], "step": 109, "ordinal_position": 110}, {"identifier": "U70", "position": [2, 19], "step": 110, "ordinal_position": 111}, {"identifier": "Y44", "position": [3, 19], "step": 111, "ordinal_position": 112}, {"identifier": "N78", "position": [4, 19], "step": 112, "ordinal_position": 113}, {"identifier": "N62", "position": [5, 19], "step": 113, "ordinal_position": 114}, {"identifier": "W34", "position": [6, 19], "step": 114, "ordinal_position": 115}, {"identifier": "F63", "position": [7, 19], "step": 115, "ordinal_position": 116}, {"identifier": "Z96", "position": [7, 18], "step": 116, "ordinal_position": 117}, {"identifier": "H64", "position": [7, 17], "step": 117, "ordinal_position": 118}, {"identifier": "B02", "position": [8, 17], "step": 118, "ordinal_position": 119}, {"identifier": "F05", "position": [9, 17], "step": 119, "ordinal_position": 120}, {"identifier": "W10", "position": [10, 17], "step": 120, "ordinal_position": 121}, {"identifier": "B78", "position": [11, 17], "step": 121, "ordinal_position": 122}, {"identifier": "D52", "position": [11, 16], "step": 122, "ordinal_position": 123}, {"identifier": "K29", "position": [11, 15], "step": 123, "ordinal_position": 124}, {"identifier": "G70", "position": [10, 15], "step": 124, "ordinal_position": 125}, {"identifier": "K23", "position": [9, 15], "step": 125, "ordinal_position": 126}, {"identifier": "J23", "position": [8, 15], "step": 126, "ordinal_position": 127}, {"identifier": "L43", "position": [7, 15], "step": 127, "ordinal_position": 128}, {"identifier": "S75", "position": [6, 15], "step": 128, "ordinal_position": 129}, {"identifier": "O21", "position": [5, 15], "step": 129, "ordinal_position": 130}, {"identifier": "R33", "position": [4, 15], "step": 130, "ordinal_position": 131}, {"identifier": "Y50", "position": [3, 15], "step": 131, "ordinal_position": 132}, {"identifier": "H75", "position": [2, 15], "step": 132, "ordinal_position": 133}, {"identifier": "C93", "position": [1, 15], "step": 133, "ordinal_position": 134}, {"identifier": "G08", "position": [1, 16], "step": 134, "ordinal_position": 135}, {"identifier": "Z17", "position": [1, 17], "step": 135, "ordinal_position": 136}, {"identifier": "S19", "position": [1, 18], "step": 136, "ordinal_position": 137}, {"identifier": "Y14", "position": [1, 19], "step": 137, "ordinal_position": 138}, {"identifier": "U70", "position": [2, 19], "step": 138, "ordinal_position": 139}, {"identifier": "Y44", "position": [3, 19], "step": 139, "ordinal_position": 140}, {"identifier": "N78", "position": [4, 19], "step": 140, "ordinal_position": 141}, {"identifier": "N62", "position": [5, 19], "step": 141, "ordinal_position": 142}, {"identifier": "W34", "position": [6, 19], "step": 142, "ordinal_position": 143}, {"identifier": "F63", "position": [7, 19], "step": 143, "ordinal_position": 144}, {"identifier": "Z96", "position": [7, 18], "step": 144, "ordinal_position": 145}, {"identifier": "H64", "position": [7, 17], "step": 145, "ordinal_position": 146}, {"identifier": "B02", "position": [8, 17], "step": 146, "ordinal_position": 147}, {"identifier": "F05", "position": [9, 17], "step": 147, "ordinal_position": 148}, {"identifier": "W10", "position": [10, 17], "step": 148, "ordinal_position": 149}, {"identifier": "B78", "position": [11, 17], "step": 149, "ordinal_position": 150}, {"identifier": "D52", "position": [11, 16], "step": 150, "ordinal_position": 151}, {"identifier": "K29", "position": [11, 15], "step": 151, "ordinal_position": 152}, {"identifier": "G70", "position": [10, 15], "step": 152, "ordinal_position": 153}, {"identifier": "K23", "position": [9, 15], "step": 153, "ordinal_position": 154}, {"identifier": "J23", "position": [8, 15], "step": 154, "ordinal_position": 155}, {"identifier": "L43", "position": [7, 15], "step": 155, "ordinal_position": 156}, {"identifier": "S75", "position": [6, 15], "step": 156, "ordinal_position": 157}, {"identifier": "O21", "position": [5, 15], "step": 157, "ordinal_position": 158}, {"identifier": "R33", "position": [4, 15], "step": 158, "ordinal_position": 159}, {"identifier": "Y50", "position": [3, 15], "step": 159, "ordinal_position": 160}, {"identifier": "H75", "position": [2, 15], "step": 160, 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"ordinal_position": 185}, {"identifier": "O21", "position": [5, 15], "step": 185, "ordinal_position": 186}, {"identifier": "R33", "position": [4, 15], "step": 186, "ordinal_position": 187}, {"identifier": "Y50", "position": [3, 15], "step": 187, "ordinal_position": 188}, {"identifier": "H75", "position": [2, 15], "step": 188, "ordinal_position": 189}, {"identifier": "C93", "position": [1, 15], "step": 189, "ordinal_position": 190}, {"identifier": "G08", "position": [1, 16], "step": 190, "ordinal_position": 191}, {"identifier": "Z17", "position": [1, 17], "step": 191, "ordinal_position": 192}, {"identifier": "S19", "position": [1, 18], "step": 192, "ordinal_position": 193}, {"identifier": "Y14", "position": [1, 19], "step": 193, "ordinal_position": 194}, {"identifier": "U70", "position": [2, 19], "step": 194, "ordinal_position": 195}, {"identifier": "Y44", "position": [3, 19], "step": 195, "ordinal_position": 196}, {"identifier": "N78", "position": [4, 19], "step": 196, "ordinal_position": 197}, {"identifier": "N62", "position": [5, 19], "step": 197, "ordinal_position": 198}, {"identifier": "W34", "position": [6, 19], "step": 198, "ordinal_position": 199}, {"identifier": "F63", "position": [7, 19], "step": 199, "ordinal_position": 200}, {"identifier": "Z96", "position": [7, 18], "step": 200, "ordinal_position": 201}, {"identifier": "H64", "position": [7, 17], "step": 201, "ordinal_position": 202}, {"identifier": "B02", "position": [8, 17], "step": 202, "ordinal_position": 203}, {"identifier": "F05", "position": [9, 17], "step": 203, "ordinal_position": 204}, {"identifier": "W10", "position": [10, 17], "step": 204, "ordinal_position": 205}, {"identifier": "B78", "position": [11, 17], "step": 205, "ordinal_position": 206}, {"identifier": "D52", "position": [11, 16], "step": 206, "ordinal_position": 207}, {"identifier": "K29", "position": [11, 15], "step": 207, "ordinal_position": 208}, {"identifier": "G70", "position": [10, 15], "step": 208, "ordinal_position": 209}, {"identifier": "K23", "position": [9, 15], "step": 209, "ordinal_position": 210}, {"identifier": "J23", "position": [8, 15], "step": 210, "ordinal_position": 211}, {"identifier": "L43", "position": [7, 15], "step": 211, "ordinal_position": 212}, {"identifier": "S75", "position": [6, 15], "step": 212, "ordinal_position": 213}, {"identifier": "O21", "position": [5, 15], "step": 213, "ordinal_position": 214}, {"identifier": "R33", "position": [4, 15], "step": 214, "ordinal_position": 215}, {"identifier": "Y50", "position": [3, 15], "step": 215, "ordinal_position": 216}, {"identifier": "H75", "position": [2, 15], "step": 216, "ordinal_position": 217}, {"identifier": "C93", "position": [1, 15], "step": 217, "ordinal_position": 218}, {"identifier": "G08", "position": [1, 16], "step": 218, "ordinal_position": 219}, {"identifier": "Z17", "position": [1, 17], "step": 219, "ordinal_position": 220}, {"identifier": "S19", "position": [1, 18], "step": 220, "ordinal_position": 221}, {"identifier": "Y14", "position": [1, 19], "step": 221, "ordinal_position": 222}, {"identifier": "U70", "position": [2, 19], "step": 222, "ordinal_position": 223}, {"identifier": "Y44", "position": [3, 19], "step": 223, "ordinal_position": 224}, {"identifier": "N78", "position": [4, 19], "step": 224, "ordinal_position": 225}, {"identifier": "N62", "position": [5, 19], "step": 225, "ordinal_position": 226}, {"identifier": "W34", "position": [6, 19], "step": 226, "ordinal_position": 227}, {"identifier": "F63", "position": [7, 19], "step": 227, "ordinal_position": 228}, {"identifier": "Z96", "position": [7, 18], "step": 228, "ordinal_position": 229}, {"identifier": "H64", "position": [7, 17], "step": 229, "ordinal_position": 230}, {"identifier": "B02", "position": [8, 17], "step": 230, "ordinal_position": 231}, {"identifier": "F05", "position": [9, 17], "step": 231, "ordinal_position": 232}, {"identifier": "W10", "position": [10, 17], "step": 232, "ordinal_position": 233}, {"identifier": "B78", "position": [11, 17], "step": 233, "ordinal_position": 234}, {"identifier": "D52", "position": [11, 16], "step": 234, "ordinal_position": 235}, {"identifier": "K29", "position": [11, 15], "step": 235, "ordinal_position": 236}, {"identifier": "G70", "position": [10, 15], "step": 236, "ordinal_position": 237}, {"identifier": "K23", "position": [9, 15], "step": 237, "ordinal_position": 238}, {"identifier": "J23", "position": [8, 15], "step": 238, "ordinal_position": 239}, {"identifier": "L43", "position": [7, 15], "step": 239, "ordinal_position": 240}, {"identifier": "S75", "position": [6, 15], "step": 240, "ordinal_position": 241}, {"identifier": "O21", "position": [5, 15], "step": 241, "ordinal_position": 242}, {"identifier": "R33", "position": [4, 15], "step": 242, "ordinal_position": 243}, {"identifier": "Y50", "position": [3, 15], "step": 243, "ordinal_position": 244}, {"identifier": "H75", "position": [2, 15], "step": 244, "ordinal_position": 245}, {"identifier": "C93", "position": [1, 15], "step": 245, "ordinal_position": 246}, {"identifier": "G08", "position": [1, 16], "step": 246, "ordinal_position": 247}, {"identifier": "Z17", "position": [1, 17], "step": 247, "ordinal_position": 248}, {"identifier": "S19", "position": [1, 18], "step": 248, "ordinal_position": 249}, {"identifier": "Y14", "position": [1, 19], "step": 249, "ordinal_position": 250}, {"identifier": "U70", "position": [2, 19], "step": 250, "ordinal_position": 251}, {"identifier": "Y44", "position": [3, 19], "step": 251, "ordinal_position": 252}, {"identifier": "N78", "position": [4, 19], "step": 252, "ordinal_position": 253}, {"identifier": "N62", "position": [5, 19], "step": 253, "ordinal_position": 254}, {"identifier": "W34", "position": [6, 19], "step": 254, "ordinal_position": 255}, {"identifier": "F63", "position": [7, 19], "step": 255, "ordinal_position": 256}, {"identifier": "Z96", "position": [7, 18], "step": 256, "ordinal_position": 257}, {"identifier": "H64", "position": [7, 17], "step": 257, "ordinal_position": 258}, {"identifier": "B02", "position": [8, 17], "step": 258, "ordinal_position": 259}, {"identifier": "F05", "position": [9, 17], "step": 259, "ordinal_position": 260}, {"identifier": "W10", "position": [10, 17], "step": 260, "ordinal_position": 261}, {"identifier": "B78", "position": [11, 17], "step": 261, "ordinal_position": 262}, {"identifier": "D52", "position": [11, 16], "step": 262, "ordinal_position": 263}, {"identifier": "K29", "position": [11, 15], "step": 263, "ordinal_position": 264}, {"identifier": "G70", "position": [10, 15], "step": 264, "ordinal_position": 265}, {"identifier": "K23", "position": [9, 15], "step": 265, "ordinal_position": 266}, {"identifier": "J23", "position": [8, 15], "step": 266, "ordinal_position": 267}, {"identifier": "L43", "position": [7, 15], "step": 267, "ordinal_position": 268}, {"identifier": "S75", "position": [6, 15], "step": 268, "ordinal_position": 269}, {"identifier": "O21", "position": [5, 15], "step": 269, "ordinal_position": 270}, {"identifier": "R33", "position": [4, 15], "step": 270, "ordinal_position": 271}, {"identifier": "Y50", "position": [3, 15], "step": 271, "ordinal_position": 272}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 272, "direction": "down", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_019.json"}} {"qa_id": "0dd7bcd51c924449b1b63cb6c1bcc711", "image_id": "L3-MazeLoop-test_21x21_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled C96, treat this cell as the first in the sequence.\nBegin facing the left direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 186th position in this traversal?", "start_object_id": "C96", "directions": ["left"], "turn_preferences": ["left"], "ordinal_numbers": [186], "ordinal_strings": ["186th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "H62", "traversal_path": [{"identifier": "C96", "position": [9, 11], "step": 0, "ordinal_position": 1}, {"identifier": "S74", "position": [8, 11], "step": 1, "ordinal_position": 2}, {"identifier": "B08", "position": [7, 11], "step": 2, "ordinal_position": 3}, {"identifier": "A08", "position": [7, 12], "step": 3, "ordinal_position": 4}, {"identifier": "V36", "position": [7, 13], "step": 4, "ordinal_position": 5}, {"identifier": "G97", "position": [6, 13], "step": 5, "ordinal_position": 6}, {"identifier": "B70", "position": [5, 13], "step": 6, "ordinal_position": 7}, {"identifier": "K17", "position": [4, 13], "step": 7, "ordinal_position": 8}, {"identifier": "Q25", "position": [3, 13], "step": 8, "ordinal_position": 9}, {"identifier": "H92", "position": [2, 13], "step": 9, "ordinal_position": 10}, {"identifier": "X89", "position": [1, 13], "step": 10, "ordinal_position": 11}, {"identifier": "J05", "position": [1, 12], "step": 11, "ordinal_position": 12}, {"identifier": "U10", "position": [1, 11], "step": 12, "ordinal_position": 13}, {"identifier": "Q05", "position": [1, 10], "step": 13, "ordinal_position": 14}, {"identifier": "G22", "position": [1, 9], "step": 14, "ordinal_position": 15}, {"identifier": "O49", "position": [1, 8], "step": 15, "ordinal_position": 16}, {"identifier": "R90", "position": [1, 7], "step": 16, "ordinal_position": 17}, {"identifier": "M46", "position": [2, 7], "step": 17, "ordinal_position": 18}, {"identifier": "R02", "position": [3, 7], "step": 18, "ordinal_position": 19}, {"identifier": "H01", "position": [3, 6], "step": 19, "ordinal_position": 20}, {"identifier": "E23", "position": [3, 5], "step": 20, "ordinal_position": 21}, {"identifier": "P60", "position": [2, 5], "step": 21, "ordinal_position": 22}, {"identifier": "C03", "position": [1, 5], "step": 22, "ordinal_position": 23}, {"identifier": "X54", "position": [1, 4], "step": 23, "ordinal_position": 24}, {"identifier": "C58", "position": [1, 3], "step": 24, "ordinal_position": 25}, {"identifier": "C83", "position": [1, 2], "step": 25, "ordinal_position": 26}, {"identifier": "D83", "position": [1, 1], "step": 26, "ordinal_position": 27}, {"identifier": "O86", "position": [2, 1], "step": 27, "ordinal_position": 28}, {"identifier": "C63", "position": [3, 1], "step": 28, "ordinal_position": 29}, {"identifier": "F15", "position": [4, 1], "step": 29, "ordinal_position": 30}, {"identifier": "T88", "position": [5, 1], "step": 30, "ordinal_position": 31}, {"identifier": "G72", "position": [6, 1], "step": 31, "ordinal_position": 32}, {"identifier": "S77", "position": [7, 1], "step": 32, "ordinal_position": 33}, {"identifier": "W80", "position": [7, 2], "step": 33, "ordinal_position": 34}, {"identifier": "G96", "position": [7, 3], "step": 34, "ordinal_position": 35}, {"identifier": "P03", "position": [6, 3], "step": 35, "ordinal_position": 36}, {"identifier": "V59", "position": [5, 3], "step": 36, "ordinal_position": 37}, {"identifier": "N76", "position": [4, 3], "step": 37, "ordinal_position": 38}, {"identifier": "Y52", "position": [3, 3], "step": 38, "ordinal_position": 39}, {"identifier": "Y43", "position": [2, 3], "step": 39, "ordinal_position": 40}, {"identifier": "C58", "position": [1, 3], "step": 40, "ordinal_position": 41}, {"identifier": "X54", "position": [1, 4], "step": 41, "ordinal_position": 42}, {"identifier": "C03", "position": [1, 5], "step": 42, "ordinal_position": 43}, {"identifier": "P60", "position": [2, 5], "step": 43, "ordinal_position": 44}, {"identifier": "E23", "position": [3, 5], "step": 44, "ordinal_position": 45}, {"identifier": "H01", "position": [3, 6], "step": 45, "ordinal_position": 46}, {"identifier": "R02", "position": [3, 7], "step": 46, "ordinal_position": 47}, {"identifier": "J98", "position": [3, 8], "step": 47, "ordinal_position": 48}, {"identifier": "B49", "position": [3, 9], "step": 48, "ordinal_position": 49}, {"identifier": "C95", "position": [2, 9], "step": 49, "ordinal_position": 50}, {"identifier": "G22", "position": [1, 9], "step": 50, "ordinal_position": 51}, {"identifier": "Q05", "position": [1, 10], "step": 51, "ordinal_position": 52}, {"identifier": "U10", "position": [1, 11], "step": 52, "ordinal_position": 53}, {"identifier": "J05", "position": [1, 12], "step": 53, "ordinal_position": 54}, {"identifier": "X89", "position": [1, 13], "step": 54, "ordinal_position": 55}, {"identifier": "H92", "position": [2, 13], "step": 55, "ordinal_position": 56}, {"identifier": "Q25", "position": [3, 13], "step": 56, "ordinal_position": 57}, {"identifier": "K17", "position": [4, 13], "step": 57, "ordinal_position": 58}, {"identifier": "B70", "position": [5, 13], "step": 58, "ordinal_position": 59}, {"identifier": "G97", "position": [6, 13], "step": 59, "ordinal_position": 60}, {"identifier": "V36", "position": [7, 13], "step": 60, "ordinal_position": 61}, {"identifier": "A08", "position": [7, 12], "step": 61, "ordinal_position": 62}, {"identifier": "B08", "position": [7, 11], "step": 62, "ordinal_position": 63}, {"identifier": "S74", "position": [8, 11], "step": 63, "ordinal_position": 64}, {"identifier": "C96", "position": [9, 11], "step": 64, "ordinal_position": 65}, {"identifier": "G39", "position": [9, 12], "step": 65, "ordinal_position": 66}, {"identifier": "K73", "position": [9, 13], "step": 66, "ordinal_position": 67}, {"identifier": "J87", "position": [10, 13], "step": 67, "ordinal_position": 68}, {"identifier": "P69", "position": [11, 13], "step": 68, "ordinal_position": 69}, {"identifier": "Y41", "position": [12, 13], "step": 69, "ordinal_position": 70}, {"identifier": "E76", "position": [13, 13], "step": 70, "ordinal_position": 71}, {"identifier": "E19", "position": [13, 14], "step": 71, "ordinal_position": 72}, {"identifier": "T03", "position": [13, 15], "step": 72, "ordinal_position": 73}, {"identifier": "E97", "position": [14, 15], "step": 73, "ordinal_position": 74}, {"identifier": "Y97", "position": [15, 15], "step": 74, "ordinal_position": 75}, {"identifier": "Q37", "position": [16, 15], "step": 75, "ordinal_position": 76}, {"identifier": "V32", "position": [17, 15], "step": 76, "ordinal_position": 77}, {"identifier": "M91", "position": [17, 14], "step": 77, "ordinal_position": 78}, {"identifier": "X60", "position": [17, 13], "step": 78, "ordinal_position": 79}, {"identifier": "S55", "position": [17, 12], "step": 79, "ordinal_position": 80}, {"identifier": "L84", "position": [17, 11], "step": 80, "ordinal_position": 81}, {"identifier": "H62", "position": [16, 11], "step": 81, "ordinal_position": 82}, {"identifier": "D60", "position": [15, 11], "step": 82, "ordinal_position": 83}, {"identifier": "O41", "position": [15, 12], "step": 83, "ordinal_position": 84}, {"identifier": "R08", "position": [15, 13], "step": 84, "ordinal_position": 85}, {"identifier": "H83", "position": [16, 13], "step": 85, "ordinal_position": 86}, {"identifier": "X60", "position": [17, 13], "step": 86, "ordinal_position": 87}, {"identifier": "S55", "position": [17, 12], "step": 87, "ordinal_position": 88}, {"identifier": "L84", "position": [17, 11], "step": 88, "ordinal_position": 89}, {"identifier": "H62", "position": [16, 11], "step": 89, "ordinal_position": 90}, {"identifier": "D60", "position": [15, 11], "step": 90, "ordinal_position": 91}, {"identifier": "O41", "position": [15, 12], "step": 91, "ordinal_position": 92}, {"identifier": "R08", "position": [15, 13], "step": 92, "ordinal_position": 93}, {"identifier": "H83", "position": [16, 13], "step": 93, "ordinal_position": 94}, {"identifier": "X60", "position": [17, 13], "step": 94, "ordinal_position": 95}, {"identifier": "S55", "position": [17, 12], "step": 95, "ordinal_position": 96}, {"identifier": "L84", "position": [17, 11], "step": 96, "ordinal_position": 97}, {"identifier": "H62", "position": [16, 11], "step": 97, "ordinal_position": 98}, {"identifier": "D60", "position": [15, 11], "step": 98, "ordinal_position": 99}, {"identifier": "O41", "position": [15, 12], "step": 99, "ordinal_position": 100}, {"identifier": "R08", "position": [15, 13], "step": 100, "ordinal_position": 101}, {"identifier": "H83", "position": [16, 13], "step": 101, "ordinal_position": 102}, {"identifier": "X60", "position": [17, 13], "step": 102, "ordinal_position": 103}, {"identifier": "S55", "position": [17, 12], "step": 103, "ordinal_position": 104}, {"identifier": "L84", "position": [17, 11], "step": 104, "ordinal_position": 105}, {"identifier": "H62", "position": [16, 11], "step": 105, "ordinal_position": 106}, {"identifier": "D60", "position": [15, 11], "step": 106, "ordinal_position": 107}, {"identifier": "O41", "position": [15, 12], "step": 107, "ordinal_position": 108}, {"identifier": "R08", "position": [15, 13], "step": 108, "ordinal_position": 109}, {"identifier": "H83", "position": [16, 13], "step": 109, "ordinal_position": 110}, {"identifier": "X60", "position": [17, 13], "step": 110, "ordinal_position": 111}, {"identifier": "S55", "position": [17, 12], "step": 111, "ordinal_position": 112}, {"identifier": "L84", "position": [17, 11], "step": 112, "ordinal_position": 113}, {"identifier": "H62", "position": [16, 11], "step": 113, "ordinal_position": 114}, {"identifier": "D60", "position": [15, 11], "step": 114, "ordinal_position": 115}, {"identifier": "O41", "position": [15, 12], "step": 115, "ordinal_position": 116}, {"identifier": "R08", "position": [15, 13], "step": 116, "ordinal_position": 117}, {"identifier": "H83", "position": [16, 13], "step": 117, "ordinal_position": 118}, {"identifier": "X60", "position": [17, 13], "step": 118, "ordinal_position": 119}, {"identifier": "S55", "position": [17, 12], "step": 119, "ordinal_position": 120}, {"identifier": "L84", "position": [17, 11], "step": 120, "ordinal_position": 121}, {"identifier": "H62", "position": [16, 11], "step": 121, "ordinal_position": 122}, {"identifier": "D60", "position": [15, 11], "step": 122, "ordinal_position": 123}, {"identifier": "O41", "position": [15, 12], "step": 123, "ordinal_position": 124}, {"identifier": "R08", "position": [15, 13], "step": 124, "ordinal_position": 125}, {"identifier": "H83", "position": [16, 13], "step": 125, "ordinal_position": 126}, {"identifier": "X60", "position": [17, 13], "step": 126, "ordinal_position": 127}, {"identifier": "S55", "position": [17, 12], "step": 127, "ordinal_position": 128}, {"identifier": "L84", "position": [17, 11], "step": 128, "ordinal_position": 129}, {"identifier": "H62", "position": [16, 11], "step": 129, "ordinal_position": 130}, {"identifier": "D60", "position": [15, 11], "step": 130, "ordinal_position": 131}, {"identifier": "O41", "position": [15, 12], "step": 131, "ordinal_position": 132}, {"identifier": "R08", "position": [15, 13], "step": 132, "ordinal_position": 133}, {"identifier": "H83", "position": [16, 13], "step": 133, "ordinal_position": 134}, {"identifier": "X60", "position": [17, 13], "step": 134, "ordinal_position": 135}, {"identifier": "S55", "position": [17, 12], "step": 135, "ordinal_position": 136}, {"identifier": "L84", "position": [17, 11], "step": 136, "ordinal_position": 137}, {"identifier": "H62", "position": [16, 11], "step": 137, "ordinal_position": 138}, {"identifier": "D60", "position": [15, 11], "step": 138, "ordinal_position": 139}, {"identifier": "O41", "position": [15, 12], "step": 139, "ordinal_position": 140}, {"identifier": "R08", "position": [15, 13], "step": 140, "ordinal_position": 141}, {"identifier": "H83", "position": [16, 13], "step": 141, "ordinal_position": 142}, {"identifier": "X60", "position": [17, 13], "step": 142, "ordinal_position": 143}, {"identifier": "S55", "position": [17, 12], "step": 143, "ordinal_position": 144}, {"identifier": "L84", "position": [17, 11], "step": 144, "ordinal_position": 145}, {"identifier": "H62", "position": [16, 11], "step": 145, "ordinal_position": 146}, {"identifier": "D60", "position": [15, 11], "step": 146, "ordinal_position": 147}, {"identifier": "O41", "position": [15, 12], "step": 147, "ordinal_position": 148}, {"identifier": "R08", "position": [15, 13], "step": 148, "ordinal_position": 149}, {"identifier": "H83", "position": [16, 13], "step": 149, "ordinal_position": 150}, {"identifier": "X60", "position": [17, 13], "step": 150, "ordinal_position": 151}, {"identifier": "S55", "position": [17, 12], "step": 151, "ordinal_position": 152}, {"identifier": "L84", "position": [17, 11], "step": 152, "ordinal_position": 153}, {"identifier": "H62", "position": [16, 11], "step": 153, "ordinal_position": 154}, {"identifier": "D60", "position": [15, 11], "step": 154, "ordinal_position": 155}, {"identifier": "O41", "position": [15, 12], "step": 155, "ordinal_position": 156}, {"identifier": "R08", "position": [15, 13], "step": 156, "ordinal_position": 157}, {"identifier": "H83", "position": [16, 13], "step": 157, "ordinal_position": 158}, {"identifier": "X60", "position": [17, 13], "step": 158, "ordinal_position": 159}, {"identifier": "S55", "position": [17, 12], "step": 159, "ordinal_position": 160}, {"identifier": "L84", "position": [17, 11], "step": 160, "ordinal_position": 161}, {"identifier": "H62", "position": [16, 11], "step": 161, "ordinal_position": 162}, {"identifier": "D60", "position": [15, 11], "step": 162, "ordinal_position": 163}, {"identifier": "O41", "position": [15, 12], "step": 163, "ordinal_position": 164}, {"identifier": "R08", "position": [15, 13], "step": 164, "ordinal_position": 165}, {"identifier": "H83", "position": [16, 13], "step": 165, "ordinal_position": 166}, {"identifier": "X60", "position": [17, 13], "step": 166, "ordinal_position": 167}, {"identifier": "S55", "position": [17, 12], "step": 167, "ordinal_position": 168}, {"identifier": "L84", "position": [17, 11], "step": 168, "ordinal_position": 169}, {"identifier": "H62", "position": [16, 11], "step": 169, "ordinal_position": 170}, {"identifier": "D60", "position": [15, 11], "step": 170, "ordinal_position": 171}, {"identifier": "O41", "position": [15, 12], "step": 171, "ordinal_position": 172}, {"identifier": "R08", "position": [15, 13], "step": 172, "ordinal_position": 173}, {"identifier": "H83", "position": [16, 13], "step": 173, "ordinal_position": 174}, {"identifier": "X60", "position": [17, 13], "step": 174, "ordinal_position": 175}, {"identifier": "S55", "position": [17, 12], "step": 175, "ordinal_position": 176}, {"identifier": "L84", "position": [17, 11], "step": 176, "ordinal_position": 177}, {"identifier": "H62", "position": [16, 11], "step": 177, "ordinal_position": 178}, {"identifier": "D60", "position": [15, 11], "step": 178, "ordinal_position": 179}, {"identifier": "O41", "position": [15, 12], "step": 179, "ordinal_position": 180}, {"identifier": "R08", "position": [15, 13], "step": 180, "ordinal_position": 181}, {"identifier": "H83", "position": [16, 13], "step": 181, "ordinal_position": 182}, {"identifier": "X60", "position": [17, 13], "step": 182, "ordinal_position": 183}, {"identifier": "S55", "position": [17, 12], "step": 183, "ordinal_position": 184}, {"identifier": "L84", "position": [17, 11], "step": 184, "ordinal_position": 185}, {"identifier": "H62", "position": [16, 11], "step": 185, "ordinal_position": 186}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 186, "direction": "left", "turn_preference": "left", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_019.json"}} {"qa_id": "c6afd5bc9cfd4529b8de4e53781bab7a", "image_id": "L3-MazeLoop-test_21x21_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled Z84, treat this cell as the first in the sequence.\nBegin facing the right direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn right.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 157th position in this traversal?", "start_object_id": "Z84", "directions": ["right"], "turn_preferences": ["right"], "ordinal_numbers": [157], "ordinal_strings": ["157th"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "S19", "traversal_path": [{"identifier": "Z84", "position": [18, 9], "step": 0, "ordinal_position": 1}, {"identifier": "W03", "position": [19, 9], "step": 1, "ordinal_position": 2}, {"identifier": "S41", "position": [19, 10], "step": 2, "ordinal_position": 3}, {"identifier": "C27", "position": [19, 11], "step": 3, "ordinal_position": 4}, {"identifier": "P82", "position": [19, 12], "step": 4, "ordinal_position": 5}, {"identifier": "D61", "position": [19, 13], "step": 5, "ordinal_position": 6}, {"identifier": "B40", "position": [19, 14], "step": 6, "ordinal_position": 7}, {"identifier": "L51", "position": [19, 15], "step": 7, "ordinal_position": 8}, {"identifier": "W89", "position": [19, 16], "step": 8, "ordinal_position": 9}, {"identifier": "F25", "position": [19, 17], "step": 9, "ordinal_position": 10}, {"identifier": "D43", "position": [19, 18], "step": 10, "ordinal_position": 11}, {"identifier": "H79", "position": [19, 19], "step": 11, "ordinal_position": 12}, {"identifier": "D72", "position": [18, 19], "step": 12, "ordinal_position": 13}, {"identifier": "G07", "position": [17, 19], "step": 13, "ordinal_position": 14}, {"identifier": "E89", "position": [16, 19], "step": 14, "ordinal_position": 15}, {"identifier": "Y94", "position": [15, 19], "step": 15, "ordinal_position": 16}, {"identifier": "W71", "position": [15, 18], "step": 16, "ordinal_position": 17}, {"identifier": "K20", "position": [15, 17], "step": 17, "ordinal_position": 18}, {"identifier": "B06", "position": [14, 17], "step": 18, "ordinal_position": 19}, {"identifier": "U14", "position": [13, 17], "step": 19, "ordinal_position": 20}, {"identifier": "I55", "position": [13, 18], "step": 20, "ordinal_position": 21}, {"identifier": "F73", "position": [13, 19], "step": 21, "ordinal_position": 22}, {"identifier": "H68", "position": [12, 19], "step": 22, "ordinal_position": 23}, {"identifier": "Q61", "position": [11, 19], "step": 23, "ordinal_position": 24}, {"identifier": "M59", "position": [10, 19], "step": 24, "ordinal_position": 25}, {"identifier": "B91", "position": [9, 19], "step": 25, "ordinal_position": 26}, {"identifier": "Q45", "position": [9, 18], "step": 26, "ordinal_position": 27}, {"identifier": "F05", "position": [9, 17], "step": 27, "ordinal_position": 28}, {"identifier": "W10", "position": [10, 17], "step": 28, "ordinal_position": 29}, {"identifier": "B78", "position": [11, 17], "step": 29, "ordinal_position": 30}, {"identifier": "D52", "position": [11, 16], "step": 30, "ordinal_position": 31}, {"identifier": "K29", "position": [11, 15], "step": 31, "ordinal_position": 32}, {"identifier": "G70", "position": [10, 15], "step": 32, "ordinal_position": 33}, {"identifier": "K23", "position": [9, 15], "step": 33, "ordinal_position": 34}, {"identifier": "J23", "position": [8, 15], "step": 34, "ordinal_position": 35}, {"identifier": "L43", "position": [7, 15], "step": 35, "ordinal_position": 36}, {"identifier": "S75", "position": [6, 15], "step": 36, "ordinal_position": 37}, {"identifier": "O21", "position": [5, 15], "step": 37, "ordinal_position": 38}, {"identifier": "R33", "position": [4, 15], "step": 38, "ordinal_position": 39}, {"identifier": "Y50", "position": [3, 15], "step": 39, "ordinal_position": 40}, {"identifier": "H75", "position": [2, 15], "step": 40, "ordinal_position": 41}, {"identifier": "C93", "position": [1, 15], "step": 41, "ordinal_position": 42}, {"identifier": "G08", "position": [1, 16], "step": 42, "ordinal_position": 43}, {"identifier": "Z17", "position": [1, 17], "step": 43, "ordinal_position": 44}, {"identifier": "S19", "position": [1, 18], "step": 44, "ordinal_position": 45}, {"identifier": "Y14", "position": [1, 19], "step": 45, "ordinal_position": 46}, {"identifier": "U70", "position": [2, 19], "step": 46, "ordinal_position": 47}, {"identifier": "Y44", "position": [3, 19], "step": 47, "ordinal_position": 48}, {"identifier": "N78", "position": [4, 19], "step": 48, "ordinal_position": 49}, {"identifier": "N62", "position": [5, 19], "step": 49, "ordinal_position": 50}, {"identifier": "W34", "position": [6, 19], "step": 50, "ordinal_position": 51}, {"identifier": "F63", "position": [7, 19], "step": 51, "ordinal_position": 52}, {"identifier": "Z96", "position": [7, 18], "step": 52, "ordinal_position": 53}, {"identifier": "H64", "position": [7, 17], "step": 53, "ordinal_position": 54}, {"identifier": "B02", "position": [8, 17], "step": 54, "ordinal_position": 55}, {"identifier": "F05", "position": [9, 17], "step": 55, "ordinal_position": 56}, {"identifier": "W10", "position": [10, 17], "step": 56, "ordinal_position": 57}, {"identifier": "B78", "position": [11, 17], "step": 57, "ordinal_position": 58}, {"identifier": "D52", "position": [11, 16], "step": 58, "ordinal_position": 59}, {"identifier": "K29", "position": [11, 15], "step": 59, "ordinal_position": 60}, {"identifier": "G70", "position": [10, 15], "step": 60, "ordinal_position": 61}, {"identifier": "K23", "position": [9, 15], "step": 61, "ordinal_position": 62}, {"identifier": "J23", "position": [8, 15], "step": 62, "ordinal_position": 63}, {"identifier": "L43", "position": [7, 15], "step": 63, "ordinal_position": 64}, {"identifier": "S75", "position": [6, 15], "step": 64, "ordinal_position": 65}, {"identifier": "O21", "position": [5, 15], "step": 65, "ordinal_position": 66}, {"identifier": "R33", "position": [4, 15], "step": 66, "ordinal_position": 67}, {"identifier": "Y50", "position": [3, 15], "step": 67, "ordinal_position": 68}, {"identifier": "H75", "position": [2, 15], "step": 68, "ordinal_position": 69}, {"identifier": "C93", "position": [1, 15], "step": 69, "ordinal_position": 70}, {"identifier": "G08", "position": [1, 16], "step": 70, "ordinal_position": 71}, {"identifier": "Z17", "position": [1, 17], "step": 71, "ordinal_position": 72}, {"identifier": "S19", "position": [1, 18], "step": 72, "ordinal_position": 73}, {"identifier": "Y14", "position": [1, 19], "step": 73, "ordinal_position": 74}, {"identifier": "U70", "position": [2, 19], "step": 74, "ordinal_position": 75}, {"identifier": "Y44", "position": [3, 19], "step": 75, "ordinal_position": 76}, {"identifier": "N78", "position": [4, 19], "step": 76, "ordinal_position": 77}, {"identifier": "N62", "position": [5, 19], "step": 77, "ordinal_position": 78}, {"identifier": "W34", "position": [6, 19], "step": 78, "ordinal_position": 79}, {"identifier": "F63", "position": [7, 19], "step": 79, "ordinal_position": 80}, {"identifier": "Z96", "position": [7, 18], "step": 80, "ordinal_position": 81}, {"identifier": "H64", "position": [7, 17], "step": 81, "ordinal_position": 82}, {"identifier": "B02", "position": [8, 17], "step": 82, "ordinal_position": 83}, {"identifier": "F05", "position": [9, 17], "step": 83, "ordinal_position": 84}, {"identifier": "W10", "position": [10, 17], "step": 84, "ordinal_position": 85}, {"identifier": "B78", "position": [11, 17], "step": 85, "ordinal_position": 86}, {"identifier": "D52", "position": [11, 16], "step": 86, "ordinal_position": 87}, {"identifier": "K29", "position": [11, 15], "step": 87, "ordinal_position": 88}, {"identifier": "G70", "position": [10, 15], "step": 88, "ordinal_position": 89}, {"identifier": "K23", "position": [9, 15], "step": 89, "ordinal_position": 90}, {"identifier": "J23", "position": [8, 15], "step": 90, "ordinal_position": 91}, {"identifier": "L43", "position": [7, 15], "step": 91, "ordinal_position": 92}, {"identifier": "S75", "position": [6, 15], "step": 92, "ordinal_position": 93}, {"identifier": "O21", "position": [5, 15], "step": 93, "ordinal_position": 94}, {"identifier": "R33", "position": [4, 15], "step": 94, "ordinal_position": 95}, {"identifier": "Y50", "position": [3, 15], "step": 95, "ordinal_position": 96}, {"identifier": "H75", "position": [2, 15], "step": 96, "ordinal_position": 97}, {"identifier": "C93", "position": [1, 15], "step": 97, "ordinal_position": 98}, {"identifier": "G08", "position": [1, 16], "step": 98, "ordinal_position": 99}, {"identifier": "Z17", "position": [1, 17], "step": 99, "ordinal_position": 100}, {"identifier": "S19", "position": [1, 18], "step": 100, "ordinal_position": 101}, {"identifier": "Y14", "position": [1, 19], "step": 101, "ordinal_position": 102}, {"identifier": "U70", "position": [2, 19], "step": 102, "ordinal_position": 103}, {"identifier": "Y44", "position": [3, 19], "step": 103, "ordinal_position": 104}, {"identifier": "N78", "position": [4, 19], "step": 104, "ordinal_position": 105}, {"identifier": "N62", "position": [5, 19], "step": 105, "ordinal_position": 106}, {"identifier": "W34", "position": [6, 19], "step": 106, "ordinal_position": 107}, {"identifier": "F63", "position": [7, 19], "step": 107, "ordinal_position": 108}, {"identifier": "Z96", "position": [7, 18], "step": 108, "ordinal_position": 109}, {"identifier": "H64", "position": [7, 17], "step": 109, "ordinal_position": 110}, {"identifier": "B02", "position": [8, 17], "step": 110, "ordinal_position": 111}, {"identifier": "F05", "position": [9, 17], "step": 111, "ordinal_position": 112}, {"identifier": "W10", "position": [10, 17], "step": 112, "ordinal_position": 113}, {"identifier": "B78", "position": [11, 17], "step": 113, "ordinal_position": 114}, {"identifier": "D52", "position": [11, 16], "step": 114, "ordinal_position": 115}, {"identifier": "K29", "position": [11, 15], "step": 115, "ordinal_position": 116}, {"identifier": "G70", "position": [10, 15], "step": 116, "ordinal_position": 117}, {"identifier": "K23", "position": [9, 15], "step": 117, "ordinal_position": 118}, {"identifier": "J23", "position": [8, 15], "step": 118, "ordinal_position": 119}, {"identifier": "L43", "position": [7, 15], "step": 119, "ordinal_position": 120}, {"identifier": "S75", "position": [6, 15], "step": 120, "ordinal_position": 121}, {"identifier": "O21", "position": [5, 15], "step": 121, "ordinal_position": 122}, {"identifier": "R33", "position": [4, 15], "step": 122, "ordinal_position": 123}, {"identifier": "Y50", "position": [3, 15], "step": 123, "ordinal_position": 124}, {"identifier": "H75", "position": [2, 15], "step": 124, "ordinal_position": 125}, {"identifier": "C93", "position": [1, 15], "step": 125, "ordinal_position": 126}, {"identifier": "G08", "position": [1, 16], "step": 126, "ordinal_position": 127}, {"identifier": "Z17", "position": [1, 17], "step": 127, "ordinal_position": 128}, {"identifier": "S19", "position": [1, 18], "step": 128, "ordinal_position": 129}, {"identifier": "Y14", "position": [1, 19], "step": 129, "ordinal_position": 130}, {"identifier": "U70", "position": [2, 19], "step": 130, "ordinal_position": 131}, {"identifier": "Y44", "position": [3, 19], "step": 131, "ordinal_position": 132}, {"identifier": "N78", "position": [4, 19], "step": 132, "ordinal_position": 133}, {"identifier": "N62", "position": [5, 19], "step": 133, "ordinal_position": 134}, {"identifier": "W34", "position": [6, 19], "step": 134, "ordinal_position": 135}, {"identifier": "F63", "position": [7, 19], "step": 135, "ordinal_position": 136}, {"identifier": "Z96", "position": [7, 18], "step": 136, "ordinal_position": 137}, {"identifier": "H64", "position": [7, 17], "step": 137, "ordinal_position": 138}, {"identifier": "B02", "position": [8, 17], "step": 138, "ordinal_position": 139}, {"identifier": "F05", "position": [9, 17], "step": 139, "ordinal_position": 140}, {"identifier": "W10", "position": [10, 17], "step": 140, "ordinal_position": 141}, {"identifier": "B78", "position": [11, 17], "step": 141, "ordinal_position": 142}, {"identifier": "D52", "position": [11, 16], "step": 142, "ordinal_position": 143}, {"identifier": "K29", "position": [11, 15], "step": 143, "ordinal_position": 144}, {"identifier": "G70", "position": [10, 15], "step": 144, "ordinal_position": 145}, {"identifier": "K23", "position": [9, 15], "step": 145, "ordinal_position": 146}, {"identifier": "J23", "position": [8, 15], "step": 146, "ordinal_position": 147}, {"identifier": "L43", "position": [7, 15], "step": 147, "ordinal_position": 148}, {"identifier": "S75", "position": [6, 15], "step": 148, "ordinal_position": 149}, {"identifier": "O21", "position": [5, 15], "step": 149, "ordinal_position": 150}, {"identifier": "R33", "position": [4, 15], "step": 150, "ordinal_position": 151}, {"identifier": "Y50", "position": [3, 15], "step": 151, "ordinal_position": 152}, {"identifier": "H75", "position": [2, 15], "step": 152, "ordinal_position": 153}, {"identifier": "C93", "position": [1, 15], "step": 153, "ordinal_position": 154}, {"identifier": "G08", "position": [1, 16], "step": 154, "ordinal_position": 155}, {"identifier": "Z17", "position": [1, 17], "step": 155, "ordinal_position": 156}, {"identifier": "S19", "position": [1, 18], "step": 156, "ordinal_position": 157}], "generation_details": {"level_category": "L3_high", "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "ordinal_value": 157, "direction": "right", "turn_preference": "right", "total_objects": 209, "grid_size": 21, "source_layout_file": "/Users/yusuke_tozaki/a_main/a_repositories/ordinal/data/2d/layout_jsons/L3_maze_loop/L3-MazeLoop-test_21x21_019.json"}} {"qa_id": "d09b66a4b2c646d781fb086d9cf2cc4e", "image_id": "L3-MazeLoop-test_21x21_019", "question": "# Rules\nThe maze consists of paths and walls, with each cell labeled from A00 to Z99.\nCells are separated by black walls; white tiles represent valid paths.\nStarting from the cell labeled M91, treat this cell as the first in the sequence.\nBegin facing the down direction.\nMove according to the following rule:\n- Continue moving straight as long as a path is available.\n- When you can no longer move straight (i.e., there is a wall directly ahead), check the paths to your right and left:\n - If both right and left paths are available, turn left.\n - If only one side has a path, turn in that direction.\n\n# Question\nWhat is the identifier of the cell you pass through at the 131st position in this traversal?", "start_object_id": "M91", "directions": ["down"], "turn_preferences": ["left"], "ordinal_numbers": [131], "ordinal_strings": ["131st"], "ordinal_number_levels": ["L3_high"], "arr_level": "L3_maze_loop", "n_of_objects_level": "L3_many", "answer": "H83", "traversal_path": [{"identifier": "M91", "position": [17, 14], "step": 0, "ordinal_position": 1}, {"identifier": "V32", "position": [17, 15], "step": 1, "ordinal_position": 2}, {"identifier": "Q37", "position": [16, 15], "step": 2, "ordinal_position": 3}, {"identifier": "Y97", "position": [15, 15], "step": 3, "ordinal_position": 4}, {"identifier": "E97", "position": [14, 15], "step": 4, "ordinal_position": 5}, {"identifier": "T03", "position": [13, 15], "step": 5, "ordinal_position": 6}, {"identifier": "E19", "position": [13, 14], "step": 6, "ordinal_position": 7}, {"identifier": "E76", "position": [13, 13], "step": 7, "ordinal_position": 8}, {"identifier": "Y41", "position": [12, 13], "step": 8, "ordinal_position": 9}, {"identifier": "P69", "position": [11, 13], "step": 9, "ordinal_position": 10}, {"identifier": "J87", "position": [10, 13], "step": 10, "ordinal_position": 11}, {"identifier": "K73", "position": [9, 13], "step": 11, "ordinal_position": 12}, {"identifier": "G39", "position": [9, 12], "step": 12, "ordinal_position": 13}, {"identifier": "C96", "position": [9, 11], "step": 13, "ordinal_position": 14}, {"identifier": "S74", "position": [8, 11], "step": 14, "ordinal_position": 15}, {"identifier": "B08", "position": [7, 11], "step": 15, "ordinal_position": 16}, {"identifier": "A08", "position": [7, 12], "step": 16, "ordinal_position": 17}, {"identifier": "V36", "position": [7, 13], "step": 17, "ordinal_position": 18}, {"identifier": "G97", "position": [6, 13], "step": 18, "ordinal_position": 19}, {"identifier": "B70", "position": [5, 13], "step": 19, "ordinal_position": 20}, {"identifier": "K17", "position": [4, 13], "step": 20, "ordinal_position": 21}, {"identifier": "Q25", "position": [3, 13], "step": 21, "ordinal_position": 22}, {"identifier": "H92", "position": [2, 13], "step": 22, "ordinal_position": 23}, {"identifier": "X89", "position": [1, 13], "step": 23, "ordinal_position": 24}, {"identifier": "J05", "position": [1, 12], "step": 24, "ordinal_position": 25}, {"identifier": "U10", "position": [1, 11], "step": 25, "ordinal_position": 26}, {"identifier": "Q05", "position": [1, 10], "step": 26, "ordinal_position": 27}, {"identifier": "G22", "position": [1, 9], "step": 27, "ordinal_position": 28}, {"identifier": "O49", "position": [1, 8], "step": 28, "ordinal_position": 29}, {"identifier": "R90", "position": [1, 7], "step": 29, "ordinal_position": 30}, {"identifier": "M46", "position": [2, 7], "step": 30, "ordinal_position": 31}, {"identifier": "R02", "position": [3, 7], "step": 31, "ordinal_position": 32}, {"identifier": "H01", "position": [3, 6], "step": 32, "ordinal_position": 33}, {"identifier": "E23", "position": [3, 5], "step": 33, "ordinal_position": 34}, {"identifier": "P60", "position": [2, 5], "step": 34, "ordinal_position": 35}, {"identifier": "C03", "position": [1, 5], "step": 35, "ordinal_position": 36}, {"identifier": "X54", "position": [1, 4], "step": 36, "ordinal_position": 37}, {"identifier": "C58", "position": [1, 3], "step": 37, "ordinal_position": 38}, {"identifier": "C83", "position": [1, 2], "step": 38, "ordinal_position": 39}, {"identifier": "D83", "position": [1, 1], "step": 39, "ordinal_position": 40}, {"identifier": "O86", "position": [2, 1], "step": 40, "ordinal_position": 41}, {"identifier": "C63", "position": [3, 1], "step": 41, "ordinal_position": 42}, {"identifier": "F15", "position": [4, 1], "step": 42, "ordinal_position": 43}, {"identifier": "T88", "position": [5, 1], "step": 43, "ordinal_position": 44}, {"identifier": "G72", "position": [6, 1], "step": 44, "ordinal_position": 45}, {"identifier": "S77", "position": [7, 1], "step": 45, "ordinal_position": 46}, {"identifier": "W80", "position": [7, 2], "step": 46, "ordinal_position": 47}, {"identifier": "G96", "position": [7, 3], "step": 47, "ordinal_position": 48}, {"identifier": "P03", "position": [6, 3], "step": 48, "ordinal_position": 49}, {"identifier": "V59", "position": [5, 3], "step": 49, "ordinal_position": 50}, {"identifier": "N76", "position": [4, 3], "step": 50, "ordinal_position": 51}, {"identifier": "Y52", "position": [3, 3], "step": 51, "ordinal_position": 52}, {"identifier": "Y43", "position": [2, 3], "step": 52, "ordinal_position": 53}, {"identifier": "C58", "position": [1, 3], "step": 53, "ordinal_position": 54}, {"identifier": "X54", 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